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/*! @file cutil.c
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 * \brief Matrix utility functions
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 *
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 * 
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 * -- SuperLU routine (version 3.1) --
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 * Univ. of California Berkeley, Xerox Palo Alto Research Center,
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 * and Lawrence Berkeley National Lab.
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 * August 1, 2008
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 *
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 * Copyright (c) 1994 by Xerox Corporation.  All rights reserved.
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 *
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 * THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
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 * EXPRESSED OR IMPLIED.  ANY USE IS AT YOUR OWN RISK.
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 * 
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 * Permission is hereby granted to use or copy this program for any
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 * purpose, provided the above notices are retained on all copies.
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 * Permission to modify the code and to distribute modified code is
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 * granted, provided the above notices are retained, and a notice that
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 * the code was modified is included with the above copyright notice.
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 * 
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 */
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#include <math.h></math.h>
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#include "slu_cdefs.h"
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void
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cCreate_CompCol_Matrix(SuperMatrix *A, int m, int n, int nnz, 
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		       complex *nzval, int *rowind, int *colptr,
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		       Stype_t stype, Dtype_t dtype, Mtype_t mtype)
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{
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    NCformat *Astore;
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    A->Stype = stype;
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    A->Dtype = dtype;
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    A->Mtype = mtype;
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    A->nrow = m;
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    A->ncol = n;
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    A->Store = (void *) SUPERLU_MALLOC( sizeof(NCformat) );
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    if ( !(A->Store) ) ABORT("SUPERLU_MALLOC fails for A->Store");
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    Astore = A->Store;
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    Astore->nnz = nnz;
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    Astore->nzval = nzval;
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    Astore->rowind = rowind;
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    Astore->colptr = colptr;
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}
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void
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cCreate_CompRow_Matrix(SuperMatrix *A, int m, int n, int nnz, 
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		       complex *nzval, int *colind, int *rowptr,
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		       Stype_t stype, Dtype_t dtype, Mtype_t mtype)
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{
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    NRformat *Astore;
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    A->Stype = stype;
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    A->Dtype = dtype;
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    A->Mtype = mtype;
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    A->nrow = m;
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    A->ncol = n;
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    A->Store = (void *) SUPERLU_MALLOC( sizeof(NRformat) );
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    if ( !(A->Store) ) ABORT("SUPERLU_MALLOC fails for A->Store");
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    Astore = A->Store;
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    Astore->nnz = nnz;
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    Astore->nzval = nzval;
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    Astore->colind = colind;
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    Astore->rowptr = rowptr;
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}
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/*! \brief Copy matrix A into matrix B. */
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void
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cCopy_CompCol_Matrix(SuperMatrix *A, SuperMatrix *B)
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{
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    NCformat *Astore, *Bstore;
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    int      ncol, nnz, i;
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    B->Stype = A->Stype;
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    B->Dtype = A->Dtype;
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    B->Mtype = A->Mtype;
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    B->nrow  = A->nrow;;
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    B->ncol  = ncol = A->ncol;
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    Astore   = (NCformat *) A->Store;
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    Bstore   = (NCformat *) B->Store;
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    Bstore->nnz = nnz = Astore->nnz;
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    for (i = 0; i < nnz; ++i)
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	((complex *)Bstore->nzval)[i] = ((complex *)Astore->nzval)[i];
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    for (i = 0; i < nnz; ++i) Bstore->rowind[i] = Astore->rowind[i];
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    for (i = 0; i <= ncol; ++i) Bstore->colptr[i] = Astore->colptr[i];
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}
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void
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cCreate_Dense_Matrix(SuperMatrix *X, int m, int n, complex *x, int ldx,
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		    Stype_t stype, Dtype_t dtype, Mtype_t mtype)
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{
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    DNformat    *Xstore;
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    X->Stype = stype;
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    X->Dtype = dtype;
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    X->Mtype = mtype;
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    X->nrow = m;
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    X->ncol = n;
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    X->Store = (void *) SUPERLU_MALLOC( sizeof(DNformat) );
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    if ( !(X->Store) ) ABORT("SUPERLU_MALLOC fails for X->Store");
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    Xstore = (DNformat *) X->Store;
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    Xstore->lda = ldx;
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    Xstore->nzval = (complex *) x;
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}
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void
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cCopy_Dense_Matrix(int M, int N, complex *X, int ldx,
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			complex *Y, int ldy)
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{
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/*! \brief Copies a two-dimensional matrix X to another matrix Y.
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 */
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    int    i, j;
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    for (j = 0; j < N; ++j)
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        for (i = 0; i < M; ++i)
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            Y[i + j*ldy] = X[i + j*ldx];
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}
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void
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cCreate_SuperNode_Matrix(SuperMatrix *L, int m, int n, int nnz, 
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			complex *nzval, int *nzval_colptr, int *rowind,
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			int *rowind_colptr, int *col_to_sup, int *sup_to_col,
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			Stype_t stype, Dtype_t dtype, Mtype_t mtype)
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{
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    SCformat *Lstore;
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    L->Stype = stype;
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    L->Dtype = dtype;
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    L->Mtype = mtype;
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    L->nrow = m;
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    L->ncol = n;
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    L->Store = (void *) SUPERLU_MALLOC( sizeof(SCformat) );
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    if ( !(L->Store) ) ABORT("SUPERLU_MALLOC fails for L->Store");
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    Lstore = L->Store;
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    Lstore->nnz = nnz;
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    Lstore->nsuper = col_to_sup[n];
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    Lstore->nzval = nzval;
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    Lstore->nzval_colptr = nzval_colptr;
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    Lstore->rowind = rowind;
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    Lstore->rowind_colptr = rowind_colptr;
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    Lstore->col_to_sup = col_to_sup;
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    Lstore->sup_to_col = sup_to_col;
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}
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/*! \brief Convert a row compressed storage into a column compressed storage.
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 */
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void
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cCompRow_to_CompCol(int m, int n, int nnz, 
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		    complex *a, int *colind, int *rowptr,
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		    complex **at, int **rowind, int **colptr)
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{
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    register int i, j, col, relpos;
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    int *marker;
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    /* Allocate storage for another copy of the matrix. */
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    *at = (complex *) complexMalloc(nnz);
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    *rowind = (int *) intMalloc(nnz);
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    *colptr = (int *) intMalloc(n+1);
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    marker = (int *) intCalloc(n);
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    /* Get counts of each column of A, and set up column pointers */
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    for (i = 0; i < m; ++i)
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	for (j = rowptr[i]; j < rowptr[i+1]; ++j) ++marker[colind[j]];
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    (*colptr)[0] = 0;
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    for (j = 0; j < n; ++j) {
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	(*colptr)[j+1] = (*colptr)[j] + marker[j];
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	marker[j] = (*colptr)[j];
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    }
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    /* Transfer the matrix into the compressed column storage. */
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    for (i = 0; i < m; ++i) {
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	for (j = rowptr[i]; j < rowptr[i+1]; ++j) {
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	    col = colind[j];
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	    relpos = marker[col];
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	    (*rowind)[relpos] = i;
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	    (*at)[relpos] = a[j];
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	    ++marker[col];
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	}
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    }
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    SUPERLU_FREE(marker);
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}
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void
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cPrint_CompCol_Matrix(char *what, SuperMatrix *A)
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{
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    NCformat     *Astore;
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    register int i,n;
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    float       *dp;
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    printf("\nCompCol matrix %s:\n", what);
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    printf("Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
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    n = A->ncol;
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    Astore = (NCformat *) A->Store;
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    dp = (float *) Astore->nzval;
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    printf("nrow %d, ncol %d, nnz %d\n", A->nrow,A->ncol,Astore->nnz);
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    printf("nzval: ");
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    for (i = 0; i < 2*Astore->colptr[n]; ++i) printf("%f  ", dp[i]);
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    printf("\nrowind: ");
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    for (i = 0; i < Astore->colptr[n]; ++i) printf("%d  ", Astore->rowind[i]);
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    printf("\ncolptr: ");
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    for (i = 0; i <= n; ++i) printf("%d  ", Astore->colptr[i]);
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    printf("\n");
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    fflush(stdout);
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}
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void
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cPrint_SuperNode_Matrix(char *what, SuperMatrix *A)
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{
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    SCformat     *Astore;
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    register int i, j, k, c, d, n, nsup;
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    float       *dp;
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    int *col_to_sup, *sup_to_col, *rowind, *rowind_colptr;
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    printf("\nSuperNode matrix %s:\n", what);
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    printf("Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
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    n = A->ncol;
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    Astore = (SCformat *) A->Store;
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    dp = (float *) Astore->nzval;
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    col_to_sup = Astore->col_to_sup;
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    sup_to_col = Astore->sup_to_col;
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    rowind_colptr = Astore->rowind_colptr;
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    rowind = Astore->rowind;
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    printf("nrow %d, ncol %d, nnz %d, nsuper %d\n", 
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	   A->nrow,A->ncol,Astore->nnz,Astore->nsuper);
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    printf("nzval:\n");
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    for (k = 0; k <= Astore->nsuper; ++k) {
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      c = sup_to_col[k];
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      nsup = sup_to_col[k+1] - c;
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      for (j = c; j < c + nsup; ++j) {
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	d = Astore->nzval_colptr[j];
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	for (i = rowind_colptr[c]; i < rowind_colptr[c+1]; ++i) {
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	  printf("%d\t%d\t%e\t%e\n", rowind[i], j, dp[d], dp[d+1]);
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          d += 2;	
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	}
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      }
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    }
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#if 0
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    for (i = 0; i < 2*Astore->nzval_colptr[n]; ++i) printf("%f  ", dp[i]);
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#endif
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    printf("\nnzval_colptr: ");
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    for (i = 0; i <= n; ++i) printf("%d  ", Astore->nzval_colptr[i]);
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    printf("\nrowind: ");
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    for (i = 0; i < Astore->rowind_colptr[n]; ++i) 
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        printf("%d  ", Astore->rowind[i]);
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    printf("\nrowind_colptr: ");
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    for (i = 0; i <= n; ++i) printf("%d  ", Astore->rowind_colptr[i]);
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    printf("\ncol_to_sup: ");
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    for (i = 0; i < n; ++i) printf("%d  ", col_to_sup[i]);
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    printf("\nsup_to_col: ");
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    for (i = 0; i <= Astore->nsuper+1; ++i) 
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        printf("%d  ", sup_to_col[i]);
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    printf("\n");
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    fflush(stdout);
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}
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void
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cPrint_Dense_Matrix(char *what, SuperMatrix *A)
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{
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    DNformat     *Astore = (DNformat *) A->Store;
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    register int i, j, lda = Astore->lda;
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    float       *dp;
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    printf("\nDense matrix %s:\n", what);
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    printf("Stype %d, Dtype %d, Mtype %d\n", A->Stype,A->Dtype,A->Mtype);
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    dp = (float *) Astore->nzval;
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    printf("nrow %d, ncol %d, lda %d\n", A->nrow,A->ncol,lda);
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    printf("\nnzval: ");
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    for (j = 0; j < A->ncol; ++j) {
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        for (i = 0; i < 2*A->nrow; ++i) printf("%f  ", dp[i + j*2*lda]);
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        printf("\n");
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    }
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    printf("\n");
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    fflush(stdout);
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}
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/*! \brief Diagnostic print of column "jcol" in the U/L factor.
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 */
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void
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cprint_lu_col(char *msg, int jcol, int pivrow, int *xprune, GlobalLU_t *Glu)
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{
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    int     i, k, fsupc;
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    int     *xsup, *supno;
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    int     *xlsub, *lsub;
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    complex  *lusup;
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    int     *xlusup;
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    complex  *ucol;
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    int     *usub, *xusub;
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    xsup    = Glu->xsup;
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    supno   = Glu->supno;
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    lsub    = Glu->lsub;
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    xlsub   = Glu->xlsub;
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    lusup   = Glu->lusup;
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    xlusup  = Glu->xlusup;
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    ucol    = Glu->ucol;
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    usub    = Glu->usub;
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    xusub   = Glu->xusub;
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    printf("%s", msg);
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    printf("col %d: pivrow %d, supno %d, xprune %d\n", 
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	   jcol, pivrow, supno[jcol], xprune[jcol]);
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    printf("\tU-col:\n");
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    for (i = xusub[jcol]; i < xusub[jcol+1]; i++)
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	printf("\t%d%10.4f, %10.4f\n", usub[i], ucol[i].r, ucol[i].i);
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    printf("\tL-col in rectangular snode:\n");
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    fsupc = xsup[supno[jcol]];	/* first col of the snode */
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    i = xlsub[fsupc];
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    k = xlusup[jcol];
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    while ( i < xlsub[fsupc+1] && k < xlusup[jcol+1] ) {
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	printf("\t%d\t%10.4f, %10.4f\n", lsub[i], lusup[k].r, lusup[k].i);
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	i++; k++;
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    }
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    fflush(stdout);
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}
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/*! \brief Check whether tempv[] == 0. This should be true before and after calling any numeric routines, i.e., "panel_bmod" and "column_bmod". 
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 */
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void ccheck_tempv(int n, complex *tempv)
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{
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    int i;
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    for (i = 0; i < n; i++) {
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	if ((tempv[i].r != 0.0) || (tempv[i].i != 0.0))
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	{
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	    fprintf(stderr,"tempv[%d] = {%f, %f}\n", i, tempv[i].r, tempv[i].i);
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	    ABORT("ccheck_tempv");
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	}
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    }
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}
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void
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cGenXtrue(int n, int nrhs, complex *x, int ldx)
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{
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    int  i, j;
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    for (j = 0; j < nrhs; ++j)
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	for (i = 0; i < n; ++i) {
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	    x[i + j*ldx].r = 1.0;
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	    x[i + j*ldx].i = 0.0;
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	}
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}
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/*! \brief Let rhs[i] = sum of i-th row of A, so the solution vector is all 1's
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 */
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void
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cFillRHS(trans_t trans, int nrhs, complex *x, int ldx,
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         SuperMatrix *A, SuperMatrix *B)
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{
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    NCformat *Astore;
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    complex   *Aval;
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    DNformat *Bstore;
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    complex   *rhs;
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    complex one = {1.0, 0.0};
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    complex zero = {0.0, 0.0};
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    int      ldc;
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    char transc[1];
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    Astore = A->Store;
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    Aval   = (complex *) Astore->nzval;
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    Bstore = B->Store;
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    rhs    = Bstore->nzval;
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    ldc    = Bstore->lda;
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    if ( trans == NOTRANS ) *(unsigned char *)transc = 'N';
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    else *(unsigned char *)transc = 'T';
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    sp_cgemm(transc, "N", A->nrow, nrhs, A->ncol, one, A,
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	     x, ldx, zero, rhs, ldc);
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}
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/*! \brief Fills a complex precision array with a given value.
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 */
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void 
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cfill(complex *a, int alen, complex dval)
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{
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    register int i;
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    for (i = 0; i < alen; i++) a[i] = dval;
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}
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/*! \brief Check the inf-norm of the error vector 
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 */
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void cinf_norm_error(int nrhs, SuperMatrix *X, complex *xtrue)
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{
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    DNformat *Xstore;
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    float err, xnorm;
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    complex *Xmat, *soln_work;
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    complex temp;
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    int i, j;
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    Xstore = X->Store;
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    Xmat = Xstore->nzval;
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    for (j = 0; j < nrhs; j++) {
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      soln_work = &Xmat[j*Xstore->lda];
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      err = xnorm = 0.0;
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      for (i = 0; i < X->nrow; i++) {
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        c_sub(&temp, &soln_work[i], &xtrue[i]);
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	err = SUPERLU_MAX(err, c_abs(&temp));
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	xnorm = SUPERLU_MAX(xnorm, c_abs(&soln_work[i]));
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      }
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      err = err / xnorm;
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      printf("||X - Xtrue||/||X|| = %e\n", err);
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    }
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}
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/*! \brief Print performance of the code. */
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void
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cPrintPerf(SuperMatrix *L, SuperMatrix *U, mem_usage_t *mem_usage,
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           float rpg, float rcond, float *ferr,
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           float *berr, char *equed, SuperLUStat_t *stat)
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{
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    SCformat *Lstore;
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    NCformat *Ustore;
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    double   *utime;
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    flops_t  *ops;
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    utime = stat->utime;
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    ops   = stat->ops;
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    if ( utime[FACT] != 0. )
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	printf("Factor flops = %e\tMflops = %8.2f\n", ops[FACT],
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	       ops[FACT]*1e-6/utime[FACT]);
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    printf("Identify relaxed snodes	= %8.2f\n", utime[RELAX]);
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    if ( utime[SOLVE] != 0. )
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	printf("Solve flops = %.0f, Mflops = %8.2f\n", ops[SOLVE],
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	       ops[SOLVE]*1e-6/utime[SOLVE]);
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    Lstore = (SCformat *) L->Store;
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    Ustore = (NCformat *) U->Store;
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    printf("\tNo of nonzeros in factor L = %d\n", Lstore->nnz);
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    printf("\tNo of nonzeros in factor U = %d\n", Ustore->nnz);
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    printf("\tNo of nonzeros in L+U = %d\n", Lstore->nnz + Ustore->nnz);
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    printf("L\\U MB %.3f\ttotal MB needed %.3f\n",
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	   mem_usage->for_lu/1e6, mem_usage->total_needed/1e6);
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    printf("Number of memory expansions: %d\n", stat->expansions);
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    printf("\tFactor\tMflops\tSolve\tMflops\tEtree\tEquil\tRcond\tRefine\n");
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    printf("PERF:%8.2f%8.2f%8.2f%8.2f%8.2f%8.2f%8.2f%8.2f\n",
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	   utime[FACT], ops[FACT]*1e-6/utime[FACT],
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	   utime[SOLVE], ops[SOLVE]*1e-6/utime[SOLVE],
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	   utime[ETREE], utime[EQUIL], utime[RCOND], utime[REFINE]);
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    printf("\tRpg\t\tRcond\t\tFerr\t\tBerr\t\tEquil?\n");
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    printf("NUM:\t%e\t%e\t%e\t%e\t%s\n",
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	   rpg, rcond, ferr[0], berr[0], equed);
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}
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print_complex_vec(char *what, int n, complex *vec)
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{
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    int i;
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    printf("%s: n %d\n", what, n);
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    for (i = 0; i < n; ++i) printf("%d\t%f%f\n", i, vec[i].r, vec[i].i);
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    return 0;
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}
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