AStar网格算法只能处理方形网格吗?
创始人
2024-09-20 19:30:36
0

A网格算法并不仅限于处理方形网格,它也可以用于处理矩形或非方形的网格。下面是一个示例代码,展示了如何使用A算法处理非方形网格。

import heapq

class Node:
    def __init__(self, x, y, cost=0):
        self.x = x
        self.y = y
        self.cost = cost
        self.heuristic = 0
        self.parent = None

    def __lt__(self, other):
        return self.cost + self.heuristic < other.cost + other.heuristic

def heuristic(node, goal):
    return abs(node.x - goal.x) + abs(node.y - goal.y)

def astar(grid, start, goal):
    open_list = []
    closed_list = set()

    start.heuristic = heuristic(start, goal)
    heapq.heappush(open_list, start)

    while open_list:
        current = heapq.heappop(open_list)
        if current.x == goal.x and current.y == goal.y:
            path = []
            while current:
                path.append((current.x, current.y))
                current = current.parent
            return path[::-1]

        for neighbor in neighbors(grid, current):
            if neighbor in closed_list:
                continue

            cost = current.cost + 1
            if neighbor not in open_list or cost < neighbor.cost:
                neighbor.cost = cost
                neighbor.heuristic = heuristic(neighbor, goal)
                neighbor.parent = current

                if neighbor not in open_list:
                    heapq.heappush(open_list, neighbor)
        
        closed_list.add(current)

    return None

def neighbors(grid, node):
    neighbors = []
    x, y = node.x, node.y

    if x > 0 and grid[x-1][y] != 1:
        neighbors.append(Node(x-1, y))
    if x < len(grid)-1 and grid[x+1][y] != 1:
        neighbors.append(Node(x+1, y))
    if y > 0 and grid[x][y-1] != 1:
        neighbors.append(Node(x, y-1))
    if y < len(grid[0])-1 and grid[x][y+1] != 1:
        neighbors.append(Node(x, y+1))

    return neighbors

# 示例网格
grid = [
    [0, 0, 0, 0, 0],
    [0, 1, 1, 0, 0],
    [0, 0, 0, 0, 0],
    [0, 0, 1, 1, 0],
    [0, 0, 0, 0, 0]
]

start = Node(0, 0)
goal = Node(4, 4)

path = astar(grid, start, goal)
if path:
    print("路径:", path)
else:
    print("无法找到路径")

以上代码演示了如何使用A算法处理一个非方形网格。在示例中,我们定义了一个Node类来表示网格上的节点,astar函数用于执行A算法搜索路径。heuristic函数计算节点与目标节点之间的启发式估计值。neighbors函数用于获取一个节点的邻居节点。最后,我们使用一个示例网格和起点、终点来演示路径搜索的过程。

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