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- # 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 = 'NonCollisionChecking' # 'NonCollisionChecking' or '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
- # assign or update the priority in the open
- 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)
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