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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 1994-2025 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.
//
// 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
// <https://www.gnu.org/licenses/>.
//
////////////////////////////////////////////////////////////////////////
#if ! defined (octave_fCMatrix_h)
#define octave_fCMatrix_h 1
#include "octave-config.h"
#include "DET.h"
#include "MArray.h"
#include "MDiagArray2.h"
#include "MatrixType.h"
#include "fCNDArray.h"
#include "mx-defs.h"
#include "mx-op-decl.h"
#include "oct-cmplx.h"
class OCTAVE_API FloatComplexMatrix : public FloatComplexNDArray
{
public:
typedef FloatComplexColumnVector column_vector_type;
typedef FloatComplexRowVector 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);
FloatComplexMatrix () = default;
FloatComplexMatrix (const FloatComplexMatrix& a) = default;
FloatComplexMatrix& operator = (const FloatComplexMatrix& a) = default;
~FloatComplexMatrix () = default;
FloatComplexMatrix (octave_idx_type r, octave_idx_type c)
: FloatComplexNDArray (dim_vector (r, c)) { }
FloatComplexMatrix (octave_idx_type r, octave_idx_type c,
const FloatComplex& val)
: FloatComplexNDArray (dim_vector (r, c), val) { }
FloatComplexMatrix (const dim_vector& dv)
: FloatComplexNDArray (dv.redim (2)) { }
FloatComplexMatrix (const dim_vector& dv, const FloatComplex& val)
: FloatComplexNDArray (dv.redim (2), val) { }
template <typename U>
FloatComplexMatrix (const MArray<U>& a)
: FloatComplexNDArray (a.as_matrix ()) { }
template <typename U>
FloatComplexMatrix (const Array<U>& a)
: FloatComplexNDArray (a.as_matrix ()) { }
explicit OCTAVE_API FloatComplexMatrix (const FloatMatrix& a);
explicit OCTAVE_API FloatComplexMatrix (const FloatRowVector& rv);
explicit OCTAVE_API FloatComplexMatrix (const FloatColumnVector& cv);
explicit OCTAVE_API FloatComplexMatrix (const FloatDiagMatrix& a);
explicit OCTAVE_API FloatComplexMatrix (const MDiagArray2<float>& a);
explicit OCTAVE_API FloatComplexMatrix (const DiagArray2<float>& a);
explicit OCTAVE_API FloatComplexMatrix (const FloatComplexRowVector& rv);
explicit OCTAVE_API FloatComplexMatrix (const FloatComplexColumnVector& cv);
explicit OCTAVE_API FloatComplexMatrix (const FloatComplexDiagMatrix& a);
explicit OCTAVE_API FloatComplexMatrix (const MDiagArray2<FloatComplex>& a);
explicit OCTAVE_API FloatComplexMatrix (const DiagArray2<FloatComplex>& a);
explicit OCTAVE_API FloatComplexMatrix (const boolMatrix& a);
explicit OCTAVE_API FloatComplexMatrix (const charMatrix& a);
OCTAVE_API FloatComplexMatrix (const FloatMatrix& re, const FloatMatrix& im);
OCTAVE_API bool operator == (const FloatComplexMatrix& a) const;
OCTAVE_API bool operator != (const FloatComplexMatrix& a) const;
OCTAVE_API bool ishermitian () const;
// destructive insert/delete/reorder operations
OCTAVE_API FloatComplexMatrix&
insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatComplexRowVector& a, octave_idx_type r,
octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatComplexColumnVector& a, octave_idx_type r,
octave_idx_type c);
OCTAVE_API FloatComplexMatrix&
insert (const FloatComplexDiagMatrix& a, octave_idx_type r,
octave_idx_type c);
OCTAVE_API FloatComplexMatrix& fill (float val);
OCTAVE_API FloatComplexMatrix& fill (const FloatComplex& val);
OCTAVE_API FloatComplexMatrix&
fill (float val, octave_idx_type r1, octave_idx_type c1,
octave_idx_type r2, octave_idx_type c2);
OCTAVE_API FloatComplexMatrix&
fill (const FloatComplex& val, octave_idx_type r1, octave_idx_type c1,
octave_idx_type r2, octave_idx_type c2);
OCTAVE_API FloatComplexMatrix append (const FloatMatrix& a) const;
OCTAVE_API FloatComplexMatrix append (const FloatRowVector& a) const;
OCTAVE_API FloatComplexMatrix append (const FloatColumnVector& a) const;
OCTAVE_API FloatComplexMatrix append (const FloatDiagMatrix& a) const;
OCTAVE_API FloatComplexMatrix append (const FloatComplexMatrix& a) const;
OCTAVE_API FloatComplexMatrix append (const FloatComplexRowVector& a) const;
OCTAVE_API FloatComplexMatrix
append (const FloatComplexColumnVector& a) const;
OCTAVE_API FloatComplexMatrix append (const FloatComplexDiagMatrix& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatMatrix& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatRowVector& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatColumnVector& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatDiagMatrix& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatComplexMatrix& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatComplexRowVector& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatComplexColumnVector& a) const;
OCTAVE_API FloatComplexMatrix stack (const FloatComplexDiagMatrix& a) const;
FloatComplexMatrix hermitian () const
{ return MArray<FloatComplex>::hermitian (std::conj); }
FloatComplexMatrix transpose () const
{ return MArray<FloatComplex>::transpose (); }
friend OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
// resize is the destructive equivalent for this one
OCTAVE_API FloatComplexMatrix
extract (octave_idx_type r1, octave_idx_type c1,
octave_idx_type r2, octave_idx_type c2) const;
OCTAVE_API FloatComplexMatrix
extract_n (octave_idx_type r1, octave_idx_type c1,
octave_idx_type nr, octave_idx_type nc) const;
// extract row or column i.
OCTAVE_API FloatComplexRowVector row (octave_idx_type i) const;
OCTAVE_API FloatComplexColumnVector column (octave_idx_type i) const;
void resize (octave_idx_type nr, octave_idx_type nc,
const FloatComplex& rfv = FloatComplex (0))
{
MArray<FloatComplex>::resize (dim_vector (nr, nc), rfv);
}
private:
FloatComplexMatrix tinverse (MatrixType& mattype, octave_idx_type& info,
float& rcon, bool force, bool calc_cond) const;
FloatComplexMatrix finverse (MatrixType& mattype, octave_idx_type& info,
float& rcon, bool force, bool calc_cond) const;
public:
OCTAVE_API FloatComplexMatrix inverse () const;
OCTAVE_API FloatComplexMatrix inverse (octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
inverse (octave_idx_type& info, float& rcon,
bool force = false, bool calc_cond = true) const;
OCTAVE_API FloatComplexMatrix inverse (MatrixType& mattype) const;
OCTAVE_API FloatComplexMatrix
inverse (MatrixType& mattype, octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
inverse (MatrixType& mattype, octave_idx_type& info, float& rcon,
bool force = false, bool calc_cond = true) const;
OCTAVE_API FloatComplexMatrix pseudo_inverse (float tol = 0.0) const;
OCTAVE_API FloatComplexMatrix fourier () const;
OCTAVE_API FloatComplexMatrix ifourier () const;
OCTAVE_API FloatComplexMatrix fourier2d () const;
OCTAVE_API FloatComplexMatrix ifourier2d () const;
OCTAVE_API FloatComplexDET determinant () const;
OCTAVE_API FloatComplexDET determinant (octave_idx_type& info) const;
OCTAVE_API FloatComplexDET
determinant (octave_idx_type& info, float& rcon,
bool calc_cond = true) const;
OCTAVE_API FloatComplexDET
determinant (MatrixType& mattype, octave_idx_type& info,
float& rcon, bool calc_cond = true) const;
OCTAVE_API float rcond () const;
OCTAVE_API float rcond (MatrixType& mattype) const;
private:
// Upper triangular matrix solvers
FloatComplexMatrix utsolve (MatrixType& mattype, const FloatComplexMatrix& 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
FloatComplexMatrix ltsolve (MatrixType& mattype, const FloatComplexMatrix& 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 (umfpack/cholesky)
FloatComplexMatrix fsolve (MatrixType& mattype, const FloatComplexMatrix& 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
OCTAVE_API FloatComplexMatrix
solve (MatrixType& mattype, const FloatMatrix& b) const;
OCTAVE_API FloatComplexMatrix
solve (MatrixType& mattype, const FloatMatrix& b,
octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
solve (MatrixType& mattype, const FloatMatrix& b, octave_idx_type& info,
float& rcon) const;
OCTAVE_API FloatComplexMatrix
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;
OCTAVE_API FloatComplexMatrix
solve (MatrixType& mattype, const FloatComplexMatrix& b) const;
OCTAVE_API FloatComplexMatrix
solve (MatrixType& mattype, const FloatComplexMatrix& b,
octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
solve (MatrixType& mattype, const FloatComplexMatrix& b,
octave_idx_type& info, float& rcon) const;
OCTAVE_API 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;
OCTAVE_API FloatComplexColumnVector
solve (MatrixType& mattype, const FloatColumnVector& b) const;
OCTAVE_API FloatComplexColumnVector
solve (MatrixType& mattype, const FloatColumnVector& b,
octave_idx_type& info) const;
OCTAVE_API FloatComplexColumnVector
solve (MatrixType& mattype, const FloatColumnVector& b,
octave_idx_type& info, float& rcon) const;
OCTAVE_API FloatComplexColumnVector
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;
OCTAVE_API FloatComplexColumnVector
solve (MatrixType& mattype, const FloatComplexColumnVector& b) const;
OCTAVE_API FloatComplexColumnVector
solve (MatrixType& mattype, const FloatComplexColumnVector& b,
octave_idx_type& info) const;
OCTAVE_API FloatComplexColumnVector
solve (MatrixType& mattype, const FloatComplexColumnVector& b,
octave_idx_type& info, float& rcon) const;
OCTAVE_API 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
OCTAVE_API FloatComplexMatrix solve (const FloatMatrix& b) const;
OCTAVE_API FloatComplexMatrix
solve (const FloatMatrix& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const;
OCTAVE_API FloatComplexMatrix
solve (const FloatMatrix& b, octave_idx_type& info, float& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API FloatComplexMatrix solve (const FloatComplexMatrix& b) const;
OCTAVE_API FloatComplexMatrix
solve (const FloatComplexMatrix& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
solve (const FloatComplexMatrix& b, octave_idx_type& info,
float& rcon) const;
OCTAVE_API FloatComplexMatrix
solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API FloatComplexColumnVector solve (const FloatColumnVector& b) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatColumnVector& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatColumnVector& b, octave_idx_type& info,
float& rcon) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatColumnVector& b, octave_idx_type& info, float& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatComplexColumnVector& b) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatComplexColumnVector& b, octave_idx_type& info,
float& rcon) const;
OCTAVE_API FloatComplexColumnVector
solve (const FloatComplexColumnVector& b, octave_idx_type& info, float& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API FloatComplexMatrix lssolve (const FloatMatrix& b) const;
OCTAVE_API FloatComplexMatrix
lssolve (const FloatMatrix& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
lssolve (const FloatMatrix& b, octave_idx_type& info, octave_idx_type& rank) const;
OCTAVE_API FloatComplexMatrix
lssolve (const FloatMatrix& b, octave_idx_type& info, octave_idx_type& rank,
float& rcon) const;
OCTAVE_API FloatComplexMatrix lssolve (const FloatComplexMatrix& b) const;
OCTAVE_API FloatComplexMatrix
lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexMatrix
lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API FloatComplexMatrix
lssolve (const FloatComplexMatrix& b, octave_idx_type& info,
octave_idx_type& rank, float& rcon) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatColumnVector& b) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatColumnVector& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatColumnVector& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatColumnVector& b, octave_idx_type& info,
octave_idx_type& rank, float& rcon) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatComplexColumnVector& b) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatComplexColumnVector& b, octave_idx_type& info) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatComplexColumnVector& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API FloatComplexColumnVector
lssolve (const FloatComplexColumnVector& b, octave_idx_type& info,
octave_idx_type& rank, float& rcon) const;
// matrix by diagonal matrix -> matrix operations
OCTAVE_API FloatComplexMatrix& operator += (const FloatDiagMatrix& a);
OCTAVE_API FloatComplexMatrix& operator -= (const FloatDiagMatrix& a);
OCTAVE_API FloatComplexMatrix& operator += (const FloatComplexDiagMatrix& a);
OCTAVE_API FloatComplexMatrix& operator -= (const FloatComplexDiagMatrix& a);
// matrix by matrix -> matrix operations
OCTAVE_API FloatComplexMatrix& operator += (const FloatMatrix& a);
OCTAVE_API FloatComplexMatrix& operator -= (const FloatMatrix& a);
// unary operations
OCTAVE_API boolMatrix operator ! () const;
// other operations
OCTAVE_API boolMatrix all (int dim = -1) const;
OCTAVE_API boolMatrix any (int dim = -1) const;
OCTAVE_API FloatComplexMatrix cumprod (int dim = -1) const;
OCTAVE_API FloatComplexMatrix cumsum (int dim = -1) const;
OCTAVE_API FloatComplexMatrix prod (int dim = -1) const;
OCTAVE_API FloatComplexMatrix sum (int dim = -1) const;
OCTAVE_API FloatComplexMatrix sumsq (int dim = -1) const;
OCTAVE_API FloatMatrix abs () const;
OCTAVE_API FloatComplexMatrix diag (octave_idx_type k = 0) const;
OCTAVE_API FloatComplexDiagMatrix
diag (octave_idx_type m, octave_idx_type n) const;
OCTAVE_API bool row_is_real_only (octave_idx_type) const;
OCTAVE_API bool column_is_real_only (octave_idx_type) const;
OCTAVE_API FloatComplexColumnVector row_min () const;
OCTAVE_API FloatComplexColumnVector row_max () const;
OCTAVE_API FloatComplexColumnVector
row_min (Array<octave_idx_type>& index) const;
OCTAVE_API FloatComplexColumnVector
row_max (Array<octave_idx_type>& index) const;
OCTAVE_API FloatComplexRowVector column_min () const;
OCTAVE_API FloatComplexRowVector column_max () const;
OCTAVE_API FloatComplexRowVector
column_min (Array<octave_idx_type>& index) const;
OCTAVE_API FloatComplexRowVector
column_max (Array<octave_idx_type>& index) const;
// i/o
friend OCTAVE_API std::ostream&
operator << (std::ostream& os, const FloatComplexMatrix& a);
friend OCTAVE_API std::istream&
operator >> (std::istream& is, FloatComplexMatrix& a);
};
extern OCTAVE_API FloatComplexMatrix conj (const FloatComplexMatrix& a);
// column vector by row vector -> matrix operations
extern OCTAVE_API FloatComplexMatrix
operator * (const FloatColumnVector& a, const FloatComplexRowVector& b);
extern OCTAVE_API FloatComplexMatrix
operator * (const FloatComplexColumnVector& a, const FloatRowVector& b);
extern OCTAVE_API FloatComplexMatrix
operator * (const FloatComplexColumnVector& a, const FloatComplexRowVector& b);
extern OCTAVE_API FloatComplexMatrix
Givens (const FloatComplex&, const FloatComplex&);
extern OCTAVE_API FloatComplexMatrix
Sylvester (const FloatComplexMatrix&, const FloatComplexMatrix&,
const FloatComplexMatrix&);
extern OCTAVE_API FloatComplexMatrix
xgemm (const FloatComplexMatrix& a, const FloatComplexMatrix& b,
blas_trans_type transa = blas_no_trans,
blas_trans_type transb = blas_no_trans);
extern OCTAVE_API FloatComplexMatrix operator * (const FloatMatrix&,
const FloatComplexMatrix&);
extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&,
const FloatMatrix&);
extern OCTAVE_API FloatComplexMatrix operator * (const FloatComplexMatrix&,
const FloatComplexMatrix&);
extern OCTAVE_API FloatComplexMatrix min (const FloatComplex& c,
const FloatComplexMatrix& m);
extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& m,
const FloatComplex& c);
extern OCTAVE_API FloatComplexMatrix min (const FloatComplexMatrix& a,
const FloatComplexMatrix& b);
extern OCTAVE_API FloatComplexMatrix max (const FloatComplex& c,
const FloatComplexMatrix& m);
extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& m,
const FloatComplex& c);
extern OCTAVE_API FloatComplexMatrix max (const FloatComplexMatrix& a,
const FloatComplexMatrix& b);
extern OCTAVE_API FloatComplexMatrix
linspace (const FloatComplexColumnVector& x1,
const FloatComplexColumnVector& x2,
octave_idx_type n);
MS_CMP_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
MS_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplex, OCTAVE_API)
SM_CMP_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
SM_BOOL_OP_DECLS (FloatComplex, FloatComplexMatrix, OCTAVE_API)
MM_CMP_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
MM_BOOL_OP_DECLS (FloatComplexMatrix, FloatComplexMatrix, OCTAVE_API)
MARRAY_FORWARD_DEFS (MArray, FloatComplexMatrix, FloatComplex)
#endif
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