public void TestFromBytes()
{
byte[] input1 = { 0 };
Action action = () => ECPoint.FromBytes(input1, ECCurve.Secp256k1);
action.Should().Throw <FormatException>();
byte[] input2 = { 4, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152, 72,
58, 218, 119, 38, 163, 196, 101, 93, 164, 251, 252, 14, 17, 8, 168, 253, 23, 180, 72, 166, 133, 84, 25, 156, 71, 208, 143, 251, 16, 212, 184 };
ECPoint.FromBytes(input2, ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
byte[] input3 = { 2, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152 };
ECPoint.FromBytes(input3, ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
ECPoint.FromBytes(input2.Skip(1).ToArray(), ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
byte[] input4 = GeneratePrivateKey(72);
ECPoint.FromBytes(input4, ECCurve.Secp256k1).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("3634473727541135791764834762056624681715094789735830699031648" +
"273128038409767"), ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("18165245710263168158644330920009617039772504630129940696140050972160274286151"),
ECCurve.Secp256k1), ECCurve.Secp256k1));
byte[] input5 = GeneratePrivateKey(96);
ECPoint.FromBytes(input5, ECCurve.Secp256k1).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("1780731860627700044960722568376592200742329637303199754547598" +
"369979440671"), ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("14532552714582660066924456880521368950258152170031413196862950297402215317055"),
ECCurve.Secp256k1), ECCurve.Secp256k1));
byte[] input6 = GeneratePrivateKey(104);
ECPoint.FromBytes(input6, ECCurve.Secp256k1).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("3634473727541135791764834762056624681715094789735830699031648" +
"273128038409767"), ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("18165245710263168158644330920009617039772504630129940696140050972160274286151"),
ECCurve.Secp256k1), ECCurve.Secp256k1));
}
public void TestOpMultiply()
{
ECPoint p = null;
byte[] n = new byte[] { 1 };
Action action = () => p = p * n;
action.Should().Throw <ArgumentNullException>();
p = ECCurve.Secp256k1.G;
n = null;
action.Should().Throw <ArgumentNullException>();
n = new byte[] { 1 };
action.Should().Throw <ArgumentException>();
p = ECCurve.Secp256k1.Infinity;
n = new byte[32];
(p * n).Should().Be(p);
p = ECCurve.Secp256k1.G;
(p * n).Should().Be(ECCurve.Secp256k1.Infinity);
n[0] = 1;
(p * n).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("63395642421589016740518975608504846303065672135176650115036476193363423546538"), ECCurve.Secp256k1),
new ECFieldElement(BigInteger.Parse("29236048674093813394523910922582374630829081423043497254162533033164154049666"), ECCurve.Secp256k1), ECCurve.Secp256k1));
}
public void TestEncodePoint()
{
ECPoint point = new ECPoint(null, null, ECCurve.Secp256k1);
byte[] result1 = { 0 };
point.EncodePoint(true).Should().BeEquivalentTo(result1);
point = ECCurve.Secp256k1.G;
byte[] result2 = { 4, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152, 72,
58, 218, 119, 38, 163, 196, 101, 93, 164, 251, 252, 14, 17, 8, 168, 253, 23, 180, 72, 166, 133, 84, 25, 156, 71, 208, 143, 251, 16, 212, 184 };
point.EncodePoint(false).Should().BeEquivalentTo(result2);
point.EncodePoint(false).Should().BeEquivalentTo(result2);
byte[] result3 = { 2, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152 };
point.EncodePoint(true).Should().BeEquivalentTo(result3);
point.EncodePoint(true).Should().BeEquivalentTo(result3);
point = ECCurve.Secp256r1.G;
byte[] result4 = { 3, 107, 23, 209, 242, 225, 44, 66, 71, 248, 188, 230, 229, 99, 164, 64, 242, 119, 3, 125, 129, 45, 235, 51, 160, 244, 161, 57, 69, 216, 152, 194, 150 };
point.EncodePoint(true).Should().BeEquivalentTo(result4);
point.EncodePoint(true).Should().BeEquivalentTo(result4);
// Test cache
point = ECPoint.DecodePoint(ECCurve.Secp256r1.G.EncodePoint(true), ECCurve.Secp256r1);
point.EncodePoint(true).Should().BeEquivalentTo(result4);
point.EncodePoint(true).Should().BeEquivalentTo(result4);
byte[] result5 = "046b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c2964fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5".HexToBytes();
point = ECPoint.DecodePoint(ECCurve.Secp256r1.G.EncodePoint(false), ECCurve.Secp256r1);
point.EncodePoint(true).Should().BeEquivalentTo(result4);
point.EncodePoint(true).Should().BeEquivalentTo(result4);
point.EncodePoint(false).Should().BeEquivalentTo(result5);
point.EncodePoint(false).Should().BeEquivalentTo(result5);
}
public void TestTryParse()
{
ECPoint.TryParse("00", ECCurve.Secp256k1, out ECPoint result).Should().BeFalse();
result.Should().BeNull();
ECPoint.TryParse("0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", ECCurve.Secp256k1,
out result).Should().BeTrue();
result.Should().Be(ECCurve.Secp256k1.G);
}
public void TestSerialize()
{
MemoryStream stream = new MemoryStream();
ECPoint point = new ECPoint(null, null, ECCurve.Secp256k1);
ISerializable serializable = point;
serializable.Serialize(new BinaryWriter(stream));
stream.ToArray().Should().BeEquivalentTo(new byte[] { 0 });
}
public void TestDeserialize()
{
ECPoint point = new ECPoint(null, null, ECCurve.Secp256k1);
ISerializable serializable = point;
byte[] input = { 4, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152,
72, 58, 218, 119, 38, 163, 196, 101, 93, 164, 251, 252, 14, 17, 8, 168, 253, 23, 180, 72, 166, 133, 84, 25, 156, 71, 208, 143, 251, 16, 212, 184 };
serializable.Deserialize(new BinaryReader(new MemoryStream(input)));
point.X.Should().Be(ECCurve.Secp256k1.G.X);
point.Y.Should().Be(ECCurve.Secp256k1.G.Y);
}
public void TestDeserializeFrom()
{
byte[] input1 = { 0 };
Action action = () => ECPoint.DeserializeFrom(new BinaryReader(new MemoryStream(input1)), ECCurve.Secp256k1);
action.Should().Throw <FormatException>();
byte[] input2 = { 4, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152, 72,
58, 218, 119, 38, 163, 196, 101, 93, 164, 251, 252, 14, 17, 8, 168, 253, 23, 180, 72, 166, 133, 84, 25, 156, 71, 208, 143, 251, 16, 212, 184 };
ECPoint.DeserializeFrom(new BinaryReader(new MemoryStream(input2)), ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
action = () => ECPoint.DeserializeFrom(new BinaryReader(new MemoryStream(input2.Take(32).ToArray())), ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
action.Should().Throw <FormatException>();
byte[] input3 = { 2, 121, 190, 102, 126, 249, 220, 187, 172, 85, 160, 98, 149, 206, 135, 11, 7, 2, 155, 252, 219, 45, 206, 40, 217, 89, 242, 129, 91, 22, 248, 23, 152 };
ECPoint.DeserializeFrom(new BinaryReader(new MemoryStream(input3)), ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
byte[] input4 = { 3, 107, 23, 209, 242, 225, 44, 66, 71, 248, 188, 230, 229, 99, 164, 64, 242, 119, 3, 125, 129, 45, 235, 51, 160, 244, 161, 57, 69, 216, 152, 194, 150 };
ECPoint.DeserializeFrom(new BinaryReader(new MemoryStream(input4)), ECCurve.Secp256r1).Should().Be(ECCurve.Secp256r1.G);
action = () => ECPoint.DeserializeFrom(new BinaryReader(new MemoryStream(input3.Take(input3.Length - 1).ToArray())), ECCurve.Secp256k1).Should().Be(ECCurve.Secp256k1.G);
action.Should().Throw <FormatException>();
}
public void TestMultiply()
{
ECPoint p = ECCurve.Secp256k1.G;
BigInteger k = BigInteger.Parse("100");
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("107303582290733097924842193972465022053148211775194373671539518313500194639752"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("103795966108782717446806684023742168462365449272639790795591544606836007446638"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
k = BigInteger.Parse("10000");
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("55279067612272658004429375184716238028207484982037227804583126224321918234542"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("93139664895507357192565643142424306097487832058389223752321585898830257071353"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
k = BigInteger.Parse("10000000000000");
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("115045167963494515061513744671884131783397561769819471159495798754884242293003"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("93759167105263077270762304290738437383691912799231615884447658154878797241853"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
k = BigInteger.Parse("1000000000000000000000000000000000000000");
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("114831276968810911840931876895388845736099852671055832194631099067239418074350"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("16721517996619732311261078486295444964227498319433363271180755596201863690708"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
k = new BigInteger(GeneratePrivateKey(100));
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("19222995016448259376216431079553428738726180595337971417371897285865264889977"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("6637081904924493791520919212064582313497884724460823966446023080706723904419"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
k = new BigInteger(GeneratePrivateKey(120));
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("79652345192111851576650978679091010173409410384772942769927955775006682639778"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("6460429961979335115790346961011058418773289452368186110818621539624566803831"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
k = new BigInteger(GeneratePrivateKey(300));
ECPoint.Multiply(p, k).Should().Be(new ECPoint(new ECFieldElement(BigInteger.Parse("105331914562708556186724786757483927866790351460145374033180496740107603569412"),
ECCurve.Secp256k1), new ECFieldElement(BigInteger.Parse("60523670886755698512704385951571322569877668383890769288780681319304421873758"), ECCurve.Secp256k1),
ECCurve.Secp256k1));
}
public void TestECPointConstructor()
{
ECPoint point = new ECPoint();
point.X.Should().BeNull();
point.Y.Should().BeNull();
point.Curve.Should().Be(ECCurve.Secp256r1);
ECFieldElement X = new ECFieldElement(new BigInteger(100), ECCurve.Secp256k1);
ECFieldElement Y = new ECFieldElement(new BigInteger(200), ECCurve.Secp256k1);
point = new ECPoint(X, Y, ECCurve.Secp256k1);
point.X.Should().Be(X);
point.Y.Should().Be(Y);
point.Curve.Should().Be(ECCurve.Secp256k1);
Action action = () => new ECPoint(X, null, ECCurve.Secp256k1);
action.Should().Throw <ArgumentException>();
action = () => new ECPoint(null, Y, ECCurve.Secp256k1);
action.Should().Throw <ArgumentException>();
action = () => new ECPoint(null, Y, null);
action.Should().Throw <ArgumentException>();
}
public void TestEquals()
{
ECPoint point = ECCurve.Secp256k1.G;
point.Equals(point).Should().BeTrue();
point.Equals(null).Should().BeFalse();
point = new ECPoint(null, null, ECCurve.Secp256k1);
point.Equals(new ECPoint(null, null, ECCurve.Secp256r1)).Should().BeTrue();
point.Equals(ECCurve.Secp256r1.G).Should().BeFalse();
ECCurve.Secp256r1.G.Equals(point).Should().BeFalse();
ECFieldElement X1 = new ECFieldElement(new BigInteger(100), ECCurve.Secp256k1);
ECFieldElement Y1 = new ECFieldElement(new BigInteger(200), ECCurve.Secp256k1);
ECFieldElement X2 = new ECFieldElement(new BigInteger(300), ECCurve.Secp256k1);
ECFieldElement Y2 = new ECFieldElement(new BigInteger(400), ECCurve.Secp256k1);
ECPoint point1 = new ECPoint(X1, Y1, ECCurve.Secp256k1);
ECPoint point2 = new ECPoint(X2, Y1, ECCurve.Secp256k1);
ECPoint point3 = new ECPoint(X1, Y2, ECCurve.Secp256k1);
point1.Equals(point2).Should().BeFalse();
point1.Equals(point3).Should().BeFalse();
}