""" LPA_star 2D @author: huiming zhou """ import os import sys 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 LpaStar: 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.OPEN = queue.QueuePrior() # priority queue / U set self.g, self.v = {}, {} for i in range(self.Env.x_range): for j in range(self.Env.y_range): self.v[(i, j)] = float("inf") self.g[(i, j)] = float("inf") self.v[self.xI] = 0 self.OPEN.put(self.xI, self.Key(self.xI)) self.CLOSED = set() def searching(self): self.ComputePath() path = [self.extract_path()] # self.print_g() obs_change = set() for i in range(25, 30): self.obs.add((i, 15)) obs_change.add((i, 15)) self.obs.add((30, 14)) obs_change.add((30, 14)) for s in obs_change: self.v[s] = float("inf") self.g[s] = float("inf") for x in self.get_neighbor(s): self.UpdateMembership(x) # for x in obs_change: # self.obs.remove(x) # for x in obs_change: # self.UpdateVertex(x) self.ComputePath() path.append(self.extract_path_test()) self.print_g() return path, obs_change def ComputePath(self): while self.Key(self.xG) > self.OPEN.top_key() \ or self.v[self.xG] < self.g[self.xG]: s = self.OPEN.get() if self.v[s] > self.g[s]: self.v[s] = self.g[s] self.CLOSED.add(s) while self.OPEN.top_key() < self.Key(self.xG) \ or self.v[self.xG] != self.g[self.xG]: s = self.OPEN.get() if self.g[s] > self.v[s]: self.g[s] = self.v[s] else: self.g[s] = float("inf") self.UpdateMembership(s) for x in self.get_neighbor(s): self.UpdateMembership(x) # return self.extract_path() def UpdateMembership(self, s): if self.v[s] != self.g[s]: if s not in self.CLOSED: self.OPEN.put(s, self.Key(s)) else: if s in self.OPEN: self.OPEN.remove(s) def print_g(self): print("he") for k in range(self.Env.y_range): j = self.Env.y_range - k - 1 string = "" for i in range(self.Env.x_range): if self.g[(i, j)] == float("inf"): string += ("00" + ', ') else: if self.g[(i, j)] // 10 == 0: string += ("0" + str(self.g[(i, j)]) + ', ') else: string += (str(self.g[(i, j)]) + ', ') print(string) def extract_path(self): path = [] s = self.xG while True: g_list = {} for x in self.get_neighbor(s): g_list[x] = self.g[x] s = min(g_list, key=g_list.get) if s == self.xI: return list(reversed(path)) path.append(s) def extract_path_test(self): path = [] s = self.xG for k in range(70): g_list = {} for x in self.get_neighbor(s): g_list[x] = self.g[x] s = min(g_list, key=g_list.get) if s == self.xI: return list(reversed(path)) path.append(s) return list(reversed(path)) def get_neighbor(self, s): nei_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: nei_list.add(s_next) return nei_list def Key(self, s): return [min(self.g[s], self.v[s]) + self.h(s), min(self.g[s], self.v[s])] def h(self, s): heuristic_type = self.heuristic_type # heuristic type goal = self.xG # goal node 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!") def get_cost(self, s_start, s_end): """ Calculate cost for this motion :param s_start: :param s_end: :return: cost for this motion :note: cost function could be more complicate! """ # if s_start not in self.obs: # if s_end not in self.obs: # return 1 # else: # return float("inf") # return float("inf") return 1 def main(): x_start = (5, 5) x_goal = (45, 25) lpastar = LpaStar(x_start, x_goal, "manhattan") plot = plotting.Plotting(x_start, x_goal) path, obs = lpastar.searching() plot.plot_grid("Lifelong Planning A*") p = path[0] px = [x[0] for x in p] py = [x[1] for x in p] plt.plot(px, py, marker='o') plt.pause(0.5) p = path[1] px = [x[0] for x in p] py = [x[1] for x in p] plt.plot(px, py, marker='o') plt.pause(0.01) plt.show() if __name__ == '__main__': main()