kusano 7d535a
kusano 7d535a
/*
kusano 7d535a
 * -- SuperLU routine (version 3.0) --
kusano 7d535a
 * Univ. of California Berkeley, Xerox Palo Alto Research Center,
kusano 7d535a
 * and Lawrence Berkeley National Lab.
kusano 7d535a
 * October 15, 2003
kusano 7d535a
 *
kusano 7d535a
 */
kusano 7d535a
#include "slu_ddefs.h"
kusano 7d535a
kusano 7d535a
main(int argc, char *argv[])
kusano 7d535a
{
kusano 7d535a
/*
kusano 7d535a
 * Purpose
kusano 7d535a
 * =======
kusano 7d535a
 *
kusano 7d535a
 * The driver program DLINSOLX1.
kusano 7d535a
 *
kusano 7d535a
 * This example illustrates how to use DGSSVX to solve systems with the same
kusano 7d535a
 * A but different right-hand side.
kusano 7d535a
 * In this case, we factorize A only once in the first call to DGSSVX,
kusano 7d535a
 * and reuse the following data structures in the subsequent call to DGSSVX:
kusano 7d535a
 *     perm_c, perm_r, R, C, L, U.
kusano 7d535a
 * 
kusano 7d535a
 */
kusano 7d535a
    char           equed[1];
kusano 7d535a
    yes_no_t       equil;
kusano 7d535a
    trans_t        trans;
kusano 7d535a
    SuperMatrix    A, L, U;
kusano 7d535a
    SuperMatrix    B, X;
kusano 7d535a
    NCformat       *Astore;
kusano 7d535a
    NCformat       *Ustore;
kusano 7d535a
    SCformat       *Lstore;
kusano 7d535a
    double         *a;
kusano 7d535a
    int            *asub, *xa;
kusano 7d535a
    int            *perm_c; /* column permutation vector */
kusano 7d535a
    int            *perm_r; /* row permutations from partial pivoting */
kusano 7d535a
    int            *etree;
kusano 7d535a
    void           *work;
kusano 7d535a
    int            info, lwork, nrhs, ldx;
kusano 7d535a
    int            i, m, n, nnz;
kusano 7d535a
    double         *rhsb, *rhsx, *xact;
kusano 7d535a
    double         *R, *C;
kusano 7d535a
    double         *ferr, *berr;
kusano 7d535a
    double         u, rpg, rcond;
kusano 7d535a
    mem_usage_t    mem_usage;
kusano 7d535a
    superlu_options_t options;
kusano 7d535a
    SuperLUStat_t stat;
kusano 7d535a
    extern void    parse_command_line();
kusano 7d535a
kusano 7d535a
#if ( DEBUGlevel>=1 )
kusano 7d535a
    CHECK_MALLOC("Enter main()");
kusano 7d535a
#endif
kusano 7d535a
kusano 7d535a
    /* Defaults */
kusano 7d535a
    lwork = 0;
kusano 7d535a
    nrhs  = 1;
kusano 7d535a
    equil = YES;	
kusano 7d535a
    u     = 1.0;
kusano 7d535a
    trans = NOTRANS;
kusano 7d535a
kusano 7d535a
    /* Set the default values for options argument:
kusano 7d535a
	options.Fact = DOFACT;
kusano 7d535a
        options.Equil = YES;
kusano 7d535a
    	options.ColPerm = COLAMD;
kusano 7d535a
	options.DiagPivotThresh = 1.0;
kusano 7d535a
    	options.Trans = NOTRANS;
kusano 7d535a
    	options.IterRefine = NOREFINE;
kusano 7d535a
    	options.SymmetricMode = NO;
kusano 7d535a
    	options.PivotGrowth = NO;
kusano 7d535a
    	options.ConditionNumber = NO;
kusano 7d535a
    	options.PrintStat = YES;
kusano 7d535a
    */
kusano 7d535a
    set_default_options(&options);
kusano 7d535a
kusano 7d535a
    /* Can use command line input to modify the defaults. */
kusano 7d535a
    parse_command_line(argc, argv, &lwork, &u, &equil, &trans);
kusano 7d535a
    options.Equil = equil;
kusano 7d535a
    options.DiagPivotThresh = u;
kusano 7d535a
    options.Trans = trans;
kusano 7d535a
    
kusano 7d535a
    if ( lwork > 0 ) {
kusano 7d535a
	work = SUPERLU_MALLOC(lwork);
kusano 7d535a
	if ( !work ) {
kusano 7d535a
	    ABORT("DLINSOLX: cannot allocate work[]");
kusano 7d535a
	}
kusano 7d535a
    }
kusano 7d535a
kusano 7d535a
    /* Read matrix A from a file in Harwell-Boeing format.*/
kusano 7d535a
    dreadhb(&m, &n, &nnz, &a, &asub, &xa);
kusano 7d535a
    
kusano 7d535a
    dCreate_CompCol_Matrix(&A, m, n, nnz, a, asub, xa, SLU_NC, SLU_D, SLU_GE);
kusano 7d535a
    Astore = A.Store;
kusano 7d535a
    printf("Dimension %dx%d; # nonzeros %d\n", A.nrow, A.ncol, Astore->nnz);
kusano 7d535a
    
kusano 7d535a
    if ( !(rhsb = doubleMalloc(m * nrhs)) ) ABORT("Malloc fails for rhsb[].");
kusano 7d535a
    if ( !(rhsx = doubleMalloc(m * nrhs)) ) ABORT("Malloc fails for rhsx[].");
kusano 7d535a
    dCreate_Dense_Matrix(&B, m, nrhs, rhsb, m, SLU_DN, SLU_D, SLU_GE);
kusano 7d535a
    dCreate_Dense_Matrix(&X, m, nrhs, rhsx, m, SLU_DN, SLU_D, SLU_GE);
kusano 7d535a
    xact = doubleMalloc(n * nrhs);
kusano 7d535a
    ldx = n;
kusano 7d535a
    dGenXtrue(n, nrhs, xact, ldx);
kusano 7d535a
    dFillRHS(trans, nrhs, xact, ldx, &A, &B);
kusano 7d535a
    
kusano 7d535a
    if ( !(etree = intMalloc(n)) ) ABORT("Malloc fails for etree[].");
kusano 7d535a
    if ( !(perm_r = intMalloc(m)) ) ABORT("Malloc fails for perm_r[].");
kusano 7d535a
    if ( !(perm_c = intMalloc(n)) ) ABORT("Malloc fails for perm_c[].");
kusano 7d535a
    if ( !(R = (double *) SUPERLU_MALLOC(A.nrow * sizeof(double))) ) 
kusano 7d535a
        ABORT("SUPERLU_MALLOC fails for R[].");
kusano 7d535a
    if ( !(C = (double *) SUPERLU_MALLOC(A.ncol * sizeof(double))) )
kusano 7d535a
        ABORT("SUPERLU_MALLOC fails for C[].");
kusano 7d535a
    if ( !(ferr = (double *) SUPERLU_MALLOC(nrhs * sizeof(double))) )
kusano 7d535a
        ABORT("SUPERLU_MALLOC fails for ferr[].");
kusano 7d535a
    if ( !(berr = (double *) SUPERLU_MALLOC(nrhs * sizeof(double))) ) 
kusano 7d535a
        ABORT("SUPERLU_MALLOC fails for berr[].");
kusano 7d535a
kusano 7d535a
    /* Initialize the statistics variables. */
kusano 7d535a
    StatInit(&stat);
kusano 7d535a
    
kusano 7d535a
    /* ONLY PERFORM THE LU DECOMPOSITION */
kusano 7d535a
    B.ncol = 0;  /* Indicate not to solve the system */
kusano 7d535a
    dgssvx(&options, &A, perm_c, perm_r, etree, equed, R, C,
kusano 7d535a
           &L, &U, work, lwork, &B, &X, &rpg, &rcond, ferr, berr,
kusano 7d535a
           &mem_usage, &stat, &info);
kusano 7d535a
kusano 7d535a
    printf("LU factorization: dgssvx() returns info %d\n", info);
kusano 7d535a
kusano 7d535a
    if ( info == 0 || info == n+1 ) {
kusano 7d535a
kusano 7d535a
	if ( options.PivotGrowth ) printf("Recip. pivot growth = %e\n", rpg);
kusano 7d535a
	if ( options.ConditionNumber )
kusano 7d535a
	    printf("Recip. condition number = %e\n", rcond);
kusano 7d535a
        Lstore = (SCformat *) L.Store;
kusano 7d535a
        Ustore = (NCformat *) U.Store;
kusano 7d535a
	printf("No of nonzeros in factor L = %d\n", Lstore->nnz);
kusano 7d535a
    	printf("No of nonzeros in factor U = %d\n", Ustore->nnz);
kusano 7d535a
    	printf("No of nonzeros in L+U = %d\n", Lstore->nnz + Ustore->nnz - n);
kusano 7d535a
    	printf("FILL ratio = %.1f\n", (float)(Lstore->nnz + Ustore->nnz - n)/nnz);
kusano 7d535a
kusano 7d535a
	printf("L\\U MB %.3f\ttotal MB needed %.3f\n",
kusano 7d535a
	       mem_usage.for_lu/1e6, mem_usage.total_needed/1e6);
kusano 7d535a
	fflush(stdout);
kusano 7d535a
kusano 7d535a
    } else if ( info > 0 && lwork == -1 ) {
kusano 7d535a
        printf("** Estimated memory: %d bytes\n", info - n);
kusano 7d535a
    }
kusano 7d535a
kusano 7d535a
    if ( options.PrintStat ) StatPrint(&stat);
kusano 7d535a
    StatFree(&stat);
kusano 7d535a
kusano 7d535a
    /* ------------------------------------------------------------
kusano 7d535a
       NOW WE SOLVE THE LINEAR SYSTEM USING THE FACTORED FORM OF A.
kusano 7d535a
       ------------------------------------------------------------*/
kusano 7d535a
    options.Fact = FACTORED; /* Indicate the factored form of A is supplied. */
kusano 7d535a
    B.ncol = nrhs;  /* Set the number of right-hand side */
kusano 7d535a
kusano 7d535a
    /* Initialize the statistics variables. */
kusano 7d535a
    StatInit(&stat);
kusano 7d535a
kusano 7d535a
    dgssvx(&options, &A, perm_c, perm_r, etree, equed, R, C,
kusano 7d535a
           &L, &U, work, lwork, &B, &X, &rpg, &rcond, ferr, berr,
kusano 7d535a
           &mem_usage, &stat, &info);
kusano 7d535a
kusano 7d535a
    printf("Triangular solve: dgssvx() returns info %d\n", info);
kusano 7d535a
kusano 7d535a
    if ( info == 0 || info == n+1 ) {
kusano 7d535a
kusano 7d535a
        /* This is how you could access the solution matrix. */
kusano 7d535a
        double *sol = (double*) ((DNformat*) X.Store)->nzval; 
kusano 7d535a
kusano 7d535a
	if ( options.IterRefine ) {
kusano 7d535a
            printf("Iterative Refinement:\n");
kusano 7d535a
	    printf("%8s%8s%16s%16s\n", "rhs", "Steps", "FERR", "BERR");
kusano 7d535a
	    for (i = 0; i < nrhs; ++i)
kusano 7d535a
	      printf("%8d%8d%16e%16e\n", i+1, stat.RefineSteps, ferr[i], berr[i]);
kusano 7d535a
	}
kusano 7d535a
	fflush(stdout);
kusano 7d535a
    } else if ( info > 0 && lwork == -1 ) {
kusano 7d535a
        printf("** Estimated memory: %d bytes\n", info - n);
kusano 7d535a
    }
kusano 7d535a
kusano 7d535a
    if ( options.PrintStat ) StatPrint(&stat);
kusano 7d535a
    StatFree(&stat);
kusano 7d535a
kusano 7d535a
    SUPERLU_FREE (rhsb);
kusano 7d535a
    SUPERLU_FREE (rhsx);
kusano 7d535a
    SUPERLU_FREE (xact);
kusano 7d535a
    SUPERLU_FREE (etree);
kusano 7d535a
    SUPERLU_FREE (perm_r);
kusano 7d535a
    SUPERLU_FREE (perm_c);
kusano 7d535a
    SUPERLU_FREE (R);
kusano 7d535a
    SUPERLU_FREE (C);
kusano 7d535a
    SUPERLU_FREE (ferr);
kusano 7d535a
    SUPERLU_FREE (berr);
kusano 7d535a
    Destroy_CompCol_Matrix(&A);
kusano 7d535a
    Destroy_SuperMatrix_Store(&B);
kusano 7d535a
    Destroy_SuperMatrix_Store(&X);
kusano 7d535a
    if ( lwork == 0 ) {
kusano 7d535a
        Destroy_SuperNode_Matrix(&L);
kusano 7d535a
        Destroy_CompCol_Matrix(&U);
kusano 7d535a
    } else if ( lwork > 0 ) {
kusano 7d535a
        SUPERLU_FREE(work);
kusano 7d535a
    }
kusano 7d535a
kusano 7d535a
kusano 7d535a
#if ( DEBUGlevel>=1 )
kusano 7d535a
    CHECK_MALLOC("Exit main()");
kusano 7d535a
#endif
kusano 7d535a
}
kusano 7d535a
kusano 7d535a
/*  
kusano 7d535a
 * Parse command line options to get relaxed snode size, panel size, etc.
kusano 7d535a
 */
kusano 7d535a
void
kusano 7d535a
parse_command_line(int argc, char *argv[], int *lwork,
kusano 7d535a
                   double *u, yes_no_t *equil, trans_t *trans )
kusano 7d535a
{
kusano 7d535a
    int c;
kusano 7d535a
    extern char *optarg;
kusano 7d535a
kusano 7d535a
    while ( (c = getopt(argc, argv, "hl:u:e:t:")) != EOF ) {
kusano 7d535a
	switch (c) {
kusano 7d535a
	  case 'h':
kusano 7d535a
	    printf("Options:\n");
kusano 7d535a
	    printf("\t-l <int> - length of work[*] array\n");</int>
kusano 7d535a
	    printf("\t-u <int> - pivoting threshold\n");</int>
kusano 7d535a
	    printf("\t-e <0 or 1> - equilibrate or not\n");
kusano 7d535a
	    printf("\t-t <0 or 1> - solve transposed system or not\n");
kusano 7d535a
	    exit(1);
kusano 7d535a
	    break;
kusano 7d535a
	  case 'l': *lwork = atoi(optarg);
kusano 7d535a
	            break;
kusano 7d535a
	  case 'u': *u = atof(optarg); 
kusano 7d535a
	            break;
kusano 7d535a
	  case 'e': *equil = atoi(optarg); 
kusano 7d535a
	            break;
kusano 7d535a
	  case 't': *trans = atoi(optarg);
kusano 7d535a
	            break;
kusano 7d535a
  	}
kusano 7d535a
    }
kusano 7d535a
}