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Christophe Riccio
2012-11-18 14:05:52 +01:00
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<title>Matrix functions</title>
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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="a00139.html">GLM Core</a></div></div>
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Functions</h2></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)" -->
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>These operate on vectors as vectors, not component-wise. </p>
<h2 class="groupheader">Function Documentation</h2>
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<p>Return the determinant of a mat2 matrix. </p>
<dl><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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<p>Return the determinant of a mat3 matrix. </p>
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<table class="">
<tr><td class="paramname">valType</td><td>Floating-point scalar types. </td></tr>
</table>
</dd>
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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>
<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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<p>Return the determinant of a mat4 matrix. </p>
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</dd>
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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>
<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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<p>Return the inverse of a mat2 matrix. </p>
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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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<p>Return the inverse of a mat3 matrix. </p>
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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>
<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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<p>Return the inverse of a mat4 matrix. </p>
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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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<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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@@ -268,37 +91,36 @@ Functions</h2></td></tr>
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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>
<dl><dt><b>Template Parameters:</b></dt><dd>
<table class="">
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<p>Returns the cross product of x and y. </p>
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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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<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>
<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">matType glm::outerProduct </td>
<td class="memname">genType::value_type glm::distance </td>
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<td class="paramtype">vecType const &amp;&#160;</td>
<td class="paramname"><em>c</em>, </td>
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<td class="paramname"><em>p0</em>, </td>
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<td class="paramtype">vecType const &amp;&#160;</td>
<td class="paramname"><em>r</em>&#160;</td>
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<td class="paramname"><em>p1</em>&#160;</td>
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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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<tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
<p>Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </p>
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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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>
<dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/distance.xml">GLSL distance man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
<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>
<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">matType::transpose_type glm::transpose </td>
<td class="memname">genType::value_type glm::dot </td>
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<td class="paramtype">matType const &amp;&#160;</td>
<td class="paramtype">genType const &amp;&#160;</td>
<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>
<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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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>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">genType glm::faceforward </td>
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<p>If dot(Nref, I) &lt; 0.0, return N, otherwise, return -N. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</dd>
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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>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">genType::value_type glm::length </td>
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<p>Returns the transposed matrix of x. </p>
<dl><dt><b>Template Parameters:</b></dt><dd>
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<tr><td class="paramname">matType</td><td>Floating-point matrix types. </td></tr>
<p>Returns the length of x, i.e., sqrt(x * x). </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</dd>
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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>
<dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/length.xml">GLSL length man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6 Matrix Functions</a> </dd></dl>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">genType glm::normalize </td>
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<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Returns a vector in the same direction as x but with length of 1. </p>
<dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/normalize.xml">GLSL normalize man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">genType glm::reflect </td>
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<td class="paramtype">genType const &amp;&#160;</td>
<td class="paramname"><em>I</em>, </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>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
</table>
</dd>
</dl>
<dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/reflect.xml">GLSL reflect man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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<td class="memname">genType glm::refract </td>
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<p>For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">genType</td><td>Floating-point vector types.</td></tr>
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</dd>
</dl>
<dl class="section see"><dt>See Also</dt><dd><a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/refract.xml">GLSL refract man page</a> </dd>
<dd>
<a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5 Geometric Functions</a> </dd></dl>
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