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/*
Copyright (C) 2015 Vladimir Glazachev
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 "aprcl.h"
/*
Returns 1 if gcd(x * y, n) == 1; otherwise returns 0.
*/
int
aprcl_is_mul_coprime_ui_ui(ulong x, ulong y, const fmpz_t n)
{
ulong a, rem;
int result = 0;
rem = fmpz_tdiv_ui(n, x);
a = n_gcd(x, rem); /* a = gcd(x, n % x) */
if (a == 1)
{
rem = fmpz_tdiv_ui(n, y);
result = n_gcd(y, rem) == 1; /* result = gcd(y, m % y) */
}
return result;
}
/*
Returns 1 if gcd(x * y, n) == 1; otherwise returns 0.
*/
int
aprcl_is_mul_coprime_ui_fmpz(ulong x, const fmpz_t y, const fmpz_t n)
{
int is_coprime = 0;
ulong a, rem;
fmpz_t result;
fmpz_init(result);
rem = fmpz_tdiv_ui(n, x);
a = n_gcd(x, rem); /* a = gcd(x, n % x) */
if (a == 1)
{
fmpz_fdiv_r(result, n, y); /* result = n % y */
fmpz_gcd(result, result, y); /* result = gcd(y, n % y) */
is_coprime = fmpz_is_one(result);
}
fmpz_clear(result);
return is_coprime;
}