mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
121 lines
3.5 KiB
C
121 lines
3.5 KiB
C
/*
|
|
Copyright (C) 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("zeta_series....");
|
|
fflush(stdout);
|
|
|
|
flint_randinit(state);
|
|
|
|
for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
|
|
{
|
|
slong m, n1, n2, bits1, bits2, bits3;
|
|
int deflate;
|
|
arb_poly_t S, A, B, C, D, E, F;
|
|
arb_t a, a1;
|
|
|
|
bits1 = 2 + n_randint(state, 300);
|
|
bits2 = 2 + n_randint(state, 300);
|
|
bits3 = 2 + n_randint(state, 300);
|
|
|
|
m = 1 + n_randint(state, 30);
|
|
n1 = 1 + n_randint(state, 30);
|
|
n2 = 1 + n_randint(state, 30);
|
|
|
|
arb_poly_init(S);
|
|
arb_poly_init(A);
|
|
arb_poly_init(B);
|
|
arb_poly_init(C);
|
|
arb_poly_init(D);
|
|
arb_poly_init(E);
|
|
arb_poly_init(F);
|
|
arb_init(a);
|
|
arb_init(a1);
|
|
|
|
deflate = n_randint(state, 2);
|
|
|
|
arb_poly_randtest(S, state, m, bits1, 3);
|
|
arb_randtest_precise(a, state, bits1, 3);
|
|
arb_poly_set_coeff_arb(S, 0, a);
|
|
|
|
if (n_randint(state, 2))
|
|
arb_randtest(a, state, bits1, 3);
|
|
else
|
|
arb_one(a);
|
|
|
|
arb_poly_zeta_series(A, S, a, deflate, n1, bits2);
|
|
arb_poly_zeta_series(B, S, a, deflate, n2, bits3);
|
|
|
|
arb_poly_set(C, A);
|
|
arb_poly_truncate(C, FLINT_MIN(n1, n2));
|
|
arb_poly_truncate(B, FLINT_MIN(n1, n2));
|
|
|
|
if (!arb_poly_overlaps(B, C))
|
|
{
|
|
flint_printf("FAIL\n\n");
|
|
flint_printf("S = "); arb_poly_printd(S, 15); flint_printf("\n\n");
|
|
flint_printf("a = "); arb_printd(a, 15); 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");
|
|
abort();
|
|
}
|
|
|
|
/* check zeta(s,a) = zeta(s,a+1) + a^(-s) */
|
|
arb_poly_set_arb(D, a);
|
|
arb_poly_log_series(D, D, n1, bits2);
|
|
arb_poly_mullow(D, D, S, n1, bits2);
|
|
arb_poly_neg(D, D);
|
|
arb_poly_exp_series(D, D, n1, bits2);
|
|
|
|
arb_add_ui(a1, a, 1, bits2);
|
|
arb_poly_zeta_series(E, S, a1, deflate, n1, bits2);
|
|
arb_poly_add(E, E, D, bits2);
|
|
|
|
if (!arb_poly_overlaps(A, E))
|
|
{
|
|
flint_printf("FAIL (functional equation)\n\n");
|
|
flint_printf("S = "); arb_poly_printd(S, 15); flint_printf("\n\n");
|
|
flint_printf("a = "); arb_printd(a, 15); flint_printf("\n\n");
|
|
flint_printf("A = "); arb_poly_printd(A, 15); flint_printf("\n\n");
|
|
flint_printf("E = "); arb_poly_printd(A, 15); flint_printf("\n\n");
|
|
abort();
|
|
}
|
|
|
|
arb_poly_zeta_series(S, S, a, deflate, n1, bits2);
|
|
if (!arb_poly_overlaps(A, S))
|
|
{
|
|
flint_printf("FAIL (aliasing)\n\n");
|
|
abort();
|
|
}
|
|
|
|
arb_poly_clear(S);
|
|
arb_poly_clear(A);
|
|
arb_poly_clear(B);
|
|
arb_poly_clear(C);
|
|
arb_poly_clear(D);
|
|
arb_poly_clear(E);
|
|
arb_poly_clear(F);
|
|
arb_clear(a);
|
|
arb_clear(a1);
|
|
}
|
|
|
|
flint_randclear(state);
|
|
flint_cleanup();
|
|
flint_printf("PASS\n");
|
|
return EXIT_SUCCESS;
|
|
}
|
|
|