rot13(6) [freebsd man page]

CAESAR(6)							 BSD Games Manual							 CAESAR(6)

NAME

     caesar, rot13 -- decrypt caesar ciphers

SYNOPSIS

     caesar [rotation]
     rot13

DESCRIPTION

     The caesar utility attempts to decrypt caesar ciphers using English letter frequency statistics.  Caesar reads from the standard input and
     writes to the standard output.

     The optional numerical argument rotation may be used to specify a specific rotation value.  If invoked as rot13, a rotation value of 13 will
     be used.

     The frequency (from most common to least) of English letters is as follows:

	   ETAONRISHDLFCMUGPYWBVKXJQZ

     Their frequencies as a percentage are as follows:

	   E(13), T(10.5), A(8.1), O(7.9), N(7.1), R(6.8), I(6.3), S(6.1), H(5.2), D(3.8), L(3.4), F(2.9), C(2.7), M(2.5), U(2.4), G(2), P(1.9),
	   Y(1.9), W(1.5), B(1.4), V(.9), K(.4), X(.15), J(.13), Q(.11), Z(.07).

     Rotated postings to USENET and some of the databases used by the fortune(6) program are rotated by 13 characters.

BSD
								 November 16, 1993							       BSD

GLROTATE(3G)															      GLROTATE(3G)

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:

							   x2(1-c)+c  xy(1-c)-zs xz(1-c)+ys 0
							  (yx(1-c)+zs y2(1-c)+c  yz(1-c)-xs 0)
							   xz(1-c)-ys yz(1-c)+xs z2(1-c)+c  0
							       0	  0	     0	    1
       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 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)

																      GLROTATE(3G)