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Information_Management_System/src/Search_2D/Astar.py

225 lines
6.1 KiB

"""
A_star 2D
@author: huiming zhou
"""
import os
import sys
import math
import heapq
sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../PaddleClas-release-2.3")
from Search_2D import plotting, env
class AStar:
"""AStar set the cost + heuristics as the priority
"""
def __init__(self, s_start, s_goal, heuristic_type):
self.s_start = s_start
self.s_goal = s_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.OPEN = [] # priority queue / OPEN set
self.CLOSED = [] # CLOSED set / VISITED order
self.PARENT = dict() # recorded parent
self.g = dict() # cost to come
def searching(self):
"""
A_star Searching.
:return: path, visited order
"""
self.PARENT[self.s_start] = self.s_start
self.g[self.s_start] = 0
self.g[self.s_goal] = math.inf
heapq.heappush(self.OPEN,
(self.f_value(self.s_start), self.s_start))
while self.OPEN:
_, s = heapq.heappop(self.OPEN)
self.CLOSED.append(s)
if s == self.s_goal: # stop condition
break
for s_n in self.get_neighbor(s):
new_cost = self.g[s] + self.cost(s, s_n)
if s_n not in self.g:
self.g[s_n] = math.inf
if new_cost < self.g[s_n]: # conditions for updating Cost
self.g[s_n] = new_cost
self.PARENT[s_n] = s
heapq.heappush(self.OPEN, (self.f_value(s_n), s_n))
return self.extract_path(self.PARENT), self.CLOSED
def searching_repeated_astar(self, e):
"""
repeated A*.
:param e: weight of A*
:return: path and visited order
"""
path, visited = [], []
while e >= 1:
p_k, v_k = self.repeated_searching(self.s_start, self.s_goal, e)
path.append(p_k)
visited.append(v_k)
e -= 0.5
return path, visited
def repeated_searching(self, s_start, s_goal, e):
"""
run A* with weight e.
:param s_start: starting state
:param s_goal: goal state
:param e: weight of a*
:return: path and visited order.
"""
g = {s_start: 0, s_goal: float("inf")}
PARENT = {s_start: s_start}
OPEN = []
CLOSED = []
heapq.heappush(OPEN,
(g[s_start] + e * self.heuristic(s_start), s_start))
while OPEN:
_, s = heapq.heappop(OPEN)
CLOSED.append(s)
if s == s_goal:
break
for s_n in self.get_neighbor(s):
new_cost = g[s] + self.cost(s, s_n)
if s_n not in g:
g[s_n] = math.inf
if new_cost < g[s_n]: # conditions for updating Cost
g[s_n] = new_cost
PARENT[s_n] = s
heapq.heappush(OPEN, (g[s_n] + e * self.heuristic(s_n), s_n))
return self.extract_path(PARENT), CLOSED
def get_neighbor(self, s):
"""
find neighbors of state s that not in obstacles.
:param s: state
:return: neighbors
"""
return [(s[0] + u[0], s[1] + u[1]) for u in self.u_set]
def cost(self, s_start, s_goal):
"""
Calculate Cost for this motion
:param s_start: starting node
:param s_goal: end node
:return: Cost for this motion
:note: Cost function could be more complicate!
"""
if self.is_collision(s_start, s_goal):
return math.inf
return math.hypot(s_goal[0] - s_start[0], s_goal[1] - s_start[1])
def is_collision(self, s_start, s_end):
"""
check if the line segment (s_start, s_end) is collision.
:param s_start: start node
:param s_end: end node
:return: True: is collision / False: not collision
"""
if s_start in self.obs or s_end in self.obs:
return True
if s_start[0] != s_end[0] and s_start[1] != s_end[1]:
if s_end[0] - s_start[0] == s_start[1] - s_end[1]:
s1 = (min(s_start[0], s_end[0]), min(s_start[1], s_end[1]))
s2 = (max(s_start[0], s_end[0]), max(s_start[1], s_end[1]))
else:
s1 = (min(s_start[0], s_end[0]), max(s_start[1], s_end[1]))
s2 = (max(s_start[0], s_end[0]), min(s_start[1], s_end[1]))
if s1 in self.obs or s2 in self.obs:
return True
return False
def f_value(self, s):
"""
f = g + h. (g: Cost to come, h: heuristic value)
:param s: current state
:return: f
"""
return self.g[s] + self.heuristic(s)
def extract_path(self, PARENT):
"""
Extract the path based on the PARENT set.
:return: The planning path
"""
path = [self.s_goal]
s = self.s_goal
while True:
s = PARENT[s]
path.append(s)
if s == self.s_start:
break
return list(path)
def heuristic(self, s):
"""
Calculate heuristic.
:param s: current node (state)
:return: heuristic function value
"""
heuristic_type = self.heuristic_type # heuristic type
goal = self.s_goal # goal node
if heuristic_type == "manhattan":
return abs(goal[0] - s[0]) + abs(goal[1] - s[1])
else:
return math.hypot(goal[0] - s[0], goal[1] - s[1])
def main():
s_start = (5, 5)
s_goal = (45, 25)
astar = AStar(s_start, s_goal, "euclidean")
plot = plotting.Plotting(s_start, s_goal)
path, visited = astar.searching()
plot.animation(path, visited, "A*") # animation
# path, visited = astar.searching_repeated_astar(2.5) # initial weight e = 2.5
# plot.animation_ara_star(path, visited, "Repeated A*")
if __name__ == '__main__':
main()