""" Optimal_Bidirectional_RRT 2D @author: huiming zhou """ import os import sys import math import numpy as np import matplotlib.pyplot as plt import matplotlib.patches as patches sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Sampling-based Planning/") from rrt_2D import env from rrt_2D import plotting from rrt_2D import utils from rrt_2D import queue class Node: def __init__(self, n): self.x = n[0] self.y = n[1] self.parent = None class OBiRrt: def __init__(self, x_start, x_goal, step_len, goal_sample_rate, search_radius, iter_max): self.x_init = Node(x_start) self.x_goal = Node(x_goal) self.step_len = step_len self.goal_sample_rate = goal_sample_rate self.search_radius = search_radius self.iter_max = iter_max self.Ta = [self.x_init] self.Tb = [self.x_goal] self.c_best = np.inf self.sigma_best = {} self.path = [] self.visited = [] self.env = env.Env() self.plotting = plotting.Plotting(x_start, x_goal) self.utils = utils.Utils() # self.fig, self.ax = plt.subplots() self.x_range = self.env.x_range self.y_range = self.env.y_range self.obs_circle = self.env.obs_circle self.obs_rectangle = self.env.obs_rectangle self.obs_boundary = self.env.obs_boundary def planning(self): for k in range(self.iter_max): x_rand = self.generate_random_node(self.x_goal, self.goal_sample_rate) x_nearest = self.nearest_neighbor(self.Ta, x_rand) x_new = self.steer(x_nearest, x_rand) X_near_ind = self.nearest_neighbor(self.Ta, x_new) L_near = [] for x_near_ind in X_near_ind: x_near = self.Ta[x_near_ind] sigma_near = self.steer(x_near, x_new) c_near = self.cost(x_near) + self.cost(sigma_near) L_near.append((c_near, x_near, sigma_near)) L_near.sort() for c_near, x_near, sigma_near in L_near: if c_near + self.cost_to_go() def cost_to_go(self, x_start, x_goal): return math.hypot(x_goal.x - x_start.x, x_goal.y - x_start.y) def generate_random_node(self, goal_point, goal_sample_rate): delta = self.utils.delta if np.random.random() > goal_sample_rate: return Node((np.random.uniform(self.x_range[0] + delta, self.x_range[1] - delta), np.random.uniform(self.y_range[0] + delta, self.y_range[1] - delta))) return goal_point @staticmethod def nearest_neighbor(V, node): return V[int(np.argmin([math.hypot(nd.x - node.x, nd.y - node.y) for nd in V]))] def steer(self, node_start, node_goal): dist, theta = self.get_distance_and_angle(node_start, node_goal) dist = min(self.step_len, dist) node_new = Node((node_start.x + dist * math.cos(theta), node_start.y + dist * math.sin(theta))) node_new.parent = node_start return node_new def find_near_neighbor(self, V, node): n = len(V) + 1 r = min(self.search_radius * math.sqrt((math.log(n) / n)), self.step_len) dist_table = [(nd.x - node.x) ** 2 + (nd.y - node.y) ** 2 for nd in V] dist_table_index = [ind for ind in range(len(dist_table)) if dist_table[ind] <= r and not self.utils.is_collision(node, V[ind])] return dist_table_index def get_new_cost(self, node_start, node_end): dist, _ = self.get_distance_and_angle(node_start, node_end) return self.cost(node_start) + dist @staticmethod def cost(node_p): node = node_p cost = 0.0 while node.parent: cost += math.hypot(node.x - node.parent.x, node.y - node.parent.y) node = node.parent return cost @staticmethod def get_distance_and_angle(node_start, node_end): dx = node_end.x - node_start.x dy = node_end.y - node_start.y return math.hypot(dx, dy), math.atan2(dy, dx)