arb/acb/root_ui.c
Fredrik Johansson a4a52ff95d add acb_root_ui
2015-11-23 15:09:10 +01:00

60 lines
1.7 KiB
C

/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2015 Fredrik Johansson
******************************************************************************/
#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);
}
}