"""example of simple chaos machine""" # 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: list[float] = [] params_space: list[float] = [] # 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 if __name__ == "__main__": # 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()