""" LRTA_star_N 2D @author: huiming zhou """ import os import sys import copy import matplotlib.pyplot as plt 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 LrtAstarN: 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.N = 150 self.visited = [] def searching(self): s_start = self.xI path = [] count = 0 while True: # if count == 2: # return path # count += 1 h_table = {} OPEN, CLOSED = self.Astar(s_start, self.N) if OPEN == "end": path.append(CLOSED) return path for x in CLOSED: h_table[x] = 2000 while True: h_table_rec = copy.deepcopy(h_table) for s in CLOSED: h_list = [] 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: if s_next not in CLOSED: h_list.append(self.get_cost(s, s_next) + self.h(s_next)) else: h_list.append(self.get_cost(s, s_next) + h_table[s_next]) h_table[s] = min(h_list) if h_table == h_table_rec: break path_k = [s_start] x = s_start while True: h_xlist = {} for u in self.u_set: x_next = tuple([x[i] + u[i] for i in range(2)]) if x_next not in self.obs: if x_next in CLOSED: h_xlist[x_next] = h_table[x_next] else: h_xlist[x_next] = self.h(x_next) s_key = min(h_xlist, key=h_xlist.get) path_k.append(s_key) x = s_key if s_key not in CLOSED: break s_start = path_k[-1] path.append(path_k) def Astar(self, x_start, N): OPEN = queue.QueuePrior() OPEN.put(x_start, self.h(x_start)) CLOSED = set() g_table = {x_start: 0, self.xG: float("inf")} parent = {x_start: x_start} count = 0 visited = [] while not OPEN.empty(): count += 1 s = OPEN.get() CLOSED.add(s) visited.append(s) if s == self.xG: path = self.extract_path(x_start, parent) self.visited.append(visited) return "end", path for u in self.u_set: s_next = tuple([s[i] + u[i] for i in range(len(s))]) if s_next not in self.obs and s_next not in CLOSED: new_cost = g_table[s] + self.get_cost(s, u) if s_next not in g_table: g_table[s_next] = float("inf") if new_cost < g_table[s_next]: # conditions for updating cost g_table[s_next] = new_cost parent[s_next] = s OPEN.put(s_next, g_table[s_next] + self.h(s_next)) if count == N: break self.visited.append(visited) return OPEN, CLOSED def extract_path(self, x_start, 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 == x_start: break return list(reversed(path_back)) def h(self, s): heuristic_type = self.heuristic_type goal = self.xG 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 = (10, 5) # Starting node x_goal = (45, 25) # Goal node lrtastarn = LrtAstarN(x_start, x_goal, "euclidean") plot = plotting.Plotting(x_start, x_goal) path = lrtastarn.searching() plot.plot_grid("LRTA_star_N") for k in range(len(path)): plot.plot_visited(lrtastarn.visited[k]) plt.pause(0.5) plot.plot_path(path[k]) plt.pause(0.5) plt.pause(0.5) path_u = [] for i in range(len(path)): for j in range(len(path[i])): path_u.append(path[i][j]) plot.plot_path(path_u) plt.pause(0.2) plt.show() if __name__ == '__main__': main()