--- /dev/null
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 797,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import string\n",
+ "import collections\n",
+ "import multiprocessing\n",
+ "import itertools\n",
+ "from enigma import *"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 798,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "# wheel_i_spec = 'ekmflgdqvzntowyhxuspaibrcj'\n",
+ "# wheel_ii_spec = 'ajdksiruxblhwtmcqgznpyfvoe'\n",
+ "# wheel_iii_spec = 'bdfhjlcprtxvznyeiwgakmusqo'\n",
+ "# wheel_iv_spec = 'esovpzjayquirhxlnftgkdcmwb'\n",
+ "# wheel_v_spec = 'vzbrgityupsdnhlxawmjqofeck'\n",
+ "# wheel_vi_spec = 'jpgvoumfyqbenhzrdkasxlictw'\n",
+ "# wheel_vii_spec = 'nzjhgrcxmyswboufaivlpekqdt'\n",
+ "# wheel_viii_spec = 'fkqhtlxocbjspdzramewniuygv'\n",
+ "# beta_wheel_spec = 'leyjvcnixwpbqmdrtakzgfuhos'\n",
+ "# gamma_wheel_spec = 'fsokanuerhmbtiycwlqpzxvgjd'\n",
+ "\n",
+ "# wheel_i_pegs = ['q']\n",
+ "# wheel_ii_pegs = ['e']\n",
+ "# wheel_iii_pegs = ['v']\n",
+ "# wheel_iv_pegs = ['j']\n",
+ "# wheel_v_pegs = ['z']\n",
+ "# wheel_vi_pegs = ['z', 'm']\n",
+ "# wheel_vii_pegs = ['z', 'm']\n",
+ "# wheel_viii_pegs = ['z', 'm']\n",
+ "\n",
+ "# reflector_b_spec = 'ay br cu dh eq fs gl ip jx kn mo tz vw'\n",
+ "# reflector_c_spec = 'af bv cp dj ei go hy kr lz mx nw tq su'"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 799,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "class Bank(object):\n",
+ " def __init__(self):\n",
+ " self.signals = dict(zip(string.ascii_lowercase, [False]*len(string.ascii_lowercase)))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 800,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{'a': False,\n",
+ " 'b': False,\n",
+ " 'c': False,\n",
+ " 'd': False,\n",
+ " 'e': False,\n",
+ " 'f': False,\n",
+ " 'g': False,\n",
+ " 'h': False,\n",
+ " 'i': False,\n",
+ " 'j': False,\n",
+ " 'k': False,\n",
+ " 'l': False,\n",
+ " 'm': False,\n",
+ " 'n': False,\n",
+ " 'o': False,\n",
+ " 'p': False,\n",
+ " 'q': False,\n",
+ " 'r': False,\n",
+ " 's': False,\n",
+ " 't': False,\n",
+ " 'u': False,\n",
+ " 'v': False,\n",
+ " 'w': False,\n",
+ " 'x': False,\n",
+ " 'y': False,\n",
+ " 'z': False}"
+ ]
+ },
+ "execution_count": 800,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "c1 = Bank()\n",
+ "c1.signals"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 801,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "Signal = collections.namedtuple('Signal', ['bank', 'wire'])\n",
+ "Connection = collections.namedtuple('Connection', ['banks', 'scrambler'])\n",
+ "MenuItem = collections.namedtuple('MenuIem', ['before', 'after', 'number'])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 802,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "class Scrambler(object):\n",
+ " def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,\n",
+ " wheel1_pos='a', wheel2_pos='a', wheel3_pos='a'):\n",
+ " self.wheel1 = SimpleWheel(wheel1_spec, position=wheel1_pos)\n",
+ " self.wheel2 = SimpleWheel(wheel2_spec, position=wheel2_pos)\n",
+ " self.wheel3 = SimpleWheel(wheel3_spec, position=wheel3_pos)\n",
+ " self.reflector = Reflector(reflector_spec)\n",
+ " \n",
+ " def __getattribute__(self, name):\n",
+ " if name=='wheel_positions':\n",
+ " return self.wheel1.position, self.wheel2.position, self.wheel3.position \n",
+ " elif name=='wheel_positions_l':\n",
+ " return self.wheel1.position_l, self.wheel2.position_l, self.wheel3.position_l \n",
+ " else:\n",
+ " return object.__getattribute__(self, name)\n",
+ " \n",
+ " def advance(self, wheel1=False, wheel2=False, wheel3=True):\n",
+ " if wheel1: self.wheel1.advance()\n",
+ " if wheel2: self.wheel2.advance()\n",
+ " if wheel3: self.wheel3.advance()\n",
+ " \n",
+ " def lookup(self, letter):\n",
+ " a = self.wheel3.forward(letter)\n",
+ " b = self.wheel2.forward(a)\n",
+ " c = self.wheel1.forward(b)\n",
+ " d = self.reflector.forward(c)\n",
+ " e = self.wheel1.backward(d)\n",
+ " f = self.wheel2.backward(e)\n",
+ " g = self.wheel3.backward(f)\n",
+ " return g\n",
+ " \n",
+ " def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):\n",
+ " self.wheel1.set_position(wheel1_pos)\n",
+ " self.wheel2.set_position(wheel2_pos)\n",
+ " self.wheel3.set_position(wheel3_pos) "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 803,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "class Bombe(object):\n",
+ " def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,\n",
+ " menu=None, start_signal=None, use_diagonal_board=True, verify_plugboard=True):\n",
+ " self.connections = []\n",
+ " self.wheel1_spec = wheel1_spec\n",
+ " self.wheel2_spec = wheel2_spec\n",
+ " self.wheel3_spec = wheel3_spec\n",
+ " self.reflector_spec = reflector_spec\n",
+ " if menu:\n",
+ " self.read_menu(menu)\n",
+ " if start_signal:\n",
+ " self.test_start = start_signal\n",
+ " self.use_diagonal_board = use_diagonal_board\n",
+ " self.verify_plugboard = verify_plugboard\n",
+ " \n",
+ " def __getattribute__(self, name):\n",
+ " if name=='wheel_positions':\n",
+ " return self.connections[0].scrambler.wheel_positions\n",
+ " elif name=='wheel_positions_l':\n",
+ " return self.connections[0].scrambler.wheel_positions_l\n",
+ " else:\n",
+ " return object.__getattribute__(self, name)\n",
+ " \n",
+ " def __call__(self, start_positions):\n",
+ " return start_positions, self.test(start_positions=start_positions, \n",
+ " use_diagonal_board=self.use_diagonal_board,\n",
+ " verify_plugboard=self.verify_plugboard)\n",
+ " \n",
+ " def add_connection(self, bank_before, bank_after, scrambler):\n",
+ " self.connections += [Connection([bank_before, bank_after], scrambler)]\n",
+ " \n",
+ " def read_menu(self, menu):\n",
+ " for item in menu:\n",
+ " scrambler = Scrambler(self.wheel1_spec, self.wheel2_spec, self.wheel3_spec,\n",
+ " self.reflector_spec,\n",
+ " wheel3_pos=unpos(item.number - 1))\n",
+ " self.add_connection(item.before, item.after, scrambler)\n",
+ " most_common_letter = (collections.Counter(m.before for m in menu) + \\\n",
+ " collections.Counter(m.after for m in menu)).most_common(1)[0][0]\n",
+ " self.test_start = Signal(most_common_letter, most_common_letter)\n",
+ " \n",
+ " def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):\n",
+ " for i, c in enumerate(self.connections):\n",
+ " c.scrambler.set_positions(wheel1_pos, wheel2_pos, unpos(pos(wheel3_pos) + i))\n",
+ " \n",
+ " def test(self, initial_signal=None, start_positions=None, use_diagonal_board=True,\n",
+ " verify_plugboard=True):\n",
+ " self.banks = {label: \n",
+ " dict(zip(string.ascii_lowercase, [False]*len(string.ascii_lowercase)))\n",
+ " for label in string.ascii_lowercase}\n",
+ " if start_positions:\n",
+ " self.set_positions(*start_positions)\n",
+ " if not initial_signal:\n",
+ " initial_signal = self.test_start\n",
+ " self.pending = [initial_signal]\n",
+ " self.propagate(use_diagonal_board)\n",
+ " live_wire_count = len([self.banks[self.test_start.bank][w] \n",
+ " for w in self.banks[self.test_start.bank] \n",
+ " if self.banks[self.test_start.bank][w]])\n",
+ " if live_wire_count < 26:\n",
+ " if verify_plugboard:\n",
+ " possibles = self.possible_plugboards()\n",
+ " return all(s0.isdisjoint(s1) for s0 in possibles for s1 in possibles if s0 != s1)\n",
+ " else:\n",
+ " return True\n",
+ " else:\n",
+ " return False\n",
+ " \n",
+ " def propagate(self, use_diagonal_board):\n",
+ " while self.pending:\n",
+ " current = self.pending[0]\n",
+ " # print(\"processing\", current)\n",
+ " self.pending = self.pending[1:]\n",
+ " if not self.banks[current.bank][current.wire]:\n",
+ " self.banks[current.bank][current.wire] = True\n",
+ " if use_diagonal_board:\n",
+ " self.pending += [Signal(current.wire, current.bank)]\n",
+ " for c in self.connections:\n",
+ " if current.bank in c.banks:\n",
+ " other_bank = [b for b in c.banks if b != current.bank][0]\n",
+ " other_wire = c.scrambler.lookup(current.wire)\n",
+ " # print(\" adding\", other_bank, other_wire, \"because\", c.banks)\n",
+ " self.pending += [Signal(other_bank, other_wire)]\n",
+ " \n",
+ " def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a', use_diagonal_board=True):\n",
+ " if not run_start:\n",
+ " run_start = self.test_start\n",
+ " self.solutions = []\n",
+ " self.set_positions(wheel1_pos, wheel2_pos, wheel3_pos)\n",
+ " for run_index in range(26*26*26):\n",
+ " if self.test(initial_signal=run_start, use_diagonal_board=use_diagonal_board):\n",
+ " self.solutions += [self.connections[0].scrambler.wheel_positions_l]\n",
+ " advance3 = True\n",
+ " advance2 = False\n",
+ " advance1 = False\n",
+ " if (run_index + 1) % 26 == 0: advance2 = True\n",
+ " if (run_index + 1) % (26*26) == 0: advance1 = True\n",
+ " for c in self.connections:\n",
+ " c.scrambler.advance(advance1, advance2, advance3)\n",
+ " return self.solutions\n",
+ " \n",
+ " def possible_plugboards(self):\n",
+ " possibles = set()\n",
+ " for b in self.banks:\n",
+ " active = [w for w in self.banks[b] if self.banks[b][w]]\n",
+ " inactive = [w for w in self.banks[b] if not self.banks[b][w]]\n",
+ " if len(active) == 1:\n",
+ " possibles = possibles.union({frozenset((b, active[0]))})\n",
+ " if len(inactive) == 1:\n",
+ " possibles = possibles.union({frozenset((b, inactive[0]))})\n",
+ " return possibles"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 804,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "bombe = Bombe(wheel_i_spec, wheel_ii_spec, wheel_iii_spec, reflector_b_spec)\n",
+ "# len(bombe.banks), bombe.banks['a'] == bombe.banks['b']"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 805,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "test_enigma = Enigma(reflector_b_spec, \n",
+ " wheel_i_spec, wheel_i_pegs,\n",
+ " wheel_ii_spec, wheel_ii_pegs,\n",
+ " wheel_iii_spec, wheel_iii_pegs,\n",
+ " 1, 1, 1,\n",
+ " '')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 806,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'opgndxcrwomnlnecjz'"
+ ]
+ },
+ "execution_count": 806,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "test_enigma.set_wheels('a', 'a', 'a')\n",
+ "pt = 'thisisatestmessage'\n",
+ "ct = test_enigma.encipher(pt)\n",
+ "ct"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 807,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'aas'"
+ ]
+ },
+ "execution_count": 807,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "cat(test_enigma.wheel_positions_l)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 808,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[MenuIem(before='t', after='o', number=1),\n",
+ " MenuIem(before='h', after='p', number=2),\n",
+ " MenuIem(before='i', after='g', number=3),\n",
+ " MenuIem(before='s', after='n', number=4),\n",
+ " MenuIem(before='i', after='d', number=5),\n",
+ " MenuIem(before='s', after='x', number=6),\n",
+ " MenuIem(before='a', after='c', number=7),\n",
+ " MenuIem(before='t', after='r', number=8),\n",
+ " MenuIem(before='e', after='w', number=9),\n",
+ " MenuIem(before='s', after='o', number=10),\n",
+ " MenuIem(before='t', after='m', number=11),\n",
+ " MenuIem(before='m', after='n', number=12),\n",
+ " MenuIem(before='e', after='l', number=13),\n",
+ " MenuIem(before='s', after='n', number=14),\n",
+ " MenuIem(before='s', after='e', number=15),\n",
+ " MenuIem(before='a', after='c', number=16),\n",
+ " MenuIem(before='g', after='j', number=17),\n",
+ " MenuIem(before='e', after='z', number=18)]"
+ ]
+ },
+ "execution_count": 808,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "menu = [MenuItem(p, c, i+1) for i, (p, c) in enumerate(zip(pt, ct))]\n",
+ "menu"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 809,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def make_menu(plaintext, ciphertext):\n",
+ " return [MenuItem(p, c, i+1) \n",
+ " for i, (p, c) in enumerate(zip(plaintext, ciphertext))]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 810,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[MenuIem(before='t', after='o', number=1),\n",
+ " MenuIem(before='h', after='p', number=2),\n",
+ " MenuIem(before='i', after='g', number=3),\n",
+ " MenuIem(before='s', after='n', number=4),\n",
+ " MenuIem(before='i', after='d', number=5),\n",
+ " MenuIem(before='s', after='x', number=6),\n",
+ " MenuIem(before='a', after='c', number=7),\n",
+ " MenuIem(before='t', after='r', number=8),\n",
+ " MenuIem(before='e', after='w', number=9),\n",
+ " MenuIem(before='s', after='o', number=10),\n",
+ " MenuIem(before='t', after='m', number=11),\n",
+ " MenuIem(before='m', after='n', number=12),\n",
+ " MenuIem(before='e', after='l', number=13),\n",
+ " MenuIem(before='s', after='n', number=14),\n",
+ " MenuIem(before='s', after='e', number=15),\n",
+ " MenuIem(before='a', after='c', number=16),\n",
+ " MenuIem(before='g', after='j', number=17),\n",
+ " MenuIem(before='e', after='z', number=18)]"
+ ]
+ },
+ "execution_count": 810,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "make_menu(pt, ct)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 811,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'s'"
+ ]
+ },
+ "execution_count": 811,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "(collections.Counter(m.before for m in menu) + collections.Counter(m.after for m in menu)).most_common(1)[0][0]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 812,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "bombe.read_menu(menu)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 813,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "18"
+ ]
+ },
+ "execution_count": 813,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "len(bombe.connections)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 814,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "['t', 'o'] aaa\n",
+ "['h', 'p'] aab\n",
+ "['i', 'g'] aac\n",
+ "['s', 'n'] aad\n",
+ "['i', 'd'] aae\n",
+ "['s', 'x'] aaf\n",
+ "['a', 'c'] aag\n",
+ "['t', 'r'] aah\n",
+ "['e', 'w'] aai\n",
+ "['s', 'o'] aaj\n",
+ "['t', 'm'] aak\n",
+ "['m', 'n'] aal\n",
+ "['e', 'l'] aam\n",
+ "['s', 'n'] aan\n",
+ "['s', 'e'] aao\n",
+ "['a', 'c'] aap\n",
+ "['g', 'j'] aaq\n",
+ "['e', 'z'] aar\n"
+ ]
+ }
+ ],
+ "source": [
+ "for c in bombe.connections:\n",
+ " print(c.banks, cat(c.scrambler.wheel_positions_l))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 815,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "False"
+ ]
+ },
+ "execution_count": 815,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "bombe.test(Signal('t', 't'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 816,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{'a': True,\n",
+ " 'b': True,\n",
+ " 'c': True,\n",
+ " 'd': True,\n",
+ " 'e': True,\n",
+ " 'f': True,\n",
+ " 'g': True,\n",
+ " 'h': True,\n",
+ " 'i': True,\n",
+ " 'j': True,\n",
+ " 'k': True,\n",
+ " 'l': True,\n",
+ " 'm': True,\n",
+ " 'n': True,\n",
+ " 'o': True,\n",
+ " 'p': True,\n",
+ " 'q': True,\n",
+ " 'r': True,\n",
+ " 's': True,\n",
+ " 't': True,\n",
+ " 'u': True,\n",
+ " 'v': True,\n",
+ " 'w': True,\n",
+ " 'x': True,\n",
+ " 'y': True,\n",
+ " 'z': True}"
+ ]
+ },
+ "execution_count": 816,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "bombe.banks['t']"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 817,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "a : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "b : AbCDEfGHIJkLMNOPqRSTuvWXyZ\n",
+ "c : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "d : ABCDEFGHIJKLMNOPQRSTUVWXyZ\n",
+ "e : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "f : AbCDEfGHIJkLMNOPqRSTuvWXyZ\n",
+ "g : ABCDEFGHIJKLMNOPQRSTuVWXYZ\n",
+ "h : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "i : ABCDEFGHIJKLMNOPQRSTUvWXYZ\n",
+ "j : ABCDEFGHIjKLMNOPQRSTUVWXYZ\n",
+ "k : AbCDEfGHIJkLMNOPqRSTuvWXyZ\n",
+ "l : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "m : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "n : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "o : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "p : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "q : AbCDEfGHIJkLMNOPqRSTuvWXyZ\n",
+ "r : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "s : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "t : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "u : AbCDEfgHIJkLMNOPqRSTuvWXyZ\n",
+ "v : AbCDEfGHiJkLMNOPqRSTuvWXyZ\n",
+ "w : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "x : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n",
+ "y : AbCdEfGHIJkLMNOPqRSTuvWXyZ\n",
+ "z : ABCDEFGHIJKLMNOPQRSTUVWXYZ\n"
+ ]
+ }
+ ],
+ "source": [
+ "for b in sorted(bombe.banks):\n",
+ " print(b, ': ', end='')\n",
+ " for w in sorted(bombe.banks[b]):\n",
+ " if bombe.banks[b][w]:\n",
+ " print(w.upper(), end='')\n",
+ " else:\n",
+ " print(w, end='')\n",
+ " print('')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 818,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('a', 'a', 'a')"
+ ]
+ },
+ "execution_count": 818,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "bombe.wheel_positions_l"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 819,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "['t', 'o'] pqr\n",
+ "['h', 'p'] pqs\n",
+ "['i', 'g'] pqt\n",
+ "['s', 'n'] pqu\n",
+ "['i', 'd'] pqv\n",
+ "['s', 'x'] pqw\n",
+ "['a', 'c'] pqx\n",
+ "['t', 'r'] pqy\n",
+ "['e', 'w'] pqz\n",
+ "['s', 'o'] pqa\n",
+ "['t', 'm'] pqb\n",
+ "['m', 'n'] pqc\n",
+ "['e', 'l'] pqd\n",
+ "['s', 'n'] pqe\n",
+ "['s', 'e'] pqf\n",
+ "['a', 'c'] pqg\n",
+ "['g', 'j'] pqh\n",
+ "['e', 'z'] pqi\n"
+ ]
+ }
+ ],
+ "source": [
+ "bombe.set_positions('p', 'q', 'r')\n",
+ "for c in bombe.connections:\n",
+ " print(c.banks, cat(c.scrambler.wheel_positions_l))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 820,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# bombe.run()\n",
+ "# print('x')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 821,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "a : .b.defghijklmnopqrstuvwxyz\n",
+ "b : a.cde.ghij.lmnop.rst..wx.z\n",
+ "c : .b.defghijklmnopqrstuvwxyz\n",
+ "d : abc.e.gh.jklmnopqrstuvwxyz\n",
+ "e : abcd.fghijklmnopqrstuvwxyz\n",
+ "f : a.c.e.g.ij.lmno..rst..wx.z\n",
+ "g : abcdef.h..klmnopqrstuvwxyz\n",
+ "h : abcde.g.ij.lmno.qrst..wxyz\n",
+ "i : abc.ef.h.jklmnopqrstuvwxyz\n",
+ "j : abcdef.hi.klmnopqrstuvwx.z\n",
+ "k : a.cde.g.ij.lmno..rst..wx.z\n",
+ "l : abcdefghijk.mnopqrstuvwxyz\n",
+ "m : abcdefghijkl.nopqrstuvwxyz\n",
+ "n : abcdefghijklm.opqrstuvwxyz\n",
+ "o : abcdefghijklmn.pqrstuvwxyz\n",
+ "p : abcde.g.ij.lmno.qrst..wxyz\n",
+ "q : a.cde.ghij.lmnop.rst..wx.z\n",
+ "r : abcdefghijklmnopq.stuvwxyz\n",
+ "s : abcdefghijklmnopqr.tuvwxyz\n",
+ "t : abcdefghijklmnopqrs.uvwxyz\n",
+ "u : a.cde.g.ij.lmno..rst..wx.z\n",
+ "v : a.cde.g.ij.lmno..rst..wx.z\n",
+ "w : abcdefghijklmnopqrstuv.xyz\n",
+ "x : abcdefghijklmnopqrstuvw.yz\n",
+ "y : a.cde.ghi..lmnop.rst..wx.z\n",
+ "z : abcdefghijklmnopqrstuvwxy.\n"
+ ]
+ }
+ ],
+ "source": [
+ "bombe.set_positions('a', 'a', 'b')\n",
+ "bombe.test(Signal('s', 'a'))\n",
+ "\n",
+ "for b in sorted(bombe.banks):\n",
+ " print(b, ': ', end='')\n",
+ " for w in sorted(bombe.banks[b]):\n",
+ " if bombe.banks[b][w]:\n",
+ " print(w, end='')\n",
+ " else:\n",
+ " print('.', end='')\n",
+ " print('')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 822,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "a : ..........................\n",
+ "b : ..........................\n",
+ "c : ..........................\n",
+ "d : ..........................\n",
+ "e : ....e.....................\n",
+ "f : ..........................\n",
+ "g : ..........................\n",
+ "h : ..........................\n",
+ "i : ..........................\n",
+ "j : ..........................\n",
+ "k : ..........................\n",
+ "l : ...........l..............\n",
+ "m : ............m.............\n",
+ "n : .............n............\n",
+ "o : ..............o...........\n",
+ "p : ..........................\n",
+ "q : ..........................\n",
+ "r : .................r........\n",
+ "s : ..................s.......\n",
+ "t : ...................t......\n",
+ "u : ..........................\n",
+ "v : ..........................\n",
+ "w : ......................w...\n",
+ "x : .......................x..\n",
+ "y : ..........................\n",
+ "z : .........................z\n"
+ ]
+ }
+ ],
+ "source": [
+ "bombe.set_positions('a', 'a', 'b')\n",
+ "bombe.test()\n",
+ "\n",
+ "for b in sorted(bombe.banks):\n",
+ " print(b, ': ', end='')\n",
+ " for w in sorted(bombe.banks[b]):\n",
+ " if bombe.banks[b][w]:\n",
+ " print(w, end='')\n",
+ " else:\n",
+ " print('.', end='')\n",
+ " print('')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 823,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "1"
+ ]
+ },
+ "execution_count": 823,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "len([bombe.banks['t'][w] for w in bombe.banks['t'] if bombe.banks['t'][w]])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 824,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# %%timeit\n",
+ "# results = bombe.run()\n",
+ "# print(len(results), ('a', 'a', 'b') in results)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 825,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# %%timeit\n",
+ "# results = bombe.run(use_diagonal_board=False)\n",
+ "# print(len(results), ('a', 'a', 'b') in results)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 826,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('a', 'a', 'b')"
+ ]
+ },
+ "execution_count": 826,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "bombe.wheel_positions_l"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 827,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "False"
+ ]
+ },
+ "execution_count": 827,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "bombe.test(Signal('t', 't'), ('p', 'p', 'p'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 828,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('p', 'p', 'p')"
+ ]
+ },
+ "execution_count": 828,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "bombe.wheel_positions_l"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 829,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "a : abcdefghijklmnop.rst.vwxyz\n",
+ "b : a.cde.g.ij.lmno..rst..wx.z\n",
+ "c : abcdefghijklmnop.rst.vwxyz\n",
+ "d : abcdefghijklmnopqrstuvwxyz\n",
+ "e : abcdefghijklmnopqrstuvwxyz\n",
+ "f : a.cde.g.ij.lmno..rst..wx.z\n",
+ "g : abcdefghijklmnopqrstuvwxyz\n",
+ "h : a.cde.ghijklmnop.rst.vwxyz\n",
+ "i : abcdefghijklmnopqrstuvwxyz\n",
+ "j : abcdefghijklmnopqrstuvwxyz\n",
+ "k : a.cde.ghij.lmnop.rst..wx.z\n",
+ "l : abcdefghijklmnopqrstuvwxyz\n",
+ "m : abcdefghijklmnopqrstuvwxyz\n",
+ "n : abcdefghijklmnopqrstuvwxyz\n",
+ "o : abcdefghijklmnopqrstuvwxyz\n",
+ "p : a.cde.ghijklmnop.rst.vwxyz\n",
+ "q : ...de.g.ij.lmno..rst..wx.z\n",
+ "r : abcdefghijklmnopqrstuvwxyz\n",
+ "s : abcdefghijklmnopqrstuvwxyz\n",
+ "t : abcdefghijklmnopqrstuvwxyz\n",
+ "u : ...de.g.ij.lmno..rst..wx.z\n",
+ "v : a.cde.ghij.lmnop.rst..wx.z\n",
+ "w : abcdefghijklmnopqrstuvwxyz\n",
+ "x : abcdefghijklmnopqrstuvwxyz\n",
+ "y : a.cde.ghij.lmnop.rst..wx.z\n",
+ "z : abcdefghijklmnopqrstuvwxyz\n"
+ ]
+ }
+ ],
+ "source": [
+ "for b in sorted(bombe.banks):\n",
+ " print(b, ': ', end='')\n",
+ " for w in sorted(bombe.banks[b]):\n",
+ " if bombe.banks[b][w]:\n",
+ " print(w, end='')\n",
+ " else:\n",
+ " print('.', end='')\n",
+ " print('')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 830,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "17576"
+ ]
+ },
+ "execution_count": 830,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "allwheels = itertools.product(string.ascii_lowercase, repeat=3)\n",
+ "len(list(allwheels))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 831,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(('a', 'a', 'b'), True)"
+ ]
+ },
+ "execution_count": 831,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "b = Bombe(wheel_i_spec, wheel_ii_spec, wheel_iii_spec, reflector_b_spec, menu=menu)\n",
+ "b(('a', 'a', 'b'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 832,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "b = Bombe(wheel_i_spec, wheel_ii_spec, wheel_iii_spec, reflector_b_spec, menu=menu)(('a', 'a', 'b'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 833,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[('a', 'a', 'b')]"
+ ]
+ },
+ "execution_count": 833,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "allwheels = itertools.product(string.ascii_lowercase, repeat=3)\n",
+ "\n",
+ "with multiprocessing.Pool() as pool:\n",
+ " res = pool.map(Bombe(wheel_i_spec, wheel_ii_spec, wheel_iii_spec, reflector_b_spec, menu=menu),\n",
+ " allwheels)\n",
+ "[r[0] for r in res if r[1]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 857,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def run_multi_bombe(wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu,\n",
+ " start_signal=None, use_diagonal_board=True, \n",
+ " verify_plugboard=True):\n",
+ " allwheels = itertools.product(string.ascii_lowercase, repeat=3)\n",
+ "\n",
+ " with multiprocessing.Pool() as pool:\n",
+ " res = pool.map(Bombe(wheel1_spec, wheel2_spec, wheel3_spec, \n",
+ " reflector_spec, menu=menu, start_signal=start_signal, \n",
+ " use_diagonal_board=use_diagonal_board, \n",
+ " verify_plugboard=verify_plugboard),\n",
+ " allwheels)\n",
+ " return [r[0] for r in res if r[1]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 835,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[('a', 'a', 'b')]"
+ ]
+ },
+ "execution_count": 835,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "[r[0] for r in res if r[1]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 836,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Setting sheet line 31 from http://www.codesandciphers.org.uk/enigma/enigma3.htm\n",
+ "# Enigma simulation settings are \n",
+ "# http://enigma.louisedade.co.uk/enigma.html?m3;b;b153;AFTX;AJFE;AU-BG-EY-FP-HL-IN-JZ-OS-QR-TX\n",
+ "w_enigma = Enigma(reflector_b_spec, \n",
+ " wheel_i_spec, wheel_i_pegs,\n",
+ " wheel_v_spec, wheel_v_pegs,\n",
+ " wheel_iii_spec, wheel_iii_pegs,\n",
+ " 6, 20, 24,\n",
+ " 'ua pf rq so ni ey bg hl tx zj')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 837,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('e', 'l', 'e')"
+ ]
+ },
+ "execution_count": 837,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_enigma.set_wheels('j', 'e', 'b')\n",
+ "tuple(unpos(p) for p in w_enigma.wheel_positions)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 838,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'dhnpforeeimgg'"
+ ]
+ },
+ "execution_count": 838,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_enigma.set_wheels('j', 'e', 'b')\n",
+ "pt = 'someplaintext'\n",
+ "ct = w_enigma.encipher(pt)\n",
+ "ct"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 839,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('j', 'e', 'o')"
+ ]
+ },
+ "execution_count": 839,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_enigma.wheel_positions_l"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 840,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[MenuIem(before='s', after='d', number=1),\n",
+ " MenuIem(before='o', after='h', number=2),\n",
+ " MenuIem(before='m', after='n', number=3),\n",
+ " MenuIem(before='e', after='p', number=4),\n",
+ " MenuIem(before='p', after='f', number=5),\n",
+ " MenuIem(before='l', after='o', number=6),\n",
+ " MenuIem(before='a', after='r', number=7),\n",
+ " MenuIem(before='i', after='e', number=8),\n",
+ " MenuIem(before='n', after='e', number=9),\n",
+ " MenuIem(before='t', after='i', number=10),\n",
+ " MenuIem(before='e', after='m', number=11),\n",
+ " MenuIem(before='x', after='g', number=12),\n",
+ " MenuIem(before='t', after='g', number=13)]"
+ ]
+ },
+ "execution_count": 840,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_menu = [MenuItem(p, c, i+1) for i, (p, c) in enumerate(zip(pt, ct))]\n",
+ "w_menu"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 841,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[('a', 'y', 'm'),\n",
+ " ('c', 'p', 'v'),\n",
+ " ('c', 's', 'f'),\n",
+ " ('c', 'w', 'j'),\n",
+ " ('d', 'r', 'k'),\n",
+ " ('e', 'l', 'f'),\n",
+ " ('e', 's', 'v'),\n",
+ " ('e', 'y', 'd'),\n",
+ " ('e', 'y', 'o'),\n",
+ " ('f', 'z', 'x'),\n",
+ " ('g', 'b', 'l'),\n",
+ " ('g', 'c', 'd'),\n",
+ " ('g', 'c', 'f'),\n",
+ " ('g', 'j', 'p'),\n",
+ " ('h', 'c', 'i'),\n",
+ " ('h', 'm', 'w'),\n",
+ " ('h', 'o', 'd'),\n",
+ " ('h', 'p', 'b'),\n",
+ " ('h', 's', 't'),\n",
+ " ('i', 'b', 's'),\n",
+ " ('i', 'v', 'b'),\n",
+ " ('j', 'y', 'u'),\n",
+ " ('k', 'b', 'x'),\n",
+ " ('k', 'f', 't'),\n",
+ " ('k', 'l', 'e'),\n",
+ " ('k', 'l', 'm'),\n",
+ " ('k', 'r', 'z'),\n",
+ " ('k', 's', 'p'),\n",
+ " ('l', 'd', 'z'),\n",
+ " ('l', 'i', 'y'),\n",
+ " ('l', 'y', 'f'),\n",
+ " ('m', 'b', 'h'),\n",
+ " ('m', 'p', 'l'),\n",
+ " ('n', 'l', 'r'),\n",
+ " ('o', 'k', 'x'),\n",
+ " ('p', 'a', 'g'),\n",
+ " ('p', 'c', 'v'),\n",
+ " ('p', 'f', 'o'),\n",
+ " ('p', 'm', 'i'),\n",
+ " ('p', 'x', 'n'),\n",
+ " ('p', 'x', 'p'),\n",
+ " ('q', 'q', 'n'),\n",
+ " ('q', 'r', 'w'),\n",
+ " ('q', 'v', 'l'),\n",
+ " ('q', 'x', 't'),\n",
+ " ('s', 'a', 'h'),\n",
+ " ('s', 'h', 'v'),\n",
+ " ('s', 'l', 'p'),\n",
+ " ('s', 'l', 's'),\n",
+ " ('u', 'r', 'h'),\n",
+ " ('v', 'v', 'v'),\n",
+ " ('v', 'x', 'a'),\n",
+ " ('w', 'j', 'z'),\n",
+ " ('w', 'k', 'u'),\n",
+ " ('x', 'f', 'p'),\n",
+ " ('x', 'j', 'n'),\n",
+ " ('x', 'o', 'q'),\n",
+ " ('x', 'x', 'x'),\n",
+ " ('y', 'n', 'c'),\n",
+ " ('y', 'r', 'f'),\n",
+ " ('z', 't', 'y'),\n",
+ " ('z', 'z', 'k')]"
+ ]
+ },
+ "execution_count": 841,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "allwheels = itertools.product(string.ascii_lowercase, repeat=3)\n",
+ "\n",
+ "with multiprocessing.Pool() as pool:\n",
+ " res = pool.map(Bombe(wheel_i_spec, wheel_v_spec, wheel_iii_spec, reflector_b_spec, \n",
+ " menu=w_menu, verify_plugboard=False),\n",
+ " allwheels)\n",
+ "[r[0] for r in res if r[1]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 842,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "62"
+ ]
+ },
+ "execution_count": 842,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "len([r[0] for r in res if r[1]])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 843,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[('c', 'p', 'v'),\n",
+ " ('c', 's', 'f'),\n",
+ " ('e', 'l', 'f'),\n",
+ " ('g', 'c', 'f'),\n",
+ " ('j', 'y', 'u'),\n",
+ " ('o', 'k', 'x'),\n",
+ " ('p', 'a', 'g'),\n",
+ " ('q', 'q', 'n'),\n",
+ " ('q', 'v', 'l'),\n",
+ " ('q', 'x', 't'),\n",
+ " ('s', 'l', 'p'),\n",
+ " ('u', 'r', 'h'),\n",
+ " ('y', 'n', 'c')]"
+ ]
+ },
+ "execution_count": 843,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "allwheels = itertools.product(string.ascii_lowercase, repeat=3)\n",
+ "\n",
+ "with multiprocessing.Pool() as pool:\n",
+ " res = pool.map(Bombe(wheel_i_spec, wheel_v_spec, wheel_iii_spec, reflector_b_spec, \n",
+ " menu=w_menu, verify_plugboard=True),\n",
+ " allwheels)\n",
+ "[r[0] for r in res if r[1]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 858,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[('c', 'p', 'v'),\n",
+ " ('c', 's', 'f'),\n",
+ " ('e', 'l', 'f'),\n",
+ " ('g', 'c', 'f'),\n",
+ " ('j', 'y', 'u'),\n",
+ " ('o', 'k', 'x'),\n",
+ " ('p', 'a', 'g'),\n",
+ " ('q', 'q', 'n'),\n",
+ " ('q', 'v', 'l'),\n",
+ " ('q', 'x', 't'),\n",
+ " ('s', 'l', 'p'),\n",
+ " ('u', 'r', 'h'),\n",
+ " ('y', 'n', 'c')]"
+ ]
+ },
+ "execution_count": 858,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "run_multi_bombe(wheel_i_spec, wheel_v_spec, wheel_iii_spec, reflector_b_spec, w_menu)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 844,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# allwheels = itertools.product(string.ascii_lowercase, repeat=3)\n",
+ "\n",
+ "# with multiprocessing.Pool() as pool:\n",
+ "# res = pool.map(Bombe(wheel_i_spec, wheel_v_spec, wheel_iii_spec, reflector_b_spec, \n",
+ "# menu=w_menu, start_signal=Signal('t', 'x')),\n",
+ "# allwheels)\n",
+ "# [r[0] for r in res if r[1]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 845,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "13"
+ ]
+ },
+ "execution_count": 845,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "len([r[0] for r in res if r[1]])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 846,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "w_bombe = Bombe(wheel_i_spec, wheel_v_spec, wheel_iii_spec, reflector_b_spec, \n",
+ " menu=w_menu)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 847,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Signal(bank='e', wire='e')"
+ ]
+ },
+ "execution_count": 847,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_bombe.test_start"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 848,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "True"
+ ]
+ },
+ "execution_count": 848,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_bombe.test(start_positions=('e', 'l', 'f'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 849,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "True"
+ ]
+ },
+ "execution_count": 849,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "w_bombe.test(Signal('t', 'x'), ('e', 'l', 'f'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 850,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "True\n",
+ "a : a.cdefghi..l.nopqrst.vwx..\n",
+ "b : ....efghi...mnop.......x..\n",
+ "c : a....fg.i..lmn.p.r.t...x..\n",
+ "d : a...efghij.lmn...rstu..xyz\n",
+ "e : ab.defghijklmnopqrstuvwxyz\n",
+ "f : abcde.ghijklmnopqrstuvwxyz\n",
+ "g : abcdef.hijklmnopqrstuvwxyz\n",
+ "h : ab.defghi...mnopq.stuvwx..\n",
+ "i : abcdefgh.jklmnopqrstuvwxyz\n",
+ "j : ...defg.i...mn.p...t...x..\n",
+ "k : ....efg.i..lmnop.r.t...x..\n",
+ "l : a.cdefg.i.k.mnopqr.t..wxyz\n",
+ "m : .bcdefghijklmnopqrstuvwxyz\n",
+ "n : abcdefghijklmnopqr.tuvwxyz\n",
+ "o : ab..efghi.klmnopqr.t...xyz\n",
+ "p : abc.efghijklmnopqrstuvwxyz\n",
+ "q : a...efghi..lmnop.r.t...x..\n",
+ "r : a.cdefg.i.klmnopqrst..w..z\n",
+ "s : a..defghi...m..p.rstuv.xyz\n",
+ "t : a.cdefghijklmnopqrstuvwxyz\n",
+ "u : ...defghi...mn.p..st...x..\n",
+ "v : a...efghi...mn.p..st...x..\n",
+ "w : a...efghi..lmn.p.r.t...x..\n",
+ "x : abcdefghijklmnopq.stuvwxyz\n",
+ "y : ...defg.i..lmnop..st...x..\n",
+ "z : ...defg.i..lmnop.rst...x..\n"
+ ]
+ }
+ ],
+ "source": [
+ "r = w_bombe.test(start_positions=('c', 'p', 'v'))\n",
+ "print(r)\n",
+ "for b in sorted(w_bombe.banks):\n",
+ " print(b, ': ', end='')\n",
+ " for w in sorted(w_bombe.banks[b]):\n",
+ " if w_bombe.banks[b][w]:\n",
+ " print(w, end='')\n",
+ " else:\n",
+ " print('.', end='')\n",
+ " print('')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 851,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "True\n",
+ "a : abcdefghi..lmnop.rst.v.x.z\n",
+ "b : a...ef.hi..lmnop.r.t...x..\n",
+ "c : a..defg.i..lmn.p.rst...x..\n",
+ "d : a.c.efghi.klmnopqrstu.wxyz\n",
+ "e : abcdefghijklmnopqrstuvwx.z\n",
+ "f : abcdefghijklmno.qrstuvwxyz\n",
+ "g : a.cdefghijklmnopqrstuvwxyz\n",
+ "h : ab.defghi...mnopqrstuvwxyz\n",
+ "i : abcdefghijklm.opqrstuvwxyz\n",
+ "j : ....efg.i..lmnop...t...x..\n",
+ "k : ...defg.i..lmn.p..st...x..\n",
+ "l : abcdefg.ijklmnopqrstuv.x..\n",
+ "m : abcdefghijkl.nopqrstuvwxyz\n",
+ "n : abcdefgh.jklmnopqrstuvwxyz\n",
+ "o : ab.defghij.lmnop.r.tuvwxyz\n",
+ "p : abcde.ghijklmnopqrstuvwxyz\n",
+ "q : ...defghi..lmn.p..st...x..\n",
+ "r : abcdefghi..lmnop.rst.v.x.z\n",
+ "s : a.cdefghi.klmn.pqr.tuvwxyz\n",
+ "t : abcdefghijklmnopqrstuvw.yz\n",
+ "u : ...defghi..lmnop..st...x..\n",
+ "v : a...efghi..lmnop.rst...x..\n",
+ "w : ...defghi...mnop..st...x..\n",
+ "x : abcdefghijklmnopqrs.uvwxyz\n",
+ "y : ...d.fghi...mnop..st...x..\n",
+ "z : a..defghi...mnop.rst...x..\n"
+ ]
+ }
+ ],
+ "source": [
+ "r = w_bombe.test(start_positions=('e', 'l', 'f'))\n",
+ "print(r)\n",
+ "for b in sorted(w_bombe.banks):\n",
+ " print(b, ': ', end='')\n",
+ " for w in sorted(w_bombe.banks[b]):\n",
+ " if w_bombe.banks[b][w]:\n",
+ " print(w, end='')\n",
+ " else:\n",
+ " print('.', end='')\n",
+ " print('')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 852,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{frozenset({'e', 'y'}),\n",
+ " frozenset({'t', 'x'}),\n",
+ " frozenset({'i', 'n'}),\n",
+ " frozenset({'m'}),\n",
+ " frozenset({'b', 'g'}),\n",
+ " frozenset({'f', 'p'})}"
+ ]
+ },
+ "execution_count": 852,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "ps = w_bombe.possible_plugboards()\n",
+ "ps"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 853,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "True"
+ ]
+ },
+ "execution_count": 853,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "all(s0.isdisjoint(s1) for s0 in ps for s1 in ps if s0 != s1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 854,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "({frozenset({1, 2}), frozenset({2, 3}), frozenset({3, 4})},\n",
+ " frozenset({1, 2}),\n",
+ " frozenset({3, 4}),\n",
+ " frozenset({2, 3}))"
+ ]
+ },
+ "execution_count": 854,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "s = set()\n",
+ "f1 = frozenset((1, 2))\n",
+ "f2 = frozenset((3, 4))\n",
+ "f3 = frozenset((2, 3))\n",
+ "s = s.union({f1})\n",
+ "s = s.union({f2})\n",
+ "s = s.union({f1})\n",
+ "s = s.union({f3})\n",
+ "s, f1, f2, f3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 855,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "False"
+ ]
+ },
+ "execution_count": 855,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "all(s0.isdisjoint(s1) for s0 in s for s1 in s if s0 != s1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 856,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "False"
+ ]
+ },
+ "execution_count": 856,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "{1, 2}.isdisjoint({1, 6})"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1+"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
# coding: utf-8
+##################################
# # Enigma machine
+##################################
# Specification from [Codes and Ciphers](http://www.codesandciphers.org.uk/enigma/rotorspec.htm) page.
#
# Example Enigma machines from [Louise Dale](http://enigma.louisedade.co.uk/enigma.html) (full simulation) and [EnigmaCo](http://enigmaco.de/enigma/enigma.html) (good animation of the wheels, but no ring settings).
import string
import collections
+import multiprocessing
+import itertools
# Some convenience functions
def advance(self):
self.position = (self.position + 1) % 26
- # return self.position
def set_position(self, position):
self.position = (pos(position) - self.ring_setting + 1) % 26
- # self.position_l = position
self.peg_positions = [(pos(p) - pos(position)) % 26 for p in self.ring_peg_letters]
def advance(self):
super(Wheel, self).advance()
self.peg_positions = [(p - 1) % 26 for p in self.peg_positions]
- # self.position_l = unpos(self.position + self.ring_setting - 1)
- # return self.position
-
-
class Enigma(object):
'wenpbqrouxlkychdfgzvitajms'
- >>> enigma31.set_wheels('i', 'd', 'z')
+ >>> enigma31.set_wheels('i', 'z', 'd')
>>> enigma31.encipher('verylongtestmessagewithanextrabitofmessageforgoodmeasure')
- 'gstsegeqdrthkfwesljjomfvcqwcfspxpfqqmewvddybarzwubxtpejz'
+ 'apocwtjuikurcfivlozvhffkoacxufcekthcvodfqpxdjqyckdozlqki'
>>> enigma31.wheel_positions
- (3, 12, 6)
+ (4, 9, 10)
>>> cat(enigma31.wheel_positions_l)
- 'ifd'
+ 'jch'
>>> enigma31.peg_positions
- ([8], [20], [18])
+ ([7], [23], [14])
>>> cat(enigma31.lookup(l) for l in string.ascii_lowercase)
- 'urygzpdmxtwshqvfnbljaokice'
+ 'mopnigfuesqwadbcktjrhylzvx'
- >>> enigma31.set_wheels('i', 'd', 'z')
- >>> enigma31.decipher('gstsegeqdrthkfwesljjomfvcqwcfspxpfqqmewvddybarzwubxtpejz')
+ >>> enigma31.set_wheels('i', 'z', 'd')
+ >>> enigma31.decipher('apocwtjuikurcfivlozvhffkoacxufcekthcvodfqpxdjqyckdozlqki')
'verylongtestmessagewithanextrabitofmessageforgoodmeasure'
"""
def __init__(self, reflector_spec,
# print()
+##################################
+# # Bombe
+##################################
+
+Signal = collections.namedtuple('Signal', ['bank', 'wire'])
+Connection = collections.namedtuple('Connection', ['banks', 'scrambler'])
+MenuItem = collections.namedtuple('MenuIem', ['before', 'after', 'number'])
+
+
+class Scrambler(object):
+ def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
+ wheel1_pos='a', wheel2_pos='a', wheel3_pos='a'):
+ self.wheel1 = SimpleWheel(wheel1_spec, position=wheel1_pos)
+ self.wheel2 = SimpleWheel(wheel2_spec, position=wheel2_pos)
+ self.wheel3 = SimpleWheel(wheel3_spec, position=wheel3_pos)
+ self.reflector = Reflector(reflector_spec)
+
+ def __getattribute__(self, name):
+ if name=='wheel_positions':
+ return self.wheel1.position, self.wheel2.position, self.wheel3.position
+ elif name=='wheel_positions_l':
+ return self.wheel1.position_l, self.wheel2.position_l, self.wheel3.position_l
+ else:
+ return object.__getattribute__(self, name)
+
+ def advance(self, wheel1=False, wheel2=False, wheel3=True):
+ if wheel1: self.wheel1.advance()
+ if wheel2: self.wheel2.advance()
+ if wheel3: self.wheel3.advance()
+
+ def lookup(self, letter):
+ a = self.wheel3.forward(letter)
+ b = self.wheel2.forward(a)
+ c = self.wheel1.forward(b)
+ d = self.reflector.forward(c)
+ e = self.wheel1.backward(d)
+ f = self.wheel2.backward(e)
+ g = self.wheel3.backward(f)
+ return g
+
+ def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ self.wheel1.set_position(wheel1_pos)
+ self.wheel2.set_position(wheel2_pos)
+ self.wheel3.set_position(wheel3_pos)
+
+
+class Bombe(object):
+ def __init__(self, wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec,
+ menu=None, start_signal=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ self.connections = []
+ self.wheel1_spec = wheel1_spec
+ self.wheel2_spec = wheel2_spec
+ self.wheel3_spec = wheel3_spec
+ self.reflector_spec = reflector_spec
+ if menu:
+ self.read_menu(menu)
+ if start_signal:
+ self.test_start = start_signal
+ self.use_diagonal_board = use_diagonal_board
+ self.verify_plugboard = verify_plugboard
+
+ def __getattribute__(self, name):
+ if name=='wheel_positions':
+ return self.connections[0].scrambler.wheel_positions
+ elif name=='wheel_positions_l':
+ return self.connections[0].scrambler.wheel_positions_l
+ else:
+ return object.__getattribute__(self, name)
+
+ def __call__(self, start_positions):
+ return start_positions, self.test(initial_signal=self.test_start,
+ start_positions=start_positions,
+ use_diagonal_board=self.use_diagonal_board,
+ verify_plugboard=self.verify_plugboard)
+
+ def add_connection(self, bank_before, bank_after, scrambler):
+ self.connections += [Connection([bank_before, bank_after], scrambler)]
+
+ def read_menu(self, menu):
+ for item in menu:
+ scrambler = Scrambler(self.wheel1_spec, self.wheel2_spec, self.wheel3_spec,
+ self.reflector_spec,
+ wheel3_pos=unpos(item.number - 1))
+ self.add_connection(item.before, item.after, scrambler)
+ most_common_letter = (collections.Counter(m.before for m in menu) + \
+ collections.Counter(m.after for m in menu)).most_common(1)[0][0]
+ self.test_start = Signal(most_common_letter, most_common_letter)
+
+ def set_positions(self, wheel1_pos, wheel2_pos, wheel3_pos):
+ for i, c in enumerate(self.connections):
+ c.scrambler.set_positions(wheel1_pos, wheel2_pos, unpos(pos(wheel3_pos) + i))
+
+ def test(self, initial_signal=None, start_positions=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ self.banks = {label:
+ dict(zip(string.ascii_lowercase, [False]*len(string.ascii_lowercase)))
+ for label in string.ascii_lowercase}
+ if start_positions:
+ self.set_positions(*start_positions)
+ if not initial_signal:
+ initial_signal = self.test_start
+ self.pending = [initial_signal]
+ self.propagate(use_diagonal_board)
+ live_wire_count = len([self.banks[self.test_start.bank][w]
+ for w in self.banks[self.test_start.bank]
+ if self.banks[self.test_start.bank][w]])
+ if live_wire_count < 26:
+ if verify_plugboard:
+ possibles = self.possible_plugboards()
+ return all(s0.isdisjoint(s1) for s0 in possibles for s1 in possibles if s0 != s1)
+ else:
+ return True
+ else:
+ return False
+
+ def propagate(self, use_diagonal_board):
+ while self.pending:
+ current = self.pending[0]
+ # print("processing", current)
+ self.pending = self.pending[1:]
+ if not self.banks[current.bank][current.wire]:
+ self.banks[current.bank][current.wire] = True
+ if use_diagonal_board:
+ self.pending += [Signal(current.wire, current.bank)]
+ for c in self.connections:
+ if current.bank in c.banks:
+ other_bank = [b for b in c.banks if b != current.bank][0]
+ other_wire = c.scrambler.lookup(current.wire)
+ # print(" adding", other_bank, other_wire, "because", c.banks)
+ self.pending += [Signal(other_bank, other_wire)]
+
+ def run(self, run_start=None, wheel1_pos='a', wheel2_pos='a', wheel3_pos='a', use_diagonal_board=True):
+ if not run_start:
+ run_start = self.test_start
+ self.solutions = []
+ self.set_positions(wheel1_pos, wheel2_pos, wheel3_pos)
+ for run_index in range(26*26*26):
+ if self.test(initial_signal=run_start, use_diagonal_board=use_diagonal_board):
+ self.solutions += [self.connections[0].scrambler.wheel_positions_l]
+ advance3 = True
+ advance2 = False
+ advance1 = False
+ if (run_index + 1) % 26 == 0: advance2 = True
+ if (run_index + 1) % (26*26) == 0: advance1 = True
+ for c in self.connections:
+ c.scrambler.advance(advance1, advance2, advance3)
+ return self.solutions
+
+ def possible_plugboards(self):
+ possibles = set()
+ for b in self.banks:
+ active = [w for w in self.banks[b] if self.banks[b][w]]
+ inactive = [w for w in self.banks[b] if not self.banks[b][w]]
+ if len(active) == 1:
+ possibles = possibles.union({frozenset((b, active[0]))})
+ if len(inactive) == 1:
+ possibles = possibles.union({frozenset((b, inactive[0]))})
+ return possibles
+
+
+def make_menu(plaintext, ciphertext):
+ return [MenuItem(p, c, i+1)
+ for i, (p, c) in enumerate(zip(plaintext, ciphertext))]
+
+
+def run_multi_bombe(wheel1_spec, wheel2_spec, wheel3_spec, reflector_spec, menu,
+ start_signal=None, use_diagonal_board=True,
+ verify_plugboard=True):
+ allwheels = itertools.product(string.ascii_lowercase, repeat=3)
+
+ with multiprocessing.Pool() as pool:
+ res = pool.map(Bombe(wheel1_spec, wheel2_spec, wheel3_spec,
+ reflector_spec, menu=menu, start_signal=start_signal,
+ use_diagonal_board=use_diagonal_board,
+ verify_plugboard=verify_plugboard),
+ allwheels)
+ return [r[0] for r in res if r[1]]
+
+
if __name__ == "__main__":
import doctest
# doctest.testmod(extraglobs={'lt': LetterTransformer(1, 'a')})
projects / cipher-training.git / commitdiff