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https://github.com/vale981/arb
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56 lines
1.7 KiB
C
56 lines
1.7 KiB
C
/*=============================================================================
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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
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2016 Pascal Molin
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******************************************************************************/
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#include "acb_dirichlet.h"
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static void
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_acb_dirichlet_nth_root(acb_t res, ulong order, slong prec)
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{
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fmpq_t t;
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fmpq_init(t);
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fmpq_set_si(t, 2, order);
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arb_sin_cos_pi_fmpq(acb_imagref(res), acb_realref(res), t, prec);
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fmpq_clear(t);
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}
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void
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acb_dirichlet_nth_root(acb_t res, ulong order, slong prec)
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{
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switch (order)
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{
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case 1:
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acb_one(res);
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break;
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case 2:
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acb_set_si(res, -1);
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break;
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case 4:
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acb_onei(res);
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break;
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default:
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_acb_dirichlet_nth_root(res, order, prec);
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break;
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}
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}
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