SUBROUTINE INFOG2L( GRINDX, GCINDX, DESC, NPROW, NPCOL, MYROW,
$ MYCOL, LRINDX, LCINDX, RSRC, CSRC )
*
* -- ScaLAPACK tools routine (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* May 1, 1997
*
* .. Scalar Arguments ..
INTEGER CSRC, GCINDX, GRINDX, LRINDX, LCINDX, MYCOL,
$ MYROW, NPCOL, NPROW, RSRC
* ..
* .. Array Arguments ..
INTEGER DESC( * )
* ..
*
* Purpose
* =======
*
* INFOG2L computes the starting local indexes LRINDX, LCINDX corres-
* ponding to the distributed submatrix starting globally at the entry
* pointed by GRINDX, GCINDX. This routine returns the coordinates in
* the grid of the process owning the matrix entry of global indexes
* GRINDX, GCINDX, namely RSRC and CSRC.
*
* 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
* =========
*
* GRINDX (global input) INTEGER
* The global row starting index of the submatrix.
*
* GCINDX (global input) INTEGER
* The global column starting index of the submatrix.
*
* DESC (input) INTEGER array of dimension DLEN_.
* The array descriptor for the underlying distributed matrix.
*
* NPROW (global input) INTEGER
* The total number of process rows over which the distributed
* matrix is distributed.
*
* NPCOL (global input) INTEGER
* The total number of process columns over which the
* distributed matrix is distributed.
*
* MYROW (local input) INTEGER
* The row coordinate of the process calling this routine.
*
* MYCOL (local input) INTEGER
* The column coordinate of the process calling this routine.
*
* LRINDX (local output) INTEGER
* The local rows starting index of the submatrix.
*
* LCINDX (local output) INTEGER
* The local columns starting index of the submatrix.
*
* RSRC (global output) INTEGER
* The row coordinate of the process that possesses the first
* row and column of the submatrix.
*
* CSRC (global output) INTEGER
* The column coordinate of the process that possesses the
* first row and column of the submatrix.
*
* =====================================================================
*
* .. Parameters ..
INTEGER BLOCK_CYCLIC_2D, CSRC_, CTXT_, DLEN_, DTYPE_,
$ LLD_, MB_, M_, NB_, N_, RSRC_
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 CBLK, GCCPY, GRCPY, RBLK
* ..
* .. Intrinsic Functions ..
INTRINSIC MOD
* ..
* .. Executable Statements ..
*
GRCPY = GRINDX-1
GCCPY = GCINDX-1
*
RBLK = GRCPY / DESC(MB_)
CBLK = GCCPY / DESC(NB_)
RSRC = MOD( RBLK + DESC(RSRC_), NPROW )
CSRC = MOD( CBLK + DESC(CSRC_), NPCOL )
*
LRINDX = ( RBLK / NPROW + 1 ) * DESC(MB_) + 1
LCINDX = ( CBLK / NPCOL + 1 ) * DESC(NB_) + 1
*
IF( MOD( MYROW+NPROW-DESC(RSRC_), NPROW ) .GE.
$ MOD( RBLK, NPROW ) ) THEN
IF( MYROW.EQ.RSRC )
$ LRINDX = LRINDX + MOD( GRCPY, DESC(MB_) )
LRINDX = LRINDX - DESC(MB_)
END IF
*
IF( MOD( MYCOL+NPCOL-DESC(CSRC_), NPCOL ) .GE.
$ MOD( CBLK, NPCOL ) ) THEN
IF( MYCOL.EQ.CSRC )
$ LCINDX = LCINDX + MOD( GCCPY, DESC(NB_) )
LCINDX = LCINDX - DESC(NB_)
END IF
*
RETURN
*
* End of INFOG2L
*
END