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104 lines
4.0 KiB
104 lines
4.0 KiB
# This file is part of the Trezor project.
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#
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# Copyright (C) 2012-2018 SatoshiLabs and contributors
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#
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# This library is free software: you can redistribute it and/or modify
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# it under the terms of the GNU Lesser General Public License version 3
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# as published by the Free Software Foundation.
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#
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# This library is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU Lesser General Public License for more details.
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#
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# You should have received a copy of the License along with this library.
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# If not, see <https://www.gnu.org/licenses/lgpl-3.0.html>.
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from functools import reduce
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import binascii
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from typing import Iterable, Tuple
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from . import messages
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from .tools import expect
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from . import _ed25519
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# XXX, these could be NewType's, but that would infect users of the cosi module with these types as well.
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# Unsure if we want that.
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Ed25519PrivateKey = bytes
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Ed25519PublicPoint = bytes
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Ed25519Signature = bytes
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def combine_keys(pks: Iterable[Ed25519PublicPoint]) -> Ed25519PublicPoint:
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"""Combine a list of Ed25519 points into a "global" CoSi key."""
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P = [_ed25519.decodepoint(pk) for pk in pks]
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combine = reduce(_ed25519.edwards, P)
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return Ed25519PublicPoint(_ed25519.encodepoint(combine))
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def combine_sig(global_R: Ed25519PublicPoint, sigs: Iterable[Ed25519Signature]) -> Ed25519Signature:
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"""Combine a list of signatures into a single CoSi signature."""
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S = [_ed25519.decodeint(si) for si in sigs]
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s = sum(S) % _ed25519.l
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sig = global_R + _ed25519.encodeint(s)
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return Ed25519Signature(sig)
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def get_nonce(sk: Ed25519PrivateKey, data: bytes, ctr: int = 0) -> Tuple[int, Ed25519PublicPoint]:
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"""Calculate CoSi nonces for given data.
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These differ from Ed25519 deterministic nonces in that there is a counter appended at end.
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Returns both the private point `r` and the partial signature `R`.
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`r` is returned for performance reasons: :func:`sign_with_privkey`
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takes it as its `nonce` argument so that it doesn't repeat the `get_nonce` call.
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`R` should be combined with other partial signatures through :func:`combine_keys`
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to obtain a "global commitment".
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"""
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h = _ed25519.H(sk)
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b = _ed25519.b
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r = _ed25519.Hint(bytes([h[i] for i in range(b >> 3, b >> 2)]) + data + binascii.unhexlify('%08x' % ctr))
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R = _ed25519.scalarmult(_ed25519.B, r)
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return r, Ed25519PublicPoint(_ed25519.encodepoint(R))
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def verify(signature: Ed25519Signature, digest: bytes, pub_key: Ed25519PublicPoint) -> None:
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"""Verify Ed25519 signature. Raise exception if the signature is invalid."""
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# XXX this *might* change to bool function
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_ed25519.checkvalid(signature, digest, pub_key)
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def pubkey_from_privkey(privkey: Ed25519PrivateKey) -> Ed25519PublicPoint:
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"""Interpret 32 bytes of data as an Ed25519 private key.
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Calculate and return the corresponding public key.
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"""
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return Ed25519PublicPoint(_ed25519.publickey(privkey))
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def sign_with_privkey(digest: bytes, privkey: Ed25519PrivateKey,
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global_pubkey: Ed25519PublicPoint,
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nonce: int,
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global_commit: Ed25519PublicPoint) -> Ed25519Signature:
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"""Create a CoSi signature of `digest` with the supplied private key.
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This function needs to know the global public key and global commitment.
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"""
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h = _ed25519.H(privkey)
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b = _ed25519.b
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a = 2 ** (b - 2) + sum(2 ** i * _ed25519.bit(h, i) for i in range(3, b - 2))
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S = (nonce + _ed25519.Hint(global_commit + global_pubkey + digest) * a) % _ed25519.l
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return Ed25519Signature(_ed25519.encodeint(S))
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# ====== Client functions ====== #
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@expect(messages.CosiCommitment)
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def commit(client, n, data):
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return client.call(messages.CosiCommit(address_n=n, data=data))
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@expect(messages.CosiSignature)
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def sign(client, n, data, global_commitment, global_pubkey):
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return client.call(messages.CosiSign(address_n=n, data=data, global_commitment=global_commitment, global_pubkey=global_pubkey))
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