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#!/usr/bin/env python
######################################################################
# Software License Agreement (BSD License)
#
# Copyright (c) 2010, Rice University
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
#
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above
# copyright notice, this list of conditions and the following
# disclaimer in the documentation and/or other materials provided
# with the distribution.
# * Neither the name of the Rice University nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.
######################################################################
# Author: Luis G. Torres, Mark Moll
try:
from ompl import util as ou
from ompl import base as ob
from ompl import geometric as og
except:
# if the ompl module is not in the PYTHONPATH assume it is installed in a
# subdirectory of the parent directory called "py-bindings."
from os.path import abspath, dirname, join
import sys
sys.path.insert(0, join(dirname(dirname(abspath(__file__))),'py-bindings'))
from ompl import util as ou
from ompl import base as ob
from ompl import geometric as og
from math import sqrt
from sys import argv
import argparse
## @cond IGNORE
# Our "collision checker". For this demo, our robot's state space
# lies in [0,1]x[0,1], with a circular obstacle of radius 0.25
# centered at (0.5,0.5). Any states lying in this circular region are
# considered "in collision".
class ValidityChecker(ob.StateValidityChecker):
def __init__(self, si):
super(ValidityChecker, self).__init__(si)
# Returns whether the given state's position overlaps the
# circular obstacle
def isValid(self, state):
return self.clearance(state) > 0.0
# Returns the distance from the given state's position to the
# boundary of the circular obstacle.
def clearance(self, state):
# Extract the robot's (x,y) position from its state
x = state[0]
y = state[1]
# Distance formula between two points, offset by the circle's
# radius
return sqrt((x-0.5)*(x-0.5) + (y-0.5)*(y-0.5)) - 0.25
## Returns a structure representing the optimization objective to use
# for optimal motion planning. This method returns an objective
# which attempts to minimize the length in configuration space of
# computed paths.
def getPathLengthObjective(si):
return ob.PathLengthOptimizationObjective(si)
## Returns an optimization objective which attempts to minimize path
# length that is satisfied when a path of length shorter than 1.51
# is found.
def getThresholdPathLengthObj(si):
obj = ob.PathLengthOptimizationObjective(si)
obj.setCostThreshold(ob.Cost(1.51))
return obj
## Defines an optimization objective which attempts to steer the
# robot away from obstacles. To formulate this objective as a
# minimization of path cost, we can define the cost of a path as a
# summation of the costs of each of the states along the path, where
# each state cost is a function of that state's clearance from
# obstacles.
#
# The class StateCostIntegralObjective represents objectives as
# summations of state costs, just like we require. All we need to do
# then is inherit from that base class and define our specific state
# cost function by overriding the stateCost() method.
#
class ClearanceObjective(ob.StateCostIntegralObjective):
def __init__(self, si):
super(ClearanceObjective, self).__init__(si, True)
self.si_ = si
# Our requirement is to maximize path clearance from obstacles,
# but we want to represent the objective as a path cost
# minimization. Therefore, we set each state's cost to be the
# reciprocal of its clearance, so that as state clearance
# increases, the state cost decreases.
def stateCost(self, s):
return ob.Cost(1 / self.si_.getStateValidityChecker().clearance(s))
## Return an optimization objective which attempts to steer the robot
# away from obstacles.
def getClearanceObjective(si):
return ClearanceObjective(si)
## Create an optimization objective which attempts to optimize both
# path length and clearance. We do this by defining our individual
# objectives, then adding them to a MultiOptimizationObjective
# object. This results in an optimization objective where path cost
# is equivalent to adding up each of the individual objectives' path
# costs.
#
# When adding objectives, we can also optionally specify each
# objective's weighting factor to signify how important it is in
# optimal planning. If no weight is specified, the weight defaults to
# 1.0.
def getBalancedObjective1(si):
lengthObj = ob.PathLengthOptimizationObjective(si)
clearObj = ClearanceObjective(si)
opt = ob.MultiOptimizationObjective(si)
opt.addObjective(lengthObj, 5.0)
opt.addObjective(clearObj, 1.0)
return opt
## Create an optimization objective equivalent to the one returned by
# getBalancedObjective1(), but use an alternate syntax.
# THIS DOESN'T WORK YET. THE OPERATORS SOMEHOW AREN'T EXPORTED BY Py++.
# def getBalancedObjective2(si):
# lengthObj = ob.PathLengthOptimizationObjective(si)
# clearObj = ClearanceObjective(si)
#
# return 5.0*lengthObj + clearObj
## Create an optimization objective for minimizing path length, and
# specify a cost-to-go heuristic suitable for this optimal planning
# problem.
def getPathLengthObjWithCostToGo(si):
obj = ob.PathLengthOptimizationObjective(si)
obj.setCostToGoHeuristic(ob.CostToGoHeuristic(ob.goalRegionCostToGo))
return obj
# Keep these in alphabetical order and all lower case
def allocatePlanner(si, plannerType):
if plannerType.lower() == "bitstar":
return og.BITstar(si)
elif plannerType.lower() == "fmtstar":
return og.FMT(si)
elif plannerType.lower() == "informedrrtstar":
return og.InformedRRTstar(si)
elif plannerType.lower() == "prmstar":
return og.PRMstar(si)
elif plannerType.lower() == "rrtstar":
return og.RRTstar(si)
else:
OMPL_ERROR("Planner-type is not implemented in allocation function.");
# Keep these in alphabetical order and all lower case
def allocateObjective(si, objectiveType):
if objectiveType.lower() == "pathclearance":
return getClearanceObjective(si)
elif objectiveType.lower() == "pathlength":
return getPathLengthObjective(si)
elif objectiveType.lower() == "thresholdpathlength":
return getThresholdPathLengthObj(si)
elif objectiveType.lower() == "weightedlengthandclearancecombo":
return getBalancedObjective1(si)
else:
OMPL_ERROR("Optimization-objective is not implemented in allocation function.");
def plan(runTime, plannerType, objectiveType, fname):
# Construct the robot state space in which we're planning. We're
# planning in [0,1]x[0,1], a subset of R^2.
space = ob.RealVectorStateSpace(2)
# Set the bounds of space to be in [0,1].
space.setBounds(0.0, 1.0)
# Construct a space information instance for this state space
si = ob.SpaceInformation(space)
# Set the object used to check which states in the space are valid
validityChecker = ValidityChecker(si)
si.setStateValidityChecker(validityChecker)
si.setup()
# Set our robot's starting state to be the bottom-left corner of
# the environment, or (0,0).
start = ob.State(space)
start[0] = 0.0
start[1] = 0.0
# Set our robot's goal state to be the top-right corner of the
# environment, or (1,1).
goal = ob.State(space)
goal[0] = 1.0
goal[1] = 1.0
# Create a problem instance
pdef = ob.ProblemDefinition(si)
# Set the start and goal states
pdef.setStartAndGoalStates(start, goal)
# Create the optimization objective specified by our command-line argument.
# This helper function is simply a switch statement.
pdef.setOptimizationObjective(allocateObjective(si, objectiveType))
# Construct the optimal planner specified by our command line argument.
# This helper function is simply a switch statement.
optimizingPlanner = allocatePlanner(si, plannerType)
# Set the problem instance for our planner to solve
optimizingPlanner.setProblemDefinition(pdef)
optimizingPlanner.setup()
# attempt to solve the planning problem in the given runtime
solved = optimizingPlanner.solve(runTime)
if solved:
# Output the length of the path found
print("{0} found solution of path length {1:.4f} with an optimization objective value of {2:.4f}".format(optimizingPlanner.getName(), pdef.getSolutionPath().length(), pdef.getSolutionPath().cost(pdef.getOptimizationObjective()).value()))
# If a filename was specified, output the path as a matrix to
# that file for visualization
if fname:
with open(fname,'w') as outFile:
outFile.write(pdef.getSolutionPath().printAsMatrix())
else:
print("No solution found.")
if __name__ == "__main__":
# Create an argument parser
parser = argparse.ArgumentParser(description='Optimal motion planning demo program.')
# Add a filename argument
parser.add_argument('-t', '--runtime', type=float, default=1.0, help='(Optional) Specify the runtime in seconds. Defaults to 1 and must be greater than 0.')
parser.add_argument('-p', '--planner', default='RRTstar', choices=['BITstar', 'FMTstar', 'InformedRRTstar', 'PRMstar', 'RRTstar'], help='(Optional) Specify the optimal planner to use, defaults to RRTstar if not given.') # Alphabetical order
parser.add_argument('-o', '--objective', default='PathLength', choices=['PathClearance', 'PathLength', 'ThresholdPathLength', 'WeightedLengthAndClearanceCombo'], help='(Optional) Specify the optimization objective, defaults to PathLength if not given.') # Alphabetical order
parser.add_argument('-f', '--file', default=None, help='(Optional) Specify an output path for the found solution path.')
parser.add_argument('-i', '--info', type=int, default=0, choices=[0, 1, 2], help='(Optional) Set the OMPL log level. 0 for WARN, 1 for INFO, 2 for DEBUG. Defaults to WARN.')
# Parse the arguments
args = parser.parse_args()
# Check that time is positive
if args.runtime <= 0:
raise argparse.ArgumentTypeError("argument -t/--runtime: invalid choice: %r (choose a positive number greater than 0)"%(args.runtime,))
# Set the log level
if args.info == 0:
ou.setLogLevel(ou.LOG_WARN)
elif args.info == 1:
ou.setLogLevel(ou.LOG_INFO)
elif args.info == 2:
ou.setLogLevel(ou.LOG_DEBUG)
else:
OMPL_ERROR("Invalid log-level integer.");
# Solve the planning problem
plan(args.runtime, args.planner, args.objective, args.file)
## @endcond
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