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739 lines (649 loc) · 26.1 KB
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"""
Simulation of three wheel Turing Bombe - a Python port of
Simon Jansen's "turing-welchman-bombe-c-code" which he kindly
shared with me.
See http://www.asciimation.co.nz/bb/2015/06/14/a-turingwelchman-bombe
31/12/2017 First complete Python version
"""
#
# ENIGMA rotors.
# ABCDEFGHIJKLMNOPQRSTUVWXYZ ABCDEFGHIJKLMNOPQRSTUVWXYZ
rotor1 = "EKMFLGDQVZNTOWYHXUSPAIBRCJ UWYGADFPVZBECKMTHXSLRINQOJ"
rotor2 = "AJDKSIRUXBLHWTMCQGZNPYFVOE AJPCZWRLFBDKOTYUQGENHXMIVS"
rotor3 = "BDFHJLCPRTXVZNYEIWGAKMUSQO TAGBPCSDQEUFVNZHYIXJWLRKOM"
rotor4 = "ESOVPZJAYQUIRHXLNFTGKDCMWB HZWVARTNLGUPXQCEJMBSKDYOIF"
rotor5 = "VZBRGITYUPSDNHLXAWMJQOFECK QCYLXWENFTZOSMVJUDKGIARPHB"
# Enigma reflectors.
reflectorB = "YRUHQSLDPXNGOKMIEBFZCWVJAT"
reflectorC = "FVPJIAOYEDRZXWGCTKUQSBNMHL"
# Set up Bombe drums.
drum1 = ' '
drum2 = ' '
drum3 = ' '
# Bombe drum offsets fomr Enigma rotors.
drum1CoreOffset = 0
drum2CoreOffset = 0
drum3CoreOffset = 0
ROTOR1COREOFFSET = 1
ROTOR2COREOFFSET = 1
ROTOR3COREOFFSET = 1
ROTOR4COREOFFSET = 2
ROTOR5COREOFFSET = 3
# Drums.
drums = [0 for i in range(3)]
# Menu connections.
MAXNUMBERCONNECTIONS = 6
menuConnections = [[0 for j in range(MAXNUMBERCONNECTIONS)] for i in range(36)]
# Scramblers.
numberOfScramblers = 0
#scramblerOffsets = ["" for i in range(36)]
scramblerOffsets = []
scramblerConnections = ["" for i in range(36)]
# Menu letters.
numberMenuLetters = 0
menuLetters = ""
# Test input voltage.
inputLetter = ' '
# Test register.
testMenuLetter = ' '
# Ring setting for all drums.
# 25 = Z.
RINGSETTING = 25
# Set up Bombe reflector.
reflector = ""
diagonalBoard = [[' ' for j in range(26)] for i in range(26)]
diagonalBoardLetter = ' '
# Initial indicator drum positions.
indicatorDrums = "ZZZ"
# Number of untraced voltages.
untraced = 0
# Number of stops.
numStops = 0
# Number of iterations.
numIterations = 0
# States.
allIterationsDone = False
stopFound = False
runComplete = False
# Debugging.
debugDiagonal = False
debugOther = False
debugEnigma = False
# ----------------------------------------------------------------------------
# Read rotors.
# ----------------------------------------------------------------------------
def ReadRotors(buffer):
drums[0] = int(buffer[8])
drums[1] = int(buffer[11])
drums[2] = int(buffer[14])
# ----------------------------------------------------------------------------
# Read reflector.
# ----------------------------------------------------------------------------
def ReadReflector(buffer):
global reflector
if buffer[11] == 'B':
reflector = reflectorB
elif buffer[11] == 'C':
reflector = reflectorC
# ----------------------------------------------------------------------------
# Read test register.
# ----------------------------------------------------------------------------
def ReadTestRegister(buffer):
global testMenuLetter
testMenuLetter = buffer[15]
# ----------------------------------------------------------------------------
# Read input voltage.
# ----------------------------------------------------------------------------
def ReadInputVoltage(buffer):
global inputLetter
inputLetter = buffer[15]
# ----------------------------------------------------------------------------
# Read scramblers.
# ----------------------------------------------------------------------------
def ReadScramblers(buffer):
global numberOfScramblers
# Work out how many scramblers are being used.
breakout = buffer[7:].split(',')
numberOfScramblers = len(breakout)
# # Copy the scramblers.
# for i in range(numberOfScramblers):
# scramblerOffsets[i] = breakout[i].strip()
# Copy the scramblers.
for token in breakout:
scramblerOffsets.append(token.strip())
# ----------------------------------------------------------------------------
# Read connections.
# ----------------------------------------------------------------------------
def ReadConnections(buffer, connectionCount):
global numberMenuLetters, menuLetters
tokenCount = 0
# Set the menu letter.
menuLetter = buffer[0]
menuLetters += menuLetter
numberMenuLetters += 1
tokenInt = -1
# Extract the tokens
breakout = buffer[3:].split(',')
# for i in range(len(breakout)):
# breakout[i] = breakout[i].strip()
# Loop through the tokens
for token in breakout:
token = token.strip()
tokenCount += 1
# Remove the 'i' or 'o'.
token = token[:-1]
tokenInt = int(token)
# Store the connection.
menuConnections[connectionCount][tokenCount - 1] = tokenInt
# Store the menu letter against the correct scrambler.
scramblerConnections[tokenInt - 1] += menuLetter
#
# ----------------------------------------------------------------------------
# Read the set up information from a file.
# ----------------------------------------------------------------------------
def ReadSetupFile(filename):
buffer = ""
lineCount = 0
# Open the file for reading.
menuFile = open(filename, 'r')
print("Menu file opened.")
# Read each line.
for buffer in menuFile:
buffer = buffer[:len(buffer)-1]
lineCount += 1
if lineCount == 1:
ReadRotors(buffer)
elif lineCount == 2:
ReadReflector(buffer)
elif lineCount == 3:
ReadTestRegister(buffer)
elif lineCount == 4:
ReadInputVoltage(buffer)
elif lineCount == 5:
ReadScramblers(buffer)
elif lineCount > 6:
ReadConnections(buffer, lineCount - 7)
# Close the file.
menuFile.close()
return True
# ----------------------------------------------------------------------------
# Setup the drums.
# ----------------------------------------------------------------------------
def SetupDrums():
global drum1, drum2, drum3, drum1CoreOffset, drum2CoreOffset, drum3CoreOffset
drum1, drum1CoreOffset = SetDrumAndOffset(drums[0])
drum2, drum2CoreOffset = SetDrumAndOffset(drums[1])
drum3, drum3CoreOffset = SetDrumAndOffset(drums[2])
# ----------------------------------------------------------------------------
# Set the correct drum and core wiring offset.
# ----------------------------------------------------------------------------
def SetDrumAndOffset(rotor):
drum = ""
offset = ""
if rotor == 1:
drum = rotor1
offset = ROTOR1COREOFFSET
elif rotor == 2:
drum = rotor2
offset = ROTOR2COREOFFSET
elif rotor == 3:
drum = rotor3;
offset = ROTOR3COREOFFSET
elif rotor == 4:
drum = rotor4;
offset = ROTOR4COREOFFSET
elif rotor == 5:
drum = rotor5;
offset = ROTOR5COREOFFSET
else:
print("Unknown rotor specified.")
return drum, offset
# ----------------------------------------------------------------------------
# Print the setup data to the screen.
# ----------------------------------------------------------------------------
def PrintSetupData():
print("Top drum: %i" % (drums[0]))
print("Middle drum: %i" % (drums[1]))
print("Bottom drum: %i" % (drums[2]))
if reflector[0] == 'Y':
print("Reflector: B")
elif reflector[0] == 'F':
print("Reflector: C")
print("Test register: %c" % (testMenuLetter))
print("Test voltage: %c" % (inputLetter))
print("Number of scramblers: %i" % (numberOfScramblers))
PrintScramblers()
print("Number of menu letters: %i" % (numberMenuLetters))
print("Menu connections:")
for i in range(numberMenuLetters):
print("%c:" % menuLetters[i], end = '')
for j in range(MAXNUMBERCONNECTIONS):
if menuConnections[i][j] != 0:
print("%3i " % menuConnections[i][j], end = '')
print()
# ----------------------------------------------------------------------------
# Pass a value through the given scrambler.
# ----------------------------------------------------------------------------
def Scrambler(value, currentScrambler):
currentDrum = ""
currentDrumOffset = 0
drumCoreOffset = 0
# Through drum 3.
currentDrum = drum3
currentDrumOffset = ord(currentScrambler[2]) - ord('A')
drumCoreOffset = drum3CoreOffset
value = CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset)
value = ForwardThroughScrambler(value, currentDrum, currentDrumOffset,
drumCoreOffset)
# Through drum 2.
currentDrum = drum2
currentDrumOffset = ord(currentScrambler[1]) - ord('A')
drumCoreOffset = drum2CoreOffset
value = CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset)
value = ForwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset)
# Through drum 1.
currentDrum = drum1
currentDrumOffset = ord(currentScrambler[0]) - ord('A')
drumCoreOffset = drum1CoreOffset
value = CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset)
value = ForwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset)
# Through reflector.
value = ord(reflector[value - 1]) - 64
value = WrapScramblerOffset(value)
if (debugEnigma == True):
print("%c" % (value + 64), end = '')
# Back through drum 1.
currentDrum = drum1
currentDrumOffset = ord(currentScrambler[0]) - ord('A')
drumCoreOffset = drum1CoreOffset
value = CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset)
value = BackwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset)
# Back through drum 2.
currentDrum = drum2
currentDrumOffset = ord(currentScrambler[1]) - ord('A')
drumCoreOffset = drum2CoreOffset
value = CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset)
value = BackwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset)
# Back through drum 3.
currentDrum = drum3
currentDrumOffset = ord(currentScrambler[2]) - ord('A')
drumCoreOffset = drum3CoreOffset
value = CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset)
value = BackwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset)
return value
# ----------------------------------------------------------------------------
# Wrap the scrambler value so it is in the range 1-26.
# ----------------------------------------------------------------------------
def WrapScramblerOffset(value):
while (value < 1):
value = value + 26
while (value > 26):
value = value - 26
return value
# ----------------------------------------------------------------------------
# Calculate the current scrambler offset.
# We take the current drum offset, the ring value (Z) and the Bombe core
# wiring offset into account.
# ----------------------------------------------------------------------------
def CalculateScramblerOffset(value, currentDrumOffset, drumCoreOffset):
returnValue = -1
returnValue = value + currentDrumOffset - RINGSETTING - drumCoreOffset
returnValue = WrapScramblerOffset(returnValue)
return returnValue
# ----------------------------------------------------------------------------
# Pass the value forwards through the given scrambler.
# ----------------------------------------------------------------------------
def ForwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset):
currentValue = -1
currentValue = ord(currentDrum[(value - 1)]) - 64
currentValue = currentValue - currentDrumOffset + RINGSETTING + drumCoreOffset
currentValue = WrapScramblerOffset(currentValue)
if (debugEnigma == True):
print("%c" % (currentValue + 64), end = '')
return currentValue
# ----------------------------------------------------------------------------
# Pass the value backwards through the given scrambler.
# ----------------------------------------------------------------------------
def BackwardThroughScrambler(value, currentDrum, currentDrumOffset, drumCoreOffset):
currentValue = -1
currentValue = ord(currentDrum[(value - 1) + 27]) - 64
currentValue = currentValue - currentDrumOffset + RINGSETTING + drumCoreOffset
currentValue = WrapScramblerOffset(currentValue)
if (debugEnigma == True):
print("%c" % (currentValue + 64), end = '')
return currentValue
# ----------------------------------------------------------------------------
# Increment all the scramblers.
# ----------------------------------------------------------------------------
def IncrementScramblers():
for i in range(numberOfScramblers):
IncrementScrambler(i)
# ----------------------------------------------------------------------------
# Increment the scrambler.
# ----------------------------------------------------------------------------
def IncrementScrambler(i):
# Always increment the top drum.
# Top drum.
letter1 = chr(ord(scramblerOffsets[i][0])+1)
if letter1 > 'Z':
letter1 = 'A'
# The middle one increments after the top one has done 1 and a half turns
# or 39 steps (26 + 13).
if (numIterations % 39) == 0:
# Middle drum.
letter2 = chr(ord(scramblerOffsets[i][1])+1)
if letter2 > 'Z':
letter2 = 'A'
else:
letter2 = scramblerOffsets[i][1]
# Bottom drum increments when the second drum has done one whole turn.
if (numIterations % (39 * 26)) == 0:
letter3 = chr(ord(scramblerOffsets[i][2])+1)
if letter3 > 'Z':
letter3 = 'A'
else:
letter3 = scramblerOffsets[i][2]
scramblerOffsets[i] = letter1 + letter2 + letter3
# ----------------------------------------------------------------------------
# Decrement the indicator.
# ----------------------------------------------------------------------------
def DecrementIndicator():
global allIterationsDone, indicatorDrums
letter2 = indicatorDrums[1]
letter3 = indicatorDrums[2]
# Top indicator drum always decrements.
letter1 = chr(ord(indicatorDrums[0]) - 1)
if letter1 < 'A':
letter1 = 'Z'
# The middle one decrements after the top one has done 1 and a half turns
# or 39 steps (26 + 13).
if (numIterations % 39) == 0:
letter2 = chr(ord(indicatorDrums[1]) - 1)
if letter2 < 'A':
letter2 = 'Z'
# The bottom one decrements if the middle one has just finished one turn.
letter3 = chr(ord(indicatorDrums[2]) - 1)
if letter3 < 'A':
letter3 = 'Z'
# When this happens we are done.
allIterationsDone = True
print
print("All stops found.")
indicatorDrums = letter1 + letter2 + letter3
# ----------------------------------------------------------------------------
# Reset the diagonal board to all zero.
# ----------------------------------------------------------------------------
def ResetDiagonalBoard():
global untraced
if debugDiagonal == True:
print("Resetting diagonal board.")
# Set all voltages to 0.
for i in range(26):
for j in range(26):
diagonalBoard[i][j] = 0
# Set the untraced count to 0.
untraced = 0
# ----------------------------------------------------------------------------
# Set voltages on the diagonal board.
# ----------------------------------------------------------------------------
def SetDiagonalBoard(menuLetter, letter):
global untraced
if (debugOther == True):
print("Setting diagonal: %c:%c" % (menuLetter, letter))
if (diagonalBoard[ord(menuLetter) - ord('A')][ord(letter) - ord('A')] == 0):
# Always update the menu letter.
diagonalBoard[ord(menuLetter) - ord('A')][ord(letter) - ord('A')] = -1
# Update the count of untraced voltages.
untraced += 1
# If it's not the same letter in the pair set the diagonal.
if (menuLetter != letter):
if (diagonalBoard[ord(letter) - ord('A')][ord(menuLetter) - ord('A')] == 0):
# Update the untraced count if this is a menu letter.
if menuLetters.find(letter) != -1:
diagonalBoard[ord(letter) - ord('A')][ord(menuLetter) - ord('A')] = -1
untraced += 1
else:
diagonalBoard[ord(letter) - ord('A')][ord(menuLetter) - ord('A')] = 2
# ----------------------------------------------------------------------------
# Print out the scramblers.
# ----------------------------------------------------------------------------
def PrintScramblers():
scramblerNumber = 0
print("Scramblers:")
for i in range(numberOfScramblers):
print("%2i:%s-%s " % (i + 1, scramblerOffsets[i],
scramblerConnections[i]), end = '')
scramblerNumber += 1
if scramblerNumber % 6 == 0:
print()
print()
# ----------------------------------------------------------------------------
# Print out a scrambler corrected to match Enigma.
# ----------------------------------------------------------------------------
def PrintCorrectedScrambler(scrambler):
drum = ''
drumValue = -1
drum = scrambler[0];
# drumValue = (int)drum - 64 - drum1CoreOffset;
drumValue = ord(drum) - 64 - drum1CoreOffset
drumValue = WrapScramblerOffset(drumValue)
print("%c" % (drumValue + 64), end = '')
drum = scrambler[1]
# drumValue = (int)drum - 64 - drum2CoreOffset;
drumValue = ord(drum) - 64 - drum2CoreOffset
drumValue = WrapScramblerOffset(drumValue)
print("%c" % (drumValue + 64), end = '')
drum = scrambler[2]
# drumValue = (int)drum - 64 - drum3CoreOffset;
drumValue = ord(drum) - 64 - drum3CoreOffset
drumValue = WrapScramblerOffset(drumValue)
print("%c" % (drumValue + 64), end = '')
# ----------------------------------------------------------------------------
# Print out the diagonal board.
# ----------------------------------------------------------------------------
def PrintDiagonalBoard():
print()
print(" ", end = '')
for i in range(26):
print("%2c" % (chr(ord('A') + i)), end = '')
print()
for i in range(26):
for j in range(26):
# Print the rows.
if j == 0:
# If this is the test register print a ?
if (chr(i + ord('A')) == testMenuLetter):
print("?", end = '')
else:
print("%c" % (chr(i + ord('A'))), end = '')
# Print the board.
if (diagonalBoard[i][j] == -1):
print(" x", end = '')
elif (diagonalBoard[i][j] == 1):
print(" |", end = '')
elif (diagonalBoard[i][j] == 2):
print(" o", end = '')
else:
print(" ", end = '')
print()
print()
# ----------------------------------------------------------------------------
# Print out the test register.
#----------------------------------------------------------------------------
def PrintTestRegister():
for i in range(26):
print("%c" % (chr(ord('A') + i)), end = '')
print()
for i in range(26):
if (diagonalBoard[ord(testMenuLetter) - ord('A')][i] == 1):
print("%c" % (' '), end = '')
else:
print("%c" % ('|'), end = '')
print()
# ----------------------------------------------------------------------------
# Check position function.
# ----------------------------------------------------------------------------
def CheckDrumPosition(iteration):
global stopFound, numStops
numberVoltages = 0
potentialStecker = ' '
# Clear the diagonal board.
ResetDiagonalBoard()
# Set up the initial letters.
SetDiagonalBoard(testMenuLetter, inputLetter)
# Trace all voltages.
Trace()
# If we've traced all voltages check if we have a stop.
numberVoltages, potentialStecker = CheckRegister(testMenuLetter)
# If not all letters have a voltage we have a stop.
if numberVoltages < 26:
stopFound = True
numStops += 1
print("Stop %i found." % (numStops))
print("Indicator: %s Iteration: %i" % (indicatorDrums, iteration))
PrintTestRegister()
# ----------------------------------------------------------------------------
# Check a register to see if we have traced all voltages.
# ----------------------------------------------------------------------------
def CheckRegister(letter):
traceCount = 0
potentialStecker1 = ''
potentialStecker25 = ''
stecker = ''
# If we've traced all voltages check for a stop.
# Check each voltage.
# PrintDiagonalBoard()
for i in range(26):
# Decrement count for each set voltage.
if (diagonalBoard[ord(letter) - ord('A')][i] != 0):
traceCount += 1
# Store the potential stecker.
if (diagonalBoard[ord(letter) - ord('A')][i] == 1):
# Either the single voltage set.
potentialStecker1 = i + ord('A')
elif (diagonalBoard[ord(letter) - ord('A')][i] == 0):
# Or the single voltage unset.
potentialStecker25 = i + ord('A')
# Return the correct stecker.
if (traceCount == 1):
# If one set return that one.
stecker = potentialStecker1
elif (traceCount == 25):
# If 25 set return the one unset.
stecker = potentialStecker25
else:
# Else return null.
stecker = ''
return traceCount, stecker
# ----------------------------------------------------------------------------
# Trace voltages.
# ----------------------------------------------------------------------------
def Trace():
# Loop until we've finished tracing every voltage.
while (untraced > 0):
# For each menu letter.
for j in range(numberMenuLetters):
if (debugDiagonal == True):
PrintDiagonalBoard()
if (debugOther == True):
print("Indicator: %s" % (indicatorDrums))
print("Checking letter: %c" % (menuLetters[j]))
print("Total untraced: %i" % (untraced))
# Trace the voltage through the menu.
# For each input voltage on this menu letter.
for k in range(26):
if (diagonalBoard[ord(menuLetters[j]) - ord('A')][k] == -1):
# If there is a -1 we trace it through.
TraceMenuLetterVoltages(j, k)
if (untraced == 0):
break;
# ----------------------------------------------------------------------------
# Trace voltages for this menu letter.
# ----------------------------------------------------------------------------
def TraceMenuLetterVoltages(menuLetterIndex, voltage):
global untraced
currentScrambler = 0
# currentConnections = 0
currentScramblerLetters = 0
output = 0
connectionCount = 0
#Set this voltage as traced.
diagonalBoard[ord(menuLetters[menuLetterIndex]) - ord('A')][voltage] = 1
untraced -= 1
if (debugOther == True):
print("Tracing voltage on letter %c" % (voltage + ord('A')))
# For each connected scrambler.
for i in range(MAXNUMBERCONNECTIONS):
# If we checked all scramblers we are done tracing.
if (menuConnections[menuLetterIndex][i] == 0):
break
# Else send the voltage through this scrambler.
# currentScrambler = scramblerOffsets[(menuConnections[menuLetterIndex][i]) - 1][0]
currentScrambler = scramblerOffsets[(menuConnections[menuLetterIndex][i]) - 1]
currentScramblerLetters = scramblerConnections[(menuConnections[menuLetterIndex][i]) - 1][0]
if (debugOther == True):
print("%2i:" % (menuConnections[menuLetterIndex][i]), end = '')
PrintCorrectedScrambler(currentScrambler)
print(" %c>" % (voltage + 65), end = '')
output = Scrambler(voltage + 1, currentScrambler)
if (debugOther == True):
print("%c" % (output + 64))
# Set a -1 on the other end of each connected scrambler.
letter = chr(output + 64)
for j in range(2):
# Each scrambler is between two letters.
if (scramblerConnections[(menuConnections[menuLetterIndex][i]) - 1][j] != menuLetters[menuLetterIndex]):
# If its not this menu letter it's the opposite end.
SetDiagonalBoard(scramblerConnections[(menuConnections[menuLetterIndex][i]) - 1][j], letter)
# ----------------------------------------------------------------------------
# Main program.
# ----------------------------------------------------------------------------
fileRead = False
menuFile = "menu_PV.txt"
# Read the menu file.
print("Reading menu file...")
fileRead = ReadSetupFile(menuFile)
if fileRead == False:
print("Could not open input menu file.")
print("Press STOP to shutdown.")
runComplete = True
# Set up the drums and print out the configuration.
SetupDrums()
PrintSetupData()
print("Bombe finding next stop...")
print("Menu loaded. Press START to run.")
# main loop.
while True:
# If we are still calculating.
if ((allIterationsDone == False) and (stopFound == False)):
# Next iteration.
numIterations += 1
# Increment all the scramblers.
IncrementScramblers()
# Decrement the indicator drums.
DecrementIndicator()
# Don't check the half cycles.
if (numIterations % 39) >= 13:
# Check this position.
CheckDrumPosition(numIterations)
if debugOther == True:
print("Iteration: %i\tIndicator: %s\t%i *" % (numIterations, indicatorDrums, numIterations % 39))
PrintScramblers()
elif debugOther == True:
print("Iteration: %i\tIndicator: %s\t%i" % (numIterations, indicatorDrums, numIterations % 39))
PrintScramblers();
#
# # If a stop was found and the Arduino is running wait for it
# # to catch up.
if ((allIterationsDone == False) and (stopFound == True)):
stopFound = False
#
# # If we've found all stops and the Arduino is running wait for it
# # to finish.
if ((allIterationsDone == True) and (runComplete == False)):
runComplete = True
# Complete.
print("Bombe run complete.")
print("Press STOP to shutdown.")
print("Iterations:", numIterations)
# break