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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(UnProject4, map window and clip coordinates to object coordinates)
-_names(UnProject4)
-.EQ
-delim $$
-.EN
-.SH PARAMETERS
-_phead(_param1 _param2 _param3)
-Specify the window coordinates to be mapped.
-_phead(_param4)
-Specify the clip w coordinate to be mapped.
-_phead(_param5)
-Specifies the modelview matrix (as from a _glcmnd(GetDoublev) call).
-_phead(_param6)
-Specifies the projection matrix (as from a _glcmnd(GetDoublev) call).
-_phead(_param7)
-Specifies the viewport (as from a _glcmnd(GetIntegerv) call).
-_phead(_param8 _param9)
-Specifies the near and far planes (as from a _glcmnd(GetDoublev) call).
-_phead(_param10 _param11 _param12 _param13)
-Returns the computed object coordinates.
-.SH DESCRIPTION
-_cmnd maps the specified window coordinates _param1, _param2 and _param3
-and its clip w coordinate _param4
-into object
-coordinates (_param10, _param11, _param12, _param13)
-using _param5, _param6 and _param7. _param4 can be other than
-1 as for vertices in _glcmnd(FeedbackBuffer) when data type
-_const(4D_COLOR_TEXTURE) is returned.
-This also handles the case
-where the _param8 and _param9 planes are different from the default,
-0 and 1, respectively.
-A return
-value of _const(TRUE) indicates success; a return value of _const(FALSE)
-indicates failure.
-.P
-To compute the coordinates (_param10, _param11, _param12 and _param13),
-_cmnd multiplies the normalized device coordinates by the inverse of
-_param5*_param6 as follows:
-
-.P
-.ce
-.EQ
-left ( down 70 {cpile { ~_eqnparam10 above ~_eqnparam11 above ~_eqnparam12
-above ~_eqnparam13}} ~~ right ) ~=~ INV(P M)
-left ( down 140 {cpile {
-{ {2(_eqnparam1 ~-~ _eqnparam7[0])} over {_eqnparam7[2]} ~-~ 1 }
-above
-{ {2(_eqnparam2 ~-~ _eqnparam7[1])} over {_eqnparam7[3]} ~-~ 1 }
-above
-{ {2(_eqnparam3 ~-~ _eqnparam8)} over {(_eqnparam9 ~-~ _eqnparam8)} ~-~ 1 }
-above
-_eqnparam4}} ~~ right )
-.EN
-.sp
-$INV()$ denotes matrix inversion.
-.P
-_cmnd is equivalent to _cmnd(UnProject) when _param4 is 1, _param8 is 0 and
-_param9 is 1.
-.SH NOTES
-_cmnd is available only if the GLU version is 1.3 or greater.
-.SH SEE ALSO
-_glcmnd(Get),
-_glcmnd(FeedbackBuffer),
-_cmnd(Project),
-_cmnd(UnProject)