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authorsanine <sanine.not@pm.me>2023-02-12 23:53:22 -0600
committersanine <sanine.not@pm.me>2023-02-12 23:53:22 -0600
commitf1fe73d1909a2448a004a88362a1a532d0d4f7c3 (patch)
treeab37ae3837e2f858de2932bcee9f26e69fab3db1 /libs/cairo-1.16.0/doc/public/html/cairo-cairo-matrix-t.html
parentf567ea1e2798fd3156a416e61f083ea3e6b95719 (diff)
switch to tinyobj and nanovg from assimp and cairo
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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-<div class="refentry">
-<a name="cairo-cairo-matrix-t"></a><div class="titlepage"></div>
-<div class="refnamediv"><table width="100%"><tr>
-<td valign="top">
-<h2><span class="refentrytitle"><a name="cairo-cairo-matrix-t.top_of_page"></a>cairo_matrix_t</span></h2>
-<p>cairo_matrix_t — Generic matrix operations</p>
-</td>
-<td class="gallery_image" valign="top" align="right"></td>
-</tr></table></div>
-<div class="refsect1">
-<a name="cairo-cairo-matrix-t.functions"></a><h2>Functions</h2>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="functions_return">
-<col class="functions_name">
-</colgroup>
-<tbody>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-init" title="cairo_matrix_init ()">cairo_matrix_init</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-init-identity" title="cairo_matrix_init_identity ()">cairo_matrix_init_identity</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-init-translate" title="cairo_matrix_init_translate ()">cairo_matrix_init_translate</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-init-scale" title="cairo_matrix_init_scale ()">cairo_matrix_init_scale</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-init-rotate" title="cairo_matrix_init_rotate ()">cairo_matrix_init_rotate</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-translate" title="cairo_matrix_translate ()">cairo_matrix_translate</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-scale" title="cairo_matrix_scale ()">cairo_matrix_scale</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-rotate" title="cairo_matrix_rotate ()">cairo_matrix_rotate</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<a class="link" href="cairo-Error-handling.html#cairo-status-t" title="enum cairo_status_t"><span class="returnvalue">cairo_status_t</span></a>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-invert" title="cairo_matrix_invert ()">cairo_matrix_invert</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-multiply" title="cairo_matrix_multiply ()">cairo_matrix_multiply</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-transform-distance" title="cairo_matrix_transform_distance ()">cairo_matrix_transform_distance</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-<tr>
-<td class="function_type">
-<span class="returnvalue">void</span>
-</td>
-<td class="function_name">
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-transform-point" title="cairo_matrix_transform_point ()">cairo_matrix_transform_point</a> <span class="c_punctuation">()</span>
-</td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<div class="refsect1">
-<a name="cairo-cairo-matrix-t.other"></a><h2>Types and Values</h2>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="name">
-<col class="description">
-</colgroup>
-<tbody><tr>
-<td class="datatype_keyword"> </td>
-<td class="function_name"><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t">cairo_matrix_t</a></td>
-</tr></tbody>
-</table></div>
-</div>
-<div class="refsect1">
-<a name="cairo-cairo-matrix-t.description"></a><h2>Description</h2>
-<p><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> is used throughout cairo to convert between different
-coordinate spaces. A <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> holds an affine transformation,
-such as a scale, rotation, shear, or a combination of these.
-The transformation of a point (<code class="literal">x</code>,<code class="literal">y</code>)
-is given by:</p>
-<pre class="programlisting">
-x_new = xx * x + xy * y + x0;
-y_new = yx * x + yy * y + y0;
-</pre>
-<p>The current transformation matrix of a <a class="link" href="cairo-cairo-t.html#cairo-t" title="cairo_t"><span class="type">cairo_t</span></a>, represented as a
-<a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a>, defines the transformation from user-space
-coordinates to device-space coordinates. See <a class="link" href="cairo-Transformations.html#cairo-get-matrix" title="cairo_get_matrix ()"><code class="function">cairo_get_matrix()</code></a> and
-<a class="link" href="cairo-Transformations.html#cairo-set-matrix" title="cairo_set_matrix ()"><code class="function">cairo_set_matrix()</code></a>.</p>
-</div>
-<div class="refsect1">
-<a name="cairo-cairo-matrix-t.functions_details"></a><h2>Functions</h2>
-<div class="refsect2">
-<a name="cairo-matrix-init"></a><h3>cairo_matrix_init ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_init (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> xx</code></em>,
- <em class="parameter"><code><span class="type">double</span> yx</code></em>,
- <em class="parameter"><code><span class="type">double</span> xy</code></em>,
- <em class="parameter"><code><span class="type">double</span> yy</code></em>,
- <em class="parameter"><code><span class="type">double</span> x0</code></em>,
- <em class="parameter"><code><span class="type">double</span> y0</code></em>);</pre>
-<p>Sets <em class="parameter"><code>matrix</code></em>
- to be the affine transformation given by
-<em class="parameter"><code>xx</code></em>
-, <em class="parameter"><code>yx</code></em>
-, <em class="parameter"><code>xy</code></em>
-, <em class="parameter"><code>yy</code></em>
-, <em class="parameter"><code>x0</code></em>
-, <em class="parameter"><code>y0</code></em>
-. The transformation is given
-by:</p>
-<pre class="programlisting">
- x_new = xx * x + xy * y + x0;
- y_new = yx * x + yy * y + y0;
-</pre>
-<div class="refsect3">
-<a name="cairo-matrix-init.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>xx</p></td>
-<td class="parameter_description"><p>xx component of the affine transformation</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>yx</p></td>
-<td class="parameter_description"><p>yx component of the affine transformation</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>xy</p></td>
-<td class="parameter_description"><p>xy component of the affine transformation</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>yy</p></td>
-<td class="parameter_description"><p>yy component of the affine transformation</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>x0</p></td>
-<td class="parameter_description"><p>X translation component of the affine transformation</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>y0</p></td>
-<td class="parameter_description"><p>Y translation component of the affine transformation</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-init-identity"></a><h3>cairo_matrix_init_identity ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_init_identity (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>);</pre>
-<p>Modifies <em class="parameter"><code>matrix</code></em>
- to be an identity transformation.</p>
-<div class="refsect3">
-<a name="cairo-matrix-init-identity.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody><tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr></tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-init-translate"></a><h3>cairo_matrix_init_translate ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_init_translate (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> tx</code></em>,
- <em class="parameter"><code><span class="type">double</span> ty</code></em>);</pre>
-<p>Initializes <em class="parameter"><code>matrix</code></em>
- to a transformation that translates by <em class="parameter"><code>tx</code></em>
- and
-<em class="parameter"><code>ty</code></em>
- in the X and Y dimensions, respectively.</p>
-<div class="refsect3">
-<a name="cairo-matrix-init-translate.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>tx</p></td>
-<td class="parameter_description"><p>amount to translate in the X direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>ty</p></td>
-<td class="parameter_description"><p>amount to translate in the Y direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-init-scale"></a><h3>cairo_matrix_init_scale ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_init_scale (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> sx</code></em>,
- <em class="parameter"><code><span class="type">double</span> sy</code></em>);</pre>
-<p>Initializes <em class="parameter"><code>matrix</code></em>
- to a transformation that scales by <em class="parameter"><code>sx</code></em>
- and <em class="parameter"><code>sy</code></em>
-
-in the X and Y dimensions, respectively.</p>
-<div class="refsect3">
-<a name="cairo-matrix-init-scale.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>sx</p></td>
-<td class="parameter_description"><p>scale factor in the X direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>sy</p></td>
-<td class="parameter_description"><p>scale factor in the Y direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-init-rotate"></a><h3>cairo_matrix_init_rotate ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_init_rotate (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> radians</code></em>);</pre>
-<p>Initialized <em class="parameter"><code>matrix</code></em>
- to a transformation that rotates by <em class="parameter"><code>radians</code></em>
-.</p>
-<div class="refsect3">
-<a name="cairo-matrix-init-rotate.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>radians</p></td>
-<td class="parameter_description"><p>angle of rotation, in radians. The direction of rotation
-is defined such that positive angles rotate in the direction from
-the positive X axis toward the positive Y axis. With the default
-axis orientation of cairo, positive angles rotate in a clockwise
-direction.</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-translate"></a><h3>cairo_matrix_translate ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_translate (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> tx</code></em>,
- <em class="parameter"><code><span class="type">double</span> ty</code></em>);</pre>
-<p>Applies a translation by <em class="parameter"><code>tx</code></em>
-, <em class="parameter"><code>ty</code></em>
- to the transformation in
-<em class="parameter"><code>matrix</code></em>
-. The effect of the new transformation is to first translate
-the coordinates by <em class="parameter"><code>tx</code></em>
- and <em class="parameter"><code>ty</code></em>
-, then apply the original transformation
-to the coordinates.</p>
-<div class="refsect3">
-<a name="cairo-matrix-translate.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>tx</p></td>
-<td class="parameter_description"><p>amount to translate in the X direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>ty</p></td>
-<td class="parameter_description"><p>amount to translate in the Y direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-scale"></a><h3>cairo_matrix_scale ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_scale (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> sx</code></em>,
- <em class="parameter"><code><span class="type">double</span> sy</code></em>);</pre>
-<p>Applies scaling by <em class="parameter"><code>sx</code></em>
-, <em class="parameter"><code>sy</code></em>
- to the transformation in <em class="parameter"><code>matrix</code></em>
-. The
-effect of the new transformation is to first scale the coordinates
-by <em class="parameter"><code>sx</code></em>
- and <em class="parameter"><code>sy</code></em>
-, then apply the original transformation to the coordinates.</p>
-<div class="refsect3">
-<a name="cairo-matrix-scale.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>sx</p></td>
-<td class="parameter_description"><p>scale factor in the X direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>sy</p></td>
-<td class="parameter_description"><p>scale factor in the Y direction</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-rotate"></a><h3>cairo_matrix_rotate ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_rotate (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> radians</code></em>);</pre>
-<p>Applies rotation by <em class="parameter"><code>radians</code></em>
- to the transformation in
-<em class="parameter"><code>matrix</code></em>
-. The effect of the new transformation is to first rotate the
-coordinates by <em class="parameter"><code>radians</code></em>
-, then apply the original transformation
-to the coordinates.</p>
-<div class="refsect3">
-<a name="cairo-matrix-rotate.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>radians</p></td>
-<td class="parameter_description"><p>angle of rotation, in radians. The direction of rotation
-is defined such that positive angles rotate in the direction from
-the positive X axis toward the positive Y axis. With the default
-axis orientation of cairo, positive angles rotate in a clockwise
-direction.</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-invert"></a><h3>cairo_matrix_invert ()</h3>
-<pre class="programlisting"><a class="link" href="cairo-Error-handling.html#cairo-status-t" title="enum cairo_status_t"><span class="returnvalue">cairo_status_t</span></a>
-cairo_matrix_invert (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>);</pre>
-<p>Changes <em class="parameter"><code>matrix</code></em>
- to be the inverse of its original value. Not
-all transformation matrices have inverses; if the matrix
-collapses points together (it is <em class="firstterm">degenerate</em>),
-then it has no inverse and this function will fail.</p>
-<div class="refsect3">
-<a name="cairo-matrix-invert.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody><tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr></tbody>
-</table></div>
-</div>
-<div class="refsect3">
-<a name="cairo-matrix-invert.returns"></a><h4>Returns</h4>
-<p> If <em class="parameter"><code>matrix</code></em>
-has an inverse, modifies <em class="parameter"><code>matrix</code></em>
-to
-be the inverse matrix and returns <a class="link" href="cairo-Error-handling.html#CAIRO-STATUS-SUCCESS:CAPS"><code class="literal">CAIRO_STATUS_SUCCESS</code></a>. Otherwise,
-returns <a class="link" href="cairo-Error-handling.html#CAIRO-STATUS-INVALID-MATRIX:CAPS"><code class="literal">CAIRO_STATUS_INVALID_MATRIX</code></a>.</p>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-multiply"></a><h3>cairo_matrix_multiply ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_multiply (<em class="parameter"><code><a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *result</code></em>,
- <em class="parameter"><code>const <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *a</code></em>,
- <em class="parameter"><code>const <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *b</code></em>);</pre>
-<p>Multiplies the affine transformations in <em class="parameter"><code>a</code></em>
- and <em class="parameter"><code>b</code></em>
- together
-and stores the result in <em class="parameter"><code>result</code></em>
-. The effect of the resulting
-transformation is to first apply the transformation in <em class="parameter"><code>a</code></em>
- to the
-coordinates and then apply the transformation in <em class="parameter"><code>b</code></em>
- to the
-coordinates.</p>
-<p>It is allowable for <em class="parameter"><code>result</code></em>
- to be identical to either <em class="parameter"><code>a</code></em>
- or <em class="parameter"><code>b</code></em>
-.</p>
-<div class="refsect3">
-<a name="cairo-matrix-multiply.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>result</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> in which to store the result</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>a</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>b</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-transform-distance"></a><h3>cairo_matrix_transform_distance ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_transform_distance (<em class="parameter"><code>const <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> *dx</code></em>,
- <em class="parameter"><code><span class="type">double</span> *dy</code></em>);</pre>
-<p>Transforms the distance vector (<em class="parameter"><code>dx</code></em>
-,<em class="parameter"><code>dy</code></em>
-) by <em class="parameter"><code>matrix</code></em>
-. This is
-similar to <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-transform-point" title="cairo_matrix_transform_point ()"><code class="function">cairo_matrix_transform_point()</code></a> except that the translation
-components of the transformation are ignored. The calculation of
-the returned vector is as follows:</p>
-<pre class="programlisting">
-dx2 = dx1 * a + dy1 * c;
-dy2 = dx1 * b + dy1 * d;
-</pre>
-<p>Affine transformations are position invariant, so the same vector
-always transforms to the same vector. If (<em class="parameter"><code>x1</code></em>
-,<em class="parameter"><code>y1</code></em>
-) transforms
-to (<em class="parameter"><code>x2</code></em>
-,<em class="parameter"><code>y2</code></em>
-) then (<em class="parameter"><code>x1</code></em>
-+<em class="parameter"><code>dx1</code></em>
-,<em class="parameter"><code>y1</code></em>
-+<em class="parameter"><code>dy1</code></em>
-) will transform to
-(<em class="parameter"><code>x1</code></em>
-+<em class="parameter"><code>dx2</code></em>
-,<em class="parameter"><code>y1</code></em>
-+<em class="parameter"><code>dy2</code></em>
-) for all values of <em class="parameter"><code>x1</code></em>
- and <em class="parameter"><code>x2</code></em>
-.</p>
-<div class="refsect3">
-<a name="cairo-matrix-transform-distance.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>dx</p></td>
-<td class="parameter_description"><p>X component of a distance vector. An in/out parameter</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>dy</p></td>
-<td class="parameter_description"><p>Y component of a distance vector. An in/out parameter</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-<hr>
-<div class="refsect2">
-<a name="cairo-matrix-transform-point"></a><h3>cairo_matrix_transform_point ()</h3>
-<pre class="programlisting"><span class="returnvalue">void</span>
-cairo_matrix_transform_point (<em class="parameter"><code>const <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> *matrix</code></em>,
- <em class="parameter"><code><span class="type">double</span> *x</code></em>,
- <em class="parameter"><code><span class="type">double</span> *y</code></em>);</pre>
-<p>Transforms the point (<em class="parameter"><code>x</code></em>
-, <em class="parameter"><code>y</code></em>
-) by <em class="parameter"><code>matrix</code></em>
-.</p>
-<div class="refsect3">
-<a name="cairo-matrix-transform-point.parameters"></a><h4>Parameters</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="150px" class="parameters_name">
-<col class="parameters_description">
-<col width="200px" class="parameters_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="parameter_name"><p>matrix</p></td>
-<td class="parameter_description"><p>a <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a></p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>x</p></td>
-<td class="parameter_description"><p>X position. An in/out parameter</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-<tr>
-<td class="parameter_name"><p>y</p></td>
-<td class="parameter_description"><p>Y position. An in/out parameter</p></td>
-<td class="parameter_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-</div>
-<div class="refsect1">
-<a name="cairo-cairo-matrix-t.other_details"></a><h2>Types and Values</h2>
-<div class="refsect2">
-<a name="cairo-matrix-t"></a><h3>cairo_matrix_t</h3>
-<pre class="programlisting">typedef struct {
- double xx; double yx;
- double xy; double yy;
- double x0; double y0;
-} cairo_matrix_t;
-</pre>
-<p>A <a class="link" href="cairo-cairo-matrix-t.html#cairo-matrix-t" title="cairo_matrix_t"><span class="type">cairo_matrix_t</span></a> holds an affine transformation, such as a scale,
-rotation, shear, or a combination of those. The transformation of
-a point (x, y) is given by:</p>
-<pre class="programlisting">
- x_new = xx * x + xy * y + x0;
- y_new = yx * x + yy * y + y0;
-</pre>
-<div class="refsect3">
-<a name="cairo-matrix-t.members"></a><h4>Members</h4>
-<div class="informaltable"><table class="informaltable" width="100%" border="0">
-<colgroup>
-<col width="300px" class="struct_members_name">
-<col class="struct_members_description">
-<col width="200px" class="struct_members_annotations">
-</colgroup>
-<tbody>
-<tr>
-<td class="struct_member_name"><p><span class="type">double</span> <em class="structfield"><code><a name="cairo-matrix-t.xx"></a>xx</code></em>;</p></td>
-<td class="struct_member_description"><p>xx component of the affine transformation</p></td>
-<td class="struct_member_annotations"> </td>
-</tr>
-<tr>
-<td class="struct_member_name"><p><span class="type">double</span> <em class="structfield"><code><a name="cairo-matrix-t.yx"></a>yx</code></em>;</p></td>
-<td class="struct_member_description"><p>yx component of the affine transformation</p></td>
-<td class="struct_member_annotations"> </td>
-</tr>
-<tr>
-<td class="struct_member_name"><p><span class="type">double</span> <em class="structfield"><code><a name="cairo-matrix-t.xy"></a>xy</code></em>;</p></td>
-<td class="struct_member_description"><p>xy component of the affine transformation</p></td>
-<td class="struct_member_annotations"> </td>
-</tr>
-<tr>
-<td class="struct_member_name"><p><span class="type">double</span> <em class="structfield"><code><a name="cairo-matrix-t.yy"></a>yy</code></em>;</p></td>
-<td class="struct_member_description"><p>yy component of the affine transformation</p></td>
-<td class="struct_member_annotations"> </td>
-</tr>
-<tr>
-<td class="struct_member_name"><p><span class="type">double</span> <em class="structfield"><code><a name="cairo-matrix-t.x0"></a>x0</code></em>;</p></td>
-<td class="struct_member_description"><p>X translation component of the affine transformation</p></td>
-<td class="struct_member_annotations"> </td>
-</tr>
-<tr>
-<td class="struct_member_name"><p><span class="type">double</span> <em class="structfield"><code><a name="cairo-matrix-t.y0"></a>y0</code></em>;</p></td>
-<td class="struct_member_description"><p>Y translation component of the affine transformation</p></td>
-<td class="struct_member_annotations"> </td>
-</tr>
-</tbody>
-</table></div>
-</div>
-<p class="since">Since: 1.0</p>
-</div>
-</div>
-<div class="refsect1">
-<a name="cairo-cairo-matrix-t.see-also"></a><h2>See Also</h2>
-<p><a class="link" href="cairo-cairo-t.html#cairo-t" title="cairo_t"><span class="type">cairo_t</span></a></p>
-</div>
-</div>
-<div class="footer">
-<hr>Generated by GTK-Doc V1.27</div>
-</body>
-</html> \ No newline at end of file