mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
59 lines
1.3 KiB
C
59 lines
1.3 KiB
C
/*
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Copyright (C) 2014 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_cube(acb_t r, const acb_t z, slong prec)
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{
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#define a acb_realref(z)
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#define b acb_imagref(z)
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if (arb_is_zero(b))
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{
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arb_pow_ui(acb_realref(r), a, 3, prec);
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arb_zero(acb_imagref(r));
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}
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else if (arb_is_zero(a))
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{
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arb_pow_ui(acb_imagref(r), b, 3, prec);
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arb_neg(acb_imagref(r), acb_imagref(r));
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arb_zero(acb_realref(r));
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}
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else
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{
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arb_t t, u, v;
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arb_init(t);
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arb_init(u);
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arb_init(v);
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arb_mul(t, a, a, prec);
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arb_mul(u, b, b, prec);
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arb_set(v, t);
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/* t = a^2 - 3b^2 */
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arb_submul_ui(t, u, 3, prec);
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/* u = -(b^2 - 3a^2) */
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arb_submul_ui(u, v, 3, prec);
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arb_neg(u, u);
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arb_mul(acb_realref(r), t, a, prec);
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arb_mul(acb_imagref(r), u, b, prec);
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arb_clear(t);
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arb_clear(u);
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arb_clear(v);
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}
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#undef a
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#undef b
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}
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