1 | #ifndef _theplu_yat_utility_matrix_ |
---|
2 | #define _theplu_yat_utility_matrix_ |
---|
3 | |
---|
4 | // $Id: matrix.h 865 2007-09-10 19:41:04Z peter $ |
---|
5 | |
---|
6 | /* |
---|
7 | Copyright (C) 2003 Daniel Dalevi, Peter Johansson |
---|
8 | Copyright (C) 2004 Jari Häkkinen, Peter Johansson |
---|
9 | Copyright (C) 2005, 2006 Jari Häkkinen, Markus Ringnér, Peter Johansson |
---|
10 | Copyright (C) 2007 Jari Häkkinen, Peter Johansson |
---|
11 | |
---|
12 | This file is part of the yat library, http://trac.thep.lu.se/trac/yat |
---|
13 | |
---|
14 | The yat library is free software; you can redistribute it and/or |
---|
15 | modify it under the terms of the GNU General Public License as |
---|
16 | published by the Free Software Foundation; either version 2 of the |
---|
17 | License, or (at your option) any later version. |
---|
18 | |
---|
19 | The yat library is distributed in the hope that it will be useful, |
---|
20 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
---|
21 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
---|
22 | General Public License for more details. |
---|
23 | |
---|
24 | You should have received a copy of the GNU General Public License |
---|
25 | along with this program; if not, write to the Free Software |
---|
26 | Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA |
---|
27 | 02111-1307, USA. |
---|
28 | */ |
---|
29 | |
---|
30 | #include "vector.h" |
---|
31 | #include "Exception.h" |
---|
32 | |
---|
33 | #include <gsl/gsl_matrix.h> |
---|
34 | #include <iostream> |
---|
35 | #include <utility> |
---|
36 | |
---|
37 | namespace theplu { |
---|
38 | namespace yat { |
---|
39 | namespace utility { |
---|
40 | |
---|
41 | class vector; |
---|
42 | |
---|
43 | /// |
---|
44 | /// @brief Interface to GSL matrix. |
---|
45 | /// |
---|
46 | /// For the time being 'double' is the only type supported. |
---|
47 | /// |
---|
48 | /// \par[File streams] Reading and writing vectors to file streams |
---|
49 | /// are of course supported. These are implemented without using GSL |
---|
50 | /// functionality, and thus binary read and write to streams are not |
---|
51 | /// supported. |
---|
52 | /// |
---|
53 | /// \par[Matrix views] GSL matrix views are supported and these are |
---|
54 | /// disguised as ordinary utility::matrix'es. A support function is |
---|
55 | /// added, utility::matrix::isview(), that can be used to check if a |
---|
56 | /// matrix object is a view. Note that view matricess do not own the |
---|
57 | /// undelying data, and a view is not valid if the matrix owning the |
---|
58 | /// data is deallocated. |
---|
59 | /// |
---|
60 | /// @note All GSL matrix related functions are not implement but |
---|
61 | /// most functionality defined for GSL matrices can be achieved with |
---|
62 | /// this interface class. Most notable GSL functionality not |
---|
63 | /// supported are no binary file support and views on arrays, |
---|
64 | /// utility::vectors, gsl_vectors, diagonals, subdiagonals, and |
---|
65 | /// superdiagonals. |
---|
66 | /// |
---|
67 | class matrix |
---|
68 | { |
---|
69 | public: |
---|
70 | |
---|
71 | /** |
---|
72 | @brief The default constructor. |
---|
73 | |
---|
74 | This contructor does not initialize underlying (essential) |
---|
75 | structures. |
---|
76 | */ |
---|
77 | matrix(void); |
---|
78 | |
---|
79 | /** |
---|
80 | \brief Constructor allocating memory space for \a r times \a c |
---|
81 | elements, and sets all elements to \a init_value. |
---|
82 | |
---|
83 | \throw GSL_error if memory allocation fails. |
---|
84 | */ |
---|
85 | matrix(const size_t& r, const size_t& c, double init_value=0); |
---|
86 | |
---|
87 | /** |
---|
88 | \brief The copy constructor. |
---|
89 | |
---|
90 | \note If the object to be copied is a matrix view, the values |
---|
91 | of the view will be copied, i.e. the view is not copied. |
---|
92 | |
---|
93 | \throw A GSL_error is indirectly thrown if memory allocation |
---|
94 | fails. |
---|
95 | */ |
---|
96 | matrix(const matrix&); |
---|
97 | |
---|
98 | /** |
---|
99 | \brief The matrix view constructor. |
---|
100 | |
---|
101 | Create a view of matrix \a m, with starting row \a offset_row, |
---|
102 | starting column \a offset_column, row size \a n_row, and column |
---|
103 | size \a n_column. |
---|
104 | |
---|
105 | A matrix view can be used as any matrix with the difference |
---|
106 | that changes made to the view will also change the object that |
---|
107 | is viewed. Also, using the copy constructor will create a new |
---|
108 | matrix object that is a copy of whatever is viewed. If a copy |
---|
109 | of the view is needed then you should use this constructor to |
---|
110 | obtain a copy. |
---|
111 | |
---|
112 | \note If the object viewed by the view goes out of scope or is |
---|
113 | deleted, the view becomes invalid and the result of further use |
---|
114 | is undefined. |
---|
115 | |
---|
116 | \throw GSL_error if a view cannot be set up. |
---|
117 | */ |
---|
118 | matrix(matrix& m, size_t offset_row, size_t offset_column, size_t n_row, |
---|
119 | size_t n_column); |
---|
120 | |
---|
121 | /** |
---|
122 | \brief The istream constructor. |
---|
123 | |
---|
124 | Matrix rows are sepearated with the new line character, and |
---|
125 | column elements in a row must be separated either with white |
---|
126 | space characters except the new line (\\n) character (default), |
---|
127 | or by the delimiter \a sep. Rows, and columns, are read |
---|
128 | consecutively and only rectangular matrices are |
---|
129 | supported. Empty lines are ignored. End of input is at end of |
---|
130 | file marker. |
---|
131 | |
---|
132 | \throw GSL_error if memory allocation fails, IO_error if |
---|
133 | unexpected input is found in the input stream. |
---|
134 | */ |
---|
135 | explicit matrix(std::istream &, char sep='\0') |
---|
136 | throw(utility::IO_error, std::exception); |
---|
137 | |
---|
138 | /** |
---|
139 | \brief The destructor. |
---|
140 | */ |
---|
141 | ~matrix(void); |
---|
142 | |
---|
143 | /** |
---|
144 | \brief Make a copy of \a other. |
---|
145 | |
---|
146 | This function will make a deep copy of \a other. Memory is |
---|
147 | resized and view state is changed to same as in other. |
---|
148 | */ |
---|
149 | const matrix& clone(const matrix& other); |
---|
150 | |
---|
151 | /// |
---|
152 | /// @return The number of columns in the matrix. |
---|
153 | /// |
---|
154 | size_t columns(void) const; |
---|
155 | |
---|
156 | /** |
---|
157 | Elementwise division of the elemnts of the calling matrix by |
---|
158 | the elements of matrix \a b, \f$ a_{ij} = a_{ij} / b_{ij} \; |
---|
159 | \forall i,j \f$. The result is stored into the calling matrix. |
---|
160 | |
---|
161 | \throw GSL_error if dimensions mis-match. |
---|
162 | */ |
---|
163 | void div(const matrix& b); |
---|
164 | |
---|
165 | /** |
---|
166 | \brief Check whether matrices are equal within a user defined |
---|
167 | precision, set by \a precision. |
---|
168 | |
---|
169 | \return True if each element deviates less or equal than \a |
---|
170 | d. If any matrix contain a NaN, false is always returned. |
---|
171 | |
---|
172 | \see operator== and operator!= |
---|
173 | */ |
---|
174 | bool equal(const matrix&, const double precision=0) const; |
---|
175 | |
---|
176 | /// |
---|
177 | /// @return A const pointer to the internal GSL matrix. |
---|
178 | /// |
---|
179 | const gsl_matrix* gsl_matrix_p(void) const; |
---|
180 | |
---|
181 | /// |
---|
182 | /// @return A pointer to the internal GSL matrix. |
---|
183 | /// |
---|
184 | gsl_matrix* gsl_matrix_p(void); |
---|
185 | |
---|
186 | /// |
---|
187 | /// @brief Check if the matrix object is a view (sub-matrix) to |
---|
188 | /// another matrix. |
---|
189 | /// |
---|
190 | /// @return True if the object is a view, false othwerwise. |
---|
191 | /// |
---|
192 | bool isview(void) const; |
---|
193 | |
---|
194 | /** |
---|
195 | Multiply the elements of matrix \a b with the elements of the |
---|
196 | calling matrix ,\f$ a_{ij} = a_{ij} * b_{ij} \; \forall i,j |
---|
197 | \f$. The result is stored into the calling matrix. |
---|
198 | |
---|
199 | \throw GSL_error if dimensions mis-match. |
---|
200 | */ |
---|
201 | void mul(const matrix& b); |
---|
202 | |
---|
203 | /** |
---|
204 | \brief Resize matrix |
---|
205 | |
---|
206 | All elements are set to @a init_value. |
---|
207 | |
---|
208 | \note underlying GSL matrix is destroyed and a view into this |
---|
209 | matrix becomes invalid. |
---|
210 | */ |
---|
211 | void resize(size_t, size_t, double init_value=0); |
---|
212 | |
---|
213 | /// |
---|
214 | /// @return The number of rows in the matrix. |
---|
215 | /// |
---|
216 | size_t rows(void) const; |
---|
217 | |
---|
218 | /// |
---|
219 | /// Set all elements to \a value. |
---|
220 | /// |
---|
221 | void all(const double value); |
---|
222 | |
---|
223 | /** |
---|
224 | \brief Set \a column values to values in \a vec. |
---|
225 | |
---|
226 | \note No check on size is done. |
---|
227 | |
---|
228 | \throw GSL_error if index is out of range or mis-match in |
---|
229 | sizes. |
---|
230 | */ |
---|
231 | void column(const size_t column, const vector& vec); |
---|
232 | |
---|
233 | /** |
---|
234 | \brief Set \a row values to values in \a vec. |
---|
235 | |
---|
236 | \note No check on size is done. |
---|
237 | |
---|
238 | \throw GSL_error if index is out of range or mis-match in |
---|
239 | sizes. |
---|
240 | */ |
---|
241 | void row(const size_t row, const vector& vec); |
---|
242 | |
---|
243 | /** |
---|
244 | \brief Swap columns \a i and \a j. |
---|
245 | |
---|
246 | \throw GSL_error if either index is out of bounds. |
---|
247 | */ |
---|
248 | void swap_columns(const size_t i,const size_t j); |
---|
249 | |
---|
250 | /** |
---|
251 | \brief Swap row \a i and column \a j. |
---|
252 | |
---|
253 | The matrix must be square. |
---|
254 | |
---|
255 | \throw GSL_error if either index is out of bounds, or if matrix |
---|
256 | is not square. |
---|
257 | */ |
---|
258 | void swap_rowcol(const size_t i,const size_t j); |
---|
259 | |
---|
260 | /** |
---|
261 | \brief Swap rows \a i and \a j. |
---|
262 | |
---|
263 | \throw GSL_error if either index is out of bounds. |
---|
264 | */ |
---|
265 | void swap_rows(const size_t i, const size_t j); |
---|
266 | |
---|
267 | /** |
---|
268 | \brief Transpose the matrix. |
---|
269 | |
---|
270 | \throw GSL_error if memory allocation fails for the new |
---|
271 | transposed matrix. |
---|
272 | */ |
---|
273 | void transpose(void); |
---|
274 | |
---|
275 | /** |
---|
276 | \brief Element access operator. |
---|
277 | |
---|
278 | \return Reference to the element position (\a row, \a column). |
---|
279 | |
---|
280 | \throw If GSL range checks are enabled in the underlying GSL |
---|
281 | library a GSL_error exception is thrown if either index is out |
---|
282 | of range. |
---|
283 | */ |
---|
284 | double& operator()(size_t row,size_t column); |
---|
285 | |
---|
286 | /** |
---|
287 | \brief Element access operator. |
---|
288 | |
---|
289 | \return Const reference to the element position (\a row, \a |
---|
290 | column). |
---|
291 | |
---|
292 | \throw If GSL range checks are enabled in the underlying GSL |
---|
293 | library a GSL_error exception is thrown if either index is out |
---|
294 | of range. |
---|
295 | */ |
---|
296 | const double& operator()(size_t row,size_t column) const; |
---|
297 | |
---|
298 | /** |
---|
299 | \brief Comparison operator. Takes squared time. |
---|
300 | |
---|
301 | Checks are performed with exact matching, i.e., rounding off |
---|
302 | effects may destroy comparison. Use the equal function for |
---|
303 | comparing elements within a user defined precision. |
---|
304 | |
---|
305 | \return True if all elements are equal otherwise false. |
---|
306 | |
---|
307 | \see equal |
---|
308 | */ |
---|
309 | bool operator==(const matrix& other) const; |
---|
310 | |
---|
311 | /** |
---|
312 | \brief Comparison operator. Takes squared time. |
---|
313 | |
---|
314 | Checks are performed with exact matching, i.e., rounding off |
---|
315 | effects may destroy comparison. Use the equal function for |
---|
316 | comparing elements within a user defined precision. |
---|
317 | |
---|
318 | \return False if all elements are equal otherwise true. |
---|
319 | |
---|
320 | \see equal |
---|
321 | */ |
---|
322 | bool operator!=(const matrix& other) const; |
---|
323 | |
---|
324 | /** |
---|
325 | \brief The assignment operator. |
---|
326 | |
---|
327 | Dimensions of the matrices must match. If the LHS matrix is a |
---|
328 | view, the underlying data will be changed. |
---|
329 | |
---|
330 | \return A const reference to the resulting matrix. |
---|
331 | |
---|
332 | \see void set(const matrix&). |
---|
333 | |
---|
334 | \throw GSL_error if dimensions mis-match. |
---|
335 | */ |
---|
336 | const matrix& operator=(const matrix& other); |
---|
337 | |
---|
338 | /** |
---|
339 | \brief Add and assign operator. |
---|
340 | |
---|
341 | Elementwise addition of the elements of matrix \a b to the left |
---|
342 | hand side matrix ,\f$ a_{ij} = a_{ij} + b_{ij} \; \forall i,j |
---|
343 | \f$. |
---|
344 | |
---|
345 | \return A const reference to the resulting matrix. |
---|
346 | |
---|
347 | \throw GSL_error if dimensions mis-match. |
---|
348 | */ |
---|
349 | const matrix& operator+=(const matrix& b); |
---|
350 | |
---|
351 | /** |
---|
352 | \brief Add and assign operator |
---|
353 | |
---|
354 | Add the scalar value \a d to the left hand side matrix, \f$ |
---|
355 | a_{ij} = a_{ij} + d \; \forall i,j \f$. |
---|
356 | */ |
---|
357 | const matrix& operator+=(const double d); |
---|
358 | |
---|
359 | /** |
---|
360 | \brief Subtract and assign operator. |
---|
361 | |
---|
362 | Elementwise subtraction of the elements of matrix \a b to the |
---|
363 | left hand side matrix ,\f$ a_{ij} = a_{ij} + b_{ij} \; \forall |
---|
364 | i,j \f$. |
---|
365 | |
---|
366 | \return A const reference to the resulting matrix. |
---|
367 | |
---|
368 | \throw GSL_error if dimensions mis-match. |
---|
369 | */ |
---|
370 | const matrix& operator-=(const matrix&); |
---|
371 | |
---|
372 | /** |
---|
373 | \brief Subtract and assign operator |
---|
374 | |
---|
375 | Subtract the scalar value \a d to the left hand side matrix, |
---|
376 | \f$ a_{ij} = a_{ij} + d \; \forall i,j \f$. |
---|
377 | */ |
---|
378 | const matrix& operator-=(const double d); |
---|
379 | |
---|
380 | /** |
---|
381 | \brief Multiply and assigment operator. |
---|
382 | |
---|
383 | \return Const reference to the resulting matrix. |
---|
384 | |
---|
385 | \throw GSL_error if memory allocation fails. |
---|
386 | */ |
---|
387 | const matrix& operator*=(const matrix&); |
---|
388 | |
---|
389 | /** |
---|
390 | \brief Multiply and assignment operator |
---|
391 | |
---|
392 | Multiply the elements of the left hand side matrix with a |
---|
393 | scalar \a d, \f$ a_{ij} = d * a_{ij} \; \forall i,j \f$. |
---|
394 | |
---|
395 | \throw GSL_error if memory allocation fails. |
---|
396 | */ |
---|
397 | const matrix& operator*=(double d); |
---|
398 | |
---|
399 | private: |
---|
400 | |
---|
401 | /** |
---|
402 | \brief Create a new copy of the internal GSL matrix. |
---|
403 | |
---|
404 | Necessary memory for the new GSL matrix is allocated and the |
---|
405 | caller is responsible for freeing the allocated memory. |
---|
406 | |
---|
407 | \return A pointer to a copy of the internal GSL matrix. |
---|
408 | |
---|
409 | \throw GSL_error if memory cannot be allocated for the new |
---|
410 | copy, or if dimensions mis-match. |
---|
411 | */ |
---|
412 | gsl_matrix* create_gsl_matrix_copy(void) const; |
---|
413 | |
---|
414 | /** |
---|
415 | \brief Clear all dynamically allocated memory. |
---|
416 | |
---|
417 | Internal utility function. |
---|
418 | */ |
---|
419 | void delete_allocated_memory(void); |
---|
420 | |
---|
421 | // blas_result_ is used to temporarily store result in BLAS calls |
---|
422 | // and when not NULL it should always have the same size as |
---|
423 | // m_. Memory is not allocated for blas_result_ until it is |
---|
424 | // needed. |
---|
425 | gsl_matrix* blas_result_; |
---|
426 | gsl_matrix* m_; |
---|
427 | gsl_matrix_view* view_; |
---|
428 | const gsl_matrix_const_view* view_const_; |
---|
429 | // proxy_m_ is used to access the proper underlying gsl_matrix in |
---|
430 | // all const member functions. It is not used by design for |
---|
431 | // non-const vector functions and operators. This is to make sure |
---|
432 | // that runtime errors occur if a const matrix is used in an |
---|
433 | // inappropriate manner such as on left hand side in assignment |
---|
434 | // (remember, m_ is null for const matrix views). |
---|
435 | const gsl_matrix* proxy_m_; |
---|
436 | }; |
---|
437 | |
---|
438 | /** |
---|
439 | \brief Check if all elements of the matrix are zero. |
---|
440 | |
---|
441 | \return True if all elements in the matrix is zero, false |
---|
442 | othwerwise. |
---|
443 | */ |
---|
444 | bool isnull(const matrix&); |
---|
445 | |
---|
446 | /** |
---|
447 | \brief Get the maximum value of the matrix. |
---|
448 | |
---|
449 | \return The maximum value of the matrix. |
---|
450 | */ |
---|
451 | double max(const matrix&); |
---|
452 | |
---|
453 | /** |
---|
454 | \brief Get the minimum value of the matrix. |
---|
455 | |
---|
456 | \return The minimum value of the matrix. |
---|
457 | */ |
---|
458 | double min(const matrix&); |
---|
459 | |
---|
460 | /** |
---|
461 | \brief Locate the maximum and minumum element in the matrix. |
---|
462 | |
---|
463 | \return The indecies to the element with the minimum and maximum |
---|
464 | values of the matrix, respectively. |
---|
465 | |
---|
466 | \note Lower index has precedence (searching in row-major order). |
---|
467 | */ |
---|
468 | void minmax_index(const matrix&, |
---|
469 | std::pair<size_t,size_t>& min, |
---|
470 | std::pair<size_t,size_t>& max); |
---|
471 | |
---|
472 | /** |
---|
473 | \brief Create a matrix \a flag indicating NaN's in another matrix |
---|
474 | \a templat. |
---|
475 | |
---|
476 | The \a flag matrix is changed to contain 1's and 0's only. A 1 |
---|
477 | means that the corresponding element in the \a templat matrix is |
---|
478 | valid and a zero means that the corresponding element is a NaN. |
---|
479 | |
---|
480 | \note Space for matrix \a flag is reallocated to fit the size of |
---|
481 | matrix \a templat if sizes mismatch. |
---|
482 | |
---|
483 | \return True if the \a templat matrix contains at least one NaN. |
---|
484 | */ |
---|
485 | bool nan(const matrix& templat, matrix& flag); |
---|
486 | |
---|
487 | /** |
---|
488 | \brief Exchange all elements between the matrices by copying. |
---|
489 | |
---|
490 | The two matrices must have the same size. |
---|
491 | |
---|
492 | \throw GSL_error if either index is out of bounds. |
---|
493 | */ |
---|
494 | void swap(matrix&, matrix&); |
---|
495 | |
---|
496 | /** |
---|
497 | \brief The output operator for the matrix class. |
---|
498 | */ |
---|
499 | std::ostream& operator<< (std::ostream& s, const matrix&); |
---|
500 | |
---|
501 | /** |
---|
502 | \brief vector matrix multiplication |
---|
503 | */ |
---|
504 | vector operator*(const matrix&, const vector&); |
---|
505 | |
---|
506 | /** |
---|
507 | \brief matrix vector multiplication |
---|
508 | */ |
---|
509 | vector operator*(const vector&, const matrix&); |
---|
510 | |
---|
511 | }}} // of namespace utility, yat, and theplu |
---|
512 | |
---|
513 | #endif |
---|