public void Bullet_Proof()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var bulletProof = new BulletProof())
{
// Correct value
ulong value = 300;
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(value, blinding);
var @struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), null, null);
var success = bulletProof.Verify(commit, @struct.proof, null);
Assert.True(success);
// Wrong value
value = 1222344;
var commitWrong = pedersen.Commit(122111, blinding);
@struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), null, null);
success = bulletProof.Verify(commit, @struct.proof, null);
Assert.False(success);
// Wrong binding
value = 122322;
commit = pedersen.Commit(value, blinding);
blinding = secp256k1.CreatePrivateKey();
@struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), null, null);
success = bulletProof.Verify(commit, @struct.proof, null);
Assert.False(success);
}
}
public void Commit_Sum_Random_Keys()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
byte[] Commit(ulong value, byte[] blinding)
{
return(pedersen.Commit(value, blinding));
}
var blindPos = secp256k1.CreatePrivateKey();
var blindNeg = secp256k1.CreatePrivateKey();
var blindSum = pedersen.BlindSum(new List <byte[]> {
blindPos
}, new List <byte[]> {
blindNeg
});
Assert.True(pedersen.VerifyCommitSum(new List <byte[]> {
Commit(101, blindPos)
}, new List <byte[]> {
Commit(75, blindNeg), Commit(26, blindSum)
}));
}
}
public void Verify_Commit_Sum_Random_Keys_Switch()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
byte[] Commit(ulong value, byte[] blinding)
{
return(pedersen.Commit(value, blinding));
}
ulong posValue = 101;
ulong negValue = 75;
var blindPos = pedersen.BlindSwitch(posValue, secp256k1.CreatePrivateKey());
var blindNeg = pedersen.BlindSwitch(negValue, secp256k1.CreatePrivateKey());
var blindSum = pedersen.BlindSum(new List <byte[]> {
blindPos
}, new List <byte[]> {
blindNeg
});
var diff = posValue - negValue;
Assert.True(pedersen.VerifyCommitSum(new List <byte[]> {
Commit(posValue, blindPos)
}, new List <byte[]> {
Commit(negValue, blindNeg), Commit(diff, blindSum)
}));
}
}
static void TestRangeProof()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var rangeProof = new RangeProof())
{
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(100, blinding);
var msg = "Message for signing";
var msgBytes = Encoding.UTF8.GetBytes(msg);
var msgHash = System.Security.Cryptography.SHA256.Create().ComputeHash(msgBytes);
var proof = rangeProof.Proof(0, 100, blinding, commit, msgHash);
var verified = rangeProof.Verify(commit, proof);
var proofInfo = rangeProof.Info(proof);
proofInfo = rangeProof.Rewind(commit, proof, blinding);
var badNonce = secp256k1.CreatePrivateKey();
var badInfo = rangeProof.Rewind(commit, proof, badNonce);
commit = pedersen.Commit(0, blinding);
proof = rangeProof.Proof(0, 0, blinding, commit, msgHash);
rangeProof.Verify(commit, proof);
proofInfo = rangeProof.Rewind(commit, proof, blinding);
}
}
public void Commit_Sum()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
string ToHex(byte[] data)
{
return(BitConverter.ToString(data).Replace("-", string.Empty));
}
var blindA = secp256k1.CreatePrivateKey();
var blindB = secp256k1.CreatePrivateKey();
var commitA = pedersen.Commit(3, blindA);
var commitB = pedersen.Commit(2, blindB);
var blindC = pedersen.BlindSum(new List <byte[]> {
blindA, blindB
}, new List <byte[]> {
});
var commitC = pedersen.Commit(3 + 2, blindC);
var commitD = pedersen.CommitSum(new List <byte[]> {
commitA, commitB
}, new List <byte[]> {
});
Assert.Equal(ToHex(commitC), ToHex(commitD));
var blindE = pedersen.BlindSum(new List <byte[]> {
blindA
}, new List <byte[]> {
blindB
});
var commitE = pedersen.Commit(3 - 2, blindE);
var commitF = pedersen.CommitSum(new List <byte[]> {
commitA
}, new List <byte[]> {
commitB
});
Assert.Equal(ToHex(commitE), ToHex(commitF));
}
}
public void Bullet_Proof_Extra_Commit_Wrong()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var bulletProof = new BulletProof())
{
// Correct extra commit
var extraCommit = new byte[32];
var blinding = secp256k1.CreatePrivateKey();
ulong value = 100033;
var commit = pedersen.Commit(value, blinding);
var @struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), extraCommit, null);
var success = bulletProof.Verify(commit, @struct.proof, extraCommit);
Assert.True(success);
//Wrong extra commit
var extraCommitWrong = new byte[32];
extraCommitWrong[0] = 1;
success = bulletProof.Verify(commit, @struct.proof, extraCommitWrong);
Assert.False(success);
}
}
public void Bullet_Proof_Minimum_Amount()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var bulletProof = new BulletProof())
{
int minValue = 1000;
ulong value = 300;
// Correct value and minimum value
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(value, blinding);
var @struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), null, null);
var success = bulletProof.Verify(commit, @struct.proof, null);
Assert.True(success);
// Wrong value < 1000 and minimum value.
var commitWrong = pedersen.Commit(value, blinding);
@struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), null, null, minValue);
success = bulletProof.Verify(commit, @struct.proof, null, minValue);
Assert.False(success);
}
}
public void Sign_With_PubKey_From_Commitment()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
string ToHex(byte[] data)
{
return(BitConverter.ToString(data).Replace("-", string.Empty));
}
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(0, blinding);
var msg = "Message for signing";
var msgBytes = Encoding.UTF8.GetBytes(msg);
var msgHash = System.Security.Cryptography.SHA256.Create().ComputeHash(msgBytes);
var sig = secp256k1.Sign(msgHash, blinding);
var pubKey = pedersen.ToPublicKey(commit);
Assert.True(secp256k1.Verify(sig, msgHash, pubKey));
var actualPubKey = secp256k1.CreatePublicKey(blinding);
Assert.Equal(ToHex(pubKey), ToHex(actualPubKey));
}
}
static void TestToPublicKey()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
var blinding = secp256k1.CreatePrivateKey();
var commitPos = pedersen.Commit(0, blinding);
var commitNeg = pedersen.Commit(0, blinding);
var blindSum = pedersen.BlindSum(new List <byte[]> {
blinding, blinding
}, new List <byte[]> {
});
var commitSum = pedersen.CommitSum(new List <byte[]> {
commitPos
}, new List <byte[]> {
commitNeg
});
var msg = "Message for signing";
var msgBytes = Encoding.UTF8.GetBytes(msg);
var msgHash = System.Security.Cryptography.SHA256.Create().ComputeHash(msgBytes);
var sig = secp256k1.Sign(msgHash, blinding);
var pubKey = pedersen.ToPublicKey(commitSum);
var verified1 = secp256k1.Verify(sig, msgHash, pubKey);
var pub = secp256k1.CreatePublicKey(blinding);
}
}
public void To_Pubkey()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(5, blinding);
var pubKey = pedersen.ToPublicKey(commit);
Assert.NotNull(pubKey);
}
}
public void Commit_Parse_Serialize()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
var commit = pedersen.Commit(5, secp256k1.CreatePrivateKey());
var parsed = pedersen.CommitParse(commit);
var ser = pedersen.CommitSerialize(parsed);
Assert.Equal(ser, commit);
}
}
public void Range_Proof()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var rangeProof = new RangeProof())
{
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(9, blinding);
var msg = "Message for signing";
var msgBytes = Encoding.UTF8.GetBytes(msg);
var msgHash = System.Security.Cryptography.SHA256.Create().ComputeHash(msgBytes);
var proof = rangeProof.Proof(0, 9, blinding, commit, msgHash);
var verified = rangeProof.Verify(commit, proof);
Assert.True(verified);
var proofInfo = rangeProof.Info(proof);
Assert.True(proofInfo.success);
Assert.Equal(0, (long)proofInfo.min);
Assert.Equal(0, (long)proofInfo.value);
proofInfo = rangeProof.Rewind(commit, proof, blinding);
Assert.True(proofInfo.success);
Assert.Equal(0, (long)proofInfo.min);
Assert.Equal(9, (long)proofInfo.value);
var badNonce = secp256k1.CreatePrivateKey();
var badInfo = rangeProof.Rewind(commit, proof, badNonce);
Assert.False(badInfo.success);
Assert.Equal(0, (long)badInfo.value);
commit = pedersen.Commit(0, blinding);
proof = rangeProof.Proof(0, 0, blinding, commit, msgHash);
rangeProof.Verify(commit, proof);
proofInfo = rangeProof.Rewind(commit, proof, blinding);
Assert.True(proofInfo.success);
Assert.Equal(0, (long)proofInfo.min);
Assert.Equal(0, (long)proofInfo.value);
}
}
static void Main(string[] args)
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var bulletProof = new BulletProof())
{
// Correct valu
int minValue = 1000;
ulong value = 1000;
var blinding = secp256k1.CreatePrivateKey();
var commit = pedersen.Commit(value, blinding);
var @struct = bulletProof.GenProof(value, blinding, (byte[])blinding.Clone(), (byte[])blinding.Clone(), null, null);
var success = bulletProof.Verify(commit, @struct.proof, null);
}
}
static void TestRangeProofOnBlock()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
using (var rangeProof = new RangeProof())
{
var blinding = secp256k1.CreatePrivateKey();
ulong posValue = NaT(3434545);
ulong negValue = NaT(1.123456789123456789);
var diff = posValue - negValue;
var blindPos = pedersen.BlindSwitch(posValue, blinding);
var blindNeg = pedersen.BlindSwitch(negValue, blinding);
var blindSum = pedersen.BlindSum(new List <byte[]> {
blindPos
}, new List <byte[]> {
blindNeg
});
var commitPos = pedersen.Commit(posValue, blindPos);
var commitNeg = pedersen.Commit(negValue, blindNeg);
var commitSum = pedersen.CommitSum(new List <byte[]> {
commitPos
}, new List <byte[]> {
commitNeg
});
var isVerified = pedersen.VerifyCommitSum(new List <byte[]> {
commitPos
}, new List <byte[]> {
commitNeg, commitSum
});
var commitChange = pedersen.Commit(diff, blinding);
var msg = "Message for signing";
var msgBytes = Encoding.UTF8.GetBytes(msg);
var msgHash = System.Security.Cryptography.SHA256.Create().ComputeHash(msgBytes);
var proofStruct = rangeProof.Proof(0, diff, blindSum, commitSum, msgHash);
var verified = rangeProof.Verify(commitSum, proofStruct);
}
}
public void Verify_Commit_Sum_One_Keys()
{
using (var secp256k1 = new Secp256k1())
using (var pedersen = new Pedersen())
{
byte[] Commit(ulong value, byte[] blinding)
{
return(pedersen.Commit(value, blinding));
}
var oneKey = secp256k1.CreatePrivateKey();
Assert.True(pedersen.VerifyCommitSum(new List <byte[]> {
Commit(5, oneKey)
}, new List <byte[]> {
Commit(5, oneKey)
}));
// This will fail.. the values add up to 0. But the keys don't add to 0..
Assert.False(pedersen.VerifyCommitSum(new List <byte[]> {
Commit(3, oneKey), Commit(2, oneKey)
}, new List <byte[]> {
Commit(5, oneKey)
}));
// To add the keys to 0 we need to sum on both side..
var twoKey = pedersen.BlindSum(new List <byte[]> {
oneKey, oneKey
}, new List <byte[]> {
});
Assert.True(pedersen.VerifyCommitSum(new List <byte[]> {
Commit(3, oneKey), Commit(2, oneKey)
}, new List <byte[]> {
Commit(5, twoKey)
}));
}
}
