D_star_Lite.py 6.3 KB

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  1. """
  2. D_star_Lite 2D
  3. @author: huiming zhou
  4. """
  5. import os
  6. import sys
  7. import math
  8. import matplotlib.pyplot as plt
  9. sys.path.append(os.path.dirname(os.path.abspath(__file__)) +
  10. "/../../Search-based Planning/")
  11. from Search_2D import queue
  12. from Search_2D import plotting
  13. from Search_2D import env
  14. class LpaStar:
  15. def __init__(self, x_start, x_goal, heuristic_type):
  16. self.xI, self.xG = x_start, x_goal
  17. self.heuristic_type = heuristic_type
  18. self.Env = env.Env() # class Env
  19. self.Plot = plotting.Plotting(x_start, x_goal)
  20. self.u_set = self.Env.motions # feasible input set
  21. self.obs = self.Env.obs # position of obstacles
  22. self.x = self.Env.x_range
  23. self.y = self.Env.y_range
  24. self.U = queue.QueuePrior() # priority queue / U set
  25. self.g, self.rhs = {}, {}
  26. self.km = 0
  27. for i in range(self.Env.x_range):
  28. for j in range(self.Env.y_range):
  29. self.rhs[(i, j)] = float("inf")
  30. self.g[(i, j)] = float("inf")
  31. self.rhs[self.xG] = 0
  32. self.U.put(self.xG, self.Key(self.xG))
  33. self.fig = plt.figure()
  34. def searching(self):
  35. self.Plot.plot_grid("Lifelong Planning A*")
  36. self.ComputePath()
  37. self.plot_path(self.extract_path_test())
  38. # self.fig.canvas.mpl_connect('button_press_event', self.on_press)
  39. plt.show()
  40. def on_press(self, event):
  41. x, y = event.xdata, event.ydata
  42. if x < 0 or x > self.x - 1 or y < 0 or y > self.y - 1:
  43. print("Please choose right area!")
  44. else:
  45. x, y = int(x), int(y)
  46. print("Change position: x =", x, ",", "y =", y)
  47. if (x, y) not in self.obs:
  48. self.obs.add((x, y))
  49. plt.plot(x, y, 'sk')
  50. self.rhs[(x, y)] = float("inf")
  51. self.g[(x, y)] = float("inf")
  52. for node in self.getSucc((x, y)):
  53. self.UpdateVertex(node)
  54. else:
  55. self.obs.remove((x, y))
  56. plt.plot(x, y, marker='s', color='white')
  57. self.UpdateVertex((x, y))
  58. self.ComputePath()
  59. self.plot_path(self.extract_path_test())
  60. self.fig.canvas.draw_idle()
  61. @staticmethod
  62. def plot_path(path):
  63. px = [x[0] for x in path]
  64. py = [x[1] for x in path]
  65. plt.plot(px, py, marker='o')
  66. def ComputePath(self):
  67. count = 0
  68. while self.U.top_key() < self.Key(self.xI) or \
  69. self.rhs[self.xI] != self.g[self.xI]:
  70. count += 1
  71. print(count)
  72. k_old = self.U.top_key()
  73. s = self.U.get()
  74. if k_old < self.Key(s):
  75. self.U.put(s, self.Key(s))
  76. elif self.g[s] > self.rhs[s]:
  77. self.g[s] = self.rhs[s]
  78. for x in self.getPred(s):
  79. self.UpdateVertex(x)
  80. else:
  81. self.g[s] = float("inf")
  82. self.UpdateVertex(s)
  83. for x in self.getPred(s):
  84. self.UpdateVertex(x)
  85. def getSucc(self, s):
  86. nei_list = set()
  87. for u in self.u_set:
  88. s_next = tuple([s[i] + u[i] for i in range(2)])
  89. if s_next not in self.obs and self.g[s_next] >= self.g[s]:
  90. nei_list.add(s_next)
  91. return nei_list
  92. def getPred(self, s):
  93. nei_list = set()
  94. for u in self.u_set:
  95. s_next = tuple([s[i] + u[i] for i in range(2)])
  96. if s_next not in self.obs and self.g[s_next] <= self.g[s]:
  97. nei_list.add(s_next)
  98. return nei_list
  99. def UpdateVertex(self, s):
  100. if s != self.xG:
  101. self.rhs[s] = float("inf")
  102. for x in self.getSucc(s):
  103. self.rhs[s] = min(self.rhs[s], self.g[x] + self.get_cost(s, x))
  104. self.U.remove(s)
  105. if self.g[s] != self.rhs[s]:
  106. self.U.put(s, self.Key(s))
  107. def extract_path_test(self):
  108. path = []
  109. s = self.xG
  110. for k in range(100):
  111. g_list = {}
  112. for x in self.get_neighbor(s):
  113. g_list[x] = self.g[x]
  114. s = min(g_list, key=g_list.get)
  115. if s == self.xI:
  116. return list(reversed(path))
  117. path.append(s)
  118. return list(reversed(path))
  119. def Key(self, s):
  120. return [min(self.g[s], self.rhs[s]) + self.h(s) + self.km,
  121. min(self.g[s], self.rhs[s])]
  122. def h(self, s):
  123. heuristic_type = self.heuristic_type # heuristic type
  124. s_start = self.xI # goal node
  125. if heuristic_type == "manhattan":
  126. return abs(s[0] - s_start[0]) + abs(s[1] - s_start[1])
  127. else:
  128. return math.hypot(s[0] - s_start[0], s[1] - s_start[1])
  129. @staticmethod
  130. def get_cost(s_start, s_end):
  131. """
  132. Calculate cost for this motion
  133. :param s_start:
  134. :param s_end:
  135. :return: cost for this motion
  136. :note: cost function could be more complicate!
  137. """
  138. return 1
  139. def get_neighbor(self, s):
  140. nei_list = set()
  141. for u in self.u_set:
  142. s_next = tuple([s[i] + u[i] for i in range(2)])
  143. if s_next not in self.obs:
  144. nei_list.add(s_next)
  145. return nei_list
  146. def extract_path(self):
  147. path = []
  148. s = self.xG
  149. while True:
  150. g_list = {}
  151. for x in self.get_neighbor(s):
  152. g_list[x] = self.g[x]
  153. s = min(g_list, key=g_list.get)
  154. if s == self.xI:
  155. return list(reversed(path))
  156. path.append(s)
  157. def print_g(self):
  158. print("he")
  159. for k in range(self.Env.y_range):
  160. j = self.Env.y_range - k - 1
  161. string = ""
  162. for i in range(self.Env.x_range):
  163. if self.g[(i, j)] == float("inf"):
  164. string += ("00" + ', ')
  165. else:
  166. if self.g[(i, j)] // 10 == 0:
  167. string += ("0" + str(self.g[(i, j)]) + ', ')
  168. else:
  169. string += (str(self.g[(i, j)]) + ', ')
  170. print(string)
  171. def main():
  172. x_start = (5, 5)
  173. x_goal = (45, 25)
  174. lpastar = LpaStar(x_start, x_goal, "euclidean")
  175. lpastar.searching()
  176. if __name__ == '__main__':
  177. main()