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<div class="header">
  <div class="summary">
<a href="#func-members">Functions</a>  </div>
  <div class="headertitle">
<div class="title">Angle and Trigonometry Functions<div class="ingroups"><a class="el" href="a00155.html">GLM Core</a></div></div>  </div>
</div><!--header-->
<div class="contents">

<p>Function parameters specified as angle are assumed to be in units of radians.  
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga58ad259b788528fe0a4bd2eeb5e381cc"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga58ad259b788528fe0a4bd2eeb5e381cc"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga58ad259b788528fe0a4bd2eeb5e381cc">acos</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga58ad259b788528fe0a4bd2eeb5e381cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc cosine.  <a href="a00151.html#ga58ad259b788528fe0a4bd2eeb5e381cc">More...</a><br /></td></tr>
<tr class="separator:ga58ad259b788528fe0a4bd2eeb5e381cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga3f368ad3e1883b60748ca2634d816104"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga3f368ad3e1883b60748ca2634d816104"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga3f368ad3e1883b60748ca2634d816104">acosh</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga3f368ad3e1883b60748ca2634d816104"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc hyperbolic cosine; returns the non-negative inverse of cosh.  <a href="a00151.html#ga3f368ad3e1883b60748ca2634d816104">More...</a><br /></td></tr>
<tr class="separator:ga3f368ad3e1883b60748ca2634d816104"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga88e29b8289e882859d76a25798dd9490"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga88e29b8289e882859d76a25798dd9490"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga88e29b8289e882859d76a25798dd9490">asin</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga88e29b8289e882859d76a25798dd9490"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc sine.  <a href="a00151.html#ga88e29b8289e882859d76a25798dd9490">More...</a><br /></td></tr>
<tr class="separator:ga88e29b8289e882859d76a25798dd9490"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga72bf44c1984e1afb63acf821ba33cac7"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga72bf44c1984e1afb63acf821ba33cac7"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga72bf44c1984e1afb63acf821ba33cac7">asinh</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga72bf44c1984e1afb63acf821ba33cac7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc hyperbolic sine; returns the inverse of sinh.  <a href="a00151.html#ga72bf44c1984e1afb63acf821ba33cac7">More...</a><br /></td></tr>
<tr class="separator:ga72bf44c1984e1afb63acf821ba33cac7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga461e769acb8b8cb695a5a89334546611"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga461e769acb8b8cb695a5a89334546611"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga461e769acb8b8cb695a5a89334546611">atan</a> (vecType&lt; T, P &gt; const &amp;y, vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga461e769acb8b8cb695a5a89334546611"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc tangent.  <a href="a00151.html#ga461e769acb8b8cb695a5a89334546611">More...</a><br /></td></tr>
<tr class="separator:ga461e769acb8b8cb695a5a89334546611"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae8f22458bba8f2321ceb1bfc4a543216"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gae8f22458bba8f2321ceb1bfc4a543216"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gae8f22458bba8f2321ceb1bfc4a543216">atan</a> (vecType&lt; T, P &gt; const &amp;y_over_x)</td></tr>
<tr class="memdesc:gae8f22458bba8f2321ceb1bfc4a543216"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc tangent.  <a href="a00151.html#gae8f22458bba8f2321ceb1bfc4a543216">More...</a><br /></td></tr>
<tr class="separator:gae8f22458bba8f2321ceb1bfc4a543216"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaffa8decdd8620759f4e6fe4834768b87"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gaffa8decdd8620759f4e6fe4834768b87"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gaffa8decdd8620759f4e6fe4834768b87">atanh</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:gaffa8decdd8620759f4e6fe4834768b87"><td class="mdescLeft">&#160;</td><td class="mdescRight">Arc hyperbolic tangent; returns the inverse of tanh.  <a href="a00151.html#gaffa8decdd8620759f4e6fe4834768b87">More...</a><br /></td></tr>
<tr class="separator:gaffa8decdd8620759f4e6fe4834768b87"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga728fd86f14609e37d83f82429995b7b3"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga728fd86f14609e37d83f82429995b7b3"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga728fd86f14609e37d83f82429995b7b3">cos</a> (vecType&lt; T, P &gt; const &amp;angle)</td></tr>
<tr class="memdesc:ga728fd86f14609e37d83f82429995b7b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">The standard trigonometric cosine function.  <a href="a00151.html#ga728fd86f14609e37d83f82429995b7b3">More...</a><br /></td></tr>
<tr class="separator:ga728fd86f14609e37d83f82429995b7b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga660582a4e5e843b6c1cd535777e8c295"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga660582a4e5e843b6c1cd535777e8c295"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga660582a4e5e843b6c1cd535777e8c295">cosh</a> (vecType&lt; T, P &gt; const &amp;angle)</td></tr>
<tr class="memdesc:ga660582a4e5e843b6c1cd535777e8c295"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2.  <a href="a00151.html#ga660582a4e5e843b6c1cd535777e8c295">More...</a><br /></td></tr>
<tr class="separator:ga660582a4e5e843b6c1cd535777e8c295"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gabccdcc282134fd62af0ff3d6e4bb21f1"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gabccdcc282134fd62af0ff3d6e4bb21f1"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL GLM_CONSTEXPR vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gabccdcc282134fd62af0ff3d6e4bb21f1">degrees</a> (vecType&lt; T, P &gt; const &amp;radians)</td></tr>
<tr class="memdesc:gabccdcc282134fd62af0ff3d6e4bb21f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts radians to degrees and returns the result.  <a href="a00151.html#gabccdcc282134fd62af0ff3d6e4bb21f1">More...</a><br /></td></tr>
<tr class="separator:gabccdcc282134fd62af0ff3d6e4bb21f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gafffb5e533f75318bdf4e0967d8a6c05c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gafffb5e533f75318bdf4e0967d8a6c05c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL GLM_CONSTEXPR vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gafffb5e533f75318bdf4e0967d8a6c05c">radians</a> (vecType&lt; T, P &gt; const &amp;degrees)</td></tr>
<tr class="memdesc:gafffb5e533f75318bdf4e0967d8a6c05c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts degrees to radians and returns the result.  <a href="a00151.html#gafffb5e533f75318bdf4e0967d8a6c05c">More...</a><br /></td></tr>
<tr class="separator:gafffb5e533f75318bdf4e0967d8a6c05c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga4a0ddceb6b1e64ce0e4da209dcb021d5"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga4a0ddceb6b1e64ce0e4da209dcb021d5"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga4a0ddceb6b1e64ce0e4da209dcb021d5">sin</a> (vecType&lt; T, P &gt; const &amp;angle)</td></tr>
<tr class="memdesc:ga4a0ddceb6b1e64ce0e4da209dcb021d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">The standard trigonometric sine function.  <a href="a00151.html#ga4a0ddceb6b1e64ce0e4da209dcb021d5">More...</a><br /></td></tr>
<tr class="separator:ga4a0ddceb6b1e64ce0e4da209dcb021d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gad8f89c12efe6f8d3ae8046625b266254"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gad8f89c12efe6f8d3ae8046625b266254"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gad8f89c12efe6f8d3ae8046625b266254">sinh</a> (vecType&lt; T, P &gt; const &amp;angle)</td></tr>
<tr class="memdesc:gad8f89c12efe6f8d3ae8046625b266254"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2.  <a href="a00151.html#gad8f89c12efe6f8d3ae8046625b266254">More...</a><br /></td></tr>
<tr class="separator:gad8f89c12efe6f8d3ae8046625b266254"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab3ae890c38b7d3aa4d5e00998fd296b2"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gab3ae890c38b7d3aa4d5e00998fd296b2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#gab3ae890c38b7d3aa4d5e00998fd296b2">tan</a> (vecType&lt; T, P &gt; const &amp;angle)</td></tr>
<tr class="memdesc:gab3ae890c38b7d3aa4d5e00998fd296b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">The standard trigonometric tangent function.  <a href="a00151.html#gab3ae890c38b7d3aa4d5e00998fd296b2">More...</a><br /></td></tr>
<tr class="separator:gab3ae890c38b7d3aa4d5e00998fd296b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga234e904a0075f88654a594b5f837711f"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga234e904a0075f88654a594b5f837711f"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00151.html#ga234e904a0075f88654a594b5f837711f">tanh</a> (vecType&lt; T, P &gt; const &amp;angle)</td></tr>
<tr class="memdesc:ga234e904a0075f88654a594b5f837711f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)  <a href="a00151.html#ga234e904a0075f88654a594b5f837711f">More...</a><br /></td></tr>
<tr class="separator:ga234e904a0075f88654a594b5f837711f"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>Function parameters specified as angle are assumed to be in units of radians. </p>
<p>In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.</p>
<p>These all operate component-wise. The description is per component. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga58ad259b788528fe0a4bd2eeb5e381cc"></a>
<div class="memitem">
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          <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::acos </td>
          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Arc cosine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| &gt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

</div>
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<a class="anchor" id="ga3f368ad3e1883b60748ca2634d816104"></a>
<div class="memitem">
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        <tr>
          <td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::acosh </td>
          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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<p>Arc hyperbolic cosine; returns the non-negative inverse of cosh. </p>
<p>Results are undefined if x &lt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Arc sine. </p>
<p>Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| &gt; 1.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><td>)</td>
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<p>Arc hyperbolic sine; returns the inverse of sinh. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><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 function is [-PI, PI]. Results are undefined if x and y are both 0.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

<p>Referenced by <a class="el" href="a00017_source.html#l00055">glm::atan2()</a>.</p>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>y_over_x</em></td><td>)</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 function is [-PI/2, PI/2].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>x</em></td><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.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml">GLSL atanh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>angle</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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<p>The standard trigonometric cosine function. </p>
<p>The values returned by this function will range from [-1, 1].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml">GLSL cos man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>angle</em></td><td>)</td>
          <td></td>
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      </table>
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<p>Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml">GLSL cosh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>radians</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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<p>Converts radians to degrees and returns the result. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml">GLSL degrees man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>degrees</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
</div><div class="memdoc">

<p>Converts degrees to radians and returns the result. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml">GLSL radians man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>angle</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
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<p>The standard trigonometric sine function. </p>
<p>The values returned by this function will range from [-1, 1].</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml">GLSL sin man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>angle</em></td><td>)</td>
          <td></td>
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      </table>
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<p>Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml">GLSL sinh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>angle</em></td><td>)</td>
          <td></td>
        </tr>
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<p>The standard trigonometric tangent function. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml">GLSL tan man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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          <td>(</td>
          <td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
          <td class="paramname"><em>angle</em></td><td>)</td>
          <td></td>
        </tr>
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<p>Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">genType</td><td>Floating-point scalar or vector types.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml">GLSL tanh man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a> </dd></dl>

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