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));
}
/// <inheritdoc />
public ECPoint MultiplyScalar(ECPoint e, SecureBigNumber k)
{
using (var ctx = BigNumberContextHandle.CreateSecure())
{
var res = new ECPoint(Handle);
ECPointHandle.Multiply(Handle, res.Handle, BigNumberHandle.Null, e.Handle, k.Handle, ctx);
return(res);
}
}
/// <inheritdoc />
public ECPoint GenerateElement(SecureBigNumber index)
{
using (var ctx = BigNumberContextHandle.CreateSecure())
{
var res = new ECPoint(Handle);
ECPointHandle.Multiply(Handle, res.Handle, index.Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
return(res);
}
}
public void TestIsElement()
{
var algebra = new EllipticCurveAlgebra(EllipticCurveID.Prime256v1);
var groupHandle = algebra.Handle;
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);
Assert.That(algebra.IsPotentialElement(point), "valid point not accepted by IsPotentialElement!");
Assert.That(algebra.IsSafeElement(point), "valid point not accepted by IsSafeElement!");
}
public void TestFromToBytes()
{
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);
byte[] buffer = algebra.ToBytes(point);
var result = algebra.FromBytes(buffer);
Assert.That(result.Equals(point));
}
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));
}
public void TestGenerateElement()
{
var algebra = new EllipticCurveAlgebra(EllipticCurveID.Prime256v1);
var generator = algebra.Generator;
var groupHandle = ECGroupHandle.CreateByCurveNID((int)EllipticCurveID.Prime256v1);
var ctx = BigNumberContextHandle.Create();
var index = SecureBigNumber.FromBigNumber(new BigNumber(
BigInteger.Parse("97752369786356789875745735", System.Globalization.NumberStyles.Integer)
));
var expected = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, expected.Handle, index.Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
var result = algebra.GenerateElement(index);
Assert.That(result.Equals(expected));
}
public void TestMultipy()
{
var algebra = new EllipticCurveAlgebra(EllipticCurveID.Prime256v1);
var generator = algebra.Generator;
var groupHandle = ECGroupHandle.CreateByCurveNID((int)EllipticCurveID.Prime256v1);
var ctx = BigNumberContextHandle.Create();
var factor = SecureBigNumber.FromBigNumber(new BigNumber(13));
var basePointFactor = new BigInteger(27);
var point = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, point.Handle, new BigNumber(basePointFactor).Handle, ECPointHandle.Null, BigNumberHandle.Null, ctx);
var expected = new ECPoint(groupHandle);
ECPointHandle.Multiply(groupHandle, expected.Handle, BigNumberHandle.Null, point.Handle, factor.Handle, ctx);
var result = algebra.MultiplyScalar(point, factor);
Assert.That(result.Equals(expected));
}