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69 lines
1.7 KiB
Fortran
69 lines
1.7 KiB
Fortran
SUBROUTINE sla_IMXV (RM, VA, VB)
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*+
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* - - - - -
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* I M X V
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* - - - - -
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*
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* Performs the 3-D backward unitary transformation:
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*
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* vector VB = (inverse of matrix RM) * vector VA
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*
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* (single precision)
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*
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* (n.b. the matrix must be unitary, as this routine assumes that
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* the inverse and transpose are identical)
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*
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* Given:
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* RM real(3,3) matrix
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* VA real(3) vector
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*
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* Returned:
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* VB real(3) result vector
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*
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* P.T.Wallace Starlink November 1984
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*
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* Copyright (C) 1995 Rutherford Appleton Laboratory
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*
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* License:
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program (see SLA_CONDITIONS); if not, write to the
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* Free Software Foundation, Inc., 59 Temple Place, Suite 330,
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* Boston, MA 02111-1307 USA
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*
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*-
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IMPLICIT NONE
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REAL RM(3,3),VA(3),VB(3)
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INTEGER I,J
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REAL W,VW(3)
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* Inverse of matrix RM * vector VA -> vector VW
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DO J=1,3
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W=0.0
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DO I=1,3
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W=W+RM(I,J)*VA(I)
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END DO
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VW(J)=W
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END DO
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* Vector VW -> vector VB
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DO J=1,3
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VB(J)=VW(J)
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END DO
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END
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