""" 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.g, self.rhs, self.U = {}, {}, {} self.km = 0 for i in range(1, self.Env.x_range - 1): for j in range(1, self.Env.y_range - 1): self.rhs[(i, j)] = float("inf") self.g[(i, j)] = float("inf") self.rhs[self.s_goal] = 0.0 self.U[self.s_goal] = self.CalculateKey(self.s_goal) self.visited = set() self.count = 0 self.fig = plt.figure() def run(self): self.Plot.plot_grid("D* Lite") 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 = [self.s_start] 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.count += 1 self.visited = set() self.ComputePath() self.plot_visited(self.visited) 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) self.visited.add(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_goal): """ Calculate Cost for this motion :param s_start: starting node :param s_goal: end node :return: Cost for this motion :note: Cost function could be more complicate! """ if self.is_collision(s_start, s_goal): return float("inf") return math.hypot(s_goal[0] - s_start[0], s_goal[1] - s_start[1]) def is_collision(self, s_start, s_end): if s_start in self.obs or s_end in self.obs: return True if s_start[0] != s_end[0] and s_start[1] != s_end[1]: if s_end[0] - s_start[0] == s_start[1] - s_end[1]: s1 = (min(s_start[0], s_end[0]), min(s_start[1], s_end[1])) s2 = (max(s_start[0], s_end[0]), max(s_start[1], s_end[1])) else: s1 = (min(s_start[0], s_end[0]), max(s_start[1], s_end[1])) s2 = (max(s_start[0], s_end[0]), min(s_start[1], s_end[1])) if s1 in self.obs or s2 in self.obs: return True return False 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): """ Extract the path based on the PARENT set. :return: The planning path """ path = [self.s_start] s = self.s_start for k in range(100): g_list = {} for x in self.get_neighbor(s): if not self.is_collision(s, x): g_list[x] = self.g[x] s = min(g_list, key=g_list.get) path.append(s) if s == self.s_goal: break return list(path) def plot_path(self, path): px = [x[0] for x in path] py = [x[1] for x in path] plt.plot(px, py, linewidth=2) plt.plot(self.s_start[0], self.s_start[1], "bs") plt.plot(self.s_goal[0], self.s_goal[1], "gs") def plot_visited(self, visited): color = ['gainsboro', 'lightgray', 'silver', 'darkgray', 'bisque', 'navajowhite', 'moccasin', 'wheat', 'powderblue', 'skyblue', 'lightskyblue', 'cornflowerblue'] if self.count >= len(color) - 1: self.count = 0 for x in visited: plt.plot(x[0], x[1], marker='s', color=color[self.count]) def main(): s_start = (5, 5) s_goal = (45, 25) dstar = DStar(s_start, s_goal, "euclidean") dstar.run() if __name__ == '__main__': main()