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<div id="projectname">GLM
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 <span id="projectnumber">0.9.5</span>
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</div>
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</td>
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<div class="header">
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<div class="summary">
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<a href="#func-members">Functions</a> </div>
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<div class="headertitle">
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<div class="title">Geometric functions<div class="ingroups"><a class="el" href="a00167.html">GLM Core</a></div></div> </div>
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</div><!--header-->
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<div class="contents">
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga89b91c2a256cfb62ecbc589d1ee36d3c"><td class="memTemplParams" colspan="2">template<typename T , precision P> </td></tr>
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<tr class="memitem:ga89b91c2a256cfb62ecbc589d1ee36d3c"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL detail::tvec3< T, P > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga89b91c2a256cfb62ecbc589d1ee36d3c">cross</a> (detail::tvec3< T, P > const &x, detail::tvec3< T, P > const &y)</td></tr>
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<tr class="separator:ga89b91c2a256cfb62ecbc589d1ee36d3c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga00716eae37e8ae2a76ca7799f9c75682"><td class="memTemplParams" colspan="2">template<typename genType > </td></tr>
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<tr class="memitem:ga00716eae37e8ae2a76ca7799f9c75682"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga00716eae37e8ae2a76ca7799f9c75682">distance</a> (genType const &p0, genType const &p1)</td></tr>
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<tr class="separator:ga00716eae37e8ae2a76ca7799f9c75682"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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<tr class="memitem:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga7dada304da2ba7dd3376ab4f178c3f6b">dot</a> (vecType< T, P > const &x, vecType< T, P > const &y)</td></tr>
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<tr class="separator:ga7dada304da2ba7dd3376ab4f178c3f6b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gaef767c2b0678489cb9de7a534137a86d"><td class="memTemplParams" colspan="2">template<typename genType > </td></tr>
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<tr class="memitem:gaef767c2b0678489cb9de7a534137a86d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#gaef767c2b0678489cb9de7a534137a86d">dot</a> (genType const &x, genType const &y)</td></tr>
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<tr class="separator:gaef767c2b0678489cb9de7a534137a86d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga4bbb036ef9527ee9f67384233029ed9b"><td class="memTemplParams" colspan="2">template<typename genType > </td></tr>
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<tr class="memitem:ga4bbb036ef9527ee9f67384233029ed9b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga4bbb036ef9527ee9f67384233029ed9b">faceforward</a> (genType const &N, genType const &I, genType const &Nref)</td></tr>
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<tr class="separator:ga4bbb036ef9527ee9f67384233029ed9b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga03b2831439defb8922832b540b91b8a7"><td class="memTemplParams" colspan="2">template<typename genType > </td></tr>
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<tr class="memitem:ga03b2831439defb8922832b540b91b8a7"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga03b2831439defb8922832b540b91b8a7">length</a> (genType const &x)</td></tr>
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<tr class="separator:ga03b2831439defb8922832b540b91b8a7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga15aa87101457e41663b08a8dcc3357f8"><td class="memTemplParams" colspan="2">template<typename genType > </td></tr>
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<tr class="memitem:ga15aa87101457e41663b08a8dcc3357f8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga15aa87101457e41663b08a8dcc3357f8">normalize</a> (genType const &x)</td></tr>
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<tr class="separator:ga15aa87101457e41663b08a8dcc3357f8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplParams" colspan="2">template<typename genType > </td></tr>
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<tr class="memitem:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL genType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#gab63646fc36b81cf69d3ce123a72f76f2">reflect</a> (genType const &I, genType const &N)</td></tr>
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<tr class="separator:gab63646fc36b81cf69d3ce123a72f76f2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga99d8ddb244b129892babaca9778206d0"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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<tr class="memitem:ga99d8ddb244b129892babaca9778206d0"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType< T, P > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00157.html#ga99d8ddb244b129892babaca9778206d0">refract</a> (vecType< T, P > const &I, vecType< T, P > const &N, T const &eta)</td></tr>
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<tr class="separator:ga99d8ddb244b129892babaca9778206d0"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<p>These operate on vectors as vectors, not component-wise. </p>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="ga89b91c2a256cfb62ecbc589d1ee36d3c"></a>
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<td class="memname">GLM_FUNC_DECL detail::tvec3<T, P> glm::cross </td>
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<td>(</td>
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<td class="paramtype">detail::tvec3< T, P > const & </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">detail::tvec3< T, P > const & </td>
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<td class="paramname"><em>y</em> </td>
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<td></td>
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<p>Returns the cross product of x and y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">valType</td><td>Floating-point scalar types.</td></tr>
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</table>
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</dd>
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</dl>
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<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>
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<dd>
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<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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</div>
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<a class="anchor" id="ga00716eae37e8ae2a76ca7799f9c75682"></a>
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<td class="memname">GLM_FUNC_DECL genType::value_type glm::distance </td>
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<td>(</td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>p0</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>p1</em> </td>
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<td></td>
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<td>)</td>
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<p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</table>
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</dd>
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</dl>
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<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>
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<dd>
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<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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</div>
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<td class="memname">GLM_FUNC_DECL T glm::dot </td>
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<td>(</td>
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<td class="paramtype">vecType< T, P > const & </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">vecType< T, P > const & </td>
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<td class="paramname"><em>y</em> </td>
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<p>Returns the dot product of x and y, i.e., result = x * y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</dd>
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</dl>
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<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>
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<dd>
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<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::dot </td>
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<td>(</td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>x</em>, </td>
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<p>Returns the dot product of x and y, i.e., result = x * y. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</table>
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</dd>
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</dl>
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<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>
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<dd>
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<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::faceforward </td>
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<td>(</td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>N</em>, </td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>Nref</em> </td>
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<td></td>
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<td>)</td>
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<p>If dot(Nref, I) < 0.0, return N, otherwise, return -N. </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</dl>
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<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>
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<dd>
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<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::value_type glm::length </td>
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<td>(</td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns the length of x, i.e., sqrt(x * x). </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</table>
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</dd>
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</dl>
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<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>
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<dd>
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<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>
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<td class="paramtype">genType const & </td>
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<p>Returns a vector in the same direction as x but with length of 1. </p>
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<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>
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<dd>
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<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>
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<td>(</td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>I</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">genType const & </td>
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<td class="paramname"><em>N</em> </td>
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<td>)</td>
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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>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</dd>
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</dl>
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<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>
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<dd>
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<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<T, P> glm::refract </td>
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<td>(</td>
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<td class="paramtype">vecType< T, P > const & </td>
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<td class="paramname"><em>I</em>, </td>
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<td class="paramname"><em>N</em>, </td>
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<td></td>
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<td class="paramtype">T const & </td>
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<td class="paramname"><em>eta</em> </td>
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<td></td>
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<td>)</td>
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</div><div class="memdoc">
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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>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</table>
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</dd>
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</dl>
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<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>
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<dd>
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<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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