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/*
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"
#include "fmpz.h"
#include "fmpz_factor.h"
int
fmpz_factor_moebius_mu(const fmpz_factor_t fac)
{
slong i;
for (i = 0; i < fac->num; i++)
if (fac->exp[i] != 1)
return 0;
return (fac->num % 2) ? -1 : 1;
}
int
fmpz_moebius_mu(const fmpz_t n)
{
fmpz_factor_t fac;
int mu;
if (fmpz_abs_fits_ui(n))
return n_moebius_mu(fmpz_get_ui(n));
fmpz_factor_init(fac);
fmpz_factor(fac, n);
mu = fmpz_factor_moebius_mu(fac);
fmpz_factor_clear(fac);
return mu;
}