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# This file is part of the Trezor project.
#
# Copyright (C) 2012-2022 SatoshiLabs and contributors
#
# This library is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License version 3
# as published by the Free Software Foundation.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the License along with this library.
# If not, see <https://www.gnu.org/licenses/lgpl-3.0.html>.
import hashlib
import pytest
from trezorlib import _ed25519, cosi
RFC8032_VECTORS = (
( # test 1
# privkey
bytes.fromhex(
"9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60"
),
# pubkey
bytes.fromhex(
"d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a"
),
# message
bytes.fromhex(""),
# signature
bytes.fromhex(
"e5564300c360ac729086e2cc806e828a84877f1eb8e5d974d873e06522490155"
"5fb8821590a33bacc61e39701cf9b46bd25bf5f0595bbe24655141438e7a100b"
),
),
( # test 2
# privkey
bytes.fromhex(
"4ccd089b28ff96da9db6c346ec114e0f5b8a319f35aba624da8cf6ed4fb8a6fb"
),
# pubkey
bytes.fromhex(
"3d4017c3e843895a92b70aa74d1b7ebc9c982ccf2ec4968cc0cd55f12af4660c"
),
# message
bytes.fromhex("72"),
# signature
bytes.fromhex(
"92a009a9f0d4cab8720e820b5f642540a2b27b5416503f8fb3762223ebdb69da"
"085ac1e43e15996e458f3613d0f11d8c387b2eaeb4302aeeb00d291612bb0c00"
),
),
( # test 3
# privkey
bytes.fromhex(
"c5aa8df43f9f837bedb7442f31dcb7b166d38535076f094b85ce3a2e0b4458f7"
),
# pubkey
bytes.fromhex(
"fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025"
),
# message
bytes.fromhex("af82"),
# signature
bytes.fromhex(
"6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac"
"18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a"
),
),
( # test SHA(abc)
# privkey
bytes.fromhex(
"833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42"
),
# pubkey
bytes.fromhex(
"ec172b93ad5e563bf4932c70e1245034c35467ef2efd4d64ebf819683467e2bf"
),
# message
hashlib.sha512(b"abc").digest(),
# signature
bytes.fromhex(
"dc2a4459e7369633a52b1bf277839a00201009a3efbf3ecb69bea2186c26b589"
"09351fc9ac90b3ecfdfbc7c66431e0303dca179c138ac17ad9bef1177331a704"
),
),
)
COMBINED_KEY = bytes.fromhex(
"283967b1c19ff93d2924cdcba95e586547cafef509ea402963ceefe96ccb44f2"
)
GLOBAL_COMMIT = bytes.fromhex(
"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_combined(signature, message, pubkey)
except ValueError:
pytest.fail("Signature does not verify.")
fake_signature = signature[:37] + b"\xf0" + signature[38:]
with pytest.raises(_ed25519.SignatureMismatch):
cosi.verify_combined(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_combined(global_sig, message, global_pk)
except Exception:
pytest.fail("Failed to validate global signature")
def test_m_of_n():
privkeys, pubkeys, _, _ = zip(*RFC8032_VECTORS)
message = hashlib.sha512(b"My hovercraft is full of eels!").digest()
signer_ids = 0, 2, 3
signers = [privkeys[i] for i in signer_ids]
signer_pubkeys = [pubkeys[i] for i in signer_ids]
sigmask = sum(1 << i for i in signer_ids)
# generate multisignature
nonce_pairs = [cosi.get_nonce(pk, message) for pk in signers]
nonces, commits = zip(*nonce_pairs)
global_pk = cosi.combine_keys(signer_pubkeys)
global_commit = cosi.combine_keys(commits)
signatures = [
cosi.sign_with_privkey(message, privkey, global_pk, nonce, global_commit)
for privkey, nonce in zip(signers, nonces)
]
global_sig = cosi.combine_sig(global_commit, signatures)
try:
# this is what we are actually doing
cosi.verify(global_sig, message, 3, pubkeys, sigmask)
# we can require less signers too
cosi.verify(global_sig, message, 1, pubkeys, sigmask)
except Exception:
pytest.fail("Failed to validate by sigmask")
# and now for various ways that should fail
with pytest.raises(ValueError) as e:
cosi.verify(global_sig, message, 3, pubkeys[:2], sigmask)
assert "more public keys than provided" in e.value.args[0]
with pytest.raises(ValueError) as e:
cosi.verify(global_sig, message, 0, pubkeys, 0)
assert "At least one signer" in e.value.args[0]
with pytest.raises(_ed25519.SignatureMismatch) as e:
# at least 5 signatures required
cosi.verify(global_sig, message, 5, pubkeys, sigmask)
assert "Insufficient number of signatures" in e.value.args[0]
with pytest.raises(_ed25519.SignatureMismatch) as e:
# wrong sigmask
cosi.verify(global_sig, message, 3, pubkeys, 7)
assert "signature does not pass verification" in e.value.args[0]
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