view liboctave/array/CSparse.h @ 19352:d0c73e23a505

Change inheritance tree so that <T>Matrix inherit from <T>NDArray. * liboctave/array/CMatrix.cc, liboctave/array/CMatrix.h, liboctave/array/CNDArray.cc, liboctave/array/CNDArray.h, liboctave/array/dMatrix.cc, liboctave/array/dMatrix.h, liboctave/array/dNDArray.cc, liboctave/array/dNDArray.h, liboctave/array/fCMatrix.cc, liboctave/array/fCMatrix.h, liboctave/array/fCNDArray.cc, liboctave/array/fCNDArray.h, liboctave/array/fMatrix.cc, liboctave/array/fMatrix.h, liboctave/array/fNDArray.cc, liboctave/array/fNDArray.h: change base class of Matrix, FloatMatrix, ComplexMatrix, and FloatComplexMatrix to NDArray, FloatNDArray, ComplexNDArray, and FloatComplexNDArray respectively. This will allow to reduce duplicated code since the Matrix classes will be able to inherit many of their methods from their NDArray counterparts. Also remove the matrix_value () method since a constructor now suffices. * liboctave/array/CSparse.h: include CMatrix * libinterp/corefcn/pr-output.cc, libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-flt-cx-mat.cc, libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-re-mat.cc: replace calls to matrix_value () with constructor with respective Matrix subclass.
author Carnë Draug <carandraug@octave.org>
date Fri, 07 Nov 2014 08:15:55 +0000
parents 65554f5847ac
children 4197fc428c7d
line wrap: on
line source

/*

Copyright (C) 2004-2013 David Bateman
Copyright (C) 1998-2004 Andy Adler

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.

Octave is distributed in the hope that it will be useful, but 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
<http://www.gnu.org/licenses/>.

*/

#if !defined (octave_CSparse_h)
#define octave_CSparse_h 1

#include "dMatrix.h"
#include "dNDArray.h"
#include "CMatrix.h"
#include "CNDArray.h"
#include "dColVector.h"
#include "CColVector.h"
#include "oct-cmplx.h"

#include "DET.h"
#include "MSparse.h"
#include "MSparse-defs.h"

#include "Sparse-op-decls.h"

#include "MatrixType.h"

class PermMatrix;
class DiagMatrix;
class ComplexDiagMatrix;
class SparseMatrix;
class SparseBoolMatrix;

class
OCTAVE_API
SparseComplexMatrix : public MSparse<Complex>
{
public:

  typedef void (*solve_singularity_handler) (double rcond);

  SparseComplexMatrix (void) : MSparse<Complex> () { }

  SparseComplexMatrix (octave_idx_type r,
                       octave_idx_type c) : MSparse<Complex> (r, c) { }

  SparseComplexMatrix (const dim_vector& dv, octave_idx_type nz = 0)
    : MSparse<Complex> (dv, nz) { }

  explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c,
                                Complex val)
    : MSparse<Complex> (r, c, val) { }

  SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val)
    : MSparse<Complex> (r, c, Complex (val)) { }

  SparseComplexMatrix (const SparseComplexMatrix& a)
    : MSparse<Complex> (a) { }

  SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv)
    : MSparse<Complex> (a, dv) { }

  SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { }

  SparseComplexMatrix (const Sparse<Complex>& a) : MSparse<Complex> (a) { }

  explicit SparseComplexMatrix (const ComplexMatrix& a)
    : MSparse<Complex> (a) { }

  explicit SparseComplexMatrix (const ComplexNDArray& a)
    : MSparse<Complex> (a) { }

  SparseComplexMatrix (const Array<Complex>& a, const idx_vector& r,
                       const idx_vector& c, octave_idx_type nr = -1,
                       octave_idx_type nc = -1, bool sum_terms = true,
                       octave_idx_type nzm = -1)
    : MSparse<Complex> (a, r, c, nr, nc, sum_terms, nzm) { }

  explicit SparseComplexMatrix (const SparseMatrix& a);

  explicit SparseComplexMatrix (const SparseBoolMatrix& a);

  explicit SparseComplexMatrix (const ComplexDiagMatrix& a);

  SparseComplexMatrix (octave_idx_type r, octave_idx_type c,
                       octave_idx_type num_nz)
    : MSparse<Complex> (r, c, num_nz) { }

  SparseComplexMatrix& operator = (const SparseComplexMatrix& a)
  {
    MSparse<Complex>::operator = (a);
    return *this;
  }

  bool operator == (const SparseComplexMatrix& a) const;
  bool operator != (const SparseComplexMatrix& a) const;

  bool is_hermitian (void) const;

  SparseComplexMatrix max (int dim = -1) const;
  SparseComplexMatrix max (Array<octave_idx_type>& index, int dim = -1) const;
  SparseComplexMatrix min (int dim = -1) const;
  SparseComplexMatrix min (Array<octave_idx_type>& index, int dim = -1) const;

  SparseComplexMatrix& insert (const SparseComplexMatrix& a,
                               octave_idx_type r, octave_idx_type c);
  SparseComplexMatrix& insert (const SparseMatrix& a,
                               octave_idx_type r, octave_idx_type c);
  SparseComplexMatrix& insert (const SparseComplexMatrix& a,
                               const Array<octave_idx_type>& indx);
  SparseComplexMatrix& insert (const SparseMatrix& a,
                               const Array<octave_idx_type>& indx);

  SparseComplexMatrix concat (const SparseComplexMatrix& rb,
                              const Array<octave_idx_type>& ra_idx);
  SparseComplexMatrix concat (const SparseMatrix& rb,
                              const Array<octave_idx_type>& ra_idx);

  ComplexMatrix matrix_value (void) const;

  SparseComplexMatrix hermitian (void) const;  // complex conjugate transpose
  SparseComplexMatrix transpose (void) const
  { return MSparse<Complex>::transpose (); }

  friend SparseComplexMatrix conj (const SparseComplexMatrix& a);

  // extract row or column i.

  ComplexRowVector row (octave_idx_type i) const;

  ComplexColumnVector column (octave_idx_type i) const;

private:
  SparseComplexMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
                                double& rcond, const bool force = false,
                                const bool calccond = true) const;

  SparseComplexMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
                                double& rcond, const bool force = false,
                                const bool calccond = true) const;

public:
  SparseComplexMatrix inverse (void) const;
  SparseComplexMatrix inverse (MatrixType& mattype) const;
  SparseComplexMatrix inverse (MatrixType& mattype,
                               octave_idx_type& info) const;
  SparseComplexMatrix inverse (MatrixType& mattype, octave_idx_type& info,
                               double& rcond, int force = 0,
                               int calc_cond = 1) const;

  ComplexDET determinant (void) const;
  ComplexDET determinant (octave_idx_type& info) const;
  ComplexDET determinant (octave_idx_type& info, double& rcond,
                          int calc_cond = 1) const;

private:
  // Diagonal matrix solvers
  ComplexMatrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
                        double& rcond, solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

  ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
                        octave_idx_type& info, double& rcond,
                        solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

  SparseComplexMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
                              octave_idx_type& info, double& rcond,
                              solve_singularity_handler sing_handler,
                              bool calc_cond = false) const;

  SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b,
                              octave_idx_type& info, double& rcond,
                              solve_singularity_handler sing_handler,
                              bool calc_cond = false) const;

  // Upper triangular matrix solvers
  ComplexMatrix utsolve (MatrixType &typ, const Matrix& b,
                         octave_idx_type& info, double& rcond,
                         solve_singularity_handler sing_handler,
                         bool calc_cond = false) const;

  ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
                         octave_idx_type& info, double& rcond,
                         solve_singularity_handler sing_handler,
                         bool calc_cond = false) const;

  SparseComplexMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
                               octave_idx_type& info, double& rcond,
                               solve_singularity_handler sing_handler,
                               bool calc_cond = false) const;

  SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b,
                               octave_idx_type& info, double& rcond,
                               solve_singularity_handler sing_handler,
                               bool calc_cond = false) const;

  // Lower triangular matrix solvers
  ComplexMatrix ltsolve (MatrixType &typ, const Matrix& b,
                         octave_idx_type& info, double& rcond,
                         solve_singularity_handler sing_handler,
                         bool calc_cond = false) const;

  ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
                         octave_idx_type& info, double& rcond,
                         solve_singularity_handler sing_handler,
                         bool calc_cond = false) const;

  SparseComplexMatrix ltsolve (MatrixType &typ, const SparseMatrix& b,
                               octave_idx_type& info, double& rcond,
                               solve_singularity_handler sing_handler,
                               bool calc_cond = false) const;

  SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b,
                               octave_idx_type& info, double& rcond,
                               solve_singularity_handler sing_handler,
                               bool calc_cond = false) const;

  // Tridiagonal matrix solvers
  ComplexMatrix trisolve (MatrixType &typ, const Matrix& b,
                          octave_idx_type& info, double& rcond,
                          solve_singularity_handler sing_handler,
                          bool calc_cond = false) const;

  ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b,
                          octave_idx_type& info, double& rcond,
                          solve_singularity_handler sing_handler,
                          bool calc_cond = false) const;

  SparseComplexMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
                                octave_idx_type& info, double& rcond,
                                solve_singularity_handler sing_handler,
                                bool calc_cond = false) const;

  SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b,
                                octave_idx_type& info, double& rcond,
                                solve_singularity_handler sing_handler,
                                bool calc_cond = false) const;

  // Banded matrix solvers (umfpack/cholesky)
  ComplexMatrix bsolve (MatrixType &typ, const Matrix& b,
                        octave_idx_type& info, double& rcond,
                        solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

  ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
                        octave_idx_type& info, double& rcond,
                        solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

  SparseComplexMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
                              octave_idx_type& info, double& rcond,
                              solve_singularity_handler sing_handler,
                              bool calc_cond = false) const;

  SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b,
                              octave_idx_type& info, double& rcond,
                              solve_singularity_handler sing_handler,
                              bool calc_cond = false) const;

  // Full matrix solvers (umfpack/cholesky)
  void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
                    Matrix &Info, solve_singularity_handler sing_handler,
                    bool calc_cond) const;

  ComplexMatrix fsolve (MatrixType &typ, const Matrix& b,
                        octave_idx_type& info, double& rcond,
                        solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

  ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
                        octave_idx_type& info, double& rcond,
                        solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

  SparseComplexMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
                              octave_idx_type& info, double& rcond,
                              solve_singularity_handler sing_handler,
                              bool calc_cond = false) const;

  SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b,
                              octave_idx_type& info, double& rcond,
                              solve_singularity_handler sing_handler,
                              bool calc_cond = false) const;

public:
  // Generic interface to solver with no probing of type
  ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
  ComplexMatrix solve (MatrixType &typ, const Matrix& b,
                       octave_idx_type& info) const;
  ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
                       double& rcond) const;
  ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
                       double& rcond, solve_singularity_handler sing_handler,
                       bool singular_fallback = true) const;

  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
                       octave_idx_type& info) const;
  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
                       octave_idx_type& info, double& rcond) const;
  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
                       octave_idx_type& info, double& rcond,
                       solve_singularity_handler sing_handler,
                       bool singular_fallback = true) const;

  SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
  SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
                             octave_idx_type& info) const;
  SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
                             octave_idx_type& info, double& rcond) const;
  SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b,
                             octave_idx_type& info, double& rcond,
                             solve_singularity_handler sing_handler,
                             bool singular_fallback = true) const;

  SparseComplexMatrix solve (MatrixType &typ,
                             const SparseComplexMatrix& b) const;
  SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
                             octave_idx_type& info) const;
  SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
                             octave_idx_type& info, double& rcond) const;
  SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
                             octave_idx_type& info, double& rcond,
                             solve_singularity_handler sing_handler,
                             bool singular_fallback = true) const;

  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
                             octave_idx_type& info, double& rcond) const;
  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
                             octave_idx_type& info, double& rcond,
                             solve_singularity_handler sing_handler) const;

  ComplexColumnVector solve (MatrixType &typ,
                             const ComplexColumnVector& b) const;
  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
                             octave_idx_type& info, double& rcond) const;
  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
                             octave_idx_type& info, double& rcond,
                             solve_singularity_handler sing_handler) const;

  // Generic interface to solver with probing of type
  ComplexMatrix solve (const Matrix& b) const;
  ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
  ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
                       double& rcond) const;
  ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
                       solve_singularity_handler sing_handler) const;

  ComplexMatrix solve (const ComplexMatrix& b) const;
  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
                       double& rcond) const;
  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
                       double& rcond,
                       solve_singularity_handler sing_handler) const;

  SparseComplexMatrix solve (const SparseMatrix& b) const;
  SparseComplexMatrix solve (const SparseMatrix& b,
                             octave_idx_type& info) const;
  SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
                             double& rcond) const;
  SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info,
                             double& rcond,
                             solve_singularity_handler sing_handler) const;

  SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
  SparseComplexMatrix solve (const SparseComplexMatrix& b,
                             octave_idx_type& info) const;
  SparseComplexMatrix solve (const SparseComplexMatrix& b,
                             octave_idx_type& info, double& rcond) const;
  SparseComplexMatrix solve (const SparseComplexMatrix& b,
                             octave_idx_type& info, double& rcond,
                             solve_singularity_handler sing_handler) const;

  ComplexColumnVector solve (const ColumnVector& b) const;
  ComplexColumnVector solve (const ColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
                             double& rcond) const;
  ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
                             double& rcond,
                             solve_singularity_handler sing_handler) const;

  ComplexColumnVector solve (const ComplexColumnVector& b) const;
  ComplexColumnVector solve (const ComplexColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (const ComplexColumnVector& b,
                             octave_idx_type& info, double& rcond) const;
  ComplexColumnVector solve (const ComplexColumnVector& b,
                             octave_idx_type& info, double& rcond,
                             solve_singularity_handler sing_handler) const;

  SparseComplexMatrix squeeze (void) const;

  SparseComplexMatrix reshape (const dim_vector& new_dims) const;

  SparseComplexMatrix permute (const Array<octave_idx_type>& vec,
                               bool inv = false) const;

  SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const;

  bool any_element_is_nan (void) const;
  bool any_element_is_inf_or_nan (void) const;
  bool all_elements_are_real (void) const;
  bool all_integers (double& max_val, double& min_val) const;
  bool too_large_for_float (void) const;

  SparseBoolMatrix operator ! (void) const;

  SparseBoolMatrix all (int dim = -1) const;
  SparseBoolMatrix any (int dim = -1) const;

  SparseComplexMatrix cumprod (int dim = -1) const;
  SparseComplexMatrix cumsum (int dim = -1) const;
  SparseComplexMatrix prod (int dim = -1) const;
  SparseComplexMatrix sum (int dim = -1) const;
  SparseComplexMatrix sumsq (int dim = -1) const;
  SparseMatrix abs (void) const;

  SparseComplexMatrix diag (octave_idx_type k = 0) const;

  // i/o
  friend OCTAVE_API std::ostream& operator << (std::ostream& os,
                                               const SparseComplexMatrix& a);
  friend OCTAVE_API std::istream& operator >> (std::istream& is,
                                               SparseComplexMatrix& a);
};

extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
                                                  const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
                                                  const SparseComplexMatrix&);

extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
                                            const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
                                            const SparseMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
                                            const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix mul_trans (const ComplexMatrix&,
                                           const SparseComplexMatrix&);
extern OCTAVE_API ComplexMatrix mul_herm (const ComplexMatrix&,
                                          const SparseComplexMatrix&);

extern OCTAVE_API ComplexMatrix operator * (const SparseMatrix&,
                                            const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
                                            const Matrix&);
extern OCTAVE_API ComplexMatrix operator * (const SparseComplexMatrix&,
                                            const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix trans_mul (const SparseComplexMatrix&,
                                           const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix herm_mul (const SparseComplexMatrix&,
                                          const ComplexMatrix&);

extern OCTAVE_API SparseComplexMatrix operator * (const DiagMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
                                                  const DiagMatrix&);

extern OCTAVE_API SparseComplexMatrix operator * (const ComplexDiagMatrix&,
                                                  const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseMatrix&,
                                                  const ComplexDiagMatrix&);

extern OCTAVE_API SparseComplexMatrix operator * (const ComplexDiagMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
                                                  const ComplexDiagMatrix&);

extern OCTAVE_API SparseComplexMatrix operator + (const ComplexDiagMatrix&,
                                                  const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const DiagMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const ComplexDiagMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const SparseMatrix&,
                                                  const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const SparseComplexMatrix&,
                                                  const DiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator + (const SparseComplexMatrix&,
                                                  const ComplexDiagMatrix&);

extern OCTAVE_API SparseComplexMatrix operator - (const ComplexDiagMatrix&,
                                                  const SparseMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const DiagMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const ComplexDiagMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const SparseMatrix&,
                                                  const ComplexDiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const SparseComplexMatrix&,
                                                  const DiagMatrix&);
extern OCTAVE_API SparseComplexMatrix operator - (const SparseComplexMatrix&,
                                                  const ComplexDiagMatrix&);

extern OCTAVE_API SparseComplexMatrix operator * (const PermMatrix&,
                                                  const SparseComplexMatrix&);
extern OCTAVE_API SparseComplexMatrix operator * (const SparseComplexMatrix&,
                                                  const PermMatrix&);

extern OCTAVE_API SparseComplexMatrix min (const Complex& c,
                                           const SparseComplexMatrix& m);
extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& m,
                                           const Complex& c);
extern OCTAVE_API SparseComplexMatrix min (const SparseComplexMatrix& a,
                                           const SparseComplexMatrix& b);

extern OCTAVE_API SparseComplexMatrix max (const Complex& c,
                                           const SparseComplexMatrix& m);
extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& m,
                                           const Complex& c);
extern OCTAVE_API SparseComplexMatrix max (const SparseComplexMatrix& a,
                                           const SparseComplexMatrix& b);

SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)
SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex, OCTAVE_API)

SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)
SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix, OCTAVE_API)

SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)
SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix, OCTAVE_API)

SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex)

#ifdef USE_64_BIT_IDX_T
#define UMFPACK_ZNAME(name) umfpack_zl_ ## name
#else
#define UMFPACK_ZNAME(name) umfpack_zi_ ## name
#endif

#endif