import env import plotting import numpy as np import math class Node: def __init__(self, n): self.x = n[0] self.y = n[1] self.path_x = [] self.path_y = [] self.parent = None class RRT: def __init__(self, xI, xG): self.xI = Node(xI) self.xG = Node(xG) self.expand_len = 0.8 self.goal_sample_rate = 0.05 self.iterations = 5000 self.node_list = [self.xI] 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_circle = self.env.obs self.obs_rectangle = self.env.obs_boundary self.path = self.planning() self.plotting.animation(self.node_list, self.path) def planning(self): 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_len) if not self.check_collision(node_new, self.obs_circle, self.obs_rectangle): self.node_list.append(node_new) if self.cal_dis_to_goal(self.node_list[-1]) <= self.expand_len: self.new_node(self.node_list[-1], self.xG, self.expand_len) return self.extract_path(self.node_list) return None 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_len): new_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_len: expand_len = d new_node.x += expand_len * math.cos(theta) new_node.y += expand_len * 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((np.random.uniform(self.x_range[0], self.x_range[1]), np.random.uniform(self.y_range[0], self.y_range[1]))) return self.xG def get_nearest_node(self, node_list, n): return self.node_list[int(np.argmin([math.hypot(nd.x - n.x, nd.y - n.y) for nd in node_list]))] @staticmethod def calc_distance_and_angle(from_node, to_node): dx = to_node.x - from_node.x dy = to_node.y - from_node.y return math.hypot(dx, dy), math.atan2(dy, dx) @staticmethod def check_collision(node_end, obs_circle, obs_rectangle): if node_end is None: return True for (ox, oy, r) in obs_circle: if math.hypot(node_end.x - ox, node_end.y - oy) <= r: return True for (ox, oy, w, h) in obs_rectangle: if 0 <= (node_end.x - ox) <= w and 0 <= (node_end.y - oy) <= h: return True return False if __name__ == '__main__': x_Start = (15, 5) # Starting node x_Goal = (45, 25) # Goal node rrt = RRT(x_Start, x_Goal)