Name

glMap1d, glMap1f - define a one-dimensional evaluator

Python Specification

glMap1d
	glMap1d(target, u1, u2, points[][]) -> None
glMap1f
	glMap1f(target, u1, u2, points[][]) -> None

C Specification

void glMap1d(	GLenum target,
              GLdouble u1,
              GLdouble u2,
              GLint stride,
              GLint order,
              const GLdouble *points )
void glMap1f(	GLenum target,
              GLfloat	u1,
              GLfloat	u2,
              GLint stride,
              GLint order,
              const GLfloat *points )

Parameters

target  Specifies the	kind of	values that are	generated by
        the evaluator.  Symbolic constants GL_MAP1_VERTEX_3,
        GL_MAP1_VERTEX_4, GL_MAP1_INDEX, GL_MAP1_COLOR_4,
        GL_MAP1_NORMAL, GL_MAP1_TEXTURE_COORD_1,
        GL_MAP1_TEXTURE_COORD_2, GL_MAP1_TEXTURE_COORD_3,
        and GL_MAP1_TEXTURE_COORD_4 are accepted.

u1, u2  Specify a linear mapping of u, as presented to
        glEvalCoord1,	to ^, the variable that	is evaluated
        by the equations specified by	this command.

stride  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
        points.  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.

order	  Specifies the	number of control points.  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 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 splines used in computer graphics:	B-
splines, Bezier curves, Hermite splines, and so on.

Evaluators define curves based on Bernstein polynomials.
Define p(^) as
                              n
                              R  n
                    p(^)  =  i=0Bi(^)Ri

where	R  is a	control	point and Bn(^)	is the ith Bernstein
polynomial of	degree n (order	= n+1):

                  n	     (n	 ) i	 n-i
                 Bi(^)  =  |	 |^ (1-^)
                           (i	 )
Recall that

                   0	       (n   )
                  0  = 1 and |    |  =  1
                             ( 0  )
glMap1 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.  glEvalCoord1 evaluates the one-dimensional maps that
are enabled.	When
glEvalCoord1 presents	a value	u, the Bernstein functions are
evaluated using ^, where

                       ^  =  _______
                             u2 - u1

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_MAP1_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_MAP1_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_MAP1_INDEX		   Each	control	point is a single
                         floating-point value	representing a
                         color index.	 Internal glIndex
                         commands are	generated when the map
                         is evaluated	but the	current	index
                         is not updated with the value of
                         these glIndex commands.

GL_MAP1_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
                         but the current color is not
                         updated with	the value of these
                         glColor4 commands.

GL_MAP1_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	but the	current	normal
                         is not updated with the value of
                         these glNormal commands.

GL_MAP1_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 but the
                         current texture coordinates are not
                         updated with	the value of these
                         glTexCoord commands.

GL_MAP1_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 but the
                         current texture coordinates are not
                         updated with	the value of these
                         glTexCoord commands.

GL_MAP1_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	but the	current
                         texture coordinates are not updated
                         with	the value of these glTexCoord
                         commands.

GL_MAP1_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 but the
                         current texture coordinates are not
                         updated with	the value of these
                         glTexCoord commands.

stride, order, 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.  order is the number	of control points in the
array.  stride specifies how many float or double locations
to advance the internal memory pointer to reach the next
control point.

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
glMap1 before	glMap1 returns.	 Changes to the	contents of
points have no effect	after glMap1 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.

GL_INVALID_VALUE is generated	if stride is less than the
number of values in a	control	point.

GL_INVALID_VALUE is generated	if order is less than 1	or
greater than the return value	of GL_MAX_EVAL_ORDER.

GL_INVALID_OPERATION is generated if glMap1 is executed
between the execution	of glBegin and the corresponding
execution of glEnd.

Associated Gets

glGetMap
glGet	with argument GL_MAX_EVAL_ORDER
glIsEnabled with argument GL_MAP1_VERTEX_3
glIsEnabled with argument GL_MAP1_VERTEX_4
glIsEnabled with argument GL_MAP1_INDEX
glIsEnabled with argument GL_MAP1_COLOR_4
glIsEnabled with argument GL_MAP1_NORMAL
glIsEnabled with argument GL_MAP1_TEXTURE_COORD_1
glIsEnabled with argument GL_MAP1_TEXTURE_COORD_2
glIsEnabled with argument GL_MAP1_TEXTURE_COORD_3
glIsEnabled with argument GL_MAP1_TEXTURE_COORD_4

See Also

glBegin, glColor, glEnable, glEvalCoord, glEvalMesh,
glEvalPoint, glMap2, glMapGrid, glNormal, glTexCoord,
glVertex

:: Documentation :: References :: GL ::
:: Index (n/a) ::