# this is the three dimensional A* algo # !/usr/bin/env python3 # -*- coding: utf-8 -*- """ @author: yue qi """ import numpy as np import matplotlib.pyplot as plt import os import sys sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Search_based_Planning/") from Search_3D.env3D import env from Search_3D.utils3D import getDist, getRay, g_Space, Heuristic, getNearest, isCollide, \ cost, children, StateSpace, heuristic_fun from Search_3D.plot_util3D import visualization import queue import time class Weighted_A_star(object): def __init__(self, resolution=0.5): self.Alldirec = {(1, 0, 0): 1, (0, 1, 0): 1, (0, 0, 1): 1, \ (-1, 0, 0): 1, (0, -1, 0): 1, (0, 0, -1): 1, \ (1, 1, 0): np.sqrt(2), (1, 0, 1): np.sqrt(2), (0, 1, 1): np.sqrt(2), \ (-1, -1, 0): np.sqrt(2), (-1, 0, -1): np.sqrt(2), (0, -1, -1): np.sqrt(2), \ (1, -1, 0): np.sqrt(2), (-1, 1, 0): np.sqrt(2), (1, 0, -1): np.sqrt(2), \ (-1, 0, 1): np.sqrt(2), (0, 1, -1): np.sqrt(2), (0, -1, 1): np.sqrt(2), \ (1, 1, 1): np.sqrt(3), (-1, -1, -1) : np.sqrt(3), \ (1, -1, -1): np.sqrt(3), (-1, 1, -1): np.sqrt(3), (-1, -1, 1): np.sqrt(3), \ (1, 1, -1): np.sqrt(3), (1, -1, 1): np.sqrt(3), (-1, 1, 1): np.sqrt(3)} self.settings = 'CollisionChecking' self.env = env(resolution=resolution) self.start, self.goal = tuple(self.env.start), tuple(self.env.goal) self.g = {self.start:0,self.goal:np.inf} self.Parent = {} self.CLOSED = set() self.V = [] self.done = False self.Path = [] self.ind = 0 self.x0, self.xt = self.start, self.goal self.OPEN = queue.MinheapPQ() # store [point,priority] self.OPEN.put(self.x0, self.g[self.x0] + heuristic_fun(self,self.x0)) # item, priority = g + h self.lastpoint = self.x0 def run(self, N=None): xt = self.xt xi = self.x0 while self.OPEN: # while xt not reached and open is not empty xi = self.OPEN.get() if xi not in self.CLOSED: self.V.append(np.array(xi)) self.CLOSED.add(xi) # add the point in CLOSED set if getDist(xi,xt) < self.env.resolution: break # visualization(self) for xj in children(self,xi): # if xj not in self.CLOSED: if xj not in self.g: self.g[xj] = np.inf else: pass a = self.g[xi] + cost(self, xi, xj) if a < self.g[xj]: self.g[xj] = a self.Parent[xj] = xi # if (a, xj) in self.OPEN.enumerate(): # update priority of xj self.OPEN.put(xj, a + 1 * heuristic_fun(self, xj)) # else: # add xj in to OPEN set # self.OPEN.put(xj, a + 1 * heuristic_fun(self, xj)) # For specified expanded nodes, used primarily in LRTA* if N: if len(self.CLOSED) % N == 0: break if self.ind % 100 == 0: print('number node expanded = ' + str(len(self.V))) self.ind += 1 self.lastpoint = xi # if the path finding is finished if self.lastpoint in self.CLOSED: self.done = True self.Path = self.path() if N is None: #visualization(self) plt.show() return True return False def path(self): path = [] x = self.lastpoint start = self.x0 while x != start: path.append([x, self.Parent[x]]) x = self.Parent[x] # path = np.flip(path, axis=0) return path # utility used in LRTA* def reset(self, xj): self.g = g_Space(self) # key is the point, store g value self.start = xj self.g[getNearest(self.g, self.start)] = 0 # set g(x0) = 0 self.x0 = xj self.OPEN.put(self.x0, self.g[self.x0] + heuristic_fun(self,self.x0)) # item, priority = g + h self.CLOSED = set() # self.h = h(self.Space, self.goal) if __name__ == '__main__': Astar = Weighted_A_star(0.5) sta = time.time() Astar.run() print(time.time() - sta)