From f36f066a6054befbc3efef1bdcc4310a73e4726a Mon Sep 17 00:00:00 2001 From: zhuliquan Date: Wed, 4 Jul 2018 21:38:31 +0800 Subject: [PATCH] complete human vs ai(minimax search) code --- .gitignore | 1 + README.md | 29 ++++++ __pycache__/game.cpython-36.pyc | Bin 0 -> 4934 bytes __pycache__/human.cpython-36.pyc | Bin 0 -> 1241 bytes __pycache__/minimax.cpython-36.pyc | Bin 0 -> 3334 bytes game.py | 152 +++++++++++++++++++++++++++++ human.py | 33 +++++++ minimax.py | 126 ++++++++++++++++++++++++ reference/ai_minimax.ppt | Bin 0 -> 438272 bytes run_tictactoe.py | 36 +++++++ 10 files changed, 377 insertions(+) create mode 100644 .gitignore create mode 100644 README.md create mode 100644 __pycache__/game.cpython-36.pyc create mode 100644 __pycache__/human.cpython-36.pyc create mode 100644 __pycache__/minimax.cpython-36.pyc create mode 100644 game.py create mode 100644 human.py create mode 100644 minimax.py create mode 100644 reference/ai_minimax.ppt create mode 100644 run_tictactoe.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..9f11b75 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.idea/ diff --git a/README.md b/README.md new file mode 100644 index 0000000..295dc21 --- /dev/null +++ b/README.md @@ -0,0 +1,29 @@ +# 项目说明 + +> 这是一个使用python实现的`MiniMax`搜索玩TicTacToe游戏, +这里主要参考了一篇[MiniMax的博文](https://blog.csdn.net/wldgg/article/details/50132923) + +## 文件说明 + +项目中有四个文件 +- game.py +- human.py +- minimax.py +- run_tictactoe.py +--- +>比较重要的是game.py 和 minimax.py 文件。在game.py 中主要包含状态类State 和 游戏类Game +在minimax.py 中主要包含搜索树的节点类Node和搜索树类MiniMax AlphaBeta + +## 运行程序 +如果你想ai玩这个游戏你可以运行run_tictactoe.py这个文件。 +``` +python run_tictactoe.py +``` + +## 运行条件 +- python 3.6.5 +- numpy 1.13.3 +- pandas 0.22.0 + +## 参考 +[minimax搜索的ppt](./reference/ai_minimax.ppt) diff --git a/__pycache__/game.cpython-36.pyc b/__pycache__/game.cpython-36.pyc new file mode 100644 index 0000000000000000000000000000000000000000..44b456a21d2e330711fd83092be3a80590b2d074 GIT binary patch literal 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+# author : Administrator +# date : 2018/6/26 +import numpy as np +player_o = 1 +player_x = -1 + + +def get_opponent(player): + """ + 返回对手 + :param player: 玩家 + :return: 返回输入玩家的对手 + """ + opponent = player_o if player == player_x else player_x + return opponent + + +class State: + + def __init__(self, board, player): + self.board = board.copy() + self.player = player + + def __eq__(self, other): + if (self.board == other.board).all() and self.player == other.player: + return True + else: + return False + + def get_available_actions(self): + """ + 感觉状态的局面返回可以落子的位置,这些位置称之为动作 + :return: 可行的动作 + """ + space = np.where(self.board == 0) + coordinate = zip(space[0], space[1]) + available_actions = [(i, j) for i, j in coordinate] + return available_actions + + def get_state_result(self): + """ + 返回状态对应局面的结果 + 如果游戏是已经结束了 is_over = True 如果没有 is_over = False, winner = None + 如果游戏已经结束可以分为三种结果: x 的胜利, o 的胜利, 平局 + winner 可以取[x,o,None]这三种情况 + :return: 返回一个元组(is_over, winner) + """ + board = self.board + sum_row = np.sum(board, 0) + sum_col = np.sum(board, 1) + diag_sum_tl = board.trace() + diag_sum_tr = np.fliplr(board).trace() + + n = self.board.shape[0] + if (sum_row == n).any() or (sum_col == n).any() or diag_sum_tl == n or diag_sum_tr == n: + is_over, winner = True, player_o + elif (sum_row == -n).any() or (sum_col == -n).any() or diag_sum_tl == -n or diag_sum_tr == -n: + is_over, winner = True, player_x + elif (board != 0).all(): + is_over, winner = True, None + else: + is_over, winner = False, None + + return is_over, winner + + def get_next_state(self, action): + """ + 根据动作返回一个新的状态 + :param action: 动作 + :return: 新的状态 + """ + next_board = self.board.copy() + next_board[action] = self.player + next_player = get_opponent(self.player) + next_state = State(next_board, next_player) + return next_state + + +class Game: + start_player = player_o + game_size = 3 + + def __init__(self, state=None): + if state: + if state.board.shape[0] != Game.game_size: + raise Exception("用于初始化的棋盘尺寸不对") + + board = state.board + player = state.player + else: + board = np.zeros((Game.game_size, Game.game_size), dtype=np.int32) + player = Game.start_player + self.state = State(board, player) + + def reset(self, state=None): + """ + 初始化游戏局面 + 可以默认初始化,也可以使用外界的状态进行初始化 + :param state: None 表示默认初始化,其他情况是利用外界状态初始化 + """ + if state: + if state.board.shape[0] != Game.game_size: + raise Exception("用于初始化的棋盘尺寸不对") + board = state.board + player = state.player + self.state = State(board, player) + else: + self.state.board = np.zeros((Game.game_size, Game.game_size), dtype=np.int32) + self.state.player = Game.start_player + return self.state + + def step(self, action): + """ + 在局面上采取动作,采取动作会修改游戏的当前状态 + :param action: 在局面可以落子的位置 + :return: 新的状态 + """ + if action: + self.state = self.state.get_next_state(action) + return self.state + + def game_result(self): + """ + 采取动作后返回游戏的结果 + :return: tuple (is_over, winner) + """ + return self.state.get_state_result() + + def render(self, board=None): + """ + 渲染当前的局面和使用外界的局面去渲染 + :param board: None 表示使用自己的局面进行渲染,其他情况是使用外界的局面进行渲染 + :return: + """ + if board: + if board.shape[0] != Game.game_size: + raise Exception("用于初始化的棋盘尺寸不对") + else: + board = self.state.board + + for i in range(Game.game_size): + for j in range(Game.game_size): + if board[i, j] == player_x: + print(" x ", end="") + elif board[i, j] == player_o: + print(" o ", end="") + else: + print(" . ", end="") + print() + diff --git a/human.py b/human.py new file mode 100644 index 0000000..e237a90 --- /dev/null +++ b/human.py @@ -0,0 +1,33 @@ +#!/usr/bin/env python3 +# -*- coding:utf-8 -*- +# author : Administrator +# date : 2018/6/29 + + +class Human: + def __init__(self): + pass + + def __str__(self): + return "human" + + def take_action(self, current_state): + """ + 人类玩家采取动作 + :param current_state: 当前的状态 + :return: 最优动作 + """ + while True: + while True: + command = input("以 i,j 形式输入你的落子,例如1,2:") + try: + i, j = [int(index) for index in command.split(",")] + break + except: + print("输入格式不对,请从新输入") + action = i, j + if action not in current_state.get_available_actions(): + print("输入的位置有问题,请从新输入") + else: + break + return action diff --git a/minimax.py b/minimax.py new file mode 100644 index 0000000..3555842 --- /dev/null +++ b/minimax.py @@ -0,0 +1,126 @@ +#!/usr/bin/env python3 +# -*- coding:utf-8 -*- +# author : Administrator +# date : 2018/6/26 +import numpy as np +import pandas as pd +from game import State +from game import get_opponent +from typing import Tuple + + + +class MiniMax: + + def __init__(self): + pass + + def __str__(self): + return "minimax ai" + + def take_action(self, current_state: State): + + def recurse(state: State) -> Tuple[int, object]: + """ + 根据当前状态返回一个当前最佳效应和所对应的动作 + :param state: 当前的状态 + :return: 返回一个元组 (utility action) + """ + is_over, winner = state.get_state_result() + if is_over: + if winner == state.player: + return 1, None + elif winner == get_opponent(state.player): + return -1, None + else: + return 0, None + + available_actions = state.get_available_actions() + values = [- recurse(state.get_next_state(action))[0] for action in available_actions] + kws = pd.Series(data=values, index=available_actions) + action = kws.idxmax() + return kws[action], action + + _, action = recurse(current_state) + return action + + + +class AlphaBeta: + + def __init__(self): + pass + + def __str__(self): + return "minimax ai with alpha-beta purning" + + def take_action(self, current_state: State): + ### 这个问题比较特殊可以这样剪枝 + # def recurse(state: State) -> Tuple[int, object]: + # """ + # 根据当前状态返回一个当前最佳效应和所对应的动作 + # :param state: 当前的状态 + # :return: 返回一个元组 (utility action) + # """ + # is_over, winner = state.get_state_result() + # if is_over: + # if winner == state.player: + # return 1, None + # elif winner == get_opponent(state.player): + # return -1, None + # else: + # return 0, None + # available_actions = state.get_available_actions() + # final_value = -1 + # final_action = available_actions[0] + # for action in available_actions: + # value = - recurse(state.get_next_state(action))[0] # 由于下手是对手对于我的利益是负数 + # if value == 1: # 如果是已经可以胜利则返回 + # final_value, final_action = value, action + # break + # elif value == 0: # 如果是平局则有待观察 + # final_value, final_action = value, action + # return final_value, final_action + # + ### 更加一般化alpha-beta剪枝 + + self.player = current_state.player + def recurse(state: State, alpha, beta) -> Tuple[int, object]: + """ + 根据当前状态返回一个当前最佳效应和所对应的动作 + :param state: 当前的状态 + :param alpha: 到当前状态的最开始玩家的收益下界 + :param beta: 到结束状态的最对手玩家的收益上界 + :return: 返回一个元组 (utility action) + """ + is_over, winner = state.get_state_result() + if is_over: + if winner == self.player: + return 1, None + elif winner == get_opponent(self.player): + return -1, None + else: + return 0, None + + available_actions = state.get_available_actions() + if state.player == self.player: + max_value = (float("-inf"), None) + for action in available_actions: + max_value = max(max_value, (recurse(state.get_next_state(action), alpha, beta)[0], action)) + alpha = max(alpha, max_value[0]) + if beta <= alpha: + break + return max_value + elif state.player == get_opponent(self.player): + min_value = (float("inf"), None) + for action in available_actions: + min_value = min(min_value, (recurse(state.get_next_state(action), alpha, beta)[0], action)) + beta = min(beta, min_value[0]) + if beta <= alpha: + break + return min_value 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