<!-- ##### SECTION Title ##### --> cairo_matrix_t <!-- ##### SECTION Short_Description ##### --> Generic matrix operations <!-- ##### SECTION Long_Description ##### --> <para> #cairo_matrix_t is used throughout cairo to convert between different coordinate spaces. A #cairo_matrix_t 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 #cairo_t, represented as a #cairo_matrix_t, defines the transformation from user-space coordinates to device-space coordinates. See cairo_get_matrix() and cairo_set_matrix(). </para> <!-- ##### SECTION See_Also ##### --> <para> <itemizedlist> <listitem>#cairo_t</listitem> </itemizedlist> </para> <!-- ##### SECTION Stability_Level ##### --> <!-- ##### STRUCT cairo_matrix_t ##### --> <para> </para> @xx: @yx: @xy: @yy: @x0: @y0: <!-- ##### FUNCTION cairo_matrix_init ##### --> <para> </para> @matrix: @xx: @yx: @xy: @yy: @x0: @y0: <!-- ##### FUNCTION cairo_matrix_init_identity ##### --> <para> </para> @matrix: <!-- ##### FUNCTION cairo_matrix_init_translate ##### --> <para> </para> @matrix: @tx: @ty: <!-- ##### FUNCTION cairo_matrix_init_scale ##### --> <para> </para> @matrix: @sx: @sy: <!-- ##### FUNCTION cairo_matrix_init_rotate ##### --> <para> </para> @matrix: @radians: <!-- ##### FUNCTION cairo_matrix_translate ##### --> <para> </para> @matrix: @tx: @ty: <!-- ##### FUNCTION cairo_matrix_scale ##### --> <para> </para> @matrix: @sx: @sy: <!-- ##### FUNCTION cairo_matrix_rotate ##### --> <para> </para> @matrix: @radians: <!-- ##### FUNCTION cairo_matrix_invert ##### --> <para> </para> @matrix: @Returns: <!-- ##### FUNCTION cairo_matrix_multiply ##### --> <para> </para> @result: @a: @b: <!-- ##### FUNCTION cairo_matrix_transform_distance ##### --> <para> </para> @matrix: @dx: @dy: <!-- ##### FUNCTION cairo_matrix_transform_point ##### --> <para> </para> @matrix: @x: @y: