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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<a href="#libg3d-matrix.synopsis" class="shortcut">Top</a>
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                  <a href="#libg3d-matrix.description" class="shortcut">Description</a>
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<a name="libg3d-matrix"></a><div class="titlepage"></div>
<div class="refnamediv"><table width="100%"><tr>
<td valign="top">
<h2><span class="refentrytitle"><a name="libg3d-matrix.top_of_page"></a>matrix</span></h2>
<p>matrix — Matrix manipulation and calculation</p>
</td>
<td valign="top" align="right"></td>
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<div class="refsynopsisdiv">
<a name="libg3d-matrix.synopsis"></a><h2>Synopsis</h2>
<pre class="synopsis">
#include &lt;g3d/matrix.h&gt;

typedef             <a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix">G3DMatrix</a>;
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-identity" title="g3d_matrix_identity ()">g3d_matrix_identity</a>                 (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-multiply" title="g3d_matrix_multiply ()">g3d_matrix_multiply</a>                 (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *m1</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *m2</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-translate" title="g3d_matrix_translate ()">g3d_matrix_translate</a>                (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> x</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> y</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> z</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-rotate" title="g3d_matrix_rotate ()">g3d_matrix_rotate</a>                   (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> angle</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> ax</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> ay</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> az</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-rotate-xyz" title="g3d_matrix_rotate_xyz ()">g3d_matrix_rotate_xyz</a>               (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> rx</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> ry</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> rz</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-scale" title="g3d_matrix_scale ()">g3d_matrix_scale</a>                    (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> x</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> y</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> z</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-transpose" title="g3d_matrix_transpose ()">g3d_matrix_transpose</a>                (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);
<a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="returnvalue">G3DFloat</span></a>            <a class="link" href="libg3d-matrix.html#g3d-matrix-determinant" title="g3d_matrix_determinant ()">g3d_matrix_determinant</a>              (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);
<span class="returnvalue">gboolean</span>            <a class="link" href="libg3d-matrix.html#g3d-matrix-dump" title="g3d_matrix_dump ()">g3d_matrix_dump</a>                     (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);
</pre>
</div>
<div class="refsect1">
<a name="libg3d-matrix.description"></a><h2>Description</h2>
<p>
Matrices in libg3d have the following layout:
</p>
<p>
G3DMatrix matrix[16]:
</p>
<p>
matrix[col * 4 + row] = f;
</p>
</div>
<div class="refsect1">
<a name="libg3d-matrix.details"></a><h2>Details</h2>
<div class="refsect2">
<a name="G3DMatrix"></a><h3>G3DMatrix</h3>
<pre class="programlisting">typedef G3DFloat G3DMatrix;
</pre>
<p>
Matrix element type.
</p>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-identity"></a><h3>g3d_matrix_identity ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_identity                 (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);</pre>
<p>
Sets the given matrix to the identity matrix.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>matrix</code></em> :</span></p></td>
<td>4x4 matrix (float[16])</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-multiply"></a><h3>g3d_matrix_multiply ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_multiply                 (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *m1</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *m2</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);</pre>
<p>
Multiplies the matrixes.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>m1</code></em> :</span></p></td>
<td>first matrix</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>m2</code></em> :</span></p></td>
<td>second matrix</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>rm</code></em> :</span></p></td>
<td>resulting matrix</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-translate"></a><h3>g3d_matrix_translate ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_translate                (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> x</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> y</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> z</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);</pre>
<p>
Adds a translation to the the matrix.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>x translation</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>y</code></em> :</span></p></td>
<td>y translation</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>z</code></em> :</span></p></td>
<td>z translation</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>rm</code></em> :</span></p></td>
<td>resulting matrix</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-rotate"></a><h3>g3d_matrix_rotate ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_rotate                   (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> angle</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> ax</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> ay</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> az</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);</pre>
<p>
Adds a rotation to the matrix.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>angle</code></em> :</span></p></td>
<td>rotation angle</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>ax</code></em> :</span></p></td>
<td>x component of rotation axis</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>ay</code></em> :</span></p></td>
<td>y component of rotation axis</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>az</code></em> :</span></p></td>
<td>z component of rotation axis</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>rm</code></em> :</span></p></td>
<td>resulting matrix</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-rotate-xyz"></a><h3>g3d_matrix_rotate_xyz ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_rotate_xyz               (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> rx</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> ry</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> rz</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);</pre>
<p>
Adds a rotation around the 3 coordinate system axes to the matrix.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>rx</code></em> :</span></p></td>
<td>rotation around x axis</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>ry</code></em> :</span></p></td>
<td>rotation around y axis</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>rz</code></em> :</span></p></td>
<td>rotation around z axis</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>rm</code></em> :</span></p></td>
<td>resulting matrix</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-scale"></a><h3>g3d_matrix_scale ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_scale                    (<em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> x</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> y</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="type">G3DFloat</span></a> z</code></em>,
                                                         <em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *rm</code></em>);</pre>
<p>
Adds a scaling to the matrix.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>x</code></em> :</span></p></td>
<td>x factor</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>y</code></em> :</span></p></td>
<td>y factor</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>z</code></em> :</span></p></td>
<td>z factor</td>
</tr>
<tr>
<td><p><span class="term"><em class="parameter"><code>rm</code></em> :</span></p></td>
<td>resulting matrix</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
</tr>
</tbody>
</table></div>
</div>
<hr>
<div class="refsect2">
<a name="g3d-matrix-transpose"></a><h3>g3d_matrix_transpose ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_transpose                (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);</pre>
<p>
Transposes the matrix.
</p>
<div class="variablelist"><table border="0">
<col align="left" valign="top">
<tbody>
<tr>
<td><p><span class="term"><em class="parameter"><code>matrix</code></em> :</span></p></td>
<td>the matrix</td>
</tr>
<tr>
<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE on success, FALSE else</td>
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<a name="g3d-matrix-determinant"></a><h3>g3d_matrix_determinant ()</h3>
<pre class="programlisting"><a class="link" href="libg3d-types.html#G3DFloat" title="G3DFloat"><span class="returnvalue">G3DFloat</span></a>            g3d_matrix_determinant              (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);</pre>
<p>
Calculate the determinant of the matrix (FIXME: not verified).
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<td><p><span class="term"><em class="parameter"><code>matrix</code></em> :</span></p></td>
<td>the matrix</td>
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<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>the determinant.</td>
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<a name="g3d-matrix-dump"></a><h3>g3d_matrix_dump ()</h3>
<pre class="programlisting"><span class="returnvalue">gboolean</span>            g3d_matrix_dump                     (<em class="parameter"><code><a class="link" href="libg3d-matrix.html#G3DMatrix" title="G3DMatrix"><span class="type">G3DMatrix</span></a> *matrix</code></em>);</pre>
<p>
If debugging is enabled, this function dump the matrix to stderr.
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<td><p><span class="term"><em class="parameter"><code>matrix</code></em> :</span></p></td>
<td>the matrix</td>
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<td><p><span class="term"><span class="emphasis"><em>Returns</em></span> :</span></p></td>
<td>TRUE if matrix is dumped, FALSE else</td>
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