int_t pdgstrf
/************************************************************************/
(
superlu_options_t *options, int m, int n, double anorm,
LUstruct_t *LUstruct, gridinfo_t *grid, SuperLUStat_t *stat, int *info
)
/*
* Purpose
* =======
*
* PDGSTRF performs the LU factorization in parallel.
*
* Arguments
* =========
*
* options (input) superlu_options_t*
* The structure defines the input parameters to control
* how the LU decomposition will be performed.
* The following field should be defined:
* o ReplaceTinyPivot (yes_no_t)
* Specifies whether to replace the tiny diagonals by
* sqrt(epsilon)*norm(A) during LU factorization.
*
* m (input) int
* Number of rows in the matrix.
*
* n (input) int
* Number of columns in the matrix.
*
* anorm (input) double
* The norm of the original matrix A, or the scaled A if
* equilibration was done.
*
* LUstruct (input/output) LUstruct_t*
* The data structures to store the distributed L and U factors.
* The following fields should be defined:
*
* o Glu_persist (input) Glu_persist_t*
* Global data structure (xsup, supno) replicated on all processes,
* describing the supernode partition in the factored matrices
* L and U:
* xsup[s] is the leading column of the s-th supernode,
* supno[i] is the supernode number to which column i belongs.
*
* o Llu (input/output) LocalLU_t*
* The distributed data structures to store L and U factors.
* See superlu_ddefs.h for the definition of 'LocalLU_t'.
*
* 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_ddefs.h for the definition of 'gridinfo_t'.
*
* stat (output) SuperLUStat_t*
* Record the statistics on runtime and floating-point operation count.
* 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
* > 0: if info = i, U(i,i) is exactly zero. The factorization has
* been completed, but the factor U is exactly singular,
* and division by zero will occur if it is used to solve a
* system of equations.
*
*/
{
#ifdef _CRAY
_fcd ftcs = _cptofcd("N", strlen("N"));
_fcd ftcs1 = _cptofcd("L", strlen("L"));
_fcd ftcs2 = _cptofcd("N", strlen("N"));
_fcd ftcs3 = _cptofcd("U", strlen("U"));
#endif
double alpha = 1.0, beta = 0.0;
int_t *xsup;
int_t *lsub, *lsub1, *usub, *Usub_buf,
*Lsub_buf_2[2]; /* Need 2 buffers to implement Irecv. */
double *lusup, *lusup1, *uval, *Uval_buf,
*Lval_buf_2[2]; /* Need 2 buffers to implement Irecv. */
int_t fnz, i, ib, ijb, ilst, it, iukp, jb, jj, klst, knsupc,
lb, lib, ldv, ljb, lptr, lptr0, lptrj, luptr, luptr0, luptrj,
nlb, nub, nsupc, rel, rukp;
int_t Pc, Pr;
int iam, kcol, krow, mycol, myrow, pi, pj;
int j, k, lk, nsupers;
int nsupr, nbrow, segsize;
int 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_t msg0, msg2;
int_t **Ufstnz_br_ptr, **Lrowind_bc_ptr;
double **Unzval_br_ptr, **Lnzval_bc_ptr;
int_t *index;
double *nzval;
int_t *iuip, *ruip;/* Pointers to U index/nzval; size ceil(NSUPERS/Pr). */
double *ucol;
int_t *indirect;
double *tempv, *tempv2d;
int_t iinfo;
int_t *ToRecv, *ToSendD, **ToSendR;
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
superlu_scope_t *scp;
float s_eps;
double thresh;
double *tempU2d, *tempu;
int full, ldt, ldu, lead_zero, ncols;
MPI_Request recv_req[4], *send_req, *U_diag_blk_send_req = NULL;
MPI_Status status;
#if ( DEBUGlevel>=2 )
int_t num_copy=0, num_update=0;
#endif
#if ( PRNTlevel==3 )
int_t zero_msg = 0, total_msg = 0;
#endif
#if ( PROFlevel>=1 )
double t1, t2;
float msg_vol = 0, msg_cnt = 0;
int_t iword = sizeof(int_t), dword = sizeof(double);
#endif
/* Test the input parameters. */
*info = 0;
if ( m < 0 ) *info = -2;
else if ( n < 0 ) *info = -3;
if ( *info ) {
pxerbla("pdgstrf", grid, -*info);
return (-1);
}
/* Quick return if possible. */
if ( m == 0 || n == 0 ) return 0;
/*
* Initialization.
*/
iam = grid->iam;
Pc = grid->npcol;
Pr = grid->nprow;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
nsupers = Glu_persist->supno[n-1] + 1;
xsup = Glu_persist->xsup;
s_eps = slamch_("Epsilon");
thresh = s_eps * anorm;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter pdgstrf()");
#endif
stat->ops[FACT] = 0.0;
if ( Pr*Pc > 1 ) {
i = Llu->bufmax[0];
if ( !(Llu->Lsub_buf_2[0] = intMalloc_dist(2 * ((size_t)i))) )
ABORT("Malloc fails for Lsub_buf.");
Llu->Lsub_buf_2[1] = Llu->Lsub_buf_2[0] + i;
i = Llu->bufmax[1];
if ( !(Llu->Lval_buf_2[0] = doubleMalloc_dist(2 * ((size_t)i))) )
ABORT("Malloc fails for Lval_buf[].");
Llu->Lval_buf_2[1] = Llu->Lval_buf_2[0] + i;
if ( Llu->bufmax[2] != 0 )
if ( !(Llu->Usub_buf = intMalloc_dist(Llu->bufmax[2])) )
ABORT("Malloc fails for Usub_buf[].");
if ( Llu->bufmax[3] != 0 )
if ( !(Llu->Uval_buf = doubleMalloc_dist(Llu->bufmax[3])) )
ABORT("Malloc fails for Uval_buf[].");
if ( !(U_diag_blk_send_req =
(MPI_Request *) SUPERLU_MALLOC(Pr*sizeof(MPI_Request))))
ABORT("Malloc fails for U_diag_blk_send_req[].");
U_diag_blk_send_req[myrow] = 0; /* flag no outstanding Isend */
if ( !(send_req =
(MPI_Request *) SUPERLU_MALLOC(2*Pc*sizeof(MPI_Request))))
ABORT("Malloc fails for send_req[].");
}
k = sp_ienv_dist(3); /* max supernode size */
if ( !(Llu->ujrow = doubleMalloc_dist(k*(k+1)/2)) )
ABORT("Malloc fails for ujrow[].");
#if ( PRNTlevel>=1 )
if ( !iam ) {
printf(".. thresh = s_eps %e * anorm %e = %e\n", s_eps, anorm, thresh);
printf(".. Buffer size: Lsub %d\tLval %d\tUsub %d\tUval %d\tLDA %d\n",
Llu->bufmax[0], Llu->bufmax[1],
Llu->bufmax[2], Llu->bufmax[3], Llu->bufmax[4]);
}
#endif
Lsub_buf_2[0] = Llu->Lsub_buf_2[0];
Lsub_buf_2[1] = Llu->Lsub_buf_2[1];
Lval_buf_2[0] = Llu->Lval_buf_2[0];
Lval_buf_2[1] = Llu->Lval_buf_2[1];
Usub_buf = Llu->Usub_buf;
Uval_buf = Llu->Uval_buf;
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
Unzval_br_ptr = Llu->Unzval_br_ptr;
ToRecv = Llu->ToRecv;
ToSendD = Llu->ToSendD;
ToSendR = Llu->ToSendR;
ldt = sp_ienv_dist(3); /* Size of maximum supernode */
if ( !(tempv2d = doubleCalloc_dist(2*((size_t)ldt)*ldt)) )
ABORT("Calloc fails for tempv2d[].");
tempU2d = tempv2d + ldt*ldt;
if ( !(indirect = intMalloc_dist(ldt)) )
ABORT("Malloc fails for indirect[].");
k = CEILING( nsupers, Pr ); /* Number of local block rows */
if ( !(iuip = intMalloc_dist(k)) )
ABORT("Malloc fails for iuip[].");
if ( !(ruip = intMalloc_dist(k)) )
ABORT("Malloc fails for ruip[].");
#if ( VAMPIR>=1 )
VT_symdef(1, "Send-L", "Comm");
VT_symdef(2, "Recv-L", "Comm");
VT_symdef(3, "Send-U", "Comm");
VT_symdef(4, "Recv-U", "Comm");
VT_symdef(5, "TRF2", "Factor");
VT_symdef(100, "Factor", "Factor");
VT_begin(100);
VT_traceon();
#endif
/* ---------------------------------------------------------------
Handle the first block column separately to start the pipeline.
--------------------------------------------------------------- */
if ( mycol == 0 ) {
#if ( VAMPIR>=1 )
VT_begin(5);
#endif
pdgstrf2(options, 0, thresh, Glu_persist, grid, Llu,
U_diag_blk_send_req, stat, info);
#if ( VAMPIR>=1 )
VT_end(5);
#endif
scp = &grid->rscp; /* The scope of process row. */
/* Process column *kcol* multicasts numeric values of L(:,k)
to process rows. */
lsub = Lrowind_bc_ptr[0];
lusup = Lnzval_bc_ptr[0];
if ( lsub ) {
msgcnt[0] = lsub[1] + BC_HEADER + lsub[0]*LB_DESCRIPTOR;
msgcnt[1] = lsub[1] * SuperSize( 0 );
} else {
msgcnt[0] = msgcnt[1] = 0;
}
for (pj = 0; pj < Pc; ++pj) {
if ( ToSendR[0][pj] != EMPTY ) {
#if ( PROFlevel>=1 )
TIC(t1);
#endif
#if ( VAMPIR>=1 )
VT_begin(1);
#endif
MPI_Isend( lsub, msgcnt[0], mpi_int_t, pj, 0, scp->comm,
&send_req[pj] );
MPI_Isend( lusup, msgcnt[1], MPI_DOUBLE, pj, 1, scp->comm,
&send_req[pj+Pc] );
#if ( DEBUGlevel>=2 )
printf("(%d) Send L(:,%4d): lsub %4d, lusup %4d to Pc %2d\n",
iam, 0, msgcnt[0], msgcnt[1], pj);
#endif
#if ( VAMPIR>=1 )
VT_end(1);
#endif
#if ( PROFlevel>=1 )
TOC(t2, t1);
stat->utime[COMM] += t2;
msg_cnt += 2;
msg_vol += msgcnt[0]*iword + msgcnt[1]*dword;
#endif
}
} /* for pj ... */
} else { /* Post immediate receives. */
if ( ToRecv[0] >= 1 ) { /* Recv block column L(:,0). */
scp = &grid->rscp; /* The scope of process row. */
MPI_Irecv( Lsub_buf_2[0], Llu->bufmax[0], mpi_int_t, 0,
0, scp->comm, &recv_req[0] );
MPI_Irecv( Lval_buf_2[0], Llu->bufmax[1], MPI_DOUBLE, 0,
1, scp->comm, &recv_req[1] );
#if ( DEBUGlevel>=2 )
printf("(%d) Post Irecv L(:,%4d)\n", iam, 0);
#endif
}
} /* if mycol == 0 */
/* ------------------------------------------
MAIN LOOP: Loop through all block columns.
------------------------------------------ */
for (k = 0; k < nsupers; ++k) {
knsupc = SuperSize( k );
krow = PROW( k, grid );
kcol = PCOL( k, grid );
if ( mycol == kcol ) {
lk = LBj( k, grid ); /* Local block number. */
for (pj = 0; pj < Pc; ++pj) {
/* Wait for Isend to complete before using lsub/lusup. */
if ( ToSendR[lk][pj] != EMPTY ) {
MPI_Wait( &send_req[pj], &status );
MPI_Wait( &send_req[pj+Pc], &status );
}
}
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
} else {
if ( ToRecv[k] >= 1 ) { /* Recv block column L(:,k). */
scp = &grid->rscp; /* The scope of process row. */
#if ( PROFlevel>=1 )
TIC(t1);
#endif
#if ( VAMPIR>=1 )
VT_begin(2);
#endif
/*probe_recv(iam, kcol, (4*k)%NTAGS, mpi_int_t, scp->comm,
Llu->bufmax[0]);*/
/*MPI_Recv( Lsub_buf, Llu->bufmax[0], mpi_int_t, kcol,
(4*k)%NTAGS, scp->comm, &status );*/
MPI_Wait( &recv_req[0], &status );
MPI_Get_count( &status, mpi_int_t, &msgcnt[0] );
/*probe_recv(iam, kcol, (4*k+1)%NTAGS, MPI_DOUBLE, scp->comm,
Llu->bufmax[1]);*/
/*MPI_Recv( Lval_buf, Llu->bufmax[1], MPI_DOUBLE, kcol,
(4*k+1)%NTAGS, scp->comm, &status );*/
MPI_Wait( &recv_req[1], &status );
MPI_Get_count( &status, MPI_DOUBLE, &msgcnt[1] );
#if ( VAMPIR>=1 )
VT_end(2);
#endif
#if ( PROFlevel>=1 )
TOC(t2, t1);
stat->utime[COMM] += t2;
#endif
#if ( DEBUGlevel>=2 )
printf("(%d) Recv L(:,%4d): lsub %4d, lusup %4d from Pc %2d\n",
iam, k, msgcnt[0], msgcnt[1], kcol);
fflush(stdout);
#endif
lsub = Lsub_buf_2[k%2];
lusup = Lval_buf_2[k%2];
#if ( PRNTlevel==3 )
++total_msg;
if ( !msgcnt[0] ) ++zero_msg;
#endif
} else msgcnt[0] = 0;
} /* if mycol = Pc(k) */
scp = &grid->cscp; /* The scope of process column. */
if ( myrow == krow ) {
/* Parallel triangular solve across process row *krow* --
U(k,j) = L(k,k) \ A(k,j). */
#ifdef _CRAY
pdgstrs2(n, k, Glu_persist, grid, Llu, stat, ftcs1, ftcs2, ftcs3);
#else
pdgstrs2(n, k, Glu_persist, grid, Llu, stat);
#endif
/* Multicasts U(k,:) to process columns. */
lk = LBi( k, grid );
usub = Ufstnz_br_ptr[lk];
uval = Unzval_br_ptr[lk];
if ( usub ) {
msgcnt[2] = usub[2];
msgcnt[3] = usub[1];
} else {
msgcnt[2] = msgcnt[3] = 0;
}
if ( ToSendD[lk] == YES ) {
for (pi = 0; pi < Pr; ++pi) {
if ( pi != myrow ) {
#if ( PROFlevel>=1 )
TIC(t1);
#endif
#if ( VAMPIR>=1 )
VT_begin(3);
#endif
MPI_Send( usub, msgcnt[2], mpi_int_t, pi,
(4*k+2)%NTAGS, scp->comm);
MPI_Send( uval, msgcnt[3], MPI_DOUBLE, pi,
(4*k+3)%NTAGS, scp->comm);
#if ( VAMPIR>=1 )
VT_end(3);
#endif
#if ( PROFlevel>=1 )
TOC(t2, t1);
stat->utime[COMM] += t2;
msg_cnt += 2;
msg_vol += msgcnt[2]*iword + msgcnt[3]*dword;
#endif
#if ( DEBUGlevel>=2 )
printf("(%d) Send U(%4d,:) to Pr %2d\n", iam, k, pi);
#endif
} /* if pi ... */
} /* for pi ... */
} /* if ToSendD ... */
} else { /* myrow != krow */
if ( ToRecv[k] == 2 ) { /* Recv block row U(k,:). */
#if ( PROFlevel>=1 )
TIC(t1);
#endif
#if ( VAMPIR>=1 )
VT_begin(4);
#endif
/*probe_recv(iam, krow, (4*k+2)%NTAGS, mpi_int_t, scp->comm,
Llu->bufmax[2]);*/
MPI_Recv( Usub_buf, Llu->bufmax[2], mpi_int_t, krow,
(4*k+2)%NTAGS, scp->comm, &status );
MPI_Get_count( &status, mpi_int_t, &msgcnt[2] );
/*probe_recv(iam, krow, (4*k+3)%NTAGS, MPI_DOUBLE, scp->comm,
Llu->bufmax[3]);*/
MPI_Recv( Uval_buf, Llu->bufmax[3], MPI_DOUBLE, krow,
(4*k+3)%NTAGS, scp->comm, &status );
MPI_Get_count( &status, MPI_DOUBLE, &msgcnt[3] );
#if ( VAMPIR>=1 )
VT_end(4);
#endif
#if ( PROFlevel>=1 )
TOC(t2, t1);
stat->utime[COMM] += t2;
#endif
usub = Usub_buf;
uval = Uval_buf;
#if ( DEBUGlevel>=2 )
printf("(%d) Recv U(%4d,:) from Pr %2d\n", iam, k, krow);
#endif
#if ( PRNTlevel==3 )
++total_msg;
if ( !msgcnt[2] ) ++zero_msg;
#endif
} else msgcnt[2] = 0;
} /* if myrow == Pr(k) */
/*
* Parallel rank-k update; pair up blocks L(i,k) and U(k,j).
* for (j = k+1; k < N; ++k) {
* for (i = k+1; i < N; ++i)
* if ( myrow == PROW( i, grid ) && mycol == PCOL( j, grid )
* && L(i,k) != 0 && U(k,j) != 0 )
* A(i,j) = A(i,j) - L(i,k) * U(k,j);
*/
msg0 = msgcnt[0];
msg2 = msgcnt[2];
if ( msg0 && msg2 ) { /* L(:,k) and U(k,:) are not empty. */
nsupr = lsub[1]; /* LDA of lusup. */
if ( myrow == krow ) { /* Skip diagonal block L(k,k). */
lptr0 = BC_HEADER + LB_DESCRIPTOR + lsub[BC_HEADER+1];
luptr0 = knsupc;
nlb = lsub[0] - 1;
} else {
lptr0 = BC_HEADER;
luptr0 = 0;
nlb = lsub[0];
}
lptr = lptr0;
for (lb = 0; lb < nlb; ++lb) { /* Initialize block row pointers. */
ib = lsub[lptr];
lib = LBi( ib, grid );
iuip[lib] = BR_HEADER;
ruip[lib] = 0;
lptr += LB_DESCRIPTOR + lsub[lptr+1];
}
nub = usub[0]; /* Number of blocks in the block row U(k,:) */
iukp = BR_HEADER; /* Skip header; Pointer to index[] of U(k,:) */
rukp = 0; /* Pointer to nzval[] of U(k,:) */
klst = FstBlockC( k+1 );
/* ---------------------------------------------------
Update the first block column A(:,k+1).
--------------------------------------------------- */
jb = usub[iukp]; /* Global block number of block U(k,j). */
if ( jb == k+1 ) { /* First update (k+1)-th block. */
--nub;
lptr = lptr0;
luptr = luptr0;
ljb = LBj( jb, grid ); /* Local block number of U(k,j). */
nsupc = SuperSize( jb );
iukp += UB_DESCRIPTOR; /* Start fstnz of block U(k,j). */
/* Prepare to call DGEMM. */
jj = iukp;
while ( usub[jj] == klst ) ++jj;
ldu = klst - usub[jj++];
ncols = 1;
full = 1;
for (; jj < iukp+nsupc; ++jj) {
segsize = klst - usub[jj];
if ( segsize ) {
++ncols;
if ( segsize != ldu ) full = 0;
if ( segsize > ldu ) ldu = segsize;
}
}
#if ( DEBUGlevel>=3 )
++num_update;
#endif
if ( full ) {
tempu = &uval[rukp];
} else { /* Copy block U(k,j) into tempU2d. */
#if ( DEBUGlevel>=3 )
printf("(%d) full=%d,k=%d,jb=%d,ldu=%d,ncols=%d,nsupc=%d\n",
iam, full, k, jb, ldu, ncols, nsupc);
++num_copy;
#endif
tempu = tempU2d;
for (jj = iukp; jj < iukp+nsupc; ++jj) {
segsize = klst - usub[jj];
if ( segsize ) {
lead_zero = ldu - segsize;
for (i = 0; i < lead_zero; ++i) tempu[i] = 0.0;
tempu += lead_zero;
for (i = 0; i < segsize; ++i)
tempu[i] = uval[rukp+i];
rukp += segsize;
tempu += segsize;
}
}
tempu = tempU2d;
rukp -= usub[iukp - 1]; /* Return to start of U(k,j). */
} /* if full ... */
for (lb = 0; lb < nlb; ++lb) {
ib = lsub[lptr]; /* Row block L(i,k). */
nbrow = lsub[lptr+1]; /* Number of full rows. */
lptr += LB_DESCRIPTOR; /* Skip descriptor. */
tempv = tempv2d;
#ifdef _CRAY
SGEMM(ftcs, ftcs, &nbrow, &ncols, &ldu, &alpha,
&lusup[luptr+(knsupc-ldu)*nsupr], &nsupr,
tempu, &ldu, &beta, tempv, &ldt);
#elif defined (USE_VENDOR_BLAS)
dgemm_("N", "N", &nbrow, &ncols, &ldu, &alpha,
&lusup[luptr+(knsupc-ldu)*nsupr], &nsupr,
tempu, &ldu, &beta, tempv, &ldt, 1, 1);
#else
dgemm_("N", "N", &nbrow, &ncols, &ldu, &alpha,
&lusup[luptr+(knsupc-ldu)*nsupr], &nsupr,
tempu, &ldu, &beta, tempv, &ldt);
#endif
stat->ops[FACT] += 2 * nbrow * ldu * ncols;
/* Now gather the result into the destination block. */
if ( ib < jb ) { /* A(i,j) is in U. */
ilst = FstBlockC( ib+1 );
lib = LBi( ib, grid );
index = Ufstnz_br_ptr[lib];
ijb = index[iuip[lib]];
while ( ijb < jb ) { /* Search for dest block. */
ruip[lib] += index[iuip[lib]+1];
iuip[lib] += UB_DESCRIPTOR + SuperSize( ijb );
ijb = index[iuip[lib]];
}
iuip[lib] += UB_DESCRIPTOR; /* Skip descriptor. */
tempv = tempv2d;
for (jj = 0; jj < nsupc; ++jj) {
segsize = klst - usub[iukp + jj];
fnz = index[iuip[lib]++];
if ( segsize ) { /* Nonzero segment in U(k.j). */
ucol = &Unzval_br_ptr[lib][ruip[lib]];
for (i = 0, it = 0; i < nbrow; ++i) {
rel = lsub[lptr + i] - fnz;
ucol[rel] -= tempv[it++];
}
tempv += ldt;
}
ruip[lib] += ilst - fnz;
}
} else { /* A(i,j) is in L. */
index = Lrowind_bc_ptr[ljb];
ldv = index[1]; /* LDA of the dest lusup. */
lptrj = BC_HEADER;
luptrj = 0;
ijb = index[lptrj];
while ( ijb != ib ) { /* Search for dest block --
blocks are not ordered! */
luptrj += index[lptrj+1];
lptrj += LB_DESCRIPTOR + index[lptrj+1];
ijb = index[lptrj];
}
/*
* Build indirect table. This is needed because the
* indices are not sorted.
*/
fnz = FstBlockC( ib );
lptrj += LB_DESCRIPTOR;
for (i = 0; i < index[lptrj-1]; ++i) {
rel = index[lptrj + i] - fnz;
indirect[rel] = i;
}
nzval = Lnzval_bc_ptr[ljb] + luptrj;
tempv = tempv2d;
for (jj = 0; jj < nsupc; ++jj) {
segsize = klst - usub[iukp + jj];
if ( segsize ) {
/*#pragma _CRI cache_bypass nzval,tempv*/
for (it = 0, i = 0; i < nbrow; ++i) {
rel = lsub[lptr + i] - fnz;
nzval[indirect[rel]] -= tempv[it++];
}
tempv += ldt;
}
nzval += ldv;
}
} /* if ib < jb ... */
lptr += nbrow;
luptr += nbrow;
} /* for lb ... */
rukp += usub[iukp - 1]; /* Move to block U(k,j+1) */
iukp += nsupc;
} /* if jb == k+1 */
} /* if L(:,k) and U(k,:) not empty */
if ( k+1 < nsupers ) {
kcol = PCOL( k+1, grid );
if ( mycol == kcol ) {
#if ( VAMPIR>=1 )
VT_begin(5);
#endif
/* Factor diagonal and subdiagonal blocks and test for exact
singularity. */
pdgstrf2(options, k+1, thresh, Glu_persist, grid, Llu,
U_diag_blk_send_req, stat, info);
#if ( VAMPIR>=1 )
VT_end(5);
#endif
/* Process column *kcol+1* multicasts numeric values of L(:,k+1)
to process rows. */
lk = LBj( k+1, grid ); /* Local block number. */
lsub1 = Lrowind_bc_ptr[lk];
if ( lsub1 ) {
msgcnt[0] = lsub1[1] + BC_HEADER + lsub1[0]*LB_DESCRIPTOR;
msgcnt[1] = lsub1[1] * SuperSize( k+1 );
} else {
msgcnt[0] = 0;
msgcnt[1] = 0;
}
scp = &grid->rscp; /* The scope of process row. */
for (pj = 0; pj < Pc; ++pj) {
if ( ToSendR[lk][pj] != EMPTY ) {
lusup1 = Lnzval_bc_ptr[lk];
#if ( PROFlevel>=1 )
TIC(t1);
#endif
#if ( VAMPIR>=1 )
VT_begin(1);
#endif
MPI_Isend( lsub1, msgcnt[0], mpi_int_t, pj,
(4*(k+1))%NTAGS, scp->comm, &send_req[pj] );
MPI_Isend( lusup1, msgcnt[1], MPI_DOUBLE, pj,
(4*(k+1)+1)%NTAGS, scp->comm, &send_req[pj+Pc] );
#if ( VAMPIR>=1 )
VT_end(1);
#endif
#if ( PROFlevel>=1 )
TOC(t2, t1);
stat->utime[COMM] += t2;
msg_cnt += 2;
msg_vol += msgcnt[0]*iword + msgcnt[1]*dword;
#endif
#if ( DEBUGlevel>=2 )
printf("(%d) Send L(:,%4d): lsub %4d, lusup %4d to Pc %2d\n",
iam, k+1, msgcnt[0], msgcnt[1], pj);
#endif
}
} /* for pj ... */
} else { /* Post Recv of block column L(:,k+1). */
if ( ToRecv[k+1] >= 1 ) {
scp = &grid->rscp; /* The scope of process row. */
MPI_Irecv(Lsub_buf_2[(k+1)%2], Llu->bufmax[0], mpi_int_t, kcol,
(4*(k+1))%NTAGS, scp->comm, &recv_req[0]);
MPI_Irecv(Lval_buf_2[(k+1)%2], Llu->bufmax[1], MPI_DOUBLE, kcol,
(4*(k+1)+1)%NTAGS, scp->comm, &recv_req[1]);
#if ( DEBUGlevel>=2 )
printf("(%d) Post Irecv L(:,%4d)\n", iam, k+1);
#endif
}
} /* if mycol == Pc(k+1) */
} /* if k+1 < nsupers */
if ( msg0 && msg2 ) { /* L(:,k) and U(k,:) are not empty. */
/* ---------------------------------------------------
Update all other blocks using block row U(k,:)
--------------------------------------------------- */
for (j = 0; j < nub; ++j) {
lptr = lptr0;
luptr = luptr0;
jb = usub[iukp]; /* Global block number of block U(k,j). */
ljb = LBj( jb, grid ); /* Local block number of U(k,j). */
nsupc = SuperSize( jb );
iukp += UB_DESCRIPTOR; /* Start fstnz of block U(k,j). */
/* Prepare to call DGEMM. */
jj = iukp;
while ( usub[jj] == klst ) ++jj;
ldu = klst - usub[jj++];
ncols = 1;
full = 1;
for (; jj < iukp+nsupc; ++jj) {
segsize = klst - usub[jj];
if ( segsize ) {
++ncols;
if ( segsize != ldu ) full = 0;
if ( segsize > ldu ) ldu = segsize;
}
}
#if ( DEBUGlevel>=3 )
printf("(%d) full=%d,k=%d,jb=%d,ldu=%d,ncols=%d,nsupc=%d\n",
iam, full, k, jb, ldu, ncols, nsupc);
++num_update;
#endif
if ( full ) {
tempu = &uval[rukp];
} else { /* Copy block U(k,j) into tempU2d. */
#if ( DEBUGlevel>=3 )
++num_copy;
#endif
tempu = tempU2d;
for (jj = iukp; jj < iukp+nsupc; ++jj) {
segsize = klst - usub[jj];
if ( segsize ) {
lead_zero = ldu - segsize;
for (i = 0; i < lead_zero; ++i) tempu[i] = 0.0;
tempu += lead_zero;
for (i = 0; i < segsize; ++i)
tempu[i] = uval[rukp+i];
rukp += segsize;
tempu += segsize;
}
}
tempu = tempU2d;
rukp -= usub[iukp - 1]; /* Return to start of U(k,j). */
} /* if full ... */
for (lb = 0; lb < nlb; ++lb) {
ib = lsub[lptr]; /* Row block L(i,k). */
nbrow = lsub[lptr+1]; /* Number of full rows. */
lptr += LB_DESCRIPTOR; /* Skip descriptor. */
tempv = tempv2d;
#ifdef _CRAY
SGEMM(ftcs, ftcs, &nbrow, &ncols, &ldu, &alpha,
&lusup[luptr+(knsupc-ldu)*nsupr], &nsupr,
tempu, &ldu, &beta, tempv, &ldt);
#elif defined (USE_VENDOR_BLAS)
dgemm_("N", "N", &nbrow, &ncols, &ldu, &alpha,
&lusup[luptr+(knsupc-ldu)*nsupr], &nsupr,
tempu, &ldu, &beta, tempv, &ldt, 1, 1);
#else
dgemm_("N", "N", &nbrow, &ncols, &ldu, &alpha,
&lusup[luptr+(knsupc-ldu)*nsupr], &nsupr,
tempu, &ldu, &beta, tempv, &ldt);
#endif
stat->ops[FACT] += 2 * nbrow * ldu * ncols;
/* Now gather the result into the destination block. */
if ( ib < jb ) { /* A(i,j) is in U. */
ilst = FstBlockC( ib+1 );
lib = LBi( ib, grid );
index = Ufstnz_br_ptr[lib];
ijb = index[iuip[lib]];
while ( ijb < jb ) { /* Search for dest block. */
ruip[lib] += index[iuip[lib]+1];
iuip[lib] += UB_DESCRIPTOR + SuperSize( ijb );
ijb = index[iuip[lib]];
}
/* Skip descriptor. Now point to fstnz index of
block U(i,j). */
iuip[lib] += UB_DESCRIPTOR;
tempv = tempv2d;
for (jj = 0; jj < nsupc; ++jj) {
segsize = klst - usub[iukp + jj];
fnz = index[iuip[lib]++];
if ( segsize ) { /* Nonzero segment in U(k.j). */
ucol = &Unzval_br_ptr[lib][ruip[lib]];
for (i = 0 ; i < nbrow; ++i) {
rel = lsub[lptr + i] - fnz;
ucol[rel] -= tempv[i];
}
tempv += ldt;
}
ruip[lib] += ilst - fnz;
}
} else { /* A(i,j) is in L. */
index = Lrowind_bc_ptr[ljb];
ldv = index[1]; /* LDA of the dest lusup. */
lptrj = BC_HEADER;
luptrj = 0;
ijb = index[lptrj];
while ( ijb != ib ) { /* Search for dest block --
blocks are not ordered! */
luptrj += index[lptrj+1];
lptrj += LB_DESCRIPTOR + index[lptrj+1];
ijb = index[lptrj];
}
/*
* Build indirect table. This is needed because the
* indices are not sorted for the L blocks.
*/
fnz = FstBlockC( ib );
lptrj += LB_DESCRIPTOR;
for (i = 0; i < index[lptrj-1]; ++i) {
rel = index[lptrj + i] - fnz;
indirect[rel] = i;
}
nzval = Lnzval_bc_ptr[ljb] + luptrj;
tempv = tempv2d;
for (jj = 0; jj < nsupc; ++jj) {
segsize = klst - usub[iukp + jj];
if ( segsize ) {
/*#pragma _CRI cache_bypass nzval,tempv*/
for (i = 0; i < nbrow; ++i) {
rel = lsub[lptr + i] - fnz;
nzval[indirect[rel]] -= tempv[i];
}
tempv += ldt;
}
nzval += ldv;
}
} /* if ib < jb ... */
lptr += nbrow;
luptr += nbrow;
} /* for lb ... */
rukp += usub[iukp - 1]; /* Move to block U(k,j+1) */
iukp += nsupc;
} /* for j ... */
} /* if k L(:,k) and U(k,:) are not empty */
}
/* ------------------------------------------
END MAIN LOOP: for k = ...
------------------------------------------ */
#if ( VAMPIR>=1 )
VT_end(100);
VT_traceoff();
#endif
if ( Pr*Pc > 1 ) {
SUPERLU_FREE(Lsub_buf_2[0]); /* also free Lsub_buf_2[1] */
SUPERLU_FREE(Lval_buf_2[0]); /* also free Lval_buf_2[1] */
if ( Llu->bufmax[2] != 0 ) SUPERLU_FREE(Usub_buf);
if ( Llu->bufmax[3] != 0 ) SUPERLU_FREE(Uval_buf);
SUPERLU_FREE(send_req);
if ( U_diag_blk_send_req[myrow] ) {
/* wait for last Isend requests to complete, deallocate objects */
for (krow = 0; krow < Pr; ++krow)
if ( krow != myrow )
MPI_Wait(U_diag_blk_send_req + krow, &status);
}
SUPERLU_FREE(U_diag_blk_send_req);
}
SUPERLU_FREE(Llu->ujrow);
SUPERLU_FREE(tempv2d);
SUPERLU_FREE(indirect);
SUPERLU_FREE(iuip);
SUPERLU_FREE(ruip);
/* Prepare error message. */
if ( *info == 0 ) *info = n + 1;
#if ( PROFlevel>=1 )
TIC(t1);
#endif
MPI_Allreduce( info, &iinfo, 1, mpi_int_t, MPI_MIN, grid->comm );
#if ( PROFlevel>=1 )
TOC(t2, t1);
stat->utime[COMM] += t2;
{
float msg_vol_max, msg_vol_sum, msg_cnt_max, msg_cnt_sum;
MPI_Reduce( &msg_cnt, &msg_cnt_sum,
1, MPI_FLOAT, MPI_SUM, 0, grid->comm );
MPI_Reduce( &msg_cnt, &msg_cnt_max,
1, MPI_FLOAT, MPI_MAX, 0, grid->comm );
MPI_Reduce( &msg_vol, &msg_vol_sum,
1, MPI_FLOAT, MPI_SUM, 0, grid->comm );
MPI_Reduce( &msg_vol, &msg_vol_max,
1, MPI_FLOAT, MPI_MAX, 0, grid->comm );
if ( !iam ) {
printf("\tPDGSTRF comm stat:"
"\tAvg\tMax\t\tAvg\tMax\n"
"\t\t\tCount:\t%.0f\t%.0f\tVol(MB)\t%.2f\t%.2f\n",
msg_cnt_sum/Pr/Pc, msg_cnt_max,
msg_vol_sum/Pr/Pc*1e-6, msg_vol_max*1e-6);
}
}
#endif
if ( iinfo == n + 1 ) *info = 0;
else *info = iinfo;
#if ( PRNTlevel==3 )
MPI_Allreduce( &zero_msg, &iinfo, 1, mpi_int_t, MPI_SUM, grid->comm );
if ( !iam ) printf(".. # msg of zero size\t%d\n", iinfo);
MPI_Allreduce( &total_msg, &iinfo, 1, mpi_int_t, MPI_SUM, grid->comm );
if ( !iam ) printf(".. # total msg\t%d\n", iinfo);
#endif
#if ( DEBUGlevel>=2 )
for (i = 0; i < Pr * Pc; ++i) {
if ( iam == i ) {
dPrintLblocks(iam, nsupers, grid, Glu_persist, Llu);
dPrintUblocks(iam, nsupers, grid, Glu_persist, Llu);
printf("(%d)\n", iam);
PrintInt10("Recv", nsupers, Llu->ToRecv);
}
MPI_Barrier( grid->comm );
}
#endif
#if ( DEBUGlevel>=3 )
printf("(%d) num_copy=%d, num_update=%d\n", iam, num_copy, num_update);
#endif
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Exit pdgstrf()");
#endif
} /* PDGSTRF */
int
sp_dtrsv_dist(char *uplo, char *trans, char *diag, SuperMatrix *L,
SuperMatrix *U, double *x, int *info)
{
/*
* Purpose
* =======
*
* sp_dtrsv_dist() solves one of the systems of equations
* A*x = b, or A'*x = b,
* where b and x are n element vectors and A is a sparse unit , or
* non-unit, upper or lower triangular matrix.
* No test for singularity or near-singularity is included in this
* routine. Such tests must be performed before calling this routine.
*
* Parameters
* ==========
*
* uplo - (input) char*
* On entry, uplo specifies whether the matrix is an upper or
* lower triangular matrix as follows:
* uplo = 'U' or 'u' A is an upper triangular matrix.
* uplo = 'L' or 'l' A is a lower triangular matrix.
*
* trans - (input) char*
* On entry, trans specifies the equations to be solved as
* follows:
* trans = 'N' or 'n' A*x = b.
* trans = 'T' or 't' A'*x = b.
* trans = 'C' or 'c' A'*x = b.
*
* diag - (input) char*
* On entry, diag specifies whether or not A is unit
* triangular as follows:
* diag = 'U' or 'u' A is assumed to be unit triangular.
* diag = 'N' or 'n' A is not assumed to be unit
* triangular.
*
* L - (input) SuperMatrix*
* The factor L from the factorization Pr*A*Pc=L*U. Use
* compressed row subscripts storage for supernodes,
* i.e., L has types: Stype = SC, Dtype = D, Mtype = TRLU.
*
* U - (input) SuperMatrix*
* The factor U from the factorization Pr*A*Pc=L*U.
* U has types: Stype = NC, Dtype = D, Mtype = TRU.
*
* x - (input/output) double*
* Before entry, the incremented array X must contain the n
* element right-hand side vector b. On exit, X is overwritten
* with the solution vector x.
*
* info - (output) int*
* If *info = -i, the i-th argument had an illegal value.
*
*/
#ifdef _CRAY
_fcd ftcs1, ftcs2, ftcs3;
#endif
SCformat *Lstore;
NCformat *Ustore;
double *Lval, *Uval;
int incx = 1, incy = 1;
double alpha = 1.0, beta = 1.0;
int nrow;
int fsupc, nsupr, nsupc, luptr, istart, irow;
int i, k, iptr, jcol;
double *work;
flops_t solve_ops;
extern SuperLUStat_t SuperLUStat;
/* Test the input parameters */
*info = 0;
if ( !lsame_(uplo,"L") && !lsame_(uplo, "U") ) *info = -1;
else if ( !lsame_(trans, "N") && !lsame_(trans, "T") ) *info = -2;
else if ( !lsame_(diag, "U") && !lsame_(diag, "N") ) *info = -3;
else if ( L->nrow != L->ncol || L->nrow < 0 ) *info = -4;
else if ( U->nrow != U->ncol || U->nrow < 0 ) *info = -5;
if ( *info ) {
i = -(*info);
xerbla_("sp_dtrsv_dist", &i);
return 0;
}
Lstore = L->Store;
Lval = Lstore->nzval;
Ustore = U->Store;
Uval = Ustore->nzval;
solve_ops = 0;
if ( !(work = doubleCalloc_dist(L->nrow)) )
ABORT("Malloc fails for work in sp_dtrsv_dist().");
if ( lsame_(trans, "N") ) { /* Form x := inv(A)*x. */
if ( lsame_(uplo, "L") ) {
/* Form x := inv(L)*x */
if ( L->nrow == 0 ) return 0; /* Quick return */
for (k = 0; k <= Lstore->nsuper; k++) {
fsupc = L_FST_SUPC(k);
istart = L_SUB_START(fsupc);
nsupr = L_SUB_START(fsupc+1) - istart;
nsupc = L_FST_SUPC(k+1) - fsupc;
luptr = L_NZ_START(fsupc);
nrow = nsupr - nsupc;
solve_ops += nsupc * (nsupc - 1);
solve_ops += 2 * nrow * nsupc;
if ( nsupc == 1 ) {
for (iptr=istart+1; iptr < L_SUB_START(fsupc+1); ++iptr) {
irow = L_SUB(iptr);
++luptr;
x[irow] -= x[fsupc] * Lval[luptr];
}
} else {
#ifdef USE_VENDOR_BLAS
#ifdef _CRAY
ftcs1 = _cptofcd("L", strlen("L"));
ftcs2 = _cptofcd("N", strlen("N"));
ftcs3 = _cptofcd("U", strlen("U"));
STRSV(ftcs1, ftcs2, ftcs3, &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
SGEMV(ftcs2, &nrow, &nsupc, &alpha, &Lval[luptr+nsupc],
&nsupr, &x[fsupc], &incx, &beta, &work[0], &incy);
#else
dtrsv_("L", "N", "U", &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
dgemv_("N", &nrow, &nsupc, &alpha, &Lval[luptr+nsupc],
&nsupr, &x[fsupc], &incx, &beta, &work[0], &incy);
#endif /* _CRAY */
#else
dlsolve ( nsupr, nsupc, &Lval[luptr], &x[fsupc]);
dmatvec ( nsupr, nsupr-nsupc, nsupc, &Lval[luptr+nsupc],
&x[fsupc], &work[0] );
#endif
iptr = istart + nsupc;
for (i = 0; i < nrow; ++i, ++iptr) {
irow = L_SUB(iptr);
x[irow] -= work[i]; /* Scatter */
work[i] = 0.0;
}
}
} /* for k ... */
} else {
/* Form x := inv(U)*x */
if ( U->nrow == 0 ) return 0; /* Quick return */
for (k = Lstore->nsuper; k >= 0; k--) {
fsupc = L_FST_SUPC(k);
nsupr = L_SUB_START(fsupc+1) - L_SUB_START(fsupc);
nsupc = L_FST_SUPC(k+1) - fsupc;
luptr = L_NZ_START(fsupc);
solve_ops += nsupc * (nsupc + 1);
if ( nsupc == 1 ) {
x[fsupc] /= Lval[luptr];
for (i = U_NZ_START(fsupc); i < U_NZ_START(fsupc+1); ++i) {
irow = U_SUB(i);
x[irow] -= x[fsupc] * Uval[i];
}
} else {
#ifdef USE_VENDOR_BLAS
#ifdef _CRAY
ftcs1 = _cptofcd("U", strlen("U"));
ftcs2 = _cptofcd("N", strlen("N"));
STRSV(ftcs1, ftcs2, ftcs2, &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
#else
dtrsv_("U", "N", "N", &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
#endif
#else
dusolve ( nsupr, nsupc, &Lval[luptr], &x[fsupc] );
#endif
for (jcol = fsupc; jcol < L_FST_SUPC(k+1); jcol++) {
solve_ops += 2*(U_NZ_START(jcol+1) - U_NZ_START(jcol));
for (i = U_NZ_START(jcol); i < U_NZ_START(jcol+1);
i++) {
irow = U_SUB(i);
x[irow] -= x[jcol] * Uval[i];
}
}
}
} /* for k ... */
}
} else { /* Form x := inv(A')*x */
if ( lsame_(uplo, "L") ) {
/* Form x := inv(L')*x */
if ( L->nrow == 0 ) return 0; /* Quick return */
for (k = Lstore->nsuper; k >= 0; --k) {
fsupc = L_FST_SUPC(k);
istart = L_SUB_START(fsupc);
nsupr = L_SUB_START(fsupc+1) - istart;
nsupc = L_FST_SUPC(k+1) - fsupc;
luptr = L_NZ_START(fsupc);
solve_ops += 2 * (nsupr - nsupc) * nsupc;
for (jcol = fsupc; jcol < L_FST_SUPC(k+1); jcol++) {
iptr = istart + nsupc;
for (i = L_NZ_START(jcol) + nsupc;
i < L_NZ_START(jcol+1); i++) {
irow = L_SUB(iptr);
x[jcol] -= x[irow] * Lval[i];
iptr++;
}
}
if ( nsupc > 1 ) {
solve_ops += nsupc * (nsupc - 1);
#ifdef _CRAY
ftcs1 = _cptofcd("L", strlen("L"));
ftcs2 = _cptofcd("T", strlen("T"));
ftcs3 = _cptofcd("U", strlen("U"));
STRSV(ftcs1, ftcs2, ftcs3, &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
#else
dtrsv_("L", "T", "U", &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
#endif
}
}
} else {
/* Form x := inv(U')*x */
if ( U->nrow == 0 ) return 0; /* Quick return */
for (k = 0; k <= Lstore->nsuper; k++) {
fsupc = L_FST_SUPC(k);
nsupr = L_SUB_START(fsupc+1) - L_SUB_START(fsupc);
nsupc = L_FST_SUPC(k+1) - fsupc;
luptr = L_NZ_START(fsupc);
for (jcol = fsupc; jcol < L_FST_SUPC(k+1); jcol++) {
solve_ops += 2*(U_NZ_START(jcol+1) - U_NZ_START(jcol));
for (i = U_NZ_START(jcol); i < U_NZ_START(jcol+1); i++) {
irow = U_SUB(i);
x[jcol] -= x[irow] * Uval[i];
}
}
solve_ops += nsupc * (nsupc + 1);
if ( nsupc == 1 ) {
x[fsupc] /= Lval[luptr];
} else {
#ifdef _CRAY
ftcs1 = _cptofcd("U", strlen("U"));
ftcs2 = _cptofcd("T", strlen("T"));
ftcs3 = _cptofcd("N", strlen("N"));
STRSV( ftcs1, ftcs2, ftcs3, &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
#else
dtrsv_("U", "T", "N", &nsupc, &Lval[luptr], &nsupr,
&x[fsupc], &incx);
#endif
}
} /* for k ... */
}
}
SuperLUStat.ops[SOLVE] += solve_ops;
SUPERLU_FREE(work);
return 0;
}
float
ddistribute(fact_t fact, int_t n, SuperMatrix *A,
Glu_freeable_t *Glu_freeable,
LUstruct_t *LUstruct, gridinfo_t *grid)
{
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
int_t bnnz, fsupc, fsupc1, i, ii, irow, istart, j, jb, jj, k,
len, len1, nsupc;
int_t ljb; /* local block column number */
int_t nrbl; /* number of L blocks in current block column */
int_t nrbu; /* number of U blocks in current block column */
int_t gb; /* global block number; 0 < gb <= nsuper */
int_t lb; /* local block number; 0 < lb <= ceil(NSUPERS/Pr) */
int iam, jbrow, kcol, mycol, myrow, pc, pr;
int_t mybufmax[NBUFFERS];
NCPformat *Astore;
double *a;
int_t *asub;
int_t *xa_begin, *xa_end;
int_t *xsup = Glu_persist->xsup; /* supernode and column mapping */
int_t *supno = Glu_persist->supno;
int_t *lsub, *xlsub, *usub, *xusub;
int_t nsupers;
int_t next_lind; /* next available position in index[*] */
int_t next_lval; /* next available position in nzval[*] */
int_t *index; /* indices consist of headers and row subscripts */
int *index1; /* temporary pointer to array of int */
double *lusup, *uval; /* nonzero values in L and U */
double **Lnzval_bc_ptr; /* size ceil(NSUPERS/Pc) */
int_t **Lrowind_bc_ptr; /* size ceil(NSUPERS/Pc) */
double **Unzval_br_ptr; /* size ceil(NSUPERS/Pr) */
int_t **Ufstnz_br_ptr; /* size ceil(NSUPERS/Pr) */
/*-- Counts to be used in factorization. --*/
int *ToRecv, *ToSendD, **ToSendR;
/*-- Counts to be used in lower triangular solve. --*/
int_t *fmod; /* Modification count for L-solve. */
int_t **fsendx_plist; /* Column process list to send down Xk. */
int_t nfrecvx = 0; /* Number of Xk I will receive. */
int_t nfsendx = 0; /* Number of Xk I will send */
int_t kseen;
/*-- Counts to be used in upper triangular solve. --*/
int_t *bmod; /* Modification count for U-solve. */
int_t **bsendx_plist; /* Column process list to send down Xk. */
int_t nbrecvx = 0; /* Number of Xk I will receive. */
int_t nbsendx = 0; /* Number of Xk I will send */
int_t *ilsum; /* starting position of each supernode in
the full array (local) */
/*-- Auxiliary arrays; freed on return --*/
int_t *rb_marker; /* block hit marker; size ceil(NSUPERS/Pr) */
int_t *Urb_length; /* U block length; size ceil(NSUPERS/Pr) */
int_t *Urb_indptr; /* pointers to U index[]; size ceil(NSUPERS/Pr) */
int_t *Urb_fstnz; /* # of fstnz in a block row; size ceil(NSUPERS/Pr) */
int_t *Ucbs; /* number of column blocks in a block row */
int_t *Lrb_length; /* L block length; size ceil(NSUPERS/Pr) */
int_t *Lrb_number; /* global block number; size ceil(NSUPERS/Pr) */
int_t *Lrb_indptr; /* pointers to L index[]; size ceil(NSUPERS/Pr) */
int_t *Lrb_valptr; /* pointers to L nzval[]; size ceil(NSUPERS/Pr) */
double *dense, *dense_col; /* SPA */
double zero = 0.0;
int_t ldaspa; /* LDA of SPA */
int_t iword, dword;
float mem_use = 0.0;
#if ( PRNTlevel>=1 )
int_t nLblocks = 0, nUblocks = 0;
#endif
#if ( PROFlevel>=1 )
double t, t_u, t_l;
int_t u_blks;
#endif
/* Initialization. */
iam = grid->iam;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
for (i = 0; i < NBUFFERS; ++i) mybufmax[i] = 0;
nsupers = supno[n-1] + 1;
Astore = A->Store;
a = Astore->nzval;
asub = Astore->rowind;
xa_begin = Astore->colbeg;
xa_end = Astore->colend;
#if ( PRNTlevel>=1 )
iword = sizeof(int_t);
dword = sizeof(double);
#endif
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter ddistribute()");
#endif
if ( fact == SamePattern_SameRowPerm ) {
/* ---------------------------------------------------------------
* REUSE THE L AND U DATA STRUCTURES FROM A PREVIOUS FACTORIZATION.
* --------------------------------------------------------------- */
#if ( PROFlevel>=1 )
t_l = t_u = 0; u_blks = 0;
#endif
/* We can propagate the new values of A into the existing
L and U data structures. */
ilsum = Llu->ilsum;
ldaspa = Llu->ldalsum;
if ( !(dense = doubleCalloc_dist(((size_t)ldaspa) * sp_ienv_dist(3))) )
ABORT("Calloc fails for SPA dense[].");
nrbu = CEILING( nsupers, grid->nprow ); /* No. of local block rows */
if ( !(Urb_length = intCalloc_dist(nrbu)) )
ABORT("Calloc fails for Urb_length[].");
if ( !(Urb_indptr = intMalloc_dist(nrbu)) )
ABORT("Malloc fails for Urb_indptr[].");
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
Unzval_br_ptr = Llu->Unzval_br_ptr;
#if ( PRNTlevel>=1 )
mem_use += 2.0*nrbu*iword + ldaspa*sp_ienv_dist(3)*dword;
#endif
#if ( PROFlevel>=1 )
t = SuperLU_timer_();
#endif
/* Initialize Uval to zero. */
for (lb = 0; lb < nrbu; ++lb) {
Urb_indptr[lb] = BR_HEADER; /* Skip header in U index[]. */
index = Ufstnz_br_ptr[lb];
if ( index ) {
uval = Unzval_br_ptr[lb];
len = index[1];
for (i = 0; i < len; ++i) uval[i] = zero;
} /* if index != NULL */
} /* for lb ... */
for (jb = 0; jb < nsupers; ++jb) { /* Loop through each block column */
pc = PCOL( jb, grid );
if ( mycol == pc ) { /* Block column jb in my process column */
fsupc = FstBlockC( jb );
nsupc = SuperSize( jb );
/* Scatter A into SPA (for L), or into U directly. */
for (j = fsupc, dense_col = dense; j < FstBlockC(jb+1); ++j) {
for (i = xa_begin[j]; i < xa_end[j]; ++i) {
irow = asub[i];
gb = BlockNum( irow );
if ( myrow == PROW( gb, grid ) ) {
lb = LBi( gb, grid );
if ( gb < jb ) { /* in U */
index = Ufstnz_br_ptr[lb];
uval = Unzval_br_ptr[lb];
while ( (k = index[Urb_indptr[lb]]) < jb ) {
/* Skip nonzero values in this block */
Urb_length[lb] += index[Urb_indptr[lb]+1];
/* Move pointer to the next block */
Urb_indptr[lb] += UB_DESCRIPTOR
+ SuperSize( k );
}
/*assert(k == jb);*/
/* start fstnz */
istart = Urb_indptr[lb] + UB_DESCRIPTOR;
len = Urb_length[lb];
fsupc1 = FstBlockC( gb+1 );
k = j - fsupc;
/* Sum the lengths of the leading columns */
for (jj = 0; jj < k; ++jj)
len += fsupc1 - index[istart++];
/*assert(irow>=index[istart]);*/
uval[len + irow - index[istart]] = a[i];
} else { /* in L; put in SPA first */
irow = ilsum[lb] + irow - FstBlockC( gb );
dense_col[irow] = a[i];
}
}
} /* for i ... */
dense_col += ldaspa;
} /* for j ... */
#if ( PROFlevel>=1 )
t_u += SuperLU_timer_() - t;
t = SuperLU_timer_();
#endif
/* Gather the values of A from SPA into Lnzval[]. */
ljb = LBj( jb, grid ); /* Local block number */
index = Lrowind_bc_ptr[ljb];
if ( index ) {
nrbl = index[0]; /* Number of row blocks. */
len = index[1]; /* LDA of lusup[]. */
lusup = Lnzval_bc_ptr[ljb];
next_lind = BC_HEADER;
next_lval = 0;
for (jj = 0; jj < nrbl; ++jj) {
gb = index[next_lind++];
len1 = index[next_lind++]; /* Rows in the block. */
lb = LBi( gb, grid );
for (bnnz = 0; bnnz < len1; ++bnnz) {
irow = index[next_lind++]; /* Global index. */
irow = ilsum[lb] + irow - FstBlockC( gb );
k = next_lval++;
for (j = 0, dense_col = dense; j < nsupc; ++j) {
lusup[k] = dense_col[irow];
dense_col[irow] = zero;
k += len;
dense_col += ldaspa;
}
} /* for bnnz ... */
} /* for jj ... */
} /* if index ... */
#if ( PROFlevel>=1 )
t_l += SuperLU_timer_() - t;
#endif
} /* if mycol == pc */
} /* for jb ... */
SUPERLU_FREE(dense);
SUPERLU_FREE(Urb_length);
SUPERLU_FREE(Urb_indptr);
#if ( PROFlevel>=1 )
if ( !iam ) printf(".. 2nd distribute time: L %.2f\tU %.2f\tu_blks %d\tnrbu %d\n",
t_l, t_u, u_blks, nrbu);
#endif
} else {
/* --------------------------------------------------
* FIRST TIME CREATING THE L AND U DATA STRUCTURE.
* -------------------------------------------------- */
#if ( PROFlevel>=1 )
t_l = t_u = 0; u_blks = 0;
#endif
/* No L and U data structures are available yet.
We need to set up the L and U data structures and propagate
the values of A into them. */
lsub = Glu_freeable->lsub; /* compressed L subscripts */
xlsub = Glu_freeable->xlsub;
usub = Glu_freeable->usub; /* compressed U subscripts */
xusub = Glu_freeable->xusub;
if ( !(ToRecv = SUPERLU_MALLOC(nsupers * sizeof(int))) )
ABORT("Malloc fails for ToRecv[].");
for (i = 0; i < nsupers; ++i) ToRecv[i] = 0;
k = CEILING( nsupers, grid->npcol );/* Number of local column blocks */
if ( !(ToSendR = (int **) SUPERLU_MALLOC(k*sizeof(int*))) )
ABORT("Malloc fails for ToSendR[].");
j = k * grid->npcol;
if ( !(index1 = SUPERLU_MALLOC(j * sizeof(int))) )
ABORT("Malloc fails for index[].");
#if ( PRNTlevel>=1 )
mem_use += (float) k*sizeof(int_t*) + (j + nsupers)*iword;
#endif
for (i = 0; i < j; ++i) index1[i] = EMPTY;
for (i = 0,j = 0; i < k; ++i, j += grid->npcol) ToSendR[i] = &index1[j];
k = CEILING( nsupers, grid->nprow ); /* Number of local block rows */
/* Pointers to the beginning of each block row of U. */
if ( !(Unzval_br_ptr =
(double**)SUPERLU_MALLOC(k * sizeof(double*))) )
ABORT("Malloc fails for Unzval_br_ptr[].");
if ( !(Ufstnz_br_ptr = (int_t**)SUPERLU_MALLOC(k * sizeof(int_t*))) )
ABORT("Malloc fails for Ufstnz_br_ptr[].");
if ( !(ToSendD = SUPERLU_MALLOC(k * sizeof(int))) )
ABORT("Malloc fails for ToSendD[].");
for (i = 0; i < k; ++i) ToSendD[i] = NO;
if ( !(ilsum = intMalloc_dist(k+1)) )
ABORT("Malloc fails for ilsum[].");
/* Auxiliary arrays used to set up U block data structures.
They are freed on return. */
if ( !(rb_marker = intCalloc_dist(k)) )
ABORT("Calloc fails for rb_marker[].");
if ( !(Urb_length = intCalloc_dist(k)) )
ABORT("Calloc fails for Urb_length[].");
if ( !(Urb_indptr = intMalloc_dist(k)) )
ABORT("Malloc fails for Urb_indptr[].");
if ( !(Urb_fstnz = intCalloc_dist(k)) )
ABORT("Calloc fails for Urb_fstnz[].");
if ( !(Ucbs = intCalloc_dist(k)) )
ABORT("Calloc fails for Ucbs[].");
#if ( PRNTlevel>=1 )
mem_use += 2.0*k*sizeof(int_t*) + (7.0*k+1)*iword;
#endif
/* Compute ldaspa and ilsum[]. */
ldaspa = 0;
ilsum[0] = 0;
for (gb = 0; gb < nsupers; ++gb) {
if ( myrow == PROW( gb, grid ) ) {
i = SuperSize( gb );
ldaspa += i;
lb = LBi( gb, grid );
ilsum[lb + 1] = ilsum[lb] + i;
}
}
/* ------------------------------------------------------------
COUNT NUMBER OF ROW BLOCKS AND THE LENGTH OF EACH BLOCK IN U.
THIS ACCOUNTS FOR ONE-PASS PROCESSING OF G(U).
------------------------------------------------------------*/
/* Loop through each supernode column. */
for (jb = 0; jb < nsupers; ++jb) {
pc = PCOL( jb, grid );
fsupc = FstBlockC( jb );
nsupc = SuperSize( jb );
/* Loop through each column in the block. */
for (j = fsupc; j < fsupc + nsupc; ++j) {
/* usub[*] contains only "first nonzero" in each segment. */
for (i = xusub[j]; i < xusub[j+1]; ++i) {
irow = usub[i]; /* First nonzero of the segment. */
gb = BlockNum( irow );
kcol = PCOL( gb, grid );
ljb = LBj( gb, grid );
if ( mycol == kcol && mycol != pc ) ToSendR[ljb][pc] = YES;
pr = PROW( gb, grid );
lb = LBi( gb, grid );
if ( mycol == pc ) {
if ( myrow == pr ) {
ToSendD[lb] = YES;
/* Count nonzeros in entire block row. */
Urb_length[lb] += FstBlockC( gb+1 ) - irow;
if (rb_marker[lb] <= jb) {/* First see the block */
rb_marker[lb] = jb + 1;
Urb_fstnz[lb] += nsupc;
++Ucbs[lb]; /* Number of column blocks
in block row lb. */
#if ( PRNTlevel>=1 )
++nUblocks;
#endif
}
ToRecv[gb] = 1;
} else ToRecv[gb] = 2; /* Do I need 0, 1, 2 ? */
}
} /* for i ... */
} /* for j ... */
} /* for jb ... */
/* Set up the initial pointers for each block row in U. */
nrbu = CEILING( nsupers, grid->nprow );/* Number of local block rows */
for (lb = 0; lb < nrbu; ++lb) {
len = Urb_length[lb];
rb_marker[lb] = 0; /* Reset block marker. */
if ( len ) {
/* Add room for descriptors */
len1 = Urb_fstnz[lb] + BR_HEADER + Ucbs[lb] * UB_DESCRIPTOR;
if ( !(index = intMalloc_dist(len1+1)) )
ABORT("Malloc fails for Uindex[].");
Ufstnz_br_ptr[lb] = index;
if ( !(Unzval_br_ptr[lb] = doubleMalloc_dist(len)) )
ABORT("Malloc fails for Unzval_br_ptr[*][].");
mybufmax[2] = SUPERLU_MAX( mybufmax[2], len1 );
mybufmax[3] = SUPERLU_MAX( mybufmax[3], len );
index[0] = Ucbs[lb]; /* Number of column blocks */
index[1] = len; /* Total length of nzval[] */
index[2] = len1; /* Total length of index[] */
index[len1] = -1; /* End marker */
} else {
Ufstnz_br_ptr[lb] = NULL;
Unzval_br_ptr[lb] = NULL;
}
Urb_length[lb] = 0; /* Reset block length. */
Urb_indptr[lb] = BR_HEADER; /* Skip header in U index[]. */
Urb_fstnz[lb] = BR_HEADER;
} /* for lb ... */
SUPERLU_FREE(Ucbs);
#if ( PROFlevel>=1 )
t = SuperLU_timer_() - t;
if ( !iam) printf(".. Phase 2 - setup U strut time: %.2f\t\n", t);
#endif
#if ( PRNTlevel>=1 )
mem_use -= 2.0*k * iword;
#endif
/* Auxiliary arrays used to set up L block data structures.
They are freed on return.
k is the number of local row blocks. */
if ( !(Lrb_length = intCalloc_dist(k)) )
ABORT("Calloc fails for Lrb_length[].");
if ( !(Lrb_number = intMalloc_dist(k)) )
ABORT("Malloc fails for Lrb_number[].");
if ( !(Lrb_indptr = intMalloc_dist(k)) )
ABORT("Malloc fails for Lrb_indptr[].");
if ( !(Lrb_valptr = intMalloc_dist(k)) )
ABORT("Malloc fails for Lrb_valptr[].");
if (!(dense=doubleCalloc_dist(SUPERLU_MAX(1,((size_t)ldaspa)
*sp_ienv_dist(3)))))
ABORT("Calloc fails for SPA dense[].");
/* These counts will be used for triangular solves. */
if ( !(fmod = intCalloc_dist(k)) )
ABORT("Calloc fails for fmod[].");
if ( !(bmod = intCalloc_dist(k)) )
ABORT("Calloc fails for bmod[].");
#if ( PRNTlevel>=1 )
mem_use += 6.0*k*iword + ldaspa*sp_ienv_dist(3)*dword;
#endif
k = CEILING( nsupers, grid->npcol );/* Number of local block columns */
/* Pointers to the beginning of each block column of L. */
if ( !(Lnzval_bc_ptr = (double**)SUPERLU_MALLOC(k * sizeof(double*))) )
ABORT("Malloc fails for Lnzval_bc_ptr[].");
if ( !(Lrowind_bc_ptr = (int_t**)SUPERLU_MALLOC(k * sizeof(int_t*))) )
ABORT("Malloc fails for Lrowind_bc_ptr[].");
Lrowind_bc_ptr[k-1] = NULL;
/* These lists of processes will be used for triangular solves. */
if ( !(fsendx_plist = (int_t **) SUPERLU_MALLOC(k*sizeof(int_t*))) )
ABORT("Malloc fails for fsendx_plist[].");
len = k * grid->nprow;
if ( !(index = intMalloc_dist(len)) )
ABORT("Malloc fails for fsendx_plist[0]");
for (i = 0; i < len; ++i) index[i] = EMPTY;
for (i = 0, j = 0; i < k; ++i, j += grid->nprow)
fsendx_plist[i] = &index[j];
if ( !(bsendx_plist = (int_t **) SUPERLU_MALLOC(k*sizeof(int_t*))) )
ABORT("Malloc fails for bsendx_plist[].");
if ( !(index = intMalloc_dist(len)) )
ABORT("Malloc fails for bsendx_plist[0]");
for (i = 0; i < len; ++i) index[i] = EMPTY;
for (i = 0, j = 0; i < k; ++i, j += grid->nprow)
bsendx_plist[i] = &index[j];
#if ( PRNTlevel>=1 )
mem_use += 4.0*k*sizeof(int_t*) + 2.0*len*iword;
#endif
/*------------------------------------------------------------
PROPAGATE ROW SUBSCRIPTS AND VALUES OF A INTO L AND U BLOCKS.
THIS ACCOUNTS FOR ONE-PASS PROCESSING OF A, L AND U.
------------------------------------------------------------*/
for (jb = 0; jb < nsupers; ++jb) {
pc = PCOL( jb, grid );
if ( mycol == pc ) { /* Block column jb in my process column */
fsupc = FstBlockC( jb );
nsupc = SuperSize( jb );
ljb = LBj( jb, grid ); /* Local block number */
/* Scatter A into SPA. */
for (j = fsupc, dense_col = dense; j < FstBlockC( jb+1 ); ++j){
for (i = xa_begin[j]; i < xa_end[j]; ++i) {
irow = asub[i];
gb = BlockNum( irow );
if ( myrow == PROW( gb, grid ) ) {
lb = LBi( gb, grid );
irow = ilsum[lb] + irow - FstBlockC( gb );
dense_col[irow] = a[i];
}
}
dense_col += ldaspa;
}
jbrow = PROW( jb, grid );
#if ( PROFlevel>=1 )
t = SuperLU_timer_();
#endif
/*------------------------------------------------
* SET UP U BLOCKS.
*------------------------------------------------*/
kseen = 0;
dense_col = dense;
/* Loop through each column in the block column. */
for (j = fsupc; j < FstBlockC( jb+1 ); ++j) {
istart = xusub[j];
/* NOTE: Only the first nonzero index of the segment
is stored in usub[]. */
for (i = istart; i < xusub[j+1]; ++i) {
irow = usub[i]; /* First nonzero in the segment. */
gb = BlockNum( irow );
pr = PROW( gb, grid );
if ( pr != jbrow &&
myrow == jbrow && /* diag. proc. owning jb */
bsendx_plist[ljb][pr] == EMPTY ) {
bsendx_plist[ljb][pr] = YES;
++nbsendx;
}
if ( myrow == pr ) {
lb = LBi( gb, grid ); /* Local block number */
index = Ufstnz_br_ptr[lb];
uval = Unzval_br_ptr[lb];
fsupc1 = FstBlockC( gb+1 );
if (rb_marker[lb] <= jb) { /* First time see
the block */
rb_marker[lb] = jb + 1;
Urb_indptr[lb] = Urb_fstnz[lb];;
index[Urb_indptr[lb]] = jb; /* Descriptor */
Urb_indptr[lb] += UB_DESCRIPTOR;
/* Record the first location in index[] of the
next block */
Urb_fstnz[lb] = Urb_indptr[lb] + nsupc;
len = Urb_indptr[lb];/* Start fstnz in index */
index[len-1] = 0;
for (k = 0; k < nsupc; ++k)
index[len+k] = fsupc1;
if ( gb != jb )/* Exclude diagonal block. */
++bmod[lb];/* Mod. count for back solve */
if ( kseen == 0 && myrow != jbrow ) {
++nbrecvx;
kseen = 1;
}
} else { /* Already saw the block */
len = Urb_indptr[lb];/* Start fstnz in index */
}
jj = j - fsupc;
index[len+jj] = irow;
/* Load the numerical values */
k = fsupc1 - irow; /* No. of nonzeros in segment */
index[len-1] += k; /* Increment block length in
Descriptor */
irow = ilsum[lb] + irow - FstBlockC( gb );
for (ii = 0; ii < k; ++ii) {
uval[Urb_length[lb]++] = dense_col[irow + ii];
dense_col[irow + ii] = zero;
}
} /* if myrow == pr ... */
} /* for i ... */
dense_col += ldaspa;
} /* for j ... */
#if ( PROFlevel>=1 )
t_u += SuperLU_timer_() - t;
t = SuperLU_timer_();
#endif
/*------------------------------------------------
* SET UP L BLOCKS.
*------------------------------------------------*/
/* Count number of blocks and length of each block. */
nrbl = 0;
len = 0; /* Number of row subscripts I own. */
kseen = 0;
istart = xlsub[fsupc];
for (i = istart; i < xlsub[fsupc+1]; ++i) {
irow = lsub[i];
gb = BlockNum( irow ); /* Global block number */
pr = PROW( gb, grid ); /* Process row owning this block */
if ( pr != jbrow &&
myrow == jbrow && /* diag. proc. owning jb */
fsendx_plist[ljb][pr] == EMPTY /* first time */ ) {
fsendx_plist[ljb][pr] = YES;
++nfsendx;
}
if ( myrow == pr ) {
lb = LBi( gb, grid ); /* Local block number */
if (rb_marker[lb] <= jb) { /* First see this block */
rb_marker[lb] = jb + 1;
Lrb_length[lb] = 1;
Lrb_number[nrbl++] = gb;
if ( gb != jb ) /* Exclude diagonal block. */
++fmod[lb]; /* Mod. count for forward solve */
if ( kseen == 0 && myrow != jbrow ) {
++nfrecvx;
kseen = 1;
}
#if ( PRNTlevel>=1 )
++nLblocks;
#endif
} else {
++Lrb_length[lb];
}
++len;
}
} /* for i ... */
if ( nrbl ) { /* Do not ensure the blocks are sorted! */
/* Set up the initial pointers for each block in
index[] and nzval[]. */
/* Add room for descriptors */
len1 = len + BC_HEADER + nrbl * LB_DESCRIPTOR;
if ( !(index = intMalloc_dist(len1)) )
ABORT("Malloc fails for index[]");
Lrowind_bc_ptr[ljb] = index;
if (!(Lnzval_bc_ptr[ljb] = doubleMalloc_dist(((size_t)len)*nsupc))) {
fprintf(stderr, "col block " IFMT " ", jb);
ABORT("Malloc fails for Lnzval_bc_ptr[*][]");
}
mybufmax[0] = SUPERLU_MAX( mybufmax[0], len1 );
mybufmax[1] = SUPERLU_MAX( mybufmax[1], len*nsupc );
mybufmax[4] = SUPERLU_MAX( mybufmax[4], len );
index[0] = nrbl; /* Number of row blocks */
index[1] = len; /* LDA of the nzval[] */
next_lind = BC_HEADER;
next_lval = 0;
for (k = 0; k < nrbl; ++k) {
gb = Lrb_number[k];
lb = LBi( gb, grid );
len = Lrb_length[lb];
Lrb_length[lb] = 0; /* Reset vector of block length */
index[next_lind++] = gb; /* Descriptor */
index[next_lind++] = len;
Lrb_indptr[lb] = next_lind;
Lrb_valptr[lb] = next_lval;
next_lind += len;
next_lval += len;
}
/* Propagate the compressed row subscripts to Lindex[], and
the initial values of A from SPA into Lnzval[]. */
lusup = Lnzval_bc_ptr[ljb];
len = index[1]; /* LDA of lusup[] */
for (i = istart; i < xlsub[fsupc+1]; ++i) {
irow = lsub[i];
gb = BlockNum( irow );
if ( myrow == PROW( gb, grid ) ) {
lb = LBi( gb, grid );
k = Lrb_indptr[lb]++; /* Random access a block */
index[k] = irow;
k = Lrb_valptr[lb]++;
irow = ilsum[lb] + irow - FstBlockC( gb );
for (j = 0, dense_col = dense; j < nsupc; ++j) {
lusup[k] = dense_col[irow];
dense_col[irow] = 0.0;
k += len;
dense_col += ldaspa;
}
}
} /* for i ... */
} else {
Lrowind_bc_ptr[ljb] = NULL;
Lnzval_bc_ptr[ljb] = NULL;
} /* if nrbl ... */
#if ( PROFlevel>=1 )
t_l += SuperLU_timer_() - t;
#endif
} /* if mycol == pc */
} /* for jb ... */
Llu->Lrowind_bc_ptr = Lrowind_bc_ptr;
Llu->Lnzval_bc_ptr = Lnzval_bc_ptr;
Llu->Ufstnz_br_ptr = Ufstnz_br_ptr;
Llu->Unzval_br_ptr = Unzval_br_ptr;
Llu->ToRecv = ToRecv;
Llu->ToSendD = ToSendD;
Llu->ToSendR = ToSendR;
Llu->fmod = fmod;
Llu->fsendx_plist = fsendx_plist;
Llu->nfrecvx = nfrecvx;
Llu->nfsendx = nfsendx;
Llu->bmod = bmod;
Llu->bsendx_plist = bsendx_plist;
Llu->nbrecvx = nbrecvx;
Llu->nbsendx = nbsendx;
Llu->ilsum = ilsum;
Llu->ldalsum = ldaspa;
#if ( PRNTlevel>=1 )
if ( !iam ) printf(".. # L blocks " IFMT "\t# U blocks " IFMT "\n",
nLblocks, nUblocks);
#endif
SUPERLU_FREE(rb_marker);
SUPERLU_FREE(Urb_fstnz);
SUPERLU_FREE(Urb_length);
SUPERLU_FREE(Urb_indptr);
SUPERLU_FREE(Lrb_length);
SUPERLU_FREE(Lrb_number);
SUPERLU_FREE(Lrb_indptr);
SUPERLU_FREE(Lrb_valptr);
SUPERLU_FREE(dense);
k = CEILING( nsupers, grid->nprow );/* Number of local block rows */
if ( !(Llu->mod_bit = intMalloc_dist(k)) )
ABORT("Malloc fails for mod_bit[].");
/* Find the maximum buffer size. */
MPI_Allreduce(mybufmax, Llu->bufmax, NBUFFERS, mpi_int_t,
MPI_MAX, grid->comm);
#if ( PROFlevel>=1 )
if ( !iam ) printf(".. 1st distribute time:\n "
"\tL\t%.2f\n\tU\t%.2f\n"
"\tu_blks %d\tnrbu %d\n--------\n",
t_l, t_u, u_blks, nrbu);
#endif
} /* else fact != SamePattern_SameRowPerm */
#if ( DEBUGlevel>=1 )
/* Memory allocated but not freed:
ilsum, fmod, fsendx_plist, bmod, bsendx_plist */
CHECK_MALLOC(iam, "Exit ddistribute()");
#endif
return (mem_use);
} /* DDISTRIBUTE */
void
GenXtrueRHS(int nrhs, SuperMatrix *A, Glu_persist_t *Glu_persist,
gridinfo_t *grid, double **xact, int *ldx, double **b, int *ldb)
{
int_t gb, gbrow, i, iam, irow, j, lb, lsup, myrow, n, nlrows,
nsupr, nsupers, rel;
int_t *supno, *xsup, *lxsup;
double *x, *bb;
NCformat *Astore;
double *Aval;
n = A->ncol;
*ldb = 0;
supno = Glu_persist->supno;
xsup = Glu_persist->xsup;
nsupers = supno[n-1] + 1;
iam = grid->iam;
myrow = MYROW( iam, grid );
Astore = A->Store;
Aval = Astore->nzval;
lb = CEILING( nsupers, grid->nprow ) + 1;
if ( !(lxsup = intMalloc_dist(lb)) )
ABORT("Malloc fails for lxsup[].");
lsup = 0;
nlrows = 0;
for (j = 0; j < nsupers; ++j) {
i = PROW( j, grid );
if ( myrow == i ) {
nsupr = SuperSize( j );
*ldb += nsupr;
lxsup[lsup++] = nlrows;
nlrows += nsupr;
}
}
*ldx = n;
if ( !(x = doubleMalloc_dist(((size_t)*ldx) * nrhs)) )
ABORT("Malloc fails for x[].");
if ( !(bb = doubleCalloc_dist(*ldb * nrhs)) )
ABORT("Calloc fails for bb[].");
for (j = 0; j < nrhs; ++j)
for (i = 0; i < n; ++i) x[i + j*(*ldx)] = 1.0;
/* Form b = A*x. */
for (j = 0; j < n; ++j)
for (i = Astore->colptr[j]; i < Astore->colptr[j+1]; ++i) {
irow = Astore->rowind[i];
gb = supno[irow];
gbrow = PROW( gb, grid );
if ( myrow == gbrow ) {
rel = irow - xsup[gb];
lb = LBi( gb, grid );
bb[lxsup[lb] + rel] += Aval[i] * x[j];
}
}
/* Memory allocated but not freed: xact, b */
*xact = x;
*b = bb;
SUPERLU_FREE(lxsup);
#if ( PRNTlevel>=2 )
for (i = 0; i < grid->nprow*grid->npcol; ++i) {
if ( iam == i ) {
printf("\n(%d)\n", iam);
PrintDouble5("rhs", *ldb, *b);
}
MPI_Barrier( grid->comm );
}
#endif
} /* GENXTRUERHS */
int_t
pddistribute(fact_t fact, int_t n, SuperMatrix *A,
ScalePermstruct_t *ScalePermstruct,
Glu_freeable_t *Glu_freeable, LUstruct_t *LUstruct,
gridinfo_t *grid)
/*
* -- Distributed SuperLU routine (version 2.0) --
* Lawrence Berkeley National Lab, Univ. of California Berkeley.
* March 15, 2003
*
*
* Purpose
* =======
* Distribute the matrix onto the 2D process mesh.
*
* Arguments
* =========
*
* fact (input) fact_t
* Specifies whether or not the L and U structures will be re-used.
* = SamePattern_SameRowPerm: L and U structures are input, and
* unchanged on exit.
* = DOFACT or SamePattern: L and U structures are computed and output.
*
* n (input) int
* Dimension of the matrix.
*
* A (input) SuperMatrix*
* The distributed input matrix A of dimension (A->nrow, A->ncol).
* A may be overwritten by diag(R)*A*diag(C)*Pc^T.
* The type of A can be: Stype = NR; Dtype = SLU_D; Mtype = GE.
*
* ScalePermstruct (input) ScalePermstruct_t*
* The data structure to store the scaling and permutation vectors
* describing the transformations performed to the original matrix A.
*
* Glu_freeable (input) *Glu_freeable_t
* The global structure describing the graph of L and U.
*
* LUstruct (input) LUstruct_t*
* Data structures for L and U factors.
*
* grid (input) gridinfo_t*
* The 2D process mesh.
*
* Return value
* ============
* > 0, working storage required (in bytes).
*
*/
{
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
int_t bnnz, fsupc, i, irow, istart, j, jb, jj, k, len, len1, nsupc;
int_t ljb; /* local block column number */
int_t nrbl; /* number of L blocks in current block column */
int_t nrbu; /* number of U blocks in current block column */
int_t gb; /* global block number; 0 < gb <= nsuper */
int_t lb; /* local block number; 0 < lb <= ceil(NSUPERS/Pr) */
int iam, jbrow, kcol, mycol, myrow, pc, pr;
int_t mybufmax[NBUFFERS];
#if 0
NCPformat *Astore;
#else /* XSL ==> */
NRformat_loc *Astore;
#endif
double *a;
int_t *asub, *xa;
#if 0
int_t *xa_begin, *xa_end;
#endif
int_t *xsup = Glu_persist->xsup; /* supernode and column mapping */
int_t *supno = Glu_persist->supno;
int_t *lsub, *xlsub, *usub, *xusub;
int_t nsupers;
int_t next_lind; /* next available position in index[*] */
int_t next_lval; /* next available position in nzval[*] */
int_t *index; /* indices consist of headers and row subscripts */
double *lusup, *uval; /* nonzero values in L and U */
double **Lnzval_bc_ptr; /* size ceil(NSUPERS/Pc) */
int_t **Lrowind_bc_ptr; /* size ceil(NSUPERS/Pc) */
double **Unzval_br_ptr; /* size ceil(NSUPERS/Pr) */
int_t **Ufstnz_br_ptr; /* size ceil(NSUPERS/Pr) */
/*-- Counts to be used in factorization. --*/
int_t *ToRecv, *ToSendD, **ToSendR;
/*-- Counts to be used in lower triangular solve. --*/
int_t *fmod; /* Modification count for L-solve. */
int_t **fsendx_plist; /* Column process list to send down Xk. */
int_t nfrecvx = 0; /* Number of Xk I will receive. */
int_t kseen;
/*-- Counts to be used in upper triangular solve. --*/
int_t *bmod; /* Modification count for U-solve. */
int_t **bsendx_plist; /* Column process list to send down Xk. */
int_t nbrecvx = 0; /* Number of Xk I will receive. */
int_t *ilsum; /* starting position of each supernode in
the full array (local) */
/*-- Auxiliary arrays; freed on return --*/
int_t *rb_marker; /* block hit marker; size ceil(NSUPERS/Pr) */
int_t *Urb_length; /* U block length; size ceil(NSUPERS/Pr) */
int_t *Urb_indptr; /* pointers to U index[]; size ceil(NSUPERS/Pr) */
int_t *Urb_fstnz; /* # of fstnz in a block row; size ceil(NSUPERS/Pr) */
int_t *Ucbs; /* number of column blocks in a block row */
int_t *Lrb_length; /* L block length; size ceil(NSUPERS/Pr) */
int_t *Lrb_number; /* global block number; size ceil(NSUPERS/Pr) */
int_t *Lrb_indptr; /* pointers to L index[]; size ceil(NSUPERS/Pr) */
int_t *Lrb_valptr; /* pointers to L nzval[]; size ceil(NSUPERS/Pr) */
double *dense, *dense_col; /* SPA */
double zero = 0.0;
int_t ldaspa; /* LDA of SPA */
int_t mem_use = 0, iword, dword;
#if ( PRNTlevel>=1 )
int_t nLblocks = 0, nUblocks = 0;
#endif
#if ( PROFlevel>=1 )
double t, t_u, t_l;
int_t u_blks;
#endif
/* Initialization. */
iam = grid->iam;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
for (i = 0; i < NBUFFERS; ++i) mybufmax[i] = 0;
nsupers = supno[n-1] + 1;
Astore = (NRformat_loc *) A->Store;
#if ( PRNTlevel>=1 )
iword = sizeof(int_t);
dword = sizeof(double);
#endif
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter pddistribute()");
#endif
dReDistribute_A(A, ScalePermstruct, Glu_freeable, xsup, supno,
grid, &xa, &asub, &a);
if ( fact == SamePattern_SameRowPerm ) {
#if ( PROFlevel>=1 )
t_l = t_u = 0; u_blks = 0;
#endif
/* We can propagate the new values of A into the existing
L and U data structures. */
ilsum = Llu->ilsum;
ldaspa = Llu->ldalsum;
if ( !(dense = doubleCalloc_dist(ldaspa * sp_ienv_dist(3))) )
ABORT("Calloc fails for SPA dense[].");
nrbu = CEILING( nsupers, grid->nprow ); /* Number of local block rows */
if ( !(Urb_length = intCalloc_dist(nrbu)) )
ABORT("Calloc fails for Urb_length[].");
if ( !(Urb_indptr = intMalloc_dist(nrbu)) )
ABORT("Malloc fails for Urb_indptr[].");
for (lb = 0; lb < nrbu; ++lb)
Urb_indptr[lb] = BR_HEADER; /* Skip header in U index[]. */
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
Unzval_br_ptr = Llu->Unzval_br_ptr;
#if ( PRNTlevel>=1 )
mem_use += 2*nrbu*iword + ldaspa*sp_ienv_dist(3)*dword;
#endif
for (jb = 0; jb < nsupers; ++jb) { /* Loop through each block column */
pc = PCOL( jb, grid );
if ( mycol == pc ) { /* Block column jb in my process column */
fsupc = FstBlockC( jb );
nsupc = SuperSize( jb );
/* Scatter A into SPA. */
for (j = fsupc, dense_col = dense; j < FstBlockC(jb+1); ++j) {
for (i = xa[j]; i < xa[j+1]; ++i) {
irow = asub[i];
gb = BlockNum( irow );
if ( myrow == PROW( gb, grid ) ) {
lb = LBi( gb, grid );
irow = ilsum[lb] + irow - FstBlockC( gb );
dense_col[irow] = a[i];
}
}
dense_col += ldaspa;
}
#if ( PROFlevel>=1 )
t = SuperLU_timer_();
#endif
/* Gather the values of A from SPA into Unzval[]. */
for (lb = 0; lb < nrbu; ++lb) {
index = Ufstnz_br_ptr[lb];
if ( index && index[Urb_indptr[lb]] == jb ) {
uval = Unzval_br_ptr[lb];
len = Urb_indptr[lb] + UB_DESCRIPTOR;
gb = lb * grid->nprow + myrow;/* Global block number */
k = FstBlockC( gb+1 );
irow = ilsum[lb] - FstBlockC( gb );
for (jj = 0, dense_col = dense; jj < nsupc; ++jj) {
j = index[len+jj];
for (i = j; i < k; ++i) {
uval[Urb_length[lb]++] = dense_col[irow+i];
dense_col[irow+i] = zero;
}
dense_col += ldaspa;
}
Urb_indptr[lb] += UB_DESCRIPTOR + nsupc;
} /* if index != NULL */
} /* for lb ... */
#if ( PROFlevel>=1 )
t_u += SuperLU_timer_() - t;
t = SuperLU_timer_();
#endif
/* Gather the values of A from SPA into Lnzval[]. */
ljb = LBj( jb, grid ); /* Local block number */
index = Lrowind_bc_ptr[ljb];
if ( index ) {
nrbl = index[0]; /* Number of row blocks. */
len = index[1]; /* LDA of lusup[]. */
lusup = Lnzval_bc_ptr[ljb];
next_lind = BC_HEADER;
next_lval = 0;
for (jj = 0; jj < nrbl; ++jj) {
gb = index[next_lind++];
len1 = index[next_lind++]; /* Rows in the block. */
lb = LBi( gb, grid );
for (bnnz = 0; bnnz < len1; ++bnnz) {
irow = index[next_lind++]; /* Global index. */
irow = ilsum[lb] + irow - FstBlockC( gb );
k = next_lval++;
for (j = 0, dense_col = dense; j < nsupc; ++j) {
lusup[k] = dense_col[irow];
dense_col[irow] = zero;
k += len;
dense_col += ldaspa;
}
} /* for bnnz ... */
} /* for jj ... */
} /* if index ... */
#if ( PROFlevel>=1 )
t_l += SuperLU_timer_() - t;
#endif
} /* if mycol == pc */
} /* for jb ... */
SUPERLU_FREE(dense);
SUPERLU_FREE(Urb_length);
SUPERLU_FREE(Urb_indptr);
#if ( PROFlevel>=1 )
if ( !iam ) printf(".. 2nd distribute time: L %.2f\tU %.2f\tu_blks %d\tnrbu %d\n",
t_l, t_u, u_blks, nrbu);
#endif
} else {
/* ------------------------------------------------------------
FIRST TIME CREATING THE L AND U DATA STRUCTURES.
------------------------------------------------------------*/
#if ( PROFlevel>=1 )
t_l = t_u = 0; u_blks = 0;
#endif
/* We first need to set up the L and U data structures and then
* propagate the values of A into them.
*/
lsub = Glu_freeable->lsub; /* compressed L subscripts */
xlsub = Glu_freeable->xlsub;
usub = Glu_freeable->usub; /* compressed U subscripts */
xusub = Glu_freeable->xusub;
if ( !(ToRecv = intCalloc_dist(nsupers)) )
ABORT("Calloc fails for ToRecv[].");
k = CEILING( nsupers, grid->npcol );/* Number of local column blocks */
if ( !(ToSendR = (int_t **) SUPERLU_MALLOC(k*sizeof(int_t*))) )
ABORT("Malloc fails for ToSendR[].");
j = k * grid->npcol;
if ( !(index = intMalloc_dist(j)) )
ABORT("Malloc fails for index[].");
#if ( PRNTlevel>=1 )
mem_use = k*sizeof(int_t*) + (j + nsupers)*iword;
#endif
for (i = 0; i < j; ++i) index[i] = EMPTY;
for (i = 0,j = 0; i < k; ++i, j += grid->npcol) ToSendR[i] = &index[j];
k = CEILING( nsupers, grid->nprow ); /* Number of local block rows */
/* Pointers to the beginning of each block row of U. */
if ( !(Unzval_br_ptr =
(double**)SUPERLU_MALLOC(k * sizeof(double*))) )
ABORT("Malloc fails for Unzval_br_ptr[].");
if ( !(Ufstnz_br_ptr = (int_t**)SUPERLU_MALLOC(k * sizeof(int_t*))) )
ABORT("Malloc fails for Ufstnz_br_ptr[].");
if ( !(ToSendD = intCalloc_dist(k)) )
ABORT("Malloc fails for ToSendD[].");
if ( !(ilsum = intMalloc_dist(k+1)) )
ABORT("Malloc fails for ilsum[].");
/* Auxiliary arrays used to set up U block data structures.
They are freed on return. */
if ( !(rb_marker = intCalloc_dist(k)) )
ABORT("Calloc fails for rb_marker[].");
if ( !(Urb_length = intCalloc_dist(k)) )
ABORT("Calloc fails for Urb_length[].");
if ( !(Urb_indptr = intMalloc_dist(k)) )
ABORT("Malloc fails for Urb_indptr[].");
if ( !(Urb_fstnz = intCalloc_dist(k)) )
ABORT("Calloc fails for Urb_fstnz[].");
if ( !(Ucbs = intCalloc_dist(k)) )
ABORT("Calloc fails for Ucbs[].");
#if ( PRNTlevel>=1 )
mem_use = 2*k*sizeof(int_t*) + (7*k+1)*iword;
#endif
/* Compute ldaspa and ilsum[]. */
ldaspa = 0;
ilsum[0] = 0;
for (gb = 0; gb < nsupers; ++gb) {
if ( myrow == PROW( gb, grid ) ) {
i = SuperSize( gb );
ldaspa += i;
lb = LBi( gb, grid );
ilsum[lb + 1] = ilsum[lb] + i;
}
}
/* ------------------------------------------------------------
COUNT NUMBER OF ROW BLOCKS AND THE LENGTH OF EACH BLOCK IN U.
THIS ACCOUNTS FOR ONE-PASS PROCESSING OF G(U).
------------------------------------------------------------*/
/* Loop through each supernode column. */
for (jb = 0; jb < nsupers; ++jb) {
pc = PCOL( jb, grid );
fsupc = FstBlockC( jb );
nsupc = SuperSize( jb );
/* Loop through each column in the block. */
for (j = fsupc; j < fsupc + nsupc; ++j) {
/* usub[*] contains only "first nonzero" in each segment. */
for (i = xusub[j]; i < xusub[j+1]; ++i) {
irow = usub[i]; /* First nonzero of the segment. */
gb = BlockNum( irow );
kcol = PCOL( gb, grid );
ljb = LBj( gb, grid );
if ( mycol == kcol && mycol != pc ) ToSendR[ljb][pc] = YES;
pr = PROW( gb, grid );
lb = LBi( gb, grid );
if ( mycol == pc ) {
if ( myrow == pr ) {
ToSendD[lb] = YES;
/* Count nonzeros in entire block row. */
Urb_length[lb] += FstBlockC( gb+1 ) - irow;
if (rb_marker[lb] <= jb) {/* First see the block */
rb_marker[lb] = jb + 1;
Urb_fstnz[lb] += nsupc;
++Ucbs[lb]; /* Number of column blocks
in block row lb. */
#if ( PRNTlevel>=1 )
++nUblocks;
#endif
}
ToRecv[gb] = 1;
} else ToRecv[gb] = 2; /* Do I need 0, 1, 2 ? */
}
} /* for i ... */
} /* for j ... */
} /* for jb ... */
/* Set up the initial pointers for each block row in U. */
nrbu = CEILING( nsupers, grid->nprow );/* Number of local block rows */
for (lb = 0; lb < nrbu; ++lb) {
len = Urb_length[lb];
rb_marker[lb] = 0; /* Reset block marker. */
if ( len ) {
/* Add room for descriptors */
len1 = Urb_fstnz[lb] + BR_HEADER + Ucbs[lb] * UB_DESCRIPTOR;
if ( !(index = intMalloc_dist(len1+1)) )
ABORT("Malloc fails for Uindex[].");
Ufstnz_br_ptr[lb] = index;
if ( !(Unzval_br_ptr[lb] = doubleMalloc_dist(len)) )
ABORT("Malloc fails for Unzval_br_ptr[*][].");
mybufmax[2] = SUPERLU_MAX( mybufmax[2], len1 );
mybufmax[3] = SUPERLU_MAX( mybufmax[3], len );
index[0] = Ucbs[lb]; /* Number of column blocks */
index[1] = len; /* Total length of nzval[] */
index[2] = len1; /* Total length of index[] */
index[len1] = -1; /* End marker */
} else {
Ufstnz_br_ptr[lb] = NULL;
Unzval_br_ptr[lb] = NULL;
}
Urb_length[lb] = 0; /* Reset block length. */
Urb_indptr[lb] = BR_HEADER; /* Skip header in U index[]. */
} /* for lb ... */
SUPERLU_FREE(Urb_fstnz);
SUPERLU_FREE(Ucbs);
#if ( PRNTlevel>=1 )
mem_use -= 2*k * iword;
#endif
/* Auxiliary arrays used to set up L block data structures.
They are freed on return.
k is the number of local row blocks. */
if ( !(Lrb_length = intCalloc_dist(k)) )
ABORT("Calloc fails for Lrb_length[].");
if ( !(Lrb_number = intMalloc_dist(k)) )
ABORT("Malloc fails for Lrb_number[].");
if ( !(Lrb_indptr = intMalloc_dist(k)) )
ABORT("Malloc fails for Lrb_indptr[].");
if ( !(Lrb_valptr = intMalloc_dist(k)) )
ABORT("Malloc fails for Lrb_valptr[].");
if ( !(dense = doubleCalloc_dist(ldaspa * sp_ienv_dist(3))) )
ABORT("Calloc fails for SPA dense[].");
/* These counts will be used for triangular solves. */
if ( !(fmod = intCalloc_dist(k)) )
ABORT("Calloc fails for fmod[].");
if ( !(bmod = intCalloc_dist(k)) )
ABORT("Calloc fails for bmod[].");
/* ------------------------------------------------ */
#if ( PRNTlevel>=1 )
mem_use += 6*k*iword + ldaspa*sp_ienv_dist(3)*dword;
#endif
k = CEILING( nsupers, grid->npcol );/* Number of local block columns */
/* Pointers to the beginning of each block column of L. */
if ( !(Lnzval_bc_ptr =
(double**)SUPERLU_MALLOC(k * sizeof(double*))) )
ABORT("Malloc fails for Lnzval_bc_ptr[].");
if ( !(Lrowind_bc_ptr = (int_t**)SUPERLU_MALLOC(k * sizeof(int_t*))) )
ABORT("Malloc fails for Lrowind_bc_ptr[].");
Lrowind_bc_ptr[k-1] = NULL;
/* These lists of processes will be used for triangular solves. */
if ( !(fsendx_plist = (int_t **) SUPERLU_MALLOC(k*sizeof(int_t*))) )
ABORT("Malloc fails for fsendx_plist[].");
len = k * grid->nprow;
if ( !(index = intMalloc_dist(len)) )
ABORT("Malloc fails for fsendx_plist[0]");
for (i = 0; i < len; ++i) index[i] = EMPTY;
for (i = 0, j = 0; i < k; ++i, j += grid->nprow)
fsendx_plist[i] = &index[j];
if ( !(bsendx_plist = (int_t **) SUPERLU_MALLOC(k*sizeof(int_t*))) )
ABORT("Malloc fails for bsendx_plist[].");
if ( !(index = intMalloc_dist(len)) )
ABORT("Malloc fails for bsendx_plist[0]");
for (i = 0; i < len; ++i) index[i] = EMPTY;
for (i = 0, j = 0; i < k; ++i, j += grid->nprow)
bsendx_plist[i] = &index[j];
/* -------------------------------------------------------------- */
#if ( PRNTlevel>=1 )
mem_use += 4*k*sizeof(int_t*) + 2*len*iword;
#endif
/*------------------------------------------------------------
PROPAGATE ROW SUBSCRIPTS AND VALUES OF A INTO L AND U BLOCKS.
THIS ACCOUNTS FOR ONE-PASS PROCESSING OF A, L AND U.
------------------------------------------------------------*/
for (jb = 0; jb < nsupers; ++jb) {
pc = PCOL( jb, grid );
if ( mycol == pc ) { /* Block column jb in my process column */
fsupc = FstBlockC( jb );
nsupc = SuperSize( jb );
ljb = LBj( jb, grid ); /* Local block number */
/* Scatter A into SPA. */
for (j = fsupc, dense_col = dense; j < FstBlockC(jb+1); ++j) {
for (i = xa[j]; i < xa[j+1]; ++i) {
irow = asub[i];
gb = BlockNum( irow );
if ( myrow == PROW( gb, grid ) ) {
lb = LBi( gb, grid );
irow = ilsum[lb] + irow - FstBlockC( gb );
dense_col[irow] = a[i];
}
}
dense_col += ldaspa;
}
jbrow = PROW( jb, grid );
#if ( PROFlevel>=1 )
t = SuperLU_timer_();
#endif
/*------------------------------------------------
* SET UP U BLOCKS.
*------------------------------------------------*/
kseen = 0;
/* Loop through each column in the block column. */
for (j = fsupc; j < FstBlockC( jb+1 ); ++j) {
istart = xusub[j];
for (i = istart; i < xusub[j+1]; ++i) {
irow = usub[i]; /* First nonzero in the segment. */
gb = BlockNum( irow );
pr = PROW( gb, grid );
if ( pr != jbrow )
bsendx_plist[ljb][pr] = YES;
if ( myrow == pr ) {
lb = LBi( gb, grid ); /* Local block number */
index = Ufstnz_br_ptr[lb];
if (rb_marker[lb] <= jb) {/* First see the block */
rb_marker[lb] = jb + 1;
index[Urb_indptr[lb]] = jb; /* Descriptor */
Urb_indptr[lb] += UB_DESCRIPTOR;
len = Urb_indptr[lb];
for (k = 0; k < nsupc; ++k)
index[len+k] = FstBlockC( gb+1 );
if ( gb != jb )/* Exclude diagonal block. */
++bmod[lb];/* Mod. count for back solve */
if ( kseen == 0 && myrow != jbrow ) {
++nbrecvx;
kseen = 1;
}
} else {
len = Urb_indptr[lb];/* Start fstnz in index */
}
jj = j - fsupc;
index[len+jj] = irow;
} /* if myrow == pr ... */
} /* for i ... */
} /* for j ... */
/* Figure out how many nonzeros in each block, and gather
the initial values of A from SPA into Uval. */
for (lb = 0; lb < nrbu; ++lb) {
if ( rb_marker[lb] == jb + 1 ) { /* Not an empty block. */
index = Ufstnz_br_ptr[lb];
uval = Unzval_br_ptr[lb];
len = Urb_indptr[lb];
gb = lb * grid->nprow + myrow;/* Global block number */
k = FstBlockC( gb+1 );
irow = ilsum[lb] - FstBlockC( gb );
for (jj=0, bnnz=0, dense_col=dense; jj < nsupc; ++jj) {
j = index[len+jj]; /* First nonzero in segment. */
bnnz += k - j;
for (i = j; i < k; ++i) {
uval[Urb_length[lb]++] = dense_col[irow + i];
dense_col[irow + i] = zero;
}
dense_col += ldaspa;
}
index[len-1] = bnnz; /* Set block length in Descriptor */
Urb_indptr[lb] += nsupc;
}
} /* for lb ... */
#if ( PROFlevel>=1 )
t_u += SuperLU_timer_() - t;
t = SuperLU_timer_();
#endif
/*------------------------------------------------
* SET UP L BLOCKS.
*------------------------------------------------*/
/* Count number of blocks and length of each block. */
nrbl = 0;
len = 0; /* Number of row subscripts I own. */
kseen = 0;
istart = xlsub[fsupc];
for (i = istart; i < xlsub[fsupc+1]; ++i) {
irow = lsub[i];
gb = BlockNum( irow ); /* Global block number */
pr = PROW( gb, grid ); /* Process row owning this block */
if ( pr != jbrow )
fsendx_plist[ljb][pr] = YES;
if ( myrow == pr ) {
lb = LBi( gb, grid ); /* Local block number */
if (rb_marker[lb] <= jb) { /* First see this block */
rb_marker[lb] = jb + 1;
Lrb_length[lb] = 1;
Lrb_number[nrbl++] = gb;
if ( gb != jb ) /* Exclude diagonal block. */
++fmod[lb]; /* Mod. count for forward solve */
if ( kseen == 0 && myrow != jbrow ) {
++nfrecvx;
kseen = 1;
}
#if ( PRNTlevel>=1 )
++nLblocks;
#endif
} else {
++Lrb_length[lb];
}
++len;
}
} /* for i ... */
if ( nrbl ) { /* Do not ensure the blocks are sorted! */
/* Set up the initial pointers for each block in
index[] and nzval[]. */
/* Add room for descriptors */
len1 = len + BC_HEADER + nrbl * LB_DESCRIPTOR;
if ( !(index = intMalloc_dist(len1)) )
ABORT("Malloc fails for index[]");
Lrowind_bc_ptr[ljb] = index;
if (!(Lnzval_bc_ptr[ljb] =
doubleMalloc_dist(len*nsupc))) {
fprintf(stderr, "col block %d ", jb);
ABORT("Malloc fails for Lnzval_bc_ptr[*][]");
}
mybufmax[0] = SUPERLU_MAX( mybufmax[0], len1 );
mybufmax[1] = SUPERLU_MAX( mybufmax[1], len*nsupc );
mybufmax[4] = SUPERLU_MAX( mybufmax[4], len );
index[0] = nrbl; /* Number of row blocks */
index[1] = len; /* LDA of the nzval[] */
next_lind = BC_HEADER;
next_lval = 0;
for (k = 0; k < nrbl; ++k) {
gb = Lrb_number[k];
lb = LBi( gb, grid );
len = Lrb_length[lb];
Lrb_length[lb] = 0; /* Reset vector of block length */
index[next_lind++] = gb; /* Descriptor */
index[next_lind++] = len;
Lrb_indptr[lb] = next_lind;
Lrb_valptr[lb] = next_lval;
next_lind += len;
next_lval += len;
}
/* Propagate the compressed row subscripts to Lindex[],
and the initial values of A from SPA into Lnzval[]. */
lusup = Lnzval_bc_ptr[ljb];
len = index[1]; /* LDA of lusup[] */
for (i = istart; i < xlsub[fsupc+1]; ++i) {
irow = lsub[i];
gb = BlockNum( irow );
if ( myrow == PROW( gb, grid ) ) {
lb = LBi( gb, grid );
k = Lrb_indptr[lb]++; /* Random access a block */
index[k] = irow;
k = Lrb_valptr[lb]++;
irow = ilsum[lb] + irow - FstBlockC( gb );
for (j = 0, dense_col = dense; j < nsupc; ++j) {
lusup[k] = dense_col[irow];
dense_col[irow] = zero;
k += len;
dense_col += ldaspa;
}
}
} /* for i ... */
} else {
Lrowind_bc_ptr[ljb] = NULL;
Lnzval_bc_ptr[ljb] = NULL;
} /* if nrbl ... */
#if ( PROFlevel>=1 )
t_l += SuperLU_timer_() - t;
#endif
} /* if mycol == pc */
} /* for jb ... */
Llu->Lrowind_bc_ptr = Lrowind_bc_ptr;
Llu->Lnzval_bc_ptr = Lnzval_bc_ptr;
Llu->Ufstnz_br_ptr = Ufstnz_br_ptr;
Llu->Unzval_br_ptr = Unzval_br_ptr;
Llu->ToRecv = ToRecv;
Llu->ToSendD = ToSendD;
Llu->ToSendR = ToSendR;
Llu->fmod = fmod;
Llu->fsendx_plist = fsendx_plist;
Llu->nfrecvx = nfrecvx;
Llu->bmod = bmod;
Llu->bsendx_plist = bsendx_plist;
Llu->nbrecvx = nbrecvx;
Llu->ilsum = ilsum;
Llu->ldalsum = ldaspa;
#if ( PRNTlevel>=1 )
if ( !iam ) printf(".. # L blocks %d\t# U blocks %d\n",
nLblocks, nUblocks);
#endif
SUPERLU_FREE(rb_marker);
SUPERLU_FREE(Urb_length);
SUPERLU_FREE(Urb_indptr);
SUPERLU_FREE(Lrb_length);
SUPERLU_FREE(Lrb_number);
SUPERLU_FREE(Lrb_indptr);
SUPERLU_FREE(Lrb_valptr);
SUPERLU_FREE(dense);
/* Find the maximum buffer size. */
MPI_Allreduce(mybufmax, Llu->bufmax, NBUFFERS, mpi_int_t,
MPI_MAX, grid->comm);
#if ( PROFlevel>=1 )
if ( !iam ) printf(".. 1st distribute time: L %.2f\tU %.2f\tu_blks %d\tnrbu %d\n",
t_l, t_u, u_blks, nrbu);
#endif
} /* else fact != SamePattern_SameRowPerm */
SUPERLU_FREE(xa);
SUPERLU_FREE(asub);
SUPERLU_FREE(a);
#if ( DEBUGlevel>=1 )
/* Memory allocated but not freed:
ilsum, fmod, fsendx_plist, bmod, bsendx_plist */
CHECK_MALLOC(iam, "Exit pddistribute()");
#endif
return (mem_use);
} /* PDDISTRIBUTE */
void
pdgstrsL(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 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, *tempv;
double *rtemp; /* Result of full matrix-vector multiply. */
int_t **Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
int_t iam, kcol, krow, mycol, myrow;
int_t i, ii, il, j, jj, k, lb, ljb, lk, lptr, luptr;
int_t nb, nlb, nub, nsupers;
int_t *xsup, *supno, *lsub, *usub;
int_t *ilsum; /* Starting position of each supernode in lsum (LOCAL)*/
int_t Pc, Pr;
int knsupc, nsupr;
int ldalsum; /* Number of lsum entries locally owned. */
int maxrecvsz, p, pi;
int_t **Lrowind_bc_ptr;
double **Lnzval_bc_ptr;
MPI_Status status;
#ifdef ISEND_IRECV
MPI_Request *send_req, recv_req;
#endif
pxgstrs_comm_t *gstrs_comm = SOLVEstruct->gstrs_comm;
/*-- 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 **fsendx_plist = Llu->fsendx_plist;
int_t nfrecvx = Llu->nfrecvx; /* Number of X components to be recv'd. */
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 nfrecvmod = 0; /* Count of total modifications to be recv'd. */
int_t nleaf = 0, nroot = 0;
double t;
#if ( DEBUGlevel>=2 )
int_t Ublocks = 0;
#endif
int_t *mod_bit = Llu->mod_bit; /* flag contribution from each row block */
t = SuperLU_timer_();
/* Test input parameters. */
*info = 0;
if ( n < 0 ) *info = -1;
else if ( nrhs < 0 ) *info = -9;
if ( *info ) {
pxerbla("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;
nlb = CEILING( nsupers, Pr ); /* Number of local block rows. */
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter pdgstrsL()");
#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)) )
ABORT("Calloc fails for fmod[].");
for (i = 0; i < nlb; ++i) fmod[i] = Llu->fmod[i];
if ( !(frecv = intMalloc_dist(nlb)) )
ABORT("Malloc fails for frecv[].");
Llu->frecv = frecv;
#ifdef ISEND_IRECV
k = SUPERLU_MAX( Llu->nfsendx, Llu->nbsendx ) + nlb;
if ( !(send_req = (MPI_Request*) SUPERLU_MALLOC(k*sizeof(MPI_Request))) )
ABORT("Malloc fails for send_req[].");
#endif
#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 );
if ( !(lsum = doubleCalloc_dist(((size_t)ldalsum)*nrhs + nlb*LSUM_H)) )
ABORT("Calloc fails for lsum[].");
if ( !(x = doubleMalloc_dist(ldalsum * nrhs + nlb * XK_H)) )
ABORT("Malloc fails for x[].");
if ( !(recvbuf = doubleMalloc_dist(maxrecvsz)) )
ABORT("Malloc fails for recvbuf[].");
if ( !(rtemp = doubleCalloc_dist(maxrecvsz)) )
ABORT("Malloc fails for rtemp[].");
/*---------------------------------------------------
* Forward solve Ly = b.
*---------------------------------------------------*/
/* Redistribute B into X on the diagonal processes. */
pdReDistribute_B_to_X(B, m_loc, nrhs, ldb, fst_row, ilsum, x,
ScalePermstruct, Glu_persist, grid, SOLVEstruct);
/* Set up the headers in lsum[]. */
ii = 0;
for (k = 0; k < nsupers; ++k) {
knsupc = SuperSize( k );
krow = PROW( k, grid );
if ( myrow == krow ) {
lk = LBi( k, grid ); /* Local block number. */
il = LSUM_BLK( lk );
lsum[il - LSUM_H] = k; /* Block number prepended in the header. */
}
ii += knsupc;
}
/*
* Compute frecv[] and nfrecvmod counts on the diagonal processes.
*/
{
superlu_scope_t *scp = &grid->rscp;
for (k = 0; k < nlb; ++k) mod_bit[k] = 0;
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 && fmod[lk] )
mod_bit[lk] = 1; /* contribution from off-diagonal */
}
}
/*PrintInt10("mod_bit", nlb, mod_bit);*/
#if ( PROFlevel>=2 )
t_reduce_tmp = SuperLU_timer_();
#endif
/* Every process receives the count, but it is only useful on the
diagonal processes. */
MPI_Allreduce( mod_bit, frecv, nlb, mpi_int_t, MPI_SUM, scp->comm );
#if ( PROFlevel>=2 )
t_reduce += SuperLU_timer_() - t_reduce_tmp;
#endif
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 */
nfrecvmod += frecv[lk];
if ( !frecv[lk] && !fmod[lk] ) ++nleaf;
}
}
}
}
/* ---------------------------------------------------------
Solve the leaf nodes first by all the diagonal processes.
--------------------------------------------------------- */
#if ( DEBUGlevel>=2 )
printf("(%2d) nleaf %4d\n", iam, nleaf);
#endif
for (k = 0; k < nsupers && nleaf; ++k) {
krow = PROW( k, grid );
kcol = PCOL( k, grid );
if ( myrow == krow && mycol == kcol ) { /* Diagonal process */
knsupc = SuperSize( k );
lk = LBi( k, grid );
if ( frecv[lk]==0 && fmod[lk]==0 ) {
fmod[lk] = -1; /* Do not solve X[k] in the future. */
ii = X_BLK( lk );
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
nsupr = lsub[1];
#ifdef _CRAY
STRSM(ftcs1, ftcs1, ftcs2, ftcs3, &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#elif defined (USE_VENDOR_BLAS)
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc, 1, 1, 1, 1);
#else
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#endif
stat->ops[SOLVE] += knsupc * (knsupc - 1) * nrhs;
--nleaf;
#if ( DEBUGlevel>=2 )
printf("(%2d) Solve X[%2d]\n", iam, k);
#endif
/*
* Send Xk to process column Pc[k].
*/
for (p = 0; p < Pr; ++p) {
if ( fsendx_plist[lk][p] != EMPTY ) {
pi = PNUM( p, kcol, grid );
#ifdef ISEND_IRECV
MPI_Isend( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm,
&send_req[Llu->SolveMsgSent++]);
#else
MPI_Send( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm );
#endif
#if ( DEBUGlevel>=2 )
printf("(%2d) Sent X[%2.0f] to P %2d\n",
iam, x[ii-XK_H], pi);
#endif
}
}
/*
* Perform local block modifications: lsum[i] -= L_i,k * X[k]
*/
nb = lsub[0] - 1;
lptr = BC_HEADER + LB_DESCRIPTOR + knsupc;
luptr = knsupc; /* Skip diagonal block L(k,k). */
dlsum_fmod(lsum, x, &x[ii], rtemp, nrhs, knsupc, k,
fmod, nb, lptr, luptr, xsup, grid, Llu,
send_req, stat);
}
} /* if diagonal process ... */
} /* for k ... */
/* -----------------------------------------------------------
Compute the internal nodes asynchronously by all processes.
----------------------------------------------------------- */
#if ( DEBUGlevel>=2 )
printf("(%2d) nfrecvx %4d, nfrecvmod %4d, nleaf %4d\n",
iam, nfrecvx, nfrecvmod, nleaf);
#endif
while ( nfrecvx || nfrecvmod ) { /* While not finished. */
/* Receive a message. */
#ifdef ISEND_IRECV
/* -MPI- FATAL: Remote protocol queue full */
MPI_Irecv( recvbuf, maxrecvsz, MPI_DOUBLE,
MPI_ANY_SOURCE, MPI_ANY_TAG, grid->comm, &recv_req );
MPI_Wait( &recv_req, &status );
#else
MPI_Recv( recvbuf, maxrecvsz, MPI_DOUBLE,
MPI_ANY_SOURCE, MPI_ANY_TAG, grid->comm, &status );
#endif
k = *recvbuf;
#if ( DEBUGlevel>=2 )
printf("(%2d) Recv'd block %d, tag %2d\n", iam, k, status.MPI_TAG);
#endif
switch ( status.MPI_TAG ) {
case Xk:
--nfrecvx;
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
if ( lsub ) {
nb = lsub[0];
lptr = BC_HEADER;
luptr = 0;
knsupc = SuperSize( k );
/*
* Perform local block modifications: lsum[i] -= L_i,k * X[k]
*/
dlsum_fmod(lsum, x, &recvbuf[XK_H], rtemp, nrhs, knsupc, k,
fmod, nb, lptr, luptr, xsup, grid, Llu,
send_req, stat);
} /* if lsub */
break;
case LSUM: /* Receiver must be a diagonal process */
--nfrecvmod;
lk = LBi( k, grid ); /* Local block number, row-wise. */
ii = X_BLK( lk );
knsupc = SuperSize( k );
tempv = &recvbuf[LSUM_H];
RHS_ITERATE(j) {
for (i = 0; i < knsupc; ++i)
x[i + ii + j*knsupc] += tempv[i + j*knsupc];
}
if ( (--frecv[lk])==0 && fmod[lk]==0 ) {
fmod[lk] = -1; /* Do not solve X[k] in the future. */
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
nsupr = lsub[1];
#ifdef _CRAY
STRSM(ftcs1, ftcs1, ftcs2, ftcs3, &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#elif defined (USE_VENDOR_BLAS)
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc, 1, 1, 1, 1);
#else
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#endif
stat->ops[SOLVE] += knsupc * (knsupc - 1) * nrhs;
#if ( DEBUGlevel>=2 )
printf("(%2d) Solve X[%2d]\n", iam, k);
#endif
/*
* Send Xk to process column Pc[k].
*/
kcol = PCOL( k, grid );
for (p = 0; p < Pr; ++p) {
if ( fsendx_plist[lk][p] != EMPTY ) {
pi = PNUM( p, kcol, grid );
#ifdef ISEND_IRECV
MPI_Isend( &x[ii-XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm,
&send_req[Llu->SolveMsgSent++]);
#else
MPI_Send( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm );
#endif
#if ( DEBUGlevel>=2 )
printf("(%2d) Sent X[%2.0f] to P %2d\n",
iam, x[ii-XK_H], pi);
#endif
}
}
/*
* Perform local block modifications.
*/
nb = lsub[0] - 1;
lptr = BC_HEADER + LB_DESCRIPTOR + knsupc;
luptr = knsupc; /* Skip diagonal block L(k,k). */
dlsum_fmod(lsum, x, &x[ii], rtemp, nrhs, knsupc, k,
fmod, nb, lptr, luptr, xsup, grid, Llu,
send_req, stat);
} /* if */
break;
#if ( DEBUGlevel>=2 )
default:
printf("(%2d) Recv'd wrong message tag %4d\n", status.MPI_TAG);
break;
#endif
} /* switch */
} /* while not finished ... */
#if ( PRNTlevel>=2 )
t = SuperLU_timer_() - t;
if ( !iam ) printf(".. L-solve time\t%8.2f\n", t);
t = SuperLU_timer_();
#endif
#if ( DEBUGlevel==2 )
{
printf("(%d) .. After L-solve: y =\n", iam);
for (i = 0, k = 0; k < nsupers; ++k) {
krow = PROW( k, grid );
kcol = PCOL( k, grid );
if ( myrow == krow && mycol == kcol ) { /* Diagonal process */
knsupc = SuperSize( k );
lk = LBi( k, grid );
ii = X_BLK( lk );
for (j = 0; j < knsupc; ++j)
printf("\t(%d)\t%4d\t%.10f\n", iam, xsup[k]+j, x[ii+j]);
fflush(stdout);
}
MPI_Barrier( grid->comm );
}
}
#endif
SUPERLU_FREE(fmod);
SUPERLU_FREE(frecv);
SUPERLU_FREE(rtemp);
#ifdef ISEND_IRECV
for (i = 0; i < Llu->SolveMsgSent; ++i) MPI_Request_free(&send_req[i]);
Llu->SolveMsgSent = 0;
#endif
/* Re-distribute X on the diagonal processes to B distributed on all
the processes. */
pdReDistribute_X_to_B(n, B, m_loc, ldb, fst_row, nrhs, x, ilsum,
ScalePermstruct, Glu_persist, grid, SOLVEstruct);
/* Deallocate storage. */
SUPERLU_FREE(lsum);
SUPERLU_FREE(x);
SUPERLU_FREE(recvbuf);
#ifdef ISEND_IRECV
for (i = 0; i < Llu->SolveMsgSent; ++i) MPI_Request_free(&send_req[i]);
SUPERLU_FREE(send_req);
#endif
stat->utime[SOLVE] = SuperLU_timer_() - t;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Exit pdgstrsL()");
#endif
} /* PDGSTRS */
void
pdgstrs_Bglobal(int_t n, LUstruct_t *LUstruct, gridinfo_t *grid,
double *B, int_t ldb, int nrhs,
SuperLUStat_t *stat, int *info)
{
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
double alpha = 1.0;
double *lsum; /* Local running sum of the updates to B-components */
double *x; /* X component at step k. */
double *lusup, *dest;
double *recvbuf, *tempv;
double *rtemp; /* Result of full matrix-vector multiply. */
int_t **Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
int_t *Urbs, *Urbs1; /* Number of row blocks in each block column of U. */
Ucb_indptr_t **Ucb_indptr;/* Vertical linked list pointing to Uindex[] */
int_t **Ucb_valptr; /* Vertical linked list pointing to Unzval[] */
int_t iam, kcol, krow, mycol, myrow;
int_t i, ii, il, j, jj, k, lb, ljb, lk, lptr, luptr;
int_t nb, nlb, nub, nsupers;
int_t *xsup, *lsub, *usub;
int_t *ilsum; /* Starting position of each supernode in lsum (LOCAL)*/
int_t Pc, Pr;
int knsupc, nsupr;
int ldalsum; /* Number of lsum entries locally owned. */
int maxrecvsz, p, pi;
int_t **Lrowind_bc_ptr;
double **Lnzval_bc_ptr;
MPI_Status status;
#if defined (ISEND_IRECV) || defined (BSEND)
MPI_Request *send_req, recv_req;
#endif
/*-- Counts used for L-solve --*/
int_t *fmod; /* Modification count for L-solve. */
int_t **fsendx_plist = Llu->fsendx_plist;
int_t nfrecvx = Llu->nfrecvx; /* Number of X components to be recv'd. */
int_t *frecv; /* Count of modifications to be recv'd from
processes in this row. */
int_t nfrecvmod = 0; /* Count of total modifications to be recv'd. */
int_t nleaf = 0, nroot = 0;
/*-- Counts used for U-solve --*/
int_t *bmod; /* Modification count for L-solve. */
int_t **bsendx_plist = Llu->bsendx_plist;
int_t nbrecvx = Llu->nbrecvx; /* Number of X components to be recv'd. */
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. */
double t;
#if ( DEBUGlevel>=2 )
int_t Ublocks = 0;
#endif
int_t *mod_bit = Llu->mod_bit; /* flag contribution from each row block */
t = SuperLU_timer_();
/* Test input parameters. */
*info = 0;
if ( n < 0 ) *info = -1;
else if ( nrhs < 0 ) *info = -9;
if ( *info ) {
pxerbla("PDGSTRS_BGLOBAL", grid, -*info);
return;
}
/*
* Initialization.
*/
iam = grid->iam;
Pc = grid->npcol;
Pr = grid->nprow;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
nsupers = Glu_persist->supno[n-1] + 1;
xsup = Glu_persist->xsup;
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
nlb = CEILING( nsupers, Pr ); /* Number of local block rows. */
stat->ops[SOLVE] = 0.0;
Llu->SolveMsgSent = 0;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter pdgstrs_Bglobal()");
#endif
/* Save the count to be altered so it can be used by
subsequent call to PDGSTRS_BGLOBAL. */
if ( !(fmod = intMalloc_dist(nlb)) )
ABORT("Calloc fails for fmod[].");
for (i = 0; i < nlb; ++i) fmod[i] = Llu->fmod[i];
if ( !(frecv = intMalloc_dist(nlb)) )
ABORT("Malloc fails for frecv[].");
Llu->frecv = frecv;
#if defined (ISEND_IRECV) || defined (BSEND)
k = SUPERLU_MAX( Llu->nfsendx, Llu->nbsendx ) + nlb;
if ( !(send_req = (MPI_Request*) SUPERLU_MALLOC(k*sizeof(MPI_Request))) )
ABORT("Malloc fails for send_req[].");
#endif
#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 );
if ( !(lsum = doubleCalloc_dist(((size_t)ldalsum) * nrhs
+ nlb * LSUM_H)) )
ABORT("Calloc fails for lsum[].");
if ( !(x = doubleMalloc_dist(((size_t)ldalsum) * nrhs
+ nlb * XK_H)) )
ABORT("Malloc fails for x[].");
if ( !(recvbuf = doubleMalloc_dist(maxrecvsz)) )
ABORT("Malloc fails for recvbuf[].");
if ( !(rtemp = doubleCalloc_dist(maxrecvsz)) )
ABORT("Malloc fails for rtemp[].");
/*---------------------------------------------------
* Forward solve Ly = b.
*---------------------------------------------------*/
/*
* Copy B into X on the diagonal processes.
*/
ii = 0;
for (k = 0; k < nsupers; ++k) {
knsupc = SuperSize( k );
krow = PROW( k, grid );
if ( myrow == krow ) {
lk = LBi( k, grid ); /* Local block number. */
il = LSUM_BLK( lk );
lsum[il - LSUM_H] = k; /* Block number prepended in the header. */
kcol = PCOL( k, grid );
if ( mycol == kcol ) { /* Diagonal process. */
jj = X_BLK( lk );
x[jj - XK_H] = k; /* Block number prepended in the header. */
RHS_ITERATE(j)
for (i = 0; i < knsupc; ++i) /* X is stored in blocks. */
x[i + jj + j*knsupc] = B[i + ii + j*ldb];
}
}
void pdgstrs1(int_t n, LUstruct_t *LUstruct, gridinfo_t *grid,
double *x, int nrhs, SuperLUStat_t *stat, int *info)
{
/*
* Purpose
* =======
*
* PDGSTRS1 solves a system of distributed linear equations
*
* op( sub(A) ) * X = sub( B )
*
* with a general N-by-N distributed matrix sub( A ) using the LU
* factorization computed by PDGSTRF.
*
* Arguments
* =========
*
* n (input) int (global)
* The order of the system of linear equations.
*
* LUstruct (input) LUstruct_t*
* The distributed data structures to store L and U factors,
* and the permutation vectors.
* See superlu_ddefs.h for the definition of 'LUstruct_t' structure.
*
* grid (input) gridinfo_t*
* The 2D process mesh.
*
* x (input/output) double*
* On entry, the right hand side matrix.
* On exit, the solution matrix if info = 0;
*
* NOTE: the right-hand side matrix is already distributed on
* the diagonal processes.
*
* nrhs (input) int (global)
* Number of right-hand sides.
*
* stat (output) SuperLUStat_t*
* Record the statistics about the triangular solves;
* See SuperLUStat_t structure defined in util.h.
*
* info (output) int*
* = 0: successful exit
* < 0: if info = -i, the i-th argument had an illegal value
*
*/
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
double alpha = 1.0;
double *lsum; /* Local running sum of the updates to B-components */
double *lusup, *dest;
double *recvbuf, *tempv;
double *rtemp; /* Result of full matrix-vector multiply. */
int_t **Ufstnz_br_ptr = Llu->Ufstnz_br_ptr;
int_t *Urbs, *Urbs1; /* Number of row blocks in each block column of U. */
Ucb_indptr_t **Ucb_indptr;/* Vertical linked list pointing to Uindex[] */
int_t **Ucb_valptr; /* Vertical linked list pointing to Unzval[] */
int_t iam, kcol, krow, mycol, myrow;
int_t i, ii, il, j, k, lb, ljb, lk, lptr, luptr;
int_t nb, nlb, nub, nsupers;
int_t *xsup, *lsub, *usub;
int_t *ilsum; /* Starting position of each supernode in lsum (LOCAL)*/
int_t Pc, Pr;
int knsupc, nsupr;
int ldalsum; /* Number of lsum entries locally owned. */
int maxrecvsz, p, pi;
int_t **Lrowind_bc_ptr;
double **Lnzval_bc_ptr;
MPI_Status status;
#ifdef ISEND_IRECV
MPI_Request *send_req, recv_req;
#endif
/*-- Counts used for L-solve --*/
int_t *fmod; /* Modification count for L-solve. */
int_t **fsendx_plist = Llu->fsendx_plist;
int_t nfrecvx = Llu->nfrecvx; /* Number of X components to be recv'd. */
int_t *frecv; /* Count of modifications to be recv'd from
processes in this row. */
int_t nfrecvmod = 0; /* Count of total modifications to be recv'd. */
int_t nleaf = 0, nroot = 0;
/*-- Counts used for U-solve --*/
int_t *bmod; /* Modification count for L-solve. */
int_t **bsendx_plist = Llu->bsendx_plist;
int_t nbrecvx = Llu->nbrecvx; /* Number of X components to be recv'd. */
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. */
double t;
#if ( DEBUGlevel>=2 )
int_t Ublocks = 0;
#endif
t = SuperLU_timer_();
/* Test input parameters. */
*info = 0;
if ( n < 0 ) *info = -1;
else if ( nrhs < 0 ) *info = -8;
if ( *info ) {
pxerbla("PDGSTRS1", grid, -*info);
return;
}
/*
* Initialization.
*/
iam = grid->iam;
Pc = grid->npcol;
Pr = grid->nprow;
myrow = MYROW( iam, grid );
mycol = MYCOL( iam, grid );
nsupers = Glu_persist->supno[n-1] + 1;
xsup = Glu_persist->xsup;
Lrowind_bc_ptr = Llu->Lrowind_bc_ptr;
Lnzval_bc_ptr = Llu->Lnzval_bc_ptr;
nlb = CEILING( nsupers, Pr ); /* Number of local block rows. */
Llu->SolveMsgSent = 0;
#if ( DEBUGlevel>=1 )
CHECK_MALLOC(iam, "Enter pdgstrs1()");
#endif
/* Save the count to be altered so it can be used by
subsequent call to PDGSTRS1. */
if ( !(fmod = intMalloc_dist(nlb)) )
ABORT("Calloc fails for fmod[].");
for (i = 0; i < nlb; ++i) fmod[i] = Llu->fmod[i];
if ( !(frecv = intMalloc_dist(nlb)) )
ABORT("Malloc fails for frecv[].");
Llu->frecv = frecv;
#ifdef ISEND_IRECV
k = SUPERLU_MAX( Llu->nfsendx, Llu->nbsendx ) + nlb;
if ( !(send_req = (MPI_Request*) SUPERLU_MALLOC(k*sizeof(MPI_Request))) )
ABORT("Malloc fails for send_req[].");
#endif
#ifdef _CRAY
ftcs1 = _cptofcd("L", strlen("L"));
ftcs2 = _cptofcd("N", strlen("N"));
ftcs3 = _cptofcd("U", strlen("U"));
#endif
/* Compute ilsum[] and ldalsum for process column 0. */
ilsum = Llu->ilsum;
ldalsum = Llu->ldalsum;
/* Allocate working storage. */
knsupc = sp_ienv_dist(3);
if ( !(lsum = doubleCalloc_dist(((size_t)ldalsum) * nrhs
+ nlb * LSUM_H)) )
ABORT("Calloc fails for lsum[].");
maxrecvsz = knsupc * nrhs + SUPERLU_MAX(XK_H, LSUM_H);
if ( !(recvbuf = doubleMalloc_dist(maxrecvsz)) )
ABORT("Malloc fails for recvbuf[].");
if ( !(rtemp = doubleCalloc_dist(maxrecvsz)) )
ABORT("Malloc fails for rtemp[].");
/*---------------------------------------------------
* Forward solve Ly = b.
*---------------------------------------------------*/
/*
* Prepended the block number in the header for lsum[].
*/
for (k = 0; k < nsupers; ++k) {
knsupc = SuperSize( k );
krow = PROW( k, grid );
if ( myrow == krow ) {
lk = LBi( k, grid ); /* Local block number. */
il = LSUM_BLK( lk );
lsum[il - LSUM_H] = k;
}
}
/*
* Compute frecv[] and nfrecvmod counts on the diagonal processes.
*/
{
superlu_scope_t *scp = &grid->rscp;
for (k = 0; k < nsupers; ++k) {
krow = PROW( k, grid );
if ( myrow == krow ) {
lk = LBi( k, grid ); /* Local block number. */
kcol = PCOL( k, grid ); /* Root process in this row scope. */
if ( mycol != kcol && fmod[lk] )
i = 1; /* Contribution from non-diagonal process. */
else i = 0;
MPI_Reduce( &i, &frecv[lk], 1, mpi_int_t,
MPI_SUM, kcol, scp->comm );
if ( mycol == kcol ) { /* Diagonal process. */
nfrecvmod += frecv[lk];
if ( !frecv[lk] && !fmod[lk] ) ++nleaf;
#if ( DEBUGlevel>=2 )
printf("(%2d) frecv[%4d] %2d\n", iam, k, frecv[lk]);
assert( frecv[lk] < Pc );
#endif
}
}
}
}
/* ---------------------------------------------------------
Solve the leaf nodes first by all the diagonal processes.
--------------------------------------------------------- */
#if ( DEBUGlevel>=2 )
printf("(%2d) nleaf %4d\n", iam, nleaf);
#endif
for (k = 0; k < nsupers && nleaf; ++k) {
krow = PROW( k, grid );
kcol = PCOL( k, grid );
if ( myrow == krow && mycol == kcol ) { /* Diagonal process */
knsupc = SuperSize( k );
lk = LBi( k, grid );
if ( !frecv[lk] && !fmod[lk] ) {
fmod[lk] = -1; /* Do not solve X[k] in the future. */
ii = X_BLK( lk );
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
nsupr = lsub[1];
#ifdef _CRAY
STRSM(ftcs1, ftcs1, ftcs2, ftcs3, &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#elif defined (USE_VENDOR_BLAS)
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc, 1, 1, 1, 1);
#else
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#endif
/*stat->ops[SOLVE] += knsupc * (knsupc - 1) * nrhs;*/
--nleaf;
#if ( DEBUGlevel>=2 )
printf("(%2d) Solve X[%2d]\n", iam, k);
#endif
/*
* Send Xk to process column Pc[k].
*/
for (p = 0; p < Pr; ++p)
if ( fsendx_plist[lk][p] != EMPTY ) {
pi = PNUM( p, kcol, grid );
#ifdef ISEND_IRECV
MPI_Isend( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm,
&send_req[Llu->SolveMsgSent++]);
#else
MPI_Send( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE,
pi, Xk, grid->comm );
#endif
#if ( DEBUGlevel>=2 )
printf("(%2d) Sent X[%2.0f] to P %2d\n",
iam, x[ii-XK_H], pi);
#endif
}
/*
* Perform local block modifications: lsum[i] -= L_i,k * X[k]
*/
nb = lsub[0] - 1;
lptr = BC_HEADER + LB_DESCRIPTOR + knsupc;
luptr = knsupc; /* Skip diagonal block L(k,k). */
dlsum_fmod(lsum, x, &x[ii], rtemp, nrhs, knsupc, k,
fmod, nb, lptr, luptr, xsup, grid, Llu,
send_req, stat);
}
} /* if diagonal process ... */
} /* for k ... */
/*
* Compute the internal nodes asynchronously by all processes.
*/
#if ( DEBUGlevel>=2 )
printf("(%2d) nfrecvx %4d, nfrecvmod %4d, nleaf %4d\n",
iam, nfrecvx, nfrecvmod, nleaf);
#endif
while ( nfrecvx || nfrecvmod ) { /* While not finished. */
/* Receive a message. */
#ifdef ISEND_IRECV
/* -MPI- FATAL: Remote protocol queue full */
MPI_Irecv( recvbuf, maxrecvsz, MPI_DOUBLE, MPI_ANY_SOURCE,
MPI_ANY_TAG, grid->comm, &recv_req );
MPI_Wait( &recv_req, &status );
#else
MPI_Recv( recvbuf, maxrecvsz, MPI_DOUBLE, MPI_ANY_SOURCE,
MPI_ANY_TAG, grid->comm, &status );
#endif
k = *recvbuf;
#if ( DEBUGlevel>=2 )
printf("(%2d) Recv'd block %d, tag %2d\n", iam, k, status.MPI_TAG);
#endif
switch ( status.MPI_TAG ) {
case Xk:
--nfrecvx;
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
if ( lsub ) {
nb = lsub[0];
lptr = BC_HEADER;
luptr = 0;
knsupc = SuperSize( k );
/*
* Perform local block modifications: lsum[i] -= L_i,k * X[k]
*/
dlsum_fmod(lsum, x, &recvbuf[XK_H], rtemp, nrhs, knsupc, k,
fmod, nb, lptr, luptr, xsup, grid, Llu,
send_req, stat);
} /* if lsub */
break;
case LSUM:
--nfrecvmod;
lk = LBi( k, grid ); /* Local block number, row-wise. */
ii = X_BLK( lk );
knsupc = SuperSize( k );
tempv = &recvbuf[LSUM_H];
RHS_ITERATE(j)
for (i = 0; i < knsupc; ++i)
x[i + ii + j*knsupc] += tempv[i + j*knsupc];
if ( (--frecv[lk])==0 && fmod[lk]==0 ) {
fmod[lk] = -1; /* Do not solve X[k] in the future. */
lk = LBj( k, grid ); /* Local block number, column-wise. */
lsub = Lrowind_bc_ptr[lk];
lusup = Lnzval_bc_ptr[lk];
nsupr = lsub[1];
#ifdef _CRAY
STRSM(ftcs1, ftcs1, ftcs2, ftcs3, &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#elif defined (USE_VENDOR_BLAS)
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc, 1, 1, 1, 1);
#else
dtrsm_("L", "L", "N", "U", &knsupc, &nrhs, &alpha,
lusup, &nsupr, &x[ii], &knsupc);
#endif
/*stat->ops[SOLVE] += knsupc * (knsupc - 1) * nrhs;*/
#if ( DEBUGlevel>=2 )
printf("(%2d) Solve X[%2d]\n", iam, k);
#endif
/*
* Send Xk to process column Pc[k].
*/
kcol = PCOL( k, grid );
for (p = 0; p < Pr; ++p)
if ( fsendx_plist[lk][p] != EMPTY ) {
pi = PNUM( p, kcol, grid );
#ifdef ISEND_IRECV
MPI_Isend( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm,
&send_req[Llu->SolveMsgSent++] );
#else
MPI_Send( &x[ii - XK_H], knsupc * nrhs + XK_H,
MPI_DOUBLE, pi, Xk, grid->comm );
#endif
#if ( DEBUGlevel>=2 )
printf("(%2d) Sent X[%2.0f] to P %2d\n",
iam, x[ii-XK_H], pi);
#endif
}
/*
* Perform local block modifications.
*/
nb = lsub[0] - 1;
lptr = BC_HEADER + LB_DESCRIPTOR + knsupc;
luptr = knsupc; /* Skip diagonal block L(k,k). */
dlsum_fmod(lsum, x, &x[ii], rtemp, nrhs, knsupc, k,
fmod, nb, lptr, luptr, xsup, grid, Llu,
send_req, stat);
} /* if */
break;
#if ( DEBUGlevel>=2 )
default:
printf("(%2d) Recv'd wrong message tag %4d\n", status.MPI_TAG);
break;
#endif
} /* switch */
} /* while not finished ... */
#if ( PRNTlevel>=2 )
t = SuperLU_timer_() - t;
if ( !iam ) printf(".. L-solve time\t%8.2f\n", t);
t = SuperLU_timer_();
#endif
#if ( DEBUGlevel>=2 )
if ( !iam ) printf("\n.. After L-solve: y =\n");
for (i = 0, k = 0; k < nsupers; ++k) {
krow = PROW( k, grid );
kcol = PCOL( k, grid );
if ( myrow == krow && mycol == kcol ) { /* Diagonal process */
knsupc = SuperSize( k );
lk = LBi( k, grid );
ii = X_BLK( lk );
for (j = 0; j < knsupc; ++j)
printf("\t(%d)\t%4d\t%.10f\n", iam, xsup[k]+j, x[ii+j]);
}
MPI_Barrier( grid->comm );
}
#endif
SUPERLU_FREE(fmod);
SUPERLU_FREE(frecv);
SUPERLU_FREE(rtemp);
#ifdef ISEND_IRECV
for (i = 0; i < Llu->SolveMsgSent; ++i) MPI_Request_free(&send_req[i]);
Llu->SolveMsgSent = 0;
#endif
/*---------------------------------------------------
* Back solve Ux = y.
*
* The Y components from the forward solve is already
* on the diagonal processes.
*---------------------------------------------------*/
/* Save the count to be altered so it can be used by
subsequent call to PDGSTRS1. */
if ( !(bmod = intMalloc_dist(nlb)) )
ABORT("Calloc fails for bmod[].");
for (i = 0; i < nlb; ++i) bmod[i] = Llu->bmod[i];
if ( !(brecv = intMalloc_dist(nlb)) )
ABORT("Malloc fails for brecv[].");
Llu->brecv = brecv;
/*
* Compute brecv[] and nbrecvmod counts on the diagonal processes.
*/
{
superlu_scope_t *scp = &grid->rscp;
for (k = 0; k < nsupers; ++k) {
krow = PROW( k, grid );
if ( myrow == krow ) {
lk = LBi( k, grid ); /* Local block number. */
kcol = PCOL( k, grid ); /* Root process in this row scope. */
if ( mycol != kcol && bmod[lk] )
i = 1; /* Contribution from non-diagonal process. */
else i = 0;
MPI_Reduce( &i, &brecv[lk], 1, mpi_int_t,
MPI_SUM, kcol, scp->comm );
if ( mycol == kcol ) { /* Diagonal process. */
nbrecvmod += brecv[lk];
if ( !brecv[lk] && !bmod[lk] ) ++nroot;
#if ( DEBUGlevel>=2 )
printf("(%2d) brecv[%4d] %2d\n", iam, k, brecv[lk]);
assert( brecv[lk] < Pc );
#endif
}
}
}
}
/* Re-initialize lsum to zero. Each block header is already in place. */
for (k = 0; k < nsupers; ++k) {
krow = PROW( k, grid );
if ( myrow == krow ) {
knsupc = SuperSize( k );
lk = LBi( k, grid );
il = LSUM_BLK( lk );
dest = &lsum[il];
RHS_ITERATE(j)
for (i = 0; i < knsupc; ++i) dest[i + j*knsupc] = 0.0;
}
}
