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BIP459: Add vendored secp256k1lab library
Add a vendored copy of the secp256k1lab library (master branch, commit a265da139aea27386085a2a8760f8698e1bda64e) that the full-aggregation reference implementation and test vector scripts depend on.
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from pathlib import Path
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import sys
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# Ensure secp256k1lab is found and can be imported directly
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sys.path.insert(0, str(Path(__file__).parent / "../src/"))
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@@ -0,0 +1,51 @@
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import csv
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from pathlib import Path
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from random import randbytes
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import unittest
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from secp256k1lab.bip340 import pubkey_gen, schnorr_sign, schnorr_verify
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class BIP340Tests(unittest.TestCase):
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"""Test schnorr signatures (BIP 340)."""
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def test_correctness(self):
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seckey = randbytes(32)
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pubkey_xonly = pubkey_gen(seckey)
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aux_rand = randbytes(32)
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message = b'this is some arbitrary message'
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signature = schnorr_sign(message, seckey, aux_rand)
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success = schnorr_verify(message, pubkey_xonly, signature)
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self.assertTrue(success)
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def test_vectors(self):
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# Test against vectors from the BIPs repository
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# [https://github.com/bitcoin/bips/blob/master/bip-0340/test-vectors.csv]
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vectors_file = Path(__file__).parent / "vectors" / "bip340.csv"
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with open(vectors_file, encoding='utf8') as csvfile:
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reader = csv.DictReader(csvfile)
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for row in reader:
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with self.subTest(i=int(row['index'])):
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self.subtest_vectors_case(row)
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def subtest_vectors_case(self, row):
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seckey = bytes.fromhex(row['secret key'])
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pubkey_xonly = bytes.fromhex(row['public key'])
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aux_rand = bytes.fromhex(row['aux_rand'])
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msg = bytes.fromhex(row['message'])
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sig = bytes.fromhex(row['signature'])
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result_str = row['verification result']
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comment = row['comment']
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result = result_str == 'TRUE'
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assert result or result_str == 'FALSE'
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if seckey != b'':
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pubkey_xonly_actual = pubkey_gen(seckey)
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self.assertEqual(pubkey_xonly.hex(), pubkey_xonly_actual.hex(), f"BIP340 test vector ({comment}): pubkey mismatch")
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sig_actual = schnorr_sign(msg, seckey, aux_rand)
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self.assertEqual(sig.hex(), sig_actual.hex(), f"BIP340 test vector ({comment}): sig mismatch")
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result_actual = schnorr_verify(msg, pubkey_xonly, sig)
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if result:
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self.assertEqual(result, result_actual, f"BIP340 test vector ({comment}): verification failed unexpectedly")
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else:
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self.assertEqual(result, result_actual, f"BIP340 test vector ({comment}): verification succeeded unexpectedly")
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@@ -0,0 +1,18 @@
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from random import randbytes
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import unittest
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from secp256k1lab.ecdh import ecdh_libsecp256k1
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from secp256k1lab.keys import pubkey_gen_plain
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class ECDHTests(unittest.TestCase):
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"""Test ECDH module."""
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def test_correctness(self):
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seckey_alice = randbytes(32)
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pubkey_alice = pubkey_gen_plain(seckey_alice)
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seckey_bob = randbytes(32)
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pubkey_bob = pubkey_gen_plain(seckey_bob)
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shared_secret1 = ecdh_libsecp256k1(seckey_alice, pubkey_bob)
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shared_secret2 = ecdh_libsecp256k1(seckey_bob, pubkey_alice)
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self.assertEqual(shared_secret1, shared_secret2)
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@@ -0,0 +1,180 @@
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"""Test low-level secp256k1 field and group arithmetic classes."""
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from random import randint
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import unittest
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from secp256k1lab.secp256k1 import FE, G, GE, Scalar
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class PrimeFieldTests(unittest.TestCase):
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def test_fe_constructors(self):
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P = FE.SIZE
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random_fe_valid = randint(0, P-1)
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random_fe_overflowing = randint(P, 2**256-1)
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# wrapping constructors
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for init_value in [0, P-1, P, P+1, random_fe_valid, random_fe_overflowing]:
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fe1 = FE(init_value)
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fe2 = FE.from_int_wrapping(init_value)
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fe3 = FE.from_bytes_wrapping(init_value.to_bytes(32, 'big'))
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reduced_value = init_value % P
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self.assertEqual(int(fe1), reduced_value)
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self.assertEqual(int(fe1), int(fe2))
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self.assertEqual(int(fe2), int(fe3))
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# checking constructors (should throw on overflow)
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for valid_value in [0, P-1, random_fe_valid]:
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fe1 = FE.from_int_checked(valid_value)
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fe2 = FE.from_bytes_checked(valid_value.to_bytes(32, 'big'))
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self.assertEqual(int(fe1), valid_value)
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self.assertEqual(int(fe1), int(fe2))
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for overflow_value in [P, P+1, random_fe_overflowing]:
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with self.assertRaises(ValueError):
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_ = FE.from_int_checked(overflow_value)
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with self.assertRaises(ValueError):
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_ = FE.from_bytes_checked(overflow_value.to_bytes(32, 'big'))
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def test_scalar_constructors(self):
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N = Scalar.SIZE
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random_scalar_valid = randint(0, N-1)
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random_scalar_overflowing = randint(N, 2**256-1)
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# wrapping constructors
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for init_value in [0, N-1, N, N+1, random_scalar_valid, random_scalar_overflowing]:
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s1 = Scalar(init_value)
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s2 = Scalar.from_int_wrapping(init_value)
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s3 = Scalar.from_bytes_wrapping(init_value.to_bytes(32, 'big'))
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reduced_value = init_value % N
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self.assertEqual(int(s1), reduced_value)
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self.assertEqual(int(s1), int(s2))
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self.assertEqual(int(s2), int(s3))
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# checking constructors (should throw on overflow)
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for valid_value in [0, N-1, random_scalar_valid]:
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s1 = Scalar.from_int_checked(valid_value)
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s2 = Scalar.from_bytes_checked(valid_value.to_bytes(32, 'big'))
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self.assertEqual(int(s1), valid_value)
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self.assertEqual(int(s1), int(s2))
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for overflow_value in [N, N+1, random_scalar_overflowing]:
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with self.assertRaises(ValueError):
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_ = Scalar.from_int_checked(overflow_value)
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with self.assertRaises(ValueError):
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_ = Scalar.from_bytes_checked(overflow_value.to_bytes(32, 'big'))
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# non-zero checking constructors (should throw on zero or overflow, only for Scalar)
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random_nonzero_scalar_valid = randint(1, N-1)
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for valid_value in [1, N-1, random_nonzero_scalar_valid]:
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s1 = Scalar.from_int_nonzero_checked(valid_value)
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s2 = Scalar.from_bytes_nonzero_checked(valid_value.to_bytes(32, 'big'))
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self.assertEqual(int(s1), valid_value)
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self.assertEqual(int(s1), int(s2))
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for invalid_value in [0, N, random_scalar_overflowing]:
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with self.assertRaises(ValueError):
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_ = Scalar.from_int_nonzero_checked(invalid_value)
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with self.assertRaises(ValueError):
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_ = Scalar.from_bytes_nonzero_checked(invalid_value.to_bytes(32, 'big'))
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class GeSerializationTests(unittest.TestCase):
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@classmethod
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def setUpClass(cls):
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cls.point_at_infinity = GE()
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cls.group_elements_on_curve = [
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# generator point
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G,
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# Bitcoin genesis block public key
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GE(0x678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb6,
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0x49f6bc3f4cef38c4f35504e51ec112de5c384df7ba0b8d578a4c702b6bf11d5f),
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]
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# generate a few random points, to likely cover both even/odd y polarity
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cls.group_elements_on_curve.extend([randint(1, Scalar.SIZE-1) * G for _ in range(8)])
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# generate x coordinates that don't have a valid point on the curve
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# (note that ~50% of all x coordinates are valid, so finding one needs two loop iterations on average)
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cls.x_coords_not_on_curve = []
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while len(cls.x_coords_not_on_curve) < 8:
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x = randint(0, FE.SIZE-1)
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if not GE.is_valid_x(x):
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cls.x_coords_not_on_curve.append(x)
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cls.group_elements = [cls.point_at_infinity] + cls.group_elements_on_curve
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def test_infinity_raises(self):
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with self.assertRaises(AssertionError):
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_ = self.point_at_infinity.to_bytes_uncompressed()
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with self.assertRaises(AssertionError):
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_ = self.point_at_infinity.to_bytes_compressed()
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with self.assertRaises(AssertionError):
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_ = self.point_at_infinity.to_bytes_xonly()
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def test_not_on_curve_raises(self):
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# for compressed and x-only GE deserialization, test with invalid x coordinate
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for x in self.x_coords_not_on_curve:
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x_bytes = x.to_bytes(32, 'big')
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_compressed(b'\x02' + x_bytes)
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_compressed(b'\x03' + x_bytes)
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_compressed_with_infinity(b'\x02' + x_bytes)
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_compressed_with_infinity(b'\x03' + x_bytes)
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_xonly(x_bytes)
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# for uncompressed GE serialization, test by invalidating either coordinate
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for ge in self.group_elements_on_curve:
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valid_x = ge.x
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valid_y = ge.y
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invalid_x = ge.x + 1
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invalid_y = ge.y + 1
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# valid cases (if point (x,y) is on the curve, then point(x,-y) is on the curve as well)
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_ = GE.from_bytes_uncompressed(b'\x04' + valid_x.to_bytes() + valid_y.to_bytes())
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_ = GE.from_bytes_uncompressed(b'\x04' + valid_x.to_bytes() + (-valid_y).to_bytes())
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# invalid cases (curve equation y**2 = x**3 + 7 doesn't hold)
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self.assertNotEqual(invalid_y**2, valid_x**3 + 7)
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_uncompressed(b'\x04' + valid_x.to_bytes() + invalid_y.to_bytes())
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self.assertNotEqual(valid_y**2, invalid_x**3 + 7)
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with self.assertRaises(ValueError):
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_ = GE.from_bytes_uncompressed(b'\x04' + invalid_x.to_bytes() + valid_y.to_bytes())
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def test_affine(self):
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# GE serialization and parsing round-trip (variants that only support serializing points on the curve)
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for ge_orig in self.group_elements_on_curve:
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# uncompressed serialization: 65 bytes, starts with 0x04
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ge_ser = ge_orig.to_bytes_uncompressed()
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self.assertEqual(len(ge_ser), 65)
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self.assertEqual(ge_ser[0], 0x04)
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ge_deser = GE.from_bytes_uncompressed(ge_ser)
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self.assertEqual(ge_deser, ge_orig)
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# compressed serialization: 33 bytes, starts with 0x02 (if y is even) or 0x03 (if y is odd)
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ge_ser = ge_orig.to_bytes_compressed()
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self.assertEqual(len(ge_ser), 33)
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self.assertEqual(ge_ser[0], 0x02 if ge_orig.has_even_y() else 0x03)
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ge_deser = GE.from_bytes_compressed(ge_ser)
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self.assertEqual(ge_deser, ge_orig)
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# x-only serialization: 32 bytes
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ge_ser = ge_orig.to_bytes_xonly()
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self.assertEqual(len(ge_ser), 32)
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ge_deser = GE.from_bytes_xonly(ge_ser)
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if not ge_orig.has_even_y(): # x-only implies even y, so flip if necessary
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ge_deser = -ge_deser
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self.assertEqual(ge_deser, ge_orig)
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def test_affine_with_infinity(self):
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# GE serialization and parsing round-trip (variants that also support serializing the point at infinity)
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for ge_orig in self.group_elements:
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# compressed serialization: 33 bytes, all-zeros for point at infinity
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ge_ser = ge_orig.to_bytes_compressed_with_infinity()
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self.assertEqual(len(ge_ser), 33)
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if ge_orig.infinity:
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self.assertEqual(ge_ser, b'\x00'*33)
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else:
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self.assertEqual(ge_ser[0], 0x02 if ge_orig.has_even_y() else 0x03)
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ge_deser = GE.from_bytes_compressed_with_infinity(ge_ser)
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self.assertEqual(ge_deser, ge_orig)
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@@ -0,0 +1,20 @@
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index,secret key,public key,aux_rand,message,signature,verification result,comment
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0,0000000000000000000000000000000000000000000000000000000000000003,F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9,0000000000000000000000000000000000000000000000000000000000000000,0000000000000000000000000000000000000000000000000000000000000000,E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0,TRUE,
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1,B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,0000000000000000000000000000000000000000000000000000000000000001,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A,TRUE,
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2,C90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9,DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8,C87AA53824B4D7AE2EB035A2B5BBBCCC080E76CDC6D1692C4B0B62D798E6D906,7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C,5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7,TRUE,
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3,0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710,25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3,TRUE,test fails if msg is reduced modulo p or n
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4,,D69C3509BB99E412E68B0FE8544E72837DFA30746D8BE2AA65975F29D22DC7B9,,4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703,00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6376AFB1548AF603B3EB45C9F8207DEE1060CB71C04E80F593060B07D28308D7F4,TRUE,
|
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5,,EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B,FALSE,public key not on the curve
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6,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2,FALSE,has_even_y(R) is false
|
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7,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,1FA62E331EDBC21C394792D2AB1100A7B432B013DF3F6FF4F99FCB33E0E1515F28890B3EDB6E7189B630448B515CE4F8622A954CFE545735AAEA5134FCCDB2BD,FALSE,negated message
|
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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
|
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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
|
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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
|
||||
15,0340034003400340034003400340034003400340034003400340034003400340,778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117,0000000000000000000000000000000000000000000000000000000000000000,,71535DB165ECD9FBBC046E5FFAEA61186BB6AD436732FCCC25291A55895464CF6069CE26BF03466228F19A3A62DB8A649F2D560FAC652827D1AF0574E427AB63,TRUE,message of size 0 (added 2022-12)
|
||||
16,0340034003400340034003400340034003400340034003400340034003400340,778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117,0000000000000000000000000000000000000000000000000000000000000000,11,08A20A0AFEF64124649232E0693C583AB1B9934AE63B4C3511F3AE1134C6A303EA3173BFEA6683BD101FA5AA5DBC1996FE7CACFC5A577D33EC14564CEC2BACBF,TRUE,message of size 1 (added 2022-12)
|
||||
17,0340034003400340034003400340034003400340034003400340034003400340,778CAA53B4393AC467774D09497A87224BF9FAB6F6E68B23086497324D6FD117,0000000000000000000000000000000000000000000000000000000000000000,0102030405060708090A0B0C0D0E0F1011,5130F39A4059B43BC7CAC09A19ECE52B5D8699D1A71E3C52DA9AFDB6B50AC370C4A482B77BF960F8681540E25B6771ECE1E5A37FD80E5A51897C5566A97EA5A5,TRUE,message of size 17 (added 2022-12)
|
||||
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message of size 100 (added 2022-12)
|
||||
|
Reference in new issue
Block a user