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|
/* ---------------------------------------------------------------------
*
* -- PBLAS routine (version 2.0) --
* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
* and University of California, Berkeley.
* April 1, 1998
*
* ---------------------------------------------------------------------
*/
/*
* Include files
*/
#include "pblas.h"
#include "PBpblas.h"
#include "PBtools.h"
#include "PBblacs.h"
#include "PBblas.h"
#ifdef __STDC__
void pssymm_( F_CHAR_T SIDE, F_CHAR_T UPLO, int * M, int * N,
float * ALPHA,
float * A, int * IA, int * JA, int * DESCA,
float * B, int * IB, int * JB, int * DESCB,
float * BETA,
float * C, int * IC, int * JC, int * DESCC )
#else
void pssymm_( SIDE, UPLO, M, N, ALPHA, A, IA, JA, DESCA,
B, IB, JB, DESCB, BETA, C, IC, JC, DESCC )
/*
* .. Scalar Arguments ..
*/
F_CHAR_T SIDE, UPLO;
int * IA, * IB, * IC, * JA, * JB, * JC, * M, * N;
float * ALPHA, * BETA;
/*
* .. Array Arguments ..
*/
int * DESCA, * DESCB, * DESCC;
float * A, * B, * C;
#endif
{
/*
* Purpose
* =======
*
* PSSYMM performs one of the matrix-matrix operations
*
* sub( C ) := alpha*sub( A )*sub( B ) + beta*sub( C ),
*
* or
*
* sub( C ) := alpha*sub( B )*sub( A ) + beta*sub( C ),
*
* where
*
* sub( C ) denotes C(IC:IC+M-1,JC:JC+N-1),
*
* sub( A ) denotes A(IA:IA+M-1,JA:JA+M-1) if SIDE = 'L',
* A(IA:IA+N-1,JA:JA+N-1) if SIDE = 'R', and,
*
* sub( B ) denotes B(IB:IB+M-1,JB:JB+N-1).
*
* Alpha and beta are scalars, sub( A ) is a symmetric submatrix and
* sub( B ) and sub( C ) are m by n submatrices.
*
* Notes
* =====
*
* A description vector is associated with each 2D block-cyclicly dis-
* tributed matrix. This vector stores the information required to
* establish the mapping between a matrix entry and its corresponding
* process and memory location.
*
* In the following comments, the character _ should be read as
* "of the distributed matrix". Let A be a generic term for any 2D
* block cyclicly distributed matrix. Its description vector is DESC_A:
*
* NOTATION STORED IN EXPLANATION
* ---------------- --------------- ------------------------------------
* DTYPE_A (global) DESCA[ DTYPE_ ] The descriptor type.
* CTXT_A (global) DESCA[ CTXT_ ] The BLACS context handle, indicating
* the NPROW x NPCOL BLACS process grid
* A is distributed over. The context
* itself is global, but the handle
* (the integer value) may vary.
* M_A (global) DESCA[ M_ ] The number of rows in the distribu-
* ted matrix A, M_A >= 0.
* N_A (global) DESCA[ N_ ] The number of columns in the distri-
* buted matrix A, N_A >= 0.
* IMB_A (global) DESCA[ IMB_ ] The number of rows of the upper left
* block of the matrix A, IMB_A > 0.
* INB_A (global) DESCA[ INB_ ] The number of columns of the upper
* left block of the matrix A,
* INB_A > 0.
* MB_A (global) DESCA[ MB_ ] The blocking factor used to distri-
* bute the last M_A-IMB_A rows of A,
* MB_A > 0.
* NB_A (global) DESCA[ NB_ ] The blocking factor used to distri-
* bute the last N_A-INB_A columns of
* A, NB_A > 0.
* RSRC_A (global) DESCA[ RSRC_ ] The process row over which the first
* row of the matrix A is distributed,
* NPROW > RSRC_A >= 0.
* CSRC_A (global) DESCA[ CSRC_ ] The process column over which the
* first column of A is distributed.
* NPCOL > CSRC_A >= 0.
* LLD_A (local) DESCA[ LLD_ ] The leading dimension of the local
* array storing the local blocks of
* the distributed matrix A,
* IF( Lc( 1, N_A ) > 0 )
* LLD_A >= MAX( 1, Lr( 1, M_A ) )
* ELSE
* LLD_A >= 1.
*
* Let K be the number of rows of a matrix A starting at the global in-
* dex IA,i.e, A( IA:IA+K-1, : ). Lr( IA, K ) denotes the number of rows
* that the process of row coordinate MYROW ( 0 <= MYROW < NPROW ) would
* receive if these K rows were distributed over NPROW processes. If K
* is the number of columns of a matrix A starting at the global index
* JA, i.e, A( :, JA:JA+K-1, : ), Lc( JA, K ) denotes the number of co-
* lumns that the process MYCOL ( 0 <= MYCOL < NPCOL ) would receive if
* these K columns were distributed over NPCOL processes.
*
* The values of Lr() and Lc() may be determined via a call to the func-
* tion PB_Cnumroc:
* Lr( IA, K ) = PB_Cnumroc( K, IA, IMB_A, MB_A, MYROW, RSRC_A, NPROW )
* Lc( JA, K ) = PB_Cnumroc( K, JA, INB_A, NB_A, MYCOL, CSRC_A, NPCOL )
*
* Arguments
* =========
*
* SIDE (global input) CHARACTER*1
* On entry, SIDE specifies whether the symmetric submatrix
* sub( A ) appears on the left or right in the operation as
* follows:
*
* SIDE = 'L' or 'l'
* sub( C ) := alpha*sub( A )*sub( B ) + beta*sub( C ),
*
* SIDE = 'R' or 'r'
* sub( C ) := alpha*sub( B )*sub( A ) + beta*sub( C ).
*
* UPLO (global input) CHARACTER*1
* On entry, UPLO specifies whether the local pieces of
* the array A containing the upper or lower triangular part
* of the symmetric submatrix sub( A ) are to be referenced as
* follows:
*
* UPLO = 'U' or 'u' Only the local pieces corresponding to
* the upper triangular part of the
* symmetric submatrix sub( A ) are to be
* referenced,
*
* UPLO = 'L' or 'l' Only the local pieces corresponding to
* the lower triangular part of the
* symmetric submatrix sub( A ) are to be
* referenced.
*
* M (global input) INTEGER
* On entry, M specifies the number of rows of the submatrix
* sub( C ). M must be at least zero.
*
* N (global input) INTEGER
* On entry, N specifies the number of columns of the submatrix
* sub( C ). N must be at least zero.
*
* ALPHA (global input) REAL
* On entry, ALPHA specifies the scalar alpha. When ALPHA is
* supplied as zero then the local entries of the arrays A and
* B corresponding to the entries of the submatrices sub( A )
* and sub( B ) respectively need not be set on input.
*
* A (local input) REAL array
* On entry, A is an array of dimension (LLD_A, Ka), where Ka is
* at least Lc( 1, JA+M-1 ) when SIDE = 'L' or 'l' and is at
* at least Lc( 1, JA+N-1 ) otherwise. Before entry, this array
* contains the local entries of the matrix A.
* Before entry with SIDE = 'L' or 'l', this array contains
* the local entries corresponding to the entries of the m by m
* symmetric submatrix sub( A ), such that when UPLO = 'U' or
* 'u', this array contains the local entries of the upper tri-
* angular part of the symmetric submatrix sub( A ), and the
* local entries of the strictly lower triangular of sub( A )
* are not referenced, and when UPLO = 'L' or 'l', this array
* contains the local entries of the lower triangular part of
* the symmetric submatrix sub( A ), and the local entries of
* the strictly upper triangular of sub( A ) are not referenced.
* Before entry with SIDE = 'R' or 'r', this array contains
* the local entries corresponding to the entries of the n by n
* symmetric submatrix sub( A ), such that when UPLO = 'U' or
* 'u', this array contains the local entries of the upper tri-
* angular part of the symmetric submatrix sub( A ), and the
* local entries of the strictly lower triangular of sub( A )
* are not referenced, and when UPLO = 'L' or 'l', this array
* contains the local entries of the lower triangular part of
* the symmetric submatrix sub( A ), and the local entries of
* the strictly upper triangular of sub( A ) are not referenced.
*
* IA (global input) INTEGER
* On entry, IA specifies A's global row index, which points to
* the beginning of the submatrix sub( A ).
*
* JA (global input) INTEGER
* On entry, JA specifies A's global column index, which points
* to the beginning of the submatrix sub( A ).
*
* DESCA (global and local input) INTEGER array
* On entry, DESCA is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix A.
*
* B (local input) REAL array
* On entry, B is an array of dimension (LLD_B, Kb), where Kb is
* at least Lc( 1, JB+N-1 ). Before entry, this array contains
* the local entries of the matrix B.
*
* IB (global input) INTEGER
* On entry, IB specifies B's global row index, which points to
* the beginning of the submatrix sub( B ).
*
* JB (global input) INTEGER
* On entry, JB specifies B's global column index, which points
* to the beginning of the submatrix sub( B ).
*
* DESCB (global and local input) INTEGER array
* On entry, DESCB is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix B.
*
* BETA (global input) REAL
* On entry, BETA specifies the scalar beta. When BETA is
* supplied as zero then the local entries of the array C
* corresponding to the entries of the submatrix sub( C ) need
* not be set on input.
*
* C (local input/local output) REAL array
* On entry, C is an array of dimension (LLD_C, Kc), where Kc is
* at least Lc( 1, JC+N-1 ). Before entry, this array contains
* the local entries of the matrix C.
* On exit, the entries of this array corresponding to the local
* entries of the submatrix sub( C ) are overwritten by the
* local entries of the m by n updated submatrix.
*
* IC (global input) INTEGER
* On entry, IC specifies C's global row index, which points to
* the beginning of the submatrix sub( C ).
*
* JC (global input) INTEGER
* On entry, JC specifies C's global column index, which points
* to the beginning of the submatrix sub( C ).
*
* DESCC (global and local input) INTEGER array
* On entry, DESCC is an integer array of dimension DLEN_. This
* is the array descriptor for the matrix C.
*
* -- Written on April 1, 1998 by
* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Scalars ..
*/
char DirAB, SideOp, UploA, cbtop, cbtopsave, cctop, cctopsave,
rbtop, rbtopsave, rctop, rctopsave;
int Ai, Aj, Bi, Bj, ChooseABC, Ci, Cj, ForceTop, ctxt, info,
lside, mycol, myrow, nb, npcol, nprow, upper;
double ABCest, BCest, tmp1, tmp2, tmp3, tmp4;
PBTYP_T * type;
/*
* .. Local Arrays ..
*/
int Ad[DLEN_], Bd[DLEN_], Cd[DLEN_];
/* ..
* .. Executable Statements ..
*
*/
lside = ( ( SideOp = Mupcase( F2C_CHAR( SIDE )[0] ) ) == CLEFT );
upper = ( ( UploA = Mupcase( F2C_CHAR( UPLO )[0] ) ) == CUPPER );
PB_CargFtoC( *IA, *JA, DESCA, &Ai, &Aj, Ad );
PB_CargFtoC( *IB, *JB, DESCB, &Bi, &Bj, Bd );
PB_CargFtoC( *IC, *JC, DESCC, &Ci, &Cj, Cd );
#ifndef NO_ARGCHK
/*
* Test the input parameters
*/
Cblacs_gridinfo( ( ctxt = Ad[CTXT_] ), &nprow, &npcol, &myrow, &mycol );
if( !( info = ( ( nprow == -1 ) ? -( 901 + CTXT_ ) : 0 ) ) )
{
if( ( !lside ) && ( SideOp != CRIGHT ) )
{
PB_Cwarn( ctxt, __LINE__, "PSSYMM", "Illegal SIDE = %c\n", SideOp );
info = -1;
}
else if( ( !upper ) && ( UploA != CLOWER ) )
{
PB_Cwarn( ctxt, __LINE__, "PSSYMM", "Illegal UPLO = %c\n", UploA );
info = -2;
}
if( lside )
{
PB_Cchkmat( ctxt, "PSSYMM", "A", *M, 3, *M, 3, Ai, Aj, Ad, 9,
&info );
PB_Cchkmat( ctxt, "PSSYMM", "B", *M, 3, *N, 4, Bi, Bj, Bd, 13,
&info );
}
else
{
PB_Cchkmat( ctxt, "PSSYMM", "A", *N, 4, *N, 4, Ai, Aj, Ad, 9,
&info );
PB_Cchkmat( ctxt, "PSSYMM", "B", *M, 3, *N, 4, Bi, Bj, Bd, 13,
&info );
}
PB_Cchkmat( ctxt, "PSSYMM", "C", *M, 3, *N, 4, Ci, Cj, Cd, 18,
&info );
}
if( info ) { PB_Cabort( ctxt, "PSSYMM", info ); return; }
#endif
/*
* Quick return if possible
*/
if( ( *M == 0 ) || ( *N == 0 ) ||
( ( ALPHA[REAL_PART] == ZERO ) && ( BETA[REAL_PART] == ONE ) ) )
return;
/*
* Get type structure
*/
type = PB_Cstypeset();
/*
* If alpha is zero, sub( C ) := beta * sub( C ).
*/
if( ALPHA[REAL_PART] == ZERO )
{
if( BETA[REAL_PART] == ZERO )
{
PB_Cplapad( type, ALL, NOCONJG, *M, *N, type->zero, type->zero,
((char * ) C), Ci, Cj, Cd );
}
else if( !( BETA[REAL_PART] == ONE ) )
{
PB_Cplascal( type, ALL, NOCONJG, *M, *N, ((char *) BETA), ((char *) C),
Ci, Cj, Cd );
}
return;
}
/*
* Start the operations
*/
#ifdef NO_ARGCHK
Cblacs_gridinfo( ( ctxt = Ad[CTXT_] ), &nprow, &npcol, &myrow, &mycol );
#endif
/*
* Algorithm selection is based on approximation of the communication volume
* for distributed and aligned operands.
*
* ABCest: operands sub( A ), sub( B ) and sub( C ) are communicated (N >> M)
* BCest : Both operands sub( B ) and sub( C ) are communicated (M >> N)
*/
if( lside )
{
tmp1 = DNROC( *M, Ad[MB_], nprow ); tmp2 = DNROC( *N, Bd[NB_], npcol );
ABCest = (double)(*M) *
( ( ( ( Ad[CSRC_] == -1 ) || ( npcol == 1 ) ) ? ZERO : tmp1 / TWO ) +
( ( ( Bd[RSRC_] == -1 ) || ( nprow == 1 ) ) ? ZERO :
tmp2 + tmp2 * CBRATIO ) );
tmp1 = DNROC( *M, Ad[MB_], nprow ); tmp2 = DNROC( *M, Ad[NB_], npcol );
tmp3 = DNROC( *M, Bd[MB_], nprow ); tmp4 = DNROC( *M, Cd[MB_], nprow );
BCest = (double)(*N) *
( CBRATIO * ( npcol == 1 ? ZERO : tmp1 ) +
( nprow == 1 ? ZERO : tmp2 ) + MAX( tmp2, tmp3 ) +
( ( ( Bd[CSRC_] == -1 ) || ( npcol == 1 ) ) ? ZERO : tmp1 ) +
CBRATIO * ( nprow == 1 ? ZERO : tmp2 ) + MAX( tmp2, tmp4 ) );
}
else
{
tmp1 = DNROC( *N, Ad[NB_], npcol ); tmp2 = DNROC( *M, Bd[MB_], nprow );
ABCest = (double)(*N) *
( ( ( ( Ad[RSRC_] == -1 ) || ( nprow == 1 ) ) ? ZERO : tmp1 / TWO ) +
( ( ( Bd[CSRC_] == -1 ) || ( npcol == 1 ) ) ? ZERO :
tmp2 + tmp2 * CBRATIO ) );
tmp1 = DNROC( *N, Ad[MB_], nprow ); tmp2 = DNROC( *N, Ad[NB_], npcol );
tmp3 = DNROC( *N, Bd[NB_], npcol ); tmp4 = DNROC( *N, Cd[NB_], npcol );
BCest = (double)(*M) *
( ( npcol == 1 ? ZERO : tmp1 ) + MAX( tmp1, tmp3 ) +
CBRATIO * ( nprow == 1 ? ZERO : tmp2 ) +
( ( ( Bd[RSRC_] == -1 ) || ( nprow == 1 ) ) ? ZERO : tmp2 ) +
CBRATIO * ( npcol == 1 ? ZERO : tmp1 ) + MAX( tmp1, tmp4 ) );
}
/*
* Shift a little the cross-over point between both algorithms.
*/
ChooseABC = ( ( 1.5 * ABCest ) <= BCest );
/*
* BLACS topologies are enforced iff M and N are strictly greater than the
* logical block size returned by pilaenv_. Otherwise, it is assumed that the
* routine calling this routine has already selected an adequate topology.
*/
nb = pilaenv_( &ctxt, C2F_CHAR( &type->type ) );
ForceTop = ( ( *M > nb ) && ( *N > nb ) );
rbtop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_GET );
cbtop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_GET );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_GET );
if( ChooseABC )
{
if( ForceTop )
{
rbtopsave = rbtop; rctopsave = rctop;
cbtopsave = cbtop; cctopsave = cctop;
if( lside )
{
/*
* No clear winner for the ring topologies, so that if a ring topology is
* already selected, keep it.
*/
if( ( rbtop != CTOP_DRING ) && ( rbtop != CTOP_IRING ) &&
( rbtop != CTOP_SRING ) )
rbtop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_IRING );
if( ( ( cbtop != CTOP_DRING ) && ( cbtop != CTOP_IRING ) &&
( cbtop != CTOP_SRING ) ) || ( cbtop != cctop ) )
{
cbtop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_IRING );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_IRING );
/*
* Remove the next 2 lines when the BLACS combine operations support ring
* topologies
*/
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_DEFAULT );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_DEFAULT );
}
}
else
{
/*
* No clear winner for the ring topologies, so that if a ring topology is
* already selected, keep it.
*/
if( ( cbtop != CTOP_DRING ) && ( cbtop != CTOP_IRING ) &&
( cbtop != CTOP_SRING ) )
cbtop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_IRING );
if( ( ( rbtop != CTOP_DRING ) && ( rbtop != CTOP_IRING ) &&
( rbtop != CTOP_SRING ) ) || ( rbtop != rctop ) )
{
rbtop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_IRING );
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_IRING );
/*
* Remove the next 2 lines when the BLACS combine operations support ring
* topologies
*/
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_DEFAULT );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_DEFAULT );
}
}
}
if( lside )
DirAB = ( rbtop == CTOP_DRING ? CBACKWARD : CFORWARD );
else
DirAB = ( cbtop == CTOP_DRING ? CBACKWARD : CFORWARD );
PB_CpsymmAB( type, &DirAB, NOCONJG, &SideOp, &UploA, *M, *N,
((char *)ALPHA), ((char *)A), Ai, Aj, Ad, ((char *)B), Bi,
Bj, Bd, ((char *)BETA), ((char *)C), Ci, Cj, Cd );
}
else
{
if( ForceTop )
{
rbtopsave = rbtop; rctopsave = rctop;
cbtopsave = cbtop; cctopsave = cctop;
if( lside )
{
/*
* No clear winner for the ring topologies, so that if a ring topology is
* already selected, keep it.
*/
if( ( ( rbtop != CTOP_DRING ) && ( rbtop != CTOP_IRING ) &&
( rbtop != CTOP_SRING ) ) || ( rbtop != rctop ) )
{
rbtop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_IRING );
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_IRING );
/*
* Remove the next 2 lines when the BLACS combine operations support ring
* topologies
*/
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_DEFAULT );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_DEFAULT );
}
cbtop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_DEFAULT );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_DEFAULT );
}
else
{
/*
* No clear winner for the ring topologies, so that if a ring topology is
* already selected, keep it.
*/
if( ( ( cbtop != CTOP_DRING ) && ( cbtop != CTOP_IRING ) &&
( cbtop != CTOP_SRING ) ) || ( cbtop != cctop ) )
{
cbtop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_IRING );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_IRING );
/*
* Remove the next 2 lines when the BLACS combine operations support ring
* topologies
*/
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_DEFAULT );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_DEFAULT );
}
rbtop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_DEFAULT );
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_DEFAULT );
}
}
if( lside )
DirAB = ( ( rbtop == CTOP_DRING || rctop == CTOP_DRING ) ?
CBACKWARD : CFORWARD );
else
DirAB = ( ( cbtop == CTOP_DRING || cctop == CTOP_DRING ) ?
CBACKWARD : CFORWARD );
PB_CpsymmBC( type, &DirAB, NOCONJG, &SideOp, &UploA, *M, *N,
((char *)ALPHA), ((char *)A), Ai, Aj, Ad, ((char *)B), Bi,
Bj, Bd, ((char *)BETA), ((char *)C), Ci, Cj, Cd );
}
/*
* Restore the BLACS topologies when necessary.
*/
if( ForceTop )
{
rbtopsave = *PB_Ctop( &ctxt, BCAST, ROW, &rbtopsave );
rctopsave = *PB_Ctop( &ctxt, COMBINE, ROW, &rctopsave );
cbtopsave = *PB_Ctop( &ctxt, BCAST, COLUMN, &cbtopsave );
cctopsave = *PB_Ctop( &ctxt, COMBINE, COLUMN, &cctopsave );
}
/*
* End of PSSYMM
*/
}
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