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GLEVALMESH()							    GLEVALMESH()

NAME
     glEvalMesh1, glEvalMesh2 - compute a one- or two-dimensional grid of points
     or lines

C SPECIFICATION
     void glEvalMesh1( GLenum mode,
		       GLint i1,
		       GLint i2 )

     delim $$

PARAMETERS
     mode  In  glEvalMesh1,  specifies whether to compute a one-dimensional mesh
	   of points or lines.	Symbolic constants GL_POINT and GL_LINE are  ac-
	   cepted.

     i1, i2
	   Specify  the  first	and last integer values for grid domain variable
	   $i$.

C SPECIFICATION
     void glEvalMesh2( GLenum mode,
		       GLint i1,
		       GLint i2,
		       GLint j1,
		       GLint j2 )

PARAMETERS
     mode   In glEvalMesh2, specifies whether to compute a two-dimensional  mesh
	    of	 points,  lines,  or  polygons.   Symbolic  constants  GL_POINT,
	    GL_LINE, and GL_FILL are accepted.

     i1, i2
	    Specify the first and last integer values for grid	domain	variable
	    $i$.

     j1, j2
	    Specify  the  first and last integer values for grid domain variable
	    $j$.

DESCRIPTION
     glMapGrid and glEvalMesh are used in tandem  to  efficiently  generate  and
     evaluate  a  series  of  evenly-spaced map domain values.	glEvalMesh steps
     through the integer domain of a one- or two-dimensional grid,  whose  range
     is  the domain of the evaluation maps specified by glMap1 and glMap2.  mode
     determines whether the resulting vertices are connected as  points,  lines,
     or filled polygons.

     In  the  one-dimensional case, glEvalMesh1, the mesh is generated as if the
     following code fragment were executed:

     glBegin (type);
     for (i = i1; i <= i2; i += 1)
	  glEvalCoord1(i . DELTA u + u sub 1)
     glEnd();

     where

     DELTA u = (u  - u ) / 1
		 2    1

     and n, u, and u  are the arguments to the most recent
	     1	    2
     glMapGrid1 command.  type is GL_POINTS if mode is GL_POINT, or GL_LINES  if
     mode is GL_LINE.

     The  one absolute numeric requirement is that if i = n, then the value com-
     puted from

     i . DELTA u + u

     is exactly u.

     In the two-dimensional case, glEvalMesh2, let

     DELTA u = (u  - u )/n
		 2    1

     DELTA v = (v - v )/m,
		 2   1

     where n, u , u , m, v , and v
	       1   2	  1	  2
     are the arguments to the most recent glMapGrid2 command.  Then, if mode  is
     GL_FILL, the glEvalMesh2 command is equivalent to:

     for (j = j1;  j < j2; j += 1) {
	 glBegin (GL_QUAD_STRIP);
	 for (i = i1; i <= i2; i += 1) {
	     glEvalCoord2(i . DELTA u + u , j . DELTA v + v );
					 1		   1
	     glEvalCoord2(i . DELTA u + u , (j+1) . DELTA v + v );
					 1		       1
	 }
	 glEnd();
     }

     If mode is GL_LINE, then a call to glEvalMesh2 is equivalent to:

     for (j = j1;  j <= j2; j += 1) {
	 glBegin(GL_LINE_STRIP);
	 for (i = i1; i <= i2; i += 1)
	     glEvalCoord2(i . DELTA u + u , j . DELTA v + v );
					 1		   1
	 glEnd();
     }
     for (i = i1;  i <= i2; i += 1) {
	 glBegin(GL_LINE_STRIP);
	 for (j = j1; j <= j1; j += 1)
	     glEvalCoord2)(i . DELTA u + u , j . DELTA v + v );
					  1		    1
	 glEnd();
     }

     And  finally, if mode is GL_POINT, then a call to glEvalMesh2 is equivalent
     to:

     glBegin (GL_POINTS);
     for (j = j1;  j <= j2; j += 1) {
	 for (i = i1; i <= i2; i += 1) {
	     glEvalCoord2(i . DELTA u + u , j . DELTA v + v );
					 1		   1
	 }
     }
     glEnd();

     In all three cases, the only absolute  numeric  requirements  are	that  if
     $i~=~n$, then the value computed from
     i . DELTA u + u is exactly u ,
		    1		 2
     and if $j~=~m$,
     then the value computed from
     j . DELTA v + v is exactly v .
		    1		 2

ERRORS
     GL_INVALID_ENUM is generated if mode is not an accepted value.

     GL_INVALID_OPERATION is generated if glEvalMesh is executed between the ex-
     ecution of glBegin and the corresponding execution of glEnd.

ASSOCIATED GETS
     glGet with argument GL_MAP1_GRID_DOMAIN
     glGet with argument GL_MAP2_GRID_DOMAIN
     glGet with argument GL_MAP1_GRID_SEGMENTS
     glGet with argument GL_MAP2_GRID_SEGMENTS

SEE ALSO
     glBegin, glEvalCoord, glEvalPoint, glMap1, glMap2, glMapGrid

								    GLEVALMESH()

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