sparse-qr.h

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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 2005-2021 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.
//
// 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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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
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// You should have received a copy of the GNU General Public License
// along with Octave; see the file COPYING.  If not, see
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////////////////////////////////////////////////////////////////////////
 
#if ! defined (octave_sparse_qr_h)
#define octave_sparse_qr_h 1
 
#include "octave-config.h"
 
#include "oct-cmplx.h"
 
class Matrix;
class ComplexMatrix;
class SparseComplexMatrix;
class SparseMatrix;
class ColumnVector;
template <typename T> class MArray;
 
namespace octave
{
  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:
 
      sparse_qr (void);
 
      sparse_qr (const SPARSE_T& a, int order = 0);
 
      sparse_qr (const sparse_qr& a);
 
      ~sparse_qr (void);
 
      sparse_qr& operator = (const sparse_qr& a);
 
      bool ok (void) const;
 
      SPARSE_T V (void) const;
 
      ColumnVector Pinv (void) const;
 
      ColumnVector P (void) const;
 
      SPARSE_T R (bool econ = false) const;
 
      typename SPARSE_T::dense_matrix_type
      C (const typename SPARSE_T::dense_matrix_type& b) const;
 
      typename SPARSE_T::dense_matrix_type
      Q (void) const;
 
      template <typename RHS_T, typename RET_T>
      static RET_T
      solve (const SPARSE_T& a, const RHS_T& b,
             octave_idx_type& info);
 
    private:
 
      class sparse_qr_rep;
 
      sparse_qr_rep *rep;
 
      template <typename RHS_T, typename RET_T>
      RET_T
      tall_solve (const RHS_T& b, octave_idx_type& info) const;
 
      template <typename RHS_T, typename RET_T>
      RET_T
      wide_solve (const RHS_T& b, octave_idx_type& info) const;
    };
 
    // Provide qrsolve for backward compatibility.
 
    extern Matrix
    qrsolve (const SparseMatrix& a, const MArray<double>& b,
             octave_idx_type& info);
 
    extern SparseMatrix
    qrsolve (const SparseMatrix& a, const SparseMatrix& b,
             octave_idx_type& info);
 
    extern ComplexMatrix
    qrsolve (const SparseMatrix& a, const MArray<Complex>& b,
             octave_idx_type& info);
 
    extern SparseComplexMatrix
    qrsolve (const SparseMatrix& a, const SparseComplexMatrix& b,
             octave_idx_type& info);
 
    extern ComplexMatrix
    qrsolve (const SparseComplexMatrix& a, const MArray<double>& b,
             octave_idx_type& info);
 
    extern SparseComplexMatrix
    qrsolve (const SparseComplexMatrix& a, const SparseMatrix& b,
             octave_idx_type& info);
 
    extern ComplexMatrix
    qrsolve (const SparseComplexMatrix& a, const MArray<Complex>& b,
             octave_idx_type& info);
 
    extern SparseComplexMatrix
    qrsolve (const SparseComplexMatrix& a, const SparseComplexMatrix& b,
             octave_idx_type& info);
 
    typedef sparse_qr<SparseMatrix> SparseQR;
    typedef sparse_qr<SparseComplexMatrix> SparseComplexQR;
  }
}
 
#endif