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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/xml/cairo-matrix.xml
parentf567ea1e2798fd3156a416e61f083ea3e6b95719 (diff)
switch to tinyobj and nanovg from assimp and cairo
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-<?xml version='1.0' encoding='UTF-8'?>
-<!DOCTYPE refentry PUBLIC "-//OASIS//DTD DocBook XML V4.2//EN"
- "http://www.oasis-open.org/docbook/xml/4.2/docbookx.dtd" [
-<!ENTITY version SYSTEM "version.xml">
-]>
-<refentry id="cairo-cairo-matrix-t">
-<refmeta>
-<refentrytitle role="top_of_page" id="cairo-cairo-matrix-t.top_of_page">cairo_matrix_t</refentrytitle>
-<manvolnum>3</manvolnum>
-<refmiscinfo>CAIRO Library</refmiscinfo>
-</refmeta>
-<refnamediv>
-<refname>cairo_matrix_t</refname>
-<refpurpose>Generic matrix operations</refpurpose>
-</refnamediv>
-
-<refsect1 id="cairo-cairo-matrix-t.functions" role="functions_proto">
-<title role="functions_proto.title">Functions</title>
-<informaltable pgwide="1" frame="none">
-<tgroup cols="2">
-<colspec colname="functions_return" colwidth="150px"/>
-<colspec colname="functions_name"/>
-<tbody>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-init">cairo_matrix_init</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-init-identity">cairo_matrix_init_identity</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-init-translate">cairo_matrix_init_translate</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-init-scale">cairo_matrix_init_scale</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-init-rotate">cairo_matrix_init_rotate</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-translate">cairo_matrix_translate</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-scale">cairo_matrix_scale</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-rotate">cairo_matrix_rotate</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="cairo-status-t"><returnvalue>cairo_status_t</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-invert">cairo_matrix_invert</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-multiply">cairo_matrix_multiply</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-transform-distance">cairo_matrix_transform_distance</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-<row><entry role="function_type"><link linkend="void"><returnvalue>void</returnvalue></link>
-</entry><entry role="function_name"><link linkend="cairo-matrix-transform-point">cairo_matrix_transform_point</link>&#160;<phrase role="c_punctuation">()</phrase></entry></row>
-
-</tbody>
-</tgroup>
-</informaltable>
-</refsect1>
-<refsect1 id="cairo-cairo-matrix-t.other" role="other_proto">
-<title role="other_proto.title">Types and Values</title>
-<informaltable role="enum_members_table" pgwide="1" frame="none">
-<tgroup cols="2">
-<colspec colname="name" colwidth="150px"/>
-<colspec colname="description"/>
-<tbody>
-<row><entry role="datatype_keyword"></entry><entry role="function_name"><link linkend="cairo-matrix-t">cairo_matrix_t</link></entry></row>
-
-</tbody>
-</tgroup>
-</informaltable>
-</refsect1>
-
-
-<refsect1 id="cairo-cairo-matrix-t.description" role="desc">
-<title role="desc.title">Description</title>
-<para><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> is used throughout cairo to convert between different
-coordinate spaces. A <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> holds an affine transformation,
-such as a scale, rotation, shear, or a combination of these.
-The transformation of a point (<literal>x</literal>,<literal>y</literal>)
-is given by:</para>
-<programlisting>
-x_new = xx * x + xy * y + x0;
-y_new = yx * x + yy * y + y0;
-</programlisting>
-<para>The current transformation matrix of a <link linkend="cairo-t"><type>cairo_t</type></link>, represented as a
-<link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link>, defines the transformation from user-space
-coordinates to device-space coordinates. See <link linkend="cairo-get-matrix"><function>cairo_get_matrix()</function></link> and
-<link linkend="cairo-set-matrix"><function>cairo_set_matrix()</function></link>.</para>
-
-</refsect1>
-<refsect1 id="cairo-cairo-matrix-t.functions_details" role="details">
-<title role="details.title">Functions</title>
-<refsect2 id="cairo-matrix-init" role="function" condition="since:1.0">
-<title>cairo_matrix_init&#160;()</title>
-<indexterm zone="cairo-matrix-init" role="1.0"><primary sortas="matrix_init">cairo_matrix_init</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_init (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> xx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> yx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> xy</parameter>,
- <parameter><link linkend="double"><type>double</type></link> yy</parameter>,
- <parameter><link linkend="double"><type>double</type></link> x0</parameter>,
- <parameter><link linkend="double"><type>double</type></link> y0</parameter>);</programlisting>
-<para>Sets <parameter>matrix</parameter>
- to be the affine transformation given by
-<parameter>xx</parameter>
-, <parameter>yx</parameter>
-, <parameter>xy</parameter>
-, <parameter>yy</parameter>
-, <parameter>x0</parameter>
-, <parameter>y0</parameter>
-. The transformation is given
-by:</para>
-<programlisting>
- x_new = xx * x + xy * y + x0;
- y_new = yx * x + yy * y + y0;
-</programlisting>
-<refsect3 id="cairo-matrix-init.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>xx</para></entry>
-<entry role="parameter_description"><para>xx component of the affine transformation</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>yx</para></entry>
-<entry role="parameter_description"><para>yx component of the affine transformation</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>xy</para></entry>
-<entry role="parameter_description"><para>xy component of the affine transformation</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>yy</para></entry>
-<entry role="parameter_description"><para>yy component of the affine transformation</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>x0</para></entry>
-<entry role="parameter_description"><para>X translation component of the affine transformation</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>y0</para></entry>
-<entry role="parameter_description"><para>Y translation component of the affine transformation</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-init-identity" role="function" condition="since:1.0">
-<title>cairo_matrix_init_identity&#160;()</title>
-<indexterm zone="cairo-matrix-init-identity" role="1.0"><primary sortas="matrix_init_identity">cairo_matrix_init_identity</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_init_identity (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>);</programlisting>
-<para>Modifies <parameter>matrix</parameter>
- to be an identity transformation.</para>
-<refsect3 id="cairo-matrix-init-identity.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-init-translate" role="function" condition="since:1.0">
-<title>cairo_matrix_init_translate&#160;()</title>
-<indexterm zone="cairo-matrix-init-translate" role="1.0"><primary sortas="matrix_init_translate">cairo_matrix_init_translate</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_init_translate (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> tx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> ty</parameter>);</programlisting>
-<para>Initializes <parameter>matrix</parameter>
- to a transformation that translates by <parameter>tx</parameter>
- and
-<parameter>ty</parameter>
- in the X and Y dimensions, respectively.</para>
-<refsect3 id="cairo-matrix-init-translate.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>tx</para></entry>
-<entry role="parameter_description"><para>amount to translate in the X direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>ty</para></entry>
-<entry role="parameter_description"><para>amount to translate in the Y direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-init-scale" role="function" condition="since:1.0">
-<title>cairo_matrix_init_scale&#160;()</title>
-<indexterm zone="cairo-matrix-init-scale" role="1.0"><primary sortas="matrix_init_scale">cairo_matrix_init_scale</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_init_scale (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> sx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> sy</parameter>);</programlisting>
-<para>Initializes <parameter>matrix</parameter>
- to a transformation that scales by <parameter>sx</parameter>
- and <parameter>sy</parameter>
-
-in the X and Y dimensions, respectively.</para>
-<refsect3 id="cairo-matrix-init-scale.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>sx</para></entry>
-<entry role="parameter_description"><para>scale factor in the X direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>sy</para></entry>
-<entry role="parameter_description"><para>scale factor in the Y direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-init-rotate" role="function" condition="since:1.0">
-<title>cairo_matrix_init_rotate&#160;()</title>
-<indexterm zone="cairo-matrix-init-rotate" role="1.0"><primary sortas="matrix_init_rotate">cairo_matrix_init_rotate</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_init_rotate (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> radians</parameter>);</programlisting>
-<para>Initialized <parameter>matrix</parameter>
- to a transformation that rotates by <parameter>radians</parameter>
-.</para>
-<refsect3 id="cairo-matrix-init-rotate.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>radians</para></entry>
-<entry role="parameter_description"><para>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.</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-translate" role="function" condition="since:1.0">
-<title>cairo_matrix_translate&#160;()</title>
-<indexterm zone="cairo-matrix-translate" role="1.0"><primary sortas="matrix_translate">cairo_matrix_translate</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_translate (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> tx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> ty</parameter>);</programlisting>
-<para>Applies a translation by <parameter>tx</parameter>
-, <parameter>ty</parameter>
- to the transformation in
-<parameter>matrix</parameter>
-. The effect of the new transformation is to first translate
-the coordinates by <parameter>tx</parameter>
- and <parameter>ty</parameter>
-, then apply the original transformation
-to the coordinates.</para>
-<refsect3 id="cairo-matrix-translate.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>tx</para></entry>
-<entry role="parameter_description"><para>amount to translate in the X direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>ty</para></entry>
-<entry role="parameter_description"><para>amount to translate in the Y direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-scale" role="function" condition="since:1.0">
-<title>cairo_matrix_scale&#160;()</title>
-<indexterm zone="cairo-matrix-scale" role="1.0"><primary sortas="matrix_scale">cairo_matrix_scale</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_scale (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> sx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> sy</parameter>);</programlisting>
-<para>Applies scaling by <parameter>sx</parameter>
-, <parameter>sy</parameter>
- to the transformation in <parameter>matrix</parameter>
-. The
-effect of the new transformation is to first scale the coordinates
-by <parameter>sx</parameter>
- and <parameter>sy</parameter>
-, then apply the original transformation to the coordinates.</para>
-<refsect3 id="cairo-matrix-scale.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>sx</para></entry>
-<entry role="parameter_description"><para>scale factor in the X direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>sy</para></entry>
-<entry role="parameter_description"><para>scale factor in the Y direction</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-rotate" role="function" condition="since:1.0">
-<title>cairo_matrix_rotate&#160;()</title>
-<indexterm zone="cairo-matrix-rotate" role="1.0"><primary sortas="matrix_rotate">cairo_matrix_rotate</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_rotate (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> radians</parameter>);</programlisting>
-<para>Applies rotation by <parameter>radians</parameter>
- to the transformation in
-<parameter>matrix</parameter>
-. The effect of the new transformation is to first rotate the
-coordinates by <parameter>radians</parameter>
-, then apply the original transformation
-to the coordinates.</para>
-<refsect3 id="cairo-matrix-rotate.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>radians</para></entry>
-<entry role="parameter_description"><para>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.</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-invert" role="function" condition="since:1.0">
-<title>cairo_matrix_invert&#160;()</title>
-<indexterm zone="cairo-matrix-invert" role="1.0"><primary sortas="matrix_invert">cairo_matrix_invert</primary></indexterm>
-<programlisting language="C"><link linkend="cairo-status-t"><returnvalue>cairo_status_t</returnvalue></link>
-cairo_matrix_invert (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>);</programlisting>
-<para>Changes <parameter>matrix</parameter>
- to be the inverse of its original value. Not
-all transformation matrices have inverses; if the matrix
-collapses points together (it is <firstterm>degenerate</firstterm>),
-then it has no inverse and this function will fail.</para>
-<refsect3 id="cairo-matrix-invert.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><refsect3 id="cairo-matrix-invert.returns" role="returns">
-<title>Returns</title>
-<para> If <parameter>matrix</parameter>
-has an inverse, modifies <parameter>matrix</parameter>
-to
-be the inverse matrix and returns <link linkend="CAIRO-STATUS-SUCCESS:CAPS"><literal>CAIRO_STATUS_SUCCESS</literal></link>. Otherwise,
-returns <link linkend="CAIRO-STATUS-INVALID-MATRIX:CAPS"><literal>CAIRO_STATUS_INVALID_MATRIX</literal></link>.</para>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-multiply" role="function" condition="since:1.0">
-<title>cairo_matrix_multiply&#160;()</title>
-<indexterm zone="cairo-matrix-multiply" role="1.0"><primary sortas="matrix_multiply">cairo_matrix_multiply</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_multiply (<parameter><link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *result</parameter>,
- <parameter>const <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *a</parameter>,
- <parameter>const <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *b</parameter>);</programlisting>
-<para>Multiplies the affine transformations in <parameter>a</parameter>
- and <parameter>b</parameter>
- together
-and stores the result in <parameter>result</parameter>
-. The effect of the resulting
-transformation is to first apply the transformation in <parameter>a</parameter>
- to the
-coordinates and then apply the transformation in <parameter>b</parameter>
- to the
-coordinates.</para>
-<para>It is allowable for <parameter>result</parameter>
- to be identical to either <parameter>a</parameter>
- or <parameter>b</parameter>
-.</para>
-<refsect3 id="cairo-matrix-multiply.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>result</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> in which to store the result</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>a</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>b</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-transform-distance" role="function" condition="since:1.0">
-<title>cairo_matrix_transform_distance&#160;()</title>
-<indexterm zone="cairo-matrix-transform-distance" role="1.0"><primary sortas="matrix_transform_distance">cairo_matrix_transform_distance</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_transform_distance (<parameter>const <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> *dx</parameter>,
- <parameter><link linkend="double"><type>double</type></link> *dy</parameter>);</programlisting>
-<para>Transforms the distance vector (<parameter>dx</parameter>
-,<parameter>dy</parameter>
-) by <parameter>matrix</parameter>
-. This is
-similar to <link linkend="cairo-matrix-transform-point"><function>cairo_matrix_transform_point()</function></link> except that the translation
-components of the transformation are ignored. The calculation of
-the returned vector is as follows:</para>
-<programlisting>
-dx2 = dx1 * a + dy1 * c;
-dy2 = dx1 * b + dy1 * d;
-</programlisting>
-<para>Affine transformations are position invariant, so the same vector
-always transforms to the same vector. If (<parameter>x1</parameter>
-,<parameter>y1</parameter>
-) transforms
-to (<parameter>x2</parameter>
-,<parameter>y2</parameter>
-) then (<parameter>x1</parameter>
-+<parameter>dx1</parameter>
-,<parameter>y1</parameter>
-+<parameter>dy1</parameter>
-) will transform to
-(<parameter>x1</parameter>
-+<parameter>dx2</parameter>
-,<parameter>y1</parameter>
-+<parameter>dy2</parameter>
-) for all values of <parameter>x1</parameter>
- and <parameter>x2</parameter>
-.</para>
-<refsect3 id="cairo-matrix-transform-distance.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>dx</para></entry>
-<entry role="parameter_description"><para>X component of a distance vector. An in/out parameter</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>dy</para></entry>
-<entry role="parameter_description"><para>Y component of a distance vector. An in/out parameter</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-<refsect2 id="cairo-matrix-transform-point" role="function" condition="since:1.0">
-<title>cairo_matrix_transform_point&#160;()</title>
-<indexterm zone="cairo-matrix-transform-point" role="1.0"><primary sortas="matrix_transform_point">cairo_matrix_transform_point</primary></indexterm>
-<programlisting language="C"><link linkend="void"><returnvalue>void</returnvalue></link>
-cairo_matrix_transform_point (<parameter>const <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> *matrix</parameter>,
- <parameter><link linkend="double"><type>double</type></link> *x</parameter>,
- <parameter><link linkend="double"><type>double</type></link> *y</parameter>);</programlisting>
-<para>Transforms the point (<parameter>x</parameter>
-, <parameter>y</parameter>
-) by <parameter>matrix</parameter>
-.</para>
-<refsect3 id="cairo-matrix-transform-point.parameters" role="parameters">
-<title>Parameters</title>
-<informaltable role="parameters_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="parameters_name" colwidth="150px"/>
-<colspec colname="parameters_description"/>
-<colspec colname="parameters_annotations" colwidth="200px"/>
-<tbody>
-<row><entry role="parameter_name"><para>matrix</para></entry>
-<entry role="parameter_description"><para>a <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link></para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>x</para></entry>
-<entry role="parameter_description"><para>X position. An in/out parameter</para></entry>
-<entry role="parameter_annotations"></entry></row>
-<row><entry role="parameter_name"><para>y</para></entry>
-<entry role="parameter_description"><para>Y position. An in/out parameter</para></entry>
-<entry role="parameter_annotations"></entry></row>
-</tbody></tgroup></informaltable>
-</refsect3><para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-
-</refsect1>
-<refsect1 id="cairo-cairo-matrix-t.other_details" role="details">
-<title role="details.title">Types and Values</title>
-<refsect2 id="cairo-matrix-t" role="struct" condition="since:1.0">
-<title>cairo_matrix_t</title>
-<indexterm zone="cairo-matrix-t" role="1.0"><primary sortas="matrix_t">cairo_matrix_t</primary></indexterm>
-<programlisting language="C">typedef struct {
- double xx; double yx;
- double xy; double yy;
- double x0; double y0;
-} cairo_matrix_t;
-</programlisting>
-<para>A <link linkend="cairo-matrix-t"><type>cairo_matrix_t</type></link> 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:</para>
-<programlisting>
- x_new = xx * x + xy * y + x0;
- y_new = yx * x + yy * y + y0;
-</programlisting>
-<refsect3 id="cairo-matrix-t.members" role="struct_members">
-<title>Members</title>
-<informaltable role="struct_members_table" pgwide="1" frame="none">
-<tgroup cols="3">
-<colspec colname="struct_members_name" colwidth="300px"/>
-<colspec colname="struct_members_description"/>
-<colspec colname="struct_members_annotations" colwidth="200px"/>
-<tbody>
-<row role="member"><entry role="struct_member_name"><para><link linkend="double"><type>double</type></link>&#160;<structfield id="cairo-matrix-t.xx">xx</structfield>;</para></entry>
-<entry role="struct_member_description"><para>xx component of the affine transformation</para></entry>
-<entry role="struct_member_annotations"></entry>
-</row>
-<row role="member"><entry role="struct_member_name"><para><link linkend="double"><type>double</type></link>&#160;<structfield id="cairo-matrix-t.yx">yx</structfield>;</para></entry>
-<entry role="struct_member_description"><para>yx component of the affine transformation</para></entry>
-<entry role="struct_member_annotations"></entry>
-</row>
-<row role="member"><entry role="struct_member_name"><para><link linkend="double"><type>double</type></link>&#160;<structfield id="cairo-matrix-t.xy">xy</structfield>;</para></entry>
-<entry role="struct_member_description"><para>xy component of the affine transformation</para></entry>
-<entry role="struct_member_annotations"></entry>
-</row>
-<row role="member"><entry role="struct_member_name"><para><link linkend="double"><type>double</type></link>&#160;<structfield id="cairo-matrix-t.yy">yy</structfield>;</para></entry>
-<entry role="struct_member_description"><para>yy component of the affine transformation</para></entry>
-<entry role="struct_member_annotations"></entry>
-</row>
-<row role="member"><entry role="struct_member_name"><para><link linkend="double"><type>double</type></link>&#160;<structfield id="cairo-matrix-t.x0">x0</structfield>;</para></entry>
-<entry role="struct_member_description"><para>X translation component of the affine transformation</para></entry>
-<entry role="struct_member_annotations"></entry>
-</row>
-<row role="member"><entry role="struct_member_name"><para><link linkend="double"><type>double</type></link>&#160;<structfield id="cairo-matrix-t.y0">y0</structfield>;</para></entry>
-<entry role="struct_member_description"><para>Y translation component of the affine transformation</para></entry>
-<entry role="struct_member_annotations"></entry>
-</row>
-</tbody></tgroup></informaltable>
-</refsect3>
-<para role="since">Since: <link linkend="api-index-1.0">1.0</link></para></refsect2>
-
-</refsect1>
-<refsect1 id="cairo-cairo-matrix-t.see-also">
-<title>See Also</title>
-<para><link linkend="cairo-t"><type>cairo_t</type></link></para>
-
-</refsect1>
-
-</refentry>