365 lines
		
	
	
		
			16 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
			
		
		
	
	
			365 lines
		
	
	
		
			16 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>Matrix functions</title>
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| <!-- Generated by Doxygen 1.7.5.1 -->
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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">Matrix functions</div>  </div>
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| <div class="ingroups"><a class="el" href="a00139.html">GLM Core</a></div></div>
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| <div class="contents">
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| <table class="memberdecls">
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| <tr><td colspan="2"><h2><a name="func-members"></a>
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| Functions</h2></td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2< valType ><br class="typebreak"/>
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| ::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gad3bfb2098e1572d2131a261c1fb76dd4">determinant</a> (detail::tmat2x2< valType > const &m)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3< valType ><br class="typebreak"/>
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| ::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga2f26bb474e077cf03b9db23f813e8450">determinant</a> (detail::tmat3x3< valType > const &m)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4< valType ><br class="typebreak"/>
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| ::value_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga1daa306eecf6e8b379626d761b8c222f">determinant</a> (detail::tmat4x4< valType > const &m)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gada3384a86cf38a1fd96275194b8ba8c0">inverse</a> (detail::tmat2x2< valType > const &m)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga1a455651f7ba323ade0cd9191542b179">inverse</a> (detail::tmat3x3< valType > const &m)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename valType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4< valType > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gabc94b29dea14e111e48bc963c47559b2">inverse</a> (detail::tmat4x4< valType > const &m)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename matType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">matType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga0e48491a51b3f366d671c01894705605">matrixCompMult</a> (matType const &x, matType const &y)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename vecType , typename matType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">matType </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#ga5d896e8651512fc098a677dbe403eeac">outerProduct</a> (vecType const &c, vecType const &r)</td></tr>
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| <tr><td class="memTemplParams" colspan="2">template<typename matType > </td></tr>
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| <tr><td class="memTemplItemLeft" align="right" valign="top">matType::transpose_type </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00131.html#gac58a4106a57fb7da41b3aeae3832998b">transpose</a> (matType const &x)</td></tr>
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| </table>
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| <hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
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| <p>For each of the following built-in matrix functions, there is both a single-precision floating point version, where all arguments and return values are single precision, and a double-precision floating version, where all arguments and return values are double precision. </p>
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| <p>Only the single-precision floating point version is shown. </p>
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| <hr/><h2>Function Documentation</h2>
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| <a class="anchor" id="gad3bfb2098e1572d2131a261c1fb76dd4"></a><!-- doxytag: member="glm::determinant" ref="gad3bfb2098e1572d2131a261c1fb76dd4" args="(detail::tmat2x2< valType > const &m)" -->
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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">detail::tmat2x2<valType>::value_type glm::determinant </td>
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|           <td>(</td>
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|           <td class="paramtype">detail::tmat2x2< valType > const & </td>
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|           <td class="paramname"><em>m</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>
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| <div class="memdoc">
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| 
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| <p>Return the determinant of a mat2 matrix. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant 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 8.6 Matrix 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="ga2f26bb474e077cf03b9db23f813e8450"></a><!-- doxytag: member="glm::determinant" ref="ga2f26bb474e077cf03b9db23f813e8450" args="(detail::tmat3x3< valType > const &m)" -->
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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">detail::tmat3x3<valType>::value_type glm::determinant </td>
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|           <td>(</td>
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|           <td class="paramtype">detail::tmat3x3< valType > const & </td>
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|           <td class="paramname"><em>m</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>
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| <div class="memdoc">
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| 
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| <p>Return the determinant of a mat3 matrix. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant 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 8.6 Matrix 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="ga1daa306eecf6e8b379626d761b8c222f"></a><!-- doxytag: member="glm::determinant" ref="ga1daa306eecf6e8b379626d761b8c222f" args="(detail::tmat4x4< valType > const &m)" -->
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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">detail::tmat4x4<valType>::value_type glm::determinant </td>
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|           <td>(</td>
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|           <td class="paramtype">detail::tmat4x4< valType > const & </td>
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|           <td class="paramname"><em>m</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>
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| <div class="memdoc">
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| 
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| <p>Return the determinant of a mat4 matrix. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant 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 8.6 Matrix 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="gada3384a86cf38a1fd96275194b8ba8c0"></a><!-- doxytag: member="glm::inverse" ref="gada3384a86cf38a1fd96275194b8ba8c0" args="(detail::tmat2x2< valType > const &m)" -->
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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">detail::tmat2x2<valType> glm::inverse </td>
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|           <td>(</td>
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|           <td class="paramtype">detail::tmat2x2< valType > const & </td>
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|           <td class="paramname"><em>m</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>
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| <div class="memdoc">
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| 
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| <p>Return the inverse of a mat2 matrix. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse 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 8.6 Matrix 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="ga1a455651f7ba323ade0cd9191542b179"></a><!-- doxytag: member="glm::inverse" ref="ga1a455651f7ba323ade0cd9191542b179" args="(detail::tmat3x3< valType > const &m)" -->
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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">detail::tmat3x3<valType> glm::inverse </td>
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|           <td>(</td>
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|           <td class="paramtype">detail::tmat3x3< valType > const & </td>
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|           <td class="paramname"><em>m</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>
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| <div class="memdoc">
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| 
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| <p>Return the inverse of a mat3 matrix. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse 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 8.6 Matrix 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="gabc94b29dea14e111e48bc963c47559b2"></a><!-- doxytag: member="glm::inverse" ref="gabc94b29dea14e111e48bc963c47559b2" args="(detail::tmat4x4< valType > const &m)" -->
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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">detail::tmat4x4<valType> glm::inverse </td>
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|           <td>(</td>
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|           <td class="paramtype">detail::tmat4x4< valType > const & </td>
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|           <td class="paramname"><em>m</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>
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| <div class="memdoc">
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| 
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| <p>Return the inverse of a mat4 matrix. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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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="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse 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 8.6 Matrix 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="ga0e48491a51b3f366d671c01894705605"></a><!-- doxytag: member="glm::matrixCompMult" ref="ga0e48491a51b3f366d671c01894705605" args="(matType const &x, matType const &y)" -->
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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">matType glm::matrixCompMult </td>
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|           <td>(</td>
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|           <td class="paramtype">matType 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">matType 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>
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| <div class="memdoc">
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| 
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| <p>Multiply matrix x by matrix y component-wise, i.e., result[i][j] is the scalar product of x[i][j] and y[i][j]. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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|     <tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
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|   </table>
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|   </dd>
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| </dl>
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| <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/matrixCompMult.xml">GLSL matrixCompMult 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 8.6 Matrix 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="ga5d896e8651512fc098a677dbe403eeac"></a><!-- doxytag: member="glm::outerProduct" ref="ga5d896e8651512fc098a677dbe403eeac" args="(vecType const &c, vecType const &r)" -->
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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">matType glm::outerProduct </td>
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|           <td>(</td>
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|           <td class="paramtype">vecType const & </td>
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|           <td class="paramname"><em>c</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 const & </td>
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|           <td class="paramname"><em>r</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>
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| <div class="memdoc">
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| 
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| <p>Treats the first parameter c as a column vector and the second parameter r as a row vector and does a linear algebraic matrix multiply c * r. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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|     <tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
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|   </table>
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|   </dd>
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| </dl>
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| <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/outerProduct.xml">GLSL outerProduct 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 8.6 Matrix Functions</a> </dd></dl>
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| <dl class="todo"><dt><b><a class="el" href="a00215.html#_todo000006">Todo:</a></b></dt><dd>Clarify the declaration to specify that matType doesn't have to be provided when used.</dd></dl>
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| 
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| </div>
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| </div>
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| <a class="anchor" id="gac58a4106a57fb7da41b3aeae3832998b"></a><!-- doxytag: member="glm::transpose" ref="gac58a4106a57fb7da41b3aeae3832998b" args="(matType const &x)" -->
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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">matType::transpose_type glm::transpose </td>
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|           <td>(</td>
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|           <td class="paramtype">matType 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>
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| <div class="memdoc">
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| 
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| <p>Returns the transposed matrix of x. </p>
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| <dl><dt><b>Template Parameters:</b></dt><dd>
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|   <table class="">
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|     <tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
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|   </table>
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|   </dd>
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| </dl>
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| <dl class="see"><dt><b>See also:</b></dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/transpose.xml">GLSL transpose 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 8.6 Matrix Functions</a> </dd></dl>
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| 
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| 
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