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PathPlanning/Sampling_based_Planning/rrt_2D/optimal_bi_rrt.py
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zhm-real 5f06989837 reformat
2020-07-30 10:02:26 -07:00

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Python

"""
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 Sampling_based_Planning.rrt_2D import env, plotting, utils, 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()
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)