1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2009-2011 Jitse Niesen <jitse@maths.leeds.ac.uk>
5//
6// This Source Code Form is subject to the terms of the Mozilla
7// Public License v. 2.0. If a copy of the MPL was not distributed
8// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9
10#include "main.h"
11#include <unsupported/Eigen/MatrixFunctions>
12
13template <typename MatrixType, int IsComplex = NumTraits<typename internal::traits<MatrixType>::Scalar>::IsComplex>
14struct generateTestMatrix;
15
16// for real matrices, make sure none of the eigenvalues are negative
17template <typename MatrixType>
18struct generateTestMatrix<MatrixType,0>
19{
20  static void run(MatrixType& result, typename MatrixType::Index size)
21  {
22    MatrixType mat = MatrixType::Random(size, size);
23    EigenSolver<MatrixType> es(mat);
24    typename EigenSolver<MatrixType>::EigenvalueType eivals = es.eigenvalues();
25    for (typename MatrixType::Index i = 0; i < size; ++i) {
26      if (eivals(i).imag() == 0 && eivals(i).real() < 0)
27	eivals(i) = -eivals(i);
28    }
29    result = (es.eigenvectors() * eivals.asDiagonal() * es.eigenvectors().inverse()).real();
30  }
31};
32
33// for complex matrices, any matrix is fine
34template <typename MatrixType>
35struct generateTestMatrix<MatrixType,1>
36{
37  static void run(MatrixType& result, typename MatrixType::Index size)
38  {
39    result = MatrixType::Random(size, size);
40  }
41};
42
43template <typename Derived, typename OtherDerived>
44double relerr(const MatrixBase<Derived>& A, const MatrixBase<OtherDerived>& B)
45{
46  return std::sqrt((A - B).cwiseAbs2().sum() / (std::min)(A.cwiseAbs2().sum(), B.cwiseAbs2().sum()));
47}
48