a算法和路径查找a算法是同一种算法。a*算法是一种基于贪心的寻路算法,其核心思想是尽可能地沿着最短路径前进,同时考虑到启发式函数的估值,以达到更加高效的寻路目的。
例如,下面的示例展示了一种简单的a*算法实现:
def heuristic_cost_estimate(start, goal):
# 计算启发式函数的估值
return abs(start[0] - goal[0]) + abs(start[1] - goal[1])
def reconstruct_path(came_from, current):
# 通过反向追溯映射表,重新构建路径
path = [current]
while current in came_from:
current = came_from[current]
path.append(current)
return path[::-1]
def a_star(start, goal, neighbor_nodes, distance, heuristic_cost_estimate):
# 初始化数据结构
closed_set = set()
open_set = set([start])
came_from = {}
g_score = {start: 0}
f_score = {start: heuristic_cost_estimate(start, goal)}
while open_set:
# 选择当前fscore最小的点,作为下一个扩展的点
current = min(open_set, key=lambda o: f_score[o])
# 如果当前点是目标点,那么返回查询过程中的路径
if current == goal:
return reconstruct_path(came_from, goal)
open_set.remove(current)
closed_set.add(current)
# 扩展当前点邻居节点
for neighbor in neighbor_nodes(current):
if neighbor in closed_set:
continue
g = g_score[current] + distance(current, neighbor)
if neighbor not in open_set:
open_set.add(neighbor)
elif g >= g_score[neighbor]:
continue
# 更新映射表
came_from[neighbor] = current
g_score[neighbor] = g