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import csv
from ctypes import (
c_int, c_char_p, c_size_t, c_void_p, create_string_buffer,
)
import io
import unittest
import electrum_ecc as ecc
from electrum_ecc import ECPubkey, ECPrivkey
from electrum_ecc import _libsecp256k1
from electrum_ecc.util import sha256, bip340_tagged_hash
class TestSchnorr(unittest.TestCase):
def test_vectors_from_bip0340(self):
bip0340_vectors = """index,secret key,public key,aux_rand,message,signature,verification result,comment
0,0000000000000000000000000000000000000000000000000000000000000003,F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9,0000000000000000000000000000000000000000000000000000000000000000,0000000000000000000000000000000000000000000000000000000000000000,E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0,TRUE,
1,B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,0000000000000000000000000000000000000000000000000000000000000001,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A,TRUE,
2,C90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9,DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8,C87AA53824B4D7AE2EB035A2B5BBBCCC080E76CDC6D1692C4B0B62D798E6D906,7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C,5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7,TRUE,
3,0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710,25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3,TRUE,test fails if msg is reduced modulo p or n
4,,D69C3509BB99E412E68B0FE8544E72837DFA30746D8BE2AA65975F29D22DC7B9,,4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703,00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6376AFB1548AF603B3EB45C9F8207DEE1060CB71C04E80F593060B07D28308D7F4,TRUE,
5,,EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key not on the curve
6,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2,FALSE,has_even_y(R) is false
7,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,1FA62E331EDBC21C394792D2AB1100A7B432B013DF3F6FF4F99FCB33E0E1515F28890B3EDB6E7189B630448B515CE4F8622A954CFE545735AAEA5134FCCDB2BD,FALSE,negated message
8,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769961764B3AA9B2FFCB6EF947B6887A226E8D7C93E00C5ED0C1834FF0D0C2E6DA6,FALSE,negated s value
9,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,0000000000000000000000000000000000000000000000000000000000000000123DDA8328AF9C23A94C1FEECFD123BA4FB73476F0D594DCB65C6425BD186051,FALSE,sG - eP is infinite. Test fails in single verification if has_even_y(inf) is defined as true and x(inf) as 0
10,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,00000000000000000000000000000000000000000000000000000000000000017615FBAF5AE28864013C099742DEADB4DBA87F11AC6754F93780D5A1837CF197,FALSE,sG - eP is infinite. Test fails in single verification if has_even_y(inf) is defined as true and x(inf) as 1
11,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,sig[0:32] is not an X coordinate on the curve
12,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,sig[0:32] is equal to field size
13,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141,FALSE,sig[32:64] is equal to curve order
14,,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC30,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key is not a valid X coordinate because it exceeds the field size
"""
with io.StringIO(bip0340_vectors) as f:
csvreader = csv.reader(f)
next(csvreader) # skip first line
for idx, seckey, pubkey, aux_rand, message, signature, expected_res, comment in csvreader:
idx = int(idx)
with self.subTest(msg=f"{idx=}"):
try:
pubkey = ECPubkey(bytes.fromhex("02" + pubkey))
except ecc.InvalidECPointException:
if idx in (5, 14, ): # expected for these tests
continue
raise
msg32 = bytes.fromhex(message)
signature = bytes.fromhex(signature)
if seckey:
seckey = ECPrivkey(bytes.fromhex(seckey))
aux_rand = bytes.fromhex(aux_rand)
sig_created = seckey.schnorr_sign(msg32, aux_rand32=aux_rand)
self.assertEqual(signature, sig_created)
is_sig_good = pubkey.schnorr_verify(signature, msg32)
expected_res = True if expected_res == "TRUE" else False
self.assertEqual(expected_res, is_sig_good)
def test_sign_schnorr_aux_rand(self):
seckey = ECPrivkey(bytes.fromhex("B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF"))
msg32 = sha256(b"hello there")
sig1 = seckey.schnorr_sign(msg32, aux_rand32=None)
sig2 = seckey.schnorr_sign(msg32, aux_rand32=b"\x00" * 32)
self.assertEqual(sig1, sig2)
sig3 = seckey.schnorr_sign(msg32, aux_rand32=bytes(range(32)))
self.assertNotEqual(sig1, sig3)
def test_y_parity_malleability(self):
# BIP-0340 says:
# > A hypothetical verification algorithm that treats points as public keys,
# > and takes the point P directly as input would fail any time a point with
# > odd Y is used. While it is possible to correct for this by negating points
# > with odd Y coordinate before further processing, this would result in a scheme
# > where every (message, signature) pair is valid for two public keys (a type of
# > malleability that exists for ECDSA as well, but we don't wish to retain).
# > We avoid these problems by treating just the X coordinate as public key.
#
# As the API in ecc.py treats points as public keys, this malleability exists here:
seckey = ECPrivkey.from_secret_scalar(1337)
pubkey1 = ECPubkey(seckey.get_public_key_bytes())
pubkey2 = ecc.CURVE_ORDER * ecc.GENERATOR + (-1) * pubkey1
self.assertNotEqual(pubkey1.get_public_key_bytes(True), pubkey2.get_public_key_bytes(True))
self.assertEqual(pubkey1.get_public_key_bytes(True)[1:], pubkey2.get_public_key_bytes(True)[1:])
msg32 = sha256(b"hello there")
sig = seckey.schnorr_sign(msg32, aux_rand32=None)
self.assertTrue(pubkey1.schnorr_verify(sig, msg32))
self.assertTrue(pubkey2.schnorr_verify(sig, msg32))
def test_bip340_tagged_hash(self):
try:
_libsecp256k1.secp256k1_tagged_sha256.argtypes = [c_void_p, c_char_p, c_char_p, c_size_t, c_char_p, c_size_t]
_libsecp256k1.secp256k1_tagged_sha256.restype = c_int
except (OSError, AttributeError):
raise Exception('libsecp256k1 library too old: missing secp256k1_tagged_sha256 method')
def bip340_tagged_hash__from_libsecp(tag: bytes, msg: bytes) -> bytes:
assert isinstance(tag, bytes), type(tag)
assert isinstance(msg, bytes), type(msg)
thash = create_string_buffer(32)
ret = _libsecp256k1.secp256k1_tagged_sha256(
_libsecp256k1.ctx, thash, tag, len(tag), msg, len(msg))
assert 1 == ret, ret
thash = bytes(thash)
return thash
data = (
(b"", b""),
(b"", b"hello there"),
(b"mytag", b""),
(b"mytag", b"hello there"),
(bytes(range(256)) * 10, bytes(range(256)) * 50),
(bytes(range(256)) * 1000, bytes(range(256)) * 5000),
)
for tag, msg in data:
self.assertEqual(bip340_tagged_hash__from_libsecp(tag, msg),
bip340_tagged_hash(tag, msg))
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