mirror of
https://github.com/vale981/arb
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59 lines
1.7 KiB
C
59 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) 2015 Fredrik Johansson
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******************************************************************************/
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#include "acb_modular.h"
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void
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acb_modular_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_modular_elliptic_k_cpx(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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