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test_matrix_conversion.c
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test_matrix_conversion.c
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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_matrix_conversion(void);
/* ************************************************************************* */
/* Performe the solver unit tests ****************************************** */
/* ************************************************************************* */
int unit_test_matrix_conversion(void)
{
int sum = 0;
G_message(_("\n++ Running matrix conversion unit tests ++"));
sum += test_matrix_conversion();
if (sum > 0)
G_warning(_("\n-- Matrix conversion unit tests failure --"));
else
G_message(_("\n-- Matrix conversion unit tests finished successfully --"));
return sum;
}
/* ************************************************************************* */
/* ************************************************************************* */
/* ************************************************************************* */
static void print_matrix(double **A, int rows, int cols)
{
int i, j;
for(i = 0; i < rows; i++) {
for(j = 0; j < cols; j++) {
printf("%g ", A[i][j]);
}
printf("\n");
}
}
/* *************************************************************** */
/* Test all implemented solvers for sparse and normal matrix *** */
/* *************************************************************** */
int test_matrix_conversion(void)
{
int sum = 0;
int i, j;
double val = 0.0;
double **A;
double **B;
double **C;
double **D;
double **E;
double **F;
G_math_spvector **Asp;
G_math_spvector **Asp2;
A = G_alloc_matrix(5,5);
F = G_alloc_matrix(5,5);
G_message("\t * Creating symmetric matrix\n");
A[0][0] = 8;
A[1][1] = 7;
A[2][2] = 6;
A[3][3] = 5;
A[4][4] = 4;
A[0][1] = 3;
A[0][2] = 0;
A[0][3] = 1;
A[0][4] = 0;
A[1][2] = 3;
A[1][3] = 0;
A[1][4] = 1;
A[2][3] = 3;
A[3][4] = 3;
for(i = 0; i < 5; i++)
for(j = 0; j < 5; j++)
A[j][i] = A[i][j];
print_matrix(A, 5, 5);
G_message("\t * Test matrix to band matrix conversion\n");
B = G_math_matrix_to_sband_matrix(A, 5, 4);
print_matrix(B, 5, 4);
G_message("\t * Test matrix to sparse matrix conversion\n");
Asp = G_math_A_to_Asp(A, 5, 0.0);
G_math_print_spmatrix(Asp, 5);
G_message("\t * Test sparse matrix to matrix conversion\n");
C = G_math_Asp_to_A(Asp, 5);
print_matrix(C, 5, 5);
G_message("\t * Test sparse matrix to band matrix conversion\n");
D = G_math_Asp_to_sband_matrix(Asp, 5, 4);
print_matrix(D, 5, 4);
/*Check the band matrix results*/
G_math_d_aA_B(B, D, -1, F, 5, 4);
G_math_d_asum_norm(F[0], &val, 20);
if (val != 0)
{
G_warning("Error in band matrix conversion");
sum++;
}
G_message("\t * Test band matrix to matrix conversion\n");
E = G_math_sband_matrix_to_matrix(D, 5, 4);
print_matrix(E, 5, 5);
/*Check the matrix results*/
G_math_d_aA_B(A, E, -1, F, 5, 5);
G_math_d_asum_norm(F[0], &val, 25);
if (val != 0)
{
G_warning("Error in matrix conversion");
sum++;
}
G_message("\t * Test band matrix to sparse matrix conversion\n");
Asp2 = G_math_sband_matrix_to_Asp(D, 5, 4, 0.0);
G_math_print_spmatrix(Asp2, 5);
return sum;
}