mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
87 lines
2.3 KiB
C
87 lines
2.3 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("jacobi....");
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fflush(stdout);
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/* check Jacobi sums */
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for (q = 29 * 29; q > 1; q = q%2 ? 3*q+1 : q/2)
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{
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slong m1, m2;
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acb_dirichlet_group_t G;
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acb_dirichlet_char_t chi1, chi2;
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acb_t s1, s2;
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acb_dirichlet_group_init(G, q);
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acb_dirichlet_char_init(chi1, G);
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acb_dirichlet_char_init(chi2, G);
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acb_init(s1);
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acb_init(s2);
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acb_dirichlet_char_one(chi1, G);
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for (m1 = 0; m1 < 50; m1++)
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{
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acb_dirichlet_char_one(chi2, G);
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for (m2 = 0; m2 < 50; m2++)
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{
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acb_dirichlet_jacobi_sum_naive(s1, G, chi1, chi2, prec);
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acb_dirichlet_jacobi_sum(s2, G, chi1, chi2, prec);
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if (!acb_overlaps(s1, s2))
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{
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flint_printf("FAIL: J_%wu(%wu,%wu)",
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q, chi1->x->n, chi2->x->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("\n");
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flint_printf("cond = %wu, %wu, %wu\n",
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chi1->conductor, chi2->conductor,
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acb_dirichlet_ui_conductor(G, nmod_mul(chi1->x->n, chi2->x->n, G->mod))
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);
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abort();
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}
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if (acb_dirichlet_char_next(chi2, G) < 0)
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break;
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}
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if (acb_dirichlet_char_next(chi1, 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_dirichlet_group_clear(G);
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acb_dirichlet_char_clear(chi1);
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acb_dirichlet_char_clear(chi2);
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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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