This commit is contained in:
zhm-real
2020-08-05 12:53:22 -07:00
4 changed files with 88 additions and 12 deletions
@@ -0,0 +1,82 @@
"""
This is fast marching tree* code for 3D
@author: yue qi
source: Janson, Lucas, et al. "Fast marching tree: A fast marching sampling-based method
for optimal motion planning in many dimensions."
The International journal of robotics research 34.7 (2015): 883-921.
"""
import numpy as np
import matplotlib.pyplot as plt
import time
import copy
import os
import sys
sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Sampling_based_Planning/")
from rrt_3D.env3D import env
from rrt_3D.utils3D import getDist, sampleFree, nearest, steer, isCollide
class FMT_star:
def __init__(self):
self.env = env()
# note that the xgoal could be a region since this algorithm is a multiquery method
self.xinit, self.xgoal = tuple(self.env.start), tuple(self.env.goal)
self.n = 100 # number of samples
# sets
self.V = self.generateSampleSet(self.n - 2) # set of all nodes
self.Vopen = set(self.xinit) # open set
self.Vclosed = set() # closed set
self.Vunvisited = copy.deepcopy(self.V) # unvisited set
self.Vunvisited.add(self.xgoal)
# cost to come
self.c = {}
def generateSampleSet(self, n):
V = set()
for i in range(n):
V.add(sampleFree(self, bias = 0.0))
return V
def Near(self, nodeset, node, range):
newSet = set()
return newSet
def Path(self, T):
V, E = T
path = []
return path
def Cost(self, x, y):
pass
def FMTrun(self):
z = copy.deepcopy(self.xinit)
Nz = self.Near(self.Vunvisited, z, rn)
E = set()
# Save(Nz, z)
while z != self.xgoal:
Vopen_new = set()
Xnear = Nz.intersection(self.Vunvisited)
for x in Xnear:
Nx = self.Near(self.V.difference(set(x)), x, rn)
# Save(Nx, x)
Ynear = Nx.intersection(self.Vopen)
ymin = Ynear[np.argmin([self.c[y] + self.Cost(y,x) for y in Ynear])] # DP programming equation
collide, _ = self.isCollide(ymin, x)
if not collide:
E = E.add((ymin, x)) # straight line joining ymin and x is collision free
Vopen_new.add(x)
self.Vunvisited = self.Vunvisited.difference(set(x))
self.c[x] = self.c[ymin] + self.Cost(ymin, x) # cost-to-arrive from xinit in tree T = (VopenUVclosed, E)
self.Vopen = (self.Vopen.union(Vopen_new)).difference(set(z))
self.Vclosed = self.Vclosed.union(set(z))
if len(self.Vopen) > 0:
return 'Failure'
z = np.argmin([self.c[y] for y in self.Vopen])
return self.Path(z, T = (self.Vopen.union(self.Vclosed), E))
@@ -3,9 +3,6 @@ This is dynamic rrt code for 3D
@author: yue qi
"""
import numpy as np
from numpy.matlib import repmat
from collections import defaultdict
import copy
import time
import matplotlib.pyplot as plt
@@ -14,9 +11,7 @@ import sys
sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Sampling_based_Planning/")
from rrt_3D.env3D import env
from rrt_3D.utils3D import getDist, sampleFree, nearest, steer, isCollide, near, cost, path, edgeset, isinbound, \
isinside
from rrt_3D.rrt3D import rrt
from rrt_3D.utils3D import getDist, sampleFree, nearest, steer, isCollide
from rrt_3D.plot_util3D import make_get_proj, draw_block_list, draw_Spheres, draw_obb, draw_line, make_transparent
@@ -60,7 +55,6 @@ class dynamic_rrt_3D:
S.append(qi)
i += 1
self.CreateTreeFromNodes(S)
print('trimming complete...')
def InvalidateNodes(self, obstacle):
Edges = self.FindAffectedEdges(obstacle)
@@ -74,7 +68,7 @@ class dynamic_rrt_3D:
self.flag[self.x0] = 'Valid'
def GrowRRT(self):
print('growing')
print('growing...')
qnew = self.x0
distance_threshold = self.stepsize
self.ind = 0
@@ -91,7 +85,6 @@ class dynamic_rrt_3D:
self.i += 1
self.ind += 1
# self.visualization()
print('growing complete...')
def ChooseTarget(self):
# return the goal, or randomly choose a state in the waypoints based on probs
@@ -141,7 +134,7 @@ class dynamic_rrt_3D:
t = 0
while True:
# move the block while the robot is moving
new, _ = self.env.move_block(a=[0, 0, -0.2], mode='translation')
new, _ = self.env.move_block(a=[0.2, 0, -0.2], mode='translation')
self.InvalidateNodes(new)
self.TrimRRT()
# if solution path contains invalid node
@@ -164,7 +157,7 @@ class dynamic_rrt_3D:
def FindAffectedEdges(self, obstacle):
# scan the graph for the changed edges in the tree.
# return the end point and the affected
print('finding affected edges')
print('finding affected edges...')
Affectededges = []
for e in self.Edge:
child, parent = e
@@ -177,7 +170,7 @@ class dynamic_rrt_3D:
return edge[0]
def CreateTreeFromNodes(self, Nodes):
print('creating tree')
print('creating tree...')
# self.Parent = {node: self.Parent[node] for node in Nodes}
self.V = [node for node in Nodes]
self.Edge = {(node, self.Parent[node]) for node in Nodes}
@@ -0,0 +1 @@
# informed RRT star in 3D