Files
PathPlanning/Search-based Planning/a_star.py
T
zhm-real 5ccc649dc1 update
2020-06-20 12:46:49 -07:00

118 lines
3.9 KiB
Python

#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
@author: huiming zhou
"""
import queue
import plotting
import env
class Astar:
def __init__(self, x_start, x_goal, heuristic_type):
self.xI, self.xG = x_start, x_goal
self.Env = env.Env()
self.u_set = self.Env.motions # feasible input set
self.obs = self.Env.obs # position of obstacles
[self.path, self.policy, self.visited] = self.searching(self.xI, self.xG, heuristic_type)
self.fig_name = "A* Algorithm"
plotting.animation(self.xI, self.xG, self.obs,
self.path, self.visited, self.fig_name) # animation generate
def searching(self, xI, xG, heuristic_type):
"""
Searching using A_star.
:return: planning path, action in each node, visited nodes in the planning process
"""
q_astar = queue.QueuePrior() # priority queue
q_astar.put(xI, 0)
parent = {xI: xI} # record parents of nodes
action = {xI: (0, 0)} # record actions of nodes
visited = []
cost = {xI: 0}
while not q_astar.empty():
x_current = q_astar.get()
if x_current == xG: # stop condition
break
visited.append(x_current)
for u_next in self.u_set: # explore neighborhoods of current node
x_next = tuple([x_current[i] + u_next[i] for i in range(len(x_current))])
if x_next not in self.obs:
new_cost = cost[x_current] + self.get_cost(x_current, u_next)
if x_next not in cost or new_cost < cost[x_next]: # conditions for updating cost
cost[x_next] = new_cost
priority = new_cost + self.Heuristic(x_next, xG, heuristic_type)
q_astar.put(x_next, priority) # put node into queue using priority "f+h"
parent[x_next], action[x_next] = x_current, u_next
[path, policy] = self.extract_path(xI, xG, parent, action)
return path, policy, visited
def extract_path(self, xI, xG, parent, policy):
"""
Extract the path based on the relationship of nodes.
:param xI: Starting node
:param xG: Goal node
:param parent: Relationship between nodes
:param policy: Action needed for transfer between two nodes
:return: The planning path
"""
path_back = [xG]
acts_back = [policy[xG]]
x_current = xG
while True:
x_current = parent[x_current]
path_back.append(x_current)
acts_back.append(policy[x_current])
if x_current == xI: break
return list(path_back), list(acts_back)
def get_cost(self, x, u):
"""
Calculate cost for this motion
:param x: current node
:param u: input
:return: cost for this motion
:note: cost function could be more complicate!
"""
return 1
def Heuristic(self, state, goal, heuristic_type):
"""
Calculate heuristic.
:param state: current node (state)
:param goal: goal node (state)
:param heuristic_type: choosing different heuristic functions
:return: heuristic
"""
if heuristic_type == "manhattan":
return abs(goal[0] - state[0]) + abs(goal[1] - state[1])
elif heuristic_type == "euclidean":
return ((goal[0] - state[0]) ** 2 + (goal[1] - state[1]) ** 2) ** (1 / 2)
else:
print("Please choose right heuristic type!")
if __name__ == '__main__':
x_Start = (5, 5) # Starting node
x_Goal = (49, 5) # Goal node
astar = Astar(x_Start, x_Goal, "manhattan")