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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_ $Date: 2004/03/14 08:29:09 $ $Revision: 1.1.1.4 $
+_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(Project, map object coordinates to window coordinates)
+_names(Project)
+.EQ
+delim $$
+.EN
+.SH PARAMETERS
+_phead(_param1 _param2 _param3)
+Specify the object coordinates.
+_phead(_param4)
+Specifies the current modelview matrix (as from a _glcmnd(GetDoublev) call).
+_phead(_param5)
+Specifies the current projection matrix (as from a _glcmnd(GetDoublev) call).
+_phead(_param6)
+Specifies the current viewport (as from a _glcmnd(GetIntegerv) call).
+_phead(_param7 _param8 _param9)
+Return the computed window coordinates.
+.SH DESCRIPTION
+_cmnd transforms the specified object coordinates into window coordinates
+using _param4, _param5, and _param6. The result is stored
+in _param7, _param8, and _param9. A return value of
+_const(TRUE) indicates success, a return value of _const(FALSE)
+indicates failure.
+.P
+To compute the coordinates,
+let $v ~=~ (_eqnparam1, _eqnparam2, _eqnparam3, 1.0)$
+represented as a matrix with 4 rows and 1 column.
+Then _cmnd computes $v sup prime$
+as follows:
+.sp
+.EQ
+v sup prime ~=~ P ~times~ M ~times~ v
+.EN
+.sp
+where $P$ is the current projection matrix _param5, $M$ is the current
+modelview matrix _param4 (both represented as
+$4 times 4$ matrices in column-major order) and '$times$' represents
+matrix multiplication.
+.P
+The window coordinates are then computed as follows:
+.sp
+.EQ
+_eqnparam7 ~=~ _eqnparam6 (0) ~+~ _eqnparam6 (2) ~*~ (v sup prime (0) ~+~ 1)~/~2
+.EN
+.sp
+.EQ
+_eqnparam8 ~=~ _eqnparam6 (1) ~+~ _eqnparam6 (3)~*~(v sup prime (1) ~+~ 1)~/~2 .EN
+.sp
+.EQ
+_eqnparam9 ~=~ (v sup prime (2) ~+~ 1)~/~ 2
+.EN
+.sp
+.SH SEE ALSO
+_glcmnd(Get), _cmnd(UnProject)
+