""" LPA_star 2D @author: huiming zhou """ import os import sys import math 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.s_start, self.s_goal = x_start, x_goal self.heuristic_type = heuristic_type self.Env = env.Env() self.Plot = plotting.Plotting(x_start, x_goal) self.u_set = self.Env.motions self.obs = self.Env.obs self.x = self.Env.x_range self.y = self.Env.y_range self.U = queue.QueuePrior() self.g, self.rhs = {}, {} for i in range(self.Env.x_range): for j in range(self.Env.y_range): self.rhs[(i, j)] = float("inf") self.g[(i, j)] = float("inf") self.rhs[self.s_start] = 0 self.U.put(self.s_start, self.Key(self.s_start)) self.fig = plt.figure() def run(self): self.Plot.plot_grid("Lifelong Planning A*") self.ComputePath() self.plot_path(self.extract_path()) self.fig.canvas.mpl_connect('button_press_event', self.on_press) plt.show() def on_press(self, event): x, y = event.xdata, event.ydata if x < 0 or x > self.x - 1 or y < 0 or y > self.y - 1: print("Please choose right area!") else: x, y = int(x), int(y) print("Change position: x =", x, ",", "y =", y) if (x, y) not in self.obs: self.obs.add((x, y)) plt.plot(x, y, 'sk') else: self.obs.remove((x, y)) plt.plot(x, y, marker='s', color='white') self.UpdateVertex((x, y)) for s_n in self.get_neighbor((x, y)): self.UpdateVertex(s_n) self.ComputePath() self.plot_path(self.extract_path()) self.fig.canvas.draw_idle() def ComputePath(self): while self.U.top_key() < self.Key(self.s_goal) or \ self.rhs[self.s_goal] != self.g[self.s_goal]: s = self.U.get() if self.g[s] > self.rhs[s]: # over-consistent: deleted obstacles self.g[s] = self.rhs[s] else: # under-consistent: added obstacles self.g[s] = float("inf") self.UpdateVertex(s) for s_n in self.get_neighbor(s): self.UpdateVertex(s_n) def UpdateVertex(self, s): if s != self.s_start: self.rhs[s] = min([self.g[s_n] + self.cost(s_n, s) for s_n in self.get_neighbor(s)]) self.U.remove(s) if self.g[s] != self.rhs[s]: self.U.put(s, self.Key(s)) def get_neighbor(self, s): """ find neighbors of state s that not in obstacles. :param s: state :return: neighbors """ s_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: s_list.add(s_next) return s_list def Key(self, s): return [min(self.g[s], self.rhs[s]) + self.h(s), min(self.g[s], self.rhs[s])] def h(self, s): 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 cost(self, s_start, s_end): if s_start in self.obs or s_end in self.obs: return float("inf") return 1 def extract_path(self): path = [] s = self.s_goal for k in range(100): 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.s_start: break path.append(s) return list(reversed(path)) @staticmethod def plot_path(path): px = [x[0] for x in path] py = [x[1] for x in path] plt.plot(px, py, marker='o') 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 main(): x_start = (5, 5) x_goal = (45, 25) lpastar = LpaStar(x_start, x_goal, "manhattan") lpastar.run() if __name__ == '__main__': main()