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PathPlanning/Search-based Planning/Search_2D/bidirectional_a_star.py
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2020-06-28 20:41:44 -07:00

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5.0 KiB
Python

"""
Bidirectional_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 BidirectionalAstar:
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.g_fore = {self.xI: 0, self.xG: float("inf")} # cost to come: from x_start
self.g_back = {self.xG: 0, self.xI: float("inf")} # cost to come: form x_goal
self.OPEN_fore = queue.QueuePrior() # OPEN set for foreward searching
self.OPEN_fore.put(self.xI, self.g_fore[self.xI] + self.h(self.xI, self.xG))
self.OPEN_back = queue.QueuePrior() # OPEN set for backward searching
self.OPEN_back.put(self.xG, self.g_back[self.xG] + self.h(self.xG, self.xI))
self.CLOSED_fore = [] # CLOSED set for foreward
self.CLOSED_back = [] # CLOSED set for backward
self.PARENT_fore = {self.xI: self.xI}
self.PARENT_back = {self.xG: self.xG}
def searching(self):
s_meet = self.xI
while not self.OPEN_fore.empty() and not self.OPEN_back.empty():
# solve foreward-search
s_fore = self.OPEN_fore.get()
if s_fore in self.PARENT_back:
s_meet = s_fore
break
self.CLOSED_fore.append(s_fore)
for u in self.u_set:
s_next = tuple([s_fore[i] + u[i] for i in range(2)])
if s_next not in self.obs:
new_cost = self.g_fore[s_fore] + self.get_cost(s_fore, u)
if s_next not in self.g_fore:
self.g_fore[s_next] = float("inf")
if new_cost < self.g_fore[s_next]:
self.g_fore[s_next] = new_cost
self.PARENT_fore[s_next] = s_fore
self.OPEN_fore.put(s_next, new_cost + self.h(s_next, self.xG))
# solve backward-search
s_back = self.OPEN_back.get()
if s_back in self.PARENT_fore:
s_meet = s_back
break
self.CLOSED_back.append(s_back)
for u in self.u_set:
s_next = tuple([s_back[i] + u[i] for i in range(len(s_back))])
if s_next not in self.obs:
new_cost = self.g_back[s_back] + self.get_cost(s_back, u)
if s_next not in self.g_back:
self.g_back[s_next] = float("inf")
if new_cost < self.g_back[s_next]:
self.g_back[s_next] = new_cost
self.PARENT_back[s_next] = s_back
self.OPEN_back.put(s_next, new_cost + self.h(s_next, self.xI))
return self.extract_path(s_meet), self.CLOSED_fore, self.CLOSED_back
def extract_path(self, s_meet):
# extract path for foreward part
path_fore = [s_meet]
s = s_meet
while True:
s = self.PARENT_fore[s]
path_fore.append(s)
if s == self.xI:
break
# extract path for backward part
path_back = []
s = s_meet
while True:
s = self.PARENT_back[s]
path_back.append(s)
if s == self.xG:
break
return list(reversed(path_fore)) + list(path_back)
def h(self, s, goal):
"""
Calculate heuristic value.
:param s: current node (state)
:param goal: goal node (state)
:return: heuristic value
"""
heuristic_type = self.heuristic_type
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: 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)
bastar = BidirectionalAstar(x_start, x_goal, "euclidean")
plot = plotting.Plotting(x_start, x_goal)
fig_name = "Bidirectional-A*"
path, visited_fore, visited_back = bastar.searching()
plot.animation_bi_astar(path, visited_fore, visited_back, fig_name) # animation
if __name__ == '__main__':
main()