public Point(FieldElement a, FieldElement b, FieldElement x, FieldElement y)
{
A = a;
B = b;
X = x;
Y = y;
// X and Y being null represents the point at infinity
if (x == null && y == null)
{
return;
}
// make sure that the elliptic curve equation is satisfied
// y^2 == x^3 + a*x + b
if (y.Pow(2) != x.Pow(3) + a * x + b)
{
throw new Exception(string.Format("{0}, {1} is not on the curve", x, y));
}
}
public static Point CreatePointAtInfinity(FieldElement a, FieldElement b)
{
return(new Point(a, b, null, null));
}
