GNU Octave  8.1.0
A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
CMatrix.h
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25 
26 #if ! defined (octave_CMatrix_h)
27 #define octave_CMatrix_h 1
28 
29 #include "octave-config.h"
30 
31 #include "CNDArray.h"
32 #include "DET.h"
33 #include "MArray.h"
34 #include "MDiagArray2.h"
35 #include "MatrixType.h"
36 #include "mx-defs.h"
37 #include "mx-op-decl.h"
38 #include "oct-cmplx.h"
39 
40 class
41 OCTAVE_API
42 ComplexMatrix : public ComplexNDArray
43 {
44 public:
45 
46  typedef ComplexColumnVector column_vector_type;
47  typedef ComplexRowVector row_vector_type;
48 
49  typedef ColumnVector real_column_vector_type;
50  typedef RowVector real_row_vector_type;
51 
52  typedef Matrix real_matrix_type;
53  typedef ComplexMatrix complex_matrix_type;
54 
55  typedef DiagMatrix real_diag_matrix_type;
56  typedef ComplexDiagMatrix complex_diag_matrix_type;
57 
58  typedef double real_elt_type;
59  typedef Complex complex_elt_type;
60 
61  typedef void (*solve_singularity_handler) (double rcon);
62 
63  ComplexMatrix (void) = default;
64 
65  ComplexMatrix (const ComplexMatrix& a) = default;
66 
67  ComplexMatrix& operator = (const ComplexMatrix& a) = default;
68 
69  ~ComplexMatrix (void) = default;
70 
71  ComplexMatrix (octave_idx_type r, octave_idx_type c)
72  : ComplexNDArray (dim_vector (r, c)) { }
73 
74  ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
75  : ComplexNDArray (dim_vector (r, c), val) { }
76 
77  ComplexMatrix (const dim_vector& dv) : ComplexNDArray (dv.redim (2)) { }
78 
79  ComplexMatrix (const dim_vector& dv, const Complex& val)
80  : ComplexNDArray (dv.redim (2), val) { }
81 
82  template <typename U>
83  ComplexMatrix (const MArray<U>& a) : ComplexNDArray (a.as_matrix ()) { }
84 
85  template <typename U>
86  ComplexMatrix (const Array<U>& a) : ComplexNDArray (a.as_matrix ()) { }
87 
88  OCTAVE_API ComplexMatrix (const Matrix& re, const Matrix& im);
89 
90  explicit OCTAVE_API ComplexMatrix (const Matrix& a);
91 
92  explicit OCTAVE_API ComplexMatrix (const RowVector& rv);
93 
94  explicit OCTAVE_API ComplexMatrix (const ColumnVector& cv);
95 
96  explicit OCTAVE_API ComplexMatrix (const DiagMatrix& a);
97 
98  explicit OCTAVE_API ComplexMatrix (const MDiagArray2<double>& a);
99 
100  explicit OCTAVE_API ComplexMatrix (const DiagArray2<double>& a);
101 
102  explicit OCTAVE_API ComplexMatrix (const ComplexRowVector& rv);
103 
104  explicit OCTAVE_API ComplexMatrix (const ComplexColumnVector& cv);
105 
106  explicit OCTAVE_API ComplexMatrix (const ComplexDiagMatrix& a);
107 
108  explicit OCTAVE_API ComplexMatrix (const MDiagArray2<Complex>& a);
109 
110  explicit OCTAVE_API ComplexMatrix (const DiagArray2<Complex>& a);
111 
112  explicit OCTAVE_API ComplexMatrix (const boolMatrix& a);
113 
114  explicit OCTAVE_API ComplexMatrix (const charMatrix& a);
115 
116  OCTAVE_API bool operator == (const ComplexMatrix& a) const;
117  OCTAVE_API bool operator != (const ComplexMatrix& a) const;
118 
119  OCTAVE_API bool ishermitian (void) const;
120 
121  // destructive insert/delete/reorder operations
122 
123  OCTAVE_API ComplexMatrix&
124  insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
125  OCTAVE_API ComplexMatrix&
126  insert (const RowVector& a, octave_idx_type r, octave_idx_type c);
127  OCTAVE_API ComplexMatrix&
128  insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c);
129  OCTAVE_API ComplexMatrix&
130  insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c);
131 
132  OCTAVE_API ComplexMatrix&
133  insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c);
134  OCTAVE_API ComplexMatrix&
135  insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c);
136  OCTAVE_API ComplexMatrix&
137  insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c);
138  OCTAVE_API ComplexMatrix&
139  insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c);
140 
141  OCTAVE_API ComplexMatrix& fill (double val);
142  OCTAVE_API ComplexMatrix& fill (const Complex& val);
143  OCTAVE_API ComplexMatrix&
144  fill (double val, octave_idx_type r1, octave_idx_type c1,
145  octave_idx_type r2, octave_idx_type c2);
146  OCTAVE_API ComplexMatrix&
147  fill (const Complex& val, octave_idx_type r1, octave_idx_type c1,
148  octave_idx_type r2, octave_idx_type c2);
149 
150  OCTAVE_API ComplexMatrix append (const Matrix& a) const;
151  OCTAVE_API ComplexMatrix append (const RowVector& a) const;
152  OCTAVE_API ComplexMatrix append (const ColumnVector& a) const;
153  OCTAVE_API ComplexMatrix append (const DiagMatrix& a) const;
154 
155  OCTAVE_API ComplexMatrix append (const ComplexMatrix& a) const;
156  OCTAVE_API ComplexMatrix append (const ComplexRowVector& a) const;
157  OCTAVE_API ComplexMatrix append (const ComplexColumnVector& a) const;
158  OCTAVE_API ComplexMatrix append (const ComplexDiagMatrix& a) const;
159 
160  OCTAVE_API ComplexMatrix stack (const Matrix& a) const;
161  OCTAVE_API ComplexMatrix stack (const RowVector& a) const;
162  OCTAVE_API ComplexMatrix stack (const ColumnVector& a) const;
163  OCTAVE_API ComplexMatrix stack (const DiagMatrix& a) const;
164 
165  OCTAVE_API ComplexMatrix stack (const ComplexMatrix& a) const;
166  OCTAVE_API ComplexMatrix stack (const ComplexRowVector& a) const;
167  OCTAVE_API ComplexMatrix stack (const ComplexColumnVector& a) const;
168  OCTAVE_API ComplexMatrix stack (const ComplexDiagMatrix& a) const;
169 
170  ComplexMatrix hermitian (void) const
171  { return MArray<Complex>::hermitian (std::conj); }
172  ComplexMatrix transpose (void) const
173  { return MArray<Complex>::transpose (); }
174 
175  friend OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
176 
177  // resize is the destructive equivalent for this one
178 
179  OCTAVE_API ComplexMatrix
180  extract (octave_idx_type r1, octave_idx_type c1,
181  octave_idx_type r2, octave_idx_type c2) const;
182 
183  OCTAVE_API ComplexMatrix
184  extract_n (octave_idx_type r1, octave_idx_type c1,
185  octave_idx_type nr, octave_idx_type nc) const;
186 
187  // extract row or column i.
188 
189  OCTAVE_API ComplexRowVector row (octave_idx_type i) const;
190 
191  OCTAVE_API ComplexColumnVector column (octave_idx_type i) const;
192 
193  void resize (octave_idx_type nr, octave_idx_type nc,
194  const Complex& rfv = Complex (0))
195  {
196  MArray<Complex>::resize (dim_vector (nr, nc), rfv);
197  }
198 
199 private:
200  ComplexMatrix tinverse (MatrixType& mattype, octave_idx_type& info,
201  double& rcon, bool force, bool calc_cond) const;
202 
203  ComplexMatrix finverse (MatrixType& mattype, octave_idx_type& info,
204  double& rcon, bool force, bool calc_cond) const;
205 
206 public:
207  OCTAVE_API ComplexMatrix inverse (void) const;
208  OCTAVE_API ComplexMatrix inverse (octave_idx_type& info) const;
209  OCTAVE_API ComplexMatrix
210  inverse (octave_idx_type& info, double& rcon,
211  bool force = false, bool calc_cond = true) const;
212 
213  OCTAVE_API ComplexMatrix inverse (MatrixType& mattype) const;
214  OCTAVE_API ComplexMatrix
215  inverse (MatrixType& mattype, octave_idx_type& info) const;
216  OCTAVE_API ComplexMatrix
217  inverse (MatrixType& mattype, octave_idx_type& info, double& rcon,
218  bool force = false, bool calc_cond = true) const;
219 
220  OCTAVE_API ComplexMatrix pseudo_inverse (double tol = 0.0) const;
221 
222  OCTAVE_API ComplexMatrix fourier (void) const;
223  OCTAVE_API ComplexMatrix ifourier (void) const;
224 
225  OCTAVE_API ComplexMatrix fourier2d (void) const;
226  OCTAVE_API ComplexMatrix ifourier2d (void) const;
227 
228  OCTAVE_API ComplexDET determinant (void) const;
229  OCTAVE_API ComplexDET determinant (octave_idx_type& info) const;
230  OCTAVE_API ComplexDET
231  determinant (octave_idx_type& info, double& rcon,
232  bool calc_cond = true) const;
233  OCTAVE_API ComplexDET
234  determinant (MatrixType& mattype, octave_idx_type& info, double& rcon,
235  bool calc_cond = true) const;
236 
237  OCTAVE_API double rcond (void) const;
238  OCTAVE_API double rcond (MatrixType& mattype) const;
239 
240 private:
241  // Upper triangular matrix solvers
242  ComplexMatrix utsolve (MatrixType& mattype, const ComplexMatrix& b,
243  octave_idx_type& info, double& rcon,
244  solve_singularity_handler sing_handler,
245  bool calc_cond = false,
246  blas_trans_type transt = blas_no_trans) const;
247 
248  // Lower triangular matrix solvers
249  ComplexMatrix ltsolve (MatrixType& mattype, const ComplexMatrix& b,
250  octave_idx_type& info, double& rcon,
251  solve_singularity_handler sing_handler,
252  bool calc_cond = false,
253  blas_trans_type transt = blas_no_trans) const;
254 
255  // Full matrix solvers (umfpack/cholesky)
256  ComplexMatrix fsolve (MatrixType& mattype, const ComplexMatrix& b,
257  octave_idx_type& info, double& rcon,
258  solve_singularity_handler sing_handler,
259  bool calc_cond = false) const;
260 
261 public:
262  // Generic interface to solver with no probing of type
263  OCTAVE_API ComplexMatrix solve (MatrixType& mattype, const Matrix& b) const;
264  OCTAVE_API ComplexMatrix
265  solve (MatrixType& mattype, const Matrix& b, octave_idx_type& info) const;
266  OCTAVE_API ComplexMatrix
267  solve (MatrixType& mattype, const Matrix& b, octave_idx_type& info,
268  double& rcon) const;
269  OCTAVE_API ComplexMatrix
270  solve (MatrixType& mattype, const Matrix& b, octave_idx_type& info,
271  double& rcon, solve_singularity_handler sing_handler,
272  bool singular_fallback = true,
273  blas_trans_type transt = blas_no_trans) const;
274 
275  OCTAVE_API ComplexMatrix
276  solve (MatrixType& mattype, const ComplexMatrix& b) const;
277  OCTAVE_API ComplexMatrix
278  solve (MatrixType& mattype, const ComplexMatrix& b,
279  octave_idx_type& info) const;
280  OCTAVE_API ComplexMatrix
281  solve (MatrixType& mattype, const ComplexMatrix& b, octave_idx_type& info,
282  double& rcon) const;
283  OCTAVE_API ComplexMatrix
284  solve (MatrixType& mattype, const ComplexMatrix& b, octave_idx_type& info,
285  double& rcon, solve_singularity_handler sing_handler,
286  bool singular_fallback = true,
287  blas_trans_type transt = blas_no_trans) const;
288 
289  OCTAVE_API ComplexColumnVector
290  solve (MatrixType& mattype, const ColumnVector& b) const;
291  OCTAVE_API ComplexColumnVector
292  solve (MatrixType& mattype, const ColumnVector& b,
293  octave_idx_type& info) const;
294  OCTAVE_API ComplexColumnVector
295  solve (MatrixType& mattype, const ColumnVector& b,
296  octave_idx_type& info, double& rcon) const;
297  OCTAVE_API ComplexColumnVector
298  solve (MatrixType& mattype, const ColumnVector& b, octave_idx_type& info,
299  double& rcon, solve_singularity_handler sing_handler,
300  blas_trans_type transt = blas_no_trans) const;
301 
302  OCTAVE_API ComplexColumnVector
303  solve (MatrixType& mattype, const ComplexColumnVector& b) const;
304  OCTAVE_API ComplexColumnVector
305  solve (MatrixType& mattype, const ComplexColumnVector& b,
306  octave_idx_type& info) const;
307  OCTAVE_API ComplexColumnVector
308  solve (MatrixType& mattype, const ComplexColumnVector& b,
309  octave_idx_type& info, double& rcon) const;
310  OCTAVE_API ComplexColumnVector
311  solve (MatrixType& mattype, const ComplexColumnVector& b,
312  octave_idx_type& info, double& rcon,
313  solve_singularity_handler sing_handler,
314  blas_trans_type transt = blas_no_trans) const;
315 
316  // Generic interface to solver with probing of type
317  OCTAVE_API ComplexMatrix solve (const Matrix& b) const;
318  OCTAVE_API ComplexMatrix
319  solve (const Matrix& b, octave_idx_type& info) const;
320  OCTAVE_API ComplexMatrix
321  solve (const Matrix& b, octave_idx_type& info, double& rcon) const;
322  OCTAVE_API ComplexMatrix
323  solve (const Matrix& b, octave_idx_type& info, double& rcon,
324  solve_singularity_handler sing_handler,
325  blas_trans_type transt = blas_no_trans) const;
326 
327  OCTAVE_API ComplexMatrix solve (const ComplexMatrix& b) const;
328  OCTAVE_API ComplexMatrix
329  solve (const ComplexMatrix& b, octave_idx_type& info) const;
330  OCTAVE_API ComplexMatrix
331  solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const;
332  OCTAVE_API ComplexMatrix
333  solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon,
334  solve_singularity_handler sing_handler,
335  blas_trans_type transt = blas_no_trans) const;
336 
337  OCTAVE_API ComplexColumnVector solve (const ColumnVector& b) const;
338  OCTAVE_API ComplexColumnVector
339  solve (const ColumnVector& b, octave_idx_type& info) const;
340  OCTAVE_API ComplexColumnVector
341  solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const;
342  OCTAVE_API ComplexColumnVector
343  solve (const ColumnVector& b, octave_idx_type& info, double& rcon,
344  solve_singularity_handler sing_handler,
345  blas_trans_type transt = blas_no_trans) const;
346 
347  OCTAVE_API ComplexColumnVector solve (const ComplexColumnVector& b) const;
348  OCTAVE_API ComplexColumnVector
349  solve (const ComplexColumnVector& b, octave_idx_type& info) const;
350  OCTAVE_API ComplexColumnVector
351  solve (const ComplexColumnVector& b, octave_idx_type& info,
352  double& rcon) const;
353  OCTAVE_API ComplexColumnVector
354  solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon,
355  solve_singularity_handler sing_handler,
356  blas_trans_type transt = blas_no_trans) const;
357 
358  OCTAVE_API ComplexMatrix lssolve (const Matrix& b) const;
359  OCTAVE_API ComplexMatrix
360  lssolve (const Matrix& b, octave_idx_type& info) const;
361  OCTAVE_API ComplexMatrix
362  lssolve (const Matrix& b, octave_idx_type& info,
363  octave_idx_type& rank) const;
364  OCTAVE_API ComplexMatrix
365  lssolve (const Matrix& b, octave_idx_type& info,
366  octave_idx_type& rank, double& rcon) const;
367 
368  OCTAVE_API ComplexMatrix lssolve (const ComplexMatrix& b) const;
369  OCTAVE_API ComplexMatrix
370  lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
371  OCTAVE_API ComplexMatrix
372  lssolve (const ComplexMatrix& b, octave_idx_type& info,
373  octave_idx_type& rank) const;
374  OCTAVE_API ComplexMatrix
375  lssolve (const ComplexMatrix& b, octave_idx_type& info,
376  octave_idx_type& rank, double& rcon) const;
377 
378  OCTAVE_API ComplexColumnVector lssolve (const ColumnVector& b) const;
379  OCTAVE_API ComplexColumnVector
380  lssolve (const ColumnVector& b, octave_idx_type& info) const;
381  OCTAVE_API ComplexColumnVector
382  lssolve (const ColumnVector& b, octave_idx_type& info,
383  octave_idx_type& rank) const;
384  OCTAVE_API ComplexColumnVector
385  lssolve (const ColumnVector& b, octave_idx_type& info,
386  octave_idx_type& rank, double& rcon) const;
387 
388  OCTAVE_API ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
389  OCTAVE_API ComplexColumnVector
390  lssolve (const ComplexColumnVector& b, octave_idx_type& info) const;
391  OCTAVE_API ComplexColumnVector
392  lssolve (const ComplexColumnVector& b, octave_idx_type& info,
393  octave_idx_type& rank) const;
394  OCTAVE_API ComplexColumnVector
395  lssolve (const ComplexColumnVector& b, octave_idx_type& info,
396  octave_idx_type& rank, double& rcon) const;
397 
398  // matrix by diagonal matrix -> matrix operations
399 
400  OCTAVE_API ComplexMatrix& operator += (const DiagMatrix& a);
401  OCTAVE_API ComplexMatrix& operator -= (const DiagMatrix& a);
402 
403  OCTAVE_API ComplexMatrix& operator += (const ComplexDiagMatrix& a);
404  OCTAVE_API ComplexMatrix& operator -= (const ComplexDiagMatrix& a);
405 
406  // matrix by matrix -> matrix operations
407 
408  OCTAVE_API ComplexMatrix& operator += (const Matrix& a);
409  OCTAVE_API ComplexMatrix& operator -= (const Matrix& a);
410 
411  // other operations
412 
413  OCTAVE_API boolMatrix all (int dim = -1) const;
414  OCTAVE_API boolMatrix any (int dim = -1) const;
415 
416  OCTAVE_API ComplexMatrix cumprod (int dim = -1) const;
417  OCTAVE_API ComplexMatrix cumsum (int dim = -1) const;
418  OCTAVE_API ComplexMatrix prod (int dim = -1) const;
419  OCTAVE_API ComplexMatrix sum (int dim = -1) const;
420  OCTAVE_API ComplexMatrix sumsq (int dim = -1) const;
421  OCTAVE_API Matrix abs (void) const;
422 
423  OCTAVE_API ComplexMatrix diag (octave_idx_type k = 0) const;
424 
425  OCTAVE_API ComplexDiagMatrix
426  diag (octave_idx_type m, octave_idx_type n) const;
427 
428  OCTAVE_API bool row_is_real_only (octave_idx_type) const;
429  OCTAVE_API bool column_is_real_only (octave_idx_type) const;
430 
431  OCTAVE_API ComplexColumnVector row_min (void) const;
432  OCTAVE_API ComplexColumnVector row_max (void) const;
433 
434  OCTAVE_API ComplexColumnVector row_min (Array<octave_idx_type>& index) const;
435  OCTAVE_API ComplexColumnVector row_max (Array<octave_idx_type>& index) const;
436 
437  OCTAVE_API ComplexRowVector column_min (void) const;
438  OCTAVE_API ComplexRowVector column_max (void) const;
439 
440  OCTAVE_API ComplexRowVector column_min (Array<octave_idx_type>& index) const;
441  OCTAVE_API ComplexRowVector column_max (Array<octave_idx_type>& index) const;
442 
443  // i/o
444 
445  friend OCTAVE_API std::ostream&
446  operator << (std::ostream& os, const ComplexMatrix& a);
447  friend OCTAVE_API std::istream&
448  operator >> (std::istream& is, ComplexMatrix& a);
449 };
450 
451 extern OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);
452 
453 // column vector by row vector -> matrix operations
454 
455 extern OCTAVE_API ComplexMatrix
456 operator * (const ColumnVector& a, const ComplexRowVector& b);
457 
458 extern OCTAVE_API ComplexMatrix
459 operator * (const ComplexColumnVector& a, const RowVector& b);
460 
461 extern OCTAVE_API ComplexMatrix
462 operator * (const ComplexColumnVector& a, const ComplexRowVector& b);
463 
464 extern OCTAVE_API ComplexMatrix
465 Givens (const Complex&, const Complex&);
466 
467 extern OCTAVE_API ComplexMatrix
468 Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&);
469 
470 extern OCTAVE_API ComplexMatrix
471 xgemm (const ComplexMatrix& a, const ComplexMatrix& b,
472  blas_trans_type transa = blas_no_trans,
473  blas_trans_type transb = blas_no_trans);
474 
475 extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
476  const ComplexMatrix&);
477 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
478  const Matrix&);
479 extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
480  const ComplexMatrix&);
481 
482 extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m);
483 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c);
484 extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a,
485  const ComplexMatrix& b);
486 
487 extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m);
488 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c);
489 extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a,
490  const ComplexMatrix& b);
491 
492 extern OCTAVE_API ComplexMatrix linspace (const ComplexColumnVector& x1,
493  const ComplexColumnVector& x2,
494  octave_idx_type n);
495 
496 MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
497 MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
498 
499 SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
500 SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
501 
502 MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
503 MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
504 
505 MARRAY_FORWARD_DEFS (MArray, ComplexMatrix, Complex)
506 
507 #endif
operator<<
template OCTAVE_API std::ostream & operator<<(std::ostream &, const Array< bool > &)
operator-=
ComplexMatrix operator-=(ComplexMatrix &x, const Complex &y)
Definition: CMatrix.h:505
xgemm
OCTAVE_API ComplexMatrix xgemm(const ComplexMatrix &a, const ComplexMatrix &b, blas_trans_type transa=blas_no_trans, blas_trans_type transb=blas_no_trans)
Definition: CMatrix.cc:3346
Sylvester
OCTAVE_API ComplexMatrix Sylvester(const ComplexMatrix &, const ComplexMatrix &, const ComplexMatrix &)
Definition: CMatrix.cc:3248
max
OCTAVE_API ComplexMatrix max(const Complex &c, const ComplexMatrix &m)
Definition: CMatrix.cc:3553
operator*
OCTAVE_API ComplexMatrix operator*(const ColumnVector &a, const ComplexRowVector &b)
Definition: CMatrix.cc:2623
operator+=
ComplexMatrix operator+=(ComplexMatrix &x, const Complex &y)
Definition: CMatrix.h:505
linspace
OCTAVE_API ComplexMatrix linspace(const ComplexColumnVector &x1, const ComplexColumnVector &x2, octave_idx_type n)
Definition: CMatrix.cc:3628
conj
OCTAVE_API ComplexMatrix conj(const ComplexMatrix &a)
Definition: CMatrix.cc:675
min
OCTAVE_API ComplexMatrix min(const Complex &c, const ComplexMatrix &m)
Definition: CMatrix.cc:3481
Givens
OCTAVE_API ComplexMatrix Givens(const Complex &, const Complex &)
Definition: CMatrix.cc:3226
MARRAY_FORWARD_DEFS
#define MARRAY_FORWARD_DEFS(B, R, T)
Definition: MArray.h:130
operator>>
std::istream & operator>>(std::istream &is, SparseBoolMatrix &a)
Definition: boolSparse.cc:279
Array
N Dimensional Array with copy-on-write semantics.
Definition: Array.h:130
Array< T >::resize
OCTARRAY_API void resize(const dim_vector &dv, const T &rfv)
Definition: Array-base.cc:1032
ComplexMatrix::ComplexMatrix
ComplexMatrix(void)=default
ComplexMatrix::complex_diag_matrix_type
ComplexDiagMatrix complex_diag_matrix_type
Definition: CMatrix.h:56
ComplexMatrix::column_vector_type
ComplexColumnVector column_vector_type
Definition: CMatrix.h:46
ComplexMatrix::real_matrix_type
Matrix real_matrix_type
Definition: CMatrix.h:52
ComplexMatrix::complex_elt_type
Complex complex_elt_type
Definition: CMatrix.h:59
ComplexMatrix::~ComplexMatrix
~ComplexMatrix(void)=default
ComplexMatrix::ComplexMatrix
ComplexMatrix(const dim_vector &dv)
Definition: CMatrix.h:77
ComplexMatrix::real_elt_type
double real_elt_type
Definition: CMatrix.h:58
ComplexMatrix::real_row_vector_type
RowVector real_row_vector_type
Definition: CMatrix.h:50
ComplexMatrix::row_vector_type
ComplexRowVector row_vector_type
Definition: CMatrix.h:47
ComplexMatrix::transpose
ComplexMatrix transpose(void) const
Definition: CMatrix.h:172
ComplexMatrix::hermitian
ComplexMatrix hermitian(void) const
Definition: CMatrix.h:170
ComplexMatrix::ComplexMatrix
ComplexMatrix(octave_idx_type r, octave_idx_type c)
Definition: CMatrix.h:71
ComplexMatrix::ComplexMatrix
ComplexMatrix(octave_idx_type r, octave_idx_type c, const Complex &val)
Definition: CMatrix.h:74
ComplexMatrix::ComplexMatrix
ComplexMatrix(const ComplexMatrix &a)=default
ComplexMatrix::real_diag_matrix_type
DiagMatrix real_diag_matrix_type
Definition: CMatrix.h:55
ComplexMatrix::resize
void resize(octave_idx_type nr, octave_idx_type nc, const Complex &rfv=Complex(0))
Definition: CMatrix.h:193
ComplexMatrix::complex_matrix_type
ComplexMatrix complex_matrix_type
Definition: CMatrix.h:53
ComplexMatrix::real_column_vector_type
ColumnVector real_column_vector_type
Definition: CMatrix.h:49
ComplexMatrix::ComplexMatrix
ComplexMatrix(const dim_vector &dv, const Complex &val)
Definition: CMatrix.h:79
ComplexMatrix::ComplexMatrix
ComplexMatrix(const Array< U > &a)
Definition: CMatrix.h:86
ComplexMatrix::ComplexMatrix
ComplexMatrix(const MArray< U > &a)
Definition: CMatrix.h:83
MArray
Template for N-dimensional array classes with like-type math operators.
Definition: MArray.h:63
MArray::hermitian
MArray< T > hermitian(T(*fcn)(const T &)=nullptr) const
Definition: MArray.h:102
MArray::transpose
MArray< T > transpose(void) const
Definition: MArray.h:99
Matrix
Definition: dMatrix.h:42
base_det
Definition: DET.h:39
dim_vector
Vector representing the dimensions (size) of an Array.
Definition: dim-vector.h:94
octave_idx_type
operator!=
bool operator!=(const dim_vector &a, const dim_vector &b)
Definition: dim-vector.h:536
operator==
bool operator==(const dim_vector &a, const dim_vector &b)
Definition: dim-vector.h:520
utsolve
static M utsolve(const SM &U, const ColumnVector &Q, const M &m)
Definition: eigs-base.cc:259
ltsolve
static M ltsolve(const SM &L, const ColumnVector &Q, const M &m)
Definition: eigs-base.cc:239
OCTAVE_API
#define OCTAVE_API
Definition: main.in.cc:55
blas_trans_type
blas_trans_type
Definition: mx-defs.h:80
blas_no_trans
@ blas_no_trans
Definition: mx-defs.h:81
ComplexMatrix
class OCTAVE_API ComplexMatrix
Definition: mx-fwd.h:32
m
T octave_idx_type m
Definition: mx-inlines.cc:773
n
octave_idx_type n
Definition: mx-inlines.cc:753
r
T * r
Definition: mx-inlines.cc:773
SM_BOOL_OP_DECLS
#define SM_BOOL_OP_DECLS(S, M, API)
Definition: mx-op-decl.h:122
MS_CMP_OP_DECLS
#define MS_CMP_OP_DECLS(M, S, API)
Definition: mx-op-decl.h:89
SM_CMP_OP_DECLS
#define SM_CMP_OP_DECLS(S, M, API)
Definition: mx-op-decl.h:114
MS_BOOL_OP_DECLS
#define MS_BOOL_OP_DECLS(M, S, API)
Definition: mx-op-decl.h:97
MM_CMP_OP_DECLS
#define MM_CMP_OP_DECLS(M1, M2, API)
Definition: mx-op-decl.h:139
MM_BOOL_OP_DECLS
#define MM_BOOL_OP_DECLS(M1, M2, API)
Definition: mx-op-decl.h:147
Complex
std::complex< double > Complex
Definition: oct-cmplx.h:33
abs
static T abs(T x)
Definition: pr-output.cc:1678