sparse-qr.h

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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 2005-2026 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.
//
// Octave is free software: you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
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// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with Octave; see the file COPYING.  If not, see
// <https://www.gnu.org/licenses/>.
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////////////////////////////////////////////////////////////////////////
 
#if ! defined (octave_sparse_qr_h)
#define octave_sparse_qr_h 1
 
#include "octave-config.h"
 
#include <memory>
 
#include "oct-cmplx.h"
#include "MArray-fwd.h"
#include "mx-fwd.h"
 
OCTAVE_BEGIN_NAMESPACE(octave)
OCTAVE_BEGIN_NAMESPACE(math)
 
// If the sparse matrix classes become templated on the element type
// (i.e., sparse_matrix<double>), then it might be best to make the
// template parameter of this class also be the element type instead
// of the matrix type.
 
template <typename SPARSE_T>
class sparse_qr
{
public:
 
  OCTAVE_API sparse_qr ();
 
#if (defined (HAVE_SPQR) && defined (HAVE_CHOLMOD))
  // order = 7 selects SPQR default ordering
  OCTAVE_API sparse_qr (const SPARSE_T& a, int order = 7);
#elif defined (HAVE_CXSPARSE)
  // order = 3 selects CXSparse default ordering
  OCTAVE_API sparse_qr (const SPARSE_T& a, int order = 3);
#else
  OCTAVE_API sparse_qr (const SPARSE_T& a, int order = 0);
#endif
 
  sparse_qr (const sparse_qr& a) = default;
 
  ~sparse_qr () = default;
 
  sparse_qr& operator = (const sparse_qr& a) = default;
 
  OCTAVE_API bool ok () const;
 
  OCTAVE_API ColumnVector E () const;
 
  // constructs permutation matrix from permutation vector rep -> E()
  OCTAVE_API SparseMatrix E_MAT () const;
 
  OCTAVE_API SPARSE_T V () const;
 
  OCTAVE_API ColumnVector Pinv () const;
 
  OCTAVE_API ColumnVector P () const;
 
  OCTAVE_API SPARSE_T R (bool econ = false) const;
 
  OCTAVE_API typename SPARSE_T::dense_matrix_type
  C (const typename SPARSE_T::dense_matrix_type& b, bool econ = false) const;
 
  OCTAVE_API typename SPARSE_T::dense_matrix_type
  Q (bool econ = false) const;
 
  template <typename RHS_T, typename RET_T>
  static OCTAVE_API RET_T
  solve (const SPARSE_T& a, const RHS_T& b,
         octave_idx_type& info);
 
private:
 
  template <typename RHS_T, typename RET_T>
  static OCTAVE_API RET_T
  min2norm_solve (const SPARSE_T& a, const RHS_T& b,
                  octave_idx_type& info, int order);
 
  template <typename RHS_T, typename RET_T>
  OCTAVE_API RET_T
  tall_solve (const RHS_T& b, octave_idx_type& info) const;
 
  template <typename RHS_T, typename RET_T>
  OCTAVE_API RET_T
  wide_solve (const RHS_T& b, octave_idx_type& info) const;
 
  //--------
  class sparse_qr_rep;
 
  std::shared_ptr<sparse_qr_rep> m_rep;
};
 
// extern instantiations with set visibility/export/import attribute
 
extern template class OCTAVE_EXTERN_TEMPLATE_API sparse_qr<SparseMatrix>;
 
extern template class OCTAVE_EXTERN_TEMPLATE_API sparse_qr<SparseComplexMatrix>;
 
// Provide qrsolve for backward compatibility.
 
extern OCTAVE_API Matrix
qrsolve (const SparseMatrix& a, const MArray<double>& b,
         octave_idx_type& info);
 
extern OCTAVE_API SparseMatrix
qrsolve (const SparseMatrix& a, const SparseMatrix& b,
         octave_idx_type& info);
 
extern OCTAVE_API ComplexMatrix
qrsolve (const SparseMatrix& a, const MArray<Complex>& b,
         octave_idx_type& info);
 
extern OCTAVE_API SparseComplexMatrix
qrsolve (const SparseMatrix& a, const SparseComplexMatrix& b,
         octave_idx_type& info);
 
extern OCTAVE_API ComplexMatrix
qrsolve (const SparseComplexMatrix& a, const MArray<double>& b,
         octave_idx_type& info);
 
extern OCTAVE_API SparseComplexMatrix
qrsolve (const SparseComplexMatrix& a, const SparseMatrix& b,
         octave_idx_type& info);
 
extern OCTAVE_API ComplexMatrix
qrsolve (const SparseComplexMatrix& a, const MArray<Complex>& b,
         octave_idx_type& info);
 
extern OCTAVE_API SparseComplexMatrix
qrsolve (const SparseComplexMatrix& a, const SparseComplexMatrix& b,
         octave_idx_type& info);
 
typedef sparse_qr<SparseMatrix> SparseQR;
typedef sparse_qr<SparseComplexMatrix> SparseComplexQR;
 
OCTAVE_END_NAMESPACE(math)
OCTAVE_END_NAMESPACE(octave)
 
#endif