Open Source Computer Vision Library https://opencv.org/
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/*M///////////////////////////////////////////////////////////////////////////////////////
//
// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
//
// By downloading, copying, installing or using the software you agree to this license.
// If you do not agree to this license, do not download, install,
// copy or use the software.
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//
// License Agreement
// For Open Source Computer Vision Library
//
// Copyright (C) 2013, OpenCV Foundation, all rights reserved.
// Third party copyrights are property of their respective owners.
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// Redistribution and use in source and binary forms, with or without modification,
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// this list of conditions and the following disclaimer.
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#include "test_precomp.hpp"
#include <iostream>
TEST(Optim_LpSolver, regression_basic){
cv::Mat A,B,z,etalon_z;
#if 1
//cormen's example #1
A=(cv::Mat_<double>(3,1)<<3,1,2);
B=(cv::Mat_<double>(3,4)<<1,1,3,30,2,2,5,24,4,1,2,36);
std::cout<<"here A goes\n"<<A<<"\n";
cv::optim::solveLP(A,B,z);
std::cout<<"here z goes\n"<<z<<"\n";
etalon_z=(cv::Mat_<double>(3,1)<<8,4,0);
ASSERT_EQ(cv::countNonZero(z!=etalon_z),0);
#endif
#if 1
//cormen's example #2
A=(cv::Mat_<double>(1,2)<<18,12.5);
B=(cv::Mat_<double>(3,3)<<1,1,20,1,0,20,0,1,16);
std::cout<<"here A goes\n"<<A<<"\n";
cv::optim::solveLP(A,B,z);
std::cout<<"here z goes\n"<<z<<"\n";
etalon_z=(cv::Mat_<double>(2,1)<<20,0);
ASSERT_EQ(cv::countNonZero(z!=etalon_z),0);
#endif
#if 1
//cormen's example #3
A=(cv::Mat_<double>(1,2)<<5,-3);
B=(cv::Mat_<double>(2,3)<<1,-1,1,2,1,2);
std::cout<<"here A goes\n"<<A<<"\n";
cv::optim::solveLP(A,B,z);
std::cout<<"here z goes\n"<<z<<"\n";
etalon_z=(cv::Mat_<double>(2,1)<<1,0);
ASSERT_EQ(cv::countNonZero(z!=etalon_z),0);
#endif
}
TEST(Optim_LpSolver, regression_init_unfeasible){
cv::Mat A,B,z,etalon_z;
#if 1
//cormen's example #4 - unfeasible
A=(cv::Mat_<double>(1,3)<<-1,-1,-1);
B=(cv::Mat_<double>(2,4)<<-2,-7.5,-3,-10000,-20,-5,-10,-30000);
std::cout<<"here A goes\n"<<A<<"\n";
cv::optim::solveLP(A,B,z);
std::cout<<"here z goes\n"<<z<<"\n";
etalon_z=(cv::Mat_<double>(3,1)<<1250,1000,0);
ASSERT_EQ(cv::countNonZero(z!=etalon_z),0);
#endif
}
TEST(Optim_LpSolver, regression_absolutely_unfeasible){
cv::Mat A,B,z,etalon_z;
#if 1
//trivial absolutely unfeasible example
A=(cv::Mat_<double>(1,1)<<1);
B=(cv::Mat_<double>(2,2)<<1,-1);
std::cout<<"here A goes\n"<<A<<"\n";
int res=cv::optim::solveLP(A,B,z);
ASSERT_EQ(res,-1);
#endif
}
TEST(Optim_LpSolver, regression_multiple_solutions){
cv::Mat A,B,z,etalon_z;
#if 1
//trivial example with multiple solutions
A=(cv::Mat_<double>(2,1)<<1,1);
B=(cv::Mat_<double>(1,3)<<1,1,1);
std::cout<<"here A goes\n"<<A<<"\n";
int res=cv::optim::solveLP(A,B,z);
printf("res=%d\n",res);
printf("scalar %g\n",z.dot(A));
std::cout<<"here z goes\n"<<z<<"\n";
ASSERT_EQ(res,1);
ASSERT_EQ(z.dot(A),1);
#endif
}
TEST(Optim_LpSolver, regression_cycling){
cv::Mat A,B,z,etalon_z;
#if 1
//example with cycling from http://people.orie.cornell.edu/miketodd/or630/SimplexCyclingExample.pdf
A=(cv::Mat_<double>(4,1)<<10,-57,-9,-24);
B=(cv::Mat_<double>(3,5)<<0.5,-5.5,-2.5,9,0,0.5,-1.5,-0.5,1,0,1,0,0,0,1);
std::cout<<"here A goes\n"<<A<<"\n";
int res=cv::optim::solveLP(A,B,z);
printf("res=%d\n",res);
printf("scalar %g\n",z.dot(A));
std::cout<<"here z goes\n"<<z<<"\n";
ASSERT_EQ(z.dot(A),1);
//ASSERT_EQ(res,1);
#endif
}