#!/usr/bin/env python3 # -*- coding: utf-8 -*- """ @author: huiming zhou """ import queue import plotting import env class Astar: def __init__(self, x_start, x_goal, heuristic_type): self.xI, self.xG = x_start, x_goal self.Env = env.Env() # class Env self.plotting = plotting.Plotting(self.xI, self.xG) # class Plotting self.u_set = self.Env.motions # feasible input set self.obs = self.Env.obs # position of obstacles [self.path, self.policy, self.visited] = self.searching(self.xI, self.xG, heuristic_type) self.fig_name = "A* Algorithm" self.plotting.animation(self.path, self.visited, self.fig_name) # animation generate def searching(self, xI, xG, heuristic_type): """ Searching using A_star. :return: planning path, action in each node, visited nodes in the planning process """ q_astar = queue.QueuePrior() # priority queue q_astar.put(xI, 0) parent = {xI: xI} # record parents of nodes action = {xI: (0, 0)} # record actions of nodes visited = [] cost = {xI: 0} while not q_astar.empty(): x_current = q_astar.get() if x_current == xG: # stop condition break visited.append(x_current) for u_next in self.u_set: # explore neighborhoods of current node x_next = tuple([x_current[i] + u_next[i] for i in range(len(x_current))]) if x_next not in self.obs: new_cost = cost[x_current] + self.get_cost(x_current, u_next) if x_next not in cost or new_cost < cost[x_next]: # conditions for updating cost cost[x_next] = new_cost priority = new_cost + self.Heuristic(x_next, xG, heuristic_type) q_astar.put(x_next, priority) # put node into queue using priority "f+h" parent[x_next], action[x_next] = x_current, u_next [path, policy] = self.extract_path(xI, xG, parent, action) return path, policy, visited def extract_path(self, xI, xG, parent, policy): """ Extract the path based on the relationship of nodes. :param xI: Starting node :param xG: Goal node :param parent: Relationship between nodes :param policy: Action needed for transfer between two nodes :return: The planning path """ path_back = [xG] acts_back = [policy[xG]] x_current = xG while True: x_current = parent[x_current] path_back.append(x_current) acts_back.append(policy[x_current]) if x_current == xI: break return list(path_back), list(acts_back) def get_cost(self, x, u): """ Calculate cost for this motion :param x: current node :param u: input :return: cost for this motion :note: cost function could be more complicate! """ return 1 def Heuristic(self, state, goal, heuristic_type): """ Calculate heuristic. :param state: current node (state) :param goal: goal node (state) :param heuristic_type: choosing different heuristic functions :return: heuristic """ if heuristic_type == "manhattan": return abs(goal[0] - state[0]) + abs(goal[1] - state[1]) elif heuristic_type == "euclidean": return ((goal[0] - state[0]) ** 2 + (goal[1] - state[1]) ** 2) ** (1 / 2) else: print("Please choose right heuristic type!") if __name__ == '__main__': x_Start = (5, 5) # Starting node x_Goal = (49, 5) # Goal node astar = Astar(x_Start, x_Goal, "manhattan")