import env import plotting import node import numpy as np import math import matplotlib.pyplot as plt import matplotlib.patches as patches class Node: def __init__(self, x, y): self.x = x self.y = y self.path_x = [] self.path_y = [] self.parent = None class RRT: def __init__(self, xI, xG): self.xI = Node(xI[0], xI[1]) self.xG = node.Node(xG[0], xG[1]) self.env = env.Env() # self.plotting = plotting.Plotting(xI, xG) self.x_range = self.env.x_range self.y_range = self.env.y_range # self.obs_boundary = self.env.obs_boundary # self.obs_circle = self.env.obs_circle self.obstacleList = [ (5, 5, 1), (3, 6, 2), (3, 8, 2), (3, 10, 2), (7, 5, 2), (9, 5, 2), (8, 10, 1) ] # [x, y, radius] self.expand_range = 0.8 self.goal_sample_rate = 0.05 self.iterations = 500 self.node_list = [] path = self.planning() if path is None: print("No path!") else: print("get it!") self.draw_graph() plt.plot([x[0] for x in path], [x[1] for x in path], '-r') plt.grid(True) plt.pause(0.01) # Need for Mac plt.show() def planning(self): self.node_list = [self.xI] for i in range(self.iterations): node_rand = self.generate_random_node() node_near = self.get_nearest_node(self.node_list, node_rand) node_new = self.new_node(node_near, node_rand, self.expand_range) if not self.check_collision(node_new, self.obstacleList): self.node_list.append(node_new) self.draw_graph(node_rand) if self.cal_dis_to_goal(self.node_list[-1]) <= self.expand_range: node_end = self.new_node(self.node_list[-1], node.Node(self.xG.x, self.xG.y), self.expand_range) if not self.check_collision(node_end, self.obstacleList): return self.extract_path(self.node_list) return None def draw_graph(self, rnd=None): plt.clf() # for stopping simulation with the esc key. plt.gcf().canvas.mpl_connect('key_release_event', lambda event: [exit(0) if event.key == 'escape' else None]) if rnd is not None: plt.plot(rnd.x, rnd.y, "^k") for node_x in self.node_list: if node_x.parent: plt.plot(node_x.path_x, node_x.path_y, "-g") for (ox, oy, size) in self.obstacleList: self.plot_circle(ox, oy, size) plt.plot(self.xI.x, self.xI.y, "xr") plt.plot(self.xG.x, self.xG.y, "xr") plt.axis("equal") plt.axis([-2, 15, -2, 15]) plt.grid(True) plt.pause(0.01) @staticmethod def plot_circle(x, y, size, color="-b"): # pragma: no cover deg = list(range(0, 360, 5)) deg.append(0) xl = [x + size * math.cos(np.deg2rad(d)) for d in deg] yl = [y + size * math.sin(np.deg2rad(d)) for d in deg] plt.plot(xl, yl, color) def extract_path(self, nodelist): path = [(self.xG.x, self.xG.y)] node_now = nodelist[-1] while node_now.parent is not None: node_now = node_now.parent path.append((node_now.x, node_now.y)) return path def cal_dis_to_goal(self, node_cal): return math.hypot((node_cal.x - self.xG.x), (node_cal.y - self.xG.y)) def new_node(self, node_start, node_goal, expand_range): new_node = node.Node(node_start.x, node_start.y) d, theta = self.calc_distance_and_angle(new_node, node_goal) new_node.path_x = [new_node.x] new_node.path_y = [new_node.y] if d < expand_range: expand_range = d new_node.x += expand_range * math.cos(theta) new_node.y += expand_range * math.sin(theta) new_node.path_x.append(new_node.x) new_node.path_y.append(new_node.y) new_node.parent = node_start return new_node def generate_random_node(self): if np.random.random() > self.goal_sample_rate: return node.Node(np.random.uniform(self.x_range[0], self.x_range[1]), np.random.uniform(self.y_range[0], self.y_range[1])) else: return node.Node(self.xG.x, self.xG.y) def get_nearest_node(self, node_list, node_random): dlist = [(nod.x - node_random.x) ** 2 + (nod.y - node_random.y) ** 2 for nod in node_list] minind = dlist.index(min(dlist)) return self.node_list[minind] @staticmethod def calc_distance_and_angle(from_node, to_node): dx = to_node.x - from_node.x dy = to_node.y - from_node.y d = math.hypot(dx, dy) theta = math.atan2(dy, dx) return d, theta def check_collision(self, node_check, obstacleList): if node_check is None: return True for (ox, oy, size) in obstacleList: dx_list = [ox - x for x in node_check.path_x] dy_list = [oy - y for y in node_check.path_y] d_list = [dx * dx + dy * dy for (dx, dy) in zip(dx_list, dy_list)] if min(d_list) <= size ** 2: return True # collision return False # safe # # def check_collision(self, node_check): # for obs in self.obs_boundary: # dx = node_check.x - obs[0] # dy = node_check.y - obs[1] # if 0 <= dx <= obs[2] and 0 <= dy <= obs[2]: # return True # # for obs in self.obs_circle: # d = (node_check.x - obs[0]) ** 2 + (node_check.y - obs[1]) ** 2 # if d <= obs[2] ** 2: # return True # # return False if __name__ == '__main__': x_Start = (0, 0) # Starting node x_Goal = (6, 10) # Goal node rrt = RRT(x_Start, x_Goal)