SUBROUTINE sla_DAV2M (AXVEC, RMAT) *+ * - - - - - - * D A V 2 M * - - - - - - * * Form the rotation matrix corresponding to a given axial vector. * (double precision) * * A rotation matrix describes a rotation about some arbitrary axis. * The axis is called the Euler axis, and the angle through which the * reference frame rotates is called the Euler angle. The axial * vector supplied to this routine has the same direction as the * Euler axis, and its magnitude is the Euler angle in radians. * * Given: * AXVEC d(3) axial vector (radians) * * Returned: * RMAT d(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. * * P.T.Wallace Starlink June 1989 * * Copyright (C) 1995 Rutherford Appleton Laboratory *- IMPLICIT NONE DOUBLE PRECISION AXVEC(3),RMAT(3,3) DOUBLE PRECISION X,Y,Z,PHI,S,C,W * Euler 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 = 1D0-C * Euler axis - direction of axial vector (perhaps null) IF (PHI.NE.0D0) 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