C SPECIFICATION

       void GLAPIENTRY glMap1d( GLenum target,
                                GLdouble u1,
                                GLdouble u )
       void GLAPIENTRY glMap1f( GLenum target,
                                GLfloat u1,
                                GLfloat u )



PARAMETERS

       target  Specifies  the kind of values that are generated by the evalua-
               tor.  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, u   Specify a linear mapping of u, as presented to glEvalCoord1, to
               <I>u, the variable that is evaluated by the equations specified by
               this command.

       _param4 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  _param6.   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.

       _param5 Specifies the number of control points.  Must be positive.

       _param6 Specifies a pointer to the array of control points.



DESCRIPTION

       Evaluators  provide a way to use polynomial or rational polynomial map-
       ping 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(<I>u)
       as

                                   p(<I>u)=in?0Bn<I>i(<I>u)Ri









                                        i

       Recall that
                                             n









                                   00?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 call-
       ing  glEnable  and  glDisable with the map name, one of the nine prede-
       fined 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 <I>u, where

                                       <I>u=u<I>u__u<I>u_1<I>1_


       target is a symbolic constant  that  indicates  what  kind  of  control
       points  are  provided in _param6, 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.
                                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 com-
                                mands 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 coor-
                                dinates are not  updated  with  the  value  of
                                these glTexCoord commands.

       GL_MAP1_TEXTURE_COORD_2  Each  control point is two floating-point val-
                                ues representing the s and t  texture  coordi-
                                nates.  Internal
                                glTexCoord2  commands  are  generated when the
                                map is evaluated but the current texture coor-
                                dinates  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 val-
                                ues  representing  the  s, t, r, and q texture
                                coordinates.  Internal
                                glTexCoord4 commands are  generated  when  the
                                map is evaluated but the current texture coor-
                                dinates are not  updated  with  the  value  of
                                these glTexCoord commands.

       _param4, _param5, and _param6 define the array addressing for accessing
       the control points.  _param6 is  the  location  of  the  first  control
       point,  which occupies one, two, three, or four contiguous memory loca-
       tions, depending on which map is being defined.  _param5 is the  number
       of  control  points  in the array.  _param4 specifies how many float or
       double locations to advance the internal memory pointer  to  reach  the
       next control point.

       GL_INVALID_VALUE is generated if _param5 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.

       When     the     GL_ARB_multitexture     extension     is    supported,
       GL_INVALID_OPERATION is generated if glMap1 is called and the value  of
       GL_ACTIVE_TEXTURE_ARB is not GL_TEXTURE0_ARB.


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



                                                                    GLMAP1(3G)

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