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one_dimensional.cpp
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one_dimensional.cpp
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/* Copyright (C) 2005-2020 Massachusetts Institute of Technology
%
% 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.
*/
#include <stdio.h>
#include <stdlib.h>
#include <signal.h>
#include <meep.hpp>
using namespace meep;
using std::complex;
double one(const vec &) { return 1.0; }
#if MEEP_SINGLE
static const double tol = 1e-3, thresh = 1e-10;
#else
static const double tol = 1e-11, thresh = 1e-12;
#endif
int compare(double a, double b, const char *n) {
if (fabs(a - b) > fabs(b) * tol && fabs(b) > thresh) {
master_printf("%s differs by\t%g out of\t%g\n", n, a - b, b);
master_printf("This gives a fractional error of %g\n", fabs(a - b) / fabs(b));
return 0;
}
else {
return 1;
}
}
int compare_point(fields &f1, fields &f2, const vec &p) {
monitor_point m1, m_test;
f1.get_point(&m_test, p);
f2.get_point(&m1, p);
for (int i = 0; i < 10; i++) {
component c = (component)i;
if (f1.gv.has_field(c)) {
complex<double> v1 = m_test.get_component(c), v2 = m1.get_component(c);
if (abs(v1 - v2) > tol * abs(v2) && abs(v2) > thresh) {
master_printf("%s differs: %g %g out of %g %g\n", component_name(c), real(v2 - v1),
imag(v2 - v1), real(v2), imag(v2));
master_printf("This comes out to a fractional error of %g\n", abs(v1 - v2) / abs(v2));
master_printf("Right now I'm looking at %g, time %g\n", p.z(), f1.time());
return 0;
}
}
}
return 1;
}
int test_simple_periodic(double eps(const vec &), int splitting) {
double a = 10.0;
double ttot = 170.0;
grid_volume gv = volone(6.0, a);
structure s1(gv, eps);
structure s(gv, eps, no_pml(), identity(), splitting);
master_printf("Trying splitting into %d chunks...\n", splitting);
fields f(&s);
f.use_bloch(0.0);
f.add_point_source(Hy, 0.7, 2.5, 0.0, 4.0, vec(0.5), 1.0);
f.add_point_source(Ex, 0.8, 0.6, 0.0, 4.0, vec(0.401), 1.0);
fields f1(&s1);
f1.use_bloch(0.0);
f1.add_point_source(Hy, 0.7, 2.5, 0.0, 4.0, vec(0.5), 1.0);
f1.add_point_source(Ex, 0.8, 0.6, 0.0, 4.0, vec(0.401), 1.0);
if (!compare(f1.count_volume(Ex), f.count_volume(Ex), "grid_volume")) return 0;
double field_energy_check_time = 29.0;
while (f.time() < ttot) {
f.step();
f1.step();
if (!compare_point(f, f1, vec(0.5))) return 0;
if (!compare_point(f, f1, vec(0.46))) return 0;
if (!compare_point(f, f1, vec(1.0))) return 0;
if (!compare_point(f, f1, vec(0.01))) return 0;
if (!compare_point(f, f1, vec(0.601))) return 0;
if (f.time() >= field_energy_check_time) {
if (!compare(f.field_energy(), f1.field_energy(), " total energy")) return 0;
if (!compare(f.electric_energy_in_box(gv.surroundings()),
f1.electric_energy_in_box(gv.surroundings()), "electric energy"))
return 0;
if (!compare(f.magnetic_energy_in_box(gv.surroundings()),
f1.magnetic_energy_in_box(gv.surroundings()), "magnetic energy"))
return 0;
field_energy_check_time += 5.0;
}
}
return 1;
}
complex<double> checkers(const vec &pt) {
const double thez = pt.z() + 0.00001;
int z = (int)(thez * 5.0);
int zz = (int)(thez * 10.0);
if (z & 1) return cos(thez);
if (zz & 1) return 2.0;
return 1.0;
}
int test_pattern(double eps(const vec &), int splitting) {
double a = 10.0;
grid_volume gv = volone(6.0, a);
structure s1(gv, eps);
structure s(gv, eps, no_pml(), identity(), splitting);
master_printf("Trying test pattern with %d chunks...\n", splitting);
fields f(&s);
f.use_bloch(0.0);
fields f1(&s1);
f1.use_bloch(0.0);
if (!compare(f1.count_volume(Ex), f.count_volume(Ex), "grid_volume")) return 0;
f1.initialize_field(Hy, checkers);
f.initialize_field(Hy, checkers);
f.step();
f1.step();
if (!compare_point(f, f1, vec(27.99))) return 0;
if (!compare_point(f, f1, vec(42.01))) return 0;
if (!compare_point(f, f1, vec(0.751))) return 0;
if (!compare_point(f, f1, vec(0.01))) return 0;
if (!compare_point(f, f1, vec(1.0))) return 0;
if (!compare(f.field_energy(), f1.field_energy(), " total energy")) return 0;
if (!compare(f.electric_energy_in_box(gv.surroundings()),
f1.electric_energy_in_box(gv.surroundings()), "electric energy"))
return 0;
if (!compare(f.magnetic_energy_in_box(gv.surroundings()),
f1.magnetic_energy_in_box(gv.surroundings()), "magnetic energy"))
return 0;
return 1;
}
int main(int argc, char **argv) {
initialize mpi(argc, argv);
verbosity = 0;
master_printf("Testing one dimension under different splittings...\n");
for (int s = 2; s < 7; s++)
if (!test_pattern(one, s)) abort("error in test_pattern\n");
for (int s = 2; s < 7; s++)
if (!test_simple_periodic(one, s)) abort("error in test_simple_periodic\n");
return 0;
}