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- """
- RRT_star 2D
- @author: huiming zhou
- """
- import os
- import sys
- import math
- import numpy as np
- 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 RrtStar:
- def __init__(self, x_start, x_goal, step_len,
- goal_sample_rate, search_radius, iter_max):
- self.s_start = Node(x_start)
- self.s_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.vertex = [self.s_start]
- self.path = []
- self.env = env.Env()
- self.plotting = plotting.Plotting(x_start, x_goal)
- self.utils = utils.Utils()
- 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):
- node_rand = self.generate_random_node(self.goal_sample_rate)
- node_near = self.nearest_neighbor(self.vertex, node_rand)
- node_new = self.new_state(node_near, node_rand)
- if k % 500 == 0:
- print(k)
- if node_new and not self.utils.is_collision(node_near, node_new):
- neighbor_index = self.find_near_neighbor(node_new)
- self.vertex.append(node_new)
- if neighbor_index:
- self.choose_parent(node_new, neighbor_index)
- self.rewire(node_new, neighbor_index)
- index = self.search_goal_parent()
- self.path = self.extract_path(self.vertex[index])
- self.plotting.animation(self.vertex, self.path, "rrt*, N = " + str(self.iter_max))
- def new_state(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 choose_parent(self, node_new, neighbor_index):
- cost = [self.get_new_cost(self.vertex[i], node_new) for i in neighbor_index]
- cost_min_index = neighbor_index[int(np.argmin(cost))]
- node_new.parent = self.vertex[cost_min_index]
- def rewire(self, node_new, neighbor_index):
- for i in neighbor_index:
- node_neighbor = self.vertex[i]
- if self.cost(node_neighbor) > self.get_new_cost(node_new, node_neighbor):
- node_neighbor.parent = node_new
- def search_goal_parent(self):
- dist_list = [math.hypot(n.x - self.s_goal.x, n.y - self.s_goal.y) for n in self.vertex]
- node_index = [i for i in range(len(dist_list)) if dist_list[i] <= self.step_len]
- if len(node_index) > 0:
- cost_list = [dist_list[i] + self.cost(self.vertex[i]) for i in node_index
- if not self.utils.is_collision(self.vertex[i], self.s_goal)]
- return node_index[int(np.argmin(cost_list))]
- return len(self.vertex) - 1
- 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
- def generate_random_node(self, 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 self.s_goal
- def find_near_neighbor(self, node_new):
- n = len(self.vertex) + 1
- r = min(self.search_radius * math.sqrt((math.log(n) / n)), self.step_len)
- dist_table = [math.hypot(nd.x - node_new.x, nd.y - node_new.y) for nd in self.vertex]
- dist_table_index = [ind for ind in range(len(dist_table)) if dist_table[ind] <= r and
- not self.utils.is_collision(node_new, self.vertex[ind])]
- return dist_table_index
- @staticmethod
- def nearest_neighbor(node_list, n):
- return node_list[int(np.argmin([math.hypot(nd.x - n.x, nd.y - n.y)
- for nd in node_list]))]
- @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
- def update_cost(self, parent_node):
- OPEN = queue.QueueFIFO()
- OPEN.put(parent_node)
- while not OPEN.empty():
- node = OPEN.get()
- if len(node.child) == 0:
- continue
- for node_c in node.child:
- node_c.Cost = self.get_new_cost(node, node_c)
- OPEN.put(node_c)
- def extract_path(self, node_end):
- path = [[self.s_goal.x, self.s_goal.y]]
- node = node_end
- while node.parent is not None:
- path.append([node.x, node.y])
- node = node.parent
- path.append([node.x, node.y])
- return path
- @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)
- def main():
- x_start = (18, 8) # Starting node
- x_goal = (37, 18) # Goal node
- rrt_star = RrtStar(x_start, x_goal, 10, 0.10, 20, 10000)
- rrt_star.planning()
- if __name__ == '__main__':
- main()
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