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PathPlanning/Sampling-based Planning/RRT.py
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import env
import plotting
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import numpy as np
import math
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class Node:
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def __init__(self, n):
self.x = n[0]
self.y = n[1]
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self.path_x = []
self.path_y = []
self.parent = None
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class RRT:
def __init__(self, xI, xG):
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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]
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self.env = env.Env()
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self.plotting = plotting.Plotting(xI, xG)
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self.x_range = self.env.x_range
self.y_range = self.env.y_range
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self.obs_circle = self.env.obs
self.obs_rectangle = self.env.obs_boundary
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self.path = self.planning()
self.plotting.animation(self.node_list, self.path)
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def planning(self):
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for i in range(self.iterations):
node_rand = self.generate_random_node()
node_near = self.get_nearest_node(self.node_list, node_rand)
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node_new = self.new_node(node_near, node_rand, self.expand_len)
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if not self.check_collision(node_new, self.obs_circle, self.obs_rectangle):
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self.node_list.append(node_new)
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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)
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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):
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return math.hypot(node_cal.x - self.xG.x, node_cal.y - self.xG.y)
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def new_node(self, node_start, node_goal, expand_len):
new_node = Node((node_start.x, node_start.y))
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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]
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if d < expand_len:
expand_len = d
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new_node.x += expand_len * math.cos(theta)
new_node.y += expand_len * math.sin(theta)
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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:
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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
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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]))]
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@staticmethod
def calc_distance_and_angle(from_node, to_node):
dx = to_node.x - from_node.x
dy = to_node.y - from_node.y
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return math.hypot(dx, dy), math.atan2(dy, dx)
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@staticmethod
def check_collision(node_end, obs_circle, obs_rectangle):
if node_end is None:
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return True
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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
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if __name__ == '__main__':
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x_Start = (15, 5) # Starting node
x_Goal = (45, 25) # Goal node
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rrt = RRT(x_Start, x_Goal)