glMap2d function

Article
03/09/2021

The glMap2d and glMap2f functions define a two-dimensional evaluator.

Syntax

void WINAPI glMap2d(
         GLenum   target,
         GLdouble u1,
         GLdouble u2,
         GLint    ustride,
         GLint    uorder,
         GLdouble v1,
         GLdouble v2,
         GLint    vstride,
         GLint    vorder,
   const GLdouble *points
);

Parameters

target

The kind of values that are generated by the evaluator. The following symbolic constants are accepted.

Value	Meaning
GL_MAP2_VERTEX_3	Each control point is three floating-point values representing x, y, and z. Internal glVertex3 commands are generated when the map is evaluated.
GL_MAP2_VERTEX_4	Each control point is four floating-point values representing x, y, z, and w. Internal glVertex4 commands are generated when the map is evaluated.
GL_MAP2_INDEX	Each control point is a single floating-point value representing a color index. Internal glIndex commands are generated when the map is evaluated. The current index is not updated with the value of these glIndex commands, however.
GL_MAP2_COLOR_4	Each control point is four floating-point values representing red, green, blue, and alpha. Internal glColor4 commands are generated when the map is evaluated. The current color is not updated with the value of these glColor4 commands, however.
GL_MAP2_NORMAL	Each control point is three floating-point values representing the x, y, and z components of a normal vector. Internal glNormal commands are generated when the map is evaluated. The current normal is not updated with the value of these glNormal commands, however.
GL_MAP2_TEXTURE_COORD_1	Each control point is a single floating-point value representing the s texture coordinate. Internal glTexCoord1 commands are generated when the map is evaluated. The current texture coordinates are not updated with the value of these glTexCoord commands, however.
GL_MAP2_TEXTURE_COORD_2	Each control point is two floating-point values representing the s and t texture coordinates. Internal glTexCoord2 commands are generated when the map is evaluated. The current texture coordinates are not updated with the value of these glTexCoord commands, however.
GL_MAP2_TEXTURE_COORD_3	Each control point is three floating-point values representing the s, t, and r texture coordinates. Internal glTexCoord3 commands are generated when the map is evaluated. The current texture coordinates are not updated with the value of these glTexCoord commands, however.
GL_MAP2_TEXTURE_COORD_4	Each control point is four floating-point values representing the s, t, r, and q texture coordinates. Internal glTexCoord4 commands are generated when the map is evaluated. The current texture coordinates are not updated with the value of these glTexCoord commands, however.

u1

A linear mapping of u, as presented to glEvalCoord2, to u^, one of the two variables that is evaluated by the equations specified by this command.

u2

A linear mapping of u, as presented to glEvalCoord2, to u^, one of the two variables that is evaluated by the equations specified by this command.

ustride

The number of floats or doubles between the beginning of control point R ij and the beginning of control point R _{(i\ +1\ )\ j}, where i and j are the u and v control point indexes, respectively. 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.

uorder

The dimension of the control point array in the u-axis. Must be positive.

v1

A linear mapping of v, as presented to glEvalCoord2, to v^, one of the two variables that is evaluated by the equations specified by this command.

v2

A linear mapping of v, as presented to glEvalCoord2, to v^, one of the two variables that is evaluated by the equations specified by this command.

vstride

The number of floats or doubles between the beginning of control point R ij and the beginning of control point R _{i(j\ +1\ )}, where i and j are the u and v control point indexes, respectively. 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.

vorder

The dimension of the control point array in the v-axis. Must be positive.

points

A pointer to the array of control points.

Return value

This function does not return a value.

Error codes

The following error codes can be retrieved by the glGetError function.

Name	Meaning
GL_INVALID_ENUM	target was not an accepted value.
GL_INVALID_VALUE	u1 was equal to u2, or v1 was equal to v2.
GL_INVALID_VALUE	Either ustride or vstride was less than the number of values in a control point.
GL_INVALID_VALUE	Either uorder or vorder was less than one or GL_MAX_EVAL_ORDER.
GL_INVALID_OPERATION	The function was called between a call to glBegin and the corresponding call to glEnd.

Remarks

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 on to further stages of OpenGL processing just as if they had been presented using glVertex, glNormal, glTexCoord, and glColor commands, except that the generated values do not update the current normal, texture coordinates, or color.

All polynomial or rational polynomial splines of any degree (up to the maximum degree supported by the OpenGL implementation) can be described using evaluators. These include almost all surfaces used in computer graphics, including B-spline surfaces, NURBS surfaces, Bezier surfaces, and so on.

Evaluators define surfaces based on bivariate Bernstein polynomials. Define p (u^,v^) as

Equation showing the definition of p ().

where R ij is a control point, () is the ith Bernstein polynomial of degree

n (uorder = n + 1)

Equation showing the Bernstein polynomial of degree n.

and () is the jth Bernstein polynomial of degree m (vorder = m + 1)

Equation showing the Bernstein polynomial of degree m.

Recall that

Equations showing equivalence to 1.

The glMap2 function 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 glEnable and glDisable with the map name, one of the nine predefined values for target, described above. When glEvalCoord2 presents values u and v, the bivariate Bernstein polynomials are evaluated using u^ and v^, where

Equation showing the definition of u^.

and

Equation showing the definition of v^.

The target parameter is a symbolic constant that indicates what kind of control points are provided in points, and what output is generated when the map is evaluated.

The ustride, uorder, vstride, vorder, and points parameters define the array addressing for accessing the control points. The points parameter 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. There are uorder x vorder control points in the array. The ustride parameter tells how many float or double locations are skipped to advance the internal memory pointer from control point R ij to control point R _{(\ i+1\ )j}. The vstride parameter tells how many float or double locations are skipped to advance the internal memory pointer from control point R ij to control point R_{i(j\ +1\ )}.

As is the case with all OpenGL commands that accept pointers to data, it is as if the contents of points were copied by glMap2 before it returned. Changes to the contents of points have no effect after glMap2 is called.

The following functions retrieve information related to glMap2:

glGet with argument GL_MAX_EVAL_ORDER

glGetMap

glIsEnabled with argument GL_MAP2_VERTEX_3

glIsEnabled with argument GL_MAP2_VERTEX_4

glIsEnabled with argument GL_MAP2_INDEX

glIsEnabled with argument GL_MAP2_COLOR_4

glIsEnabled with argument GL_MAP2_NORMAL

glIsEnabled with argument GL_MAP2_TEXTURE_COORD_1

glIsEnabled with argument GL_MAP2_TEXTURE_COORD_2

glIsEnabled with argument GL_MAP2_TEXTURE_COORD_3

glIsEnabled with argument GL_MAP2_TEXTURE_COORD_4

Requirements

Requirement	Value
Minimum supported client	Windows 2000 Professional [desktop apps only]
Minimum supported server	Windows 2000 Server [desktop apps only]
Header	Gl.h
Library	Opengl32.lib
DLL	Opengl32.dll

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