fglMap1(3G)

fglMap1d, fglMap1f - define a one-dimensional evaluator

As shipped in IRIX 6.5.22. Last changed in IRIX 6.5.15.

NAME
     fglMap1d, fglMap1f - define a one-dimensional evaluator


FORTRAN SPECIFICATION
     SUBROUTINE fglMap1d( INTEGER*4 target,
                          REAL*4 u1,
                          REAL*4 u2,
                          INTEGER*4 stride,
                          INTEGER*4 order,
                          CHARACTER*8 points )
     SUBROUTINE fglMap1f( INTEGER*4 target,
                          REAL*4 u1,
                          REAL*4 u2,
                          INTEGER*4 stride,
                          INTEGER*4 order,
                          CHARACTER*8 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 fglEvalCoord1, 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 fglVertex, fglNormal,
     fglTexCoord, and fglColor 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(^)  =       B (^)R
                                         i=0   i    i

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

                                       (   )
                              n         n    i     n-i
                             B (^)  =  |   |^ (1-^)
                              i
                                       (i  )


     Recall that

                                         (    )
                               0          n
                              0  = 1 and |    |  =  1

                                         ( 0  )


     fglMap1 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
     fglEnable and fglDisable with the map name, one of the nine predefined
     values for target described below.  fglEvalCoord1 evaluates the one-
     dimensional maps that are enabled.  When fglEvalCoord1 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
                              fglVertex3 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
                              fglVertex4 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
                              fglIndex commands are generated when the map is
                              evaluated but the current index is not updated
                              with the value of these fglIndex commands.
     GL_MAP1_COLOR_4          Each control point is four floating-point values
                              representing red, green, blue, and alpha.
                              Internal fglColor4 commands are generated when
                              the map is evaluated but the current color is
                              not updated with the value of these fglColor4
                              commands.

     GL_MAP1_NORMAL           Each control point is three floating-point
                              values representing the x, y, and z components
                              of a normal vector.  Internal fglNormal commands
                              are generated when the map is evaluated but the
                              current normal is not updated with the value of
                              these fglNormal commands.

     GL_MAP1_TEXTURE_COORD_1  Each control point is a single floating-point
                              value representing the s texture coordinate.
                              Internal fglTexCoord1 commands are generated
                              when the map is evaluated but the current
                              texture coordinates are not updated with the
                              value of these fglTexCoord commands.

     GL_MAP1_TEXTURE_COORD_2  Each control point is two floating-point values
                              representing the s and t texture coordinates.
                              Internal fglTexCoord2 commands are generated
                              when the map is evaluated but the current
                              texture coordinates are not updated with the
                              value of these fglTexCoord commands.

     GL_MAP1_TEXTURE_COORD_3  Each control point is three floating-point
                              values representing the s, t, and r texture
                              coordinates.  Internal fglTexCoord3 commands are
                              generated when the map is evaluated but the
                              current texture coordinates are not updated with
                              the value of these fglTexCoord commands.

     GL_MAP1_TEXTURE_COORD_4  Each control point is four floating-point values
                              representing the s, t, r, and q texture
                              coordinates.  Internal fglTexCoord4 commands are
                              generated when the map is evaluated but the
                              current texture coordinates are not updated with
                              the value of these fglTexCoord 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 fglMap1 before fglMap1
     returns.  Changes to the contents of points have no effect after fglMap1
     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 fglMap1 is executed between the
     execution of fglBegin and the corresponding execution of fglEnd.

ASSOCIATED GETS
     fglGetMap
     fglGet with argument GL_MAX_EVAL_ORDER
     fglIsEnabled with argument GL_MAP1_VERTEX_3
     fglIsEnabled with argument GL_MAP1_VERTEX_4
     fglIsEnabled with argument GL_MAP1_INDEX
     fglIsEnabled with argument GL_MAP1_COLOR_4
     fglIsEnabled with argument GL_MAP1_NORMAL
     fglIsEnabled with argument GL_MAP1_TEXTURE_COORD_1
     fglIsEnabled with argument GL_MAP1_TEXTURE_COORD_2
     fglIsEnabled with argument GL_MAP1_TEXTURE_COORD_3
     fglIsEnabled with argument GL_MAP1_TEXTURE_COORD_4


SEE ALSO
     fglBegin, fglColor, fglEnable, fglEvalCoord, fglEvalMesh, fglEvalPoint,
     fglMap2, fglMapGrid, fglNormal, fglTexCoord, fglVertex