pclatran.f

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      SUBROUTINE pclatran( N, NB, A, IA, JA, DESCA, WORK )
*
*  -- ScaLAPACK auxiliary routine (version 1.7) --
*     University of Tennessee, Knoxville, Oak Ridge National Laboratory,
*     and University of California, Berkeley.
*     October 15, 1999
*
*     .. Scalar Arguments ..
      INTEGER            IA, JA, N, NB
*     ..
*     .. Array Arguments ..
      INTEGER            DESCA( * )
      COMPLEX            A( * ), WORK( * )
*     ..
*
*  Purpose
*
*  =======
*
*  PCLATRAN transpose a lower triangular matrix on to the upper
*  triangular portion of the same matrix.
*
*  This is an auxiliary routine called by PCHETRD.
*
*  Notes
*  =====
*
*  IA must equal 1
*  JA must equal 1
*  DESCA( MB_ ) must equal 1
*  DESCA( NB_ ) must equal 1
*  DESCA( RSRC_ ) must equal 1
*  DESCA( CSRC_ ) must equal 1
*
*
*  Arguments
*  =========
*
*  N       (global input) INTEGER
*          The size of the matrix to be transposed.
*
*  NB      (global input) INTEGER
*          The number of rows and columns to be transposed with each
*          message sent.  NB has no impact on the result, it is striclty
*          a performance tuning parameter.
*
*  A       (local input/local output) COMPLEX*16 pointer into the
*          local memory to an array of dimension (LLD_A,LOCc(JA+N-1)).
*          On entry, this array contains the local pieces of the
*          Hermitian distributed matrix sub( A ).  On entry, the
*          leading N-by-N upper triangular part of sub( A ) contains
*          the upper triangular part of the matrix. On exit, the
*          leading N-by-N lower triangular part of sub( A ) contains the
*          lower triangular part of the matrix, and its strictly upper
*          triangular part is undefined (and may have been modified).
*
*  IA      (global input) INTEGER
*          A's global row index, which points to the beginning of the
*          submatrix which is to be operated on.
*          Must be equal to 1.
*
*  JA      (global input) INTEGER
*          A's global column index, which points to the beginning of
*          the submatrix which is to be operated on.
*          Must be equal to 1.
*
*  DESCA   (global and local input) INTEGER array of dimension DLEN_.
*          The array descriptor for the distributed matrix A.
*          DESCA( MB_ ) must equal 1
*          DESCA( NB_ ) must equal 1
*          DESCA( ICTXT_ ) must point to a square process grid
*            i.e. one where NPROW is equal to NPCOL
*
*  WORK    (local workspace) COMPLEX*16 array, dimension ( LWORK )
*
*          Where:
*          LWORK >= NB * NUMROC( N, 1, 0, 0, NPROW )
*
*  =====================================================================
*
*     .. Parameters ..
      INTEGER            BLOCK_CYCLIC_2D, DLEN_, DTYPE_, CTXT_, M_, N_,
     $                   MB_, NB_, RSRC_, CSRC_, LLD_
      parameter( block_cyclic_2d = 1, dlen_ = 9, dtype_ = 1,
     $                   ctxt_ = 2, m_ = 3, n_ = 4, mb_ = 5, nb_ = 6,
     $                   rsrc_ = 7, csrc_ = 8, lld_ = 9 )
*     ..
*     .. Local Scalars ..
      INTEGER            I, ICTXT, IRECV, ISEND, J, JJ, JRECV, JSEND,
     $                   LDA, MAXIRECV, MAXISEND, MAXJRECV, MAXJSEND,
     $                   MINIRECV, MINISEND, MINJRECV, MINJSEND, MYCOL,
     $                   MYROW, NP, NPCOL, NPROW, NQ, RECVNB, SENDNB,
     $                   STARTCOL, STARTROW
*     ..
*     .. External Subroutines ..
      EXTERNAL           blacs_gridinfo, ctrrv2d, ctrsd2d
*     ..
*     .. External Functions ..
      INTEGER            NUMROC
      EXTERNAL           numroc
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          conjg, max, min
*     ..
*     .. Executable Statements ..
*       This is just to keep ftnchek and toolpack/1 happy
      IF( block_cyclic_2d*csrc_*ctxt_*dlen_*dtype_*lld_*mb_*m_*nb_*n_*
     $    rsrc_.LT.0 )RETURN
*
*     Further details
*
*     Because the processor grid is square each process needs only send
*     data to its transpose process.  (Likewsie it need only receive
*     data from its transpose process.)  Because the data decomposition
*     is cyclic, the local portion of the array is triangular.
*
*     This routine requires that the data be buffered (i.e. copied)
*     on the sending process (because of the triangular shape) and
*     unbuffered on the receiving process.  Hence, two local memory to
*     memory copies are performed within the communications routines
*     followed by a memory to memory copy outside of the communications
*     routines.  It would be nice to avoid having back to back memory
*     to memory copies (as we do presently on the receiving processor).
*     This could be done by packaging the data ourselves in the sender
*     and then unpacking it directly into the matrix.  However, this
*     code seems cleaner and so since this routine is not a significant
*     performance bottleneck we have left it this way.
*
*
*
*
*     Quick return if possible
*
      IF( n.LE.0 )
     $   RETURN
*
      ictxt = desca( ctxt_ )
      lda = desca( lld_ )
      CALL blacs_gridinfo( ictxt, nprow, npcol, myrow, mycol )
*
*
      np = numroc( n, 1, myrow, 0, nprow )
      nq = numroc( n, 1, mycol, 0, npcol )
*
*
      IF( myrow.EQ.mycol ) THEN
*
         DO 20 j = 1, np
            DO 10 i = j + 1, nq
               a( j+( i-1 )*lda ) = conjg( a( i+( j-1 )*lda ) )
   10       CONTINUE
   20    CONTINUE
*
      ELSE
         IF( myrow.GT.mycol ) THEN
            startrow = 1
            startcol = 2
         ELSE
            IF( myrow.EQ.mycol ) THEN
               startrow = 2
               startcol = 2
            ELSE
               startrow = 2
               startcol = 1
            END IF
         END IF
*
         DO 50 jj = 1, max( np, nq ), nb
            minjsend = startcol + jj - 1
            minjrecv = startrow + jj - 1
            maxjsend = min( minjsend+nb-1, nq )
            maxjrecv = min( minjrecv+nb-1, np )
*
            sendnb = maxjsend - minjsend + 1
            recvnb = maxjrecv - minjrecv + 1
*
            minisend = 1
            minirecv = 1
            maxisend = min( np, jj+sendnb-1 )
            maxirecv = min( nq, jj+recvnb-1 )
*
            isend = maxisend - minisend + 1
            irecv = maxirecv - minirecv + 1
            jsend = maxjsend - minjsend + 1
            jrecv = maxjrecv - minjrecv + 1
*
*
*
            DO 40 j = minjrecv, maxjrecv
               DO 30 i = minirecv, maxirecv + j - maxjrecv
                  work( i+( j-minjrecv )*irecv )
     $               = conjg( a( j+( i-1 )*lda ) )
   30          CONTINUE
   40       CONTINUE
*
            IF( irecv.GT.0 .AND. jrecv.GT.0 )
     $         CALL ctrsd2d( ictxt, 'U', 'N', irecv, jrecv, work, irecv,
     $                       mycol, myrow )
*
            IF( isend.GT.0 .AND. jsend.GT.0 )
     $         CALL ctrrv2d( ictxt, 'U', 'N', isend, jsend,
     $                       a( minisend+( minjsend-1 )*lda ), lda,
     $                       mycol, myrow )
*
*
   50    CONTINUE
*
      END IF
*
      RETURN
*
*     End of PCLATRD
*
      END