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