arb/arb_poly/test/t-gamma_series.c
Tommy Hofmann 6bf072eb59 Replace abort with flint_abort.
This will allow us to not loose the julia session on error.
See also https://github.com/wbhart/flint2/pull/243
2017-02-28 16:52:57 +01:00

107 lines
3.2 KiB
C

/*
Copyright (C) 2012, 2013 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 "arb_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("gamma_series....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 2000 * arb_test_multiplier(); iter++)
{
slong m, n1, n2, qbits, rbits1, rbits2, rbits3;
fmpq_poly_t A;
arb_poly_t a, b, c, d;
qbits = 2 + n_randint(state, 200);
rbits1 = 2 + n_randint(state, 400);
rbits2 = 2 + n_randint(state, 400);
rbits3 = 2 + n_randint(state, 400);
m = 1 + n_randint(state, 25);
n1 = 1 + n_randint(state, 25);
n2 = 1 + n_randint(state, 25);
fmpq_poly_init(A);
arb_poly_init(a);
arb_poly_init(b);
arb_poly_init(c);
arb_poly_init(d);
fmpq_poly_randtest_not_zero(A, state, m, qbits);
arb_poly_set_fmpq_poly(a, A, rbits1);
arb_poly_gamma_series(b, a, n1, rbits2);
arb_poly_gamma_series(c, a, n2, rbits3);
arb_poly_set(d, b);
arb_poly_truncate(d, FLINT_MIN(n1, n2));
arb_poly_truncate(c, FLINT_MIN(n1, n2));
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL\n\n");
flint_printf("n1 = %wd, n2 = %wd, bits2 = %wd, bits3 = %wd\n", n1, n2, rbits2, rbits3);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_abort();
}
/* check gamma(a) * a = gamma(a+1) */
arb_poly_mullow(c, b, a, n1, rbits2);
arb_poly_set(d, a);
arb_add_ui(d->coeffs, d->coeffs, 1, rbits2);
arb_poly_gamma_series(d, d, n1, rbits2);
if (!arb_poly_overlaps(c, d))
{
flint_printf("FAIL (functional equation, n1 = %wd)\n\n", n1);
flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n");
flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n");
flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n");
flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n");
flint_abort();
}
arb_poly_gamma_series(a, a, n1, rbits2);
if (!arb_poly_overlaps(a, b))
{
flint_printf("FAIL (aliasing)\n\n");
flint_abort();
}
fmpq_poly_clear(A);
arb_poly_clear(a);
arb_poly_clear(b);
arb_poly_clear(c);
arb_poly_clear(d);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}