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- """
- LPA_star 2D
- @author: huiming zhou
- """
- import os
- import sys
- import matplotlib.pyplot as plt
- sys.path.append(os.path.dirname(os.path.abspath(__file__)) +
- "/../../Search-based Planning/")
- from Search_2D import queue
- from Search_2D import plotting
- from Search_2D import env
- class LpaStar:
- 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.U = queue.QueuePrior() # priority queue / OPEN set
- self.g, self.rhs = {}, {}
- for i in range(self.Env.x_range):
- for j in range(self.Env.y_range):
- self.rhs[(i, j)] = float("inf")
- self.g[(i, j)] = float("inf")
- self.rhs[self.xI] = 0
- self.U.put(self.xI, self.CalculateKey(self.xI))
- def searching(self):
- self.computePath()
- path = [self.extract_path()]
- obs_change = set()
- for j in range(14, 15):
- self.obs.add((30, j))
- obs_change.add((30, j))
- for s in obs_change:
- self.rhs[s] = float("inf")
- self.g[s] = float("inf")
- for x in self.get_neighbor(s):
- self.UpdateVertex(x)
- # for x in obs_change:
- # self.obs.remove(x)
- # for x in obs_change:
- # self.UpdateVertex(x)
- print(self.g[(29, 15)])
- print(self.g[(29, 14)])
- print(self.g[(29, 13)])
- print(self.g[(30, 13)])
- print(self.g[(31, 13)])
- print(self.g[(32, 13)])
- print(self.g[(33, 13)])
- print(self.g[(34, 13)])
- self.computePath()
- path.append(self.extract_path_test())
- return path, obs_change
- def computePath(self):
- while self.U.top_key() < self.CalculateKey(self.xG) \
- or self.rhs[self.xG] != self.g[self.xG]:
- s = self.U.get()
- if self.g[s] > self.rhs[s]:
- self.g[s] = self.rhs[s]
- else:
- self.g[s] = float("inf")
- self.UpdateVertex(s)
- for x in self.get_neighbor(s):
- self.UpdateVertex(x)
- # return self.extract_path()
- def extract_path(self):
- path = []
- s = self.xG
- while True:
- g_list = {}
- for x in self.get_neighbor(s):
- g_list[x] = self.g[x]
- s = min(g_list, key=g_list.get)
- if s == self.xI:
- return list(reversed(path))
- path.append(s)
- def extract_path_test(self):
- path = []
- s = self.xG
- for k in range(30):
- g_list = {}
- for x in self.get_neighbor(s):
- g_list[x] = self.g[x]
- s = min(g_list, key=g_list.get)
- path.append(s)
- return list(reversed(path))
- def get_neighbor(self, s):
- nei_list = set()
- for u in self.u_set:
- s_next = tuple([s[i] + u[i] for i in range(2)])
- if s_next not in self.obs:
- nei_list.add(s_next)
- return nei_list
- def CalculateKey(self, s):
- return [min(self.g[s], self.rhs[s]) + self.h(s),
- min(self.g[s], self.rhs[s])]
- def UpdateVertex(self, u):
- if u != self.xI:
- u_min = float("inf")
- for x in self.get_neighbor(u):
- u_min = min(u_min, self.g[x] + self.get_cost(u, x))
- self.rhs[u] = u_min
- self.U.check_remove(u)
- if self.g[u] != self.rhs[u]:
- self.U.put(u, self.CalculateKey(u))
- def h(self, s):
- heuristic_type = self.heuristic_type # heuristic type
- goal = self.xG # goal node
- if heuristic_type == "manhattan":
- return abs(goal[0] - s[0]) + abs(goal[1] - s[1])
- elif heuristic_type == "euclidean":
- return ((goal[0] - s[0]) ** 2 + (goal[1] - s[1]) ** 2) ** (1 / 2)
- else:
- print("Please choose right heuristic type!")
- def get_cost(self, s_start, s_end):
- """
- Calculate cost for this motion
- :param s_start:
- :param s_end:
- :return: cost for this motion
- :note: cost function could be more complicate!
- """
- if s_start not in self.obs:
- if s_end not in self.obs:
- return 1
- else:
- return float("inf")
- return float("inf")
- def main():
- x_start = (5, 5)
- x_goal = (45, 25)
- lpastar = LpaStar(x_start, x_goal, "euclidean")
- plot = plotting.Plotting(x_start, x_goal)
- path, obs = lpastar.searching()
- plot.plot_grid("Lifelong Planning A*")
- p = path[0]
- px = [x[0] for x in p]
- py = [x[1] for x in p]
- plt.plot(px, py, marker='o')
- plt.pause(0.5)
- p = path[1]
- px = [x[0] for x in p]
- py = [x[1] for x in p]
- plt.plot(px, py, marker='o')
- plt.pause(0.01)
- plt.show()
- if __name__ == '__main__':
- main()
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