""" A_star 2D @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 queue from Search_2D import plotting from Search_2D import env class Astar: def __init__(self, start, goal, heuristic_type): self.s_start, self.s_goal = start, 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 = {self.s_start: 0, self.s_goal: float("inf")} # Cost to come self.OPEN = queue.QueuePrior() # priority queue / OPEN set self.OPEN.put(self.s_start, self.fvalue(self.s_start)) self.CLOSED = [] # CLOSED set / VISITED order self.PARENT = {self.s_start: self.s_start} def searching(self): """ A_star Searching. :return: path, order of visited nodes """ while self.OPEN: s = self.OPEN.get() self.CLOSED.append(s) if s == self.s_goal: # stop condition break 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: self.g[s_n] = float("inf") if new_cost < self.g[s_n]: # conditions for updating Cost self.g[s_n] = new_cost self.PARENT[s_n] = s self.OPEN.put(s_n, self.fvalue(s_n)) return self.extract_path(self.PARENT), self.CLOSED def repeated_astar(self, e): """ repeated a*. :param e: weight of a* :return: path and visited order """ path, visited = [], [] while e >= 1: p_k, v_k = self.repeated_searching(self.s_start, self.s_goal, e) path.append(p_k) visited.append(v_k) e -= 0.5 return path, visited def repeated_searching(self, s_start, s_goal, e): """ run a* with weight e. :param s_start: starting state :param s_goal: goal state :param e: weight of a* :return: path and visited order. """ g = {s_start: 0, s_goal: float("inf")} OPEN = queue.QueuePrior() OPEN.put(s_start, g[s_start] + e * self.Heuristic(s_start)) CLOSED = [] PARENT = {s_start: s_start} while OPEN: s = OPEN.get() CLOSED.append(s) if s == s_goal: break for s_n in self.get_neighbor(s): if s_n not in CLOSED: new_cost = g[s] + self.cost(s, s_n) if s_n not in g: g[s_n] = float("inf") if new_cost < g[s_n]: # conditions for updating Cost g[s_n] = new_cost PARENT[s_n] = s OPEN.put(s_n, g[s_n] + e * self.Heuristic(s_n)) return self.extract_path(PARENT), CLOSED def get_neighbor(self, s): """ find neighbors of state s that not in obstacles. :param s: state :return: neighbors """ s_list = [] for u in self.u_set: s_list.append(tuple([s[i] + u[i] for i in range(2)])) return s_list def cost(self, 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! """ if self.is_collision(s_start, s_goal): return float("inf") return math.hypot(s_goal[0] - s_start[0], s_goal[1] - s_start[1]) def is_collision(self, s_start, s_end): if s_start in self.obs or s_end in self.obs: return True if s_start[0] != s_end[0] and s_start[1] != s_end[1]: if s_end[0] - s_start[0] == s_start[1] - s_end[1]: s1 = (min(s_start[0], s_end[0]), min(s_start[1], s_end[1])) s2 = (max(s_start[0], s_end[0]), max(s_start[1], s_end[1])) else: s1 = (min(s_start[0], s_end[0]), max(s_start[1], s_end[1])) s2 = (max(s_start[0], s_end[0]), min(s_start[1], s_end[1])) if s1 in self.obs or s2 in self.obs: return True return False def fvalue(self, x): """ f = g + h. (g: Cost to come, h: heuristic function) :param x: current state :return: f """ return self.g[x] + self.Heuristic(x) def extract_path(self, PARENT): """ Extract the path based on the PARENT set. :return: The planning path """ path = [self.s_goal] s = self.s_goal while True: s = PARENT[s] path.append(s) if s == self.s_start: break return list(path) def Heuristic(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]) def main(): s_start = (5, 5) s_goal = (45, 25) astar = Astar(s_start, s_goal, "euclidean") plot = plotting.Plotting(s_start, s_goal) path, visited = astar.searching() plot.animation(path, visited, "A*") # animation # path, visited = astar.repeated_astar(2.5) # initial weight e = 2.5 # plot.animation_ara_star(path, visited, "Repeated A*") if __name__ == '__main__': main()