GLROTATE

NAME

glRotated, glRotatef - multiply the current matrix by a rotation matrix

C SPECIFICATION

void f3glRotatedfP( GLdouble fIanglefP,

   GLfloat fIxfP,
   GLfloat fIyfP,
   GLfloat fIzfP )

delim $$

PARAMETERS

f2anglefP: Specifies the angle of rotation, in degrees.
f2xfP, f2yfP, f2zfP: Specify the f2xfP, f2yfP, and f2zfP coordinates of a vector, respectively.

DESCRIPTION

%f3glRotatefP produces a rotation of f2anglefP degrees around the vector $("x", "y", "z")$. The current matrix (see %f3glMatrixModefP) is multiplied by a rotation matrix with the product replacing the current matrix, as if %f3glMultMatrixfP were called with the following matrix as its argument:
left ( ~ down 20 matrix {
ccol {
   "x" sup 2 (1 ^-^ c)~+~ c above
   "y" "x" (1 ^-^ c)~+~ "z" s above
   "x" "z" (1 ^-^ c)~-~"y" s above
   ~0
}
ccol {
   ~~ "x" "y" (1 ^-^ c)~-~"z" s above
   ~~ "y" sup 2 (1 ^-^ c)~+~ c above
   ~~ "y" "z" (1 ^-^ c)~+~ "x" s above
   ~~ ~0
}
ccol {
   ~~ "x" "z" (1 ^-^ c)~+~ "y" s above
   ~~ "y" "z" (1 ^-^ c)~-~ "x" s above
   ~~ "z" sup 2 (1 ^-^ c) ~+~  c above
   ~~ ~0
}
ccol { ~0 above ~0 above ~0 above ~1} } ~~ right )

Where $c ~=~ cos ("angle")$, $s ~=~ sin ("angle")$, and $||(~"x", "y", "z"~)|| ~=~ 1$ (if not, the GL will normalize this vector).

If the matrix mode is either %f3GL_MODELVIEWfP or %f3GL_PROJECTIONfP, all objects drawn after %f3glRotatefP is called are rotated. Use %f3glPushMatrixfP and %f3glPopMatrixfP to save and restore the unrotated coordinate system.

NOTES

This rotation follows the right-hand rule, so if the vector $("x", "y", "z")$ points toward the user, the rotation will be counterclockwise.

ERRORS

%f3GL_INVALID_OPERATIONfP is generated if %f3glRotatefP is executed between the execution of %f3glBeginfP and the corresponding execution of %f3glEndfP.

ASSOCIATED GETS

%f3glGetfP with argument %f3GL_MATRIX_MODEfP
%f3glGetfP with argument %f3GL_COLOR_MATRIXfP
%f3glGetfP with argument %f3GL_MODELVIEW_MATRIXfP
%f3glGetfP with argument %f3GL_PROJECTION_MATRIXfP
%f3glGetfP with argument %f3GL_TEXTURE_MATRIXfP