#include "sweep.h"
+#include <assert.h>
/*
The matrix A will be overwritten. In ordinary uses of the sweep
operator, A will be the matrix
int i;
int j;
int k;
- int row_i;
- int row_k;
- int row_j;
- int *ordered_cols;
gsl_matrix *B;
if (A != NULL)
{
if (A->size1 == A->size2)
{
- ordered_cols = malloc (A->size1 * sizeof (*ordered_cols));
- for (i = 0; i < last_col; i++)
- {
- ordered_cols[i] = i;
- }
- for (i = last_col + 1; i < A->size1; i++)
- {
- ordered_cols[i - 1] = i;
- }
- ordered_cols[A->size1 - 1] = last_col;
+ assert (last_col < A->size1);
+ gsl_matrix_swap_rows (A, A->size1 - 1, last_col);
+ gsl_matrix_swap_columns (A, A->size1 - 1 , last_col);
+
B = gsl_matrix_alloc (A->size1, A->size2);
for (k = 0; k < (A->size1 - 1); k++)
{
- row_k = ordered_cols[k];
- sweep_element = gsl_matrix_get (A, row_k, row_k);
+ sweep_element = gsl_matrix_get (A, k, k);
if (fabs (sweep_element) > GSL_DBL_MIN)
{
tmp = -1.0 / sweep_element;
- gsl_matrix_set (B, row_k, row_k, tmp);
+ gsl_matrix_set (B, k, k, tmp);
/*
Rows before current row k.
*/
for (i = 0; i < k; i++)
{
- row_i = ordered_cols[i];
for (j = i; j < A->size2; j++)
{
- row_j = ordered_cols[j];
/*
Use only the upper triangle of A.
*/
- if (row_j < row_k)
+ if (j < k)
{
- tmp = gsl_matrix_get (A, row_i, row_j) -
- gsl_matrix_get (A, row_i, row_k)
- * gsl_matrix_get (A, row_j, row_k) / sweep_element;
- gsl_matrix_set (B, row_i, row_j, tmp);
+ tmp = gsl_matrix_get (A, i, j) -
+ gsl_matrix_get (A, i, k)
+ * gsl_matrix_get (A, j, k) / sweep_element;
+ gsl_matrix_set (B, i, j, tmp);
}
- else if (row_j > row_k)
+ else if (j > k)
{
- tmp = gsl_matrix_get (A, row_i, row_j) -
- gsl_matrix_get (A, row_i, row_k)
- * gsl_matrix_get (A, row_k, row_j) / sweep_element;
- gsl_matrix_set (B, row_i, row_j, tmp);
+ tmp = gsl_matrix_get (A, i, j) -
+ gsl_matrix_get (A, i, k)
+ * gsl_matrix_get (A, k, j) / sweep_element;
+ gsl_matrix_set (B, i, j, tmp);
}
else
{
- tmp = gsl_matrix_get (A, row_i, row_k) / sweep_element;
- gsl_matrix_set (B, row_i, row_j, tmp);
+ tmp = gsl_matrix_get (A, i, k) / sweep_element;
+ gsl_matrix_set (B, i, j, tmp);
}
}
}
*/
for (j = k + 1; j < A->size1; j++)
{
- row_j = ordered_cols[j];
- tmp = gsl_matrix_get (A, row_k, row_j) / sweep_element;
- gsl_matrix_set (B, row_k, row_j, tmp);
+ tmp = gsl_matrix_get (A, k, j) / sweep_element;
+ gsl_matrix_set (B, k, j, tmp);
}
/*
Rows after the current row k.
*/
for (i = k + 1; i < A->size1; i++)
{
- row_i = ordered_cols[i];
for (j = i; j < A->size2; j++)
{
- row_j = ordered_cols[j];
- tmp = gsl_matrix_get (A, row_i, row_j) -
- gsl_matrix_get (A, row_k, row_i)
- * gsl_matrix_get (A, row_k, row_j) / sweep_element;
- gsl_matrix_set (B, row_i, row_j, tmp);
+ tmp = gsl_matrix_get (A, i, j) -
+ gsl_matrix_get (A, k, i)
+ * gsl_matrix_get (A, k, j) / sweep_element;
+ gsl_matrix_set (B, i, j, tmp);
}
}
}
for (i = 0; i < A->size1; i++)
for (j = i; j < A->size2; j++)
{
- row_i = ordered_cols[i];
- row_j = ordered_cols[j];
- gsl_matrix_set (A, row_i, row_j, gsl_matrix_get (B, row_i, row_j));
+ gsl_matrix_set (A, i, j, gsl_matrix_get (B, i, j));
}
}
gsl_matrix_free (B);
- free (ordered_cols);
+
+ gsl_matrix_swap_columns (A, A->size1 - 1 , last_col);
+ gsl_matrix_swap_rows (A, A->size1 - 1, last_col);
+
return GSL_SUCCESS;
}
return GSL_ENOTSQR;