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/*
Copyright (C) 2020 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 "qqbar.h"
void
qqbar_im(qqbar_t res, const qqbar_t x)
{
if (qqbar_sgn_im(x) == 0)
{
qqbar_zero(res);
}
else
{
qqbar_t t;
qqbar_init(t);
if (qqbar_sgn_re(x) == 0)
{
qqbar_i(t);
qqbar_mul(res, x, t);
qqbar_neg(res, res);
}
else
{
qqbar_conj(t, x);
qqbar_sub(res, x, t);
qqbar_i(t);
qqbar_mul(res, res, t);
qqbar_neg(res, res);
qqbar_mul_2exp_si(res, res, -1);
}
arb_zero(acb_imagref(QQBAR_ENCLOSURE(res)));
qqbar_clear(t);
}
}