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_SYMMETRIC_
14 #define _BOOST_UBLAS_SYMMETRIC_
15 
16 #include <boost/numeric/ublas/matrix.hpp>
17 #include <boost/numeric/ublas/triangular.hpp>
18 #include <boost/numeric/ublas/detail/temporary.hpp>
19 
20 // Iterators based on ideas of Jeremy Siek
21 // Symmetric matrices are square. Thanks to Peter Schmitteckert for spotting this.
22 
23 namespace boost { namespace numeric { namespace ublas {
24 
25     template<class M>
is_symmetric(const M & m)26     bool is_symmetric (const M &m) {
27         typedef typename M::size_type size_type;
28 
29         if (m.size1 () != m.size2 ())
30             return false;
31         size_type size = BOOST_UBLAS_SAME (m.size1 (), m.size2 ());
32         for (size_type i = 0; i < size; ++ i) {
33             for (size_type j = i; j < size; ++ j) {
34                 if (m (i, j) != m (j, i))
35                     return false;
36             }
37         }
38         return true;
39     }
40 
41     // Array based symmetric matrix class
42     template<class T, class TRI, class L, class A>
43     class symmetric_matrix:
44         public matrix_container<symmetric_matrix<T, TRI, L, A> > {
45 
46         typedef T *pointer;
47         typedef TRI triangular_type;
48         typedef L layout_type;
49         typedef symmetric_matrix<T, TRI, L, A> self_type;
50     public:
51 #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
52         using matrix_container<self_type>::operator ();
53 #endif
54         typedef typename A::size_type size_type;
55         typedef typename A::difference_type difference_type;
56         typedef T value_type;
57         typedef const T &const_reference;
58         typedef T &reference;
59         typedef A array_type;
60 
61         typedef const matrix_reference<const self_type> const_closure_type;
62         typedef matrix_reference<self_type> closure_type;
63         typedef vector<T, A> vector_temporary_type;
64         typedef matrix<T, L, A> matrix_temporary_type;  // general sub-matrix
65         typedef packed_tag storage_category;
66         typedef typename L::orientation_category orientation_category;
67 
68         // Construction and destruction
69         BOOST_UBLAS_INLINE
symmetric_matrix()70         symmetric_matrix ():
71             matrix_container<self_type> (),
72             size_ (0), data_ (0) {}
73         BOOST_UBLAS_INLINE
symmetric_matrix(size_type size)74         symmetric_matrix (size_type size):
75             matrix_container<self_type> (),
76             size_ (BOOST_UBLAS_SAME (size, size)), data_ (triangular_type::packed_size (layout_type (), size, size)) {
77         }
78         BOOST_UBLAS_INLINE
symmetric_matrix(size_type size1,size_type size2)79         symmetric_matrix (size_type size1, size_type size2):
80             matrix_container<self_type> (),
81             size_ (BOOST_UBLAS_SAME (size1, size2)), data_ (triangular_type::packed_size (layout_type (), size1, size2)) {
82         }
83         BOOST_UBLAS_INLINE
symmetric_matrix(size_type size,const array_type & data)84         symmetric_matrix (size_type size, const array_type &data):
85             matrix_container<self_type> (),
86             size_ (size), data_ (data) {}
87         BOOST_UBLAS_INLINE
symmetric_matrix(const symmetric_matrix & m)88         symmetric_matrix (const symmetric_matrix &m):
89             matrix_container<self_type> (),
90             size_ (m.size_), data_ (m.data_) {}
91         template<class AE>
92         BOOST_UBLAS_INLINE
symmetric_matrix(const matrix_expression<AE> & ae)93         symmetric_matrix (const matrix_expression<AE> &ae):
94             matrix_container<self_type> (),
95             size_ (BOOST_UBLAS_SAME (ae ().size1 (), ae ().size2 ())),
96             data_ (triangular_type::packed_size (layout_type (), size_, size_)) {
97             matrix_assign<scalar_assign> (*this, ae);
98         }
99 
100         // Accessors
101         BOOST_UBLAS_INLINE
size1() const102         size_type size1 () const {
103             return size_;
104         }
105         BOOST_UBLAS_INLINE
size2() const106         size_type size2 () const {
107             return size_;
108         }
109 
110         // Storage accessors
111         BOOST_UBLAS_INLINE
data() const112         const array_type &data () const {
113             return data_;
114         }
115         BOOST_UBLAS_INLINE
data()116         array_type &data () {
117             return data_;
118         }
119 
120         // Resizing
121         BOOST_UBLAS_INLINE
resize(size_type size,bool preserve=true)122         void resize (size_type size, bool preserve = true) {
123             if (preserve) {
124                 self_type temporary (size, size);
125                 detail::matrix_resize_preserve<layout_type, triangular_type> (*this, temporary);
126             }
127             else {
128                 data ().resize (triangular_type::packed_size (layout_type (), size, size));
129                 size_ = size;
130             }
131         }
132         BOOST_UBLAS_INLINE
resize(size_type size1,size_type size2,bool preserve=true)133         void resize (size_type size1, size_type size2, bool preserve = true) {
134             resize (BOOST_UBLAS_SAME (size1, size2), preserve);
135         }
136         BOOST_UBLAS_INLINE
resize_packed_preserve(size_type size)137         void resize_packed_preserve (size_type size) {
138             size_ = BOOST_UBLAS_SAME (size, size);
139             data ().resize (triangular_type::packed_size (layout_type (), size_, size_), value_type ());
140         }
141 
142         // Element access
143         BOOST_UBLAS_INLINE
operator ()(size_type i,size_type j) const144         const_reference operator () (size_type i, size_type j) const {
145             BOOST_UBLAS_CHECK (i < size_, bad_index ());
146             BOOST_UBLAS_CHECK (j < size_, bad_index ());
147             if (triangular_type::other (i, j))
148                 return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
149             else
150                 return data () [triangular_type::element (layout_type (), j, size_, i, size_)];
151         }
152         BOOST_UBLAS_INLINE
at_element(size_type i,size_type j)153         reference at_element (size_type i, size_type j) {
154             BOOST_UBLAS_CHECK (i < size_, bad_index ());
155             BOOST_UBLAS_CHECK (j < size_, bad_index ());
156             return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
157         }
158         BOOST_UBLAS_INLINE
operator ()(size_type i,size_type j)159         reference operator () (size_type i, size_type j) {
160             BOOST_UBLAS_CHECK (i < size_, bad_index ());
161             BOOST_UBLAS_CHECK (j < size_, bad_index ());
162             if (triangular_type::other (i, j))
163                 return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
164             else
165                 return data () [triangular_type::element (layout_type (), j, size_, i, size_)];
166         }
167 
168         // Element assignment
169         BOOST_UBLAS_INLINE
insert_element(size_type i,size_type j,const_reference t)170         reference insert_element (size_type i, size_type j, const_reference t) {
171             return (operator () (i, j) = t);
172         }
173         BOOST_UBLAS_INLINE
erase_element(size_type i,size_type j)174         void erase_element (size_type i, size_type j) {
175             operator () (i, j) = value_type/*zero*/();
176         }
177 
178         // Zeroing
179         BOOST_UBLAS_INLINE
clear()180         void clear () {
181             // data ().clear ();
182             std::fill (data ().begin (), data ().end (), value_type/*zero*/());
183         }
184 
185         // Assignment
186         BOOST_UBLAS_INLINE
operator =(const symmetric_matrix & m)187         symmetric_matrix &operator = (const symmetric_matrix &m) {
188             size_ = m.size_;
189             data () = m.data ();
190             return *this;
191         }
192         BOOST_UBLAS_INLINE
assign_temporary(symmetric_matrix & m)193         symmetric_matrix &assign_temporary (symmetric_matrix &m) {
194             swap (m);
195             return *this;
196         }
197         template<class AE>
198         BOOST_UBLAS_INLINE
operator =(const matrix_expression<AE> & ae)199         symmetric_matrix &operator = (const matrix_expression<AE> &ae) {
200             self_type temporary (ae);
201             return assign_temporary (temporary);
202         }
203         template<class AE>
204         BOOST_UBLAS_INLINE
assign(const matrix_expression<AE> & ae)205         symmetric_matrix &assign (const matrix_expression<AE> &ae) {
206             matrix_assign<scalar_assign> (*this, ae);
207             return *this;
208         }
209         template<class AE>
210         BOOST_UBLAS_INLINE
operator +=(const matrix_expression<AE> & ae)211         symmetric_matrix& operator += (const matrix_expression<AE> &ae) {
212             self_type temporary (*this + ae);
213             return assign_temporary (temporary);
214         }
215         template<class AE>
216         BOOST_UBLAS_INLINE
plus_assign(const matrix_expression<AE> & ae)217         symmetric_matrix &plus_assign (const matrix_expression<AE> &ae) {
218             matrix_assign<scalar_plus_assign> (*this, ae);
219             return *this;
220         }
221         template<class AE>
222         BOOST_UBLAS_INLINE
operator -=(const matrix_expression<AE> & ae)223         symmetric_matrix& operator -= (const matrix_expression<AE> &ae) {
224             self_type temporary (*this - ae);
225             return assign_temporary (temporary);
226         }
227         template<class AE>
228         BOOST_UBLAS_INLINE
minus_assign(const matrix_expression<AE> & ae)229         symmetric_matrix &minus_assign (const matrix_expression<AE> &ae) {
230             matrix_assign<scalar_minus_assign> (*this, ae);
231             return *this;
232         }
233         template<class AT>
234         BOOST_UBLAS_INLINE
operator *=(const AT & at)235         symmetric_matrix& operator *= (const AT &at) {
236             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
237             return *this;
238         }
239         template<class AT>
240         BOOST_UBLAS_INLINE
operator /=(const AT & at)241         symmetric_matrix& operator /= (const AT &at) {
242             matrix_assign_scalar<scalar_divides_assign> (*this, at);
243             return *this;
244         }
245 
246         // Swapping
247         BOOST_UBLAS_INLINE
swap(symmetric_matrix & m)248         void swap (symmetric_matrix &m) {
249             if (this != &m) {
250                 std::swap (size_, m.size_);
251                 data ().swap (m.data ());
252             }
253         }
254         BOOST_UBLAS_INLINE
swap(symmetric_matrix & m1,symmetric_matrix & m2)255         friend void swap (symmetric_matrix &m1, symmetric_matrix &m2) {
256             m1.swap (m2);
257         }
258 
259         // Iterator types
260 #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
261         typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
262         typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
263         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
264         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
265 #else
266         class const_iterator1;
267         class iterator1;
268         class const_iterator2;
269         class iterator2;
270 #endif
271         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
272         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
273         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
274         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
275 
276         // Element lookup
277         BOOST_UBLAS_INLINE
find1(int,size_type i,size_type j) const278         const_iterator1 find1 (int /* rank */, size_type i, size_type j) const {
279             return const_iterator1 (*this, i, j);
280         }
281         BOOST_UBLAS_INLINE
find1(int rank,size_type i,size_type j)282         iterator1 find1 (int rank, size_type i, size_type j) {
283             if (rank == 1)
284                 i = triangular_type::mutable_restrict1 (i, j, size1(), size2());
285             if (rank == 0)
286                 i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2());
287             return iterator1 (*this, i, j);
288         }
289         BOOST_UBLAS_INLINE
find2(int,size_type i,size_type j) const290         const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
291             return const_iterator2 (*this, i, j);
292         }
293         BOOST_UBLAS_INLINE
find2(int rank,size_type i,size_type j)294         iterator2 find2 (int rank, size_type i, size_type j) {
295             if (rank == 1)
296                 j = triangular_type::mutable_restrict2 (i, j, size1(), size2());
297             if (rank == 0)
298                 j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2());
299             return iterator2 (*this, i, j);
300         }
301 
302         // Iterators simply are indices.
303 
304 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
305         class const_iterator1:
306             public container_const_reference<symmetric_matrix>,
307             public random_access_iterator_base<dense_random_access_iterator_tag,
308                                                const_iterator1, value_type> {
309         public:
310             typedef typename symmetric_matrix::value_type value_type;
311             typedef typename symmetric_matrix::difference_type difference_type;
312             typedef typename symmetric_matrix::const_reference reference;
313             typedef const typename symmetric_matrix::pointer pointer;
314 
315             typedef const_iterator2 dual_iterator_type;
316             typedef const_reverse_iterator2 dual_reverse_iterator_type;
317 
318             // Construction and destruction
319             BOOST_UBLAS_INLINE
const_iterator1()320             const_iterator1 ():
321                 container_const_reference<self_type> (), it1_ (), it2_ () {}
322             BOOST_UBLAS_INLINE
const_iterator1(const self_type & m,size_type it1,size_type it2)323             const_iterator1 (const self_type &m, size_type it1, size_type it2):
324                 container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
325             BOOST_UBLAS_INLINE
const_iterator1(const iterator1 & it)326             const_iterator1 (const iterator1 &it):
327                 container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
328 
329             // Arithmetic
330             BOOST_UBLAS_INLINE
operator ++()331             const_iterator1 &operator ++ () {
332                 ++ it1_;
333                 return *this;
334             }
335             BOOST_UBLAS_INLINE
operator --()336             const_iterator1 &operator -- () {
337                 -- it1_;
338                 return *this;
339             }
340             BOOST_UBLAS_INLINE
operator +=(difference_type n)341             const_iterator1 &operator += (difference_type n) {
342                 it1_ += n;
343                 return *this;
344             }
345             BOOST_UBLAS_INLINE
operator -=(difference_type n)346             const_iterator1 &operator -= (difference_type n) {
347                 it1_ -= n;
348                 return *this;
349             }
350             BOOST_UBLAS_INLINE
operator -(const const_iterator1 & it) const351             difference_type operator - (const const_iterator1 &it) const {
352                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
353                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
354                 return it1_ - it.it1_;
355             }
356 
357             // Dereference
358             BOOST_UBLAS_INLINE
operator *() const359             const_reference operator * () const {
360                 return (*this) () (it1_, it2_);
361             }
362             BOOST_UBLAS_INLINE
operator [](difference_type n) const363             const_reference operator [] (difference_type n) const {
364                 return *(*this + n);
365             }
366 
367 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
368             BOOST_UBLAS_INLINE
369 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
370             typename self_type::
371 #endif
begin() const372             const_iterator2 begin () const {
373                 return (*this) ().find2 (1, it1_, 0);
374             }
375             BOOST_UBLAS_INLINE
376 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
377             typename self_type::
378 #endif
cbegin() const379             const_iterator2 cbegin () const {
380                 return begin ();
381             }
382             BOOST_UBLAS_INLINE
383 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
384             typename self_type::
385 #endif
end() const386             const_iterator2 end () const {
387                 return (*this) ().find2 (1, it1_, (*this) ().size2 ());
388             }
389             BOOST_UBLAS_INLINE
390 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
391             typename self_type::
392 #endif
cend() const393             const_iterator2 cend () const {
394                 return end ();
395             }
396             BOOST_UBLAS_INLINE
397 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
398             typename self_type::
399 #endif
rbegin() const400             const_reverse_iterator2 rbegin () const {
401                 return const_reverse_iterator2 (end ());
402             }
403             BOOST_UBLAS_INLINE
404 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
405             typename self_type::
406 #endif
crbegin() const407             const_reverse_iterator2 crbegin () const {
408                 return rbegin ();
409             }
410             BOOST_UBLAS_INLINE
411 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
412             typename self_type::
413 #endif
rend() const414             const_reverse_iterator2 rend () const {
415                 return const_reverse_iterator2 (begin ());
416             }
417             BOOST_UBLAS_INLINE
418 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
419             typename self_type::
420 #endif
crend() const421             const_reverse_iterator2 crend () const {
422                 return rend ();
423             }
424 #endif
425 
426             // Indices
427             BOOST_UBLAS_INLINE
index1() const428             size_type index1 () const {
429                 return it1_;
430             }
431             BOOST_UBLAS_INLINE
index2() const432             size_type index2 () const {
433                 return it2_;
434             }
435 
436             // Assignment
437             BOOST_UBLAS_INLINE
operator =(const const_iterator1 & it)438             const_iterator1 &operator = (const const_iterator1 &it) {
439                 container_const_reference<self_type>::assign (&it ());
440                 it1_ = it.it1_;
441                 it2_ = it.it2_;
442                 return *this;
443             }
444 
445             // Comparison
446             BOOST_UBLAS_INLINE
operator ==(const const_iterator1 & it) const447             bool operator == (const const_iterator1 &it) const {
448                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
449                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
450                 return it1_ == it.it1_;
451             }
452             BOOST_UBLAS_INLINE
operator <(const const_iterator1 & it) const453             bool operator < (const const_iterator1 &it) const {
454                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
455                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
456                 return it1_ < it.it1_;
457             }
458 
459         private:
460             size_type it1_;
461             size_type it2_;
462         };
463 #endif
464 
465         BOOST_UBLAS_INLINE
begin1() const466         const_iterator1 begin1 () const {
467             return find1 (0, 0, 0);
468         }
469         BOOST_UBLAS_INLINE
cbegin1() const470         const_iterator1 cbegin1 () const {
471             return begin1 ();
472         }
473         BOOST_UBLAS_INLINE
end1() const474         const_iterator1 end1 () const {
475             return find1 (0, size_, 0);
476         }
477         BOOST_UBLAS_INLINE
cend1() const478         const_iterator1 cend1 () const {
479             return end1 ();
480         }
481 
482 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
483         class iterator1:
484             public container_reference<symmetric_matrix>,
485             public random_access_iterator_base<packed_random_access_iterator_tag,
486                                                iterator1, value_type> {
487         public:
488             typedef typename symmetric_matrix::value_type value_type;
489             typedef typename symmetric_matrix::difference_type difference_type;
490             typedef typename symmetric_matrix::reference reference;
491             typedef typename symmetric_matrix::pointer pointer;
492             typedef iterator2 dual_iterator_type;
493             typedef reverse_iterator2 dual_reverse_iterator_type;
494 
495             // Construction and destruction
496             BOOST_UBLAS_INLINE
iterator1()497             iterator1 ():
498                 container_reference<self_type> (), it1_ (), it2_ () {}
499             BOOST_UBLAS_INLINE
iterator1(self_type & m,size_type it1,size_type it2)500             iterator1 (self_type &m, size_type it1, size_type it2):
501                 container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
502 
503             // Arithmetic
504             BOOST_UBLAS_INLINE
operator ++()505             iterator1 &operator ++ () {
506                 ++ it1_;
507                 return *this;
508             }
509             BOOST_UBLAS_INLINE
operator --()510             iterator1 &operator -- () {
511                 -- it1_;
512                 return *this;
513             }
514             BOOST_UBLAS_INLINE
operator +=(difference_type n)515             iterator1 &operator += (difference_type n) {
516                 it1_ += n;
517                 return *this;
518             }
519             BOOST_UBLAS_INLINE
operator -=(difference_type n)520             iterator1 &operator -= (difference_type n) {
521                 it1_ -= n;
522                 return *this;
523             }
524             BOOST_UBLAS_INLINE
operator -(const iterator1 & it) const525             difference_type operator - (const iterator1 &it) const {
526                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
527                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
528                 return it1_ - it.it1_;
529             }
530 
531             // Dereference
532             BOOST_UBLAS_INLINE
operator *() const533             reference operator * () const {
534                 return (*this) () (it1_, it2_);
535             }
536             BOOST_UBLAS_INLINE
operator [](difference_type n) const537             reference operator [] (difference_type n) const {
538                 return *(*this + n);
539             }
540 
541 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
542             BOOST_UBLAS_INLINE
543 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
544             typename self_type::
545 #endif
begin() const546             iterator2 begin () const {
547                 return (*this) ().find2 (1, it1_, 0);
548             }
549             BOOST_UBLAS_INLINE
550 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
551             typename self_type::
552 #endif
end() const553             iterator2 end () const {
554                 return (*this) ().find2 (1, it1_, (*this) ().size2 ());
555             }
556             BOOST_UBLAS_INLINE
557 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
558             typename self_type::
559 #endif
rbegin() const560             reverse_iterator2 rbegin () const {
561                 return reverse_iterator2 (end ());
562             }
563             BOOST_UBLAS_INLINE
564 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
565             typename self_type::
566 #endif
rend() const567             reverse_iterator2 rend () const {
568                 return reverse_iterator2 (begin ());
569             }
570 #endif
571 
572             // Indices
573             BOOST_UBLAS_INLINE
index1() const574             size_type index1 () const {
575                 return it1_;
576             }
577             BOOST_UBLAS_INLINE
index2() const578             size_type index2 () const {
579                 return it2_;
580             }
581 
582             // Assignment
583             BOOST_UBLAS_INLINE
operator =(const iterator1 & it)584             iterator1 &operator = (const iterator1 &it) {
585                 container_reference<self_type>::assign (&it ());
586                 it1_ = it.it1_;
587                 it2_ = it.it2_;
588                 return *this;
589             }
590 
591             // Comparison
592             BOOST_UBLAS_INLINE
operator ==(const iterator1 & it) const593             bool operator == (const iterator1 &it) const {
594                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
595                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
596                 return it1_ == it.it1_;
597             }
598             BOOST_UBLAS_INLINE
operator <(const iterator1 & it) const599             bool operator < (const iterator1 &it) const {
600                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
601                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
602                 return it1_ < it.it1_;
603             }
604 
605         private:
606             size_type it1_;
607             size_type it2_;
608 
609             friend class const_iterator1;
610         };
611 #endif
612 
613         BOOST_UBLAS_INLINE
begin1()614         iterator1 begin1 () {
615             return find1 (0, 0, 0);
616         }
617         BOOST_UBLAS_INLINE
end1()618         iterator1 end1 () {
619             return find1 (0, size_, 0);
620         }
621 
622 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
623         class const_iterator2:
624             public container_const_reference<symmetric_matrix>,
625             public random_access_iterator_base<dense_random_access_iterator_tag,
626                                                const_iterator2, value_type> {
627         public:
628             typedef typename symmetric_matrix::value_type value_type;
629             typedef typename symmetric_matrix::difference_type difference_type;
630             typedef typename symmetric_matrix::const_reference reference;
631             typedef const typename symmetric_matrix::pointer pointer;
632 
633             typedef const_iterator1 dual_iterator_type;
634             typedef const_reverse_iterator1 dual_reverse_iterator_type;
635 
636             // Construction and destruction
637             BOOST_UBLAS_INLINE
const_iterator2()638             const_iterator2 ():
639                 container_const_reference<self_type> (), it1_ (), it2_ () {}
640             BOOST_UBLAS_INLINE
const_iterator2(const self_type & m,size_type it1,size_type it2)641             const_iterator2 (const self_type &m, size_type it1, size_type it2):
642                 container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
643             BOOST_UBLAS_INLINE
const_iterator2(const iterator2 & it)644             const_iterator2 (const iterator2 &it):
645                 container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
646 
647             // Arithmetic
648             BOOST_UBLAS_INLINE
operator ++()649             const_iterator2 &operator ++ () {
650                 ++ it2_;
651                 return *this;
652             }
653             BOOST_UBLAS_INLINE
operator --()654             const_iterator2 &operator -- () {
655                 -- it2_;
656                 return *this;
657             }
658             BOOST_UBLAS_INLINE
operator +=(difference_type n)659             const_iterator2 &operator += (difference_type n) {
660                 it2_ += n;
661                 return *this;
662             }
663             BOOST_UBLAS_INLINE
operator -=(difference_type n)664             const_iterator2 &operator -= (difference_type n) {
665                 it2_ -= n;
666                 return *this;
667             }
668             BOOST_UBLAS_INLINE
operator -(const const_iterator2 & it) const669             difference_type operator - (const const_iterator2 &it) const {
670                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
671                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
672                 return it2_ - it.it2_;
673             }
674 
675             // Dereference
676             BOOST_UBLAS_INLINE
operator *() const677             const_reference operator * () const {
678                 return (*this) () (it1_, it2_);
679             }
680             BOOST_UBLAS_INLINE
operator [](difference_type n) const681             const_reference operator [] (difference_type n) const {
682                 return *(*this + n);
683             }
684 
685 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
686             BOOST_UBLAS_INLINE
687 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
688             typename self_type::
689 #endif
begin() const690             const_iterator1 begin () const {
691                 return (*this) ().find1 (1, 0, it2_);
692             }
693             BOOST_UBLAS_INLINE
694 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
695             typename self_type::
696 #endif
cbegin() const697             const_iterator1 cbegin () const {
698                 return begin ();
699             }
700             BOOST_UBLAS_INLINE
701 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
702             typename self_type::
703 #endif
end() const704             const_iterator1 end () const {
705                 return (*this) ().find1 (1, (*this) ().size1 (), it2_);
706             }
707             BOOST_UBLAS_INLINE
708 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
709             typename self_type::
710 #endif
cend() const711             const_iterator1 cend () const {
712                 return end ();
713             }
714             BOOST_UBLAS_INLINE
715 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
716             typename self_type::
717 #endif
rbegin() const718             const_reverse_iterator1 rbegin () const {
719                 return const_reverse_iterator1 (end ());
720             }
721             BOOST_UBLAS_INLINE
722 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
723             typename self_type::
724 #endif
crbegin() const725             const_reverse_iterator1 crbegin () const {
726                 return rbegin ();
727             }
728             BOOST_UBLAS_INLINE
729 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
730             typename self_type::
731 #endif
rend() const732             const_reverse_iterator1 rend () const {
733                 return const_reverse_iterator1 (begin ());
734             }
735             BOOST_UBLAS_INLINE
736 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
737             typename self_type::
738 #endif
crend() const739             const_reverse_iterator1 crend () const {
740                 return rend ();
741             }
742 #endif
743 
744             // Indices
745             BOOST_UBLAS_INLINE
index1() const746             size_type index1 () const {
747                 return it1_;
748             }
749             BOOST_UBLAS_INLINE
index2() const750             size_type index2 () const {
751                 return it2_;
752             }
753 
754             // Assignment
755             BOOST_UBLAS_INLINE
operator =(const const_iterator2 & it)756             const_iterator2 &operator = (const const_iterator2 &it) {
757                 container_const_reference<self_type>::assign (&it ());
758                 it1_ = it.it1_;
759                 it2_ = it.it2_;
760                 return *this;
761             }
762 
763             // Comparison
764             BOOST_UBLAS_INLINE
operator ==(const const_iterator2 & it) const765             bool operator == (const const_iterator2 &it) const {
766                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
767                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
768                 return it2_ == it.it2_;
769             }
770             BOOST_UBLAS_INLINE
operator <(const const_iterator2 & it) const771             bool operator < (const const_iterator2 &it) const {
772                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
773                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
774                 return it2_ < it.it2_;
775             }
776 
777         private:
778             size_type it1_;
779             size_type it2_;
780         };
781 #endif
782 
783         BOOST_UBLAS_INLINE
begin2() const784         const_iterator2 begin2 () const {
785             return find2 (0, 0, 0);
786         }
787         BOOST_UBLAS_INLINE
cbegin2() const788         const_iterator2 cbegin2 () const {
789             return begin2 ();
790         }
791         BOOST_UBLAS_INLINE
end2() const792         const_iterator2 end2 () const {
793             return find2 (0, 0, size_);
794         }
795         BOOST_UBLAS_INLINE
cend2() const796         const_iterator2 cend2 () const {
797             return end2 ();
798         }
799 
800 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
801         class iterator2:
802             public container_reference<symmetric_matrix>,
803             public random_access_iterator_base<packed_random_access_iterator_tag,
804                                                iterator2, value_type> {
805         public:
806             typedef typename symmetric_matrix::value_type value_type;
807             typedef typename symmetric_matrix::difference_type difference_type;
808             typedef typename symmetric_matrix::reference reference;
809             typedef typename symmetric_matrix::pointer pointer;
810 
811             typedef iterator1 dual_iterator_type;
812             typedef reverse_iterator1 dual_reverse_iterator_type;
813 
814             // Construction and destruction
815             BOOST_UBLAS_INLINE
iterator2()816             iterator2 ():
817                 container_reference<self_type> (), it1_ (), it2_ () {}
818             BOOST_UBLAS_INLINE
iterator2(self_type & m,size_type it1,size_type it2)819             iterator2 (self_type &m, size_type it1, size_type it2):
820                 container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
821 
822             // Arithmetic
823             BOOST_UBLAS_INLINE
operator ++()824             iterator2 &operator ++ () {
825                 ++ it2_;
826                 return *this;
827             }
828             BOOST_UBLAS_INLINE
operator --()829             iterator2 &operator -- () {
830                 -- it2_;
831                 return *this;
832             }
833             BOOST_UBLAS_INLINE
operator +=(difference_type n)834             iterator2 &operator += (difference_type n) {
835                 it2_ += n;
836                 return *this;
837             }
838             BOOST_UBLAS_INLINE
operator -=(difference_type n)839             iterator2 &operator -= (difference_type n) {
840                 it2_ -= n;
841                 return *this;
842             }
843             BOOST_UBLAS_INLINE
operator -(const iterator2 & it) const844             difference_type operator - (const iterator2 &it) const {
845                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
846                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
847                 return it2_ - it.it2_;
848             }
849 
850             // Dereference
851             BOOST_UBLAS_INLINE
operator *() const852             reference operator * () const {
853                 return (*this) () (it1_, it2_);
854             }
855             BOOST_UBLAS_INLINE
operator [](difference_type n) const856             reference operator [] (difference_type n) const {
857                 return *(*this + n);
858             }
859 
860 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
861             BOOST_UBLAS_INLINE
862 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
863             typename self_type::
864 #endif
begin() const865             iterator1 begin () const {
866                 return (*this) ().find1 (1, 0, it2_);
867             }
868             BOOST_UBLAS_INLINE
869 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
870             typename self_type::
871 #endif
end() const872             iterator1 end () const {
873                 return (*this) ().find1 (1, (*this) ().size1 (), it2_);
874             }
875             BOOST_UBLAS_INLINE
876 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
877             typename self_type::
878 #endif
rbegin() const879             reverse_iterator1 rbegin () const {
880                 return reverse_iterator1 (end ());
881             }
882             BOOST_UBLAS_INLINE
883 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
884             typename self_type::
885 #endif
rend() const886             reverse_iterator1 rend () const {
887                 return reverse_iterator1 (begin ());
888             }
889 #endif
890 
891             // Indices
892             BOOST_UBLAS_INLINE
index1() const893             size_type index1 () const {
894                 return it1_;
895             }
896             BOOST_UBLAS_INLINE
index2() const897             size_type index2 () const {
898                 return it2_;
899             }
900 
901             // Assignment
902             BOOST_UBLAS_INLINE
operator =(const iterator2 & it)903             iterator2 &operator = (const iterator2 &it) {
904                 container_reference<self_type>::assign (&it ());
905                 it1_ = it.it1_;
906                 it2_ = it.it2_;
907                 return *this;
908             }
909 
910             // Comparison
911             BOOST_UBLAS_INLINE
operator ==(const iterator2 & it) const912             bool operator == (const iterator2 &it) const {
913                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
914                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
915                 return it2_ == it.it2_;
916             }
917             BOOST_UBLAS_INLINE
operator <(const iterator2 & it) const918             bool operator < (const iterator2 &it) const {
919                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
920                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
921                 return it2_ < it.it2_;
922             }
923 
924         private:
925             size_type it1_;
926             size_type it2_;
927 
928             friend class const_iterator2;
929         };
930 #endif
931 
932         BOOST_UBLAS_INLINE
begin2()933         iterator2 begin2 () {
934             return find2 (0, 0, 0);
935         }
936         BOOST_UBLAS_INLINE
end2()937         iterator2 end2 () {
938             return find2 (0, 0, size_);
939         }
940 
941         // Reverse iterators
942 
943         BOOST_UBLAS_INLINE
rbegin1() const944         const_reverse_iterator1 rbegin1 () const {
945             return const_reverse_iterator1 (end1 ());
946         }
947         BOOST_UBLAS_INLINE
crbegin1() const948         const_reverse_iterator1 crbegin1 () const {
949             return rbegin1 ();
950         }
951         BOOST_UBLAS_INLINE
rend1() const952         const_reverse_iterator1 rend1 () const {
953             return const_reverse_iterator1 (begin1 ());
954         }
955         BOOST_UBLAS_INLINE
crend1() const956         const_reverse_iterator1 crend1 () const {
957             return rend1 ();
958         }
959 
960         BOOST_UBLAS_INLINE
rbegin1()961         reverse_iterator1 rbegin1 () {
962             return reverse_iterator1 (end1 ());
963         }
964         BOOST_UBLAS_INLINE
rend1()965         reverse_iterator1 rend1 () {
966             return reverse_iterator1 (begin1 ());
967         }
968 
969         BOOST_UBLAS_INLINE
rbegin2() const970         const_reverse_iterator2 rbegin2 () const {
971             return const_reverse_iterator2 (end2 ());
972         }
973         BOOST_UBLAS_INLINE
crbegin2() const974         const_reverse_iterator2 crbegin2 () const {
975             return rbegin2 ();
976         }
977         BOOST_UBLAS_INLINE
rend2() const978         const_reverse_iterator2 rend2 () const {
979             return const_reverse_iterator2 (begin2 ());
980         }
981         BOOST_UBLAS_INLINE
crend2() const982         const_reverse_iterator2 crend2 () const {
983             return rend2 ();
984         }
985         BOOST_UBLAS_INLINE
rbegin2()986         reverse_iterator2 rbegin2 () {
987             return reverse_iterator2 (end2 ());
988         }
989         BOOST_UBLAS_INLINE
rend2()990         reverse_iterator2 rend2 () {
991             return reverse_iterator2 (begin2 ());
992         }
993 
994     private:
995         size_type size_;
996         array_type data_;
997     };
998 
999 
1000     // Symmetric matrix adaptor class
1001     template<class M, class TRI>
1002     class symmetric_adaptor:
1003         public matrix_expression<symmetric_adaptor<M, TRI> > {
1004 
1005         typedef symmetric_adaptor<M, TRI> self_type;
1006     public:
1007 #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
1008         using matrix_expression<self_type>::operator ();
1009 #endif
1010         typedef const M const_matrix_type;
1011         typedef M matrix_type;
1012         typedef TRI triangular_type;
1013         typedef typename M::size_type size_type;
1014         typedef typename M::difference_type difference_type;
1015         typedef typename M::value_type value_type;
1016         typedef typename M::const_reference const_reference;
1017         typedef typename boost::mpl::if_<boost::is_const<M>,
1018                                           typename M::const_reference,
1019                                           typename M::reference>::type reference;
1020         typedef typename boost::mpl::if_<boost::is_const<M>,
1021                                           typename M::const_closure_type,
1022                                           typename M::closure_type>::type matrix_closure_type;
1023         typedef const self_type const_closure_type;
1024         typedef self_type closure_type;
1025         // Replaced by _temporary_traits to avoid type requirements on M
1026         //typedef typename M::vector_temporary_type vector_temporary_type;
1027         //typedef typename M::matrix_temporary_type matrix_temporary_type;
1028         typedef typename storage_restrict_traits<typename M::storage_category,
1029                                                  packed_proxy_tag>::storage_category storage_category;
1030         typedef typename M::orientation_category orientation_category;
1031 
1032         // Construction and destruction
1033         BOOST_UBLAS_INLINE
symmetric_adaptor(matrix_type & data)1034         symmetric_adaptor (matrix_type &data):
1035             matrix_expression<self_type> (),
1036             data_ (data) {
1037             BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
1038         }
1039         BOOST_UBLAS_INLINE
symmetric_adaptor(const symmetric_adaptor & m)1040         symmetric_adaptor (const symmetric_adaptor &m):
1041             matrix_expression<self_type> (),
1042             data_ (m.data_) {
1043             BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
1044         }
1045 
1046         // Accessors
1047         BOOST_UBLAS_INLINE
size1() const1048         size_type size1 () const {
1049             return data_.size1 ();
1050         }
1051         BOOST_UBLAS_INLINE
size2() const1052         size_type size2 () const {
1053             return data_.size2 ();
1054         }
1055 
1056         // Storage accessors
1057         BOOST_UBLAS_INLINE
data() const1058         const matrix_closure_type &data () const {
1059             return data_;
1060         }
1061         BOOST_UBLAS_INLINE
data()1062         matrix_closure_type &data () {
1063             return data_;
1064         }
1065 
1066         // Element access
1067 #ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
1068         BOOST_UBLAS_INLINE
operator ()(size_type i,size_type j) const1069         const_reference operator () (size_type i, size_type j) const {
1070             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
1071             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
1072             if (triangular_type::other (i, j))
1073                 return data () (i, j);
1074             else
1075                 return data () (j, i);
1076         }
1077         BOOST_UBLAS_INLINE
operator ()(size_type i,size_type j)1078         reference operator () (size_type i, size_type j) {
1079             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
1080             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
1081             if (triangular_type::other (i, j))
1082                 return data () (i, j);
1083             else
1084                 return data () (j, i);
1085         }
1086 #else
1087         BOOST_UBLAS_INLINE
operator ()(size_type i,size_type j) const1088         reference operator () (size_type i, size_type j) const {
1089             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
1090             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
1091             if (triangular_type::other (i, j))
1092                 return data () (i, j);
1093             else
1094                 return data () (j, i);
1095         }
1096 #endif
1097 
1098         // Assignment
1099         BOOST_UBLAS_INLINE
operator =(const symmetric_adaptor & m)1100         symmetric_adaptor &operator = (const symmetric_adaptor &m) {
1101             matrix_assign<scalar_assign, triangular_type> (*this, m);
1102             return *this;
1103         }
1104         BOOST_UBLAS_INLINE
assign_temporary(symmetric_adaptor & m)1105         symmetric_adaptor &assign_temporary (symmetric_adaptor &m) {
1106             *this = m;
1107             return *this;
1108         }
1109         template<class AE>
1110         BOOST_UBLAS_INLINE
operator =(const matrix_expression<AE> & ae)1111         symmetric_adaptor &operator = (const matrix_expression<AE> &ae) {
1112             matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (ae));
1113             return *this;
1114         }
1115         template<class AE>
1116         BOOST_UBLAS_INLINE
assign(const matrix_expression<AE> & ae)1117         symmetric_adaptor &assign (const matrix_expression<AE> &ae) {
1118             matrix_assign<scalar_assign, triangular_type> (*this, ae);
1119             return *this;
1120         }
1121         template<class AE>
1122         BOOST_UBLAS_INLINE
operator +=(const matrix_expression<AE> & ae)1123         symmetric_adaptor& operator += (const matrix_expression<AE> &ae) {
1124             matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this + ae));
1125             return *this;
1126         }
1127         template<class AE>
1128         BOOST_UBLAS_INLINE
plus_assign(const matrix_expression<AE> & ae)1129         symmetric_adaptor &plus_assign (const matrix_expression<AE> &ae) {
1130             matrix_assign<scalar_plus_assign, triangular_type> (*this, ae);
1131             return *this;
1132         }
1133         template<class AE>
1134         BOOST_UBLAS_INLINE
operator -=(const matrix_expression<AE> & ae)1135         symmetric_adaptor& operator -= (const matrix_expression<AE> &ae) {
1136             matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this - ae));
1137             return *this;
1138         }
1139         template<class AE>
1140         BOOST_UBLAS_INLINE
minus_assign(const matrix_expression<AE> & ae)1141         symmetric_adaptor &minus_assign (const matrix_expression<AE> &ae) {
1142             matrix_assign<scalar_minus_assign, triangular_type> (*this, ae);
1143             return *this;
1144         }
1145         template<class AT>
1146         BOOST_UBLAS_INLINE
operator *=(const AT & at)1147         symmetric_adaptor& operator *= (const AT &at) {
1148             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
1149             return *this;
1150         }
1151         template<class AT>
1152         BOOST_UBLAS_INLINE
operator /=(const AT & at)1153         symmetric_adaptor& operator /= (const AT &at) {
1154             matrix_assign_scalar<scalar_divides_assign> (*this, at);
1155             return *this;
1156         }
1157 
1158         // Closure comparison
1159         BOOST_UBLAS_INLINE
same_closure(const symmetric_adaptor & sa) const1160         bool same_closure (const symmetric_adaptor &sa) const {
1161             return (*this).data ().same_closure (sa.data ());
1162        }
1163 
1164         // Swapping
1165         BOOST_UBLAS_INLINE
swap(symmetric_adaptor & m)1166         void swap (symmetric_adaptor &m) {
1167             if (this != &m)
1168                 matrix_swap<scalar_swap, triangular_type> (*this, m);
1169         }
1170         BOOST_UBLAS_INLINE
swap(symmetric_adaptor & m1,symmetric_adaptor & m2)1171         friend void swap (symmetric_adaptor &m1, symmetric_adaptor &m2) {
1172             m1.swap (m2);
1173         }
1174 
1175         // Iterator types
1176     private:
1177         // Use matrix iterator
1178         typedef typename M::const_iterator1 const_subiterator1_type;
1179         typedef typename boost::mpl::if_<boost::is_const<M>,
1180                                           typename M::const_iterator1,
1181                                           typename M::iterator1>::type subiterator1_type;
1182         typedef typename M::const_iterator2 const_subiterator2_type;
1183         typedef typename boost::mpl::if_<boost::is_const<M>,
1184                                           typename M::const_iterator2,
1185                                           typename M::iterator2>::type subiterator2_type;
1186 
1187     public:
1188 #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
1189         typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
1190         typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
1191         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
1192         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
1193 #else
1194         class const_iterator1;
1195         class iterator1;
1196         class const_iterator2;
1197         class iterator2;
1198 #endif
1199         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
1200         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
1201         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
1202         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
1203 
1204         // Element lookup
1205         BOOST_UBLAS_INLINE
find1(int rank,size_type i,size_type j) const1206         const_iterator1 find1 (int rank, size_type i, size_type j) const {
1207             if (triangular_type::other (i, j)) {
1208                 if (triangular_type::other (size1 (), j)) {
1209                     return const_iterator1 (*this, 0, 0,
1210                                             data ().find1 (rank, i, j), data ().find1 (rank, size1 (), j),
1211                                             data ().find2 (rank, size2 (), size1 ()), data ().find2 (rank, size2 (), size1 ()));
1212                 } else {
1213                     return const_iterator1 (*this, 0, 1,
1214                                             data ().find1 (rank, i, j), data ().find1 (rank, j, j),
1215                                             data ().find2 (rank, j, j), data ().find2 (rank, j, size1 ()));
1216                 }
1217             } else {
1218                 if (triangular_type::other (size1 (), j)) {
1219                     return const_iterator1 (*this, 1, 0,
1220                                             data ().find1 (rank, j, j), data ().find1 (rank, size1 (), j),
1221                                             data ().find2 (rank, j, i), data ().find2 (rank, j, j));
1222                 } else {
1223                     return const_iterator1 (*this, 1, 1,
1224                                             data ().find1 (rank, size1 (), size2 ()), data ().find1 (rank, size1 (), size2 ()),
1225                                             data ().find2 (rank, j, i), data ().find2 (rank, j, size1 ()));
1226                 }
1227             }
1228         }
1229         BOOST_UBLAS_INLINE
find1(int rank,size_type i,size_type j)1230         iterator1 find1 (int rank, size_type i, size_type j) {
1231             if (rank == 1)
1232                 i = triangular_type::mutable_restrict1 (i, j, size1(), size2());
1233             return iterator1 (*this, data ().find1 (rank, i, j));
1234         }
1235         BOOST_UBLAS_INLINE
find2(int rank,size_type i,size_type j) const1236         const_iterator2 find2 (int rank, size_type i, size_type j) const {
1237             if (triangular_type::other (i, j)) {
1238                 if (triangular_type::other (i, size2 ())) {
1239                     return const_iterator2 (*this, 1, 1,
1240                                             data ().find1 (rank, size2 (), size1 ()), data ().find1 (rank, size2 (), size1 ()),
1241                                             data ().find2 (rank, i, j), data ().find2 (rank, i, size2 ()));
1242                 } else {
1243                     return const_iterator2 (*this, 1, 0,
1244                                             data ().find1 (rank, i, i), data ().find1 (rank, size2 (), i),
1245                                             data ().find2 (rank, i, j), data ().find2 (rank, i, i));
1246                 }
1247             } else {
1248                 if (triangular_type::other (i, size2 ())) {
1249                     return const_iterator2 (*this, 0, 1,
1250                                             data ().find1 (rank, j, i), data ().find1 (rank, i, i),
1251                                             data ().find2 (rank, i, i), data ().find2 (rank, i, size2 ()));
1252                 } else {
1253                     return const_iterator2 (*this, 0, 0,
1254                                             data ().find1 (rank, j, i), data ().find1 (rank, size2 (), i),
1255                                             data ().find2 (rank, size1 (), size2 ()), data ().find2 (rank, size2 (), size2 ()));
1256                 }
1257             }
1258         }
1259         BOOST_UBLAS_INLINE
find2(int rank,size_type i,size_type j)1260         iterator2 find2 (int rank, size_type i, size_type j) {
1261             if (rank == 1)
1262                 j = triangular_type::mutable_restrict2 (i, j, size1(), size2());
1263             return iterator2 (*this, data ().find2 (rank, i, j));
1264         }
1265 
1266         // Iterators simply are indices.
1267 
1268 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
1269         class const_iterator1:
1270             public container_const_reference<symmetric_adaptor>,
1271             public random_access_iterator_base<typename iterator_restrict_traits<
1272                                                    typename const_subiterator1_type::iterator_category, dense_random_access_iterator_tag>::iterator_category,
1273                                                const_iterator1, value_type> {
1274         public:
1275             typedef typename const_subiterator1_type::value_type value_type;
1276             typedef typename const_subiterator1_type::difference_type difference_type;
1277             typedef typename const_subiterator1_type::reference reference;
1278             typedef typename const_subiterator1_type::pointer pointer;
1279 
1280             typedef const_iterator2 dual_iterator_type;
1281             typedef const_reverse_iterator2 dual_reverse_iterator_type;
1282 
1283             // Construction and destruction
1284             BOOST_UBLAS_INLINE
const_iterator1()1285             const_iterator1 ():
1286                 container_const_reference<self_type> (),
1287                 begin_ (-1), end_ (-1), current_ (-1),
1288                 it1_begin_ (), it1_end_ (), it1_ (),
1289                 it2_begin_ (), it2_end_ (), it2_ () {}
1290             BOOST_UBLAS_INLINE
const_iterator1(const self_type & m,int begin,int end,const const_subiterator1_type & it1_begin,const const_subiterator1_type & it1_end,const const_subiterator2_type & it2_begin,const const_subiterator2_type & it2_end)1291             const_iterator1 (const self_type &m, int begin, int end,
1292                              const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end,
1293                              const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end):
1294                 container_const_reference<self_type> (m),
1295                 begin_ (begin), end_ (end), current_ (begin),
1296                 it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_),
1297                 it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) {
1298                 if (current_ == 0 && it1_ == it1_end_)
1299                     current_ = 1;
1300                 if (current_ == 1 && it2_ == it2_end_)
1301                     current_ = 0;
1302                 if ((current_ == 0 && it1_ == it1_end_) ||
1303                     (current_ == 1 && it2_ == it2_end_))
1304                     current_ = end_;
1305                 BOOST_UBLAS_CHECK (current_ == end_ ||
1306                                    (current_ == 0 && it1_ != it1_end_) ||
1307                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
1308             }
1309             // FIXME cannot compile
1310             //  iterator1 does not have these members!
1311             BOOST_UBLAS_INLINE
const_iterator1(const iterator1 & it)1312             const_iterator1 (const iterator1 &it):
1313                 container_const_reference<self_type> (it ()),
1314                 begin_ (it.begin_), end_ (it.end_), current_ (it.current_),
1315                 it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_),
1316                 it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) {
1317                 BOOST_UBLAS_CHECK (current_ == end_ ||
1318                                    (current_ == 0 && it1_ != it1_end_) ||
1319                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
1320             }
1321 
1322             // Arithmetic
1323             BOOST_UBLAS_INLINE
operator ++()1324             const_iterator1 &operator ++ () {
1325                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1326                 if (current_ == 0) {
1327                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
1328                     ++ it1_;
1329                     if (it1_ == it1_end_ && end_ == 1) {
1330                         it2_ = it2_begin_;
1331                         current_ = 1;
1332                     }
1333                 } else /* if (current_ == 1) */ {
1334                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
1335                     ++ it2_;
1336                     if (it2_ == it2_end_ && end_ == 0) {
1337                         it1_ = it1_begin_;
1338                         current_ = 0;
1339                     }
1340                 }
1341                 return *this;
1342             }
1343             BOOST_UBLAS_INLINE
operator --()1344             const_iterator1 &operator -- () {
1345                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1346                 if (current_ == 0) {
1347                     if (it1_ == it1_begin_ && begin_ == 1) {
1348                         it2_ = it2_end_;
1349                         BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ());
1350                         -- it2_;
1351                         current_ = 1;
1352                     } else {
1353                         -- it1_;
1354                     }
1355                 } else /* if (current_ == 1) */ {
1356                     if (it2_ == it2_begin_ && begin_ == 0) {
1357                         it1_ = it1_end_;
1358                         BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ());
1359                         -- it1_;
1360                         current_ = 0;
1361                     } else {
1362                         -- it2_;
1363                     }
1364                 }
1365                 return *this;
1366             }
1367             BOOST_UBLAS_INLINE
operator +=(difference_type n)1368             const_iterator1 &operator += (difference_type n) {
1369                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1370                 if (current_ == 0) {
1371                     size_type d = (std::min) (n, it1_end_ - it1_);
1372                     it1_ += d;
1373                     n -= d;
1374                     if (n > 0 || (end_ == 1 && it1_ == it1_end_)) {
1375                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
1376                         d = (std::min) (n, it2_end_ - it2_begin_);
1377                         it2_ = it2_begin_ + d;
1378                         n -= d;
1379                         current_ = 1;
1380                     }
1381                 } else /* if (current_ == 1) */ {
1382                     size_type d = (std::min) (n, it2_end_ - it2_);
1383                     it2_ += d;
1384                     n -= d;
1385                     if (n > 0 || (end_ == 0 && it2_ == it2_end_)) {
1386                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
1387                         d = (std::min) (n, it1_end_ - it1_begin_);
1388                         it1_ = it1_begin_ + d;
1389                         n -= d;
1390                         current_ = 0;
1391                     }
1392                 }
1393                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
1394                 return *this;
1395             }
1396             BOOST_UBLAS_INLINE
operator -=(difference_type n)1397             const_iterator1 &operator -= (difference_type n) {
1398                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1399                 if (current_ == 0) {
1400                     size_type d = (std::min) (n, it1_ - it1_begin_);
1401                     it1_ -= d;
1402                     n -= d;
1403                     if (n > 0) {
1404                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
1405                         d = (std::min) (n, it2_end_ - it2_begin_);
1406                         it2_ = it2_end_ - d;
1407                         n -= d;
1408                         current_ = 1;
1409                     }
1410                 } else /* if (current_ == 1) */ {
1411                     size_type d = (std::min) (n, it2_ - it2_begin_);
1412                     it2_ -= d;
1413                     n -= d;
1414                     if (n > 0) {
1415                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
1416                         d = (std::min) (n, it1_end_ - it1_begin_);
1417                         it1_ = it1_end_ - d;
1418                         n -= d;
1419                         current_ = 0;
1420                     }
1421                 }
1422                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
1423                 return *this;
1424             }
1425             BOOST_UBLAS_INLINE
operator -(const const_iterator1 & it) const1426             difference_type operator - (const const_iterator1 &it) const {
1427                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1428                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1429                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
1430                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
1431                 if (current_ == 0 && it.current_ == 0) {
1432                     return it1_ - it.it1_;
1433                 } else if (current_ == 0 && it.current_ == 1) {
1434                     if (end_ == 1 && it.end_ == 1) {
1435                         return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_);
1436                     } else /* if (end_ == 0 && it.end_ == 0) */ {
1437                         return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_);
1438                     }
1439 
1440                 } else if (current_ == 1 && it.current_ == 0) {
1441                     if (end_ == 1 && it.end_ == 1) {
1442                         return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_);
1443                     } else /* if (end_ == 0 && it.end_ == 0) */ {
1444                         return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_);
1445                     }
1446                 }
1447                 /* current_ == 1 && it.current_ == 1 */ {
1448                     return it2_ - it.it2_;
1449                 }
1450             }
1451 
1452             // Dereference
1453             BOOST_UBLAS_INLINE
operator *() const1454             const_reference operator * () const {
1455                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1456                 if (current_ == 0) {
1457                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
1458                     return *it1_;
1459                 } else /* if (current_ == 1) */ {
1460                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
1461                     return *it2_;
1462                 }
1463             }
1464             BOOST_UBLAS_INLINE
operator [](difference_type n) const1465             const_reference operator [] (difference_type n) const {
1466                 return *(*this + n);
1467             }
1468 
1469 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
1470             BOOST_UBLAS_INLINE
1471 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1472             typename self_type::
1473 #endif
begin() const1474             const_iterator2 begin () const {
1475                 return (*this) ().find2 (1, index1 (), 0);
1476             }
1477             BOOST_UBLAS_INLINE
1478 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1479             typename self_type::
1480 #endif
cbegin() const1481             const_iterator2 cbegin () const {
1482                 return begin ();
1483             }
1484             BOOST_UBLAS_INLINE
1485 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1486             typename self_type::
1487 #endif
end() const1488             const_iterator2 end () const {
1489                 return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
1490             }
1491             BOOST_UBLAS_INLINE
1492 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1493             typename self_type::
1494 #endif
cend() const1495             const_iterator2 cend () const {
1496                 return end ();
1497             }
1498             BOOST_UBLAS_INLINE
1499 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1500             typename self_type::
1501 #endif
rbegin() const1502             const_reverse_iterator2 rbegin () const {
1503                 return const_reverse_iterator2 (end ());
1504             }
1505             BOOST_UBLAS_INLINE
1506 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1507             typename self_type::
1508 #endif
crbegin() const1509             const_reverse_iterator2 crbegin () const {
1510                 return rbegin ();
1511             }
1512             BOOST_UBLAS_INLINE
1513 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1514             typename self_type::
1515 #endif
rend() const1516             const_reverse_iterator2 rend () const {
1517                 return const_reverse_iterator2 (begin ());
1518             }
1519             BOOST_UBLAS_INLINE
1520 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1521             typename self_type::
1522 #endif
crend() const1523             const_reverse_iterator2 crend () const {
1524                 return rend ();
1525             }
1526 #endif
1527 
1528             // Indices
1529             BOOST_UBLAS_INLINE
index1() const1530             size_type index1 () const {
1531                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1532                 if (current_ == 0) {
1533                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
1534                     return it1_.index1 ();
1535                 } else /* if (current_ == 1) */ {
1536                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
1537                     return it2_.index2 ();
1538                 }
1539             }
1540             BOOST_UBLAS_INLINE
index2() const1541             size_type index2 () const {
1542                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1543                 if (current_ == 0) {
1544                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
1545                     return it1_.index2 ();
1546                 } else /* if (current_ == 1) */ {
1547                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
1548                     return it2_.index1 ();
1549                 }
1550             }
1551 
1552             // Assignment
1553             BOOST_UBLAS_INLINE
operator =(const const_iterator1 & it)1554             const_iterator1 &operator = (const const_iterator1 &it) {
1555                 container_const_reference<self_type>::assign (&it ());
1556                 begin_ = it.begin_;
1557                 end_ = it.end_;
1558                 current_ = it.current_;
1559                 it1_begin_ = it.it1_begin_;
1560                 it1_end_ = it.it1_end_;
1561                 it1_ = it.it1_;
1562                 it2_begin_ = it.it2_begin_;
1563                 it2_end_ = it.it2_end_;
1564                 it2_ = it.it2_;
1565                 return *this;
1566             }
1567 
1568             // Comparison
1569             BOOST_UBLAS_INLINE
operator ==(const const_iterator1 & it) const1570             bool operator == (const const_iterator1 &it) const {
1571                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1572                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1573                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
1574                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
1575                 return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) ||
1576                        (current_ == 1 && it.current_ == 1 && it2_ == it.it2_);
1577             }
1578             BOOST_UBLAS_INLINE
operator <(const const_iterator1 & it) const1579             bool operator < (const const_iterator1 &it) const {
1580                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1581                 return it - *this > 0;
1582             }
1583 
1584         private:
1585             int begin_;
1586             int end_;
1587             int current_;
1588             const_subiterator1_type it1_begin_;
1589             const_subiterator1_type it1_end_;
1590             const_subiterator1_type it1_;
1591             const_subiterator2_type it2_begin_;
1592             const_subiterator2_type it2_end_;
1593             const_subiterator2_type it2_;
1594         };
1595 #endif
1596 
1597         BOOST_UBLAS_INLINE
begin1() const1598         const_iterator1 begin1 () const {
1599             return find1 (0, 0, 0);
1600         }
1601         BOOST_UBLAS_INLINE
cbegin1() const1602         const_iterator1 cbegin1 () const {
1603             return begin1 ();
1604         }
1605         BOOST_UBLAS_INLINE
end1() const1606         const_iterator1 end1 () const {
1607             return find1 (0, size1 (), 0);
1608         }
1609         BOOST_UBLAS_INLINE
cend1() const1610         const_iterator1 cend1 () const {
1611             return end1 ();
1612         }
1613 
1614 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
1615         class iterator1:
1616             public container_reference<symmetric_adaptor>,
1617             public random_access_iterator_base<typename iterator_restrict_traits<
1618                                                    typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
1619                                                iterator1, value_type> {
1620         public:
1621             typedef typename subiterator1_type::value_type value_type;
1622             typedef typename subiterator1_type::difference_type difference_type;
1623             typedef typename subiterator1_type::reference reference;
1624             typedef typename subiterator1_type::pointer pointer;
1625 
1626             typedef iterator2 dual_iterator_type;
1627             typedef reverse_iterator2 dual_reverse_iterator_type;
1628 
1629             // Construction and destruction
1630             BOOST_UBLAS_INLINE
iterator1()1631             iterator1 ():
1632                 container_reference<self_type> (), it1_ () {}
1633             BOOST_UBLAS_INLINE
iterator1(self_type & m,const subiterator1_type & it1)1634             iterator1 (self_type &m, const subiterator1_type &it1):
1635                 container_reference<self_type> (m), it1_ (it1) {}
1636 
1637             // Arithmetic
1638             BOOST_UBLAS_INLINE
operator ++()1639             iterator1 &operator ++ () {
1640                 ++ it1_;
1641                 return *this;
1642             }
1643             BOOST_UBLAS_INLINE
operator --()1644             iterator1 &operator -- () {
1645                 -- it1_;
1646                 return *this;
1647             }
1648             BOOST_UBLAS_INLINE
operator +=(difference_type n)1649             iterator1 &operator += (difference_type n) {
1650                 it1_ += n;
1651                 return *this;
1652             }
1653             BOOST_UBLAS_INLINE
operator -=(difference_type n)1654             iterator1 &operator -= (difference_type n) {
1655                 it1_ -= n;
1656                 return *this;
1657             }
1658             BOOST_UBLAS_INLINE
operator -(const iterator1 & it) const1659             difference_type operator - (const iterator1 &it) const {
1660                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1661                 return it1_ - it.it1_;
1662             }
1663 
1664             // Dereference
1665             BOOST_UBLAS_INLINE
operator *() const1666             reference operator * () const {
1667                 return *it1_;
1668             }
1669             BOOST_UBLAS_INLINE
operator [](difference_type n) const1670             reference operator [] (difference_type n) const {
1671                 return *(*this + n);
1672             }
1673 
1674 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
1675             BOOST_UBLAS_INLINE
1676 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1677             typename self_type::
1678 #endif
begin() const1679             iterator2 begin () const {
1680                 return (*this) ().find2 (1, index1 (), 0);
1681             }
1682             BOOST_UBLAS_INLINE
1683 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1684             typename self_type::
1685 #endif
end() const1686             iterator2 end () const {
1687                 return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
1688             }
1689             BOOST_UBLAS_INLINE
1690 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1691             typename self_type::
1692 #endif
rbegin() const1693             reverse_iterator2 rbegin () const {
1694                 return reverse_iterator2 (end ());
1695             }
1696             BOOST_UBLAS_INLINE
1697 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1698             typename self_type::
1699 #endif
rend() const1700             reverse_iterator2 rend () const {
1701                 return reverse_iterator2 (begin ());
1702             }
1703 #endif
1704 
1705             // Indices
1706             BOOST_UBLAS_INLINE
index1() const1707             size_type index1 () const {
1708                 return it1_.index1 ();
1709             }
1710             BOOST_UBLAS_INLINE
index2() const1711             size_type index2 () const {
1712                 return it1_.index2 ();
1713             }
1714 
1715             // Assignment
1716             BOOST_UBLAS_INLINE
operator =(const iterator1 & it)1717             iterator1 &operator = (const iterator1 &it) {
1718                 container_reference<self_type>::assign (&it ());
1719                 it1_ = it.it1_;
1720                 return *this;
1721             }
1722 
1723             // Comparison
1724             BOOST_UBLAS_INLINE
operator ==(const iterator1 & it) const1725             bool operator == (const iterator1 &it) const {
1726                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1727                 return it1_ == it.it1_;
1728             }
1729             BOOST_UBLAS_INLINE
operator <(const iterator1 & it) const1730             bool operator < (const iterator1 &it) const {
1731                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1732                 return it1_ < it.it1_;
1733             }
1734 
1735         private:
1736             subiterator1_type it1_;
1737 
1738             friend class const_iterator1;
1739         };
1740 #endif
1741 
1742         BOOST_UBLAS_INLINE
begin1()1743         iterator1 begin1 () {
1744             return find1 (0, 0, 0);
1745         }
1746         BOOST_UBLAS_INLINE
end1()1747         iterator1 end1 () {
1748             return find1 (0, size1 (), 0);
1749         }
1750 
1751 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
1752         class const_iterator2:
1753             public container_const_reference<symmetric_adaptor>,
1754             public random_access_iterator_base<typename iterator_restrict_traits<
1755                                                    typename const_subiterator2_type::iterator_category, dense_random_access_iterator_tag>::iterator_category,
1756                                                const_iterator2, value_type> {
1757         public:
1758             typedef typename const_subiterator2_type::value_type value_type;
1759             typedef typename const_subiterator2_type::difference_type difference_type;
1760             typedef typename const_subiterator2_type::reference reference;
1761             typedef typename const_subiterator2_type::pointer pointer;
1762 
1763             typedef const_iterator1 dual_iterator_type;
1764             typedef const_reverse_iterator1 dual_reverse_iterator_type;
1765 
1766             // Construction and destruction
1767             BOOST_UBLAS_INLINE
const_iterator2()1768             const_iterator2 ():
1769                 container_const_reference<self_type> (),
1770                 begin_ (-1), end_ (-1), current_ (-1),
1771                 it1_begin_ (), it1_end_ (), it1_ (),
1772                 it2_begin_ (), it2_end_ (), it2_ () {}
1773             BOOST_UBLAS_INLINE
const_iterator2(const self_type & m,int begin,int end,const const_subiterator1_type & it1_begin,const const_subiterator1_type & it1_end,const const_subiterator2_type & it2_begin,const const_subiterator2_type & it2_end)1774             const_iterator2 (const self_type &m, int begin, int end,
1775                              const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end,
1776                              const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end):
1777                 container_const_reference<self_type> (m),
1778                 begin_ (begin), end_ (end), current_ (begin),
1779                 it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_),
1780                 it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) {
1781                 if (current_ == 0 && it1_ == it1_end_)
1782                     current_ = 1;
1783                 if (current_ == 1 && it2_ == it2_end_)
1784                     current_ = 0;
1785                 if ((current_ == 0 && it1_ == it1_end_) ||
1786                     (current_ == 1 && it2_ == it2_end_))
1787                     current_ = end_;
1788                 BOOST_UBLAS_CHECK (current_ == end_ ||
1789                                    (current_ == 0 && it1_ != it1_end_) ||
1790                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
1791             }
1792             // FIXME cannot compiler
1793             //  iterator2 does not have these members!
1794             BOOST_UBLAS_INLINE
const_iterator2(const iterator2 & it)1795             const_iterator2 (const iterator2 &it):
1796                 container_const_reference<self_type> (it ()),
1797                 begin_ (it.begin_), end_ (it.end_), current_ (it.current_),
1798                 it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_),
1799                 it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) {
1800                 BOOST_UBLAS_CHECK (current_ == end_ ||
1801                                    (current_ == 0 && it1_ != it1_end_) ||
1802                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
1803             }
1804 
1805             // Arithmetic
1806             BOOST_UBLAS_INLINE
operator ++()1807             const_iterator2 &operator ++ () {
1808                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1809                 if (current_ == 0) {
1810                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
1811                     ++ it1_;
1812                     if (it1_ == it1_end_ && end_ == 1) {
1813                         it2_ = it2_begin_;
1814                         current_ = 1;
1815                     }
1816                 } else /* if (current_ == 1) */ {
1817                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
1818                     ++ it2_;
1819                     if (it2_ == it2_end_ && end_ == 0) {
1820                         it1_ = it1_begin_;
1821                         current_ = 0;
1822                     }
1823                 }
1824                 return *this;
1825             }
1826             BOOST_UBLAS_INLINE
operator --()1827             const_iterator2 &operator -- () {
1828                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1829                 if (current_ == 0) {
1830                     if (it1_ == it1_begin_ && begin_ == 1) {
1831                         it2_ = it2_end_;
1832                         BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ());
1833                         -- it2_;
1834                         current_ = 1;
1835                     } else {
1836                         -- it1_;
1837                     }
1838                 } else /* if (current_ == 1) */ {
1839                     if (it2_ == it2_begin_ && begin_ == 0) {
1840                         it1_ = it1_end_;
1841                         BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ());
1842                         -- it1_;
1843                         current_ = 0;
1844                     } else {
1845                         -- it2_;
1846                     }
1847                 }
1848                 return *this;
1849             }
1850             BOOST_UBLAS_INLINE
operator +=(difference_type n)1851             const_iterator2 &operator += (difference_type n) {
1852                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1853                 if (current_ == 0) {
1854                     size_type d = (std::min) (n, it1_end_ - it1_);
1855                     it1_ += d;
1856                     n -= d;
1857                     if (n > 0 || (end_ == 1 && it1_ == it1_end_)) {
1858                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
1859                         d = (std::min) (n, it2_end_ - it2_begin_);
1860                         it2_ = it2_begin_ + d;
1861                         n -= d;
1862                         current_ = 1;
1863                     }
1864                 } else /* if (current_ == 1) */ {
1865                     size_type d = (std::min) (n, it2_end_ - it2_);
1866                     it2_ += d;
1867                     n -= d;
1868                     if (n > 0 || (end_ == 0 && it2_ == it2_end_)) {
1869                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
1870                         d = (std::min) (n, it1_end_ - it1_begin_);
1871                         it1_ = it1_begin_ + d;
1872                         n -= d;
1873                         current_ = 0;
1874                     }
1875                 }
1876                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
1877                 return *this;
1878             }
1879             BOOST_UBLAS_INLINE
operator -=(difference_type n)1880             const_iterator2 &operator -= (difference_type n) {
1881                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1882                 if (current_ == 0) {
1883                     size_type d = (std::min) (n, it1_ - it1_begin_);
1884                     it1_ -= d;
1885                     n -= d;
1886                     if (n > 0) {
1887                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
1888                         d = (std::min) (n, it2_end_ - it2_begin_);
1889                         it2_ = it2_end_ - d;
1890                         n -= d;
1891                         current_ = 1;
1892                     }
1893                 } else /* if (current_ == 1) */ {
1894                     size_type d = (std::min) (n, it2_ - it2_begin_);
1895                     it2_ -= d;
1896                     n -= d;
1897                     if (n > 0) {
1898                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
1899                         d = (std::min) (n, it1_end_ - it1_begin_);
1900                         it1_ = it1_end_ - d;
1901                         n -= d;
1902                         current_ = 0;
1903                     }
1904                 }
1905                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
1906                 return *this;
1907             }
1908             BOOST_UBLAS_INLINE
operator -(const const_iterator2 & it) const1909             difference_type operator - (const const_iterator2 &it) const {
1910                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
1911                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1912                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
1913                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
1914                 if (current_ == 0 && it.current_ == 0) {
1915                     return it1_ - it.it1_;
1916                 } else if (current_ == 0 && it.current_ == 1) {
1917                     if (end_ == 1 && it.end_ == 1) {
1918                         return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_);
1919                     } else /* if (end_ == 0 && it.end_ == 0) */ {
1920                         return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_);
1921                     }
1922 
1923                 } else if (current_ == 1 && it.current_ == 0) {
1924                     if (end_ == 1 && it.end_ == 1) {
1925                         return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_);
1926                     } else /* if (end_ == 0 && it.end_ == 0) */ {
1927                         return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_);
1928                     }
1929                 }
1930                 /* current_ == 1 && it.current_ == 1 */ {
1931                     return it2_ - it.it2_;
1932                 }
1933             }
1934 
1935             // Dereference
1936             BOOST_UBLAS_INLINE
operator *() const1937             const_reference operator * () const {
1938                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
1939                 if (current_ == 0) {
1940                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
1941                     return *it1_;
1942                 } else /* if (current_ == 1) */ {
1943                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
1944                     return *it2_;
1945                 }
1946             }
1947             BOOST_UBLAS_INLINE
operator [](difference_type n) const1948             const_reference operator [] (difference_type n) const {
1949                 return *(*this + n);
1950             }
1951 
1952 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
1953             BOOST_UBLAS_INLINE
1954 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1955             typename self_type::
1956 #endif
begin() const1957             const_iterator1 begin () const {
1958                 return (*this) ().find1 (1, 0, index2 ());
1959             }
1960             BOOST_UBLAS_INLINE
1961 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1962             typename self_type::
1963 #endif
cbegin() const1964             const_iterator1 cbegin () const {
1965                 return begin ();
1966             }
1967             BOOST_UBLAS_INLINE
1968 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1969             typename self_type::
1970 #endif
end() const1971             const_iterator1 end () const {
1972                 return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
1973             }
1974             BOOST_UBLAS_INLINE
1975 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1976             typename self_type::
1977 #endif
cend() const1978             const_iterator1 cend () const {
1979                 return end ();
1980             }
1981             BOOST_UBLAS_INLINE
1982 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1983             typename self_type::
1984 #endif
rbegin() const1985             const_reverse_iterator1 rbegin () const {
1986                 return const_reverse_iterator1 (end ());
1987             }
1988             BOOST_UBLAS_INLINE
1989 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1990             typename self_type::
1991 #endif
crbegin() const1992             const_reverse_iterator1 crbegin () const {
1993                 return rbegin ();
1994             }
1995             BOOST_UBLAS_INLINE
1996 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
1997             typename self_type::
1998 #endif
rend() const1999             const_reverse_iterator1 rend () const {
2000                 return const_reverse_iterator1 (begin ());
2001             }
2002             BOOST_UBLAS_INLINE
2003 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
2004             typename self_type::
2005 #endif
crend() const2006             const_reverse_iterator1 crend () const {
2007                 return rend ();
2008             }
2009 #endif
2010 
2011             // Indices
2012             BOOST_UBLAS_INLINE
index1() const2013             size_type index1 () const {
2014                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
2015                 if (current_ == 0) {
2016                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
2017                     return it1_.index2 ();
2018                 } else /* if (current_ == 1) */ {
2019                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
2020                     return it2_.index1 ();
2021                 }
2022             }
2023             BOOST_UBLAS_INLINE
index2() const2024             size_type index2 () const {
2025                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
2026                 if (current_ == 0) {
2027                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
2028                     return it1_.index1 ();
2029                 } else /* if (current_ == 1) */ {
2030                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
2031                     return it2_.index2 ();
2032                 }
2033             }
2034 
2035             // Assignment
2036             BOOST_UBLAS_INLINE
operator =(const const_iterator2 & it)2037             const_iterator2 &operator = (const const_iterator2 &it) {
2038                 container_const_reference<self_type>::assign (&it ());
2039                 begin_ = it.begin_;
2040                 end_ = it.end_;
2041                 current_ = it.current_;
2042                 it1_begin_ = it.it1_begin_;
2043                 it1_end_ = it.it1_end_;
2044                 it1_ = it.it1_;
2045                 it2_begin_ = it.it2_begin_;
2046                 it2_end_ = it.it2_end_;
2047                 it2_ = it.it2_;
2048                 return *this;
2049             }
2050 
2051             // Comparison
2052             BOOST_UBLAS_INLINE
operator ==(const const_iterator2 & it) const2053             bool operator == (const const_iterator2 &it) const {
2054                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
2055                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
2056                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
2057                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
2058                 return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) ||
2059                        (current_ == 1 && it.current_ == 1 && it2_ == it.it2_);
2060             }
2061             BOOST_UBLAS_INLINE
operator <(const const_iterator2 & it) const2062             bool operator < (const const_iterator2 &it) const {
2063                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
2064                 return it - *this > 0;
2065             }
2066 
2067         private:
2068             int begin_;
2069             int end_;
2070             int current_;
2071             const_subiterator1_type it1_begin_;
2072             const_subiterator1_type it1_end_;
2073             const_subiterator1_type it1_;
2074             const_subiterator2_type it2_begin_;
2075             const_subiterator2_type it2_end_;
2076             const_subiterator2_type it2_;
2077         };
2078 #endif
2079 
2080         BOOST_UBLAS_INLINE
begin2() const2081         const_iterator2 begin2 () const {
2082             return find2 (0, 0, 0);
2083         }
2084         BOOST_UBLAS_INLINE
cbegin2() const2085         const_iterator2 cbegin2 () const {
2086             return begin2 ();
2087         }
2088         BOOST_UBLAS_INLINE
end2() const2089         const_iterator2 end2 () const {
2090             return find2 (0, 0, size2 ());
2091         }
2092         BOOST_UBLAS_INLINE
cend2() const2093         const_iterator2 cend2 () const {
2094             return end2 ();
2095         }
2096 
2097 #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
2098         class iterator2:
2099             public container_reference<symmetric_adaptor>,
2100             public random_access_iterator_base<typename iterator_restrict_traits<
2101                                                    typename subiterator2_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
2102                                                iterator2, value_type> {
2103         public:
2104             typedef typename subiterator2_type::value_type value_type;
2105             typedef typename subiterator2_type::difference_type difference_type;
2106             typedef typename subiterator2_type::reference reference;
2107             typedef typename subiterator2_type::pointer pointer;
2108 
2109             typedef iterator1 dual_iterator_type;
2110             typedef reverse_iterator1 dual_reverse_iterator_type;
2111 
2112             // Construction and destruction
2113             BOOST_UBLAS_INLINE
iterator2()2114             iterator2 ():
2115                 container_reference<self_type> (), it2_ () {}
2116             BOOST_UBLAS_INLINE
iterator2(self_type & m,const subiterator2_type & it2)2117             iterator2 (self_type &m, const subiterator2_type &it2):
2118                 container_reference<self_type> (m), it2_ (it2) {}
2119 
2120             // Arithmetic
2121             BOOST_UBLAS_INLINE
operator ++()2122             iterator2 &operator ++ () {
2123                 ++ it2_;
2124                 return *this;
2125             }
2126             BOOST_UBLAS_INLINE
operator --()2127             iterator2 &operator -- () {
2128                 -- it2_;
2129                 return *this;
2130             }
2131             BOOST_UBLAS_INLINE
operator +=(difference_type n)2132             iterator2 &operator += (difference_type n) {
2133                 it2_ += n;
2134                 return *this;
2135             }
2136             BOOST_UBLAS_INLINE
operator -=(difference_type n)2137             iterator2 &operator -= (difference_type n) {
2138                 it2_ -= n;
2139                 return *this;
2140             }
2141             BOOST_UBLAS_INLINE
operator -(const iterator2 & it) const2142             difference_type operator - (const iterator2 &it) const {
2143                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
2144                 return it2_ - it.it2_;
2145             }
2146 
2147             // Dereference
2148             BOOST_UBLAS_INLINE
operator *() const2149             reference operator * () const {
2150                 return *it2_;
2151             }
2152             BOOST_UBLAS_INLINE
operator [](difference_type n) const2153             reference operator [] (difference_type n) const {
2154                 return *(*this + n);
2155             }
2156 
2157 #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
2158             BOOST_UBLAS_INLINE
2159 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
2160             typename self_type::
2161 #endif
begin() const2162             iterator1 begin () const {
2163                 return (*this) ().find1 (1, 0, index2 ());
2164             }
2165             BOOST_UBLAS_INLINE
2166 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
2167             typename self_type::
2168 #endif
end() const2169             iterator1 end () const {
2170                 return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
2171             }
2172             BOOST_UBLAS_INLINE
2173 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
2174             typename self_type::
2175 #endif
rbegin() const2176             reverse_iterator1 rbegin () const {
2177                 return reverse_iterator1 (end ());
2178             }
2179             BOOST_UBLAS_INLINE
2180 #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
2181             typename self_type::
2182 #endif
rend() const2183             reverse_iterator1 rend () const {
2184                 return reverse_iterator1 (begin ());
2185             }
2186 #endif
2187 
2188             // Indices
2189             BOOST_UBLAS_INLINE
index1() const2190             size_type index1 () const {
2191                 return it2_.index1 ();
2192             }
2193             BOOST_UBLAS_INLINE
index2() const2194             size_type index2 () const {
2195                 return it2_.index2 ();
2196             }
2197 
2198             // Assignment
2199             BOOST_UBLAS_INLINE
operator =(const iterator2 & it)2200             iterator2 &operator = (const iterator2 &it) {
2201                 container_reference<self_type>::assign (&it ());
2202                 it2_ = it.it2_;
2203                 return *this;
2204             }
2205 
2206             // Comparison
2207             BOOST_UBLAS_INLINE
operator ==(const iterator2 & it) const2208             bool operator == (const iterator2 &it) const {
2209                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
2210                 return it2_ == it.it2_;
2211             }
2212             BOOST_UBLAS_INLINE
operator <(const iterator2 & it) const2213             bool operator < (const iterator2 &it) const {
2214                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
2215                 return it2_ < it.it2_;
2216             }
2217 
2218         private:
2219             subiterator2_type it2_;
2220 
2221             friend class const_iterator2;
2222         };
2223 #endif
2224 
2225         BOOST_UBLAS_INLINE
begin2()2226         iterator2 begin2 () {
2227             return find2 (0, 0, 0);
2228         }
2229         BOOST_UBLAS_INLINE
end2()2230         iterator2 end2 () {
2231             return find2 (0, 0, size2 ());
2232         }
2233 
2234         // Reverse iterators
2235 
2236         BOOST_UBLAS_INLINE
rbegin1() const2237         const_reverse_iterator1 rbegin1 () const {
2238             return const_reverse_iterator1 (end1 ());
2239         }
2240         BOOST_UBLAS_INLINE
crbegin1() const2241         const_reverse_iterator1 crbegin1 () const {
2242             return rbegin1 ();
2243         }
2244         BOOST_UBLAS_INLINE
rend1() const2245         const_reverse_iterator1 rend1 () const {
2246             return const_reverse_iterator1 (begin1 ());
2247         }
2248         BOOST_UBLAS_INLINE
crend1() const2249         const_reverse_iterator1 crend1 () const {
2250             return rend1 ();
2251         }
2252 
2253         BOOST_UBLAS_INLINE
rbegin1()2254         reverse_iterator1 rbegin1 () {
2255             return reverse_iterator1 (end1 ());
2256         }
2257         BOOST_UBLAS_INLINE
rend1()2258         reverse_iterator1 rend1 () {
2259             return reverse_iterator1 (begin1 ());
2260         }
2261 
2262         BOOST_UBLAS_INLINE
rbegin2() const2263         const_reverse_iterator2 rbegin2 () const {
2264             return const_reverse_iterator2 (end2 ());
2265         }
2266         BOOST_UBLAS_INLINE
crbegin2() const2267         const_reverse_iterator2 crbegin2 () const {
2268             return rbegin2 ();
2269         }
2270         BOOST_UBLAS_INLINE
rend2() const2271         const_reverse_iterator2 rend2 () const {
2272             return const_reverse_iterator2 (begin2 ());
2273         }
2274         BOOST_UBLAS_INLINE
crend2() const2275         const_reverse_iterator2 crend2 () const {
2276             return rend2 ();
2277         }
2278 
2279         BOOST_UBLAS_INLINE
rbegin2()2280         reverse_iterator2 rbegin2 () {
2281             return reverse_iterator2 (end2 ());
2282         }
2283         BOOST_UBLAS_INLINE
rend2()2284         reverse_iterator2 rend2 () {
2285             return reverse_iterator2 (begin2 ());
2286         }
2287 
2288     private:
2289         matrix_closure_type data_;
2290     };
2291 
2292     // Specialization for temporary_traits
2293     template <class M, class TRI>
2294     struct vector_temporary_traits< symmetric_adaptor<M, TRI> >
2295     : vector_temporary_traits< M > {} ;
2296     template <class M, class TRI>
2297     struct vector_temporary_traits< const symmetric_adaptor<M, TRI> >
2298     : vector_temporary_traits< M > {} ;
2299 
2300     template <class M, class TRI>
2301     struct matrix_temporary_traits< symmetric_adaptor<M, TRI> >
2302     : matrix_temporary_traits< M > {} ;
2303     template <class M, class TRI>
2304     struct matrix_temporary_traits< const symmetric_adaptor<M, TRI> >
2305     : matrix_temporary_traits< M > {} ;
2306 
2307 }}}
2308 
2309 #endif
2310