mirror of
https://github.com/vale981/arb
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45 lines
1 KiB
C
45 lines
1 KiB
C
/*
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Copyright (C) 2015 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_elliptic.h"
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void
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acb_elliptic_e(acb_t res, const acb_t m, slong prec)
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{
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if (acb_is_zero(m))
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{
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acb_const_pi(res, prec);
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acb_mul_2exp_si(res, res, -1);
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}
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else if (acb_is_one(m))
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{
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acb_one(res);
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}
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else
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{
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acb_struct t[2];
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acb_init(t + 0);
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acb_init(t + 1);
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acb_elliptic_k_jet(t, m, 2, prec);
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acb_mul(t + 1, t + 1, m, prec);
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acb_mul_2exp_si(t + 1, t + 1, 1);
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acb_add(t, t, t + 1, prec);
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acb_sub_ui(t + 1, m, 1, prec);
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acb_mul(res, t, t + 1, prec);
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acb_neg(res, res);
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acb_clear(t + 0);
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acb_clear(t + 1);
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}
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}
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