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- #!/usr/bin/env python3
- # -*- coding: utf-8 -*-
- """
- @author: huiming zhou
- """
- 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
- def get_cost(self, 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 extract_path(self, 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)
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