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-_C_ License Applicability. Except to the extent portions of this file are
-_C_ made subject to an alternative license as permitted in the SGI Free
-_C_ Software License B, Version 1.1 (the "License"), the contents of this
-_C_ file are subject only to the provisions of the License. You may not use
-_C_ this file except in compliance with the License. You may obtain a copy
-_C_ of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
-_C_ Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
-_C_ 
-_C_ http://oss.sgi.com/projects/FreeB
-_C_ 
-_C_ Note that, as provided in the License, the Software is distributed on an
-_C_ "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
-_C_ DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
-_C_ CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
-_C_ PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
-_C_ 
-_C_ Original Code. The Original Code is: OpenGL Sample Implementation,
-_C_ Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
-_C_ Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
-_C_ Copyright in any portions created by third parties is as indicated
-_C_ elsewhere herein. All Rights Reserved.
-_C_ 
-_C_ Additional Notice Provisions: The application programming interfaces
-_C_ established by SGI in conjunction with the Original Code are The
-_C_ OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
-_C_ April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
-_C_ 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
-_C_ Window System(R) (Version 1.3), released October 19, 1998. This software
-_C_ was created using the OpenGL(R) version 1.2.1 Sample Implementation
-_C_ published by SGI, but has not been independently verified as being
-_C_ compliant with the OpenGL(R) version 1.2.1 Specification.
-_C_
-_C_ The first character in this file must be an '_'!
-_C_ Anything on a line after _C_ is ignored
-_define(_filters,tbl|eqn)_C_
-_C_      eqn is automatically replaced with neqn for nroff
-_header(Map1,define a one-dimensional evaluator)
-_names(Map1,[fd])
-.EQ
-delim $$
-.EN
-.SH PARAMETERS
-_phead(_param1)
-Specifies the kind of values that are generated by the evaluator.
-Symbolic constants
-_const(MAP1_VERTEX_3),
-_const(MAP1_VERTEX_4),
-_const(MAP1_INDEX),
-_const(MAP1_COLOR_4),
-_const(MAP1_NORMAL),
-_const(MAP1_TEXTURE_COORD_1),
-_const(MAP1_TEXTURE_COORD_2),
-_const(MAP1_TEXTURE_COORD_3), and
-_const(MAP1_TEXTURE_COORD_4) are accepted.
-_phead(_param2 _param3)
-Specify a linear mapping of $u$,
-as presented to _cmnd(EvalCoord1),
-to $u hat$,
-the variable that is evaluated by the equations specified by this command.
-_phead(_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.
-_phead(_param5)
-Specifies the number of control points.
-Must be positive.
-_phead(_param6)
-Specifies a pointer to the array of control points.
-
-.SH 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
-_cmnd(Vertex),
-_cmnd(Normal),
-_cmnd(TexCoord), and
-_cmnd(Color) commands,
-except that the generated values do not update the current normal,
-texture coordinates,
-or color.
-.P
-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.  
-.P
-Evaluators define curves based on Bernstein polynomials.
-Define $p ( u hat ^) $ as
-.sp
-.ce
-$p ( u hat ^) ~~=~~ up 10 { sum from i=0 to n } B sub i sup n ( u hat ^) R sub i$
-.sp
-where
-$R sub i$
-is a control point and
-$B sub i sup n ( u hat ^)$
-is the $i$th Bernstein polynomial of degree $n$ (_param5 = $n ~+~ 1$):
-.sp
-.ce
-$B sub i sup n ( u hat ^) ~~=~~ left ( down 20 {cpile { n above i }} ~~ right ) u hat sup i ( 1 - u hat ^) sup { n - i }$
-.sp
-Recall that 
-.sp
-.ce
-$0 sup 0 ~==~ 1 $ and $ left ( down 20 {cpile { n above ~0 }} ~~ right ) ~~==~~ 1 $
-.P
-_cmnd 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 _cmnd(Enable) and _cmnd(Disable)
-with the map name, one of the nine predefined values for _param1
-described below.
-_cmnd(EvalCoord1) evaluates the one-dimensional maps that are enabled.
-When 
-.br
-_cmnd(EvalCoord1) presents a value $u$,
-the Bernstein functions are evaluated using $u hat$, where
-.br
-
-.ce
-$u hat ~~=~~ {u ~-~ _eqnparam2} over {_eqnparam3 ~-~ _eqnparam2}$
-
-.br
-.P
-_param1 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:
-.TP 25
-_const(MAP1_VERTEX_3)
-Each control point is three floating-point values representing
-$x$, $y$, and $z$.
-Internal _cmnd(Vertex3) commands are generated when the map is evaluated.
-.TP
-_const(MAP1_VERTEX_4)
-Each control point is four floating-point values representing
-$x$, $y$, $z$, and $w$.
-Internal _cmnd(Vertex4) commands are generated when the map is evaluated.
-.TP
-_const(MAP1_INDEX)
-Each control point is a single floating-point value representing a color index.
-Internal _cmnd(Index) commands are generated when the map is evaluated
-but the current index is not updated with the value of these _cmnd(Index)
-commands.
-.TP
-_const(MAP1_COLOR_4)
-Each control point is four floating-point values representing
-red, green, blue, and alpha.
-Internal _cmnd(Color4) commands are generated when the map is
-evaluated but the current color is not updated with the value of these
-_cmnd(Color4) commands.
-.TP
-_const(MAP1_NORMAL)
-Each control point is three floating-point values representing
-the $x$, $y$, and $z$ components of a normal vector.
-Internal _cmnd(Normal) commands are generated when the map is
-evaluated but the current normal is not updated with the value of
-these _cmnd(Normal) commands.
-.TP 
-_const(MAP1_TEXTURE_COORD_1)
-Each control point is a single floating-point value representing
-the $s$ texture coordinate.
-Internal 
-.br
-_cmnd(TexCoord1) commands are generated when the map is
-evaluated but the current texture coordinates are not updated with the value
-of these _cmnd(TexCoord) commands.
-.TP
-_const(MAP1_TEXTURE_COORD_2)
-Each control point is two floating-point values representing
-the $s$ and $t$ texture coordinates.
-Internal 
-.br
-_cmnd(TexCoord2) commands are generated when the map is
-evaluated but the current texture coordinates are not updated with the value
-of these _cmnd(TexCoord) commands.
-.TP
-_const(MAP1_TEXTURE_COORD_3)
-Each control point is three floating-point values representing
-the $s$, $t$, and $r$ texture coordinates.
-Internal _cmnd(TexCoord3) commands are generated when the map is
-evaluated but the current texture coordinates are not updated with the value
-of these _cmnd(TexCoord) commands.
-.TP
-_const(MAP1_TEXTURE_COORD_4)
-Each control point is four floating-point values representing
-the $s$, $t$, $r$, and $q$ texture coordinates.
-Internal 
-.br
-_cmnd(TexCoord4) commands are generated when the map is evaluated but
-the current texture coordinates are not updated with the value 
-of these _cmnd(TexCoord) commands.
-.P
-_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 locations,
-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.
-.SH 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 _cmnd before _cmnd
-returns.
-Changes to the contents of _param6 have no effect after _cmnd is called.
-.SH ERRORS
-_const(INVALID_ENUM) is generated if _param1 is not an accepted value.
-.P
-_const(INVALID_VALUE) is generated if _param2 is equal to _param3.
-.P
-_const(INVALID_VALUE) is generated if _param4 is less than the number
-of values in a control point.
-.P
-_const(INVALID_VALUE) is generated if _param5 is less than 1 or
-greater than the return value of _const(MAX_EVAL_ORDER).
-.P
-_const(INVALID_OPERATION) is generated if _cmnd
-is executed between the execution of
-_cmnd(Begin)
-and the corresponding execution of _cmnd(End).
-.P
-When the _arbstring(multitexture) extension is supported,
-_const(INVALID_OPERATION) is generated if _cmnd is called and the value
-of _arbconst(ACTIVE_TEXTURE) is not _arbconst(TEXTURE0).
-.SH ASSOCIATED GETS
-_cmnd(GetMap)
-.br
-_cmnd(Get) with argument _const(MAX_EVAL_ORDER)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_VERTEX_3)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_VERTEX_4)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_INDEX)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_COLOR_4)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_NORMAL)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_TEXTURE_COORD_1)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_TEXTURE_COORD_2)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_TEXTURE_COORD_3)
-.br
-_cmnd(IsEnabled) with argument _const(MAP1_TEXTURE_COORD_4)
-.SH SEE ALSO
-_cmnd(Begin),
-_cmnd(Color),
-_cmnd(Enable),
-_cmnd(EvalCoord),
-_cmnd(EvalMesh),
-_cmnd(EvalPoint),
-_cmnd(Map2),
-_cmnd(MapGrid),
-_cmnd(Normal),
-_cmnd(TexCoord),
-_cmnd(Vertex)