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- """
- 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()
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