SUBROUTINE INFOG2L( GRINDX, GCINDX, DESC, NPROW, NPCOL, MYROW, & & MYCOL, LRINDX, LCINDX, RSRC, CSRC ) ! ! -- ScaLAPACK tools routine (version 1.5) -- ! 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