X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=cipherbreak.py;h=c239400d7f0fb917dd319db3fbf0e704204399ee;hb=a28096fcfca066aea1cddc4ff29c2f09f0528852;hp=17df97af0d7ee6769a8789ec1eee74a92a369ef8;hpb=96d46a680a808555a9ff77f2eaa68383569f07ee;p=cipher-training.git diff --git a/cipherbreak.py b/cipherbreak.py index 17df97a..c239400 100644 --- a/cipherbreak.py +++ b/cipherbreak.py @@ -1,14 +1,24 @@ +"""A set of functions to break the ciphers give in ciphers.py. +""" + import string import collections import norms import logging -from itertools import zip_longest, cycle, permutations +import random +import math +from itertools import starmap from segment import segment from multiprocessing import Pool -from math import log10 import matplotlib.pyplot as plt +logger = logging.getLogger(__name__) +logger.addHandler(logging.FileHandler('cipher.log')) +logger.setLevel(logging.WARNING) +#logger.setLevel(logging.INFO) +#logger.setLevel(logging.DEBUG) + from cipher import * from language_models import * @@ -19,33 +29,30 @@ from language_models import * # timeit.timeit('keyword_break(c5a)', setup='gc.enable() ; from __main__ import c5a ; from cipher import keyword_break', number=1) # timeit.repeat('keyword_break_mp(c5a, chunksize=500)', setup='gc.enable() ; from __main__ import c5a ; from cipher import keyword_break_mp', repeat=5, number=1) -transpositions = collections.defaultdict(list) -for word in keywords: - transpositions[transpositions_of(word)] += [word] def frequencies(text): """Count the number of occurrences of each character in text - + >>> sorted(frequencies('abcdefabc').items()) [('a', 2), ('b', 2), ('c', 2), ('d', 1), ('e', 1), ('f', 1)] >>> sorted(frequencies('the quick brown fox jumped over the lazy ' \ 'dog').items()) # doctest: +NORMALIZE_WHITESPACE - [(' ', 8), ('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), - ('g', 1), ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), - ('n', 1), ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), + [(' ', 8), ('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), + ('g', 1), ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), + ('n', 1), ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), ('v', 1), ('w', 1), ('x', 1), ('y', 1), ('z', 1)] >>> sorted(frequencies('The Quick BROWN fox jumped! over... the ' \ '(9lazy) DOG').items()) # doctest: +NORMALIZE_WHITESPACE - [(' ', 8), ('!', 1), ('(', 1), (')', 1), ('.', 3), ('9', 1), ('B', 1), - ('D', 1), ('G', 1), ('N', 1), ('O', 2), ('Q', 1), ('R', 1), ('T', 1), - ('W', 1), ('a', 1), ('c', 1), ('d', 1), ('e', 4), ('f', 1), ('h', 2), - ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('o', 2), ('p', 1), + [(' ', 8), ('!', 1), ('(', 1), (')', 1), ('.', 3), ('9', 1), ('B', 1), + ('D', 1), ('G', 1), ('N', 1), ('O', 2), ('Q', 1), ('R', 1), ('T', 1), + ('W', 1), ('a', 1), ('c', 1), ('d', 1), ('e', 4), ('f', 1), ('h', 2), + ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('o', 2), ('p', 1), ('r', 1), ('t', 1), ('u', 2), ('v', 1), ('x', 1), ('y', 1), ('z', 1)] - >>> sorted(frequencies(sanitise('The Quick BROWN fox jumped! over... ' \ + >>> sorted(frequencies(sanitise('The Quick BROWN fox jumped! over... '\ 'the (9lazy) DOG')).items()) # doctest: +NORMALIZE_WHITESPACE - [('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), ('g', 1), - ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('n', 1), - ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), ('v', 1), + [('a', 1), ('b', 1), ('c', 1), ('d', 2), ('e', 4), ('f', 1), ('g', 1), + ('h', 2), ('i', 1), ('j', 1), ('k', 1), ('l', 1), ('m', 1), ('n', 1), + ('o', 4), ('p', 1), ('q', 1), ('r', 2), ('t', 2), ('u', 2), ('v', 1), ('w', 1), ('x', 1), ('y', 1), ('z', 1)] >>> frequencies('abcdefabcdef')['x'] 0 @@ -55,7 +62,7 @@ def frequencies(text): def caesar_break(message, fitness=Pletters): """Breaks a Caesar cipher using frequency analysis - + >>> caesar_break('ibxcsyorsaqcheyklxivoexlevmrimwxsfiqevvmihrsasrxliwyrh' \ 'ecjsppsamrkwleppfmergefifvmhixscsymjcsyqeoixlm') # doctest: +ELLIPSIS (4, -130.849989015...) @@ -73,7 +80,8 @@ def caesar_break(message, fitness=Pletters): plaintext = caesar_decipher(sanitised_message, shift) fit = fitness(plaintext) logger.debug('Caesar break attempt using key {0} gives fit of {1} ' - 'and decrypt starting: {2}'.format(shift, fit, plaintext[:50])) + 'and decrypt starting: {2}'.format(shift, fit, + plaintext[:50])) if fit > best_fit: best_fit = fit best_shift = shift @@ -84,7 +92,7 @@ def caesar_break(message, fitness=Pletters): def affine_break(message, fitness=Pletters): """Breaks an affine cipher using frequency analysis - + >>> affine_break('lmyfu bkuusd dyfaxw claol psfaom jfasd snsfg jfaoe ls ' \ 'omytd jlaxe mh jm bfmibj umis hfsul axubafkjamx. ls kffkxwsd jls ' \ 'ofgbjmwfkiu olfmxmtmwaokttg jlsx ls kffkxwsd jlsi zg tsxwjl. jlsx ' \ @@ -101,299 +109,25 @@ def affine_break(message, fitness=Pletters): for one_based in [True, False]: for multiplier in [x for x in range(1, 26, 2) if x != 13]: for adder in range(26): - plaintext = affine_decipher(sanitised_message, + plaintext = affine_decipher(sanitised_message, multiplier, adder, one_based) fit = fitness(plaintext) logger.debug('Affine break attempt using key {0}x+{1} ({2}) ' 'gives fit of {3} and decrypt starting: {4}'. - format(multiplier, adder, one_based, fit, + format(multiplier, adder, one_based, fit, plaintext[:50])) if fit > best_fit: best_fit = fit best_multiplier = multiplier best_adder = adder best_one_based = one_based - logger.info('Affine break best fit with key {0}x+{1} ({2}) gives fit of {3} ' - 'and decrypt starting: {4}'.format( - best_multiplier, best_adder, best_one_based, best_fit, - affine_decipher(sanitised_message, best_multiplier, - best_adder, best_one_based)[:50])) + logger.info('Affine break best fit with key {0}x+{1} ({2}) gives fit of ' + '{3} and decrypt starting: {4}'.format( + best_multiplier, best_adder, best_one_based, best_fit, + affine_decipher(sanitised_message, best_multiplier, + best_adder, best_one_based)[:50])) return (best_multiplier, best_adder, best_one_based), best_fit -def keyword_break(message, wordlist=keywords, fitness=Pletters): - """Breaks a keyword substitution cipher using a dictionary and - frequency analysis - - >>> keyword_break(keyword_encipher('this is a test message for the ' \ - 'keyword decipherment', 'elephant', 1), \ - wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS - (('elephant', 1), -52.834575011...) - """ - best_keyword = '' - best_wrap_alphabet = True - best_fit = float("-inf") - for wrap_alphabet in range(3): - for keyword in wordlist: - plaintext = keyword_decipher(message, keyword, wrap_alphabet) - fit = fitness(plaintext) - logger.debug('Keyword break attempt using key {0} (wrap={1}) ' - 'gives fit of {2} and decrypt starting: {3}'.format( - keyword, wrap_alphabet, fit, - sanitise(plaintext)[:50])) - if fit > best_fit: - best_fit = fit - best_keyword = keyword - best_wrap_alphabet = wrap_alphabet - logger.info('Keyword break best fit with key {0} (wrap={1}) gives fit of ' - '{2} and decrypt starting: {3}'.format(best_keyword, - best_wrap_alphabet, best_fit, sanitise( - keyword_decipher(message, best_keyword, - best_wrap_alphabet))[:50])) - return (best_keyword, best_wrap_alphabet), best_fit - -def keyword_break_mp(message, wordlist=keywords, fitness=Pletters, chunksize=500): - """Breaks a keyword substitution cipher using a dictionary and - frequency analysis - - >>> keyword_break_mp(keyword_encipher('this is a test message for the ' \ - 'keyword decipherment', 'elephant', 1), \ - wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS - (('elephant', 1), -52.834575011...) - """ - with Pool() as pool: - helper_args = [(message, word, wrap, fitness) - for word in wordlist for wrap in range(3)] - # Gotcha: the helper function here needs to be defined at the top level - # (limitation of Pool.starmap) - breaks = pool.starmap(keyword_break_worker, helper_args, chunksize) - return max(breaks, key=lambda k: k[1]) - -def keyword_break_worker(message, keyword, wrap_alphabet, fitness): - plaintext = keyword_decipher(message, keyword, wrap_alphabet) - fit = fitness(plaintext) - logger.debug('Keyword break attempt using key {0} (wrap={1}) gives fit of ' - '{2} and decrypt starting: {3}'.format(keyword, - wrap_alphabet, fit, sanitise(plaintext)[:50])) - return (keyword, wrap_alphabet), fit - -def scytale_break(message, fitness=Pbigrams): - """Breaks a Scytale cipher - - >>> scytale_break('tfeulchtrtteehwahsdehneoifeayfsondmwpltmaoalhikotoere' \ - 'dcweatehiplwxsnhooacgorrcrcraotohsgullasenylrendaianeplscdriioto' \ - 'aek') # doctest: +ELLIPSIS - (6, -281.276219108...) - """ - best_key = 0 - best_fit = float("-inf") - for key in range(1, 20): - if len(message) % key == 0: - plaintext = scytale_decipher(message, key) - fit = fitness(sanitise(plaintext)) - logger.debug('Scytale break attempt using key {0} gives fit of ' - '{1} and decrypt starting: {2}'.format(key, - fit, sanitise(plaintext)[:50])) - if fit > best_fit: - best_fit = fit - best_key = key - logger.info('Scytale break best fit with key {0} gives fit of {1} and ' - 'decrypt starting: {2}'.format(best_key, best_fit, - sanitise(scytale_decipher(message, best_key))[:50])) - return best_key, best_fit - - -def column_transposition_break_mp(message, translist=transpositions, - fitness=Pbigrams, chunksize=500): - """Breaks a column transposition cipher using a dictionary and - n-gram frequency analysis - """ - # >>> column_transposition_break_mp(column_transposition_encipher(sanitise( \ - # "It is a truth universally acknowledged, that a single man in \ - # possession of a good fortune, must be in want of a wife. However \ - # little known the feelings or views of such a man may be on his \ - # first entering a neighbourhood, this truth is so well fixed in the \ - # minds of the surrounding families, that he is considered the \ - # rightful property of some one or other of their daughters."), \ - # 'encipher'), \ - # translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \ - # (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \ - # (6, 1, 0, 4, 5, 3, 2): ['keyword']}) # doctest: +ELLIPSIS - # (((2, 0, 5, 3, 1, 4, 6), False), 0.0628106372...) - # >>> column_transposition_break_mp(column_transposition_encipher(sanitise( \ - # "It is a truth universally acknowledged, that a single man in \ - # possession of a good fortune, must be in want of a wife. However \ - # little known the feelings or views of such a man may be on his \ - # first entering a neighbourhood, this truth is so well fixed in the \ - # minds of the surrounding families, that he is considered the \ - # rightful property of some one or other of their daughters."), \ - # 'encipher'), \ - # translist={(2, 0, 5, 3, 1, 4, 6): ['encipher'], \ - # (5, 0, 6, 1, 3, 4, 2): ['fourteen'], \ - # (6, 1, 0, 4, 5, 3, 2): ['keyword']}, \ - # target_counts=normalised_english_trigram_counts) # doctest: +ELLIPSIS - # (((2, 0, 5, 3, 1, 4, 6), False), 0.0592259560...) - # """ - with Pool() as pool: - helper_args = [(message, trans, columnwise, fitness) - for trans in translist.keys() - for columnwise in [True, False]] - # Gotcha: the helper function here needs to be defined at the top level - # (limitation of Pool.starmap) - breaks = pool.starmap(column_transposition_break_worker, - helper_args, chunksize) - return max(breaks, key=lambda k: k[1]) -column_transposition_break = column_transposition_break_mp - -def column_transposition_break_worker(message, transposition, columnwise, - fitness): - plaintext = column_transposition_decipher(message, transposition, columnwise=columnwise) - fit = fitness(sanitise(plaintext)) - logger.debug('Column transposition break attempt using key {0} ' - 'gives fit of {1} and decrypt starting: {2}'.format( - transposition, fit, - sanitise(plaintext)[:50])) - return (transposition, columnwise), fit - - -def transposition_break_exhaustive(message, fitness=Pbigrams): - best_transposition = '' - best_pw = float('-inf') - for keylength in range(1, 21): - if len(message) % keylength == 0: - for transposition in permutations(range(keylength)): - for columnwise in [True, False]: - plaintext = column_transposition_decipher(message, - transposition, columnwise=columnwise) - fit=fitness(plaintext) - logger.debug('Column transposition break attempt using key {0} {1} ' - 'gives fit of {2} and decrypt starting: {3}'.format( - transposition, columnwise, pw, - sanitise(plaintext)[:50])) - if fit > best_fit: - best_transposition = transposition - best_columnwise = columnwise - best_fit = fit - return (best_transposition, best_columnwise), best_pw - - -def vigenere_keyword_break(message, wordlist=keywords, fitness=Pletters): - """Breaks a vigenere cipher using a dictionary and - frequency analysis - - >>> vigenere_keyword_break(vigenere_encipher(sanitise('this is a test ' \ - 'message for the vigenere decipherment'), 'cat'), \ - wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS - ('cat', -52.947271216...) - """ - best_keyword = '' - best_fit = float("-inf") - for keyword in wordlist: - plaintext = vigenere_decipher(message, keyword) - fit = fitness(plaintext) - logger.debug('Vigenere break attempt using key {0} ' - 'gives fit of {1} and decrypt starting: {2}'.format( - keyword, fit, - sanitise(plaintext)[:50])) - if fit > best_fit: - best_fit = fit - best_keyword = keyword - logger.info('Vigenere break best fit with key {0} gives fit ' - 'of {1} and decrypt starting: {2}'.format(best_keyword, - best_fit, sanitise( - vigenere_decipher(message, best_keyword))[:50])) - return best_keyword, best_fit - -def vigenere_keyword_break_mp(message, wordlist=keywords, fitness=Pletters, - chunksize=500): - """Breaks a vigenere cipher using a dictionary and - frequency analysis - - >>> vigenere_keyword_break_mp(vigenere_encipher(sanitise('this is a test ' \ - 'message for the vigenere decipherment'), 'cat'), \ - wordlist=['cat', 'elephant', 'kangaroo']) # doctest: +ELLIPSIS - ('cat', -52.947271216...) - """ - with Pool() as pool: - helper_args = [(message, word, fitness) - for word in wordlist] - # Gotcha: the helper function here needs to be defined at the top level - # (limitation of Pool.starmap) - breaks = pool.starmap(vigenere_keyword_break_worker, helper_args, chunksize) - return max(breaks, key=lambda k: k[1]) - -def vigenere_keyword_break_worker(message, keyword, fitness): - plaintext = vigenere_decipher(message, keyword) - fit = fitness(plaintext) - logger.debug('Vigenere keyword break attempt using key {0} gives fit of ' - '{1} and decrypt starting: {2}'.format(keyword, - fit, sanitise(plaintext)[:50])) - return keyword, fit - - - -def vigenere_frequency_break(message, fitness=Pletters): - """Breaks a Vigenere cipher with frequency analysis - - >>> vigenere_frequency_break(vigenere_encipher(sanitise("It is time to " \ - "run. She is ready and so am I. I stole Daniel's pocketbook this " \ - "afternoon when he left his jacket hanging on the easel in the " \ - "attic. I jump every time I hear a footstep on the stairs, " \ - "certain that the theft has been discovered and that I will " \ - "be caught. The SS officer visits less often now that he is " \ - "sure"), 'florence')) # doctest: +ELLIPSIS - ('florence', -307.5473096791...) - """ - best_fit = float("-inf") - best_key = '' - sanitised_message = sanitise(message) - for trial_length in range(1, 20): - splits = every_nth(sanitised_message, trial_length) - key = ''.join([chr(caesar_break(s)[0] + ord('a')) for s in splits]) - plaintext = vigenere_decipher(sanitised_message, key) - fit = fitness(plaintext) - logger.debug('Vigenere key length of {0} ({1}) gives fit of {2}'. - format(trial_length, key, fit)) - if fit > best_fit: - best_fit = fit - best_key = key - logger.info('Vigenere break best fit with key {0} gives fit ' - 'of {1} and decrypt starting: {2}'.format(best_key, - best_fit, sanitise( - vigenere_decipher(message, best_key))[:50])) - return best_key, best_fit - -def beaufort_frequency_break(message, fitness=Pletters): - """Breaks a Beaufort cipher with frequency analysis - - >>> beaufort_frequency_break(beaufort_encipher(sanitise("It is time to " \ - "run. She is ready and so am I. I stole Daniel's pocketbook this " \ - "afternoon when he left his jacket hanging on the easel in the " \ - "attic. I jump every time I hear a footstep on the stairs, " \ - "certain that the theft has been discovered and that I will " \ - "be caught. The SS officer visits less often now " \ - "that he is sure"), 'florence')) # doctest: +ELLIPSIS - ('florence', -307.5473096791...) - """ - best_fit = float("-inf") - best_key = '' - sanitised_message = sanitise(message) - for trial_length in range(1, 20): - splits = every_nth(sanitised_message, trial_length) - key = ''.join([chr(-caesar_break(s)[0] % 26 + ord('a')) for s in splits]) - plaintext = beaufort_decipher(sanitised_message, key) - fit = fitness(plaintext) - logger.debug('Beaufort key length of {0} ({1}) gives fit of {2}'. - format(trial_length, key, fit)) - if fit > best_fit: - best_fit = fit - best_key = key - logger.info('Beaufort break best fit with key {0} gives fit ' - 'of {1} and decrypt starting: {2}'.format(best_key, - best_fit, sanitise( - beaufort_decipher(message, best_key))[:50])) - return best_key, best_fit - - def plot_frequency_histogram(freqs, sort_key=None): x = range(len(freqs.keys())) @@ -409,4 +143,3 @@ def plot_frequency_histogram(freqs, sort_key=None): if __name__ == "__main__": import doctest doctest.testmod() -