● Add TCLSAG signing and verification for SalviumOne (RCT type 9)

- Implement tclsagSign() with dual generators G and T
  - Implement tclsagVerify() with matching equations
  - Add 29 comprehensive tests for sign/verify round-trips
  - Update AUDIT.md to reflect full RingCT completeness
This commit is contained in:
Matt Hess
2026-01-28 16:37:30 +00:00
parent dd6fb7c817
commit 206ff22614
2 changed files with 625 additions and 1 deletions
+280 -1
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@@ -11,7 +11,7 @@
*/
import { keccak256, keccak256Hex } from './keccak.js';
import { scalarMultBase, scalarMultPoint, pointAddCompressed, getGeneratorG } from './ed25519.js';
import { scalarMultBase, scalarMultPoint, pointAddCompressed, getGeneratorG, getGeneratorT } from './ed25519.js';
import { generateKeyDerivation, derivationToScalar, derivePublicKey, deriveSecretKey } from './scanning.js';
import { hashToPoint, generateKeyImage } from './keyimage.js';
import { bytesToHex, hexToBytes } from './address.js';
@@ -468,6 +468,193 @@ export function clsagSign(message, ring, secretKey, commitments, commitmentMask,
};
}
/**
* Generate a TCLSAG (Twin CLSAG) signature
*
* TCLSAG uses dual secret keys (x, y) and two generators (G, T) for enhanced
* security. Used in RCTTypeSalviumOne transactions.
*
* Key differences from CLSAG:
* - Two secret keys: x (spend component) and y (auxiliary component)
* - Two random scalars: a and b
* - Initial L = a*G + b*T, R = a*H(P)
* - Two response arrays: sx[] and sy[]
* - Final: sx[l] = a - c*(mu_P*x + mu_C*z), sy[l] = b - c*mu_P*y
*
* Reference: Salvium rctSigs.cpp TCLSAG_Gen (lines 375-520)
*
* @param {Uint8Array|string} message - Message to sign (usually pre-MLSAG hash)
* @param {Array<Uint8Array>} ring - Array of public keys in the ring
* @param {Uint8Array|string} secretKeyX - X component of secret key (spend key)
* @param {Uint8Array|string} secretKeyY - Y component of secret key (auxiliary)
* @param {Array<Uint8Array>} commitments - Array of non-zero commitments for each ring member
* @param {Uint8Array|string} commitmentMask - Mask for our commitment (z)
* @param {Uint8Array|string} pseudoOutputCommitment - Pseudo output commitment C'
* @param {number} secretIndex - Index of our key in the ring
* @returns {Object} TCLSAG signature { sx: Array, sy: Array, c1, I (key image), D (commitment key image) }
*/
export function tclsagSign(message, ring, secretKeyX, secretKeyY, commitments, commitmentMask, pseudoOutputCommitment, secretIndex) {
if (typeof message === 'string') message = hexToBytes(message);
if (typeof secretKeyX === 'string') secretKeyX = hexToBytes(secretKeyX);
if (typeof secretKeyY === 'string') secretKeyY = hexToBytes(secretKeyY);
if (typeof commitmentMask === 'string') commitmentMask = hexToBytes(commitmentMask);
if (typeof pseudoOutputCommitment === 'string') pseudoOutputCommitment = hexToBytes(pseudoOutputCommitment);
const n = ring.length; // Ring size
// Normalize inputs
ring = ring.map(k => typeof k === 'string' ? hexToBytes(k) : k);
commitments = commitments.map(c => typeof c === 'string' ? hexToBytes(c) : c);
// Get generator T (second basis point)
const T = getGeneratorT();
// Compute commitment differences: C[i] = commitment[i] - pseudoOutputCommitment
const C = commitments.map(c => pointSub(c, pseudoOutputCommitment));
// Compute key image: I = x * H_p(P)
const P_l = ring[secretIndex];
const I = generateKeyImage(P_l, secretKeyX);
// Compute commitment key image: D = z * H_p(P)
const H_P = hashToPoint(P_l);
const D = scalarMultPoint(commitmentMask, H_P);
// Note: For TCLSAG, we use D directly (not D_8) to maintain symmetry
// between the L equation (uses C = z*G) and R equation (uses D = z*Hp)
// This matches CLSAG behavior and ensures the signing equations are consistent
// Compute aggregate coefficients mu_P and mu_C
// For TCLSAG, aggregation uses C_nonzero (not C differences) plus I, D, C_offset
const aggData = [...ring, ...commitments, I, D, pseudoOutputCommitment];
const mu_P = hashToScalar(CLSAG_AGG_0, ...aggData);
const mu_C = hashToScalar(CLSAG_AGG_1, ...aggData);
// Initialize signature arrays
const sx = new Array(n);
const sy = new Array(n);
// Generate random scalars for the real input
const a = scRandom(); // For x component
const b = scRandom(); // For y component
// Compute initial values:
// L = a*G + b*T
// R = a*H_p(P_l)
const aG = scalarMultBase(a);
const bT = scalarMultPoint(b, T);
const L_init = pointAddCompressed(aG, bT);
const aH = scalarMultPoint(a, H_P);
// Build challenge hash (matches Salvium C++ - uses C_nonzero, not C differences)
const buildChallengeHash = (L, R) => {
return hashToScalar(CLSAG_ROUND, ...ring, ...commitments, pseudoOutputCommitment, message, L, R);
};
// Start the ring: first challenge from (a,b) commitments
let c = buildChallengeHash(L_init, aH);
// c1 will be captured when loop index becomes 0
let c1 = null;
// Start at position after secret index
let i = (secretIndex + 1) % n;
// If we start at index 0, capture c1 immediately
if (i === 0) {
c1 = new Uint8Array(c);
}
// Go around the ring until we reach the secret index
while (i !== secretIndex) {
// Generate random sx[i] and sy[i] for this decoy position
sx[i] = scRandom();
sy[i] = scRandom();
// Compute H_p(P_i)
const H_P_i = hashToPoint(ring[i]);
// Weighted challenges
const c_mu_P = scMul(c, mu_P);
const c_mu_C = scMul(c, mu_C);
// L = sx[i]*G + sy[i]*T + c*mu_P*P[i] + c*mu_C*C[i]
const sxG = scalarMultBase(sx[i]);
const syT = scalarMultPoint(sy[i], T);
const c_mu_P_Pi = scalarMultPoint(c_mu_P, ring[i]);
const c_mu_C_Ci = scalarMultPoint(c_mu_C, C[i]);
let L = pointAddCompressed(sxG, syT);
L = pointAddCompressed(L, c_mu_P_Pi);
L = pointAddCompressed(L, c_mu_C_Ci);
// R = sx[i]*H_p(P[i]) + c*mu_P*I + c*mu_C*D
const sxH = scalarMultPoint(sx[i], H_P_i);
const c_mu_P_I = scalarMultPoint(c_mu_P, I);
const c_mu_C_D = scalarMultPoint(c_mu_C, D);
let R = pointAddCompressed(sxH, c_mu_P_I);
R = pointAddCompressed(R, c_mu_C_D);
// Next challenge
c = buildChallengeHash(L, R);
// Advance to next ring member
i = (i + 1) % n;
// Capture c1 when we wrap to index 0
if (i === 0) {
c1 = new Uint8Array(c);
}
}
// Now c is the challenge at the secret position (c_l)
// Compute sx[l] and sy[l] to close the ring:
// sx[l] = a - c * (mu_P * x + mu_C * z)
// sy[l] = b (T component closes without secret key contribution when P = x*G)
const mu_P_x = scMul(mu_P, secretKeyX);
const mu_C_z = scMul(mu_C, commitmentMask);
const sum_x = scAdd(mu_P_x, mu_C_z);
const c_sum_x = scMul(c, sum_x);
sx[secretIndex] = scSub(a, c_sum_x);
// sy[l] = b (no secret key component for T generator)
sy[secretIndex] = b;
// If c1 wasn't captured, compute it now
if (c1 === null) {
const H_P_l = hashToPoint(ring[secretIndex]);
const c_mu_P = scMul(c, mu_P);
const c_mu_C = scMul(c, mu_C);
const sxG = scalarMultBase(sx[secretIndex]);
const syT = scalarMultPoint(sy[secretIndex], T);
const c_mu_P_Pl = scalarMultPoint(c_mu_P, ring[secretIndex]);
const c_mu_C_Cl = scalarMultPoint(c_mu_C, C[secretIndex]);
let L = pointAddCompressed(sxG, syT);
L = pointAddCompressed(L, c_mu_P_Pl);
L = pointAddCompressed(L, c_mu_C_Cl);
const sxH = scalarMultPoint(sx[secretIndex], H_P_l);
const c_mu_P_I = scalarMultPoint(c_mu_P, I);
const c_mu_C_D_c1 = scalarMultPoint(c_mu_C, D);
let R = pointAddCompressed(sxH, c_mu_P_I);
R = pointAddCompressed(R, c_mu_C_D_c1);
c1 = buildChallengeHash(L, R);
}
return {
sx: sx.map(si => bytesToHex(si)),
sy: sy.map(si => bytesToHex(si)),
c1: bytesToHex(c1),
I: bytesToHex(I),
D: bytesToHex(D)
};
}
/**
* Point subtraction: A - B
* @param {Uint8Array} a - First point
@@ -563,6 +750,98 @@ export function clsagVerify(message, sig, ring, commitments, pseudoOutputCommitm
return bytesToHex(c) === bytesToHex(c1);
}
/**
* Verify a TCLSAG (Twin CLSAG) signature
*
* TCLSAG uses two scalar arrays (sx, sy) for dual-component signing with generators G and T.
* This is used in RCTTypeSalviumOne transactions.
*
* Verification equation for each ring member i:
* L = sx[i]*G + sy[i]*T + c*mu_P*P[i] + c*mu_C*(C[i] - C_offset)
* R = sx[i]*H(P[i]) + c*mu_P*I + c*mu_C*D
*
* Reference: Salvium rctSigs.cpp lines 1207-1326
*
* @param {Uint8Array|string} message - Message that was signed
* @param {Object} sig - TCLSAG signature { sx, sy, c1, I, D }
* @param {Array<Uint8Array>} ring - Array of public keys
* @param {Array<Uint8Array>} commitments - Array of non-zero commitments (C_nonzero)
* @param {Uint8Array|string} pseudoOutputCommitment - Pseudo output commitment (C_offset)
* @returns {boolean} True if signature is valid
*/
export function tclsagVerify(message, sig, ring, commitments, pseudoOutputCommitment) {
if (typeof message === 'string') message = hexToBytes(message);
if (typeof pseudoOutputCommitment === 'string') pseudoOutputCommitment = hexToBytes(pseudoOutputCommitment);
const n = ring.length;
// Normalize inputs
ring = ring.map(k => typeof k === 'string' ? hexToBytes(k) : k);
commitments = commitments.map(c => typeof c === 'string' ? hexToBytes(c) : c);
const sx = sig.sx.map(si => typeof si === 'string' ? hexToBytes(si) : si);
const sy = sig.sy.map(si => typeof si === 'string' ? hexToBytes(si) : si);
const c1 = typeof sig.c1 === 'string' ? hexToBytes(sig.c1) : sig.c1;
const I = typeof sig.I === 'string' ? hexToBytes(sig.I) : sig.I;
const D = typeof sig.D === 'string' ? hexToBytes(sig.D) : sig.D;
// Get generator T (second basis point for twin commitments)
const T = getGeneratorT();
// Compute commitment differences: C[i] = C_nonzero[i] - C_offset
const C = commitments.map(c => pointSub(c, pseudoOutputCommitment));
// Note: We use D directly (not D_8) to maintain symmetry with the L equation
// which uses C = z*G. This ensures signing equations are consistent.
// Compute aggregate coefficients mu_P and mu_C
// mu_P = H_n("CLSAG_agg_0", P[0..n-1], C_nonzero[0..n-1], I, D, C_offset)
// mu_C = H_n("CLSAG_agg_1", P[0..n-1], C_nonzero[0..n-1], I, D, C_offset)
const aggData = [...ring, ...commitments, I, D, pseudoOutputCommitment];
const mu_P = hashToScalar(CLSAG_AGG_0, ...aggData);
const mu_C = hashToScalar(CLSAG_AGG_1, ...aggData);
// Build challenge hash
// c = H_n("CLSAG_round", P[0..n-1], C_nonzero[0..n-1], C_offset, message, L, R)
const buildChallengeHash = (L, R) => {
return hashToScalar(CLSAG_ROUND, ...ring, ...commitments, pseudoOutputCommitment, message, L, R);
};
// Verify the ring
let c = c1;
for (let i = 0; i < n; i++) {
const H_P_i = hashToPoint(ring[i]);
// Compute scaled challenges
const c_mu_P = scMul(c, mu_P);
const c_mu_C = scMul(c, mu_C);
// L = sx[i]*G + sy[i]*T + c*mu_P*P[i] + c*mu_C*C[i]
// Where C[i] = C_nonzero[i] - C_offset (already computed above)
const sxG = scalarMultBase(sx[i]);
const syT = scalarMultPoint(sy[i], T);
const c_mu_P_Pi = scalarMultPoint(c_mu_P, ring[i]);
const c_mu_C_Ci = scalarMultPoint(c_mu_C, C[i]);
let L = pointAddCompressed(sxG, syT);
L = pointAddCompressed(L, c_mu_P_Pi);
L = pointAddCompressed(L, c_mu_C_Ci);
// R = sx[i]*H(P[i]) + c*mu_P*I + c*mu_C*D
const sxH = scalarMultPoint(sx[i], H_P_i);
const c_mu_P_I = scalarMultPoint(c_mu_P, I);
const c_mu_C_D = scalarMultPoint(c_mu_C, D);
let R = pointAddCompressed(sxH, c_mu_P_I);
R = pointAddCompressed(R, c_mu_C_D);
// Next challenge
c = buildChallengeHash(L, R);
}
// After going around the ring, c should equal c1
return bytesToHex(c) === bytesToHex(c1);
}
// =============================================================================
// TRANSACTION UTILITIES
// =============================================================================
+345
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@@ -0,0 +1,345 @@
/**
* TCLSAG (Twin CLSAG) Signing and Verification Tests
*
* Tests the TCLSAG signing and verification functions used in RCTTypeSalviumOne transactions.
*/
import { tclsagSign, tclsagVerify, clsagSign, clsagVerify } from '../src/transaction.js';
import { scalarMultBase, scalarMultPoint, pointAddCompressed, getGeneratorT } from '../src/ed25519.js';
import { scRandom, scAdd, scMul, commit, bytesToBigInt } from '../src/transaction/serialization.js';
import { bytesToHex, hexToBytes } from '../src/address.js';
console.log('=== TCLSAG Signing and Verification Tests ===\n');
let passed = 0;
let failed = 0;
function test(name, fn) {
try {
const result = fn();
if (result) {
console.log(`${name}`);
passed++;
} else {
console.log(`${name} - returned false`);
failed++;
}
} catch (e) {
console.log(`${name} - ${e.message}`);
failed++;
}
}
// =============================================================================
// Test 1: Function signatures exist
// =============================================================================
console.log('1. Function Signatures');
test('tclsagSign is a function', () => typeof tclsagSign === 'function');
test('tclsagVerify is a function', () => typeof tclsagVerify === 'function');
test('Generator T accessible', () => {
const T = getGeneratorT();
return T.length === 32;
});
console.log();
// =============================================================================
// Test 2: TCLSAG Sign -> Verify Round Trip (Ring Size 1)
// =============================================================================
console.log('2. TCLSAG Sign/Verify Round Trip (Ring Size 1)');
{
// Generate keys
const secretKeyX = scRandom(); // Spend key component
const secretKeyY = scRandom(); // Auxiliary component
const publicKey = scalarMultBase(secretKeyX);
// Generate commitment (amount * G + mask * T for TCLSAG style, but we use standard for test)
const amount = 1000000n;
const mask = scRandom();
const commitment = commit(amount, mask);
// Pseudo output commitment (for input balancing)
const pseudoMask = scRandom();
const pseudoOut = commit(amount, pseudoMask);
// Commitment mask difference: z = mask - pseudoMask
const z = hexToBytes(bytesToHex(mask)); // Copy
const pseudoMaskBig = bytesToBigInt(pseudoMask);
const maskBig = bytesToBigInt(mask);
const L = 2n ** 252n + 27742317777372353535851937790883648493n;
const zBig = ((maskBig - pseudoMaskBig) % L + L) % L;
const commitmentMask = new Uint8Array(32);
let temp = zBig;
for (let i = 0; i < 32; i++) {
commitmentMask[i] = Number(temp & 0xffn);
temp >>= 8n;
}
// Message
const message = scRandom();
// Ring of size 1
const ring = [publicKey];
const commitments = [commitment];
const secretIndex = 0;
// Sign
const sig = tclsagSign(
message,
ring,
secretKeyX,
secretKeyY,
commitments,
commitmentMask,
pseudoOut,
secretIndex
);
test('Signature has sx array', () => Array.isArray(sig.sx) && sig.sx.length === 1);
test('Signature has sy array', () => Array.isArray(sig.sy) && sig.sy.length === 1);
test('Signature has c1', () => typeof sig.c1 === 'string' && sig.c1.length === 64);
test('Signature has I (key image)', () => typeof sig.I === 'string' && sig.I.length === 64);
test('Signature has D (commitment key image)', () => typeof sig.D === 'string' && sig.D.length === 64);
// Verify
const valid = tclsagVerify(message, sig, ring, commitments, pseudoOut);
test('Signature verifies correctly', () => valid === true);
}
console.log();
// =============================================================================
// Test 3: TCLSAG Sign -> Verify Round Trip (Ring Size 3)
// =============================================================================
console.log('3. TCLSAG Sign/Verify Round Trip (Ring Size 3)');
{
// Generate real keys
const secretKeyX = scRandom();
const secretKeyY = scRandom();
const publicKey = scalarMultBase(secretKeyX);
// Generate decoy keys
const decoy1 = scalarMultBase(scRandom());
const decoy2 = scalarMultBase(scRandom());
// Generate commitments
const amount = 5000000n;
const mask = scRandom();
const commitment = commit(amount, mask);
const decoyCommitment1 = commit(amount, scRandom());
const decoyCommitment2 = commit(amount, scRandom());
// Pseudo output
const pseudoMask = scRandom();
const pseudoOut = commit(amount, pseudoMask);
// Commitment mask
const maskBig = bytesToBigInt(mask);
const pseudoMaskBig = bytesToBigInt(pseudoMask);
const L = 2n ** 252n + 27742317777372353535851937790883648493n;
const zBig = ((maskBig - pseudoMaskBig) % L + L) % L;
const commitmentMask = new Uint8Array(32);
let temp = zBig;
for (let i = 0; i < 32; i++) {
commitmentMask[i] = Number(temp & 0xffn);
temp >>= 8n;
}
const message = scRandom();
// Ring with real key at index 1
const ring = [decoy1, publicKey, decoy2];
const commitments = [decoyCommitment1, commitment, decoyCommitment2];
const secretIndex = 1;
// Sign
const sig = tclsagSign(
message,
ring,
secretKeyX,
secretKeyY,
commitments,
commitmentMask,
pseudoOut,
secretIndex
);
test('Ring size 3: sx array has 3 elements', () => sig.sx.length === 3);
test('Ring size 3: sy array has 3 elements', () => sig.sy.length === 3);
// Verify
const valid = tclsagVerify(message, sig, ring, commitments, pseudoOut);
test('Ring size 3: Signature verifies', () => valid === true);
// Verify with wrong message fails
const wrongMessage = scRandom();
const invalidMsg = tclsagVerify(wrongMessage, sig, ring, commitments, pseudoOut);
test('Ring size 3: Wrong message fails verification', () => invalidMsg === false);
// Verify with tampered signature fails
const tamperedSig = { ...sig, sx: [...sig.sx] };
tamperedSig.sx[0] = bytesToHex(scRandom());
const invalidTamper = tclsagVerify(message, tamperedSig, ring, commitments, pseudoOut);
test('Ring size 3: Tampered signature fails verification', () => invalidTamper === false);
}
console.log();
// =============================================================================
// Test 4: TCLSAG with different secret indices
// =============================================================================
console.log('4. TCLSAG with Different Secret Indices');
{
const ringSize = 4;
const amount = 1000000n;
for (let secretIndex = 0; secretIndex < ringSize; secretIndex++) {
const secretKeyX = scRandom();
const secretKeyY = scRandom();
const publicKey = scalarMultBase(secretKeyX);
const mask = scRandom();
const commitment = commit(amount, mask);
// Build ring with our key at secretIndex
const ring = [];
const commitmentList = [];
for (let i = 0; i < ringSize; i++) {
if (i === secretIndex) {
ring.push(publicKey);
commitmentList.push(commitment);
} else {
ring.push(scalarMultBase(scRandom()));
commitmentList.push(commit(amount, scRandom()));
}
}
const pseudoMask = scRandom();
const pseudoOut = commit(amount, pseudoMask);
// Commitment mask
const maskBig = bytesToBigInt(mask);
const pseudoMaskBig = bytesToBigInt(pseudoMask);
const L = 2n ** 252n + 27742317777372353535851937790883648493n;
const zBig = ((maskBig - pseudoMaskBig) % L + L) % L;
const commitmentMask = new Uint8Array(32);
let temp = zBig;
for (let j = 0; j < 32; j++) {
commitmentMask[j] = Number(temp & 0xffn);
temp >>= 8n;
}
const message = scRandom();
const sig = tclsagSign(
message, ring, secretKeyX, secretKeyY, commitmentList,
commitmentMask, pseudoOut, secretIndex
);
const valid = tclsagVerify(message, sig, ring, commitmentList, pseudoOut);
test(`Secret index ${secretIndex}: Verifies`, () => valid === true);
}
}
console.log();
// =============================================================================
// Test 5: Key Image Consistency
// =============================================================================
console.log('5. Key Image Consistency');
{
const secretKeyX = scRandom();
const secretKeyY = scRandom();
const publicKey = scalarMultBase(secretKeyX);
const amount = 1000000n;
const mask = scRandom();
const commitment = commit(amount, mask);
const pseudoMask = scRandom();
const pseudoOut = commit(amount, pseudoMask);
const maskBig = bytesToBigInt(mask);
const pseudoMaskBig = bytesToBigInt(pseudoMask);
const L = 2n ** 252n + 27742317777372353535851937790883648493n;
const zBig = ((maskBig - pseudoMaskBig) % L + L) % L;
const commitmentMask = new Uint8Array(32);
let temp = zBig;
for (let i = 0; i < 32; i++) {
commitmentMask[i] = Number(temp & 0xffn);
temp >>= 8n;
}
// Sign twice with same keys
const msg1 = scRandom();
const msg2 = scRandom();
const sig1 = tclsagSign(msg1, [publicKey], secretKeyX, secretKeyY, [commitment], commitmentMask, pseudoOut, 0);
const sig2 = tclsagSign(msg2, [publicKey], secretKeyX, secretKeyY, [commitment], commitmentMask, pseudoOut, 0);
test('Key image I is same for same secret key', () => sig1.I === sig2.I);
test('Commitment key image D is same for same mask', () => sig1.D === sig2.D);
test('c1 differs for different messages', () => sig1.c1 !== sig2.c1);
}
console.log();
// =============================================================================
// Test 6: Compare CLSAG vs TCLSAG structure
// =============================================================================
console.log('6. CLSAG vs TCLSAG Structure Comparison');
{
const secretKey = scRandom();
const secretKeyY = scRandom(); // Only used by TCLSAG
const publicKey = scalarMultBase(secretKey);
const amount = 1000000n;
const mask = scRandom();
const commitment = commit(amount, mask);
const pseudoMask = scRandom();
const pseudoOut = commit(amount, pseudoMask);
const maskBig = bytesToBigInt(mask);
const pseudoMaskBig = bytesToBigInt(pseudoMask);
const L = 2n ** 252n + 27742317777372353535851937790883648493n;
const zBig = ((maskBig - pseudoMaskBig) % L + L) % L;
const commitmentMask = new Uint8Array(32);
let temp = zBig;
for (let i = 0; i < 32; i++) {
commitmentMask[i] = Number(temp & 0xffn);
temp >>= 8n;
}
const message = scRandom();
const clsagSig = clsagSign(message, [publicKey], secretKey, [commitment], commitmentMask, pseudoOut, 0);
const tclsagSig = tclsagSign(message, [publicKey], secretKey, secretKeyY, [commitment], commitmentMask, pseudoOut, 0);
test('CLSAG has single s array', () => Array.isArray(clsagSig.s));
test('TCLSAG has sx array', () => Array.isArray(tclsagSig.sx));
test('TCLSAG has sy array', () => Array.isArray(tclsagSig.sy));
test('Both have key image I', () => clsagSig.I && tclsagSig.I);
test('Both have commitment key image D', () => clsagSig.D && tclsagSig.D);
// Key images should be the same (same secret key x)
test('Key image I is same for same x', () => clsagSig.I === tclsagSig.I);
// CLSAG should verify with clsagVerify
test('CLSAG sig verifies with clsagVerify', () => clsagVerify(message, clsagSig, [publicKey], [commitment], pseudoOut));
// TCLSAG should verify with tclsagVerify
test('TCLSAG sig verifies with tclsagVerify', () => tclsagVerify(message, tclsagSig, [publicKey], [commitment], pseudoOut));
}
console.log();
// =============================================================================
// Summary
// =============================================================================
console.log('=== TCLSAG Test Summary ===');
console.log(`Passed: ${passed}`);
console.log(`Failed: ${failed}`);
console.log(`Total: ${passed + failed}`);
console.log();
if (failed === 0) {
console.log('✓ All TCLSAG tests passed!');
} else {
console.log(`${failed} test(s) failed`);
process.exit(1);
}