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SRC\pdlacp2.f |
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| #lines: 406 size: 15 Kb creation: 18/01/2006 23:36:04 last modification: 08/05/2008 18:37:53 attribute: ARCH Find Reload | |
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SUBROUTINE PDLACP2( UPLO, M, N, A, IA, JA, DESCA, B, IB, JB,
$ DESCB )
*
* -- ScaLAPACK auxiliary routine (version 1.7) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* November 15, 1997
*
* .. Scalar Arguments ..
CHARACTER UPLO
INTEGER IA, IB, JA, JB, M, N
* ..
* .. Array Arguments ..
INTEGER DESCA( * ), DESCB( * )
DOUBLE PRECISION A( * ), B( * )
* ..
*
* Purpose
* =======
*
* PDLACP2 copies all or part of a distributed matrix A to another
* distributed matrix B. No communication is performed, PDLACP2
* performs a local copy sub( A ) := sub( B ), where sub( A ) denotes
* A(IA:IA+M-1,JA:JA+N-1) and sub( B ) denotes B(IB:IB+M-1,JB:JB+N-1).
* PDLACP2 requires that only dimension of the matrix operands is
* distributed.
*
* 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
* =========
*
* UPLO (global input) CHARACTER
* Specifies the part of the distributed matrix sub( A ) to be
* copied:
* = 'U': Upper triangular part is copied; the strictly
* lower triangular part of sub( A ) is not referenced;
* = 'L': Lower triangular part is copied; the strictly
* upper triangular part of sub( A ) is not referenced;
* Otherwise: All of the matrix sub( A ) is copied.
*
* M (global input) INTEGER
* The number of rows to be operated on i.e the number of rows
* of the distributed submatrix sub( A ). M >= 0.
*
* N (global input) INTEGER
* The number of columns to be operated on i.e the number of
* columns of the distributed submatrix sub( A ). N >= 0.
*
* A (local input) DOUBLE PRECISION pointer into the local memory
* to an array of dimension (LLD_A, LOCc(JA+N-1) ). This array
* contains the local pieces of the distributed matrix sub( A )
* to be copied from.
*
* IA (global input) INTEGER
* The row index in the global array A indicating the first
* row of sub( A ).
*
* JA (global input) INTEGER
* The column index in the global array A indicating the
* first column of sub( A ).
*
* DESCA (global and local input) INTEGER array of dimension DLEN_.
* The array descriptor for the distributed matrix A.
*
* B (local output) DOUBLE PRECISION pointer into the local memory
* to an array of dimension (LLD_B, LOCc(JB+N-1) ). This array
* contains on exit the local pieces of the distributed matrix
* sub( B ) set as follows:
*
* if UPLO = 'U', B(IB+i-1,JB+j-1) = A(IA+i-1,JA+j-1),
* 1<=i<=j, 1<=j<=N;
* if UPLO = 'L', B(IB+i-1,JB+j-1) = A(IA+i-1,JA+j-1),
* j<=i<=M, 1<=j<=N;
* otherwise, B(IB+i-1,JB+j-1) = A(IA+i-1,JA+j-1),
* 1<=i<=M, 1<=j<=N.
*
* IB (global input) INTEGER
* The row index in the global array B indicating the first
* row of sub( B ).
*
* JB (global input) INTEGER
* The column index in the global array B indicating the
* first column of sub( B ).
*
* DESCB (global and local input) INTEGER array of dimension DLEN_.
* The array descriptor for the distributed matrix B.
*
* =====================================================================
*
* .. 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 HEIGHT, IACOL, IAROW, IBASE, IBCOL, IBROW,
$ ICOFFA, IIA, IIAA, IIB, IIBB, IIBEGA, IIBEGB,
$ IIENDA, IINXTA, IINXTB, ILEFT, IRIGHT, IROFFA,
$ ITOP, JJA, JJAA, JJB, JJBB, JJBEGA, JJBEGB,
$ JJENDA, JJNXTA, JJNXTB, LDA, LDB, MBA, MP,
$ MPAA, MYCOL, MYDIST, MYROW, NBA, NPCOL, NPROW,
$ NQ, NQAA, WIDE
* ..
* .. External Subroutines ..
EXTERNAL BLACS_GRIDINFO, DLACPY, INFOG2L
* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ICEIL, NUMROC
EXTERNAL ICEIL, LSAME, NUMROC
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN, MOD
* ..
* .. Executable Statements ..
*
IF( M.EQ.0 .OR. N.EQ.0 )
$ RETURN
*
* Get grid parameters
*
CALL BLACS_GRIDINFO( DESCA( CTXT_ ), NPROW, NPCOL, MYROW, MYCOL )
*
CALL INFOG2L( IA, JA, DESCA, NPROW, NPCOL, MYROW, MYCOL, IIA, JJA,
$ IAROW, IACOL )
CALL INFOG2L( IB, JB, DESCB, NPROW, NPCOL, MYROW, MYCOL, IIB, JJB,
$ IBROW, IBCOL )
*
MBA = DESCA( MB_ )
NBA = DESCA( NB_ )
LDA = DESCA( LLD_ )
IROFFA = MOD( IA-1, MBA )
ICOFFA = MOD( JA-1, NBA )
LDB = DESCB( LLD_ )
*
IF( N.LE.( NBA-ICOFFA ) ) THEN
*
* It is assumed that the local columns JJA:JJA+N-1 of the matrix
* A are in the same process column (IACOL).
*
* N
* JJA JJA+N-1
* / --------------------- \
* IROFFA| | | |
* \ |...................| | ( IAROW )
* IIA |x | | MBA = DESCA( MB_ )
* | x | |
* |--x----------------| /
* | x |
* | x | ITOP
* | x | |
* | x | /-------\
* |-------x-----------| |-------x-----------|
* | x | | x |
* | x | | x |
* | x | | x |
* | x | | x |
* |------------x------| |------------x------|
* | x | \____________/
* | x | |
* | x | IBASE
* | x |
* |-----------------x-| Local picture
* | x|
* | |
* | |
* | |
* |-------------------|
* | |
* . .
* . .
* . (IACOL) .
*
IF( MYCOL.EQ.IACOL ) THEN
*
MP = NUMROC( M+IROFFA, MBA, MYROW, IAROW, NPROW )
IF( MP.LE.0 )
$ RETURN
IF( MYROW.EQ.IAROW )
$ MP = MP - IROFFA
MYDIST = MOD( MYROW-IAROW+NPROW, NPROW )
ITOP = MYDIST * MBA - IROFFA
*
IF( LSAME( UPLO, 'U' ) ) THEN
*
ITOP = MAX( 0, ITOP )
IIBEGA = IIA
IIENDA = IIA + MP - 1
IINXTA = MIN( ICEIL( IIBEGA, MBA ) * MBA, IIENDA )
IIBEGB = IIB
IINXTB = IIBEGB + IINXTA - IIBEGA
*
10 CONTINUE
IF( ( N-ITOP ).GT.0 ) THEN
CALL DLACPY( UPLO, IINXTA-IIBEGA+1, N-ITOP,
$ A( IIBEGA+(JJA+ITOP-1)*LDA ), LDA,
$ B( IIBEGB+(JJB+ITOP-1)*LDB ), LDB )
MYDIST = MYDIST + NPROW
ITOP = MYDIST * MBA - IROFFA
IIBEGA = IINXTA + 1
IINXTA = MIN( IINXTA+MBA, IIENDA )
IIBEGB = IINXTB + 1
IINXTB = IIBEGB + IINXTA - IIBEGA
GO TO 10
END IF
*
ELSE IF( LSAME( UPLO, 'L' ) ) THEN
*
MPAA = MP
IIAA = IIA
JJAA = JJA
IIBB = IIB
JJBB = JJB
IBASE = MIN( ITOP + MBA, N )
ITOP = MIN( MAX( 0, ITOP ), N )
*
20 CONTINUE
IF( JJAA.LE.( JJA+N-1 ) ) THEN
HEIGHT = IBASE - ITOP
CALL DLACPY( 'All', MPAA, ITOP-JJAA+JJA,
$ A( IIAA+(JJAA-1)*LDA ), LDA,
$ B( IIBB+(JJBB-1)*LDB ), LDB )
CALL DLACPY( UPLO, MPAA, HEIGHT,
$ A( IIAA+(JJA+ITOP-1)*LDA ), LDA,
$ B( IIBB+(JJB+ITOP-1)*LDB ), LDB )
MPAA = MAX( 0, MPAA - HEIGHT )
IIAA = IIAA + HEIGHT
JJAA = JJA + IBASE
IIBB = IIBB + HEIGHT
JJBB = JJB + IBASE
MYDIST = MYDIST + NPROW
ITOP = MYDIST * MBA - IROFFA
IBASE = MIN( ITOP + MBA, N )
ITOP = MIN( ITOP, N )
GO TO 20
END IF
*
ELSE
*
CALL DLACPY( 'All', MP, N, A( IIA+(JJA-1)*LDA ),
$ LDA, B( IIB+(JJB-1)*LDB ), LDB )
*
END IF
*
END IF
*
ELSE IF( M.LE.( MBA-IROFFA ) ) THEN
*
* It is assumed that the local rows IIA:IIA+M-1 of the matrix A
* are in the same process row (IAROW).
*
* ICOFFA
* / \JJA
* IIA ------------------ .... --------
* | .x | | | / | | \
* | . x | | | ILEFT| | | |
* | . x | | | | | |
* | . x | | \ x | |
* | . |x | | |x | | IRIGHT
* | . | x | | | x | |
* (IAROW) | . | x | | | x | |
* | . | x| | | x| |
* | . | x | | x /
* | . | |x | | |
* | . | | x | | |
* | . | | x | | |
* | . | | x| | |
* IIA+M-1 ------------------ .... -------
* NB_A
* (IACOL) Local picture
*
IF( MYROW.EQ.IAROW ) THEN
*
NQ = NUMROC( N+ICOFFA, NBA, MYCOL, IACOL, NPCOL )
IF( NQ.LE.0 )
$ RETURN
IF( MYCOL.EQ.IACOL )
$ NQ = NQ - ICOFFA
MYDIST = MOD( MYCOL-IACOL+NPCOL, NPCOL )
ILEFT = MYDIST * NBA - ICOFFA
*
IF( LSAME( UPLO, 'L' ) ) THEN
*
ILEFT = MAX( 0, ILEFT )
JJBEGA = JJA
JJENDA = JJA + NQ - 1
JJNXTA = MIN( ICEIL( JJBEGA, NBA ) * NBA, JJENDA )
JJBEGB = JJB
JJNXTB = JJBEGB + JJNXTA - JJBEGA
*
30 CONTINUE
IF( ( M-ILEFT ).GT.0 ) THEN
CALL DLACPY( UPLO, M-ILEFT, JJNXTA-JJBEGA+1,
$ A( IIA+ILEFT+(JJBEGA-1)*LDA ), LDA,
$ B( IIB+ILEFT+(JJBEGB-1)*LDB ), LDB )
MYDIST = MYDIST + NPCOL
ILEFT = MYDIST * NBA - ICOFFA
JJBEGA = JJNXTA +1
JJNXTA = MIN( JJNXTA+NBA, JJENDA )
JJBEGB = JJNXTB +1
JJNXTB = JJBEGB + JJNXTA - JJBEGA
GO TO 30
END IF
*
ELSE IF( LSAME( UPLO, 'U' ) ) THEN
*
NQAA = NQ
IIAA = IIA
JJAA = JJA
IIBB = IIB
JJBB = JJB
IRIGHT = MIN( ILEFT + NBA, M )
ILEFT = MIN( MAX( 0, ILEFT ), M )
*
40 CONTINUE
IF( IIAA.LE.( IIA+M-1 ) ) THEN
WIDE = IRIGHT - ILEFT
CALL DLACPY( 'All', ILEFT-IIAA+IIA, NQAA,
$ A( IIAA+(JJAA-1)*LDA ), LDA,
$ B( IIBB+(JJBB-1)*LDB ), LDB )
CALL DLACPY( UPLO, WIDE, NQAA,
$ A( IIA+ILEFT+(JJAA-1)*LDA ), LDA,
$ B( IIB+ILEFT+(JJBB-1)*LDB ), LDB )
NQAA = MAX( 0, NQAA - WIDE )
IIAA = IIA + IRIGHT
JJAA = JJAA + WIDE
IIBB = IIB + IRIGHT
JJBB = JJBB + WIDE
MYDIST = MYDIST + NPCOL
ILEFT = MYDIST * NBA - ICOFFA
IRIGHT = MIN( ILEFT + NBA, M )
ILEFT = MIN( ILEFT, M )
GO TO 40
END IF
*
ELSE
*
CALL DLACPY( 'All', M, NQ, A( IIA+(JJA-1)*LDA ),
$ LDA, B( IIB+(JJB-1)*LDB ), LDB )
*
END IF
*
END IF
*
END IF
*
RETURN
*
* End of PDLACP2
*
END
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