GNU Octave  6.2.0
A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
dDiagMatrix.h
Go to the documentation of this file.
1 ////////////////////////////////////////////////////////////////////////
2 //
3 // Copyright (C) 1994-2021 The Octave Project Developers
4 //
5 // See the file COPYRIGHT.md in the top-level directory of this
6 // distribution or <https://octave.org/copyright/>.
7 //
8 // This file is part of Octave.
9 //
10 // Octave is free software: you can redistribute it and/or modify it
11 // under the terms of the GNU General Public License as published by
12 // the Free Software Foundation, either version 3 of the License, or
13 // (at your option) any later version.
14 //
15 // Octave is distributed in the hope that it will be useful, but
16 // WITHOUT ANY WARRANTY; without even the implied warranty of
17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18 // GNU General Public License for more details.
19 //
20 // You should have received a copy of the GNU General Public License
21 // along with Octave; see the file COPYING. If not, see
22 // <https://www.gnu.org/licenses/>.
23 //
24 ////////////////////////////////////////////////////////////////////////
25 
26 #if ! defined (octave_dDiagMatrix_h)
27 #define octave_dDiagMatrix_h 1
28 
29 #include "octave-config.h"
30 
31 #include "DET.h"
32 #include "MDiagArray2.h"
33 #include "dColVector.h"
34 #include "dRowVector.h"
35 #include "mx-defs.h"
36 
37 class
38 OCTAVE_API
40 {
41 public:
42 
44 
45  DiagMatrix (void) = default;
46 
47  DiagMatrix (const DiagMatrix& a) = default;
48 
49  DiagMatrix& operator = (const DiagMatrix& a) = default;
50 
51  ~DiagMatrix (void) = default;
52 
54  : MDiagArray2<double> (r, c) { }
55 
57  : MDiagArray2<double> (r, c, val) { }
58 
59  DiagMatrix (const MDiagArray2<double>& a) : MDiagArray2<double> (a) { }
60 
61  template <typename U>
62  DiagMatrix (const DiagArray2<U>& a) : MDiagArray2<double> (a) { }
63 
64  explicit DiagMatrix (const Array<double>& a) : MDiagArray2<double> (a) { }
65 
67  : MDiagArray2<double> (a, r, c) { }
68 
69  bool operator == (const DiagMatrix& a) const;
70  bool operator != (const DiagMatrix& a) const;
71 
72  DiagMatrix& fill (double val);
73  DiagMatrix& fill (double val, octave_idx_type beg, octave_idx_type end);
74  DiagMatrix& fill (const ColumnVector& a);
75  DiagMatrix& fill (const RowVector& a);
76  DiagMatrix& fill (const ColumnVector& a, octave_idx_type beg);
77  DiagMatrix& fill (const RowVector& a, octave_idx_type beg);
78 
79  DiagMatrix transpose (void) const
80  { return MDiagArray2<double>::transpose (); }
81  DiagMatrix abs (void) const;
82 
83  friend OCTAVE_API DiagMatrix real (const ComplexDiagMatrix& a);
84  friend OCTAVE_API DiagMatrix imag (const ComplexDiagMatrix& a);
85 
86  // resize is the destructive analog for this one
87 
88  Matrix extract (octave_idx_type r1, octave_idx_type c1,
89  octave_idx_type r2, octave_idx_type c2) const;
90 
91  // extract row or column i.
92 
93  RowVector row (octave_idx_type i) const;
94  RowVector row (char *s) const;
95 
96  ColumnVector column (octave_idx_type i) const;
97  ColumnVector column (char *s) const;
98 
99  DiagMatrix inverse (void) const;
100  DiagMatrix inverse (octave_idx_type& info) const;
101  DiagMatrix pseudo_inverse (double tol = 0.0) const;
102 
103  // other operations
104 
106  { return MDiagArray2<double>::extract_diag (k); }
107 
108  DET determinant (void) const;
109  double rcond (void) const;
110 
111  // i/o
112 
113  friend OCTAVE_API std::ostream& operator << (std::ostream& os,
114  const DiagMatrix& a);
115 
116 };
117 
118 OCTAVE_API DiagMatrix real (const ComplexDiagMatrix& a);
119 OCTAVE_API DiagMatrix imag (const ComplexDiagMatrix& a);
120 
121 // diagonal matrix by diagonal matrix -> diagonal matrix operations
122 
123 OCTAVE_API DiagMatrix
124 operator * (const DiagMatrix& a, const DiagMatrix& b);
125 
127 
128 #endif
template OCTAVE_API std::ostream & operator<<(std::ostream &, const Array< bool > &)
#define MDIAGARRAY2_FORWARD_DEFS(B, R, T)
Definition: MDiagArray2.h:128
Array< T > extract_diag(octave_idx_type k=0) const
Definition: DiagArray2.cc:50
DiagMatrix(void)=default
DiagMatrix transpose(void) const
Definition: dDiagMatrix.h:79
DiagMatrix(octave_idx_type r, octave_idx_type c)
Definition: dDiagMatrix.h:53
DiagMatrix(const Array< double > &a)
Definition: dDiagMatrix.h:64
DiagMatrix(const Array< double > &a, octave_idx_type r, octave_idx_type c)
Definition: dDiagMatrix.h:66
~DiagMatrix(void)=default
DiagMatrix(const MDiagArray2< double > &a)
Definition: dDiagMatrix.h:59
DiagMatrix(const DiagMatrix &a)=default
ColumnVector extract_diag(octave_idx_type k=0) const
Definition: dDiagMatrix.h:105
DiagMatrix(octave_idx_type r, octave_idx_type c, double val)
Definition: dDiagMatrix.h:56
Matrix full_matrix_type
Definition: dDiagMatrix.h:43
DiagMatrix(const DiagArray2< U > &a)
Definition: dDiagMatrix.h:62
MDiagArray2< T > transpose(void) const
Definition: MDiagArray2.h:105
Definition: dMatrix.h:42
Definition: DET.h:39
OCTAVE_API DiagMatrix imag(const ComplexDiagMatrix &a)
Definition: dDiagMatrix.cc:140
OCTAVE_API DiagMatrix real(const ComplexDiagMatrix &a)
Definition: dDiagMatrix.cc:134
OCTAVE_API DiagMatrix operator*(const DiagMatrix &a, const DiagMatrix &b)
Definition: dDiagMatrix.cc:304
bool operator!=(const dim_vector &a, const dim_vector &b)
Definition: dim-vector.h:601
bool operator==(const dim_vector &a, const dim_vector &b)
Definition: dim-vector.h:585
T * r
Definition: mx-inlines.cc:773
static T abs(T x)
Definition: pr-output.cc:1678