clean rrt codes

This commit is contained in:
Atsushi Sakai
2019-07-15 11:42:35 +09:00
parent 14271dd53e
commit 29da707a9a
6 changed files with 324 additions and 441 deletions

198
PathPlanning/RRT/rrt.py Normal file
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@@ -0,0 +1,198 @@
"""
Path planning Sample Code with Randomized Rapidly-Exploring Random Trees (RRT)
author: AtsushiSakai(@Atsushi_twi)
"""
import math
import random
import matplotlib.pyplot as plt
show_animation = True
class RRT:
"""
Class for RRT planning
"""
class Node():
"""
RRT Node
"""
def __init__(self, x, y):
self.x = x
self.y = y
self.parent = None
def __init__(self, start, goal, obstacle_list,
rand_area, expand_dis=1.0, goal_sample_rate=5, max_iter=500):
"""
Setting Parameter
start:Start Position [x,y]
goal:Goal Position [x,y]
obstacleList:obstacle Positions [[x,y,size],...]
randArea:Ramdom Samping Area [min,max]
"""
self.start = self.Node(start[0], start[1])
self.end = self.Node(goal[0], goal[1])
self.min_rand = rand_area[0]
self.max_rand = rand_area[1]
self.expand_dis = expand_dis
self.goal_sample_rate = goal_sample_rate
self.max_iter = max_iter
self.obstacleList = obstacle_list
self.node_list = []
def planning(self, animation=True):
"""
rrt path planning
animation: flag for animation on or off
"""
self.node_list = [self.start]
for i in range(self.max_iter):
rnd = self.get_random_point()
nearest_ind = self.get_nearest_list_index(self.node_list, rnd)
nearest_node = self.node_list[nearest_ind]
new_node = self.steer(rnd, nearest_node)
new_node.parent = nearest_node
if not self.check_collision(new_node, self.obstacleList):
continue
self.node_list.append(new_node)
print("nNodelist:", len(self.node_list))
# check goal
if self.calc_dist_to_goal(new_node.x, new_node.y) <= self.expand_dis:
print("Goal!!")
return self.generate_final_course(len(self.node_list) - 1)
if animation and i % 5:
self.draw_graph(rnd)
return None # cannot find path
def steer(self, rnd, nearest_node):
new_node = self.Node(rnd[0], rnd[1])
d, theta = self.calc_distance_and_angle(nearest_node, new_node)
if d > self.expand_dis:
new_node.x = nearest_node.x + self.expand_dis * math.cos(theta)
new_node.y = nearest_node.y + self.expand_dis * math.sin(theta)
return new_node
def generate_final_course(self, goal_ind):
path = [[self.end.x, self.end.y]]
node = self.node_list[goal_ind]
while node.parent is not None:
path.append([node.x, node.y])
node = node.parent
path.append([node.x, node.y])
return path
def calc_dist_to_goal(self, x, y):
dx = x - self.end.x
dy = y - self.end.y
return math.sqrt(dx ** 2 + dy ** 2)
def get_random_point(self):
if random.randint(0, 100) > self.goal_sample_rate:
rnd = [random.uniform(self.min_rand, self.max_rand),
random.uniform(self.min_rand, self.max_rand)]
else: # goal point sampling
rnd = [self.end.x, self.end.y]
return rnd
def draw_graph(self, rnd=None):
plt.clf()
if rnd is not None:
plt.plot(rnd[0], rnd[1], "^k")
for node in self.node_list:
if node.parent:
plt.plot([node.x, node.parent.x],
[node.y, node.parent.y],
"-g")
for (ox, oy, size) in self.obstacleList:
plt.plot(ox, oy, "ok", ms=30 * size)
plt.plot(self.start.x, self.start.y, "xr")
plt.plot(self.end.x, self.end.y, "xr")
plt.axis([-2, 15, -2, 15])
plt.grid(True)
plt.pause(0.01)
@staticmethod
def get_nearest_list_index(node_list, rnd):
dlist = [(node.x - rnd[0]) ** 2 + (node.y - rnd[1])
** 2 for node in node_list]
minind = dlist.index(min(dlist))
return minind
@staticmethod
def check_collision(node, obstacleList):
for (ox, oy, size) in obstacleList:
dx = ox - node.x
dy = oy - node.y
d = dx * dx + dy * dy
if d <= size ** 2:
return False # collision
return True # safe
@staticmethod
def calc_distance_and_angle(from_node, to_node):
dx = to_node.x - from_node.x
dy = to_node.y - from_node.y
d = math.sqrt(dx ** 2 + dy ** 2)
theta = math.atan2(dy, dx)
return d, theta
def main(gx=5.0, gy=10.0):
print("start " + __file__)
# ====Search Path with RRT====
obstacleList = [
(5, 5, 1),
(3, 6, 2),
(3, 8, 2),
(3, 10, 2),
(7, 5, 2),
(9, 5, 2)
] # [x,y,size]
# Set Initial parameters
rrt = RRT(start=[0, 0],
goal=[gx, gy],
rand_area=[-2, 15],
obstacle_list=obstacleList)
path = rrt.planning(animation=show_animation)
if path is None:
print("Cannot find path")
else:
print("found path!!")
# Draw final path
if show_animation:
rrt.draw_graph()
plt.plot([x for (x, y) in path], [y for (x, y) in path], '-r')
plt.grid(True)
plt.pause(0.01) # Need for Mac
plt.show()
if __name__ == '__main__':
main()

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@@ -1,152 +1,22 @@
"""
Path Planning Sample Code with Randamized Rapidly-Exploring Random Trees (RRT)
Path planning Sample Code with RRT with path smoothing
@author: AtsushiSakai(@Atsushi_twi)
"""
import matplotlib.pyplot as plt
import random
import math
import copy
import numpy as np
import random
import matplotlib.pyplot as plt
from rrt import RRT
show_animation = True
class RRT():
"""
Class for RRT Planning
"""
def __init__(self, start, goal, obstacleList, randArea, expandDis=1.0, goalSampleRate=5, maxIter=500):
"""
Setting Parameter
start:Start Position [x,y]
goal:Goal Position [x,y]
obstacleList:obstacle Positions [[x,y,size],...]
randArea:Ramdom Samping Area [min,max]
"""
self.start = Node(start[0], start[1])
self.end = Node(goal[0], goal[1])
self.minrand = randArea[0]
self.maxrand = randArea[1]
self.expandDis = expandDis
self.goalSampleRate = goalSampleRate
self.maxIter = maxIter
self.obstacleList = obstacleList
def Planning(self, animation=True):
"""
Pathplanning
animation: flag for animation on or off
"""
self.nodeList = [self.start]
while True:
# Random Sampling
if random.randint(0, 100) > self.goalSampleRate:
rnd = [random.uniform(self.minrand, self.maxrand), random.uniform(
self.minrand, self.maxrand)]
else:
rnd = [self.end.x, self.end.y]
# Find nearest node
nind = self.GetNearestListIndex(self.nodeList, rnd)
# print(nind)
# expand tree
nearestNode = self.nodeList[nind]
theta = math.atan2(rnd[1] - nearestNode.y, rnd[0] - nearestNode.x)
newNode = copy.deepcopy(nearestNode)
newNode.x += self.expandDis * math.cos(theta)
newNode.y += self.expandDis * math.sin(theta)
newNode.parent = nind
if not self.__CollisionCheck(newNode, self.obstacleList):
continue
self.nodeList.append(newNode)
# check goal
dx = newNode.x - self.end.x
dy = newNode.y - self.end.y
d = math.sqrt(dx * dx + dy * dy)
if d <= self.expandDis:
print("Goal!!")
break
if animation:
self.DrawGraph(rnd)
path = [[self.end.x, self.end.y]]
lastIndex = len(self.nodeList) - 1
while self.nodeList[lastIndex].parent is not None:
node = self.nodeList[lastIndex]
path.append([node.x, node.y])
lastIndex = node.parent
path.append([self.start.x, self.start.y])
return path
def DrawGraph(self, rnd=None):
plt.clf()
if rnd is not None:
plt.plot(rnd[0], rnd[1], "^k")
for node in self.nodeList:
if node.parent is not None:
plt.plot([node.x, self.nodeList[node.parent].x], [
node.y, self.nodeList[node.parent].y], "-g")
for (x, y, size) in self.obstacleList:
self.PlotCircle(x, y, size)
plt.plot(self.start.x, self.start.y, "xr")
plt.plot(self.end.x, self.end.y, "xr")
plt.axis([-2, 15, -2, 15])
plt.grid(True)
plt.pause(0.01)
def PlotCircle(self, x, y, size):
deg = list(range(0, 360, 5))
deg.append(0)
xl = [x + size * math.cos(np.deg2rad(d)) for d in deg]
yl = [y + size * math.sin(np.deg2rad(d)) for d in deg]
plt.plot(xl, yl, "-k")
def GetNearestListIndex(self, nodeList, rnd):
dlist = [(node.x - rnd[0]) ** 2 + (node.y - rnd[1])
** 2 for node in nodeList]
minind = dlist.index(min(dlist))
return minind
def __CollisionCheck(self, node, obstacleList):
for (ox, oy, size) in obstacleList:
dx = ox - node.x
dy = oy - node.y
d = math.sqrt(dx * dx + dy * dy)
if d <= size:
return False # collision
return True # safe
class Node():
"""
RRT Node
"""
def __init__(self, x, y):
self.x = x
self.y = y
self.parent = None
def GetPathLength(path):
def get_path_length(path):
le = 0
for i in range(len(path) - 1):
dx = path[i + 1][0] - path[i][0]
@@ -157,7 +27,7 @@ def GetPathLength(path):
return le
def GetTargetPoint(path, targetL):
def get_target_point(path, targetL):
le = 0
ti = 0
lastPairLen = 0
@@ -172,17 +42,14 @@ def GetTargetPoint(path, targetL):
break
partRatio = (le - targetL) / lastPairLen
# print(partRatio)
# print((ti,len(path),path[ti],path[ti+1]))
x = path[ti][0] + (path[ti + 1][0] - path[ti][0]) * partRatio
y = path[ti][1] + (path[ti + 1][1] - path[ti][1]) * partRatio
# print((x,y))
return [x, y, ti]
def LineCollisionCheck(first, second, obstacleList):
def line_collision_check(first, second, obstacleList):
# Line Equation
x1 = first[0]
@@ -199,7 +66,7 @@ def LineCollisionCheck(first, second, obstacleList):
for (ox, oy, size) in obstacleList:
d = abs(a * ox + b * oy + c) / (math.sqrt(a * a + b * b))
if d <= (size):
if d <= size:
return False
# print("OK")
@@ -207,20 +74,15 @@ def LineCollisionCheck(first, second, obstacleList):
return True # OK
def PathSmoothing(path, maxIter, obstacleList):
# print("PathSmoothing")
def path_smoothing(path, max_iter, obstacle_list):
le = get_path_length(path)
le = GetPathLength(path)
for i in range(maxIter):
for i in range(max_iter):
# Sample two points
pickPoints = [random.uniform(0, le), random.uniform(0, le)]
pickPoints.sort()
# print(pickPoints)
first = GetTargetPoint(path, pickPoints[0])
# print(first)
second = GetTargetPoint(path, pickPoints[1])
# print(second)
first = get_target_point(path, pickPoints[0])
second = get_target_point(path, pickPoints[1])
if first[2] <= 0 or second[2] <= 0:
continue
@@ -232,7 +94,7 @@ def PathSmoothing(path, maxIter, obstacleList):
continue
# collision check
if not LineCollisionCheck(first, second, obstacleList):
if not line_collision_check(first, second, obstacle_list):
continue
# Create New path
@@ -242,7 +104,7 @@ def PathSmoothing(path, maxIter, obstacleList):
newPath.append([second[0], second[1]])
newPath.extend(path[second[2] + 1:])
path = newPath
le = GetPathLength(path)
le = get_path_length(path)
return path
@@ -259,16 +121,16 @@ def main():
(9, 5, 2)
] # [x,y,size]
rrt = RRT(start=[0, 0], goal=[5, 10],
randArea=[-2, 15], obstacleList=obstacleList)
path = rrt.Planning(animation=show_animation)
rand_area=[-2, 15], obstacle_list=obstacleList)
path = rrt.planning(animation=show_animation)
# Path smoothing
maxIter = 1000
smoothedPath = PathSmoothing(path, maxIter, obstacleList)
smoothedPath = path_smoothing(path, maxIter, obstacleList)
# Draw final path
if show_animation:
rrt.DrawGraph()
rrt.draw_graph()
plt.plot([x for (x, y) in path], [y for (x, y) in path], '-r')
plt.plot([x for (x, y) in smoothedPath], [

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@@ -1,173 +0,0 @@
"""
Path Planning Sample Code with Randamized Rapidly-Exploring Random Trees (RRT)
author: AtsushiSakai(@Atsushi_twi)
"""
import matplotlib.pyplot as plt
import random
import math
import copy
show_animation = True
class RRT():
"""
Class for RRT Planning
"""
def __init__(self, start, goal, obstacleList,
randArea, expandDis=1.0, goalSampleRate=5, maxIter=500):
"""
Setting Parameter
start:Start Position [x,y]
goal:Goal Position [x,y]
obstacleList:obstacle Positions [[x,y,size],...]
randArea:Ramdom Samping Area [min,max]
"""
self.start = Node(start[0], start[1])
self.end = Node(goal[0], goal[1])
self.minrand = randArea[0]
self.maxrand = randArea[1]
self.expandDis = expandDis
self.goalSampleRate = goalSampleRate
self.maxIter = maxIter
self.obstacleList = obstacleList
def Planning(self, animation=True):
"""
Pathplanning
animation: flag for animation on or off
"""
self.nodeList = [self.start]
while True:
# Random Sampling
if random.randint(0, 100) > self.goalSampleRate:
rnd = [random.uniform(self.minrand, self.maxrand), random.uniform(
self.minrand, self.maxrand)]
else:
rnd = [self.end.x, self.end.y]
# Find nearest node
nind = self.GetNearestListIndex(self.nodeList, rnd)
# print(nind)
# expand tree
nearestNode = self.nodeList[nind]
theta = math.atan2(rnd[1] - nearestNode.y, rnd[0] - nearestNode.x)
newNode = copy.deepcopy(nearestNode)
newNode.x += self.expandDis * math.cos(theta)
newNode.y += self.expandDis * math.sin(theta)
newNode.parent = nind
if not self.__CollisionCheck(newNode, self.obstacleList):
continue
self.nodeList.append(newNode)
print("nNodelist:", len(self.nodeList))
# check goal
dx = newNode.x - self.end.x
dy = newNode.y - self.end.y
d = math.sqrt(dx * dx + dy * dy)
if d <= self.expandDis:
print("Goal!!")
break
if animation:
self.DrawGraph(rnd)
path = [[self.end.x, self.end.y]]
lastIndex = len(self.nodeList) - 1
while self.nodeList[lastIndex].parent is not None:
node = self.nodeList[lastIndex]
path.append([node.x, node.y])
lastIndex = node.parent
path.append([self.start.x, self.start.y])
return path
def DrawGraph(self, rnd=None): # pragma: no cover
"""
Draw Graph
"""
plt.clf()
if rnd is not None:
plt.plot(rnd[0], rnd[1], "^k")
for node in self.nodeList:
if node.parent is not None:
plt.plot([node.x, self.nodeList[node.parent].x], [
node.y, self.nodeList[node.parent].y], "-g")
for (ox, oy, size) in self.obstacleList:
plt.plot(ox, oy, "ok", ms=30 * size)
plt.plot(self.start.x, self.start.y, "xr")
plt.plot(self.end.x, self.end.y, "xr")
plt.axis([-2, 15, -2, 15])
plt.grid(True)
plt.pause(0.01)
def GetNearestListIndex(self, nodeList, rnd):
dlist = [(node.x - rnd[0]) ** 2 + (node.y - rnd[1])
** 2 for node in nodeList]
minind = dlist.index(min(dlist))
return minind
def __CollisionCheck(self, node, obstacleList):
for (ox, oy, size) in obstacleList:
dx = ox - node.x
dy = oy - node.y
d = math.sqrt(dx * dx + dy * dy)
if d <= size:
return False # collision
return True # safe
class Node():
"""
RRT Node
"""
def __init__(self, x, y):
self.x = x
self.y = y
self.parent = None
def main(gx=5.0, gy=10.0):
print("start " + __file__)
# ====Search Path with RRT====
obstacleList = [
(5, 5, 1),
(3, 6, 2),
(3, 8, 2),
(3, 10, 2),
(7, 5, 2),
(9, 5, 2)
] # [x,y,size]
# Set Initial parameters
rrt = RRT(start=[0, 0], goal=[gx, gy],
randArea=[-2, 15], obstacleList=obstacleList)
path = rrt.Planning(animation=show_animation)
# Draw final path
if show_animation: # pragma: no cover
rrt.DrawGraph()
plt.plot([x for (x, y) in path], [y for (x, y) in path], '-r')
plt.grid(True)
plt.show()
if __name__ == '__main__':
main()

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@@ -1,4 +1,5 @@
"""
Path planning Sample Code with RRT*
author: Atsushi Sakai(@Atsushi_twi)
@@ -7,21 +8,28 @@ author: Atsushi Sakai(@Atsushi_twi)
import copy
import math
import random
import os
import sys
import matplotlib.pyplot as plt
import numpy as np
sys.path.append(os.path.dirname(os.path.abspath(__file__)) +
"/../RRT/")
try:
from RRT.rrt import RRT
except ImportError:
raise
show_animation = True
class RRTStar:
class RRTStar(RRT):
"""
Class for RRT planning
Class for RRT Star planning
"""
class Node:
def __init__(self, x, y):
self.x = x
self.y = y
@@ -34,6 +42,8 @@ class RRTStar:
max_iter=500,
connect_circle_dist=50.0
):
super().__init__(start, goal, obstacle_list,
rand_area, expand_dis, goal_sample_rate, max_iter)
"""
Setting Parameter
@@ -44,29 +54,19 @@ class RRTStar:
"""
self.connect_circle_dist = connect_circle_dist
self.start = self.Node(start[0], start[1])
self.end = self.Node(goal[0], goal[1])
self.min_rand = rand_area[0]
self.max_rand = rand_area[1]
self.expandDis = expand_dis
self.goalSampleRate = goal_sample_rate
self.maxIter = max_iter
self.obstacleList = obstacle_list
self.node_list = []
def planning(self, animation=True, search_until_maxiter=True):
"""
rrt path planning
rrt star path planning
animation: flag for animation on or off
search_until_maxiter: search until max iteration for path improving or not
"""
self.node_list = [self.start]
for i in range(self.maxIter):
for i in range(self.max_iter):
rnd = self.get_random_point()
nearest_ind = self.get_nearest_list_index(self.node_list, rnd)
new_node = self.steer(rnd, self.node_list[nearest_ind])
if self.check_collision(new_node, self.obstacleList):
@@ -74,21 +74,21 @@ class RRTStar:
new_node = self.choose_parent(new_node, near_inds)
if new_node:
self.node_list.append(new_node)
self.rewire(new_node, near_inds)
self.rewire(new_node, near_inds)
if animation and i % 5 == 0:
self.draw_graph(rnd)
if not search_until_maxiter: # check reaching the goal
if not search_until_maxiter and new_node: # check reaching the goal
d, _ = self.calc_distance_and_angle(new_node, self.end)
if d <= self.expandDis:
return self.gen_final_course(len(self.node_list) - 1)
if d <= self.expand_dis:
return self.generate_final_course(len(self.node_list) - 1)
print("reached max iteration")
last_index = self.search_best_goal_node()
if last_index:
return self.gen_final_course(last_index)
return self.generate_final_course(last_index)
return None
@@ -116,28 +116,9 @@ class RRTStar:
return new_node
def steer(self, rnd, nearest_node):
new_node = self.Node(rnd[0], rnd[1])
d, theta = self.calc_distance_and_angle(nearest_node, new_node)
if d > self.expandDis:
new_node.x = nearest_node.x + self.expandDis * math.cos(theta)
new_node.y = nearest_node.y + self.expandDis * math.sin(theta)
new_node.cost = float("inf")
return new_node
def get_random_point(self):
if random.randint(0, 100) > self.goalSampleRate:
rnd = [random.uniform(self.min_rand, self.max_rand),
random.uniform(self.min_rand, self.max_rand)]
else: # goal point sampling
rnd = [self.end.x, self.end.y]
return rnd
def search_best_goal_node(self):
dist_to_goal_list = [self.calc_dist_to_goal(n.x, n.y) for n in self.node_list]
goal_inds = [dist_to_goal_list.index(i) for i in dist_to_goal_list if i <= self.expandDis]
goal_inds = [dist_to_goal_list.index(i) for i in dist_to_goal_list if i <= self.expand_dis]
if not goal_inds:
return None
@@ -149,19 +130,6 @@ class RRTStar:
return None
def gen_final_course(self, goal_ind):
path = [[self.end.x, self.end.y]]
node = self.node_list[goal_ind]
while node.parent is not None:
path.append([node.x, node.y])
node = node.parent
path.append([node.x, node.y])
return path
def calc_dist_to_goal(self, x, y):
return np.linalg.norm([x - self.end.x, y - self.end.y])
def find_near_nodes(self, new_node):
nnode = len(self.node_list) + 1
r = self.connect_circle_dist * math.sqrt((math.log(nnode) / nnode))
@@ -193,60 +161,14 @@ class RRTStar:
tmp_node = copy.deepcopy(near_node)
for i in range(int(d / self.expandDis)):
tmp_node.x += self.expandDis * math.cos(theta)
tmp_node.y += self.expandDis * math.sin(theta)
for i in range(int(d / self.expand_dis)):
tmp_node.x += self.expand_dis * math.cos(theta)
tmp_node.y += self.expand_dis * math.sin(theta)
if not self.check_collision(tmp_node, self.obstacleList):
return False
return True
def draw_graph(self, rnd=None):
plt.clf()
if rnd is not None:
plt.plot(rnd[0], rnd[1], "^k")
for node in self.node_list:
if node.parent is not None:
plt.plot([node.x, node.parent.x],
[node.y, node.parent.y],
"-g")
for (ox, oy, size) in self.obstacleList:
plt.plot(ox, oy, "ok", ms=30 * size)
plt.plot(self.start.x, self.start.y, "xr")
plt.plot(self.end.x, self.end.y, "xr")
plt.axis([-2, 15, -2, 15])
plt.grid(True)
plt.pause(0.01)
@staticmethod
def get_nearest_list_index(node_list, rnd):
dlist = [(node.x - rnd[0]) ** 2 + (node.y - rnd[1])
** 2 for node in node_list]
minind = dlist.index(min(dlist))
return minind
@staticmethod
def check_collision(node, obstacleList):
for (ox, oy, size) in obstacleList:
dx = ox - node.x
dy = oy - node.y
d = dx * dx + dy * dy
if d <= size ** 2:
return False # collision
return True # safe
@staticmethod
def calc_distance_and_angle(from_node, to_node):
dx = to_node.x - from_node.x
dy = to_node.y - from_node.y
d = math.sqrt(dx ** 2 + dy ** 2)
theta = math.atan2(dy, dx)
return d, theta
def main():
print("Start " + __file__)

View File

@@ -1,12 +1,12 @@
import os
import sys
from unittest import TestCase
import sys
import os
sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../")
try:
from PathPlanning.RRT import simple_rrt as m
from PathPlanning.RRT import rrt as m
from PathPlanning.RRT import rrt_with_pathsmoothing as m1
except:
except ImportError:
raise