import queue import env import plotting class Dijkstra: def __init__(self, x_start, x_goal): self.xI, self.xG = x_start, x_goal self.Env = env.Env() self.plotting = plotting.Plotting(self.xI, self.xG) self.u_set = self.Env.motions # feasible input set self.obs = self.Env.obs # position of obstacles [self.path, self.policy, self.visited] = self.searching(self.xI, self.xG) self.fig_name = "Dijkstra's Algorithm" self.plotting.animation(self.path, self.visited, self.fig_name) # animation generate def searching(self, xI, xG): """ Searching using Dijkstra. :return: planning path, action in each node, visited nodes in the planning process """ q_dijk = queue.QueuePrior() # priority queue q_dijk.put(xI, 0) parent = {xI: xI} # record parents of nodes action = {xI: (0, 0)} # record actions of nodes visited = [] # record visited nodes cost = {xI: 0} while not q_dijk.empty(): x_current = q_dijk.get() if x_current == xG: # stop condition break visited.append(x_current) for u_next in self.u_set: # explore neighborhoods of current node x_next = tuple([x_current[i] + u_next[i] for i in range(len(x_current))]) if x_next not in self.obs: # node not visited and not in obstacles new_cost = cost[x_current] + self.get_cost(x_current, u_next) if x_next not in cost or new_cost < cost[x_next]: cost[x_next] = new_cost priority = new_cost q_dijk.put(x_next, priority) # put node into queue using cost to come as priority parent[x_next], action[x_next] = x_current, u_next [path, policy] = self.extract_path(xI, xG, parent, action) return path, policy, visited @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 @staticmethod def extract_path(xI, xG, parent, policy): """ Extract the path based on the relationship of nodes. :param xI: Starting node :param xG: Goal node :param parent: Relationship between nodes :param policy: Action needed for transfer between two nodes :return: The planning path """ path_back = [xG] acts_back = [policy[xG]] x_current = xG while True: x_current = parent[x_current] path_back.append(x_current) acts_back.append(policy[x_current]) if x_current == xI: break return list(path_back), list(acts_back) if __name__ == '__main__': x_Start = (5, 5) # Starting node x_Goal = (49, 5) # Goal node dijkstra = Dijkstra(x_Start, x_Goal)