# Copyright 2019 the gRPC authors. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. """A search algorithm over the space of all bytestrings.""" from __future__ import absolute_import from __future__ import division from __future__ import print_function import base64 import hashlib import itertools import logging import struct from examples.python.cancellation import hash_name_pb2 _LOGGER = logging.getLogger(__name__) _BYTE_MAX = 255 def _get_hamming_distance(a, b): """Calculates hamming distance between strings of equal length.""" distance = 0 for char_a, char_b in zip(a, b): if char_a != char_b: distance += 1 return distance def _get_substring_hamming_distance(candidate, target): """Calculates the minimum hamming distance between between the target and any substring of the candidate. Args: candidate: The string whose substrings will be tested. target: The target string. Returns: The minimum Hamming distance between candidate and target. """ min_distance = None if len(target) > len(candidate): raise ValueError("Candidate must be at least as long as target.") for i in range(len(candidate) - len(target) + 1): distance = _get_hamming_distance(candidate[i:i + len(target)].lower(), target.lower()) if min_distance is None or distance < min_distance: min_distance = distance return min_distance def _get_hash(secret): hasher = hashlib.sha1() hasher.update(secret) return base64.b64encode(hasher.digest()).decode('ascii') class ResourceLimitExceededError(Exception): """Signifies the request has exceeded configured limits.""" def _bytestrings_of_length(length): """Generates a stream containing all bytestrings of a given length. Args: length: A positive integer length. Yields: All bytestrings of length `length`. """ for digits in itertools.product(range(_BYTE_MAX), repeat=length): yield b''.join(struct.pack('B', i) for i in digits) def _all_bytestrings(): """Generates a stream containing all possible bytestrings. This generator does not terminate. Yields: All bytestrings in ascending order of length. """ for bytestring in itertools.chain.from_iterable( _bytestrings_of_length(length) for length in itertools.count()): yield bytestring def search(target, ideal_distance, stop_event, maximum_hashes, interesting_hamming_distance=None): """Find candidate strings. Search through the space of all bytestrings, in order of increasing length, indefinitely, until a hash with a Hamming distance of `maximum_distance` or less has been found. Args: target: The search string. ideal_distance: The desired Hamming distance. stop_event: An event indicating whether the RPC should terminate. maximum_hashes: The maximum number of hashes to check before stopping. interesting_hamming_distance: If specified, strings with a Hamming distance from the target below this value will be yielded. Yields: Instances of HashNameResponse. The final entry in the stream will be of `maximum_distance` Hamming distance or less from the target string, while all others will be of less than `interesting_hamming_distance`. Raises: ResourceLimitExceededError: If the computation exceeds `maximum_hashes` iterations. """ hashes_computed = 0 for secret in _all_bytestrings(): if stop_event.is_set(): return candidate_hash = _get_hash(secret) distance = _get_substring_hamming_distance(candidate_hash, target) if interesting_hamming_distance is not None and distance <= interesting_hamming_distance: # Surface interesting candidates, but don't stop. yield hash_name_pb2.HashNameResponse( secret=base64.b64encode(secret), hashed_name=candidate_hash, hamming_distance=distance) elif distance <= ideal_distance: # Yield ideal candidate and end the stream. yield hash_name_pb2.HashNameResponse( secret=base64.b64encode(secret), hashed_name=candidate_hash, hamming_distance=distance) return hashes_computed += 1 if hashes_computed == maximum_hashes: raise ResourceLimitExceededError()