/*
Copyright (C) 2010 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 "ulong_extras.h"
ulong n_euler_phi(ulong n)
{
int i;
ulong phi;
n_factor_t fac;
if (n < 2)
return n;
n_factor_init(&fac);
n_factor(&fac, n, 1);
phi = UWORD(1);
for (i = 0; i < fac.num; i++)
phi *= (fac.p[i] - 1) * n_pow(fac.p[i], fac.exp[i] - 1);
return phi;
}