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/*****************************************************************************
*
* MODULE: Grass PDE Numerical Library
* AUTHOR(S): Soeren Gebbert, Berlin (GER) Dec 2006
* soerengebbert <at> gmx <dot> de
*
* PURPOSE: Unit tests for les solving
*
* COPYRIGHT: (C) 2000 by the GRASS Development Team
*
* This program is free software under the GNU General Public
* License (>=v2). Read the file COPYING that comes with GRASS
* for details.
*
*****************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <grass/glocale.h>
#include <grass/gmath.h>
#include "test_gmath_lib.h"
#define EPSILON_DIRECT 1.0E-10
#define EPSILON_ITER 1.0E-4
/* prototypes */
static int test_ccmath_wrapper(void);
/* ************************************************************************* */
/* Perform the solver unit tests ****************************************** */
/* ************************************************************************* */
int unit_test_ccmath_wrapper(void)
{
int sum = 0;
G_message(_("\n++ Running ccmath wrapper unit tests ++"));
sum += test_ccmath_wrapper();
if (sum > 0)
G_warning(_("\n-- ccmath wrapper unit tests failure --"));
else
G_message(_("\n-- ccmath wrapper unit tests finished successfully --"));
return sum;
}
/* *************************************************************** */
/* Test all implemented ccmath wrapper *** */
/* *************************************************************** */
int test_ccmath_wrapper(void)
{
G_math_les *les;
int sum = 0;
double val = 0.0, val2 = 0.0;
G_message("\t * testing ccmath lu solver with symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
G_math_d_copy(les->b, les->x, les->rows);
G_math_solv(les->A, les->x, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->x, &val, les->rows);
if ((val - (double)les->rows) > EPSILON_ITER) {
G_warning("Error in G_math_solv abs %2.20f != %i", val, les->rows);
sum++;
}
G_math_free_les(les);
G_message("\t * testing ccmath lu solver with unsymmetric matrix\n");
les = create_normal_unsymmetric_les(TEST_NUM_ROWS);
G_math_d_copy(les->b, les->x, les->rows);
G_math_solvps(les->A, les->x, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->x, &val, les->rows);
if ((val - (double)les->rows) > EPSILON_ITER) {
G_warning("Error in G_math_solv abs %2.20f != %i", val, les->rows);
sum++;
}
G_math_free_les(les);
G_message(
"\t * testing ccmath positive definite solver with symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
G_math_d_copy(les->b, les->x, les->rows);
G_math_solvps(les->A, les->x, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->x, &val, les->rows);
if ((val - (double)les->rows) > EPSILON_ITER) {
G_warning("Error in G_math_solvps abs %2.20f != %i", val, les->rows);
sum++;
}
G_math_free_les(les);
G_message("\t * testing ccmath matrix inversion with symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
G_math_minv(les->A, les->rows);
G_math_d_Ax(les->A, les->b, les->x, les->rows, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->x, &val, les->rows);
if ((val - (double)les->rows) > EPSILON_ITER) {
G_warning("Error in G_math_minv abs %2.20f != %i", val, les->rows);
sum++;
}
G_math_free_les(les);
G_message("\t * testing ccmath matrix inversion with unsymmetric matrix\n");
les = create_normal_unsymmetric_les(TEST_NUM_ROWS);
G_math_minv(les->A, les->rows);
G_math_d_Ax(les->A, les->b, les->x, les->rows, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->x, &val, les->rows);
if ((val - (double)les->rows) > EPSILON_ITER) {
G_warning("Error in G_math_minv abs %2.20f != %i", val, les->rows);
sum++;
}
G_math_free_les(les);
G_message("\t * testing ccmath positive definite matrix inversion with "
"symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
G_math_psinv(les->A, les->rows);
G_math_d_Ax(les->A, les->b, les->x, les->rows, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->x, &val, les->rows);
if ((val - (double)les->rows) > EPSILON_ITER) {
G_warning("Error in G_math_psinv abs %2.20f != %i", val, les->rows);
sum++;
}
G_math_free_les(les);
G_message("\t * testing ccmath eigenvalue solver with symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
// Results of the eigenvalue computation with ocatve
les->b[9] = 0.043264;
les->b[8] = 0.049529;
les->b[7] = 0.057406;
les->b[6] = 0.067696;
les->b[5] = 0.081639;
les->b[4] = 0.101357;
les->b[3] = 0.130298;
les->b[2] = 0.174596;
les->b[1] = 0.256157;
les->b[0] = 0.502549;
G_math_eigval(les->A, les->x, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->b, &val, les->rows);
G_math_d_asum_norm(les->x, &val2, les->rows);
if ((val - val2) > EPSILON_ITER) {
G_warning("Error in G_math_eigv abs %2.20f != %f", val, val2);
sum++;
}
G_math_free_les(les);
G_message(
"\t * testing ccmath eigenvector computation with symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
// Results of the eigenvalue computation with ocatve
les->b[9] = 0.043264;
les->b[8] = 0.049529;
les->b[7] = 0.057406;
les->b[6] = 0.067696;
les->b[5] = 0.081639;
les->b[4] = 0.101357;
les->b[3] = 0.130298;
les->b[2] = 0.174596;
les->b[1] = 0.256157;
les->b[0] = 0.502549;
G_math_eigen(les->A, les->x, les->rows);
G_math_print_les(les);
G_math_d_asum_norm(les->b, &val, les->rows);
G_math_d_asum_norm(les->x, &val2, les->rows);
if ((val - val2) > EPSILON_ITER) {
G_warning("Error in G_math_eigen abs %2.20f != %f", val, val2);
sum++;
}
G_math_free_les(les);
G_message("\t * testing ccmath singulare value decomposition with "
"symmetric matrix\n");
les = create_normal_symmetric_les(TEST_NUM_ROWS);
G_math_svdval(les->x, les->A, les->rows, les->rows);
G_math_print_les(les);
G_math_free_les(les);
return sum;
}
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