int main()
{
clock_t start, finish;
double duration;
int *array_data;
int i;
array_data = (int*) malloc (sizeof(int)*ARRAY_SIZE);
if (array_data == NULL)
{
printf("memory(array_bitmap) allocate failed\n");
goto _free_mem;
}
printf("Generate the test data...\n");
srand(time(0));
for (i = 0; i < ARRAY_SIZE; i++)
{
array_data[i] = bigrand()%RAND_MAX;
}
printf("Sorting data...\n");
start = clock();
isort1(array_data, ARRAY_SIZE);
finish = clock();
duration = (double)(finish - start) / CLOCKS_PER_SEC;
printf("Test data number is %d\n", ARRAY_SIZE);
printf("the duration is %f seconds\n\n", duration);
_free_mem:
if (array_data != NULL)
{
free(array_data);
array_data = NULL;
}
return 0;
}
int
static_schedule(superlu_options_t * options, int m, int n,
LUstruct_t * LUstruct, gridinfo_t * grid, SuperLUStat_t * stat,
int_t *perm_c_supno, int_t *iperm_c_supno, int *info)
{
int_t *xsup;
int_t i, ib, jb, lb, nlb, il, iu;
int_t Pc, Pr;
int iam, krow, yourcol, mycol, myrow;
int j, k, nsupers; /* k - current panel to work on */
int_t *index;
Glu_persist_t *Glu_persist = LUstruct->Glu_persist;
LocalLU_t *Llu = LUstruct->Llu;
int ncb, nrb, p, pr, pc, nblocks;
int_t *etree_supno_l, *etree_supno, *blocks, *blockr, *Ublock, *Urows,
*Lblock, *Lrows, *sf_block, *sf_block_l, *nnodes_l,
*nnodes_u, *edag_supno_l, *recvbuf, **edag_supno;
float edag_supno_l_bytes;
int nnodes, *sendcnts, *sdispls, *recvcnts, *rdispls, *srows, *rrows;
etree_node *head, *tail, *ptr;
int *num_child;
int iword = sizeof (int_t);
/* 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;
nblocks = 0;
ncb = nsupers / Pc;
nrb = nsupers / Pr;
#if ( DEBUGlevel >= 1 )
print_memorylog(stat, "before static schedule");
#endif
/* ================================================== *
* static scheduling of j-th step of LU-factorization *
* ================================================== */
if (options->lookahead_etree == YES && /* use e-tree of symmetrized matrix and */
(options->ParSymbFact == NO || /* 1) symmetric fact with serial symbolic, or */
(options->SymPattern == YES && /* 2) symmetric pattern, and */
options->RowPerm == NOROWPERM))) { /* no rowperm to destroy symmetry */
/* if symmetric pattern or using e-tree of |A^T|+|A|,
then we can use a simple tree structure for static schduling */
if (options->ParSymbFact == NO) {
/* Use the etree computed from serial symb. fact., and turn it
into supernodal tree. */
int_t *etree = LUstruct->etree;
#if ( PRNTlevel>=1 )
if (grid->iam == 0)
printf (" === using column e-tree ===\n");
#endif
/* look for the first off-diagonal blocks */
etree_supno = SUPERLU_MALLOC (nsupers * sizeof (int_t));
log_memory(nsupers * iword, stat);
for (i = 0; i < nsupers; i++) etree_supno[i] = nsupers;
for (j = 0, lb = 0; lb < nsupers; lb++) {
for (k = 0; k < SuperSize (lb); k++) {
jb = Glu_persist->supno[etree[j + k]];
if (jb != lb)
etree_supno[lb] = SUPERLU_MIN (etree_supno[lb], jb);
}
j += SuperSize (lb);
}
} else { /* ParSymbFACT==YES and SymPattern==YES and RowPerm == NOROWPERM */
/* Compute an "etree" based on struct(L),
assuming struct(U) = struct(L'). */
#if ( PRNTlevel>=1 )
if (grid->iam == 0)
printf (" === using supernodal e-tree ===\n");
#endif
/* find the first block in each supernodal-column of local L-factor */
etree_supno_l = SUPERLU_MALLOC (nsupers * sizeof (int_t));
log_memory(nsupers * iword, stat);
for (i = 0; i < nsupers; i++) etree_supno_l[i] = nsupers;
for (lb = 0; lb < ncb; lb++) {
jb = lb * grid->npcol + mycol;
index = Llu->Lrowind_bc_ptr[lb];
if (index) { /* Not an empty column */
i = index[0];
k = BC_HEADER;
krow = PROW (jb, grid);
if (krow == myrow) { /* skip the diagonal block */
k += LB_DESCRIPTOR + index[k + 1];
i--;
}
if (i > 0)
{
etree_supno_l[jb] = index[k];
k += LB_DESCRIPTOR + index[k + 1];
i--;
}
for (j = 0; j < i; j++)
{
etree_supno_l[jb] =
SUPERLU_MIN (etree_supno_l[jb], index[k]);
k += LB_DESCRIPTOR + index[k + 1];
}
}
}
if (mycol < nsupers % grid->npcol) {
jb = ncb * grid->npcol + mycol;
index = Llu->Lrowind_bc_ptr[ncb];
if (index) { /* Not an empty column */
i = index[0];
k = BC_HEADER;
krow = PROW (jb, grid);
if (krow == myrow) { /* skip the diagonal block */
k += LB_DESCRIPTOR + index[k + 1];
i--;
}
if (i > 0) {
etree_supno_l[jb] = index[k];
k += LB_DESCRIPTOR + index[k + 1];
i--;
}
for (j = 0; j < i; j++) {
etree_supno_l[jb] =
SUPERLU_MIN (etree_supno_l[jb], index[k]);
k += LB_DESCRIPTOR + index[k + 1];
}
}
}
/* form global e-tree */
etree_supno = SUPERLU_MALLOC (nsupers * sizeof (int_t));
MPI_Allreduce (etree_supno_l, etree_supno, nsupers, mpi_int_t,
MPI_MIN, grid->comm);
SUPERLU_FREE (etree_supno_l);
}
/* initialize number of children for each node */
num_child = SUPERLU_MALLOC (nsupers * sizeof (int_t));
for (i = 0; i < nsupers; i++) num_child[i] = 0;
for (i = 0; i < nsupers; i++)
if (etree_supno[i] != nsupers) num_child[etree_supno[i]]++;
/* push initial leaves to the fifo queue */
nnodes = 0;
for (i = 0; i < nsupers; i++) {
if (num_child[i] == 0) {
ptr = SUPERLU_MALLOC (sizeof (etree_node));
ptr->id = i;
ptr->next = NULL;
/*printf( " == push leaf %d (%d) ==\n",i,nnodes ); */
nnodes++;
if (nnodes == 1) {
head = ptr;
tail = ptr;
} else {
tail->next = ptr;
tail = ptr;
}
}
}
/* process fifo queue, and compute the ordering */
i = 0;
while (nnodes > 0) {
ptr = head;
j = ptr->id;
head = ptr->next;
perm_c_supno[i] = j;
SUPERLU_FREE (ptr);
i++;
nnodes--;
if (etree_supno[j] != nsupers) {
num_child[etree_supno[j]]--;
if (num_child[etree_supno[j]] == 0) {
nnodes++;
ptr = SUPERLU_MALLOC (sizeof (etree_node));
ptr->id = etree_supno[j];
ptr->next = NULL;
/*printf( "=== push %d ===\n",ptr->id ); */
if (nnodes == 1) {
head = ptr;
tail = ptr;
} else {
tail->next = ptr;
tail = ptr;
}
}
}
/*printf( "\n" ); */
}
SUPERLU_FREE (num_child);
SUPERLU_FREE (etree_supno);
log_memory(-2 * nsupers * iword, stat);
} else { /* Unsymmetric pattern */
/* Need to process both L- and U-factors, use the symmetrically
pruned graph of L & U instead of tree (very naive implementation) */
int nrbp1 = nrb + 1;
float Ublock_bytes, Urows_bytes, Lblock_bytes, Lrows_bytes;
/* allocate some workspace */
if (! (sendcnts = SUPERLU_MALLOC ((4 + 2 * nrbp1) * Pr * Pc * sizeof (int))))
ABORT ("Malloc fails for sendcnts[].");
log_memory((4 + 2 * nrbp1) * Pr * Pc * sizeof (int), stat);
sdispls = &sendcnts[Pr * Pc];
recvcnts = &sdispls[Pr * Pc];
rdispls = &recvcnts[Pr * Pc];
srows = &rdispls[Pr * Pc];
rrows = &srows[Pr * Pc * nrbp1];
myrow = MYROW (iam, grid);
#if ( PRNTlevel>=1 )
if (grid->iam == 0)
printf (" === using DAG ===\n");
#endif
/* send supno block of local U-factor to a processor *
* who owns the corresponding block of L-factor */
/* srows : # of block to send to a processor from each supno row */
/* sendcnts: total # of blocks to send to a processor */
for (p = 0; p < Pr * Pc * nrbp1; p++) srows[p] = 0;
for (p = 0; p < Pr * Pc; p++) sendcnts[p] = 0;
/* sending blocks of U-factors corresponding to L-factors */
/* count the number of blocks to send */
for (lb = 0; lb < nrb; ++lb) {
jb = lb * Pr + myrow;
pc = jb % Pc;
index = Llu->Ufstnz_br_ptr[lb];
if (index) { /* Not an empty row */
k = BR_HEADER;
nblocks += index[0];
for (j = 0; j < index[0]; ++j) {
ib = index[k];
pr = ib % Pr;
p = pr * Pc + pc;
sendcnts[p]++;
srows[p * nrbp1 + lb]++;
k += UB_DESCRIPTOR + SuperSize (index[k]);
}
}
}
if (myrow < nsupers % grid->nprow) {
jb = nrb * Pr + myrow;
pc = jb % Pc;
index = Llu->Ufstnz_br_ptr[nrb];
if (index) { /* Not an empty row */
k = BR_HEADER;
nblocks += index[0];
for (j = 0; j < index[0]; ++j) {
ib = index[k];
pr = ib % Pr;
p = pr * Pc + pc;
sendcnts[p]++;
srows[p * nrbp1 + nrb]++;
k += UB_DESCRIPTOR + SuperSize (index[k]);
}
}
}
/* insert blocks to send */
sdispls[0] = 0;
for (p = 1; p < Pr * Pc; p++) sdispls[p] = sdispls[p - 1] + sendcnts[p - 1];
if (!(blocks = intMalloc_dist (nblocks)))
ABORT ("Malloc fails for blocks[].");
log_memory( nblocks * iword, stat );
for (lb = 0; lb < nrb; ++lb) {
jb = lb * Pr + myrow;
pc = jb % Pc;
index = Llu->Ufstnz_br_ptr[lb];
if (index) { /* Not an empty row */
k = BR_HEADER;
for (j = 0; j < index[0]; ++j) {
ib = index[k];
pr = ib % Pr;
p = pr * Pc + pc;
blocks[sdispls[p]] = ib;
sdispls[p]++;
k += UB_DESCRIPTOR + SuperSize (index[k]);
}
}
}
if (myrow < nsupers % grid->nprow) {
jb = nrb * Pr + myrow;
pc = jb % Pc;
index = Llu->Ufstnz_br_ptr[nrb];
if (index) { /* Not an empty row */
k = BR_HEADER;
for (j = 0; j < index[0]; ++j) {
ib = index[k];
pr = ib % Pr;
p = pr * Pc + pc;
blocks[sdispls[p]] = ib;
sdispls[p]++;
k += UB_DESCRIPTOR + SuperSize (index[k]);
}
}
}
/* communication */
MPI_Alltoall (sendcnts, 1, MPI_INT, recvcnts, 1, MPI_INT, grid->comm);
MPI_Alltoall (srows, nrbp1, MPI_INT, rrows, nrbp1, MPI_INT, grid->comm);
log_memory( -(nblocks * iword), stat ); /* blocks[] to be freed soon */
nblocks = recvcnts[0];
rdispls[0] = sdispls[0] = 0;
for (p = 1; p < Pr * Pc; p++) {
rdispls[p] = rdispls[p - 1] + recvcnts[p - 1];
sdispls[p] = sdispls[p - 1] + sendcnts[p - 1];
nblocks += recvcnts[p];
}
if (!(blockr = intMalloc_dist (nblocks))) ABORT ("Malloc fails for blockr[].");
log_memory( nblocks * iword, stat );
MPI_Alltoallv (blocks, sendcnts, sdispls, mpi_int_t, blockr, recvcnts,
rdispls, mpi_int_t, grid->comm);
SUPERLU_FREE (blocks); /* memory logged before */
/* store the received U-blocks by rows */
nlb = nsupers / Pc;
if (!(Ublock = intMalloc_dist (nblocks))) ABORT ("Malloc fails for Ublock[].");
if (!(Urows = intMalloc_dist (1 + nlb))) ABORT ("Malloc fails for Urows[].");
Ublock_bytes = nblocks * iword;
Urows_bytes = (1 + nlb) * iword;
log_memory( Ublock_bytes + Urows_bytes, stat );
k = 0;
for (jb = 0; jb < nlb; jb++) {
j = jb * Pc + mycol;
pr = j % Pr;
lb = j / Pr;
Urows[jb] = 0;
for (pc = 0; pc < Pc; pc++) {
p = pr * Pc + pc; /* the processor owning this block of U-factor */
for (i = rdispls[p]; i < rdispls[p] + rrows[p * nrbp1 + lb];
i++) {
Ublock[k] = blockr[i];
k++;
Urows[jb]++;
}
rdispls[p] += rrows[p * nrbp1 + lb];
}
/* sort by the column indices to make things easier for later on */
#ifdef ISORT
isort1 (Urows[jb], &(Ublock[k - Urows[jb]]));
#else
qsort (&(Ublock[k - Urows[jb]]), (size_t) (Urows[jb]),
sizeof (int_t), &superlu_sort_perm);
#endif
}
if (mycol < nsupers % grid->npcol) {
j = nlb * Pc + mycol;
pr = j % Pr;
lb = j / Pr;
Urows[nlb] = 0;
for (pc = 0; pc < Pc; pc++) {
p = pr * Pc + pc;
for (i = rdispls[p]; i < rdispls[p] + rrows[p * nrbp1 + lb];
i++) {
Ublock[k] = blockr[i];
k++;
Urows[nlb]++;
}
rdispls[p] += rrows[p * nrb + lb];
}
#ifdef ISORT
isort1 (Urows[nlb], &(Ublock[k - Urows[nlb]]));
#else
qsort (&(Ublock[k - Urows[nlb]]), (size_t) (Urows[nlb]),
sizeof (int_t), &superlu_sort_perm);
#endif
}
SUPERLU_FREE (blockr);
log_memory( -nblocks * iword, stat );
/* sort the block in L-factor */
nblocks = 0;
for (lb = 0; lb < ncb; lb++) {
jb = lb * Pc + mycol;
index = Llu->Lrowind_bc_ptr[lb];
if (index) { /* Not an empty column */
nblocks += index[0];
}
}
if (mycol < nsupers % grid->npcol) {
jb = ncb * Pc + mycol;
index = Llu->Lrowind_bc_ptr[ncb];
if (index) { /* Not an empty column */
nblocks += index[0];
}
}
if (!(Lblock = intMalloc_dist (nblocks))) ABORT ("Malloc fails for Lblock[].");
if (!(Lrows = intMalloc_dist (1 + ncb))) ABORT ("Malloc fails for Lrows[].");
Lblock_bytes = nblocks * iword;
Lrows_bytes = (1 + ncb) * iword;
log_memory(Lblock_bytes + Lrows_bytes, stat);
for (lb = 0; lb <= ncb; lb++) Lrows[lb] = 0;
nblocks = 0;
for (lb = 0; lb < ncb; lb++) {
Lrows[lb] = 0;
jb = lb * Pc + mycol;
index = Llu->Lrowind_bc_ptr[lb];
if (index) { /* Not an empty column */
i = index[0];
k = BC_HEADER;
krow = PROW (jb, grid);
if (krow == myrow) /* skip the diagonal block */
{
k += LB_DESCRIPTOR + index[k + 1];
i--;
}
for (j = 0; j < i; j++) {
Lblock[nblocks] = index[k];
Lrows[lb]++;
nblocks++;
k += LB_DESCRIPTOR + index[k + 1];
}
}
#ifdef ISORT
isort1 (Lrows[lb], &(Lblock[nblocks - Lrows[lb]]));
#else
qsort (&(Lblock[nblocks - Lrows[lb]]), (size_t) (Lrows[lb]),
sizeof (int_t), &superlu_sort_perm);
#endif
}
if (mycol < nsupers % grid->npcol) {
Lrows[ncb] = 0;
jb = ncb * Pc + mycol;
index = Llu->Lrowind_bc_ptr[ncb];
if (index) { /* Not an empty column */
i = index[0];
k = BC_HEADER;
krow = PROW (jb, grid);
if (krow == myrow) { /* skip the diagonal block */
k += LB_DESCRIPTOR + index[k + 1];
i--;
}
for (j = 0; j < i; j++) {
Lblock[nblocks] = index[k];
Lrows[ncb]++;
nblocks++;
k += LB_DESCRIPTOR + index[k + 1];
}
#ifdef ISORT
isort1 (Lrows[ncb], &(Lblock[nblocks - Lrows[ncb]]));
#else
qsort (&(Lblock[nblocks - Lrows[ncb]]), (size_t) (Lrows[ncb]),
sizeof (int_t), &superlu_sort_perm);
#endif
}
}
/* look for the first local symmetric nonzero block match */
if (!(sf_block = intMalloc_dist (nsupers))) ABORT ("Malloc fails for sf_block[].");
if (!(sf_block_l = intMalloc_dist (nsupers))) ABORT ("Malloc fails for sf_block_l[].");
log_memory( 2 * nsupers * iword, stat );
for (lb = 0; lb < nsupers; lb++)
sf_block_l[lb] = nsupers;
i = 0;
j = 0;
for (jb = 0; jb < nlb; jb++) {
if (Urows[jb] > 0) {
ib = i + Urows[jb];
lb = jb * Pc + mycol;
for (k = 0; k < Lrows[jb]; k++) {
while (Ublock[i] < Lblock[j] && i + 1 < ib)
i++;
if (Ublock[i] == Lblock[j]) {
sf_block_l[lb] = Lblock[j];
j += (Lrows[jb] - k);
k = Lrows[jb];
} else {
j++;
}
}
i = ib;
} else {
j += Lrows[jb];
}
}
if (mycol < nsupers % grid->npcol) {
if (Urows[nlb] > 0) {
ib = i + Urows[nlb];
lb = nlb * Pc + mycol;
for (k = 0; k < Lrows[nlb]; k++) {
while (Ublock[i] < Lblock[j] && i + 1 < ib)
i++;
if (Ublock[i] == Lblock[j])
{
sf_block_l[lb] = Lblock[j];
j += (Lrows[nlb] - k);
k = Lrows[nlb];
}
else
{
j++;
}
}
i = ib;
} else {
j += Lrows[nlb];
}
}
/* compute the first global symmetric matchs */
MPI_Allreduce (sf_block_l, sf_block, nsupers, mpi_int_t, MPI_MIN,
grid->comm);
SUPERLU_FREE (sf_block_l);
log_memory( -nsupers * iword, stat );
/* count number of nodes in DAG (i.e., the number of blocks on and above the first match) */
if (!(nnodes_l = intMalloc_dist (nsupers))) ABORT ("Malloc fails for nnodes_l[].");
if (!(nnodes_u = intMalloc_dist (nsupers))) ABORT ("Malloc fails for nnodes_u[].");
log_memory( 2 * nsupers * iword, stat );
for (lb = 0; lb < nsupers; lb++) nnodes_l[lb] = 0;
for (lb = 0; lb < nsupers; lb++) nnodes_u[lb] = 0;
nblocks = 0;
/* from U-factor */
for (i = 0, jb = 0; jb < nlb; jb++) {
lb = jb * Pc + mycol;
ib = i + Urows[jb];
while (i < ib) {
if (Ublock[i] <= sf_block[lb]) {
nnodes_u[lb]++;
i++;
nblocks++;
} else { /* get out */
i = ib;
}
}
i = ib;
}
if (mycol < nsupers % grid->npcol) {
lb = nlb * Pc + mycol;
ib = i + Urows[nlb];
while (i < ib) {
if (Ublock[i] <= sf_block[lb]) {
nnodes_u[lb]++;
i++;
nblocks++;
} else { /* get out */
i = ib;
}
}
i = ib;
}
/* from L-factor */
for (i = 0, jb = 0; jb < nlb; jb++) {
lb = jb * Pc + mycol;
ib = i + Lrows[jb];
while (i < ib) {
if (Lblock[i] < sf_block[lb]) {
nnodes_l[lb]++;
i++;
nblocks++;
} else {
i = ib;
}
}
i = ib;
}
if (mycol < nsupers % grid->npcol) {
lb = nlb * Pc + mycol;
ib = i + Lrows[nlb];
while (i < ib) {
if (Lblock[i] < sf_block[lb]) {
nnodes_l[lb]++;
i++;
nblocks++;
} else {
i = ib;
}
}
i = ib;
}
#ifdef USE_ALLGATHER
/* insert local nodes in DAG */
if (!(edag_supno_l = intMalloc_dist (nsupers + nblocks)))
ABORT ("Malloc fails for edag_supno_l[].");
edag_supno_l_bytes = (nsupers + nblocks) * iword;
log_memory(edag_supno_l_bytes, stat);
iu = il = nblocks = 0;
for (lb = 0; lb < nsupers; lb++) {
j = lb / Pc;
pc = lb % Pc;
edag_supno_l[nblocks] = nnodes_l[lb] + nnodes_u[lb];
nblocks++;
if (mycol == pc) {
/* from U-factor */
ib = iu + Urows[j];
for (jb = 0; jb < nnodes_u[lb]; jb++) {
edag_supno_l[nblocks] = Ublock[iu];
iu++;
nblocks++;
}
iu = ib;
/* from L-factor */
ib = il + Lrows[j];
for (jb = 0; jb < nnodes_l[lb]; jb++) {
edag_supno_l[nblocks] = Lblock[il];
il++;
nblocks++;
}
il = ib;
}
}
SUPERLU_FREE (nnodes_u);
log_memory(-nsupers * iword, stat);
/* form global DAG on each processor */
MPI_Allgather (&nblocks, 1, MPI_INT, recvcnts, 1, MPI_INT,
grid->comm);
nblocks = recvcnts[0];
rdispls[0] = 0;
for (lb = 1; lb < Pc * Pr; lb++) {
rdispls[lb] = nblocks;
nblocks += recvcnts[lb];
}
if (!(recvbuf = intMalloc_dist (nblocks))) ABORT ("Malloc fails for recvbuf[].");
log_memory(nblocks * iword, stat);
MPI_Allgatherv (edag_supno_l, recvcnts[iam], mpi_int_t,
recvbuf, recvcnts, rdispls, mpi_int_t, grid->comm);
SUPERLU_FREE (edag_supno_l);
log_memory(-edag_supno_l_bytes, stat);
if (!(edag_supno = SUPERLU_MALLOC (nsupers * sizeof (int_t *))))
ABORT ("Malloc fails for edag_supno[].");
log_memory(nsupers * iword, stat);
k = 0;
for (lb = 0; lb < nsupers; lb++) nnodes_l[lb] = 0;
for (p = 0; p < Pc * Pr; p++) {
for (lb = 0; lb < nsupers; lb++) {
nnodes_l[lb] += recvbuf[k];
k += (1 + recvbuf[k]);
}
}
for (lb = 0; lb < nsupers; lb++) {
if (nnodes_l[lb] > 0)
if (!(edag_supno[lb] = intMalloc_dist (nnodes_l[lb])))
ABORT ("Malloc fails for edag_supno[lb].");
nnodes_l[lb] = 0;
}
k = 0;
for (p = 0; p < Pc * Pr; p++) {
for (lb = 0; lb < nsupers; lb++) {
jb = k + recvbuf[k] + 1;
k++;
for (; k < jb; k++) {
edag_supno[lb][nnodes_l[lb]] = recvbuf[k];
nnodes_l[lb]++;
}
}
}
SUPERLU_FREE (recvbuf);
log_memory(-nblocks * iword, stat);
#else /* not USE_ALLGATHER */
int nlsupers = nsupers / Pc;
if (mycol < nsupers % Pc) nlsupers++;
/* insert local nodes in DAG */
if (!(edag_supno_l = intMalloc_dist (nlsupers + nblocks)))
ABORT ("Malloc fails for edag_supno_l[].");
edag_supno_l_bytes = (nlsupers + nblocks) * iword;
log_memory(edag_supno_l_bytes, stat);
iu = il = nblocks = 0;
for (lb = 0; lb < nsupers; lb++) {
j = lb / Pc;
pc = lb % Pc;
if (mycol == pc) {
edag_supno_l[nblocks] = nnodes_l[lb] + nnodes_u[lb];
nblocks++;
/* from U-factor */
ib = iu + Urows[j];
for (jb = 0; jb < nnodes_u[lb]; jb++) {
edag_supno_l[nblocks] = Ublock[iu];
iu++;
nblocks++;
}
iu = ib;
/* from L-factor */
ib = il + Lrows[j];
for (jb = 0; jb < nnodes_l[lb]; jb++) {
edag_supno_l[nblocks] = Lblock[il];
il++;
nblocks++;
}
il = ib;
} else if (nnodes_l[lb] + nnodes_u[lb] != 0)
printf (" # %d: nnodes[%d]=%d+%d\n", grid->iam, lb,
nnodes_l[lb], nnodes_u[lb]);
}
SUPERLU_FREE (nnodes_u);
log_memory(-nsupers * iword, stat);
/* form global DAG on each processor */
MPI_Allgather (&nblocks, 1, MPI_INT, recvcnts, 1, MPI_INT, grid->comm);
nblocks = recvcnts[0];
rdispls[0] = 0;
for (lb = 1; lb < Pc * Pr; lb++) {
rdispls[lb] = nblocks;
nblocks += recvcnts[lb];
}
if (!(recvbuf = intMalloc_dist (nblocks))) ABORT ("Malloc fails for recvbuf[].");
log_memory(nblocks * iword, stat);
MPI_Allgatherv (edag_supno_l, recvcnts[iam], mpi_int_t,
recvbuf, recvcnts, rdispls, mpi_int_t, grid->comm);
SUPERLU_FREE (edag_supno_l);
log_memory(-edag_supno_l_bytes, stat);
if (!(edag_supno = SUPERLU_MALLOC (nsupers * sizeof (int_t *))))
ABORT ("Malloc fails for edag_supno[].");
log_memory(nsupers * sizeof(int_t *), stat);
k = 0;
for (lb = 0; lb < nsupers; lb++) nnodes_l[lb] = 0;
for (p = 0; p < Pc * Pr; p++) {
yourcol = MYCOL (p, grid);
for (lb = 0; lb < nsupers; lb++) {
j = lb / Pc;
pc = lb % Pc;
if (yourcol == pc) {
nnodes_l[lb] += recvbuf[k];
k += (1 + recvbuf[k]);
}
}
}
for (lb = 0; lb < nsupers; lb++) {
if (nnodes_l[lb] > 0)
if (!(edag_supno[lb] = intMalloc_dist (nnodes_l[lb])))
ABORT ("Malloc fails for edag_supno[lb].");
nnodes_l[lb] = 0;
}
k = 0;
for (p = 0; p < Pc * Pr; p++) {
yourcol = MYCOL (p, grid);
for (lb = 0; lb < nsupers; lb++) {
j = lb / Pc;
pc = lb % Pc;
if (yourcol == pc)
{
jb = k + recvbuf[k] + 1;
k++;
for (; k < jb; k++)
{
edag_supno[lb][nnodes_l[lb]] = recvbuf[k];
nnodes_l[lb]++;
}
}
}
}
SUPERLU_FREE (recvbuf);
log_memory( -nblocks * iword , stat);
#endif /* end USE_ALL_GATHER */
/* initialize the num of child for each node */
num_child = SUPERLU_MALLOC (nsupers * sizeof (int_t));
for (i = 0; i < nsupers; i++) num_child[i] = 0;
for (i = 0; i < nsupers; i++) {
for (jb = 0; jb < nnodes_l[i]; jb++) {
num_child[edag_supno[i][jb]]++;
}
}
/* push initial leaves to the fifo queue */
nnodes = 0;
for (i = 0; i < nsupers; i++) {
if (num_child[i] == 0) {
ptr = SUPERLU_MALLOC (sizeof (etree_node));
ptr->id = i;
ptr->next = NULL;
/*printf( " == push leaf %d (%d) ==\n",i,nnodes ); */
nnodes++;
if (nnodes == 1) {
head = ptr;
tail = ptr;
} else {
tail->next = ptr;
tail = ptr;
}
}
}
/* process fifo queue, and compute the ordering */
i = 0;
while (nnodes > 0) {
/*printf( "=== pop %d (%d) ===\n",head->id,i ); */
ptr = head;
j = ptr->id;
head = ptr->next;
perm_c_supno[i] = j;
SUPERLU_FREE (ptr);
i++;
nnodes--;
for (jb = 0; jb < nnodes_l[j]; jb++) {
num_child[edag_supno[j][jb]]--;
if (num_child[edag_supno[j][jb]] == 0) {
nnodes++;
ptr = SUPERLU_MALLOC (sizeof (etree_node));
ptr->id = edag_supno[j][jb];
ptr->next = NULL;
/*printf( "=== push %d ===\n",ptr->id ); */
if (nnodes == 1) {
head = ptr;
tail = ptr;
} else {
tail->next = ptr;
tail = ptr;
}
}
}
/*printf( "\n" ); */
}
for (lb = 0; lb < nsupers; lb++)
if (nnodes_l[lb] > 0) SUPERLU_FREE (edag_supno[lb]);
SUPERLU_FREE (num_child);
SUPERLU_FREE (edag_supno);
SUPERLU_FREE (nnodes_l);
SUPERLU_FREE (sf_block);
SUPERLU_FREE (sendcnts);
log_memory(-(4 * nsupers + (4 + 2 * nrbp1)*Pr*Pc) * iword, stat);
SUPERLU_FREE (Ublock);
SUPERLU_FREE (Urows);
SUPERLU_FREE (Lblock);
SUPERLU_FREE (Lrows);
log_memory(-(Ublock_bytes + Urows_bytes + Lblock_bytes + Lrows_bytes), stat);
}
/* ======================== *
* end of static scheduling *
* ======================== */
for (lb = 0; lb < nsupers; lb++) iperm_c_supno[perm_c_supno[lb]] = lb;
#if ( DEBUGlevel >= 1 )
print_memorylog(stat, "after static schedule");
#endif
return 0;
} /* STATIC_SCHEDULE */