mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
127 lines
3.5 KiB
C
127 lines
3.5 KiB
C
/*
|
|
Copyright (C) 2016 Fredrik Johansson
|
|
|
|
This file is part of Arb.
|
|
|
|
Arb is free software: you can redistribute it and/or modify it under
|
|
the terms of the GNU Lesser General Public License (LGPL) as published
|
|
by the Free Software Foundation; either version 2.1 of the License, or
|
|
(at your option) any later version. See <http://www.gnu.org/licenses/>.
|
|
*/
|
|
|
|
#include "acb_hypgeom.h"
|
|
|
|
int main()
|
|
{
|
|
slong iter;
|
|
flint_rand_t state;
|
|
|
|
flint_printf("fresnel....");
|
|
fflush(stdout);
|
|
|
|
flint_randinit(state);
|
|
|
|
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
|
|
{
|
|
acb_t z, z2, s, c, u, v;
|
|
slong prec1, prec2;
|
|
int normalized;
|
|
|
|
prec1 = 2 + n_randint(state, 500);
|
|
prec2 = 2 + n_randint(state, 500);
|
|
|
|
acb_init(z);
|
|
acb_init(z2);
|
|
acb_init(s);
|
|
acb_init(c);
|
|
acb_init(u);
|
|
acb_init(v);
|
|
|
|
acb_randtest_special(z, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
|
|
acb_randtest_special(s, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
|
|
acb_randtest_special(c, state, 1 + n_randint(state, 500), 1 + n_randint(state, 100));
|
|
|
|
normalized = n_randint(state, 2);
|
|
|
|
/* test S(z) + i C(z) = sqrt(pi/2) (1+i)/2 erf((1+i)/sqrt(2) z) */
|
|
|
|
/* u = rhs */
|
|
acb_onei(u);
|
|
acb_sqrt(u, u, prec1);
|
|
acb_mul(u, u, z, prec1);
|
|
acb_hypgeom_erf(u, u, prec1);
|
|
acb_mul_onei(v, u);
|
|
acb_add(u, u, v, prec1);
|
|
acb_mul_2exp_si(u, u, -1);
|
|
acb_const_pi(v, prec1);
|
|
acb_mul_2exp_si(v, v, -1);
|
|
acb_sqrt(v, v, prec1);
|
|
acb_mul(u, u, v, prec1);
|
|
|
|
if (normalized)
|
|
{
|
|
acb_const_pi(v, prec2);
|
|
acb_mul_2exp_si(v, v, -1);
|
|
acb_sqrt(v, v, prec2);
|
|
acb_div(z2, z, v, prec2);
|
|
}
|
|
else
|
|
{
|
|
acb_set(z2, z);
|
|
}
|
|
|
|
switch (n_randint(state, 4))
|
|
{
|
|
case 0:
|
|
acb_hypgeom_fresnel(s, c, z2, normalized, prec2);
|
|
break;
|
|
case 1:
|
|
acb_hypgeom_fresnel(s, NULL, z2, normalized, prec2);
|
|
acb_hypgeom_fresnel(NULL, c, z2, normalized, prec2);
|
|
break;
|
|
case 2:
|
|
acb_set(s, z2);
|
|
acb_hypgeom_fresnel(s, c, s, normalized, prec2);
|
|
break;
|
|
case 3:
|
|
acb_set(c, z2);
|
|
acb_hypgeom_fresnel(s, c, c, normalized, prec2);
|
|
break;
|
|
default:
|
|
acb_hypgeom_fresnel(s, c, z2, normalized, prec2);
|
|
}
|
|
|
|
if (normalized)
|
|
{
|
|
acb_mul(s, s, v, prec2);
|
|
acb_mul(c, c, v, prec2);
|
|
}
|
|
|
|
acb_mul_onei(v, c);
|
|
acb_add(v, v, s, prec2);
|
|
|
|
if (!acb_overlaps(u, v))
|
|
{
|
|
flint_printf("FAIL: overlap\n\n");
|
|
flint_printf("z = "); acb_printd(z, 30); flint_printf("\n\n");
|
|
flint_printf("s = "); acb_printd(s, 30); flint_printf("\n\n");
|
|
flint_printf("c = "); acb_printd(c, 30); flint_printf("\n\n");
|
|
flint_printf("u = "); acb_printd(u, 30); flint_printf("\n\n");
|
|
flint_printf("v = "); acb_printd(v, 30); flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
acb_clear(z);
|
|
acb_clear(z2);
|
|
acb_clear(s);
|
|
acb_clear(c);
|
|
acb_clear(u);
|
|
acb_clear(v);
|
|
}
|
|
|
|
flint_randclear(state);
|
|
flint_cleanup();
|
|
flint_printf("PASS\n");
|
|
return EXIT_SUCCESS;
|
|
}
|
|
|