arb/mag/geom_series.c
2016-04-26 17:20:05 +02:00

48 lines
954 B
C

/*
Copyright (C) 2015 Fredrik Johansson
This file is part of Arb.
Arb 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "mag.h"
void
mag_geom_series(mag_t res, const mag_t x, ulong n)
{
if (mag_is_zero(x))
{
if (n == 0)
mag_one(res);
else
mag_zero(res);
}
else if (mag_is_inf(x))
{
mag_inf(res);
}
else
{
mag_t t;
mag_init(t);
mag_one(t);
mag_sub_lower(t, t, x);
if (mag_is_zero(t))
{
mag_inf(res);
}
else
{
mag_pow_ui(res, x, n);
mag_div(res, res, t);
}
mag_clear(t);
}
}