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<a href="#func-members">Functions</a> </div>
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<div class="title">Matrix functions</div> </div>
<div class="ingroups"><a class="el" href="a00137.html">GLM Core</a></div></div><!--header-->
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<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2&lt; valType &gt;<br class="typebreak"/>
::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#gad3bfb2098e1572d2131a261c1fb76dd4">determinant</a> (detail::tmat2x2&lt; valType &gt; const &amp;m)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;<br class="typebreak"/>
::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#ga2f26bb474e077cf03b9db23f813e8450">determinant</a> (detail::tmat3x3&lt; valType &gt; const &amp;m)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;<br class="typebreak"/>
::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#ga1daa306eecf6e8b379626d761b8c222f">determinant</a> (detail::tmat4x4&lt; valType &gt; const &amp;m)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat2x2&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#gada3384a86cf38a1fd96275194b8ba8c0">inverse</a> (detail::tmat2x2&lt; valType &gt; const &amp;m)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat3x3&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#ga1a455651f7ba323ade0cd9191542b179">inverse</a> (detail::tmat3x3&lt; valType &gt; const &amp;m)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename valType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">detail::tmat4x4&lt; valType &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#gabc94b29dea14e111e48bc963c47559b2">inverse</a> (detail::tmat4x4&lt; valType &gt; const &amp;m)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename matType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">matType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#ga0e48491a51b3f366d671c01894705605">matrixCompMult</a> (matType const &amp;x, matType const &amp;y)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename vecType , typename matType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">matType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#ga5d896e8651512fc098a677dbe403eeac">outerProduct</a> (vecType const &amp;c, vecType const &amp;r)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename matType &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">matType::transpose_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00129.html#gac58a4106a57fb7da41b3aeae3832998b">transpose</a> (matType const &amp;x)</td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<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>
<p>Only the single-precision floating point version is shown. </p>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="gad3bfb2098e1572d2131a261c1fb76dd4"></a><!-- doxytag: member="glm::determinant" ref="gad3bfb2098e1572d2131a261c1fb76dd4" args="(detail::tmat2x2&lt; valType &gt; const &amp;m)" -->
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<p>Return the determinant of a mat2 matrix. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
</dl>
<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>
<dd>
<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>
</div>
</div>
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<p>Return the determinant of a mat3 matrix. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
</dl>
<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>
<dd>
<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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</div>
<a class="anchor" id="ga1daa306eecf6e8b379626d761b8c222f"></a><!-- doxytag: member="glm::determinant" ref="ga1daa306eecf6e8b379626d761b8c222f" args="(detail::tmat4x4&lt; valType &gt; const &amp;m)" -->
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<td class="paramname"><em>m</em></td><td>)</td>
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<p>Return the determinant of a mat4 matrix. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
</dl>
<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>
<dd>
<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>
</div>
</div>
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<div class="memdoc">
<p>Return the inverse of a mat2 matrix. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
</dl>
<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>
<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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</div>
<a class="anchor" id="ga1a455651f7ba323ade0cd9191542b179"></a><!-- doxytag: member="glm::inverse" ref="ga1a455651f7ba323ade0cd9191542b179" args="(detail::tmat3x3&lt; valType &gt; const &amp;m)" -->
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<td class="memname">detail::tmat3x3&lt;valType&gt; glm::inverse </td>
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<td class="paramname"><em>m</em></td><td>)</td>
<td></td>
</tr>
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<div class="memdoc">
<p>Return the inverse of a mat3 matrix. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
</dl>
<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>
<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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<a class="anchor" id="gabc94b29dea14e111e48bc963c47559b2"></a><!-- doxytag: member="glm::inverse" ref="gabc94b29dea14e111e48bc963c47559b2" args="(detail::tmat4x4&lt; valType &gt; const &amp;m)" -->
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<td class="paramname"><em>m</em></td><td>)</td>
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<p>Return the inverse of a mat4 matrix. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
</dl>
<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>
<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>
</div>
</div>
<a class="anchor" id="ga0e48491a51b3f366d671c01894705605"></a><!-- doxytag: member="glm::matrixCompMult" ref="ga0e48491a51b3f366d671c01894705605" args="(matType const &amp;x, matType const &amp;y)" -->
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<td class="memname">matType glm::matrixCompMult </td>
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<td class="paramtype">matType const &amp;&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<div class="memdoc">
<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>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
</table>
</dd>
</dl>
<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>
<dd>
<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>
</div>
</div>
<a class="anchor" id="ga5d896e8651512fc098a677dbe403eeac"></a><!-- doxytag: member="glm::outerProduct" ref="ga5d896e8651512fc098a677dbe403eeac" args="(vecType const &amp;c, vecType const &amp;r)" -->
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<td class="memname">matType glm::outerProduct </td>
<td>(</td>
<td class="paramtype">vecType const &amp;&#160;</td>
<td class="paramname"><em>c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">vecType const &amp;&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div>
<div class="memdoc">
<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>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
</table>
</dd>
</dl>
<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>
<dd>
<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>
<dl class="todo"><dt><b><a class="el" href="a00213.html#_todo000006">Todo:</a></b></dt><dd>Clarify the declaration to specify that matType doesn't have to be provided when used.</dd></dl>
</div>
</div>
<a class="anchor" id="gac58a4106a57fb7da41b3aeae3832998b"></a><!-- doxytag: member="glm::transpose" ref="gac58a4106a57fb7da41b3aeae3832998b" args="(matType const &amp;x)" -->
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<td class="memname">matType::transpose_type glm::transpose </td>
<td>(</td>
<td class="paramtype">matType const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Returns the transposed matrix of x. </p>
<dl class=""><dt><b>Template Parameters:</b></dt><dd>
<table class="">
<tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
</table>
</dd>
</dl>
<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>
<dd>
<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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