mirror of
https://github.com/trezor/trezor-firmware.git
synced 2024-11-16 04:29:08 +00:00
148 lines
4.5 KiB
Python
148 lines
4.5 KiB
Python
# This file is part of the Trezor project.
|
|
#
|
|
# Copyright (C) 2012-2019 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 hmac
|
|
import struct
|
|
from copy import copy
|
|
from typing import Any, List, Tuple
|
|
|
|
import ecdsa
|
|
from ecdsa.curves import SECP256k1
|
|
from ecdsa.ellipticcurve import INFINITY, Point
|
|
from ecdsa.util import number_to_string, string_to_number
|
|
|
|
from trezorlib import messages, tools
|
|
|
|
|
|
def point_to_pubkey(point: Point) -> bytes:
|
|
order = SECP256k1.order
|
|
x_str = number_to_string(point.x(), order)
|
|
y_str = number_to_string(point.y(), order)
|
|
vk = x_str + y_str
|
|
return struct.pack("B", (vk[63] & 1) + 2) + vk[0:32] # To compressed key
|
|
|
|
|
|
def sec_to_public_pair(pubkey: bytes) -> Tuple[int, Any]:
|
|
"""Convert a public key in sec binary format to a public pair."""
|
|
x = string_to_number(pubkey[1:33])
|
|
sec0 = pubkey[:1]
|
|
if sec0 not in (b"\2", b"\3"):
|
|
raise ValueError("Compressed pubkey expected")
|
|
|
|
def public_pair_for_x(generator, x: int, is_even: bool) -> Tuple[int, Any]:
|
|
curve = generator.curve()
|
|
p = curve.p()
|
|
alpha = (pow(x, 3, p) + curve.a() * x + curve.b()) % p
|
|
beta = ecdsa.numbertheory.square_root_mod_prime(alpha, p)
|
|
if is_even == bool(beta & 1):
|
|
return (x, p - beta)
|
|
return (x, beta)
|
|
|
|
return public_pair_for_x(
|
|
ecdsa.ecdsa.generator_secp256k1, x, is_even=(sec0 == b"\2")
|
|
)
|
|
|
|
|
|
def fingerprint(pubkey: bytes) -> int:
|
|
return string_to_number(tools.hash_160(pubkey)[:4])
|
|
|
|
|
|
def get_address(public_node: messages.HDNodeType, address_type: int) -> str:
|
|
return tools.public_key_to_bc_address(public_node.public_key, address_type)
|
|
|
|
|
|
def public_ckd(public_node: messages.HDNodeType, n: List[int]):
|
|
if not isinstance(n, list):
|
|
raise ValueError("Parameter must be a list")
|
|
|
|
node = copy(public_node)
|
|
|
|
for i in n:
|
|
node = get_subnode(node, i)
|
|
|
|
return node
|
|
|
|
|
|
def get_subnode(node: messages.HDNodeType, i: int) -> messages.HDNodeType:
|
|
# Public Child key derivation (CKD) algorithm of BIP32
|
|
i_as_bytes = struct.pack(">L", i)
|
|
|
|
if i & tools.HARDENED_FLAG:
|
|
raise ValueError("Prime derivation not supported")
|
|
|
|
# Public derivation
|
|
data = node.public_key + i_as_bytes
|
|
|
|
I64 = hmac.HMAC(key=node.chain_code, msg=data, digestmod=hashlib.sha512).digest()
|
|
I_left_as_exponent = string_to_number(I64[:32])
|
|
|
|
# BIP32 magic converts old public key to new public point
|
|
x, y = sec_to_public_pair(node.public_key)
|
|
point = I_left_as_exponent * SECP256k1.generator + Point(
|
|
SECP256k1.curve, x, y, SECP256k1.order
|
|
)
|
|
|
|
if point == INFINITY:
|
|
raise ValueError("Point cannot be INFINITY")
|
|
|
|
return messages.HDNodeType(
|
|
depth=node.depth + 1,
|
|
child_num=i,
|
|
chain_code=I64[32:],
|
|
fingerprint=fingerprint(node.public_key),
|
|
# Convert public point to compressed public key
|
|
public_key=point_to_pubkey(point),
|
|
)
|
|
|
|
|
|
def serialize(node: messages.HDNodeType, version: int = 0x0488B21E) -> str:
|
|
s = b""
|
|
s += struct.pack(">I", version)
|
|
s += struct.pack(">B", node.depth)
|
|
s += struct.pack(">I", node.fingerprint)
|
|
s += struct.pack(">I", node.child_num)
|
|
s += node.chain_code
|
|
if node.private_key:
|
|
s += b"\x00" + node.private_key
|
|
else:
|
|
s += node.public_key
|
|
s += tools.btc_hash(s)[:4]
|
|
return tools.b58encode(s)
|
|
|
|
|
|
def deserialize(xpub: str) -> messages.HDNodeType:
|
|
data = tools.b58decode(xpub, None)
|
|
|
|
if tools.btc_hash(data[:-4])[:4] != data[-4:]:
|
|
raise ValueError("Checksum failed")
|
|
|
|
node = messages.HDNodeType(
|
|
depth=struct.unpack(">B", data[4:5])[0],
|
|
fingerprint=struct.unpack(">I", data[5:9])[0],
|
|
child_num=struct.unpack(">I", data[9:13])[0],
|
|
chain_code=data[13:45],
|
|
public_key=None,
|
|
)
|
|
|
|
key = data[45:-4]
|
|
if key[0] == 0:
|
|
node.private_key = key[1:]
|
|
else:
|
|
node.public_key = key
|
|
|
|
return node
|