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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_Cptrsm( PBTYP_T * TYPE, int FBCAST, char * SIDE, char * UPLO,
char * TRANS, char * DIAG, int M, int N, char * ALPHA,
char * A, int IA, int JA, int * DESCA, char * BC,
int LDBC, char * BR, int LDBR )
#else
void PB_Cptrsm( TYPE, FBCAST, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA,
A, IA, JA, DESCA, BC, LDBC, BR, LDBR )
/*
* .. Scalar Arguments ..
*/
char * ALPHA, * DIAG, * SIDE, * TRANS, * UPLO;
int FBCAST, IA, JA, LDBC, LDBR, M, N;
PBTYP_T * TYPE;
/*
* .. Array Arguments ..
*/
int * DESCA;
char * A, * BC, * BR;
#endif
{
/*
* Purpose
* =======
*
* PB_Cptrsm solves one of the matrix equations
*
* op( sub( A ) ) * X = B, or X * op( sub( A ) ) = alpha * B,
*
* where
*
* 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'.
*
* X and B are m by n submatrices, sub( A ) is a unit, or non-unit,
* upper or lower triangular submatrix and op( Y ) is one of
*
* op( Y ) = Y or op( Y ) = Y' or op( Y ) = conjg( Y' ).
*
* The submatrix X is overwritten on B.
*
* No test for singularity or near-singularity is included in this
* routine. Such tests must be performed before calling this routine.
*
* 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).
*
* FBCAST (global input) INTEGER
* On entry, FBCAST specifies whether the transposed of the vec-
* tor solution should be broadcast or not when there is a pos-
* sible ambiguity, i.e. when sub( A ) is just one block. When
* FBCAST is zero, the solution vector is not broadcast, and the
* the solution vector is broadcast otherwise.
*
* SIDE (global input) pointer to CHAR
* On entry, SIDE specifies whether op( sub( A ) ) appears on
* the left or right of X as follows:
*
* SIDE = 'L' or 'l' op( sub( A ) ) * X = B,
*
* SIDE = 'R' or 'r' X * op( sub( A ) ) = B.
*
* UPLO (global input) pointer to CHAR
* On entry, UPLO specifies whether the submatrix sub( A ) is
* an upper or lower triangular submatrix as follows:
*
* UPLO = 'U' or 'u' sub( A ) is an upper triangular
* submatrix,
*
* UPLO = 'L' or 'l' sub( A ) is a lower triangular
* submatrix.
*
* TRANS (global input) pointer to CHAR
* On entry, TRANS specifies the operation to be performed as
* follows:
*
* TRANS = 'N' or 'n' sub( A ) * X = B,
*
* TRANS = 'T' or 't' sub( A )' * X = B,
*
* TRANS = 'C' or 'c' conjg( sub( A )' ) * X = B.
*
* DIAG (global input) pointer to CHAR
* On entry, DIAG specifies whether or not sub( A ) is unit
* triangular as follows:
*
* DIAG = 'U' or 'u' sub( A ) is assumed to be unit trian-
* gular,
*
* DIAG = 'N' or 'n' sub( A ) is not assumed to be unit tri-
* angular.
*
* M (global input) INTEGER
* On entry, M specifies the number of rows of the submatrix B.
* M must be at least zero.
*
* N (global input) INTEGER
* On entry, N specifies the number of columns of the submatrix
* B. N must be at least zero.
*
* A (local input) pointer to CHAR
* On entry, A is an array of dimension (LLD_A, Ka), where Ka is
* at least Lc( 0, JA+M-1 ) when SIDE = 'L' or 'l' and is at
* least Lc( 0, JA+N-1 ) otherwise. Before entry, this array
* contains the local entries of the matrix A.
* Before entry with UPLO = 'U' or 'u', this array contains the
* local entries corresponding to the entries of the upper tri-
* angular submatrix sub( A ), and the local entries correspon-
* ding to the entries of the strictly lower triangular part of
* the submatrix sub( A ) are not referenced.
* Before entry with UPLO = 'L' or 'l', this array contains the
* local entries corresponding to the entries of the lower tri-
* angular submatrix sub( A ), and the local entries correspon-
* ding to the entries of the strictly upper triangular part of
* the submatrix sub( A ) are not referenced.
* Note that when DIAG = 'U' or 'u', the local entries corres-
* ponding to the diagonal elements of the submatrix sub( A )
* are not referenced either, but are assumed to be unity.
*
* 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.
*
* BC (local input/local output) pointer to CHAR
* On entry, BC is an array of dimension (LDBC,Kbc), where Kbc
* is at least N when SIDE is 'L' or 'l' and at least M other-
* wise. Before entry, when SIDE is 'L' or 'l' and TRANS is 'N'
* or 'n' or SIDE is 'R' or 'r' and TRANS is not 'N' or 'n',
* this array contains the local entries of the right-hand-side
* matrix B. Otherwise, the entries of BC should be zero. On
* exit, this array contains the partial solution matrix X.
*
* LDBC (local input) INTEGER
* On entry, LDBC specifies the leading dimension of the array
* BC. LDBC must be at least MAX( 1, Lr( IA, M ) ) when SIDE
* is 'L' or 'l' and at least MAX( 1, Lr( IA, N ) ) otherwise.
*
* BR (local input/local output) pointer to CHAR
* On entry, BR is an array of dimension (LDBR,Kbr), where Kbr
* is at least Lc( JA, M ) when SIDE is 'L' or 'l' and at least
* Lc( JA, N ) otherwise. Before entry, when SIDE is 'L' or 'l'
* and TRANS is 'N' or 'n' or SIDE is 'R' or 'r' and TRANS is
* not 'N' or 'n', the entries of BR should be zero. Otherwise,
* this array contains the local entries of the right-hand-side
* matrix B. On exit, this array contains the partial solution
* matrix X.
*
* LDBR (local input) INTEGER
* On entry, LDBR specifies the leading dimension of the array
* BR. LDBR must be at least MAX( 1, N ) when SIDE is 'L' or 'l'
* and at least MAX( 1, M ) otherwise.
*
* -- Written on April 1, 1998 by
* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
*
* ---------------------------------------------------------------------
*/
/*
* .. Local Scalars ..
*/
char btop, * negone, * one, * talpha1, * talpha2, * zero;
int Acol, Aii, Aimb1, Ainb1, Ais1Col, Ais1Row, AisColRep,
AisRowRep, Ajj, Alcol, Ald, Alrow, Amb, Anpprev, Anb, Anp,
Anq, Arow, Asrc, ChangeRoc=0, LNorRT, Na, Nb, bcst, ctxt,
izero=0, k=0, kb, kbprev=0, kbsize, lside, mb1, mycol, myrow,
n1, n1last, n1p, n1pprev=0, nb1, nlast, notran, npcol, nprow,
rocprev, size, tmp1, tmp2;
MMADD_T add, tadd;
TZPAD_T pad;
GEMM_T gemm;
TRSM_T trsm;
GESD2D_T send;
GERV2D_T recv;
GEBS2D_T bsend;
GEBR2D_T brecv;
/*
* .. Local Arrays ..
*/
char * Aprev = NULL, * Bd = NULL, * Bdprev = NULL,
* Bprev = NULL, * work = NULL;
/* ..
* .. Executable Statements ..
*
*/
if( ( M <= 0 ) || ( N <= 0 ) ) return;
/*
* Retrieve process grid information
*/
Cblacs_gridinfo( ( ctxt = DESCA[CTXT_] ), &nprow, &npcol, &myrow, &mycol );
lside = ( Mupcase( SIDE [0] ) == CLEFT );
notran = ( Mupcase( TRANS[0] ) == CNOTRAN );
LNorRT = ( lside && notran ) || ( !( lside ) && !( notran ) );
if( LNorRT ) { Na = M; Nb = N; } else { Na = N; Nb = M; }
/*
* Retrieve sub( A )'s local information: Aii, Ajj, Arow, Acol ...
*/
PB_Cinfog2l( IA, JA, DESCA, nprow, npcol, myrow, mycol, &Aii, &Ajj, &Arow,
&Acol );
/*
* Determine if sub( A ) spans more than one process row, and/or more than one
* process column.
*/
Amb = DESCA[MB_]; Anb = DESCA[NB_]; Ald = DESCA[LLD_ ];
Aimb1 = PB_Cfirstnb( Na, IA, DESCA[IMB_], Amb );
Anp = PB_Cnumroc( Na, 0, Aimb1, Amb, myrow, Arow, nprow );
Ais1Row = !( PB_Cspan( Na, 0, Aimb1, Amb, Arow, nprow ) );
Ainb1 = PB_Cfirstnb( Na, JA, DESCA[INB_], Anb );
Anq = PB_Cnumroc( Na, 0, Ainb1, Anb, mycol, Acol, npcol );
Ais1Col = !( PB_Cspan( Na, 0, Ainb1, Anb, Acol, npcol ) );
/*
* When sub( A ) spans only one process, solve the system locally and return.
*/
if( Ais1Row && Ais1Col )
{
if( LNorRT )
{
if( Anq > 0 )
{
if( Anp > 0 )
{
TYPE->Ftrsm( C2F_CHAR( ( notran ? SIDE : ( lside ? RIGHT :
LEFT ) ) ), C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ),
C2F_CHAR( DIAG ), &M, &N, ALPHA, Mptr( A, Aii, Ajj,
Ald, TYPE->size ), &Ald, BC, &LDBC );
TYPE->Fmmtadd( &M, &N, TYPE->one, BC, &LDBC, TYPE->zero, BR,
&LDBR );
}
if( ( Arow >= 0 ) && FBCAST )
{
btop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_GET );
if( myrow == Arow )
TYPE->Cgebs2d( ctxt, COLUMN, &btop, N, M, BR, LDBR );
else
TYPE->Cgebr2d( ctxt, COLUMN, &btop, N, M, BR, LDBR, Arow,
mycol );
}
}
}
else
{
if( Anp > 0 )
{
if( Anq > 0 )
{
TYPE->Ftrsm( C2F_CHAR( ( notran ? SIDE : ( lside ? RIGHT :
LEFT ) ) ), C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ),
C2F_CHAR( DIAG ), &M, &N, ALPHA, Mptr( A, Aii, Ajj,
Ald, TYPE->size ), &Ald, BR, &LDBR );
TYPE->Fmmtadd( &M, &N, TYPE->one, BR, &LDBR, TYPE->zero, BC,
&LDBC );
}
if( ( Acol >= 0 ) && FBCAST )
{
btop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
if( mycol == Acol )
TYPE->Cgebs2d( ctxt, ROW, &btop, N, M, BC, LDBC );
else
TYPE->Cgebr2d( ctxt, ROW, &btop, N, M, BC, LDBC, myrow,
Acol );
}
}
}
return;
}
/*
* Retrieve from TYPE structure useful BLAS and BLACS functions.
*/
size = TYPE->size;
negone = TYPE->negone; one = TYPE->one; zero = TYPE->zero;
add = TYPE->Fmmadd; tadd = TYPE->Fmmtadd; pad = TYPE->Ftzpad;
gemm = TYPE->Fgemm; trsm = TYPE->Ftrsm;
send = TYPE->Cgesd2d; recv = TYPE->Cgerv2d;
bsend = TYPE->Cgebs2d; brecv = TYPE->Cgebr2d;
if( ( Anp > 0 ) && ( Anq > 0 ) ) A = Mptr( A, Aii, Ajj, Ald, size );
if( LNorRT )
{
/*
* Left - No tran or Right - (co)Trans
*/
if( ( Anq <= 0 ) || ( Ais1Row && ( ( Arow >= 0 ) && !( FBCAST ) &&
( myrow != Arow ) ) ) ) return;
btop = *PB_Ctop( &ctxt, BCAST, COLUMN, TOP_GET );
bcst = ( ( !Ais1Row ) || ( Ais1Row && ( Arow >= 0 ) && FBCAST ) );
AisRowRep = ( ( Arow < 0 ) || ( nprow == 1 ) );
if( Mupcase( UPLO[0] ) == CUPPER )
{
/*
* Initiate lookahead
*/
nlast = ( npcol - 1 ) * Anb;
n1 = MAX( nlast, Anb );
nlast += Ainb1;
n1last = n1 - Anb + MAX( Ainb1, Anb );
work = PB_Cmalloc( Nb * MIN( n1last, Anp ) * size );
tmp1 = Na-1;
Alrow = PB_Cindxg2p( tmp1, Aimb1, Amb, Arow, Arow, nprow );
Alcol = PB_Cindxg2p( tmp1, Ainb1, Anb, Acol, Acol, npcol );
rocprev = Alcol; Anpprev = Anp; Bprev = BC; Bdprev = BR;
Aprev = A = Mptr( A, 0, Anq, Ald, size );
mb1 = PB_Clastnb( Na, 0, Aimb1, Amb );
nb1 = PB_Clastnb( Na, 0, Ainb1, Anb );
tmp1 = Na - ( kb = MIN( mb1, nb1 ) );
n1 = ( ( Ais1Col || ( Na - nb1 < nlast ) ) ? n1last : n1 );
tmp2 = n1 + nb1 - kb; tmp1 -= ( tmp2 = MIN( tmp1, tmp2 ) );
Asrc = Arow;
n1p = PB_Cnumroc( tmp2, MAX( 0, tmp1 ), Aimb1, Amb, myrow, Asrc,
nprow );
talpha1 = talpha2 = ( ( Ais1Col || ( mycol == Alcol ) ) ?
ALPHA : one );
while( Na > 0 )
{
kbsize = kb * size;
if( Ais1Col || ( mycol == Alcol ) )
{ A -= Ald*kbsize; Anq -= kb; Bd = Mptr( BR, 0, Anq, LDBR, size ); }
if( ( Arow < 0 ) || ( myrow == Alrow ) ) { Anp -= kb; }
/*
* Partial update of previous block
*/
if( n1pprev > 0 )
{
if( ( Ais1Col || ( mycol == rocprev ) ) && ( kbprev > 0 ) )
{
tmp1 = ( Anpprev - n1pprev ) * size;
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( TRAN ), &n1pprev, &Nb,
&kbprev, negone, Aprev+tmp1, &Ald, Bdprev, &LDBR,
talpha1, Bprev+tmp1, &LDBC );
}
/*
* Send partial updated result to current column
*/
if( !( Ais1Col ) && ChangeRoc )
{
if( mycol == rocprev )
{
send( ctxt, n1pprev, Nb, Mptr( Bprev, Anpprev-n1pprev, 0,
LDBC, size ), LDBC, myrow, Alcol );
}
else if( mycol == Alcol )
{
recv( ctxt, n1pprev, Nb, work, n1pprev, myrow, rocprev );
add( &n1pprev, &Nb, one, work, &n1pprev, one, Mptr( Bprev,
Anpprev-n1pprev, 0, LDBC, size ), &LDBC );
}
}
}
/*
* Solve current diagonal block
*/
if( Ais1Col || ( mycol == Alcol ) )
{
if( AisRowRep || ( myrow == Alrow ) )
{
trsm( C2F_CHAR( LEFT ), C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ),
C2F_CHAR( DIAG ), &kb, &Nb, talpha2, Mptr( A, Anp, 0,
Ald, size ), &Ald, Mptr( BC, Anp, 0, LDBC, size ),
&LDBC );
tadd( &kb, &Nb, one, Mptr( BC, Anp, 0, LDBC, size ), &LDBC,
zero, Mptr( BR, 0, Anq, LDBR, size ), &LDBR );
}
if( bcst )
{
if( myrow == Alrow )
bsend( ctxt, COLUMN, &btop, Nb, kb, Mptr( BR, 0, Anq, LDBR,
size ), LDBR );
else
brecv( ctxt, COLUMN, &btop, Nb, kb, Mptr( BR, 0, Anq, LDBR,
size ), LDBR, Alrow, mycol );
}
talpha2 = one;
}
else
{
if( !( Ais1Col ) && ( AisRowRep || ( myrow == Alrow ) ) )
pad( C2F_CHAR( ALL ), C2F_CHAR( NOCONJG ), &kb, &Nb, &izero,
zero, zero, Mptr( BC, Anp, 0, LDBC, size ), &LDBC );
}
/*
* Finish previous update
*/
if( ( Ais1Col || ( mycol == rocprev ) ) && ( kbprev > 0 ) )
{
if( ( tmp1 = Anpprev - n1pprev ) > 0 )
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( TRAN ), &tmp1, &Nb,
&kbprev, negone, Aprev, &Ald, Bdprev, &LDBR, talpha1,
Bprev, &LDBC );
talpha1 = one;
}
/*
* Save info of current step and update info for the next step
*/
if( Ais1Col || ( mycol == Alcol ) ) { Bdprev = Bd; Aprev = A; }
if( AisRowRep || ( myrow == Alrow ) ) { Anpprev -= kb; }
n1pprev = n1p;
rocprev = Alcol;
kbprev = kb;
k += kb;
Na -= kb;
mb1 -= kb;
if( mb1 == 0 )
{
if( !( Ais1Row ) && ( Alrow >= 0 ) )
Alrow = MModSub1( Alrow, nprow );
mb1 = ( Na > Aimb1 ? Amb : Aimb1 );
}
nb1 -= kb;
ChangeRoc = ( nb1 == 0 );
if( ChangeRoc )
{
if( !( Ais1Col ) && ( Alcol >= 0 ) )
Alcol = MModSub1( Alcol, npcol );
nb1 = ( Na > Ainb1 ? Anb : Ainb1 );
}
tmp1 = Na - ( kb = MIN( mb1, nb1 ) );
n1 = ( ( Ais1Col || ( Na-nb1 < nlast ) ) ? n1last : n1 );
tmp2 = n1 + nb1 - kb; tmp1 -= ( tmp2 = MIN( tmp1, tmp2 ) );
n1p = PB_Cnumroc( tmp2, MAX( 0, tmp1 ), Aimb1, Amb, myrow, Asrc,
nprow );
}
}
else
{
/*
* Initiate lookahead
*/
n1 = ( MAX( npcol, 2 ) - 1 ) * Anb;
work = PB_Cmalloc( Nb*MIN( n1, Anp )*size );
Aprev = A; Bprev = BC, Bdprev = BR; Anpprev = Anp;
mb1 = Aimb1; nb1 = Ainb1; rocprev = Acol;
tmp1 = Na - ( kb = MIN( mb1, nb1 ) ); tmp2 = n1 + nb1 - kb;
Asrc = Arow;
n1p = PB_Cnumroc( MIN( tmp1, tmp2 ), kb, Aimb1, Amb, myrow, Asrc,
nprow );
talpha1 = talpha2 = ( ( Ais1Col || ( mycol == Acol ) ) ?
ALPHA : one );
while( kb > 0 )
{
kbsize = kb * size;
/*
* Partial update of previous block
*/
if( n1pprev > 0 )
{
if( ( Ais1Col || ( mycol == rocprev ) ) && ( kbprev > 0 ) )
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( TRAN ), &n1pprev, &Nb,
&kbprev, negone, Aprev, &Ald, Bdprev, &LDBR, talpha1,
Bprev, &LDBC );
/*
* Send partial updated result to current column
*/
if( !( Ais1Col ) && ChangeRoc )
{
if( mycol == rocprev )
{
send( ctxt, n1pprev, Nb, Bprev, LDBC, myrow, Acol );
}
else if( mycol == Acol )
{
recv( ctxt, n1pprev, Nb, work, n1pprev, myrow, rocprev );
add( &n1pprev, &Nb, one, work, &n1pprev, one, Bprev,
&LDBC );
}
}
}
/*
* Solve current diagonal block
*/
if( Ais1Col || ( mycol == Acol ) )
{
if( AisRowRep || ( myrow == Arow ) )
{
trsm( C2F_CHAR( LEFT ), C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ),
C2F_CHAR( DIAG ), &kb, &Nb, talpha2, A, &Ald, BC,
&LDBC );
tadd( &kb, &Nb, one, BC, &LDBC, zero, BR, &LDBR );
}
if( bcst )
{
if( myrow == Arow )
bsend( ctxt, COLUMN, &btop, Nb, kb, BR, LDBR );
else
brecv( ctxt, COLUMN, &btop, Nb, kb, BR, LDBR, Arow,
mycol );
}
talpha2 = one;
}
else
{
if( !( Ais1Col ) && ( AisRowRep || ( myrow == Arow ) ) )
pad( C2F_CHAR( ALL ), C2F_CHAR( NOCONJG ), &kb, &Nb, &izero,
zero, zero, BC, &LDBC );
}
/*
* Finish previous update
*/
if( ( Ais1Col || ( mycol == rocprev ) ) && ( kbprev > 0 ) )
{
if( ( tmp1 = Anpprev - n1pprev ) > 0 )
{
tmp2 = n1pprev * size;
gemm( C2F_CHAR( NOTRAN ), C2F_CHAR( TRAN ), &tmp1, &Nb,
&kbprev, negone, Aprev+tmp2, &Ald, Bdprev, &LDBR,
talpha1, Bprev+tmp2, &LDBC );
}
Aprev += Ald * kbprev * size; talpha1 = one;
}
/*
* Save info of current step and update info for the next step
*/
if( Ais1Col || ( mycol == Acol ) )
{ A += Ald*kbsize; Bdprev = Bd = BR; BR += LDBR*kbsize; }
if( AisRowRep || ( myrow == Arow ) )
{
Bprev = ( BC += kbsize );
A += kbsize;
Aprev += kbsize;
Anpprev = ( Anp -= kb );
}
n1pprev = n1p;
rocprev = Acol;
kbprev = kb;
k += kb;
Na -= kb;
mb1 -= kb;
if( mb1 == 0 )
{
if( !( Ais1Row ) && ( Arow >= 0 ) )
Arow = MModAdd1( Arow, nprow );
mb1 = MIN( Amb, Na );
}
nb1 -= kb;
ChangeRoc = ( nb1 == 0 );
if( ChangeRoc )
{
if( !( Ais1Col ) && ( Acol >= 0 ) )
Acol = MModAdd1( Acol, npcol );
nb1 = MIN( Anb, Na );
}
tmp1 = Na - ( kb = MIN( mb1, nb1 ) ); tmp2 = n1 + nb1 - kb;
n1p = PB_Cnumroc( MIN( tmp2, tmp1 ), k + kb, Aimb1, Amb, myrow,
Asrc, nprow );
}
}
}
else
{
/*
* Right - No tran or Left - (co)Trans
*/
if( ( Anp <= 0 ) || ( Ais1Col && ( ( Acol >= 0 ) && !( FBCAST ) &&
( mycol != Acol ) ) ) ) return;
btop = *PB_Ctop( &ctxt, BCAST, ROW, TOP_GET );
bcst = ( ( !Ais1Col ) || ( Ais1Col && ( Acol >= 0 ) && FBCAST ) );
AisColRep = ( ( Acol < 0 ) || ( npcol == 1 ) );
if( Mupcase( UPLO[0] ) == CUPPER )
{
/*
* Initiate lookahead
*/
n1 = ( MAX( nprow, 2 ) - 1 ) * Amb;
work = PB_Cmalloc( Nb*MIN( n1, Anq )*size );
Aprev = A; Bprev = BR, Bdprev = BC; Anpprev = Anq;
mb1 = Aimb1; nb1 = Ainb1; rocprev = Arow;
tmp1 = Na - ( kb = MIN( mb1, nb1 ) ); tmp2 = n1 + mb1 - kb;
Asrc = Acol;
n1p = PB_Cnumroc( MIN( tmp1, tmp2 ), kb, Ainb1, Anb, mycol, Asrc,
npcol );
talpha1 = talpha2 = ( ( Ais1Row || ( myrow == Arow ) ) ?
ALPHA : one );
while( kb > 0 )
{
kbsize = kb * size;
/*
* Partial update of previous block
*/
if( n1pprev > 0 )
{
if( ( Ais1Row || ( myrow == rocprev ) ) && ( kbprev > 0 ) )
gemm( C2F_CHAR( TRAN ), C2F_CHAR( NOTRAN ), &Nb, &n1pprev,
&kbprev, negone, Bdprev, &LDBC, Aprev, &Ald, talpha1,
Bprev, &LDBR );
/*
* Send partial updated result to current row
*/
if( !( Ais1Row ) && ChangeRoc )
{
if( myrow == rocprev )
{
send( ctxt, Nb, n1pprev, Bprev, LDBR, Arow, mycol );
}
else if( myrow == Arow )
{
recv( ctxt, Nb, n1pprev, work, Nb, rocprev, mycol );
add( &Nb, &n1pprev, one, work, &Nb, one, Bprev, &LDBR );
}
}
}
/*
* Solve current diagonal block
*/
if( Ais1Row || ( myrow == Arow ) )
{
if( AisColRep || ( mycol == Acol ) )
{
trsm( C2F_CHAR( RIGHT ), C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ),
C2F_CHAR( DIAG ), &Nb, &kb, talpha2, A, &Ald, BR,
&LDBR );
tadd( &Nb, &kb, one, BR, &LDBR, zero, BC, &LDBC );
}
if( bcst )
{
if( mycol == Acol )
bsend( ctxt, ROW, &btop, kb, Nb, BC, LDBC );
else
brecv( ctxt, ROW, &btop, kb, Nb, BC, LDBC, myrow, Acol );
}
talpha2 = one;
}
else
{
if( !( Ais1Row ) && ( AisColRep || ( mycol == Acol ) ) )
pad( C2F_CHAR( ALL ), C2F_CHAR( NOCONJG ), &Nb, &kb, &izero,
zero, zero, BR, &LDBR );
}
/*
* Finish previous update
*/
if( ( Ais1Row || ( myrow == rocprev ) ) && ( kbprev > 0 ) )
{
if( ( tmp1 = Anpprev - n1pprev ) > 0 )
{
tmp2 = n1pprev * size;
gemm( C2F_CHAR( TRAN ), C2F_CHAR( NOTRAN ), &Nb, &tmp1,
&kbprev, negone, Bdprev, &LDBC, Aprev+Ald*tmp2, &Ald,
talpha1, Bprev+LDBR*tmp2, &LDBR );
}
Aprev += kbprev * size; talpha1 = one;
}
/*
* Save info of current step and update info for the next step
*/
if( Ais1Row || ( myrow == Arow ) )
{ A += kbsize; Bdprev = Bd = BC; BC += kbsize; }
if( AisColRep || ( mycol == Acol ) )
{
Bprev = ( BR += LDBR * kbsize );
A += Ald * kbsize;
Anpprev = ( Anq -= kb );
Aprev += Ald * kbsize;
}
n1pprev = n1p;
rocprev = Arow;
kbprev = kb;
k += kb;
Na -= kb;
nb1 -= kb;
if( nb1 == 0 )
{
if( !( Ais1Col ) && ( Acol >= 0 ) )
Acol = MModAdd1( Acol, npcol );
nb1 = MIN( Anb, Na );
}
mb1 -= kb;
ChangeRoc = ( mb1 == 0 );
if( ChangeRoc )
{
if( !( Ais1Row ) && ( Arow >= 0 ) )
Arow = MModAdd1( Arow, nprow );
mb1 = MIN( Amb, Na );
}
tmp1 = Na - ( kb = MIN( mb1, nb1 ) ); tmp2 = n1 + mb1 - kb;
n1p = PB_Cnumroc( MIN( tmp2, tmp1 ), k + kb, Ainb1, Anb, mycol,
Asrc, npcol );
}
}
else
{
/*
* Initiate lookahead
*/
nlast = ( nprow - 1 ) * Amb;
n1 = MAX( nlast, Amb );
nlast += Aimb1;
n1last = n1 - Amb + MAX( Aimb1, Amb );
work = PB_Cmalloc( Nb * MIN( n1last, Anq ) * size );
tmp1 = Na-1;
Alrow = PB_Cindxg2p( tmp1, Aimb1, Amb, Arow, Arow, nprow );
Alcol = PB_Cindxg2p( tmp1, Ainb1, Anb, Acol, Acol, npcol );
rocprev = Alrow; Anpprev = Anq; Bprev = BR; Bdprev = BC;
Aprev = A = Mptr( A, Anp, 0, Ald, size );
mb1 = PB_Clastnb( Na, 0, Aimb1, Amb );
nb1 = PB_Clastnb( Na, 0, Ainb1, Anb );
tmp1 = Na - ( kb = MIN( mb1, nb1 ) );
n1 = ( ( Ais1Row || ( Na-mb1 < nlast ) ) ? n1last : n1 );
tmp2 = n1 + mb1 - kb; tmp1 -= ( tmp2 = MIN( tmp1, tmp2 ) );
Asrc = Acol;
n1p = PB_Cnumroc( tmp2, MAX( 0, tmp1 ), Ainb1, Anb, mycol, Asrc,
npcol );
talpha1 = talpha2 = ( ( Ais1Row || ( myrow == Alrow ) ) ?
ALPHA : one );
while( Na > 0 )
{
kbsize = kb * size;
if( Ais1Row || ( myrow == Alrow ) )
{ A -= kbsize; Anp -= kb; Bd = Mptr( BC, Anp, 0, LDBC, size ); }
if( ( Acol < 0 ) || ( mycol == Alcol ) ) { Anq -= kb; }
/*
* Partial update of previous block
*/
if( n1pprev > 0 )
{
if( ( Ais1Row || ( myrow == rocprev ) ) && ( kbprev > 0 ) )
{
tmp1 = ( Anpprev - n1pprev ) * size;
TYPE->Fgemm( C2F_CHAR( TRAN ), C2F_CHAR( NOTRAN ),
&Nb, &n1pprev, &kbprev, negone, Bdprev,
&LDBC, Aprev+Ald*tmp1, &Ald, talpha1,
Bprev+LDBR*tmp1, &LDBR );
}
/*
* Send partial updated result to current row
*/
if( !( Ais1Row ) && ChangeRoc )
{
if( myrow == rocprev )
{
send( ctxt, Nb, n1pprev, Mptr( Bprev, 0, Anpprev-n1pprev,
LDBR, size ), LDBR, Alrow, mycol );
}
else if( myrow == Alrow )
{
recv( ctxt, Nb, n1pprev, work, Nb, rocprev, mycol );
add( &Nb, &n1pprev, one, work, &Nb, one, Mptr( Bprev, 0,
Anpprev-n1pprev, LDBR, size ), &LDBR );
}
}
}
/*
* Solve current diagonal block
*/
if( Ais1Row || ( myrow == Alrow ) )
{
if( AisColRep || ( mycol == Alcol ) )
{
trsm( C2F_CHAR( RIGHT ), C2F_CHAR( UPLO ), C2F_CHAR( NOTRAN ),
C2F_CHAR( DIAG ), &Nb, &kb, talpha2, Mptr( A, 0, Anq,
Ald, size ), &Ald, Mptr( BR, 0, Anq, LDBR, size ),
&LDBR );
tadd( &Nb, &kb, one, Mptr( BR, 0, Anq, LDBR, size ), &LDBR,
zero, Mptr( BC, Anp, 0, LDBC, size ), &LDBC );
}
if( bcst )
{
if( mycol == Alcol )
bsend( ctxt, ROW, &btop, kb, Nb, Mptr( BC, Anp, 0, LDBC,
size ), LDBC );
else
brecv( ctxt, ROW, &btop, kb, Nb, Mptr( BC, Anp, 0, LDBC,
size ), LDBC, myrow, Alcol );
}
talpha2 = one;
}
else
{
if( !( Ais1Row ) && ( AisColRep || ( mycol == Alcol ) ) )
pad( C2F_CHAR( ALL ), C2F_CHAR( NOCONJG ), &Nb, &kb, &izero,
zero, zero, Mptr( BR, 0, Anq, LDBR, size ), &LDBR );
}
/*
* Finish previous update
*/
if( ( Ais1Row || ( myrow == rocprev ) ) && ( kbprev > 0 ) )
{
if( ( tmp1 = Anpprev - n1pprev ) > 0 )
gemm( C2F_CHAR( TRAN ), C2F_CHAR( NOTRAN ), &Nb, &tmp1,
&kbprev, negone, Bdprev, &LDBC, Aprev, &Ald, talpha1,
Bprev, &LDBR );
talpha1 = one;
}
/*
* Save info of current step and update info for the next step
*/
if( Ais1Row || ( myrow == Alrow ) ) { Bdprev = Bd; Aprev = A; }
if( AisColRep || ( mycol == Alcol ) ) { Anpprev -= kb; }
n1pprev = n1p;
rocprev = Alrow;
kbprev = kb;
k += kb;
Na -= kb;
nb1 -= kb;
if( nb1 == 0 )
{
if( !( Ais1Col ) && ( Alcol >= 0 ) )
Alcol = MModSub1( Alcol, npcol );
nb1 = ( Na > Ainb1 ? Anb : Ainb1 );
}
mb1 -= kb;
ChangeRoc = ( mb1 == 0 );
if( ChangeRoc )
{
if( !( Ais1Row ) && ( Alrow >= 0 ) )
Alrow = MModSub1( Alrow, nprow );
mb1 = ( Na > Aimb1 ? Amb : Aimb1 );
}
tmp1 = Na - ( kb = MIN( mb1, nb1 ) );
n1 = ( ( Ais1Row || ( Na-mb1 < nlast ) ) ? n1last : n1 );
tmp2 = n1 + mb1 - kb; tmp1 -= ( tmp2 = MIN( tmp1, tmp2 ) );
n1p = PB_Cnumroc( tmp2, MAX( 0, tmp1 ), Ainb1, Anb, mycol, Asrc,
npcol );
}
}
}
if( work ) free( work );
/*
* End of PB_Cptrsm
*/
}
|
