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pdgstrs.c.2
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/*! \file
Copyright (c) 2003, The Regents of the University of California, through
Lawrence Berkeley National Laboratory (subject to receipt of any required
approvals from U.S. Dept. of Energy)
All rights reserved.
The source code is distributed under BSD license, see the file License.txt
at the top-level directory.
*/
/*! @file
* \brief Solves a system of distributed linear equations A*X = B with a
* general N-by-N matrix A using the LU factors computed previously.
*
* <pre>
* -- Distributed SuperLU routine (version 6.0) --
* Lawrence Berkeley National Lab, Univ. of California Berkeley.
* October 15, 2008
* September 18, 2018 version 6.0
* </pre>
*/
#include <math.h>
#include "superlu_ddefs.h"
#ifndef CACHELINE
#define CACHELINE 64 /* bytes, Xeon Phi KNL, Cori haswell, Edision */
#endif
/*
* Sketch of the algorithm for L-solve:
* =======================
*
* Self-scheduling loop:
*
* while ( not finished ) { .. use message counter to control
*
* reveive a message;
*
* if ( message is Xk ) {
* perform local block modifications into lsum[];
* lsum[i] -= L_i,k * X[k]
* if all local updates done, Isend lsum[] to diagonal process;
*
* } else if ( message is LSUM ) { .. this must be a diagonal process
* accumulate LSUM;
* if ( all LSUM are received ) {
* perform triangular solve for Xi;
* Isend Xi down to the current process column;
* perform local block modifications into lsum[];
* }
* }
* }
*
*
* Auxiliary data structures: lsum[] / ilsum (pointer to lsum array)
* =======================
*
* lsum[] array (local)
* + lsum has "nrhs" columns, row-wise is partitioned by supernodes
* + stored by row blocks, column wise storage within a row block
* + prepend a header recording the global block number.
*
* lsum[] ilsum[nsupers + 1]
*
* -----
* | | | <- header of size 2 ---
* --------- <--------------------| |
* | | | | | ---
* | | | | | |-----------| |
* | | | | | | ---
* --------- | |-------| |
* | | | <- header | | ---
* --------- <--------| | |----| |
* | | | | | | | ---
* | | | | | | |
* | | | | | | |
* --------- | |
* | | | <- header | |
* --------- <------------| |
* | | | | | |
* | | | | | |
* | | | | | |
* --------- <---------------|
*/
/*#define ISEND_IRECV*/
/*
* Function prototypes
*/
#ifdef _CRAY
fortran void STRSM(_fcd, _fcd, _fcd, _fcd, int*, int*, double*,
double*, int*, double*, int*);
_fcd ftcs1;
_fcd ftcs2;
_fcd ftcs3;
#endif
/*! \brief
*
* <pre>
* Purpose
* =======
* Re-distribute B on the diagonal processes of the 2D process mesh.
*
* Note
* ====
* This routine can only be called after the routine pxgstrs_init(),
* in which the structures of the send and receive buffers are set up.
*
* Arguments
* =========
*
* B (input) double*
* The distributed right-hand side matrix of the possibly
* equilibrated system.
*
* m_loc (input) int (local)
* The local row dimension of matrix B.
*
* nrhs (input) int (global)
* Number of right-hand sides.
*
* ldb (input) int (local)
* Leading dimension of matrix B.
*
* fst_row (input) int (global)
* The row number of B's first row in the global matrix.
*
* ilsum (input) int* (global)
* Starting position of each supernode in a full array.
*
* x (output) double*
* The solution vector. It is valid only on the diagonal processes.
*
* ScalePermstruct (input) ScalePermstruct_t*
* The data structure to store the scaling and permutation vectors
* describing the transformations performed to the original matrix A.
*
* grid (input) gridinfo_t*
* The 2D process mesh.
*
* SOLVEstruct (input) SOLVEstruct_t*
* Contains the information for the communication during the
* solution phase.
*
* Return value
* ============
* </pre>
*/
int_t
pdReDistribute_B_to_X(double *B, int_t m_loc, int nrhs, int_t ldb,
int_t fst_row, int_t *ilsum, double *x,
ScalePermstruct_t *ScalePermstruct,
Glu_persist_t *Glu_persist,
gridinfo_t *grid, SOLVEstruct_t *SOLVEstruct)
{
int *SendCnt, *SendCnt_nrhs, *RecvCnt, *RecvCnt_nrhs;
int *sdispls, *sdispls_nrhs, *rdispls, *rdispls_nrhs;
int *ptr_to_ibuf, *ptr_to_dbuf;
int_t *perm_r, *perm_c; /* row and column permutation vectors */
int_t *send_ibuf, *recv_ibuf;
double *send_dbuf, *recv_dbuf;
int_t *xsup, *supno;
int_t i, ii, irow, gbi, j, jj, k, knsupc, l, lk, nbrow;
int p, procs;
pxgstrs_comm_t *gstrs_comm = SOLVEstruct->gstrs_comm;
MPI_Request req_i, req_d, *req_send, *req_recv;
MPI_Status status, *status_send, *status_recv;
int Nreq_recv, Nreq_send, pp;
double t;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(grid->iam, "Enter pdReDistribute_B_to_X()");
#endif
/* ------------------------------------------------------------
INITIALIZATION.
------------------------------------------------------------*/
perm_r = ScalePermstruct->perm_r;
perm_c = ScalePermstruct->perm_c;
procs = grid->nprow * grid->npcol;
xsup = Glu_persist->xsup;
supno = Glu_persist->supno;
SendCnt = gstrs_comm->B_to_X_SendCnt;
SendCnt_nrhs = gstrs_comm->B_to_X_SendCnt + procs;
RecvCnt = gstrs_comm->B_to_X_SendCnt + 2*procs;
RecvCnt_nrhs = gstrs_comm->B_to_X_SendCnt + 3*procs;
sdispls = gstrs_comm->B_to_X_SendCnt + 4*procs;
sdispls_nrhs = gstrs_comm->B_to_X_SendCnt + 5*procs;
rdispls = gstrs_comm->B_to_X_SendCnt + 6*procs;
rdispls_nrhs = gstrs_comm->B_to_X_SendCnt + 7*procs;
ptr_to_ibuf = gstrs_comm->ptr_to_ibuf;
ptr_to_dbuf = gstrs_comm->ptr_to_dbuf;
/* ------------------------------------------------------------
NOW COMMUNICATE THE ACTUAL DATA.
------------------------------------------------------------*/
if(procs==1){ // faster memory copy when procs=1
#ifdef _OPENMP
#pragma omp parallel default (shared)
#endif
{
#ifdef _OPENMP
#pragma omp master
#endif
{
// t = SuperLU_timer_();
#ifdef _OPENMP
#pragma omp taskloop private (i,l,irow,k,j,knsupc) untied
#endif
for (i = 0; i < m_loc; ++i) {
irow = perm_c[perm_r[i+fst_row]]; /* Row number in Pc*Pr*B */
k = BlockNum( irow );
knsupc = SuperSize( k );
l = X_BLK( k );
x[l - XK_H] = k; /* Block number prepended in the header. */
irow = irow - FstBlockC(k); /* Relative row number in X-block */
RHS_ITERATE(j) {
x[l + irow + j*knsupc] = B[i + j*ldb];
}
}
}
}
}else{
k = sdispls[procs-1] + SendCnt[procs-1]; /* Total number of sends */
l = rdispls[procs-1] + RecvCnt[procs-1]; /* Total number of receives */
if ( !(send_ibuf = intMalloc_dist(k + l)) )
ABORT("Malloc fails for send_ibuf[].");
recv_ibuf = send_ibuf + k;
if ( !(send_dbuf = doubleMalloc_dist((k + l)* (size_t)nrhs)) )
ABORT("Malloc fails for send_dbuf[].");
recv_dbuf = send_dbuf + k * nrhs;
if ( !(req_send = (MPI_Request*) SUPERLU_MALLOC(procs*sizeof(MPI_Request))) )
ABORT("Malloc fails for req_send[].");
if ( !(req_recv = (MPI_Request*) SUPERLU_MALLOC(procs*sizeof(MPI_Request))) )
ABORT("Malloc fails for req_recv[].");
if ( !(status_send = (MPI_Status*) SUPERLU_MALLOC(procs*sizeof(MPI_Status))) )
ABORT("Malloc fails for status_send[].");
if ( !(status_recv = (MPI_Status*) SUPERLU_MALLOC(procs*sizeof(MPI_Status))) )
ABORT("Malloc fails for status_recv[].");
for (p = 0; p < procs; ++p) {
ptr_to_ibuf[p] = sdispls[p];
ptr_to_dbuf[p] = sdispls[p] * nrhs;
}
/* Copy the row indices and values to the send buffer. */
// t = SuperLU_timer_();
for (i = 0, l = fst_row; i < m_loc; ++i, ++l) {
irow = perm_c[perm_r[l]]; /* Row number in Pc*Pr*B */
gbi = BlockNum( irow );
p = PNUM( PROW(gbi,grid), PCOL(gbi,grid), grid ); /* Diagonal process */
k = ptr_to_ibuf[p];
send_ibuf[k] = irow;
++ptr_to_ibuf[p];
k = ptr_to_dbuf[p];
RHS_ITERATE(j) { /* RHS is stored in row major in the buffer. */
send_dbuf[k++] = B[i + j*ldb];
}
ptr_to_dbuf[p] += nrhs;
}
// t = SuperLU_timer_() - t;
// printf(".. copy to send buffer time\t%8.4f\n", t);
#if 1
/* Communicate the (permuted) row indices. */
MPI_Alltoallv(send_ibuf, SendCnt, sdispls, mpi_int_t,
recv_ibuf, RecvCnt, rdispls, mpi_int_t, grid->comm);
/* Communicate the numerical values. */
MPI_Alltoallv(send_dbuf, SendCnt_nrhs, sdispls_nrhs, MPI_DOUBLE,
recv_dbuf, RecvCnt_nrhs, rdispls_nrhs, MPI_DOUBLE,
grid->comm);
#else
/* Communicate the (permuted) row indices. */
MPI_Ialltoallv(send_ibuf, SendCnt, sdispls, mpi_int_t,
recv_ibuf, RecvCnt, rdispls, mpi_int_t, grid->comm, &req_i);
/* Communicate the numerical values. */
MPI_Ialltoallv(send_dbuf, SendCnt_nrhs, sdispls_nrhs, MPI_DOUBLE,
recv_dbuf, RecvCnt_nrhs, rdispls_nrhs, MPI_DOUBLE,
grid->comm, &req_d);
MPI_Wait(&req_i,&status);
MPI_Wait(&req_d,&status);
#endif
/* ------------------------------------------------------------
Copy buffer into X on the diagonal processes.
------------------------------------------------------------*/
// t = SuperLU_timer_();
ii = 0;
for (p = 0; p < procs; ++p) {
jj = rdispls_nrhs[p];
for (i = 0; i < RecvCnt[p]; ++i) {
/* Only the diagonal processes do this; the off-diagonal processes
have 0 RecvCnt. */
irow = recv_ibuf[ii]; /* The permuted row index. */
k = BlockNum( irow );
knsupc = SuperSize( k );
lk = LBi( k, grid ); /* Local block number. */
l = X_BLK( lk );
x[l - XK_H] = k; /* Block number prepended in the header. */
irow = irow - FstBlockC(k); /* Relative row number in X-block */
RHS_ITERATE(j) {
x[l + irow + j*knsupc] = recv_dbuf[jj++];
}
++ii;
}
}
// t = SuperLU_timer_() - t;
// printf(".. copy to x time\t%8.4f\n", t);
SUPERLU_FREE(send_ibuf);
SUPERLU_FREE(send_dbuf);
SUPERLU_FREE(req_send);
SUPERLU_FREE(req_recv);
SUPERLU_FREE(status_send);
SUPERLU_FREE(status_recv);
}
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(grid->iam, "Exit pdReDistribute_B_to_X()");
#endif
return 0;
} /* pdReDistribute_B_to_X */
/*! \brief
*
* <pre>
* Purpose
* =======
* Re-distribute X on the diagonal processes to B distributed on all
* the processes.
*
* Note
* ====
* This routine can only be called after the routine pxgstrs_init(),
* in which the structures of the send and receive buffers are set up.
* </pre>
*/
int_t
pdReDistribute_X_to_B(int_t n, double *B, int_t m_loc, int_t ldb, int_t fst_row,
int_t nrhs, double *x, int_t *ilsum,
ScalePermstruct_t *ScalePermstruct,
Glu_persist_t *Glu_persist, gridinfo_t *grid,
SOLVEstruct_t *SOLVEstruct)
{
int_t i, ii, irow, j, jj, k, knsupc, nsupers, l, lk;
int_t *xsup, *supno;
int *SendCnt, *SendCnt_nrhs, *RecvCnt, *RecvCnt_nrhs;
int *sdispls, *rdispls, *sdispls_nrhs, *rdispls_nrhs;
int *ptr_to_ibuf, *ptr_to_dbuf;
int_t *send_ibuf, *recv_ibuf;
double *send_dbuf, *recv_dbuf;
int_t *row_to_proc = SOLVEstruct->row_to_proc; /* row-process mapping */
pxgstrs_comm_t *gstrs_comm = SOLVEstruct->gstrs_comm;
int iam, p, q, pkk, procs;
int_t num_diag_procs, *diag_procs;
MPI_Request req_i, req_d, *req_send, *req_recv;
MPI_Status status, *status_send, *status_recv;
int Nreq_recv, Nreq_send, pp;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(grid->iam, "Enter pdReDistribute_X_to_B()");
#endif
/* ------------------------------------------------------------
INITIALIZATION.
------------------------------------------------------------*/
xsup = Glu_persist->xsup;
supno = Glu_persist->supno;
nsupers = Glu_persist->supno[n-1] + 1;
iam = grid->iam;
procs = grid->nprow * grid->npcol;
SendCnt = gstrs_comm->X_to_B_SendCnt;
SendCnt_nrhs = gstrs_comm->X_to_B_SendCnt + procs;
RecvCnt = gstrs_comm->X_to_B_SendCnt + 2*procs;
RecvCnt_nrhs = gstrs_comm->X_to_B_SendCnt + 3*procs;
sdispls = gstrs_comm->X_to_B_SendCnt + 4*procs;
sdispls_nrhs = gstrs_comm->X_to_B_SendCnt + 5*procs;
rdispls = gstrs_comm->X_to_B_SendCnt + 6*procs;
rdispls_nrhs = gstrs_comm->X_to_B_SendCnt + 7*procs;
ptr_to_ibuf = gstrs_comm->ptr_to_ibuf;
ptr_to_dbuf = gstrs_comm->ptr_to_dbuf;
if(procs==1){ //faster memory copy when procs=1
#ifdef _OPENMP
#pragma omp parallel default (shared)
#endif
{
#ifdef _OPENMP
#pragma omp master
#endif
{
// t = SuperLU_timer_();
#ifdef _OPENMP
#pragma omp taskloop private (k,knsupc,lk,irow,l,i,j) untied
#endif
for (k = 0; k < nsupers; k++) {
knsupc = SuperSize( k );
lk = LBi( k, grid ); /* Local block number */
irow = FstBlockC( k );
l = X_BLK( lk );
for (i = 0; i < knsupc; ++i) {
RHS_ITERATE(j) { /* RHS is stored in row major in the buffer. */
B[irow-fst_row +i + j*ldb] = x[l + i + j*knsupc];
}
}
}
}
}
}else{
k = sdispls[procs-1] + SendCnt[procs-1]; /* Total number of sends */
l = rdispls[procs-1] + RecvCnt[procs-1]; /* Total number of receives */
if ( !(send_ibuf = intMalloc_dist(k + l)) )
ABORT("Malloc fails for send_ibuf[].");
recv_ibuf = send_ibuf + k;
if ( !(send_dbuf = doubleMalloc_dist((k + l)*nrhs)) )
ABORT("Malloc fails for send_dbuf[].");
if ( !(req_send = (MPI_Request*) SUPERLU_MALLOC(procs*sizeof(MPI_Request))) )
ABORT("Malloc fails for req_send[].");
if ( !(req_recv = (MPI_Request*) SUPERLU_MALLOC(procs*sizeof(MPI_Request))) )
ABORT("Malloc fails for req_recv[].");
if ( !(status_send = (MPI_Status*) SUPERLU_MALLOC(procs*sizeof(MPI_Status))) )
ABORT("Malloc fails for status_send[].");
if ( !(status_recv = (MPI_Status*) SUPERLU_MALLOC(procs*sizeof(MPI_Status))) )
ABORT("Malloc fails for status_recv[].");
recv_dbuf = send_dbuf + k * nrhs;
for (p = 0; p < procs; ++p) {
ptr_to_ibuf[p] = sdispls[p];
ptr_to_dbuf[p] = sdispls_nrhs[p];
}
num_diag_procs = SOLVEstruct->num_diag_procs;
diag_procs = SOLVEstruct->diag_procs;
for (p = 0; p < num_diag_procs; ++p) { /* For all diagonal processes. */
pkk = diag_procs[p];
if ( iam == pkk ) {
for (k = p; k < nsupers; k += num_diag_procs) {
knsupc = SuperSize( k );
lk = LBi( k, grid ); /* Local block number */
irow = FstBlockC( k );
l = X_BLK( lk );
for (i = 0; i < knsupc; ++i) {
#if 0
ii = inv_perm_c[irow]; /* Apply X <== Pc'*Y */
#else
ii = irow;
#endif
q = row_to_proc[ii];
jj = ptr_to_ibuf[q];
send_ibuf[jj] = ii;
jj = ptr_to_dbuf[q];
RHS_ITERATE(j) { /* RHS stored in row major in buffer. */
send_dbuf[jj++] = x[l + i + j*knsupc];
}
++ptr_to_ibuf[q];
ptr_to_dbuf[q] += nrhs;
++irow;
}
}
}
}
/* ------------------------------------------------------------
COMMUNICATE THE (PERMUTED) ROW INDICES AND NUMERICAL VALUES.
------------------------------------------------------------*/
#if 1
MPI_Alltoallv(send_ibuf, SendCnt, sdispls, mpi_int_t,
recv_ibuf, RecvCnt, rdispls, mpi_int_t, grid->comm);
MPI_Alltoallv(send_dbuf, SendCnt_nrhs, sdispls_nrhs,MPI_DOUBLE,
recv_dbuf, RecvCnt_nrhs, rdispls_nrhs, MPI_DOUBLE,
grid->comm);
#else
MPI_Ialltoallv(send_ibuf, SendCnt, sdispls, mpi_int_t,
recv_ibuf, RecvCnt, rdispls, mpi_int_t, grid->comm,&req_i);
MPI_Ialltoallv(send_dbuf, SendCnt_nrhs, sdispls_nrhs, MPI_DOUBLE,
recv_dbuf, RecvCnt_nrhs, rdispls_nrhs, MPI_DOUBLE,
grid->comm,&req_d);
MPI_Wait(&req_i,&status);
MPI_Wait(&req_d,&status);
#endif
/* ------------------------------------------------------------
COPY THE BUFFER INTO B.
------------------------------------------------------------*/
for (i = 0, k = 0; i < m_loc; ++i) {
irow = recv_ibuf[i];
irow -= fst_row; /* Relative row number */
RHS_ITERATE(j) { /* RHS is stored in row major in the buffer. */
B[irow + j*ldb] = recv_dbuf[k++];
}
}
SUPERLU_FREE(send_ibuf);
SUPERLU_FREE(send_dbuf);
SUPERLU_FREE(req_send);
SUPERLU_FREE(req_recv);
SUPERLU_FREE(status_send);
SUPERLU_FREE(status_recv);
}
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(grid->iam, "Exit pdReDistribute_X_to_B()");
#endif
return 0;
} /* pdReDistribute_X_to_B */
/*! \brief
*
* <pre>
* Purpose
* =======
* Compute the inverse of the diagonal blocks of the L and U
* triangular matrices.
* </pre>
*/
void
pdCompute_Diag_Inv(int_t n, LUstruct_t *LUstruct,gridinfo_t *grid,
SuperLUStat_t *stat, int *info)
{
#ifdef HAVE_LAPACK
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
double *lusup;
double *recvbuf, *tempv;
double *Linv;/* Inverse of diagonal block */
double *Uinv;/* Inverse of diagonal block */
int_t kcol, krow, mycol, myrow;
int_t i, ii, il, j, jj, k, lb, ljb, lk, lptr, luptr;
int_t nb, nlb,nlb_nodiag, nub, nsupers;
int_t *xsup, *supno, *lsub, *usub;
int_t *ilsum; /* Starting position of each supernode in lsum (LOCAL)*/
int Pc, Pr, iam;
int knsupc, nsupr;
int ldalsum; /* Number of lsum entries locally owned. */
int maxrecvsz, p, pi;
int_t **Lrowind_bc_ptr;
double **Lnzval_bc_ptr;
double **Linv_bc_ptr;
double **Uinv_bc_ptr;
int INFO;
double t;
double one = 1.0;
double zero = 0.0;
#if ( PROFlevel>=1 )
t = SuperLU_timer_();
#endif
#if ( PRNTlevel>=1 )
if ( grid->iam==0 ) {
printf("computing inverse of diagonal blocks...\n");
fflush(stdout);
}
#endif
/*
* Initialization.
*/
iam = grid->iam;
Pc = grid->npcol;
Pr = grid->nprow;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
xsup = Glu_persist->xsup;
supno = Glu_persist->supno;
nsupers = supno[n-1] + 1;
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Linv_bc_ptr = Llu->Linv_bc_ptr;
Uinv_bc_ptr = Llu->Uinv_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
nlb = CEILING( nsupers, Pr ); /* Number of local block rows. */
Llu->inv = 1;
/*---------------------------------------------------
* Compute inverse of L(lk,lk).
*---------------------------------------------------*/
for (k = 0; k < nsupers; ++k) {
krow = PROW( k, grid );
if ( myrow == krow ) {
lk = LBi( k, grid ); /* local block number */
kcol = PCOL( k, grid );
if ( mycol == kcol ) { /* diagonal process */
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
Linv = Linv_bc_ptr[lk];
Uinv = Uinv_bc_ptr[lk];
nsupr = lsub[1];
knsupc = SuperSize( k );
for (j=0 ; j<knsupc; j++){
for (i=0 ; i<knsupc; i++){
Linv[j*knsupc+i] = zero;
Uinv[j*knsupc+i] = zero;
}
}
for (j=0 ; j<knsupc; j++){
Linv[j*knsupc+j] = one;
for (i=j+1 ; i<knsupc; i++){
Linv[j*knsupc+i] = lusup[j*nsupr+i];
}
for (i=0 ; i<j+1; i++){
Uinv[j*knsupc+i] = lusup[j*nsupr+i];
}
}
/* Triangular inversion */
dtrtri_("L","U",&knsupc,Linv,&knsupc,&INFO);
dtrtri_("U","N",&knsupc,Uinv,&knsupc,&INFO);
} /* end if (mycol === kcol) */
} /* end if (myrow === krow) */
} /* end fo k = ... nsupers */
#if ( PROFlevel>=1 )
if( grid->iam==0 ) {
t = SuperLU_timer_() - t;
printf(".. L-diag_inv time\t%10.5f\n", t);
fflush(stdout);
}
#endif
return;
#endif /* HAVE_LAPACK */
}
/*! \brief
*
* <pre>
* Purpose
* =======
*
* PDGSTRS solves a system of distributed linear equations
* A*X = B with a general N-by-N matrix A using the LU factorization
* computed by PDGSTRF.
* If the equilibration, and row and column permutations were performed,
* the LU factorization was performed for A1 where
* A1 = Pc*Pr*diag(R)*A*diag(C)*Pc^T = L*U
* and the linear system solved is
* A1 * Y = Pc*Pr*B1, where B was overwritten by B1 = diag(R)*B, and
* the permutation to B1 by Pc*Pr is applied internally in this routine.
*
* Arguments
* =========
*
* n (input) int (global)
* The order of the system of linear equations.
*
* LUstruct (input) LUstruct_t*
* The distributed data structures storing L and U factors.
* The L and U factors are obtained from PDGSTRF for
* the possibly scaled and permuted matrix A.
* See superlu_ddefs.h for the definition of 'LUstruct_t'.
* A may be scaled and permuted into A1, so that
* A1 = Pc*Pr*diag(R)*A*diag(C)*Pc^T = L*U
*
* grid (input) gridinfo_t*
* The 2D process mesh. It contains the MPI communicator, the number
* of process rows (NPROW), the number of process columns (NPCOL),
* and my process rank. It is an input argument to all the
* parallel routines.
* Grid can be initialized by subroutine SUPERLU_GRIDINIT.
* See superlu_defs.h for the definition of 'gridinfo_t'.
*
* B (input/output) double*
* On entry, the distributed right-hand side matrix of the possibly
* equilibrated system. That is, B may be overwritten by diag(R)*B.
* On exit, the distributed solution matrix Y of the possibly
* equilibrated system if info = 0, where Y = Pc*diag(C)^(-1)*X,
* and X is the solution of the original system.
*
* m_loc (input) int (local)
* The local row dimension of matrix B.
*
* fst_row (input) int (global)
* The row number of B's first row in the global matrix.
*
* ldb (input) int (local)
* The leading dimension of matrix B.
*
* nrhs (input) int (global)
* Number of right-hand sides.
*
** SOLVEstruct (input) SOLVEstruct_t* (global)
* Contains the information for the communication during the
* solution phase.
*
* stat (output) SuperLUStat_t*
* Record the statistics about the triangular solves.
* See util.h for the definition of 'SuperLUStat_t'.
*
* info (output) int*
* = 0: successful exit
* < 0: if info = -i, the i-th argument had an illegal value
* </pre>
*/
#ifdef oneside
MPI_Win winl;
MPI_Win winl_rd;
MPI_Group comm_group;
#endif
void
pdgstrs(int_t n, LUstruct_t *LUstruct,
ScalePermstruct_t *ScalePermstruct,
gridinfo_t *grid, double *B,
int_t m_loc, int_t fst_row, int_t ldb, int nrhs,
SOLVEstruct_t *SOLVEstruct,
SuperLUStat_t *stat, int *info)
{
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
double alpha = 1.0;
double beta = 0.0;
double zero = 0.0;
double *lsum; /* Local running sum of the updates to B-components */
double *x; /* X component at step k. */
/* NOTE: x and lsum are of same size. */
double *lusup, *dest;
double *recvbuf, *recvbuf_on, *tempv,
*recvbufall, *recvbuf_BC_fwd, *recvbuf_oneside, *recvbuf0, *xin;
double *rtemp, *rtemp_loc; /* Result of full matrix-vector multiply. */
double *Linv; /* Inverse of diagonal block */
double *Uinv; /* Inverse of diagonal block */
int *ipiv;
int_t *leaf_send;
int_t nleaf_send, nleaf_send_tmp;
int_t *root_send;
int_t nroot_send, nroot_send_tmp;
int_t **Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
/*-- Data structures used for broadcast and reduction trees. --*/
BcTree *LBtree_ptr = Llu->LBtree_ptr;
RdTree *LRtree_ptr = Llu->LRtree_ptr;
BcTree *UBtree_ptr = Llu->UBtree_ptr;
RdTree *URtree_ptr = Llu->URtree_ptr;
int_t *Urbs1, *Urbs2; /* Number of row blocks in each block column of U. */
int_t *Urbs = Llu->Urbs; /* Number of row blocks in each block column of U. */
Ucb_indptr_t **Ucb_indptr = Llu->Ucb_indptr;/* Vertical linked list pointing to Uindex[] */
int_t **Ucb_valptr = Llu->Ucb_valptr; /* Vertical linked list pointing to Unzval[] */
int_t kcol, krow, mycol, myrow;
int_t i, ii, il, j, jj, k, kk, lb, ljb, lk, lib, lptr, luptr, gb, nn;
int_t nb, nlb,nlb_nodiag, nub, nsupers, nsupers_j, nsupers_i,maxsuper;
int_t *xsup, *supno, *lsub, *usub;
int_t *ilsum; /* Starting position of each supernode in lsum (LOCAL)*/
int iam, Pc, Pr, maxrecvsz;
int knsupc, nsupr, nprobe;
int nbtree, nrtree, outcount;
int ldalsum; /* Number of lsum entries locally owned. */
int p, pi;
int_t **Lrowind_bc_ptr;
double **Lnzval_bc_ptr;
double **Linv_bc_ptr;
double **Uinv_bc_ptr;
double sum;
MPI_Status status,status_on,statusx,statuslsum;
MPI_Request *send_req, recv_req, req;
pxgstrs_comm_t *gstrs_comm = SOLVEstruct->gstrs_comm;
SuperLUStat_t **stat_loc;
double tmax;
/*-- Counts used for L-solve --*/
int_t *fmod; /* Modification count for L-solve --
Count the number of local block products to
be summed into lsum[lk]. */
int_t fmod_tmp;
int_t **fsendx_plist = Llu->fsendx_plist;
int_t nfrecvx = Llu->nfrecvx; /* Number of X components to be recv'd. */
int_t nfrecvx_buf=0;
int_t *frecv; /* Count of lsum[lk] contributions to be received
from processes in this row.
It is only valid on the diagonal processes. */
int_t frecv_tmp;
int_t nfrecvmod = 0; /* Count of total modifications to be recv'd. */
int_t nfrecv = 0; /* Count of total messages to be recv'd. */
int_t nbrecv = 0; /* Count of total messages to be recv'd. */
int_t nleaf = 0, nroot = 0;
int_t nleaftmp = 0, nroottmp = 0;
int_t msgsize;
/*-- Counts used for U-solve --*/
int_t *bmod; /* Modification count for U-solve. */
int_t bmod_tmp;
int_t **bsendx_plist = Llu->bsendx_plist;
int_t nbrecvx = Llu->nbrecvx; /* Number of X components to be recv'd. */
int_t nbrecvx_buf=0;
int_t *brecv; /* Count of modifications to be recv'd from
processes in this row. */
int_t nbrecvmod = 0; /* Count of total modifications to be recv'd. */
int_t flagx,flaglsum,flag;
int_t *LBTree_active, *LRTree_active, *LBTree_finish, *LRTree_finish, *leafsups, *rootsups;
int_t TAG;
double t1_sol, t2_sol, t;
#if ( DEBUGlevel>=2 )
int_t Ublocks = 0;
#endif
int_t gik,iklrow,fnz;
int_t *mod_bit = Llu->mod_bit; /* flag contribution from each row block */
int INFO, pad;
int_t tmpresult;
// #if ( PROFlevel>=1 )
double t1, t2;
float msg_vol = 0, msg_cnt = 0;
// #endif
int_t msgcnt[4]; /* Count the size of the message xfer'd in each buffer:
* 0 : transferred in Lsub_buf[]
* 1 : transferred in Lval_buf[]
* 2 : transferred in Usub_buf[]
* 3 : transferred in Uval_buf[]
*/
int iword = sizeof (int_t);
int dword = sizeof (double);
int Nwork;
int_t procs = grid->nprow * grid->npcol;
yes_no_t done;
yes_no_t startforward;
int nbrow;
int_t ik, rel, idx_r, jb, nrbl, irow, pc,iknsupc;
int_t lptr1_tmp, idx_i, idx_v,m;
int_t ready;
static int thread_id;
yes_no_t empty;
int_t sizelsum,sizertemp,aln_d,aln_i;
aln_d = ceil(CACHELINE/(double)dword);
aln_i = ceil(CACHELINE/(double)iword);
int num_thread = 1;
maxsuper = sp_ienv_dist(3);
#ifdef _OPENMP
#pragma omp threadprivate(thread_id)
#endif
#ifdef _OPENMP
#pragma omp parallel default(shared)
{
if (omp_get_thread_num () == 0) {
num_thread = omp_get_num_threads ();
}
thread_id = omp_get_thread_num ();
}
#endif
#if ( PRNTlevel>=1 )
if( grid->iam==0 ) {
printf("num_thread: %5d\n", num_thread);
fflush(stdout);
}
#endif
MPI_Barrier( grid->comm );
t1_sol = SuperLU_timer_();
t = SuperLU_timer_();
/* Test input parameters. */
*info = 0;
if ( n < 0 ) *info = -1;
else if ( nrhs < 0 ) *info = -9;
if ( *info ) {
pxerr_dist("PDGSTRS", grid, -*info);
return;
}
/*
* Initialization.
*/
iam = grid->iam;
Pc = grid->npcol;
Pr = grid->nprow;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
xsup = Glu_persist->xsup;
supno = Glu_persist->supno;
nsupers = supno[n-1] + 1;
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
Linv_bc_ptr = Llu->Linv_bc_ptr;
Uinv_bc_ptr = Llu->Uinv_bc_ptr;
nlb = CEILING( nsupers, Pr ); /* Number of local block rows. */
stat->utime[SOL_COMM] = 0.0;
stat->utime[SOL_GEMM] = 0.0;
stat->utime[SOL_TRSM] = 0.0;
stat->utime[SOL_TOT] = 0.0;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter pdgstrs()");
#endif
stat->ops[SOLVE] = 0.0;
Llu->SolveMsgSent = 0;
/* Save the count to be altered so it can be used by
subsequent call to PDGSTRS. */
if ( !(fmod = intMalloc_dist(nlb*aln_i)) )
ABORT("Calloc fails for fmod[].");
for (i = 0; i < nlb; ++i) fmod[i*aln_i] = Llu->fmod[i];
if ( !(frecv = intCalloc_dist(nlb)) )
ABORT("Malloc fails for frecv[].");
Llu->frecv = frecv;
if ( !(leaf_send = intMalloc_dist((CEILING( nsupers, Pr )+CEILING( nsupers, Pc ))*aln_i)) )
ABORT("Malloc fails for leaf_send[].");
nleaf_send=0;
if ( !(root_send = intMalloc_dist((CEILING( nsupers, Pr )+CEILING( nsupers, Pc ))*aln_i)) )
ABORT("Malloc fails for root_send[].");
nroot_send=0;
#ifdef _CRAY
ftcs1 = _cptofcd("L", strlen("L"));
ftcs2 = _cptofcd("N", strlen("N"));
ftcs3 = _cptofcd("U", strlen("U"));
#endif
/* Obtain ilsum[] and ldalsum for process column 0. */
ilsum = Llu->ilsum;
ldalsum = Llu->ldalsum;
/* Allocate working storage. */
knsupc = sp_ienv_dist(3);
maxrecvsz = knsupc * nrhs + SUPERLU_MAX( XK_H, LSUM_H );
sizelsum = (((size_t)ldalsum)*nrhs + nlb*LSUM_H);
sizelsum = ((sizelsum + (aln_d - 1)) / aln_d) * aln_d;
#ifdef _OPENMP
if ( !(lsum = (double*)SUPERLU_MALLOC(sizelsum*num_thread * sizeof(double))))
ABORT("Malloc fails for lsum[].");
#pragma omp parallel default(shared) private(ii)
{
for (ii=0; ii<sizelsum; ii++)
lsum[thread_id*sizelsum+ii]=zero;
}
#else
if ( !(lsum = (double*)SUPERLU_MALLOC(sizelsum*num_thread * sizeof(double))))
ABORT("Malloc fails for lsum[].");
for ( ii=0; ii < sizelsum*num_thread; ii++ )
lsum[ii]=zero;
#endif
if ( !(x = (double*)SUPERLU_MALLOC((ldalsum * nrhs + nlb * XK_H) * sizeof(double))) )
ABORT("Calloc fails for x[].");
sizertemp=ldalsum * nrhs;
sizertemp = ((sizertemp + (aln_d - 1)) / aln_d) * aln_d;
#ifdef _OPENMP
if ( !(rtemp = (double*)SUPERLU_MALLOC(sizertemp*num_thread * sizeof(double))) )
ABORT("Malloc fails for rtemp[].");
#pragma omp parallel default(shared) private(ii)
{
for ( ii=0; ii<sizertemp; ii++ )
rtemp[thread_id*sizertemp+ii]=zero;
}
#else
if ( !(rtemp = (double*)SUPERLU_MALLOC(sizertemp*num_thread * sizeof(double))) )
ABORT("Malloc fails for rtemp[].");
for ( ii=0; ii<sizertemp*num_thread; ii++ )
rtemp[ii]=zero;
#endif
if ( !(stat_loc = (SuperLUStat_t**) SUPERLU_MALLOC(num_thread*sizeof(SuperLUStat_t*))) )
ABORT("Malloc fails for stat_loc[].");
for ( i=0; i<num_thread; i++) {
stat_loc[i] = (SuperLUStat_t*)SUPERLU_MALLOC(sizeof(SuperLUStat_t));
PStatInit(stat_loc[i]);
}
/* Dump the L factor using matlab triple-let format. */
//dDumpLblocks(iam, nsupers, grid, Glu_persist, Llu);