""" ARA_star 2D (Anytime Repairing A*) @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 AraStar: def __init__(self, x_start, x_goal, e, 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.e = e # initial weight self.g = {self.xI: 0, self.xG: float("inf")} # cost to come self.OPEN = queue.QueuePrior() # priority queue / U self.CLOSED = set() # closed set self.INCONS = [] # incons set self.PARENT = {self.xI: self.xI} # relations self.path = [] # planning path self.visited = [] # order of visited nodes def searching(self): self.OPEN.put(self.xI, self.fvalue(self.xI)) self.ImprovePath() self.path.append(self.extract_path()) while self.update_e() > 1: # continue condition self.e -= 0.5 # increase weight OPEN_mid = [x for (p, x) in self.OPEN.enumerate()] + self.INCONS # combine two sets self.OPEN = queue.QueuePrior() self.OPEN.put(self.xI, self.fvalue(self.xI)) for x in OPEN_mid: self.OPEN.put(x, self.fvalue(x)) # update priority 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 (self.fvalue(self.xG) > min([self.fvalue(x) for (p, x) in self.OPEN.enumerate()])): s = self.OPEN.get() if s not in self.CLOSED: self.CLOSED.add(s) for u_next in self.u_set: s_next = tuple([s[i] + u_next[i] for i in range(len(s))]) if s_next not in self.obs: new_cost = self.g[s] + self.get_cost(s, u_next) if s_next not in self.g or new_cost < self.g[s_next]: self.g[s_next] = new_cost self.PARENT[s_next] = s visited_each.append(s_next) if s_next not in self.CLOSED: self.OPEN.put(s_next, self.fvalue(s_next)) else: self.INCONS.append(s_next) self.visited.append(visited_each) def update_e(self): c_OPEN, c_INCONS = float("inf"), float("inf") if self.OPEN: c_OPEN = min(self.g[x] + self.Heuristic(x) for (p, x) in self.OPEN.enumerate()) if self.INCONS: c_INCONS = min(self.g[x] + self.Heuristic(x) for x in self.INCONS) if min(c_OPEN, c_INCONS) == float("inf"): return 1 return min(self.e, self.g[self.xG] / min(c_OPEN, c_INCONS)) def fvalue(self, x): return self.g[x] + self.e * self.Heuristic(x) def extract_path(self): """ Extract the path based on the relationship of nodes. :return: The planning path """ path_back = [self.xG] x_current = self.xG while True: x_current = self.PARENT[x_current] path_back.append(x_current) if x_current == self.xI: break return list(path_back) @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 Heuristic(self, state): """ Calculate heuristic. :param state: current node (state) :return: heuristic """ heuristic_type = self.heuristic_type goal = self.xG 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!") def main(): x_start = (5, 5) # Starting node x_goal = (45, 25) # Goal node arastar = AraStar(x_start, x_goal, 2.5, "manhattan") plot = plotting.Plotting(x_start, x_goal) fig_name = "Anytime Repairing A* (ARA*)" path, visited = arastar.searching() plot.animation_ara_star(path, visited, fig_name) if __name__ == '__main__': main()