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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_CMatrix_h)
#define octave_CMatrix_h 1
#include "octave-config.h"
#include "CNDArray.h"
#include "DET.h"
#include "MArray.h"
#include "MDiagArray2.h"
#include "MatrixType.h"
#include "mx-defs.h"
#include "mx-op-decl.h"
#include "oct-cmplx.h"
class OCTAVE_API ComplexMatrix : public ComplexNDArray
{
public:
typedef ComplexColumnVector column_vector_type;
typedef ComplexRowVector row_vector_type;
typedef ColumnVector real_column_vector_type;
typedef RowVector real_row_vector_type;
typedef Matrix real_matrix_type;
typedef ComplexMatrix complex_matrix_type;
typedef DiagMatrix real_diag_matrix_type;
typedef ComplexDiagMatrix complex_diag_matrix_type;
typedef double real_elt_type;
typedef Complex complex_elt_type;
typedef void (*solve_singularity_handler) (double rcon);
ComplexMatrix () = default;
ComplexMatrix (const ComplexMatrix& a) = default;
ComplexMatrix& operator = (const ComplexMatrix& a) = default;
~ComplexMatrix () = default;
ComplexMatrix (octave_idx_type r, octave_idx_type c)
: ComplexNDArray (dim_vector (r, c)) { }
ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
: ComplexNDArray (dim_vector (r, c), val) { }
ComplexMatrix (const dim_vector& dv) : ComplexNDArray (dv.redim (2)) { }
ComplexMatrix (const dim_vector& dv, const Complex& val)
: ComplexNDArray (dv.redim (2), val) { }
template <typename U>
ComplexMatrix (const MArray<U>& a) : ComplexNDArray (a.as_matrix ()) { }
template <typename U>
ComplexMatrix (const Array<U>& a) : ComplexNDArray (a.as_matrix ()) { }
OCTAVE_API ComplexMatrix (const Matrix& re, const Matrix& im);
explicit OCTAVE_API ComplexMatrix (const Matrix& a);
explicit OCTAVE_API ComplexMatrix (const RowVector& rv);
explicit OCTAVE_API ComplexMatrix (const ColumnVector& cv);
explicit OCTAVE_API ComplexMatrix (const DiagMatrix& a);
explicit OCTAVE_API ComplexMatrix (const MDiagArray2<double>& a);
explicit OCTAVE_API ComplexMatrix (const DiagArray2<double>& a);
explicit OCTAVE_API ComplexMatrix (const ComplexRowVector& rv);
explicit OCTAVE_API ComplexMatrix (const ComplexColumnVector& cv);
explicit OCTAVE_API ComplexMatrix (const ComplexDiagMatrix& a);
explicit OCTAVE_API ComplexMatrix (const MDiagArray2<Complex>& a);
explicit OCTAVE_API ComplexMatrix (const DiagArray2<Complex>& a);
explicit OCTAVE_API ComplexMatrix (const boolMatrix& a);
explicit OCTAVE_API ComplexMatrix (const charMatrix& a);
OCTAVE_API bool operator == (const ComplexMatrix& a) const;
OCTAVE_API bool operator != (const ComplexMatrix& a) const;
OCTAVE_API bool ishermitian () const;
// destructive insert/delete/reorder operations
OCTAVE_API ComplexMatrix&
insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix&
insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
OCTAVE_API ComplexMatrix& fill (double val);
OCTAVE_API ComplexMatrix& fill (const Complex& val);
OCTAVE_API ComplexMatrix&
fill (double val, octave_idx_type r1, octave_idx_type c1,
octave_idx_type r2, octave_idx_type c2);
OCTAVE_API ComplexMatrix&
fill (const Complex& val, octave_idx_type r1, octave_idx_type c1,
octave_idx_type r2, octave_idx_type c2);
OCTAVE_API ComplexMatrix append (const Matrix& a) const;
OCTAVE_API ComplexMatrix append (const RowVector& a) const;
OCTAVE_API ComplexMatrix append (const ColumnVector& a) const;
OCTAVE_API ComplexMatrix append (const DiagMatrix& a) const;
OCTAVE_API ComplexMatrix append (const ComplexMatrix& a) const;
OCTAVE_API ComplexMatrix append (const ComplexRowVector& a) const;
OCTAVE_API ComplexMatrix append (const ComplexColumnVector& a) const;
OCTAVE_API ComplexMatrix append (const ComplexDiagMatrix& a) const;
OCTAVE_API ComplexMatrix stack (const Matrix& a) const;
OCTAVE_API ComplexMatrix stack (const RowVector& a) const;
OCTAVE_API ComplexMatrix stack (const ColumnVector& a) const;
OCTAVE_API ComplexMatrix stack (const DiagMatrix& a) const;
OCTAVE_API ComplexMatrix stack (const ComplexMatrix& a) const;
OCTAVE_API ComplexMatrix stack (const ComplexRowVector& a) const;
OCTAVE_API ComplexMatrix stack (const ComplexColumnVector& a) const;
OCTAVE_API ComplexMatrix stack (const ComplexDiagMatrix& a) const;
ComplexMatrix hermitian () const
{ return MArray<Complex>::hermitian (std::conj); }
ComplexMatrix transpose () const
{ return MArray<Complex>::transpose (); }
friend OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
// resize is the destructive equivalent for this one
OCTAVE_API ComplexMatrix
extract (octave_idx_type r1, octave_idx_type c1,
octave_idx_type r2, octave_idx_type c2) const;
OCTAVE_API ComplexMatrix
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 ComplexRowVector row (octave_idx_type i) const;
OCTAVE_API ComplexColumnVector column (octave_idx_type i) const;
void resize (octave_idx_type nr, octave_idx_type nc,
const Complex& rfv = Complex (0))
{
MArray<Complex>::resize (dim_vector (nr, nc), rfv);
}
private:
ComplexMatrix tinverse (MatrixType& mattype, octave_idx_type& info,
double& rcon, bool force, bool calc_cond) const;
ComplexMatrix finverse (MatrixType& mattype, octave_idx_type& info,
double& rcon, bool force, bool calc_cond) const;
public:
OCTAVE_API ComplexMatrix inverse () const;
OCTAVE_API ComplexMatrix inverse (octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
inverse (octave_idx_type& info, double& rcon,
bool force = false, bool calc_cond = true) const;
OCTAVE_API ComplexMatrix inverse (MatrixType& mattype) const;
OCTAVE_API ComplexMatrix
inverse (MatrixType& mattype, octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
inverse (MatrixType& mattype, octave_idx_type& info, double& rcon,
bool force = false, bool calc_cond = true) const;
OCTAVE_API ComplexMatrix pseudo_inverse (double tol = 0.0) const;
OCTAVE_API ComplexMatrix fourier () const;
OCTAVE_API ComplexMatrix ifourier () const;
OCTAVE_API ComplexMatrix fourier2d () const;
OCTAVE_API ComplexMatrix ifourier2d () const;
OCTAVE_API ComplexDET determinant () const;
OCTAVE_API ComplexDET determinant (octave_idx_type& info) const;
OCTAVE_API ComplexDET
determinant (octave_idx_type& info, double& rcon,
bool calc_cond = true) const;
OCTAVE_API ComplexDET
determinant (MatrixType& mattype, octave_idx_type& info, double& rcon,
bool calc_cond = true) const;
OCTAVE_API double rcond () const;
OCTAVE_API double rcond (MatrixType& mattype) const;
private:
// Upper triangular matrix solvers
ComplexMatrix utsolve (MatrixType& mattype, const ComplexMatrix& b,
octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
bool calc_cond = false,
blas_trans_type transt = blas_no_trans) const;
// Lower triangular matrix solvers
ComplexMatrix ltsolve (MatrixType& mattype, const ComplexMatrix& b,
octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
bool calc_cond = false,
blas_trans_type transt = blas_no_trans) const;
// Full matrix solvers (umfpack/cholesky)
ComplexMatrix fsolve (MatrixType& mattype, const ComplexMatrix& b,
octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
bool calc_cond = false) const;
public:
// Generic interface to solver with no probing of type
OCTAVE_API ComplexMatrix solve (MatrixType& mattype, const Matrix& b) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const Matrix& b, octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const Matrix& b, octave_idx_type& info,
double& rcon) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const Matrix& b, octave_idx_type& info,
double& rcon, solve_singularity_handler sing_handler,
bool singular_fallback = true,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const ComplexMatrix& b) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const ComplexMatrix& b,
octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const ComplexMatrix& b, octave_idx_type& info,
double& rcon) const;
OCTAVE_API ComplexMatrix
solve (MatrixType& mattype, const ComplexMatrix& b, octave_idx_type& info,
double& rcon, solve_singularity_handler sing_handler,
bool singular_fallback = true,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ColumnVector& b) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ColumnVector& b,
octave_idx_type& info) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ColumnVector& b,
octave_idx_type& info, double& rcon) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ColumnVector& b, octave_idx_type& info,
double& rcon, solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ComplexColumnVector& b) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ComplexColumnVector& b,
octave_idx_type& info) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ComplexColumnVector& b,
octave_idx_type& info, double& rcon) const;
OCTAVE_API ComplexColumnVector
solve (MatrixType& mattype, const ComplexColumnVector& b,
octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
// Generic interface to solver with probing of type
OCTAVE_API ComplexMatrix solve (const Matrix& b) const;
OCTAVE_API ComplexMatrix
solve (const Matrix& b, octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
OCTAVE_API ComplexMatrix
solve (const Matrix& b, octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexMatrix solve (const ComplexMatrix& b) const;
OCTAVE_API ComplexMatrix
solve (const ComplexMatrix& b, octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const;
OCTAVE_API ComplexMatrix
solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexColumnVector solve (const ColumnVector& b) const;
OCTAVE_API ComplexColumnVector
solve (const ColumnVector& b, octave_idx_type& info) const;
OCTAVE_API ComplexColumnVector
solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const;
OCTAVE_API ComplexColumnVector
solve (const ColumnVector& b, octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexColumnVector solve (const ComplexColumnVector& b) const;
OCTAVE_API ComplexColumnVector
solve (const ComplexColumnVector& b, octave_idx_type& info) const;
OCTAVE_API ComplexColumnVector
solve (const ComplexColumnVector& b, octave_idx_type& info,
double& rcon) const;
OCTAVE_API ComplexColumnVector
solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon,
solve_singularity_handler sing_handler,
blas_trans_type transt = blas_no_trans) const;
OCTAVE_API ComplexMatrix lssolve (const Matrix& b) const;
OCTAVE_API ComplexMatrix
lssolve (const Matrix& b, octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
lssolve (const Matrix& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API ComplexMatrix
lssolve (const Matrix& b, octave_idx_type& info,
octave_idx_type& rank, double& rcon) const;
OCTAVE_API ComplexMatrix lssolve (const ComplexMatrix& b) const;
OCTAVE_API ComplexMatrix
lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
OCTAVE_API ComplexMatrix
lssolve (const ComplexMatrix& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API ComplexMatrix
lssolve (const ComplexMatrix& b, octave_idx_type& info,
octave_idx_type& rank, double& rcon) const;
OCTAVE_API ComplexColumnVector lssolve (const ColumnVector& b) const;
OCTAVE_API ComplexColumnVector
lssolve (const ColumnVector& b, octave_idx_type& info) const;
OCTAVE_API ComplexColumnVector
lssolve (const ColumnVector& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API ComplexColumnVector
lssolve (const ColumnVector& b, octave_idx_type& info,
octave_idx_type& rank, double& rcon) const;
OCTAVE_API ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
OCTAVE_API ComplexColumnVector
lssolve (const ComplexColumnVector& b, octave_idx_type& info) const;
OCTAVE_API ComplexColumnVector
lssolve (const ComplexColumnVector& b, octave_idx_type& info,
octave_idx_type& rank) const;
OCTAVE_API ComplexColumnVector
lssolve (const ComplexColumnVector& b, octave_idx_type& info,
octave_idx_type& rank, double& rcon) const;
// matrix by diagonal matrix -> matrix operations
OCTAVE_API ComplexMatrix& operator += (const DiagMatrix& a);
OCTAVE_API ComplexMatrix& operator -= (const DiagMatrix& a);
OCTAVE_API ComplexMatrix& operator += (const ComplexDiagMatrix& a);
OCTAVE_API ComplexMatrix& operator -= (const ComplexDiagMatrix& a);
// matrix by matrix -> matrix operations
OCTAVE_API ComplexMatrix& operator += (const Matrix& a);
OCTAVE_API ComplexMatrix& operator -= (const Matrix& a);
// other operations
OCTAVE_API boolMatrix all (int dim = -1) const;
OCTAVE_API boolMatrix any (int dim = -1) const;
OCTAVE_API ComplexMatrix cumprod (int dim = -1) const;
OCTAVE_API ComplexMatrix cumsum (int dim = -1) const;
OCTAVE_API ComplexMatrix prod (int dim = -1) const;
OCTAVE_API ComplexMatrix sum (int dim = -1) const;
OCTAVE_API ComplexMatrix sumsq (int dim = -1) const;
OCTAVE_API Matrix abs () const;
OCTAVE_API ComplexMatrix diag (octave_idx_type k = 0) const;
OCTAVE_API ComplexDiagMatrix
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 ComplexColumnVector row_min () const;
OCTAVE_API ComplexColumnVector row_max () const;
OCTAVE_API ComplexColumnVector row_min (Array<octave_idx_type>& index) const;
OCTAVE_API ComplexColumnVector row_max (Array<octave_idx_type>& index) const;
OCTAVE_API ComplexRowVector column_min () const;
OCTAVE_API ComplexRowVector column_max () const;
OCTAVE_API ComplexRowVector column_min (Array<octave_idx_type>& index) const;
OCTAVE_API ComplexRowVector column_max (Array<octave_idx_type>& index) const;
// i/o
friend OCTAVE_API std::ostream&
operator << (std::ostream& os, const ComplexMatrix& a);
friend OCTAVE_API std::istream&
operator >> (std::istream& is, ComplexMatrix& a);
};
extern OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
// column vector by row vector -> matrix operations
extern OCTAVE_API ComplexMatrix
operator * (const ColumnVector& a, const ComplexRowVector& b);
extern OCTAVE_API ComplexMatrix
operator * (const ComplexColumnVector& a, const RowVector& b);
extern OCTAVE_API ComplexMatrix
operator * (const ComplexColumnVector& a, const ComplexRowVector& b);
extern OCTAVE_API ComplexMatrix
Givens (const Complex&, const Complex&);
extern OCTAVE_API ComplexMatrix
Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix
xgemm (const ComplexMatrix& a, const ComplexMatrix& b,
blas_trans_type transa = blas_no_trans,
blas_trans_type transb = blas_no_trans);
extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
const Matrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m);
extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c);
extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a,
const ComplexMatrix& b);
extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m);
extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c);
extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a,
const ComplexMatrix& b);
extern OCTAVE_API ComplexMatrix linspace (const ComplexColumnVector& x1,
const ComplexColumnVector& x2,
octave_idx_type n);
MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
MARRAY_FORWARD_DEFS (MArray, ComplexMatrix, Complex)
#endif
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