Files
PathPlanning/Search-based Planning/Search_2D/a_star.py
T
2020-06-27 17:08:55 -07:00

132 lines
3.6 KiB
Python

"""
A_star 2D
@author: huiming zhou
"""
import os
import sys
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 Astar:
def __init__(self, x_start, x_goal, e, heuristic_type):
self.xI, self.xG = x_start, x_goal
self.heuristic_type = heuristic_type
self.Env = env.Env() # class Env
self.e = e
self.u_set = self.Env.motions # feasible input set
self.obs = self.Env.obs # position of obstacles
self.g = {self.xI: 0, self.xG: float("inf")}
self.OPEN = queue.QueuePrior() # priority queue / OPEN
self.OPEN.put(self.xI, self.fvalue(self.xI))
self.CLOSED = []
self.Parent = {self.xI: self.xI}
def searching(self):
"""
Searching using A_star.
:return: planning path, action in each node, visited nodes in the planning process
"""
while not self.OPEN.empty():
s = self.OPEN.get()
self.CLOSED.append(s)
if s == self.xG: # stop condition
break
for u_next in self.u_set: # explore neighborhoods of current node
s_next = tuple([s[i] + u_next[i] for i in range(len(s))])
if s_next not in self.obs and s_next not in self.CLOSED:
new_cost = self.g[s] + self.get_cost(s, u_next)
if s_next not in self.g:
self.g[s_next] = float("inf")
if new_cost < self.g[s_next]: # conditions for updating cost
self.g[s_next] = new_cost
self.Parent[s_next] = s
self.OPEN.put(s_next, self.fvalue(s_next))
return self.extract_path(), self.CLOSED
def fvalue(self, x):
h = self.e * self.Heuristic(x)
return self.g[x] + h
def extract_path(self):
"""
Extract the path based on the relationship of nodes.
:return: The planning path
"""
path_back = [self.xG]
x_current = self.xG
while True:
x_current = self.Parent[x_current]
path_back.append(x_current)
if x_current == self.xI:
break
return list(path_back)
@staticmethod
def get_cost(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):
"""
Calculate heuristic.
:param state: current node (state)
:param goal: goal node (state)
:param heuristic_type: choosing different heuristic functions
:return: heuristic
"""
heuristic_type = self.heuristic_type
goal = self.xG
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!")
def main():
x_start = (5, 5) # Starting node
x_goal = (49, 25) # Goal node
astar = Astar(x_start, x_goal, 1, "euclidean")
plot = plotting.Plotting(x_start, x_goal) # class Plotting
fig_name = "A* Algorithm"
path, visited = astar.searching()
plot.animation(path, visited, fig_name) # animation generate
if __name__ == '__main__':
main()