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/*
Copyright (C) 2014 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "acb.h"
void
acb_cube(acb_t r, const acb_t z, slong prec)
{
#define a acb_realref(z)
#define b acb_imagref(z)
if (arb_is_zero(b))
{
arb_pow_ui(acb_realref(r), a, 3, prec);
arb_zero(acb_imagref(r));
}
else if (arb_is_zero(a))
{
arb_pow_ui(acb_imagref(r), b, 3, prec);
arb_neg(acb_imagref(r), acb_imagref(r));
arb_zero(acb_realref(r));
}
else
{
arb_t t, u, v;
arb_init(t);
arb_init(u);
arb_init(v);
arb_mul(t, a, a, prec);
arb_mul(u, b, b, prec);
arb_set(v, t);
/* t = a^2 - 3b^2 */
arb_submul_ui(t, u, 3, prec);
/* u = -(b^2 - 3a^2) */
arb_submul_ui(u, v, 3, prec);
arb_neg(u, u);
arb_mul(acb_realref(r), t, a, prec);
arb_mul(acb_imagref(r), u, b, prec);
arb_clear(t);
arb_clear(u);
arb_clear(v);
}
#undef a
#undef b
}