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author jpayne
date Tue, 18 Mar 2025 16:23:26 -0400
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jpayne@68 2 <html>
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jpayne@68 17 <a href="#" class="shortcut">Top</a><span id="nav_description">  <span class="dim">|</span> 
jpayne@68 18 <a href="#cairo-cairo-matrix-t.description" class="shortcut">Description</a></span>
jpayne@68 19 </td>
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jpayne@68 23 <td><a accesskey="n" href="cairo-Error-handling.html"><img src="right.png" width="16" height="16" border="0" alt="Next"></a></td>
jpayne@68 24 </tr></table>
jpayne@68 25 <div class="refentry">
jpayne@68 26 <a name="cairo-cairo-matrix-t"></a><div class="titlepage"></div>
jpayne@68 27 <div class="refnamediv"><table width="100%"><tr>
jpayne@68 28 <td valign="top">
jpayne@68 29 <h2><span class="refentrytitle"><a name="cairo-cairo-matrix-t.top_of_page"></a>cairo_matrix_t</span></h2>
jpayne@68 30 <p>cairo_matrix_t — Generic matrix operations</p>
jpayne@68 31 </td>
jpayne@68 32 <td class="gallery_image" valign="top" align="right"></td>
jpayne@68 33 </tr></table></div>
jpayne@68 34 <div class="refsect1">
jpayne@68 35 <a name="cairo-cairo-matrix-t.functions"></a><h2>Functions</h2>
jpayne@68 36 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 37 <colgroup>
jpayne@68 38 <col width="150px" class="functions_return">
jpayne@68 39 <col class="functions_name">
jpayne@68 40 </colgroup>
jpayne@68 41 <tbody>
jpayne@68 42 <tr>
jpayne@68 43 <td class="function_type">
jpayne@68 44 <span class="returnvalue">void</span>
jpayne@68 45 </td>
jpayne@68 46 <td class="function_name">
jpayne@68 47 <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>
jpayne@68 48 </td>
jpayne@68 49 </tr>
jpayne@68 50 <tr>
jpayne@68 51 <td class="function_type">
jpayne@68 52 <span class="returnvalue">void</span>
jpayne@68 53 </td>
jpayne@68 54 <td class="function_name">
jpayne@68 55 <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>
jpayne@68 56 </td>
jpayne@68 57 </tr>
jpayne@68 58 <tr>
jpayne@68 59 <td class="function_type">
jpayne@68 60 <span class="returnvalue">void</span>
jpayne@68 61 </td>
jpayne@68 62 <td class="function_name">
jpayne@68 63 <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>
jpayne@68 64 </td>
jpayne@68 65 </tr>
jpayne@68 66 <tr>
jpayne@68 67 <td class="function_type">
jpayne@68 68 <span class="returnvalue">void</span>
jpayne@68 69 </td>
jpayne@68 70 <td class="function_name">
jpayne@68 71 <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>
jpayne@68 72 </td>
jpayne@68 73 </tr>
jpayne@68 74 <tr>
jpayne@68 75 <td class="function_type">
jpayne@68 76 <span class="returnvalue">void</span>
jpayne@68 77 </td>
jpayne@68 78 <td class="function_name">
jpayne@68 79 <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>
jpayne@68 80 </td>
jpayne@68 81 </tr>
jpayne@68 82 <tr>
jpayne@68 83 <td class="function_type">
jpayne@68 84 <span class="returnvalue">void</span>
jpayne@68 85 </td>
jpayne@68 86 <td class="function_name">
jpayne@68 87 <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>
jpayne@68 88 </td>
jpayne@68 89 </tr>
jpayne@68 90 <tr>
jpayne@68 91 <td class="function_type">
jpayne@68 92 <span class="returnvalue">void</span>
jpayne@68 93 </td>
jpayne@68 94 <td class="function_name">
jpayne@68 95 <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>
jpayne@68 96 </td>
jpayne@68 97 </tr>
jpayne@68 98 <tr>
jpayne@68 99 <td class="function_type">
jpayne@68 100 <span class="returnvalue">void</span>
jpayne@68 101 </td>
jpayne@68 102 <td class="function_name">
jpayne@68 103 <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>
jpayne@68 104 </td>
jpayne@68 105 </tr>
jpayne@68 106 <tr>
jpayne@68 107 <td class="function_type">
jpayne@68 108 <a class="link" href="cairo-Error-handling.html#cairo-status-t" title="enum cairo_status_t"><span class="returnvalue">cairo_status_t</span></a>
jpayne@68 109 </td>
jpayne@68 110 <td class="function_name">
jpayne@68 111 <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>
jpayne@68 112 </td>
jpayne@68 113 </tr>
jpayne@68 114 <tr>
jpayne@68 115 <td class="function_type">
jpayne@68 116 <span class="returnvalue">void</span>
jpayne@68 117 </td>
jpayne@68 118 <td class="function_name">
jpayne@68 119 <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>
jpayne@68 120 </td>
jpayne@68 121 </tr>
jpayne@68 122 <tr>
jpayne@68 123 <td class="function_type">
jpayne@68 124 <span class="returnvalue">void</span>
jpayne@68 125 </td>
jpayne@68 126 <td class="function_name">
jpayne@68 127 <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>
jpayne@68 128 </td>
jpayne@68 129 </tr>
jpayne@68 130 <tr>
jpayne@68 131 <td class="function_type">
jpayne@68 132 <span class="returnvalue">void</span>
jpayne@68 133 </td>
jpayne@68 134 <td class="function_name">
jpayne@68 135 <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>
jpayne@68 136 </td>
jpayne@68 137 </tr>
jpayne@68 138 </tbody>
jpayne@68 139 </table></div>
jpayne@68 140 </div>
jpayne@68 141 <div class="refsect1">
jpayne@68 142 <a name="cairo-cairo-matrix-t.other"></a><h2>Types and Values</h2>
jpayne@68 143 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 144 <colgroup>
jpayne@68 145 <col width="150px" class="name">
jpayne@68 146 <col class="description">
jpayne@68 147 </colgroup>
jpayne@68 148 <tbody><tr>
jpayne@68 149 <td class="datatype_keyword"> </td>
jpayne@68 150 <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>
jpayne@68 151 </tr></tbody>
jpayne@68 152 </table></div>
jpayne@68 153 </div>
jpayne@68 154 <div class="refsect1">
jpayne@68 155 <a name="cairo-cairo-matrix-t.description"></a><h2>Description</h2>
jpayne@68 156 <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
jpayne@68 157 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,
jpayne@68 158 such as a scale, rotation, shear, or a combination of these.
jpayne@68 159 The transformation of a point (<code class="literal">x</code>,<code class="literal">y</code>)
jpayne@68 160 is given by:</p>
jpayne@68 161 <pre class="programlisting">
jpayne@68 162 x_new = xx * x + xy * y + x0;
jpayne@68 163 y_new = yx * x + yy * y + y0;
jpayne@68 164 </pre>
jpayne@68 165 <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
jpayne@68 166 <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
jpayne@68 167 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
jpayne@68 168 <a class="link" href="cairo-Transformations.html#cairo-set-matrix" title="cairo_set_matrix ()"><code class="function">cairo_set_matrix()</code></a>.</p>
jpayne@68 169 </div>
jpayne@68 170 <div class="refsect1">
jpayne@68 171 <a name="cairo-cairo-matrix-t.functions_details"></a><h2>Functions</h2>
jpayne@68 172 <div class="refsect2">
jpayne@68 173 <a name="cairo-matrix-init"></a><h3>cairo_matrix_init ()</h3>
jpayne@68 174 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 175 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>,
jpayne@68 176 <em class="parameter"><code><span class="type">double</span> xx</code></em>,
jpayne@68 177 <em class="parameter"><code><span class="type">double</span> yx</code></em>,
jpayne@68 178 <em class="parameter"><code><span class="type">double</span> xy</code></em>,
jpayne@68 179 <em class="parameter"><code><span class="type">double</span> yy</code></em>,
jpayne@68 180 <em class="parameter"><code><span class="type">double</span> x0</code></em>,
jpayne@68 181 <em class="parameter"><code><span class="type">double</span> y0</code></em>);</pre>
jpayne@68 182 <p>Sets <em class="parameter"><code>matrix</code></em>
jpayne@68 183 to be the affine transformation given by
jpayne@68 184 <em class="parameter"><code>xx</code></em>
jpayne@68 185 , <em class="parameter"><code>yx</code></em>
jpayne@68 186 , <em class="parameter"><code>xy</code></em>
jpayne@68 187 , <em class="parameter"><code>yy</code></em>
jpayne@68 188 , <em class="parameter"><code>x0</code></em>
jpayne@68 189 , <em class="parameter"><code>y0</code></em>
jpayne@68 190 . The transformation is given
jpayne@68 191 by:</p>
jpayne@68 192 <pre class="programlisting">
jpayne@68 193 x_new = xx * x + xy * y + x0;
jpayne@68 194 y_new = yx * x + yy * y + y0;
jpayne@68 195 </pre>
jpayne@68 196 <div class="refsect3">
jpayne@68 197 <a name="cairo-matrix-init.parameters"></a><h4>Parameters</h4>
jpayne@68 198 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 199 <colgroup>
jpayne@68 200 <col width="150px" class="parameters_name">
jpayne@68 201 <col class="parameters_description">
jpayne@68 202 <col width="200px" class="parameters_annotations">
jpayne@68 203 </colgroup>
jpayne@68 204 <tbody>
jpayne@68 205 <tr>
jpayne@68 206 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 207 <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>
jpayne@68 208 <td class="parameter_annotations"> </td>
jpayne@68 209 </tr>
jpayne@68 210 <tr>
jpayne@68 211 <td class="parameter_name"><p>xx</p></td>
jpayne@68 212 <td class="parameter_description"><p>xx component of the affine transformation</p></td>
jpayne@68 213 <td class="parameter_annotations"> </td>
jpayne@68 214 </tr>
jpayne@68 215 <tr>
jpayne@68 216 <td class="parameter_name"><p>yx</p></td>
jpayne@68 217 <td class="parameter_description"><p>yx component of the affine transformation</p></td>
jpayne@68 218 <td class="parameter_annotations"> </td>
jpayne@68 219 </tr>
jpayne@68 220 <tr>
jpayne@68 221 <td class="parameter_name"><p>xy</p></td>
jpayne@68 222 <td class="parameter_description"><p>xy component of the affine transformation</p></td>
jpayne@68 223 <td class="parameter_annotations"> </td>
jpayne@68 224 </tr>
jpayne@68 225 <tr>
jpayne@68 226 <td class="parameter_name"><p>yy</p></td>
jpayne@68 227 <td class="parameter_description"><p>yy component of the affine transformation</p></td>
jpayne@68 228 <td class="parameter_annotations"> </td>
jpayne@68 229 </tr>
jpayne@68 230 <tr>
jpayne@68 231 <td class="parameter_name"><p>x0</p></td>
jpayne@68 232 <td class="parameter_description"><p>X translation component of the affine transformation</p></td>
jpayne@68 233 <td class="parameter_annotations"> </td>
jpayne@68 234 </tr>
jpayne@68 235 <tr>
jpayne@68 236 <td class="parameter_name"><p>y0</p></td>
jpayne@68 237 <td class="parameter_description"><p>Y translation component of the affine transformation</p></td>
jpayne@68 238 <td class="parameter_annotations"> </td>
jpayne@68 239 </tr>
jpayne@68 240 </tbody>
jpayne@68 241 </table></div>
jpayne@68 242 </div>
jpayne@68 243 <p class="since">Since: 1.0</p>
jpayne@68 244 </div>
jpayne@68 245 <hr>
jpayne@68 246 <div class="refsect2">
jpayne@68 247 <a name="cairo-matrix-init-identity"></a><h3>cairo_matrix_init_identity ()</h3>
jpayne@68 248 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 249 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>
jpayne@68 250 <p>Modifies <em class="parameter"><code>matrix</code></em>
jpayne@68 251 to be an identity transformation.</p>
jpayne@68 252 <div class="refsect3">
jpayne@68 253 <a name="cairo-matrix-init-identity.parameters"></a><h4>Parameters</h4>
jpayne@68 254 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 255 <colgroup>
jpayne@68 256 <col width="150px" class="parameters_name">
jpayne@68 257 <col class="parameters_description">
jpayne@68 258 <col width="200px" class="parameters_annotations">
jpayne@68 259 </colgroup>
jpayne@68 260 <tbody><tr>
jpayne@68 261 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 262 <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>
jpayne@68 263 <td class="parameter_annotations"> </td>
jpayne@68 264 </tr></tbody>
jpayne@68 265 </table></div>
jpayne@68 266 </div>
jpayne@68 267 <p class="since">Since: 1.0</p>
jpayne@68 268 </div>
jpayne@68 269 <hr>
jpayne@68 270 <div class="refsect2">
jpayne@68 271 <a name="cairo-matrix-init-translate"></a><h3>cairo_matrix_init_translate ()</h3>
jpayne@68 272 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 273 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>,
jpayne@68 274 <em class="parameter"><code><span class="type">double</span> tx</code></em>,
jpayne@68 275 <em class="parameter"><code><span class="type">double</span> ty</code></em>);</pre>
jpayne@68 276 <p>Initializes <em class="parameter"><code>matrix</code></em>
jpayne@68 277 to a transformation that translates by <em class="parameter"><code>tx</code></em>
jpayne@68 278 and
jpayne@68 279 <em class="parameter"><code>ty</code></em>
jpayne@68 280 in the X and Y dimensions, respectively.</p>
jpayne@68 281 <div class="refsect3">
jpayne@68 282 <a name="cairo-matrix-init-translate.parameters"></a><h4>Parameters</h4>
jpayne@68 283 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 284 <colgroup>
jpayne@68 285 <col width="150px" class="parameters_name">
jpayne@68 286 <col class="parameters_description">
jpayne@68 287 <col width="200px" class="parameters_annotations">
jpayne@68 288 </colgroup>
jpayne@68 289 <tbody>
jpayne@68 290 <tr>
jpayne@68 291 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 292 <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>
jpayne@68 293 <td class="parameter_annotations"> </td>
jpayne@68 294 </tr>
jpayne@68 295 <tr>
jpayne@68 296 <td class="parameter_name"><p>tx</p></td>
jpayne@68 297 <td class="parameter_description"><p>amount to translate in the X direction</p></td>
jpayne@68 298 <td class="parameter_annotations"> </td>
jpayne@68 299 </tr>
jpayne@68 300 <tr>
jpayne@68 301 <td class="parameter_name"><p>ty</p></td>
jpayne@68 302 <td class="parameter_description"><p>amount to translate in the Y direction</p></td>
jpayne@68 303 <td class="parameter_annotations"> </td>
jpayne@68 304 </tr>
jpayne@68 305 </tbody>
jpayne@68 306 </table></div>
jpayne@68 307 </div>
jpayne@68 308 <p class="since">Since: 1.0</p>
jpayne@68 309 </div>
jpayne@68 310 <hr>
jpayne@68 311 <div class="refsect2">
jpayne@68 312 <a name="cairo-matrix-init-scale"></a><h3>cairo_matrix_init_scale ()</h3>
jpayne@68 313 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 314 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>,
jpayne@68 315 <em class="parameter"><code><span class="type">double</span> sx</code></em>,
jpayne@68 316 <em class="parameter"><code><span class="type">double</span> sy</code></em>);</pre>
jpayne@68 317 <p>Initializes <em class="parameter"><code>matrix</code></em>
jpayne@68 318 to a transformation that scales by <em class="parameter"><code>sx</code></em>
jpayne@68 319 and <em class="parameter"><code>sy</code></em>
jpayne@68 320
jpayne@68 321 in the X and Y dimensions, respectively.</p>
jpayne@68 322 <div class="refsect3">
jpayne@68 323 <a name="cairo-matrix-init-scale.parameters"></a><h4>Parameters</h4>
jpayne@68 324 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 325 <colgroup>
jpayne@68 326 <col width="150px" class="parameters_name">
jpayne@68 327 <col class="parameters_description">
jpayne@68 328 <col width="200px" class="parameters_annotations">
jpayne@68 329 </colgroup>
jpayne@68 330 <tbody>
jpayne@68 331 <tr>
jpayne@68 332 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 333 <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>
jpayne@68 334 <td class="parameter_annotations"> </td>
jpayne@68 335 </tr>
jpayne@68 336 <tr>
jpayne@68 337 <td class="parameter_name"><p>sx</p></td>
jpayne@68 338 <td class="parameter_description"><p>scale factor in the X direction</p></td>
jpayne@68 339 <td class="parameter_annotations"> </td>
jpayne@68 340 </tr>
jpayne@68 341 <tr>
jpayne@68 342 <td class="parameter_name"><p>sy</p></td>
jpayne@68 343 <td class="parameter_description"><p>scale factor in the Y direction</p></td>
jpayne@68 344 <td class="parameter_annotations"> </td>
jpayne@68 345 </tr>
jpayne@68 346 </tbody>
jpayne@68 347 </table></div>
jpayne@68 348 </div>
jpayne@68 349 <p class="since">Since: 1.0</p>
jpayne@68 350 </div>
jpayne@68 351 <hr>
jpayne@68 352 <div class="refsect2">
jpayne@68 353 <a name="cairo-matrix-init-rotate"></a><h3>cairo_matrix_init_rotate ()</h3>
jpayne@68 354 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 355 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>,
jpayne@68 356 <em class="parameter"><code><span class="type">double</span> radians</code></em>);</pre>
jpayne@68 357 <p>Initialized <em class="parameter"><code>matrix</code></em>
jpayne@68 358 to a transformation that rotates by <em class="parameter"><code>radians</code></em>
jpayne@68 359 .</p>
jpayne@68 360 <div class="refsect3">
jpayne@68 361 <a name="cairo-matrix-init-rotate.parameters"></a><h4>Parameters</h4>
jpayne@68 362 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 363 <colgroup>
jpayne@68 364 <col width="150px" class="parameters_name">
jpayne@68 365 <col class="parameters_description">
jpayne@68 366 <col width="200px" class="parameters_annotations">
jpayne@68 367 </colgroup>
jpayne@68 368 <tbody>
jpayne@68 369 <tr>
jpayne@68 370 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 371 <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>
jpayne@68 372 <td class="parameter_annotations"> </td>
jpayne@68 373 </tr>
jpayne@68 374 <tr>
jpayne@68 375 <td class="parameter_name"><p>radians</p></td>
jpayne@68 376 <td class="parameter_description"><p>angle of rotation, in radians. The direction of rotation
jpayne@68 377 is defined such that positive angles rotate in the direction from
jpayne@68 378 the positive X axis toward the positive Y axis. With the default
jpayne@68 379 axis orientation of cairo, positive angles rotate in a clockwise
jpayne@68 380 direction.</p></td>
jpayne@68 381 <td class="parameter_annotations"> </td>
jpayne@68 382 </tr>
jpayne@68 383 </tbody>
jpayne@68 384 </table></div>
jpayne@68 385 </div>
jpayne@68 386 <p class="since">Since: 1.0</p>
jpayne@68 387 </div>
jpayne@68 388 <hr>
jpayne@68 389 <div class="refsect2">
jpayne@68 390 <a name="cairo-matrix-translate"></a><h3>cairo_matrix_translate ()</h3>
jpayne@68 391 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 392 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>,
jpayne@68 393 <em class="parameter"><code><span class="type">double</span> tx</code></em>,
jpayne@68 394 <em class="parameter"><code><span class="type">double</span> ty</code></em>);</pre>
jpayne@68 395 <p>Applies a translation by <em class="parameter"><code>tx</code></em>
jpayne@68 396 , <em class="parameter"><code>ty</code></em>
jpayne@68 397 to the transformation in
jpayne@68 398 <em class="parameter"><code>matrix</code></em>
jpayne@68 399 . The effect of the new transformation is to first translate
jpayne@68 400 the coordinates by <em class="parameter"><code>tx</code></em>
jpayne@68 401 and <em class="parameter"><code>ty</code></em>
jpayne@68 402 , then apply the original transformation
jpayne@68 403 to the coordinates.</p>
jpayne@68 404 <div class="refsect3">
jpayne@68 405 <a name="cairo-matrix-translate.parameters"></a><h4>Parameters</h4>
jpayne@68 406 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 407 <colgroup>
jpayne@68 408 <col width="150px" class="parameters_name">
jpayne@68 409 <col class="parameters_description">
jpayne@68 410 <col width="200px" class="parameters_annotations">
jpayne@68 411 </colgroup>
jpayne@68 412 <tbody>
jpayne@68 413 <tr>
jpayne@68 414 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 415 <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>
jpayne@68 416 <td class="parameter_annotations"> </td>
jpayne@68 417 </tr>
jpayne@68 418 <tr>
jpayne@68 419 <td class="parameter_name"><p>tx</p></td>
jpayne@68 420 <td class="parameter_description"><p>amount to translate in the X direction</p></td>
jpayne@68 421 <td class="parameter_annotations"> </td>
jpayne@68 422 </tr>
jpayne@68 423 <tr>
jpayne@68 424 <td class="parameter_name"><p>ty</p></td>
jpayne@68 425 <td class="parameter_description"><p>amount to translate in the Y direction</p></td>
jpayne@68 426 <td class="parameter_annotations"> </td>
jpayne@68 427 </tr>
jpayne@68 428 </tbody>
jpayne@68 429 </table></div>
jpayne@68 430 </div>
jpayne@68 431 <p class="since">Since: 1.0</p>
jpayne@68 432 </div>
jpayne@68 433 <hr>
jpayne@68 434 <div class="refsect2">
jpayne@68 435 <a name="cairo-matrix-scale"></a><h3>cairo_matrix_scale ()</h3>
jpayne@68 436 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 437 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>,
jpayne@68 438 <em class="parameter"><code><span class="type">double</span> sx</code></em>,
jpayne@68 439 <em class="parameter"><code><span class="type">double</span> sy</code></em>);</pre>
jpayne@68 440 <p>Applies scaling by <em class="parameter"><code>sx</code></em>
jpayne@68 441 , <em class="parameter"><code>sy</code></em>
jpayne@68 442 to the transformation in <em class="parameter"><code>matrix</code></em>
jpayne@68 443 . The
jpayne@68 444 effect of the new transformation is to first scale the coordinates
jpayne@68 445 by <em class="parameter"><code>sx</code></em>
jpayne@68 446 and <em class="parameter"><code>sy</code></em>
jpayne@68 447 , then apply the original transformation to the coordinates.</p>
jpayne@68 448 <div class="refsect3">
jpayne@68 449 <a name="cairo-matrix-scale.parameters"></a><h4>Parameters</h4>
jpayne@68 450 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 451 <colgroup>
jpayne@68 452 <col width="150px" class="parameters_name">
jpayne@68 453 <col class="parameters_description">
jpayne@68 454 <col width="200px" class="parameters_annotations">
jpayne@68 455 </colgroup>
jpayne@68 456 <tbody>
jpayne@68 457 <tr>
jpayne@68 458 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 459 <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>
jpayne@68 460 <td class="parameter_annotations"> </td>
jpayne@68 461 </tr>
jpayne@68 462 <tr>
jpayne@68 463 <td class="parameter_name"><p>sx</p></td>
jpayne@68 464 <td class="parameter_description"><p>scale factor in the X direction</p></td>
jpayne@68 465 <td class="parameter_annotations"> </td>
jpayne@68 466 </tr>
jpayne@68 467 <tr>
jpayne@68 468 <td class="parameter_name"><p>sy</p></td>
jpayne@68 469 <td class="parameter_description"><p>scale factor in the Y direction</p></td>
jpayne@68 470 <td class="parameter_annotations"> </td>
jpayne@68 471 </tr>
jpayne@68 472 </tbody>
jpayne@68 473 </table></div>
jpayne@68 474 </div>
jpayne@68 475 <p class="since">Since: 1.0</p>
jpayne@68 476 </div>
jpayne@68 477 <hr>
jpayne@68 478 <div class="refsect2">
jpayne@68 479 <a name="cairo-matrix-rotate"></a><h3>cairo_matrix_rotate ()</h3>
jpayne@68 480 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 481 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>,
jpayne@68 482 <em class="parameter"><code><span class="type">double</span> radians</code></em>);</pre>
jpayne@68 483 <p>Applies rotation by <em class="parameter"><code>radians</code></em>
jpayne@68 484 to the transformation in
jpayne@68 485 <em class="parameter"><code>matrix</code></em>
jpayne@68 486 . The effect of the new transformation is to first rotate the
jpayne@68 487 coordinates by <em class="parameter"><code>radians</code></em>
jpayne@68 488 , then apply the original transformation
jpayne@68 489 to the coordinates.</p>
jpayne@68 490 <div class="refsect3">
jpayne@68 491 <a name="cairo-matrix-rotate.parameters"></a><h4>Parameters</h4>
jpayne@68 492 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 493 <colgroup>
jpayne@68 494 <col width="150px" class="parameters_name">
jpayne@68 495 <col class="parameters_description">
jpayne@68 496 <col width="200px" class="parameters_annotations">
jpayne@68 497 </colgroup>
jpayne@68 498 <tbody>
jpayne@68 499 <tr>
jpayne@68 500 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 501 <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>
jpayne@68 502 <td class="parameter_annotations"> </td>
jpayne@68 503 </tr>
jpayne@68 504 <tr>
jpayne@68 505 <td class="parameter_name"><p>radians</p></td>
jpayne@68 506 <td class="parameter_description"><p>angle of rotation, in radians. The direction of rotation
jpayne@68 507 is defined such that positive angles rotate in the direction from
jpayne@68 508 the positive X axis toward the positive Y axis. With the default
jpayne@68 509 axis orientation of cairo, positive angles rotate in a clockwise
jpayne@68 510 direction.</p></td>
jpayne@68 511 <td class="parameter_annotations"> </td>
jpayne@68 512 </tr>
jpayne@68 513 </tbody>
jpayne@68 514 </table></div>
jpayne@68 515 </div>
jpayne@68 516 <p class="since">Since: 1.0</p>
jpayne@68 517 </div>
jpayne@68 518 <hr>
jpayne@68 519 <div class="refsect2">
jpayne@68 520 <a name="cairo-matrix-invert"></a><h3>cairo_matrix_invert ()</h3>
jpayne@68 521 <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>
jpayne@68 522 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>
jpayne@68 523 <p>Changes <em class="parameter"><code>matrix</code></em>
jpayne@68 524 to be the inverse of its original value. Not
jpayne@68 525 all transformation matrices have inverses; if the matrix
jpayne@68 526 collapses points together (it is <em class="firstterm">degenerate</em>),
jpayne@68 527 then it has no inverse and this function will fail.</p>
jpayne@68 528 <div class="refsect3">
jpayne@68 529 <a name="cairo-matrix-invert.parameters"></a><h4>Parameters</h4>
jpayne@68 530 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 531 <colgroup>
jpayne@68 532 <col width="150px" class="parameters_name">
jpayne@68 533 <col class="parameters_description">
jpayne@68 534 <col width="200px" class="parameters_annotations">
jpayne@68 535 </colgroup>
jpayne@68 536 <tbody><tr>
jpayne@68 537 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 538 <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>
jpayne@68 539 <td class="parameter_annotations"> </td>
jpayne@68 540 </tr></tbody>
jpayne@68 541 </table></div>
jpayne@68 542 </div>
jpayne@68 543 <div class="refsect3">
jpayne@68 544 <a name="cairo-matrix-invert.returns"></a><h4>Returns</h4>
jpayne@68 545 <p> If <em class="parameter"><code>matrix</code></em>
jpayne@68 546 has an inverse, modifies <em class="parameter"><code>matrix</code></em>
jpayne@68 547 to
jpayne@68 548 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,
jpayne@68 549 returns <a class="link" href="cairo-Error-handling.html#CAIRO-STATUS-INVALID-MATRIX:CAPS"><code class="literal">CAIRO_STATUS_INVALID_MATRIX</code></a>.</p>
jpayne@68 550 </div>
jpayne@68 551 <p class="since">Since: 1.0</p>
jpayne@68 552 </div>
jpayne@68 553 <hr>
jpayne@68 554 <div class="refsect2">
jpayne@68 555 <a name="cairo-matrix-multiply"></a><h3>cairo_matrix_multiply ()</h3>
jpayne@68 556 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 557 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>,
jpayne@68 558 <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>,
jpayne@68 559 <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>
jpayne@68 560 <p>Multiplies the affine transformations in <em class="parameter"><code>a</code></em>
jpayne@68 561 and <em class="parameter"><code>b</code></em>
jpayne@68 562 together
jpayne@68 563 and stores the result in <em class="parameter"><code>result</code></em>
jpayne@68 564 . The effect of the resulting
jpayne@68 565 transformation is to first apply the transformation in <em class="parameter"><code>a</code></em>
jpayne@68 566 to the
jpayne@68 567 coordinates and then apply the transformation in <em class="parameter"><code>b</code></em>
jpayne@68 568 to the
jpayne@68 569 coordinates.</p>
jpayne@68 570 <p>It is allowable for <em class="parameter"><code>result</code></em>
jpayne@68 571 to be identical to either <em class="parameter"><code>a</code></em>
jpayne@68 572 or <em class="parameter"><code>b</code></em>
jpayne@68 573 .</p>
jpayne@68 574 <div class="refsect3">
jpayne@68 575 <a name="cairo-matrix-multiply.parameters"></a><h4>Parameters</h4>
jpayne@68 576 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 577 <colgroup>
jpayne@68 578 <col width="150px" class="parameters_name">
jpayne@68 579 <col class="parameters_description">
jpayne@68 580 <col width="200px" class="parameters_annotations">
jpayne@68 581 </colgroup>
jpayne@68 582 <tbody>
jpayne@68 583 <tr>
jpayne@68 584 <td class="parameter_name"><p>result</p></td>
jpayne@68 585 <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>
jpayne@68 586 <td class="parameter_annotations"> </td>
jpayne@68 587 </tr>
jpayne@68 588 <tr>
jpayne@68 589 <td class="parameter_name"><p>a</p></td>
jpayne@68 590 <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>
jpayne@68 591 <td class="parameter_annotations"> </td>
jpayne@68 592 </tr>
jpayne@68 593 <tr>
jpayne@68 594 <td class="parameter_name"><p>b</p></td>
jpayne@68 595 <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>
jpayne@68 596 <td class="parameter_annotations"> </td>
jpayne@68 597 </tr>
jpayne@68 598 </tbody>
jpayne@68 599 </table></div>
jpayne@68 600 </div>
jpayne@68 601 <p class="since">Since: 1.0</p>
jpayne@68 602 </div>
jpayne@68 603 <hr>
jpayne@68 604 <div class="refsect2">
jpayne@68 605 <a name="cairo-matrix-transform-distance"></a><h3>cairo_matrix_transform_distance ()</h3>
jpayne@68 606 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 607 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>,
jpayne@68 608 <em class="parameter"><code><span class="type">double</span> *dx</code></em>,
jpayne@68 609 <em class="parameter"><code><span class="type">double</span> *dy</code></em>);</pre>
jpayne@68 610 <p>Transforms the distance vector (<em class="parameter"><code>dx</code></em>
jpayne@68 611 ,<em class="parameter"><code>dy</code></em>
jpayne@68 612 ) by <em class="parameter"><code>matrix</code></em>
jpayne@68 613 . This is
jpayne@68 614 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
jpayne@68 615 components of the transformation are ignored. The calculation of
jpayne@68 616 the returned vector is as follows:</p>
jpayne@68 617 <pre class="programlisting">
jpayne@68 618 dx2 = dx1 * a + dy1 * c;
jpayne@68 619 dy2 = dx1 * b + dy1 * d;
jpayne@68 620 </pre>
jpayne@68 621 <p>Affine transformations are position invariant, so the same vector
jpayne@68 622 always transforms to the same vector. If (<em class="parameter"><code>x1</code></em>
jpayne@68 623 ,<em class="parameter"><code>y1</code></em>
jpayne@68 624 ) transforms
jpayne@68 625 to (<em class="parameter"><code>x2</code></em>
jpayne@68 626 ,<em class="parameter"><code>y2</code></em>
jpayne@68 627 ) then (<em class="parameter"><code>x1</code></em>
jpayne@68 628 +<em class="parameter"><code>dx1</code></em>
jpayne@68 629 ,<em class="parameter"><code>y1</code></em>
jpayne@68 630 +<em class="parameter"><code>dy1</code></em>
jpayne@68 631 ) will transform to
jpayne@68 632 (<em class="parameter"><code>x1</code></em>
jpayne@68 633 +<em class="parameter"><code>dx2</code></em>
jpayne@68 634 ,<em class="parameter"><code>y1</code></em>
jpayne@68 635 +<em class="parameter"><code>dy2</code></em>
jpayne@68 636 ) for all values of <em class="parameter"><code>x1</code></em>
jpayne@68 637 and <em class="parameter"><code>x2</code></em>
jpayne@68 638 .</p>
jpayne@68 639 <div class="refsect3">
jpayne@68 640 <a name="cairo-matrix-transform-distance.parameters"></a><h4>Parameters</h4>
jpayne@68 641 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 642 <colgroup>
jpayne@68 643 <col width="150px" class="parameters_name">
jpayne@68 644 <col class="parameters_description">
jpayne@68 645 <col width="200px" class="parameters_annotations">
jpayne@68 646 </colgroup>
jpayne@68 647 <tbody>
jpayne@68 648 <tr>
jpayne@68 649 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 650 <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>
jpayne@68 651 <td class="parameter_annotations"> </td>
jpayne@68 652 </tr>
jpayne@68 653 <tr>
jpayne@68 654 <td class="parameter_name"><p>dx</p></td>
jpayne@68 655 <td class="parameter_description"><p>X component of a distance vector. An in/out parameter</p></td>
jpayne@68 656 <td class="parameter_annotations"> </td>
jpayne@68 657 </tr>
jpayne@68 658 <tr>
jpayne@68 659 <td class="parameter_name"><p>dy</p></td>
jpayne@68 660 <td class="parameter_description"><p>Y component of a distance vector. An in/out parameter</p></td>
jpayne@68 661 <td class="parameter_annotations"> </td>
jpayne@68 662 </tr>
jpayne@68 663 </tbody>
jpayne@68 664 </table></div>
jpayne@68 665 </div>
jpayne@68 666 <p class="since">Since: 1.0</p>
jpayne@68 667 </div>
jpayne@68 668 <hr>
jpayne@68 669 <div class="refsect2">
jpayne@68 670 <a name="cairo-matrix-transform-point"></a><h3>cairo_matrix_transform_point ()</h3>
jpayne@68 671 <pre class="programlisting"><span class="returnvalue">void</span>
jpayne@68 672 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>,
jpayne@68 673 <em class="parameter"><code><span class="type">double</span> *x</code></em>,
jpayne@68 674 <em class="parameter"><code><span class="type">double</span> *y</code></em>);</pre>
jpayne@68 675 <p>Transforms the point (<em class="parameter"><code>x</code></em>
jpayne@68 676 , <em class="parameter"><code>y</code></em>
jpayne@68 677 ) by <em class="parameter"><code>matrix</code></em>
jpayne@68 678 .</p>
jpayne@68 679 <div class="refsect3">
jpayne@68 680 <a name="cairo-matrix-transform-point.parameters"></a><h4>Parameters</h4>
jpayne@68 681 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 682 <colgroup>
jpayne@68 683 <col width="150px" class="parameters_name">
jpayne@68 684 <col class="parameters_description">
jpayne@68 685 <col width="200px" class="parameters_annotations">
jpayne@68 686 </colgroup>
jpayne@68 687 <tbody>
jpayne@68 688 <tr>
jpayne@68 689 <td class="parameter_name"><p>matrix</p></td>
jpayne@68 690 <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>
jpayne@68 691 <td class="parameter_annotations"> </td>
jpayne@68 692 </tr>
jpayne@68 693 <tr>
jpayne@68 694 <td class="parameter_name"><p>x</p></td>
jpayne@68 695 <td class="parameter_description"><p>X position. An in/out parameter</p></td>
jpayne@68 696 <td class="parameter_annotations"> </td>
jpayne@68 697 </tr>
jpayne@68 698 <tr>
jpayne@68 699 <td class="parameter_name"><p>y</p></td>
jpayne@68 700 <td class="parameter_description"><p>Y position. An in/out parameter</p></td>
jpayne@68 701 <td class="parameter_annotations"> </td>
jpayne@68 702 </tr>
jpayne@68 703 </tbody>
jpayne@68 704 </table></div>
jpayne@68 705 </div>
jpayne@68 706 <p class="since">Since: 1.0</p>
jpayne@68 707 </div>
jpayne@68 708 </div>
jpayne@68 709 <div class="refsect1">
jpayne@68 710 <a name="cairo-cairo-matrix-t.other_details"></a><h2>Types and Values</h2>
jpayne@68 711 <div class="refsect2">
jpayne@68 712 <a name="cairo-matrix-t"></a><h3>cairo_matrix_t</h3>
jpayne@68 713 <pre class="programlisting">typedef struct {
jpayne@68 714 double xx; double yx;
jpayne@68 715 double xy; double yy;
jpayne@68 716 double x0; double y0;
jpayne@68 717 } cairo_matrix_t;
jpayne@68 718 </pre>
jpayne@68 719 <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,
jpayne@68 720 rotation, shear, or a combination of those. The transformation of
jpayne@68 721 a point (x, y) is given by:</p>
jpayne@68 722 <pre class="programlisting">
jpayne@68 723 x_new = xx * x + xy * y + x0;
jpayne@68 724 y_new = yx * x + yy * y + y0;
jpayne@68 725 </pre>
jpayne@68 726 <div class="refsect3">
jpayne@68 727 <a name="cairo-matrix-t.members"></a><h4>Members</h4>
jpayne@68 728 <div class="informaltable"><table class="informaltable" width="100%" border="0">
jpayne@68 729 <colgroup>
jpayne@68 730 <col width="300px" class="struct_members_name">
jpayne@68 731 <col class="struct_members_description">
jpayne@68 732 <col width="200px" class="struct_members_annotations">
jpayne@68 733 </colgroup>
jpayne@68 734 <tbody>
jpayne@68 735 <tr>
jpayne@68 736 <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>
jpayne@68 737 <td class="struct_member_description"><p>xx component of the affine transformation</p></td>
jpayne@68 738 <td class="struct_member_annotations"> </td>
jpayne@68 739 </tr>
jpayne@68 740 <tr>
jpayne@68 741 <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>
jpayne@68 742 <td class="struct_member_description"><p>yx component of the affine transformation</p></td>
jpayne@68 743 <td class="struct_member_annotations"> </td>
jpayne@68 744 </tr>
jpayne@68 745 <tr>
jpayne@68 746 <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>
jpayne@68 747 <td class="struct_member_description"><p>xy component of the affine transformation</p></td>
jpayne@68 748 <td class="struct_member_annotations"> </td>
jpayne@68 749 </tr>
jpayne@68 750 <tr>
jpayne@68 751 <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>
jpayne@68 752 <td class="struct_member_description"><p>yy component of the affine transformation</p></td>
jpayne@68 753 <td class="struct_member_annotations"> </td>
jpayne@68 754 </tr>
jpayne@68 755 <tr>
jpayne@68 756 <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>
jpayne@68 757 <td class="struct_member_description"><p>X translation component of the affine transformation</p></td>
jpayne@68 758 <td class="struct_member_annotations"> </td>
jpayne@68 759 </tr>
jpayne@68 760 <tr>
jpayne@68 761 <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>
jpayne@68 762 <td class="struct_member_description"><p>Y translation component of the affine transformation</p></td>
jpayne@68 763 <td class="struct_member_annotations"> </td>
jpayne@68 764 </tr>
jpayne@68 765 </tbody>
jpayne@68 766 </table></div>
jpayne@68 767 </div>
jpayne@68 768 <p class="since">Since: 1.0</p>
jpayne@68 769 </div>
jpayne@68 770 </div>
jpayne@68 771 <div class="refsect1">
jpayne@68 772 <a name="cairo-cairo-matrix-t.see-also"></a><h2>See Also</h2>
jpayne@68 773 <p><a class="link" href="cairo-cairo-t.html#cairo-t" title="cairo_t"><span class="type">cairo_t</span></a></p>
jpayne@68 774 </div>
jpayne@68 775 </div>
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