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<h1>glm::core::function::trigonometric Namespace Reference</h1>
<p>Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification.
<a href="#_details">More...</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a52a4b4cbe6d47f94d06ee1efd95786e6">acos</a> (genType const &amp;x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc cosine. <a href="#a52a4b4cbe6d47f94d06ee1efd95786e6"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a7c8d8ac539a43da0d41e656a38262ff0">acosh</a> (genType const &amp;x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc hyperbolic cosine; returns the non-negative inverse of cosh. <a href="#a7c8d8ac539a43da0d41e656a38262ff0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a3c625e34fc99b33829c28c6d580df7e2">asin</a> (genType const &amp;x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc sine. <a href="#a3c625e34fc99b33829c28c6d580df7e2"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a7ba20fc7c7b3eeef601e73b130e63db5">asinh</a> (genType const &amp;x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc hyperbolic sine; returns the inverse of sinh. <a href="#a7ba20fc7c7b3eeef601e73b130e63db5"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a3abfab80cac8e26d4efda9949586ded6">atan</a> (genType const &amp;y_over_x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc tangent. <a href="#a3abfab80cac8e26d4efda9949586ded6"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a32dbceedb2910e519860a225ae7f7450">atan</a> (genType const &amp;y, genType const &amp;x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc tangent. <a href="#a32dbceedb2910e519860a225ae7f7450"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a4d896caf7b1a8e5b5e3b29394e8c0ecd">atanh</a> (genType const &amp;x)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Arc hyperbolic tangent; returns the inverse of tanh. <a href="#a4d896caf7b1a8e5b5e3b29394e8c0ecd"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a4fbc8481a95bcc1c0c6931a34449b9a8">cos</a> (genType const &amp;angle)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The standard <a class="el" href="a00132.html" title="Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification...">trigonometric</a> cosine <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>. <a href="#a4fbc8481a95bcc1c0c6931a34449b9a8"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a2cfdbcd7a269a114cbb4f19dcf1e3f8b"></a><!-- doxytag: member="glm::core::function::trigonometric::cosh" ref="a2cfdbcd7a269a114cbb4f19dcf1e3f8b" args="(genType const &amp;angle)" -->
template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a2cfdbcd7a269a114cbb4f19dcf1e3f8b">cosh</a> (genType const &amp;angle)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns the hyperbolic cosine <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>, (exp(x) + exp(-x)) / 2 (From GLSL 1.30.08 specification, section 8.1). <br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a2dc092f93e998e01c1cfdaef817ca926">degrees</a> (genType const &amp;radians)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Converts radians to degrees and returns the result. <a href="#a2dc092f93e998e01c1cfdaef817ca926"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a40251a4a07049e7fdcbf155c3cc6d32a">radians</a> (genType const &amp;degrees)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Converts degrees to radians and returns the result. <a href="#a40251a4a07049e7fdcbf155c3cc6d32a"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#ad246389321f46f7cb1cc422f9fd64cf4">sin</a> (genType const &amp;angle)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The standard <a class="el" href="a00132.html" title="Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification...">trigonometric</a> sine <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>. <a href="#ad246389321f46f7cb1cc422f9fd64cf4"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a13a63bc67a160b1614ba3681f57fe480"></a><!-- doxytag: member="glm::core::function::trigonometric::sinh" ref="a13a63bc67a160b1614ba3681f57fe480" args="(genType const &amp;angle)" -->
template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a13a63bc67a160b1614ba3681f57fe480">sinh</a> (genType const &amp;angle)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns the hyperbolic sine <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>, (exp(x) - exp(-x)) / 2 (From GLSL 1.30.08 specification, section 8.1). <br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#a1a556079a4fee8b5e12fcfe7551f6931">tan</a> (genType const &amp;angle)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The standard <a class="el" href="a00132.html" title="Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification...">trigonometric</a> tangent <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>. <a href="#a1a556079a4fee8b5e12fcfe7551f6931"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2"><a class="anchor" id="ad93de1d635832bf722eb78a088bfbaa6"></a><!-- doxytag: member="glm::core::function::trigonometric::tanh" ref="ad93de1d635832bf722eb78a088bfbaa6" args="(genType const &amp;angle)" -->
template&lt;typename genType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">genType&nbsp;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00132.html#ad93de1d635832bf722eb78a088bfbaa6">tanh</a> (genType const &amp;angle)</td></tr>
<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns the hyperbolic tangent <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>, sinh(angle) / cosh(angle) (From GLSL 1.30.08 specification, section 8.1). <br/></td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification. </p>
<p>Included in <a class="el" href="a00124.html" title="GLM namespace, it contains all GLSL based features.">glm</a> namespace. </p>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="a52a4b4cbe6d47f94d06ee1efd95786e6"></a><!-- doxytag: member="glm::core::function::trigonometric::acos" ref="a52a4b4cbe6d47f94d06ee1efd95786e6" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::core::function::trigonometric::acos </td>
<td>(</td>
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<td class="paramname"> <em>x</em></td>
<td>&nbsp;)&nbsp;</td>
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<p>Arc cosine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a> is [0, PI]. Results are undefined if |x| &gt; 1. (From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a7c8d8ac539a43da0d41e656a38262ff0"></a><!-- doxytag: member="glm::core::function::trigonometric::acosh" ref="a7c8d8ac539a43da0d41e656a38262ff0" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::core::function::trigonometric::acosh </td>
<td>(</td>
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<td class="paramname"> <em>x</em></td>
<td>&nbsp;)&nbsp;</td>
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<div class="memdoc">
<p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
<p>Results are undefined if x &lt; 1. (From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a3c625e34fc99b33829c28c6d580df7e2"></a><!-- doxytag: member="glm::core::function::trigonometric::asin" ref="a3c625e34fc99b33829c28c6d580df7e2" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::core::function::trigonometric::asin </td>
<td>(</td>
<td class="paramtype">genType const &amp;&nbsp;</td>
<td class="paramname"> <em>x</em></td>
<td>&nbsp;)&nbsp;</td>
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<p>Arc sine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a> is [-PI/2, PI/2]. Results are undefined if |x| &gt; 1. (From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a7ba20fc7c7b3eeef601e73b130e63db5"></a><!-- doxytag: member="glm::core::function::trigonometric::asinh" ref="a7ba20fc7c7b3eeef601e73b130e63db5" args="(genType const &amp;x)" -->
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<td class="memname">genType glm::core::function::trigonometric::asinh </td>
<td>(</td>
<td class="paramtype">genType const &amp;&nbsp;</td>
<td class="paramname"> <em>x</em></td>
<td>&nbsp;)&nbsp;</td>
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<p>Arc hyperbolic sine; returns the inverse of sinh. </p>
<p>(From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a3abfab80cac8e26d4efda9949586ded6"></a><!-- doxytag: member="glm::core::function::trigonometric::atan" ref="a3abfab80cac8e26d4efda9949586ded6" args="(genType const &amp;y_over_x)" -->
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<td class="memname">genType glm::core::function::trigonometric::atan </td>
<td>(</td>
<td class="paramtype">genType const &amp;&nbsp;</td>
<td class="paramname"> <em>y_over_x</em></td>
<td>&nbsp;)&nbsp;</td>
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<p>Arc tangent. </p>
<p>Returns an angle whose tangent is y_over_x. The range of values returned by this <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a> is [-PI/2, PI/2]. (From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a32dbceedb2910e519860a225ae7f7450"></a><!-- doxytag: member="glm::core::function::trigonometric::atan" ref="a32dbceedb2910e519860a225ae7f7450" args="(genType const &amp;y, genType const &amp;x)" -->
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<td>(</td>
<td class="paramtype">genType const &amp;&nbsp;</td>
<td class="paramname"> <em>y</em>, </td>
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<td>)</td>
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<p>Arc tangent. </p>
<p>Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a> is [-PI, PI]. Results are undefined if x and y are both 0. (From GLSL 1.30.08 specification, section 8.1) </p>
<p>Referenced by <a class="el" href="a00011_source.html#l00053">glm::gtx::compatibility::atan2()</a>.</p>
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<a class="anchor" id="a4d896caf7b1a8e5b5e3b29394e8c0ecd"></a><!-- doxytag: member="glm::core::function::trigonometric::atanh" ref="a4d896caf7b1a8e5b5e3b29394e8c0ecd" args="(genType const &amp;x)" -->
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<td>(</td>
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<p>Arc hyperbolic tangent; returns the inverse of tanh. </p>
<p>Results are undefined if abs(x) &gt;= 1. (From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a4fbc8481a95bcc1c0c6931a34449b9a8"></a><!-- doxytag: member="glm::core::function::trigonometric::cos" ref="a4fbc8481a95bcc1c0c6931a34449b9a8" args="(genType const &amp;angle)" -->
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<td>&nbsp;)&nbsp;</td>
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<p>The standard <a class="el" href="a00132.html" title="Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification...">trigonometric</a> cosine <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>. </p>
<p>The values returned by this <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a> will range from [-1, 1]. (From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="a2dc092f93e998e01c1cfdaef817ca926"></a><!-- doxytag: member="glm::core::function::trigonometric::degrees" ref="a2dc092f93e998e01c1cfdaef817ca926" args="(genType const &amp;radians)" -->
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<td class="paramname"> <em>radians</em></td>
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<p>Converts radians to degrees and returns the result. </p>
<p>(From GLSL 1.30.08 specification, section 8.1) </p>
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<td>(</td>
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<td class="paramname"> <em>degrees</em></td>
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<p>Converts degrees to radians and returns the result. </p>
<p>(From GLSL 1.30.08 specification, section 8.1) </p>
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<a class="anchor" id="ad246389321f46f7cb1cc422f9fd64cf4"></a><!-- doxytag: member="glm::core::function::trigonometric::sin" ref="ad246389321f46f7cb1cc422f9fd64cf4" args="(genType const &amp;angle)" -->
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<td>(</td>
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<td class="paramname"> <em>angle</em></td>
<td>&nbsp;)&nbsp;</td>
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<p>The standard <a class="el" href="a00132.html" title="Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification...">trigonometric</a> sine <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>. </p>
<p>The values returned by this <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a> will range from [-1, 1]. (From GLSL 1.30.08 specification, section 8.1) </p>
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<td class="memname">genType glm::core::function::trigonometric::tan </td>
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<td class="paramname"> <em>angle</em></td>
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<p>The standard <a class="el" href="a00132.html" title="Define Angle and trigonometry functions from Section 8.1 of GLSL 1.30.8 specification...">trigonometric</a> tangent <a class="el" href="a00126.html" title="Some of the functions defined in section 8 Built-in Functions of GLSL 1.30.8 specification...">function</a>. </p>
<p>(From GLSL 1.30.08 specification, section 8.1) </p>
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