NAME

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

C SPECIFICATION

void glRotated( GLdouble angle,

	GLdouble x,
	GLdouble y,
	GLdouble z )

void glRotatef( GLfloat angle,

	GLfloat x,
	GLfloat y,
	GLfloat z )

PARAMETERS

angle: Specifies the angle of rotation, in degrees.
x, y, z: Specify the x, y, and z coordinates of a vector, respectively.

DESCRIPTION

glRotate produces a rotation of angle degrees around the vector

(x, y, z)

. The current matrix (see glMatrixMode) is multiplied by a rotation matrix with the product replacing the current matrix, as if glMultMatrix were called with the following matrix as its argument:

$(\begin{matrix} x x (1 - c)+ c & x y (1 - c)- z s & x z (1 - c)+ y s & 0 \\ y x (1 - c)+ z s & y y (1 - c)+ c & y z (1 - c)- x s & 0 \\ x z (1 - c)- y s & y z (1 - c)+ x s & z z (1 - c) + c & 0 \\ 0 & 0 & 0 & 1 \end{matrix})$

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

If the matrix mode is either GL_MODELVIEW or GL_PROJECTION, all objects drawn after glRotate is called are rotated. Use glPushMatrix and glPopMatrix 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

GL_INVALID_OPERATION is generated if glRotate 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