Files
PathPlanning/Search-based Planning/Search_2D/Dijkstra.py
T
2020-07-24 00:21:03 -07:00

135 lines
3.7 KiB
Python

"""
Dijkstra 2D
@author: huiming zhou
"""
import os
import sys
import math
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 Dijkstra:
def __init__(self, s_start, s_goal):
self.s_start, self.s_goal = s_start, s_goal
self.Env = env.Env()
self.plotting = plotting.Plotting(self.s_start, self.s_goal)
self.u_set = self.Env.motions # feasible input set
self.obs = self.Env.obs # position of obstacles
self.g = {self.s_start: 0, self.s_goal: float("inf")} # cost to come
self.OPEN = queue.QueuePrior() # priority queue / OPEN set
self.OPEN.put(self.s_start, 0)
self.CLOSED = [] # closed set & visited
self.PARENT = {self.s_start: self.s_start}
def searching(self):
"""
Dijkstra Searching.
:return: path, order of visited nodes in the planning
"""
while not self.OPEN.empty():
s = self.OPEN.get()
self.CLOSED.append(s)
if s == self.s_goal:
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] = float("inf")
if new_cost < self.g[s_n]:
self.g[s_n] = new_cost
self.OPEN.put(s_n, new_cost)
self.PARENT[s_n] = s
return self.extract_path(), self.CLOSED
def get_neighbor(self, s):
"""
find neighbors of state s that not in obstacles.
:param s: state
:return: neighbors
"""
s_list = []
for u in self.u_set:
s_list.append(tuple([s[i] + u[i] for i in range(2)]))
return s_list
def extract_path(self):
"""
Extract the path based on PARENT set.
:return: The planning path
"""
path = [self.s_goal]
s = self.s_goal
while True:
s = self.PARENT[s]
path.append(s)
if s == self.s_start:
break
return list(path)
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 float("inf")
return math.hypot(s_goal[0] - s_start[0], s_goal[1] - s_start[1])
def is_collision(self, s_start, s_end):
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 main():
s_start = (5, 5)
s_goal = (45, 25)
dijkstra = Dijkstra(s_start, s_goal)
plot = plotting.Plotting(s_start, s_goal)
path, visited = dijkstra.searching()
plot.animation(path, visited, "Dijkstra's") # animation generate
if __name__ == '__main__':
main()