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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(LookAt, define a viewing transformation)
-_names(LookAt)
-.EQ
-delim $$
-.EN
-.SH PARAMETERS
-_phead(_param1 _param2 _param3)
-Specifies the position of the eye point.
-_phead(_param4 _param5 _param6)
-Specifies the position of the reference point.
-_phead(_param7 _param8 _param9)
-Specifies the direction of the \f2up\fP vector.
-.SH DESCRIPTION
-_cmnd creates a viewing matrix derived from an eye point, a reference
-point indicating the center of the scene, and an \f2UP\fP vector.
-.P
-The matrix
-maps the reference point to the negative \f2z\fP axis and the
-eye point to the origin.
-When a typical projection matrix is used,
-the center of the scene therefore maps to the center of the viewport.
-Similarly, the direction described by the \f2UP\fP
-vector projected onto the viewing plane is mapped to the positive \f2y\fP
-axis so that it points upward in the viewport.
-The \f2UP\fP vector must not be parallel to the line of sight from the
-eye point to the reference point.
-.P
-Let
-.sp
-.EQ
-F ~=~ left ( down 20 { ~ matrix {
- ccol {_eqnparam4 above _eqnparam5 above _eqnparam6}
- ccol { ~-~ above ~-~ above ~-~}
- ccol {_eqnparam1 above _eqnparam2 above _eqnparam3}
-} } ~~ right )
-
-.EN
-
-.sp
-Let \f2UP\fP be the vector $(_eqnparam7, _eqnparam8, _eqnparam9)$.
-.P
-Then normalize as follows:
-.EQ
-f ~=~ F over {|| F ||}
-.EN
-.P
-.EQ
-UP sup prime ~=~ UP over {|| UP ||}
-.EN
-.sp
-.P
-Finally, let $s ~=~ f ~times~ UP sup prime$, and $u ~=~ s ~times~ f$.
-.P
-.sp
-M is then constructed as follows:
-.EQ
-M ~=~ left ( matrix {
- ccol { ~s[0] above ~u[0] above -f[0] above 0 }
- ccol { ~s[1] above ~u[1] above -f[1] above 0 }
- ccol { ~s[2] above ~u[2] above -f[2] above 0 }
- ccol { 0 above 0 above 0 above 1 }
-} ~~right )
-.EN
-.P
-and _cmnd is equivalent to
-.Ex
-glMultMatrixf(M);
-glTranslated (-eyex, -eyey, -eyez);
-.Ee
-.SH SEE ALSO
-_glcmnd(Frustum), _cmnd(Perspective)