""" Dijkstra 2D @author: huiming zhou """ import os import sys import math import heapq sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Search_based_Planning/") from Search_based_Planning.Search_2D import plotting, env class Dijkstra: def __init__(self, s_start, s_goal): self.s_start = s_start self.s_goal = 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.OPEN = [] # priority queue / OPEN set self.CLOSED = [] # closed set & visited self.PARENT = dict() # record parent self.g = dict() # Cost to come def searching(self): """ Dijkstra 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, (0, self.s_start)) while self.OPEN: _, s = heapq.heappop(self.OPEN) 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] = math.inf if new_cost < self.g[s_n]: self.g[s_n] = new_cost heapq.heappush(self.OPEN, (new_cost, s_n)) 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 """ return [(s[0] + u[0], s[1] + u[1]) for u in self.u_set] 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 """ 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 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()