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<table class="memberdecls">
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<table class="memberdecls">
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<tr class="memitem:gaae7085c537556dd281121a349ffb2b93"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cscpi&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaae7085c537556dd281121a349ffb2b93.html#gaae7085c537556dd281121a349ffb2b93">kyosu::cscpi</a> = {}</td></tr>
<tr class="memdesc:gaae7085c537556dd281121a349ffb2b93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the cosecant from the argument in \(\pi\) multiples. <br /></td></tr>
<tr class="separator:gaae7085c537556dd281121a349ffb2b93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_i0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gab1f5b5dc6efa67f0542e64ceb84fd843.html#gab1f5b5dc6efa67f0542e64ceb84fd843">kyosu::cyl_bessel_i0</a> = {}</td></tr>
<tr class="memdesc:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga9022cd9a81d5057a6f3356c16c76c940"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_i1&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga9022cd9a81d5057a6f3356c16c76c940.html#ga9022cd9a81d5057a6f3356c16c76c940">kyosu::cyl_bessel_i1</a> = {}</td></tr>
<tr class="memdesc:ga9022cd9a81d5057a6f3356c16c76c940"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:ga9022cd9a81d5057a6f3356c16c76c940"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaeae54b007bf49f4ff84a5f73e3c9b0a8"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_j0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaeae54b007bf49f4ff84a5f73e3c9b0a8.html#gaeae54b007bf49f4ff84a5f73e3c9b0a8">kyosu::cyl_bessel_j0</a> = {}</td></tr>
<tr class="memdesc:gaeae54b007bf49f4ff84a5f73e3c9b0a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:gaeae54b007bf49f4ff84a5f73e3c9b0a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab07b0b22e10bac659c95fd81ea819086"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_j1&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gab07b0b22e10bac659c95fd81ea819086.html#gab07b0b22e10bac659c95fd81ea819086">kyosu::cyl_bessel_j1</a> = {}</td></tr>
<tr class="memdesc:gab07b0b22e10bac659c95fd81ea819086"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_1(x)=\frac1{\pi }\int _{0}^{\pi}\cos(\tau-x\sin \tau )\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:gab07b0b22e10bac659c95fd81ea819086"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_y0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaa83c3abe27e3ecd25b8eccdada1b8f2d.html#gaa83c3abe27e3ecd25b8eccdada1b8f2d">kyosu::cyl_bessel_y0</a> = {}</td></tr>
<tr class="memdesc:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the second kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga265f03cd0d4edaaecd88fbcfc3346644"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_dec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga265f03cd0d4edaaecd88fbcfc3346644.html#ga265f03cd0d4edaaecd88fbcfc3346644">kyosu::dec</a> = {}</td></tr>
<tr class="memdesc:ga265f03cd0d4edaaecd88fbcfc3346644"><td class="mdescLeft">&#160;</td><td class="mdescRight">decrements the argument by 1. <br /></td></tr>
<tr class="separator:ga265f03cd0d4edaaecd88fbcfc3346644"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="separator:gaa2dcdb1644aa5086e764ee6de919ad93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gacb0340f73510f30b99ad37fa82c22e8f"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_erf&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gacb0340f73510f30b99ad37fa82c22e8f.html#gacb0340f73510f30b99ad37fa82c22e8f">kyosu::erf</a> = {}</td></tr>
<tr class="memdesc:gacb0340f73510f30b99ad37fa82c22e8f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the error function: \( \displaystyle
\mbox{erf}(x)=\frac{2}{\sqrt\pi}\int_0^{x} e^{-t^2}\mbox{d}t\) or its analytic continuation in the complex plane. <br /></td></tr>
\mbox{erf}(x)=\frac{2}{\sqrt\pi}\int_0^{x} e^{-t^2}\mbox{d}t\) or its extension to complex and general cayley-dickson values. <br /></td></tr>
<tr class="separator:gacb0340f73510f30b99ad37fa82c22e8f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga738d6a61ebf48d0bacd80f958d1b590b"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_erfcx&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga738d6a61ebf48d0bacd80f958d1b590b.html#ga738d6a61ebf48d0bacd80f958d1b590b">kyosu::erfcx</a> = {}</td></tr>
<tr class="memdesc:ga738d6a61ebf48d0bacd80f958d1b590b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the normalized complementary error function \( \displaystyle \mbox{erfcx}(x) = e^{x^2} \mbox{erfc}(x)\). <br /></td></tr>
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<tr class="memdesc:gad00c7ec9930289364786f5004c212c9b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the log of the modulus of the \(\Gamma\) function of the parameter. <br /></td></tr>
<tr class="separator:gad00c7ec9930289364786f5004c212c9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga0e8c3f00c6f3777a5a14320c7b1a31da"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_log_gamma&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga0e8c3f00c6f3777a5a14320c7b1a31da.html#ga0e8c3f00c6f3777a5a14320c7b1a31da">kyosu::log_gamma</a> = {}</td></tr>
<tr class="memdesc:ga0e8c3f00c6f3777a5a14320c7b1a31da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the log of the \(\Gamma\) function of the parameter. <br /></td></tr>
<tr class="memdesc:ga0e8c3f00c6f3777a5a14320c7b1a31da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the log of the \(\Gamma\) function. <br /></td></tr>
<tr class="separator:ga0e8c3f00c6f3777a5a14320c7b1a31da"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gac828b36348f592f5f2d891bd546ee733"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_lpart&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gac828b36348f592f5f2d891bd546ee733.html#gac828b36348f592f5f2d891bd546ee733">kyosu::lpart</a> = {}</td></tr>
<tr class="memdesc:gac828b36348f592f5f2d891bd546ee733"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extracts the l (fifth) part of a value. <br /></td></tr>
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<div class="line"> <span class="keyword">template</span>&lt;<span class="keyword">typename</span> ... Ts&gt; <span class="keyword">auto</span> <a class="code hl_variable" href="group__functions_ga013ae7a04bb6a995c81537ab9c4396b4.html#ga013ae7a04bb6a995c81537ab9c4396b4">manhattan</a>(Ts ... zi ) <span class="keyword">const</span> <span class="keyword">noexcept</span></div>
<div class="line">}</div>
<div class="ttc" id="agroup__functions_ga013ae7a04bb6a995c81537ab9c4396b4_html_ga013ae7a04bb6a995c81537ab9c4396b4"><div class="ttname"><a href="group__functions_ga013ae7a04bb6a995c81537ab9c4396b4.html#ga013ae7a04bb6a995c81537ab9c4396b4">kyosu::manhattan</a></div><div class="ttdeci">constexpr tags::callable_manhattan manhattan</div><div class="ttdoc">Callable object computing the manhattan operation.</div><div class="ttdef"><b>Definition:</b> manhattan.hpp:74</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> beta.hpp:13</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> types.hpp:14</div></div>
</div><!-- fragment --><p><b>Parameters</b></p>
<ul>
<li><code>zi...</code>: Values to process.</li>
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<div class="line"> <span class="keyword">constexpr</span> <span class="keyword">auto</span> <a class="code hl_variable" href="group__functions_ga61fefac92fc13470ee246ab0a77a8008.html#ga61fefac92fc13470ee246ab0a77a8008">average</a>(<span class="keyword">auto</span> z0, <span class="keyword">auto</span> z1) <span class="keyword">noexcept</span>;</div>
<div class="line">}</div>
<div class="ttc" id="agroup__functions_ga61fefac92fc13470ee246ab0a77a8008_html_ga61fefac92fc13470ee246ab0a77a8008"><div class="ttname"><a href="group__functions_ga61fefac92fc13470ee246ab0a77a8008.html#ga61fefac92fc13470ee246ab0a77a8008">kyosu::average</a></div><div class="ttdeci">constexpr tags::callable_average average</div><div class="ttdoc">Computes the average of the parameters.</div><div class="ttdef"><b>Definition:</b> average.hpp:74</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> beta.hpp:13</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> types.hpp:14</div></div>
</div><!-- fragment --><p><b>Parameters</b></p>
<ul>
<li><code>z0</code>, <code>z1</code>: Values to process.</li>
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<div class="line"> <span class="keyword">template</span>&lt;eve::<span class="keywordtype">float</span>ing_ordered_value T&gt; <span class="keyword">constexpr</span> T <a class="code hl_variable" href="group__functions_ga054a9a0efe44dd5dcc9bb675b0f9e89d.html#ga054a9a0efe44dd5dcc9bb675b0f9e89d">rec</a>(T z) <span class="keyword">noexcept</span>;</div>
<div class="line">}</div>
<div class="ttc" id="agroup__functions_ga054a9a0efe44dd5dcc9bb675b0f9e89d_html_ga054a9a0efe44dd5dcc9bb675b0f9e89d"><div class="ttname"><a href="group__functions_ga054a9a0efe44dd5dcc9bb675b0f9e89d.html#ga054a9a0efe44dd5dcc9bb675b0f9e89d">kyosu::rec</a></div><div class="ttdeci">constexpr tags::callable_rec rec</div><div class="ttdoc">Computes the inverse of the argument.</div><div class="ttdef"><b>Definition:</b> rec.hpp:73</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> beta.hpp:13</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> types.hpp:14</div></div>
</div><!-- fragment --><p><b>Parameters</b></p>
<ul>
<li><code>z</code>: Value to process.</li>
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<div class="line"> <span class="keyword">template</span>&lt;eve::<span class="keywordtype">float</span>ing_ordered_value T&gt; <span class="keyword">constexpr</span> T <a class="code hl_variable" href="group__functions_ga057662e8933c9837bb4bbb5ffb2822f0.html#ga057662e8933c9837bb4bbb5ffb2822f0">kpart</a>(T <span class="keyword">const</span>&amp; z) <span class="keyword">noexcept</span>;</div>
<div class="line">}</div>
<div class="ttc" id="agroup__functions_ga057662e8933c9837bb4bbb5ffb2822f0_html_ga057662e8933c9837bb4bbb5ffb2822f0"><div class="ttname"><a href="group__functions_ga057662e8933c9837bb4bbb5ffb2822f0.html#ga057662e8933c9837bb4bbb5ffb2822f0">kyosu::kpart</a></div><div class="ttdeci">constexpr tags::callable_kpart kpart</div><div class="ttdoc">Extracts the part of a value.</div><div class="ttdef"><b>Definition:</b> kpart.hpp:80</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> beta.hpp:13</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> types.hpp:14</div></div>
</div><!-- fragment --><p><b>Parameters</b></p>
<ul>
<li><code>z</code>: Original value.</li>
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<div class="line"> <span class="keyword">template</span>&lt;kyosu::concepts::cayley_dickson T&gt; <span class="keyword">constexpr</span> <span class="keyword">auto</span> <a class="code hl_variable" href="group__functions_ga0704e6ec9b43b3f6a8864e38b566f795.html#ga0704e6ec9b43b3f6a8864e38b566f795">acot</a>(T z) <span class="keyword">noexcept</span>; <span class="comment">//3</span></div>
<div class="line">}</div>
<div class="ttc" id="agroup__functions_ga0704e6ec9b43b3f6a8864e38b566f795_html_ga0704e6ec9b43b3f6a8864e38b566f795"><div class="ttname"><a href="group__functions_ga0704e6ec9b43b3f6a8864e38b566f795.html#ga0704e6ec9b43b3f6a8864e38b566f795">kyosu::acot</a></div><div class="ttdeci">constexpr tags::callable_acot acot</div><div class="ttdoc">Computes the arc cotangent of the argument.</div><div class="ttdef"><b>Definition:</b> acot.hpp:84</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> beta.hpp:13</div></div>
<div class="ttc" id="anamespacekyosu_html"><div class="ttname"><a href="namespacekyosu.html">kyosu</a></div><div class="ttdoc">Main KYOSU namespace.</div><div class="ttdef"><b>Definition:</b> types.hpp:14</div></div>
</div><!-- fragment --><p><b>Parameters</b></p>
<ul>
<li><code>z</code>: Value to process.</li>
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