public void TestAdd()
{
var algebra = new EllipticCurveAlgebra(EllipticCurveID.Prime256v1);
var generator = algebra.Generator;
var groupHandle = ECGroupHandle.CreateByCurveNID((int)EllipticCurveID.Prime256v1);
var ctx = BigNumberContextHandle.Create();
var kA = new BigInteger(27);
var kB = new BigInteger(13);
var pointA = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, pointA.Handle, new BigNumber(kA).Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
var pointB = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, pointB.Handle, new BigNumber(kB).Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
var expected = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, expected.Handle, new BigNumber(kA + kB).Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
var result = algebra.Add(pointA, pointB);
Assert.That(result.Equals(expected));
}
public void TestNeutralElement()
{
var algebra = new EllipticCurveAlgebra(EllipticCurveID.Prime256v1);
var neutralElement = algebra.NeutralElement;
var result = algebra.Add(neutralElement, neutralElement);
Assert.That(result.Equals(neutralElement));
}
public void TestNegate()
{
var algebra = new EllipticCurveAlgebra(EllipticCurveID.Prime256v1);
var generator = algebra.Generator;
var groupHandle = ECGroupHandle.CreateByCurveNID((int)EllipticCurveID.Prime256v1);
var ctx = BigNumberContextHandle.Create();
var index = new BigInteger(3);
var point = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, point.Handle, new BigNumber(index).Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
var result = algebra.Negate(point);
var pointPlusNegated = algebra.Add(point, result);
Assert.That(pointPlusNegated.Equals(algebra.NeutralElement));
}