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SUBROUTINE PZLACPY( 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.
* May 1, 1997
*
* .. Scalar Arguments ..
CHARACTER UPLO
INTEGER IA, IB, JA, JB, M, N
* ..
* .. Array Arguments ..
INTEGER DESCA( * ), DESCB( * )
COMPLEX*16 A( * ), B( * )
* ..
*
* Purpose
* =======
*
* PZLACPY copies all or part of a distributed matrix A to another
* distributed matrix B. No communication is performed, PZLACPY
* 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).
*
* 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) COMPLEX*16 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) COMPLEX*16 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 I, IAA, IBB, IBLK, IN, ITMP, J, JAA, JBB,
$ JBLK, JN, JTMP
* ..
* .. External Subroutines ..
EXTERNAL PZLACP2
* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ICEIL
EXTERNAL ICEIL, LSAME
* ..
* .. Intrinsic Functions ..
INTRINSIC MIN, MOD
* ..
* .. Executable Statements ..
*
IF( M.EQ.0 .OR. N.EQ.0 )
$ RETURN
*
IN = MIN( ICEIL( IA, DESCA( MB_ ) ) * DESCA( MB_ ), IA+M-1 )
JN = MIN( ICEIL( JA, DESCA( NB_ ) ) * DESCA( NB_ ), JA+N-1 )
*
IF( M.LE.( DESCA( MB_ ) - MOD( IA-1, DESCA( MB_ ) ) ) .OR.
$ N.LE.( DESCA( NB_ ) - MOD( JA-1, DESCA( NB_ ) ) ) ) THEN
CALL PZLACP2( UPLO, M, N, A, IA, JA, DESCA,
$ B, IB, JB, DESCB )
ELSE
*
IF( LSAME( UPLO, 'U' ) ) THEN
CALL PZLACP2( UPLO, IN-IA+1, N, A, IA, JA, DESCA,
$ B, IB, JB, DESCB )
DO 10 I = IN+1, IA+M-1, DESCA( MB_ )
ITMP = I-IA
IBLK = MIN( DESCA( MB_ ), M-ITMP )
IBB = IB + ITMP
JBB = JB + ITMP
JAA = JA + ITMP
CALL PZLACP2( UPLO, IBLK, N-ITMP, A, I, JAA, DESCA,
$ B, IBB, JBB, DESCB )
10 CONTINUE
ELSE IF( LSAME( UPLO, 'L' ) ) THEN
CALL PZLACP2( UPLO, M, JN-JA+1, A, IA, JA, DESCA,
$ B, IB, JB, DESCB )
DO 20 J = JN+1, JA+N-1, DESCA( NB_ )
JTMP = J-JA
JBLK = MIN( DESCA( NB_ ), N-JTMP )
IBB = IB + JTMP
JBB = JB + JTMP
IAA = IA + JTMP
CALL PZLACP2( UPLO, M-JTMP, JBLK, A, IAA, J, DESCA,
$ B, IBB, JBB, DESCB )
20 CONTINUE
ELSE
IF( M.LE.N ) THEN
CALL PZLACP2( UPLO, IN-IA+1, N, A, IA, JA, DESCA,
$ B, IB, JB, DESCB )
DO 30 I = IN+1, IA+M-1, DESCA( MB_ )
ITMP = I-IA
IBLK = MIN( DESCA( MB_ ), M-ITMP )
IBB = IB+ITMP
CALL PZLACP2( UPLO, IBLK, N, A, I, JA, DESCA,
$ B, IBB, JB, DESCB )
30 CONTINUE
ELSE
CALL PZLACP2( UPLO, M, JN-JA+1, A, IA, JA, DESCA,
$ B, IB, JB, DESCB )
DO 40 J = JN+1, JA+N-1, DESCA( NB_ )
JTMP = J-JA
JBLK = MIN( DESCA( NB_ ), N-JTMP )
JBB = JB+JTMP
CALL PZLACP2( UPLO, M, JBLK, A, IA, J, DESCA,
$ B, IB, JBB, DESCB )
40 CONTINUE
END IF
END IF
*
END IF
*
RETURN
*
* End of PZLACPY
*
END
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