NAME
PSLACP3 - i an auxiliary routine that copies from a global parallel
array into a local replicated array or vise versa
SYNOPSIS
SUBROUTINE PSLACP3( M, I, A, DESCA, B, LDB, II, JJ, REV )
INTEGER I, II, JJ, LDB, M, REV
INTEGER DESCA( * )
REAL A( * ), B( LDB, * )
PURPOSE
PSLACP3 is an auxiliary routine that copies from a global parallel
array into a local replicated array or vise versa. Notice that
the entire submatrix that is copied gets placed on one node or
more. The receiving node can be specified precisely, or all nodes
can receive, or just one row or column of nodes.
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
M (global input) INTEGER
M is the order of the square submatrix that is copied. M >= 0.
Unchanged on exit
I (global input) INTEGER
A(I,I) is the global location that the copying starts from.
Unchanged on exit.
A (global input/output) REAL array, dimension
(DESCA(LLD_),*) On entry, the parallel matrix to be copied into
or from. On exit, if REV=1, the copied data. Unchanged on
exit if REV=0.
DESCA (global and local input) INTEGER array of dimension DLEN_.
The array descriptor for the distributed matrix A.
B (local input/output) REAL array of size (LDB,M)
If REV=0, this is the global portion of the array
A(I:I+M-1,I:I+M-1). If REV=1, this is the unchanged on exit.
LDB (local input) INTEGER
The leading dimension of B.
II (global input) INTEGER
By using REV 0 & 1, data can be sent out and returned again.
If REV=0, then II is destination row index for the node(s)
receiving the replicated B. If II>=0,JJ>=0, then node (II,JJ)
receives the data If II=-1,JJ>=0, then all rows in column JJ
receive the data If II>=0,JJ=-1, then all cols in row II
receive the data If II=-1,JJ=-1, then all nodes receive the
data If REV<>0, then II is the source row index for the node(s)
sending the replicated B.
JJ (global input) INTEGER
Similar description as II above
REV (global input) INTEGER
Use REV = 0 to send global A into locally replicated B (on node
(II,JJ)). Use REV <> 0 to send locally replicated B from node
(II,JJ) to its owner (which changes depending on its location
in A) into the global A.
Implemented by: G. Henry, May 1, 1997