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  ac‐
               cepted.

       u1, u   Specify a linear mapping of u, as presented to glEvalCoord1,  to
               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 pro‐
       cessing 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 us‐
       ing 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(u) as

                                   p(u)=iΣ0Bi(u)Ri

       where Ri is a control point and Bi(u) is the ith Bernstein polynomial of
       degree n (_param5 = n+1):

                                 Bi(u)=⎝n⎠ui(1−u)n−i
                                        i
       Recall that
       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 val‐
                                ues  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  val‐
                                ues  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 val‐
                                ues 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 val‐
                                ues  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  coordi‐
                                nates  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 coordi‐
                                nates are not updated with the value  of  these
                                glTexCoord commands.

       GL_MAP1_TEXTURE_COORD_3  Each control point is three floating-point val‐
                                ues representing the s, t, and r texture  coor‐

       the control points.  _param6 is the location of the first control point,
       which occupies one, two, three, or four contiguous memory locations, de‐
       pending on which map is being defined.  _param5 is the number of control
       points  in  the array.  _param4 specifies how many float or double loca‐
       tions 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 _param6 were copied by glMap1  before  glMap1  re‐
       turns.   Changes  to the contents of _param6 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 u.

       GL_INVALID_VALUE is generated if _param4 is less than the number of val‐
       ues in a 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 exe‐
       cution 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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