mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
86 lines
1.9 KiB
C
86 lines
1.9 KiB
C
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/*
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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_elliptic.h"
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void
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_acb_elliptic_rg(acb_t res, const acb_t x, const acb_t y, const acb_t z,
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int flags, slong prec)
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{
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acb_t a, b, c, t;
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slong wp;
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wp = prec + 10;
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acb_init(a);
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acb_init(b);
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acb_init(c);
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acb_init(t);
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acb_elliptic_rf(a, x, y, z, 0, wp);
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acb_mul(a, a, z, wp);
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acb_elliptic_rj(b, x, y, z, z, 0, wp);
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acb_sub(c, x, z, wp);
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acb_mul(b, b, c, wp);
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acb_sub(c, z, y, wp);
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acb_mul(b, b, c, wp);
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acb_div_ui(b, b, 3, wp);
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acb_sqrt(c, x, wp);
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acb_sqrt(t, y, wp);
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acb_mul(c, c, t, wp);
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acb_rsqrt(t, z, wp);
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acb_mul(c, c, t, wp);
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acb_add(res, a, b, wp);
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acb_add(res, res, c, prec);
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acb_mul_2exp_si(res, res, -1);
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acb_clear(a);
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acb_clear(b);
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acb_clear(c);
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acb_clear(t);
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}
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void
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acb_elliptic_rg(acb_t res, const acb_t x, const acb_t y, const acb_t z,
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int flags, slong prec)
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{
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if (acb_is_zero(x) && acb_is_zero(y))
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{
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acb_sqrt(res, z, prec);
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acb_mul_2exp_si(res, res, -1);
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}
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else if (acb_is_zero(x) && acb_is_zero(z))
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{
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acb_sqrt(res, y, prec);
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acb_mul_2exp_si(res, res, -1);
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}
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else if (acb_is_zero(y) && acb_is_zero(z))
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{
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acb_sqrt(res, x, prec);
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acb_mul_2exp_si(res, res, -1);
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}
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else if (acb_contains_zero(z))
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{
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if (acb_contains_zero(y))
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_acb_elliptic_rg(res, y, z, x, flags, prec);
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else
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_acb_elliptic_rg(res, x, z, y, flags, prec);
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}
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else
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{
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_acb_elliptic_rg(res, x, y, z, flags, prec);
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}
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}
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