Visual Servoing Platform  version 3.2.0 under development (2018-08-18)
testMatrixDeterminant.cpp

Test matrix determinant computation.

/****************************************************************************
*
* This file is part of the ViSP software.
* Copyright (C) 2005 - 2017 by Inria. All rights reserved.
*
* This software 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.
* See the file LICENSE.txt at the root directory of this source
* distribution for additional information about the GNU GPL.
*
* For using ViSP with software that can not be combined with the GNU
* GPL, please contact Inria about acquiring a ViSP Professional
* Edition License.
*
* See http://visp.inria.fr for more information.
*
* This software was developed at:
* Inria Rennes - Bretagne Atlantique
* Campus Universitaire de Beaulieu
* 35042 Rennes Cedex
* France
*
* If you have questions regarding the use of this file, please contact
* Inria at visp@inria.fr
*
* This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
* WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*
* Description:
* Test various determinant computation methods.
*
* Authors:
* Fabien Spindler
*
*****************************************************************************/
#include <visp3/core/vpMatrix.h>
#include <visp3/core/vpTime.h>
#include <visp3/io/vpParseArgv.h>
// List of allowed command line options
#define GETOPTARGS "cdn:i:pf:R:C:vh"
void usage(const char *name, const char *badparam)
{
fprintf(stdout, "\n\
Test matrix inversions\n\
using LU, QR and Cholesky methods as well as Pseudo-inverse.\n\
Outputs a comparison of these methods.\n\
\n\
SYNOPSIS\n\
%s [-n <number of matrices>] [-f <plot filename>]\n\
[-R <number of rows>] [-C <number of columns>]\n\
[-i <number of iterations>] [-p] [-h]\n", name);
fprintf(stdout, "\n\
OPTIONS: Default\n\
-n <number of matrices> \n\
Number of matrices inverted during each test loop.\n\
\n\
-i <number of iterations> \n\
Number of iterations of the test.\n\
\n\
-f <plot filename> \n\
Set output path for plot output.\n\
The plot logs the times of \n\
the different inversion methods: \n\
QR,LU,Cholesky and Pseudo-inverse.\n\
\n\
-R <number of rows>\n\
Number of rows of the automatically generated matrices \n\
we test on.\n\
\n\
-C <number of columns>\n\
Number of colums of the automatically generated matrices \n\
we test on.\n\
\n\
-p \n\
Plot into filename in the gnuplot format. \n\
If this option is used, tests results will be logged \n\
into a filename specified with -f.\n\
\n\
-h\n\
Print the help.\n\n");
if (badparam) {
fprintf(stderr, "ERROR: \n");
fprintf(stderr, "\nBad parameter [%s]\n", badparam);
}
}
bool getOptions(int argc, const char **argv, unsigned int &nb_matrices, unsigned int &nb_iterations,
bool &use_plot_file, std::string &plotfile, unsigned int &nbrows, unsigned int &nbcols, bool &verbose)
{
const char *optarg_;
int c;
while ((c = vpParseArgv::parse(argc, argv, GETOPTARGS, &optarg_)) > 1) {
switch (c) {
case 'h':
usage(argv[0], NULL);
return false;
break;
case 'n':
nb_matrices = (unsigned int)atoi(optarg_);
break;
case 'i':
nb_iterations = (unsigned int)atoi(optarg_);
break;
case 'f':
plotfile = optarg_;
use_plot_file = true;
break;
case 'p':
use_plot_file = true;
break;
case 'R':
nbrows = (unsigned int)atoi(optarg_);
break;
case 'C':
nbcols = (unsigned int)atoi(optarg_);
break;
case 'v':
verbose = true;
break;
// add default options -c -d
case 'c':
break;
case 'd':
break;
default:
usage(argv[0], optarg_);
return false;
break;
}
}
if ((c == 1) || (c == -1)) {
// standalone param or error
usage(argv[0], NULL);
std::cerr << "ERROR: " << std::endl;
std::cerr << " Bad argument " << optarg_ << std::endl << std::endl;
return false;
}
return true;
}
vpMatrix make_random_matrix(unsigned int nbrows, unsigned int nbcols)
{
A.resize(nbrows, nbcols);
for (unsigned int i = 0; i < A.getRows(); i++)
for (unsigned int j = 0; j < A.getCols(); j++)
A[i][j] = (double)rand() / (double)RAND_MAX;
return A;
}
void create_bench(unsigned int nb_matrices, unsigned int nb_rows, unsigned int nb_cols, bool verbose,
std::vector<vpMatrix> &bench)
{
if (verbose)
std::cout << "Create a bench of " << nb_matrices << " " << nb_rows << " by " << nb_cols << " matrices" << std::endl;
bench.clear();
for (unsigned int i = 0; i < nb_matrices; i++) {
vpMatrix M = make_random_matrix(nb_rows, nb_cols);
bench.push_back(M);
}
}
void test_det_default(bool verbose, const std::vector<vpMatrix> &bench, double &time, std::vector<double> &result)
{
if (verbose)
std::cout << "Test determinant using default method" << std::endl;
// Compute inverse
if (verbose)
std::cout << " Matrix size: " << bench[0].AtA().getRows() << "x" << bench[0].AtA().getCols() << std::endl;
result.resize(bench.size());
double t = vpTime::measureTimeMs();
for (unsigned int i = 0; i < bench.size(); i++) {
result[i] = bench[i].AtA().det();
}
time = vpTime::measureTimeMs() - t;
}
#if defined(VISP_HAVE_EIGEN3)
void test_det_eigen3(bool verbose, const std::vector<vpMatrix> &bench, double &time, std::vector<double> &result)
{
if (verbose)
std::cout << "Test determinant using Eigen3 3rd party" << std::endl;
// Compute inverse
if (verbose)
std::cout << " Matrix size: " << bench[0].AtA().getRows() << "x" << bench[0].AtA().getCols() << std::endl;
result.resize(bench.size());
double t = vpTime::measureTimeMs();
for (unsigned int i = 0; i < bench.size(); i++) {
result[i] = bench[i].AtA().detByLUEigen3();
}
time = vpTime::measureTimeMs() - t;
}
#endif
#if defined(VISP_HAVE_GSL)
void test_det_gsl(bool verbose, const std::vector<vpMatrix> &bench, double &time, std::vector<double> &result)
{
if (verbose)
std::cout << "Test determinant using GSL 3rd party" << std::endl;
// Compute inverse
if (verbose)
std::cout << " Matrix size: " << bench[0].AtA().getRows() << "x" << bench[0].AtA().getCols() << std::endl;
result.resize(bench.size());
double t = vpTime::measureTimeMs();
for (unsigned int i = 0; i < bench.size(); i++) {
result[i] = bench[i].AtA().detByLUGsl();
}
time = vpTime::measureTimeMs() - t;
}
#endif
#if defined(VISP_HAVE_LAPACK)
void test_det_lapack(bool verbose, const std::vector<vpMatrix> &bench, double &time, std::vector<double> &result)
{
if (verbose)
std::cout << "Test determinant using Lapack 3rd party" << std::endl;
// Compute inverse
if (verbose)
std::cout << " Matrix size: " << bench[0].AtA().getRows() << "x" << bench[0].AtA().getCols() << std::endl;
result.resize(bench.size());
double t = vpTime::measureTimeMs();
for (unsigned int i = 0; i < bench.size(); i++) {
result[i] = bench[i].AtA().detByLULapack();
}
time = vpTime::measureTimeMs() - t;
}
#endif
#if (VISP_HAVE_OPENCV_VERSION >= 0x020101)
void test_det_opencv(bool verbose, const std::vector<vpMatrix> &bench, double &time, std::vector<double> &result)
{
if (verbose)
std::cout << "Test determinant using OpenCV 3rd party" << std::endl;
// Compute inverse
if (verbose)
std::cout << " Matrix size: " << bench[0].AtA().getRows() << "x" << bench[0].AtA().getCols() << std::endl;
result.resize(bench.size());
double t = vpTime::measureTimeMs();
for (unsigned int i = 0; i < bench.size(); i++) {
result[i] = bench[i].AtA().detByLUOpenCV();
}
time = vpTime::measureTimeMs() - t;
}
#endif
void save_time(const std::string &method, bool verbose, bool use_plot_file, std::ofstream &of, double time)
{
if (use_plot_file)
of << time << "\t";
if (verbose || !use_plot_file) {
std::cout << method << time << std::endl;
}
}
int main(int argc, const char *argv[])
{
try {
#if defined(VISP_HAVE_EIGEN3) || defined(VISP_HAVE_GSL) || defined(VISP_HAVE_LAPACK) || \
(VISP_HAVE_OPENCV_VERSION >= 0x020101)
unsigned int nb_matrices = 1000;
unsigned int nb_iterations = 10;
unsigned int nb_rows = 6;
unsigned int nb_cols = 6;
bool verbose = false;
std::string plotfile("plot-det.csv");
bool use_plot_file = false;
std::ofstream of;
// Read the command line options
if (getOptions(argc, argv, nb_matrices, nb_iterations, use_plot_file, plotfile, nb_rows, nb_cols, verbose) ==
false) {
exit(-1);
}
if (use_plot_file) {
of.open(plotfile.c_str());
of << "iter"
<< "\t";
of << "\"Determinant default\""
<< "\t";
#if defined(VISP_HAVE_LAPACK)
of << "\"Determinant Lapack\""
<< "\t";
#endif
#if defined(VISP_HAVE_EIGEN3)
of << "\"Determinant Eigen3\""
<< "\t";
#endif
#if (VISP_HAVE_OPENCV_VERSION >= 0x020101)
of << "\"Determinant OpenCV\""
<< "\t";
#endif
#if defined(VISP_HAVE_GSL)
of << "\"Determinant GSL\""
<< "\t";
#endif
of << std::endl;
}
int ret = EXIT_SUCCESS;
for (unsigned int iter = 0; iter < nb_iterations; iter++) {
std::vector<vpMatrix> bench;
create_bench(nb_matrices, nb_rows, nb_cols, verbose, bench);
if (use_plot_file)
of << iter << "\t";
double time;
std::vector<double> result_default;
test_det_default(verbose, bench, time, result_default);
save_time("Determinant default: ", verbose, use_plot_file, of, time);
#if defined(VISP_HAVE_LAPACK)
std::vector<double> result_lapack;
test_det_lapack(verbose, bench, time, result_lapack);
save_time("Determinant by Lapack: ", verbose, use_plot_file, of, time);
#endif
#if defined(VISP_HAVE_EIGEN3)
std::vector<double> result_eigen3;
test_det_eigen3(verbose, bench, time, result_eigen3);
save_time("Determinant by Eigen3: ", verbose, use_plot_file, of, time);
#endif
#if (VISP_HAVE_OPENCV_VERSION >= 0x020101)
std::vector<double> result_opencv;
test_det_opencv(verbose, bench, time, result_opencv);
save_time("Determinant by OpenCV: ", verbose, use_plot_file, of, time);
#endif
#if defined(VISP_HAVE_GSL)
std::vector<double> result_gsl;
test_det_gsl(verbose, bench, time, result_gsl);
save_time("Determinant by GSL: ", verbose, use_plot_file, of, time);
#endif
if (use_plot_file)
of << std::endl;
#if defined(VISP_HAVE_GSL) && (VISP_HAVE_OPENCV_VERSION >= 0x020101)
// Compare results
for (unsigned int i = 0; i < bench.size(); i++) {
if (std::fabs(result_gsl[i] - result_opencv[i]) > 1e-6) {
std::cout << "Determinant differ between GSL and OpenCV: " << result_gsl[i] << " " << result_opencv[i]
<< std::endl;
ret = EXIT_FAILURE;
}
}
#endif
#if defined(VISP_HAVE_GSL) && defined(VISP_HAVE_LAPACK)
// Compare results
for (unsigned int i = 0; i < bench.size(); i++) {
if (std::fabs(result_gsl[i] - result_lapack[i]) > 1e-6) {
std::cout << "Determinant differ between GSL and Lapack: " << result_gsl[i] << " " << result_lapack[i]
<< std::endl;
ret = EXIT_FAILURE;
}
}
#endif
#if defined(VISP_HAVE_GSL) && defined(VISP_HAVE_EIGEN3)
// Compare results
for (unsigned int i = 0; i < bench.size(); i++) {
if (std::fabs(result_gsl[i] - result_eigen3[i]) > 1e-6) {
std::cout << "Determinant differ between GSL and Eigen3: " << result_gsl[i] << " " << result_eigen3[i]
<< std::endl;
ret = EXIT_FAILURE;
}
}
#endif
#if defined(VISP_HAVE_LAPACK) && (VISP_HAVE_OPENCV_VERSION >= 0x020101)
// Compare results
for (unsigned int i = 0; i < bench.size(); i++) {
if (std::fabs(result_lapack[i] - result_opencv[i]) > 1e-6) {
std::cout << "Determinant differ between Lapack and OpenCV: " << result_lapack[i] << " " << result_opencv[i]
<< std::endl;
ret = EXIT_FAILURE;
}
}
#endif
#if defined(VISP_HAVE_EIGEN3) && (VISP_HAVE_OPENCV_VERSION >= 0x020101)
// Compare results
for (unsigned int i = 0; i < bench.size(); i++) {
if (std::fabs(result_eigen3[i] - result_opencv[i]) > 1e-6) {
std::cout << "Determinant differ between Eigen3 and OpenCV: " << result_eigen3[i] << " " << result_opencv[i]
<< std::endl;
ret = EXIT_FAILURE;
}
}
#endif
#if defined(VISP_HAVE_EIGEN3) && defined(VISP_HAVE_LAPACK)
// Compare results
for (unsigned int i = 0; i < bench.size(); i++) {
if (std::fabs(result_eigen3[i] - result_lapack[i]) > 1e-6) {
std::cout << "Determinant differ between Eigen3 and Lapack: " << result_eigen3[i] << " " << result_lapack[i]
<< std::endl;
ret = EXIT_FAILURE;
}
}
#endif
}
if (use_plot_file) {
of.close();
std::cout << "Result saved in " << plotfile << std::endl;
}
if (ret == EXIT_SUCCESS) {
std::cout << "Test succeed" << std::endl;
} else {
std::cout << "Test failed" << std::endl;
}
return ret;
#else
(void)argc;
(void)argv;
std::cout << "Test does nothing since you dont't have Eigen3, Lapack, "
"OpenCV or GSL 3rd party"
<< std::endl;
return EXIT_SUCCESS;
#endif
} catch (const vpException &e) {
std::cout << "Catch an exception: " << e.getStringMessage() << std::endl;
return EXIT_FAILURE;
}
}