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1 | // |
2 | // Copyright (c) 2000-2002 | |
3 | // Joerg Walter, Mathias Koch | |
4 | // | |
5 | // Distributed under the Boost Software License, Version 1.0. (See | |
6 | // accompanying file LICENSE_1_0.txt or copy at | |
7 | // http://www.boost.org/LICENSE_1_0.txt) | |
8 | // | |
9 | // The authors gratefully acknowledge the support of | |
10 | // GeNeSys mbH & Co. KG in producing this work. | |
11 | // | |
12 | ||
13 | #ifndef _BOOST_UBLAS_TRIANGULAR_ | |
14 | #define _BOOST_UBLAS_TRIANGULAR_ | |
15 | ||
16 | #include <boost/numeric/ublas/matrix.hpp> | |
17 | #include <boost/numeric/ublas/detail/temporary.hpp> | |
18 | #include <boost/type_traits/remove_const.hpp> | |
19 | ||
20 | // Iterators based on ideas of Jeremy Siek | |
21 | ||
22 | namespace boost { namespace numeric { namespace ublas { | |
23 | ||
24 | namespace detail { | |
25 | using namespace boost::numeric::ublas; | |
26 | ||
27 | // Matrix resizing algorithm | |
28 | template <class L, class T, class M> | |
29 | BOOST_UBLAS_INLINE | |
30 | void matrix_resize_preserve (M& m, M& temporary) { | |
31 | typedef L layout_type; | |
32 | typedef T triangular_type; | |
33 | typedef typename M::size_type size_type; | |
34 | const size_type msize1 (m.size1 ()); // original size | |
35 | const size_type msize2 (m.size2 ()); | |
36 | const size_type size1 (temporary.size1 ()); // new size is specified by temporary | |
37 | const size_type size2 (temporary.size2 ()); | |
38 | // Common elements to preserve | |
39 | const size_type size1_min = (std::min) (size1, msize1); | |
40 | const size_type size2_min = (std::min) (size2, msize2); | |
41 | // Order for major and minor sizes | |
42 | const size_type major_size = layout_type::size_M (size1_min, size2_min); | |
43 | const size_type minor_size = layout_type::size_m (size1_min, size2_min); | |
44 | // Indexing copy over major | |
45 | for (size_type major = 0; major != major_size; ++major) { | |
46 | for (size_type minor = 0; minor != minor_size; ++minor) { | |
47 | // find indexes - use invertability of element_ functions | |
48 | const size_type i1 = layout_type::index_M(major, minor); | |
49 | const size_type i2 = layout_type::index_m(major, minor); | |
50 | if ( triangular_type::other(i1,i2) ) { | |
51 | temporary.data () [triangular_type::element (layout_type (), i1, size1, i2, size2)] = | |
52 | m.data() [triangular_type::element (layout_type (), i1, msize1, i2, msize2)]; | |
53 | } | |
54 | } | |
55 | } | |
56 | m.assign_temporary (temporary); | |
57 | } | |
58 | } | |
59 | ||
60 | /** \brief A triangular matrix of values of type \c T. | |
61 | * | |
62 | * For a \f$(n \times n )\f$-dimensional lower triangular matrix and if \f$0 \leq i < n\f$, \f$0 \leq j < n\f$ and \f$i>j\f$ holds, | |
63 | * \f$m_{i,j}=0\f$. Furthermore if \f$m_{i,i}=1\f$, the matrix is called unit lower triangular. | |
64 | * | |
65 | * For a \f$(n \times n )\f$-dimensional upper triangular matrix and if \f$0 \leq i < n\f$, \f$0 \leq j < n\f$ and \f$i<j\f$ holds, | |
66 | * \f$m_{i,j}=0\f$. Furthermore if \f$m_{i,i}=1\f$, the matrix is called unit upper triangular. | |
67 | * | |
68 | * The default storage for triangular matrices is packed. Orientation and storage can also be specified. | |
69 | * Default is \c row_major and and unbounded_array. It is \b not required by the storage to initialize | |
70 | * elements of the matrix. | |
71 | * | |
72 | * \tparam T the type of object stored in the matrix (like double, float, complex, etc...) | |
73 | * \tparam TRI the type of the triangular matrix. It can either be \c lower or \c upper. Default is \c lower | |
74 | * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major | |
75 | * \tparam A the type of Storage array. Default is \c unbounded_array | |
76 | */ | |
77 | template<class T, class TRI, class L, class A> | |
78 | class triangular_matrix: | |
79 | public matrix_container<triangular_matrix<T, TRI, L, A> > { | |
80 | ||
81 | typedef T *pointer; | |
82 | typedef TRI triangular_type; | |
83 | typedef L layout_type; | |
84 | typedef triangular_matrix<T, TRI, L, A> self_type; | |
85 | public: | |
86 | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS | |
87 | using matrix_container<self_type>::operator (); | |
88 | #endif | |
89 | typedef typename A::size_type size_type; | |
90 | typedef typename A::difference_type difference_type; | |
91 | typedef T value_type; | |
92 | typedef const T &const_reference; | |
93 | typedef T &reference; | |
94 | typedef A array_type; | |
95 | ||
96 | typedef const matrix_reference<const self_type> const_closure_type; | |
97 | typedef matrix_reference<self_type> closure_type; | |
98 | typedef vector<T, A> vector_temporary_type; | |
99 | typedef matrix<T, L, A> matrix_temporary_type; // general sub-matrix | |
100 | typedef packed_tag storage_category; | |
101 | typedef typename L::orientation_category orientation_category; | |
102 | ||
103 | // Construction and destruction | |
104 | BOOST_UBLAS_INLINE | |
105 | triangular_matrix (): | |
106 | matrix_container<self_type> (), | |
107 | size1_ (0), size2_ (0), data_ (0) {} | |
108 | BOOST_UBLAS_INLINE | |
109 | triangular_matrix (size_type size1, size_type size2): | |
110 | matrix_container<self_type> (), | |
111 | size1_ (size1), size2_ (size2), data_ (triangular_type::packed_size (layout_type (), size1, size2)) { | |
112 | } | |
113 | BOOST_UBLAS_INLINE | |
114 | triangular_matrix (size_type size1, size_type size2, const array_type &data): | |
115 | matrix_container<self_type> (), | |
116 | size1_ (size1), size2_ (size2), data_ (data) {} | |
117 | BOOST_UBLAS_INLINE | |
118 | triangular_matrix (const triangular_matrix &m): | |
119 | matrix_container<self_type> (), | |
120 | size1_ (m.size1_), size2_ (m.size2_), data_ (m.data_) {} | |
121 | template<class AE> | |
122 | BOOST_UBLAS_INLINE | |
123 | triangular_matrix (const matrix_expression<AE> &ae): | |
124 | matrix_container<self_type> (), | |
125 | size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), | |
126 | data_ (triangular_type::packed_size (layout_type (), size1_, size2_)) { | |
127 | matrix_assign<scalar_assign> (*this, ae); | |
128 | } | |
129 | ||
130 | // Accessors | |
131 | BOOST_UBLAS_INLINE | |
132 | size_type size1 () const { | |
133 | return size1_; | |
134 | } | |
135 | BOOST_UBLAS_INLINE | |
136 | size_type size2 () const { | |
137 | return size2_; | |
138 | } | |
139 | ||
140 | // Storage accessors | |
141 | BOOST_UBLAS_INLINE | |
142 | const array_type &data () const { | |
143 | return data_; | |
144 | } | |
145 | BOOST_UBLAS_INLINE | |
146 | array_type &data () { | |
147 | return data_; | |
148 | } | |
149 | ||
150 | // Resizing | |
151 | BOOST_UBLAS_INLINE | |
152 | void resize (size_type size1, size_type size2, bool preserve = true) { | |
153 | if (preserve) { | |
154 | self_type temporary (size1, size2); | |
155 | detail::matrix_resize_preserve<layout_type, triangular_type> (*this, temporary); | |
156 | } | |
157 | else { | |
158 | data ().resize (triangular_type::packed_size (layout_type (), size1, size2)); | |
159 | size1_ = size1; | |
160 | size2_ = size2; | |
161 | } | |
162 | } | |
163 | BOOST_UBLAS_INLINE | |
164 | void resize_packed_preserve (size_type size1, size_type size2) { | |
165 | size1_ = size1; | |
166 | size2_ = size2; | |
167 | data ().resize (triangular_type::packed_size (layout_type (), size1_, size2_), value_type ()); | |
168 | } | |
169 | ||
170 | // Element access | |
171 | BOOST_UBLAS_INLINE | |
172 | const_reference operator () (size_type i, size_type j) const { | |
173 | BOOST_UBLAS_CHECK (i < size1_, bad_index ()); | |
174 | BOOST_UBLAS_CHECK (j < size2_, bad_index ()); | |
175 | if (triangular_type::other (i, j)) | |
176 | return data () [triangular_type::element (layout_type (), i, size1_, j, size2_)]; | |
177 | else if (triangular_type::one (i, j)) | |
178 | return one_; | |
179 | else | |
180 | return zero_; | |
181 | } | |
182 | BOOST_UBLAS_INLINE | |
183 | reference at_element (size_type i, size_type j) { | |
184 | BOOST_UBLAS_CHECK (i < size1_, bad_index ()); | |
185 | BOOST_UBLAS_CHECK (j < size2_, bad_index ()); | |
186 | return data () [triangular_type::element (layout_type (), i, size1_, j, size2_)]; | |
187 | } | |
188 | BOOST_UBLAS_INLINE | |
189 | reference operator () (size_type i, size_type j) { | |
190 | BOOST_UBLAS_CHECK (i < size1_, bad_index ()); | |
191 | BOOST_UBLAS_CHECK (j < size2_, bad_index ()); | |
192 | if (!triangular_type::other (i, j)) { | |
193 | bad_index ().raise (); | |
194 | // NEVER reached | |
195 | } | |
196 | return data () [triangular_type::element (layout_type (), i, size1_, j, size2_)]; | |
197 | } | |
198 | ||
199 | // Element assignment | |
200 | BOOST_UBLAS_INLINE | |
201 | reference insert_element (size_type i, size_type j, const_reference t) { | |
202 | return (operator () (i, j) = t); | |
203 | } | |
204 | BOOST_UBLAS_INLINE | |
205 | void erase_element (size_type i, size_type j) { | |
206 | operator () (i, j) = value_type/*zero*/(); | |
207 | } | |
208 | ||
209 | // Zeroing | |
210 | BOOST_UBLAS_INLINE | |
211 | void clear () { | |
212 | // data ().clear (); | |
213 | std::fill (data ().begin (), data ().end (), value_type/*zero*/()); | |
214 | } | |
215 | ||
216 | // Assignment | |
217 | BOOST_UBLAS_INLINE | |
218 | triangular_matrix &operator = (const triangular_matrix &m) { | |
219 | size1_ = m.size1_; | |
220 | size2_ = m.size2_; | |
221 | data () = m.data (); | |
222 | return *this; | |
223 | } | |
224 | BOOST_UBLAS_INLINE | |
225 | triangular_matrix &assign_temporary (triangular_matrix &m) { | |
226 | swap (m); | |
227 | return *this; | |
228 | } | |
229 | template<class AE> | |
230 | BOOST_UBLAS_INLINE | |
231 | triangular_matrix &operator = (const matrix_expression<AE> &ae) { | |
232 | self_type temporary (ae); | |
233 | return assign_temporary (temporary); | |
234 | } | |
235 | template<class AE> | |
236 | BOOST_UBLAS_INLINE | |
237 | triangular_matrix &assign (const matrix_expression<AE> &ae) { | |
238 | matrix_assign<scalar_assign> (*this, ae); | |
239 | return *this; | |
240 | } | |
241 | template<class AE> | |
242 | BOOST_UBLAS_INLINE | |
243 | triangular_matrix& operator += (const matrix_expression<AE> &ae) { | |
244 | self_type temporary (*this + ae); | |
245 | return assign_temporary (temporary); | |
246 | } | |
247 | template<class AE> | |
248 | BOOST_UBLAS_INLINE | |
249 | triangular_matrix &plus_assign (const matrix_expression<AE> &ae) { | |
250 | matrix_assign<scalar_plus_assign> (*this, ae); | |
251 | return *this; | |
252 | } | |
253 | template<class AE> | |
254 | BOOST_UBLAS_INLINE | |
255 | triangular_matrix& operator -= (const matrix_expression<AE> &ae) { | |
256 | self_type temporary (*this - ae); | |
257 | return assign_temporary (temporary); | |
258 | } | |
259 | template<class AE> | |
260 | BOOST_UBLAS_INLINE | |
261 | triangular_matrix &minus_assign (const matrix_expression<AE> &ae) { | |
262 | matrix_assign<scalar_minus_assign> (*this, ae); | |
263 | return *this; | |
264 | } | |
265 | template<class AT> | |
266 | BOOST_UBLAS_INLINE | |
267 | triangular_matrix& operator *= (const AT &at) { | |
268 | matrix_assign_scalar<scalar_multiplies_assign> (*this, at); | |
269 | return *this; | |
270 | } | |
271 | template<class AT> | |
272 | BOOST_UBLAS_INLINE | |
273 | triangular_matrix& operator /= (const AT &at) { | |
274 | matrix_assign_scalar<scalar_divides_assign> (*this, at); | |
275 | return *this; | |
276 | } | |
277 | ||
278 | // Swapping | |
279 | BOOST_UBLAS_INLINE | |
280 | void swap (triangular_matrix &m) { | |
281 | if (this != &m) { | |
282 | // BOOST_UBLAS_CHECK (size2_ == m.size2_, bad_size ()); | |
283 | std::swap (size1_, m.size1_); | |
284 | std::swap (size2_, m.size2_); | |
285 | data ().swap (m.data ()); | |
286 | } | |
287 | } | |
288 | BOOST_UBLAS_INLINE | |
289 | friend void swap (triangular_matrix &m1, triangular_matrix &m2) { | |
290 | m1.swap (m2); | |
291 | } | |
292 | ||
293 | // Iterator types | |
294 | #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
295 | typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1; | |
296 | typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2; | |
297 | typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1; | |
298 | typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2; | |
299 | #else | |
300 | class const_iterator1; | |
301 | class iterator1; | |
302 | class const_iterator2; | |
303 | class iterator2; | |
304 | #endif | |
305 | typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1; | |
306 | typedef reverse_iterator_base1<iterator1> reverse_iterator1; | |
307 | typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2; | |
308 | typedef reverse_iterator_base2<iterator2> reverse_iterator2; | |
309 | ||
310 | // Element lookup | |
311 | BOOST_UBLAS_INLINE | |
312 | const_iterator1 find1 (int rank, size_type i, size_type j) const { | |
313 | if (rank == 1) | |
314 | i = triangular_type::restrict1 (i, j, size1_, size2_); | |
315 | if (rank == 0) | |
316 | i = triangular_type::global_restrict1 (i, size1_, j, size2_); | |
317 | return const_iterator1 (*this, i, j); | |
318 | } | |
319 | BOOST_UBLAS_INLINE | |
320 | iterator1 find1 (int rank, size_type i, size_type j) { | |
321 | if (rank == 1) | |
322 | i = triangular_type::mutable_restrict1 (i, j, size1_, size2_); | |
323 | if (rank == 0) | |
324 | i = triangular_type::global_mutable_restrict1 (i, size1_, j, size2_); | |
325 | return iterator1 (*this, i, j); | |
326 | } | |
327 | BOOST_UBLAS_INLINE | |
328 | const_iterator2 find2 (int rank, size_type i, size_type j) const { | |
329 | if (rank == 1) | |
330 | j = triangular_type::restrict2 (i, j, size1_, size2_); | |
331 | if (rank == 0) | |
332 | j = triangular_type::global_restrict2 (i, size1_, j, size2_); | |
333 | return const_iterator2 (*this, i, j); | |
334 | } | |
335 | BOOST_UBLAS_INLINE | |
336 | iterator2 find2 (int rank, size_type i, size_type j) { | |
337 | if (rank == 1) | |
338 | j = triangular_type::mutable_restrict2 (i, j, size1_, size2_); | |
339 | if (rank == 0) | |
340 | j = triangular_type::global_mutable_restrict2 (i, size1_, j, size2_); | |
341 | return iterator2 (*this, i, j); | |
342 | } | |
343 | ||
344 | // Iterators simply are indices. | |
345 | ||
346 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
347 | class const_iterator1: | |
348 | public container_const_reference<triangular_matrix>, | |
349 | public random_access_iterator_base<packed_random_access_iterator_tag, | |
350 | const_iterator1, value_type> { | |
351 | public: | |
352 | typedef typename triangular_matrix::value_type value_type; | |
353 | typedef typename triangular_matrix::difference_type difference_type; | |
354 | typedef typename triangular_matrix::const_reference reference; | |
355 | typedef const typename triangular_matrix::pointer pointer; | |
356 | ||
357 | typedef const_iterator2 dual_iterator_type; | |
358 | typedef const_reverse_iterator2 dual_reverse_iterator_type; | |
359 | ||
360 | // Construction and destruction | |
361 | BOOST_UBLAS_INLINE | |
362 | const_iterator1 (): | |
363 | container_const_reference<self_type> (), it1_ (), it2_ () {} | |
364 | BOOST_UBLAS_INLINE | |
365 | const_iterator1 (const self_type &m, size_type it1, size_type it2): | |
366 | container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {} | |
367 | BOOST_UBLAS_INLINE | |
368 | const_iterator1 (const iterator1 &it): | |
369 | container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {} | |
370 | ||
371 | // Arithmetic | |
372 | BOOST_UBLAS_INLINE | |
373 | const_iterator1 &operator ++ () { | |
374 | ++ it1_; | |
375 | return *this; | |
376 | } | |
377 | BOOST_UBLAS_INLINE | |
378 | const_iterator1 &operator -- () { | |
379 | -- it1_; | |
380 | return *this; | |
381 | } | |
382 | BOOST_UBLAS_INLINE | |
383 | const_iterator1 &operator += (difference_type n) { | |
384 | it1_ += n; | |
385 | return *this; | |
386 | } | |
387 | BOOST_UBLAS_INLINE | |
388 | const_iterator1 &operator -= (difference_type n) { | |
389 | it1_ -= n; | |
390 | return *this; | |
391 | } | |
392 | BOOST_UBLAS_INLINE | |
393 | difference_type operator - (const const_iterator1 &it) const { | |
394 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
395 | BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); | |
396 | return it1_ - it.it1_; | |
397 | } | |
398 | ||
399 | // Dereference | |
400 | BOOST_UBLAS_INLINE | |
401 | const_reference operator * () const { | |
402 | return (*this) () (it1_, it2_); | |
403 | } | |
404 | BOOST_UBLAS_INLINE | |
405 | const_reference operator [] (difference_type n) const { | |
406 | return *(*this + n); | |
407 | } | |
408 | ||
409 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
410 | BOOST_UBLAS_INLINE | |
411 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
412 | typename self_type:: | |
413 | #endif | |
414 | const_iterator2 begin () const { | |
415 | return (*this) ().find2 (1, it1_, 0); | |
416 | } | |
417 | BOOST_UBLAS_INLINE | |
418 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
419 | typename self_type:: | |
420 | #endif | |
421 | const_iterator2 cbegin () const { | |
422 | return begin (); | |
423 | } | |
424 | BOOST_UBLAS_INLINE | |
425 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
426 | typename self_type:: | |
427 | #endif | |
428 | const_iterator2 end () const { | |
429 | return (*this) ().find2 (1, it1_, (*this) ().size2 ()); | |
430 | } | |
431 | BOOST_UBLAS_INLINE | |
432 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
433 | typename self_type:: | |
434 | #endif | |
435 | const_iterator2 cend () const { | |
436 | return end (); | |
437 | } | |
438 | BOOST_UBLAS_INLINE | |
439 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
440 | typename self_type:: | |
441 | #endif | |
442 | const_reverse_iterator2 rbegin () const { | |
443 | return const_reverse_iterator2 (end ()); | |
444 | } | |
445 | BOOST_UBLAS_INLINE | |
446 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
447 | typename self_type:: | |
448 | #endif | |
449 | const_reverse_iterator2 crbegin () const { | |
450 | return rbegin (); | |
451 | } | |
452 | BOOST_UBLAS_INLINE | |
453 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
454 | typename self_type:: | |
455 | #endif | |
456 | const_reverse_iterator2 rend () const { | |
457 | return const_reverse_iterator2 (begin ()); | |
458 | } | |
459 | BOOST_UBLAS_INLINE | |
460 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
461 | typename self_type:: | |
462 | #endif | |
463 | const_reverse_iterator2 crend () const { | |
464 | return rend (); | |
465 | } | |
466 | #endif | |
467 | ||
468 | // Indices | |
469 | BOOST_UBLAS_INLINE | |
470 | size_type index1 () const { | |
471 | return it1_; | |
472 | } | |
473 | BOOST_UBLAS_INLINE | |
474 | size_type index2 () const { | |
475 | return it2_; | |
476 | } | |
477 | ||
478 | // Assignment | |
479 | BOOST_UBLAS_INLINE | |
480 | const_iterator1 &operator = (const const_iterator1 &it) { | |
481 | container_const_reference<self_type>::assign (&it ()); | |
482 | it1_ = it.it1_; | |
483 | it2_ = it.it2_; | |
484 | return *this; | |
485 | } | |
486 | ||
487 | // Comparison | |
488 | BOOST_UBLAS_INLINE | |
489 | bool operator == (const const_iterator1 &it) const { | |
490 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
491 | BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); | |
492 | return it1_ == it.it1_; | |
493 | } | |
494 | BOOST_UBLAS_INLINE | |
495 | bool operator < (const const_iterator1 &it) const { | |
496 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
497 | BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); | |
498 | return it1_ < it.it1_; | |
499 | } | |
500 | ||
501 | private: | |
502 | size_type it1_; | |
503 | size_type it2_; | |
504 | }; | |
505 | #endif | |
506 | ||
507 | BOOST_UBLAS_INLINE | |
508 | const_iterator1 begin1 () const { | |
509 | return find1 (0, 0, 0); | |
510 | } | |
511 | BOOST_UBLAS_INLINE | |
512 | const_iterator1 cbegin1 () const { | |
513 | return begin1 (); | |
514 | } | |
515 | BOOST_UBLAS_INLINE | |
516 | const_iterator1 end1 () const { | |
517 | return find1 (0, size1_, 0); | |
518 | } | |
519 | BOOST_UBLAS_INLINE | |
520 | const_iterator1 cend1 () const { | |
521 | return end1 (); | |
522 | } | |
523 | ||
524 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
525 | class iterator1: | |
526 | public container_reference<triangular_matrix>, | |
527 | public random_access_iterator_base<packed_random_access_iterator_tag, | |
528 | iterator1, value_type> { | |
529 | public: | |
530 | typedef typename triangular_matrix::value_type value_type; | |
531 | typedef typename triangular_matrix::difference_type difference_type; | |
532 | typedef typename triangular_matrix::reference reference; | |
533 | typedef typename triangular_matrix::pointer pointer; | |
534 | ||
535 | typedef iterator2 dual_iterator_type; | |
536 | typedef reverse_iterator2 dual_reverse_iterator_type; | |
537 | ||
538 | // Construction and destruction | |
539 | BOOST_UBLAS_INLINE | |
540 | iterator1 (): | |
541 | container_reference<self_type> (), it1_ (), it2_ () {} | |
542 | BOOST_UBLAS_INLINE | |
543 | iterator1 (self_type &m, size_type it1, size_type it2): | |
544 | container_reference<self_type> (m), it1_ (it1), it2_ (it2) {} | |
545 | ||
546 | // Arithmetic | |
547 | BOOST_UBLAS_INLINE | |
548 | iterator1 &operator ++ () { | |
549 | ++ it1_; | |
550 | return *this; | |
551 | } | |
552 | BOOST_UBLAS_INLINE | |
553 | iterator1 &operator -- () { | |
554 | -- it1_; | |
555 | return *this; | |
556 | } | |
557 | BOOST_UBLAS_INLINE | |
558 | iterator1 &operator += (difference_type n) { | |
559 | it1_ += n; | |
560 | return *this; | |
561 | } | |
562 | BOOST_UBLAS_INLINE | |
563 | iterator1 &operator -= (difference_type n) { | |
564 | it1_ -= n; | |
565 | return *this; | |
566 | } | |
567 | BOOST_UBLAS_INLINE | |
568 | difference_type operator - (const iterator1 &it) const { | |
569 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
570 | BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); | |
571 | return it1_ - it.it1_; | |
572 | } | |
573 | ||
574 | // Dereference | |
575 | BOOST_UBLAS_INLINE | |
576 | reference operator * () const { | |
577 | return (*this) () (it1_, it2_); | |
578 | } | |
579 | BOOST_UBLAS_INLINE | |
580 | reference operator [] (difference_type n) const { | |
581 | return *(*this + n); | |
582 | } | |
583 | ||
584 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
585 | BOOST_UBLAS_INLINE | |
586 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
587 | typename self_type:: | |
588 | #endif | |
589 | iterator2 begin () const { | |
590 | return (*this) ().find2 (1, it1_, 0); | |
591 | } | |
592 | BOOST_UBLAS_INLINE | |
593 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
594 | typename self_type:: | |
595 | #endif | |
596 | iterator2 end () const { | |
597 | return (*this) ().find2 (1, it1_, (*this) ().size2 ()); | |
598 | } | |
599 | BOOST_UBLAS_INLINE | |
600 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
601 | typename self_type:: | |
602 | #endif | |
603 | reverse_iterator2 rbegin () const { | |
604 | return reverse_iterator2 (end ()); | |
605 | } | |
606 | BOOST_UBLAS_INLINE | |
607 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
608 | typename self_type:: | |
609 | #endif | |
610 | reverse_iterator2 rend () const { | |
611 | return reverse_iterator2 (begin ()); | |
612 | } | |
613 | #endif | |
614 | ||
615 | // Indices | |
616 | BOOST_UBLAS_INLINE | |
617 | size_type index1 () const { | |
618 | return it1_; | |
619 | } | |
620 | BOOST_UBLAS_INLINE | |
621 | size_type index2 () const { | |
622 | return it2_; | |
623 | } | |
624 | ||
625 | // Assignment | |
626 | BOOST_UBLAS_INLINE | |
627 | iterator1 &operator = (const iterator1 &it) { | |
628 | container_reference<self_type>::assign (&it ()); | |
629 | it1_ = it.it1_; | |
630 | it2_ = it.it2_; | |
631 | return *this; | |
632 | } | |
633 | ||
634 | // Comparison | |
635 | BOOST_UBLAS_INLINE | |
636 | bool operator == (const iterator1 &it) const { | |
637 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
638 | BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); | |
639 | return it1_ == it.it1_; | |
640 | } | |
641 | BOOST_UBLAS_INLINE | |
642 | bool operator < (const iterator1 &it) const { | |
643 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
644 | BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); | |
645 | return it1_ < it.it1_; | |
646 | } | |
647 | ||
648 | private: | |
649 | size_type it1_; | |
650 | size_type it2_; | |
651 | ||
652 | friend class const_iterator1; | |
653 | }; | |
654 | #endif | |
655 | ||
656 | BOOST_UBLAS_INLINE | |
657 | iterator1 begin1 () { | |
658 | return find1 (0, 0, 0); | |
659 | } | |
660 | BOOST_UBLAS_INLINE | |
661 | iterator1 end1 () { | |
662 | return find1 (0, size1_, 0); | |
663 | } | |
664 | ||
665 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
666 | class const_iterator2: | |
667 | public container_const_reference<triangular_matrix>, | |
668 | public random_access_iterator_base<packed_random_access_iterator_tag, | |
669 | const_iterator2, value_type> { | |
670 | public: | |
671 | typedef typename triangular_matrix::value_type value_type; | |
672 | typedef typename triangular_matrix::difference_type difference_type; | |
673 | typedef typename triangular_matrix::const_reference reference; | |
674 | typedef const typename triangular_matrix::pointer pointer; | |
675 | ||
676 | typedef const_iterator1 dual_iterator_type; | |
677 | typedef const_reverse_iterator1 dual_reverse_iterator_type; | |
678 | ||
679 | // Construction and destruction | |
680 | BOOST_UBLAS_INLINE | |
681 | const_iterator2 (): | |
682 | container_const_reference<self_type> (), it1_ (), it2_ () {} | |
683 | BOOST_UBLAS_INLINE | |
684 | const_iterator2 (const self_type &m, size_type it1, size_type it2): | |
685 | container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {} | |
686 | BOOST_UBLAS_INLINE | |
687 | const_iterator2 (const iterator2 &it): | |
688 | container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {} | |
689 | ||
690 | // Arithmetic | |
691 | BOOST_UBLAS_INLINE | |
692 | const_iterator2 &operator ++ () { | |
693 | ++ it2_; | |
694 | return *this; | |
695 | } | |
696 | BOOST_UBLAS_INLINE | |
697 | const_iterator2 &operator -- () { | |
698 | -- it2_; | |
699 | return *this; | |
700 | } | |
701 | BOOST_UBLAS_INLINE | |
702 | const_iterator2 &operator += (difference_type n) { | |
703 | it2_ += n; | |
704 | return *this; | |
705 | } | |
706 | BOOST_UBLAS_INLINE | |
707 | const_iterator2 &operator -= (difference_type n) { | |
708 | it2_ -= n; | |
709 | return *this; | |
710 | } | |
711 | BOOST_UBLAS_INLINE | |
712 | difference_type operator - (const const_iterator2 &it) const { | |
713 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
714 | BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); | |
715 | return it2_ - it.it2_; | |
716 | } | |
717 | ||
718 | // Dereference | |
719 | BOOST_UBLAS_INLINE | |
720 | const_reference operator * () const { | |
721 | return (*this) () (it1_, it2_); | |
722 | } | |
723 | BOOST_UBLAS_INLINE | |
724 | const_reference operator [] (difference_type n) const { | |
725 | return *(*this + n); | |
726 | } | |
727 | ||
728 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
729 | BOOST_UBLAS_INLINE | |
730 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
731 | typename self_type:: | |
732 | #endif | |
733 | const_iterator1 begin () const { | |
734 | return (*this) ().find1 (1, 0, it2_); | |
735 | } | |
736 | BOOST_UBLAS_INLINE | |
737 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
738 | typename self_type:: | |
739 | #endif | |
740 | const_iterator1 cbegin () const { | |
741 | return begin (); | |
742 | } | |
743 | BOOST_UBLAS_INLINE | |
744 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
745 | typename self_type:: | |
746 | #endif | |
747 | const_iterator1 end () const { | |
748 | return (*this) ().find1 (1, (*this) ().size1 (), it2_); | |
749 | } | |
750 | BOOST_UBLAS_INLINE | |
751 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
752 | typename self_type:: | |
753 | #endif | |
754 | const_iterator1 cend () const { | |
755 | return end (); | |
756 | } | |
757 | BOOST_UBLAS_INLINE | |
758 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
759 | typename self_type:: | |
760 | #endif | |
761 | const_reverse_iterator1 rbegin () const { | |
762 | return const_reverse_iterator1 (end ()); | |
763 | } | |
764 | BOOST_UBLAS_INLINE | |
765 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
766 | typename self_type:: | |
767 | #endif | |
768 | const_reverse_iterator1 crbegin () const { | |
769 | return rbegin (); | |
770 | } | |
771 | ||
772 | BOOST_UBLAS_INLINE | |
773 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
774 | typename self_type:: | |
775 | #endif | |
776 | const_reverse_iterator1 rend () const { | |
777 | return const_reverse_iterator1 (begin ()); | |
778 | } | |
779 | BOOST_UBLAS_INLINE | |
780 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
781 | typename self_type:: | |
782 | #endif | |
783 | const_reverse_iterator1 crend () const { | |
784 | return rend (); | |
785 | } | |
786 | #endif | |
787 | ||
788 | // Indices | |
789 | BOOST_UBLAS_INLINE | |
790 | size_type index1 () const { | |
791 | return it1_; | |
792 | } | |
793 | BOOST_UBLAS_INLINE | |
794 | size_type index2 () const { | |
795 | return it2_; | |
796 | } | |
797 | ||
798 | // Assignment | |
799 | BOOST_UBLAS_INLINE | |
800 | const_iterator2 &operator = (const const_iterator2 &it) { | |
801 | container_const_reference<self_type>::assign (&it ()); | |
802 | it1_ = it.it1_; | |
803 | it2_ = it.it2_; | |
804 | return *this; | |
805 | } | |
806 | ||
807 | // Comparison | |
808 | BOOST_UBLAS_INLINE | |
809 | bool operator == (const const_iterator2 &it) const { | |
810 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
811 | BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); | |
812 | return it2_ == it.it2_; | |
813 | } | |
814 | BOOST_UBLAS_INLINE | |
815 | bool operator < (const const_iterator2 &it) const { | |
816 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
817 | BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); | |
818 | return it2_ < it.it2_; | |
819 | } | |
820 | ||
821 | private: | |
822 | size_type it1_; | |
823 | size_type it2_; | |
824 | }; | |
825 | #endif | |
826 | ||
827 | BOOST_UBLAS_INLINE | |
828 | const_iterator2 begin2 () const { | |
829 | return find2 (0, 0, 0); | |
830 | } | |
831 | BOOST_UBLAS_INLINE | |
832 | const_iterator2 cbegin2 () const { | |
833 | return begin2 (); | |
834 | } | |
835 | BOOST_UBLAS_INLINE | |
836 | const_iterator2 end2 () const { | |
837 | return find2 (0, 0, size2_); | |
838 | } | |
839 | BOOST_UBLAS_INLINE | |
840 | const_iterator2 cend2 () const { | |
841 | return end2 (); | |
842 | } | |
843 | ||
844 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
845 | class iterator2: | |
846 | public container_reference<triangular_matrix>, | |
847 | public random_access_iterator_base<packed_random_access_iterator_tag, | |
848 | iterator2, value_type> { | |
849 | public: | |
850 | typedef typename triangular_matrix::value_type value_type; | |
851 | typedef typename triangular_matrix::difference_type difference_type; | |
852 | typedef typename triangular_matrix::reference reference; | |
853 | typedef typename triangular_matrix::pointer pointer; | |
854 | ||
855 | typedef iterator1 dual_iterator_type; | |
856 | typedef reverse_iterator1 dual_reverse_iterator_type; | |
857 | ||
858 | // Construction and destruction | |
859 | BOOST_UBLAS_INLINE | |
860 | iterator2 (): | |
861 | container_reference<self_type> (), it1_ (), it2_ () {} | |
862 | BOOST_UBLAS_INLINE | |
863 | iterator2 (self_type &m, size_type it1, size_type it2): | |
864 | container_reference<self_type> (m), it1_ (it1), it2_ (it2) {} | |
865 | ||
866 | // Arithmetic | |
867 | BOOST_UBLAS_INLINE | |
868 | iterator2 &operator ++ () { | |
869 | ++ it2_; | |
870 | return *this; | |
871 | } | |
872 | BOOST_UBLAS_INLINE | |
873 | iterator2 &operator -- () { | |
874 | -- it2_; | |
875 | return *this; | |
876 | } | |
877 | BOOST_UBLAS_INLINE | |
878 | iterator2 &operator += (difference_type n) { | |
879 | it2_ += n; | |
880 | return *this; | |
881 | } | |
882 | BOOST_UBLAS_INLINE | |
883 | iterator2 &operator -= (difference_type n) { | |
884 | it2_ -= n; | |
885 | return *this; | |
886 | } | |
887 | BOOST_UBLAS_INLINE | |
888 | difference_type operator - (const iterator2 &it) const { | |
889 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
890 | BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); | |
891 | return it2_ - it.it2_; | |
892 | } | |
893 | ||
894 | // Dereference | |
895 | BOOST_UBLAS_INLINE | |
896 | reference operator * () const { | |
897 | return (*this) () (it1_, it2_); | |
898 | } | |
899 | BOOST_UBLAS_INLINE | |
900 | reference operator [] (difference_type n) const { | |
901 | return *(*this + n); | |
902 | } | |
903 | ||
904 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
905 | BOOST_UBLAS_INLINE | |
906 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
907 | typename self_type:: | |
908 | #endif | |
909 | iterator1 begin () const { | |
910 | return (*this) ().find1 (1, 0, it2_); | |
911 | } | |
912 | BOOST_UBLAS_INLINE | |
913 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
914 | typename self_type:: | |
915 | #endif | |
916 | iterator1 end () const { | |
917 | return (*this) ().find1 (1, (*this) ().size1 (), it2_); | |
918 | } | |
919 | BOOST_UBLAS_INLINE | |
920 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
921 | typename self_type:: | |
922 | #endif | |
923 | reverse_iterator1 rbegin () const { | |
924 | return reverse_iterator1 (end ()); | |
925 | } | |
926 | BOOST_UBLAS_INLINE | |
927 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
928 | typename self_type:: | |
929 | #endif | |
930 | reverse_iterator1 rend () const { | |
931 | return reverse_iterator1 (begin ()); | |
932 | } | |
933 | #endif | |
934 | ||
935 | // Indices | |
936 | BOOST_UBLAS_INLINE | |
937 | size_type index1 () const { | |
938 | return it1_; | |
939 | } | |
940 | BOOST_UBLAS_INLINE | |
941 | size_type index2 () const { | |
942 | return it2_; | |
943 | } | |
944 | ||
945 | // Assignment | |
946 | BOOST_UBLAS_INLINE | |
947 | iterator2 &operator = (const iterator2 &it) { | |
948 | container_reference<self_type>::assign (&it ()); | |
949 | it1_ = it.it1_; | |
950 | it2_ = it.it2_; | |
951 | return *this; | |
952 | } | |
953 | ||
954 | // Comparison | |
955 | BOOST_UBLAS_INLINE | |
956 | bool operator == (const iterator2 &it) const { | |
957 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
958 | BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); | |
959 | return it2_ == it.it2_; | |
960 | } | |
961 | BOOST_UBLAS_INLINE | |
962 | bool operator < (const iterator2 &it) const { | |
963 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
964 | BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); | |
965 | return it2_ < it.it2_; | |
966 | } | |
967 | ||
968 | private: | |
969 | size_type it1_; | |
970 | size_type it2_; | |
971 | ||
972 | friend class const_iterator2; | |
973 | }; | |
974 | #endif | |
975 | ||
976 | BOOST_UBLAS_INLINE | |
977 | iterator2 begin2 () { | |
978 | return find2 (0, 0, 0); | |
979 | } | |
980 | BOOST_UBLAS_INLINE | |
981 | iterator2 end2 () { | |
982 | return find2 (0, 0, size2_); | |
983 | } | |
984 | ||
985 | // Reverse iterators | |
986 | ||
987 | BOOST_UBLAS_INLINE | |
988 | const_reverse_iterator1 rbegin1 () const { | |
989 | return const_reverse_iterator1 (end1 ()); | |
990 | } | |
991 | BOOST_UBLAS_INLINE | |
992 | const_reverse_iterator1 crbegin1 () const { | |
993 | return rbegin1 (); | |
994 | } | |
995 | BOOST_UBLAS_INLINE | |
996 | const_reverse_iterator1 rend1 () const { | |
997 | return const_reverse_iterator1 (begin1 ()); | |
998 | } | |
999 | BOOST_UBLAS_INLINE | |
1000 | const_reverse_iterator1 crend1 () const { | |
1001 | return rend1 (); | |
1002 | } | |
1003 | ||
1004 | BOOST_UBLAS_INLINE | |
1005 | reverse_iterator1 rbegin1 () { | |
1006 | return reverse_iterator1 (end1 ()); | |
1007 | } | |
1008 | BOOST_UBLAS_INLINE | |
1009 | reverse_iterator1 rend1 () { | |
1010 | return reverse_iterator1 (begin1 ()); | |
1011 | } | |
1012 | ||
1013 | BOOST_UBLAS_INLINE | |
1014 | const_reverse_iterator2 rbegin2 () const { | |
1015 | return const_reverse_iterator2 (end2 ()); | |
1016 | } | |
1017 | BOOST_UBLAS_INLINE | |
1018 | const_reverse_iterator2 crbegin2 () const { | |
1019 | return rbegin2 (); | |
1020 | } | |
1021 | BOOST_UBLAS_INLINE | |
1022 | const_reverse_iterator2 rend2 () const { | |
1023 | return const_reverse_iterator2 (begin2 ()); | |
1024 | } | |
1025 | BOOST_UBLAS_INLINE | |
1026 | const_reverse_iterator2 crend2 () const { | |
1027 | return rend2 (); | |
1028 | } | |
1029 | ||
1030 | BOOST_UBLAS_INLINE | |
1031 | reverse_iterator2 rbegin2 () { | |
1032 | return reverse_iterator2 (end2 ()); | |
1033 | } | |
1034 | BOOST_UBLAS_INLINE | |
1035 | reverse_iterator2 rend2 () { | |
1036 | return reverse_iterator2 (begin2 ()); | |
1037 | } | |
1038 | ||
1039 | private: | |
1040 | size_type size1_; | |
1041 | size_type size2_; | |
1042 | array_type data_; | |
1043 | static const value_type zero_; | |
1044 | static const value_type one_; | |
1045 | }; | |
1046 | ||
1047 | template<class T, class TRI, class L, class A> | |
1048 | const typename triangular_matrix<T, TRI, L, A>::value_type triangular_matrix<T, TRI, L, A>::zero_ = value_type/*zero*/(); | |
1049 | template<class T, class TRI, class L, class A> | |
1050 | const typename triangular_matrix<T, TRI, L, A>::value_type triangular_matrix<T, TRI, L, A>::one_ (1); | |
1051 | ||
1052 | ||
1053 | // Triangular matrix adaptor class | |
1054 | template<class M, class TRI> | |
1055 | class triangular_adaptor: | |
1056 | public matrix_expression<triangular_adaptor<M, TRI> > { | |
1057 | ||
1058 | typedef triangular_adaptor<M, TRI> self_type; | |
1059 | ||
1060 | public: | |
1061 | #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS | |
1062 | using matrix_expression<self_type>::operator (); | |
1063 | #endif | |
1064 | typedef const M const_matrix_type; | |
1065 | typedef M matrix_type; | |
1066 | typedef TRI triangular_type; | |
1067 | typedef typename M::size_type size_type; | |
1068 | typedef typename M::difference_type difference_type; | |
1069 | typedef typename M::value_type value_type; | |
1070 | typedef typename M::const_reference const_reference; | |
1071 | typedef typename boost::mpl::if_<boost::is_const<M>, | |
1072 | typename M::const_reference, | |
1073 | typename M::reference>::type reference; | |
1074 | typedef typename boost::mpl::if_<boost::is_const<M>, | |
1075 | typename M::const_closure_type, | |
1076 | typename M::closure_type>::type matrix_closure_type; | |
1077 | typedef const self_type const_closure_type; | |
1078 | typedef self_type closure_type; | |
1079 | // Replaced by _temporary_traits to avoid type requirements on M | |
1080 | //typedef typename M::vector_temporary_type vector_temporary_type; | |
1081 | //typedef typename M::matrix_temporary_type matrix_temporary_type; | |
1082 | typedef typename storage_restrict_traits<typename M::storage_category, | |
1083 | packed_proxy_tag>::storage_category storage_category; | |
1084 | typedef typename M::orientation_category orientation_category; | |
1085 | ||
1086 | // Construction and destruction | |
1087 | BOOST_UBLAS_INLINE | |
1088 | triangular_adaptor (matrix_type &data): | |
1089 | matrix_expression<self_type> (), | |
1090 | data_ (data) {} | |
1091 | BOOST_UBLAS_INLINE | |
1092 | triangular_adaptor (const triangular_adaptor &m): | |
1093 | matrix_expression<self_type> (), | |
1094 | data_ (m.data_) {} | |
1095 | ||
1096 | // Accessors | |
1097 | BOOST_UBLAS_INLINE | |
1098 | size_type size1 () const { | |
1099 | return data_.size1 (); | |
1100 | } | |
1101 | BOOST_UBLAS_INLINE | |
1102 | size_type size2 () const { | |
1103 | return data_.size2 (); | |
1104 | } | |
1105 | ||
1106 | // Storage accessors | |
1107 | BOOST_UBLAS_INLINE | |
1108 | const matrix_closure_type &data () const { | |
1109 | return data_; | |
1110 | } | |
1111 | BOOST_UBLAS_INLINE | |
1112 | matrix_closure_type &data () { | |
1113 | return data_; | |
1114 | } | |
1115 | ||
1116 | // Element access | |
1117 | #ifndef BOOST_UBLAS_PROXY_CONST_MEMBER | |
1118 | BOOST_UBLAS_INLINE | |
1119 | const_reference operator () (size_type i, size_type j) const { | |
1120 | BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); | |
1121 | BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); | |
1122 | if (triangular_type::other (i, j)) | |
1123 | return data () (i, j); | |
1124 | else if (triangular_type::one (i, j)) | |
1125 | return one_; | |
1126 | else | |
1127 | return zero_; | |
1128 | } | |
1129 | BOOST_UBLAS_INLINE | |
1130 | reference operator () (size_type i, size_type j) { | |
1131 | BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); | |
1132 | BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); | |
1133 | if (!triangular_type::other (i, j)) { | |
1134 | bad_index ().raise (); | |
1135 | // NEVER reached | |
1136 | } | |
1137 | return data () (i, j); | |
1138 | } | |
1139 | #else | |
1140 | BOOST_UBLAS_INLINE | |
1141 | reference operator () (size_type i, size_type j) const { | |
1142 | BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); | |
1143 | BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); | |
1144 | if (!triangular_type::other (i, j)) { | |
1145 | bad_index ().raise (); | |
1146 | // NEVER reached | |
1147 | } | |
1148 | return data () (i, j); | |
1149 | } | |
1150 | #endif | |
1151 | ||
1152 | // Assignment | |
1153 | BOOST_UBLAS_INLINE | |
1154 | triangular_adaptor &operator = (const triangular_adaptor &m) { | |
1155 | matrix_assign<scalar_assign> (*this, m); | |
1156 | return *this; | |
1157 | } | |
1158 | BOOST_UBLAS_INLINE | |
1159 | triangular_adaptor &assign_temporary (triangular_adaptor &m) { | |
1160 | *this = m; | |
1161 | return *this; | |
1162 | } | |
1163 | template<class AE> | |
1164 | BOOST_UBLAS_INLINE | |
1165 | triangular_adaptor &operator = (const matrix_expression<AE> &ae) { | |
1166 | matrix_assign<scalar_assign> (*this, matrix<value_type> (ae)); | |
1167 | return *this; | |
1168 | } | |
1169 | template<class AE> | |
1170 | BOOST_UBLAS_INLINE | |
1171 | triangular_adaptor &assign (const matrix_expression<AE> &ae) { | |
1172 | matrix_assign<scalar_assign> (*this, ae); | |
1173 | return *this; | |
1174 | } | |
1175 | template<class AE> | |
1176 | BOOST_UBLAS_INLINE | |
1177 | triangular_adaptor& operator += (const matrix_expression<AE> &ae) { | |
1178 | matrix_assign<scalar_assign> (*this, matrix<value_type> (*this + ae)); | |
1179 | return *this; | |
1180 | } | |
1181 | template<class AE> | |
1182 | BOOST_UBLAS_INLINE | |
1183 | triangular_adaptor &plus_assign (const matrix_expression<AE> &ae) { | |
1184 | matrix_assign<scalar_plus_assign> (*this, ae); | |
1185 | return *this; | |
1186 | } | |
1187 | template<class AE> | |
1188 | BOOST_UBLAS_INLINE | |
1189 | triangular_adaptor& operator -= (const matrix_expression<AE> &ae) { | |
1190 | matrix_assign<scalar_assign> (*this, matrix<value_type> (*this - ae)); | |
1191 | return *this; | |
1192 | } | |
1193 | template<class AE> | |
1194 | BOOST_UBLAS_INLINE | |
1195 | triangular_adaptor &minus_assign (const matrix_expression<AE> &ae) { | |
1196 | matrix_assign<scalar_minus_assign> (*this, ae); | |
1197 | return *this; | |
1198 | } | |
1199 | template<class AT> | |
1200 | BOOST_UBLAS_INLINE | |
1201 | triangular_adaptor& operator *= (const AT &at) { | |
1202 | matrix_assign_scalar<scalar_multiplies_assign> (*this, at); | |
1203 | return *this; | |
1204 | } | |
1205 | template<class AT> | |
1206 | BOOST_UBLAS_INLINE | |
1207 | triangular_adaptor& operator /= (const AT &at) { | |
1208 | matrix_assign_scalar<scalar_divides_assign> (*this, at); | |
1209 | return *this; | |
1210 | } | |
1211 | ||
1212 | // Closure comparison | |
1213 | BOOST_UBLAS_INLINE | |
1214 | bool same_closure (const triangular_adaptor &ta) const { | |
1215 | return (*this).data ().same_closure (ta.data ()); | |
1216 | } | |
1217 | ||
1218 | // Swapping | |
1219 | BOOST_UBLAS_INLINE | |
1220 | void swap (triangular_adaptor &m) { | |
1221 | if (this != &m) | |
1222 | matrix_swap<scalar_swap> (*this, m); | |
1223 | } | |
1224 | BOOST_UBLAS_INLINE | |
1225 | friend void swap (triangular_adaptor &m1, triangular_adaptor &m2) { | |
1226 | m1.swap (m2); | |
1227 | } | |
1228 | ||
1229 | // Iterator types | |
1230 | private: | |
1231 | typedef typename M::const_iterator1 const_subiterator1_type; | |
1232 | typedef typename boost::mpl::if_<boost::is_const<M>, | |
1233 | typename M::const_iterator1, | |
1234 | typename M::iterator1>::type subiterator1_type; | |
1235 | typedef typename M::const_iterator2 const_subiterator2_type; | |
1236 | typedef typename boost::mpl::if_<boost::is_const<M>, | |
1237 | typename M::const_iterator2, | |
1238 | typename M::iterator2>::type subiterator2_type; | |
1239 | ||
1240 | public: | |
1241 | #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
1242 | typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1; | |
1243 | typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2; | |
1244 | typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1; | |
1245 | typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2; | |
1246 | #else | |
1247 | class const_iterator1; | |
1248 | class iterator1; | |
1249 | class const_iterator2; | |
1250 | class iterator2; | |
1251 | #endif | |
1252 | typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1; | |
1253 | typedef reverse_iterator_base1<iterator1> reverse_iterator1; | |
1254 | typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2; | |
1255 | typedef reverse_iterator_base2<iterator2> reverse_iterator2; | |
1256 | ||
1257 | // Element lookup | |
1258 | BOOST_UBLAS_INLINE | |
1259 | const_iterator1 find1 (int rank, size_type i, size_type j) const { | |
1260 | if (rank == 1) | |
1261 | i = triangular_type::restrict1 (i, j, size1(), size2()); | |
1262 | if (rank == 0) | |
1263 | i = triangular_type::global_restrict1 (i, size1(), j, size2()); | |
1264 | return const_iterator1 (*this, data ().find1 (rank, i, j)); | |
1265 | } | |
1266 | BOOST_UBLAS_INLINE | |
1267 | iterator1 find1 (int rank, size_type i, size_type j) { | |
1268 | if (rank == 1) | |
1269 | i = triangular_type::mutable_restrict1 (i, j, size1(), size2()); | |
1270 | if (rank == 0) | |
1271 | i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2()); | |
1272 | return iterator1 (*this, data ().find1 (rank, i, j)); | |
1273 | } | |
1274 | BOOST_UBLAS_INLINE | |
1275 | const_iterator2 find2 (int rank, size_type i, size_type j) const { | |
1276 | if (rank == 1) | |
1277 | j = triangular_type::restrict2 (i, j, size1(), size2()); | |
1278 | if (rank == 0) | |
1279 | j = triangular_type::global_restrict2 (i, size1(), j, size2()); | |
1280 | return const_iterator2 (*this, data ().find2 (rank, i, j)); | |
1281 | } | |
1282 | BOOST_UBLAS_INLINE | |
1283 | iterator2 find2 (int rank, size_type i, size_type j) { | |
1284 | if (rank == 1) | |
1285 | j = triangular_type::mutable_restrict2 (i, j, size1(), size2()); | |
1286 | if (rank == 0) | |
1287 | j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2()); | |
1288 | return iterator2 (*this, data ().find2 (rank, i, j)); | |
1289 | } | |
1290 | ||
1291 | // Iterators simply are indices. | |
1292 | ||
1293 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
1294 | class const_iterator1: | |
1295 | public container_const_reference<triangular_adaptor>, | |
1296 | public random_access_iterator_base<typename iterator_restrict_traits< | |
1297 | typename const_subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category, | |
1298 | const_iterator1, value_type> { | |
1299 | public: | |
1300 | typedef typename const_subiterator1_type::value_type value_type; | |
1301 | typedef typename const_subiterator1_type::difference_type difference_type; | |
1302 | typedef typename const_subiterator1_type::reference reference; | |
1303 | typedef typename const_subiterator1_type::pointer pointer; | |
1304 | ||
1305 | typedef const_iterator2 dual_iterator_type; | |
1306 | typedef const_reverse_iterator2 dual_reverse_iterator_type; | |
1307 | ||
1308 | // Construction and destruction | |
1309 | BOOST_UBLAS_INLINE | |
1310 | const_iterator1 (): | |
1311 | container_const_reference<self_type> (), it1_ () {} | |
1312 | BOOST_UBLAS_INLINE | |
1313 | const_iterator1 (const self_type &m, const const_subiterator1_type &it1): | |
1314 | container_const_reference<self_type> (m), it1_ (it1) {} | |
1315 | BOOST_UBLAS_INLINE | |
1316 | const_iterator1 (const iterator1 &it): | |
1317 | container_const_reference<self_type> (it ()), it1_ (it.it1_) {} | |
1318 | ||
1319 | // Arithmetic | |
1320 | BOOST_UBLAS_INLINE | |
1321 | const_iterator1 &operator ++ () { | |
1322 | ++ it1_; | |
1323 | return *this; | |
1324 | } | |
1325 | BOOST_UBLAS_INLINE | |
1326 | const_iterator1 &operator -- () { | |
1327 | -- it1_; | |
1328 | return *this; | |
1329 | } | |
1330 | BOOST_UBLAS_INLINE | |
1331 | const_iterator1 &operator += (difference_type n) { | |
1332 | it1_ += n; | |
1333 | return *this; | |
1334 | } | |
1335 | BOOST_UBLAS_INLINE | |
1336 | const_iterator1 &operator -= (difference_type n) { | |
1337 | it1_ -= n; | |
1338 | return *this; | |
1339 | } | |
1340 | BOOST_UBLAS_INLINE | |
1341 | difference_type operator - (const const_iterator1 &it) const { | |
1342 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1343 | return it1_ - it.it1_; | |
1344 | } | |
1345 | ||
1346 | // Dereference | |
1347 | BOOST_UBLAS_INLINE | |
1348 | const_reference operator * () const { | |
1349 | size_type i = index1 (); | |
1350 | size_type j = index2 (); | |
1351 | BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); | |
1352 | BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); | |
1353 | if (triangular_type::other (i, j)) | |
1354 | return *it1_; | |
1355 | else | |
1356 | return (*this) () (i, j); | |
1357 | } | |
1358 | BOOST_UBLAS_INLINE | |
1359 | const_reference operator [] (difference_type n) const { | |
1360 | return *(*this + n); | |
1361 | } | |
1362 | ||
1363 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
1364 | BOOST_UBLAS_INLINE | |
1365 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1366 | typename self_type:: | |
1367 | #endif | |
1368 | const_iterator2 begin () const { | |
1369 | return (*this) ().find2 (1, index1 (), 0); | |
1370 | } | |
1371 | BOOST_UBLAS_INLINE | |
1372 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1373 | typename self_type:: | |
1374 | #endif | |
1375 | const_iterator2 cbegin () const { | |
1376 | return begin (); | |
1377 | } | |
1378 | BOOST_UBLAS_INLINE | |
1379 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1380 | typename self_type:: | |
1381 | #endif | |
1382 | const_iterator2 end () const { | |
1383 | return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); | |
1384 | } | |
1385 | BOOST_UBLAS_INLINE | |
1386 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1387 | typename self_type:: | |
1388 | #endif | |
1389 | const_iterator2 cend () const { | |
1390 | return end (); | |
1391 | } | |
1392 | ||
1393 | BOOST_UBLAS_INLINE | |
1394 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1395 | typename self_type:: | |
1396 | #endif | |
1397 | const_reverse_iterator2 rbegin () const { | |
1398 | return const_reverse_iterator2 (end ()); | |
1399 | } | |
1400 | BOOST_UBLAS_INLINE | |
1401 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1402 | typename self_type:: | |
1403 | #endif | |
1404 | const_reverse_iterator2 crbegin () const { | |
1405 | return rbegin (); | |
1406 | } | |
1407 | BOOST_UBLAS_INLINE | |
1408 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1409 | typename self_type:: | |
1410 | #endif | |
1411 | const_reverse_iterator2 rend () const { | |
1412 | return const_reverse_iterator2 (begin ()); | |
1413 | } | |
1414 | BOOST_UBLAS_INLINE | |
1415 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1416 | typename self_type:: | |
1417 | #endif | |
1418 | const_reverse_iterator2 crend () const { | |
1419 | return rend (); | |
1420 | } | |
1421 | #endif | |
1422 | ||
1423 | // Indices | |
1424 | BOOST_UBLAS_INLINE | |
1425 | size_type index1 () const { | |
1426 | return it1_.index1 (); | |
1427 | } | |
1428 | BOOST_UBLAS_INLINE | |
1429 | size_type index2 () const { | |
1430 | return it1_.index2 (); | |
1431 | } | |
1432 | ||
1433 | // Assignment | |
1434 | BOOST_UBLAS_INLINE | |
1435 | const_iterator1 &operator = (const const_iterator1 &it) { | |
1436 | container_const_reference<self_type>::assign (&it ()); | |
1437 | it1_ = it.it1_; | |
1438 | return *this; | |
1439 | } | |
1440 | ||
1441 | // Comparison | |
1442 | BOOST_UBLAS_INLINE | |
1443 | bool operator == (const const_iterator1 &it) const { | |
1444 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1445 | return it1_ == it.it1_; | |
1446 | } | |
1447 | BOOST_UBLAS_INLINE | |
1448 | bool operator < (const const_iterator1 &it) const { | |
1449 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1450 | return it1_ < it.it1_; | |
1451 | } | |
1452 | ||
1453 | private: | |
1454 | const_subiterator1_type it1_; | |
1455 | }; | |
1456 | #endif | |
1457 | ||
1458 | BOOST_UBLAS_INLINE | |
1459 | const_iterator1 begin1 () const { | |
1460 | return find1 (0, 0, 0); | |
1461 | } | |
1462 | BOOST_UBLAS_INLINE | |
1463 | const_iterator1 cbegin1 () const { | |
1464 | return begin1 (); | |
1465 | } | |
1466 | BOOST_UBLAS_INLINE | |
1467 | const_iterator1 end1 () const { | |
1468 | return find1 (0, size1 (), 0); | |
1469 | } | |
1470 | BOOST_UBLAS_INLINE | |
1471 | const_iterator1 cend1 () const { | |
1472 | return end1 (); | |
1473 | } | |
1474 | ||
1475 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
1476 | class iterator1: | |
1477 | public container_reference<triangular_adaptor>, | |
1478 | public random_access_iterator_base<typename iterator_restrict_traits< | |
1479 | typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category, | |
1480 | iterator1, value_type> { | |
1481 | public: | |
1482 | typedef typename subiterator1_type::value_type value_type; | |
1483 | typedef typename subiterator1_type::difference_type difference_type; | |
1484 | typedef typename subiterator1_type::reference reference; | |
1485 | typedef typename subiterator1_type::pointer pointer; | |
1486 | ||
1487 | typedef iterator2 dual_iterator_type; | |
1488 | typedef reverse_iterator2 dual_reverse_iterator_type; | |
1489 | ||
1490 | // Construction and destruction | |
1491 | BOOST_UBLAS_INLINE | |
1492 | iterator1 (): | |
1493 | container_reference<self_type> (), it1_ () {} | |
1494 | BOOST_UBLAS_INLINE | |
1495 | iterator1 (self_type &m, const subiterator1_type &it1): | |
1496 | container_reference<self_type> (m), it1_ (it1) {} | |
1497 | ||
1498 | // Arithmetic | |
1499 | BOOST_UBLAS_INLINE | |
1500 | iterator1 &operator ++ () { | |
1501 | ++ it1_; | |
1502 | return *this; | |
1503 | } | |
1504 | BOOST_UBLAS_INLINE | |
1505 | iterator1 &operator -- () { | |
1506 | -- it1_; | |
1507 | return *this; | |
1508 | } | |
1509 | BOOST_UBLAS_INLINE | |
1510 | iterator1 &operator += (difference_type n) { | |
1511 | it1_ += n; | |
1512 | return *this; | |
1513 | } | |
1514 | BOOST_UBLAS_INLINE | |
1515 | iterator1 &operator -= (difference_type n) { | |
1516 | it1_ -= n; | |
1517 | return *this; | |
1518 | } | |
1519 | BOOST_UBLAS_INLINE | |
1520 | difference_type operator - (const iterator1 &it) const { | |
1521 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1522 | return it1_ - it.it1_; | |
1523 | } | |
1524 | ||
1525 | // Dereference | |
1526 | BOOST_UBLAS_INLINE | |
1527 | reference operator * () const { | |
1528 | size_type i = index1 (); | |
1529 | size_type j = index2 (); | |
1530 | BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); | |
1531 | BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); | |
1532 | if (triangular_type::other (i, j)) | |
1533 | return *it1_; | |
1534 | else | |
1535 | return (*this) () (i, j); | |
1536 | } | |
1537 | BOOST_UBLAS_INLINE | |
1538 | reference operator [] (difference_type n) const { | |
1539 | return *(*this + n); | |
1540 | } | |
1541 | ||
1542 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
1543 | BOOST_UBLAS_INLINE | |
1544 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1545 | typename self_type:: | |
1546 | #endif | |
1547 | iterator2 begin () const { | |
1548 | return (*this) ().find2 (1, index1 (), 0); | |
1549 | } | |
1550 | BOOST_UBLAS_INLINE | |
1551 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1552 | typename self_type:: | |
1553 | #endif | |
1554 | iterator2 end () const { | |
1555 | return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); | |
1556 | } | |
1557 | BOOST_UBLAS_INLINE | |
1558 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1559 | typename self_type:: | |
1560 | #endif | |
1561 | reverse_iterator2 rbegin () const { | |
1562 | return reverse_iterator2 (end ()); | |
1563 | } | |
1564 | BOOST_UBLAS_INLINE | |
1565 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1566 | typename self_type:: | |
1567 | #endif | |
1568 | reverse_iterator2 rend () const { | |
1569 | return reverse_iterator2 (begin ()); | |
1570 | } | |
1571 | #endif | |
1572 | ||
1573 | // Indices | |
1574 | BOOST_UBLAS_INLINE | |
1575 | size_type index1 () const { | |
1576 | return it1_.index1 (); | |
1577 | } | |
1578 | BOOST_UBLAS_INLINE | |
1579 | size_type index2 () const { | |
1580 | return it1_.index2 (); | |
1581 | } | |
1582 | ||
1583 | // Assignment | |
1584 | BOOST_UBLAS_INLINE | |
1585 | iterator1 &operator = (const iterator1 &it) { | |
1586 | container_reference<self_type>::assign (&it ()); | |
1587 | it1_ = it.it1_; | |
1588 | return *this; | |
1589 | } | |
1590 | ||
1591 | // Comparison | |
1592 | BOOST_UBLAS_INLINE | |
1593 | bool operator == (const iterator1 &it) const { | |
1594 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1595 | return it1_ == it.it1_; | |
1596 | } | |
1597 | BOOST_UBLAS_INLINE | |
1598 | bool operator < (const iterator1 &it) const { | |
1599 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1600 | return it1_ < it.it1_; | |
1601 | } | |
1602 | ||
1603 | private: | |
1604 | subiterator1_type it1_; | |
1605 | ||
1606 | friend class const_iterator1; | |
1607 | }; | |
1608 | #endif | |
1609 | ||
1610 | BOOST_UBLAS_INLINE | |
1611 | iterator1 begin1 () { | |
1612 | return find1 (0, 0, 0); | |
1613 | } | |
1614 | BOOST_UBLAS_INLINE | |
1615 | iterator1 end1 () { | |
1616 | return find1 (0, size1 (), 0); | |
1617 | } | |
1618 | ||
1619 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
1620 | class const_iterator2: | |
1621 | public container_const_reference<triangular_adaptor>, | |
1622 | public random_access_iterator_base<typename iterator_restrict_traits< | |
1623 | typename const_subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category, | |
1624 | const_iterator2, value_type> { | |
1625 | public: | |
1626 | typedef typename const_subiterator2_type::value_type value_type; | |
1627 | typedef typename const_subiterator2_type::difference_type difference_type; | |
1628 | typedef typename const_subiterator2_type::reference reference; | |
1629 | typedef typename const_subiterator2_type::pointer pointer; | |
1630 | ||
1631 | typedef const_iterator1 dual_iterator_type; | |
1632 | typedef const_reverse_iterator1 dual_reverse_iterator_type; | |
1633 | ||
1634 | // Construction and destruction | |
1635 | BOOST_UBLAS_INLINE | |
1636 | const_iterator2 (): | |
1637 | container_const_reference<self_type> (), it2_ () {} | |
1638 | BOOST_UBLAS_INLINE | |
1639 | const_iterator2 (const self_type &m, const const_subiterator2_type &it2): | |
1640 | container_const_reference<self_type> (m), it2_ (it2) {} | |
1641 | BOOST_UBLAS_INLINE | |
1642 | const_iterator2 (const iterator2 &it): | |
1643 | container_const_reference<self_type> (it ()), it2_ (it.it2_) {} | |
1644 | ||
1645 | // Arithmetic | |
1646 | BOOST_UBLAS_INLINE | |
1647 | const_iterator2 &operator ++ () { | |
1648 | ++ it2_; | |
1649 | return *this; | |
1650 | } | |
1651 | BOOST_UBLAS_INLINE | |
1652 | const_iterator2 &operator -- () { | |
1653 | -- it2_; | |
1654 | return *this; | |
1655 | } | |
1656 | BOOST_UBLAS_INLINE | |
1657 | const_iterator2 &operator += (difference_type n) { | |
1658 | it2_ += n; | |
1659 | return *this; | |
1660 | } | |
1661 | BOOST_UBLAS_INLINE | |
1662 | const_iterator2 &operator -= (difference_type n) { | |
1663 | it2_ -= n; | |
1664 | return *this; | |
1665 | } | |
1666 | BOOST_UBLAS_INLINE | |
1667 | difference_type operator - (const const_iterator2 &it) const { | |
1668 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1669 | return it2_ - it.it2_; | |
1670 | } | |
1671 | ||
1672 | // Dereference | |
1673 | BOOST_UBLAS_INLINE | |
1674 | const_reference operator * () const { | |
1675 | size_type i = index1 (); | |
1676 | size_type j = index2 (); | |
1677 | BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); | |
1678 | BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); | |
1679 | if (triangular_type::other (i, j)) | |
1680 | return *it2_; | |
1681 | else | |
1682 | return (*this) () (i, j); | |
1683 | } | |
1684 | BOOST_UBLAS_INLINE | |
1685 | const_reference operator [] (difference_type n) const { | |
1686 | return *(*this + n); | |
1687 | } | |
1688 | ||
1689 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
1690 | BOOST_UBLAS_INLINE | |
1691 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1692 | typename self_type:: | |
1693 | #endif | |
1694 | const_iterator1 begin () const { | |
1695 | return (*this) ().find1 (1, 0, index2 ()); | |
1696 | } | |
1697 | BOOST_UBLAS_INLINE | |
1698 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1699 | typename self_type:: | |
1700 | #endif | |
1701 | const_iterator1 cbegin () const { | |
1702 | return begin (); | |
1703 | } | |
1704 | BOOST_UBLAS_INLINE | |
1705 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1706 | typename self_type:: | |
1707 | #endif | |
1708 | const_iterator1 end () const { | |
1709 | return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); | |
1710 | } | |
1711 | BOOST_UBLAS_INLINE | |
1712 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1713 | typename self_type:: | |
1714 | #endif | |
1715 | const_iterator1 cend () const { | |
1716 | return end (); | |
1717 | } | |
1718 | BOOST_UBLAS_INLINE | |
1719 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1720 | typename self_type:: | |
1721 | #endif | |
1722 | const_reverse_iterator1 rbegin () const { | |
1723 | return const_reverse_iterator1 (end ()); | |
1724 | } | |
1725 | BOOST_UBLAS_INLINE | |
1726 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1727 | typename self_type:: | |
1728 | #endif | |
1729 | const_reverse_iterator1 crbegin () const { | |
1730 | return rbegin (); | |
1731 | } | |
1732 | BOOST_UBLAS_INLINE | |
1733 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1734 | typename self_type:: | |
1735 | #endif | |
1736 | const_reverse_iterator1 rend () const { | |
1737 | return const_reverse_iterator1 (begin ()); | |
1738 | } | |
1739 | BOOST_UBLAS_INLINE | |
1740 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1741 | typename self_type:: | |
1742 | #endif | |
1743 | const_reverse_iterator1 crend () const { | |
1744 | return rend (); | |
1745 | } | |
1746 | #endif | |
1747 | ||
1748 | // Indices | |
1749 | BOOST_UBLAS_INLINE | |
1750 | size_type index1 () const { | |
1751 | return it2_.index1 (); | |
1752 | } | |
1753 | BOOST_UBLAS_INLINE | |
1754 | size_type index2 () const { | |
1755 | return it2_.index2 (); | |
1756 | } | |
1757 | ||
1758 | // Assignment | |
1759 | BOOST_UBLAS_INLINE | |
1760 | const_iterator2 &operator = (const const_iterator2 &it) { | |
1761 | container_const_reference<self_type>::assign (&it ()); | |
1762 | it2_ = it.it2_; | |
1763 | return *this; | |
1764 | } | |
1765 | ||
1766 | // Comparison | |
1767 | BOOST_UBLAS_INLINE | |
1768 | bool operator == (const const_iterator2 &it) const { | |
1769 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1770 | return it2_ == it.it2_; | |
1771 | } | |
1772 | BOOST_UBLAS_INLINE | |
1773 | bool operator < (const const_iterator2 &it) const { | |
1774 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1775 | return it2_ < it.it2_; | |
1776 | } | |
1777 | ||
1778 | private: | |
1779 | const_subiterator2_type it2_; | |
1780 | }; | |
1781 | #endif | |
1782 | ||
1783 | BOOST_UBLAS_INLINE | |
1784 | const_iterator2 begin2 () const { | |
1785 | return find2 (0, 0, 0); | |
1786 | } | |
1787 | BOOST_UBLAS_INLINE | |
1788 | const_iterator2 cbegin2 () const { | |
1789 | return begin2 (); | |
1790 | } | |
1791 | BOOST_UBLAS_INLINE | |
1792 | const_iterator2 end2 () const { | |
1793 | return find2 (0, 0, size2 ()); | |
1794 | } | |
1795 | BOOST_UBLAS_INLINE | |
1796 | const_iterator2 cend2 () const { | |
1797 | return end2 (); | |
1798 | } | |
1799 | ||
1800 | #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR | |
1801 | class iterator2: | |
1802 | public container_reference<triangular_adaptor>, | |
1803 | public random_access_iterator_base<typename iterator_restrict_traits< | |
1804 | typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category, | |
1805 | iterator2, value_type> { | |
1806 | public: | |
1807 | typedef typename subiterator2_type::value_type value_type; | |
1808 | typedef typename subiterator2_type::difference_type difference_type; | |
1809 | typedef typename subiterator2_type::reference reference; | |
1810 | typedef typename subiterator2_type::pointer pointer; | |
1811 | ||
1812 | typedef iterator1 dual_iterator_type; | |
1813 | typedef reverse_iterator1 dual_reverse_iterator_type; | |
1814 | ||
1815 | // Construction and destruction | |
1816 | BOOST_UBLAS_INLINE | |
1817 | iterator2 (): | |
1818 | container_reference<self_type> (), it2_ () {} | |
1819 | BOOST_UBLAS_INLINE | |
1820 | iterator2 (self_type &m, const subiterator2_type &it2): | |
1821 | container_reference<self_type> (m), it2_ (it2) {} | |
1822 | ||
1823 | // Arithmetic | |
1824 | BOOST_UBLAS_INLINE | |
1825 | iterator2 &operator ++ () { | |
1826 | ++ it2_; | |
1827 | return *this; | |
1828 | } | |
1829 | BOOST_UBLAS_INLINE | |
1830 | iterator2 &operator -- () { | |
1831 | -- it2_; | |
1832 | return *this; | |
1833 | } | |
1834 | BOOST_UBLAS_INLINE | |
1835 | iterator2 &operator += (difference_type n) { | |
1836 | it2_ += n; | |
1837 | return *this; | |
1838 | } | |
1839 | BOOST_UBLAS_INLINE | |
1840 | iterator2 &operator -= (difference_type n) { | |
1841 | it2_ -= n; | |
1842 | return *this; | |
1843 | } | |
1844 | BOOST_UBLAS_INLINE | |
1845 | difference_type operator - (const iterator2 &it) const { | |
1846 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1847 | return it2_ - it.it2_; | |
1848 | } | |
1849 | ||
1850 | // Dereference | |
1851 | BOOST_UBLAS_INLINE | |
1852 | reference operator * () const { | |
1853 | size_type i = index1 (); | |
1854 | size_type j = index2 (); | |
1855 | BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); | |
1856 | BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); | |
1857 | if (triangular_type::other (i, j)) | |
1858 | return *it2_; | |
1859 | else | |
1860 | return (*this) () (i, j); | |
1861 | } | |
1862 | BOOST_UBLAS_INLINE | |
1863 | reference operator [] (difference_type n) const { | |
1864 | return *(*this + n); | |
1865 | } | |
1866 | ||
1867 | #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION | |
1868 | BOOST_UBLAS_INLINE | |
1869 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1870 | typename self_type:: | |
1871 | #endif | |
1872 | iterator1 begin () const { | |
1873 | return (*this) ().find1 (1, 0, index2 ()); | |
1874 | } | |
1875 | BOOST_UBLAS_INLINE | |
1876 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1877 | typename self_type:: | |
1878 | #endif | |
1879 | iterator1 end () const { | |
1880 | return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); | |
1881 | } | |
1882 | BOOST_UBLAS_INLINE | |
1883 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1884 | typename self_type:: | |
1885 | #endif | |
1886 | reverse_iterator1 rbegin () const { | |
1887 | return reverse_iterator1 (end ()); | |
1888 | } | |
1889 | BOOST_UBLAS_INLINE | |
1890 | #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION | |
1891 | typename self_type:: | |
1892 | #endif | |
1893 | reverse_iterator1 rend () const { | |
1894 | return reverse_iterator1 (begin ()); | |
1895 | } | |
1896 | #endif | |
1897 | ||
1898 | // Indices | |
1899 | BOOST_UBLAS_INLINE | |
1900 | size_type index1 () const { | |
1901 | return it2_.index1 (); | |
1902 | } | |
1903 | BOOST_UBLAS_INLINE | |
1904 | size_type index2 () const { | |
1905 | return it2_.index2 (); | |
1906 | } | |
1907 | ||
1908 | // Assignment | |
1909 | BOOST_UBLAS_INLINE | |
1910 | iterator2 &operator = (const iterator2 &it) { | |
1911 | container_reference<self_type>::assign (&it ()); | |
1912 | it2_ = it.it2_; | |
1913 | return *this; | |
1914 | } | |
1915 | ||
1916 | // Comparison | |
1917 | BOOST_UBLAS_INLINE | |
1918 | bool operator == (const iterator2 &it) const { | |
1919 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1920 | return it2_ == it.it2_; | |
1921 | } | |
1922 | BOOST_UBLAS_INLINE | |
1923 | bool operator < (const iterator2 &it) const { | |
1924 | BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); | |
1925 | return it2_ < it.it2_; | |
1926 | } | |
1927 | ||
1928 | private: | |
1929 | subiterator2_type it2_; | |
1930 | ||
1931 | friend class const_iterator2; | |
1932 | }; | |
1933 | #endif | |
1934 | ||
1935 | BOOST_UBLAS_INLINE | |
1936 | iterator2 begin2 () { | |
1937 | return find2 (0, 0, 0); | |
1938 | } | |
1939 | BOOST_UBLAS_INLINE | |
1940 | iterator2 end2 () { | |
1941 | return find2 (0, 0, size2 ()); | |
1942 | } | |
1943 | ||
1944 | // Reverse iterators | |
1945 | ||
1946 | BOOST_UBLAS_INLINE | |
1947 | const_reverse_iterator1 rbegin1 () const { | |
1948 | return const_reverse_iterator1 (end1 ()); | |
1949 | } | |
1950 | BOOST_UBLAS_INLINE | |
1951 | const_reverse_iterator1 crbegin1 () const { | |
1952 | return rbegin1 (); | |
1953 | } | |
1954 | BOOST_UBLAS_INLINE | |
1955 | const_reverse_iterator1 rend1 () const { | |
1956 | return const_reverse_iterator1 (begin1 ()); | |
1957 | } | |
1958 | BOOST_UBLAS_INLINE | |
1959 | const_reverse_iterator1 crend1 () const { | |
1960 | return rend1 (); | |
1961 | } | |
1962 | ||
1963 | BOOST_UBLAS_INLINE | |
1964 | reverse_iterator1 rbegin1 () { | |
1965 | return reverse_iterator1 (end1 ()); | |
1966 | } | |
1967 | BOOST_UBLAS_INLINE | |
1968 | reverse_iterator1 rend1 () { | |
1969 | return reverse_iterator1 (begin1 ()); | |
1970 | } | |
1971 | ||
1972 | BOOST_UBLAS_INLINE | |
1973 | const_reverse_iterator2 rbegin2 () const { | |
1974 | return const_reverse_iterator2 (end2 ()); | |
1975 | } | |
1976 | BOOST_UBLAS_INLINE | |
1977 | const_reverse_iterator2 crbegin2 () const { | |
1978 | return rbegin2 (); | |
1979 | } | |
1980 | BOOST_UBLAS_INLINE | |
1981 | const_reverse_iterator2 rend2 () const { | |
1982 | return const_reverse_iterator2 (begin2 ()); | |
1983 | } | |
1984 | BOOST_UBLAS_INLINE | |
1985 | const_reverse_iterator2 crend2 () const { | |
1986 | return rend2 (); | |
1987 | } | |
1988 | ||
1989 | BOOST_UBLAS_INLINE | |
1990 | reverse_iterator2 rbegin2 () { | |
1991 | return reverse_iterator2 (end2 ()); | |
1992 | } | |
1993 | BOOST_UBLAS_INLINE | |
1994 | reverse_iterator2 rend2 () { | |
1995 | return reverse_iterator2 (begin2 ()); | |
1996 | } | |
1997 | ||
1998 | private: | |
1999 | matrix_closure_type data_; | |
2000 | static const value_type zero_; | |
2001 | static const value_type one_; | |
2002 | }; | |
2003 | ||
2004 | template<class M, class TRI> | |
2005 | const typename triangular_adaptor<M, TRI>::value_type triangular_adaptor<M, TRI>::zero_ = value_type/*zero*/(); | |
2006 | template<class M, class TRI> | |
2007 | const typename triangular_adaptor<M, TRI>::value_type triangular_adaptor<M, TRI>::one_ (1); | |
2008 | ||
2009 | template <class M, class TRI> | |
2010 | struct vector_temporary_traits< triangular_adaptor<M, TRI> > | |
2011 | : vector_temporary_traits< typename boost::remove_const<M>::type > {} ; | |
2012 | template <class M, class TRI> | |
2013 | struct vector_temporary_traits< const triangular_adaptor<M, TRI> > | |
2014 | : vector_temporary_traits< typename boost::remove_const<M>::type > {} ; | |
2015 | ||
2016 | template <class M, class TRI> | |
2017 | struct matrix_temporary_traits< triangular_adaptor<M, TRI> > | |
2018 | : matrix_temporary_traits< typename boost::remove_const<M>::type > {}; | |
2019 | template <class M, class TRI> | |
2020 | struct matrix_temporary_traits< const triangular_adaptor<M, TRI> > | |
2021 | : matrix_temporary_traits< typename boost::remove_const<M>::type > {}; | |
2022 | ||
2023 | ||
2024 | template<class E1, class E2> | |
2025 | struct matrix_vector_solve_traits { | |
2026 | typedef typename promote_traits<typename E1::value_type, typename E2::value_type>::promote_type promote_type; | |
2027 | typedef vector<promote_type> result_type; | |
2028 | }; | |
2029 | ||
2030 | // Operations: | |
2031 | // n * (n - 1) / 2 + n = n * (n + 1) / 2 multiplications, | |
2032 | // n * (n - 1) / 2 additions | |
2033 | ||
2034 | // Dense (proxy) case | |
2035 | template<class E1, class E2> | |
2036 | BOOST_UBLAS_INLINE | |
2037 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2038 | lower_tag, column_major_tag, dense_proxy_tag) { | |
2039 | typedef typename E2::size_type size_type; | |
2040 | typedef typename E2::value_type value_type; | |
2041 | ||
2042 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2043 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2044 | size_type size = e2 ().size (); | |
2045 | for (size_type n = 0; n < size; ++ n) { | |
2046 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2047 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2048 | #else | |
2049 | if (e1 () (n, n) == value_type/*zero*/()) | |
2050 | singular ().raise (); | |
2051 | #endif | |
2052 | value_type t = e2 () (n) /= e1 () (n, n); | |
2053 | if (t != value_type/*zero*/()) { | |
2054 | for (size_type m = n + 1; m < size; ++ m) | |
2055 | e2 () (m) -= e1 () (m, n) * t; | |
2056 | } | |
2057 | } | |
2058 | } | |
2059 | // Packed (proxy) case | |
2060 | template<class E1, class E2> | |
2061 | BOOST_UBLAS_INLINE | |
2062 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2063 | lower_tag, column_major_tag, packed_proxy_tag) { | |
2064 | typedef typename E2::size_type size_type; | |
2065 | typedef typename E2::difference_type difference_type; | |
2066 | typedef typename E2::value_type value_type; | |
2067 | ||
2068 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2069 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2070 | size_type size = e2 ().size (); | |
2071 | for (size_type n = 0; n < size; ++ n) { | |
2072 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2073 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2074 | #else | |
2075 | if (e1 () (n, n) == value_type/*zero*/()) | |
2076 | singular ().raise (); | |
2077 | #endif | |
2078 | value_type t = e2 () (n) /= e1 () (n, n); | |
2079 | if (t != value_type/*zero*/()) { | |
2080 | typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n)); | |
2081 | typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n)); | |
2082 | difference_type m (it1e1_end - it1e1); | |
2083 | while (-- m >= 0) | |
2084 | e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1; | |
2085 | } | |
2086 | } | |
2087 | } | |
2088 | // Sparse (proxy) case | |
2089 | template<class E1, class E2> | |
2090 | BOOST_UBLAS_INLINE | |
2091 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2092 | lower_tag, column_major_tag, unknown_storage_tag) { | |
2093 | typedef typename E2::size_type size_type; | |
2094 | typedef typename E2::value_type value_type; | |
2095 | ||
2096 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2097 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2098 | size_type size = e2 ().size (); | |
2099 | for (size_type n = 0; n < size; ++ n) { | |
2100 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2101 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2102 | #else | |
2103 | if (e1 () (n, n) == value_type/*zero*/()) | |
2104 | singular ().raise (); | |
2105 | #endif | |
2106 | value_type t = e2 () (n) /= e1 () (n, n); | |
2107 | if (t != value_type/*zero*/()) { | |
2108 | typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n)); | |
2109 | typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n)); | |
2110 | while (it1e1 != it1e1_end) | |
2111 | e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1; | |
2112 | } | |
2113 | } | |
2114 | } | |
2115 | ||
2116 | // Dense (proxy) case | |
2117 | template<class E1, class E2> | |
2118 | BOOST_UBLAS_INLINE | |
2119 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2120 | lower_tag, row_major_tag, dense_proxy_tag) { | |
2121 | typedef typename E2::size_type size_type; | |
2122 | typedef typename E2::value_type value_type; | |
2123 | ||
2124 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2125 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2126 | size_type size = e2 ().size (); | |
2127 | for (size_type n = 0; n < size; ++ n) { | |
2128 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2129 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2130 | #else | |
2131 | if (e1 () (n, n) == value_type/*zero*/()) | |
2132 | singular ().raise (); | |
2133 | #endif | |
2134 | value_type t = e2 () (n) /= e1 () (n, n); | |
2135 | if (t != value_type/*zero*/()) { | |
2136 | for (size_type m = n + 1; m < size; ++ m) | |
2137 | e2 () (m) -= e1 () (m, n) * t; | |
2138 | } | |
2139 | } | |
2140 | } | |
2141 | // Packed (proxy) case | |
2142 | template<class E1, class E2> | |
2143 | BOOST_UBLAS_INLINE | |
2144 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2145 | lower_tag, row_major_tag, packed_proxy_tag) { | |
2146 | typedef typename E2::size_type size_type; | |
2147 | typedef typename E2::value_type value_type; | |
2148 | ||
2149 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2150 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2151 | size_type size = e2 ().size (); | |
2152 | for (size_type n = 0; n < size; ++ n) { | |
2153 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2154 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2155 | #else | |
2156 | if (e1 () (n, n) == value_type/*zero*/()) | |
2157 | singular ().raise (); | |
2158 | #endif | |
2159 | value_type t = e2 () (n); | |
2160 | typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, 0)); | |
2161 | typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, n)); | |
2162 | while (it2e1 != it2e1_end) { | |
2163 | t -= *it2e1 * e2 () (it2e1.index2()); | |
2164 | ++ it2e1; | |
2165 | } | |
2166 | e2() (n) = t / e1 () (n, n); | |
2167 | } | |
2168 | } | |
2169 | // Sparse (proxy) case | |
2170 | template<class E1, class E2> | |
2171 | BOOST_UBLAS_INLINE | |
2172 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2173 | lower_tag, row_major_tag, unknown_storage_tag) { | |
2174 | typedef typename E2::size_type size_type; | |
2175 | typedef typename E2::value_type value_type; | |
2176 | ||
2177 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2178 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2179 | size_type size = e2 ().size (); | |
2180 | for (size_type n = 0; n < size; ++ n) { | |
2181 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2182 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2183 | #else | |
2184 | if (e1 () (n, n) == value_type/*zero*/()) | |
2185 | singular ().raise (); | |
2186 | #endif | |
2187 | value_type t = e2 () (n); | |
2188 | typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, 0)); | |
2189 | typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, n)); | |
2190 | while (it2e1 != it2e1_end) { | |
2191 | t -= *it2e1 * e2 () (it2e1.index2()); | |
2192 | ++ it2e1; | |
2193 | } | |
2194 | e2() (n) = t / e1 () (n, n); | |
2195 | } | |
2196 | } | |
2197 | ||
2198 | // Redirectors :-) | |
2199 | template<class E1, class E2> | |
2200 | BOOST_UBLAS_INLINE | |
2201 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2202 | lower_tag, column_major_tag) { | |
2203 | typedef typename E1::storage_category storage_category; | |
2204 | inplace_solve (e1, e2, | |
2205 | lower_tag (), column_major_tag (), storage_category ()); | |
2206 | } | |
2207 | template<class E1, class E2> | |
2208 | BOOST_UBLAS_INLINE | |
2209 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2210 | lower_tag, row_major_tag) { | |
2211 | typedef typename E1::storage_category storage_category; | |
2212 | inplace_solve (e1, e2, | |
2213 | lower_tag (), row_major_tag (), storage_category ()); | |
2214 | } | |
2215 | // Dispatcher | |
2216 | template<class E1, class E2> | |
2217 | BOOST_UBLAS_INLINE | |
2218 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2219 | lower_tag) { | |
2220 | typedef typename E1::orientation_category orientation_category; | |
2221 | inplace_solve (e1, e2, | |
2222 | lower_tag (), orientation_category ()); | |
2223 | } | |
2224 | template<class E1, class E2> | |
2225 | BOOST_UBLAS_INLINE | |
2226 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2227 | unit_lower_tag) { | |
2228 | typedef typename E1::orientation_category orientation_category; | |
2229 | inplace_solve (triangular_adaptor<const E1, unit_lower> (e1 ()), e2, | |
2230 | unit_lower_tag (), orientation_category ()); | |
2231 | } | |
2232 | ||
2233 | // Dense (proxy) case | |
2234 | template<class E1, class E2> | |
2235 | BOOST_UBLAS_INLINE | |
2236 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2237 | upper_tag, column_major_tag, dense_proxy_tag) { | |
2238 | typedef typename E2::size_type size_type; | |
2239 | typedef typename E2::difference_type difference_type; | |
2240 | typedef typename E2::value_type value_type; | |
2241 | ||
2242 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2243 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2244 | size_type size = e2 ().size (); | |
2245 | for (difference_type n = size - 1; n >= 0; -- n) { | |
2246 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2247 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2248 | #else | |
2249 | if (e1 () (n, n) == value_type/*zero*/()) | |
2250 | singular ().raise (); | |
2251 | #endif | |
2252 | value_type t = e2 () (n) /= e1 () (n, n); | |
2253 | if (t != value_type/*zero*/()) { | |
2254 | for (difference_type m = n - 1; m >= 0; -- m) | |
2255 | e2 () (m) -= e1 () (m, n) * t; | |
2256 | } | |
2257 | } | |
2258 | } | |
2259 | // Packed (proxy) case | |
2260 | template<class E1, class E2> | |
2261 | BOOST_UBLAS_INLINE | |
2262 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2263 | upper_tag, column_major_tag, packed_proxy_tag) { | |
2264 | typedef typename E2::size_type size_type; | |
2265 | typedef typename E2::difference_type difference_type; | |
2266 | typedef typename E2::value_type value_type; | |
2267 | ||
2268 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2269 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2270 | size_type size = e2 ().size (); | |
2271 | for (difference_type n = size - 1; n >= 0; -- n) { | |
2272 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2273 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2274 | #else | |
2275 | if (e1 () (n, n) == value_type/*zero*/()) | |
2276 | singular ().raise (); | |
2277 | #endif | |
2278 | value_type t = e2 () (n) /= e1 () (n, n); | |
2279 | if (t != value_type/*zero*/()) { | |
2280 | typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n)); | |
2281 | typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n)); | |
2282 | while (it1e1 != it1e1_rend) { | |
2283 | e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1; | |
2284 | } | |
2285 | } | |
2286 | } | |
2287 | } | |
2288 | // Sparse (proxy) case | |
2289 | template<class E1, class E2> | |
2290 | BOOST_UBLAS_INLINE | |
2291 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2292 | upper_tag, column_major_tag, unknown_storage_tag) { | |
2293 | typedef typename E2::size_type size_type; | |
2294 | typedef typename E2::difference_type difference_type; | |
2295 | typedef typename E2::value_type value_type; | |
2296 | ||
2297 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2298 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2299 | size_type size = e2 ().size (); | |
2300 | for (difference_type n = size - 1; n >= 0; -- n) { | |
2301 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2302 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2303 | #else | |
2304 | if (e1 () (n, n) == value_type/*zero*/()) | |
2305 | singular ().raise (); | |
2306 | #endif | |
2307 | value_type t = e2 () (n) /= e1 () (n, n); | |
2308 | if (t != value_type/*zero*/()) { | |
2309 | typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n)); | |
2310 | typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n)); | |
2311 | while (it1e1 != it1e1_rend) { | |
2312 | e2 () (it1e1.index1 ()) -= *it1e1 * t, ++ it1e1; | |
2313 | } | |
2314 | } | |
2315 | } | |
2316 | } | |
2317 | ||
2318 | // Dense (proxy) case | |
2319 | template<class E1, class E2> | |
2320 | BOOST_UBLAS_INLINE | |
2321 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2322 | upper_tag, row_major_tag, dense_proxy_tag) { | |
2323 | typedef typename E2::size_type size_type; | |
2324 | typedef typename E2::difference_type difference_type; | |
2325 | typedef typename E2::value_type value_type; | |
2326 | ||
2327 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2328 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2329 | size_type size = e1 ().size1 (); | |
2330 | for (difference_type n = size-1; n >=0; -- n) { | |
2331 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2332 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2333 | #else | |
2334 | if (e1 () (n, n) == value_type/*zero*/()) | |
2335 | singular ().raise (); | |
2336 | #endif | |
2337 | value_type t = e2 () (n); | |
2338 | for (difference_type m = n + 1; m < static_cast<difference_type>(e1 ().size2()); ++ m) { | |
2339 | t -= e1 () (n, m) * e2 () (m); | |
2340 | } | |
2341 | e2() (n) = t / e1 () (n, n); | |
2342 | } | |
2343 | } | |
2344 | // Packed (proxy) case | |
2345 | template<class E1, class E2> | |
2346 | BOOST_UBLAS_INLINE | |
2347 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2348 | upper_tag, row_major_tag, packed_proxy_tag) { | |
2349 | typedef typename E2::size_type size_type; | |
2350 | typedef typename E2::difference_type difference_type; | |
2351 | typedef typename E2::value_type value_type; | |
2352 | ||
2353 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2354 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2355 | size_type size = e1 ().size1 (); | |
2356 | for (difference_type n = size-1; n >=0; -- n) { | |
2357 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2358 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2359 | #else | |
2360 | if (e1 () (n, n) == value_type/*zero*/()) | |
2361 | singular ().raise (); | |
2362 | #endif | |
2363 | value_type t = e2 () (n); | |
2364 | typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, n+1)); | |
2365 | typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, e1 ().size2 ())); | |
2366 | while (it2e1 != it2e1_end) { | |
2367 | t -= *it2e1 * e2 () (it2e1.index2()); | |
2368 | ++ it2e1; | |
2369 | } | |
2370 | e2() (n) = t / e1 () (n, n); | |
2371 | ||
2372 | } | |
2373 | } | |
2374 | // Sparse (proxy) case | |
2375 | template<class E1, class E2> | |
2376 | BOOST_UBLAS_INLINE | |
2377 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2378 | upper_tag, row_major_tag, unknown_storage_tag) { | |
2379 | typedef typename E2::size_type size_type; | |
2380 | typedef typename E2::difference_type difference_type; | |
2381 | typedef typename E2::value_type value_type; | |
2382 | ||
2383 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2384 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size (), bad_size ()); | |
2385 | size_type size = e1 ().size1 (); | |
2386 | for (difference_type n = size-1; n >=0; -- n) { | |
2387 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2388 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2389 | #else | |
2390 | if (e1 () (n, n) == value_type/*zero*/()) | |
2391 | singular ().raise (); | |
2392 | #endif | |
2393 | value_type t = e2 () (n); | |
2394 | typename E1::const_iterator2 it2e1 (e1 ().find2 (1, n, n+1)); | |
2395 | typename E1::const_iterator2 it2e1_end (e1 ().find2 (1, n, e1 ().size2 ())); | |
2396 | while (it2e1 != it2e1_end) { | |
2397 | t -= *it2e1 * e2 () (it2e1.index2()); | |
2398 | ++ it2e1; | |
2399 | } | |
2400 | e2() (n) = t / e1 () (n, n); | |
2401 | ||
2402 | } | |
2403 | } | |
2404 | ||
2405 | // Redirectors :-) | |
2406 | template<class E1, class E2> | |
2407 | BOOST_UBLAS_INLINE | |
2408 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2409 | upper_tag, column_major_tag) { | |
2410 | typedef typename E1::storage_category storage_category; | |
2411 | inplace_solve (e1, e2, | |
2412 | upper_tag (), column_major_tag (), storage_category ()); | |
2413 | } | |
2414 | template<class E1, class E2> | |
2415 | BOOST_UBLAS_INLINE | |
2416 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2417 | upper_tag, row_major_tag) { | |
2418 | typedef typename E1::storage_category storage_category; | |
2419 | inplace_solve (e1, e2, | |
2420 | upper_tag (), row_major_tag (), storage_category ()); | |
2421 | } | |
2422 | // Dispatcher | |
2423 | template<class E1, class E2> | |
2424 | BOOST_UBLAS_INLINE | |
2425 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2426 | upper_tag) { | |
2427 | typedef typename E1::orientation_category orientation_category; | |
2428 | inplace_solve (e1, e2, | |
2429 | upper_tag (), orientation_category ()); | |
2430 | } | |
2431 | template<class E1, class E2> | |
2432 | BOOST_UBLAS_INLINE | |
2433 | void inplace_solve (const matrix_expression<E1> &e1, vector_expression<E2> &e2, | |
2434 | unit_upper_tag) { | |
2435 | typedef typename E1::orientation_category orientation_category; | |
2436 | inplace_solve (triangular_adaptor<const E1, unit_upper> (e1 ()), e2, | |
2437 | unit_upper_tag (), orientation_category ()); | |
2438 | } | |
2439 | ||
2440 | template<class E1, class E2, class C> | |
2441 | BOOST_UBLAS_INLINE | |
2442 | typename matrix_vector_solve_traits<E1, E2>::result_type | |
2443 | solve (const matrix_expression<E1> &e1, | |
2444 | const vector_expression<E2> &e2, | |
2445 | C) { | |
2446 | typename matrix_vector_solve_traits<E1, E2>::result_type r (e2); | |
2447 | inplace_solve (e1, r, C ()); | |
2448 | return r; | |
2449 | } | |
2450 | ||
2451 | ||
2452 | // Redirectors :-) | |
2453 | template<class E1, class E2> | |
2454 | BOOST_UBLAS_INLINE | |
2455 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2456 | lower_tag, row_major_tag) { | |
2457 | typedef typename E2::storage_category storage_category; | |
2458 | inplace_solve (trans(e2), e1, | |
2459 | upper_tag (), column_major_tag (), storage_category ()); | |
2460 | } | |
2461 | template<class E1, class E2> | |
2462 | BOOST_UBLAS_INLINE | |
2463 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2464 | lower_tag, column_major_tag) { | |
2465 | typedef typename E2::storage_category storage_category; | |
2466 | inplace_solve (trans (e2), e1, | |
2467 | upper_tag (), row_major_tag (), storage_category ()); | |
2468 | } | |
2469 | // Dispatcher | |
2470 | template<class E1, class E2> | |
2471 | BOOST_UBLAS_INLINE | |
2472 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2473 | lower_tag) { | |
2474 | typedef typename E2::orientation_category orientation_category; | |
2475 | inplace_solve (e1, e2, | |
2476 | lower_tag (), orientation_category ()); | |
2477 | } | |
2478 | template<class E1, class E2> | |
2479 | BOOST_UBLAS_INLINE | |
2480 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2481 | unit_lower_tag) { | |
2482 | typedef typename E2::orientation_category orientation_category; | |
2483 | inplace_solve (e1, triangular_adaptor<const E2, unit_lower> (e2 ()), | |
2484 | unit_lower_tag (), orientation_category ()); | |
2485 | } | |
2486 | ||
2487 | ||
2488 | // Redirectors :-) | |
2489 | template<class E1, class E2> | |
2490 | BOOST_UBLAS_INLINE | |
2491 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2492 | upper_tag, row_major_tag) { | |
2493 | typedef typename E2::storage_category storage_category; | |
2494 | inplace_solve (trans(e2), e1, | |
2495 | lower_tag (), column_major_tag (), storage_category ()); | |
2496 | } | |
2497 | template<class E1, class E2> | |
2498 | BOOST_UBLAS_INLINE | |
2499 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2500 | upper_tag, column_major_tag) { | |
2501 | typedef typename E2::storage_category storage_category; | |
2502 | inplace_solve (trans (e2), e1, | |
2503 | lower_tag (), row_major_tag (), storage_category ()); | |
2504 | } | |
2505 | // Dispatcher | |
2506 | template<class E1, class E2> | |
2507 | BOOST_UBLAS_INLINE | |
2508 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2509 | upper_tag) { | |
2510 | typedef typename E2::orientation_category orientation_category; | |
2511 | inplace_solve (e1, e2, | |
2512 | upper_tag (), orientation_category ()); | |
2513 | } | |
2514 | template<class E1, class E2> | |
2515 | BOOST_UBLAS_INLINE | |
2516 | void inplace_solve (vector_expression<E1> &e1, const matrix_expression<E2> &e2, | |
2517 | unit_upper_tag) { | |
2518 | typedef typename E2::orientation_category orientation_category; | |
2519 | inplace_solve (e1, triangular_adaptor<const E2, unit_upper> (e2 ()), | |
2520 | unit_upper_tag (), orientation_category ()); | |
2521 | } | |
2522 | ||
2523 | template<class E1, class E2, class C> | |
2524 | BOOST_UBLAS_INLINE | |
2525 | typename matrix_vector_solve_traits<E1, E2>::result_type | |
2526 | solve (const vector_expression<E1> &e1, | |
2527 | const matrix_expression<E2> &e2, | |
2528 | C) { | |
2529 | typename matrix_vector_solve_traits<E1, E2>::result_type r (e1); | |
2530 | inplace_solve (r, e2, C ()); | |
2531 | return r; | |
2532 | } | |
2533 | ||
2534 | template<class E1, class E2> | |
2535 | struct matrix_matrix_solve_traits { | |
2536 | typedef typename promote_traits<typename E1::value_type, typename E2::value_type>::promote_type promote_type; | |
2537 | typedef matrix<promote_type> result_type; | |
2538 | }; | |
2539 | ||
2540 | // Operations: | |
2541 | // k * n * (n - 1) / 2 + k * n = k * n * (n + 1) / 2 multiplications, | |
2542 | // k * n * (n - 1) / 2 additions | |
2543 | ||
2544 | // Dense (proxy) case | |
2545 | template<class E1, class E2> | |
2546 | BOOST_UBLAS_INLINE | |
2547 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2548 | lower_tag, dense_proxy_tag) { | |
2549 | typedef typename E2::size_type size_type; | |
2550 | typedef typename E2::value_type value_type; | |
2551 | ||
2552 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2553 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ()); | |
2554 | size_type size1 = e2 ().size1 (); | |
2555 | size_type size2 = e2 ().size2 (); | |
2556 | for (size_type n = 0; n < size1; ++ n) { | |
2557 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2558 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2559 | #else | |
2560 | if (e1 () (n, n) == value_type/*zero*/()) | |
2561 | singular ().raise (); | |
2562 | #endif | |
2563 | for (size_type l = 0; l < size2; ++ l) { | |
2564 | value_type t = e2 () (n, l) /= e1 () (n, n); | |
2565 | if (t != value_type/*zero*/()) { | |
2566 | for (size_type m = n + 1; m < size1; ++ m) | |
2567 | e2 () (m, l) -= e1 () (m, n) * t; | |
2568 | } | |
2569 | } | |
2570 | } | |
2571 | } | |
2572 | // Packed (proxy) case | |
2573 | template<class E1, class E2> | |
2574 | BOOST_UBLAS_INLINE | |
2575 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2576 | lower_tag, packed_proxy_tag) { | |
2577 | typedef typename E2::size_type size_type; | |
2578 | typedef typename E2::difference_type difference_type; | |
2579 | typedef typename E2::value_type value_type; | |
2580 | ||
2581 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2582 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ()); | |
2583 | size_type size1 = e2 ().size1 (); | |
2584 | size_type size2 = e2 ().size2 (); | |
2585 | for (size_type n = 0; n < size1; ++ n) { | |
2586 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2587 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2588 | #else | |
2589 | if (e1 () (n, n) == value_type/*zero*/()) | |
2590 | singular ().raise (); | |
2591 | #endif | |
2592 | for (size_type l = 0; l < size2; ++ l) { | |
2593 | value_type t = e2 () (n, l) /= e1 () (n, n); | |
2594 | if (t != value_type/*zero*/()) { | |
2595 | typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n)); | |
2596 | typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n)); | |
2597 | difference_type m (it1e1_end - it1e1); | |
2598 | while (-- m >= 0) | |
2599 | e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1; | |
2600 | } | |
2601 | } | |
2602 | } | |
2603 | } | |
2604 | // Sparse (proxy) case | |
2605 | template<class E1, class E2> | |
2606 | BOOST_UBLAS_INLINE | |
2607 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2608 | lower_tag, unknown_storage_tag) { | |
2609 | typedef typename E2::size_type size_type; | |
2610 | typedef typename E2::value_type value_type; | |
2611 | ||
2612 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2613 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ()); | |
2614 | size_type size1 = e2 ().size1 (); | |
2615 | size_type size2 = e2 ().size2 (); | |
2616 | for (size_type n = 0; n < size1; ++ n) { | |
2617 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2618 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2619 | #else | |
2620 | if (e1 () (n, n) == value_type/*zero*/()) | |
2621 | singular ().raise (); | |
2622 | #endif | |
2623 | for (size_type l = 0; l < size2; ++ l) { | |
2624 | value_type t = e2 () (n, l) /= e1 () (n, n); | |
2625 | if (t != value_type/*zero*/()) { | |
2626 | typename E1::const_iterator1 it1e1 (e1 ().find1 (1, n + 1, n)); | |
2627 | typename E1::const_iterator1 it1e1_end (e1 ().find1 (1, e1 ().size1 (), n)); | |
2628 | while (it1e1 != it1e1_end) | |
2629 | e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1; | |
2630 | } | |
2631 | } | |
2632 | } | |
2633 | } | |
2634 | // Dispatcher | |
2635 | template<class E1, class E2> | |
2636 | BOOST_UBLAS_INLINE | |
2637 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2638 | lower_tag) { | |
2639 | typedef typename E1::storage_category dispatch_category; | |
2640 | inplace_solve (e1, e2, | |
2641 | lower_tag (), dispatch_category ()); | |
2642 | } | |
2643 | template<class E1, class E2> | |
2644 | BOOST_UBLAS_INLINE | |
2645 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2646 | unit_lower_tag) { | |
2647 | typedef typename E1::storage_category dispatch_category; | |
2648 | inplace_solve (triangular_adaptor<const E1, unit_lower> (e1 ()), e2, | |
2649 | unit_lower_tag (), dispatch_category ()); | |
2650 | } | |
2651 | ||
2652 | // Dense (proxy) case | |
2653 | template<class E1, class E2> | |
2654 | BOOST_UBLAS_INLINE | |
2655 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2656 | upper_tag, dense_proxy_tag) { | |
2657 | typedef typename E2::size_type size_type; | |
2658 | typedef typename E2::difference_type difference_type; | |
2659 | typedef typename E2::value_type value_type; | |
2660 | ||
2661 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2662 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ()); | |
2663 | size_type size1 = e2 ().size1 (); | |
2664 | size_type size2 = e2 ().size2 (); | |
2665 | for (difference_type n = size1 - 1; n >= 0; -- n) { | |
2666 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2667 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2668 | #else | |
2669 | if (e1 () (n, n) == value_type/*zero*/()) | |
2670 | singular ().raise (); | |
2671 | #endif | |
2672 | for (difference_type l = size2 - 1; l >= 0; -- l) { | |
2673 | value_type t = e2 () (n, l) /= e1 () (n, n); | |
2674 | if (t != value_type/*zero*/()) { | |
2675 | for (difference_type m = n - 1; m >= 0; -- m) | |
2676 | e2 () (m, l) -= e1 () (m, n) * t; | |
2677 | } | |
2678 | } | |
2679 | } | |
2680 | } | |
2681 | // Packed (proxy) case | |
2682 | template<class E1, class E2> | |
2683 | BOOST_UBLAS_INLINE | |
2684 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2685 | upper_tag, packed_proxy_tag) { | |
2686 | typedef typename E2::size_type size_type; | |
2687 | typedef typename E2::difference_type difference_type; | |
2688 | typedef typename E2::value_type value_type; | |
2689 | ||
2690 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2691 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ()); | |
2692 | size_type size1 = e2 ().size1 (); | |
2693 | size_type size2 = e2 ().size2 (); | |
2694 | for (difference_type n = size1 - 1; n >= 0; -- n) { | |
2695 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2696 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2697 | #else | |
2698 | if (e1 () (n, n) == value_type/*zero*/()) | |
2699 | singular ().raise (); | |
2700 | #endif | |
2701 | for (difference_type l = size2 - 1; l >= 0; -- l) { | |
2702 | value_type t = e2 () (n, l) /= e1 () (n, n); | |
2703 | if (t != value_type/*zero*/()) { | |
2704 | typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n)); | |
2705 | typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n)); | |
2706 | difference_type m (it1e1_rend - it1e1); | |
2707 | while (-- m >= 0) | |
2708 | e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1; | |
2709 | } | |
2710 | } | |
2711 | } | |
2712 | } | |
2713 | // Sparse (proxy) case | |
2714 | template<class E1, class E2> | |
2715 | BOOST_UBLAS_INLINE | |
2716 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2717 | upper_tag, unknown_storage_tag) { | |
2718 | typedef typename E2::size_type size_type; | |
2719 | typedef typename E2::difference_type difference_type; | |
2720 | typedef typename E2::value_type value_type; | |
2721 | ||
2722 | BOOST_UBLAS_CHECK (e1 ().size1 () == e1 ().size2 (), bad_size ()); | |
2723 | BOOST_UBLAS_CHECK (e1 ().size2 () == e2 ().size1 (), bad_size ()); | |
2724 | size_type size1 = e2 ().size1 (); | |
2725 | size_type size2 = e2 ().size2 (); | |
2726 | for (difference_type n = size1 - 1; n >= 0; -- n) { | |
2727 | #ifndef BOOST_UBLAS_SINGULAR_CHECK | |
2728 | BOOST_UBLAS_CHECK (e1 () (n, n) != value_type/*zero*/(), singular ()); | |
2729 | #else | |
2730 | if (e1 () (n, n) == value_type/*zero*/()) | |
2731 | singular ().raise (); | |
2732 | #endif | |
2733 | for (difference_type l = size2 - 1; l >= 0; -- l) { | |
2734 | value_type t = e2 () (n, l) /= e1 () (n, n); | |
2735 | if (t != value_type/*zero*/()) { | |
2736 | typename E1::const_reverse_iterator1 it1e1 (e1 ().find1 (1, n, n)); | |
2737 | typename E1::const_reverse_iterator1 it1e1_rend (e1 ().find1 (1, 0, n)); | |
2738 | while (it1e1 != it1e1_rend) | |
2739 | e2 () (it1e1.index1 (), l) -= *it1e1 * t, ++ it1e1; | |
2740 | } | |
2741 | } | |
2742 | } | |
2743 | } | |
2744 | // Dispatcher | |
2745 | template<class E1, class E2> | |
2746 | BOOST_UBLAS_INLINE | |
2747 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2748 | upper_tag) { | |
2749 | typedef typename E1::storage_category dispatch_category; | |
2750 | inplace_solve (e1, e2, | |
2751 | upper_tag (), dispatch_category ()); | |
2752 | } | |
2753 | template<class E1, class E2> | |
2754 | BOOST_UBLAS_INLINE | |
2755 | void inplace_solve (const matrix_expression<E1> &e1, matrix_expression<E2> &e2, | |
2756 | unit_upper_tag) { | |
2757 | typedef typename E1::storage_category dispatch_category; | |
2758 | inplace_solve (triangular_adaptor<const E1, unit_upper> (e1 ()), e2, | |
2759 | unit_upper_tag (), dispatch_category ()); | |
2760 | } | |
2761 | ||
2762 | template<class E1, class E2, class C> | |
2763 | BOOST_UBLAS_INLINE | |
2764 | typename matrix_matrix_solve_traits<E1, E2>::result_type | |
2765 | solve (const matrix_expression<E1> &e1, | |
2766 | const matrix_expression<E2> &e2, | |
2767 | C) { | |
2768 | typename matrix_matrix_solve_traits<E1, E2>::result_type r (e2); | |
2769 | inplace_solve (e1, r, C ()); | |
2770 | return r; | |
2771 | } | |
2772 | ||
2773 | }}} | |
2774 | ||
2775 | #endif |