gluperspective(3g) [osx man page]

GLUPERSPECTIVE(3G)														GLUPERSPECTIVE(3G)

NAME

       gluPerspective - set up a perspective projection matrix

C SPECIFICATION

       void gluPerspective( GLdouble fovy,
			    GLdouble aspect,
			    GLdouble zNear,
			    GLdouble zFar )

PARAMETERS

       fovy    Specifies the field of view angle, in degrees, in the y direction.

       aspect  Specifies  the  aspect ratio that determines the field of view in the x direction.  The aspect ratio is the ratio of x (width) to y
	       (height).

       zNear   Specifies the distance from the viewer to the near clipping plane (always positive).

       zFar    Specifies the distance from the viewer to the far clipping plane (always positive).

DESCRIPTION

       gluPerspective specifies a viewing frustum into the world coordinate system.  In general, the aspect ratio in gluPerspective  should  match
       the  aspect  ratio of the associated viewport. For example, aspect = 2.0 means the viewer's angle of view is twice as wide in x as it is in
       y.  If the viewport is twice as wide as it is tall, it displays the image without distortion.

       The matrix generated by gluPerspective is multipled by the current matrix, just as if glMultMatrix were called with the	generated  matrix.
       To load the perspective matrix onto the current matrix stack instead, precede the call to gluPerspective with a call to glLoadIdentity.

       Given f defined as follows:

								 f  = cotangent(fovy/2)

       The generated matrix is
	     f
	------------	   0		  0		 0
	   aspect

	    0		   f		  0		 0

				      zFar+zNear    2*zFar*zNear
	    0		   0	      ----------    ------------
				      zNear-zFar     zNear-zFar

	    0		   0		  -1		 0

NOTES

       Depth  buffer precision is affected by the values specified for zNear and zFar.	The greater the ratio of zFar to zNear is, the less effec-
       tive the depth buffer will be at distinguishing between surfaces that are near each other.  If

								     r = zFar/zNear

       roughly log2(r) bits of depth buffer precision are lost.  Because r approaches infinity as zNear approaches 0, zNear must never be  set	to
       0.

SEE ALSO

       glFrustum, glLoadIdentity, glMultMatrix, gluOrtho2D

																GLUPERSPECTIVE(3G)

GLFRUSTUM(3G)															     GLFRUSTUM(3G)

NAME

       glFrustum - multiply the current matrix by a perspective matrix

C SPECIFICATION

       void glFrustum( GLdouble left,
		       GLdouble right,
		       GLdouble bottom,
		       GLdouble top,
		       GLdouble zNear,
		       GLdouble zFar )

PARAMETERS

       left, right Specify the coordinates for the left and right vertical clipping planes.

       bottom, top Specify the coordinates for the bottom and top horizontal clipping planes.

       zNear, zFar Specify the distances to the near and far depth clipping planes.  Both distances must be positive.

DESCRIPTION

       glFrustum  describes  a	perspective matrix that produces a perspective projection.  The current matrix (see glMatrixMode) is multiplied by
       this matrix and the result replaces the current matrix, as if glMultMatrix were called with the following matrix as its argument:

	  2 zNear
	------------	   0		  A		 0
	right - left

			2 zNear
	    0	      ------------	  B		 0
		      top - bottom

	    0		   0		  C		 D

	    0		   0		  -1		 0

							   A = (right + left) / (right - left)

							   B = (top + bottom) / (top - bottom)

							  C = - (zFar + zNear) / (zFar - zNear)

							  D = - (2 zFar zNear) / (zFar - zNear)

       Typically, the matrix mode is GL_PROJECTION, and (left, bottom, -zNear) and (right, top,  -zNear) specify the points on the  near  clipping
       plane that are mapped to the lower left and upper right corners of the window, assuming that the eye is located at (0, 0, 0).  -zFar speci-
       fies the location of the far clipping plane.  Both zNear and zFar must be positive.

       Use glPushMatrix and glPopMatrix to save and restore the current matrix stack.

NOTES

       Depth buffer precision is affected by the values specified for zNear and zFar.  The greater the ratio of zFar to zNear is, the less  effec-
       tive the depth buffer will be at distinguishing between surfaces that are near each other.  If

								    r = zFar / zNear

       roughly	log2(r)  bits of depth buffer precision are lost.  Because r approaches infinity as zNear approaches 0, zNear must never be set to
       0.

ERRORS

       GL_INVALID_VALUE is generated if zNear or zFar is not positive, or if left = right, or bottom = top.

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

ASSOCIATED GETS

       glGet with argument GL_MATRIX_MODE
       glGet with argument GL_MODELVIEW_MATRIX
       glGet with argument GL_PROJECTION_MATRIX
       glGet with argument GL_TEXTURE_MATRIX
       glGet with argument GL_COLOR_MATRIX

SEE ALSO

       glOrtho, glMatrixMode, glMultMatrix, glPushMatrix, glViewport

																     GLFRUSTUM(3G)