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<HTML><BODY><PRE>     <STRONG>NAME</STRONG>	  <STRONG>fgluLookAt</STRONG> - define a	viewing	transformation     <STRONG>FORTRAN</STRONG> <STRONG>SPECIFICATION</STRONG>	  SUBROUTINE <STRONG>fgluLookAt</STRONG>( REAL*8	<EM>eyeX</EM>,				 REAL*8	<EM>eyeY</EM>,				 REAL*8	<EM>eyeZ</EM>,				 REAL*8	<EM>centerX</EM>,				 REAL*8	<EM>centerY</EM>,				 REAL*8	<EM>centerZ</EM>,				 REAL*8	<EM>upX</EM>,				 REAL*8	<EM>upY</EM>,				 REAL*8	<EM>upZ</EM> )     <STRONG>PARAMETERS</STRONG>	  <EM>eyeX</EM>,	<EM>eyeY</EM>, <EM>eyeZ</EM>			  Specifies the	position of the	eye point.	  <EM>centerX</EM>, <EM>centerY</EM>, <EM>centerZ</EM>			  Specifies the	position of the	reference			  point.	  <EM>upX</EM>, <EM>upY</EM>, <EM>upZ</EM>	  Specifies the	direction of the <EM>up</EM> vector.     <STRONG>DESCRIPTION</STRONG>	  <STRONG>fgluLookAt</STRONG> creates a viewing matrix derived from an eye	  point, a reference point indicating the center of the	scene,	  and an <EM>UP</EM> vector.	  The matrix maps the reference	point to the negative <EM>z</EM>	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 <EM>UP</EM> vector projected onto the	viewing	plane	  is mapped to the positive <EM>y</EM> axis so that it points upward in	  the viewport.	 The <EM>UP</EM>	vector must not	be parallel to the	  line of sight	from the eye point to the reference point.	  Let	      (	centerX	  -   eyeX  )	  F = |			    |	      |	centerY	  -   eyeY  |	      (	centerZ	  -   eyeZ  )	  Let <EM>UP</EM> be the	vector (upX,upY,upZ).	  Then normalize as follows: f = __<STRONG>_</STRONG>__					 ||F||	  UP' =	__<STRONG>__</STRONG>__		||UP||	  Finally, let s = f x UP', and	u = s x	f.	  M is then constructed	as follows:	      (	s[0]   s[1]   s[2]  0  )	      |	u[0]   u[1]   u[2]  0  |	  M = |			       |	      |-f[0]  -f[1]  -f[2]  0  |	      |	 0	0      0    1  |	      (			       )	  and <STRONG>fgluLookAt</STRONG> is equivalent to glMultMatrixf(M);	  glTranslated (-eyex, -eyey, -eyez);     <STRONG>SEE</STRONG> <STRONG>ALSO</STRONG>	  <STRONG>glFrustum</STRONG>, <STRONG>fgluPerspective</STRONG></PRE></BODY></HTML>

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