NAME
PDLACP2 - copie all or part of a distributed matrix A to another
distributed matrix B
SYNOPSIS
SUBROUTINE PDLACP2( UPLO, M, N, A, IA, JA, DESCA, B, IB, JB, DESCB )
CHARACTER UPLO
INTEGER IA, IB, JA, JB, M, N
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.