chaos_machine.py

"""example of simple chaos machine"""
from __future__ import print_function

try:
  input = raw_input  # Python 2
except NameError:
  pass               # Python 3

# Chaos Machine (K, t, m)
K = [0.33, 0.44, 0.55, 0.44, 0.33]; t = 3; m = 5

# Buffer Space (with Parameters Space)
buffer_space, params_space = [], []

# Machine Time
machine_time = 0

def push(seed):
  global buffer_space, params_space, machine_time, \
    K, m, t

  # Choosing Dynamical Systems (All)
  for key, value in enumerate(buffer_space):
    # Evolution Parameter
    e = float(seed / value)

    # Control Theory: Orbit Change
    value = (buffer_space[(key + 1) % m] + e) % 1

    # Control Theory: Trajectory Change
    r = (params_space[key] + e) % 1 + 3

    # Modification (Transition Function) - Jumps
    buffer_space[key] = \
      round(float(r * value * (1 - value)), 10)
    params_space[key] = \
      r # Saving to Parameters Space

  # Logistic Map
  assert max(buffer_space) < 1
  assert max(params_space) < 4

  # Machine Time
  machine_time += 1

def pull():
  global buffer_space, params_space, machine_time, \
    K, m, t

  # PRNG (Xorshift by George Marsaglia)
  def xorshift(X, Y):
    X ^= Y >> 13
    Y ^= X << 17
    X ^= Y >> 5
    return X

  # Choosing Dynamical Systems (Increment)
  key = machine_time % m

  # Evolution (Time Length)
  for i in range(0, t):
    # Variables (Position + Parameters)
    r     = params_space[key]
    value = buffer_space[key]

    # Modification (Transition Function) - Flow
    buffer_space[key] = \
      round(float(r * value * (1 - value)), 10)
    params_space[key] = \
      (machine_time * 0.01 + r * 1.01) % 1 + 3

  # Choosing Chaotic Data
  X = int(buffer_space[(key + 2) % m] * (10 ** 10))
  Y = int(buffer_space[(key - 2) % m] * (10 ** 10))

  # Machine Time
  machine_time += 1

  return xorshift(X, Y) % 0xFFFFFFFF

def reset():
  global buffer_space, params_space, machine_time, \
    K, m, t

  buffer_space = K; params_space = [0] * m
  machine_time = 0

#######################################

# Initialization
reset()

# Pushing Data (Input)
import random
message = random.sample(range(0xFFFFFFFF), 100)
for chunk in message:
  push(chunk)

# for controlling 
inp = ""

# Pulling Data (Output)
while inp in ("e", "E"):
  print("%s" % format(pull(), '#04x'))
  print(buffer_space); print(params_space)
  inp = input("(e)exit? ").strip()