dutil.c.bak

LU分解求解矩阵方程组的解

/*
 * -- Distributed SuperLU routine (version 2.0) --
 * Lawrence Berkeley National Lab, Univ. of California Berkeley.
 * March 15, 2003
 *
 */

/*
  Copyright (c) 1994 by Xerox Corporation.  All rights reserved.
 
  THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
  EXPRESSED OR IMPLIED.  ANY USE IS AT YOUR OWN RISK.
 
  Permission is hereby granted to use or copy this program for any
  purpose, provided the above notices are retained on all copies.
  Permission to modify the code and to distribute modified code is
  granted, provided the above notices are retained, and a notice that
  the code was modified is included with the above copyright notice.
*/

#include <math.h>
#include "superlu_ddefs.h"

void
dCreate_CompCol_Matrix_dist(SuperMatrix *A, int_t m, int_t n, int_t nnz, 
			    double *nzval, int_t *rowind, int_t *colptr,
			    Stype_t stype, Dtype_t dtype, Mtype_t mtype)
{
    NCformat *Astore;

    A->Stype = stype;
    A->Dtype = dtype;
    A->Mtype = mtype;
    A->nrow = m;
    A->ncol = n;
    A->Store = (void *) SUPERLU_MALLOC( sizeof(NCformat) );
    if ( !(A->Store) ) ABORT("SUPERLU_MALLOC fails for A->Store");
    Astore = (NCformat *) A->Store;
    Astore->nnz = nnz;
    Astore->nzval = nzval;
    Astore->rowind = rowind;
    Astore->colptr = colptr;
}

void
dCreate_CompRowLoc_Matrix_dist(SuperMatrix *A, int_t m, int_t n,
			       int_t nnz_loc, int_t m_loc, int_t fst_row,
			       double *nzval, int_t *colind, int_t *rowptr,
			       Stype_t stype, Dtype_t dtype, Mtype_t mtype)
{
    NRformat_loc *Astore;

    A->Stype = stype;
    A->Dtype = dtype;
    A->Mtype = mtype;
    A->nrow = m;
    A->ncol = n;
    A->Store = (void *) SUPERLU_MALLOC( sizeof(NRformat_loc) );
    if ( !(A->Store) ) ABORT("SUPERLU_MALLOC fails for A->Store");
    Astore = (NRformat_loc *) A->Store;
    Astore->nnz_loc = nnz_loc;
    Astore->fst_row = fst_row;
    Astore->m_loc = m_loc;
    Astore->nzval = nzval;
    Astore->colind = colind;
    Astore->rowptr = rowptr;
}

/*
 * Convert a row compressed storage into a column compressed storage.
 */
void
dCompRow_to_CompCol_dist(int_t m, int_t n, int_t nnz, 
                         double *a, int_t *colind, int_t *rowptr,
                         double **at, int_t **rowind, int_t **colptr)
{
    register int i, j, col, relpos;
    int_t *marker;

    /* Allocate storage for another copy of the matrix. */
    *at = (double *) doubleMalloc_dist(nnz);
    *rowind = intMalloc_dist(nnz);
    *colptr = intMalloc_dist(n+1);
    marker = intCalloc_dist(n);
    
    /* Get counts of each column of A, and set up column pointers */
    for (i = 0; i < m; ++i)
	for (j = rowptr[i]; j < rowptr[i+1]; ++j) ++marker[colind[j]];
    (*colptr)[0] = 0;
    for (j = 0; j < n; ++j) {
	(*colptr)[j+1] = (*colptr)[j] + marker[j];
	marker[j] = (*colptr)[j];
    }

    /* Transfer the matrix into the compressed column storage. */
    for (i = 0; i < m; ++i) {
	for (j = rowptr[i]; j < rowptr[i+1]; ++j) {
	    col = colind[j];
	    relpos = marker[col];
	    (*rowind)[relpos] = i;
	    (*at)[relpos] = a[j];
	    ++marker[col];
	}
    }

    SUPERLU_FREE(marker);
}

/* Copy matrix A into matrix B. */
void
dCopy_CompCol_Matrix_dist(SuperMatrix *A, SuperMatrix *B)
{
    NCformat *Astore, *Bstore;
    int      ncol, nnz, i;

    B->Stype = A->Stype;
    B->Dtype = A->Dtype;
    B->Mtype = A->Mtype;
    B->nrow  = A->nrow;;
    B->ncol  = ncol = A->ncol;
    Astore   = (NCformat *) A->Store;
    Bstore   = (NCformat *) B->Store;
    Bstore->nnz = nnz = Astore->nnz;
    for (i = 0; i < nnz; ++i)
	((double *)Bstore->nzval)[i] = ((double *)Astore->nzval)[i];
    for (i = 0; i < nnz; ++i) Bstore->rowind[i] = Astore->rowind[i];
    for (i = 0; i <= ncol; ++i) Bstore->colptr[i] = Astore->colptr[i];
}


void dPrint_CompCol_Matrix_dist(SuperMatrix *A)
{
    NCformat     *Astore;
    register int i;
    double       *dp;
    
    printf("\nCompCol matrix: ");
    printf("Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
    Astore = (NCformat *) A->Store;
    printf("nrow %d, ncol %d, nnz %d\n", A->nrow,A->ncol,Astore->nnz);
    if ( (dp = (double *) Astore->nzval) != NULL ) {
        printf("nzval:\n");
        for (i = 0; i < Astore->nnz; ++i) printf("%f  ", dp[i]);
    }
    printf("\nrowind:\n");
    for (i = 0; i < Astore->nnz; ++i) printf("%d  ", Astore->rowind[i]);
    printf("\ncolptr:\n");
    for (i = 0; i <= A->ncol; ++i) printf("%d  ", Astore->colptr[i]);
    printf("\nend CompCol matrix.\n");
}

void dPrint_Dense_Matrix_dist(SuperMatrix *A)
{
    DNformat     *Astore;
    register int i;
    double       *dp;
    
    printf("\nDense matrix: ");
    printf("Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
    Astore = (DNformat *) A->Store;
    dp = (double *) Astore->nzval;
    printf("nrow %d, ncol %d, lda %d\n", A->nrow,A->ncol,Astore->lda);
    printf("\nnzval: ");
    for (i = 0; i < A->nrow; ++i) printf("%f  ", dp[i]);
    printf("\nend Dense matrix.\n");
}

int dPrint_CompRowLoc_Matrix_dist(SuperMatrix *A)
{
    NRformat_loc     *Astore;
    int_t i, nnz_loc, m_loc;
    double       *dp;
    
    printf("\n==== CompRowLoc matrix: ");
    printf("Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
    Astore = (NRformat_loc *) A->Store;
    printf("nrow %d, ncol %d\n", A->nrow,A->ncol);
    nnz_loc = Astore->nnz_loc; m_loc = Astore->m_loc;
    printf("nnz_loc %d, m_loc %d, fst_row %d\n", nnz_loc, m_loc,
	   Astore->fst_row);
    PrintInt10("rowptr", m_loc+1, Astore->rowptr);
    PrintInt10("colind", nnz_loc, Astore->colind);
    if ( (dp = (double *) Astore->nzval) != NULL )
        PrintDouble5("nzval", nnz_loc, dp);
    printf("==== end CompRowLoc matrix\n");
}

int file_dPrint_CompRowLoc_Matrix_dist(FILE *fp, SuperMatrix *A)
{
    NRformat_loc     *Astore;
    int_t i, nnz_loc, m_loc;
    double       *dp;
    
    fprintf(fp, "\n==== CompRowLoc matrix: ");
    fprintf(fp, "Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
    Astore = (NRformat_loc *) A->Store;
    fprintf(fp, "nrow %d, ncol %d\n", A->nrow, A->ncol);
    nnz_loc = Astore->nnz_loc; m_loc = Astore->m_loc;
    fprintf(fp, "nnz_loc %d, m_loc %d, fst_row %d\n", nnz_loc, m_loc,
	    Astore->fst_row);
    file_PrintInt10(fp, "rowptr", m_loc+1, Astore->rowptr);
    file_PrintInt10(fp, "colind", nnz_loc, Astore->colind);
    if ( (dp = (double *) Astore->nzval) != NULL )
        file_PrintDouble5(fp, "nzval", nnz_loc, dp);
    fprintf(fp, "==== end CompRowLoc matrix\n");
}

void
dCreate_Dense_Matrix_dist(SuperMatrix *X, int_t m, int_t n, double *x,
			  int_t ldx, Stype_t stype, Dtype_t dtype,
			  Mtype_t mtype)
{
    DNformat    *Xstore;
    
    X->Stype = stype;
    X->Dtype = dtype;
    X->Mtype = mtype;
    X->nrow = m;
    X->ncol = n;
    X->Store = (void *) SUPERLU_MALLOC( sizeof(DNformat) );
    if ( !(X->Store) ) ABORT("SUPERLU_MALLOC fails for X->Store");
    Xstore = (DNformat *) X->Store;
    Xstore->lda = ldx;
    Xstore->nzval = (double *) x;
}

void
dCopy_Dense_Matrix_dist(int_t M, int_t N, double *X, int_t ldx,
			double *Y, int_t ldy)
{
/*
 *  Purpose
 *  =======
 *
 *  Copies a two-dimensional matrix X to another matrix Y.
 */
    int    i, j;
    
    for (j = 0; j < N; ++j)
        for (i = 0; i < M; ++i)
            Y[i + j*ldy] = X[i + j*ldx];
}

void
dCreate_SuperNode_Matrix_dist(SuperMatrix *L, int_t m, int_t n, int_t nnz, 
			      double *nzval, int_t *nzval_colptr,
			      int_t *rowind, int_t *rowind_colptr,
			      int_t *col_to_sup, int_t *sup_to_col,
			      Stype_t stype, Dtype_t dtype, Mtype_t mtype)
{
    SCformat *Lstore;

    L->Stype = stype;
    L->Dtype = dtype;
    L->Mtype = mtype;
    L->nrow = m;
    L->ncol = n;
    L->Store = (void *) SUPERLU_MALLOC( sizeof(SCformat) );
    if ( !(L->Store) ) ABORT("SUPERLU_MALLOC fails for L->Store");
    Lstore = L->Store;
    Lstore->nnz = nnz;
    Lstore->nsuper = col_to_sup[n];
    Lstore->nzval = nzval;
    Lstore->nzval_colptr = nzval_colptr;
    Lstore->rowind = rowind;
    Lstore->rowind_colptr = rowind_colptr;
    Lstore->col_to_sup = col_to_sup;
    Lstore->sup_to_col = sup_to_col;

}

void
dGenXtrue_dist(int_t n, int_t nrhs, double *x, int_t ldx)
{
    int  i, j;
    for (j = 0; j < nrhs; ++j)
	for (i = 0; i < n; ++i) {
	    if ( i % 2 ) x[i + j*ldx] = 1.0;/* + (double)(i+1.)/n;*/
	    else x[i + j*ldx] = 1.0;
	}
}

/*
 * Let rhs[i] = sum of i-th row of A, so the solution vector is all 1's
 */
void
dFillRHS_dist(char *trans, int_t nrhs, double *x, int_t ldx,
	      SuperMatrix *A, double *rhs, int_t ldb)
{
    double one = 1.0;
    double zero = 0.0;

    sp_dgemm_dist(trans, "N", A->nrow, nrhs, A->ncol, one, A,
		  x, ldx, zero, rhs, ldb);

}

/* 
 * Fills a double precision array with a given value.
 */
void 
dfill_dist(double *a, int_t alen, double dval)
{