EIG.h

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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 1994-2021 The Octave Project Developers
//
// See the file COPYRIGHT.md in the top-level directory of this
// distribution or <https://octave.org/copyright/>.
//
// This file is part of Octave.
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// under the terms of the GNU General Public License as published by
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////////////////////////////////////////////////////////////////////////
 
#if ! defined (octave_EIG_h)
#define octave_EIG_h 1
 
#include "octave-config.h"
 
#include <iosfwd>
 
#include "CColVector.h"
#include "CMatrix.h"
 
class Matrix;
 
class
OCTAVE_API
EIG
{
  friend class Matrix;
  friend class ComplexMatrix;
 
public:
 
  EIG (void) : lambda (), v (), w () { }
 
  EIG (const Matrix& a, bool calc_rev = true,
       bool calc_lev = true, bool balance = true)
    : lambda (), v (), w ()
  {
    init (a, calc_rev, calc_lev, balance);
  }
 
  EIG (const Matrix& a, octave_idx_type& info,
       bool calc_rev = true, bool calc_lev = true, bool balance = true)
    : lambda (), v (), w ()
  {
    info = init (a, calc_rev, calc_lev, balance);
  }
 
  EIG (const Matrix& a, const Matrix& b,
       bool calc_rev = true, bool calc_lev = true, bool force_qz = false)
    : lambda (), v (), w ()
  {
    init (a, b, calc_rev, calc_lev, force_qz);
  }
 
  EIG (const Matrix& a, const Matrix& b, octave_idx_type& info,
       bool calc_rev = true, bool calc_lev = true, bool force_qz = false)
    : lambda (), v (), w ()
  {
    info = init (a, b, calc_rev, calc_lev, force_qz);
  }
 
  EIG (const ComplexMatrix& a, bool calc_rev = true,
       bool calc_lev = true, bool balance = true)
    : lambda (), v (), w ()
  {
    init (a, calc_rev, calc_lev, balance);
  }
 
  EIG (const ComplexMatrix& a, octave_idx_type& info,
       bool calc_rev = true, bool calc_lev = true, bool balance = true)
    : lambda (), v (), w ()
  {
    info = init (a, calc_rev, calc_lev, balance);
  }
 
  EIG (const ComplexMatrix& a, const ComplexMatrix& b,
       bool calc_rev = true, bool calc_lev = true, bool force_qz = false)
    : lambda (), v (), w ()
  {
    init (a, b, calc_rev, calc_lev, force_qz);
  }
 
  EIG (const ComplexMatrix& a, const ComplexMatrix& b,
       octave_idx_type& info, bool calc_rev = true, bool calc_lev = true,
       bool force_qz = false)
    : lambda (), v (), w ()
  {
    info = init (a, b, calc_rev, calc_lev, force_qz);
  }
 
  EIG (const EIG& a) : lambda (a.lambda), v (a.v), w (a.w) { }
 
  EIG& operator = (const EIG& a)
  {
    if (this != &a)
      {
        lambda = a.lambda;
        v = a.v;
        w = a.w;
      }
    return *this;
  }
 
  ~EIG (void) = default;
 
  ComplexColumnVector eigenvalues (void) const { return lambda; }
  ComplexMatrix right_eigenvectors (void) const { return v; }
  ComplexMatrix left_eigenvectors (void) const { return w; }
 
  friend std::ostream&  operator << (std::ostream& os, const EIG& a);
 
private:
 
  ComplexColumnVector lambda;
  ComplexMatrix v;
  ComplexMatrix w;
 
  octave_idx_type init (const Matrix& a, bool calc_rev, bool calc_lev,
                        bool balance);
 
  octave_idx_type init (const Matrix& a, const Matrix& b,
                        bool calc_rev, bool calc_lev, bool force_qz);
 
  octave_idx_type init (const ComplexMatrix& a, bool calc_rev,
                        bool calc_lev, bool balance);
 
  octave_idx_type init (const ComplexMatrix& a, const ComplexMatrix& b,
                        bool calc_rev, bool calc_lev, bool force_qz);
 
  octave_idx_type symmetric_init (const Matrix& a, bool calc_rev,
                                  bool calc_lev);
 
  octave_idx_type symmetric_init (const Matrix& a, const Matrix& b,
                                  bool calc_rev, bool calc_lev);
 
  octave_idx_type hermitian_init (const ComplexMatrix& a,
                                  bool calc_rev, bool calc_lev);
 
  octave_idx_type hermitian_init (const ComplexMatrix& a,
                                  const ComplexMatrix& b,
                                  bool calc_rev, bool calc_lev);
 
};
 
#endif