
/*! @file cdiagonal.c
 * \brief Auxiliary routines to work with diagonal elements
 *
 * <pre>
 * -- SuperLU routine (version 4.0) --
 * Lawrence Berkeley National Laboratory
 * June 30, 2009
 * </pre>
 */

#include "slu_cdefs.h"

int cfill_diag(int n, NCformat *Astore)
/* fill explicit zeros on the diagonal entries, so that the matrix is not
   structurally singular. */
{
    complex *nzval = (complex *)Astore->nzval;
    int *rowind = Astore->rowind;
    int *colptr = Astore->colptr;
    int nnz = colptr[n];
    int fill = 0;
    complex *nzval_new;
    complex zero = {1.0, 0.0};
    int *rowind_new;
    int i, j, diag;

    for (i = 0; i < n; i++)
    {
	diag = -1;
	for (j = colptr[i]; j < colptr[i + 1]; j++)
	    if (rowind[j] == i) diag = j;
	if (diag < 0) fill++;
    }
    if (fill)
    {
	nzval_new = complexMalloc(nnz + fill);
	rowind_new = intMalloc(nnz + fill);
	fill = 0;
	for (i = 0; i < n; i++)
	{
	    diag = -1;
	    for (j = colptr[i] - fill; j < colptr[i + 1]; j++)
	    {
		if ((rowind_new[j + fill] = rowind[j]) == i) diag = j;
		nzval_new[j + fill] = nzval[j];
	    }
	    if (diag < 0)
	    {
		rowind_new[colptr[i + 1] + fill] = i;
		nzval_new[colptr[i + 1] + fill] = zero;
		fill++;
	    }
	    colptr[i + 1] += fill;
	}
	Astore->nzval = nzval_new;
	Astore->rowind = rowind_new;
	SUPERLU_FREE(nzval);
	SUPERLU_FREE(rowind);
    }
    Astore->nnz += fill;
    return fill;
}

int cdominate(int n, NCformat *Astore)
/* make the matrix diagonally dominant */
{
    complex *nzval = (complex *)Astore->nzval;
    int *rowind = Astore->rowind;
    int *colptr = Astore->colptr;
    int nnz = colptr[n];
    int fill = 0;
    complex *nzval_new;
    int *rowind_new;
    int i, j, diag;
    double s;

    for (i = 0; i < n; i++)
    {
	diag = -1;
	for (j = colptr[i]; j < colptr[i + 1]; j++)
	    if (rowind[j] == i) diag = j;
	if (diag < 0) fill++;
    }
    if (fill)
    {
	nzval_new = complexMalloc(nnz + fill);
	rowind_new = intMalloc(nnz+ fill);
	fill = 0;
	for (i = 0; i < n; i++)
	{
	    s = 1e-6;
	    diag = -1;
	    for (j = colptr[i] - fill; j < colptr[i + 1]; j++)
	    {
		if ((rowind_new[j + fill] = rowind[j]) == i) diag = j;
                nzval_new[j + fill] = nzval[j];
		s += c_abs1(&nzval_new[j + fill]);
	    }
	    if (diag >= 0) {
		nzval_new[diag+fill].r = s * 3.0;
		nzval_new[diag+fill].i = 0.0;
	    } else {
		rowind_new[colptr[i + 1] + fill] = i;
		nzval_new[colptr[i + 1] + fill].r = s * 3.0;
		nzval_new[colptr[i + 1] + fill].i = 0.0;
		fill++;
	    }
	    colptr[i + 1] += fill;
	}
	Astore->nzval = nzval_new;
	Astore->rowind = rowind_new;
	SUPERLU_FREE(nzval);
	SUPERLU_FREE(rowind);
    }
    else
    {
	for (i = 0; i < n; i++)
	{
	    s = 1e-6;
	    diag = -1;
	    for (j = colptr[i]; j < colptr[i + 1]; j++)
	    {
		if (rowind[j] == i) diag = j;
		s += c_abs1(&nzval[j]);
	    }
	    nzval[diag].r = s * 3.0;
	    nzval[diag].i = 0.0;
	}
    }
    Astore->nnz += fill;
    return fill;
}
