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// Copyright (C) 2007 Wim Meeussen <wim DOT meeussen AT mech DOT kuleuven DOT be>
// Copyright (C) 2008 Tinne De Laet <tinne DOT delaet AT mech DOT kuleuven DOT be>
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
//
#include "complete_filter_test.hpp"
#include "approxEqual.hpp"
// Registers the fixture into the 'registry'
CPPUNIT_TEST_SUITE_REGISTRATION( Complete_FilterTest );
using namespace MatrixWrapper;
using namespace BFL;
void
Complete_FilterTest::setUp()
{
}
void
Complete_FilterTest::tearDown()
{
}
void
Complete_FilterTest::testComplete_FilterValue_Cont()
{
double epsilon = 0.015;
double epsilon_large = 0.5;
double epsilon_huge = 2.0;
/****************************
* Initialise system model *
***************************/
ColumnVector SysNoise_Mu(STATE_SIZE);
SysNoise_Mu = 0.0;
SysNoise_Mu(1) = MU_SYSTEM_NOISE_X;
SysNoise_Mu(2) = MU_SYSTEM_NOISE_Y;
SysNoise_Mu(3) = MU_SYSTEM_NOISE_THETA;
SymmetricMatrix SysNoise_Cov(STATE_SIZE);
SysNoise_Cov = 0.0;
// Uncertainty or Noice (Additive) and Matrix A
SysNoise_Cov(1,1) = SIGMA_SYSTEM_NOISE_X;
SysNoise_Cov(2,2) = SIGMA_SYSTEM_NOISE_Y;
SysNoise_Cov(3,3) = SIGMA_SYSTEM_NOISE_THETA;
Gaussian System_Uncertainty(SysNoise_Mu, SysNoise_Cov);
NonLinearAnalyticConditionalGaussianMobile sys_pdf(System_Uncertainty);
AnalyticSystemModelGaussianUncertainty sys_model(&sys_pdf);
/*********************************
* Initialise measurement model *
********************************/
// Fill up H
double wall_ct = 2/(sqrt(pow(RICO_WALL,2.0) + 1));
Matrix H(MEAS_SIZE,STATE_SIZE);
H = 0.0;
H(1,1) = wall_ct * RICO_WALL;
H(1,2) = 0 - wall_ct;
// Construct the measurement noise (a scalar in this case)
ColumnVector MeasNoise_Mu(MEAS_SIZE);
SymmetricMatrix MeasNoise_Cov(MEAS_SIZE);
MeasNoise_Mu(1) = MU_MEAS_NOISE;
MeasNoise_Cov(1,1) = SIGMA_MEAS_NOISE;
Gaussian Measurement_Uncertainty(MeasNoise_Mu,MeasNoise_Cov);
LinearAnalyticConditionalGaussian meas_pdf(H,Measurement_Uncertainty);
LinearAnalyticMeasurementModelGaussianUncertainty meas_model(&meas_pdf);
/****************************
* Initialise prior DENSITY *
***************************/
// Continuous Gaussian prior (for Kalman filters)
ColumnVector prior_mu(STATE_SIZE);
SymmetricMatrix prior_sigma(STATE_SIZE);
prior_mu(1) = PRIOR_MU_X;
prior_mu(2) = PRIOR_MU_Y;
prior_mu(STATE_SIZE) = PRIOR_MU_THETA;
prior_sigma = 0.0;
prior_sigma(1,1) = PRIOR_COV_X;
prior_sigma(2,2) = PRIOR_COV_Y;
prior_sigma(3,3) = PRIOR_COV_THETA;
Gaussian prior_cont(prior_mu,prior_sigma);
// Discrete prior for Particle filter (using the continuous Gaussian prior)
vector<Sample<ColumnVector> > prior_samples(NUM_SAMPLES);
MCPdf<ColumnVector> prior_discr(NUM_SAMPLES,STATE_SIZE);
prior_cont.SampleFrom(prior_samples,NUM_SAMPLES,CHOLESKY,NULL);
prior_discr.ListOfSamplesSet(prior_samples);
// Mixture prior for the Mixture Boostrap filter
ColumnVector prior_mu1(STATE_SIZE);
SymmetricMatrix prior_sigma1(STATE_SIZE);
prior_mu1(1) = PRIOR_MU_X1;
prior_mu1(2) = PRIOR_MU_Y1;
prior_mu1(STATE_SIZE) = PRIOR_MU_THETA1;
prior_sigma1 = 0.0;
prior_sigma1(1,1) = PRIOR_COV_X1;
prior_sigma1(2,2) = PRIOR_COV_Y1;
prior_sigma1(3,3) = PRIOR_COV_THETA1;
Gaussian prior_cont1(prior_mu1,prior_sigma1);
MCPdf<ColumnVector> mixcomp1(NUM_SAMPLES,STATE_SIZE);
prior_cont1.SampleFrom(prior_samples,NUM_SAMPLES,CHOLESKY,NULL);
mixcomp1.ListOfSamplesSet(prior_samples);
ColumnVector prior_mu2(STATE_SIZE);
SymmetricMatrix prior_sigma2(STATE_SIZE);
prior_mu2(1) = PRIOR_MU_X2;
prior_mu2(2) = PRIOR_MU_Y2;
prior_mu2(STATE_SIZE) = PRIOR_MU_THETA2;
prior_sigma2 = 0.0;
prior_sigma2(1,1) = PRIOR_COV_X2;
prior_sigma2(2,2) = PRIOR_COV_Y2;
prior_sigma2(3,3) = PRIOR_COV_THETA2;
Gaussian prior_cont2(prior_mu2,prior_sigma2);
MCPdf<ColumnVector> mixcomp2(NUM_SAMPLES,STATE_SIZE);
prior_cont2.SampleFrom(prior_samples,NUM_SAMPLES,CHOLESKY,NULL);
mixcomp2.ListOfSamplesSet(prior_samples);
ColumnVector prior_mu3(STATE_SIZE);
SymmetricMatrix prior_sigma3(STATE_SIZE);
prior_mu3(1) = PRIOR_MU_X3;
prior_mu3(2) = PRIOR_MU_Y3;
prior_mu3(STATE_SIZE) = PRIOR_MU_THETA3;
prior_sigma3 = 0.0;
prior_sigma3(1,1) = PRIOR_COV_X3;
prior_sigma3(2,2) = PRIOR_COV_Y3;
prior_sigma3(3,3) = PRIOR_COV_THETA3;
Gaussian prior_cont3(prior_mu3,prior_sigma3);
MCPdf<ColumnVector> mixcomp3(NUM_SAMPLES,STATE_SIZE);
prior_cont3.SampleFrom(prior_samples,NUM_SAMPLES,CHOLESKY,NULL);
mixcomp3.ListOfSamplesSet(prior_samples);
ColumnVector prior_mu4(STATE_SIZE);
SymmetricMatrix prior_sigma4(STATE_SIZE);
prior_mu4(1) = PRIOR_MU_X4;
prior_mu4(2) = PRIOR_MU_Y4;
prior_mu4(STATE_SIZE) = PRIOR_MU_THETA3;
prior_sigma4 = 0.0;
prior_sigma4(1,1) = PRIOR_COV_X4;
prior_sigma4(2,2) = PRIOR_COV_Y4;
prior_sigma4(3,3) = PRIOR_COV_THETA4;
Gaussian prior_cont4(prior_mu4,prior_sigma4);
MCPdf<ColumnVector> mixcomp4(NUM_SAMPLES,STATE_SIZE);
prior_cont4.SampleFrom(prior_samples,NUM_SAMPLES,CHOLESKY,NULL);
mixcomp4.ListOfSamplesSet(prior_samples);
vector<Pdf<ColumnVector>*> mixVec(3);
mixVec[0] = &mixcomp1;
mixVec[1] = &mixcomp2;
mixVec[2] = &mixcomp3;
//mixVec[3] = &mixcomp4;
Mixture<ColumnVector> prior_mix(mixVec);
// check
ColumnVector mean_check(STATE_SIZE);
mean_check(1) = PRIOR_MU_X; mean_check(2) = PRIOR_MU_Y; mean_check(3) = PRIOR_MU_THETA;
SymmetricMatrix cov_check(STATE_SIZE);
cov_check(1,1) = PRIOR_COV_X; cov_check(1,2) = 0; cov_check(1,3) = 0;
cov_check(2,1) = 0; cov_check(2,2) = PRIOR_COV_Y; cov_check(2,3) = 0;
cov_check(3,1) = 0; cov_check(3,2) = 0; cov_check(3,3) = PRIOR_COV_THETA;
CPPUNIT_ASSERT_EQUAL(approxEqual(prior_cont.ExpectedValueGet(), mean_check, epsilon),true);
CPPUNIT_ASSERT_EQUAL(approxEqual(prior_cont.CovarianceGet(), cov_check, epsilon),true);
/***************************
* initialise MOBILE ROBOT *
**************************/
// Model of mobile robot in world
// The model is used to simultate the distance measurements.
MobileRobot mobile_robot;
ColumnVector input(INPUT_SIZE);
input(1) = LIN_SPEED * DELTA_T;
input(2) = ROT_SPEED * DELTA_T;
/******************************
* Construction of the Filter *
******************************/
Filter<ColumnVector,ColumnVector> *my_filter_extendedkalman, *my_filter_iteratedextendedkalman, *my_filter_bootstrap, *my_filter_ekparticle, *my_filter_mixtureBootstrap;
my_filter_extendedkalman = new ExtendedKalmanFilter(&prior_cont);
my_filter_iteratedextendedkalman = new IteratedExtendedKalmanFilter(&prior_cont,NUM_ITERATIONS);
my_filter_bootstrap = new BootstrapFilter<ColumnVector,ColumnVector> (&prior_discr, RESAMPLE_PERIOD, RESAMPLE_THRESHOLD);
my_filter_ekparticle = new EKParticleFilter(&prior_discr, 0, RESAMPLE_THRESHOLD);
my_filter_mixtureBootstrap = new MixtureBootstrapFilter<ColumnVector,ColumnVector> (&prior_mix, RESAMPLE_PERIOD, RESAMPLE_THRESHOLD);
/*******************
* ESTIMATION LOOP *
*******************/
ColumnVector measurement ;
ColumnVector mobile_robot_state ;
Pdf<ColumnVector> * posterior_mixtureBootstrap;
ofstream mixtureFile;
if(OUTPUT_MIXTURE)
{
mixtureFile.open("mixtureOutput.txt");
}
cout << "Running 4 different filters. This may take a few minutes... " << endl;
unsigned int time_step;
for (time_step = 0; time_step < NUM_TIME_STEPS-1; time_step++)
{
// DO ONE STEP WITH MOBILE ROBOT
mobile_robot.Move(input);
// DO ONE MEASUREMENT
measurement = mobile_robot.Measure();
mobile_robot_state = mobile_robot.GetState();
if(OUTPUT_MIXTURE)
{
posterior_mixtureBootstrap = my_filter_mixtureBootstrap->PostGet();
vector<WeightedSample<ColumnVector> > los;
vector<WeightedSample<ColumnVector> >::iterator los_it;
int numComp = dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->NumComponentsGet();
mixtureFile << time_step << " " << numComp << " ";
mixtureFile << mobile_robot_state(1) << " " << mobile_robot_state(2) << " " << mobile_robot_state(3) << " ";
for(int i = 0 ; i<numComp ; i++ )
{
double componentWeight = ( dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->WeightGet(i)) ;
los = dynamic_cast<MCPdf<ColumnVector> *>( dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->ComponentGet(i))->ListOfSamplesGet();
mixtureFile << i << " " << componentWeight << " " << los.size()<< " " << STATE_SIZE << " ";
for ( los_it=los.begin(); los_it != los.end() ; los_it++)
{
for (int j=0; j<STATE_SIZE ; j++)
mixtureFile << los_it->ValueGet()[j] << " ";
mixtureFile<< los_it->WeightGet() << " ";
}
}
mixtureFile<<endl;
}
// UPDATE FILTER
my_filter_extendedkalman->Update(&sys_model,input,&meas_model, measurement);
my_filter_iteratedextendedkalman->Update(&sys_model,input,&meas_model, measurement);
my_filter_bootstrap->Update(&sys_model,input,&meas_model, measurement);
//my_filter_ekparticle->Update(&sys_model,input,&meas_model, measurement);
my_filter_mixtureBootstrap->Update(&sys_model,input,&meas_model, measurement);
}
if(OUTPUT_MIXTURE)
{
posterior_mixtureBootstrap = my_filter_mixtureBootstrap->PostGet();
vector<WeightedSample<ColumnVector> > los;
vector<WeightedSample<ColumnVector> >::iterator los_it;
int numComp = dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->NumComponentsGet();
mixtureFile << time_step << " " << numComp << " ";
mixtureFile << mobile_robot_state(1) << " " << mobile_robot_state(2) << " " << mobile_robot_state(3) << " ";
for(int i = 0 ; i<numComp ; i++ )
{
double componentWeight = ( dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->WeightGet(i)) ;
los = dynamic_cast<MCPdf<ColumnVector> *>( dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->ComponentGet(i))->ListOfSamplesGet();
mixtureFile << i << " " << componentWeight << " " << los.size()<< " " << STATE_SIZE << " ";
for ( los_it=los.begin(); los_it != los.end() ; los_it++)
{
for (int j=0; j<STATE_SIZE ; j++)
mixtureFile << los_it->ValueGet()[j] << " ";
mixtureFile<< los_it->WeightGet() << " ";
}
}
mixtureFile<<endl;
}
// ek_check
Pdf<ColumnVector> * posterior_extendedkalman = my_filter_extendedkalman->PostGet();
ColumnVector mean_ek_check(STATE_SIZE);
mean_ek_check=mobile_robot.GetState();
//mean_ek_check(1) = mobile_robot_state(1); mean_ek_check(2) = mobile_robot_state(2); mean_ek_check(3) = mobile_robot_state(3);
SymmetricMatrix cov_ek_check(STATE_SIZE);
cov_ek_check(1,1) = 0.0599729; cov_ek_check(1,2) = 0.000291386; cov_ek_check(1,3) = 0.00223255;
cov_ek_check(2,1) = 0.000291386; cov_ek_check(2,2) = 0.000277528; cov_ek_check(2,3) = 0.000644136;
cov_ek_check(3,1) = 0.00223255; cov_ek_check(3,2) = 0.000644136; cov_ek_check(3,3) = 0.00766009;
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_extendedkalman->ExpectedValueGet(), mean_ek_check, epsilon_large),true);
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_extendedkalman->CovarianceGet(), cov_ek_check, epsilon),true);
// it_check
Pdf<ColumnVector> * posterior_iteratedextendedkalman = my_filter_iteratedextendedkalman->PostGet();
ColumnVector mean_it_check(STATE_SIZE);
mean_it_check=mobile_robot.GetState();
//mean_it_check(1) = mobile_robot_state(1); mean_it_check(2) = mobile_robot_state(2); mean_it_check(3) = mobile_robot_state(3);
SymmetricMatrix cov_it_check(STATE_SIZE);
cov_it_check = 0.0;
cov_it_check(1,1) = 0.0611143; cov_it_check(1,2) = 0.000315923; cov_it_check(1,3) = 0.00238938;
cov_it_check(2,1) = 0.000315923; cov_it_check(2,2) = 0.000280736; cov_it_check(2,3) = 0.000665735;
cov_it_check(3,1) = 0.00238938; cov_it_check(3,2) = 0.000665735; cov_it_check(3,3) = 0.00775776;
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_iteratedextendedkalman->ExpectedValueGet(), mean_it_check, epsilon_large),true);
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_iteratedextendedkalman->CovarianceGet(), cov_it_check, epsilon),true);
// bs_check
Pdf<ColumnVector> * posterior_bootstrap = my_filter_bootstrap->PostGet();
ColumnVector mean_bs_check(STATE_SIZE);
mean_bs_check=mobile_robot.GetState();
//mean_bs_check(1) = mobile_robot_state(1); mean_bs_check(2) = mobile_robot_state(2); mean_bs_check(3) = mobile_robot_state(3);
SymmetricMatrix cov_bs_check(STATE_SIZE);
cov_bs_check = 0.0;
cov_bs_check(1,1) = PRIOR_COV_X;
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_bootstrap->ExpectedValueGet(), mean_bs_check, epsilon_large),true);
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_bootstrap->CovarianceGet(), cov_bs_check, epsilon),true);
// ep_check
/*
Pdf<ColumnVector> * posterior_ekparticle = my_filter_ekparticle->PostGet();
cout << " Posterior Mean = " << endl << posterior_ekparticle->ExpectedValueGet() << endl
<< " Covariance = " << endl << posterior_ekparticle->CovarianceGet() << "" << endl;
ColumnVector mean_ep_check(STATE_SIZE);
//mean_ep_check(1) = 6.64581; mean_ep_check(2) = -7.05499; mean_ep_check(3) = -0.76974;
mean_ep_check=mobile_robot.GetState();
SymmetricMatrix cov_ep_check(STATE_SIZE);
cov_ep_check(1,1) = 0.0160492; cov_ep_check(1,2) = 0.000193798; cov_ep_check(1,3) = 0.0013101;
cov_ep_check(2,1) = 0.000193798; cov_ep_check(2,2) = 0.000289425; cov_ep_check(2,3) = 0.000701263;
cov_ep_check(3,1) = 0.0013101; cov_ep_check(3,2) = 0.000701263; cov_ep_check(3,3) = 0.00682061;
cout << "mean_ep_check " << mean_ep_check << endl;
cout << "cov_ep_check " << cov_ep_check << endl;
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_ekparticle->ExpectedValueGet(), mean_ep_check, epsilon_huge),true);
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_ekparticle->CovarianceGet(), cov_ep_check, epsilon_large),true);
*/
// mixtureBoostrapFilter check
posterior_mixtureBootstrap = my_filter_mixtureBootstrap->PostGet();
ColumnVector mean_mbs_check(STATE_SIZE);
//mean_mbs_check(1) = 6.64581; mean_mbs_check(2) = -7.05499; mean_mbs_check(3) = -0.76974;
mean_mbs_check(1) = mobile_robot_state(1); mean_mbs_check(2) = mobile_robot_state(2); mean_mbs_check(3) = mobile_robot_state(3);
//cout << "mixture weights:" << endl;
vector<Probability> weights= dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->WeightsGet();
ColumnVector exp;
for(int i = 0 ; i< dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->NumComponentsGet(); i++ )
{
//cout << "weight component " << i << ": " << weights[i] << endl;
exp= dynamic_cast<Mixture<ColumnVector> *>(posterior_mixtureBootstrap)->ComponentGet(i)->ExpectedValueGet();
//cout << "expected value component " << i << ": " << exp << endl;
}
//cout << "expected value total: " << posterior_mixtureBootstrap->ExpectedValueGet() << endl;
//cout << "should be : " << mean_mbs_check << endl;
CPPUNIT_ASSERT_EQUAL(approxEqual(posterior_mixtureBootstrap->ExpectedValueGet(), mean_mbs_check, epsilon_huge),true);
// closing file stream
if(OUTPUT_MIXTURE)
{
mixtureFile.close();
}
// delete the filters
delete my_filter_extendedkalman;
delete my_filter_iteratedextendedkalman;
delete my_filter_bootstrap;
delete my_filter_ekparticle;
delete my_filter_mixtureBootstrap;
}
void
Complete_FilterTest::testComplete_FilterValue_Discr()
{
int num_states = 20;
int num_cond_args = 1;
/****************************
* Discrete system model *
***************************/
int cond_arg_dims[num_cond_args];
cond_arg_dims[0] = num_states;
DiscreteConditionalPdf sys_pdf(num_states,num_cond_args,cond_arg_dims); // no inputs
std::vector<int> cond_args(num_cond_args);
double prob_diag = 0.9;
double prob_nondiag = (1-prob_diag)/(num_states-1);
for (int state_kMinusOne = 0 ; state_kMinusOne < num_states ; state_kMinusOne++)
{
cond_args[0] = state_kMinusOne;
for (int state_k = 0 ; state_k < num_states ; state_k++)
{
if (state_kMinusOne == state_k) sys_pdf.ProbabilitySet(prob_diag,state_k,cond_args);
else sys_pdf.ProbabilitySet(prob_nondiag,state_k,cond_args);
}
}
DiscreteSystemModel sys_model(&sys_pdf);
/*********************************
* Initialise measurement model *
********************************/
// Construct the measurement noise (a scalar in this case)
ColumnVector measNoise_Mu(MEAS_SIZE);
measNoise_Mu(1) = MU_MEAS_NOISE;
SymmetricMatrix measNoise_Cov(MEAS_SIZE);
measNoise_Cov(1,1) = SIGMA_MEAS_NOISE;
Gaussian measurement_uncertainty(measNoise_Mu, measNoise_Cov);
// create the model
ConditionalUniformMeasPdf1d meas_pdf(measurement_uncertainty);
MeasurementModel<MatrixWrapper::ColumnVector,int> meas_model(&meas_pdf);
/****************************
* Uniform prior DENSITY *
***************************/
DiscretePdf prior(num_states); //equal probability is set for all classed
/******************************
* Construction of the Filter *
******************************/
HistogramFilter<ColumnVector> filter(&prior);
DiscretePdf * prior_test = filter.PostGet();
/***************************
* initialise MOBILE ROBOT *
**************************/
// Model of mobile robot in world with one wall
// The model is used to simultate the distance measurements.
MobileRobot mobile_robot;
ColumnVector input(2);
input(1) = 0.1;
input(2) = 0.0;
/*******************
* ESTIMATION LOOP *
*******************/
unsigned int time_step;
for (time_step = 0; time_step < NUM_TIME_STEPS-1; time_step++)
{
// DO ONE STEP WITH MOBILE ROBOT
mobile_robot.Move(input);
// DO ONE MEASUREMENT
ColumnVector measurement = mobile_robot.Measure();
// change sign of measurement (measurement model returns negative value)
measurement(1) = 0-measurement(1);
// UPDATE FILTER
filter.Update(&sys_model,&meas_model,measurement);
} // estimation loop
// FIXME: This test needs more explanation...
DiscretePdf * posterior = filter.PostGet();
for (int state=0; state< num_states; state++)
{
// std::cout << "state = " << state << " : " << "posterior->ProbabilityGet(state) = " << posterior->ProbabilityGet(state) << std::endl;
if (state == (int)(round(mobile_robot.GetState()(2))) ){ // Y position What does this comparison mean???
CPPUNIT_ASSERT(posterior->ProbabilityGet(state) >0.9);
}
else {
CPPUNIT_ASSERT(posterior->ProbabilityGet(state) <0.1);
}
}
}
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