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*> \brief \b ZLAPMT performs a forward or backward permutation of the columns of a matrix.
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
*> Download ZLAPMT + dependencies
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlapmt.f">
*> [TGZ]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlapmt.f">
*> [ZIP]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlapmt.f">
*> [TXT]</a>
*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLAPMT( FORWRD, M, N, X, LDX, K )
*
* .. Scalar Arguments ..
* LOGICAL FORWRD
* INTEGER LDX, M, N
* ..
* .. Array Arguments ..
* INTEGER K( * )
* COMPLEX*16 X( LDX, * )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> ZLAPMT rearranges the columns of the M by N matrix X as specified
*> by the permutation K(1),K(2),...,K(N) of the integers 1,...,N.
*> If FORWRD = .TRUE., forward permutation:
*>
*> X(*,K(J)) is moved X(*,J) for J = 1,2,...,N.
*>
*> If FORWRD = .FALSE., backward permutation:
*>
*> X(*,J) is moved to X(*,K(J)) for J = 1,2,...,N.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] FORWRD
*> \verbatim
*> FORWRD is LOGICAL
*> = .TRUE., forward permutation
*> = .FALSE., backward permutation
*> \endverbatim
*>
*> \param[in] M
*> \verbatim
*> M is INTEGER
*> The number of rows of the matrix X. M >= 0.
*> \endverbatim
*>
*> \param[in] N
*> \verbatim
*> N is INTEGER
*> The number of columns of the matrix X. N >= 0.
*> \endverbatim
*>
*> \param[in,out] X
*> \verbatim
*> X is COMPLEX*16 array, dimension (LDX,N)
*> On entry, the M by N matrix X.
*> On exit, X contains the permuted matrix X.
*> \endverbatim
*>
*> \param[in] LDX
*> \verbatim
*> LDX is INTEGER
*> The leading dimension of the array X, LDX >= MAX(1,M).
*> \endverbatim
*>
*> \param[in,out] K
*> \verbatim
*> K is INTEGER array, dimension (N)
*> On entry, K contains the permutation vector. K is used as
*> internal workspace, but reset to its original value on
*> output.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date December 2016
*
*> \ingroup complex16OTHERauxiliary
*
* =====================================================================
SUBROUTINE ZLAPMT( FORWRD, M, N, X, LDX, K )
*
* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* December 2016
*
* .. Scalar Arguments ..
LOGICAL FORWRD
INTEGER LDX, M, N
* ..
* .. Array Arguments ..
INTEGER K( * )
COMPLEX*16 X( LDX, * )
* ..
*
* =====================================================================
*
* .. Local Scalars ..
INTEGER I, II, IN, J
COMPLEX*16 TEMP
* ..
* .. Executable Statements ..
*
IF( N.LE.1 )
$ RETURN
*
DO 10 I = 1, N
K( I ) = -K( I )
10 CONTINUE
*
IF( FORWRD ) THEN
*
* Forward permutation
*
DO 50 I = 1, N
*
IF( K( I ).GT.0 )
$ GO TO 40
*
J = I
K( J ) = -K( J )
IN = K( J )
*
20 CONTINUE
IF( K( IN ).GT.0 )
$ GO TO 40
*
DO 30 II = 1, M
TEMP = X( II, J )
X( II, J ) = X( II, IN )
X( II, IN ) = TEMP
30 CONTINUE
*
K( IN ) = -K( IN )
J = IN
IN = K( IN )
GO TO 20
*
40 CONTINUE
*
50 CONTINUE
*
ELSE
*
* Backward permutation
*
DO 90 I = 1, N
*
IF( K( I ).GT.0 )
$ GO TO 80
*
K( I ) = -K( I )
J = K( I )
60 CONTINUE
IF( J.EQ.I )
$ GO TO 80
*
DO 70 II = 1, M
TEMP = X( II, I )
X( II, I ) = X( II, J )
X( II, J ) = TEMP
70 CONTINUE
*
K( J ) = -K( J )
J = K( J )
GO TO 60
*
80 CONTINUE
*
90 CONTINUE
*
END IF
*
RETURN
*
* End of ZLAPMT
*
END
|
