rotgen/test/unit/functions/svd.cpp
2025-09-28 16:15:15 +02:00

79 lines
No EOL
2 KiB
C++

//==================================================================================================
/*
ROTGEN - Runtime Overlay for Eigen
Copyright : CODE RECKONS
SPDX-License-Identifier: BSL-1.0
*/
//==================================================================================================
#include "unit/tests.hpp"
#include <rotgen/rotgen.hpp>
TTS_CASE_TPL("SVD decomposition - Dynamic case", rotgen::tests::types)
<typename T, typename O>( tts::type< tts::types<T,O>> )
{
int rank, i = 5;
auto eps = std::numeric_limits<T>::epsilon();
auto m = rotgen::matrix<T,rotgen::Dynamic,rotgen::Dynamic,O::value>::Random(5,5);
auto decomp = rotgen::svd(m);
do
{
rank = decomp.rank();
auto u = decomp.U(rank);
auto d = decomp.singular_values(rank);
auto dd = decomp.D(rank);
auto v = decomp.V(rank);
TTS_EQUAL(rank, i);
auto rec = (u * dd * rotgen::transpose(v));
auto error = m - rec;
TTS_LESS_EQUAL(rotgen::maxCoeff(rotgen::abs(error)) / eps, 16.)
<< "Result:\n" << rec << "\n"
<< "Residuals:\n" << error << "\n";
// Reduce rank by duplicating one column
i--;
col(m,i) = col(m,0);
decomp = rotgen::svd(m);
}while(rank != 1);
};
TTS_CASE_TPL("SVD decomposition - Static case", rotgen::tests::types)
<typename T, typename O>( tts::type< tts::types<T,O>> )
{
int rank, i = 5;
auto eps = std::numeric_limits<T>::epsilon();
auto m = rotgen::matrix<T,5,5,O::value>::Random();
auto decomp = rotgen::svd(m);
do
{
rank = decomp.rank();
auto u = decomp.U(rank);
auto d = decomp.singular_values(rank);
auto dd = decomp.D(rank);
auto v = decomp.V(rank);
TTS_EQUAL(rank, i);
auto rec = (u * dd * rotgen::transpose(v));
auto error = m - rec;
TTS_LESS_EQUAL(rotgen::maxCoeff(rotgen::abs(error)) / eps, 16.)
<< "Result:\n" << rec << "\n"
<< "Residuals:\n" << error << "\n";
// Reduce rank by duplicating one column
i--;
col(m,i) = col(m,0);
decomp = rotgen::svd(m);
}while(rank != 1);
};