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Original file line number Diff line number Diff line change
Expand Up @@ -206,7 +206,7 @@ private static byte[] sign(ECPrivateKeyParameters privateKey, byte[] m, byte[] a
{
BigInteger n = SECP256K1.getN();

// Step 1: d' = int(sk); fail if d' = 0 or d' >= n.
// Step 1-2: d' = int(sk); fail if d' = 0 or d' >= n.
BigInteger d = privateKey.getD();
if (d.signum() <= 0 || d.compareTo(n) >= 0)
{
Expand All @@ -215,15 +215,15 @@ private static byte[] sign(ECPrivateKeyParameters privateKey, byte[] m, byte[] a

ECMultiplier mult = new FixedPointCombMultiplier();

// Steps 4-5: P = d' * G; d = d' if has_even_y(P) else n - d'.
// Steps 3-4: P = d' * G; d = d' if has_even_y(P) else n - d'.
ECPoint P_pt = mult.multiply(SECP256K1.getG(), d).normalize();
if (!hasEvenY(P_pt))
{
d = n.subtract(d);
}
byte[] pBytes = xBytes(P_pt);

// Steps 6-8: t = bytes(d) XOR H_aux(a); k' = int(H_nonce(t || bytes(P) || m)) mod n; fail if k' = 0.
// Steps 5-7: t = bytes(d) XOR H_aux(a); k' = int(H_nonce(t || bytes(P) || m)) mod n; fail if k' = 0.
byte[] t = BigIntegers.asUnsignedByteArray(X_SIZE, d);
Bytes.xorTo(X_SIZE, taggedHash(TAG_HASH_AUX, auxRand), t);

Expand All @@ -240,15 +240,15 @@ private static byte[] sign(ECPrivateKeyParameters privateKey, byte[] m, byte[] a
throw new IllegalStateException("BIP-340 nonce derivation produced zero");
}

// Steps 9-10: R = k' * G; k = k' if has_even_y(R) else n - k'.
// Steps 8-9: R = k' * G; k = k' if has_even_y(R) else n - k'.
ECPoint R_pt = mult.multiply(SECP256K1.getG(), k).normalize();
if (!hasEvenY(R_pt))
{
k = n.subtract(k);
}
byte[] rBytes = xBytes(R_pt);

// Steps 11-12: e = int(H_challenge(bytes(R) || bytes(P) || m)) mod n; sig = bytes(R) || bytes((k + e*d) mod n).
// Steps 10-11: e = int(H_challenge(bytes(R) || bytes(P) || m)) mod n; sig = bytes(R) || bytes((k + e*d) mod n).
BigInteger e = challengeScalar(rBytes, pBytes, m);
BigInteger s = k.add(e.multiply(d)).mod(n);

Expand Down