os/ossrv/ossrv_pub/boost_apis/boost/numeric/ublas/symmetric.hpp
changeset 0 bde4ae8d615e
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/os/ossrv/ossrv_pub/boost_apis/boost/numeric/ublas/symmetric.hpp	Fri Jun 15 03:10:57 2012 +0200
     1.3 @@ -0,0 +1,2133 @@
     1.4 +//
     1.5 +//  Copyright (c) 2000-2002
     1.6 +//  Joerg Walter, Mathias Koch
     1.7 +//
     1.8 +//  Permission to use, copy, modify, distribute and sell this software
     1.9 +//  and its documentation for any purpose is hereby granted without fee,
    1.10 +//  provided that the above copyright notice appear in all copies and
    1.11 +//  that both that copyright notice and this permission notice appear
    1.12 +//  in supporting documentation.  The authors make no representations
    1.13 +//  about the suitability of this software for any purpose.
    1.14 +//  It is provided "as is" without express or implied warranty.
    1.15 +//
    1.16 +//  The authors gratefully acknowledge the support of
    1.17 +//  GeNeSys mbH & Co. KG in producing this work.
    1.18 +//
    1.19 +
    1.20 +#ifndef _BOOST_UBLAS_SYMMETRIC_
    1.21 +#define _BOOST_UBLAS_SYMMETRIC_
    1.22 +
    1.23 +#include <boost/numeric/ublas/matrix.hpp>
    1.24 +#include <boost/numeric/ublas/detail/temporary.hpp>
    1.25 +
    1.26 +// Iterators based on ideas of Jeremy Siek
    1.27 +// Symmetric matrices are square. Thanks to Peter Schmitteckert for spotting this.
    1.28 +
    1.29 +namespace boost { namespace numeric { namespace ublas {
    1.30 +
    1.31 +    template<class M>
    1.32 +    bool is_symmetric (const M &m) {
    1.33 +        typedef typename M::size_type size_type;
    1.34 +
    1.35 +        if (m.size1 () != m.size2 ())
    1.36 +            return false;
    1.37 +        size_type size = BOOST_UBLAS_SAME (m.size1 (), m.size2 ());
    1.38 +        for (size_type i = 0; i < size; ++ i) {
    1.39 +            for (size_type j = i; j < size; ++ j) {
    1.40 +                if (m (i, j) != m (j, i))
    1.41 +                    return false;
    1.42 +            }
    1.43 +        }
    1.44 +        return true;
    1.45 +    }
    1.46 +
    1.47 +    // Array based symmetric matrix class
    1.48 +    template<class T, class TRI, class L, class A>
    1.49 +    class symmetric_matrix:
    1.50 +        public matrix_container<symmetric_matrix<T, TRI, L, A> > {
    1.51 +
    1.52 +        typedef T *pointer;
    1.53 +        typedef TRI triangular_type;
    1.54 +        typedef L layout_type;
    1.55 +        typedef symmetric_matrix<T, TRI, L, A> self_type;
    1.56 +    public:
    1.57 +#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
    1.58 +        using matrix_container<self_type>::operator ();
    1.59 +#endif
    1.60 +        typedef typename A::size_type size_type;
    1.61 +        typedef typename A::difference_type difference_type;
    1.62 +        typedef T value_type;
    1.63 +        typedef const T &const_reference;
    1.64 +        typedef T &reference;
    1.65 +        typedef A array_type;
    1.66 +
    1.67 +        typedef const matrix_reference<const self_type> const_closure_type;
    1.68 +        typedef matrix_reference<self_type> closure_type;
    1.69 +        typedef vector<T, A> vector_temporary_type;
    1.70 +        typedef matrix<T, L, A> matrix_temporary_type;  // general sub-matrix
    1.71 +        typedef packed_tag storage_category;
    1.72 +        typedef typename L::orientation_category orientation_category;
    1.73 +
    1.74 +        // Construction and destruction
    1.75 +        BOOST_UBLAS_INLINE
    1.76 +        symmetric_matrix ():
    1.77 +            matrix_container<self_type> (),
    1.78 +            size_ (0), data_ (0) {}
    1.79 +        BOOST_UBLAS_INLINE
    1.80 +        symmetric_matrix (size_type size):
    1.81 +            matrix_container<self_type> (),
    1.82 +            size_ (BOOST_UBLAS_SAME (size, size)), data_ (triangular_type::packed_size (layout_type (), size, size)) {
    1.83 +        }
    1.84 +        BOOST_UBLAS_INLINE
    1.85 +        symmetric_matrix (size_type size1, size_type size2):
    1.86 +            matrix_container<self_type> (),
    1.87 +            size_ (BOOST_UBLAS_SAME (size1, size2)), data_ (triangular_type::packed_size (layout_type (), size1, size2)) {
    1.88 +        }
    1.89 +        BOOST_UBLAS_INLINE
    1.90 +        symmetric_matrix (size_type size, const array_type &data):
    1.91 +            matrix_container<self_type> (),
    1.92 +            size_ (size), data_ (data) {}
    1.93 +        BOOST_UBLAS_INLINE
    1.94 +        symmetric_matrix (const symmetric_matrix &m):
    1.95 +            matrix_container<self_type> (),
    1.96 +            size_ (m.size_), data_ (m.data_) {}
    1.97 +        template<class AE>
    1.98 +        BOOST_UBLAS_INLINE
    1.99 +        symmetric_matrix (const matrix_expression<AE> &ae):
   1.100 +            matrix_container<self_type> (),
   1.101 +            size_ (BOOST_UBLAS_SAME (ae ().size1 (), ae ().size2 ())),
   1.102 +            data_ (triangular_type::packed_size (layout_type (), size_, size_)) {
   1.103 +            matrix_assign<scalar_assign> (*this, ae);
   1.104 +        }
   1.105 +
   1.106 +        // Accessors
   1.107 +        BOOST_UBLAS_INLINE
   1.108 +        size_type size1 () const {
   1.109 +            return size_;
   1.110 +        }
   1.111 +        BOOST_UBLAS_INLINE
   1.112 +        size_type size2 () const {
   1.113 +            return size_;
   1.114 +        }
   1.115 +
   1.116 +        // Storage accessors
   1.117 +        BOOST_UBLAS_INLINE
   1.118 +        const array_type &data () const {
   1.119 +            return data_;
   1.120 +        }
   1.121 +        BOOST_UBLAS_INLINE
   1.122 +        array_type &data () {
   1.123 +            return data_;
   1.124 +        }
   1.125 +
   1.126 +        // Resizing
   1.127 +        BOOST_UBLAS_INLINE
   1.128 +        void resize (size_type size, bool preserve = true) {
   1.129 +            if (preserve) {
   1.130 +                self_type temporary (size, size);
   1.131 +                detail::matrix_resize_preserve<layout_type> (*this, temporary);
   1.132 +            }
   1.133 +            else {
   1.134 +                data ().resize (triangular_type::packed_size (layout_type (), size, size));
   1.135 +                size_ = size;
   1.136 +            }
   1.137 +        }
   1.138 +        BOOST_UBLAS_INLINE
   1.139 +        void resize (size_type size1, size_type size2, bool preserve = true) {
   1.140 +            resize (BOOST_UBLAS_SAME (size1, size2), preserve);
   1.141 +        }
   1.142 +        BOOST_UBLAS_INLINE
   1.143 +        void resize_packed_preserve (size_type size) {
   1.144 +            size_ = BOOST_UBLAS_SAME (size, size);
   1.145 +            data ().resize (triangular_type::packed_size (layout_type (), size_, size_), value_type ());
   1.146 +        }
   1.147 +
   1.148 +        // Element access
   1.149 +        BOOST_UBLAS_INLINE
   1.150 +        const_reference operator () (size_type i, size_type j) const {
   1.151 +            BOOST_UBLAS_CHECK (i < size_, bad_index ());
   1.152 +            BOOST_UBLAS_CHECK (j < size_, bad_index ());
   1.153 +            if (triangular_type::other (i, j))
   1.154 +                return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
   1.155 +            else
   1.156 +                return data () [triangular_type::element (layout_type (), j, size_, i, size_)];
   1.157 +        }
   1.158 +        BOOST_UBLAS_INLINE
   1.159 +        reference at_element (size_type i, size_type j) {
   1.160 +            BOOST_UBLAS_CHECK (i < size_, bad_index ());
   1.161 +            BOOST_UBLAS_CHECK (j < size_, bad_index ());
   1.162 +            return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
   1.163 +        }
   1.164 +        BOOST_UBLAS_INLINE
   1.165 +        reference operator () (size_type i, size_type j) {
   1.166 +            BOOST_UBLAS_CHECK (i < size_, bad_index ());
   1.167 +            BOOST_UBLAS_CHECK (j < size_, bad_index ());
   1.168 +            if (triangular_type::other (i, j))
   1.169 +                return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
   1.170 +            else
   1.171 +                return data () [triangular_type::element (layout_type (), j, size_, i, size_)];
   1.172 +        }
   1.173 +
   1.174 +        // Element assignment
   1.175 +        BOOST_UBLAS_INLINE
   1.176 +        reference insert_element (size_type i, size_type j, const_reference t) {
   1.177 +            return (operator () (i, j) = t);
   1.178 +        }
   1.179 +        BOOST_UBLAS_INLINE
   1.180 +        void erase_element (size_type i, size_type j) {
   1.181 +            operator () (i, j) = value_type/*zero*/();
   1.182 +        }
   1.183 +        
   1.184 +        // Zeroing
   1.185 +        BOOST_UBLAS_INLINE
   1.186 +        void clear () {
   1.187 +            // data ().clear ();
   1.188 +            std::fill (data ().begin (), data ().end (), value_type/*zero*/());
   1.189 +        }
   1.190 +
   1.191 +        // Assignment
   1.192 +        BOOST_UBLAS_INLINE
   1.193 +        symmetric_matrix &operator = (const symmetric_matrix &m) {
   1.194 +            size_ = m.size_;
   1.195 +            data () = m.data ();
   1.196 +            return *this;
   1.197 +        }
   1.198 +        BOOST_UBLAS_INLINE
   1.199 +        symmetric_matrix &assign_temporary (symmetric_matrix &m) {
   1.200 +            swap (m);
   1.201 +            return *this;
   1.202 +        }
   1.203 +        template<class AE>
   1.204 +        BOOST_UBLAS_INLINE
   1.205 +        symmetric_matrix &operator = (const matrix_expression<AE> &ae) {
   1.206 +            self_type temporary (ae);
   1.207 +            return assign_temporary (temporary);
   1.208 +        }
   1.209 +        template<class AE>
   1.210 +        BOOST_UBLAS_INLINE
   1.211 +        symmetric_matrix &assign (const matrix_expression<AE> &ae) {
   1.212 +            matrix_assign<scalar_assign> (*this, ae);
   1.213 +            return *this;
   1.214 +        }
   1.215 +        template<class AE>
   1.216 +        BOOST_UBLAS_INLINE
   1.217 +        symmetric_matrix& operator += (const matrix_expression<AE> &ae) {
   1.218 +            self_type temporary (*this + ae);
   1.219 +            return assign_temporary (temporary);
   1.220 +        }
   1.221 +        template<class AE>
   1.222 +        BOOST_UBLAS_INLINE
   1.223 +        symmetric_matrix &plus_assign (const matrix_expression<AE> &ae) {
   1.224 +            matrix_assign<scalar_plus_assign> (*this, ae);
   1.225 +            return *this;
   1.226 +        }
   1.227 +        template<class AE>
   1.228 +        BOOST_UBLAS_INLINE
   1.229 +        symmetric_matrix& operator -= (const matrix_expression<AE> &ae) {
   1.230 +            self_type temporary (*this - ae);
   1.231 +            return assign_temporary (temporary);
   1.232 +        }
   1.233 +        template<class AE>
   1.234 +        BOOST_UBLAS_INLINE
   1.235 +        symmetric_matrix &minus_assign (const matrix_expression<AE> &ae) {
   1.236 +            matrix_assign<scalar_minus_assign> (*this, ae);
   1.237 +            return *this;
   1.238 +        }
   1.239 +        template<class AT>
   1.240 +        BOOST_UBLAS_INLINE
   1.241 +        symmetric_matrix& operator *= (const AT &at) {
   1.242 +            matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
   1.243 +            return *this;
   1.244 +        }
   1.245 +        template<class AT>
   1.246 +        BOOST_UBLAS_INLINE
   1.247 +        symmetric_matrix& operator /= (const AT &at) {
   1.248 +            matrix_assign_scalar<scalar_divides_assign> (*this, at);
   1.249 +            return *this;
   1.250 +        }
   1.251 +
   1.252 +        // Swapping
   1.253 +        BOOST_UBLAS_INLINE
   1.254 +        void swap (symmetric_matrix &m) {
   1.255 +            if (this != &m) {
   1.256 +                std::swap (size_, m.size_);
   1.257 +                data ().swap (m.data ());
   1.258 +            }
   1.259 +        }
   1.260 +        BOOST_UBLAS_INLINE
   1.261 +        friend void swap (symmetric_matrix &m1, symmetric_matrix &m2) {
   1.262 +            m1.swap (m2);
   1.263 +        }
   1.264 +
   1.265 +        // Iterator types
   1.266 +#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.267 +        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
   1.268 +        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
   1.269 +        typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
   1.270 +        typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
   1.271 +#else
   1.272 +        class const_iterator1;
   1.273 +        class iterator1;
   1.274 +        class const_iterator2;
   1.275 +        class iterator2;
   1.276 +#endif
   1.277 +        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
   1.278 +        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
   1.279 +        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
   1.280 +        typedef reverse_iterator_base2<iterator2> reverse_iterator2;
   1.281 +
   1.282 +        // Element lookup
   1.283 +        BOOST_UBLAS_INLINE
   1.284 +        const_iterator1 find1 (int /* rank */, size_type i, size_type j) const {
   1.285 +            return const_iterator1 (*this, i, j);
   1.286 +        }
   1.287 +        BOOST_UBLAS_INLINE
   1.288 +        iterator1 find1 (int rank, size_type i, size_type j) {
   1.289 +            if (rank == 1)
   1.290 +                i = triangular_type::mutable_restrict1 (i, j);
   1.291 +            return iterator1 (*this, i, j);
   1.292 +        }
   1.293 +        BOOST_UBLAS_INLINE
   1.294 +        const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
   1.295 +            return const_iterator2 (*this, i, j);
   1.296 +        }
   1.297 +        BOOST_UBLAS_INLINE
   1.298 +        iterator2 find2 (int rank, size_type i, size_type j) {
   1.299 +            if (rank == 1)
   1.300 +                j = triangular_type::mutable_restrict2 (i, j);
   1.301 +            return iterator2 (*this, i, j);
   1.302 +        }
   1.303 +
   1.304 +        // Iterators simply are indices.
   1.305 +
   1.306 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.307 +        class const_iterator1:
   1.308 +            public container_const_reference<symmetric_matrix>,
   1.309 +            public random_access_iterator_base<dense_random_access_iterator_tag,
   1.310 +                                               const_iterator1, value_type> {
   1.311 +        public:
   1.312 +            typedef typename symmetric_matrix::value_type value_type;
   1.313 +            typedef typename symmetric_matrix::difference_type difference_type;
   1.314 +            typedef typename symmetric_matrix::const_reference reference;
   1.315 +            typedef const typename symmetric_matrix::pointer pointer;
   1.316 +
   1.317 +            typedef const_iterator2 dual_iterator_type;
   1.318 +            typedef const_reverse_iterator2 dual_reverse_iterator_type;
   1.319 +
   1.320 +            // Construction and destruction
   1.321 +            BOOST_UBLAS_INLINE
   1.322 +            const_iterator1 ():
   1.323 +                container_const_reference<self_type> (), it1_ (), it2_ () {}
   1.324 +            BOOST_UBLAS_INLINE
   1.325 +            const_iterator1 (const self_type &m, size_type it1, size_type it2):
   1.326 +                container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.327 +            BOOST_UBLAS_INLINE
   1.328 +            const_iterator1 (const iterator1 &it):
   1.329 +                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
   1.330 +
   1.331 +            // Arithmetic
   1.332 +            BOOST_UBLAS_INLINE
   1.333 +            const_iterator1 &operator ++ () {
   1.334 +                ++ it1_;
   1.335 +                return *this;
   1.336 +            }
   1.337 +            BOOST_UBLAS_INLINE
   1.338 +            const_iterator1 &operator -- () {
   1.339 +                -- it1_;
   1.340 +                return *this;
   1.341 +            }
   1.342 +            BOOST_UBLAS_INLINE
   1.343 +            const_iterator1 &operator += (difference_type n) {
   1.344 +                it1_ += n;
   1.345 +                return *this;
   1.346 +            }
   1.347 +            BOOST_UBLAS_INLINE
   1.348 +            const_iterator1 &operator -= (difference_type n) {
   1.349 +                it1_ -= n;
   1.350 +                return *this;
   1.351 +            }
   1.352 +            BOOST_UBLAS_INLINE
   1.353 +            difference_type operator - (const const_iterator1 &it) const {
   1.354 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.355 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.356 +                return it1_ - it.it1_;
   1.357 +            }
   1.358 +
   1.359 +            // Dereference
   1.360 +            BOOST_UBLAS_INLINE
   1.361 +            const_reference operator * () const {
   1.362 +                return (*this) () (it1_, it2_);
   1.363 +            }
   1.364 +            BOOST_UBLAS_INLINE
   1.365 +            const_reference operator [] (difference_type n) const {
   1.366 +                return *(*this + n);
   1.367 +            }
   1.368 +
   1.369 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.370 +            BOOST_UBLAS_INLINE
   1.371 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.372 +            typename self_type::
   1.373 +#endif
   1.374 +            const_iterator2 begin () const {
   1.375 +                return (*this) ().find2 (1, it1_, 0);
   1.376 +            }
   1.377 +            BOOST_UBLAS_INLINE
   1.378 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.379 +            typename self_type::
   1.380 +#endif
   1.381 +            const_iterator2 end () const {
   1.382 +                return (*this) ().find2 (1, it1_, (*this) ().size2 ());
   1.383 +            }
   1.384 +            BOOST_UBLAS_INLINE
   1.385 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.386 +            typename self_type::
   1.387 +#endif
   1.388 +            const_reverse_iterator2 rbegin () const {
   1.389 +                return const_reverse_iterator2 (end ());
   1.390 +            }
   1.391 +            BOOST_UBLAS_INLINE
   1.392 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.393 +            typename self_type::
   1.394 +#endif
   1.395 +            const_reverse_iterator2 rend () const {
   1.396 +                return const_reverse_iterator2 (begin ());
   1.397 +            }
   1.398 +#endif
   1.399 +
   1.400 +            // Indices
   1.401 +            BOOST_UBLAS_INLINE
   1.402 +            size_type index1 () const {
   1.403 +                return it1_;
   1.404 +            }
   1.405 +            BOOST_UBLAS_INLINE
   1.406 +            size_type index2 () const {
   1.407 +                return it2_;
   1.408 +            }
   1.409 +
   1.410 +            // Assignment
   1.411 +            BOOST_UBLAS_INLINE
   1.412 +            const_iterator1 &operator = (const const_iterator1 &it) {
   1.413 +                container_const_reference<self_type>::assign (&it ());
   1.414 +                it1_ = it.it1_;
   1.415 +                it2_ = it.it2_;
   1.416 +                return *this;
   1.417 +            }
   1.418 +
   1.419 +            // Comparison
   1.420 +            BOOST_UBLAS_INLINE
   1.421 +            bool operator == (const const_iterator1 &it) const {
   1.422 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.423 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.424 +                return it1_ == it.it1_;
   1.425 +            }
   1.426 +            BOOST_UBLAS_INLINE
   1.427 +            bool operator < (const const_iterator1 &it) const {
   1.428 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.429 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.430 +                return it1_ < it.it1_;
   1.431 +            }
   1.432 +
   1.433 +        private:
   1.434 +            size_type it1_;
   1.435 +            size_type it2_;
   1.436 +        };
   1.437 +#endif
   1.438 +
   1.439 +        BOOST_UBLAS_INLINE
   1.440 +        const_iterator1 begin1 () const {
   1.441 +            return find1 (0, 0, 0);
   1.442 +        }
   1.443 +        BOOST_UBLAS_INLINE
   1.444 +        const_iterator1 end1 () const {
   1.445 +            return find1 (0, size_, 0);
   1.446 +        }
   1.447 +
   1.448 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.449 +        class iterator1:
   1.450 +            public container_reference<symmetric_matrix>,
   1.451 +            public random_access_iterator_base<packed_random_access_iterator_tag,
   1.452 +                                               iterator1, value_type> {
   1.453 +        public:
   1.454 +            typedef typename symmetric_matrix::value_type value_type;
   1.455 +            typedef typename symmetric_matrix::difference_type difference_type;
   1.456 +            typedef typename symmetric_matrix::reference reference;
   1.457 +            typedef typename symmetric_matrix::pointer pointer;
   1.458 +            typedef iterator2 dual_iterator_type;
   1.459 +            typedef reverse_iterator2 dual_reverse_iterator_type;
   1.460 +
   1.461 +            // Construction and destruction
   1.462 +            BOOST_UBLAS_INLINE
   1.463 +            iterator1 ():
   1.464 +                container_reference<self_type> (), it1_ (), it2_ () {}
   1.465 +            BOOST_UBLAS_INLINE
   1.466 +            iterator1 (self_type &m, size_type it1, size_type it2):
   1.467 +                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.468 +
   1.469 +            // Arithmetic
   1.470 +            BOOST_UBLAS_INLINE
   1.471 +            iterator1 &operator ++ () {
   1.472 +                ++ it1_;
   1.473 +                return *this;
   1.474 +            }
   1.475 +            BOOST_UBLAS_INLINE
   1.476 +            iterator1 &operator -- () {
   1.477 +                -- it1_;
   1.478 +                return *this;
   1.479 +            }
   1.480 +            BOOST_UBLAS_INLINE
   1.481 +            iterator1 &operator += (difference_type n) {
   1.482 +                it1_ += n;
   1.483 +                return *this;
   1.484 +            }
   1.485 +            BOOST_UBLAS_INLINE
   1.486 +            iterator1 &operator -= (difference_type n) {
   1.487 +                it1_ -= n;
   1.488 +                return *this;
   1.489 +            }
   1.490 +            BOOST_UBLAS_INLINE
   1.491 +            difference_type operator - (const iterator1 &it) const {
   1.492 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.493 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.494 +                return it1_ - it.it1_;
   1.495 +            }
   1.496 +
   1.497 +            // Dereference
   1.498 +            BOOST_UBLAS_INLINE
   1.499 +            reference operator * () const {
   1.500 +                return (*this) () (it1_, it2_);
   1.501 +            }
   1.502 +            BOOST_UBLAS_INLINE
   1.503 +            reference operator [] (difference_type n) const {
   1.504 +                return *(*this + n);
   1.505 +            }
   1.506 +
   1.507 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.508 +            BOOST_UBLAS_INLINE
   1.509 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.510 +            typename self_type::
   1.511 +#endif
   1.512 +            iterator2 begin () const {
   1.513 +                return (*this) ().find2 (1, it1_, 0);
   1.514 +            }
   1.515 +            BOOST_UBLAS_INLINE
   1.516 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.517 +            typename self_type::
   1.518 +#endif
   1.519 +            iterator2 end () const {
   1.520 +                return (*this) ().find2 (1, it1_, (*this) ().size2 ());
   1.521 +            }
   1.522 +            BOOST_UBLAS_INLINE
   1.523 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.524 +            typename self_type::
   1.525 +#endif
   1.526 +            reverse_iterator2 rbegin () const {
   1.527 +                return reverse_iterator2 (end ());
   1.528 +            }
   1.529 +            BOOST_UBLAS_INLINE
   1.530 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.531 +            typename self_type::
   1.532 +#endif
   1.533 +            reverse_iterator2 rend () const {
   1.534 +                return reverse_iterator2 (begin ());
   1.535 +            }
   1.536 +#endif
   1.537 +
   1.538 +            // Indices
   1.539 +            BOOST_UBLAS_INLINE
   1.540 +            size_type index1 () const {
   1.541 +                return it1_;
   1.542 +            }
   1.543 +            BOOST_UBLAS_INLINE
   1.544 +            size_type index2 () const {
   1.545 +                return it2_;
   1.546 +            }
   1.547 +
   1.548 +            // Assignment
   1.549 +            BOOST_UBLAS_INLINE
   1.550 +            iterator1 &operator = (const iterator1 &it) {
   1.551 +                container_reference<self_type>::assign (&it ());
   1.552 +                it1_ = it.it1_;
   1.553 +                it2_ = it.it2_;
   1.554 +                return *this;
   1.555 +            }
   1.556 +
   1.557 +            // Comparison
   1.558 +            BOOST_UBLAS_INLINE
   1.559 +            bool operator == (const iterator1 &it) const {
   1.560 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.561 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.562 +                return it1_ == it.it1_;
   1.563 +            }
   1.564 +            BOOST_UBLAS_INLINE
   1.565 +            bool operator < (const iterator1 &it) const {
   1.566 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.567 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.568 +                return it1_ < it.it1_;
   1.569 +            }
   1.570 +
   1.571 +        private:
   1.572 +            size_type it1_;
   1.573 +            size_type it2_;
   1.574 +
   1.575 +            friend class const_iterator1;
   1.576 +        };
   1.577 +#endif
   1.578 +
   1.579 +        BOOST_UBLAS_INLINE
   1.580 +        iterator1 begin1 () {
   1.581 +            return find1 (0, 0, 0);
   1.582 +        }
   1.583 +        BOOST_UBLAS_INLINE
   1.584 +        iterator1 end1 () {
   1.585 +            return find1 (0, size_, 0);
   1.586 +        }
   1.587 +
   1.588 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.589 +        class const_iterator2:
   1.590 +            public container_const_reference<symmetric_matrix>,
   1.591 +            public random_access_iterator_base<dense_random_access_iterator_tag,
   1.592 +                                               const_iterator2, value_type> {
   1.593 +        public:
   1.594 +            typedef typename symmetric_matrix::value_type value_type;
   1.595 +            typedef typename symmetric_matrix::difference_type difference_type;
   1.596 +            typedef typename symmetric_matrix::const_reference reference;
   1.597 +            typedef const typename symmetric_matrix::pointer pointer;
   1.598 +
   1.599 +            typedef const_iterator1 dual_iterator_type;
   1.600 +            typedef const_reverse_iterator1 dual_reverse_iterator_type;
   1.601 +
   1.602 +            // Construction and destruction
   1.603 +            BOOST_UBLAS_INLINE
   1.604 +            const_iterator2 ():
   1.605 +                container_const_reference<self_type> (), it1_ (), it2_ () {}
   1.606 +            BOOST_UBLAS_INLINE
   1.607 +            const_iterator2 (const self_type &m, size_type it1, size_type it2):
   1.608 +                container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.609 +            BOOST_UBLAS_INLINE
   1.610 +            const_iterator2 (const iterator2 &it):
   1.611 +                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
   1.612 +
   1.613 +            // Arithmetic
   1.614 +            BOOST_UBLAS_INLINE
   1.615 +            const_iterator2 &operator ++ () {
   1.616 +                ++ it2_;
   1.617 +                return *this;
   1.618 +            }
   1.619 +            BOOST_UBLAS_INLINE
   1.620 +            const_iterator2 &operator -- () {
   1.621 +                -- it2_;
   1.622 +                return *this;
   1.623 +            }
   1.624 +            BOOST_UBLAS_INLINE
   1.625 +            const_iterator2 &operator += (difference_type n) {
   1.626 +                it2_ += n;
   1.627 +                return *this;
   1.628 +            }
   1.629 +            BOOST_UBLAS_INLINE
   1.630 +            const_iterator2 &operator -= (difference_type n) {
   1.631 +                it2_ -= n;
   1.632 +                return *this;
   1.633 +            }
   1.634 +            BOOST_UBLAS_INLINE
   1.635 +            difference_type operator - (const const_iterator2 &it) const {
   1.636 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.637 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.638 +                return it2_ - it.it2_;
   1.639 +            }
   1.640 +
   1.641 +            // Dereference
   1.642 +            BOOST_UBLAS_INLINE
   1.643 +            const_reference operator * () const {
   1.644 +                return (*this) () (it1_, it2_);
   1.645 +            }
   1.646 +            BOOST_UBLAS_INLINE
   1.647 +            const_reference operator [] (difference_type n) const {
   1.648 +                return *(*this + n);
   1.649 +            }
   1.650 +
   1.651 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.652 +            BOOST_UBLAS_INLINE
   1.653 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.654 +            typename self_type::
   1.655 +#endif
   1.656 +            const_iterator1 begin () const {
   1.657 +                return (*this) ().find1 (1, 0, it2_);
   1.658 +            }
   1.659 +            BOOST_UBLAS_INLINE
   1.660 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.661 +            typename self_type::
   1.662 +#endif
   1.663 +            const_iterator1 end () const {
   1.664 +                return (*this) ().find1 (1, (*this) ().size1 (), it2_);
   1.665 +            }
   1.666 +            BOOST_UBLAS_INLINE
   1.667 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.668 +            typename self_type::
   1.669 +#endif
   1.670 +            const_reverse_iterator1 rbegin () const {
   1.671 +                return const_reverse_iterator1 (end ());
   1.672 +            }
   1.673 +            BOOST_UBLAS_INLINE
   1.674 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.675 +            typename self_type::
   1.676 +#endif
   1.677 +            const_reverse_iterator1 rend () const {
   1.678 +                return const_reverse_iterator1 (begin ());
   1.679 +            }
   1.680 +#endif
   1.681 +
   1.682 +            // Indices
   1.683 +            BOOST_UBLAS_INLINE
   1.684 +            size_type index1 () const {
   1.685 +                return it1_;
   1.686 +            }
   1.687 +            BOOST_UBLAS_INLINE
   1.688 +            size_type index2 () const {
   1.689 +                return it2_;
   1.690 +            }
   1.691 +
   1.692 +            // Assignment
   1.693 +            BOOST_UBLAS_INLINE
   1.694 +            const_iterator2 &operator = (const const_iterator2 &it) {
   1.695 +                container_const_reference<self_type>::assign (&it ());
   1.696 +                it1_ = it.it1_;
   1.697 +                it2_ = it.it2_;
   1.698 +                return *this;
   1.699 +            }
   1.700 +
   1.701 +            // Comparison
   1.702 +            BOOST_UBLAS_INLINE
   1.703 +            bool operator == (const const_iterator2 &it) const {
   1.704 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.705 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.706 +                return it2_ == it.it2_;
   1.707 +            }
   1.708 +            BOOST_UBLAS_INLINE
   1.709 +            bool operator < (const const_iterator2 &it) const {
   1.710 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.711 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.712 +                return it2_ < it.it2_;
   1.713 +            }
   1.714 +
   1.715 +        private:
   1.716 +            size_type it1_;
   1.717 +            size_type it2_;
   1.718 +        };
   1.719 +#endif
   1.720 +
   1.721 +        BOOST_UBLAS_INLINE
   1.722 +        const_iterator2 begin2 () const {
   1.723 +            return find2 (0, 0, 0);
   1.724 +        }
   1.725 +        BOOST_UBLAS_INLINE
   1.726 +        const_iterator2 end2 () const {
   1.727 +            return find2 (0, 0, size_);
   1.728 +        }
   1.729 +
   1.730 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.731 +        class iterator2:
   1.732 +            public container_reference<symmetric_matrix>,
   1.733 +            public random_access_iterator_base<packed_random_access_iterator_tag,
   1.734 +                                               iterator2, value_type> {
   1.735 +        public:
   1.736 +            typedef typename symmetric_matrix::value_type value_type;
   1.737 +            typedef typename symmetric_matrix::difference_type difference_type;
   1.738 +            typedef typename symmetric_matrix::reference reference;
   1.739 +            typedef typename symmetric_matrix::pointer pointer;
   1.740 +
   1.741 +            typedef iterator1 dual_iterator_type;
   1.742 +            typedef reverse_iterator1 dual_reverse_iterator_type;
   1.743 +
   1.744 +            // Construction and destruction
   1.745 +            BOOST_UBLAS_INLINE
   1.746 +            iterator2 ():
   1.747 +                container_reference<self_type> (), it1_ (), it2_ () {}
   1.748 +            BOOST_UBLAS_INLINE
   1.749 +            iterator2 (self_type &m, size_type it1, size_type it2):
   1.750 +                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.751 +
   1.752 +            // Arithmetic
   1.753 +            BOOST_UBLAS_INLINE
   1.754 +            iterator2 &operator ++ () {
   1.755 +                ++ it2_;
   1.756 +                return *this;
   1.757 +            }
   1.758 +            BOOST_UBLAS_INLINE
   1.759 +            iterator2 &operator -- () {
   1.760 +                -- it2_;
   1.761 +                return *this;
   1.762 +            }
   1.763 +            BOOST_UBLAS_INLINE
   1.764 +            iterator2 &operator += (difference_type n) {
   1.765 +                it2_ += n;
   1.766 +                return *this;
   1.767 +            }
   1.768 +            BOOST_UBLAS_INLINE
   1.769 +            iterator2 &operator -= (difference_type n) {
   1.770 +                it2_ -= n;
   1.771 +                return *this;
   1.772 +            }
   1.773 +            BOOST_UBLAS_INLINE
   1.774 +            difference_type operator - (const iterator2 &it) const {
   1.775 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.776 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.777 +                return it2_ - it.it2_;
   1.778 +            }
   1.779 +
   1.780 +            // Dereference
   1.781 +            BOOST_UBLAS_INLINE
   1.782 +            reference operator * () const {
   1.783 +                return (*this) () (it1_, it2_);
   1.784 +            }
   1.785 +            BOOST_UBLAS_INLINE
   1.786 +            reference operator [] (difference_type n) const {
   1.787 +                return *(*this + n);
   1.788 +            }
   1.789 +
   1.790 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.791 +            BOOST_UBLAS_INLINE
   1.792 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.793 +            typename self_type::
   1.794 +#endif
   1.795 +            iterator1 begin () const {
   1.796 +                return (*this) ().find1 (1, 0, it2_);
   1.797 +            }
   1.798 +            BOOST_UBLAS_INLINE
   1.799 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.800 +            typename self_type::
   1.801 +#endif
   1.802 +            iterator1 end () const {
   1.803 +                return (*this) ().find1 (1, (*this) ().size1 (), it2_);
   1.804 +            }
   1.805 +            BOOST_UBLAS_INLINE
   1.806 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.807 +            typename self_type::
   1.808 +#endif
   1.809 +            reverse_iterator1 rbegin () const {
   1.810 +                return reverse_iterator1 (end ());
   1.811 +            }
   1.812 +            BOOST_UBLAS_INLINE
   1.813 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.814 +            typename self_type::
   1.815 +#endif
   1.816 +            reverse_iterator1 rend () const {
   1.817 +                return reverse_iterator1 (begin ());
   1.818 +            }
   1.819 +#endif
   1.820 +
   1.821 +            // Indices
   1.822 +            BOOST_UBLAS_INLINE
   1.823 +            size_type index1 () const {
   1.824 +                return it1_;
   1.825 +            }
   1.826 +            BOOST_UBLAS_INLINE
   1.827 +            size_type index2 () const {
   1.828 +                return it2_;
   1.829 +            }
   1.830 +
   1.831 +            // Assignment
   1.832 +            BOOST_UBLAS_INLINE
   1.833 +            iterator2 &operator = (const iterator2 &it) {
   1.834 +                container_reference<self_type>::assign (&it ());
   1.835 +                it1_ = it.it1_;
   1.836 +                it2_ = it.it2_;
   1.837 +                return *this;
   1.838 +            }
   1.839 +
   1.840 +            // Comparison
   1.841 +            BOOST_UBLAS_INLINE
   1.842 +            bool operator == (const iterator2 &it) const {
   1.843 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.844 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.845 +                return it2_ == it.it2_;
   1.846 +            }
   1.847 +            BOOST_UBLAS_INLINE
   1.848 +            bool operator < (const iterator2 &it) const {
   1.849 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.850 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.851 +                return it2_ < it.it2_;
   1.852 +            }
   1.853 +
   1.854 +        private:
   1.855 +            size_type it1_;
   1.856 +            size_type it2_;
   1.857 +
   1.858 +            friend class const_iterator2;
   1.859 +        };
   1.860 +#endif
   1.861 +
   1.862 +        BOOST_UBLAS_INLINE
   1.863 +        iterator2 begin2 () {
   1.864 +            return find2 (0, 0, 0);
   1.865 +        }
   1.866 +        BOOST_UBLAS_INLINE
   1.867 +        iterator2 end2 () {
   1.868 +            return find2 (0, 0, size_);
   1.869 +        }
   1.870 +
   1.871 +        // Reverse iterators
   1.872 +
   1.873 +        BOOST_UBLAS_INLINE
   1.874 +        const_reverse_iterator1 rbegin1 () const {
   1.875 +            return const_reverse_iterator1 (end1 ());
   1.876 +        }
   1.877 +        BOOST_UBLAS_INLINE
   1.878 +        const_reverse_iterator1 rend1 () const {
   1.879 +            return const_reverse_iterator1 (begin1 ());
   1.880 +        }
   1.881 +
   1.882 +        BOOST_UBLAS_INLINE
   1.883 +        reverse_iterator1 rbegin1 () {
   1.884 +            return reverse_iterator1 (end1 ());
   1.885 +        }
   1.886 +        BOOST_UBLAS_INLINE
   1.887 +        reverse_iterator1 rend1 () {
   1.888 +            return reverse_iterator1 (begin1 ());
   1.889 +        }
   1.890 +
   1.891 +        BOOST_UBLAS_INLINE
   1.892 +        const_reverse_iterator2 rbegin2 () const {
   1.893 +            return const_reverse_iterator2 (end2 ());
   1.894 +        }
   1.895 +        BOOST_UBLAS_INLINE
   1.896 +        const_reverse_iterator2 rend2 () const {
   1.897 +            return const_reverse_iterator2 (begin2 ());
   1.898 +        }
   1.899 +
   1.900 +        BOOST_UBLAS_INLINE
   1.901 +        reverse_iterator2 rbegin2 () {
   1.902 +            return reverse_iterator2 (end2 ());
   1.903 +        }
   1.904 +        BOOST_UBLAS_INLINE
   1.905 +        reverse_iterator2 rend2 () {
   1.906 +            return reverse_iterator2 (begin2 ());
   1.907 +        }
   1.908 +
   1.909 +    private:
   1.910 +        size_type size_;
   1.911 +        array_type data_;
   1.912 +    };
   1.913 +
   1.914 +
   1.915 +    // Symmetric matrix adaptor class
   1.916 +    template<class M, class TRI>
   1.917 +    class symmetric_adaptor:
   1.918 +        public matrix_expression<symmetric_adaptor<M, TRI> > {
   1.919 +
   1.920 +        typedef symmetric_adaptor<M, TRI> self_type;
   1.921 +    public:
   1.922 +#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
   1.923 +        using matrix_expression<self_type>::operator ();
   1.924 +#endif
   1.925 +        typedef const M const_matrix_type;
   1.926 +        typedef M matrix_type;
   1.927 +        typedef TRI triangular_type;
   1.928 +        typedef typename M::size_type size_type;
   1.929 +        typedef typename M::difference_type difference_type;
   1.930 +        typedef typename M::value_type value_type;
   1.931 +        typedef typename M::const_reference const_reference;
   1.932 +        typedef typename boost::mpl::if_<boost::is_const<M>,
   1.933 +                                          typename M::const_reference,
   1.934 +                                          typename M::reference>::type reference;
   1.935 +        typedef typename boost::mpl::if_<boost::is_const<M>,
   1.936 +                                          typename M::const_closure_type,
   1.937 +                                          typename M::closure_type>::type matrix_closure_type;
   1.938 +        typedef const self_type const_closure_type;
   1.939 +        typedef self_type closure_type;
   1.940 +        // Replaced by _temporary_traits to avoid type requirements on M
   1.941 +        //typedef typename M::vector_temporary_type vector_temporary_type;
   1.942 +        //typedef typename M::matrix_temporary_type matrix_temporary_type;
   1.943 +        typedef typename storage_restrict_traits<typename M::storage_category,
   1.944 +                                                 packed_proxy_tag>::storage_category storage_category;
   1.945 +        typedef typename M::orientation_category orientation_category;
   1.946 +
   1.947 +        // Construction and destruction
   1.948 +        BOOST_UBLAS_INLINE
   1.949 +        symmetric_adaptor (matrix_type &data):
   1.950 +            matrix_expression<self_type> (),
   1.951 +            data_ (data) {
   1.952 +            BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
   1.953 +        }
   1.954 +        BOOST_UBLAS_INLINE
   1.955 +        symmetric_adaptor (const symmetric_adaptor &m):
   1.956 +            matrix_expression<self_type> (),
   1.957 +            data_ (m.data_) {
   1.958 +            BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
   1.959 +        }
   1.960 +
   1.961 +        // Accessors
   1.962 +        BOOST_UBLAS_INLINE
   1.963 +        size_type size1 () const {
   1.964 +            return data_.size1 ();
   1.965 +        }
   1.966 +        BOOST_UBLAS_INLINE
   1.967 +        size_type size2 () const {
   1.968 +            return data_.size2 ();
   1.969 +        }
   1.970 +
   1.971 +        // Storage accessors
   1.972 +        BOOST_UBLAS_INLINE
   1.973 +        const matrix_closure_type &data () const {
   1.974 +            return data_;
   1.975 +        }
   1.976 +        BOOST_UBLAS_INLINE
   1.977 +        matrix_closure_type &data () {
   1.978 +            return data_;
   1.979 +        }
   1.980 +
   1.981 +        // Element access
   1.982 +#ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
   1.983 +        BOOST_UBLAS_INLINE
   1.984 +        const_reference operator () (size_type i, size_type j) const {
   1.985 +            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
   1.986 +            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
   1.987 +            if (triangular_type::other (i, j))
   1.988 +                return data () (i, j);
   1.989 +            else
   1.990 +                return data () (j, i);
   1.991 +        }
   1.992 +        BOOST_UBLAS_INLINE
   1.993 +        reference operator () (size_type i, size_type j) {
   1.994 +            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
   1.995 +            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
   1.996 +            if (triangular_type::other (i, j))
   1.997 +                return data () (i, j);
   1.998 +            else
   1.999 +                return data () (j, i);
  1.1000 +        }
  1.1001 +#else
  1.1002 +        BOOST_UBLAS_INLINE
  1.1003 +        reference operator () (size_type i, size_type j) const {
  1.1004 +            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
  1.1005 +            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
  1.1006 +            if (triangular_type::other (i, j))
  1.1007 +                return data () (i, j);
  1.1008 +            else
  1.1009 +                return data () (j, i);
  1.1010 +        }
  1.1011 +#endif
  1.1012 +
  1.1013 +        // Assignment
  1.1014 +        BOOST_UBLAS_INLINE
  1.1015 +        symmetric_adaptor &operator = (const symmetric_adaptor &m) {
  1.1016 +            matrix_assign<scalar_assign, triangular_type> (*this, m);
  1.1017 +            return *this;
  1.1018 +        }
  1.1019 +        BOOST_UBLAS_INLINE
  1.1020 +        symmetric_adaptor &assign_temporary (symmetric_adaptor &m) {
  1.1021 +            *this = m;
  1.1022 +            return *this;
  1.1023 +        }
  1.1024 +        template<class AE>
  1.1025 +        BOOST_UBLAS_INLINE
  1.1026 +        symmetric_adaptor &operator = (const matrix_expression<AE> &ae) {
  1.1027 +            matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (ae));
  1.1028 +            return *this;
  1.1029 +        }
  1.1030 +        template<class AE>
  1.1031 +        BOOST_UBLAS_INLINE
  1.1032 +        symmetric_adaptor &assign (const matrix_expression<AE> &ae) {
  1.1033 +            matrix_assign<scalar_assign, triangular_type> (*this, ae);
  1.1034 +            return *this;
  1.1035 +        }
  1.1036 +        template<class AE>
  1.1037 +        BOOST_UBLAS_INLINE
  1.1038 +        symmetric_adaptor& operator += (const matrix_expression<AE> &ae) {
  1.1039 +            matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this + ae));
  1.1040 +            return *this;
  1.1041 +        }
  1.1042 +        template<class AE>
  1.1043 +        BOOST_UBLAS_INLINE
  1.1044 +        symmetric_adaptor &plus_assign (const matrix_expression<AE> &ae) {
  1.1045 +            matrix_assign<scalar_plus_assign, triangular_type> (*this, ae);
  1.1046 +            return *this;
  1.1047 +        }
  1.1048 +        template<class AE>
  1.1049 +        BOOST_UBLAS_INLINE
  1.1050 +        symmetric_adaptor& operator -= (const matrix_expression<AE> &ae) {
  1.1051 +            matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this - ae));
  1.1052 +            return *this;
  1.1053 +        }
  1.1054 +        template<class AE>
  1.1055 +        BOOST_UBLAS_INLINE
  1.1056 +        symmetric_adaptor &minus_assign (const matrix_expression<AE> &ae) {
  1.1057 +            matrix_assign<scalar_minus_assign, triangular_type> (*this, ae);
  1.1058 +            return *this;
  1.1059 +        }
  1.1060 +        template<class AT>
  1.1061 +        BOOST_UBLAS_INLINE
  1.1062 +        symmetric_adaptor& operator *= (const AT &at) {
  1.1063 +            matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
  1.1064 +            return *this;
  1.1065 +        }
  1.1066 +        template<class AT>
  1.1067 +        BOOST_UBLAS_INLINE
  1.1068 +        symmetric_adaptor& operator /= (const AT &at) {
  1.1069 +            matrix_assign_scalar<scalar_divides_assign> (*this, at);
  1.1070 +            return *this;
  1.1071 +        }
  1.1072 +
  1.1073 +        // Closure comparison
  1.1074 +        BOOST_UBLAS_INLINE
  1.1075 +        bool same_closure (const symmetric_adaptor &sa) const {
  1.1076 +            return (*this).data ().same_closure (sa.data ());
  1.1077 +       }
  1.1078 +
  1.1079 +        // Swapping
  1.1080 +        BOOST_UBLAS_INLINE
  1.1081 +        void swap (symmetric_adaptor &m) {
  1.1082 +            if (this != &m)
  1.1083 +                matrix_swap<scalar_swap, triangular_type> (*this, m);
  1.1084 +        }
  1.1085 +        BOOST_UBLAS_INLINE
  1.1086 +        friend void swap (symmetric_adaptor &m1, symmetric_adaptor &m2) {
  1.1087 +            m1.swap (m2);
  1.1088 +        }
  1.1089 +
  1.1090 +        // Iterator types
  1.1091 +    private:
  1.1092 +        // Use matrix iterator
  1.1093 +        typedef typename M::const_iterator1 const_subiterator1_type;
  1.1094 +        typedef typename boost::mpl::if_<boost::is_const<M>,
  1.1095 +                                          typename M::const_iterator1,
  1.1096 +                                          typename M::iterator1>::type subiterator1_type;
  1.1097 +        typedef typename M::const_iterator2 const_subiterator2_type;
  1.1098 +        typedef typename boost::mpl::if_<boost::is_const<M>,
  1.1099 +                                          typename M::const_iterator2,
  1.1100 +                                          typename M::iterator2>::type subiterator2_type;
  1.1101 +
  1.1102 +    public:
  1.1103 +#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1104 +        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
  1.1105 +        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
  1.1106 +        typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
  1.1107 +        typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
  1.1108 +#else
  1.1109 +        class const_iterator1;
  1.1110 +        class iterator1;
  1.1111 +        class const_iterator2;
  1.1112 +        class iterator2;
  1.1113 +#endif
  1.1114 +        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
  1.1115 +        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
  1.1116 +        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
  1.1117 +        typedef reverse_iterator_base2<iterator2> reverse_iterator2;
  1.1118 +
  1.1119 +        // Element lookup
  1.1120 +        BOOST_UBLAS_INLINE
  1.1121 +        const_iterator1 find1 (int rank, size_type i, size_type j) const {
  1.1122 +            if (triangular_type::other (i, j)) {
  1.1123 +                if (triangular_type::other (size1 (), j)) {
  1.1124 +                    return const_iterator1 (*this, 0, 0,
  1.1125 +                                            data ().find1 (rank, i, j), data ().find1 (rank, size1 (), j),
  1.1126 +                                            data ().find2 (rank, size2 (), size1 ()), data ().find2 (rank, size2 (), size1 ()));
  1.1127 +                } else {
  1.1128 +                    return const_iterator1 (*this, 0, 1,
  1.1129 +                                            data ().find1 (rank, i, j), data ().find1 (rank, j, j),
  1.1130 +                                            data ().find2 (rank, j, j), data ().find2 (rank, j, size1 ()));
  1.1131 +                }
  1.1132 +            } else {
  1.1133 +                if (triangular_type::other (size1 (), j)) {
  1.1134 +                    return const_iterator1 (*this, 1, 0,
  1.1135 +                                            data ().find1 (rank, j, j), data ().find1 (rank, size1 (), j),
  1.1136 +                                            data ().find2 (rank, j, i), data ().find2 (rank, j, j));
  1.1137 +                } else {
  1.1138 +                    return const_iterator1 (*this, 1, 1,
  1.1139 +                                            data ().find1 (rank, size1 (), size2 ()), data ().find1 (rank, size1 (), size2 ()),
  1.1140 +                                            data ().find2 (rank, j, i), data ().find2 (rank, j, size1 ()));
  1.1141 +                }
  1.1142 +            }
  1.1143 +        }
  1.1144 +        BOOST_UBLAS_INLINE
  1.1145 +        iterator1 find1 (int rank, size_type i, size_type j) {
  1.1146 +            if (rank == 1)
  1.1147 +                i = triangular_type::mutable_restrict1 (i, j);
  1.1148 +            return iterator1 (*this, data ().find1 (rank, i, j));
  1.1149 +        }
  1.1150 +        BOOST_UBLAS_INLINE
  1.1151 +        const_iterator2 find2 (int rank, size_type i, size_type j) const {
  1.1152 +            if (triangular_type::other (i, j)) {
  1.1153 +                if (triangular_type::other (i, size2 ())) {
  1.1154 +                    return const_iterator2 (*this, 1, 1,
  1.1155 +                                            data ().find1 (rank, size2 (), size1 ()), data ().find1 (rank, size2 (), size1 ()),
  1.1156 +                                            data ().find2 (rank, i, j), data ().find2 (rank, i, size2 ()));
  1.1157 +                } else {
  1.1158 +                    return const_iterator2 (*this, 1, 0,
  1.1159 +                                            data ().find1 (rank, i, i), data ().find1 (rank, size2 (), i),
  1.1160 +                                            data ().find2 (rank, i, j), data ().find2 (rank, i, i));
  1.1161 +                }
  1.1162 +            } else {
  1.1163 +                if (triangular_type::other (i, size2 ())) {
  1.1164 +                    return const_iterator2 (*this, 0, 1,
  1.1165 +                                            data ().find1 (rank, j, i), data ().find1 (rank, i, i),
  1.1166 +                                            data ().find2 (rank, i, i), data ().find2 (rank, i, size2 ()));
  1.1167 +                } else {
  1.1168 +                    return const_iterator2 (*this, 0, 0,
  1.1169 +                                            data ().find1 (rank, j, i), data ().find1 (rank, size2 (), i),
  1.1170 +                                            data ().find2 (rank, size1 (), size2 ()), data ().find2 (rank, size2 (), size2 ()));
  1.1171 +                }
  1.1172 +            }
  1.1173 +        }
  1.1174 +        BOOST_UBLAS_INLINE
  1.1175 +        iterator2 find2 (int rank, size_type i, size_type j) {
  1.1176 +            if (rank == 1)
  1.1177 +                j = triangular_type::mutable_restrict2 (i, j);
  1.1178 +            return iterator2 (*this, data ().find2 (rank, i, j));
  1.1179 +        }
  1.1180 +
  1.1181 +        // Iterators simply are indices.
  1.1182 +
  1.1183 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1184 +        class const_iterator1:
  1.1185 +            public container_const_reference<symmetric_adaptor>,
  1.1186 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1187 +                                                   typename const_subiterator1_type::iterator_category, dense_random_access_iterator_tag>::iterator_category,
  1.1188 +                                               const_iterator1, value_type> {
  1.1189 +        public:
  1.1190 +            typedef typename const_subiterator1_type::value_type value_type;
  1.1191 +            typedef typename const_subiterator1_type::difference_type difference_type;
  1.1192 +            typedef typename const_subiterator1_type::reference reference;
  1.1193 +            typedef typename const_subiterator1_type::pointer pointer;
  1.1194 +
  1.1195 +            typedef const_iterator2 dual_iterator_type;
  1.1196 +            typedef const_reverse_iterator2 dual_reverse_iterator_type;
  1.1197 +
  1.1198 +            // Construction and destruction
  1.1199 +            BOOST_UBLAS_INLINE
  1.1200 +            const_iterator1 ():
  1.1201 +                container_const_reference<self_type> (),
  1.1202 +                begin_ (-1), end_ (-1), current_ (-1),
  1.1203 +                it1_begin_ (), it1_end_ (), it1_ (),
  1.1204 +                it2_begin_ (), it2_end_ (), it2_ () {}
  1.1205 +            BOOST_UBLAS_INLINE
  1.1206 +            const_iterator1 (const self_type &m, int begin, int end,
  1.1207 +                             const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end,
  1.1208 +                             const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end):
  1.1209 +                container_const_reference<self_type> (m),
  1.1210 +                begin_ (begin), end_ (end), current_ (begin),
  1.1211 +                it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_),
  1.1212 +                it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) {
  1.1213 +                if (current_ == 0 && it1_ == it1_end_)
  1.1214 +                    current_ = 1;
  1.1215 +                if (current_ == 1 && it2_ == it2_end_)
  1.1216 +                    current_ = 0;
  1.1217 +                if ((current_ == 0 && it1_ == it1_end_) ||
  1.1218 +                    (current_ == 1 && it2_ == it2_end_))
  1.1219 +                    current_ = end_;
  1.1220 +                BOOST_UBLAS_CHECK (current_ == end_ ||
  1.1221 +                                   (current_ == 0 && it1_ != it1_end_) ||
  1.1222 +                                   (current_ == 1 && it2_ != it2_end_), internal_logic ());
  1.1223 +            }
  1.1224 +            // FIXME cannot compile
  1.1225 +            //  iterator1 does not have these members!
  1.1226 +            BOOST_UBLAS_INLINE
  1.1227 +            const_iterator1 (const iterator1 &it):
  1.1228 +                container_const_reference<self_type> (it ()),
  1.1229 +                begin_ (it.begin_), end_ (it.end_), current_ (it.current_),
  1.1230 +                it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_),
  1.1231 +                it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) {
  1.1232 +                BOOST_UBLAS_CHECK (current_ == end_ ||
  1.1233 +                                   (current_ == 0 && it1_ != it1_end_) ||
  1.1234 +                                   (current_ == 1 && it2_ != it2_end_), internal_logic ());
  1.1235 +            }
  1.1236 +
  1.1237 +            // Arithmetic
  1.1238 +            BOOST_UBLAS_INLINE
  1.1239 +            const_iterator1 &operator ++ () {
  1.1240 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1241 +                if (current_ == 0) {
  1.1242 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1243 +                    ++ it1_;
  1.1244 +                    if (it1_ == it1_end_ && end_ == 1) {
  1.1245 +                        it2_ = it2_begin_;
  1.1246 +                        current_ = 1;
  1.1247 +                    }
  1.1248 +                } else /* if (current_ == 1) */ {
  1.1249 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1250 +                    ++ it2_;
  1.1251 +                    if (it2_ == it2_end_ && end_ == 0) {
  1.1252 +                        it1_ = it1_begin_;
  1.1253 +                        current_ = 0;
  1.1254 +                    }
  1.1255 +                }
  1.1256 +                return *this;
  1.1257 +            }
  1.1258 +            BOOST_UBLAS_INLINE
  1.1259 +            const_iterator1 &operator -- () {
  1.1260 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1261 +                if (current_ == 0) {
  1.1262 +                    if (it1_ == it1_begin_ && begin_ == 1) {
  1.1263 +                        it2_ = it2_end_;
  1.1264 +                        BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ());
  1.1265 +                        -- it2_;
  1.1266 +                        current_ = 1;
  1.1267 +                    } else {
  1.1268 +                        -- it1_;
  1.1269 +                    }
  1.1270 +                } else /* if (current_ == 1) */ {
  1.1271 +                    if (it2_ == it2_begin_ && begin_ == 0) {
  1.1272 +                        it1_ = it1_end_;
  1.1273 +                        BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ());
  1.1274 +                        -- it1_;
  1.1275 +                        current_ = 0;
  1.1276 +                    } else {
  1.1277 +                        -- it2_;
  1.1278 +                    }
  1.1279 +                }
  1.1280 +                return *this;
  1.1281 +            }
  1.1282 +            BOOST_UBLAS_INLINE
  1.1283 +            const_iterator1 &operator += (difference_type n) {
  1.1284 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1285 +                if (current_ == 0) {
  1.1286 +                    size_type d = (std::min) (n, it1_end_ - it1_);
  1.1287 +                    it1_ += d;
  1.1288 +                    n -= d;
  1.1289 +                    if (n > 0 || (end_ == 1 && it1_ == it1_end_)) {
  1.1290 +                        BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
  1.1291 +                        d = (std::min) (n, it2_end_ - it2_begin_);
  1.1292 +                        it2_ = it2_begin_ + d;
  1.1293 +                        n -= d;
  1.1294 +                        current_ = 1;
  1.1295 +                    }
  1.1296 +                } else /* if (current_ == 1) */ {
  1.1297 +                    size_type d = (std::min) (n, it2_end_ - it2_);
  1.1298 +                    it2_ += d;
  1.1299 +                    n -= d;
  1.1300 +                    if (n > 0 || (end_ == 0 && it2_ == it2_end_)) {
  1.1301 +                        BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
  1.1302 +                        d = (std::min) (n, it1_end_ - it1_begin_);
  1.1303 +                        it1_ = it1_begin_ + d;
  1.1304 +                        n -= d;
  1.1305 +                        current_ = 0;
  1.1306 +                    }
  1.1307 +                }
  1.1308 +                BOOST_UBLAS_CHECK (n == 0, external_logic ());
  1.1309 +                return *this;
  1.1310 +            }
  1.1311 +            BOOST_UBLAS_INLINE
  1.1312 +            const_iterator1 &operator -= (difference_type n) {
  1.1313 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1314 +                if (current_ == 0) {
  1.1315 +                    size_type d = (std::min) (n, it1_ - it1_begin_);
  1.1316 +                    it1_ -= d;
  1.1317 +                    n -= d;
  1.1318 +                    if (n > 0) {
  1.1319 +                        BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
  1.1320 +                        d = (std::min) (n, it2_end_ - it2_begin_);
  1.1321 +                        it2_ = it2_end_ - d;
  1.1322 +                        n -= d;
  1.1323 +                        current_ = 1;
  1.1324 +                    }
  1.1325 +                } else /* if (current_ == 1) */ {
  1.1326 +                    size_type d = (std::min) (n, it2_ - it2_begin_);
  1.1327 +                    it2_ -= d;
  1.1328 +                    n -= d;
  1.1329 +                    if (n > 0) {
  1.1330 +                        BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
  1.1331 +                        d = (std::min) (n, it1_end_ - it1_begin_);
  1.1332 +                        it1_ = it1_end_ - d;
  1.1333 +                        n -= d;
  1.1334 +                        current_ = 0;
  1.1335 +                    }
  1.1336 +                }
  1.1337 +                BOOST_UBLAS_CHECK (n == 0, external_logic ());
  1.1338 +                return *this;
  1.1339 +            }
  1.1340 +            BOOST_UBLAS_INLINE
  1.1341 +            difference_type operator - (const const_iterator1 &it) const {
  1.1342 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1343 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1344 +                BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
  1.1345 +                BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
  1.1346 +                if (current_ == 0 && it.current_ == 0) {
  1.1347 +                    return it1_ - it.it1_;
  1.1348 +                } else if (current_ == 0 && it.current_ == 1) {
  1.1349 +                    if (end_ == 1 && it.end_ == 1) {
  1.1350 +                        return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_);
  1.1351 +                    } else /* if (end_ == 0 && it.end_ == 0) */ {
  1.1352 +                        return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_);
  1.1353 +                    }
  1.1354 +
  1.1355 +                } else if (current_ == 1 && it.current_ == 0) {
  1.1356 +                    if (end_ == 1 && it.end_ == 1) {
  1.1357 +                        return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_);
  1.1358 +                    } else /* if (end_ == 0 && it.end_ == 0) */ {
  1.1359 +                        return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_);
  1.1360 +                    }
  1.1361 +                }
  1.1362 +                /* current_ == 1 && it.current_ == 1 */ {
  1.1363 +                    return it2_ - it.it2_;
  1.1364 +                }
  1.1365 +            }
  1.1366 +
  1.1367 +            // Dereference
  1.1368 +            BOOST_UBLAS_INLINE
  1.1369 +            const_reference operator * () const {
  1.1370 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1371 +                if (current_ == 0) {
  1.1372 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1373 +                    return *it1_;
  1.1374 +                } else /* if (current_ == 1) */ {
  1.1375 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1376 +                    return *it2_;
  1.1377 +                }
  1.1378 +            }
  1.1379 +            BOOST_UBLAS_INLINE
  1.1380 +            const_reference operator [] (difference_type n) const {
  1.1381 +                return *(*this + n);
  1.1382 +            }
  1.1383 +
  1.1384 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1385 +            BOOST_UBLAS_INLINE
  1.1386 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1387 +            typename self_type::
  1.1388 +#endif
  1.1389 +            const_iterator2 begin () const {
  1.1390 +                return (*this) ().find2 (1, index1 (), 0);
  1.1391 +            }
  1.1392 +            BOOST_UBLAS_INLINE
  1.1393 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1394 +            typename self_type::
  1.1395 +#endif
  1.1396 +            const_iterator2 end () const {
  1.1397 +                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
  1.1398 +            }
  1.1399 +            BOOST_UBLAS_INLINE
  1.1400 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1401 +            typename self_type::
  1.1402 +#endif
  1.1403 +            const_reverse_iterator2 rbegin () const {
  1.1404 +                return const_reverse_iterator2 (end ());
  1.1405 +            }
  1.1406 +            BOOST_UBLAS_INLINE
  1.1407 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1408 +            typename self_type::
  1.1409 +#endif
  1.1410 +            const_reverse_iterator2 rend () const {
  1.1411 +                return const_reverse_iterator2 (begin ());
  1.1412 +            }
  1.1413 +#endif
  1.1414 +
  1.1415 +            // Indices
  1.1416 +            BOOST_UBLAS_INLINE
  1.1417 +            size_type index1 () const {
  1.1418 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1419 +                if (current_ == 0) {
  1.1420 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1421 +                    return it1_.index1 ();
  1.1422 +                } else /* if (current_ == 1) */ {
  1.1423 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1424 +                    return it2_.index2 ();
  1.1425 +                }
  1.1426 +            }
  1.1427 +            BOOST_UBLAS_INLINE
  1.1428 +            size_type index2 () const {
  1.1429 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1430 +                if (current_ == 0) {
  1.1431 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1432 +                    return it1_.index2 ();
  1.1433 +                } else /* if (current_ == 1) */ {
  1.1434 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1435 +                    return it2_.index1 ();
  1.1436 +                }
  1.1437 +            }
  1.1438 +
  1.1439 +            // Assignment
  1.1440 +            BOOST_UBLAS_INLINE
  1.1441 +            const_iterator1 &operator = (const const_iterator1 &it) {
  1.1442 +                container_const_reference<self_type>::assign (&it ());
  1.1443 +                begin_ = it.begin_;
  1.1444 +                end_ = it.end_;
  1.1445 +                current_ = it.current_;
  1.1446 +                it1_begin_ = it.it1_begin_;
  1.1447 +                it1_end_ = it.it1_end_;
  1.1448 +                it1_ = it.it1_;
  1.1449 +                it2_begin_ = it.it2_begin_;
  1.1450 +                it2_end_ = it.it2_end_;
  1.1451 +                it2_ = it.it2_;
  1.1452 +                return *this;
  1.1453 +            }
  1.1454 +
  1.1455 +            // Comparison
  1.1456 +            BOOST_UBLAS_INLINE
  1.1457 +            bool operator == (const const_iterator1 &it) const {
  1.1458 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1459 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1460 +                BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
  1.1461 +                BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
  1.1462 +                return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) ||
  1.1463 +                       (current_ == 1 && it.current_ == 1 && it2_ == it.it2_);
  1.1464 +            }
  1.1465 +            BOOST_UBLAS_INLINE
  1.1466 +            bool operator < (const const_iterator1 &it) const {
  1.1467 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1468 +                return it - *this > 0;
  1.1469 +            }
  1.1470 +
  1.1471 +        private:
  1.1472 +            int begin_;
  1.1473 +            int end_;
  1.1474 +            int current_;
  1.1475 +            const_subiterator1_type it1_begin_;
  1.1476 +            const_subiterator1_type it1_end_;
  1.1477 +            const_subiterator1_type it1_;
  1.1478 +            const_subiterator2_type it2_begin_;
  1.1479 +            const_subiterator2_type it2_end_;
  1.1480 +            const_subiterator2_type it2_;
  1.1481 +        };
  1.1482 +#endif
  1.1483 +
  1.1484 +        BOOST_UBLAS_INLINE
  1.1485 +        const_iterator1 begin1 () const {
  1.1486 +            return find1 (0, 0, 0);
  1.1487 +        }
  1.1488 +        BOOST_UBLAS_INLINE
  1.1489 +        const_iterator1 end1 () const {
  1.1490 +            return find1 (0, size1 (), 0);
  1.1491 +        }
  1.1492 +
  1.1493 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1494 +        class iterator1:
  1.1495 +            public container_reference<symmetric_adaptor>,
  1.1496 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1497 +                                                   typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
  1.1498 +                                               iterator1, value_type> {
  1.1499 +        public:
  1.1500 +            typedef typename subiterator1_type::value_type value_type;
  1.1501 +            typedef typename subiterator1_type::difference_type difference_type;
  1.1502 +            typedef typename subiterator1_type::reference reference;
  1.1503 +            typedef typename subiterator1_type::pointer pointer;
  1.1504 +
  1.1505 +            typedef iterator2 dual_iterator_type;
  1.1506 +            typedef reverse_iterator2 dual_reverse_iterator_type;
  1.1507 +
  1.1508 +            // Construction and destruction
  1.1509 +            BOOST_UBLAS_INLINE
  1.1510 +            iterator1 ():
  1.1511 +                container_reference<self_type> (), it1_ () {}
  1.1512 +            BOOST_UBLAS_INLINE
  1.1513 +            iterator1 (self_type &m, const subiterator1_type &it1):
  1.1514 +                container_reference<self_type> (m), it1_ (it1) {}
  1.1515 +
  1.1516 +            // Arithmetic
  1.1517 +            BOOST_UBLAS_INLINE
  1.1518 +            iterator1 &operator ++ () {
  1.1519 +                ++ it1_;
  1.1520 +                return *this;
  1.1521 +            }
  1.1522 +            BOOST_UBLAS_INLINE
  1.1523 +            iterator1 &operator -- () {
  1.1524 +                -- it1_;
  1.1525 +                return *this;
  1.1526 +            }
  1.1527 +            BOOST_UBLAS_INLINE
  1.1528 +            iterator1 &operator += (difference_type n) {
  1.1529 +                it1_ += n;
  1.1530 +                return *this;
  1.1531 +            }
  1.1532 +            BOOST_UBLAS_INLINE
  1.1533 +            iterator1 &operator -= (difference_type n) {
  1.1534 +                it1_ -= n;
  1.1535 +                return *this;
  1.1536 +            }
  1.1537 +            BOOST_UBLAS_INLINE
  1.1538 +            difference_type operator - (const iterator1 &it) const {
  1.1539 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1540 +                return it1_ - it.it1_;
  1.1541 +            }
  1.1542 +
  1.1543 +            // Dereference
  1.1544 +            BOOST_UBLAS_INLINE
  1.1545 +            reference operator * () const {
  1.1546 +                return *it1_;
  1.1547 +            }
  1.1548 +            BOOST_UBLAS_INLINE
  1.1549 +            reference operator [] (difference_type n) const {
  1.1550 +                return *(*this + n);
  1.1551 +            }
  1.1552 +
  1.1553 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1554 +            BOOST_UBLAS_INLINE
  1.1555 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1556 +            typename self_type::
  1.1557 +#endif
  1.1558 +            iterator2 begin () const {
  1.1559 +                return (*this) ().find2 (1, index1 (), 0);
  1.1560 +            }
  1.1561 +            BOOST_UBLAS_INLINE
  1.1562 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1563 +            typename self_type::
  1.1564 +#endif
  1.1565 +            iterator2 end () const {
  1.1566 +                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
  1.1567 +            }
  1.1568 +            BOOST_UBLAS_INLINE
  1.1569 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1570 +            typename self_type::
  1.1571 +#endif
  1.1572 +            reverse_iterator2 rbegin () const {
  1.1573 +                return reverse_iterator2 (end ());
  1.1574 +            }
  1.1575 +            BOOST_UBLAS_INLINE
  1.1576 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1577 +            typename self_type::
  1.1578 +#endif
  1.1579 +            reverse_iterator2 rend () const {
  1.1580 +                return reverse_iterator2 (begin ());
  1.1581 +            }
  1.1582 +#endif
  1.1583 +
  1.1584 +            // Indices
  1.1585 +            BOOST_UBLAS_INLINE
  1.1586 +            size_type index1 () const {
  1.1587 +                return it1_.index1 ();
  1.1588 +            }
  1.1589 +            BOOST_UBLAS_INLINE
  1.1590 +            size_type index2 () const {
  1.1591 +                return it1_.index2 ();
  1.1592 +            }
  1.1593 +
  1.1594 +            // Assignment
  1.1595 +            BOOST_UBLAS_INLINE
  1.1596 +            iterator1 &operator = (const iterator1 &it) {
  1.1597 +                container_reference<self_type>::assign (&it ());
  1.1598 +                it1_ = it.it1_;
  1.1599 +                return *this;
  1.1600 +            }
  1.1601 +
  1.1602 +            // Comparison
  1.1603 +            BOOST_UBLAS_INLINE
  1.1604 +            bool operator == (const iterator1 &it) const {
  1.1605 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1606 +                return it1_ == it.it1_;
  1.1607 +            }
  1.1608 +            BOOST_UBLAS_INLINE
  1.1609 +            bool operator < (const iterator1 &it) const {
  1.1610 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1611 +                return it1_ < it.it1_;
  1.1612 +            }
  1.1613 +
  1.1614 +        private:
  1.1615 +            subiterator1_type it1_;
  1.1616 +
  1.1617 +            friend class const_iterator1;
  1.1618 +        };
  1.1619 +#endif
  1.1620 +
  1.1621 +        BOOST_UBLAS_INLINE
  1.1622 +        iterator1 begin1 () {
  1.1623 +            return find1 (0, 0, 0);
  1.1624 +        }
  1.1625 +        BOOST_UBLAS_INLINE
  1.1626 +        iterator1 end1 () {
  1.1627 +            return find1 (0, size1 (), 0);
  1.1628 +        }
  1.1629 +
  1.1630 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1631 +        class const_iterator2:
  1.1632 +            public container_const_reference<symmetric_adaptor>,
  1.1633 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1634 +                                                   typename const_subiterator2_type::iterator_category, dense_random_access_iterator_tag>::iterator_category,
  1.1635 +                                               const_iterator2, value_type> {
  1.1636 +        public:
  1.1637 +            typedef typename const_subiterator2_type::value_type value_type;
  1.1638 +            typedef typename const_subiterator2_type::difference_type difference_type;
  1.1639 +            typedef typename const_subiterator2_type::reference reference;
  1.1640 +            typedef typename const_subiterator2_type::pointer pointer;
  1.1641 +
  1.1642 +            typedef const_iterator1 dual_iterator_type;
  1.1643 +            typedef const_reverse_iterator1 dual_reverse_iterator_type;
  1.1644 +
  1.1645 +            // Construction and destruction
  1.1646 +            BOOST_UBLAS_INLINE
  1.1647 +            const_iterator2 ():
  1.1648 +                container_const_reference<self_type> (),
  1.1649 +                begin_ (-1), end_ (-1), current_ (-1),
  1.1650 +                it1_begin_ (), it1_end_ (), it1_ (),
  1.1651 +                it2_begin_ (), it2_end_ (), it2_ () {}
  1.1652 +            BOOST_UBLAS_INLINE
  1.1653 +            const_iterator2 (const self_type &m, int begin, int end,
  1.1654 +                             const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end,
  1.1655 +                             const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end):
  1.1656 +                container_const_reference<self_type> (m),
  1.1657 +                begin_ (begin), end_ (end), current_ (begin),
  1.1658 +                it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_),
  1.1659 +                it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) {
  1.1660 +                if (current_ == 0 && it1_ == it1_end_)
  1.1661 +                    current_ = 1;
  1.1662 +                if (current_ == 1 && it2_ == it2_end_)
  1.1663 +                    current_ = 0;
  1.1664 +                if ((current_ == 0 && it1_ == it1_end_) ||
  1.1665 +                    (current_ == 1 && it2_ == it2_end_))
  1.1666 +                    current_ = end_;
  1.1667 +                BOOST_UBLAS_CHECK (current_ == end_ ||
  1.1668 +                                   (current_ == 0 && it1_ != it1_end_) ||
  1.1669 +                                   (current_ == 1 && it2_ != it2_end_), internal_logic ());
  1.1670 +            }
  1.1671 +            // FIXME cannot compiler
  1.1672 +            //  iterator2 does not have these members!
  1.1673 +            BOOST_UBLAS_INLINE
  1.1674 +            const_iterator2 (const iterator2 &it):
  1.1675 +                container_const_reference<self_type> (it ()),
  1.1676 +                begin_ (it.begin_), end_ (it.end_), current_ (it.current_),
  1.1677 +                it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_),
  1.1678 +                it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) {
  1.1679 +                BOOST_UBLAS_CHECK (current_ == end_ ||
  1.1680 +                                   (current_ == 0 && it1_ != it1_end_) ||
  1.1681 +                                   (current_ == 1 && it2_ != it2_end_), internal_logic ());
  1.1682 +            }
  1.1683 +
  1.1684 +            // Arithmetic
  1.1685 +            BOOST_UBLAS_INLINE
  1.1686 +            const_iterator2 &operator ++ () {
  1.1687 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1688 +                if (current_ == 0) {
  1.1689 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1690 +                    ++ it1_;
  1.1691 +                    if (it1_ == it1_end_ && end_ == 1) {
  1.1692 +                        it2_ = it2_begin_;
  1.1693 +                        current_ = 1;
  1.1694 +                    }
  1.1695 +                } else /* if (current_ == 1) */ {
  1.1696 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1697 +                    ++ it2_;
  1.1698 +                    if (it2_ == it2_end_ && end_ == 0) {
  1.1699 +                        it1_ = it1_begin_;
  1.1700 +                        current_ = 0;
  1.1701 +                    }
  1.1702 +                }
  1.1703 +                return *this;
  1.1704 +            }
  1.1705 +            BOOST_UBLAS_INLINE
  1.1706 +            const_iterator2 &operator -- () {
  1.1707 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1708 +                if (current_ == 0) {
  1.1709 +                    if (it1_ == it1_begin_ && begin_ == 1) {
  1.1710 +                        it2_ = it2_end_;
  1.1711 +                        BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ());
  1.1712 +                        -- it2_;
  1.1713 +                        current_ = 1;
  1.1714 +                    } else {
  1.1715 +                        -- it1_;
  1.1716 +                    }
  1.1717 +                } else /* if (current_ == 1) */ {
  1.1718 +                    if (it2_ == it2_begin_ && begin_ == 0) {
  1.1719 +                        it1_ = it1_end_;
  1.1720 +                        BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ());
  1.1721 +                        -- it1_;
  1.1722 +                        current_ = 0;
  1.1723 +                    } else {
  1.1724 +                        -- it2_;
  1.1725 +                    }
  1.1726 +                }
  1.1727 +                return *this;
  1.1728 +            }
  1.1729 +            BOOST_UBLAS_INLINE
  1.1730 +            const_iterator2 &operator += (difference_type n) {
  1.1731 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1732 +                if (current_ == 0) {
  1.1733 +                    size_type d = (std::min) (n, it1_end_ - it1_);
  1.1734 +                    it1_ += d;
  1.1735 +                    n -= d;
  1.1736 +                    if (n > 0 || (end_ == 1 && it1_ == it1_end_)) {
  1.1737 +                        BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
  1.1738 +                        d = (std::min) (n, it2_end_ - it2_begin_);
  1.1739 +                        it2_ = it2_begin_ + d;
  1.1740 +                        n -= d;
  1.1741 +                        current_ = 1;
  1.1742 +                    }
  1.1743 +                } else /* if (current_ == 1) */ {
  1.1744 +                    size_type d = (std::min) (n, it2_end_ - it2_);
  1.1745 +                    it2_ += d;
  1.1746 +                    n -= d;
  1.1747 +                    if (n > 0 || (end_ == 0 && it2_ == it2_end_)) {
  1.1748 +                        BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
  1.1749 +                        d = (std::min) (n, it1_end_ - it1_begin_);
  1.1750 +                        it1_ = it1_begin_ + d;
  1.1751 +                        n -= d;
  1.1752 +                        current_ = 0;
  1.1753 +                    }
  1.1754 +                }
  1.1755 +                BOOST_UBLAS_CHECK (n == 0, external_logic ());
  1.1756 +                return *this;
  1.1757 +            }
  1.1758 +            BOOST_UBLAS_INLINE
  1.1759 +            const_iterator2 &operator -= (difference_type n) {
  1.1760 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1761 +                if (current_ == 0) {
  1.1762 +                    size_type d = (std::min) (n, it1_ - it1_begin_);
  1.1763 +                    it1_ -= d;
  1.1764 +                    n -= d;
  1.1765 +                    if (n > 0) {
  1.1766 +                        BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
  1.1767 +                        d = (std::min) (n, it2_end_ - it2_begin_);
  1.1768 +                        it2_ = it2_end_ - d;
  1.1769 +                        n -= d;
  1.1770 +                        current_ = 1;
  1.1771 +                    }
  1.1772 +                } else /* if (current_ == 1) */ {
  1.1773 +                    size_type d = (std::min) (n, it2_ - it2_begin_);
  1.1774 +                    it2_ -= d;
  1.1775 +                    n -= d;
  1.1776 +                    if (n > 0) {
  1.1777 +                        BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
  1.1778 +                        d = (std::min) (n, it1_end_ - it1_begin_);
  1.1779 +                        it1_ = it1_end_ - d;
  1.1780 +                        n -= d;
  1.1781 +                        current_ = 0;
  1.1782 +                    }
  1.1783 +                }
  1.1784 +                BOOST_UBLAS_CHECK (n == 0, external_logic ());
  1.1785 +                return *this;
  1.1786 +            }
  1.1787 +            BOOST_UBLAS_INLINE
  1.1788 +            difference_type operator - (const const_iterator2 &it) const {
  1.1789 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1790 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1791 +                BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
  1.1792 +                BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
  1.1793 +                if (current_ == 0 && it.current_ == 0) {
  1.1794 +                    return it1_ - it.it1_;
  1.1795 +                } else if (current_ == 0 && it.current_ == 1) {
  1.1796 +                    if (end_ == 1 && it.end_ == 1) {
  1.1797 +                        return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_);
  1.1798 +                    } else /* if (end_ == 0 && it.end_ == 0) */ {
  1.1799 +                        return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_);
  1.1800 +                    }
  1.1801 +
  1.1802 +                } else if (current_ == 1 && it.current_ == 0) {
  1.1803 +                    if (end_ == 1 && it.end_ == 1) {
  1.1804 +                        return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_);
  1.1805 +                    } else /* if (end_ == 0 && it.end_ == 0) */ {
  1.1806 +                        return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_);
  1.1807 +                    }
  1.1808 +                }
  1.1809 +                /* current_ == 1 && it.current_ == 1 */ {
  1.1810 +                    return it2_ - it.it2_;
  1.1811 +                }
  1.1812 +            }
  1.1813 +
  1.1814 +            // Dereference
  1.1815 +            BOOST_UBLAS_INLINE
  1.1816 +            const_reference operator * () const {
  1.1817 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1818 +                if (current_ == 0) {
  1.1819 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1820 +                    return *it1_;
  1.1821 +                } else /* if (current_ == 1) */ {
  1.1822 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1823 +                    return *it2_;
  1.1824 +                }
  1.1825 +            }
  1.1826 +            BOOST_UBLAS_INLINE
  1.1827 +            const_reference operator [] (difference_type n) const {
  1.1828 +                return *(*this + n);
  1.1829 +            }
  1.1830 +
  1.1831 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1832 +            BOOST_UBLAS_INLINE
  1.1833 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1834 +            typename self_type::
  1.1835 +#endif
  1.1836 +            const_iterator1 begin () const {
  1.1837 +                return (*this) ().find1 (1, 0, index2 ());
  1.1838 +            }
  1.1839 +            BOOST_UBLAS_INLINE
  1.1840 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1841 +            typename self_type::
  1.1842 +#endif
  1.1843 +            const_iterator1 end () const {
  1.1844 +                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
  1.1845 +            }
  1.1846 +            BOOST_UBLAS_INLINE
  1.1847 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1848 +            typename self_type::
  1.1849 +#endif
  1.1850 +            const_reverse_iterator1 rbegin () const {
  1.1851 +                return const_reverse_iterator1 (end ());
  1.1852 +            }
  1.1853 +            BOOST_UBLAS_INLINE
  1.1854 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1855 +            typename self_type::
  1.1856 +#endif
  1.1857 +            const_reverse_iterator1 rend () const {
  1.1858 +                return const_reverse_iterator1 (begin ());
  1.1859 +            }
  1.1860 +#endif
  1.1861 +
  1.1862 +            // Indices
  1.1863 +            BOOST_UBLAS_INLINE
  1.1864 +            size_type index1 () const {
  1.1865 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1866 +                if (current_ == 0) {
  1.1867 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1868 +                    return it1_.index2 ();
  1.1869 +                } else /* if (current_ == 1) */ {
  1.1870 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1871 +                    return it2_.index1 ();
  1.1872 +                }
  1.1873 +            }
  1.1874 +            BOOST_UBLAS_INLINE
  1.1875 +            size_type index2 () const {
  1.1876 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1877 +                if (current_ == 0) {
  1.1878 +                    BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
  1.1879 +                    return it1_.index1 ();
  1.1880 +                } else /* if (current_ == 1) */ {
  1.1881 +                    BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
  1.1882 +                    return it2_.index2 ();
  1.1883 +                }
  1.1884 +            }
  1.1885 +
  1.1886 +            // Assignment
  1.1887 +            BOOST_UBLAS_INLINE
  1.1888 +            const_iterator2 &operator = (const const_iterator2 &it) {
  1.1889 +                container_const_reference<self_type>::assign (&it ());
  1.1890 +                begin_ = it.begin_;
  1.1891 +                end_ = it.end_;
  1.1892 +                current_ = it.current_;
  1.1893 +                it1_begin_ = it.it1_begin_;
  1.1894 +                it1_end_ = it.it1_end_;
  1.1895 +                it1_ = it.it1_;
  1.1896 +                it2_begin_ = it.it2_begin_;
  1.1897 +                it2_end_ = it.it2_end_;
  1.1898 +                it2_ = it.it2_;
  1.1899 +                return *this;
  1.1900 +            }
  1.1901 +
  1.1902 +            // Comparison
  1.1903 +            BOOST_UBLAS_INLINE
  1.1904 +            bool operator == (const const_iterator2 &it) const {
  1.1905 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1906 +                BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
  1.1907 +                BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
  1.1908 +                BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
  1.1909 +                return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) ||
  1.1910 +                       (current_ == 1 && it.current_ == 1 && it2_ == it.it2_);
  1.1911 +            }
  1.1912 +            BOOST_UBLAS_INLINE
  1.1913 +            bool operator < (const const_iterator2 &it) const {
  1.1914 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1915 +                return it - *this > 0;
  1.1916 +            }
  1.1917 +
  1.1918 +        private:
  1.1919 +            int begin_;
  1.1920 +            int end_;
  1.1921 +            int current_;
  1.1922 +            const_subiterator1_type it1_begin_;
  1.1923 +            const_subiterator1_type it1_end_;
  1.1924 +            const_subiterator1_type it1_;
  1.1925 +            const_subiterator2_type it2_begin_;
  1.1926 +            const_subiterator2_type it2_end_;
  1.1927 +            const_subiterator2_type it2_;
  1.1928 +        };
  1.1929 +#endif
  1.1930 +
  1.1931 +        BOOST_UBLAS_INLINE
  1.1932 +        const_iterator2 begin2 () const {
  1.1933 +            return find2 (0, 0, 0);
  1.1934 +        }
  1.1935 +        BOOST_UBLAS_INLINE
  1.1936 +        const_iterator2 end2 () const {
  1.1937 +            return find2 (0, 0, size2 ());
  1.1938 +        }
  1.1939 +
  1.1940 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1941 +        class iterator2:
  1.1942 +            public container_reference<symmetric_adaptor>,
  1.1943 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1944 +                                                   typename subiterator2_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
  1.1945 +                                               iterator2, value_type> {
  1.1946 +        public:
  1.1947 +            typedef typename subiterator2_type::value_type value_type;
  1.1948 +            typedef typename subiterator2_type::difference_type difference_type;
  1.1949 +            typedef typename subiterator2_type::reference reference;
  1.1950 +            typedef typename subiterator2_type::pointer pointer;
  1.1951 +
  1.1952 +            typedef iterator1 dual_iterator_type;
  1.1953 +            typedef reverse_iterator1 dual_reverse_iterator_type;
  1.1954 +
  1.1955 +            // Construction and destruction
  1.1956 +            BOOST_UBLAS_INLINE
  1.1957 +            iterator2 ():
  1.1958 +                container_reference<self_type> (), it2_ () {}
  1.1959 +            BOOST_UBLAS_INLINE
  1.1960 +            iterator2 (self_type &m, const subiterator2_type &it2):
  1.1961 +                container_reference<self_type> (m), it2_ (it2) {}
  1.1962 +
  1.1963 +            // Arithmetic
  1.1964 +            BOOST_UBLAS_INLINE
  1.1965 +            iterator2 &operator ++ () {
  1.1966 +                ++ it2_;
  1.1967 +                return *this;
  1.1968 +            }
  1.1969 +            BOOST_UBLAS_INLINE
  1.1970 +            iterator2 &operator -- () {
  1.1971 +                -- it2_;
  1.1972 +                return *this;
  1.1973 +            }
  1.1974 +            BOOST_UBLAS_INLINE
  1.1975 +            iterator2 &operator += (difference_type n) {
  1.1976 +                it2_ += n;
  1.1977 +                return *this;
  1.1978 +            }
  1.1979 +            BOOST_UBLAS_INLINE
  1.1980 +            iterator2 &operator -= (difference_type n) {
  1.1981 +                it2_ -= n;
  1.1982 +                return *this;
  1.1983 +            }
  1.1984 +            BOOST_UBLAS_INLINE
  1.1985 +            difference_type operator - (const iterator2 &it) const {
  1.1986 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1987 +                return it2_ - it.it2_;
  1.1988 +            }
  1.1989 +
  1.1990 +            // Dereference
  1.1991 +            BOOST_UBLAS_INLINE
  1.1992 +            reference operator * () const {
  1.1993 +                return *it2_;
  1.1994 +            }
  1.1995 +            BOOST_UBLAS_INLINE
  1.1996 +            reference operator [] (difference_type n) const {
  1.1997 +                return *(*this + n);
  1.1998 +            }
  1.1999 +
  1.2000 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.2001 +            BOOST_UBLAS_INLINE
  1.2002 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.2003 +            typename self_type::
  1.2004 +#endif
  1.2005 +            iterator1 begin () const {
  1.2006 +                return (*this) ().find1 (1, 0, index2 ());
  1.2007 +            }
  1.2008 +            BOOST_UBLAS_INLINE
  1.2009 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.2010 +            typename self_type::
  1.2011 +#endif
  1.2012 +            iterator1 end () const {
  1.2013 +                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
  1.2014 +            }
  1.2015 +            BOOST_UBLAS_INLINE
  1.2016 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.2017 +            typename self_type::
  1.2018 +#endif
  1.2019 +            reverse_iterator1 rbegin () const {
  1.2020 +                return reverse_iterator1 (end ());
  1.2021 +            }
  1.2022 +            BOOST_UBLAS_INLINE
  1.2023 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.2024 +            typename self_type::
  1.2025 +#endif
  1.2026 +            reverse_iterator1 rend () const {
  1.2027 +                return reverse_iterator1 (begin ());
  1.2028 +            }
  1.2029 +#endif
  1.2030 +
  1.2031 +            // Indices
  1.2032 +            BOOST_UBLAS_INLINE
  1.2033 +            size_type index1 () const {
  1.2034 +                return it2_.index1 ();
  1.2035 +            }
  1.2036 +            BOOST_UBLAS_INLINE
  1.2037 +            size_type index2 () const {
  1.2038 +                return it2_.index2 ();
  1.2039 +            }
  1.2040 +
  1.2041 +            // Assignment
  1.2042 +            BOOST_UBLAS_INLINE
  1.2043 +            iterator2 &operator = (const iterator2 &it) {
  1.2044 +                container_reference<self_type>::assign (&it ());
  1.2045 +                it2_ = it.it2_;
  1.2046 +                return *this;
  1.2047 +            }
  1.2048 +
  1.2049 +            // Comparison
  1.2050 +            BOOST_UBLAS_INLINE
  1.2051 +            bool operator == (const iterator2 &it) const {
  1.2052 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.2053 +                return it2_ == it.it2_;
  1.2054 +            }
  1.2055 +            BOOST_UBLAS_INLINE
  1.2056 +            bool operator < (const iterator2 &it) const {
  1.2057 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.2058 +                return it2_ < it.it2_;
  1.2059 +            }
  1.2060 +
  1.2061 +        private:
  1.2062 +            subiterator2_type it2_;
  1.2063 +
  1.2064 +            friend class const_iterator2;
  1.2065 +        };
  1.2066 +#endif
  1.2067 +
  1.2068 +        BOOST_UBLAS_INLINE
  1.2069 +        iterator2 begin2 () {
  1.2070 +            return find2 (0, 0, 0);
  1.2071 +        }
  1.2072 +        BOOST_UBLAS_INLINE
  1.2073 +        iterator2 end2 () {
  1.2074 +            return find2 (0, 0, size2 ());
  1.2075 +        }
  1.2076 +
  1.2077 +        // Reverse iterators
  1.2078 +
  1.2079 +        BOOST_UBLAS_INLINE
  1.2080 +        const_reverse_iterator1 rbegin1 () const {
  1.2081 +            return const_reverse_iterator1 (end1 ());
  1.2082 +        }
  1.2083 +        BOOST_UBLAS_INLINE
  1.2084 +        const_reverse_iterator1 rend1 () const {
  1.2085 +            return const_reverse_iterator1 (begin1 ());
  1.2086 +        }
  1.2087 +
  1.2088 +        BOOST_UBLAS_INLINE
  1.2089 +        reverse_iterator1 rbegin1 () {
  1.2090 +            return reverse_iterator1 (end1 ());
  1.2091 +        }
  1.2092 +        BOOST_UBLAS_INLINE
  1.2093 +        reverse_iterator1 rend1 () {
  1.2094 +            return reverse_iterator1 (begin1 ());
  1.2095 +        }
  1.2096 +
  1.2097 +        BOOST_UBLAS_INLINE
  1.2098 +        const_reverse_iterator2 rbegin2 () const {
  1.2099 +            return const_reverse_iterator2 (end2 ());
  1.2100 +        }
  1.2101 +        BOOST_UBLAS_INLINE
  1.2102 +        const_reverse_iterator2 rend2 () const {
  1.2103 +            return const_reverse_iterator2 (begin2 ());
  1.2104 +        }
  1.2105 +
  1.2106 +        BOOST_UBLAS_INLINE
  1.2107 +        reverse_iterator2 rbegin2 () {
  1.2108 +            return reverse_iterator2 (end2 ());
  1.2109 +        }
  1.2110 +        BOOST_UBLAS_INLINE
  1.2111 +        reverse_iterator2 rend2 () {
  1.2112 +            return reverse_iterator2 (begin2 ());
  1.2113 +        }
  1.2114 +
  1.2115 +    private:
  1.2116 +        matrix_closure_type data_;
  1.2117 +    };
  1.2118 +
  1.2119 +    // Specialization for temporary_traits
  1.2120 +    template <class M, class TRI>
  1.2121 +    struct vector_temporary_traits< symmetric_adaptor<M, TRI> >
  1.2122 +    : vector_temporary_traits< M > {} ;
  1.2123 +    template <class M, class TRI>
  1.2124 +    struct vector_temporary_traits< const symmetric_adaptor<M, TRI> >
  1.2125 +    : vector_temporary_traits< M > {} ;
  1.2126 +
  1.2127 +    template <class M, class TRI>
  1.2128 +    struct matrix_temporary_traits< symmetric_adaptor<M, TRI> >
  1.2129 +    : matrix_temporary_traits< M > {} ;
  1.2130 +    template <class M, class TRI>
  1.2131 +    struct matrix_temporary_traits< const symmetric_adaptor<M, TRI> >
  1.2132 +    : matrix_temporary_traits< M > {} ;
  1.2133 +
  1.2134 +}}}
  1.2135 +
  1.2136 +#endif