""" D_star_Lite 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 plotting from Search_2D import env class DStar: def __init__(self, s_start, s_goal, heuristic_type): self.s_start, self.s_goal = s_start, s_goal self.heuristic_type = heuristic_type self.Env = env.Env() # class Env self.Plot = plotting.Plotting(s_start, s_goal) self.u_set = self.Env.motions # feasible input set self.obs = self.Env.obs # position of obstacles self.x = self.Env.x_range self.y = self.Env.y_range self.U = {} self.g, self.rhs = {}, {} self.km = 0 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_goal] = 0 self.U[self.s_goal] = self.CalculateKey(self.s_goal) self.fig = plt.figure() def run(self): self.Plot.plot_grid("Dynamic A* (D*)") 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) s_curr = self.s_start s_last = self.s_start i = 0 path = [] while s_curr != self.s_goal: s_list = {} for s in self.get_neighbor(s_curr): s_list[s] = self.g[s] + self.cost(s_curr, s) s_curr = min(s_list, key=s_list.get) path.append(s_curr) if i < 1: self.km += self.h(s_last, s_curr) s_last = s_curr if (x, y) not in self.obs: self.obs.add((x, y)) plt.plot(x, y, 'sk') self.g[(x, y)] = float("inf") self.rhs[(x, y)] = float("inf") else: self.obs.remove((x, y)) plt.plot(x, y, marker='s', color='white') self.UpdateVertex((x, y)) for s in self.get_neighbor((x, y)): self.UpdateVertex(s) i += 1 self.ComputePath() self.plot_path(path) self.fig.canvas.draw_idle() def ComputePath(self): while True: s, v = self.TopKey() if v >= self.CalculateKey(self.s_start) and \ self.rhs[self.s_start] == self.g[self.s_start]: break k_old = v self.U.pop(s) if k_old < self.CalculateKey(s): self.U[s] = self.CalculateKey(s) elif self.g[s] > self.rhs[s]: self.g[s] = self.rhs[s] for x in self.get_neighbor(s): self.UpdateVertex(x) else: self.g[s] = float("inf") self.UpdateVertex(s) for x in self.get_neighbor(s): self.UpdateVertex(x) def UpdateVertex(self, s): if s != self.s_goal: self.rhs[s] = float("inf") for x in self.get_neighbor(s): self.rhs[s] = min(self.rhs[s], self.g[x] + self.cost(s, x)) if s in self.U: self.U.pop(s) if self.g[s] != self.rhs[s]: self.U[s] = self.CalculateKey(s) def CalculateKey(self, s): return [min(self.g[s], self.rhs[s]) + self.h(self.s_start, s) + self.km, min(self.g[s], self.rhs[s])] def TopKey(self): """ :return: return the min key and its value. """ s = min(self.U, key=self.U.get) return s, self.U[s] def h(self, s_start, s_goal): heuristic_type = self.heuristic_type # heuristic type if heuristic_type == "manhattan": return abs(s_goal[0] - s_start[0]) + abs(s_goal[1] - s_start[1]) else: return math.hypot(s_goal[0] - s_start[0], s_goal[1] - s_start[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 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 extract_path(self): path = [] s = self.s_start count = 0 while True: count += 1 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_goal or count > 100: return list(reversed(path)) path.append(s) @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 main(): s_start = (5, 5) s_goal = (45, 25) dstar = DStar(s_start, s_goal, "euclidean") dstar.run() if __name__ == '__main__': main()