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Diffstat (limited to 'third_party/python/ecdsa/ecdsa/test_pyecdsa.py')
| -rw-r--r-- | third_party/python/ecdsa/ecdsa/test_pyecdsa.py | 1445 |
1 files changed, 1445 insertions, 0 deletions
diff --git a/third_party/python/ecdsa/ecdsa/test_pyecdsa.py b/third_party/python/ecdsa/ecdsa/test_pyecdsa.py new file mode 100644 index 0000000000..d83eb01d10 --- /dev/null +++ b/third_party/python/ecdsa/ecdsa/test_pyecdsa.py @@ -0,0 +1,1445 @@ +from __future__ import with_statement, division + +try: + import unittest2 as unittest +except ImportError: + import unittest +import os +import time +import shutil +import subprocess +import pytest +from binascii import hexlify, unhexlify +from hashlib import sha1, sha256, sha384, sha512 +import hashlib +from functools import partial + +from hypothesis import given +import hypothesis.strategies as st + +from six import b, print_, binary_type +from .keys import SigningKey, VerifyingKey +from .keys import BadSignatureError, MalformedPointError, BadDigestError +from . import util +from .util import sigencode_der, sigencode_strings +from .util import sigdecode_der, sigdecode_strings +from .util import number_to_string, encoded_oid_ecPublicKey, \ + MalformedSignature +from .curves import Curve, UnknownCurveError +from .curves import NIST192p, NIST224p, NIST256p, NIST384p, NIST521p, \ + SECP256k1, BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1, \ + BRAINPOOLP256r1, BRAINPOOLP320r1, BRAINPOOLP384r1, BRAINPOOLP512r1, \ + curves +from .ecdsa import curve_brainpoolp224r1, curve_brainpoolp256r1, \ + curve_brainpoolp384r1, curve_brainpoolp512r1 +from .ellipticcurve import Point +from . import der +from . import rfc6979 +from . import ecdsa + + +class SubprocessError(Exception): + pass + + +def run_openssl(cmd): + OPENSSL = "openssl" + p = subprocess.Popen([OPENSSL] + cmd.split(), + stdout=subprocess.PIPE, + stderr=subprocess.STDOUT) + stdout, ignored = p.communicate() + if p.returncode != 0: + raise SubprocessError("cmd '%s %s' failed: rc=%s, stdout/err was %s" % + (OPENSSL, cmd, p.returncode, stdout)) + return stdout.decode() + + +class ECDSA(unittest.TestCase): + def test_basic(self): + priv = SigningKey.generate() + pub = priv.get_verifying_key() + + data = b("blahblah") + sig = priv.sign(data) + + self.assertTrue(pub.verify(sig, data)) + self.assertRaises(BadSignatureError, pub.verify, sig, data + b("bad")) + + pub2 = VerifyingKey.from_string(pub.to_string()) + self.assertTrue(pub2.verify(sig, data)) + + def test_deterministic(self): + data = b("blahblah") + secexp = int("9d0219792467d7d37b4d43298a7d0c05", 16) + + priv = SigningKey.from_secret_exponent(secexp, SECP256k1, sha256) + pub = priv.get_verifying_key() + + k = rfc6979.generate_k( + SECP256k1.generator.order(), secexp, sha256, sha256(data).digest()) + + sig1 = priv.sign(data, k=k) + self.assertTrue(pub.verify(sig1, data)) + + sig2 = priv.sign(data, k=k) + self.assertTrue(pub.verify(sig2, data)) + + sig3 = priv.sign_deterministic(data, sha256) + self.assertTrue(pub.verify(sig3, data)) + + self.assertEqual(sig1, sig2) + self.assertEqual(sig1, sig3) + + def test_bad_usage(self): + # sk=SigningKey() is wrong + self.assertRaises(TypeError, SigningKey) + self.assertRaises(TypeError, VerifyingKey) + + def test_lengths(self): + default = NIST192p + priv = SigningKey.generate() + pub = priv.get_verifying_key() + self.assertEqual(len(pub.to_string()), default.verifying_key_length) + sig = priv.sign(b("data")) + self.assertEqual(len(sig), default.signature_length) + for curve in (NIST192p, NIST224p, NIST256p, NIST384p, NIST521p, + BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1, + BRAINPOOLP256r1, BRAINPOOLP320r1, BRAINPOOLP384r1, + BRAINPOOLP512r1): + start = time.time() + priv = SigningKey.generate(curve=curve) + pub1 = priv.get_verifying_key() + keygen_time = time.time() - start + pub2 = VerifyingKey.from_string(pub1.to_string(), curve) + self.assertEqual(pub1.to_string(), pub2.to_string()) + self.assertEqual(len(pub1.to_string()), + curve.verifying_key_length) + start = time.time() + sig = priv.sign(b("data")) + sign_time = time.time() - start + self.assertEqual(len(sig), curve.signature_length) + + def test_serialize(self): + seed = b("secret") + curve = NIST192p + secexp1 = util.randrange_from_seed__trytryagain(seed, curve.order) + secexp2 = util.randrange_from_seed__trytryagain(seed, curve.order) + self.assertEqual(secexp1, secexp2) + priv1 = SigningKey.from_secret_exponent(secexp1, curve) + priv2 = SigningKey.from_secret_exponent(secexp2, curve) + self.assertEqual(hexlify(priv1.to_string()), + hexlify(priv2.to_string())) + self.assertEqual(priv1.to_pem(), priv2.to_pem()) + pub1 = priv1.get_verifying_key() + pub2 = priv2.get_verifying_key() + data = b("data") + sig1 = priv1.sign(data) + sig2 = priv2.sign(data) + self.assertTrue(pub1.verify(sig1, data)) + self.assertTrue(pub2.verify(sig1, data)) + self.assertTrue(pub1.verify(sig2, data)) + self.assertTrue(pub2.verify(sig2, data)) + self.assertEqual(hexlify(pub1.to_string()), + hexlify(pub2.to_string())) + + def test_nonrandom(self): + s = b("all the entropy in the entire world, compressed into one line") + + def not_much_entropy(numbytes): + return s[:numbytes] + + # we control the entropy source, these two keys should be identical: + priv1 = SigningKey.generate(entropy=not_much_entropy) + priv2 = SigningKey.generate(entropy=not_much_entropy) + self.assertEqual(hexlify(priv1.get_verifying_key().to_string()), + hexlify(priv2.get_verifying_key().to_string())) + # likewise, signatures should be identical. Obviously you'd never + # want to do this with keys you care about, because the secrecy of + # the private key depends upon using different random numbers for + # each signature + sig1 = priv1.sign(b("data"), entropy=not_much_entropy) + sig2 = priv2.sign(b("data"), entropy=not_much_entropy) + self.assertEqual(hexlify(sig1), hexlify(sig2)) + + def assertTruePrivkeysEqual(self, priv1, priv2): + self.assertEqual(priv1.privkey.secret_multiplier, + priv2.privkey.secret_multiplier) + self.assertEqual(priv1.privkey.public_key.generator, + priv2.privkey.public_key.generator) + + def test_privkey_creation(self): + s = b("all the entropy in the entire world, compressed into one line") + + def not_much_entropy(numbytes): + return s[:numbytes] + + priv1 = SigningKey.generate() + self.assertEqual(priv1.baselen, NIST192p.baselen) + + priv1 = SigningKey.generate(curve=NIST224p) + self.assertEqual(priv1.baselen, NIST224p.baselen) + + priv1 = SigningKey.generate(entropy=not_much_entropy) + self.assertEqual(priv1.baselen, NIST192p.baselen) + priv2 = SigningKey.generate(entropy=not_much_entropy) + self.assertEqual(priv2.baselen, NIST192p.baselen) + self.assertTruePrivkeysEqual(priv1, priv2) + + priv1 = SigningKey.from_secret_exponent(secexp=3) + self.assertEqual(priv1.baselen, NIST192p.baselen) + priv2 = SigningKey.from_secret_exponent(secexp=3) + self.assertTruePrivkeysEqual(priv1, priv2) + + priv1 = SigningKey.from_secret_exponent(secexp=4, curve=NIST224p) + self.assertEqual(priv1.baselen, NIST224p.baselen) + + def test_privkey_strings(self): + priv1 = SigningKey.generate() + s1 = priv1.to_string() + self.assertEqual(type(s1), binary_type) + self.assertEqual(len(s1), NIST192p.baselen) + priv2 = SigningKey.from_string(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + s1 = priv1.to_pem() + self.assertEqual(type(s1), binary_type) + self.assertTrue(s1.startswith(b("-----BEGIN EC PRIVATE KEY-----"))) + self.assertTrue(s1.strip().endswith(b("-----END EC PRIVATE KEY-----"))) + priv2 = SigningKey.from_pem(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + s1 = priv1.to_der() + self.assertEqual(type(s1), binary_type) + priv2 = SigningKey.from_der(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + priv1 = SigningKey.generate(curve=NIST256p) + s1 = priv1.to_pem() + self.assertEqual(type(s1), binary_type) + self.assertTrue(s1.startswith(b("-----BEGIN EC PRIVATE KEY-----"))) + self.assertTrue(s1.strip().endswith(b("-----END EC PRIVATE KEY-----"))) + priv2 = SigningKey.from_pem(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + s1 = priv1.to_der() + self.assertEqual(type(s1), binary_type) + priv2 = SigningKey.from_der(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + def test_privkey_strings_brainpool(self): + priv1 = SigningKey.generate(curve=BRAINPOOLP512r1) + s1 = priv1.to_pem() + self.assertEqual(type(s1), binary_type) + self.assertTrue(s1.startswith(b("-----BEGIN EC PRIVATE KEY-----"))) + self.assertTrue(s1.strip().endswith(b("-----END EC PRIVATE KEY-----"))) + priv2 = SigningKey.from_pem(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + s1 = priv1.to_der() + self.assertEqual(type(s1), binary_type) + priv2 = SigningKey.from_der(s1) + self.assertTruePrivkeysEqual(priv1, priv2) + + def assertTruePubkeysEqual(self, pub1, pub2): + self.assertEqual(pub1.pubkey.point, pub2.pubkey.point) + self.assertEqual(pub1.pubkey.generator, pub2.pubkey.generator) + self.assertEqual(pub1.curve, pub2.curve) + + def test_pubkey_strings(self): + priv1 = SigningKey.generate() + pub1 = priv1.get_verifying_key() + s1 = pub1.to_string() + self.assertEqual(type(s1), binary_type) + self.assertEqual(len(s1), NIST192p.verifying_key_length) + pub2 = VerifyingKey.from_string(s1) + self.assertTruePubkeysEqual(pub1, pub2) + + priv1 = SigningKey.generate(curve=NIST256p) + pub1 = priv1.get_verifying_key() + s1 = pub1.to_string() + self.assertEqual(type(s1), binary_type) + self.assertEqual(len(s1), NIST256p.verifying_key_length) + pub2 = VerifyingKey.from_string(s1, curve=NIST256p) + self.assertTruePubkeysEqual(pub1, pub2) + + pub1_der = pub1.to_der() + self.assertEqual(type(pub1_der), binary_type) + pub2 = VerifyingKey.from_der(pub1_der) + self.assertTruePubkeysEqual(pub1, pub2) + + self.assertRaises(der.UnexpectedDER, + VerifyingKey.from_der, pub1_der + b("junk")) + badpub = VerifyingKey.from_der(pub1_der) + + class FakeGenerator: + def order(self): + return 123456789 + + badcurve = Curve("unknown", None, FakeGenerator(), (1, 2, 3, 4, 5, 6), None) + badpub.curve = badcurve + badder = badpub.to_der() + self.assertRaises(UnknownCurveError, VerifyingKey.from_der, badder) + + pem = pub1.to_pem() + self.assertEqual(type(pem), binary_type) + self.assertTrue(pem.startswith(b("-----BEGIN PUBLIC KEY-----")), pem) + self.assertTrue(pem.strip().endswith(b("-----END PUBLIC KEY-----")), pem) + pub2 = VerifyingKey.from_pem(pem) + self.assertTruePubkeysEqual(pub1, pub2) + + def test_pubkey_strings_brainpool(self): + priv1 = SigningKey.generate(curve=BRAINPOOLP512r1) + pub1 = priv1.get_verifying_key() + s1 = pub1.to_string() + self.assertEqual(type(s1), binary_type) + self.assertEqual(len(s1), BRAINPOOLP512r1.verifying_key_length) + pub2 = VerifyingKey.from_string(s1, curve=BRAINPOOLP512r1) + self.assertTruePubkeysEqual(pub1, pub2) + + pub1_der = pub1.to_der() + self.assertEqual(type(pub1_der), binary_type) + pub2 = VerifyingKey.from_der(pub1_der) + self.assertTruePubkeysEqual(pub1, pub2) + + def test_vk_to_der_with_invalid_point_encoding(self): + sk = SigningKey.generate() + vk = sk.verifying_key + + with self.assertRaises(ValueError): + vk.to_der("raw") + + def test_sk_to_der_with_invalid_point_encoding(self): + sk = SigningKey.generate() + + with self.assertRaises(ValueError): + sk.to_der("raw") + + def test_vk_from_der_garbage_after_curve_oid(self): + type_oid_der = encoded_oid_ecPublicKey + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + \ + b('garbage') + enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der) + point_der = der.encode_bitstring(b'\x00\xff', None) + to_decode = der.encode_sequence(enc_type_der, point_der) + + with self.assertRaises(der.UnexpectedDER): + VerifyingKey.from_der(to_decode) + + def test_vk_from_der_invalid_key_type(self): + type_oid_der = der.encode_oid(*(1, 2, 3)) + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der) + point_der = der.encode_bitstring(b'\x00\xff', None) + to_decode = der.encode_sequence(enc_type_der, point_der) + + with self.assertRaises(der.UnexpectedDER): + VerifyingKey.from_der(to_decode) + + def test_vk_from_der_garbage_after_point_string(self): + type_oid_der = encoded_oid_ecPublicKey + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der) + point_der = der.encode_bitstring(b'\x00\xff', None) + b('garbage') + to_decode = der.encode_sequence(enc_type_der, point_der) + + with self.assertRaises(der.UnexpectedDER): + VerifyingKey.from_der(to_decode) + + def test_vk_from_der_invalid_bitstring(self): + type_oid_der = encoded_oid_ecPublicKey + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der) + point_der = der.encode_bitstring(b'\x08\xff', None) + to_decode = der.encode_sequence(enc_type_der, point_der) + + with self.assertRaises(der.UnexpectedDER): + VerifyingKey.from_der(to_decode) + + def test_vk_from_der_with_invalid_length_of_encoding(self): + type_oid_der = encoded_oid_ecPublicKey + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der) + point_der = der.encode_bitstring(b'\xff'*64, 0) + to_decode = der.encode_sequence(enc_type_der, point_der) + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_der(to_decode) + + def test_vk_from_der_with_raw_encoding(self): + type_oid_der = encoded_oid_ecPublicKey + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der) + point_der = der.encode_bitstring(b'\xff'*48, 0) + to_decode = der.encode_sequence(enc_type_der, point_der) + + with self.assertRaises(der.UnexpectedDER): + VerifyingKey.from_der(to_decode) + + def test_signature_strings(self): + priv1 = SigningKey.generate() + pub1 = priv1.get_verifying_key() + data = b("data") + + sig = priv1.sign(data) + self.assertEqual(type(sig), binary_type) + self.assertEqual(len(sig), NIST192p.signature_length) + self.assertTrue(pub1.verify(sig, data)) + + sig = priv1.sign(data, sigencode=sigencode_strings) + self.assertEqual(type(sig), tuple) + self.assertEqual(len(sig), 2) + self.assertEqual(type(sig[0]), binary_type) + self.assertEqual(type(sig[1]), binary_type) + self.assertEqual(len(sig[0]), NIST192p.baselen) + self.assertEqual(len(sig[1]), NIST192p.baselen) + self.assertTrue(pub1.verify(sig, data, sigdecode=sigdecode_strings)) + + sig_der = priv1.sign(data, sigencode=sigencode_der) + self.assertEqual(type(sig_der), binary_type) + self.assertTrue(pub1.verify(sig_der, data, sigdecode=sigdecode_der)) + + def test_sig_decode_strings_with_invalid_count(self): + with self.assertRaises(MalformedSignature): + sigdecode_strings([b('one'), b('two'), b('three')], 0xff) + + def test_sig_decode_strings_with_wrong_r_len(self): + with self.assertRaises(MalformedSignature): + sigdecode_strings([b('one'), b('two')], 0xff) + + def test_sig_decode_strings_with_wrong_s_len(self): + with self.assertRaises(MalformedSignature): + sigdecode_strings([b('\xa0'), b('\xb0\xff')], 0xff) + + def test_verify_with_too_long_input(self): + sk = SigningKey.generate() + vk = sk.verifying_key + + with self.assertRaises(BadDigestError): + vk.verify_digest(None, b('\x00') * 128) + + def test_sk_from_secret_exponent_with_wrong_sec_exponent(self): + with self.assertRaises(MalformedPointError): + SigningKey.from_secret_exponent(0) + + def test_sk_from_string_with_wrong_len_string(self): + with self.assertRaises(MalformedPointError): + SigningKey.from_string(b('\x01')) + + def test_sk_from_der_with_junk_after_sequence(self): + ver_der = der.encode_integer(1) + to_decode = der.encode_sequence(ver_der) + b('garbage') + + with self.assertRaises(der.UnexpectedDER): + SigningKey.from_der(to_decode) + + def test_sk_from_der_with_wrong_version(self): + ver_der = der.encode_integer(0) + to_decode = der.encode_sequence(ver_der) + + with self.assertRaises(der.UnexpectedDER): + SigningKey.from_der(to_decode) + + def test_sk_from_der_invalid_const_tag(self): + ver_der = der.encode_integer(1) + privkey_der = der.encode_octet_string(b('\x00\xff')) + curve_oid_der = der.encode_oid(*(1, 2, 3)) + const_der = der.encode_constructed(1, curve_oid_der) + to_decode = der.encode_sequence(ver_der, privkey_der, const_der, + curve_oid_der) + + with self.assertRaises(der.UnexpectedDER): + SigningKey.from_der(to_decode) + + def test_sk_from_der_garbage_after_privkey_oid(self): + ver_der = der.encode_integer(1) + privkey_der = der.encode_octet_string(b('\x00\xff')) + curve_oid_der = der.encode_oid(*(1, 2, 3)) + b('garbage') + const_der = der.encode_constructed(0, curve_oid_der) + to_decode = der.encode_sequence(ver_der, privkey_der, const_der, + curve_oid_der) + + with self.assertRaises(der.UnexpectedDER): + SigningKey.from_der(to_decode) + + def test_sk_from_der_with_short_privkey(self): + ver_der = der.encode_integer(1) + privkey_der = der.encode_octet_string(b('\x00\xff')) + curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + const_der = der.encode_constructed(0, curve_oid_der) + to_decode = der.encode_sequence(ver_der, privkey_der, const_der, + curve_oid_der) + + sk = SigningKey.from_der(to_decode) + self.assertEqual(sk.privkey.secret_multiplier, 255) + + def test_sign_with_too_long_hash(self): + sk = SigningKey.from_secret_exponent(12) + + with self.assertRaises(BadDigestError): + sk.sign_digest(b('\xff') * 64) + + def test_hashfunc(self): + sk = SigningKey.generate(curve=NIST256p, hashfunc=sha256) + data = b("security level is 128 bits") + sig = sk.sign(data) + vk = VerifyingKey.from_string(sk.get_verifying_key().to_string(), + curve=NIST256p, hashfunc=sha256) + self.assertTrue(vk.verify(sig, data)) + + sk2 = SigningKey.generate(curve=NIST256p) + sig2 = sk2.sign(data, hashfunc=sha256) + vk2 = VerifyingKey.from_string(sk2.get_verifying_key().to_string(), + curve=NIST256p, hashfunc=sha256) + self.assertTrue(vk2.verify(sig2, data)) + + vk3 = VerifyingKey.from_string(sk.get_verifying_key().to_string(), + curve=NIST256p) + self.assertTrue(vk3.verify(sig, data, hashfunc=sha256)) + + def test_public_key_recovery(self): + # Create keys + curve = NIST256p + + sk = SigningKey.generate(curve=curve) + vk = sk.get_verifying_key() + + # Sign a message + data = b("blahblah") + signature = sk.sign(data) + + # Recover verifying keys + recovered_vks = VerifyingKey.from_public_key_recovery(signature, data, curve) + + # Test if each pk is valid + for recovered_vk in recovered_vks: + # Test if recovered vk is valid for the data + self.assertTrue(recovered_vk.verify(signature, data)) + + # Test if properties are equal + self.assertEqual(vk.curve, recovered_vk.curve) + self.assertEqual(vk.default_hashfunc, recovered_vk.default_hashfunc) + + # Test if original vk is the list of recovered keys + self.assertTrue( + vk.pubkey.point in [recovered_vk.pubkey.point for recovered_vk in recovered_vks]) + + def test_public_key_recovery_with_custom_hash(self): + # Create keys + curve = NIST256p + + sk = SigningKey.generate(curve=curve, hashfunc=sha256) + vk = sk.get_verifying_key() + + # Sign a message + data = b("blahblah") + signature = sk.sign(data) + + # Recover verifying keys + recovered_vks = VerifyingKey.\ + from_public_key_recovery(signature, data, curve, + hashfunc=sha256) + + # Test if each pk is valid + for recovered_vk in recovered_vks: + # Test if recovered vk is valid for the data + self.assertTrue(recovered_vk.verify(signature, data)) + + # Test if properties are equal + self.assertEqual(vk.curve, recovered_vk.curve) + self.assertEqual(sha256, recovered_vk.default_hashfunc) + + # Test if original vk is the list of recovered keys + self.assertTrue(vk.pubkey.point in + [recovered_vk.pubkey.point for recovered_vk in recovered_vks]) + + def test_encoding(self): + sk = SigningKey.from_secret_exponent(123456789) + vk = sk.verifying_key + + exp = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3' + '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4' + 'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*') + self.assertEqual(vk.to_string(), exp) + self.assertEqual(vk.to_string('raw'), exp) + self.assertEqual(vk.to_string('uncompressed'), b('\x04') + exp) + self.assertEqual(vk.to_string('compressed'), b('\x02') + exp[:24]) + self.assertEqual(vk.to_string('hybrid'), b('\x06') + exp) + + def test_decoding(self): + sk = SigningKey.from_secret_exponent(123456789) + vk = sk.verifying_key + + enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3' + '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4' + 'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*') + + from_raw = VerifyingKey.from_string(enc) + self.assertEqual(from_raw.pubkey.point, vk.pubkey.point) + + from_uncompressed = VerifyingKey.from_string(b('\x04') + enc) + self.assertEqual(from_uncompressed.pubkey.point, vk.pubkey.point) + + from_compressed = VerifyingKey.from_string(b('\x02') + enc[:24]) + self.assertEqual(from_compressed.pubkey.point, vk.pubkey.point) + + from_uncompressed = VerifyingKey.from_string(b('\x06') + enc) + self.assertEqual(from_uncompressed.pubkey.point, vk.pubkey.point) + + def test_decoding_with_malformed_uncompressed(self): + enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3' + '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4' + 'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*') + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x02') + enc) + + def test_decoding_with_malformed_compressed(self): + enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3' + '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4' + 'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*') + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x01') + enc[:24]) + + def test_decoding_with_inconsistent_hybrid(self): + enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3' + '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4' + 'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*') + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x07') + enc) + + def test_decoding_with_point_not_on_curve(self): + enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3' + '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4' + 'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*') + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(enc[:47] + b('\x00')) + + def test_decoding_with_point_at_infinity(self): + # decoding it is unsupported, as it's not necessary to encode it + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x00')) + + def test_not_lying_on_curve(self): + enc = number_to_string(NIST192p.curve.p(), NIST192p.curve.p()+1) + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x02') + enc) + + def test_from_string_with_invalid_curve_too_short_ver_key_len(self): + # both verifying_key_length and baselen are calculated internally + # by the Curve constructor, but since we depend on them verify + # that inconsistent values are detected + curve = Curve("test", ecdsa.curve_192, ecdsa.generator_192, (1, 2)) + curve.verifying_key_length = 16 + curve.baselen = 32 + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x00')*16, curve) + + def test_from_string_with_invalid_curve_too_long_ver_key_len(self): + # both verifying_key_length and baselen are calculated internally + # by the Curve constructor, but since we depend on them verify + # that inconsistent values are detected + curve = Curve("test", ecdsa.curve_192, ecdsa.generator_192, (1, 2)) + curve.verifying_key_length = 16 + curve.baselen = 16 + + with self.assertRaises(MalformedPointError): + VerifyingKey.from_string(b('\x00')*16, curve) + + +@pytest.mark.parametrize("val,even", + [(i, j) for i in range(256) for j in [True, False]]) +def test_VerifyingKey_decode_with_small_values(val, even): + enc = number_to_string(val, NIST192p.order) + + if even: + enc = b('\x02') + enc + else: + enc = b('\x03') + enc + + # small values can both be actual valid public keys and not, verify that + # only expected exceptions are raised if they are not + try: + vk = VerifyingKey.from_string(enc) + assert isinstance(vk, VerifyingKey) + except MalformedPointError: + assert True + + +params = [] +for curve in curves: + for enc in ["raw", "uncompressed", "compressed", "hybrid"]: + params.append(pytest.param(curve, enc, id="{0}-{1}".format( + curve.name, enc))) + + +@pytest.mark.parametrize("curve,encoding", params) +def test_VerifyingKey_encode_decode(curve, encoding): + sk = SigningKey.generate(curve=curve) + vk = sk.verifying_key + + encoded = vk.to_string(encoding) + + from_enc = VerifyingKey.from_string(encoded, curve=curve) + + assert vk.pubkey.point == from_enc.pubkey.point + + +class OpenSSL(unittest.TestCase): + # test interoperability with OpenSSL tools. Note that openssl's ECDSA + # sign/verify arguments changed between 0.9.8 and 1.0.0: the early + # versions require "-ecdsa-with-SHA1", the later versions want just + # "-SHA1" (or to leave out that argument entirely, which means the + # signature will use some default digest algorithm, probably determined + # by the key, probably always SHA1). + # + # openssl ecparam -name secp224r1 -genkey -out privkey.pem + # openssl ec -in privkey.pem -text -noout # get the priv/pub keys + # openssl dgst -ecdsa-with-SHA1 -sign privkey.pem -out data.sig data.txt + # openssl asn1parse -in data.sig -inform DER + # data.sig is 64 bytes, probably 56b plus ASN1 overhead + # openssl dgst -ecdsa-with-SHA1 -prverify privkey.pem -signature data.sig data.txt ; echo $? + # openssl ec -in privkey.pem -pubout -out pubkey.pem + # openssl ec -in privkey.pem -pubout -outform DER -out pubkey.der + + OPENSSL_SUPPORTED_CURVES = set(c.split(':')[0].strip() for c in + run_openssl("ecparam -list_curves") + .split('\n')) + + def get_openssl_messagedigest_arg(self, hash_name): + v = run_openssl("version") + # e.g. "OpenSSL 1.0.0 29 Mar 2010", or "OpenSSL 1.0.0a 1 Jun 2010", + # or "OpenSSL 0.9.8o 01 Jun 2010" + vs = v.split()[1].split(".") + if vs >= ["1", "0", "0"]: # pragma: no cover + return "-{0}".format(hash_name) + else: # pragma: no cover + return "-ecdsa-with-{0}".format(hash_name) + + # sk: 1:OpenSSL->python 2:python->OpenSSL + # vk: 3:OpenSSL->python 4:python->OpenSSL + # sig: 5:OpenSSL->python 6:python->OpenSSL + + @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime192v1") + def test_from_openssl_nist192p(self): + return self.do_test_from_openssl(NIST192p) + + @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime192v1") + def test_from_openssl_nist192p_sha256(self): + return self.do_test_from_openssl(NIST192p, "SHA256") + + @pytest.mark.skipif("secp224r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp224r1") + def test_from_openssl_nist224p(self): + return self.do_test_from_openssl(NIST224p) + + @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime256v1") + def test_from_openssl_nist256p(self): + return self.do_test_from_openssl(NIST256p) + + @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime256v1") + def test_from_openssl_nist256p_sha384(self): + return self.do_test_from_openssl(NIST256p, "SHA384") + + @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime256v1") + def test_from_openssl_nist256p_sha512(self): + return self.do_test_from_openssl(NIST256p, "SHA512") + + @pytest.mark.skipif("secp384r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp384r1") + def test_from_openssl_nist384p(self): + return self.do_test_from_openssl(NIST384p) + + @pytest.mark.skipif("secp521r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp521r1") + def test_from_openssl_nist521p(self): + return self.do_test_from_openssl(NIST521p) + + @pytest.mark.skipif("secp256k1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp256k1") + def test_from_openssl_secp256k1(self): + return self.do_test_from_openssl(SECP256k1) + + @pytest.mark.skipif("brainpoolP160r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP160r1") + def test_from_openssl_brainpoolp160r1(self): + return self.do_test_from_openssl(BRAINPOOLP160r1) + + @pytest.mark.skipif("brainpoolP192r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP192r1") + def test_from_openssl_brainpoolp192r1(self): + return self.do_test_from_openssl(BRAINPOOLP192r1) + + @pytest.mark.skipif("brainpoolP224r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP224r1") + def test_from_openssl_brainpoolp224r1(self): + return self.do_test_from_openssl(BRAINPOOLP224r1) + + @pytest.mark.skipif("brainpoolP256r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP256r1") + def test_from_openssl_brainpoolp256r1(self): + return self.do_test_from_openssl(BRAINPOOLP256r1) + + @pytest.mark.skipif("brainpoolP320r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP320r1") + def test_from_openssl_brainpoolp320r1(self): + return self.do_test_from_openssl(BRAINPOOLP320r1) + + @pytest.mark.skipif("brainpoolP384r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP384r1") + def test_from_openssl_brainpoolp384r1(self): + return self.do_test_from_openssl(BRAINPOOLP384r1) + + @pytest.mark.skipif("brainpoolP512r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP512r1") + def test_from_openssl_brainpoolp512r1(self): + return self.do_test_from_openssl(BRAINPOOLP512r1) + + def do_test_from_openssl(self, curve, hash_name="SHA1"): + curvename = curve.openssl_name + assert curvename + # OpenSSL: create sk, vk, sign. + # Python: read vk(3), checksig(5), read sk(1), sign, check + mdarg = self.get_openssl_messagedigest_arg(hash_name) + if os.path.isdir("t"): # pragma: no cover + shutil.rmtree("t") + os.mkdir("t") + run_openssl("ecparam -name %s -genkey -out t/privkey.pem" % curvename) + run_openssl("ec -in t/privkey.pem -pubout -out t/pubkey.pem") + data = b("data") + with open("t/data.txt", "wb") as e: + e.write(data) + run_openssl("dgst %s -sign t/privkey.pem -out t/data.sig t/data.txt" % mdarg) + run_openssl("dgst %s -verify t/pubkey.pem -signature t/data.sig t/data.txt" % mdarg) + with open("t/pubkey.pem", "rb") as e: + pubkey_pem = e.read() + vk = VerifyingKey.from_pem(pubkey_pem) # 3 + with open("t/data.sig", "rb") as e: + sig_der = e.read() + self.assertTrue(vk.verify(sig_der, data, # 5 + hashfunc=partial(hashlib.new, hash_name), + sigdecode=sigdecode_der)) + + with open("t/privkey.pem") as e: + fp = e.read() + sk = SigningKey.from_pem(fp) # 1 + sig = sk.sign( + data, + hashfunc=partial(hashlib.new, hash_name), + ) + self.assertTrue(vk.verify(sig, + data, + hashfunc=partial(hashlib.new, hash_name))) + + @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime192v1") + def test_to_openssl_nist192p(self): + self.do_test_to_openssl(NIST192p) + + @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime192v1") + def test_to_openssl_nist192p_sha256(self): + self.do_test_to_openssl(NIST192p, "SHA256") + + @pytest.mark.skipif("secp224r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp224r1") + def test_to_openssl_nist224p(self): + self.do_test_to_openssl(NIST224p) + + @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime256v1") + def test_to_openssl_nist256p(self): + self.do_test_to_openssl(NIST256p) + + @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime256v1") + def test_to_openssl_nist256p_sha384(self): + self.do_test_to_openssl(NIST256p, "SHA384") + + @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support prime256v1") + def test_to_openssl_nist256p_sha512(self): + self.do_test_to_openssl(NIST256p, "SHA512") + + @pytest.mark.skipif("secp384r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp384r1") + def test_to_openssl_nist384p(self): + self.do_test_to_openssl(NIST384p) + + @pytest.mark.skipif("secp521r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp521r1") + def test_to_openssl_nist521p(self): + self.do_test_to_openssl(NIST521p) + + @pytest.mark.skipif("secp256k1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support secp256k1") + def test_to_openssl_secp256k1(self): + self.do_test_to_openssl(SECP256k1) + + @pytest.mark.skipif("brainpoolP160r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP160r1") + def test_to_openssl_brainpoolp160r1(self): + self.do_test_to_openssl(BRAINPOOLP160r1) + + @pytest.mark.skipif("brainpoolP192r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP192r1") + def test_to_openssl_brainpoolp192r1(self): + self.do_test_to_openssl(BRAINPOOLP192r1) + + @pytest.mark.skipif("brainpoolP224r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP224r1") + def test_to_openssl_brainpoolp224r1(self): + self.do_test_to_openssl(BRAINPOOLP224r1) + + @pytest.mark.skipif("brainpoolP256r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP256r1") + def test_to_openssl_brainpoolp256r1(self): + self.do_test_to_openssl(BRAINPOOLP256r1) + + @pytest.mark.skipif("brainpoolP320r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP320r1") + def test_to_openssl_brainpoolp320r1(self): + self.do_test_to_openssl(BRAINPOOLP320r1) + + @pytest.mark.skipif("brainpoolP384r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP384r1") + def test_to_openssl_brainpoolp384r1(self): + self.do_test_to_openssl(BRAINPOOLP384r1) + + @pytest.mark.skipif("brainpoolP512r1" not in OPENSSL_SUPPORTED_CURVES, + reason="system openssl does not support brainpoolP512r1") + def test_to_openssl_brainpoolp512r1(self): + self.do_test_to_openssl(BRAINPOOLP512r1) + + def do_test_to_openssl(self, curve, hash_name="SHA1"): + curvename = curve.openssl_name + assert curvename + # Python: create sk, vk, sign. + # OpenSSL: read vk(4), checksig(6), read sk(2), sign, check + mdarg = self.get_openssl_messagedigest_arg(hash_name) + if os.path.isdir("t"): # pragma: no cover + shutil.rmtree("t") + os.mkdir("t") + sk = SigningKey.generate(curve=curve) + vk = sk.get_verifying_key() + data = b("data") + with open("t/pubkey.der", "wb") as e: + e.write(vk.to_der()) # 4 + with open("t/pubkey.pem", "wb") as e: + e.write(vk.to_pem()) # 4 + sig_der = sk.sign(data, hashfunc=partial(hashlib.new, hash_name), + sigencode=sigencode_der) + + with open("t/data.sig", "wb") as e: + e.write(sig_der) # 6 + with open("t/data.txt", "wb") as e: + e.write(data) + with open("t/baddata.txt", "wb") as e: + e.write(data + b("corrupt")) + + self.assertRaises(SubprocessError, run_openssl, + "dgst %s -verify t/pubkey.der -keyform DER -signature t/data.sig t/baddata.txt" % mdarg) + run_openssl("dgst %s -verify t/pubkey.der -keyform DER -signature t/data.sig t/data.txt" % mdarg) + + with open("t/privkey.pem", "wb") as e: + e.write(sk.to_pem()) # 2 + run_openssl("dgst %s -sign t/privkey.pem -out t/data.sig2 t/data.txt" % mdarg) + run_openssl("dgst %s -verify t/pubkey.pem -signature t/data.sig2 t/data.txt" % mdarg) + + +class DER(unittest.TestCase): + def test_integer(self): + self.assertEqual(der.encode_integer(0), b("\x02\x01\x00")) + self.assertEqual(der.encode_integer(1), b("\x02\x01\x01")) + self.assertEqual(der.encode_integer(127), b("\x02\x01\x7f")) + self.assertEqual(der.encode_integer(128), b("\x02\x02\x00\x80")) + self.assertEqual(der.encode_integer(256), b("\x02\x02\x01\x00")) + # self.assertEqual(der.encode_integer(-1), b("\x02\x01\xff")) + + def s(n): + return der.remove_integer(der.encode_integer(n) + b("junk")) + self.assertEqual(s(0), (0, b("junk"))) + self.assertEqual(s(1), (1, b("junk"))) + self.assertEqual(s(127), (127, b("junk"))) + self.assertEqual(s(128), (128, b("junk"))) + self.assertEqual(s(256), (256, b("junk"))) + self.assertEqual(s(1234567890123456789012345678901234567890), + (1234567890123456789012345678901234567890, b("junk"))) + + def test_number(self): + self.assertEqual(der.encode_number(0), b("\x00")) + self.assertEqual(der.encode_number(127), b("\x7f")) + self.assertEqual(der.encode_number(128), b("\x81\x00")) + self.assertEqual(der.encode_number(3 * 128 + 7), b("\x83\x07")) + # self.assertEqual(der.read_number("\x81\x9b" + "more"), (155, 2)) + # self.assertEqual(der.encode_number(155), b("\x81\x9b")) + for n in (0, 1, 2, 127, 128, 3 * 128 + 7, 840, 10045): # , 155): + x = der.encode_number(n) + b("more") + n1, llen = der.read_number(x) + self.assertEqual(n1, n) + self.assertEqual(x[llen:], b("more")) + + def test_length(self): + self.assertEqual(der.encode_length(0), b("\x00")) + self.assertEqual(der.encode_length(127), b("\x7f")) + self.assertEqual(der.encode_length(128), b("\x81\x80")) + self.assertEqual(der.encode_length(255), b("\x81\xff")) + self.assertEqual(der.encode_length(256), b("\x82\x01\x00")) + self.assertEqual(der.encode_length(3 * 256 + 7), b("\x82\x03\x07")) + self.assertEqual(der.read_length(b("\x81\x9b") + b("more")), (155, 2)) + self.assertEqual(der.encode_length(155), b("\x81\x9b")) + for n in (0, 1, 2, 127, 128, 255, 256, 3 * 256 + 7, 155): + x = der.encode_length(n) + b("more") + n1, llen = der.read_length(x) + self.assertEqual(n1, n) + self.assertEqual(x[llen:], b("more")) + + def test_sequence(self): + x = der.encode_sequence(b("ABC"), b("DEF")) + b("GHI") + self.assertEqual(x, b("\x30\x06ABCDEFGHI")) + x1, rest = der.remove_sequence(x) + self.assertEqual(x1, b("ABCDEF")) + self.assertEqual(rest, b("GHI")) + + def test_constructed(self): + x = der.encode_constructed(0, NIST224p.encoded_oid) + self.assertEqual(hexlify(x), b("a007") + b("06052b81040021")) + x = der.encode_constructed(1, unhexlify(b("0102030a0b0c"))) + self.assertEqual(hexlify(x), b("a106") + b("0102030a0b0c")) + + +class Util(unittest.TestCase): + def test_trytryagain(self): + tta = util.randrange_from_seed__trytryagain + for i in range(1000): + seed = "seed-%d" % i + for order in (2**8 - 2, 2**8 - 1, 2**8, 2**8 + 1, 2**8 + 2, + 2**16 - 1, 2**16 + 1): + n = tta(seed, order) + self.assertTrue(1 <= n < order, (1, n, order)) + # this trytryagain *does* provide long-term stability + self.assertEqual(("%x" % (tta("seed", NIST224p.order))).encode(), + b("6fa59d73bf0446ae8743cf748fc5ac11d5585a90356417e97155c3bc")) + + @given(st.integers(min_value=0, max_value=10**200)) + def test_randrange(self, i): + # util.randrange does not provide long-term stability: we might + # change the algorithm in the future. + entropy = util.PRNG("seed-%d" % i) + for order in (2**8 - 2, 2**8 - 1, 2**8, + 2**16 - 1, 2**16 + 1, + ): + # that oddball 2**16+1 takes half our runtime + n = util.randrange(order, entropy=entropy) + self.assertTrue(1 <= n < order, (1, n, order)) + + def OFF_test_prove_uniformity(self): # pragma: no cover + order = 2**8 - 2 + counts = dict([(i, 0) for i in range(1, order)]) + assert 0 not in counts + assert order not in counts + for i in range(1000000): + seed = "seed-%d" % i + n = util.randrange_from_seed__trytryagain(seed, order) + counts[n] += 1 + # this technique should use the full range + self.assertTrue(counts[order - 1]) + for i in range(1, order): + print_("%3d: %s" % (i, "*" * (counts[i] // 100))) + + +class RFC6979(unittest.TestCase): + # https://tools.ietf.org/html/rfc6979#appendix-A.1 + def _do(self, generator, secexp, hsh, hash_func, expected): + actual = rfc6979.generate_k(generator.order(), secexp, hash_func, hsh) + self.assertEqual(expected, actual) + + def test_SECP256k1(self): + '''RFC doesn't contain test vectors for SECP256k1 used in bitcoin. + This vector has been computed by Golang reference implementation instead.''' + self._do( + generator=SECP256k1.generator, + secexp=int("9d0219792467d7d37b4d43298a7d0c05", 16), + hsh=sha256(b("sample")).digest(), + hash_func=sha256, + expected=int("8fa1f95d514760e498f28957b824ee6ec39ed64826ff4fecc2b5739ec45b91cd", 16)) + + def test_SECP256k1_2(self): + self._do( + generator=SECP256k1.generator, + secexp=int("cca9fbcc1b41e5a95d369eaa6ddcff73b61a4efaa279cfc6567e8daa39cbaf50", 16), + hsh=sha256(b("sample")).digest(), + hash_func=sha256, + expected=int("2df40ca70e639d89528a6b670d9d48d9165fdc0febc0974056bdce192b8e16a3", 16)) + + def test_SECP256k1_3(self): + self._do( + generator=SECP256k1.generator, + secexp=0x1, + hsh=sha256(b("Satoshi Nakamoto")).digest(), + hash_func=sha256, + expected=0x8F8A276C19F4149656B280621E358CCE24F5F52542772691EE69063B74F15D15) + + def test_SECP256k1_4(self): + self._do( + generator=SECP256k1.generator, + secexp=0x1, + hsh=sha256(b("All those moments will be lost in time, like tears in rain. Time to die...")).digest(), + hash_func=sha256, + expected=0x38AA22D72376B4DBC472E06C3BA403EE0A394DA63FC58D88686C611ABA98D6B3) + + def test_SECP256k1_5(self): + self._do( + generator=SECP256k1.generator, + secexp=0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364140, + hsh=sha256(b("Satoshi Nakamoto")).digest(), + hash_func=sha256, + expected=0x33A19B60E25FB6F4435AF53A3D42D493644827367E6453928554F43E49AA6F90) + + def test_SECP256k1_6(self): + self._do( + generator=SECP256k1.generator, + secexp=0xf8b8af8ce3c7cca5e300d33939540c10d45ce001b8f252bfbc57ba0342904181, + hsh=sha256(b("Alan Turing")).digest(), + hash_func=sha256, + expected=0x525A82B70E67874398067543FD84C83D30C175FDC45FDEEE082FE13B1D7CFDF1) + + def test_1(self): + # Basic example of the RFC, it also tests 'try-try-again' from Step H of rfc6979 + self._do( + generator=Point(None, 0, 0, int("4000000000000000000020108A2E0CC0D99F8A5EF", 16)), + secexp=int("09A4D6792295A7F730FC3F2B49CBC0F62E862272F", 16), + hsh=unhexlify(b("AF2BDBE1AA9B6EC1E2ADE1D694F41FC71A831D0268E9891562113D8A62ADD1BF")), + hash_func=sha256, + expected=int("23AF4074C90A02B3FE61D286D5C87F425E6BDD81B", 16)) + + def test_2(self): + self._do( + generator=NIST192p.generator, + secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16), + hsh=sha1(b("sample")).digest(), + hash_func=sha1, + expected=int("37D7CA00D2C7B0E5E412AC03BD44BA837FDD5B28CD3B0021", 16)) + + def test_3(self): + self._do( + generator=NIST192p.generator, + secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16), + hsh=sha256(b("sample")).digest(), + hash_func=sha256, + expected=int("32B1B6D7D42A05CB449065727A84804FB1A3E34D8F261496", 16)) + + def test_4(self): + self._do( + generator=NIST192p.generator, + secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16), + hsh=sha512(b("sample")).digest(), + hash_func=sha512, + expected=int("A2AC7AB055E4F20692D49209544C203A7D1F2C0BFBC75DB1", 16)) + + def test_5(self): + self._do( + generator=NIST192p.generator, + secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16), + hsh=sha1(b("test")).digest(), + hash_func=sha1, + expected=int("D9CF9C3D3297D3260773A1DA7418DB5537AB8DD93DE7FA25", 16)) + + def test_6(self): + self._do( + generator=NIST192p.generator, + secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16), + hsh=sha256(b("test")).digest(), + hash_func=sha256, + expected=int("5C4CE89CF56D9E7C77C8585339B006B97B5F0680B4306C6C", 16)) + + def test_7(self): + self._do( + generator=NIST192p.generator, + secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16), + hsh=sha512(b("test")).digest(), + hash_func=sha512, + expected=int("0758753A5254759C7CFBAD2E2D9B0792EEE44136C9480527", 16)) + + def test_8(self): + self._do( + generator=NIST521p.generator, + secexp=int("0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538", 16), + hsh=sha1(b("sample")).digest(), + hash_func=sha1, + expected=int("089C071B419E1C2820962321787258469511958E80582E95D8378E0C2CCDB3CB42BEDE42F50E3FA3C71F5A76724281D31D9C89F0F91FC1BE4918DB1C03A5838D0F9", 16)) + + def test_9(self): + self._do( + generator=NIST521p.generator, + secexp=int("0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538", 16), + hsh=sha256(b("sample")).digest(), + hash_func=sha256, + expected=int("0EDF38AFCAAECAB4383358B34D67C9F2216C8382AAEA44A3DAD5FDC9C32575761793FEF24EB0FC276DFC4F6E3EC476752F043CF01415387470BCBD8678ED2C7E1A0", 16)) + + def test_10(self): + self._do( + generator=NIST521p.generator, + secexp=int("0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538", 16), + hsh=sha512(b("test")).digest(), + hash_func=sha512, + expected=int("16200813020EC986863BEDFC1B121F605C1215645018AEA1A7B215A564DE9EB1B38A67AA1128B80CE391C4FB71187654AAA3431027BFC7F395766CA988C964DC56D", 16)) + + +class ECDH(unittest.TestCase): + def _do(self, curve, generator, dA, x_qA, y_qA, dB, x_qB, y_qB, x_Z, y_Z): + qA = dA * generator + qB = dB * generator + Z = dA * qB + self.assertEqual(Point(curve, x_qA, y_qA), qA) + self.assertEqual(Point(curve, x_qB, y_qB), qB) + self.assertTrue((dA * qB) == + (dA * dB * generator) == + (dB * dA * generator) == + (dB * qA)) + self.assertEqual(Point(curve, x_Z, y_Z), Z) + + +class RFC6932(ECDH): + # https://tools.ietf.org/html/rfc6932#appendix-A.1 + + def test_brainpoolP224r1(self): + self._do( + curve=curve_brainpoolp224r1, + generator=BRAINPOOLP224r1.generator, + dA=int("7C4B7A2C8A4BAD1FBB7D79CC0955DB7C6A4660CA64CC4778159B495E", + 16), + x_qA=int("B104A67A6F6E85E14EC1825E1539E8ECDBBF584922367DD88C6BDCF2", + 16), + y_qA=int("46D782E7FDB5F60CD8404301AC5949C58EDB26BC68BA07695B750A94", + 16), + dB=int("63976D4AAE6CD0F6DD18DEFEF55D96569D0507C03E74D6486FFA28FB", + 16), + x_qB=int("2A97089A9296147B71B21A4B574E1278245B536F14D8C2B9D07A874E", + 16), + y_qB=int("9B900D7C77A709A797276B8CA1BA61BB95B546FC29F862E44D59D25B", + 16), + x_Z=int("312DFD98783F9FB77B9704945A73BEB6DCCBE3B65D0F967DCAB574EB", + 16), + y_Z=int("6F800811D64114B1C48C621AB3357CF93F496E4238696A2A012B3C98", + 16)) + + def test_brainpoolP256r1(self): + self._do( + curve=curve_brainpoolp256r1, + generator=BRAINPOOLP256r1.generator, + dA=int("041EB8B1E2BC681BCE8E39963B2E9FC415B05283313DD1A8BCC055F11AE" + "49699", 16), + x_qA=int("78028496B5ECAAB3C8B6C12E45DB1E02C9E4D26B4113BC4F015F60C5C" + "CC0D206", 16), + y_qA=int("A2AE1762A3831C1D20F03F8D1E3C0C39AFE6F09B4D44BBE80CD100987" + "B05F92B", 16), + dB=int("06F5240EACDB9837BC96D48274C8AA834B6C87BA9CC3EEDD81F99A16B8D" + "804D3", 16), + x_qB=int("8E07E219BA588916C5B06AA30A2F464C2F2ACFC1610A3BE2FB240B635" + "341F0DB", 16), + y_qB=int("148EA1D7D1E7E54B9555B6C9AC90629C18B63BEE5D7AA6949EBBF47B2" + "4FDE40D", 16), + x_Z=int("05E940915549E9F6A4A75693716E37466ABA79B4BF2919877A16DD2CC2" + "E23708", 16), + y_Z=int("6BC23B6702BC5A019438CEEA107DAAD8B94232FFBBC350F3B137628FE6" + "FD134C", 16)) + + def test_brainpoolP384r1(self): + self._do( + curve=curve_brainpoolp384r1, + generator=BRAINPOOLP384r1.generator, + dA=int("014EC0755B78594BA47FB0A56F6173045B4331E74BA1A6F47322E70D79D" + "828D97E095884CA72B73FDABD5910DF0FA76A", 16), + x_qA=int("45CB26E4384DAF6FB776885307B9A38B7AD1B5C692E0C32F012533277" + "8F3B8D3F50CA358099B30DEB5EE69A95C058B4E", 16), + y_qA=int("8173A1C54AFFA7E781D0E1E1D12C0DC2B74F4DF58E4A4E3AF7026C5D3" + "2DC530A2CD89C859BB4B4B768497F49AB8CC859", 16), + dB=int("6B461CB79BD0EA519A87D6828815D8CE7CD9B3CAA0B5A8262CBCD550A01" + "5C90095B976F3529957506E1224A861711D54", 16), + x_qB=int("01BF92A92EE4BE8DED1A911125C209B03F99E3161CFCC986DC7711383" + "FC30AF9CE28CA3386D59E2C8D72CE1E7B4666E8", 16), + y_qB=int("3289C4A3A4FEE035E39BDB885D509D224A142FF9FBCC5CFE5CCBB3026" + "8EE47487ED8044858D31D848F7A95C635A347AC", 16), + x_Z=int("04CC4FF3DCCCB07AF24E0ACC529955B36D7C807772B92FCBE48F3AFE9A" + "2F370A1F98D3FA73FD0C0747C632E12F1423EC", 16), + y_Z=int("7F465F90BD69AFB8F828A214EB9716D66ABC59F17AF7C75EE7F1DE22AB" + "5D05085F5A01A9382D05BF72D96698FE3FF64E", 16)) + + def test_brainpoolP512r1(self): + self._do( + curve=curve_brainpoolp512r1, + generator=BRAINPOOLP512r1.generator, + dA=int("636B6BE0482A6C1C41AA7AE7B245E983392DB94CECEA2660A379CFE1595" + "59E357581825391175FC195D28BAC0CF03A7841A383B95C262B98378287" + "4CCE6FE333", 16), + x_qA=int("0562E68B9AF7CBFD5565C6B16883B777FF11C199161ECC427A39D17EC" + "2166499389571D6A994977C56AD8252658BA8A1B72AE42F4FB7532151" + "AFC3EF0971CCDA", 16), + y_qA=int("A7CA2D8191E21776A89860AFBC1F582FAA308D551C1DC6133AF9F9C3C" + "AD59998D70079548140B90B1F311AFB378AA81F51B275B2BE6B7DEE97" + "8EFC7343EA642E", 16), + dB=int("0AF4E7F6D52EDD52907BB8DBAB3992A0BB696EC10DF11892FF205B66D38" + "1ECE72314E6A6EA079CEA06961DBA5AE6422EF2E9EE803A1F236FB96A17" + "99B86E5C8B", 16), + x_qB=int("5A7954E32663DFF11AE24712D87419F26B708AC2B92877D6BFEE2BFC4" + "3714D89BBDB6D24D807BBD3AEB7F0C325F862E8BADE4F74636B97EAAC" + "E739E11720D323", 16), + y_qB=int("96D14621A9283A1BED84DE8DD64836B2C0758B11441179DC0C54C0D49" + "A47C03807D171DD544B72CAAEF7B7CE01C7753E2CAD1A861ECA55A719" + "54EE1BA35E04BE", 16), + x_Z=int("1EE8321A4BBF93B9CF8921AB209850EC9B7066D1984EF08C2BB7232362" + "08AC8F1A483E79461A00E0D5F6921CE9D360502F85C812BEDEE23AC5B2" + "10E5811B191E", 16), + y_Z=int("2632095B7B936174B41FD2FAF369B1D18DCADEED7E410A7E251F083109" + "7C50D02CFED02607B6A2D5ADB4C0006008562208631875B58B54ECDA5A" + "4F9FE9EAABA6", 16)) + + +class RFC7027(ECDH): + # https://tools.ietf.org/html/rfc7027#appendix-A + + def test_brainpoolP256r1(self): + self._do( + curve=curve_brainpoolp256r1, + generator=BRAINPOOLP256r1.generator, + dA=int("81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B0630398" + "04F1D", 16), + x_qA=int("44106E913F92BC02A1705D9953A8414DB95E1AAA49E81D9E85F929A8E" + "3100BE5", 16), + y_qA=int("8AB4846F11CACCB73CE49CBDD120F5A900A69FD32C272223F789EF10E" + "B089BDC", 16), + dB=int("55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D" + "76BD3", 16), + x_qB=int("8D2D688C6CF93E1160AD04CC4429117DC2C41825E1E9FCA0ADDD34E6F" + "1B39F7B", 16), + y_qB=int("990C57520812BE512641E47034832106BC7D3E8DD0E4C7F1136D70065" + "47CEC6A", 16), + x_Z=int("89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A" + "18BF2B", 16), + y_Z=int("49C27868F4ECA2179BFD7D59B1E3BF34C1DBDE61AE12931648F43E5963" + "2504DE", 16)) + + def test_brainpoolP384r1(self): + self._do( + curve=curve_brainpoolp384r1, + generator=BRAINPOOLP384r1.generator, + dA=int("1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0B" + "D65D6F15EB5D1EE1610DF870795143627D042", 16), + x_qA=int("68B665DD91C195800650CDD363C625F4E742E8134667B767B1B476793" + "588F885AB698C852D4A6E77A252D6380FCAF068", 16), + y_qA=int("55BC91A39C9EC01DEE36017B7D673A931236D2F1F5C83942D049E3FA2" + "0607493E0D038FF2FD30C2AB67D15C85F7FAA59", 16), + dB=int("032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F7" + "4E01F8BA5E0324309DB6A9831497ABAC96670", 16), + x_qB=int("4D44326F269A597A5B58BBA565DA5556ED7FD9A8A9EB76C25F46DB69D" + "19DC8CE6AD18E404B15738B2086DF37E71D1EB4", 16), + y_qB=int("62D692136DE56CBE93BF5FA3188EF58BC8A3A0EC6C1E151A21038A42E" + "9185329B5B275903D192F8D4E1F32FE9CC78C48", 16), + x_Z=int("0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBC" + "E239BBADF6403715C35D4FB2A5444F575D4F42", 16), + y_Z=int("0DF213417EBE4D8E40A5F76F66C56470C489A3478D146DECF6DF0D94BA" + "E9E598157290F8756066975F1DB34B2324B7BD", 16)) + + def test_brainpoolP512r1(self): + self._do( + curve=curve_brainpoolp512r1, + generator=BRAINPOOLP512r1.generator, + dA=int("16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD8" + "7BD59B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764C" + "AD57665422", 16), + x_qA=int("0A420517E406AAC0ACDCE90FCD71487718D3B953EFD7FBEC5F7F27E28" + "C6149999397E91E029E06457DB2D3E640668B392C2A7E737A7F0BF044" + "36D11640FD09FD", 16), + y_qA=int("72E6882E8DB28AAD36237CD25D580DB23783961C8DC52DFA2EC138AD4" + "72A0FCEF3887CF62B623B2A87DE5C588301EA3E5FC269B373B60724F5" + "E82A6AD147FDE7", 16), + dB=int("230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49" + "D12CFABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB8050" + "3666B25429", 16), + x_qB=int("9D45F66DE5D67E2E6DB6E93A59CE0BB48106097FF78A081DE781CDB31" + "FCE8CCBAAEA8DD4320C4119F1E9CD437A2EAB3731FA9668AB268D871D" + "EDA55A5473199F", 16), + y_qB=int("2FDC313095BCDD5FB3A91636F07A959C8E86B5636A1E930E8396049CB" + "481961D365CC11453A06C719835475B12CB52FC3C383BCE35E27EF194" + "512B71876285FA", 16), + x_Z=int("A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226" + "244B76D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1" + "454B21C4CD1F", 16), + y_Z=int("7DB71C3DEF63212841C463E881BDCF055523BD368240E6C3143BD8DEF8" + "B3B3223B95E0F53082FF5E412F4222537A43DF1C6D25729DDB51620A83" + "2BE6A26680A2", 16)) + + +# https://tools.ietf.org/html/rfc4754#page-5 +@pytest.mark.parametrize("w, gwx, gwy, k, msg, md, r, s, curve", + [pytest.param( + "DC51D3866A15BACDE33D96F992FCA99DA7E6EF0934E7097559C27F1614C88A7F", + "2442A5CC0ECD015FA3CA31DC8E2BBC70BF42D60CBCA20085E0822CB04235E970", + "6FC98BD7E50211A4A27102FA3549DF79EBCB4BF246B80945CDDFE7D509BBFD7D", + "9E56F509196784D963D1C0A401510EE7ADA3DCC5DEE04B154BF61AF1D5A6DECE", + b"abc", + sha256, + "CB28E0999B9C7715FD0A80D8E47A77079716CBBF917DD72E97566EA1C066957C", + "86FA3BB4E26CAD5BF90B7F81899256CE7594BB1EA0C89212748BFF3B3D5B0315", + NIST256p, + id="ECDSA-256"), + pytest.param( + "0BEB646634BA87735D77AE4809A0EBEA865535DE4C1E1DCB692E84708E81A5AF" + "62E528C38B2A81B35309668D73524D9F", + "96281BF8DD5E0525CA049C048D345D3082968D10FEDF5C5ACA0C64E6465A97EA" + "5CE10C9DFEC21797415710721F437922", + "447688BA94708EB6E2E4D59F6AB6D7EDFF9301D249FE49C33096655F5D502FAD" + "3D383B91C5E7EDAA2B714CC99D5743CA", + "B4B74E44D71A13D568003D7489908D564C7761E229C58CBFA18950096EB7463B" + "854D7FA992F934D927376285E63414FA", + b'abc', + sha384, + "FB017B914E29149432D8BAC29A514640B46F53DDAB2C69948084E2930F1C8F7E" + "08E07C9C63F2D21A07DCB56A6AF56EB3", + "B263A1305E057F984D38726A1B46874109F417BCA112674C528262A40A629AF1" + "CBB9F516CE0FA7D2FF630863A00E8B9F", + NIST384p, + id="ECDSA-384"), + pytest.param( + "0065FDA3409451DCAB0A0EAD45495112A3D813C17BFD34BDF8C1209D7DF58491" + "20597779060A7FF9D704ADF78B570FFAD6F062E95C7E0C5D5481C5B153B48B37" + "5FA1", + "0151518F1AF0F563517EDD5485190DF95A4BF57B5CBA4CF2A9A3F6474725A35F" + "7AFE0A6DDEB8BEDBCD6A197E592D40188901CECD650699C9B5E456AEA5ADD190" + "52A8", + "006F3B142EA1BFFF7E2837AD44C9E4FF6D2D34C73184BBAD90026DD5E6E85317" + "D9DF45CAD7803C6C20035B2F3FF63AFF4E1BA64D1C077577DA3F4286C58F0AEA" + "E643", + "00C1C2B305419F5A41344D7E4359933D734096F556197A9B244342B8B62F46F9" + "373778F9DE6B6497B1EF825FF24F42F9B4A4BD7382CFC3378A540B1B7F0C1B95" + "6C2F", + b'abc', + sha512, + "0154FD3836AF92D0DCA57DD5341D3053988534FDE8318FC6AAAAB68E2E6F4339" + "B19F2F281A7E0B22C269D93CF8794A9278880ED7DBB8D9362CAEACEE54432055" + "2251", + "017705A7030290D1CEB605A9A1BB03FF9CDD521E87A696EC926C8C10C8362DF4" + "975367101F67D1CF9BCCBF2F3D239534FA509E70AAC851AE01AAC68D62F86647" + "2660", + NIST521p, + id="ECDSA-521") + ]) +def test_RFC4754_vectors(w, gwx, gwy, k, msg, md, r, s, curve): + sk = SigningKey.from_string(unhexlify(w), curve) + vk = VerifyingKey.from_string(unhexlify(gwx + gwy), curve) + assert sk.verifying_key == vk + sig = sk.sign(msg, hashfunc=md, sigencode=sigencode_strings, k=int(k, 16)) + + assert sig == (unhexlify(r), unhexlify(s)) + + assert vk.verify(sig, msg, md, sigdecode_strings) |