""" 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 Astar: 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.e = e # weighted A*: e >= 1 self.u_set = self.Env.motions # feasible input set self.obs = self.Env.obs # position of obstacles self.g = {self.xI: 0, self.xG: float("inf")} # cost to come self.OPEN = queue.QueuePrior() # priority queue / OPEN set self.OPEN.put(self.xI, self.fvalue(self.xI)) self.CLOSED = [] # closed set & visited self.PARENT = {self.xI: self.xI} # relations def searching(self): """ Searching using A_star. :return: path, order of visited nodes in the planning """ while not self.OPEN.empty(): s = self.OPEN.get() self.CLOSED.append(s) if s == self.xG: # stop condition break for u in self.u_set: # explore neighborhoods of current node s_next = tuple([s[i] + u[i] for i in range(2)]) if s_next not in self.obs and s_next not in self.CLOSED: new_cost = self.g[s] + self.get_cost(s, u) if s_next not in self.g: self.g[s_next] = float("inf") if new_cost < self.g[s_next]: # conditions for updating cost self.g[s_next] = new_cost self.PARENT[s_next] = s self.OPEN.put(s_next, self.fvalue(s_next)) return self.extract_path(self.PARENT), self.CLOSED def repeated_Searching(self, xI, xG, e): path, visited = [], [] while e >= 1: p_k, v_k = self.repeated_Astar(xI, xG, e) path.append(p_k) visited.append(v_k) e -= 0.5 return path, visited def repeated_Astar(self, xI, xG, e): g = {xI: 0, xG: float("inf")} OPEN = queue.QueuePrior() OPEN.put(xI, g[xI] + e * self.Heuristic(xI)) CLOSED = set() PARENT = {xI: xI} VISITED = [] while OPEN: s = OPEN.get() CLOSED.add(s) VISITED.append(s) if s == xG: break for u in self.u_set: # explore neighborhoods of current node s_next = tuple([s[i] + u[i] for i in range(2)]) if s_next not in self.obs and s_next not in CLOSED: new_cost = g[s] + self.get_cost(s, u) if s_next not in g: g[s_next] = float("inf") if new_cost < g[s_next]: # conditions for updating cost g[s_next] = new_cost PARENT[s_next] = s OPEN.put(s_next, g[s_next] + e * self.Heuristic(s_next)) return self.extract_path(PARENT), VISITED def fvalue(self, x, e=1): """ f = g + h. (g: cost to come, h: heuristic function) :param x: current state :return: f """ return self.g[x] + e * self.Heuristic(x) def extract_path(self, PARENT): """ 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 = 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: current 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 function value """ heuristic_type = self.heuristic_type # heuristic type goal = self.xG # goal node 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) x_goal = (45, 25) astar = Astar(x_start, x_goal, 1, "manhattan") # weight e = 1 plot = plotting.Plotting(x_start, x_goal) # class Plotting # # fig_name = "A*" # path, visited = astar.searching() # plot.animation(path, visited, fig_name) # animation generate fig_name = "Repeated A*" path, visited = astar.repeated_Searching(x_start, x_goal, 2.5) plot.animation_ara_star(path, visited, fig_name) if __name__ == '__main__': main()