private static MyPoint Add(MyPoint leftOperand, MyPoint rightOperand)
{
if (leftOperand.IsInfinite)
{
return(rightOperand);
}
if (rightOperand.IsInfinite)
{
return(leftOperand);
}
var curve = leftOperand.Curve;
var lambda = GetLambdaForAddition(leftOperand, rightOperand) % curve.Prime;
var newX = (lambda ^ 2) - leftOperand.X - rightOperand.X;
newX = newX % curve.Prime;
var newY = lambda * (leftOperand.X - newX) - leftOperand.Y;
newY = newY % curve.Prime;
var newPoint = new MyPoint(newX, newY, curve);
newPoint.IsOnCurve();
return(newPoint);
}
public MyPoint Negate()
{
var point = new MyPoint(X, Y.Negate(), Curve);
point.IsOnCurve();
return(point);
}
private MyPoint Double()
{
if (IsInfinite)
{
return(this);
}
var lambda = GetLambdaForDoubling() % Curve.Prime;
var newX = (lambda ^ 2) - X * 2;
newX = newX % Curve.Prime;
var newY = (lambda * (X - newX)) - Y;
newY = newY % Curve.Prime;
var newPoint = new MyPoint(newX, newY, Curve);
newPoint.IsOnCurve();
return(newPoint);
}