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dSparse.h
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1 /*
2 
3 Copyright (C) 2004-2015 David Bateman
4 Copyright (C) 1998-2004 Andy Adler
5 
6 This file is part of Octave.
7 
8 Octave is free software; you can redistribute it and/or modify it
9 under the terms of the GNU General Public License as published by the
10 Free Software Foundation; either version 3 of the License, or (at your
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
16 for more details.
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18 You should have received a copy of the GNU General Public License
19 along with Octave; see the file COPYING. If not, see
20 <http://www.gnu.org/licenses/>.
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22 */
23 
24 #if !defined (octave_dSparse_h)
25 #define octave_dSparse_h 1
26 
27 #include "dMatrix.h"
28 #include "dNDArray.h"
29 #include "CMatrix.h"
30 #include "dColVector.h"
31 #include "CColVector.h"
32 
33 #include "DET.h"
34 #include "MSparse.h"
35 #include "MSparse-defs.h"
36 
37 #include "Sparse-op-decls.h"
38 
39 #include "MatrixType.h"
40 
41 class PermMatrix;
42 class DiagMatrix;
43 class SparseComplexMatrix;
44 class SparseBoolMatrix;
45 
46 class
47 OCTAVE_API
48 SparseMatrix : public MSparse<double>
49 {
50 public:
51 
52  typedef void (*solve_singularity_handler) (double rcond);
53 
54  SparseMatrix (void) : MSparse<double> () { }
55 
56  SparseMatrix (octave_idx_type r, octave_idx_type c)
57  : MSparse<double> (r, c) { }
58 
59  SparseMatrix (const dim_vector& dv, octave_idx_type nz = 0) :
60  MSparse<double> (dv, nz) { }
61 
62  explicit SparseMatrix (octave_idx_type r, octave_idx_type c, double val)
63  : MSparse<double> (r, c, val) { }
64 
65  SparseMatrix (const SparseMatrix& a) : MSparse<double> (a) { }
66 
67  SparseMatrix (const SparseMatrix& a, const dim_vector& dv)
68  : MSparse<double> (a, dv) { }
69 
70  SparseMatrix (const MSparse<double>& a) : MSparse<double> (a) { }
71 
72  SparseMatrix (const Sparse<double>& a) : MSparse<double> (a) { }
73 
74  explicit SparseMatrix (const SparseBoolMatrix& a);
75 
76  explicit SparseMatrix (const Matrix& a) : MSparse<double> (a) { }
77 
78  explicit SparseMatrix (const NDArray& a) : MSparse<double> (a) { }
79 
80  SparseMatrix (const Array<double>& a, const idx_vector& r,
81  const idx_vector& c, octave_idx_type nr = -1,
82  octave_idx_type nc = -1, bool sum_terms = true,
83  octave_idx_type nzm = -1)
84  : MSparse<double> (a, r, c, nr, nc, sum_terms, nzm) { }
85 
86  explicit SparseMatrix (const DiagMatrix& a);
87 
88  explicit SparseMatrix (const PermMatrix& a) : MSparse<double>(a) { }
89 
90  SparseMatrix (octave_idx_type r, octave_idx_type c,
91  octave_idx_type num_nz) : MSparse<double> (r, c, num_nz) { }
92 
93  SparseMatrix& operator = (const SparseMatrix& a)
94  {
95  MSparse<double>::operator = (a);
96  return *this;
97  }
98 
99  bool operator == (const SparseMatrix& a) const;
100  bool operator != (const SparseMatrix& a) const;
101 
102  bool is_symmetric (void) const;
103 
104  SparseMatrix max (int dim = -1) const;
105  SparseMatrix max (Array<octave_idx_type>& index, int dim = -1) const;
106  SparseMatrix min (int dim = -1) const;
107  SparseMatrix min (Array<octave_idx_type>& index, int dim = -1) const;
108 
109  // destructive insert/delete/reorder operations
110 
111  SparseMatrix& insert (const SparseMatrix& a, octave_idx_type r,
112  octave_idx_type c);
113 
114  SparseMatrix& insert (const SparseMatrix& a,
115  const Array<octave_idx_type>& indx);
116 
117  SparseMatrix concat (const SparseMatrix& rb,
118  const Array<octave_idx_type>& ra_idx);
119  SparseComplexMatrix concat (const SparseComplexMatrix& rb,
120  const Array<octave_idx_type>& ra_idx);
121 
122  friend OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
123  friend OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
124 
125  friend OCTAVE_API SparseMatrix atan2 (const double& x, const SparseMatrix& y)
126  GCC_ATTR_DEPRECATED ;
127  friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x, const double& y)
128  GCC_ATTR_DEPRECATED ;
129  friend OCTAVE_API SparseMatrix atan2 (const SparseMatrix& x,
130  const SparseMatrix& y)
131  GCC_ATTR_DEPRECATED ;
132 
133  SparseMatrix transpose (void) const
134  {
135  return MSparse<double>::transpose ();
136  }
137  SparseMatrix hermitian (void) const { return transpose (); }
138 
139  // extract row or column i.
140 
141  RowVector row (octave_idx_type i) const;
142 
143  ColumnVector column (octave_idx_type i) const;
144 
145 private:
146  SparseMatrix dinverse (MatrixType &mattyp, octave_idx_type& info,
147  double& rcond, const bool force = false,
148  const bool calccond = true) const;
149 
150  SparseMatrix tinverse (MatrixType &mattyp, octave_idx_type& info,
151  double& rcond, const bool force = false,
152  const bool calccond = true) const;
153 
154 public:
155  SparseMatrix inverse (void) const;
156  SparseMatrix inverse (MatrixType& mattype) const;
157  SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info) const;
158  SparseMatrix inverse (MatrixType& mattype, octave_idx_type& info,
159  double& rcond, int force = 0, int calc_cond = 1) const;
160 
161  DET determinant (void) const;
162  DET determinant (octave_idx_type& info) const;
163  DET determinant (octave_idx_type& info, double& rcond,
164  int calc_cond = 1) const;
165 
166 private:
167  // Diagonal matrix solvers
168  Matrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
169  double& rcond, solve_singularity_handler sing_handler,
170  bool calc_cond = false) const;
171 
172  ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b,
173  octave_idx_type& info, double& rcond,
174  solve_singularity_handler sing_handler,
175  bool calc_cond = false) const;
176 
177  SparseMatrix dsolve (MatrixType &typ, const SparseMatrix& b,
178  octave_idx_type& info, double& rcond,
179  solve_singularity_handler sing_handler,
180  bool calc_cond = false) const;
181 
182  SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b,
183  octave_idx_type& info, double& rcond,
184  solve_singularity_handler sing_handler,
185  bool calc_cond = false) const;
186 
187  // Upper triangular matrix solvers
188  Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
189  double& rcond, solve_singularity_handler sing_handler,
190  bool calc_cond = false) const;
191 
192  ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
193  octave_idx_type& info, double& rcond,
194  solve_singularity_handler sing_handler,
195  bool calc_cond = false) const;
196 
197  SparseMatrix utsolve (MatrixType &typ, const SparseMatrix& b,
198  octave_idx_type& info, double& rcond,
199  solve_singularity_handler sing_handler,
200  bool calc_cond = false) const;
201 
202  SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b,
203  octave_idx_type& info, double& rcond,
204  solve_singularity_handler sing_handler,
205  bool calc_cond = false) const;
206 
207  // Lower triangular matrix solvers
208  Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
209  double& rcond, solve_singularity_handler sing_handler,
210  bool calc_cond = false) const;
211 
212  ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
213  octave_idx_type& info, double& rcond,
214  solve_singularity_handler sing_handler,
215  bool calc_cond = false) const;
216 
217  SparseMatrix ltsolve (MatrixType &typ, const SparseMatrix& b,
218  octave_idx_type& info, double& rcond,
219  solve_singularity_handler sing_handler,
220  bool calc_cond = false) const;
221 
222  SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b,
223  octave_idx_type& info, double& rcond,
224  solve_singularity_handler sing_handler,
225  bool calc_cond = false) const;
226 
227  // Tridiagonal matrix solvers
228  Matrix trisolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
229  double& rcond, solve_singularity_handler sing_handler,
230  bool calc_cond = false) const;
231 
232  ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b,
233  octave_idx_type& info, double& rcond,
234  solve_singularity_handler sing_handler,
235  bool calc_cond = false) const;
236 
237  SparseMatrix trisolve (MatrixType &typ, const SparseMatrix& b,
238  octave_idx_type& info, double& rcond,
239  solve_singularity_handler sing_handler,
240  bool calc_cond = false) const;
241 
242  SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b,
243  octave_idx_type& info, double& rcond,
244  solve_singularity_handler sing_handler,
245  bool calc_cond = false) const;
246 
247  // Banded matrix solvers (umfpack/cholesky)
248  Matrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
249  double& rcond, solve_singularity_handler sing_handler,
250  bool calc_cond = false) const;
251 
252  ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b,
253  octave_idx_type& info, double& rcond,
254  solve_singularity_handler sing_handler,
255  bool calc_cond = false) const;
256 
257  SparseMatrix bsolve (MatrixType &typ, const SparseMatrix& b,
258  octave_idx_type& info, double& rcond,
259  solve_singularity_handler sing_handler,
260  bool calc_cond = false) const;
261 
262  SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b,
263  octave_idx_type& info, double& rcond,
264  solve_singularity_handler sing_handler,
265  bool calc_cond = false) const;
266 
267  // Full matrix solvers (umfpack/cholesky)
268  void * factorize (octave_idx_type& err, double &rcond, Matrix &Control,
269  Matrix &Info, solve_singularity_handler sing_handler,
270  bool calc_cond = false) const;
271 
272  Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
273  double& rcond, solve_singularity_handler sing_handler,
274  bool calc_cond = false) const;
275 
276  ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
277  octave_idx_type& info, double& rcond,
278  solve_singularity_handler sing_handler,
279  bool calc_cond = false) const;
280 
281  SparseMatrix fsolve (MatrixType &typ, const SparseMatrix& b,
282  octave_idx_type& info, double& rcond,
283  solve_singularity_handler sing_handler,
284  bool calc_cond = false) const;
285 
286  SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b,
287  octave_idx_type& info, double& rcond,
288  solve_singularity_handler sing_handler,
289  bool calc_cond = false) const;
290 
291 public:
292  // Generic interface to solver with no probing of type
293  Matrix solve (MatrixType &typ, const Matrix& b) const;
294  Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const;
295  Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
296  double& rcond) const;
297  Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
298  double& rcond, solve_singularity_handler sing_handler,
299  bool singular_fallback = true) const;
300 
301  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
302  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
303  octave_idx_type& info) const;
304  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
305  octave_idx_type& info, double& rcond) const;
306  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
307  octave_idx_type& info, double& rcond,
308  solve_singularity_handler sing_handler,
309  bool singular_fallback = true) const;
310 
311  SparseMatrix solve (MatrixType &typ, const SparseMatrix& b) const;
312  SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
313  octave_idx_type& info) const;
314  SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
315  octave_idx_type& info, double& rcond) const;
316  SparseMatrix solve (MatrixType &typ, const SparseMatrix& b,
317  octave_idx_type& info, double& rcond,
318  solve_singularity_handler sing_handler,
319  bool singular_fallback = true) const;
320 
321  SparseComplexMatrix solve (MatrixType &typ,
322  const SparseComplexMatrix& b) const;
323  SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
324  octave_idx_type& info) const;
325  SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
326  octave_idx_type& info, double& rcond) const;
327  SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b,
328  octave_idx_type& info, double& rcond,
329  solve_singularity_handler sing_handler,
330  bool singular_fallabck = true) const;
331 
332  ColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
333  ColumnVector solve (MatrixType &typ, const ColumnVector& b,
334  octave_idx_type& info) const;
335  ColumnVector solve (MatrixType &typ, const ColumnVector& b,
336  octave_idx_type& info, double& rcond) const;
337  ColumnVector solve (MatrixType &typ, const ColumnVector& b,
338  octave_idx_type& info, double& rcond,
339  solve_singularity_handler sing_handler) const;
340 
341  ComplexColumnVector solve (MatrixType &typ,
342  const ComplexColumnVector& b) const;
343  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
344  octave_idx_type& info) const;
345  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
346  octave_idx_type& info, double& rcond) const;
347  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
348  octave_idx_type& info, double& rcond,
349  solve_singularity_handler sing_handler) const;
350 
351  // Generic interface to solver with probing of type
352  Matrix solve (const Matrix& b) const;
353  Matrix solve (const Matrix& b, octave_idx_type& info) const;
354  Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const;
355  Matrix solve (const Matrix& b, octave_idx_type& info, double& rcond,
356  solve_singularity_handler sing_handler) const;
357 
358  ComplexMatrix solve (const ComplexMatrix& b) const;
359  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
360  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
361  double& rcond) const;
362  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
363  double& rcond,
364  solve_singularity_handler sing_handler) const;
365 
366  SparseMatrix solve (const SparseMatrix& b) const;
367  SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info) const;
368  SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info,
369  double& rcond) const;
370  SparseMatrix solve (const SparseMatrix& b, octave_idx_type& info,
371  double& rcond,
372  solve_singularity_handler sing_handler) const;
373 
374  SparseComplexMatrix solve (const SparseComplexMatrix& b) const;
375  SparseComplexMatrix solve (const SparseComplexMatrix& b,
376  octave_idx_type& info) const;
377  SparseComplexMatrix solve (const SparseComplexMatrix& b,
378  octave_idx_type& info, double& rcond) const;
379  SparseComplexMatrix solve (const SparseComplexMatrix& b,
380  octave_idx_type& info, double& rcond,
381  solve_singularity_handler sing_handler) const;
382 
383  ColumnVector solve (const ColumnVector& b) const;
384  ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
385  ColumnVector solve (const ColumnVector& b, octave_idx_type& info,
386  double& rcond) const;
387  ColumnVector solve (const ColumnVector& b, octave_idx_type& info,
388  double& rcond,
389  solve_singularity_handler sing_handler) const;
390 
391  ComplexColumnVector solve (const ComplexColumnVector& b) const;
392  ComplexColumnVector solve (const ComplexColumnVector& b,
393  octave_idx_type& info) const;
394  ComplexColumnVector solve (const ComplexColumnVector& b,
395  octave_idx_type& info, double& rcond) const;
396  ComplexColumnVector solve (const ComplexColumnVector& b,
397  octave_idx_type& info, double& rcond,
398  solve_singularity_handler sing_handler) const;
399 
400  // other operations
401 
402  bool any_element_is_negative (bool = false) const;
403  bool any_element_is_nan (void) const;
404  bool any_element_is_inf_or_nan (void) const;
405  bool any_element_not_one_or_zero (void) const;
406  bool all_elements_are_zero (void) const;
407  bool all_elements_are_int_or_inf_or_nan (void) const;
408  bool all_integers (double& max_val, double& min_val) const;
409  bool too_large_for_float (void) const;
410 
411  SparseBoolMatrix operator ! (void) const;
412 
413  SparseBoolMatrix all (int dim = -1) const;
414  SparseBoolMatrix any (int dim = -1) const;
415 
416  SparseMatrix cumprod (int dim = -1) const;
417  SparseMatrix cumsum (int dim = -1) const;
418  SparseMatrix prod (int dim = -1) const;
419  SparseMatrix sum (int dim = -1) const;
420  SparseMatrix sumsq (int dim = -1) const;
421  SparseMatrix abs (void) const;
422 
423  SparseMatrix diag (octave_idx_type k = 0) const;
424 
425  Matrix matrix_value (void) const;
426 
427  SparseMatrix squeeze (void) const;
428 
429  SparseMatrix reshape (const dim_vector& new_dims) const;
430 
431  SparseMatrix permute (const Array<octave_idx_type>& vec,
432  bool inv = false) const;
433 
434  SparseMatrix ipermute (const Array<octave_idx_type>& vec) const;
435 
436  // i/o
437 
438  friend OCTAVE_API std::ostream& operator << (std::ostream& os,
439  const SparseMatrix& a);
440  friend OCTAVE_API std::istream& operator >> (std::istream& is,
441  SparseMatrix& a);
442 
443 };
444 
445 // Publish externally used friend functions.
446 
447 extern OCTAVE_API SparseMatrix real (const SparseComplexMatrix& a);
448 extern OCTAVE_API SparseMatrix imag (const SparseComplexMatrix& a);
449 
450 // Other operators.
451 
452 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix& a,
453  const SparseMatrix& b);
454 extern OCTAVE_API Matrix operator * (const Matrix& a,
455  const SparseMatrix& b);
456 extern OCTAVE_API Matrix mul_trans (const Matrix& a,
457  const SparseMatrix& b);
458 extern OCTAVE_API Matrix operator * (const SparseMatrix& a,
459  const Matrix& b);
460 extern OCTAVE_API Matrix trans_mul (const SparseMatrix& a,
461  const Matrix& b);
462 
463 extern OCTAVE_API SparseMatrix operator * (const DiagMatrix&,
464  const SparseMatrix&);
465 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix&,
466  const DiagMatrix&);
467 
468 extern OCTAVE_API SparseMatrix operator + (const DiagMatrix&,
469  const SparseMatrix&);
470 extern OCTAVE_API SparseMatrix operator + (const SparseMatrix&,
471  const DiagMatrix&);
472 extern OCTAVE_API SparseMatrix operator - (const DiagMatrix&,
473  const SparseMatrix&);
474 extern OCTAVE_API SparseMatrix operator - (const SparseMatrix&,
475  const DiagMatrix&);
476 
477 extern OCTAVE_API SparseMatrix operator * (const PermMatrix&,
478  const SparseMatrix&);
479 extern OCTAVE_API SparseMatrix operator * (const SparseMatrix&,
480  const PermMatrix&);
481 
482 extern OCTAVE_API SparseMatrix min (double d, const SparseMatrix& m);
483 extern OCTAVE_API SparseMatrix min (const SparseMatrix& m, double d);
484 extern OCTAVE_API SparseMatrix min (const SparseMatrix& a,
485  const SparseMatrix& b);
486 
487 extern OCTAVE_API SparseMatrix max (double d, const SparseMatrix& m);
488 extern OCTAVE_API SparseMatrix max (const SparseMatrix& m, double d);
489 extern OCTAVE_API SparseMatrix max (const SparseMatrix& a,
490  const SparseMatrix& b);
491 
492 SPARSE_SMS_CMP_OP_DECLS (SparseMatrix, double, OCTAVE_API)
493 SPARSE_SMS_BOOL_OP_DECLS (SparseMatrix, double, OCTAVE_API)
494 
495 SPARSE_SSM_CMP_OP_DECLS (double, SparseMatrix, OCTAVE_API)
496 SPARSE_SSM_BOOL_OP_DECLS (double, SparseMatrix, OCTAVE_API)
497 
498 SPARSE_SMSM_CMP_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
499 SPARSE_SMSM_BOOL_OP_DECLS (SparseMatrix, SparseMatrix, OCTAVE_API)
500 
501 SPARSE_FORWARD_DEFS (MSparse, SparseMatrix, Matrix, double)
502 
503 #ifdef USE_64_BIT_IDX_T
504 #define UMFPACK_DNAME(name) umfpack_dl_ ## name
505 #else
506 #define UMFPACK_DNAME(name) umfpack_di_ ## name
507 #endif
508 
509 #endif
operator-
OCTAVE_API SparseMatrix operator-(const DiagMatrix &, const SparseMatrix &)
Definition: dSparse.cc:7611
SparseBoolMatrix::matrix_value
boolMatrix matrix_value(void) const
Definition: boolSparse.cc:248
operator+
OCTAVE_API SparseMatrix operator+(const DiagMatrix &, const SparseMatrix &)
Definition: dSparse.cc:7605
SPARSE_SMSM_BOOL_OP_DECLS
#define SPARSE_SMSM_BOOL_OP_DECLS(M1, M2, API)
Definition: Sparse-op-decls.h:117
operator!=
bool operator!=(const dim_vector &a, const dim_vector &b)
Definition: dim-vector.h:548
SparseMatrix::SparseMatrix
SparseMatrix(const Array< double > &a, const idx_vector &r, const idx_vector &c, octave_idx_type nr=-1, octave_idx_type nc=-1, bool sum_terms=true, octave_idx_type nzm=-1)
Definition: dSparse.h:80
ra_idx
const octave_base_value const Array< octave_idx_type > & ra_idx
Definition: op-int-concat.cc:166
operator>>
std::istream & operator>>(std::istream &is, SparseBoolMatrix &a)
Definition: boolSparse.cc:279
SparseMatrix::transpose
SparseMatrix transpose(void) const
Definition: dSparse.h:133
ltsolve
static ComplexMatrix ltsolve(const SparseComplexMatrix &, const ColumnVector &, const ComplexMatrix &)
SparseMatrix::SparseMatrix
SparseMatrix(const NDArray &a)
Definition: dSparse.h:78
SparseBoolMatrix::ipermute
SparseBoolMatrix ipermute(const Array< octave_idx_type > &vec) const
Definition: boolSparse.cc:318
mul_trans
OCTAVE_API Matrix mul_trans(const Matrix &a, const SparseMatrix &b)
Definition: dSparse.cc:7573
imag
OCTAVE_API SparseMatrix imag(const SparseComplexMatrix &a)
Definition: dSparse.cc:661
SparseBoolMatrix::operator=
SparseBoolMatrix & operator=(const SparseBoolMatrix &a)
Definition: boolSparse.h:77
SparseMatrix::SparseMatrix
SparseMatrix(const Matrix &a)
Definition: dSparse.h:76
transpose
static void transpose(octave_idx_type N, const octave_idx_type *ridx, const octave_idx_type *cidx, octave_idx_type *ridx2, octave_idx_type *cidx2)
Definition: symrcm.cc:382
concat
ComplexNDArray concat(NDArray &ra, ComplexNDArray &rb, const Array< octave_idx_type > &ra_idx)
Definition: CNDArray.cc:664
SPARSE_SMS_CMP_OP_DECLS
#define SPARSE_SMS_CMP_OP_DECLS(M, S, API)
Definition: Sparse-op-decls.h:47
SparseBoolMatrix::permute
SparseBoolMatrix permute(const Array< octave_idx_type > &vec, bool inv=false) const
Definition: boolSparse.cc:312
SparseMatrix::SparseMatrix
SparseMatrix(const SparseMatrix &a, const dim_vector &dv)
Definition: dSparse.h:67
SparseMatrix::hermitian
SparseMatrix hermitian(void) const
Definition: dSparse.h:137
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OCTAVE_API SparseMatrix max(double d, const SparseMatrix &m)
Definition: dSparse.cc:7799
SparseMatrix::SparseMatrix
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Definition: dSparse.h:56
SPARSE_SMS_BOOL_OP_DECLS
#define SPARSE_SMS_BOOL_OP_DECLS(M, S, API)
Definition: Sparse-op-decls.h:59
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SparseBoolMatrix index(const idx_vector &i, bool resize_ok) const
Definition: boolSparse.cc:293
SparseMatrix::SparseMatrix
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Definition: dSparse.h:65
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MSparse< T > transpose(void) const
Definition: MSparse.h:94
SparseMatrix::SparseMatrix
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Definition: dSparse.h:70
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F77_RET_T const double const double double * d
Definition: __pchip_deriv__.cc:38
SPARSE_SSM_CMP_OP_DECLS
#define SPARSE_SSM_CMP_OP_DECLS(S, M, API)
Definition: Sparse-op-decls.h:76
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SparseBoolMatrix reshape(const dim_vector &new_dims) const
Definition: boolSparse.cc:306
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Definition: dSparse.h:90
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SparseMatrix sum(int dim=-1) const
Definition: boolSparse.cc:191
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#define SPARSE_SMSM_CMP_OP_DECLS(M1, M2, API)
Definition: Sparse-op-decls.h:105
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OCTAVE_API SparseMatrix min(double d, const SparseMatrix &m)
Definition: dSparse.cc:7649
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SparseBoolMatrix all(int dim=-1) const
Definition: boolSparse.cc:138
SPARSE_SSM_BOOL_OP_DECLS
#define SPARSE_SSM_BOOL_OP_DECLS(S, M, API)
Definition: Sparse-op-decls.h:88
SparseMatrix::SparseMatrix
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Definition: dSparse.h:59
SparseMatrix::SparseMatrix
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Definition: dSparse.h:72
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Definition: DET.h:31
operator*
OCTAVE_API SparseMatrix operator*(const SparseMatrix &a, const SparseMatrix &b)
Definition: dSparse.cc:7561
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SparseBoolMatrix & insert(const SparseBoolMatrix &a, octave_idx_type r, octave_idx_type c)
Definition: boolSparse.cc:75
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Definition: dSparse.h:88
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Definition: dMatrix.h:35
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SparseBoolMatrix any(int dim=-1) const
Definition: boolSparse.cc:144
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SparseBoolMatrix squeeze(void) const
Definition: boolSparse.cc:287
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bool operator==(const dim_vector &a, const dim_vector &b)
Definition: dim-vector.h:519
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OCTAVE_API Matrix trans_mul(const SparseMatrix &a, const Matrix &b)
Definition: dSparse.cc:7585
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SparseMatrix atan2(const double &x, const SparseMatrix &y)
Definition: dSparse.cc:689
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Definition: dSparse.h:54
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static ComplexMatrix utsolve(const SparseComplexMatrix &, const ColumnVector &, const ComplexMatrix &)
operator<<
template OCTAVE_API std::ostream & operator<<(std::ostream &, const Array< bool > &)
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#define SPARSE_FORWARD_DEFS(B, R, F, T)
Definition: MSparse-defs.h:191
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OCTAVE_API SparseMatrix real(const SparseComplexMatrix &a)
Definition: dSparse.cc:640
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Definition: idx-vector.h:50
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MSparse< T > & operator=(const MSparse< T > &a)
Definition: MSparse.h:76
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SparseBoolMatrix diag(octave_idx_type k=0) const
Definition: boolSparse.cc:242
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octave_value operator!(const octave_value &a)
Definition: ov.h:1293
SparseMatrix::SparseMatrix
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Definition: dSparse.h:62
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Definition: dim-vector.h:53
abs
T abs(T x)
Definition: pr-output.cc:3062
x
F77_RET_T const double * x
Definition: __pchip_deriv__.cc:38
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