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+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN"
+              "http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd">
+<refentry id="gluTessCallback">
+    <refmeta>
+        <refmetainfo>
+            <copyright>
+                <year>1991-2006</year>
+                <holder>Silicon Graphics, Inc.</holder>
+            </copyright>
+        </refmetainfo>
+        <refentrytitle>gluTessCallback</refentrytitle>
+        <manvolnum>3G</manvolnum>
+    </refmeta>
+    <refnamediv>
+        <refname>gluTessCallback</refname>
+        <refpurpose>define a callback for a tessellation object</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv><title>C Specification</title>
+        <funcsynopsis>
+            <funcprototype>
+                <funcdef>void <function>gluTessCallback</function></funcdef>
+                <paramdef>GLUtesselator* <parameter>tess</parameter></paramdef>
+                <paramdef>GLenum <parameter>which</parameter></paramdef>
+                <paramdef>_GLUfuncptr <parameter>CallBackFunc</parameter></paramdef>
+            </funcprototype>
+        </funcsynopsis>
+    </refsynopsisdiv>
+    <!-- eqn: ignoring delim $$ -->
+    <refsect1 id="parameters"><title>Parameters</title>
+        <variablelist>
+        <varlistentry>
+            <term><parameter>tess</parameter></term>
+            <listitem>
+                <para>
+                    Specifies the tessellation object (created with <citerefentry><refentrytitle>gluNewTess</refentrytitle></citerefentry>).
+                </para>
+            </listitem>
+        </varlistentry>
+        <varlistentry>
+            <term><parameter>which</parameter></term>
+            <listitem>
+                <para>
+                    Specifies the callback being defined. The following values are valid:
+                    <constant>GLU_TESS_BEGIN</constant>,
+                    <constant>GLU_TESS_BEGIN_DATA</constant>,
+                    <constant>GLU_TESS_EDGE_FLAG</constant>,
+                    <constant>GLU_TESS_EDGE_FLAG_DATA</constant>,
+                    <constant>GLU_TESS_VERTEX</constant>,
+                    <constant>GLU_TESS_VERTEX_DATA</constant>,
+                    <constant>GLU_TESS_END</constant>, 
+                    <constant>GLU_TESS_END_DATA</constant>, 
+                    <constant>GLU_TESS_COMBINE</constant>, 
+                    <constant>GLU_TESS_COMBINE_DATA</constant>,
+                    <constant>GLU_TESS_ERROR</constant>, and
+                    <constant>GLU_TESS_ERROR_DATA</constant>.
+                </para>
+            </listitem>
+        </varlistentry>
+        <varlistentry>
+            <term><parameter>CallBackFunc</parameter></term>
+            <listitem>
+                <para>
+                    Specifies the function to be called.
+                </para>
+            </listitem>
+        </varlistentry>
+        </variablelist>
+    </refsect1>
+    <refsect1 id="description"><title>Description</title>
+        <para>
+            <function>gluTessCallback</function> is used to indicate a callback to be used by a tessellation object.
+            If the specified callback is already defined, then it is replaced. If 
+            <parameter>CallBackFunc</parameter> is NULL, then the existing callback becomes undefined.
+        </para>
+        <para>
+            These callbacks are used by the tessellation object to describe how a 
+            polygon specified by the user is broken into triangles. Note that there 
+            are two versions of each callback: one with user-specified polygon data 
+            and one without. If both versions of a particular callback are specified, 
+            then the callback with user-specified polygon data will be used. Note 
+            that the <emphasis>polygon_data</emphasis> parameter used by some of the functions is
+            a copy of the pointer that was specified when 
+            <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The legal callbacks are as follows:
+        </para>
+        <variablelist>
+            <varlistentry>
+                <term><constant>GLU_TESS_BEGIN</constant></term>
+                <listitem>
+                    <para>
+                        The begin callback is invoked like <citerefentry><refentrytitle>glBegin</refentrytitle></citerefentry> to indicate the start of 
+                        a (triangle) primitive. The function takes a single argument of type
+                        GLenum. If the <constant>GLU_TESS_BOUNDARY_ONLY</constant> property is set to
+                        <constant>GLU_FALSE</constant>, then the argument is set to either
+                        <constant>GLU_TRIANGLE_FAN</constant>, <constant>GLU_TRIANGLE_STRIP</constant>, or <constant>GLU_TRIANGLES</constant>.
+                        If the <constant>GLU_TESS_BOUNDARY_ONLY</constant> property is set to <constant>GLU_TRUE</constant>,
+                        then the argument will be set to <constant>GLU_LINE_LOOP</constant>. The function
+                        prototype for this callback is:
+                        <programlisting>
+void begin( GLenum type );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_BEGIN_DATA</constant></term>
+                <listitem>
+                    <para>
+                        The same as the <constant>GLU_TESS_BEGIN</constant> callback except that it 
+                        takes an additional pointer argument. This pointer is identical to the 
+                        opaque pointer provided when
+                        <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The function prototype for this callback
+                        is:
+                        <programlisting>
+void beginData( GLenum type, void *polygon_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_EDGE_FLAG</constant></term>
+                <listitem>
+                    <para>
+                        The edge flag callback is similar to <citerefentry><refentrytitle>glEdgeFlag</refentrytitle></citerefentry>. The function
+                        takes a single boolean flag that indicates which edges lie on the
+                        polygon boundary. If the flag is <constant>GLU_TRUE</constant>, then each vertex
+                        that follows begins an edge that lies on the polygon boundary, that is,
+                        an edge that separates an interior region from an exterior one.
+                        If the flag is <constant>GLU_FALSE</constant>, then each vertex that follows begins an edge
+                        that lies in the polygon interior. The edge flag callback (if defined) is 
+                        invoked before the first vertex callback.
+                    </para>
+                    <para>
+                        Since triangle fans and triangle strips do not support edge flags, the begin 
+                        callback is not called with <constant>GLU_TRIANGLE_FAN</constant> or <constant>GLU_TRIANGLE_STRIP</constant>
+                        if a non-NULL edge flag callback is provided. (If the callback is
+                        initialized to NULL, there is no impact on performance). Instead, the fans and
+                        strips are converted to independent triangles. The function prototype
+                        for this callback is:
+                        <programlisting>
+void edgeFlag( GLboolean flag );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_EDGE_FLAG_DATA</constant></term>
+                <listitem>
+                    <para>
+                        The same as the <constant>GLU_TESS_EDGE_FLAG</constant> callback except that it takes an additional pointer
+                        argument. This pointer is identical to the opaque pointer provided when
+                        <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The function prototype for this callback
+                        is:
+                        <programlisting>
+void edgeFlagData( GLboolean flag, void *polygon_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_VERTEX</constant></term>
+                <listitem>
+                    <para>
+                        The vertex callback is invoked between the begin and end callbacks.
+                        It is similar to <citerefentry><refentrytitle>glVertex</refentrytitle></citerefentry>, and it defines the vertices of the triangles 
+                        created by the tessellation process. The function
+                        takes a pointer as its only argument.  This pointer is identical to
+                        the opaque pointer provided by the user when the vertex was described
+                        (see <citerefentry><refentrytitle>gluTessVertex</refentrytitle></citerefentry>). The function prototype for this callback is:
+                        <programlisting>
+void vertex( void *vertex_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_VERTEX_DATA</constant></term>
+                <listitem>
+                    <para>
+                        The same as the <constant>GLU_TESS_VERTEX</constant> callback except that it takes an additional pointer 
+                        argument. This pointer is identical to the opaque pointer provided when
+                        <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The function prototype for this callback
+                        is:
+                        <programlisting>
+void vertexData( void *vertex_data, void *polygon_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_END</constant></term>
+                <listitem>
+                    <para>
+                        The end callback serves the same purpose as <citerefentry><refentrytitle>glEnd</refentrytitle></citerefentry>. It indicates the 
+                        end of a primitive and it takes no arguments. The function prototype for this
+                        callback is:
+                        <programlisting>
+void end( void );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_END_DATA</constant></term>
+                <listitem>
+                    <para>
+                        The same as the <constant>GLU_TESS_END</constant> callback except that it takes an additional pointer 
+                        argument. This pointer is identical to the opaque pointer provided when
+                        <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The function prototype for this callback
+                        is:
+                        <programlisting>
+void endData( void *polygon_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_COMBINE</constant></term>
+                <listitem>
+                    <para>
+                        The combine callback is called to create a new vertex when the tessellation
+                        detects an intersection or wishes to merge features. The function takes
+                        four arguments: an array of three elements each of type GLdouble, an array 
+                        of four pointers, an array of four elements each of type GLfloat, and a 
+                        pointer to a pointer. The prototype is:
+                        <programlisting>
+void combine( GLdouble coords[3], void *vertex_data[4], 
+              GLfloat weight[4], void **outData );
+                        </programlisting>
+                    </para>
+                    <para>
+                        The vertex is defined as a linear combination of up to four existing vertices, 
+                        stored in <emphasis>vertex_data</emphasis>. The coefficients of the linear
+                        combination are given by <emphasis>weight</emphasis>; these weights always add up to 1.
+                        All vertex pointers are valid even when some of the weights are 0.
+                        <emphasis>coords</emphasis> gives the location of the new vertex.
+                    </para>
+                    <para>
+                        The user must allocate another vertex, interpolate parameters using 
+                        <emphasis>vertex_data</emphasis> and <emphasis>weight</emphasis>, and return the new vertex pointer in
+                        <emphasis>outData</emphasis>. This handle is supplied during rendering callbacks.
+                        The user is responsible for freeing the memory some time after 
+                        <citerefentry><refentrytitle>gluTessEndPolygon</refentrytitle></citerefentry> is called.
+                    </para>
+                    <para>
+                        For example, if the polygon lies in an arbitrary plane in 3-space,
+                        and a color is associated with each vertex, the
+                        <constant>GLU_TESS_COMBINE</constant> callback might look like this:
+                        <programlisting>
+void myCombine( GLdouble coords[3], VERTEX *d[4],
+                GLfloat w[4], VERTEX **dataOut )
+{
+   VERTEX *new = new_vertex();
+
+   new-&gt;x = coords[0];
+   new-&gt;y = coords[1];
+   new-&gt;z = coords[2];
+   new-&gt;r = w[0]*d[0]-&gt;r + w[1]*d[1]-&gt;r + w[2]*d[2]-&gt;r + w[3]*d[3]-&gt;r;
+   new-&gt;g = w[0]*d[0]-&gt;g + w[1]*d[1]-&gt;g + w[2]*d[2]-&gt;g + w[3]*d[3]-&gt;g;
+   new-&gt;b = w[0]*d[0]-&gt;b + w[1]*d[1]-&gt;b + w[2]*d[2]-&gt;b + w[3]*d[3]-&gt;b;
+   new-&gt;a = w[0]*d[0]-&gt;a + w[1]*d[1]-&gt;a + w[2]*d[2]-&gt;a + w[3]*d[3]-&gt;a;
+   *dataOut = new;
+}
+                        </programlisting>
+                    </para>
+                    <para>
+                        If the tessellation detects an intersection, then the <constant>GLU_TESS_COMBINE</constant> or 
+                        <constant>GLU_TESS_COMBINE_DATA</constant> callback (see below) must be defined, and it must 
+                        write a non-NULL pointer into <emphasis>dataOut</emphasis>. Otherwise the 
+                        <constant>GLU_TESS_NEED_COMBINE_CALLBACK</constant> error occurs, and no
+                        output is generated.
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_COMBINE_DATA</constant></term>
+                <listitem>
+                    <para>
+                        The same as the <constant>GLU_TESS_COMBINE</constant> callback except that it takes an additional pointer 
+                        argument. This pointer is identical to the opaque pointer provided when
+                        <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The function prototype for this callback
+                        is:
+                        <programlisting>
+void combineData( GLdouble coords[3], void *vertex_data[4], 
+                  GLfloat weight[4], void **outData, 
+                  void *polygon_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_ERROR</constant></term>
+                <listitem>
+                    <para>
+                        The error callback is called when an error is encountered. The one argument
+                        is of type GLenum; it indicates the specific error that occurred and will be
+                        set to one of <constant>GLU_TESS_MISSING_BEGIN_POLYGON</constant>, <constant>GLU_TESS_MISSING_END_POLYGON</constant>, 
+                        <constant>GLU_TESS_MISSING_BEGIN_CONTOUR</constant>, <constant>GLU_TESS_MISSING_END_CONTOUR</constant>, 
+                        <constant>GLU_TESS_COORD_TOO_LARGE</constant>, <constant>GLU_TESS_NEED_COMBINE_CALLBACK</constant>, or
+                        <constant>GLU_OUT_OF_MEMORY</constant>. Character
+                        strings describing these errors can be retrieved with the
+                        <citerefentry><refentrytitle>gluErrorString</refentrytitle></citerefentry> call. The function prototype for this callback is:
+                        <programlisting>
+void error( GLenum errno );
+                        </programlisting>
+                    </para>
+                    <para>
+                        The GLU library will recover from the first four
+                        errors by inserting the missing call(s).
+                        <constant>GLU_TESS_COORD_TOO_LARGE</constant> indicates that some vertex coordinate exceeded
+                        the predefined constant <constant>GLU_TESS_MAX_COORD</constant> in absolute value, and
+                        that the value has been clamped. (Coordinate values must be small
+                        enough so that two can be multiplied together without overflow.)
+                        <constant>GLU_TESS_NEED_COMBINE_CALLBACK</constant> indicates that the tessellation
+                        detected an intersection between two edges in the input data, and the
+                        <constant>GLU_TESS_COMBINE</constant> or <constant>GLU_TESS_COMBINE_DATA</constant> callback was
+                        not provided. No output is generated. <constant>GLU_OUT_OF_MEMORY</constant> indicates
+                        that there is not enough memory so no output is generated.
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term><constant>GLU_TESS_ERROR_DATA</constant></term>
+                <listitem>
+                    <para>
+                        The same as the <constant>GLU_TESS_ERROR</constant> callback except that it takes an additional pointer 
+                        argument. This pointer is identical to the opaque pointer provided when
+                        <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry> was called. The function prototype for this callback
+                        is:
+                        <programlisting>
+void errorData( GLenum errno, void *polygon_data );
+                        </programlisting>
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsect1>
+    <refsect1 id="example"><title>Example</title>
+        <para>
+            Polygons tessellated can be rendered directly like this:
+            <programlisting>
+gluTessCallback(tobj, GLU_TESS_BEGIN, glBegin);
+gluTessCallback(tobj, GLU_TESS_VERTEX, glVertex3dv);
+gluTessCallback(tobj, GLU_TESS_END, glEnd);
+gluTessCallback(tobj, GLU_TESS_COMBINE, myCombine);
+gluTessBeginPolygon(tobj, NULL);
+   gluTessBeginContour(tobj);
+      gluTessVertex(tobj, v, v);
+      ...
+   gluTessEndContour(tobj);
+gluTessEndPolygon(tobj);
+            </programlisting>
+            Typically, the tessellated polygon should be stored in a display list so that
+            it does not need to be retessellated every time it is rendered.
+        </para>
+    </refsect1>
+    <refsect1 id="seealso"><title>See Also</title>
+        <para>
+            <citerefentry><refentrytitle>gluErrorString</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>gluNewTess</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>gluTessBeginContour</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>gluTessBeginPolygon</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>gluTessNormal</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>gluTessProperty</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>gluTessVertex</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>glBegin</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>glEdgeFlag</refentrytitle></citerefentry>,
+            <citerefentry><refentrytitle>glVertex</refentrytitle></citerefentry>
+        </para>
+    </refsect1>
+    <refsect1 id="Copyright"><title>Copyright</title>
+        <para>
+            Copyright <trademark class="copyright"></trademark> 1991-2006
+            Silicon Graphics, Inc. This document is licensed under the SGI
+            Free Software B License. For details, see
+            <ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
+        </para>
+    </refsect1>
+</refentry>