""" 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()