mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
85 lines
2.3 KiB
C
85 lines
2.3 KiB
C
/*
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Copyright (C) 2016 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_dirichlet.h"
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int main()
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{
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slong iter;
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flint_rand_t state;
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flint_printf("l_euler_product....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 500 * arb_test_multiplier(); iter++)
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{
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acb_t s, t, u;
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dirichlet_group_t G;
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dirichlet_char_t chi;
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ulong q, k;
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slong prec;
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acb_init(s);
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acb_init(t);
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acb_init(u);
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q = 1 + n_randint(state, 50);
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prec = 2 + n_randint(state, 500);
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k = n_randint(state, n_euler_phi(q));
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dirichlet_group_init(G, q);
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dirichlet_char_init(chi, G);
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dirichlet_char_index(chi, G, k);
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if (n_randint(state, 2))
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{
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acb_set_ui(s, 2 + n_randint(state, prec + 50));
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}
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else
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{
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acb_randtest(s, state, 2 + n_randint(state, 200), 2);
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arb_abs(acb_realref(s), acb_realref(s));
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if (n_randint(state, 2))
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acb_add_ui(s, s, n_randtest(state), prec);
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}
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if (n_randint(state, 2))
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acb_dirichlet_l_hurwitz(t, s, NULL, G, chi, prec);
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else
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acb_dirichlet_l_euler_product(t, s, G, chi, prec * 1.5);
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acb_dirichlet_l_euler_product(u, s, G, chi, prec);
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if (!acb_overlaps(t, u))
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{
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flint_printf("FAIL: overlap\n\n");
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flint_printf("iter = %wd q = %wu k = %wu prec = %wd\n\n", iter, q, k, prec);
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flint_printf("s = "); acb_printn(s, 100, 0); flint_printf("\n\n");
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flint_printf("t = "); acb_printn(t, 100, 0); flint_printf("\n\n");
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flint_printf("u = "); acb_printn(u, 100, 0); flint_printf("\n\n");
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flint_abort();
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}
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dirichlet_char_clear(chi);
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dirichlet_group_clear(G);
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acb_clear(s);
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acb_clear(t);
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acb_clear(u);
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}
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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