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https://github.com/vale981/arb
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48 lines
979 B
C
48 lines
979 B
C
/*
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Copyright (C) 2017 Fredrik Johansson
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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.h"
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void
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acb_sinc_pi(acb_t res, const acb_t x, slong prec)
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{
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mag_t m;
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acb_t t;
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if (acb_is_zero(x))
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{
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acb_one(res);
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return;
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}
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mag_init(m);
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acb_init(t);
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acb_get_mag_lower(m, x);
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if (mag_cmp_2exp_si(m, -1) > 0)
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{
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acb_const_pi(t, prec + 4);
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acb_mul(t, t, x, prec + 4);
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acb_sin_pi(res, x, prec + 4);
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acb_div(res, res, t, prec);
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}
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else
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{
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acb_const_pi(t, prec + 4);
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acb_mul(t, t, x, prec + 4);
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acb_sinc(res, t, prec);
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}
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mag_clear(m);
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acb_clear(t);
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}
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