SUBROUTINE sla_AV2M (AXVEC, RMAT) *+ * - - - - - * A V 2 M * - - - - - * * Form the rotation matrix corresponding to a given axial vector. * * (single precision) * * A rotation matrix describes a rotation about some arbitrary axis, * called the Euler axis. The "axial vector" supplied to this routine * has the same direction as the Euler axis, and its magnitude is the * amount of rotation in radians. * * Given: * AXVEC r(3) axial vector (radians) * * Returned: * RMAT r(3,3) rotation matrix * * If AXVEC is null, the unit matrix is returned. * * The reference frame rotates clockwise as seen looking along * the axial vector from the origin. * * Last revision: 26 November 2005 * * Copyright P.T.Wallace. All rights reserved. * * License: * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program (see SLA_CONDITIONS); if not, write to the * Free Software Foundation, Inc., 59 Temple Place, Suite 330, * Boston, MA 02111-1307 USA * *- IMPLICIT NONE REAL AXVEC(3),RMAT(3,3) REAL X,Y,Z,PHI,S,C,W * Rotation angle - magnitude of axial vector - and functions X = AXVEC(1) Y = AXVEC(2) Z = AXVEC(3) PHI = SQRT(X*X+Y*Y+Z*Z) S = SIN(PHI) C = COS(PHI) W = 1.0-C * Euler axis - direction of axial vector (perhaps null) IF (PHI.NE.0.0) THEN X = X/PHI Y = Y/PHI Z = Z/PHI END IF * Compute the rotation matrix RMAT(1,1) = X*X*W+C RMAT(1,2) = X*Y*W+Z*S RMAT(1,3) = X*Z*W-Y*S RMAT(2,1) = X*Y*W-Z*S RMAT(2,2) = Y*Y*W+C RMAT(2,3) = Y*Z*W+X*S RMAT(3,1) = X*Z*W+Y*S RMAT(3,2) = Y*Z*W-X*S RMAT(3,3) = Z*Z*W+C END