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201 lines
4.6 KiB
201 lines
4.6 KiB
2 years ago
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*> \brief \b CLAPMT performs a forward or backward permutation of the columns of a matrix.
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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*> \htmlonly
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*> Download CLAPMT + dependencies
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clapmt.f">
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*> [TGZ]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clapmt.f">
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*> [ZIP]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clapmt.f">
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*> [TXT]</a>
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*> \endhtmlonly
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE CLAPMT( FORWRD, M, N, X, LDX, K )
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*
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* .. Scalar Arguments ..
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* LOGICAL FORWRD
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* INTEGER LDX, M, N
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* ..
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* .. Array Arguments ..
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* INTEGER K( * )
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* COMPLEX X( LDX, * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> CLAPMT rearranges the columns of the M by N matrix X as specified
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*> by the permutation K(1),K(2),...,K(N) of the integers 1,...,N.
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*> If FORWRD = .TRUE., forward permutation:
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*>
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*> X(*,K(J)) is moved X(*,J) for J = 1,2,...,N.
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*>
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*> If FORWRD = .FALSE., backward permutation:
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*>
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*> X(*,J) is moved to X(*,K(J)) for J = 1,2,...,N.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] FORWRD
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*> \verbatim
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*> FORWRD is LOGICAL
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*> = .TRUE., forward permutation
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*> = .FALSE., backward permutation
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*> \endverbatim
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*>
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*> \param[in] M
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*> \verbatim
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*> M is INTEGER
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*> The number of rows of the matrix X. M >= 0.
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*> \endverbatim
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*>
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*> \param[in] N
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*> \verbatim
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*> N is INTEGER
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*> The number of columns of the matrix X. N >= 0.
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*> \endverbatim
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*>
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*> \param[in,out] X
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*> \verbatim
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*> X is COMPLEX array, dimension (LDX,N)
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*> On entry, the M by N matrix X.
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*> On exit, X contains the permuted matrix X.
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*> \endverbatim
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*>
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*> \param[in] LDX
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*> \verbatim
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*> LDX is INTEGER
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*> The leading dimension of the array X, LDX >= MAX(1,M).
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*> \endverbatim
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*>
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*> \param[in,out] K
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*> \verbatim
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*> K is INTEGER array, dimension (N)
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*> On entry, K contains the permutation vector. K is used as
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*> internal workspace, but reset to its original value on
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*> output.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup complexOTHERauxiliary
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*
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* =====================================================================
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SUBROUTINE CLAPMT( FORWRD, M, N, X, LDX, K )
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*
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* -- LAPACK auxiliary routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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LOGICAL FORWRD
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INTEGER LDX, M, N
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* ..
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* .. Array Arguments ..
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INTEGER K( * )
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COMPLEX X( LDX, * )
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* ..
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*
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* =====================================================================
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*
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* .. Local Scalars ..
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INTEGER I, II, J, IN
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COMPLEX TEMP
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* ..
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* .. Executable Statements ..
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*
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IF( N.LE.1 )
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$ RETURN
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*
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DO 10 I = 1, N
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K( I ) = -K( I )
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10 CONTINUE
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*
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IF( FORWRD ) THEN
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*
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* Forward permutation
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*
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DO 60 I = 1, N
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*
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IF( K( I ).GT.0 )
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$ GO TO 40
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*
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J = I
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K( J ) = -K( J )
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IN = K( J )
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*
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20 CONTINUE
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IF( K( IN ).GT.0 )
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$ GO TO 40
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*
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DO 30 II = 1, M
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TEMP = X( II, J )
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X( II, J ) = X( II, IN )
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X( II, IN ) = TEMP
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30 CONTINUE
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*
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K( IN ) = -K( IN )
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J = IN
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IN = K( IN )
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GO TO 20
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*
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40 CONTINUE
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*
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60 CONTINUE
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*
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ELSE
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*
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* Backward permutation
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*
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DO 110 I = 1, N
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*
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IF( K( I ).GT.0 )
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$ GO TO 100
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*
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K( I ) = -K( I )
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J = K( I )
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80 CONTINUE
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IF( J.EQ.I )
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$ GO TO 100
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*
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DO 90 II = 1, M
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TEMP = X( II, I )
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X( II, I ) = X( II, J )
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X( II, J ) = TEMP
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90 CONTINUE
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*
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K( J ) = -K( J )
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J = K( J )
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GO TO 80
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*
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100 CONTINUE
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110 CONTINUE
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*
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END IF
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*
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RETURN
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*
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* End of CLAPMT
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*
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END
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