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<?xml version="1.0" encoding="ISO-8859-1"?>
<!DOCTYPE html
PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd">
<html
xmlns="http://www.w3.org/1999/xhtml"
xmlns:mml="http://www.w3.org/1998/Math/MathML"
><head><title>glMap1</title><link rel="stylesheet" href="style.css" type="text/css"/><meta name="generator" content="DocBook XSL Stylesheets V1.59.1"/><link rel="home" href="index.xml" title="PyOpenGL 2.0.1.07 Man Pages"/><link rel="up" href="reference-GL.xml" title="GL"/><link rel="previous" href="glLogicOp.3G.xml" title="glLogicOp"/><link rel="next" href="glMap2.3G.xml" title="glMap2"/></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">glMap1</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="glLogicOp.3G.xml">Prev</a></td><th width="60%" align="center">GL</th><td width="20%" align="right"><a accesskey="n" href="glMap2.3G.xml">Next</a></td></tr></table><hr/></div><div class="refentry" lang="en"><a name="glMap1.3G"/><div class="titlepage"/><div class="refnamediv"><a name="glMap1.3G-name"/><h2>Name</h2><p>glMap1d, glMap1f — define a one-dimensional evaluator</p></div><div class="refsynopsisdiv"><a name="glMap1.3G-c_spec"/><h2>C Specification</h2><table class="funcprototype" border="0" cellpadding="0" cellspacing="0"><tr><td valign="top"><code>void<tt>glMap1d</tt></code></td><td valign="top"><code>(</code></td><td valign="top"><code>GLenum<i><tt>target</tt></i>, GLdouble<i><tt>u1</tt></i>, GLdouble<i><tt>u2</tt></i>, GLint<i><tt>stride</tt></i>, GLint<i><tt>order</tt></i>, constGLdouble*<i><tt>points</tt></i>);</code></td></tr><tr><td valign="top"><code>void<tt>glMap1f</tt></code></td><td valign="top"><code>(</code></td><td valign="top"><code>GLenum<i><tt>target</tt></i>, GLfloat<i><tt>u1</tt></i>, GLfloat<i><tt>u2</tt></i>, GLint<i><tt>stride</tt></i>, GLint<i><tt>order</tt></i>, constGLfloat*<i><tt>points</tt></i>);</code></td></tr></table></div><div class="refsynopsisdiv"><a name="glMap1.3G-python_spec"/><h2>Python Specification</h2><table class="funcprototype" border="0" cellpadding="0" cellspacing="0"><tr><td valign="top"><code><tt>glMap1d</tt></code></td><td valign="top"><code>(</code></td><td valign="top"><code><i><tt>target</tt></i>, <i><tt>u1</tt></i>, <i><tt>u2</tt></i>, <i><tt>points</tt></i>[][]) →<tt>None</tt></code></td></tr><tr><td valign="top"><code><tt>glMap1f</tt></code></td><td valign="top"><code>(</code></td><td valign="top"><code><i><tt>target</tt></i>, <i><tt>u1</tt></i>, <i><tt>u2</tt></i>, <i><tt>points</tt></i>[][]) →<tt>None</tt></code></td></tr></table></div><div class="refsect1" lang="en"><a name="glMap1.3G-parameters"/><h2>Parameters</h2><div class="variablelist"><dl><dt><span class="term"><i><tt>target</tt></i></span></dt><dd>
Specifies the kind of values that are generated by the evaluator. Symbolic constants
<tt>GL_MAP1_VERTEX_3</tt>, <tt>GL_MAP1_VERTEX_4</tt>,
<tt>GL_MAP1_INDEX</tt>, <tt>GL_MAP1_COLOR_4</tt>,
<tt>GL_MAP1_NORMAL</tt>, <tt>GL_MAP1_TEXTURE_COORD_1</tt>,
<tt>GL_MAP1_TEXTURE_COORD_2</tt>, <tt>GL_MAP1_TEXTURE_COORD_3</tt>, and
<tt>GL_MAP1_TEXTURE_COORD_4</tt> are accepted.
</dd><dt><span class="term"><i><tt>u1</tt></i>, <i><tt>u2</tt></i></span></dt><dd>
Specify a linear mapping of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>u</mml:mi>
</mml:math>, as presented to <tt>glEvalCoord1</tt>, to
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:math>, the variable that is evaluated by the equations specified by this command.
</dd><dt><span class="term"><i><tt>stride</tt></i></span></dt><dd>
Specifies the number of floats or doubles between the beginning of one control point and the beginning of
the next one in the data structure referenced in <i><tt>points</tt></i>. This allows control points
to be embedded in arbitrary data structures. The only constraint is that the values for a particular
control point must occupy contiguous memory locations.
</dd><dt><span class="term"><i><tt>order</tt></i></span></dt><dd>
Specifies the number of control points. Must be positive.
</dd><dt><span class="term"><i><tt>points</tt></i></span></dt><dd>
Specifies a pointer to the array of control points.
</dd></dl></div></div><div class="refsect1" lang="en"><a name="glMap1.3G-description"/><h2>Description</h2><p>
Evaluators provide a way to use polynomial or rational polynomial mapping to produce vertices, normals, texture
coordinates, and colors. The values produced by an evaluator are sent to further stages of GL processing just as if
they had been presented using <tt>glVertex</tt>, <tt>glNormal</tt>, <tt>glTexCoord</tt>, and <tt>glColor</tt> commands, except that the generated values do not update the current normal,
texture coordinates, or color.
</p><p>
All polynomial or rational polynomial splines of any degree (up to the maximum degree supported by the GL
implementation) can be described using evaluators. These include almost all splines used in computer graphics:
B-splines, Bezier curves, Hermite splines, and so on.
</p><p>
Evaluators define curves based on Bernstein polynomials. Define <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>p</mml:mi>
<mml:mfenced separator=",">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:mfenced>
</mml:math> as
</p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" mode="display" overflow="scroll">
<mml:mi>p</mml:mi>
<mml:mfenced separator=",">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:munderover>
<mml:mo>∑</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msubsup>
<mml:mi>B</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
<mml:mfenced separator=",">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:mfenced>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math></div><p>
where <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math> is a control point and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:msubsup>
<mml:mi>B</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
<mml:mfenced separator=",">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:mfenced>
</mml:math> is the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>i</mml:mi>
</mml:math>th Bernstein polynomial of degree <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>n</mml:mi>
</mml:math> (<i><tt>order</tt></i> = <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>n</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:math>):
</p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" mode="display" overflow="scroll">
<mml:msubsup>
<mml:mi>B</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
<mml:mfenced separator=",">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mfenced separator=",">
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mi>n</mml:mi>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>i</mml:mi>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mfenced>
<mml:msup>
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msup>
<mml:msup>
<mml:mfenced separator=",">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>-</mml:mo>
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>-</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math></div><p>
Recall that
</p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" mode="display" overflow="scroll">
<mml:msup>
<mml:mn>0</mml:mn>
<mml:mn>0</mml:mn>
</mml:msup>
<mml:mo>≡</mml:mo>
<mml:mn>1</mml:mn>
<mml:mtext> and </mml:mtext>
<mml:mfenced separator=",">
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mi>n</mml:mi>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mn>0</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mfenced>
<mml:mo>≡</mml:mo>
<mml:mn>1</mml:mn>
</mml:math></div><p>
<tt>glMap1</tt> is used to define the basis and to specify what kind of values are
produced. Once defined, a map can be enabled and disabled by calling <a href="glEnable.3G.xml"><tt>glEnable</tt></a>
and <a href="glEnable.3G.xml"><tt>glDisable</tt></a> with the map name, one of the nine predefined values for
<i><tt>target</tt></i> described below. <tt>glEvalCoord1</tt> evaluates the
one-dimensional maps that are enabled. When
</p><p>
<tt>glEvalCoord1</tt> presents a value <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>u</mml:mi>
</mml:math>, the Bernstein functions are evaluated using <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
</mml:math>, where
</p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" mode="display" overflow="scroll">
<mml:mover>
<mml:mi>u</mml:mi>
<mml:mo>̂</mml:mo>
</mml:mover>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mo>-</mml:mo>
<mml:mi>u1</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>u2</mml:mi>
<mml:mo>-</mml:mo>
<mml:mi>u1</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:math></div><p>
<i><tt>target</tt></i> is a symbolic constant that indicates what kind of control points are provided in
<i><tt>points</tt></i>, and what output is generated when the map is evaluated. It can assume one of nine
predefined values:
</p><div class="variablelist"><dl><dt><span class="term"><tt>GL_MAP1_VERTEX_3</tt></span></dt><dd>
Each control point is three floating-point values representing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>x</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>y</mml:mi>
</mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>z</mml:mi>
</mml:math>. Internal <tt>glVertex3</tt> commands are generated when
the map is evaluated.
</dd><dt><span class="term"><tt>GL_MAP1_VERTEX_4</tt></span></dt><dd>
Each control point is four floating-point values representing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>x</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>y</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>z</mml:mi>
</mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>w</mml:mi>
</mml:math>. Internal <tt>glVertex4</tt> commands are generated when
the map is evaluated.
</dd><dt><span class="term"><tt>GL_MAP1_INDEX</tt></span></dt><dd>
Each control point is a single floating-point value representing a color index. Internal <tt>glIndex</tt> commands are generated when the map is evaluated but the current
index is not updated with the value of these <tt>glIndex</tt> commands.
</dd><dt><span class="term"><tt>GL_MAP1_COLOR_4</tt></span></dt><dd>
Each control point is four floating-point values representing red, green, blue, and alpha. Internal
<tt>glColor4</tt> commands are generated when the map is evaluated but the
current color is not updated with the value of these <tt>glColor4</tt>
commands.
</dd><dt><span class="term"><tt>GL_MAP1_NORMAL</tt></span></dt><dd>
Each control point is three floating-point values representing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>x</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>y</mml:mi>
</mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>z</mml:mi>
</mml:math> components of a normal vector. Internal <tt>glNormal</tt>
commands are generated when the map is evaluated but the current normal is not updated with the value of
these <tt>glNormal</tt> commands.
</dd><dt><span class="term"><tt>GL_MAP1_TEXTURE_COORD_1</tt></span></dt><dd>
Each control point is a single floating-point value representing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>s</mml:mi>
</mml:math> texture coordinate. Internal
</dd></dl></div><p>
<tt>glTexCoord1</tt> commands are generated when the map is evaluated but the current
texture coordinates are not updated with the value of these <tt>glTexCoord</tt>
commands.
</p><div class="variablelist"><dl><dt><span class="term"><tt>GL_MAP1_TEXTURE_COORD_2</tt></span></dt><dd>
Each control point is two floating-point values representing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>s</mml:mi>
</mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>t</mml:mi>
</mml:math> texture coordinates. Internal
</dd></dl></div><p>
<tt>glTexCoord2</tt> commands are generated when the map is evaluated but the current
texture coordinates are not updated with the value of these <tt>glTexCoord</tt>
commands.
</p><div class="variablelist"><dl><dt><span class="term"><tt>GL_MAP1_TEXTURE_COORD_3</tt></span></dt><dd>
Each control point is three floating-point values representing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>s</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>t</mml:mi>
</mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>r</mml:mi>
</mml:math> texture coordinates. Internal <tt>glTexCoord3</tt>
commands are generated when the map is evaluated but the current texture coordinates are not updated with
the value of these <tt>glTexCoord</tt> commands.
</dd><dt><span class="term"><tt>GL_MAP1_TEXTURE_COORD_4</tt></span></dt><dd>
Each control point is four floating-point values representing the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>s</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>t</mml:mi>
</mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>r</mml:mi>
</mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>q</mml:mi>
</mml:math> texture coordinates. Internal
</dd></dl></div><p>
<tt>glTexCoord4</tt> commands are generated when the map is evaluated but the current
texture coordinates are not updated with the value of these <tt>glTexCoord</tt>
commands.
</p><p>
<i><tt>stride</tt></i>, <i><tt>order</tt></i>, and <i><tt>points</tt></i> define the array
addressing for accessing the control points. <i><tt>points</tt></i> is the location of the first control point,
which occupies one, two, three, or four contiguous memory locations, depending on which map is being defined.
<i><tt>order</tt></i> is the number of control points in the array. <i><tt>stride</tt></i> specifies how
many float or double locations to advance the internal memory pointer to reach the next control point.
</p></div><div class="refsect1" lang="en"><a name="glMap1.3G-notes"/><h2>Notes</h2><p>
As is the case with all GL commands that accept pointers to data, it is as if the contents of
<i><tt>points</tt></i> were copied by <tt>glMap1</tt> before <tt>glMap1</tt> returns. Changes to the contents of <i><tt>points</tt></i> have no effect
after <tt>glMap1</tt> is called.
</p></div><div class="refsect1" lang="en"><a name="glMap1.3G-errors"/><h2>Errors</h2><p>
<tt>GL_INVALID_ENUM</tt> is generated if <i><tt>target</tt></i> is not an accepted value.
</p><p>
<tt>GL_INVALID_VALUE</tt> is generated if <i><tt>u1</tt></i> is equal to <i><tt>u2</tt></i>.
</p><p>
<tt>GL_INVALID_VALUE</tt> is generated if <i><tt>stride</tt></i> is less than the number of values
in a control point.
</p><p>
<tt>GL_INVALID_VALUE</tt> is generated if <i><tt>order</tt></i> is less than 1 or greater than the
return value of <tt>GL_MAX_EVAL_ORDER</tt>.
</p><p>
<tt>GL_INVALID_OPERATION</tt> is generated if <tt>glMap1</tt> is executed
between the execution of <a href="glBegin.3G.xml"><tt>glBegin</tt></a> and the corresponding execution of <a href="glBegin.3G.xml"><tt>glEnd</tt></a>.
</p><p>
When the <tt>GL_ARB_multitexture</tt> extension is supported, <tt>GL_INVALID_OPERATION</tt> is
generated if <tt>glMap1</tt> is called and the value of
<tt>GL_ACTIVE_TEXTURE_ARB</tt> is not <tt>GL_TEXTURE0_ARB</tt>.
</p></div><div class="refsect1" lang="en"><a name="glMap1.3G-associated_gets"/><h2>Associated Gets</h2><p>
<tt>glGetMap</tt>
</p><p>
<tt>glGet</tt> with argument <tt>GL_MAX_EVAL_ORDER</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_VERTEX_3</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_VERTEX_4</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_INDEX</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_COLOR_4</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_NORMAL</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_TEXTURE_COORD_1</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_TEXTURE_COORD_2</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_TEXTURE_COORD_3</tt>
</p><p>
<a href="glIsEnabled.3G.xml"><tt>glIsEnabled</tt></a> with argument <tt>GL_MAP1_TEXTURE_COORD_4</tt>
</p></div><div class="refsect1" lang="en"><a name="glMap1.3G-see_also"/><h2>See Also</h2><p>
<span class="simplelist"><a href="glBegin.3G.xml">glBegin</a>, <a href="glColor.3G.xml">glColor</a>, <a href="glEnable.3G.xml">glEnable</a>, <a href="glEvalCoord.3G.xml">glEvalCoord</a>, <a href="glEvalMesh.3G.xml">glEvalMesh</a>, <a href="glEvalPoint.3G.xml">glEvalPoint</a>, <a href="glMap2.3G.xml">glMap2</a>, <a href="glMapGrid.3G.xml">glMapGrid</a>, <a href="glNormal.3G.xml">glNormal</a>, <a href="glTexCoord.3G.xml">glTexCoord</a>, <a href="glVertex.3G.xml">glVertex</a></span>
</p></div></div><div class="navfooter"><hr/><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="glLogicOp.3G.xml">Prev</a></td><td width="20%" align="center"><a accesskey="u" href="reference-GL.xml">Up</a></td><td width="40%" align="right"><a accesskey="n" href="glMap2.3G.xml">Next</a></td></tr><tr><td width="40%" align="left" valign="top">glLogicOp</td><td width="20%" align="center"><a accesskey="h" href="index.xml">Home</a></td><td width="40%" align="right" valign="top">glMap2</td></tr></table></div></body></html>
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