public void TestNegate(int elementInt)
{
var exponent = SecureBigNumber.FromBigNumber(new BigNumber(order - 1));
var x = new BigNumber(elementInt);
var negated = groupAlgebra !.Negate(x);
Assert.That(groupAlgebra !.Add(negated, x).Equals(BigNumber.One));
Assert.That(groupAlgebra !.Negate(x).Equals(groupAlgebra !.MultiplyScalar(x, exponent)));
}
[TestCase(5, 13)] // this is not part of the actual (sub)group but the embedding group, we confirm that it works anyways
public void TestMultiplyScalar(int scalarInt, int expectedInt)
{
var k = SecureBigNumber.FromBigNumber(new BigNumber(scalarInt));
var expected = new BigNumber(expectedInt);
var x = new BigNumber(3);
var result = groupAlgebra !.MultiplyScalar(x, k);
Assert.That(result.Equals(expected));
}
public void TestGenerateElement()
{
var k = SecureBigNumber.FromBigNumber(new BigNumber(5));
var result = groupAlgebra !.GenerateElement(k);
var groupGenerator = new BigNumber(generator);
var groupModulo = new BigNumber(prime);
var expected = groupGenerator.ModExp(k, groupModulo);
Assert.That(result.Equals(expected));
}
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));
}