File: pdlared2d.f

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      SUBROUTINE PDLARED2D( N, IA, JA, DESC, BYROW, BYALL, WORK, LWORK )
*
*  -- ScaLAPACK routine (version 1.7) --
*     University of Tennessee, Knoxville, Oak Ridge National Laboratory,
*     and University of California, Berkeley.
*     December 12, 2005
*
*     .. Scalar Arguments ..
      INTEGER            IA, JA, LWORK, N
*     ..
*     .. Array Arguments ..
      INTEGER            DESC( * )
      DOUBLE PRECISION   BYALL( * ), BYROW( * ), WORK( LWORK )
*     ..
*
*  Purpose
*  =======
*
*  PDLARED2D redistributes a 1D array
*
*  It assumes that the input array, BYROW, is distributed across
*  columns and that all process rows contain the same copy of
*  BYROW.  The output array, BYALL, will be identical on all processes
*  and will contain the entire array.
*
*  Notes
*  =====
*
*  Each global data object is described by an associated description
*  vector.  This vector stores the information required to establish
*  the mapping between an object element and its corresponding process
*  and memory location.
*
*  Let A be a generic term for any 2D block cyclicly distributed array.
*  Such a global array has an associated description vector DESCA.
*  In the following comments, the character _ should be read as
*  "of the global array".
*
*  NOTATION        STORED IN      EXPLANATION
*  --------------- -------------- --------------------------------------
*  DTYPE_A(global) DESCA( DTYPE_ )The descriptor type.  In this case,
*                                 DTYPE_A = 1.
*  CTXT_A (global) DESCA( CTXT_ ) The BLACS context handle, indicating
*                                 the BLACS process grid A is distribu-
*                                 ted over. The context itself is glo-
*                                 bal, but the handle (the integer
*                                 value) may vary.
*  M_A    (global) DESCA( M_ )    The number of rows in the global
*                                 array A.
*  N_A    (global) DESCA( N_ )    The number of columns in the global
*                                 array A.
*  MB_A   (global) DESCA( MB_ )   The blocking factor used to distribute
*                                 the rows of the array.
*  NB_A   (global) DESCA( NB_ )   The blocking factor used to distribute
*                                 the columns of the array.
*  RSRC_A (global) DESCA( RSRC_ ) The process row over which the first
*                                 row of the array A is distributed.
*  CSRC_A (global) DESCA( CSRC_ ) The process column over which the
*                                 first column of the array A is
*                                 distributed.
*  LLD_A  (local)  DESCA( LLD_ )  The leading dimension of the local
*                                 array.  LLD_A >= MAX(1,LOCr(M_A)).
*
*  Let K be the number of rows or columns of a distributed matrix,
*  and assume that its process grid has dimension p x q.
*  LOCr( K ) denotes the number of elements of K that a process
*  would receive if K were distributed over the p processes of its
*  process column.
*  Similarly, LOCc( K ) denotes the number of elements of K that a
*  process would receive if K were distributed over the q processes of
*  its process row.
*  The values of LOCr() and LOCc() may be determined via a call to the
*  ScaLAPACK tool function, NUMROC:
*          LOCr( M ) = NUMROC( M, MB_A, MYROW, RSRC_A, NPROW ),
*          LOCc( N ) = NUMROC( N, NB_A, MYCOL, CSRC_A, NPCOL ).
*  An upper bound for these quantities may be computed by:
*          LOCr( M ) <= ceil( ceil(M/MB_A)/NPROW )*MB_A
*          LOCc( N ) <= ceil( ceil(N/NB_A)/NPCOL )*NB_A
*
*  Arguments
*  =========
*
*    NP = Number of local rows in BYROW()
*
*  N       (global input) INTEGER
*          The number of elements to be redistributed.  N >= 0.
*
*  IA      (global input) INTEGER
*          IA must be equal to 1
*
*  JA      (global input) INTEGER
*          JA must be equal to 1
*
*  DESC    (global/local input) INTEGER Array of dimension DLEN_
*          A 2D array descriptor, which describes BYROW
*
*  BYROW   (local input) distributed block cyclic DOUBLE PRECISION array
*          global dimension (N), local dimension (NP)
*          BYROW is distributed across the process columns
*          All process rows are assumed to contain the same value
*
*  BYALL   (global output) DOUBLE PRECISION global dimension( N )
*          local dimension (N)
*          BYALL is exactly duplicated on all processes
*          It contains the same values as BYROW, but it is replicated
*          across all processes rather than being distributed
*
*          BYALL(i) = BYROW( NUMROC(i,DESC( MB_ ),MYCOL,0,NPCOL ) on the procs
*          whose MYCOL == mod((i-1)/DESC( MB_ ),NPCOL)
*
*  WORK    (local workspace) DOUBLE PRECISION dimension (LWORK)
*          Used to hold the buffers sent from one process to another
*
*  LWORK   (local input) INTEGER size of WORK array
*          LWORK >= NUMROC(N, DESC( MB_ ), 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            ALLI, BUFLEN, I, II, MB, MYCOL, MYROW, NPCOL,
     $                   NPROW, PROW
*     ..
*     .. External Functions ..
      INTEGER            NUMROC
      EXTERNAL           NUMROC
*     ..
*     .. External Subroutines ..
      EXTERNAL           BLACS_GRIDINFO, DCOPY, DGEBR2D, DGEBS2D
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          MIN
*     ..
*     .. Executable Statements ..
*       This is just to keep ftnchek happy
      IF( BLOCK_CYCLIC_2D*CSRC_*CTXT_*DLEN_*DTYPE_*LLD_*MB_*M_*NB_*N_*
     $    RSRC_.LT.0 )RETURN
*
      CALL BLACS_GRIDINFO( DESC( CTXT_ ), NPROW, NPCOL, MYROW, MYCOL )
      MB = DESC( MB_ )
*
      DO 30 PROW = 0, NPROW - 1
         BUFLEN = NUMROC( N, MB, PROW, 0, NPROW )
         IF( MYROW.EQ.PROW ) THEN
            CALL DCOPY( BUFLEN, BYROW, 1, WORK, 1 )
            CALL DGEBS2D( DESC( CTXT_ ), 'C', ' ', BUFLEN, 1, WORK,
     $                    BUFLEN )
         ELSE
            CALL DGEBR2D( DESC( CTXT_ ), 'C', ' ', BUFLEN, 1, WORK,
     $                    BUFLEN, PROW, MYCOL )
         END IF
*
         ALLI = PROW*MB
         DO 20 II = 1, BUFLEN, MB
            DO 10 I = 1, MIN( MB, BUFLEN-II+1 )
               BYALL( ALLI+I ) = WORK( II-1+I )
   10       CONTINUE
            ALLI = ALLI + MB*NPROW
   20    CONTINUE
   30 CONTINUE
*
      RETURN
*
*     End of PSLARED2D
*
      END