""" 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.U = queue.QueuePrior() # priority queue / OPEN set 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.xI] = 0 self.U.put(self.xI, [self.h(self.xI), 0]) def searching(self): self.computePath() path = self.extract_path() return path def computePath(self): while self.U.top_key() < self.CalculateKey(self.xG) \ or self.rhs[self.xG] != self.g[self.xG]: s = self.U.get() if self.g[s] > self.rhs[s]: self.g[s] = self.rhs[s] for x in self.get_neighbor(s): self.UpdateVertex(x) else: self.g[s] = float("inf") self.UpdateVertex(s) for x in self.get_neighbor(s): self.UpdateVertex(x) 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 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 CalculateKey(self, s): return [min(self.g[s], self.rhs[s]) + self.h(s), min(self.g[s], self.rhs[s])] def UpdateVertex(self, u): if u != self.xI: u_min = float("inf") for x in self.get_neighbor(u): u_min = min(u_min, self.g[x] + 1) self.rhs[u] = u_min self.U.check_remove(u) if self.g[u] != self.rhs[u]: self.U.put(u, self.CalculateKey(u)) 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!") @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 main(): x_start = (5, 5) x_goal = (45, 25) lpastar = LpaStar(x_start, x_goal, "manhattan") plot = plotting.Plotting(x_start, x_goal) path = lpastar.searching() plot.plot_grid("test") px = [x[0] for x in path] py = [x[1] for x in path] plt.plot(px, py, color='red', marker='o') plt.show() if __name__ == '__main__': main()