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
81 lines
2.1 KiB
C
81 lines
2.1 KiB
C
/*
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Copyright (C) 2016 Pascal Molin
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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 prec = 128;
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ulong q;
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flint_printf("gauss....");
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fflush(stdout);
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/* check Gauss sums */
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for (q = 3; q < 250; q ++)
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{
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dirichlet_group_t G;
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dirichlet_char_t chi;
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acb_t s1, s2, s3, s4;
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dirichlet_group_init(G, q);
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dirichlet_char_init(chi, G);
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acb_init(s1);
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acb_init(s2);
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acb_init(s3);
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acb_init(s4);
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dirichlet_char_one(chi, G);
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while (1) {
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acb_dirichlet_gauss_sum_naive(s1, G, chi, prec);
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acb_dirichlet_gauss_sum(s2, G, chi, prec);
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acb_dirichlet_gauss_sum_factor(s3, G, chi, prec);
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if (dirichlet_conductor_char(G, chi) == G->q)
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acb_dirichlet_gauss_sum_theta(s4, G, chi, prec);
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else
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acb_set(s4, s1);
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if (!acb_overlaps(s1, s2)
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|| !acb_overlaps(s1, s3)
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|| !acb_overlaps(s1, s4))
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{
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flint_printf("FAIL: G(chi_%wu(%wu))\n\n", q, chi->n);
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flint_printf("\nnaive ");
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acb_printd(s1, 25);
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flint_printf("\ndefault ");
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acb_printd(s2, 25);
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flint_printf("\nfactor ");
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acb_printd(s3, 25);
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flint_printf("\ntheta ");
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acb_printd(s4, 25);
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flint_abort();
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}
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if (dirichlet_char_next(chi, G) < 0)
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break;
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}
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acb_clear(s1);
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acb_clear(s2);
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acb_clear(s3);
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acb_clear(s4);
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dirichlet_group_clear(G);
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dirichlet_char_clear(chi);
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}
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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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