CDiagMatrix.h

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// Copyright (C) 1994-2023 The Octave Project Developers
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#if ! defined (octave_CDiagMatrix_h)
#define octave_CDiagMatrix_h 1
 
#include "octave-config.h"
 
#include "CColVector.h"
#include "CRowVector.h"
#include "DET.h"
#include "MDiagArray2.h"
#include "dColVector.h"
#include "dRowVector.h"
#include "mx-defs.h"
 
class
OCTAVE_API
ComplexDiagMatrix : public MDiagArray2<Complex>
{
public:
 
  typedef ComplexMatrix full_matrix_type;
 
  typedef double real_elt_type;
  typedef Complex complex_elt_type;
  typedef Complex element_type;
 
  ComplexDiagMatrix (void) = default;
 
  ComplexDiagMatrix (const ComplexDiagMatrix& a) = default;
 
  ComplexDiagMatrix& operator = (const ComplexDiagMatrix& a) = default;
 
  ~ComplexDiagMatrix (void) = default;
 
  ComplexDiagMatrix (octave_idx_type r, octave_idx_type c)
    : MDiagArray2<Complex> (r, c) { }
 
  ComplexDiagMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
    : MDiagArray2<Complex> (r, c, val) { }
 
  explicit ComplexDiagMatrix (const Array<Complex>& a)
    : MDiagArray2<Complex> (a) { }
 
  explicit ComplexDiagMatrix (const Array<double>& a)
    : MDiagArray2<Complex> (Array<Complex> (a)) { }
 
  ComplexDiagMatrix (const Array<Complex>& a, octave_idx_type r,
                     octave_idx_type c)
    : MDiagArray2<Complex> (a, r, c) { }
 
  explicit OCTAVE_API ComplexDiagMatrix (const DiagMatrix& a);
 
  ComplexDiagMatrix (const MDiagArray2<Complex>& a)
    : MDiagArray2<Complex> (a) { }
 
  template <typename U>
  ComplexDiagMatrix (const DiagArray2<U>& a)
    : MDiagArray2<Complex> (a) { }
 
  OCTAVE_API bool operator == (const ComplexDiagMatrix& a) const;
  OCTAVE_API bool operator != (const ComplexDiagMatrix& a) const;
 
  OCTAVE_API ComplexDiagMatrix& fill (double val);
  OCTAVE_API ComplexDiagMatrix& fill (const Complex& val);
  OCTAVE_API ComplexDiagMatrix&
  fill (double val, octave_idx_type beg, octave_idx_type end);
  OCTAVE_API ComplexDiagMatrix&
  fill (const Complex& val, octave_idx_type beg, octave_idx_type end);
  OCTAVE_API ComplexDiagMatrix& fill (const ColumnVector& a);
  OCTAVE_API ComplexDiagMatrix& fill (const ComplexColumnVector& a);
  OCTAVE_API ComplexDiagMatrix& fill (const RowVector& a);
  OCTAVE_API ComplexDiagMatrix& fill (const ComplexRowVector& a);
  OCTAVE_API ComplexDiagMatrix&
  fill (const ColumnVector& a, octave_idx_type beg);
  OCTAVE_API ComplexDiagMatrix&
  fill (const ComplexColumnVector& a, octave_idx_type beg);
  OCTAVE_API ComplexDiagMatrix& fill (const RowVector& a, octave_idx_type beg);
  OCTAVE_API ComplexDiagMatrix&
  fill (const ComplexRowVector& a, octave_idx_type beg);
 
  ComplexDiagMatrix hermitian (void) const
  { return MDiagArray2<Complex>::hermitian (std::conj); }
  ComplexDiagMatrix transpose (void) const
  { return MDiagArray2<Complex>::transpose (); }
  DiagMatrix abs (void) const;
 
  friend OCTAVE_API ComplexDiagMatrix conj (const ComplexDiagMatrix& a);
 
  // resize is the destructive analog for this one
 
  OCTAVE_API ComplexMatrix
  extract (octave_idx_type r1, octave_idx_type c1,
           octave_idx_type r2, octave_idx_type c2) const;
 
  // extract row or column i
 
  OCTAVE_API ComplexRowVector row (octave_idx_type i) const;
  OCTAVE_API ComplexRowVector row (char *s) const;
 
  OCTAVE_API ComplexColumnVector column (octave_idx_type i) const;
  OCTAVE_API ComplexColumnVector column (char *s) const;
 
  OCTAVE_API ComplexDiagMatrix inverse (octave_idx_type& info) const;
  OCTAVE_API ComplexDiagMatrix inverse (void) const;
  OCTAVE_API ComplexDiagMatrix pseudo_inverse (double tol = 0.0) const;
 
  OCTAVE_API bool all_elements_are_real (void) const;
 
  // diagonal matrix by diagonal matrix -> diagonal matrix operations
 
  OCTAVE_API ComplexDiagMatrix& operator += (const DiagMatrix& a);
  OCTAVE_API ComplexDiagMatrix& operator -= (const DiagMatrix& a);
 
  // other operations
 
  ComplexColumnVector extract_diag (octave_idx_type k = 0) const
  { return MDiagArray2<Complex>::extract_diag (k); }
 
  OCTAVE_API ComplexDET determinant (void) const;
  OCTAVE_API double rcond (void) const;
 
  // i/o
 
  friend OCTAVE_API std::ostream&
  operator << (std::ostream& os, const ComplexDiagMatrix& a);
 
};
 
OCTAVE_API ComplexDiagMatrix conj (const ComplexDiagMatrix& a);
 
// diagonal matrix by diagonal matrix -> diagonal matrix operations
 
OCTAVE_API ComplexDiagMatrix
operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b);
 
OCTAVE_API ComplexDiagMatrix
operator * (const ComplexDiagMatrix& a, const DiagMatrix& b);
 
OCTAVE_API ComplexDiagMatrix
operator * (const DiagMatrix& a, const ComplexDiagMatrix& b);
 
MDIAGARRAY2_FORWARD_DEFS (MDiagArray2, ComplexDiagMatrix, Complex)
 
#endif