Add lemniscate functions

build/math.js

@@ -1336,6 +1336,10 @@ function cd( x, m ) { return div( cn(x,m), dn(x,m) ); }
 
 function dc( x, m ) { return div( dn(x,m), cn(x,m) ); }
 
+function lemniscateSin( x ) { return sn(x,-1); }
+
+function lemniscateCos( x ) { return dn(x,2); }
+
 
 function weierstrassRoots( g2, g3 ) {
 

docs/functions.html

@@ -243,6 +243,10 @@ <h1>Elliptic Functions</h1>
 
 <p><b>dc( <i>x</i>, <i>m</i> )</b> &mdash; ratio of Jacobi elliptic delta amplitude and cosine of a real or complex number with real or complex elliptic parameter <i>m</i></p>
 
+<p><b>lemniscateSin( <i>x</i> )</b> &mdash; lemniscate sine of a real or complex number</p>
+
+<p><b>lemniscateCos( <i>x</i> )</b> &mdash; lemniscate cosine of a real or complex number</p>
+
 <p><b>weierstrassRoots( <i>g</i><sub>2</sub>, <i>g</i><sub>3</sub> )</b> &mdash; Weierstrass roots <i>e</i><sub>1</sub>, <i>e</i><sub>2</sub> and <i>e</i><sub>3</sub> for real or complex invariants. Returned as an array.</p>
 
 <p><b>weierstrassHalfPeriods( <i>g</i><sub>2</sub>, <i>g</i><sub>3</sub> )</b> &mdash; Weierstrass half periods <i>w</i><sub>1</sub> and <i>w</i><sub>2</sub> for real or complex invariants. Returned as an array. Consistent with evaluation of Weierstrass elliptic function in terms of Jacobi elliptic sine.</p>

src/functions/elliptic-functions.js

@@ -380,6 +380,10 @@ function cd( x, m ) { return div( cn(x,m), dn(x,m) ); }
 
 function dc( x, m ) { return div( dn(x,m), cn(x,m) ); }
 
+function lemniscateSin( x ) { return sn(x,-1); }
+
+function lemniscateCos( x ) { return dn(x,2); }
+
 
 function weierstrassRoots( g2, g3 ) {