""" 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 plotting from Search_2D import env class LpaStar: def __init__(self, s_start, s_goal, heuristic_type): self.s_start, self.s_goal = s_start, s_goal self.heuristic_type = heuristic_type self.Env = env.Env() self.Plot = plotting.Plotting(self.s_start, self.s_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.g, self.rhs, self.U = {}, {}, {} 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[self.s_start] = self.CalculateKey(self.s_start) self.visited = set() self.count = 0 self.fig = plt.figure() def run(self): self.Plot.plot_grid("Lifelong Planning A*") self.ComputeShortestPath() 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) self.visited = set() self.count += 1 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.ComputeShortestPath() self.plot_visited(self.visited) self.plot_path(self.extract_path()) self.fig.canvas.draw_idle() def ComputeShortestPath(self): while True: s, v = self.TopKey() if v >= self.CalculateKey(self.s_goal) and \ self.rhs[self.s_goal] == self.g[self.s_goal]: break self.U.pop(s) self.visited.add(s) 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)) if s in self.U: self.U.pop(s) if self.g[s] != self.rhs[s]: self.U[s] = self.CalculateKey(s) def TopKey(self): """ :return: return the min key and its value. """ s = min(self.U, key=self.U.get) return s, self.U[s] def CalculateKey(self, s): return [min(self.g[s], self.rhs[s]) + self.h(s), min(self.g[s], self.rhs[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 h(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 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 extract_path(self): """ Extract the path based on the PARENT set. :return: The planning path """ path = [self.s_goal] s = self.s_goal for k in range(100): g_list = {} for x in self.get_neighbor(s): if not self.is_collision(s, x): g_list[x] = self.g[x] s = min(g_list, key=g_list.get) path.append(s) if s == self.s_start: break return list(reversed(path)) def plot_path(self, path): px = [x[0] for x in path] py = [x[1] for x in path] plt.plot(px, py, linewidth=2) plt.plot(self.s_start[0], self.s_start[1], "bs") plt.plot(self.s_goal[0], self.s_goal[1], "gs") def plot_visited(self, visited): color = ['gainsboro', 'lightgray', 'silver', 'darkgray', 'bisque', 'navajowhite', 'moccasin', 'wheat', 'powderblue', 'skyblue', 'lightskyblue', 'cornflowerblue'] if self.count >= len(color) - 1: self.count = 0 for x in visited: plt.plot(x[0], x[1], marker='s', color=color[self.count]) def main(): x_start = (5, 5) x_goal = (45, 25) lpastar = LpaStar(x_start, x_goal, "Euclidean") lpastar.run() if __name__ == '__main__': main()