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:

$\left(\begin{array}{cccc}{x}^2(1-c)+c& xy(1-c)-zs& xz(1-c)+ys& 0\\ yx(1-c)+zs& y^2(1-c)+c& yz(1-c)-xs& 0\\ xz(1-c)-ys& yz(1-c)+xs& z^2(1-c)+c& 0\\ 0& 0& 0& 1\end{array}\right)$

Where $c=\cos \left(\mathrm{angle}\right)$ , $s=\sin \left(\mathrm{angle}\right)$ , 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_COLOR_MATRIX
glGet with argument GL_MODELVIEW_MATRIX
glGet with argument GL_PROJECTION_MATRIX
glGet with argument GL_TEXTURE_MATRIX

SEE ALSO¶

glMatrixMode(3G), glMultMatrix(3G), glPushMatrix(3G), glScale(3G), glTranslate(3G)