import numpy as np from numpy.random import uniform float_formatter = "{:.3f}".format np.set_printoptions(formatter={'float_kind': float_formatter}) def softmax(values: np.array, eps=1.0E-6) -> np.array: result = (values + eps) / (sum(values + eps)) return result def sample(values: np.array, with_debug=False): # Normalize and sort probs = softmax(values) sorted_indices = np.argsort(probs) sorted_probs = probs[sorted_indices] z = uniform() if with_debug: print(f"Probs={probs}") print(f"Z={z:.3f}") index = None p_sum = 0 for idx, p in enumerate(sorted_probs): p_sum += p if z <= p_sum: index = sorted_indices[idx] break return index def test_sample(data): p = np.array(data) c = np.array([0]*len(data)) for i in range(0, 1000): index = sample(p, with_debug=False) c[index] += 1 print(c) def to_state_string(state, state_nex=None): sp = ' ' sp_arrow = ' => ' sp_ = [sp, sp_arrow, sp] def col(str_in, state): str_out = str_in for c in range(0, 3): char = state[3*r+c] if char == '-': char = ' ' str_out += "|" + char str_out += '|' return str_out state_str = '' for r in range(0, 3): state_str = col(state_str, state) if state_nex is not None: state_str += sp_[r] state_str = col(state_str, state_nex) if r != 2: state_str += '\x0A' return state_str class APlayer(object): def __init__(self, mark): self.mark = mark self.state = None self.state_opp = None self.state_last = None def move(self, state): return state, False def has_won(self, state): ref = self.mark + self.mark + self.mark substr = state[0:3] if substr in ref: return True substr = state[3:6] if substr in ref: return True substr = state[6:9] if substr in ref: return True substr = state[0:9:3] if substr in ref: return True substr = state[1:9:3] if substr in ref: return True substr = state[2:9:3] if substr in ref: return True substr = state[0:9:4] if substr in ref: return True substr = state[6:0:-2] if substr in ref: return True return False class MachinePlayer(APlayer): def __init__(self, mark='X', with_debug=False, values=None): APlayer.__init__(self, mark) self.p_exp = 0.2 self.alpha = 0.9 self.with_debug = with_debug if values is None: self.values = {} else: self.values = values def get_value(self, state): try: result = self.values[state] except KeyError: result = 0 return result def set_value(self, state, value): self.values[state] = value def reward(self, value): self.set_value(self.state_last, value) @staticmethod def get_potential_moves(state) -> np.array: indices = [idx for idx, s in enumerate(state) if '-' in s] return np.array(indices) def move(self, state): values = np.array([]) # get possible move moves = self.get_potential_moves(state) can_move = moves.size > 0 self.state_opp = state if can_move: for move in moves: # create hypothetical next state state_next = self.state_from_move(state, move) # evaluate value value = self.get_value(state_next) values = np.append(values, value) is_exp = False if uniform() < self.p_exp: is_exp = True index = np.random.randint(len(moves)) else: index = sample(values) move = moves[index] if self.with_debug: print(f"{self.mark}: Values = {values}") print(f"{self.mark}: Moves = {moves+1}") print(f"{self.mark}: Move = {move+1}, is_exp={is_exp}") self.state_last = self.state self.state = self.state_from_move(state, move) # Learn if not is_exp: v0 = self.get_value(self.state_last) v1 = self.get_value(self.state) d = max(0, v1-v0) if d > 0: self.set_value(self.state_last, self.alpha*d) if self.with_debug: print(f"{self.mark}: Learned {d:0.3f}") return self.state, can_move def state_from_move(self, state, field): return state[:field] + self.mark + state[field + 1:] class PlayerProvider: def __init__(self, p1: APlayer, p2: APlayer): self.p1 = p1 self.p2 = p2 def choose_player(player_provider: PlayerProvider) -> list[APlayer]: # Wer fängt an? p1 = player_provider.p1 p2 = player_provider.p2 if uniform() < 0.5: result = [p1, p2] else: result = [p2, p1] return result def play(player_provider: PlayerProvider, k_max=10000, with_print=False): for k in range(0, k_max): players = choose_player(player_provider) state = "---------" move = 1 run = True while run: for player in players: if with_print: print(f"---------------------------------------------------") print(f"- Game {k:06d}, Move {move} -----------------------------") print(f"---------------------------------------------------") last_state = state state, has_moved = player.move(state) if with_print: print(to_state_string(last_state, state)) if not has_moved: if with_print: print(f"{player.mark}: No more moves") run = False if player.has_won(state): if with_print: print(f"{player.mark}: Has won the game") if isinstance(player, MachinePlayer): player.reward(1.0) run = False if not run: break move += 1 px = MachinePlayer(mark='X', with_debug=False) po = MachinePlayer(mark='O', with_debug=False) do_training = 1 if do_training: players = PlayerProvider(px, po) play(players, 20000, False) players = PlayerProvider(MachinePlayer(mark='X', with_debug=True, values=px.values), MachinePlayer(mark='O', with_debug=True, values=po.values)) play(players, 100, True) print("Testing") test_sample([0.7, 0.1, 0.1, 0.1]) test_sample([0.1, 0.1, 0.2, 0.1]) test_sample([0.2, 0.8]) test_sample([0.1, 0.1]) test_sample([0.3, 0.0, 0.2, 0.0]) test_sample([0.0, 0.0, 0.0, 0.0]) test_sample([0.5, 0.0, 0.2, 0.3]) test_sample([0.3, 0.1, 0.4, 0.2])