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Updated doxygen API doc

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Christophe Riccio
2016-11-13 00:39:32 +01:00
parent 83d14ee411
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<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.10"/>
<title>0.9.8: Exponential functions</title>
<title>0.9.8 API documenation: Geometric functions</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
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<tr style="height: 56px;">
<td id="projectlogo"><img alt="Logo" src="logo.png"/></td>
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">0.9.8
<div id="projectname">0.9.8 API documenation
</div>
</td>
</tr>
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<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">Exponential functions<div class="ingroups"><a class="el" href="a00156.html">GLM Core</a></div></div> </div>
<div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00155.html">GLM Core</a></div></div> </div>
</div><!--header-->
<div class="contents">
<p>These operate on vectors as vectors, not component-wise.
<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:ga25e54a7f44fc49ec6ac6ffc7675cf04a"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga25e54a7f44fc49ec6ac6ffc7675cf04a"><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="a00147.html#ga25e54a7f44fc49ec6ac6ffc7675cf04a">exp</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
<tr class="separator:ga25e54a7f44fc49ec6ac6ffc7675cf04a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga42ca440d9062f1f456f5a9e896378f9c"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga42ca440d9062f1f456f5a9e896378f9c"><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="a00147.html#ga42ca440d9062f1f456f5a9e896378f9c">exp2</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
<tr class="separator:ga42ca440d9062f1f456f5a9e896378f9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga599103d4fe4ef2234761ba8da7268627"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga599103d4fe4ef2234761ba8da7268627"><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="a00147.html#ga599103d4fe4ef2234761ba8da7268627">inversesqrt</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
<tr class="separator:ga599103d4fe4ef2234761ba8da7268627"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga21efca311e62d233de0ae96bab126b83"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga21efca311e62d233de0ae96bab126b83"><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="a00147.html#ga21efca311e62d233de0ae96bab126b83">log</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
<tr class="separator:ga21efca311e62d233de0ae96bab126b83"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gabae30945338a555a03733f00dad95d0d"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gabae30945338a555a03733f00dad95d0d"><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="a00147.html#gabae30945338a555a03733f00dad95d0d">log2</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
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<tr class="memitem:ga082b332a4b7c6ad1d43e09ff19e214dd"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga082b332a4b7c6ad1d43e09ff19e214dd"><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="a00147.html#ga082b332a4b7c6ad1d43e09ff19e214dd">pow</a> (vecType&lt; T, P &gt; const &amp;base, vecType&lt; T, P &gt; const &amp;exponent)</td></tr>
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<tr class="memitem:gae7ac2e44c14d4e8004098d0bfba6e2b8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gae7ac2e44c14d4e8004098d0bfba6e2b8"><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="a00147.html#gae7ac2e44c14d4e8004098d0bfba6e2b8">sqrt</a> (vecType&lt; T, P &gt; const &amp;v)</td></tr>
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<tr class="memitem:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P&gt; </td></tr>
<tr class="memitem:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3&lt; T, P &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00147.html#gafe2cae8cb26fd44be62aee97369d0af8">cross</a> (tvec3&lt; T, P &gt; const &amp;x, tvec3&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:gafe2cae8cb26fd44be62aee97369d0af8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the cross product of x and y. <a href="a00147.html#gafe2cae8cb26fd44be62aee97369d0af8">More...</a><br /></td></tr>
<tr class="separator:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00147.html#ga7ca317dde0d7e94d920153554d4a02a8">distance</a> (vecType&lt; T, P &gt; const &amp;p0, vecType&lt; T, P &gt; const &amp;p1)</td></tr>
<tr class="memdesc:ga7ca317dde0d7e94d920153554d4a02a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). <a href="a00147.html#ga7ca317dde0d7e94d920153554d4a02a8">More...</a><br /></td></tr>
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<tr class="memitem:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00147.html#ga7dada304da2ba7dd3376ab4f178c3f6b">dot</a> (vecType&lt; T, P &gt; const &amp;x, vecType&lt; T, P &gt; const &amp;y)</td></tr>
<tr class="memdesc:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of x and y, i.e., result = x * y. <a href="a00147.html#ga7dada304da2ba7dd3376ab4f178c3f6b">More...</a><br /></td></tr>
<tr class="separator:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaea854e5aec1b5839832ac2dfc7cd3c0d"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gaea854e5aec1b5839832ac2dfc7cd3c0d"><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="a00147.html#gaea854e5aec1b5839832ac2dfc7cd3c0d">faceforward</a> (vecType&lt; T, P &gt; const &amp;N, vecType&lt; T, P &gt; const &amp;I, vecType&lt; T, P &gt; const &amp;Nref)</td></tr>
<tr class="memdesc:gaea854e5aec1b5839832ac2dfc7cd3c0d"><td class="mdescLeft">&#160;</td><td class="mdescRight">If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. <a href="a00147.html#gaea854e5aec1b5839832ac2dfc7cd3c0d">More...</a><br /></td></tr>
<tr class="separator:gaea854e5aec1b5839832ac2dfc7cd3c0d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00147.html#ga18d45e3d4c7705e67ccfabd99e521604">length</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:ga18d45e3d4c7705e67ccfabd99e521604"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of x, i.e., sqrt(x * x). <a href="a00147.html#ga18d45e3d4c7705e67ccfabd99e521604">More...</a><br /></td></tr>
<tr class="separator:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><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="a00147.html#gada9451ec170a36fe53552812b9c03a68">normalize</a> (vecType&lt; T, P &gt; const &amp;x)</td></tr>
<tr class="memdesc:gada9451ec170a36fe53552812b9c03a68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a vector in the same direction as x but with length of 1. <a href="a00147.html#gada9451ec170a36fe53552812b9c03a68">More...</a><br /></td></tr>
<tr class="separator:gada9451ec170a36fe53552812b9c03a68"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplParams" colspan="2">template&lt;typename genType &gt; </td></tr>
<tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00147.html#gab63646fc36b81cf69d3ce123a72f76f2">reflect</a> (genType const &amp;I, genType const &amp;N)</td></tr>
<tr class="memdesc:gab63646fc36b81cf69d3ce123a72f76f2"><td class="mdescLeft">&#160;</td><td class="mdescRight">For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. <a href="a00147.html#gab63646fc36b81cf69d3ce123a72f76f2">More...</a><br /></td></tr>
<tr class="separator:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplParams" colspan="2">template&lt;typename T , precision P, template&lt; typename, precision &gt; class vecType&gt; </td></tr>
<tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><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="a00147.html#gab7e7cdf4403931a5f7b74560ad64159b">refract</a> (vecType&lt; T, P &gt; const &amp;I, vecType&lt; T, P &gt; const &amp;N, T eta)</td></tr>
<tr class="memdesc:gab7e7cdf4403931a5f7b74560ad64159b"><td class="mdescLeft">&#160;</td><td class="mdescRight">For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. <a href="a00147.html#gab7e7cdf4403931a5f7b74560ad64159b">More...</a><br /></td></tr>
<tr class="separator:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>These all operate component-wise. </p>
<p>The description is per component. </p>
<p>These operate on vectors as vectors, not component-wise. </p>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga25e54a7f44fc49ec6ac6ffc7675cf04a"></a>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::exp </td>
<td class="memname">GLM_FUNC_DECL tvec3&lt;T, P&gt; glm::cross </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns the natural exponentiation of x, i.e., e^x. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>exp function is defined for input values of v defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<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/exp.xml">GLSL exp man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
</div>
</div>
<a class="anchor" id="ga42ca440d9062f1f456f5a9e896378f9c"></a>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::exp2 </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns 2 raised to the v power. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>exp2 function is defined for input values of v defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<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/exp2.xml">GLSL exp2 man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
</div>
</div>
<a class="anchor" id="ga599103d4fe4ef2234761ba8da7268627"></a>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::inversesqrt </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns the reciprocal of the positive square root of v. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>inversesqrt function is defined for input values of v defined in the range [0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<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/inversesqrt.xml">GLSL inversesqrt man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
</div>
</div>
<a class="anchor" id="ga21efca311e62d233de0ae96bab126b83"></a>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::log </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns the natural logarithm of v, i.e., returns the value y which satisfies the equation x = e^y. </p>
<p>Results are undefined if v &lt;= 0.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>log function is defined for input values of v defined in the range (0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<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/log.xml">GLSL log man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
</div>
</div>
<a class="anchor" id="gabae30945338a555a03733f00dad95d0d"></a>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::log2 </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns the base 2 log of x, i.e., returns the value y, which satisfies the equation x = 2 ^ y. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>log2 function is defined for input values of v defined in the range (0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<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/log2.xml">GLSL log2 man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::pow </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>base</em>, </td>
<td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>exponent</em>&#160;</td>
<td class="paramtype">tvec3&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<p>Returns 'base' raised to the power 'exponent'. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">base</td><td>Floating point value. pow function is defined for input values of 'base' defined in the range (inf-, inf+) in the limit of the type precision. </td></tr>
<tr><td class="paramname">exponent</td><td>Floating point value representing the 'exponent'. </td></tr>
</table>
</dd>
</dl>
<p>Returns the cross product of x and y. </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>
<tr><td class="paramname">valType</td><td>Floating-point scalar 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/pow.xml">GLSL pow man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cross.xml">GLSL cross man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::sqrt </td>
<td class="memname">GLM_FUNC_DECL T glm::distance </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td class="paramname"><em>p0</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>p1</em>&#160;</td>
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<p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/distance.xml">GLSL distance man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::dot </td>
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<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<p>Returns the dot product of x and y, i.e., result = x * y. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/dot.xml">GLSL dot man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::faceforward </td>
<td>(</td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>N</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>I</em>, </td>
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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>Nref</em>&#160;</td>
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<p>If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/faceforward.xml">GLSL faceforward man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL T glm::length </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the positive square root of v. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>sqrt function is defined for input values of v defined in the range [0, inf+) in the limit of the type precision. </td></tr>
</table>
</dd>
</dl>
<p>Returns the length of x, i.e., sqrt(x * x). </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>
<tr><td class="paramname">genType</td><td>Floating-point 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/sqrt.xml">GLSL sqrt man page</a> </dd>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/length.xml">GLSL length man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL vecType&lt;T, P&gt; glm::normalize </td>
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<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>Returns a vector in the same direction as x but with length of 1. </p>
<p>According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.</p>
<dl class="section see"><dt>See also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/normalize.xml">GLSL normalize man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">GLM_FUNC_DECL genType glm::reflect </td>
<td>(</td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>I</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>N</em>&#160;</td>
</tr>
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<p>For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/reflect.xml">GLSL reflect man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric 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>I</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vecType&lt; T, P &gt; const &amp;&#160;</td>
<td class="paramname"><em>N</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T&#160;</td>
<td class="paramname"><em>eta</em>&#160;</td>
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<p>For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point 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/refract.xml">GLSL refract man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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