mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
6bf072eb59
This will allow us to not loose the julia session on error. See also https://github.com/wbhart/flint2/pull/243
52 lines
1.3 KiB
C
52 lines
1.3 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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void
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acb_dirichlet_root_number_theta(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
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{
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arb_t x;
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acb_t eps;
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arb_init(x);
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arb_one(x);
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acb_dirichlet_theta_arb(res, G, chi, x, prec);
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acb_init(eps);
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acb_conj(eps, res);
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acb_div(res, res, eps, prec);
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arb_clear(x);
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acb_clear(eps);
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}
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void
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acb_dirichlet_root_number(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
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{
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if (dirichlet_conductor_char(G, chi) < G->q)
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{
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flint_printf("root number: need primitive character\n");
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flint_abort();
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}
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else if (G->num > 1)
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{
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acb_t iq;
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acb_init(iq);
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acb_dirichlet_gauss_sum_order2(iq, G, chi, prec);
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acb_dirichlet_gauss_sum(res, G, chi, prec);
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acb_div(res, res, iq, prec);
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acb_clear(iq);
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}
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else
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{
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acb_dirichlet_root_number_theta(res, G, chi, prec);
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}
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}
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