public void ExtendedEuclid()
{
for (int i = 1; i <= 100; i++)
{
for (int j = i + 1; j <= 100; j++)
{
Test(i, j);
}
}
void Test(long a, long b)
{
var g = Primes.Gcd(a, b);
a /= g; b /= g;
var(x, y) = Primes.ExtendedEuclid(a, b);
Assert.IsTrue(Math.Abs(x) <= b);
Assert.IsTrue(Math.Abs(y) <= a);
Assert.AreEqual(1, a * x + b * y);
}
}