public EdPoint Add(EdPoint pointA, EdPoint pointB)
{
var numeratorX = _operator.Add(_operator.Multiply(pointA.X, pointB.Y), _operator.Multiply(pointA.Y, pointB.X));
var numeratorY = _operator.Subtract(_operator.Multiply(pointA.Y, pointB.Y), _operator.Multiply(CoefficientA, _operator.Multiply(pointA.X, pointB.X)));
var denominatorMult = _operator.Multiply(CoefficientD, _operator.Multiply(_operator.Multiply(pointA.X, pointB.X), _operator.Multiply(pointA.Y, pointB.Y)));
var denominatorX = _operator.Add(1, denominatorMult);
var denominatorY = _operator.Subtract(1, denominatorMult);
var x = _operator.Divide(numeratorX, denominatorX);
var y = _operator.Divide(numeratorY, denominatorY);
return(new EdPoint(x, y));
}
public EccPoint Double(EccPoint point)
{
if ((point.X == 0 && point.Y == 0) || point.Infinity)
{
return(point);
}
if (point.Y == 0)
{
throw new ArgumentException("Cannot double a point with y = 0");
}
var numerator = _operator.Add(_operator.Multiply(_operator.Multiply(3, point.X), point.X), CoefficientA);
var denominator = _operator.Multiply(2, point.Y);
var lambda = _operator.Divide(numerator, denominator);
var x = _operator.Subtract(_operator.Multiply(lambda, lambda), _operator.Multiply(2, point.X));
var y = _operator.Subtract(_operator.Multiply(_operator.Subtract(point.X, x), lambda), point.Y);
return(new EccPoint(x, y));
}