NAME

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

C SPECIFICATION

void ggllRRoottaatteedd( GLdouble _a_n_g_l_e,
                GLdouble _x,
                GLdouble _y,
                GLdouble _z )
void ggllRRoottaatteeff( GLfloat _a_n_g_l_e,
                GLfloat _x,
                GLfloat _y,
                GLfloat _z )

delim $$

PARAMETERS

_a_n_g_l_e
Specifies the angle of rotation, in degrees.
_x, _y, _z
Specify the _x, _y, and _z coordinates of a vector, respectively.

DESCRIPTION

ggllRRoottaattee produces a rotation of _a_n_g_l_e degrees around the vector $("x", "y", "z")$. The current matrix (see ggllMMaattrriixxMMooddee) is multiplied by a rotation matrix with the product replacing the current matrix, as if ggllMMuullttMMaattrriixx 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 GGLL__MMOODDEELLVVIIEEWW or GGLL__PPRROOJJEECCTTIIOONN, all objects drawn after ggllRRoottaattee is called are rotated. Use ggllPPuusshhMMaattrriixx and ggllPPooppMMaattrriixx 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

GGLL__IINNVVAALLIIDD__OOPPEERRAATTIIOONN is generated if ggllRRoottaattee is executed between the execution of ggllBBeeggiinn and the corresponding execution of ggllEEnndd.

ASSOCIATED GETS

ggllGGeett with argument GGLL__MMAATTRRIIXX__MMOODDEE
ggllGGeett with argument GGLL__CCOOLLOORR__MMAATTRRIIXX
ggllGGeett with argument GGLL__MMOODDEELLVVIIEEWW__MMAATTRRIIXX
ggllGGeett with argument GGLL__PPRROOJJEECCTTIIOONN__MMAATTRRIIXX
ggllGGeett with argument GGLL__TTEEXXTTUURREE__MMAATTRRIIXX

SEE ALSO

ggllMMaattrriixxMMooddee((33GG)), ggllMMuullttMMaattrriixx((33GG)), ggllPPuusshhMMaattrriixx((33GG)), ggllSSccaallee((33GG)), ggllTTrraannssllaattee((33GG))