""" ARA_star 2D (Anytime Repairing A*) @author: huiming zhou """ import os import sys import math sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Search-based Planning/") from Search_2D import plotting from Search_2D import env class AraStar: def __init__(self, s_start, s_goal, e, heuristic_type): self.s_start, self.s_goal = s_start, s_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.e = e # initial weight self.g = {self.s_start: 0, self.s_goal: float("inf")} # cost to come self.OPEN = {self.s_start: self.fvalue(self.s_start)} # priority queue / OPEN set self.CLOSED = set() # CLOSED set self.INCONS = {} # INCONS set self.PARENT = {self.s_start: self.s_start} # relations self.path = [] # planning path self.visited = [] # order of visited nodes def searching(self): self.ImprovePath() self.path.append(self.extract_path()) while self.update_e() > 1: # continue condition self.e -= 0.5 # increase weight self.OPEN.update(self.INCONS) for s in self.OPEN: self.OPEN[s] = self.fvalue(s) self.INCONS = {} self.CLOSED = set() self.ImprovePath() # improve path self.path.append(self.extract_path()) return self.path, self.visited def ImprovePath(self): """ :return: a e'-suboptimal path """ visited_each = [] while True: s, f_small = self.get_smallest_f() if self.fvalue(self.s_goal) <= f_small: break self.CLOSED.add(s) for s_n in self.get_neighbor(s): new_cost = self.g[s] + self.cost(s, s_n) if s_n not in self.g or new_cost < self.g[s_n]: self.g[s_n] = new_cost self.PARENT[s_n] = s visited_each.append(s_n) if s_n not in self.CLOSED: self.OPEN[s_n] = self.fvalue(s_n) else: self.INCONS[s_n] = 0 self.visited.append(visited_each) def get_smallest_f(self): """ :return: node with smallest f_value in OPEN set. """ s_list = {} for s in self.OPEN: s_list[s] = self.fvalue(s) s_small = min(s_list, key=s_list.get) self.OPEN.pop(s_small) return s_small, s_list[s_small] def get_neighbor(self, s): """ find neighbors of state s that not in obstacles. :param s: state :return: neighbors """ s_list = set() for u in self.u_set: s_next = tuple([s[i] + u[i] for i in range(2)]) if s_next not in self.obs: s_list.add(s_next) return s_list def update_e(self): v = float("inf") if self.OPEN: v = min(self.g[s] + self.h(s) for s in self.OPEN) if self.INCONS: v = min(v, min(self.g[s] + self.h(s) for s in self.INCONS)) return min(self.e, self.g[self.s_goal] / v) def fvalue(self, x): return self.g[x] + self.e * self.h(x) def extract_path(self): """ Extract the path based on the PARENT set. :return: The planning path """ path = [self.s_goal] s = self.s_goal while True: s = self.PARENT[s] path.append(s) if s == self.s_start: break return list(path) def h(self, s): """ Calculate heuristic. :param s: current node (state) :return: heuristic function value """ heuristic_type = self.heuristic_type # heuristic type goal = self.s_goal # goal node if heuristic_type == "manhattan": return abs(goal[0] - s[0]) + abs(goal[1] - s[1]) else: return math.hypot(goal[0] - s[0], goal[1] - s[1]) @staticmethod def cost(s_start, s_goal): """ Calculate cost for this motion :param s_start: starting node :param s_goal: end node :return: cost for this motion :note: cost function could be more complicate! """ return 1 def main(): s_start = (5, 5) s_goal = (45, 25) arastar = AraStar(s_start, s_goal, 2.5, "euclidean") plot = plotting.Plotting(s_start, s_goal) path, visited = arastar.searching() plot.animation_ara_star(path, visited, "Anytime Repairing A* (ARA*)") if __name__ == '__main__': main()