zlapmr.f

Go to the documentation of this file.

*> \brief \b ZLAPMR rearranges rows of a matrix as specified by a permutation vector.
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at 
*            http://www.netlib.org/lapack/explore-html/ 
*
*> \htmlonly
*> Download ZLAPMR + dependencies 
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlapmr.f"> 
*> [TGZ]</a> 
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlapmr.f"> 
*> [ZIP]</a> 
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlapmr.f"> 
*> [TXT]</a>
*> \endhtmlonly 
*
*  Definition:
*  ===========
*
*       SUBROUTINE ZLAPMR( 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
*>
*> ZLAPMR rearranges the rows of the M by N matrix X as specified
*> by the permutation K(1),K(2),...,K(M) of the integers 1,...,M.
*> If FORWRD = .TRUE.,  forward permutation:
*>
*>      X(K(I),*) is moved X(I,*) for I = 1,2,...,M.
*>
*> If FORWRD = .FALSE., backward permutation:
*>
*>      X(I,*) is moved to X(K(I),*) for I = 1,2,...,M.
*> \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 (M)
*>          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 September 2012
*
*> \ingroup complex16OTHERauxiliary
*
*  =====================================================================
      SUBROUTINE zlapmr( FORWRD, M, N, X, LDX, K )
*
*  -- LAPACK auxiliary routine (version 3.4.2) --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*     September 2012
*
*     .. Scalar Arguments ..
      LOGICAL            forwrd
      INTEGER            ldx, m, n
*     ..
*     .. Array Arguments ..
      INTEGER            k( * )
      COMPLEX*16         x( ldx, * )
*     ..
*
*  =====================================================================
*
*     .. Local Scalars ..
      INTEGER            i, in, j, jj
      COMPLEX*16         temp
*     ..
*     .. Executable Statements ..
*
      IF( m.LE.1 )
     $   return
*
      DO 10 i = 1, m
         k( i ) = -k( i )
   10 continue
*
      IF( forwrd ) THEN
*
*        Forward permutation
*
         DO 50 i = 1, m
*
            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 jj = 1, n
               temp = x( j, jj )
               x( j, jj ) = x( in, jj )
               x( in, jj ) = 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, m
*
            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 jj = 1, n
               temp = x( i, jj )
               x( i, jj ) = x( j, jj )
               x( j, jj ) = temp
   70       continue
*
            k( j ) = -k( j )
            j = k( j )
            go to 60
*
   80       continue
*
   90    continue
*
      END IF
*
      return
*
*     End of ZLAPMT
*
      END