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|
/* ---------------------------------------------------------------------
*
* -- PBLAS auxiliary 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 PB_CpsymmBC( PBTYP_T * TYPE, char * DIRECAB, char * CONJUG,
char * SIDE, char * UPLO, int M, int N, char * ALPHA,
char * A, int IA, int JA, int * DESCA, char * B,
int IB, int JB, int * DESCB, char * BETA, char * C,
int IC, int JC, int * DESCC )
#else
void PB_CpsymmBC( TYPE, DIRECAB, CONJUG, SIDE, UPLO, M, N, ALPHA, A, IA,
JA, DESCA, B, IB, JB, DESCB, BETA, C, IC, JC, DESCC )
/*
* .. Scalar Arguments ..
*/
char * CONJUG, * DIRECAB, * SIDE, * UPLO;
int IA, IB, IC, JA, JB, JC, M, N;
char * ALPHA, * BETA;
PBTYP_T * TYPE;
/*
* .. Array Arguments ..
*/
int * DESCA, * DESCB, * DESCC;
char * A, * B, * C;
#endif
{
/*
* Purpose
* =======
*
* PB_CpsymmBC 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 or Hermitian
* submatrix and sub( B ) and sub( C ) are m by n submatrices.
*
* This is the inner-product algorithm using the logical LCM hybrid
* and static blocking techniques. The submatrix operand sub( A ) stays
* in place.
*
* 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
* =========
*
* TYPE (local input) pointer to a PBTYP_T structure
* On entry, TYPE is a pointer to a structure of type PBTYP_T,
* that contains type information (See pblas.h).
*
* DIRECAB (global input) pointer to CHAR
* On entry, DIRECAB specifies the direction in which the rows
* or columns of sub( B ) should be looped over as follows:
* DIRECAB = 'F' or 'f' forward or increasing,
* DIRECAB = 'B' or 'b' backward or decreasing.
*
* CONJUG (global input) pointer to CHAR
* On entry, CONJUG specifies whether sub( A ) is a symmetric or
* Hermitian submatrix operand as follows:
* CONJUG = 'N' or 'n' sub( A ) is symmetric,
* CONJUG = 'Z' or 'z' sub( A ) is Hermitian.
*
* SIDE (global input) pointer to CHAR
* On entry, SIDE specifies whether the symmetric or Hermitian
* submatrix sub( A ) appears on the left or right in the opera-
* tion 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) pointer to CHAR
* On entry, UPLO specifies whether the local pieces of
* the array A containing the upper or lower triangular part
* of the 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
* submatrix sub( A ) are referenced,
* UPLO = 'L' or 'l' Only the local pieces corresponding to
* the lower triangular part of the
* submatrix sub( A ) are 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) pointer to CHAR
* 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) pointer to CHAR
* 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 or Hermitian submatrix sub( A ), such that when
* UPLO = 'U' or 'u', this array contains the local entries of
* the upper triangular part of the 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 or Hermitian 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 or Hermitian submatrix sub( A ), such that when
* UPLO = 'U' or 'u', this array contains the local entries of
* the upper triangular part of the 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 or Hermitian submatrix sub( A ), and the local
* entries of the strictly upper triangular of sub( A ) are not
* referenced.
* Note that the imaginary parts of the local entries corres-
* ponding to the diagonal elements of sub( A ) need not be
* set and assumed to be zero.
*
* 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) pointer to CHAR
* 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) pointer to CHAR
* 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) pointer to CHAR
* 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 GemmTa, GemmTb, cctop, * one, rctop, * talphaCR, * talphaRC,
* tbeta, * zero;
int Acol, Aii, Aimb1, Ainb1, Ajj, Alcmb, Ald, Alp, Alp0, Alq,
Alq0, Amb, Amp, An, Anb, Anq, Arow, BCfwd, BCmyprocD,
BCmyprocR, BCnD, BCnR, BCnprocsD, BCnprocsR, Bbufld, BcurrocR,
Bfr, BiD, BiR, BiiD, BiiR, BinbD, BinbR, Binb1D, Binb1R, BisR,
Bkk, Bld, BnbD, BnbR, BnpD, BnpR, Boff, BrocD, BrocR, BsrcR,
Cfr, CiD, CiR, CiiD, CiiR, CinbD, CinbR, Cinb1D, Cinb1R, Ckk,
CnbD, CnbR, CnpD, CnpR, Coff, CrocD, CrocR, CsrcR, Cbufld,
CcurrocR, CisR, Cld, WBCfr, WBCld, WBRfr, WBRld, WCCfr, WCCld,
WCCsum, WCRfr, WCRld, WCRsum, conjg, ctxt, l, lb, lcmb, lside,
ltmp, maxp, maxpm1, maxq, mycol, myrow, n, nb, nbb, ncpq,
npcol, npq=0, nprow, nrpq, p=0, q=0, size, tmp, upper;
TZSYM_T tzsymm;
GEMM_T gemm;
GSUM2D_T gsum2d;
/*
* .. Local Arrays ..
*/
PB_VM_T VM;
int Ad0 [DLEN_], DBUFB[DLEN_], DBUFC[DLEN_], WBCd[DLEN_],
WBRd[DLEN_], WCCd [DLEN_], WCRd [DLEN_];
char * Aptr = NULL, * Bbuf = NULL, * Cbuf = NULL, * WBC = NULL,
* WBR = NULL, * WCC = NULL, * WCR = NULL;
/* ..
* .. Executable Statements ..
*
*/
Cblacs_gridinfo( ( ctxt = DESCC[CTXT_] ), &nprow, &npcol, &myrow, &mycol );
BCfwd = ( Mupcase( DIRECAB[0] ) == CFORWARD );
conjg = ( Mupcase( CONJUG [0] ) == CCONJG );
lside = ( Mupcase( SIDE [0] ) == CLEFT );
upper = ( Mupcase( UPLO [0] ) == CUPPER );
size = TYPE->size; one = TYPE->one; zero = TYPE->zero;
gemm = TYPE->Fgemm; gsum2d = TYPE->Cgsum2d;
nb = pilaenv_( &ctxt, C2F_CHAR( &TYPE->type ) );
/*
* Compute local information for sub( A ), sub( B ) and sub( C )
*/
if( lside )
{
BCnD = An = M; BCnR = N;
BCmyprocD = myrow; BCnprocsD = nprow;
BCmyprocR = mycol; BCnprocsR = npcol;
BiD = IB; BiR = JB;
BinbD = DESCB[IMB_ ]; BinbR = DESCB[INB_];
BnbD = DESCB[MB_ ]; BnbR = DESCB[NB_ ];
BsrcR = DESCB[CSRC_]; Bld = DESCB[LLD_];
PB_Cinfog2l( IB, JB, DESCB, BCnprocsD, BCnprocsR, BCmyprocD, BCmyprocR,
&BiiD, &BiiR, &BrocD, &BrocR );
CiD = IC; CiR = JC;
CinbD = DESCC[IMB_ ]; CinbR = DESCC[INB_];
CnbD = DESCC[MB_ ]; CnbR = DESCC[NB_ ];
CsrcR = DESCC[CSRC_]; Cld = DESCC[LLD_];
PB_Cinfog2l( IC, JC, DESCC, BCnprocsD, BCnprocsR, BCmyprocD, BCmyprocR,
&CiiD, &CiiR, &CrocD, &CrocR );
}
else
{
BCnD = An = N; BCnR = M;
BCmyprocD = mycol; BCnprocsD = npcol;
BCmyprocR = myrow; BCnprocsR = nprow;
BiD = JB; BiR = IB;
BinbR = DESCB[IMB_ ]; BinbD = DESCB[INB_];
BnbR = DESCB[MB_ ]; BnbD = DESCB[NB_ ];
BsrcR = DESCB[RSRC_]; Bld = DESCB[LLD_];
PB_Cinfog2l( IB, JB, DESCB, BCnprocsR, BCnprocsD, BCmyprocR, BCmyprocD,
&BiiR, &BiiD, &BrocR, &BrocD );
CiD = JC; CiR = IC;
CinbR = DESCC[IMB_ ]; CinbD = DESCC[INB_];
CnbR = DESCC[MB_ ]; CnbD = DESCC[NB_ ];
CsrcR = DESCC[RSRC_]; Cld = DESCC[LLD_];
PB_Cinfog2l( IC, JC, DESCC, BCnprocsR, BCnprocsD, BCmyprocR, BCmyprocD,
&CiiR, &CiiD, &CrocR, &CrocD );
}
Binb1D = PB_Cfirstnb( BCnD, BiD, BinbD, BnbD );
BnpD = PB_Cnumroc( BCnD, 0, Binb1D, BnbD, BCmyprocD, BrocD, BCnprocsD );
Binb1R = PB_Cfirstnb( BCnR, BiR, BinbR, BnbR );
BisR = ( ( BsrcR < 0 ) || ( BCnprocsR == 1 ) );
Cinb1D = PB_Cfirstnb( BCnD, CiD, CinbD, CnbD );
CnpD = PB_Cnumroc( BCnD, 0, Cinb1D, CnbD, BCmyprocD, CrocD, BCnprocsD );
Cinb1R = PB_Cfirstnb( BCnR, CiR, CinbR, CnbR );
CisR = ( ( CsrcR < 0 ) || ( BCnprocsR == 1 ) );
/*
* Compute descriptor Ad0 for sub( A )
*/
PB_Cdescribe( An, An, IA, JA, DESCA, nprow, npcol, myrow, mycol, &Aii, &Ajj,
&Ald, &Aimb1, &Ainb1, &Amb, &Anb, &Arow, &Acol, Ad0 );
Amp = PB_Cnumroc( An, 0, Aimb1, Amb, myrow, Arow, nprow );
Anq = PB_Cnumroc( An, 0, Ainb1, Anb, mycol, Acol, npcol );
if( ( Amp > 0 ) && ( Anq > 0 ) ) Aptr = Mptr( A, Aii, Ajj, Ald, size );
/*
* Retrieve the BLACS combine topologies, compute conjugate of alpha for the
* Hermitian case and set the transpose parameters to be passed to the BLAS
* matrix multiply routine.
*/
rctop = *PB_Ctop( &ctxt, COMBINE, ROW, TOP_GET );
cctop = *PB_Ctop( &ctxt, COMBINE, COLUMN, TOP_GET );
if( conjg )
{
tzsymm = PB_Ctzhemm;
if( lside )
{
talphaRC = ALPHA; GemmTa = CCOTRAN; GemmTb = CTRAN;
talphaCR = PB_Cmalloc( size );
PB_Cconjg( TYPE, ALPHA, talphaCR );
}
else
{
talphaCR = ALPHA; GemmTa = CTRAN; GemmTb = CCOTRAN;
talphaRC = PB_Cmalloc( size );
PB_Cconjg( TYPE, ALPHA, talphaRC );
}
}
else
{
tzsymm = PB_Ctzsymm; talphaCR = talphaRC = ALPHA;
GemmTa = CTRAN; GemmTb = CTRAN;
}
/*
* Computational partitioning size is computed as the product of the logical
* value returned by pilaenv_ and 2 * lcm( nprow, npcol ).
*/
Alcmb = 2 * nb * PB_Clcm( ( Arow >= 0 ? nprow : 1 ),
( Acol >= 0 ? npcol : 1 ) );
/*
* When sub( B ) is not replicated and backward pass on sub( B ), find the
* virtual process q owning the last row or column of sub( B ).
*/
if( !( BisR ) && !( BCfwd ) )
{
tmp = PB_Cindxg2p( BCnR - 1, Binb1R, BnbR, BrocR, BrocR, BCnprocsR );
q = MModSub( tmp, BrocR, BCnprocsR );
}
/*
* When sub( C ) is not replicated and backward pass on sub( C ), find the
* virtual process p owning the last row or column of sub( C ).
*/
if( !( CisR ) && !( BCfwd ) )
{
tmp = PB_Cindxg2p( BCnR - 1, Cinb1R, CnbR, CrocR, CrocR, BCnprocsR );
p = MModSub( tmp, CrocR, BCnprocsR );
}
/*
* Loop over the virtual process grid induced by the rows or columns of
* sub( B ) and sub( C ).
*/
lcmb = PB_Clcm( ( maxp = ( CisR ? 1 : BCnprocsR ) ) * CnbR,
( maxq = ( BisR ? 1 : BCnprocsR ) ) * BnbR );
n = BCnR;
maxpm1 = maxp - 1;
while( n > 0 )
{
/*
* Initialize local virtual matrix in process (p,q)
*/
BcurrocR = ( BisR ? -1 : MModAdd( BrocR, q, BCnprocsR ) );
Bkk = PB_Cg2lrem( BiR, BinbR, BnbR, BcurrocR, BsrcR, BCnprocsR );
BnpR = PB_Cnumroc( BCnR, 0, Binb1R, BnbR, BcurrocR, BrocR, BCnprocsR );
CcurrocR = ( CisR ? -1 : MModAdd( CrocR, p, BCnprocsR ) );
Ckk = PB_Cg2lrem( CiR, CinbR, CnbR, CcurrocR, CsrcR, BCnprocsR );
CnpR = PB_Cnumroc( BCnR, 0, Cinb1R, CnbR, CcurrocR, CrocR, BCnprocsR );
PB_CVMinit( &VM, 0, CnpR, BnpR, Cinb1R, Binb1R, CnbR, BnbR, p, q,
maxp, maxq, lcmb );
/*
* Find how many diagonals in this virtual process
*/
npq = PB_CVMnpq( &VM );
n -= npq;
/*
* Re-adjust the number of rows or columns to be (un)packed, in order to
* average the message sizes.
*/
if( npq ) nbb = npq / ( ( npq - 1 ) / nb + 1 );
while( npq )
{
nbb = MIN( nbb, npq );
/*
* Find out how many rows or columns of sub( B ) and sub( C ) are contiguous
*/
PB_CVMcontig( &VM, &nrpq, &ncpq, &Coff, &Boff );
if( lside )
{
/*
* Compute the descriptor DBUFB for the buffer that will contained the packed
* columns of sub( B ).
*/
if( ( Bfr = ( ncpq < nbb ) ) != 0 )
{
/*
* If columns of sub( B ) are not contiguous, then allocate the buffer and
* pack the kbb columns of sub( B ).
*/
Bbufld = MAX( 1, BnpD );
if( BisR || ( BCmyprocR == BcurrocR ) )
{
Bbuf = PB_Cmalloc( BnpD * nbb * size );
PB_CVMpack( TYPE, &VM, COLUMN, COLUMN, PACKING, NOTRAN, nbb,
BnpD, one, Mptr( B, BiiD, Bkk, Bld, size ), Bld,
zero, Bbuf, Bbufld );
}
}
else
{
/*
* Otherwise, re-use sub( B ) directly.
*/
Bbufld = Bld;
if( BisR || ( BCmyprocR == BcurrocR ) )
Bbuf = Mptr( B, BiiD, Bkk+Boff, Bld, size );
}
PB_Cdescset( DBUFB, BCnD, nbb, Binb1D, nbb, BnbD, nbb, BrocD,
BcurrocR, ctxt, Bbufld );
/*
* Replicate this panel of columns of sub( B ) as well as its transposed
* over sub( A ) -> WBC, WBR
*/
PB_CInV( TYPE, NOCONJG, COLUMN, An, An, Ad0, nbb, Bbuf, 0, 0,
DBUFB, COLUMN, &WBC, WBCd, &WBCfr );
PB_CInV( TYPE, NOCONJG, ROW, An, An, Ad0, nbb, WBC, 0, 0,
WBCd, COLUMN, &WBR, WBRd, &WBRfr );
}
else
{
/*
* Compute the descriptor DBUFB for the buffer that will contained the packed
* rows of sub( B ).
*/
if( ( Bfr = ( ncpq < nbb ) ) != 0 )
{
/*
* If rows of sub( B ) are not contiguous, then allocate the buffer and pack
* the kbb rows of sub( B ).
*/
Bbufld = nbb;
if( BisR || ( BCmyprocR == BcurrocR ) )
{
Bbuf = PB_Cmalloc( BnpD * nbb * size );
PB_CVMpack( TYPE, &VM, COLUMN, ROW, PACKING, NOTRAN, nbb,
BnpD, one, Mptr( B, Bkk, BiiD, Bld, size ), Bld,
zero, Bbuf, Bbufld );
}
}
else
{
/*
* Otherwise, re-use sub( B ) directly.
*/
Bbufld = Bld;
if( BisR || ( BCmyprocR == BcurrocR ) )
Bbuf = Mptr( B, Bkk+Boff, BiiD, Bld, size );
}
PB_Cdescset( DBUFB, nbb, BCnD, nbb, Binb1D, nbb, BnbD, BcurrocR,
BrocD, ctxt, Bbufld );
/*
* Replicate this panel of rows of sub( B ) as well as its transposed
* over sub( A ) -> WBR, WBC
*/
PB_CInV( TYPE, NOCONJG, ROW, An, An, Ad0, nbb, Bbuf, 0, 0,
DBUFB, ROW, &WBR, WBRd, &WBRfr );
PB_CInV( TYPE, NOCONJG, COLUMN, An, An, Ad0, nbb, WBR, 0, 0,
WBRd, ROW, &WBC, WBCd, &WBCfr );
}
/*
* Allocate space for temporary results in scope of sub( A ) -> WCC, WCR
*/
PB_COutV( TYPE, COLUMN, INIT, An, An, Ad0, nbb, &WCC, WCCd, &WCCfr,
&WCCsum );
PB_COutV( TYPE, ROW, INIT, An, An, Ad0, nbb, &WCR, WCRd, &WCRfr,
&WCRsum );
/*
* Local matrix-matrix multiply iff I own some data
*/
WBCld = WBCd[LLD_]; WBRld = WBRd[LLD_];
WCCld = WCCd[LLD_]; WCRld = WCRd[LLD_];
if( ( Amp > 0 ) && ( Anq > 0 ) )
{
if( upper )
{
/*
* sub( A ) is upper triangular
*/
for( l = 0; l < An; l += Alcmb )
{
lb = An - l; lb = MIN( lb, Alcmb );
Alp = PB_Cnumroc( l, 0, Aimb1, Amb, myrow, Arow, nprow );
Alq = PB_Cnumroc( l, 0, Ainb1, Anb, mycol, Acol, npcol );
Alq0 = PB_Cnumroc( lb, l, Ainb1, Anb, mycol, Acol, npcol );
if( Alp > 0 && Alq0 > 0 )
{
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( &GemmTb ), &Alp, &nbb,
&Alq0, talphaRC, Mptr( Aptr, 0, Alq, Ald, size ),
&Ald, Mptr( WBR, 0, Alq, WBRld, size ), &WBRld, one,
WCC, &WCCld );
gemm( C2F_CHAR( &GemmTa ), C2F_CHAR( NOTRAN ), &nbb, &Alq0,
&Alp, talphaCR, WBC, &WBCld, Mptr( Aptr, 0, Alq, Ald,
size ), &Ald, one, Mptr( WCR, 0, Alq, WCRld, size ),
&WCRld );
}
PB_Cpsym( TYPE, TYPE, SIDE, UPPER, lb, nbb, ALPHA, Aptr, l, l,
Ad0, Mptr( WBC, Alp, 0, WBCld, size ), WBCld,
Mptr( WBR, 0, Alq, WBRld, size ), WBRld, Mptr( WCC,
Alp, 0, WCCld, size ), WCCld, Mptr( WCR, 0, Alq,
WCRld, size ), WCRld, tzsymm );
}
}
else
{
/*
* sub( A ) is lower triangular
*/
for( l = 0; l < An; l += Alcmb )
{
lb = An - l; ltmp = l + ( lb = MIN( lb, Alcmb ) );
Alp = PB_Cnumroc( l, 0, Aimb1, Amb, myrow, Arow, nprow );
Alq = PB_Cnumroc( l, 0, Ainb1, Anb, mycol, Acol, npcol );
PB_Cpsym( TYPE, TYPE, SIDE, LOWER, lb, nbb, ALPHA, Aptr, l, l,
Ad0, Mptr( WBC, Alp, 0, WBCld, size ), WBCld,
Mptr( WBR, 0, Alq, WBRld, size ), WBRld, Mptr( WCC,
Alp, 0, WCCld, size ), WCCld, Mptr( WCR, 0, Alq,
WCRld, size ), WCRld, tzsymm );
Alp = PB_Cnumroc( ltmp, 0, Aimb1, Amb, myrow, Arow, nprow );
Alp0 = Amp - Alp;
Alq0 = PB_Cnumroc( lb, l, Ainb1, Anb, mycol, Acol, npcol );
if( Alp0 > 0 && Alq0 > 0 )
{
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( &GemmTb ), &Alp0, &nbb,
&Alq0, talphaRC, Mptr( Aptr, Alp, Alq, Ald, size ),
&Ald, Mptr( WBR, 0, Alq, WBRld, size ), &WBRld, one,
Mptr( WCC, Alp, 0, WCCld, size ), &WCCld );
gemm( C2F_CHAR( &GemmTa ), C2F_CHAR( NOTRAN ), &nbb, &Alq0,
&Alp0, talphaCR, Mptr( WBC, Alp, 0, WBCld, size ),
&WBCld, Mptr( Aptr, Alp, Alq, Ald, size ), &Ald, one,
Mptr( WCR, 0, Alq, WCRld, size ), &WCRld );
}
}
}
}
if( WBCfr ) free( WBC );
if( WBRfr ) free( WBR );
if( Bfr && ( BisR || ( BCmyprocR == BcurrocR ) ) )
if( Bbuf ) free( Bbuf );
if( lside )
{
/*
* Accumulate the intermediate results in WCC and WCR
*/
if( WCCsum )
{
WCCd[CSRC_] = CcurrocR;
if( Amp > 0 )
gsum2d( ctxt, ROW, &rctop, Amp, nbb, WCC, WCCld, myrow,
WCCd[CSRC_] );
}
if( WCRsum )
{
WCRd[RSRC_] = 0;
if( Anq > 0 )
gsum2d( ctxt, COLUMN, &cctop, nbb, Anq, WCR, WCRld,
WCRd[RSRC_], mycol );
}
/*
* WCC := WCC + WCR'
*/
PB_Cpaxpby( TYPE, CONJUG, nbb, An, one, WCR, 0, 0, WCRd, ROW, one,
WCC, 0, 0, WCCd, COLUMN );
if( WCRfr ) free( WCR );
/*
* Compute the descriptor DBUFC for the buffer that will contained the packed
* columns of sub( C ). Allocate it.
*/
if( ( Cfr = ( nrpq < nbb ) ) != 0 )
{
/*
* If columns of sub( C ) are not contiguous, then allocate the buffer
*/
Cbufld = MAX( 1, CnpD ); tbeta = zero;
if( CisR || ( BCmyprocR == CcurrocR ) )
Cbuf = PB_Cmalloc( CnpD * nbb * size );
}
else
{
/*
* Otherwise re-use sub( C )
*/
Cbufld = Cld; tbeta = BETA;
if( CisR || ( BCmyprocR == CcurrocR ) )
Cbuf = Mptr( C, CiiD, Ckk+Coff, Cld, size );
}
PB_Cdescset( DBUFC, BCnD, nbb, Cinb1D, nbb, CnbD, nbb, CrocD,
CcurrocR, ctxt, Cbufld );
/*
* sub( C ) := beta * sub( C ) + WCC
*/
PB_Cpaxpby( TYPE, NOCONJG, An, nbb, one, WCC, 0, 0, WCCd, COLUMN,
tbeta, Cbuf, 0, 0, DBUFC, COLUMN );
if( WCCfr ) free( WCC );
/*
* Unpack the kbb columns of sub( C ) and release the buffer containing them.
*/
if( Cfr && ( CisR || ( BCmyprocR == CcurrocR ) ) )
{
PB_CVMpack( TYPE, &VM, ROW, COLUMN, UNPACKING, NOTRAN, nbb,
CnpD, BETA, Mptr( C, CiiD, Ckk, Cld, size ), Cld,
one, Cbuf, Cbufld );
if( Cbuf ) free( Cbuf );
}
}
else
{
/*
* Accumulate the intermediate results in WCC and WCR
*/
if( WCCsum )
{
WCCd[CSRC_] = 0;
if( Amp > 0 )
gsum2d( ctxt, ROW, &rctop, Amp, nbb, WCC, WCCld, myrow,
WCCd[CSRC_] );
}
if( WCRsum )
{
WCRd[RSRC_] = CcurrocR;
if( Anq > 0 )
gsum2d( ctxt, COLUMN, &cctop, nbb, Anq, WCR, WCRld,
WCRd[RSRC_], mycol );
}
/*
* WCR := WCR + WCC'
*/
PB_Cpaxpby( TYPE, CONJUG, An, nbb, one, WCC, 0, 0, WCCd, COLUMN,
one, WCR, 0, 0, WCRd, ROW );
if( WCCfr ) free( WCC );
/*
* Compute the descriptor DBUFC for the buffer that will contained the packed
* rows of sub( C ). Allocate it.
*/
if( ( Cfr = ( nrpq < nbb ) ) != 0 )
{
/*
* If rows of sub( C ) are not contiguous, then allocate receiving buffer.
*/
Cbufld = nbb; tbeta = zero;
if( CisR || ( BCmyprocR == CcurrocR ) )
Cbuf = PB_Cmalloc( CnpD * nbb * size );
}
else
{
/*
* Otherwise re-use sub( C )
*/
Cbufld = Cld; tbeta = BETA;
if( CisR || ( BCmyprocR == CcurrocR ) )
Cbuf = Mptr( C, Ckk+Coff, CiiD, Cld, size );
}
PB_Cdescset( DBUFC, nbb, BCnD, nbb, Cinb1D, nbb, CnbD, CcurrocR,
CrocD, ctxt, Cbufld );
/*
* sub( C ) := beta * sub( C ) + WCR
*/
PB_Cpaxpby( TYPE, NOCONJG, nbb, An, one, WCR, 0, 0, WCRd, ROW,
tbeta, Cbuf, 0, 0, DBUFC, ROW );
if( WCRfr ) free( WCR );
/*
* Unpack the kbb rows of sub( C ) and release the buffer containing them.
*/
if( Cfr && ( CisR || ( BCmyprocR == CcurrocR ) ) )
{
PB_CVMpack( TYPE, &VM, ROW, ROW, UNPACKING, NOTRAN, nbb,
CnpD, BETA, Mptr( C, Ckk, CiiD, Cld, size ), Cld,
one, Cbuf, Cbufld );
if( Cbuf ) free( Cbuf );
}
}
/*
* Update the local indexes of sub( B ) and sub( C )
*/
PB_CVMupdate( &VM, nbb, &Ckk, &Bkk );
npq -= nbb;
}
/*
* Go to next or previous virtual process row or column
*/
if( ( BCfwd && ( p == maxpm1 ) ) ||
( !( BCfwd ) && ( p == 0 ) ) )
q = ( BCfwd ? MModAdd1( q, maxq ) : MModSub1( q, maxq ) );
p = ( BCfwd ? MModAdd1( p, maxp ) : MModSub1( p, maxp ) );
}
if( conjg ) free( ( lside ? talphaCR : talphaRC ) );
/*
* End of PB_CpsymmBC
*/
}
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