from reference import * def gen_key_agg_vectors(): print("key_agg_vectors.json: Intermediate tweaking result is point at infinity") sk = bytes.fromhex("7FB9E0E687ADA1EEBF7ECFE2F21E73EBDB51A7D450948DFE8D76D7F2D1007671") pk = individual_pk(sk) keygen_ctx = key_agg([pk]) aggpoint, _, _ = keygen_ctx aggsk = key_agg_coeff([pk], pk)*int_from_bytes(sk) % n t = n - aggsk assert point_add(point_mul(G, t), aggpoint) == None is_xonly = False tweak = bytes_from_int(t) assert_raises(ValueError, lambda: apply_tweak(keygen_ctx, tweak, is_xonly), lambda e: True) print(" pubkey:", pk.hex().upper()) print(" tweak: ", tweak.hex().upper()) def check_sign_verify_vectors(): with open(os.path.join(sys.path[0], 'vectors', 'sign_verify_vectors.json')) as f: test_data = json.load(f) X = fromhex_all(test_data["pubkeys"]) pnonce = fromhex_all(test_data["pnonces"]) aggnonces = fromhex_all(test_data["aggnonces"]) msgs = fromhex_all(test_data["msgs"]) valid_test_cases = test_data["valid_test_cases"] for (i, test_case) in enumerate(valid_test_cases): pubkeys = [X[i] for i in test_case["key_indices"]] pubnonces = [pnonce[i] for i in test_case["nonce_indices"]] aggnonce = aggnonces[test_case["aggnonce_index"]] assert nonce_agg(pubnonces) == aggnonce msg = msgs[test_case["msg_index"]] signer_index = test_case["signer_index"] expected = bytes.fromhex(test_case["expected"]) session_ctx = SessionContext(aggnonce, pubkeys, [], [], msg) (Q, _, _, _, R, _) = get_session_values(session_ctx) # Make sure the vectors include tests for both variants of Q and R if i == 0: assert has_even_y(Q) and not has_even_y(R) if i == 1: assert not has_even_y(Q) and has_even_y(R) if i == 2: assert has_even_y(Q) and has_even_y(R) def check_tweak_vectors(): with open(os.path.join(sys.path[0], 'vectors', 'tweak_vectors.json')) as f: test_data = json.load(f) X = fromhex_all(test_data["pubkeys"]) pnonce = fromhex_all(test_data["pnonces"]) tweak = fromhex_all(test_data["tweaks"]) valid_test_cases = test_data["valid_test_cases"] for (i, test_case) in enumerate(valid_test_cases): pubkeys = [X[i] for i in test_case["key_indices"]] tweaks = [tweak[i] for i in test_case["tweak_indices"]] is_xonly = test_case["is_xonly"] _, gacc, _ = key_agg_and_tweak(pubkeys, tweaks, is_xonly) # Make sure the vectors include tests for gacc = 1 and -1 if i == 0: assert gacc == n - 1 if i == 1: assert gacc == 1 def sig_agg_vectors(): print("sig_agg_vectors.json:") sk = fromhex_all([ "7FB9E0E687ADA1EEBF7ECFE2F21E73EBDB51A7D450948DFE8D76D7F2D1007671", "3874D22DE7A7290C49CE7F1DC17D1A8CD8918E1F799055139D57FC0988D04D10", "D0EA1B84481ED1BCFAA39D6775F97BDC9BF8D7C02FD0C009D6D85BAE5EC7B87A", "FC2BF9E056B273AF0A8AABB815E541A3552C142AC10D4FE584F01D2CAB84F577"]) pubkeys = list(map(lambda secret: individual_pk(secret), sk)) indices32 = [i.to_bytes(32, 'big') for i in range(6)] secnonces, pnonces = zip(*[nonce_gen_internal(r, None, pubkeys[0], None, None, None) for r in indices32]) tweaks = fromhex_all([ "B511DA492182A91B0FFB9A98020D55F260AE86D7ECBD0399C7383D59A5F2AF7C", "A815FE049EE3C5AAB66310477FBC8BCCCAC2F3395F59F921C364ACD78A2F48DC", "75448A87274B056468B977BE06EB1E9F657577B7320B0A3376EA51FD420D18A8"]) msg = bytes.fromhex("599C67EA410D005B9DA90817CF03ED3B1C868E4DA4EDF00A5880B0082C237869") psigs = [None] * 9 valid_test_cases = [ { "aggnonce": None, "nonce_indices": [0, 1], "key_indices": [0, 1], "tweak_indices": [], "is_xonly": [], "psig_indices": [0, 1], }, { "aggnonce": None, "nonce_indices": [0, 2], "key_indices": [0, 2], "tweak_indices": [], "is_xonly": [], "psig_indices": [2, 3], }, { "aggnonce": None, "nonce_indices": [0, 3], "key_indices": [0, 2], "tweak_indices": [0], "is_xonly": [False], "psig_indices": [4, 5], }, { "aggnonce": None, "nonce_indices": [0, 4], "key_indices": [0, 3], "tweak_indices": [0, 1, 2], "is_xonly": [True, False, True], "psig_indices": [6, 7], }, ] for (i, test_case) in enumerate(valid_test_cases): is_xonly = test_case["is_xonly"] nonce_indices = test_case["nonce_indices"] key_indices = test_case["key_indices"] psig_indices = test_case["psig_indices"] vec_pnonces = [pnonces[i] for i in nonce_indices] vec_pubkeys = [pubkeys[i] for i in key_indices] vec_tweaks = [tweaks[i] for i in test_case["tweak_indices"]] aggnonce = nonce_agg(vec_pnonces) test_case["aggnonce"] = aggnonce.hex().upper() session_ctx = SessionContext(aggnonce, vec_pubkeys, vec_tweaks, is_xonly, msg) for j in range(len(key_indices)): # WARNING: An actual implementation should _not_ copy the secnonce. # Reusing the secnonce, as we do here for testing purposes, can leak the # secret key. secnonce_tmp = bytearray(secnonces[nonce_indices[j]][:64] + pubkeys[key_indices[j]]) psigs[psig_indices[j]] = sign(secnonce_tmp, sk[key_indices[j]], session_ctx) sig = partial_sig_agg([psigs[i] for i in psig_indices], session_ctx) keygen_ctx = key_agg_and_tweak(vec_pubkeys, vec_tweaks, is_xonly) # To maximize coverage of the sig_agg algorithm, we want one public key # point with an even and one with an odd Y coordinate. if i == 0: assert(has_even_y(keygen_ctx[0])) if i == 1: assert(not has_even_y(keygen_ctx[0])) aggpk = get_xonly_pk(keygen_ctx) assert schnorr_verify(msg, aggpk, sig) test_case["expected"] = sig.hex().upper() error_test_case = { "aggnonce": None, "nonce_indices": [0, 4], "key_indices": [0, 3], "tweak_indices": [0, 1, 2], "is_xonly": [True, False, True], "psig_indices": [7, 8], "error": { "type": "invalid_contribution", "signer": 1, "contrib": "psig", }, "comment": "Partial signature is invalid because it exceeds group size" } psigs[8] = bytes.fromhex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141") vec_pnonces = [pnonces[i] for i in error_test_case["nonce_indices"]] aggnonce = nonce_agg(vec_pnonces) error_test_case["aggnonce"] = aggnonce.hex().upper() def tohex_all(l): return list(map(lambda e: e.hex().upper(), l)) print(json.dumps({ "pubkeys": tohex_all(pubkeys), "pnonces": tohex_all(pnonces), "tweaks": tohex_all(tweaks), "psigs": tohex_all(psigs), "msg": msg.hex().upper(), "valid_test_cases": valid_test_cases, "error_test_cases": [error_test_case] }, indent=4)) gen_key_agg_vectors() check_sign_verify_vectors() check_tweak_vectors() print() sig_agg_vectors()