mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
137 lines
2.9 KiB
C
137 lines
2.9 KiB
C
/*
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Copyright (C) 2012 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_mul_naive(acb_t z, const acb_t x, const acb_t y, slong prec)
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{
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#define a acb_realref(x)
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#define b acb_imagref(x)
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#define c acb_realref(y)
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#define d acb_imagref(y)
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#define e acb_realref(z)
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#define f acb_imagref(z)
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if (arb_is_zero(b))
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{
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arb_mul(f, d, a, prec);
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arb_mul(e, c, a, prec);
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}
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else if (arb_is_zero(d))
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{
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arb_mul(f, b, c, prec);
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arb_mul(e, a, c, prec);
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}
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else if (arb_is_zero(a))
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{
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arb_mul(e, c, b, prec);
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arb_mul(f, d, b, prec);
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acb_mul_onei(z, z);
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}
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else if (arb_is_zero(c))
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{
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arb_mul(e, a, d, prec);
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arb_mul(f, b, d, prec);
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acb_mul_onei(z, z);
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}
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/* squaring = a^2-b^2, 2ab */
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else if (x == y)
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{
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/* aliasing */
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if (z == x)
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{
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arb_t t;
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arb_init(t);
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arb_mul(t, a, b, prec);
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arb_mul_2exp_si(t, t, 1);
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arb_mul(e, a, a, prec);
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arb_mul(f, b, b, prec);
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arb_sub(e, e, f, prec);
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arb_swap(f, t);
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arb_clear(t);
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}
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else
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{
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arb_mul(e, a, a, prec);
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arb_mul(f, b, b, prec);
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arb_sub(e, e, f, prec);
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arb_mul(f, a, b, prec);
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arb_mul_2exp_si(f, f, 1);
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}
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}
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else
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{
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/* aliasing */
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if (z == x)
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{
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arb_t t, u;
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arb_init(t);
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arb_init(u);
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arb_mul(t, a, c, prec);
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arb_mul(u, a, d, prec);
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arb_mul(e, b, d, prec);
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arb_sub(e, t, e, prec);
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arb_mul(f, b, c, prec);
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arb_add(f, u, f, prec);
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arb_clear(t);
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arb_clear(u);
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}
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else if (z == y)
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{
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arb_t t, u;
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arb_init(t);
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arb_init(u);
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arb_mul(t, a, c, prec);
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arb_mul(u, b, c, prec);
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arb_mul(e, b, d, prec);
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arb_sub(e, t, e, prec);
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arb_mul(f, a, d, prec);
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arb_add(f, u, f, prec);
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arb_clear(t);
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arb_clear(u);
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}
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else
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{
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arb_t t;
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arb_init(t);
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arb_mul(e, a, c, prec);
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arb_mul(t, b, d, prec);
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arb_sub(e, e, t, prec);
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arb_mul(f, a, d, prec);
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arb_mul(t, b, c, prec);
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arb_add(f, f, t, prec);
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arb_clear(t);
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}
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}
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#undef a
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#undef b
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#undef c
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#undef d
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#undef e
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#undef f
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}
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