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- import queue
- import plotting
- import env
- import matplotlib.pyplot as plt
- class AraStar:
- def __init__(self, x_start, x_goal, heuristic_type):
- self.xI, self.xG = x_start, x_goal
- self.heuristic_type = heuristic_type
- self.Env = env.Env() # class Env
- self.u_set = self.Env.motions # feasible input set
- self.obs = self.Env.obs # position of obstacles
- self.e = 2.5
- self.g = {self.xI: 0, self.xG: float("inf")}
- self.fig_name = "ARA_Star Algorithm"
- self.OPEN = queue.QueuePrior() # priority queue / OPEN
- self.CLOSED = []
- self.INCONS = []
- self.parent = {self.xI: self.xI}
- self.path = []
- self.visited = []
- def searching(self):
- self.OPEN.put(self.xI, self.fvalue(self.xI))
- self.ImprovePath()
- self.path.append(self.extract_path())
- while self.update_e() > 1:
- self.e -= 0.5
- print(self.e)
- OPEN_mid = [x for (p, x) in self.OPEN.enumerate()] + self.INCONS
- self.OPEN = queue.QueuePrior()
- self.OPEN.put(self.xI, self.fvalue(self.xI))
- for x in OPEN_mid:
- self.OPEN.put(x, self.fvalue(x))
- self.INCONS = []
- self.CLOSED = []
- self.ImprovePath()
- self.path.append(self.extract_path())
- return self.path, self.visited
- def ImprovePath(self):
- visited_each = []
- while (self.fvalue(self.xG) >
- min([self.fvalue(x) for (p, x) in self.OPEN.enumerate()])):
- s = self.OPEN.get()
- if s not in self.CLOSED:
- self.CLOSED.append(s)
- for u_next in self.u_set:
- s_next = tuple([s[i] + u_next[i] for i in range(len(s))])
- if s_next not in self.obs:
- new_cost = self.g[s] + self.get_cost(s, u_next)
- if s_next not in self.g or new_cost < self.g[s_next]:
- self.g[s_next] = new_cost
- self.parent[s_next] = s
- visited_each.append(s_next)
- if s_next not in self.CLOSED:
- self.OPEN.put(s_next, self.fvalue(s_next))
- else:
- self.INCONS.append(s_next)
- self.visited.append(visited_each)
- def update_e(self):
- c_OPEN, c_INCONS = float("inf"), float("inf")
- if not self.OPEN.empty():
- c_OPEN = min(self.g[x] + self.Heuristic(x) for (p, x) in self.OPEN.enumerate())
- if len(self.INCONS) != 0:
- c_INCONS = min(self.g[x] + self.Heuristic(x) for x in self.INCONS)
- if min(c_OPEN, c_INCONS) == float("inf"):
- return 1
- return min(self.e, self.g[self.xG] / min(c_OPEN, c_INCONS))
- def fvalue(self, x):
- h = self.e * self.Heuristic(x)
- return self.g[x] + h
- def extract_path(self):
- """
- Extract the path based on the relationship of nodes.
- :param policy: Action needed for transfer between two nodes
- :return: The planning path
- """
- path_back = [self.xG]
- x_current = self.xG
- while True:
- x_current = self.parent[x_current]
- path_back.append(x_current)
- if x_current == self.xI:
- break
- return list(path_back)
- @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
- def Heuristic(self, state):
- """
- Calculate heuristic.
- :param state: current node (state)
- :param goal: goal node (state)
- :param heuristic_type: choosing different heuristic functions
- :return: heuristic
- """
- heuristic_type = self.heuristic_type
- goal = self.xG
- if heuristic_type == "manhattan":
- return abs(goal[0] - state[0]) + abs(goal[1] - state[1])
- elif heuristic_type == "euclidean":
- return ((goal[0] - state[0]) ** 2 + (goal[1] - state[1]) ** 2) ** (1 / 2)
- else:
- print("Please choose right heuristic type!")
- def main():
- x_start = (5, 5) # Starting node
- x_goal = (49, 5) # Goal node
- arastar = AraStar(x_start, x_goal, "manhattan")
- plot = plotting.Plotting(x_start, x_goal)
- fig_name = "ARA* algorithm"
- path, visited = arastar.searching()
- plot.animation_ara_star(path, visited, fig_name)
- if __name__ == '__main__':
- main()
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