예제 #1
0
        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));
        }
예제 #2
0
        public EccPoint Add(EccPoint pointA, EccPoint pointB)
        {
            // Any point added to infinity is itself
            if (pointA.Infinity)
            {
                return(pointB);
            }

            // Any point added to infinity is itself
            if (pointB.Infinity)
            {
                return(pointA);
            }

            // Any point added to its inverse is infinity
            if (pointA.Equals(Negate(pointB)))
            {
                return(new EccPoint("infinity"));
            }

            // Cannot add two identical points, use Double instead
            if (pointA.Equals(pointB))
            {
                return(Double(pointA));
            }

            var numerator   = _operator.Subtract(pointB.Y, pointA.Y);
            var denominator = _operator.Subtract(pointB.X, pointA.X);
            var lambda      = _operator.Divide(numerator, denominator);

            var x = _operator.Subtract(_operator.Subtract(_operator.Multiply(lambda, lambda), pointA.X), pointB.X);
            var y = _operator.Subtract(_operator.Multiply(_operator.Subtract(pointA.X, x), lambda), pointA.Y);

            return(new EccPoint(x, y));
        }