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/* siman/test.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Mark Galassi
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#include <config.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <gsl/gsl_test.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_siman.h>
#include <gsl/gsl_ieee_utils.h>
#include <stdio.h>
/* set up parameters for this simulated annealing run */
#define N_TRIES 200 /* how many points do we try before stepping */
#define ITERS_FIXED_T 1000 /* how many iterations for each T? */
#define STEP_SIZE 1.0 /* max step size in random walk */
#define K 1.0 /* Boltzmann constant */
#define T_INITIAL 0.008 /* initial temperature */
#define MU_T 1.003 /* damping factor for temperature */
#define T_MIN 2.0e-6
gsl_siman_params_t params = {N_TRIES, ITERS_FIXED_T, STEP_SIZE,
K, T_INITIAL, MU_T, T_MIN};
double square (double x) ;
double square (double x) { return x * x ; }
double E1(void *xp);
double M1(void *xp, void *yp);
void S1(const gsl_rng * r, void *xp, double step_size);
void P1(void *xp);
/* now some functions to test in one dimension */
double E1(void *xp)
{
double x = * ((double *) xp);
return exp(-square(x-1))*sin(8*x) - exp(-square(x-1000))*0.89;
}
double M1(void *xp, void *yp)
{
double x = *((double *) xp);
double y = *((double *) yp);
return fabs(x - y);
}
void S1(const gsl_rng * r, void *xp, double step_size)
{
double old_x = *((double *) xp);
double new_x;
new_x = gsl_rng_uniform(r)*2*step_size - step_size + old_x;
memcpy(xp, &new_x, sizeof(new_x));
}
void P1(void *xp)
{
printf(" %12g ", *((double *) xp));
}
int main(void)
{
double x_min = 1.36312999455315182 ;
double x ;
gsl_rng * r = gsl_rng_alloc (gsl_rng_env_setup()) ;
gsl_ieee_env_setup ();
/* The function tested here has multiple mimima.
The global minimum is at x = 1.36312999, (f = -0.87287)
There is a local minimum at x = 0.60146196, (f = -0.84893) */
x = -10.0 ;
gsl_siman_solve(r, &x, E1, S1, M1, NULL, NULL, NULL, NULL,
sizeof(double), params);
gsl_test_rel(x, x_min, 1e-3, "f(x)= exp(-(x-1)^2) sin(8x), x0=-10") ;
x = +10.0 ;
gsl_siman_solve(r, &x, E1, S1, M1, NULL, NULL, NULL, NULL,
sizeof(double), params);
gsl_test_rel(x, x_min, 1e-3, "f(x)= exp(-(x-1)^2) sin(8x), x0=10") ;
/* Start at the false minimum */
x = +0.6 ;
gsl_siman_solve(r, &x, E1, S1, M1, NULL, NULL, NULL, NULL,
sizeof(double), params);
gsl_test_rel(x, x_min, 1e-3, "f(x)= exp(-(x-1)^2) sin(8x), x0=0.6") ;
x = +0.5 ;
gsl_siman_solve(r, &x, E1, S1, M1, NULL, NULL, NULL, NULL,
sizeof(double), params);
gsl_test_rel(x, x_min, 1e-3, "f(x)= exp(-(x-1)^2) sin(8x), x0=0.5") ;
x = +0.4 ;
gsl_siman_solve(r, &x, E1, S1, M1, NULL, NULL, NULL, NULL,
sizeof(double), params);
gsl_test_rel(x, x_min, 1e-3, "f(x)= exp(-(x-1)^2) sin(8x), x0=0.4") ;
gsl_rng_free(r);
exit (gsl_test_summary ());
#ifdef JUNK
x0.D1 = 12.0;
printf("#one dimensional problem, x0 = %f\n", x0.D1);
gsl_siman_Usolve(r, &x0, test_E_1D, test_step_1D, distance_1D,
print_pos_1D, params);
x0.D2[0] = 12.0;
x0.D2[1] = 5.5;
printf("#two dimensional problem, (x0,y0) = (%f,%f)\n",
x0.D2[0], x0.D2[1]);
gsl_siman_Usolve(r, &x0, test_E_2D, test_step_2D, distance_2D,
print_pos_2D, params);
x0.D3[0] = 12.2;
x0.D3[1] = 5.5;
x0.D3[2] = -15.5;
printf("#three dimensional problem, (x0,y0,z0) = (%f,%f,%f)\n",
x0.D3[0], x0.D3[1], x0.D3[2]);
gsl_siman_Usolve(r, &x0, test_E_3D, test_step_3D, distance_3D,
print_pos_3D, params);
x0.D2[0] = 12.2;
x0.D2[1] = 5.5;
gsl_siman_solve(r, &x0, test_E_2D, test_step_2D, distance_2D, print_pos_2D, params);
x0.D3[0] = 12.2;
x0.D3[1] = 5.5;
x0.D3[2] = -15.5;
gsl_siman_solve(r, &x0, test_E_3D, test_step_3D, distance_3D, print_pos_3D, params);
return 0;
#endif
}
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