arb/acb_hypgeom/test/t-chebyshev_t.c

96 lines
3 KiB
C

/*=============================================================================
This file is part of ARB.
ARB 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.
ARB 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 ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2015 Fredrik Johansson
******************************************************************************/
#include "acb_hypgeom.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("chebyshev_t....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 2000; iter++)
{
acb_t n, z, a, b, c, t, res1, res2;
slong prec;
acb_init(n);
acb_init(z);
acb_init(a);
acb_init(b);
acb_init(c);
acb_init(t);
acb_init(res1);
acb_init(res2);
prec = 2 + n_randint(state, 300);
acb_randtest_param(n, state, 1 + n_randint(state, 400), 1 + n_randint(state, 10));
acb_randtest_param(z, state, 1 + n_randint(state, 400), 1 + n_randint(state, 10));
acb_randtest_param(res1, state, 1 + n_randint(state, 400), 1 + n_randint(state, 10));
acb_randtest_param(res2, state, 1 + n_randint(state, 400), 1 + n_randint(state, 10));
acb_hypgeom_chebyshev_t(res1, n, z, prec);
acb_neg(a, n);
acb_set(b, n);
acb_one(c);
acb_mul_2exp_si(c, c, -1);
acb_sub_ui(t, z, 1, prec);
acb_neg(t, t);
acb_mul_2exp_si(t, t, -1);
acb_hypgeom_2f1(res2, a, b, c, t, 0, 2 + n_randint(state, 300));
if (!acb_overlaps(res1, res2))
{
flint_printf("FAIL: consistency\n\n");
flint_printf("iter = %wd\n\n", iter);
flint_printf("n = "); acb_printd(n, 30); flint_printf("\n\n");
flint_printf("z = "); acb_printd(z, 30); flint_printf("\n\n");
flint_printf("res1 = "); acb_printd(res1, 30); flint_printf("\n\n");
flint_printf("res2 = "); acb_printd(res2, 30); flint_printf("\n\n");
abort();
}
acb_clear(n);
acb_clear(z);
acb_clear(a);
acb_clear(b);
acb_clear(c);
acb_clear(t);
acb_clear(res1);
acb_clear(res2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}