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			368 lines
		
	
	
		
			17 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
| <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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| <title>0.9.8: Geometric functions</title>
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|   <td id="projectlogo"><img alt="Logo" src="logo.png"/></td>
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|   <td id="projectalign" style="padding-left: 0.5em;">
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|    <div id="projectname">0.9.8
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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="a00156.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:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memTemplParams" colspan="2">template<typename T , precision P> </td></tr>
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| <tr class="memitem:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL tvec3< T, P > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gafe2cae8cb26fd44be62aee97369d0af8">cross</a> (tvec3< T, P > const &x, tvec3< T, P > const &y)</td></tr>
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| <tr class="separator:gafe2cae8cb26fd44be62aee97369d0af8"><td class="memSeparator" colspan="2"> </td></tr>
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| <tr class="memitem:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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| <tr class="memitem:ga7ca317dde0d7e94d920153554d4a02a8"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#ga7ca317dde0d7e94d920153554d4a02a8">distance</a> (vecType< T, P > const &p0, vecType< T, P > const &p1)</td></tr>
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| <tr class="separator:ga7ca317dde0d7e94d920153554d4a02a8"><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="a00148.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:gaea854e5aec1b5839832ac2dfc7cd3c0d"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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| <tr class="memitem:gaea854e5aec1b5839832ac2dfc7cd3c0d"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType< T, P > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gaea854e5aec1b5839832ac2dfc7cd3c0d">faceforward</a> (vecType< T, P > const &N, vecType< T, P > const &I, vecType< T, P > const &Nref)</td></tr>
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| <tr class="separator:gaea854e5aec1b5839832ac2dfc7cd3c0d"><td class="memSeparator" colspan="2"> </td></tr>
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| <tr class="memitem:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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| <tr class="memitem:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#ga18d45e3d4c7705e67ccfabd99e521604">length</a> (vecType< T, P > const &x)</td></tr>
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| <tr class="separator:ga18d45e3d4c7705e67ccfabd99e521604"><td class="memSeparator" colspan="2"> </td></tr>
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| <tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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| <tr class="memitem:gada9451ec170a36fe53552812b9c03a68"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType< T, P > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gada9451ec170a36fe53552812b9c03a68">normalize</a> (vecType< T, P > const &x)</td></tr>
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| <tr class="separator:gada9451ec170a36fe53552812b9c03a68"><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="a00148.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:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplParams" colspan="2">template<typename T , precision P, template< typename, precision > class vecType> </td></tr>
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| <tr class="memitem:gab7e7cdf4403931a5f7b74560ad64159b"><td class="memTemplItemLeft" align="right" valign="top">GLM_FUNC_DECL vecType< T, P > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00148.html#gab7e7cdf4403931a5f7b74560ad64159b">refract</a> (vecType< T, P > const &I, vecType< T, P > const &N, T eta)</td></tr>
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| <tr class="separator:gab7e7cdf4403931a5f7b74560ad64159b"><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="gafe2cae8cb26fd44be62aee97369d0af8"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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|           <td class="memname">GLM_FUNC_DECL tvec3<T, P> glm::cross </td>
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|           <td>(</td>
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|           <td class="paramtype">tvec3< T, P > const & </td>
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|           <td class="paramname"><em>x</em>, </td>
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|         </tr>
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|         <tr>
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|           <td class="paramkey"></td>
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|           <td></td>
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|           <td class="paramtype">tvec3< T, P > const & </td>
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|           <td class="paramname"><em>y</em> </td>
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|         </tr>
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|         <tr>
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|           <td></td>
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|           <td>)</td>
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|           <td></td><td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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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| 
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| </div>
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| </div>
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| <a class="anchor" id="ga7ca317dde0d7e94d920153554d4a02a8"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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|           <td class="memname">GLM_FUNC_DECL T glm::distance </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>p0</em>, </td>
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|         </tr>
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|         <tr>
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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>p1</em> </td>
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|         </tr>
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|         <tr>
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|           <td></td>
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|           <td>)</td>
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|           <td></td><td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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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| 
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| </div>
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| </div>
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| <a class="anchor" id="ga7dada304da2ba7dd3376ab4f178c3f6b"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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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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|         </tr>
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|         <tr>
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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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|         </tr>
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|         <tr>
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|           <td></td>
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|           <td>)</td>
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|           <td></td><td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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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| 
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| </div>
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| </div>
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| <a class="anchor" id="gaea854e5aec1b5839832ac2dfc7cd3c0d"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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|           <td class="memname">GLM_FUNC_DECL vecType<T, P> glm::faceforward </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>N</em>, </td>
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|         </tr>
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|         <tr>
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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>I</em>, </td>
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|         </tr>
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|         <tr>
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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>Nref</em> </td>
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|         </tr>
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|         <tr>
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|           <td></td>
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|           <td>)</td>
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|           <td></td><td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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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|   </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/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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| 
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| </div>
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| </div>
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| <a class="anchor" id="ga18d45e3d4c7705e67ccfabd99e521604"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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|           <td class="memname">GLM_FUNC_DECL T glm::length </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><td>)</td>
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|           <td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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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| 
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| </div>
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| </div>
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| <a class="anchor" id="gada9451ec170a36fe53552812b9c03a68"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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|           <td class="memname">GLM_FUNC_DECL vecType<T, P> glm::normalize </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><td>)</td>
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|           <td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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| <p>Returns a vector in the same direction as x but with length of 1. </p>
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| <p>According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.</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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| 
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| </div>
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| </div>
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| <a class="anchor" id="gab63646fc36b81cf69d3ce123a72f76f2"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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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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|         </tr>
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|         <tr>
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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>N</em> </td>
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|         </tr>
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|         <tr>
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|           <td></td>
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|           <td>)</td>
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|           <td></td><td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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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|   </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/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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| 
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| </div>
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| </div>
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| <a class="anchor" id="gab7e7cdf4403931a5f7b74560ad64159b"></a>
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| <div class="memitem">
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| <div class="memproto">
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|       <table class="memname">
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|         <tr>
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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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|         </tr>
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|         <tr>
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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>N</em>, </td>
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|         </tr>
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|         <tr>
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|           <td class="paramkey"></td>
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|           <td></td>
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|           <td class="paramtype">T </td>
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|           <td class="paramname"><em>eta</em> </td>
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|         </tr>
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|         <tr>
 | |
|           <td></td>
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|           <td>)</td>
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|           <td></td><td></td>
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|         </tr>
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|       </table>
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| </div><div class="memdoc">
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| 
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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>
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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>
 | |
| <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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| 
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