""" Bidirectional_a_star 2D @author: huiming zhou """ import os import sys sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Search-based Planning/") from Search_2D import queue from Search_2D import plotting from Search_2D import env class BidirectionalAstar: def __init__(self, x_start, x_goal, heuristic_type): self.xI, self.xG = x_start, x_goal self.heuristic_type = heuristic_type self.Env = env.Env() # class Env self.u_set = self.Env.motions # feasible input set self.obs = self.Env.obs # position of obstacles self.g_fore = {self.xI: 0, self.xG: float("inf")} # cost to come: from x_start self.g_back = {self.xG: 0, self.xI: float("inf")} # cost to come: form x_goal self.OPEN_fore = queue.QueuePrior() # U set for foreward searching self.OPEN_fore.put(self.xI, self.g_fore[self.xI] + self.h(self.xI, self.xG)) self.OPEN_back = queue.QueuePrior() # U set for backward searching self.OPEN_back.put(self.xG, self.g_back[self.xG] + self.h(self.xG, self.xI)) self.CLOSED_fore = [] # CLOSED set for foreward self.CLOSED_back = [] # CLOSED set for backward self.PARENT_fore = {self.xI: self.xI} self.PARENT_back = {self.xG: self.xG} def searching(self): s_meet = self.xI while not self.OPEN_fore.empty() and not self.OPEN_back.empty(): # solve foreward-search s_fore = self.OPEN_fore.get() if s_fore in self.PARENT_back: s_meet = s_fore break self.CLOSED_fore.append(s_fore) for u in self.u_set: s_next = tuple([s_fore[i] + u[i] for i in range(2)]) if s_next not in self.obs: new_cost = self.g_fore[s_fore] + self.get_cost(s_fore, u) if s_next not in self.g_fore: self.g_fore[s_next] = float("inf") if new_cost < self.g_fore[s_next]: self.g_fore[s_next] = new_cost self.PARENT_fore[s_next] = s_fore self.OPEN_fore.put(s_next, new_cost + self.h(s_next, self.xG)) # solve backward-search s_back = self.OPEN_back.get() if s_back in self.PARENT_fore: s_meet = s_back break self.CLOSED_back.append(s_back) for u in self.u_set: s_next = tuple([s_back[i] + u[i] for i in range(len(s_back))]) if s_next not in self.obs: new_cost = self.g_back[s_back] + self.get_cost(s_back, u) if s_next not in self.g_back: self.g_back[s_next] = float("inf") if new_cost < self.g_back[s_next]: self.g_back[s_next] = new_cost self.PARENT_back[s_next] = s_back self.OPEN_back.put(s_next, new_cost + self.h(s_next, self.xI)) return self.extract_path(s_meet), self.CLOSED_fore, self.CLOSED_back def extract_path(self, s_meet): # extract path for foreward part path_fore = [s_meet] s = s_meet while True: s = self.PARENT_fore[s] path_fore.append(s) if s == self.xI: break # extract path for backward part path_back = [] s = s_meet while True: s = self.PARENT_back[s] path_back.append(s) if s == self.xG: break return list(reversed(path_fore)) + list(path_back) def h(self, s, goal): """ Calculate heuristic value. :param s: current node (state) :param goal: goal node (state) :return: heuristic value """ heuristic_type = self.heuristic_type if heuristic_type == "manhattan": return abs(goal[0] - s[0]) + abs(goal[1] - s[1]) elif heuristic_type == "euclidean": return ((goal[0] - s[0]) ** 2 + (goal[1] - s[1]) ** 2) ** (1 / 2) else: print("Please choose right heuristic type!") @staticmethod def get_cost(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 main(): x_start = (5, 5) x_goal = (45, 25) bastar = BidirectionalAstar(x_start, x_goal, "euclidean") plot = plotting.Plotting(x_start, x_goal) fig_name = "Bidirectional-A*" path, visited_fore, visited_back = bastar.searching() plot.animation_bi_astar(path, visited_fore, visited_back, fig_name) # animation if __name__ == '__main__': main()