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https://github.com/vale981/arb
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6bf072eb59
This will allow us to not loose the julia session on error. See also https://github.com/wbhart/flint2/pull/243
35 lines
1.2 KiB
C
35 lines
1.2 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_gauss_sum_theta(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
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{
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ulong cond = dirichlet_conductor_char(G, chi);
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if (cond < G->q || (G->q == 300 && (chi->n == 71 || chi->n == 131))
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|| (G->q == 600 && (chi->n == 11 || chi->n == 491)))
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{
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flint_printf("gauss_sum_theta: non available for non primitive character"
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"or exceptional characters chi_300(71,.), chi_300(131,.), "
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"chi_600(11,.) and chi_600(491,.)\n");
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flint_abort();
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}
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else
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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_root_number_theta(res, G, chi, prec);
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acb_mul(res, res, iq, prec);
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acb_clear(iq);
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}
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}
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