sparse-lu.h

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// Copyright (C) 1998-2021 The Octave Project Developers
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#if ! defined (octave_sparse_lu_h)
#define octave_sparse_lu_h 1
 
#include "octave-config.h"
 
#include "MArray.h"
#include "dMatrix.h"
#include "dSparse.h"
 
class ColumnVector;
class PermMatrix;
 
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 lu_type>
    class
    sparse_lu
    {
    public:
 
      typedef typename lu_type::element_type lu_elt_type;
 
      sparse_lu (void)
        : Lfact (), Ufact (), Rfact (), cond (0), P (), Q () { }
 
      sparse_lu (const lu_type& a, const Matrix& piv_thres = Matrix (),
                 bool scale = false);
 
      sparse_lu (const lu_type& a, const ColumnVector& Qinit,
                 const Matrix& piv_thres, bool scale = false,
                 bool FixedQ = false, double droptol = -1.0,
                 bool milu = false, bool udiag = false);
 
      sparse_lu (const sparse_lu& a)
        : Lfact (a.Lfact), Ufact (a.Ufact), Rfact (), cond (a.cond),
          P (a.P), Q (a.Q)
      { }
 
      sparse_lu& operator = (const sparse_lu& a)
      {
        if (this != &a)
          {
            Lfact = a.Lfact;
            Ufact = a.Ufact;
            cond = a.cond;
            P = a.P;
            Q = a.Q;
          }
 
        return *this;
      }
 
      virtual ~sparse_lu (void) = default;
 
      lu_type L (void) const { return Lfact; }
 
      lu_type U (void) const { return Ufact; }
 
      SparseMatrix R (void) const { return Rfact; }
 
      lu_type Y (void) const;
 
      SparseMatrix Pc (void) const;
 
      SparseMatrix Pr (void) const;
 
      ColumnVector Pc_vec (void) const;
 
      ColumnVector Pr_vec (void) const;
 
      PermMatrix Pc_mat (void) const;
 
      PermMatrix Pr_mat (void) const;
 
      const octave_idx_type * row_perm (void) const { return P.fortran_vec (); }
 
      const octave_idx_type * col_perm (void) const { return Q.fortran_vec (); }
 
      double rcond (void) const { return cond; }
 
    protected:
 
      lu_type Lfact;
      lu_type Ufact;
      SparseMatrix Rfact;
 
      double cond;
 
      MArray<octave_idx_type> P;
      MArray<octave_idx_type> Q;
    };
  }
}
 
#endif