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- """
- LPA_star 2D
- @author: huiming zhou
- """
- import os
- import sys
- import math
- 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.s_start, self.s_goal = x_start, x_goal
- self.heuristic_type = heuristic_type
- self.Env = env.Env()
- self.Plot = plotting.Plotting(x_start, x_goal)
- self.u_set = self.Env.motions
- self.obs = self.Env.obs
- self.x = self.Env.x_range
- self.y = self.Env.y_range
- self.U = queue.QueuePrior()
- 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.s_start] = 0
- self.U.put(self.s_start, self.Key(self.s_start))
- self.fig = plt.figure()
- def run(self):
- self.Plot.plot_grid("Lifelong Planning A*")
- self.ComputePath()
- self.plot_path(self.extract_path())
- self.fig.canvas.mpl_connect('button_press_event', self.on_press)
- plt.show()
- def on_press(self, event):
- x, y = event.xdata, event.ydata
- if x < 0 or x > self.x - 1 or y < 0 or y > self.y - 1:
- print("Please choose right area!")
- else:
- x, y = int(x), int(y)
- print("Change position: x =", x, ",", "y =", y)
- if (x, y) not in self.obs:
- self.obs.add((x, y))
- plt.plot(x, y, 'sk')
- else:
- self.obs.remove((x, y))
- plt.plot(x, y, marker='s', color='white')
- self.UpdateVertex((x, y))
- for s_n in self.get_neighbor((x, y)):
- self.UpdateVertex(s_n)
- self.ComputePath()
- self.plot_path(self.extract_path())
- self.fig.canvas.draw_idle()
- def ComputePath(self):
- while self.U.top_key() < self.Key(self.s_goal) or \
- self.rhs[self.s_goal] != self.g[self.s_goal]:
- s = self.U.get()
- if self.g[s] > self.rhs[s]: # over-consistent: deleted obstacles
- self.g[s] = self.rhs[s]
- else: # under-consistent: added obstacles
- self.g[s] = float("inf")
- self.UpdateVertex(s)
- for s_n in self.get_neighbor(s):
- self.UpdateVertex(s_n)
- def UpdateVertex(self, s):
- if s != self.s_start:
- self.rhs[s] = min([self.g[s_n] + self.cost(s_n, s)
- for s_n in self.get_neighbor(s)])
- self.U.remove(s)
- if self.g[s] != self.rhs[s]:
- self.U.put(s, self.Key(s))
- def get_neighbor(self, s):
- """
- find neighbors of state s that not in obstacles.
- :param s: state
- :return: neighbors
- """
- s_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:
- s_list.add(s_next)
- return s_list
- def Key(self, s):
- return [min(self.g[s], self.rhs[s]) + self.h(s),
- min(self.g[s], self.rhs[s])]
- def h(self, s):
- heuristic_type = self.heuristic_type # heuristic type
- goal = self.s_goal # goal node
- if heuristic_type == "manhattan":
- return abs(goal[0] - s[0]) + abs(goal[1] - s[1])
- else:
- return math.hypot(goal[0] - s[0], goal[1] - s[1])
- def cost(self, s_start, s_end):
- if s_start in self.obs or s_end in self.obs:
- return float("inf")
- return 1
- def extract_path(self):
- path = []
- s = self.s_goal
- for k in range(100):
- 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.s_start:
- break
- path.append(s)
- return list(reversed(path))
- @staticmethod
- def plot_path(path):
- px = [x[0] for x in path]
- py = [x[1] for x in path]
- plt.plot(px, py, marker='o')
- def print_g(self):
- print("he")
- for k in range(self.Env.y_range):
- j = self.Env.y_range - k - 1
- string = ""
- for i in range(self.Env.x_range):
- if self.g[(i, j)] == float("inf"):
- string += ("00" + ', ')
- else:
- if self.g[(i, j)] // 10 == 0:
- string += ("0" + str(self.g[(i, j)]) + ', ')
- else:
- string += (str(self.g[(i, j)]) + ', ')
- print(string)
- def main():
- x_start = (5, 5)
- x_goal = (45, 25)
- lpastar = LpaStar(x_start, x_goal, "manhattan")
- lpastar.run()
- if __name__ == '__main__':
- main()
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