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/*
test FLRW background model functions - some may be wrappers
Copyright (C) 2013,2018 Jan Ostrowski, Boud Roukema
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, 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., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
See also http://www.gnu.org/licenses/gpl.html
*/
#include <stdio.h>
#include <sys/types.h>
#include "config.h"
#include <math.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_sort.h>
#include <gsl/gsl_statistics.h>
#include <time.h>
/* for malloc_usable_size if available */
#ifdef __GNUC__
#include <malloc.h>
#endif
#include "lib/inhomog.h"
/* FLRW scale factor */
/* int test_scale_factor(
int want_verbose
){
*/
int main(void){
int want_verbose = 1;
#define N_TEST_T 30
#define N_MODELS 2
/* These are for benchmarking purposes of e.g. EdS vs LCDM */
/*
#define HIDE_A 1
#define HIDE_A_DOT 1
#define HIDE_A_DDOT 1
#define HIDE_T 1
*/
struct background_cosm_params_s background_cosm_params;
int i_t;
double delta_t;
double t_i = 0.004574998; /* for z=200, H_0=50, EdS */
double t_0 = 13.04; /* for z=200, H_0=50, EdS */
double t_background[N_TEST_T];
/* test parameters */
double a_test[N_MODELS][N_TEST_T];
double a_dot_test[N_MODELS][N_TEST_T];
double a_ddot_test[N_MODELS][N_TEST_T];
double t_test[N_MODELS][N_TEST_T];
double a_diff[N_TEST_T];
double a_dot_diff[N_TEST_T];
double a_ddot_diff[N_TEST_T];
/* benchmarking */
clock_t benchmark[10]; /* num elements hardwired! */
int i_bench=0;
#define TEST_MAX_ERR 1e-4
#define TEST_MEDIAN_ERR 1e-4
/* The second derivatives have bigger errors when comparing
nearly-but-not-quite identical EdS and flat FLRW models. */
#define TEST_MAX_ERR_DDOT 2e-3
#define TEST_MEDIAN_ERR_DDOT 2e-3
int pass = 0; /* default test status = OK = 0 */
int i_EdS;
delta_t = (t_0-t_i)/((double)(N_TEST_T-1));
background_cosm_params.flatFLRW = 1;
background_cosm_params.inhomog_a_scale_factor_initial = 1.0/201.0;
background_cosm_params.inhomog_a_d_scale_factor_initial = 1.0/201.0;
background_cosm_params.inhomog_a_scale_factor_now = 1.0;
benchmark[i_bench] = clock(); /* initialise timer */
for(i_EdS=0; i_EdS<2; i_EdS++){
background_cosm_params.EdS = i_EdS;
i_bench ++;
benchmark[i_bench]=clock();
printf("beginning of i_EdS = %d loop\n",i_EdS);
print_benchmark(benchmark[i_bench-1],benchmark[i_bench]);
if(1 == background_cosm_params.EdS){
background_cosm_params.H_0 = 50.0;
background_cosm_params.Omm_0 = 1.0;
background_cosm_params.OmLam_0 = 0.0;
}else if(1 == background_cosm_params.flatFLRW){
/* background_cosm_params.H_0 = 70.0;
background_cosm_params.OmLam_0 = 0.73; */
background_cosm_params.H_0 = 50.0;
background_cosm_params.OmLam_0 = 0.001;
background_cosm_params.Omm_0 = 1.0 - background_cosm_params.OmLam_0;
};
background_cosm_params.recalculate_t_0 = 1; /* initially recalculate for this test */
for(i_t=0; i_t<N_TEST_T; i_t++){
t_background[i_t] = t_i + (double)i_t * delta_t;
/* test scale factor and growth function */
if(1 == background_cosm_params.EdS){
#ifndef HIDE_A
a_test[i_EdS][i_t] = a_EdS(&background_cosm_params,
t_background[i_t],
want_verbose);
#endif
#ifndef HIDE_A_DOT
a_dot_test[i_EdS][i_t] =
a_dot_EdS(&background_cosm_params,
t_background[i_t],
want_verbose);
#endif
#ifndef HIDE_A_DDOT
a_ddot_test[i_EdS][i_t] =
a_ddot_EdS(&background_cosm_params,
t_background[i_t],
want_verbose);
#endif
#ifndef HIDE_T
t_test[i_EdS][i_t] = t_EdS(&background_cosm_params,
a_test[i_EdS][i_t],
want_verbose);
#endif
}else if(1 == background_cosm_params.flatFLRW){
#ifndef HIDE_A
a_test[i_EdS][i_t] = a_flatFLRW(&background_cosm_params,
t_background[i_t],
want_verbose);
#endif
#ifndef HIDE_A_DOT
a_dot_test[i_EdS][i_t] =
a_dot_flatFLRW(&background_cosm_params,
t_background[i_t],
want_verbose);
#endif
#ifndef HIDE_A_DDOT
a_ddot_test[i_EdS][i_t] =
a_ddot_flatFLRW(&background_cosm_params,
t_background[i_t],
want_verbose);
#endif
#ifndef HIDE_T
t_test[i_EdS][i_t] = t_flatFLRW(&background_cosm_params,
a_test[i_EdS][i_t],
want_verbose);
#endif
}; /* if(1 == background_cosm_params.EdS) */
}; /* for(i_t=0; i_t<N_TEST_T; i_t++) */
i_bench ++;
benchmark[i_bench]=clock();
printf("...this test took: ");
print_benchmark(benchmark[i_bench-1],benchmark[i_bench]);
}; /* for(i_EdS=0; i_EdS<2; i_EdS++) */
i_bench ++;
benchmark[i_bench]=clock();
printf("...the last few lines took: ");
print_benchmark(benchmark[i_bench-1],benchmark[i_bench]);
printf("tcalc_LCDM/tcalc_EdS: %8u %7.2f \n",
(uint)N_TEST_T,
(double)(benchmark[2]-benchmark[1])/
(double)(benchmark[4]-benchmark[3]));
printf("\ntest_scale_factor:\n");
printf("test scale factors: t a_LCDM a_EdS adot_LCDM adot_EdS t_LCDM t_EdS\n");
printf("background_cosm_params.OmLam_0 = %g\n",
background_cosm_params.OmLam_0);
for(i_t=0; i_t<N_TEST_T; i_t++){
printf(":: %g %g %g %g %g %g %g %g %g\n",
t_background[i_t],
a_test[0][i_t],
a_test[1][i_t],
a_dot_test[0][i_t],
a_dot_test[1][i_t],
a_ddot_test[0][i_t],
a_ddot_test[1][i_t],
t_test[0][i_t] ,
t_test[1][i_t]);
/* relative errors */
a_diff[i_t] = fabs(a_test[0][i_t] - a_test[1][i_t]) * 0.5 /
fabs(a_test[0][i_t] + a_test[1][i_t]);
a_dot_diff[i_t] = fabs(a_dot_test[0][i_t] - a_dot_test[1][i_t]) * 0.5/
fabs(a_dot_test[0][i_t] + a_dot_test[1][i_t]);
a_ddot_diff[i_t] = fabs(a_ddot_test[0][i_t] - a_ddot_test[1][i_t]) * 0.5/
fabs((a_ddot_test[0][i_t] + a_ddot_test[1][i_t]));
};
gsl_sort(a_diff, 1, N_TEST_T);
gsl_sort(a_dot_diff, 1, N_TEST_T);
gsl_sort(a_ddot_diff, 1, N_TEST_T);
printf("median a adot ..., max a adot ... = %g %g %g %g %g %g\n",
gsl_stats_median_from_sorted_data(a_diff, 1, N_TEST_T),
gsl_stats_median_from_sorted_data(a_dot_diff, 1, N_TEST_T),
gsl_stats_median_from_sorted_data(a_ddot_diff, 1, N_TEST_T),
gsl_stats_max(a_diff, 1, N_TEST_T),
gsl_stats_max(a_dot_diff, 1, N_TEST_T),
gsl_stats_max(a_ddot_diff, 1, N_TEST_T));
/* automated test decision */
if(gsl_stats_median_from_sorted_data(a_diff, 1, N_TEST_T) > TEST_MEDIAN_ERR) pass += 1;
if(gsl_stats_median_from_sorted_data(a_dot_diff, 1, N_TEST_T) > TEST_MEDIAN_ERR) pass += 2;
if(gsl_stats_median_from_sorted_data(a_ddot_diff, 1, N_TEST_T) > TEST_MEDIAN_ERR_DDOT) pass += 4;
if(gsl_stats_max(a_diff, 1, N_TEST_T) > TEST_MAX_ERR) pass += 8;
if(gsl_stats_max(a_dot_diff, 1, N_TEST_T) > TEST_MAX_ERR) pass += 16;
if(gsl_stats_max(a_ddot_diff, 1, N_TEST_T) > TEST_MAX_ERR_DDOT) pass += 32;
/* check for any infinities or nans */
if( !(isfinite(gsl_stats_median_from_sorted_data(a_diff, 1, N_TEST_T)) &&
isfinite(gsl_stats_median_from_sorted_data(a_dot_diff, 1, N_TEST_T)) &&
isfinite(gsl_stats_median_from_sorted_data(a_ddot_diff, 1, N_TEST_T)) &&
isfinite(gsl_stats_max(a_diff, 1, N_TEST_T)) &&
isfinite(gsl_stats_max(a_dot_diff, 1, N_TEST_T)) &&
isfinite(gsl_stats_max(a_ddot_diff, 1, N_TEST_T))
) ) pass += 64;
printf("pass = %d\n",pass);
return pass;
}
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