glMap2
NAME
glMap2d, glMap2f -- define a two-dimensional evaluator
C SPECIFICATION
void glMap2d(GLenum target,
GLdouble u1,
GLdouble u2,
GLint ustride,
GLint uorder,
GLdouble v1,
GLdouble v2,
GLint vstride,
GLint vorder,
const GLdouble *points)
void glMap2f(GLenum target,
GLdouble u1,
GLdouble u2,
GLint ustride,
GLint uorder,
GLdouble v1,
GLdouble v2,
GLint vstride,
GLint vorder,
const GLfloat *points)
PARAMETERS
- target
-
Specifies the kind of values that are generated by the evaluator.
Symbolic constants GL_MAP2_VERTEX_3, GL_MAP2_VERTEX_4,
GL_MAP2_INDEX, GL_MAP2_COLOR_4, GL_MAP2_NORMAL,
GL_MAP2_TEXTURE_COORD_1, GL_MAP2_TEXTURE_COORD_2,
GL_MAP2_TEXTURE_COORD_3, and GL_MAP2_TEXTURE_COORD_4
are accepted.
- u1, u2
-
Specify 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
-
Specifies the number of floats or doubles between the beginning
of control point Rij and the beginning of control point
R(i+1)j, where i and j are the
u and v control point indices, 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
-
Specifies the dimension of the control point array in the u
axis. Must be positive.
- v1, v2
-
Specify 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
-
Specifies the number of floats or doubles between the beginning
of control point Rij and the beginning of control point
Ri(j+1), where i and j are the
u and v control point indices, 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
-
Specifies the dimension of the control point array in the v
axis. Must be positive.
- points
-
Specifies a pointer to the array of control points.
DESCRIPTION
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 GL 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 GL 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
where Rij is a control point, Bni(u^) is the
ith Bernstein polynomial of degree n
(uorder = n + 1)
and Bmj(v^) is the jth Bernstein polynomial of degree
m (vorder = m + 1)
Recall that
glMap2 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 below. When
glEvalCoord2 presents values
u and v, the bivariate Bernstein polynomials are evaluated
using u^ and v^, where
target 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. It can assume one of nine predefined values:
- 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
glTexCoord1 commands,
however.
- GL_MAP2_TEXTURE_COORD_2
-
Each control point is a single floating-point value 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 a single floating-point value 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 a single floating-point value 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.
ustride, uorder, vstride, vorder, and points
define the array addressing for accessing the control points. points 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 * vorder control points in the array.
ustride tells how many float or double locations are skipped to advance
the internal memory pointer from control point Rij to control point
R(i+1)j. vstride tells how many
float or double locations are skipped to advance the internal memory pointer
from control point Rij to control point Ri(j+1).
NOTES
As is the case with all GL 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.
ERRORS
GL_INVALID_ENUM is generated if target is not an accepted
value.
GL_INVALID_VALUE is generated if u1 is equal to u2, or
if v1is equal to v2.
GL_INVALID_VALUE is generated if either ustride or vstride
is less than the number of values in a control point.
GL_INVALID_VALUE is generated if either uorder or vorder
is less than one or greater than GL_MAX_VAL_ORDER.
GL_INVALID_OPERATION is generated if glMap2 is called between
a call to glBegin and the corresponding
call to glEnd.
ASSOCIATED GETS
glGetMap
glGet with argument
GL_MAX_VAL_ORDER
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
SEE ALSO
glBegin,
glColor,
glEnable,
glEvalCoord,
glEvalMesh,
glEvalPoint,
glMap1,
glMapGrid,
glNormal,
glTexCoord,
glVertex
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© 1995 Uwe Behrens. All rights reserved.