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2048游戏核心逻辑
"""
import numpy as np
from typing import Tuple, Optional
import random
class Game2048:
"""2048游戏核心类"""
# 动作定义
UP = 0
DOWN = 1
LEFT = 2
RIGHT = 3
def __init__(self):
self.board: np.ndarray = np.zeros((4, 4), dtype=np.int64)
self.accumulated_score: int = 0
self.situational_score: float = 0.0
self.game_over: bool = False
self.moves_count: int = 0
self.reset()
def reset(self) -> np.ndarray:
"""重置游戏,返回初始状态"""
self.board = np.zeros((4, 4), dtype=np.int64)
self.accumulated_score = 0
self.situational_score = 0.0
self.game_over = False
self.moves_count = 0
# 开局生成一个2
self._spawn_tile(value=2)
self._update_situational_score()
return self.get_state()
def _spawn_tile(self, value: Optional[int] = None) -> bool:
"""
在空格生成新砖块
开局时value=2,后续随机2或4
返回是否成功生成
"""
empty_cells = list(zip(*np.where(self.board == 0)))
if not empty_cells:
return False
row, col = random.choice(empty_cells)
if value is None:
# 90%概率生成2,10%概率生成4
value = 2 if random.random() < 0.9 else 4
self.board[row, col] = value
return True
def _compress(self, line: np.ndarray) -> Tuple[np.ndarray, int]:
"""
压缩一行/列,将非零元素移到一端
返回压缩后的行和合并得分
"""
# 移除零,填充到末尾
non_zero = line[line != 0]
new_line = np.zeros_like(line)
score = 0
pos = 0
i = 0
while i < len(non_zero):
if i + 1 < len(non_zero) and non_zero[i] == non_zero[i + 1]:
# 合并
new_line[pos] = non_zero[i] * 2
score += new_line[pos]
i += 2
else:
new_line[pos] = non_zero[i]
i += 1
pos += 1
return new_line, score
def _move_left(self) -> Tuple[bool, int]:
"""向左移动,返回(是否移动, 得分)"""
moved = False
total_score = 0
for i in range(4):
original = self.board[i].copy()
new_line, score = self._compress(self.board[i])
self.board[i] = new_line
total_score += score
if not np.array_equal(original, new_line):
moved = True
return moved, total_score
def _move_right(self) -> Tuple[bool, int]:
"""向右移动"""
moved = False
total_score = 0
for i in range(4):
original = self.board[i].copy()
new_line, score = self._compress(self.board[i][::-1])
self.board[i] = new_line[::-1]
total_score += score
if not np.array_equal(original, self.board[i]):
moved = True
return moved, total_score
def _move_up(self) -> Tuple[bool, int]:
"""向上移动"""
moved = False
total_score = 0
for j in range(4):
original = self.board[:, j].copy()
new_line, score = self._compress(self.board[:, j])
self.board[:, j] = new_line
total_score += score
if not np.array_equal(original, new_line):
moved = True
return moved, total_score
def _move_down(self) -> Tuple[bool, int]:
"""向下移动"""
moved = False
total_score = 0
for j in range(4):
original = self.board[:, j].copy()
new_line, score = self._compress(self.board[:, j][::-1])
self.board[:, j] = new_line[::-1]
total_score += score
if not np.array_equal(original, self.board[:, j]):
moved = True
return moved, total_score
def move(self, direction: int) -> Tuple[np.ndarray, float, bool, bool]:
"""
执行移动
Args:
direction: 0=上, 1=下, 2=左, 3=右
Returns:
state: 新状态
reward: 奖励(累积分数增量 + 局面分数变化)
moved: 是否成功移动
done: 游戏是否结束
"""
if self.game_over:
return self.get_state(), 0.0, False, True
old_accumulated = self.accumulated_score
old_situational = self.situational_score
# 执行移动
if direction == self.UP:
moved, score = self._move_up()
elif direction == self.DOWN:
moved, score = self._move_down()
elif direction == self.LEFT:
moved, score = self._move_left()
elif direction == self.RIGHT:
moved, score = self._move_right()
else:
raise ValueError(f"Invalid direction: {direction}")
if moved:
self.accumulated_score += score
self.moves_count += 1
self._spawn_tile()
self._update_situational_score()
# 检查游戏是否结束
self.game_over = self._check_game_over()
# 计算奖励
accumulated_delta = self.accumulated_score - old_accumulated
situational_delta = self.situational_score - old_situational
# 奖励 = 局面分数变化 * 0.7 + 累积分数增量 * 0.3 / 100 (归一化)
reward = situational_delta * 0.7 + accumulated_delta * 0.003
# 游戏结束惩罚
if self.game_over:
reward -= 10.0
return self.get_state(), reward, moved, self.game_over
def _check_game_over(self) -> bool:
"""检查游戏是否结束"""
# 还有空格
if np.any(self.board == 0):
return False
# 检查是否还能合并
for i in range(4):
for j in range(4):
if i < 3 and self.board[i, j] == self.board[i + 1, j]:
return False
if j < 3 and self.board[i, j] == self.board[i, j + 1]:
return False
return True
def _update_situational_score(self) -> None:
"""
更新局面分数
局面分数 = 空格数 * 10 + 最大连续相邻数 * 15 + log2(最大数字) * 5 + 单调性奖励
"""
empty_cells = np.sum(self.board == 0)
# 计算最大连续相邻数字
max_consecutive = self._calculate_max_consecutive()
# 最高数字的对数
max_tile = np.max(self.board)
max_tile_log = np.log2(max_tile) if max_tile > 0 else 0
# 单调性评估(鼓励数字按方向排列)
monotonicity = self._calculate_monotonicity()
# 局面分数
self.situational_score = (
empty_cells * 10 +
max_consecutive * 15 +
max_tile_log * 5 +
monotonicity * 5
)
def _calculate_max_consecutive(self) -> int:
"""
计算最大连续相邻数字数量
相邻砖块拥有相邻数字,如512 1024 2048为3
"""
max_count = 0
# 检查所有行
for i in range(4):
count = self._count_consecutive_in_line(self.board[i])
max_count = max(max_count, count)
# 检查所有列
for j in range(4):
count = self._count_consecutive_in_line(self.board[:, j])
max_count = max(max_count, count)
return max_count
def _count_consecutive_in_line(self, line: np.ndarray) -> int:
"""计算一行/列中的最大连续相邻数字"""
non_zero = line[line != 0]
if len(non_zero) < 2:
return 0
max_count = 1
current_count = 1
for i in range(1, len(non_zero)):
# 相邻数字:2的幂次相邻
if abs(np.log2(non_zero[i]) - np.log2(non_zero[i-1])) == 1:
current_count += 1
max_count = max(max_count, current_count)
else:
current_count = 1
return max_count
def _calculate_monotonicity(self) -> float:
"""
计算单调性
鼓励数字在行/列上递增或递减
"""
score = 0.0
# 行单调性
for i in range(4):
row = self.board[i]
row = row[row != 0]
if len(row) >= 2:
# 检查递增
if all(row[i] <= row[i+1] for i in range(len(row)-1)):
score += len(row) - 1
# 检查递减
elif all(row[i] >= row[i+1] for i in range(len(row)-1)):
score += len(row) - 1
# 列单调性
for j in range(4):
col = self.board[:, j]
col = col[col != 0]
if len(col) >= 2:
if all(col[i] <= col[i+1] for i in range(len(col)-1)):
score += len(col) - 1
elif all(col[i] >= col[i+1] for i in range(len(col)-1)):
score += len(col) - 1
return score
def get_state(self) -> np.ndarray:
"""
获取当前状态表示
返回: (4, 4) 棋盘,值为log2(value),空格为0
"""
state = np.zeros((4, 4), dtype=np.float32)
non_zero_mask = self.board > 0
state[non_zero_mask] = np.log2(self.board[non_zero_mask])
return state
def get_state_with_scores(self) -> np.ndarray:
"""
获取带分数的状态表示
返回: (18,) 包含16个棋盘位置 + 2个分数
"""
board_state = self.get_state().flatten()
# 归一化分数
max_accumulated = 50000 # 假设最大累积分数
max_situational = 200 # 假设最大局面分数
normalized_accumulated = min(self.accumulated_score / max_accumulated, 1.0)
normalized_situational = min(self.situational_score / max_situational, 1.0)
return np.concatenate([
board_state / 15.0, # 归一化到 [0, 1],最大2048 = log2(2048) = 11
[normalized_accumulated, normalized_situational]
]).astype(np.float32)
def get_valid_actions(self) -> np.ndarray:
"""获取当前可执行的动作"""
valid = np.zeros(4, dtype=bool)
# 临时保存状态
old_board = self.board.copy()
old_accumulated = self.accumulated_score
for direction in range(4):
if direction == self.UP:
moved, _ = self._move_up()
elif direction == self.DOWN:
moved, _ = self._move_down()
elif direction == self.LEFT:
moved, _ = self._move_left()
else:
moved, _ = self._move_right()
valid[direction] = moved
self.board = old_board.copy()
self.accumulated_score = old_accumulated
return valid
def get_max_tile(self) -> int:
"""获取最大砖块值"""
return int(np.max(self.board))
def get_empty_cells_count(self) -> int:
"""获取空格数量"""
return int(np.sum(self.board == 0))
def __str__(self) -> str:
"""字符串表示"""
result = []
for row in self.board:
result.append(" | ".join(f"{int(x):4d}" if x > 0 else " ." for x in row))
return "\n".join(result)
if __name__ == "__main__":
# 测试游戏
game = Game2048()
print("Initial state:")
print(game)
print(f"Accumulated score: {game.accumulated_score}")
print(f"Situational score: {game.situational_score}")
# 测试一些移动
moves = ['UP', 'LEFT', 'DOWN', 'RIGHT']
for i in range(10):
direction = i % 4
state, reward, moved, done = game.move(direction)
print(f"\nMove {moves[direction]}: moved={moved}, done={done}")
print(game)
print(f"Reward: {reward:.2f}")
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