mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
84 lines
2.4 KiB
C
84 lines
2.4 KiB
C
/*
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Copyright (C) 2017 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("hurwitz....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 3000 * arb_test_multiplier(); iter++)
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{
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acb_t s, a, b, z1, z2;
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slong prec1, prec2;
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acb_init(s);
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acb_init(a);
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acb_init(b);
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acb_init(z1);
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acb_init(z2);
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prec1 = 2 + n_randint(state, 200);
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prec2 = 2 + n_randint(state, 200);
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acb_randtest(s, state, 1 + n_randint(state, 500), 3);
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acb_randtest(a, state, 1 + n_randint(state, 500), 3);
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acb_randtest(b, state, 1 + n_randint(state, 500), 10);
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acb_randtest(z1, state, 1 + n_randint(state, 500), 10);
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acb_randtest(z2, state, 1 + n_randint(state, 500), 10);
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if (n_randint(state, 2))
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acb_set_si(a, n_randint(state, 100) - 50);
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if (n_randint(state, 2))
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acb_set_si(s, n_randint(state, 100) - 50);
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/* test zeta(s,a) = 2^(-s) (zeta(s,a/2) + zeta(s,(a+1)/2)) */
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acb_mul_2exp_si(b, a, -1);
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acb_dirichlet_hurwitz(z2, s, b, prec2);
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acb_add_ui(b, a, 1, prec2);
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acb_mul_2exp_si(b, b, -1);
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acb_dirichlet_hurwitz(b, s, b, prec2);
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acb_add(z2, z2, b, prec2);
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acb_neg(b, s);
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acb_set_ui(z1, 2);
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acb_pow(b, z1, b, prec2);
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acb_mul(z2, z2, b, prec2);
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acb_dirichlet_hurwitz(z1, s, a, prec1);
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if (!acb_overlaps(z1, z2))
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{
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flint_printf("FAIL: overlap\n\n");
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flint_printf("s = "); acb_printd(s, 30); flint_printf("\n\n");
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flint_printf("a = "); acb_printd(a, 30); flint_printf("\n\n");
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flint_printf("z1 = "); acb_printd(z1, 30); flint_printf("\n\n");
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flint_printf("z2 = "); acb_printd(z2, 30); flint_printf("\n\n");
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flint_abort();
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}
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acb_clear(s);
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acb_clear(a);
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acb_clear(b);
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acb_clear(z1);
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acb_clear(z2);
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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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