/// <summary>
/// millerov agoritam
/// </summary>
/// <param name="a">točka</param>
/// <param name="b">točka</param>
/// <param name="m">red grupe</param>
/// <param name="p">red polja, prim</param>
/// <returns></returns>
private static BigInteger Miller(FpPoint P, FpPoint Q, BigInteger m, BigInteger prim)
{
// Millerov algoritam
string mBin = m.ToString(2);
BigInteger t1 = new BigInteger("1", 10);
BigInteger t2 = new BigInteger("1", 10);
FpPoint V = P;
for (int i = 0; i < m.BitLength; i++)
{
V = (FpPoint)V.Twice();
t1 = t1.ModPow(new BigInteger("2", 10), prim).Multiply(MLF(V, V, Q));
if (mBin[i] == '1')
{
t1 = t1.Multiply(MLF(V, P, Q));
V = (FpPoint)V.Add(P);
}
}
return(t1);
}
public override GroupElement Multiply(GroupElement other)
{
return(new ECElement(point.Add((other as ECElement).point) as FpPoint));
}