/usr/include/libwildmagic/Wm5EigenDecomposition.h is in libwildmagic-dev 5.13-1ubuntu3.
This file is owned by root:root, with mode 0o644.
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// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.2 (2014/07/02)
#ifndef WM5EIGENDECOMPOSITION_H
#define WM5EIGENDECOMPOSITION_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Matrix2.h"
#include "Wm5Matrix3.h"
#include "Wm5Matrix4.h"
#include "Wm5GMatrix.h"
#include "Wm5SymmetricEigensolverGTE.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM EigenDecomposition
{
public:
// Construction and destruction. The matrix of an eigensystem must be
// symmetric.
EigenDecomposition (int size);
EigenDecomposition (const Matrix2<Real>& mat);
EigenDecomposition (const Matrix3<Real>& mat);
EigenDecomposition (const GMatrix<Real>& mat);
~EigenDecomposition ();
// Set the matrix for the eigensystem.
Real& operator() (int row, int column);
EigenDecomposition& operator= (const Matrix2<Real>& mat);
EigenDecomposition& operator= (const Matrix3<Real>& mat);
EigenDecomposition& operator= (const GMatrix<Real>& mat);
// Solve the eigensystem. Set 'increasingSort' to 'true' when you want
// the eigenvalues to be sorted in increasing order; otherwise, the
// eigenvalues are sorted in decreasing order.
void Solve (bool increasingSort);
// Get the results. The calls to GetEigenvector2, GetEigenvectors2,
// GetEigenvector3, and GetEigenvector3 should be made only if you know
// that the eigensystem is of the corresponding size.
Real GetEigenvalue (int i) const;
const Real* GetEigenvalues () const;
Vector2<Real> GetEigenvector2 (int i) const;
Matrix2<Real> GetEigenvectors2 () const;
Vector3<Real> GetEigenvector3 (int i) const;
Matrix3<Real> GetEigenvectors3 () const;
GVector<Real> GetEigenvector (int i) const;
const GMatrix<Real>& GetEigenvectors () const;
private:
// This is a simple wrapper to preserve the Wild Magic 5 interface for
// eigendecomposition of symmetric matrices. The actual implementation
// lives in Wm5SymmetricEigensolverGTE.{h,cpp}.
GMatrix<Real> mMatrix;
// The eigenvectors are stored in mMatrix after the decomposition.
enum { MAX_ITERATIONS = 4096 };
SymmetricEigensolverGTE<Real> mSolver;
std::vector<Real> mEigenvalues;
};
typedef EigenDecomposition<float> EigenDecompositionf;
typedef EigenDecomposition<double> EigenDecompositiond;
}
#endif
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