迷宫问题的A*算法(python实现)
时间: 2023-12-04 21:03:54 浏览: 15
好的,这个问题可以回答。以下是一份简单的Python实现:
```
class Node:
def __init__(self, position, parent=None):
self.position = position
self.g = 0
self.h = 0
self.f = 0
self.parent = parent
def __eq__(self, other):
return self.position == other.position
def astar(maze, start, end):
start_node = Node(start)
end_node = Node(end)
open_list = [start_node]
closed_list = []
while open_list:
current_node = open_list[0]
current_index = 0
for index, item in enumerate(open_list):
if item.f < current_node.f:
current_node = item
current_index = index
open_list.pop(current_index)
closed_list.append(current_node)
if current_node == end_node:
path = []
current = current_node
while current is not None:
path.append(current.position)
current = current.parent
return path[::-1]
neighbors = []
for new_position in [(0, -1), (0, 1), (-1, 0), (1, 0)]:
node_position = (current_node.position[0] + new_position[0], current_node.position[1] + new_position[1])
if node_position[0] > (len(maze) - 1) or node_position[0] < 0 or node_position[1] > (len(maze[len(maze)-1]) -1) or node_position[1] < 0:
continue
if maze[node_position[0]][node_position[1]] != 0:
continue
new_node = Node(node_position, current_node)
neighbors.append(new_node)
for neighbor in neighbors:
if neighbor in closed_list:
continue
neighbor.g = current_node.g + 1
neighbor.h = ((neighbor.position[0] - end_node.position[0]) ** 2) + ((neighbor.position[1] - end_node.position[1]) ** 2)
neighbor.f = neighbor.g + neighbor.h
if neighbor in open_list:
if neighbor.g > item.g:
continue
open_list.append(neighbor)
return None
```
它实现了A*算法来解决迷宫问题。你可以将迷宫表示为2D列表,其中每个元素可以是0(表示该位置可以通过)或1(表示该位置是障碍),然后调用此函数来计算从起点到终点的最短路径。