fMatrix.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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////////////////////////////////////////////////////////////////////////
 
#if ! defined (octave_fMatrix_h)
#define octave_fMatrix_h 1
 
#include "octave-config.h"
 
#include "DET.h"
#include "MArray.h"
#include "MDiagArray2.h"
#include "MatrixType.h"
#include "fNDArray.h"
#include "mx-defs.h"
#include "mx-op-decl.h"
 
class
OCTAVE_API
FloatMatrix : public FloatNDArray
{
public:
 
  typedef FloatColumnVector column_vector_type;
  typedef FloatRowVector row_vector_type;
 
  typedef FloatColumnVector real_column_vector_type;
  typedef FloatRowVector real_row_vector_type;
 
  typedef FloatMatrix real_matrix_type;
  typedef FloatComplexMatrix complex_matrix_type;
 
  typedef FloatDiagMatrix real_diag_matrix_type;
  typedef FloatComplexDiagMatrix complex_diag_matrix_type;
 
  typedef float real_elt_type;
  typedef FloatComplex complex_elt_type;
 
  typedef void (*solve_singularity_handler) (float rcon);
 
  FloatMatrix (void) = default;
 
  FloatMatrix (const FloatMatrix& a) = default;
 
  FloatMatrix& operator = (const FloatMatrix& a) = default;
 
  ~FloatMatrix (void) = default;
 
  FloatMatrix (octave_idx_type r, octave_idx_type c)
    : FloatNDArray (dim_vector (r, c)) { }
 
  FloatMatrix (octave_idx_type r, octave_idx_type c, float val)
    : FloatNDArray (dim_vector (r, c), val) { }
 
  FloatMatrix (const dim_vector& dv) : FloatNDArray (dv.redim (2)) { }
 
  FloatMatrix (const dim_vector& dv, float val)
    : FloatNDArray (dv.redim (2), val) { }
 
  template <typename U>
  FloatMatrix (const MArray<U>& a) : FloatNDArray (a.as_matrix ()) { }
 
  template <typename U>
  FloatMatrix (const Array<U>& a) : FloatNDArray (a.as_matrix ()) { }
 
  explicit FloatMatrix (const FloatRowVector& rv);
 
  explicit FloatMatrix (const FloatColumnVector& cv);
 
  explicit FloatMatrix (const FloatDiagMatrix& a);
 
  explicit FloatMatrix (const MDiagArray2<float>& a);
 
  explicit FloatMatrix (const DiagArray2<float>& a);
 
  explicit FloatMatrix (const PermMatrix& a);
 
  explicit FloatMatrix (const boolMatrix& a);
 
  explicit FloatMatrix (const charMatrix& a);
 
  bool operator == (const FloatMatrix& a) const;
  bool operator != (const FloatMatrix& a) const;
 
  bool issymmetric (void) const;
 
  // destructive insert/delete/reorder operations
 
  FloatMatrix& insert (const FloatMatrix& a,
                       octave_idx_type r, octave_idx_type c);
  FloatMatrix& insert (const FloatRowVector& a,
                       octave_idx_type r, octave_idx_type c);
  FloatMatrix& insert (const FloatColumnVector& a,
                       octave_idx_type r, octave_idx_type c);
  FloatMatrix& insert (const FloatDiagMatrix& a,
                       octave_idx_type r, octave_idx_type c);
 
  FloatMatrix& fill (float val);
  FloatMatrix& fill (float val, octave_idx_type r1, octave_idx_type c1,
                     octave_idx_type r2, octave_idx_type c2);
 
  FloatMatrix append (const FloatMatrix& a) const;
  FloatMatrix append (const FloatRowVector& a) const;
  FloatMatrix append (const FloatColumnVector& a) const;
  FloatMatrix append (const FloatDiagMatrix& a) const;
 
  FloatMatrix stack (const FloatMatrix& a) const;
  FloatMatrix stack (const FloatRowVector& a) const;
  FloatMatrix stack (const FloatColumnVector& a) const;
  FloatMatrix stack (const FloatDiagMatrix& a) const;
 
  friend OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
  friend OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
 
  friend class FloatComplexMatrix;
 
  FloatMatrix hermitian (void) const { return MArray<float>::transpose (); }
  FloatMatrix transpose (void) const { return MArray<float>::transpose (); }
 
  // resize is the destructive equivalent for this one
 
  FloatMatrix extract (octave_idx_type r1, octave_idx_type c1,
                       octave_idx_type r2, octave_idx_type c2) const;
 
  FloatMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
                         octave_idx_type nr, octave_idx_type nc) const;
 
  // extract row or column i.
 
  FloatRowVector row (octave_idx_type i) const;
 
  FloatColumnVector column (octave_idx_type i) const;
 
  void resize (octave_idx_type nr, octave_idx_type nc, float rfv = 0)
  {
    MArray<float>::resize (dim_vector (nr, nc), rfv);
  }
 
private:
  FloatMatrix tinverse (MatrixType& mattype, octave_idx_type& info,
                        float& rcon, bool force, bool calc_cond) const;
 
  FloatMatrix finverse (MatrixType& mattype, octave_idx_type& info,
                        float& rcon, bool force, bool calc_cond) const;
 
public:
  FloatMatrix inverse (void) const;
  FloatMatrix inverse (octave_idx_type& info) const;
  FloatMatrix inverse (octave_idx_type& info, float& rcon, bool force = false,
                       bool calc_cond = true) const;
 
  FloatMatrix inverse (MatrixType& mattype) const;
  FloatMatrix inverse (MatrixType& mattype, octave_idx_type& info) const;
  FloatMatrix inverse (MatrixType& mattype, octave_idx_type& info, float& rcon,
                       bool force = false, bool calc_cond = true) const;
 
  FloatMatrix pseudo_inverse (float tol = 0.0) const;
 
  FloatComplexMatrix fourier (void) const;
  FloatComplexMatrix ifourier (void) const;
 
  FloatComplexMatrix fourier2d (void) const;
  FloatComplexMatrix ifourier2d (void) const;
 
  FloatDET determinant (void) const;
  FloatDET determinant (octave_idx_type& info) const;
  FloatDET determinant (octave_idx_type& info, float& rcon,
                        bool calc_cond = true) const;
  FloatDET determinant (MatrixType& mattype, octave_idx_type& info,
                        float& rcon, bool calc_cond = true) const;
 
  float rcond (void) const;
  float rcond (MatrixType& mattype) const;
 
private:
  // Upper triangular matrix solvers
  FloatMatrix utsolve (MatrixType& mattype, const FloatMatrix& b,
                       octave_idx_type& info,
                       float& rcon, solve_singularity_handler sing_handler,
                       bool calc_cond = false,
                       blas_trans_type transt = blas_no_trans) const;
 
  // Lower triangular matrix solvers
  FloatMatrix ltsolve (MatrixType& mattype, const FloatMatrix& b,
                       octave_idx_type& info,
                       float& rcon, solve_singularity_handler sing_handler,
                       bool calc_cond = false,
                       blas_trans_type transt = blas_no_trans) const;
 
  // Full matrix solvers (lu/cholesky)
  FloatMatrix fsolve (MatrixType& mattype, const FloatMatrix& b,
                      octave_idx_type& info,
                      float& rcon, solve_singularity_handler sing_handler,
                      bool calc_cond = false) const;
 
public:
  // Generic interface to solver with no probing of type
  FloatMatrix solve (MatrixType& mattype, const FloatMatrix& b) const;
  FloatMatrix solve (MatrixType& mattype, const FloatMatrix& b,
                     octave_idx_type& info) const;
  FloatMatrix solve (MatrixType& mattype, const FloatMatrix& b,
                     octave_idx_type& info, float& rcon) const;
  FloatMatrix solve (MatrixType& mattype, const FloatMatrix& b,
                     octave_idx_type& info, float& rcon,
                     solve_singularity_handler sing_handler,
                     bool singular_fallback = true,
                     blas_trans_type transt = blas_no_trans) const;
 
  FloatComplexMatrix solve (MatrixType& mattype,
                            const FloatComplexMatrix& b) const;
  FloatComplexMatrix solve (MatrixType& mattype, const FloatComplexMatrix& b,
                            octave_idx_type& info) const;
  FloatComplexMatrix solve (MatrixType& mattype, const FloatComplexMatrix& b,
                            octave_idx_type& info, float& rcon) const;
  FloatComplexMatrix solve (MatrixType& mattype, const FloatComplexMatrix& b,
                            octave_idx_type& info, float& rcon,
                            solve_singularity_handler sing_handler,
                            bool singular_fallback = true,
                            blas_trans_type transt = blas_no_trans) const;
 
  FloatColumnVector solve (MatrixType& mattype, const FloatColumnVector& b) const;
  FloatColumnVector solve (MatrixType& mattype, const FloatColumnVector& b,
                           octave_idx_type& info) const;
  FloatColumnVector solve (MatrixType& mattype, const FloatColumnVector& b,
                           octave_idx_type& info, float& rcon) const;
  FloatColumnVector solve (MatrixType& mattype, const FloatColumnVector& b,
                           octave_idx_type& info, float& rcon,
                           solve_singularity_handler sing_handler,
                           blas_trans_type transt = blas_no_trans) const;
 
  FloatComplexColumnVector solve (MatrixType& mattype,
                                  const FloatComplexColumnVector& b) const;
  FloatComplexColumnVector solve (MatrixType& mattype,
                                  const FloatComplexColumnVector& b,
                                  octave_idx_type& info) const;
  FloatComplexColumnVector solve (MatrixType& mattype,
                                  const FloatComplexColumnVector& b,
                                  octave_idx_type& info, float& rcon) const;
  FloatComplexColumnVector solve (MatrixType& mattype,
                                  const FloatComplexColumnVector& b,
                                  octave_idx_type& info, float& rcon,
                                  solve_singularity_handler sing_handler,
                                  blas_trans_type transt = blas_no_trans) const;
 
  // Generic interface to solver with probing of type
  FloatMatrix solve (const FloatMatrix& b) const;
  FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info) const;
  FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info,
                     float& rcon) const;
  FloatMatrix solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
                     solve_singularity_handler sing_handler,
                     blas_trans_type transt = blas_no_trans) const;
 
  FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
  FloatComplexMatrix solve (const FloatComplexMatrix& b,
                            octave_idx_type& info) const;
  FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
                            float& rcon) const;
  FloatComplexMatrix solve (const FloatComplexMatrix& b, octave_idx_type& info,
                            float& rcon,
                            solve_singularity_handler sing_handler,
                            blas_trans_type transt = blas_no_trans) const;
 
  FloatColumnVector solve (const FloatColumnVector& b) const;
  FloatColumnVector solve (const FloatColumnVector& b,
                           octave_idx_type& info) const;
  FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
                           float& rcon) const;
  FloatColumnVector solve (const FloatColumnVector& b, octave_idx_type& info,
                           float& rcon,
                           solve_singularity_handler sing_handler,
                           blas_trans_type transt = blas_no_trans) const;
 
  FloatComplexColumnVector solve (const FloatComplexColumnVector& b) const;
  FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
                                  octave_idx_type& info) const;
  FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
                                  octave_idx_type& info,
                                  float& rcon) const;
  FloatComplexColumnVector solve (const FloatComplexColumnVector& b,
                                  octave_idx_type& info,
                                  float& rcon,
                                  solve_singularity_handler sing_handler,
                                  blas_trans_type transt = blas_no_trans) const;
 
  // Singular solvers
  FloatMatrix lssolve (const FloatMatrix& b) const;
  FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info) const;
  FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
                       octave_idx_type& rank) const;
  FloatMatrix lssolve (const FloatMatrix& b, octave_idx_type& info,
                       octave_idx_type& rank, float& rcon) const;
 
  FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
  FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
                              octave_idx_type& info) const;
  FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
                              octave_idx_type& info,
                              octave_idx_type& rank) const;
  FloatComplexMatrix lssolve (const FloatComplexMatrix& b,
                              octave_idx_type& info, octave_idx_type& rank,
                              float& rcon) const;
 
  FloatColumnVector lssolve (const FloatColumnVector& b) const;
  FloatColumnVector lssolve (const FloatColumnVector& b,
                             octave_idx_type& info) const;
  FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
                             octave_idx_type& rank) const;
  FloatColumnVector lssolve (const FloatColumnVector& b, octave_idx_type& info,
                             octave_idx_type& rank, float& rcon) const;
 
  FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b) const;
  FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
                                    octave_idx_type& info) const;
  FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
                                    octave_idx_type& info,
                                    octave_idx_type& rank) const;
  FloatComplexColumnVector lssolve (const FloatComplexColumnVector& b,
                                    octave_idx_type& info,
                                    octave_idx_type& rank, float& rcon) const;
 
  FloatMatrix& operator += (const FloatDiagMatrix& a);
  FloatMatrix& operator -= (const FloatDiagMatrix& a);
 
  FloatMatrix cumprod (int dim = -1) const;
  FloatMatrix cumsum (int dim = -1) const;
  FloatMatrix prod (int dim = -1) const;
  FloatMatrix sum (int dim = -1) const;
  FloatMatrix sumsq (int dim = -1) const;
  FloatMatrix abs (void) const;
 
  FloatMatrix diag (octave_idx_type k = 0) const;
 
  FloatDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;
 
  FloatColumnVector row_min (void) const;
  FloatColumnVector row_max (void) const;
 
  FloatColumnVector row_min (Array<octave_idx_type>& index) const;
  FloatColumnVector row_max (Array<octave_idx_type>& index) const;
 
  FloatRowVector column_min (void) const;
  FloatRowVector column_max (void) const;
 
  FloatRowVector column_min (Array<octave_idx_type>& index) const;
  FloatRowVector column_max (Array<octave_idx_type>& index) const;
 
  // i/o
 
  friend OCTAVE_API std::ostream& operator << (std::ostream& os,
                                               const FloatMatrix& a);
  friend OCTAVE_API std::istream& operator >> (std::istream& is,
                                               FloatMatrix& a);
};
 
// Publish externally used friend functions.
 
extern OCTAVE_API FloatMatrix real (const FloatComplexMatrix& a);
extern OCTAVE_API FloatMatrix imag (const FloatComplexMatrix& a);
 
// column vector by row vector -> matrix operations
 
extern OCTAVE_API FloatMatrix operator * (const FloatColumnVector& a,
                                          const FloatRowVector& b);
 
// Other functions.
 
extern OCTAVE_API FloatMatrix Givens (float, float);
 
extern OCTAVE_API FloatMatrix Sylvester (const FloatMatrix&, const FloatMatrix&,
                                         const FloatMatrix&);
 
extern OCTAVE_API FloatMatrix xgemm (const FloatMatrix& a, const FloatMatrix& b,
                                     blas_trans_type transa = blas_no_trans,
                                     blas_trans_type transb = blas_no_trans);
 
extern OCTAVE_API FloatMatrix operator * (const FloatMatrix& a,
                                          const FloatMatrix& b);
 
extern OCTAVE_API FloatMatrix min (float d, const FloatMatrix& m);
extern OCTAVE_API FloatMatrix min (const FloatMatrix& m, float d);
extern OCTAVE_API FloatMatrix min (const FloatMatrix& a, const FloatMatrix& b);
 
extern OCTAVE_API FloatMatrix max (float d, const FloatMatrix& m);
extern OCTAVE_API FloatMatrix max (const FloatMatrix& m, float d);
extern OCTAVE_API FloatMatrix max (const FloatMatrix& a, const FloatMatrix& b);
 
extern OCTAVE_API FloatMatrix linspace (const FloatColumnVector& x1,
                                        const FloatColumnVector& x2,
                                        octave_idx_type n);
 
MS_CMP_OP_DECLS (FloatMatrix, float, OCTAVE_API)
MS_BOOL_OP_DECLS (FloatMatrix, float, OCTAVE_API)
 
SM_CMP_OP_DECLS (float, FloatMatrix, OCTAVE_API)
SM_BOOL_OP_DECLS (float, FloatMatrix, OCTAVE_API)
 
MM_CMP_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
MM_BOOL_OP_DECLS (FloatMatrix, FloatMatrix, OCTAVE_API)
 
MARRAY_FORWARD_DEFS (MArray, FloatMatrix, float)
 
template <typename T>
void read_int (std::istream& is, bool swap_bytes, T& val);
 
#endif