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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,eqn)_C_
+_C_ eqn is automatically replaced with neqn for nroff
+_header(Frustum,multiply the current matrix by a perspective matrix)
+_names(Frustum)
+.EQ
+delim $$
+.EN
+.SH PARAMETERS
+_phead(_param1 _param2)
+Specify the coordinates for the left and right vertical clipping planes.
+_phead(_param3 _param4)
+Specify the coordinates for the bottom and top horizontal clipping planes.
+_phead(_param5 _param6)
+Specify the distances to the near and far depth clipping planes.
+Both distances must be positive.
+.SH DESCRIPTION
+_cmnd describes a perspective matrix that produces a perspective projection.
+The current matrix (see _cmnd(MatrixMode)) is multiplied by this matrix
+and the result replaces the current matrix, as if
+_cmnd(MultMatrix) were called with the following matrix
+as its argument:
+.P
+.sp 5
+.ce
+.EQ
+down 150
+{left [ ~~~ {
+down 165 matrix {
+ ccol { {{2 ~ _eqnparam5} over {_eqnparam2 ~-~ _eqnparam1}} above 0 above 0 above 0 }
+ ccol { 0 above {{2 ~ _eqnparam5} over {_eqnparam4 ~-~ _eqnparam3}} ~ above 0 above 0 }
+ ccol { A ~~~~ above B ~~~~ above C ~~~~ above -1 ~~~~}
+ ccol { 0 above 0 above D above 0}
+}}
+~~~ right ]}
+.EN
+.sp
+.ce
+.EQ
+down 130
+{A ~=~ {_eqnparam2 ~+~ _eqnparam1} over {_eqnparam2 ~-~ _eqnparam1}}
+.EN
+.sp
+.ce
+.EQ
+down 130
+{B ~=~ {_eqnparam4 ~+~ _eqnparam3} over {_eqnparam4 ~-~ _eqnparam3}}
+.EN
+.sp
+.ce
+.EQ
+down 130
+{C ~=~ -{{_eqnparam6 ~+~ _eqnparam5} over {_eqnparam6 ~-~ _eqnparam5}}}
+.EN
+.sp
+.ce
+.EQ
+down 130
+{D ~=~ -^{{2 ~ _eqnparam6 ~ _eqnparam5} over {_eqnparam6 ~-~ _eqnparam5}}}
+.EN
+.sp 2
+.P
+Typically, the matrix mode is _const(PROJECTION), and
+(_param1, _param3, \-_param5) and (_param2, _param4, \-_param5)
+specify the points on the near clipping plane that are mapped
+to the lower left and upper right corners of the window,
+assuming that the eye is located at (0, 0, 0).
+\-_param6 specifies the location of the far clipping plane.
+Both _param5 and _param6 must be positive.
+.P
+Use _cmnd(PushMatrix) and _cmnd(PopMatrix) to save and restore
+the current matrix stack.
+.SH NOTES
+Depth buffer precision is affected by the values specified for
+_param5 and _param6.
+The greater the ratio of _param6 to _param5 is,
+the less effective the depth buffer will be at distinguishing between
+surfaces that are near each other.
+If
+.sp
+.ce
+$r ~=~ _eqnparam6 over _eqnparam5$
+.sp
+roughly $log sub 2 (r)$ bits of depth buffer precision are lost.
+Because $r$ approaches infinity as _param5 approaches 0,
+_param5 must never be set to 0.
+.SH ERRORS
+_const(INVALID_VALUE) is generated if _param5 or _param6 is not
+positive, or if _param1 = _param2, or _param3 = _param4.
+.P
+_const(INVALID_OPERATION) is generated if _cmnd
+is executed between the execution of _cmnd(Begin)
+and the corresponding execution of _cmnd(End).
+.SH ASSOCIATED GETS
+_cmnd(Get) with argument _const(MATRIX_MODE)
+.br
+_cmnd(Get) with argument _const(MODELVIEW_MATRIX)
+.br
+_cmnd(Get) with argument _const(PROJECTION_MATRIX)
+.br
+_cmnd(Get) with argument _const(TEXTURE_MATRIX)
+.br
+_cmnd(Get) with argument _const(COLOR_MATRIX)
+.SH SEE ALSO
+_cmnd(Ortho),
+_cmnd(MatrixMode),
+_cmnd(MultMatrix),
+_cmnd(PushMatrix),
+_cmnd(Viewport)