/*
* -- SuperLU MT routine (version 1.0) --
* Univ. of California Berkeley, Xerox Palo Alto Research Center,
* and Lawrence Berkeley National Lab.
* August 15, 1997
*
*/
#include "pdsp_defs.h"
#include "util.h"
main(int argc, char *argv[])
{
SuperMatrix A, L, U;
SuperMatrix B, X;
NCformat *Astore;
SCPformat *Lstore;
NCPformat *Ustore;
int nprocs;
fact_t fact;
trans_t trans;
yes_no_t refact, usepr;
equed_t equed;
double *a;
int *asub, *xa;
int *perm_c; /* column permutation vector */
int *perm_r; /* row permutations from partial pivoting */
void *work;
pdgstrf_options_t pdgstrf_options;
int info, lwork, nrhs, ldx, panel_size, relax;
int m, n, nnz, permc_spec;
int i, firstfact;
double *rhsb, *rhsx, *xact;
double *R, *C;
double *ferr, *berr;
double u, drop_tol, rpg, rcond;
superlu_memusage_t superlu_memusage;
void parse_command_line();
/* Default parameters to control factorization. */
nprocs = 1;
fact = DOFACT;
trans = NOTRANS;
equed = NOEQUIL;
refact= NO;
panel_size = sp_ienv(1);
relax = sp_ienv(2);
u = 1.0;
usepr = NO;
drop_tol = 0.0;
lwork = 0;
nrhs = 1;
/* Command line options to modify default behavior. */
parse_command_line(argc, argv, &nprocs, &lwork, &panel_size, &relax,
&u, &fact, &trans, &refact, &equed);
if ( lwork > 0 ) {
work = SUPERLU_MALLOC(lwork);
printf("Use work space of size LWORK = %d bytes\n", lwork);
if ( !work ) {
ABORT("DLINSOLX: cannot allocate work[]");
}
}
#if ( PRNTlevel==1 )
cpp_defs();
#endif
#define HB
#if defined( DEN )
m = n;
nnz = n * n;
dband(n, n, nnz, &a, &asub, &xa);
#elif defined( BAND )
m = n;
nnz = (2*b+1) * n;
dband(n, b, nnz, &a, &asub, &xa);
#elif defined( BD )
nb = 5;
bs = 200;
m = n = bs * nb;
nnz = bs * bs * nb;
dblockdiag(nb, bs, nnz, &a, &asub, &xa);
#elif defined( HB )
dreadhb(&m, &n, &nnz, &a, &asub, &xa);
#else
dreadmt(&m, &n, &nnz, &a, &asub, &xa);
#endif
firstfact = (fact == FACTORED || refact == YES);
dCreate_CompCol_Matrix(&A, m, n, nnz, a, asub, xa, SLU_NC, SLU_D, SLU_GE);
Astore = A.Store;
printf("Dimension %dx%d; # nonzeros %d\n", A.nrow, A.ncol, Astore->nnz);
if ( !(rhsb = doubleMalloc(m * nrhs)) ) ABORT("Malloc fails for rhsb[].");
if ( !(rhsx = doubleMalloc(m * nrhs)) ) ABORT("Malloc fails for rhsx[].");
dCreate_Dense_Matrix(&B, m, nrhs, rhsb, m, SLU_DN, SLU_D, SLU_GE);
dCreate_Dense_Matrix(&X, m, nrhs, rhsx, m, SLU_DN, SLU_D, SLU_GE);
xact = doubleMalloc(n * nrhs);
ldx = n;
dGenXtrue(n, nrhs, xact, ldx);
dFillRHS(trans, nrhs, xact, ldx, &A, &B);
if ( !(perm_r = intMalloc(m)) ) ABORT("Malloc fails for perm_r[].");
if ( !(perm_c = intMalloc(n)) ) ABORT("Malloc fails for perm_c[].");
if ( !(R = (double *) SUPERLU_MALLOC(A.nrow * sizeof(double))) )
ABORT("SUPERLU_MALLOC fails for R[].");
if ( !(C = (double *) SUPERLU_MALLOC(A.ncol * sizeof(double))) )
ABORT("SUPERLU_MALLOC fails for C[].");
if ( !(ferr = (double *) SUPERLU_MALLOC(nrhs * sizeof(double))) )
ABORT("SUPERLU_MALLOC fails for ferr[].");
if ( !(berr = (double *) SUPERLU_MALLOC(nrhs * sizeof(double))) )
ABORT("SUPERLU_MALLOC fails for berr[].");
/*
* Get column permutation vector perm_c[], according to permc_spec:
* permc_spec = 0: natural ordering
* permc_spec = 1: minimum degree ordering on structure of A'*A
* permc_spec = 2: minimum degree ordering on structure of A'+A
* permc_spec = 3: approximate minimum degree for unsymmetric matrices
*/
permc_spec = 1;
get_perm_c(permc_spec, &A, perm_c);
pdgstrf_options.nprocs = nprocs;
pdgstrf_options.fact = fact;
pdgstrf_options.trans = trans;
pdgstrf_options.refact = refact;
pdgstrf_options.panel_size = panel_size;
pdgstrf_options.relax = relax;
pdgstrf_options.diag_pivot_thresh = u;
pdgstrf_options.usepr = usepr;
pdgstrf_options.drop_tol = drop_tol;
pdgstrf_options.perm_c = perm_c;
pdgstrf_options.perm_r = perm_r;
pdgstrf_options.work = work;
pdgstrf_options.lwork = lwork;
/*
* Solve the system and compute the condition number
* and error bounds using pdgssvx.
*/
pdgssvx(nprocs, &pdgstrf_options, &A, perm_c, perm_r,
&equed, R, C, &L, &U, &B, &X, &rpg, &rcond,
ferr, berr, &superlu_memusage, &info);
printf("pdgssvx(): info %d\n", info);
if ( info == 0 || info == n+1 ) {
printf("Recip. pivot growth = %e\n", rpg);
printf("Recip. condition number = %e\n", rcond);
printf("%8s%16s%16s\n", "rhs", "FERR", "BERR");
for (i = 0; i < nrhs; ++i) {
printf("%8d%16e%16e\n", i+1, ferr[i], berr[i]);
}
Lstore = (SCPformat *) L.Store;
Ustore = (NCPformat *) U.Store;
printf("No of nonzeros in factor L = %d\n", Lstore->nnz);
printf("No of nonzeros in factor U = %d\n", Ustore->nnz);
printf("No of nonzeros in L+U = %d\n", Lstore->nnz + Ustore->nnz - n);
printf("L\\U MB %.3f\ttotal MB needed %.3f\texpansions %d\n",
superlu_memusage.for_lu/1e6, superlu_memusage.total_needed/1e6,
superlu_memusage.expansions);
fflush(stdout);
} else if ( info > 0 && lwork == -1 ) {
printf("** Estimated memory: %d bytes\n", info - n);
}
SUPERLU_FREE (rhsb);
SUPERLU_FREE (rhsx);
SUPERLU_FREE (xact);
SUPERLU_FREE (perm_r);
SUPERLU_FREE (perm_c);
SUPERLU_FREE (R);
SUPERLU_FREE (C);
SUPERLU_FREE (ferr);
SUPERLU_FREE (berr);
Destroy_CompCol_Matrix(&A);
Destroy_SuperMatrix_Store(&B);
Destroy_SuperMatrix_Store(&X);
if ( lwork >= 0 ) {
Destroy_SuperNode_SCP(&L);
Destroy_CompCol_NCP(&U);
}
}
/*
* Parse command line options.
*/
void
parse_command_line(int argc, char *argv[], int *nprocs, int *lwork,
int *w, int *relax, double *u, fact_t *fact,
trans_t *trans, yes_no_t *refact, equed_t *equed)
{
int c;
extern char *optarg;
while ( (c = getopt(argc, argv, "hp:l:w:x:u:f:t:r:e:")) != EOF ) {
switch (c) {
case 'h':
printf("Options:\n");
printf("\t-p <int> - number of processes\n");
printf("\t-l <int> - length of work[*] array\n");
printf("\t-w <int> - panel size\n");
printf("\t-x <int> - maximum size of relaxed supernodes\n");
printf("\t-u <int> - pivoting threshold\n");
printf("\t-f <FACTORED/DOFACT/EQUILIBRATE> - factor control\n");
printf("\t-t <NOTRANS/TRANS/CONJ> - transpose or not\n");
printf("\t-r <NO/YES> - refactor or not\n");
printf("\t-e <NOEQUIL/ROW/COL/BOTH> - equilibrate or not\n");
exit(1);
break;
case 'p': *nprocs = atoi(optarg);
break;
case 'l': *lwork = atoi(optarg);
break;
case 'w': *w = atoi(optarg);
break;
case 'x': *relax = atoi(optarg);
break;
case 'u': *u = atof(optarg);
break;
case 'f': *fact = (fact_t) atoi(optarg);
break;
case 't': *trans = (trans_t) atoi(optarg);
break;
case 'r': *refact = (yes_no_t) atoi(optarg);
break;
case 'e': *equed = (equed_t) atoi(optarg);
break;
default: fprintf(stderr, "Invalid command line option.\n");
break;
}
}
}
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