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5d8a084070
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b6fcd4b341
34 changed files with 972 additions and 139 deletions
79
test/unit/functions/svd.cpp
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79
test/unit/functions/svd.cpp
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//==================================================================================================
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/*
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ROTGEN - Runtime Overlay for Eigen
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Copyright : CODE RECKONS
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SPDX-License-Identifier: BSL-1.0
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*/
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//==================================================================================================
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#include "unit/tests.hpp"
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#include <rotgen/rotgen.hpp>
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TTS_CASE_TPL("SVD decomposition - Dynamic case", rotgen::tests::types)
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<typename T, typename O>( tts::type< tts::types<T,O>> )
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{
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int rank, i = 5;
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auto eps = std::numeric_limits<T>::epsilon();
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auto m = rotgen::matrix<T,rotgen::Dynamic,rotgen::Dynamic,O::value>::Random(5,5);
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auto decomp = rotgen::svd(m);
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do
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{
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rank = decomp.rank();
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auto u = decomp.U(rank);
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auto d = decomp.singular_values(rank);
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auto dd = decomp.D(rank);
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auto v = decomp.V(rank);
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TTS_EQUAL(rank, i);
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auto rec = (u * dd * rotgen::transpose(v));
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auto error = m - rec;
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TTS_LESS_EQUAL(rotgen::maxCoeff(rotgen::abs(error)) / eps, 16.)
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<< "Result:\n" << rec << "\n"
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<< "Residuals:\n" << error << "\n";
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// Reduce rank by duplicating one column
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i--;
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col(m,i) = col(m,0);
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decomp = rotgen::svd(m);
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}while(rank != 1);
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};
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TTS_CASE_TPL("SVD decomposition - Static case", rotgen::tests::types)
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<typename T, typename O>( tts::type< tts::types<T,O>> )
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{
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int rank, i = 5;
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auto eps = std::numeric_limits<T>::epsilon();
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auto m = rotgen::matrix<T,5,5,O::value>::Random();
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auto decomp = rotgen::svd(m);
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do
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{
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rank = decomp.rank();
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auto u = decomp.U(rank);
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auto d = decomp.singular_values(rank);
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auto dd = decomp.D(rank);
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auto v = decomp.V(rank);
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TTS_EQUAL(rank, i);
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auto rec = (u * dd * rotgen::transpose(v));
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auto error = m - rec;
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TTS_LESS_EQUAL(rotgen::maxCoeff(rotgen::abs(error)) / eps, 16.)
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<< "Result:\n" << rec << "\n"
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<< "Residuals:\n" << error << "\n";
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// Reduce rank by duplicating one column
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i--;
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col(m,i) = col(m,0);
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decomp = rotgen::svd(m);
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}while(rank != 1);
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};
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