1 | // This file is part of Eigen, a lightweight C++ template library
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2 | // for linear algebra.
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3 | //
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4 | // Copyright (C) 2009-2011 Jitse Niesen <jitse@maths.leeds.ac.uk>
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5 | //
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6 | // This Source Code Form is subject to the terms of the Mozilla
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7 | // Public License v. 2.0. If a copy of the MPL was not distributed
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8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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9 |
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10 | #include "main.h"
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11 | #include <unsupported/Eigen/MatrixFunctions>
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12 |
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13 | template <typename MatrixType, int IsComplex = NumTraits<typename internal::traits<MatrixType>::Scalar>::IsComplex>
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14 | struct generateTestMatrix;
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15 |
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16 | // for real matrices, make sure none of the eigenvalues are negative
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17 | template <typename MatrixType>
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18 | struct generateTestMatrix<MatrixType,0>
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19 | {
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20 | static void run(MatrixType& result, typename MatrixType::Index size)
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21 | {
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22 | MatrixType mat = MatrixType::Random(size, size);
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23 | EigenSolver<MatrixType> es(mat);
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24 | typename EigenSolver<MatrixType>::EigenvalueType eivals = es.eigenvalues();
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25 | for (typename MatrixType::Index i = 0; i < size; ++i) {
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26 | if (eivals(i).imag() == 0 && eivals(i).real() < 0)
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27 | eivals(i) = -eivals(i);
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28 | }
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29 | result = (es.eigenvectors() * eivals.asDiagonal() * es.eigenvectors().inverse()).real();
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30 | }
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31 | };
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32 |
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33 | // for complex matrices, any matrix is fine
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34 | template <typename MatrixType>
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35 | struct generateTestMatrix<MatrixType,1>
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36 | {
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37 | static void run(MatrixType& result, typename MatrixType::Index size)
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38 | {
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39 | result = MatrixType::Random(size, size);
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40 | }
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41 | };
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42 |
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43 | template <typename Derived, typename OtherDerived>
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44 | double relerr(const MatrixBase<Derived>& A, const MatrixBase<OtherDerived>& B)
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45 | {
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46 | return std::sqrt((A - B).cwiseAbs2().sum() / (std::min)(A.cwiseAbs2().sum(), B.cwiseAbs2().sum()));
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47 | }
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