trezor-firmware/trezorlib/tests/unit_tests/test_cosi.py

import binascii
import hashlib
import pytest

from trezorlib import cosi

# These tests calculate Ed25519 signatures in pure Python.
# In addition to being Python, this is also DJB's proof-of-concept, unoptimized code.
# As a result, it is actually very noticeably slow. On a gen8 Core i5, this takes around 40 seconds.
# To skip the test, run `pytest -m "not slow_cosi"`.

# Therefore, the tests are skipped by default.
# Run `pytest -m slow_cosi` to explicitly enable.

pytestmark = pytest.mark.slow_cosi
if "slow_cosi" not in pytest.config.getoption("-m"):
    pytestmark = pytest.mark.skip("Skipping slow CoSi tests. 'pytest -m slow_cosi' to run.")


RFC8032_VECTORS = (
    (  # test 1
        # privkey
        binascii.unhexlify("9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60"),
        # pubkey
        binascii.unhexlify("d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a"),
        # message
        binascii.unhexlify(""),
        # signature
        binascii.unhexlify("e5564300c360ac729086e2cc806e828a84877f1eb8e5d974d873e06522490155"
                           "5fb8821590a33bacc61e39701cf9b46bd25bf5f0595bbe24655141438e7a100b"),
    ),
    (  # test 2
        # privkey
        binascii.unhexlify("4ccd089b28ff96da9db6c346ec114e0f5b8a319f35aba624da8cf6ed4fb8a6fb"),
        # pubkey
        binascii.unhexlify("3d4017c3e843895a92b70aa74d1b7ebc9c982ccf2ec4968cc0cd55f12af4660c"),
        # message
        binascii.unhexlify("72"),
        # signature
        binascii.unhexlify("92a009a9f0d4cab8720e820b5f642540a2b27b5416503f8fb3762223ebdb69da"
                           "085ac1e43e15996e458f3613d0f11d8c387b2eaeb4302aeeb00d291612bb0c00"),
    ),
    (  # test 3
        # privkey
        binascii.unhexlify("c5aa8df43f9f837bedb7442f31dcb7b166d38535076f094b85ce3a2e0b4458f7"),
        # pubkey
        binascii.unhexlify("fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025"),
        # message
        binascii.unhexlify("af82"),
        # signature
        binascii.unhexlify("6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac"
                           "18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a"),
    ),
    (  # test SHA(abc)
        # privkey
        binascii.unhexlify("833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42"),
        # pubkey
        binascii.unhexlify("ec172b93ad5e563bf4932c70e1245034c35467ef2efd4d64ebf819683467e2bf"),
        # message
        hashlib.sha512(b"abc").digest(),
        # signature
        binascii.unhexlify("dc2a4459e7369633a52b1bf277839a00201009a3efbf3ecb69bea2186c26b589"
                           "09351fc9ac90b3ecfdfbc7c66431e0303dca179c138ac17ad9bef1177331a704"),
    ),
)

COMBINED_KEY = binascii.unhexlify("283967b1c19ff93d2924cdcba95e586547cafef509ea402963ceefe96ccb44f2")
GLOBAL_COMMIT = binascii.unhexlify("75bd5806c6366e0374a1c6e020c53feb0791d6cc07560d27d8c158f886ecf389")


@pytest.mark.parametrize("privkey, pubkey, message, signature",
                         RFC8032_VECTORS)
def test_single_eddsa_vector(privkey, pubkey, message, signature):
    my_pubkey = cosi.pubkey_from_privkey(privkey)
    assert my_pubkey == pubkey
    try:
        cosi.verify(signature, message, pubkey)
    except ValueError:
        pytest.fail("Signature does not verify.")

    fake_signature = b'\xf1' + signature[1:]
    with pytest.raises(ValueError):
        cosi.verify(fake_signature, message, pubkey)


def test_combine_keys():
    pubkeys = [pubkey for _, pubkey, _, _ in RFC8032_VECTORS]
    assert cosi.combine_keys(pubkeys) == COMBINED_KEY

    Rs = [cosi.get_nonce(privkey, message)[1] for privkey, _, message, _ in RFC8032_VECTORS]
    assert cosi.combine_keys(Rs) == GLOBAL_COMMIT


@pytest.mark.parametrize("keyset", [
    (0,),
    (0, 1),
    (0, 1, 2),
    (0, 1, 2, 3),
    (1, 3),
])
def test_cosi_combination(keyset):
    message = hashlib.sha512(b"You all have to sign this.").digest()
    selection = [RFC8032_VECTORS[i] for i in keyset]

    # zip(*iterable) turns a list of tuples to a tuple of lists
    privkeys, pubkeys, _, _ = zip(*selection)
    nonce_pairs = [cosi.get_nonce(pk, message) for pk in privkeys]
    nonces, commits = zip(*nonce_pairs)

    # calculate global pubkey and commitment
    global_pk = cosi.combine_keys(pubkeys)
    global_commit = cosi.combine_keys(commits)

    # generate individual signatures
    signatures = [cosi.sign_with_privkey(message, privkey, global_pk, nonce, global_commit)
                  for privkey, nonce in zip(privkeys, nonces)]

    # combine signatures
    global_sig = cosi.combine_sig(global_commit, signatures)

    try:
        cosi.verify(global_sig, message, global_pk)
    except ValueError:
        pytest.fail("Failed to validate global signature")