public static BigInteger[] GenerateSignature(BigInteger privateKey, byte[] hash)
{
BigInteger?k = null;
for (int i = 0; i < 100; i++)
{
byte[] kBytes = new byte[33];
rngCsp.GetBytes(kBytes);
kBytes[32] = 0;
k = new BigInteger(kBytes);
var z = Bytes32.ConvetToBigInteger(hash);
if (k.Value.IsZero || k >= Secp256k1.q)
{
continue;
}
var r = Calculate.getPublicByPrivate(k.Value)[0] % Secp256k1.q;
if (r.IsZero)
{
continue;
}
var ss = (z + r * privateKey);
var s = (ss * (k.Value.ModInverse(Secp256k1.q))) % Secp256k1.q;
if (s.IsZero)
{
continue;
}
return(new BigInteger[] { r, s });
}
throw new Exception("Unable to generate signature");
}
public static string GetAddressOfUncompressed(BigInteger[] publicKey)
{
var publicKeyArray1 = HexToByteArray.BigIntegerTo32ByteArray(publicKey[0]);
HexToByteArray.ChangeDirection(ref publicKeyArray1);
var publicKeyArray2 = HexToByteArray.BigIntegerTo32ByteArray(publicKey[1]);
HexToByteArray.ChangeDirection(ref publicKeyArray2);
// var array = HexToByteArray.BigIntegerTo32ByteArray(privateKey);
var resultAdd = Calculate.BiteSplitJoint(new byte[] { 0x04 }, publicKeyArray1);
resultAdd = Calculate.BiteSplitJoint(resultAdd, publicKeyArray2);
Console.WriteLine($"非压缩公钥为{ Hex.BytesToHex(resultAdd)}");
var step3 = ripemd160.ComputeHash(sha256.ComputeHash(resultAdd));
var step4 = Calculate.BiteSplitJoint(new byte[] { 0x00 }, step3);
var step5 = sha256.ComputeHash(sha256.ComputeHash(step4));
var step6 = Calculate.BiteSplitJoint(step4, new byte[] { step5[0], step5[1], step5[2], step5[3] });
return(Calculate.Encode(step6));
//SHA256 sha256 = new SHA256Managed();
//byte[] hash1 = sha256.ComputeHash(resultAdd);
//var pubKeyHash = Hash160.Hash(publicKey.EncodePoint(hash1));
//byte[] hash2 = sha256.ComputeHash(hash1);
//var result = new byte[CheckSumSizeInBytes];
//Buffer.BlockCopy(hash2, 0, result, 0, result.Length);
//byte[] chechHash = Calculate.GetCheckSum(resultAdd);
}
public static bool Check(string inputSting, out System.Numerics.BigInteger privateBigInteger)
{
var privateByte = Base58.Decode(inputSting);
// var privateByte = Hex.HexToBytes32(inputSting);
// var privateKey1 = Calculate.Encode(privateByte);
if (privateByte.Length == 38)
{
if (privateByte[0] == 0x80 && privateByte[33] == 0x01)
{
var m = new List <byte>();
for (var i = 0; i < 34; i++)
{
m.Add(privateByte[i]);
}
byte[] chechHash = Calculate.GetCheckSum(m.ToArray());
if (
chechHash[0] == privateByte[34] &&
chechHash[1] == privateByte[35] &&
chechHash[2] == privateByte[36] &&
chechHash[3] == privateByte[37])
{
privateBigInteger = 0;
for (var i = 1; i < 33; i++)
{
privateBigInteger = privateBigInteger * 256;
privateBigInteger = privateBigInteger + Convert.ToInt32(privateByte[i]);
}
privateBigInteger = privateBigInteger % Secp256k1.q;
return(true);
}
else
{
privateBigInteger = -1;
return(false);
}
}
else
{
privateBigInteger = -1;
return(false);
}
}
else if (privateByte.Length == 37)
{
if (privateByte[0] == 0x80)
{
var m = new List <byte>();
for (var i = 0; i < 33; i++)
{
m.Add(privateByte[i]);
}
byte[] chechHash = Calculate.GetCheckSum(m.ToArray());
if (
chechHash[0] == privateByte[33] &&
chechHash[1] == privateByte[34] &&
chechHash[2] == privateByte[35] &&
chechHash[3] == privateByte[36])
{
privateBigInteger = 0;
for (var i = 1; i < 33; i++)
{
privateBigInteger = privateBigInteger * 256;
privateBigInteger = privateBigInteger + Convert.ToInt32(privateByte[i]);
}
privateBigInteger = privateBigInteger % Secp256k1.q;
return(true);
}
else
{
privateBigInteger = -1;
return(false);
}
}
else
{
privateBigInteger = -1;
return(false);
}
}
else
{
privateBigInteger = -1;
return(false);
}
}
public static string SignMessage()
{
Console.WriteLine("请输入要签名的信息(utf-8)");
var msg = Console.ReadLine();
Console.WriteLine("请输入要私钥");
// output($"拖入您的Base58编码的37位或38位的私钥的路径，用此私钥进行验证.即校验.txt");
var privateKey = Console.ReadLine();
System.Numerics.BigInteger privateBigInteger;
if (PrivateKeyF.Check(privateKey, out privateBigInteger))
{
}
else
{
Console.WriteLine($"请输入正确的私钥！！！");
return("");
}
bool compressed;
string address;
if (privateKey.Length == 51)
{
compressed = false;
address = PublicKeyF.GetAddressOfUncompressed(Calculate.getPublicByPrivate(privateBigInteger));
}
else if (privateKey.Length == 52)
{
compressed = true;
address = PublicKeyF.GetAddressOfcompressed(Calculate.getPublicByPrivate(privateBigInteger));
}
else
{
throw new Exception("");
}
var msgHash = msg_digest(msg);
var signal = PrivateKeyF.Sign(privateBigInteger, msgHash);
var r = signal[0];
var rByte = HexToByteArray.BigIntegerTo32ByteArray(r);
HexToByteArray.ChangeDirection(ref rByte);
var s = signal[1];
var sByte = HexToByteArray.BigIntegerTo32ByteArray(s);
HexToByteArray.ChangeDirection(ref sByte);
// Console.WriteLine($"{Convert.ToBase64String(rByte)}{Convert.ToBase64String(sByte)}");
var sequence = new byte[] { 0 }; //[0];
sequence = sequence.Concat(rByte).ToArray();
sequence = sequence.Concat(sByte).ToArray();
for (var i = 0; i < 4; i++)
{
int nV = 27 + i;
if (compressed)
{
nV += 4;
}
sequence[0] = Convert.ToByte(nV);
var sig = Convert.ToBase64String(sequence);
Console.WriteLine(sig);
var calAddredd = verify_message(sig, msg, compressed ? 1 : 0);
// return sig;
if (calAddredd == address)
{
return(sig);
}
//if (verify_message(sig, msg, compressed ? 1 : 0) == address)
// return sig;
}
return("");
}
public static string verify_message(string signature, string message, int addrtype)
{
byte[] sig;
//try
{
sig = Convert.FromBase64String(signature);
}
//catch (err)
//{
// return false;
//}
if (sig.Length != 65)
{
return("Error e");
}
// extract r,s from signature
var r = Bytes32.ConvetToBigInteger(sig.Skip(1).Take(32).ToArray());
var s = Bytes32.ConvetToBigInteger(sig.Skip(33).Take(32).ToArray());
// var s = BigInteger.fromByteArrayUnsigned(sig.slice(33, 33 + 32));
// get recid
// var compressed = false;
var nV = Convert.ToInt32(sig[0]);
if (nV < 27 || nV >= 35)
{
return("Error e");
}
if (nV >= 31)
{
// compressed = true;
nV -= 4;
}
var recid = new BigInteger(nV - 27);
{
//var z = Bytes32.ConvetToBigInteger(hash); ;
//var w = s.ModInverse(Secp256k1.q);
//var u1 = (z * w) % Secp256k1.q;
//var u2 = (r * w) % Secp256k1.q;
//bool isZero;
//var pt = Calculate.pointPlus(Calculate.getPublicByPrivate(u1), Calculate.getMulValue(u2, publicKey), out isZero);// (publicKey.Multiply(u2));
//if (pt == null)
//{
// return false;
//}
//else
//{
// var pmod = pt[0] % Secp256k1.q;
// return pmod == r;
//}
}
//var ecparams = getSECCurveByName("secp256k1");
//var curve = ecparams.getCurve();
//var a = curve.getA().toBigInteger();
//var b = curve.getB().toBigInteger();
//var p = curve.getQ();
//var G = ecparams.getG();
//var order = ecparams.getN();
//var x = r.add(order.multiply(recid.divide(BigInteger.valueOf(2))));
var x = recid / 2 * Secp256k1.q + r;
//Calculate.getMulValue(,recid / 2);
// var alpha = x.multiply(x).multiply(x).add(a.multiply(x)).add(b).mod(p);
var alpha = (x * x * x + Secp256k1.a * x + Secp256k1.b) % Secp256k1.p;
//var beta = alpha.modPow(p.add(BigInteger.ONE).divide(BigInteger.valueOf(4)), p);
var beta = BigInteger.ModPow(alpha, (Secp256k1.p + 1) / 4, Secp256k1.p);//Calculate.Pow((Secp256k1.p + 1) / 4, alpha);
var y = (beta - recid).IsEven ? beta : (Secp256k1.p - beta);
//var y = beta.subtract(recid).isEven() ? beta : p.subtract(beta);
// var R = new ECPointFp(curve, curve.fromBigInteger(x), curve.fromBigInteger(y));
// var e = BigInteger.fromByteArrayUnsigned(msg_digest(message));
var e = Bytes32.ConvetToBigInteger(msg_digest(message));
// var minus_e = BigInteger.Negate(e)+ % Secp256k1.q;
var minus_e = ((Secp256k1.q - e) % Secp256k1.q + Secp256k1.q) % Secp256k1.q;
var inv_r = Inverse.ex_gcd(r, Secp256k1.q);////BigInteger.mo r.modInverse(order);
//var Q = (R.multiply(s).add(G.multiply(minus_e))).multiply(inv_r);
bool isZero;
var Q__ = Calculate.pointPlus(Calculate.getMulValue(s, new BigInteger[] { x, y }),
Calculate.getPublicByPrivate(minus_e), out isZero);
if (isZero)
{
return("Error e");
}
else
{
var Q = Calculate.getMulValue(inv_r, Q__);
var public_key = PublicKeyF.GetAddressOfcompressed(Q);
if (addrtype == 0)
{
return(PublicKeyF.GetAddressOfUncompressed(Q));
}
else if (addrtype == 1)
{
return(PublicKeyF.GetAddressOfcompressed(Q));
}
else
{
return("Error e");
}
}
}
public static bool checkSign(string signature, string message, string address)
{
byte[] sig;
{
sig = Convert.FromBase64String(signature);
}
if (sig.Length != 65)
{
return(false);
}
// extract r,s from signature
var r = Bytes32.ConvetToBigInteger(sig.Skip(1).Take(32).ToArray());
var s = Bytes32.ConvetToBigInteger(sig.Skip(33).Take(32).ToArray());
// var s = BigInteger.fromByteArrayUnsigned(sig.slice(33, 33 + 32));
// get recid
var compressed = false;
var nV = Convert.ToInt32(sig[0]);
if (nV < 27 || nV >= 35)
{
return(false);
}
if (nV >= 31)
{
compressed = true;
nV -= 4;
}
var recid = new BigInteger(nV - 27);
//var ecparams = getSECCurveByName("secp256k1");
//var curve = ecparams.getCurve();
//var a = curve.getA().toBigInteger();
//var b = curve.getB().toBigInteger();
//var p = curve.getQ();
//var G = ecparams.getG();
//var order = ecparams.getN();
//var x = r.add(order.multiply(recid.divide(BigInteger.valueOf(2))));
var x = recid / 2 * Secp256k1.q + r;
//Calculate.getMulValue(,recid / 2);
// var alpha = x.multiply(x).multiply(x).add(a.multiply(x)).add(b).mod(p);
var alpha = (x * x * x + Secp256k1.a * x + Secp256k1.b) % Secp256k1.p;
//var beta = alpha.modPow(p.add(BigInteger.ONE).divide(BigInteger.valueOf(4)), p);
var beta = BigInteger.ModPow(alpha, (Secp256k1.p + 1) / 4, Secp256k1.p);//Calculate.Pow((Secp256k1.p + 1) / 4, alpha);
var y = (beta - recid).IsEven ? beta : (Secp256k1.p - beta);
//var y = beta.subtract(recid).isEven() ? beta : p.subtract(beta);
// var R = new ECPointFp(curve, curve.fromBigInteger(x), curve.fromBigInteger(y));
// var e = BigInteger.fromByteArrayUnsigned(msg_digest(message));
var e = Bytes32.ConvetToBigInteger(msg_digest(message));
// var minus_e = BigInteger.Negate(e)+ % Secp256k1.q;
var minus_e = ((Secp256k1.q - e) % Secp256k1.q + Secp256k1.q) % Secp256k1.q;
var inv_r = Inverse.ex_gcd(r, Secp256k1.q);////BigInteger.mo r.modInverse(order);
//var Q = (R.multiply(s).add(G.multiply(minus_e))).multiply(inv_r);
bool isZero;
var Q__ = Calculate.pointPlus(Calculate.getMulValue(s, new BigInteger[] { x, y }),
Calculate.getPublicByPrivate(minus_e), out isZero);
if (isZero)
{
return(false);
}
else
{
var Q = Calculate.getMulValue(inv_r, Q__);
// var public_key = PublicKeyF.GetAddressOfcompressed(Q);
if (compressed)
{
var compressedAdress = PublicKeyF.GetAddressOfcompressed(Q);
Console.WriteLine($"compressed Adress:{compressedAdress}");
return(compressedAdress == address);
}
else
{
var unCompressedAdress = PublicKeyF.GetAddressOfUncompressed(Q);
Console.WriteLine($"uncompressed adress:{unCompressedAdress}");
return(unCompressedAdress == address);
}
}
}