public void SqrtTest ()
{
IFiniteField[] ffList = new IFiniteField[2];
ffList[0] = new SECP192r1 ();
ffList[1] = new Montgomery (ffList[0].Modulus);
int repeats = 10;
foreach (IFiniteField ff in ffList) {
for (int i = 0; i < repeats; i++) {
Number x = ff.ToElement (Number.CreateRandomElement (ff.Modulus));
Number xx = ff.Multiply (x, x);
Number sqrt = ff.Sqrt (xx);
Assert.IsTrue (ff.Multiply (sqrt, sqrt).CompareTo (xx) == 0);
}
}
}
public void PowTest ()
{
IFiniteField[] ffList = new IFiniteField[2];
ffList[0] = new SECP192r1 ();
ffList[1] = new Montgomery (ffList[0].Modulus);
foreach (IFiniteField ff in ffList) {
Number x = ff.ToElement (Number.CreateRandomElement (ff.Modulus));
Number pow2 = ff.Multiply (x, x);
Number pow3 = ff.Multiply (pow2, x);
Number pow4 = ff.Multiply (pow3, x);
Assert.IsTrue (ff.Pow (x, Number.Zero).CompareTo (ff.ToElement (Number.One)) == 0);
Assert.IsTrue (ff.Pow (x, Number.One).CompareTo (x) == 0);
Assert.IsTrue (ff.Pow (x, Number.Two).CompareTo (pow2) == 0);
Assert.IsTrue (ff.Pow (x, Number.Three).CompareTo (pow3) == 0);
Assert.IsTrue (ff.Pow (x, Number.Four).CompareTo (pow4) == 0);
}
}