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/*
Copyright (C) 2015 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_root_ui(acb_t res, const acb_t z, ulong n, slong prec)
{
if (n == 0)
{
acb_indeterminate(res);
}
else if (n == 1)
{
acb_set_round(res, z, prec);
}
else if (n == 2)
{
acb_sqrt(res, z, prec);
}
else if (n == 4)
{
acb_sqrt(res, z, prec + 4);
acb_sqrt(res, res, prec);
}
else if (acb_is_real(z) && arb_is_nonnegative(acb_realref(z)))
{
arb_root(acb_realref(res), acb_realref(z), n, prec);
arb_zero(acb_imagref(res));
}
else
{
acb_log(res, z, prec + 4);
acb_div_ui(res, res, n, prec + 4);
acb_exp(res, res, prec);
}
}