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GLTEXGEN()							    GLTEXGEN()

NAME
       glTexGend,  glTexGenf,  glTexGeni, glTexGendv, glTexGenfv, glTexGeniv -
       control the generation of texture coordinates

C SPECIFICATION
       void glTexGend( GLenum coord,
		       GLenum pname,
		       GLdouble param )
       void glTexGenf( GLenum coord,
		       GLenum pname,
		       GLfloat param )
       void glTexGeni( GLenum coord,
		       GLenum pname,
		       GLint param )

       delim $$

PARAMETERS
       coord   Specifies a texture coordinate.	Must be	 one  of  GL_S,	 GL_T,
	       GL_R, or GL_Q.

       pname   Specifies  the  symbolic name of the texture-coordinate genera‐
	       tion function.  Must be GL_TEXTURE_GEN_MODE.

       param   Specifies a single-valued texture generation parameter, one  of
	       GL_OBJECT_LINEAR, GL_EYE_LINEAR, or GL_SPHERE_MAP.

C SPECIFICATION
       void glTexGendv( GLenum coord,
			GLenum pname,
			const GLdouble *params )
       void glTexGenfv( GLenum coord,
			GLenum pname,
			const GLfloat *params )
       void glTexGeniv( GLenum coord,
			GLenum pname,
			const GLint *params )

PARAMETERS
       coord  Specifies	 a  texture  coordinate.   Must	 be one of GL_S, GL_T,
	      GL_R, or GL_Q.

       pname  Specifies the symbolic name of the texture-coordinate generation
	      function	or  function parameters.  Must be GL_TEXTURE_GEN_MODE,
	      GL_OBJECT_PLANE, or GL_EYE_PLANE.

       params Specifies a pointer to an array of  texture  generation  parame‐
	      ters.  If pname is GL_TEXTURE_GEN_MODE, then the array must con‐
	      tain  a  single  symbolic	 constant,  one	 of  GL_OBJECT_LINEAR,
	      GL_EYE_LINEAR,  or  GL_SPHERE_MAP.   Otherwise, params holds the
	      coefficients  for	 the  texture-coordinate  generation  function
	      specified by pname.

DESCRIPTION
       glTexGen	 selects  a texture-coordinate generation function or supplies
       coefficients for one of the functions.  coord names one of the  (s,  t,
       r,  q)  texture	coordinates; it must be one of the symbols GL_S, GL_T,
       GL_R, or GL_Q.  pname must be one of three symbolic constants:  GL_TEX‐
       TURE_GEN_MODE,  GL_OBJECT_PLANE,	 or GL_EYE_PLANE.  If pname is GL_TEX‐
       TURE_GEN_MODE, then params chooses a  mode,  one	 of  GL_OBJECT_LINEAR,
       GL_EYE_LINEAR, or GL_SPHERE_MAP.	 If pname is either GL_OBJECT_PLANE or
       GL_EYE_PLANE, params contains coefficients for the  corresponding  tex‐
       ture generation function.

       If the texture generation function is GL_OBJECT_LINEAR, the function

       $g  =  p	 sub 1 x sub o + p sub 2 y sub o + p sub 3 z sub o + p sub 4 w
				       sub o$

       is used, where $g$ is the value computed for the	 coordinate  named  in
       coord, $p sub 1$, $p sub 2$, $p sub 3$, and $p sub 4$ are the four val‐
       ues supplied in params, and $x sub o$, $y sub o$, $z sub o$, and $w sub
       o$  are	the  object  coordinates  of the vertex.  This function can be
       used, for example, to texture-map terrain using sea level as  a	refer‐
       ence plane (defined by $p sub 1$, $p sub 2$, $p sub 3$, and $p sub 4$).
       The altitude of a terrain vertex is computed  by	 the  GL_OBJECT_LINEAR
       coordinate  generation  function	 as  its distance from sea level; that
       altitude can then be used to index the texture image to map white  snow
       onto peaks and green grass onto foothills.

       If the texture generation function is GL_EYE_LINEAR, the function

       $g  =  {p sub 1} sup prime ~x sub e + {p sub 2} sup prime ~y sub e + {p
	      sub 3} sup prime ~z sub e + {p sub 4} sup prime ~w sub e$

       is used, where

			       $( {p sub 1} sup prime
       ~~{p sub 2} sup prime~~{p sub 3} sup prime~~ {{p sub 4}sup prime}) =  (
       p sub 1~~ p sub 2~~ p sub 3~~ p sub 4 ) ~M sup -1$

       and  $x sub e$, $y sub e$, $z sub e$, and $w sub e$ are the eye coordi‐
       nates of the vertex, $p sub 1$, $p sub 2$, $p sub 3$, and $p sub 4$ are
       the  values  supplied  in  params, and $M$ is the modelview matrix when
       glTexGen is invoked.  If $M$ is poorly conditioned or singular, texture
       coordinates  generated  by  the resulting function may be inaccurate or
       undefined.

       Note that the values in params define a reference plane in eye  coordi‐
       nates.	The  modelview	matrix	that is applied to them may not be the
       same one in effect when the polygon  vertices  are  transformed.	  This
       function	 establishes  a	 field of texture coordinates that can produce
       dynamic contour lines on moving objects.

       If pname is GL_SPHERE_MAP and coord is either GL_S or GL_T, $s$ and $t$
       texture coordinates are generated as follows.  Let u be the unit vector
       pointing from the origin to the polygon vertex  (in  eye	 coordinates).
       Let  n  sup  prime  be  the current normal, after transformation to eye
       coordinates.  Let

		     $f ~=~ ( f sub x~~f sub y~~f sub z ) sup T$
       be the reflection vector such that

		  $f ~=~  u ~-~ 2 n sup prime n sup prime sup T u$

       Finally, let $ m ~=~ 2 sqrt { f sub x sup {~2} + f sub y sup {~2} +  (f
       sub  z + 1 ) sup 2}$.  Then the values assigned to the $s$ and $t$ tex‐
       ture coordinates are

			 $s ~=~ f sub x over m ~+~ 1 over 2$

			 $t ~=~ f sub y over m ~+~ 1 over 2$

       To enable or disable a  texture-coordinate  generation  function,  call
       glEnable or glDisable with one of the symbolic texture-coordinate names
       (GL_TEXTURE_GEN_S,  GL_TEXTURE_GEN_T,  GL_TEXTURE_GEN_R,	  or   GL_TEX‐
       TURE_GEN_Q) as the argument.  When enabled, the specified texture coor‐
       dinate is computed according to the generating function associated with
       that coordinate.	 When disabled, subsequent vertices take the specified
       texture coordinate from the current set of  texture  coordinates.  Ini‐
       tially,	all  texture generation functions are set to GL_EYE_LINEAR and
       are disabled.  Both $s$ plane equations are (1,	0,  0,	0),  both  $t$
       plane  equations	 are (0, 1, 0, 0), and all $r$ and $q$ plane equations
       are (0, 0, 0, 0).

ERRORS
       GL_INVALID_ENUM is generated when coord or pname	 is  not  an  accepted
       defined	value,	or when pname is GL_TEXTURE_GEN_MODE and params is not
       an accepted defined value.

       GL_INVALID_ENUM is generated when pname is GL_TEXTURE_GEN_MODE,	params
       is GL_SPHERE_MAP, and coord is either GL_R or GL_Q.

       GL_INVALID_OPERATION  is	 generated if glTexGen is executed between the
       execution of glBegin and the corresponding execution of glEnd.

ASSOCIATED GETS
       glGetTexGen
       glIsEnabled with argument GL_TEXTURE_GEN_S
       glIsEnabled with argument GL_TEXTURE_GEN_T
       glIsEnabled with argument GL_TEXTURE_GEN_R
       glIsEnabled with argument GL_TEXTURE_GEN_Q

SEE ALSO
       glCopyPixels,  glCopyTexImage2D,	 glCopyTexSubImage1D,  glCopyTexSubIm‐
       age2D,  glTexEnv,  glTexImage1D,	 glTexImage2D,	glTexParameter, glTex‐
       SubImage1D, glTexSubImage2D

								    GLTEXGEN()
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