mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
6bf072eb59
This will allow us to not loose the julia session on error. See also https://github.com/wbhart/flint2/pull/243
88 lines
2.3 KiB
C
88 lines
2.3 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 <stdio.h>
|
|
#include "acb.h"
|
|
|
|
int main()
|
|
{
|
|
slong iter;
|
|
flint_rand_t state;
|
|
|
|
flint_printf("bernoulli_poly_ui....");
|
|
fflush(stdout);
|
|
|
|
flint_randinit(state);
|
|
|
|
/* test multiplication theorem */
|
|
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
|
|
{
|
|
acb_t x, t, res1, res2;
|
|
ulong n, m, k;
|
|
slong prec;
|
|
|
|
n = n_randint(state, 50);
|
|
m = 1 + n_randint(state, 5);
|
|
prec = 2 + n_randint(state, 200);
|
|
|
|
acb_init(x);
|
|
acb_init(t);
|
|
acb_init(res1);
|
|
acb_init(res2);
|
|
|
|
acb_randtest(x, state, 2 + n_randint(state, 200), 20);
|
|
acb_randtest(res1, state, 2 + n_randint(state, 200), 20);
|
|
|
|
acb_mul_ui(t, x, m, prec);
|
|
acb_bernoulli_poly_ui(res1, n, t, prec);
|
|
|
|
acb_zero(res2);
|
|
for (k = 0; k < m; k++)
|
|
{
|
|
acb_set_ui(t, k);
|
|
acb_div_ui(t, t, m, prec);
|
|
acb_add(t, t, x, prec);
|
|
acb_bernoulli_poly_ui(t, n, t, prec);
|
|
acb_add(res2, res2, t, prec);
|
|
}
|
|
|
|
if (n > 0)
|
|
{
|
|
arb_ui_pow_ui(acb_realref(t), m, n - 1, prec);
|
|
acb_mul_arb(res2, res2, acb_realref(t), prec);
|
|
}
|
|
else
|
|
{
|
|
acb_div_ui(res2, res2, m, prec);
|
|
}
|
|
|
|
if (!acb_overlaps(res1, res2))
|
|
{
|
|
flint_printf("FAIL: overlap\n\n");
|
|
flint_printf("n = %wu, m = %wu\n\n", n, m);
|
|
flint_printf("x = "); acb_printd(x, 15); flint_printf("\n\n");
|
|
flint_printf("res1 = "); acb_printd(res1, 15); flint_printf("\n\n");
|
|
flint_printf("res2 = "); acb_printd(res2, 15); flint_printf("\n\n");
|
|
flint_abort();
|
|
}
|
|
|
|
acb_clear(x);
|
|
acb_clear(t);
|
|
acb_clear(res1);
|
|
acb_clear(res2);
|
|
}
|
|
|
|
flint_randclear(state);
|
|
flint_cleanup();
|
|
flint_printf("PASS\n");
|
|
return EXIT_SUCCESS;
|
|
}
|
|
|