os/ossrv/ossrv_pub/boost_apis/boost/numeric/ublas/banded.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/banded.hpp	Fri Jun 15 03:10:57 2012 +0200
     1.3 @@ -0,0 +1,2025 @@
     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_BANDED_
    1.21 +#define _BOOST_UBLAS_BANDED_
    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 +
    1.28 +namespace boost { namespace numeric { namespace ublas {
    1.29 +
    1.30 +    // Array based banded matrix class
    1.31 +    template<class T, class L, class A>
    1.32 +    class banded_matrix:
    1.33 +        public matrix_container<banded_matrix<T, L, A> > {
    1.34 +
    1.35 +        typedef T *pointer;
    1.36 +        typedef L layout_type;
    1.37 +        typedef banded_matrix<T, L, A> self_type;
    1.38 +    public:
    1.39 +#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
    1.40 +        using matrix_container<self_type>::operator ();
    1.41 +#endif
    1.42 +        typedef typename A::size_type size_type;
    1.43 +        typedef typename A::difference_type difference_type;
    1.44 +        typedef T value_type;
    1.45 +        typedef const T &const_reference;
    1.46 +        typedef T &reference;
    1.47 +        typedef A array_type;
    1.48 +        typedef const matrix_reference<const self_type> const_closure_type;
    1.49 +        typedef matrix_reference<self_type> closure_type;
    1.50 +        typedef vector<T, A> vector_temporary_type;
    1.51 +        typedef matrix<T, L, A> matrix_temporary_type;  // general sub-matrix
    1.52 +        typedef packed_tag storage_category;
    1.53 +        typedef typename L::orientation_category orientation_category;
    1.54 +
    1.55 +        // Construction and destruction
    1.56 +        BOOST_UBLAS_INLINE
    1.57 +        banded_matrix ():
    1.58 +            matrix_container<self_type> (),
    1.59 +            size1_ (0), size2_ (0),
    1.60 +            lower_ (0), upper_ (0), data_ (0) {}
    1.61 +        BOOST_UBLAS_INLINE
    1.62 +        banded_matrix (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0):
    1.63 +            matrix_container<self_type> (),
    1.64 +            size1_ (size1), size2_ (size2),
    1.65 +            lower_ (lower), upper_ (upper), data_ ((std::max) (size1, size2) * (lower + 1 + upper)) {
    1.66 +        }
    1.67 +        BOOST_UBLAS_INLINE
    1.68 +        banded_matrix (size_type size1, size_type size2, size_type lower, size_type upper, const array_type &data):
    1.69 +            matrix_container<self_type> (),
    1.70 +            size1_ (size1), size2_ (size2),
    1.71 +            lower_ (lower), upper_ (upper), data_ (data) {}
    1.72 +        BOOST_UBLAS_INLINE
    1.73 +        banded_matrix (const banded_matrix &m):
    1.74 +            matrix_container<self_type> (),
    1.75 +            size1_ (m.size1_), size2_ (m.size2_),
    1.76 +            lower_ (m.lower_), upper_ (m.upper_), data_ (m.data_) {}
    1.77 +        template<class AE>
    1.78 +        BOOST_UBLAS_INLINE
    1.79 +        banded_matrix (const matrix_expression<AE> &ae, size_type lower = 0, size_type upper = 0):
    1.80 +            matrix_container<self_type> (),
    1.81 +            size1_ (ae ().size1 ()), size2_ (ae ().size2 ()),
    1.82 +            lower_ (lower), upper_ (upper),
    1.83 +            data_ ((std::max) (size1_, size2_) * (lower_ + 1 + upper_)) {
    1.84 +            matrix_assign<scalar_assign> (*this, ae);
    1.85 +        }
    1.86 +
    1.87 +        // Accessors
    1.88 +        BOOST_UBLAS_INLINE
    1.89 +        size_type size1 () const {
    1.90 +            return size1_;
    1.91 +        }
    1.92 +        BOOST_UBLAS_INLINE
    1.93 +        size_type size2 () const {
    1.94 +            return size2_;
    1.95 +        }
    1.96 +        BOOST_UBLAS_INLINE
    1.97 +        size_type lower () const {
    1.98 +            return lower_;
    1.99 +        }
   1.100 +        BOOST_UBLAS_INLINE
   1.101 +        size_type upper () const {
   1.102 +            return upper_;
   1.103 +        }
   1.104 +
   1.105 +        // Storage accessors
   1.106 +        BOOST_UBLAS_INLINE
   1.107 +        const array_type &data () const {
   1.108 +            return data_;
   1.109 +        }
   1.110 +        BOOST_UBLAS_INLINE
   1.111 +        array_type &data () {
   1.112 +            return data_;
   1.113 +        }
   1.114 +
   1.115 +        // Resizing
   1.116 +        BOOST_UBLAS_INLINE
   1.117 +        void resize (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0, bool preserve = true) {
   1.118 +            if (preserve) {
   1.119 +                self_type temporary (size1, size2, lower, upper);
   1.120 +                detail::matrix_resize_preserve<layout_type> (*this, temporary);
   1.121 +            }
   1.122 +            else {
   1.123 +                data ().resize ((std::max) (size1, size2) * (lower + 1 + upper));
   1.124 +                size1_ = size1;
   1.125 +                size2_ = size2;
   1.126 +                lower_ = lower;
   1.127 +                upper_ = upper;
   1.128 +            }
   1.129 +        }
   1.130 +
   1.131 +        BOOST_UBLAS_INLINE
   1.132 +        void resize_packed_preserve (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0) {
   1.133 +            size1_ = size1;
   1.134 +            size2_ = size2;
   1.135 +            lower_ = lower;
   1.136 +            upper_ = upper;
   1.137 +            data ().resize ((std::max) (size1, size2) * (lower + 1 + upper), value_type ());
   1.138 +        }
   1.139 +
   1.140 +        // Element access
   1.141 +        BOOST_UBLAS_INLINE
   1.142 +        const_reference operator () (size_type i, size_type j) const {
   1.143 +            BOOST_UBLAS_CHECK (i < size1_, bad_index ());
   1.144 +            BOOST_UBLAS_CHECK (j < size2_, bad_index ());
   1.145 +#ifdef BOOST_UBLAS_OWN_BANDED
   1.146 +            const size_type k = (std::max) (i, j);
   1.147 +            const size_type l = lower_ + j - i;
   1.148 +            if (k < (std::max) (size1_, size2_) &&
   1.149 +                l < lower_ + 1 + upper_)
   1.150 +                return data () [layout_type::element (k, (std::max) (size1_, size2_),
   1.151 +                                                       l, lower_ + 1 + upper_)];
   1.152 +#else
   1.153 +            const size_type k = j;
   1.154 +            const size_type l = upper_ + i - j;
   1.155 +            if (k < size2_ &&
   1.156 +                l < lower_ + 1 + upper_)
   1.157 +                return data () [layout_type::element (k, size2_,
   1.158 +                                                       l, lower_ + 1 + upper_)];
   1.159 +#endif
   1.160 +            return zero_;
   1.161 +        }
   1.162 +        BOOST_UBLAS_INLINE
   1.163 +        reference at_element (size_type i, size_type j) {
   1.164 +            BOOST_UBLAS_CHECK (i < size1_, bad_index ());
   1.165 +            BOOST_UBLAS_CHECK (j < size2_, bad_index ());
   1.166 +#ifdef BOOST_UBLAS_OWN_BANDED
   1.167 +            const size_type k = (std::max) (i, j);
   1.168 +            const size_type l = lower_ + j - i;
   1.169 +            return data () [layout_type::element (k, (std::max) (size1_, size2_),
   1.170 +                                                   l, lower_ + 1 + upper_)];
   1.171 +#else
   1.172 +            const size_type k = j;
   1.173 +            const size_type l = upper_ + i - j;
   1.174 +            return data () [layout_type::element (k, size2_,
   1.175 +                                                   l, lower_ + 1 + upper_)];
   1.176 +#endif
   1.177 +        }
   1.178 +        BOOST_UBLAS_INLINE
   1.179 +        reference operator () (size_type i, size_type j) {
   1.180 +            BOOST_UBLAS_CHECK (i < size1_, bad_index ());
   1.181 +            BOOST_UBLAS_CHECK (j < size2_, bad_index ());
   1.182 +#ifdef BOOST_UBLAS_OWN_BANDED
   1.183 +            const size_type k = (std::max) (i, j);
   1.184 +            const size_type l = lower_ + j - i;
   1.185 +            if (k < (std::max) (size1_, size2_) &&
   1.186 +                l < lower_ + 1 + upper_)
   1.187 +                return data () [layout_type::element (k, (std::max) (size1_, size2_),
   1.188 +                                                       l, lower_ + 1 + upper_)];
   1.189 +#else
   1.190 +            const size_type k = j;
   1.191 +            const size_type l = upper_ + i - j;
   1.192 +            if (k < size2_ &&
   1.193 +                l < lower_ + 1 + upper_)
   1.194 +                return data () [layout_type::element (k, size2_,
   1.195 +                                                       l, lower_ + 1 + upper_)];
   1.196 +#endif
   1.197 +            bad_index ().raise ();
   1.198 +                // arbitary return value
   1.199 +            return const_cast<reference>(zero_);
   1.200 +        }
   1.201 +
   1.202 +        // Element assignment
   1.203 +        BOOST_UBLAS_INLINE
   1.204 +        reference insert_element (size_type i, size_type j, const_reference t) {
   1.205 +            return (operator () (i, j) = t);
   1.206 +        }
   1.207 +        BOOST_UBLAS_INLINE
   1.208 +        void erase_element (size_type i, size_type j) {
   1.209 +            operator () (i, j) = value_type/*zero*/();
   1.210 +        }
   1.211 +
   1.212 +        // Zeroing
   1.213 +        BOOST_UBLAS_INLINE
   1.214 +        void clear () {
   1.215 +            std::fill (data ().begin (), data ().end (), value_type/*zero*/());
   1.216 +        }
   1.217 +
   1.218 +        // Assignment
   1.219 +        BOOST_UBLAS_INLINE
   1.220 +        banded_matrix &operator = (const banded_matrix &m) {
   1.221 +            size1_ = m.size1_;
   1.222 +            size2_ = m.size2_;
   1.223 +            lower_ = m.lower_;
   1.224 +            upper_ = m.upper_;
   1.225 +            data () = m.data ();
   1.226 +            return *this;
   1.227 +        }
   1.228 +        BOOST_UBLAS_INLINE
   1.229 +        banded_matrix &assign_temporary (banded_matrix &m) {
   1.230 +            swap (m);
   1.231 +            return *this;
   1.232 +        }
   1.233 +        template<class AE>
   1.234 +        BOOST_UBLAS_INLINE
   1.235 +        banded_matrix &operator = (const matrix_expression<AE> &ae) {
   1.236 +            self_type temporary (ae, lower_, upper_);
   1.237 +            return assign_temporary (temporary);
   1.238 +        }
   1.239 +        template<class AE>
   1.240 +        BOOST_UBLAS_INLINE
   1.241 +        banded_matrix &assign (const matrix_expression<AE> &ae) {
   1.242 +            matrix_assign<scalar_assign> (*this, ae);
   1.243 +            return *this;
   1.244 +        }
   1.245 +        template<class AE>
   1.246 +        BOOST_UBLAS_INLINE
   1.247 +        banded_matrix& operator += (const matrix_expression<AE> &ae) {
   1.248 +            self_type temporary (*this + ae, lower_, upper_);
   1.249 +            return assign_temporary (temporary);
   1.250 +        }
   1.251 +        template<class AE>
   1.252 +        BOOST_UBLAS_INLINE
   1.253 +        banded_matrix &plus_assign (const matrix_expression<AE> &ae) {
   1.254 +            matrix_assign<scalar_plus_assign> (*this, ae);
   1.255 +            return *this;
   1.256 +        }
   1.257 +        template<class AE>
   1.258 +        BOOST_UBLAS_INLINE
   1.259 +        banded_matrix& operator -= (const matrix_expression<AE> &ae) {
   1.260 +            self_type temporary (*this - ae, lower_, upper_);
   1.261 +            return assign_temporary (temporary);
   1.262 +        }
   1.263 +        template<class AE>
   1.264 +        BOOST_UBLAS_INLINE
   1.265 +        banded_matrix &minus_assign (const matrix_expression<AE> &ae) {
   1.266 +            matrix_assign<scalar_minus_assign> (*this, ae);
   1.267 +            return *this;
   1.268 +        }
   1.269 +        template<class AT>
   1.270 +        BOOST_UBLAS_INLINE
   1.271 +        banded_matrix& operator *= (const AT &at) {
   1.272 +            matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
   1.273 +            return *this;
   1.274 +        }
   1.275 +        template<class AT>
   1.276 +        BOOST_UBLAS_INLINE
   1.277 +        banded_matrix& operator /= (const AT &at) {
   1.278 +            matrix_assign_scalar<scalar_divides_assign> (*this, at);
   1.279 +            return *this;
   1.280 +        }
   1.281 +
   1.282 +        // Swapping
   1.283 +        BOOST_UBLAS_INLINE
   1.284 +        void swap (banded_matrix &m) {
   1.285 +            if (this != &m) {
   1.286 +                std::swap (size1_, m.size1_);
   1.287 +                std::swap (size2_, m.size2_);
   1.288 +                std::swap (lower_, m.lower_);
   1.289 +                std::swap (upper_, m.upper_);
   1.290 +                data ().swap (m.data ());
   1.291 +            }
   1.292 +        }
   1.293 +        BOOST_UBLAS_INLINE
   1.294 +        friend void swap (banded_matrix &m1, banded_matrix &m2) {
   1.295 +            m1.swap (m2);
   1.296 +        }
   1.297 +
   1.298 +        // Iterator types
   1.299 +#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.300 +        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
   1.301 +        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
   1.302 +        typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
   1.303 +        typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
   1.304 +#else
   1.305 +        class const_iterator1;
   1.306 +        class iterator1;
   1.307 +        class const_iterator2;
   1.308 +        class iterator2;
   1.309 +#endif
   1.310 +        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
   1.311 +        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
   1.312 +        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
   1.313 +        typedef reverse_iterator_base2<iterator2> reverse_iterator2;
   1.314 +
   1.315 +        // Element lookup
   1.316 +        BOOST_UBLAS_INLINE
   1.317 +        const_iterator1 find1 (int rank, size_type i, size_type j) const {
   1.318 +            if (rank == 1) {
   1.319 +                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
   1.320 +                i = (std::max) (i, lower_i);
   1.321 +                size_type upper_i = (std::min) (j + 1 + lower_, size1_);
   1.322 +                i = (std::min) (i, upper_i);
   1.323 +            }
   1.324 +            return const_iterator1 (*this, i, j);
   1.325 +        }
   1.326 +        BOOST_UBLAS_INLINE
   1.327 +        iterator1 find1 (int rank, size_type i, size_type j) {
   1.328 +            if (rank == 1) {
   1.329 +                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
   1.330 +                i = (std::max) (i, lower_i);
   1.331 +                size_type upper_i = (std::min) (j + 1 + lower_, size1_);
   1.332 +                i = (std::min) (i, upper_i);
   1.333 +            }
   1.334 +            return iterator1 (*this, i, j);
   1.335 +        }
   1.336 +        BOOST_UBLAS_INLINE
   1.337 +        const_iterator2 find2 (int rank, size_type i, size_type j) const {
   1.338 +            if (rank == 1) {
   1.339 +                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
   1.340 +                j = (std::max) (j, lower_j);
   1.341 +                size_type upper_j = (std::min) (i + 1 + upper_, size2_);
   1.342 +                j = (std::min) (j, upper_j);
   1.343 +            }
   1.344 +            return const_iterator2 (*this, i, j);
   1.345 +        }
   1.346 +        BOOST_UBLAS_INLINE
   1.347 +        iterator2 find2 (int rank, size_type i, size_type j) {
   1.348 +            if (rank == 1) {
   1.349 +                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
   1.350 +                j = (std::max) (j, lower_j);
   1.351 +                size_type upper_j = (std::min) (i + 1 + upper_, size2_);
   1.352 +                j = (std::min) (j, upper_j);
   1.353 +            }
   1.354 +            return iterator2 (*this, i, j);
   1.355 +        }
   1.356 +
   1.357 +        // Iterators simply are indices.
   1.358 +
   1.359 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.360 +        class const_iterator1:
   1.361 +            public container_const_reference<banded_matrix>,
   1.362 +            public random_access_iterator_base<packed_random_access_iterator_tag,
   1.363 +                                               const_iterator1, value_type> {
   1.364 +        public:
   1.365 +            typedef typename banded_matrix::value_type value_type;
   1.366 +            typedef typename banded_matrix::difference_type difference_type;
   1.367 +            typedef typename banded_matrix::const_reference reference;
   1.368 +            typedef const typename banded_matrix::pointer pointer;
   1.369 +
   1.370 +            typedef const_iterator2 dual_iterator_type;
   1.371 +            typedef const_reverse_iterator2 dual_reverse_iterator_type;
   1.372 +
   1.373 +            // Construction and destruction
   1.374 +            BOOST_UBLAS_INLINE
   1.375 +            const_iterator1 ():
   1.376 +                container_const_reference<self_type> (), it1_ (), it2_ () {}
   1.377 +            BOOST_UBLAS_INLINE
   1.378 +            const_iterator1 (const self_type &m, size_type it1, size_type it2):
   1.379 +                container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.380 +            BOOST_UBLAS_INLINE
   1.381 +            const_iterator1 (const iterator1 &it):
   1.382 +                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
   1.383 +
   1.384 +            // Arithmetic
   1.385 +            BOOST_UBLAS_INLINE
   1.386 +            const_iterator1 &operator ++ () {
   1.387 +                ++ it1_;
   1.388 +                return *this;
   1.389 +            }
   1.390 +            BOOST_UBLAS_INLINE
   1.391 +            const_iterator1 &operator -- () {
   1.392 +                -- it1_;
   1.393 +                return *this;
   1.394 +            }
   1.395 +            BOOST_UBLAS_INLINE
   1.396 +            const_iterator1 &operator += (difference_type n) {
   1.397 +                it1_ += n;
   1.398 +                return *this;
   1.399 +            }
   1.400 +            BOOST_UBLAS_INLINE
   1.401 +            const_iterator1 &operator -= (difference_type n) {
   1.402 +                it1_ -= n;
   1.403 +                return *this;
   1.404 +            }
   1.405 +            BOOST_UBLAS_INLINE
   1.406 +            difference_type operator - (const const_iterator1 &it) const {
   1.407 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.408 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.409 +                return it1_ - it.it1_;
   1.410 +            }
   1.411 +
   1.412 +            // Dereference
   1.413 +            BOOST_UBLAS_INLINE
   1.414 +            const_reference operator * () const {
   1.415 +                return (*this) () (it1_, it2_);
   1.416 +            }
   1.417 +            BOOST_UBLAS_INLINE
   1.418 +            const_reference operator [] (difference_type n) const {
   1.419 +                return *(*this + n);
   1.420 +            }
   1.421 +
   1.422 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.423 +            BOOST_UBLAS_INLINE
   1.424 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.425 +            typename self_type::
   1.426 +#endif
   1.427 +            const_iterator2 begin () const {
   1.428 +                return (*this) ().find2 (1, it1_, 0);
   1.429 +            }
   1.430 +            BOOST_UBLAS_INLINE
   1.431 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.432 +            typename self_type::
   1.433 +#endif
   1.434 +            const_iterator2 end () const {
   1.435 +                return (*this) ().find2 (1, it1_, (*this) ().size2 ());
   1.436 +            }
   1.437 +            BOOST_UBLAS_INLINE
   1.438 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.439 +            typename self_type::
   1.440 +#endif
   1.441 +            const_reverse_iterator2 rbegin () const {
   1.442 +                return const_reverse_iterator2 (end ());
   1.443 +            }
   1.444 +            BOOST_UBLAS_INLINE
   1.445 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.446 +            typename self_type::
   1.447 +#endif
   1.448 +            const_reverse_iterator2 rend () const {
   1.449 +                return const_reverse_iterator2 (begin ());
   1.450 +            }
   1.451 +#endif
   1.452 +
   1.453 +            // Indices
   1.454 +            BOOST_UBLAS_INLINE
   1.455 +            size_type index1 () const {
   1.456 +                return it1_;
   1.457 +            }
   1.458 +            BOOST_UBLAS_INLINE
   1.459 +            size_type index2 () const {
   1.460 +                return it2_;
   1.461 +            }
   1.462 +
   1.463 +            // Assignment
   1.464 +            BOOST_UBLAS_INLINE
   1.465 +            const_iterator1 &operator = (const const_iterator1 &it) {
   1.466 +                container_const_reference<self_type>::assign (&it ());
   1.467 +                it1_ = it.it1_;
   1.468 +                it2_ = it.it2_;
   1.469 +                return *this;
   1.470 +            }
   1.471 +
   1.472 +            // Comparison
   1.473 +            BOOST_UBLAS_INLINE
   1.474 +            bool operator == (const const_iterator1 &it) const {
   1.475 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.476 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.477 +                return it1_ == it.it1_;
   1.478 +            }
   1.479 +            BOOST_UBLAS_INLINE
   1.480 +            bool operator < (const const_iterator1 &it) const {
   1.481 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.482 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.483 +                return it1_ < it.it1_;
   1.484 +            }
   1.485 +
   1.486 +        private:
   1.487 +            size_type it1_;
   1.488 +            size_type it2_;
   1.489 +        };
   1.490 +#endif
   1.491 +
   1.492 +        BOOST_UBLAS_INLINE
   1.493 +        const_iterator1 begin1 () const {
   1.494 +            return find1 (0, 0, 0);
   1.495 +        }
   1.496 +        BOOST_UBLAS_INLINE
   1.497 +        const_iterator1 end1 () const {
   1.498 +            return find1 (0, size1_, 0);
   1.499 +        }
   1.500 +
   1.501 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.502 +        class iterator1:
   1.503 +            public container_reference<banded_matrix>,
   1.504 +            public random_access_iterator_base<packed_random_access_iterator_tag,
   1.505 +                                               iterator1, value_type> {
   1.506 +        public:
   1.507 +            typedef typename banded_matrix::value_type value_type;
   1.508 +            typedef typename banded_matrix::difference_type difference_type;
   1.509 +            typedef typename banded_matrix::reference reference;
   1.510 +            typedef typename banded_matrix::pointer pointer;
   1.511 +
   1.512 +            typedef iterator2 dual_iterator_type;
   1.513 +            typedef reverse_iterator2 dual_reverse_iterator_type;
   1.514 +
   1.515 +            // Construction and destruction
   1.516 +            BOOST_UBLAS_INLINE
   1.517 +            iterator1 ():
   1.518 +                container_reference<self_type> (), it1_ (), it2_ () {}
   1.519 +            BOOST_UBLAS_INLINE
   1.520 +            iterator1 (self_type &m, size_type it1, size_type it2):
   1.521 +                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.522 +
   1.523 +            // Arithmetic
   1.524 +            BOOST_UBLAS_INLINE
   1.525 +            iterator1 &operator ++ () {
   1.526 +                ++ it1_;
   1.527 +                return *this;
   1.528 +            }
   1.529 +            BOOST_UBLAS_INLINE
   1.530 +            iterator1 &operator -- () {
   1.531 +                -- it1_;
   1.532 +                return *this;
   1.533 +            }
   1.534 +            BOOST_UBLAS_INLINE
   1.535 +            iterator1 &operator += (difference_type n) {
   1.536 +                it1_ += n;
   1.537 +                return *this;
   1.538 +            }
   1.539 +            BOOST_UBLAS_INLINE
   1.540 +            iterator1 &operator -= (difference_type n) {
   1.541 +                it1_ -= n;
   1.542 +                return *this;
   1.543 +            }
   1.544 +            BOOST_UBLAS_INLINE
   1.545 +            difference_type operator - (const iterator1 &it) const {
   1.546 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.547 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.548 +                return it1_ - it.it1_;
   1.549 +            }
   1.550 +
   1.551 +            // Dereference
   1.552 +            BOOST_UBLAS_INLINE
   1.553 +            reference operator * () const {
   1.554 +                return (*this) ().at_element (it1_, it2_);
   1.555 +            }
   1.556 +            BOOST_UBLAS_INLINE
   1.557 +            reference operator [] (difference_type n) const {
   1.558 +                return *(*this + n);
   1.559 +            }
   1.560 +
   1.561 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.562 +            BOOST_UBLAS_INLINE
   1.563 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.564 +            typename self_type::
   1.565 +#endif
   1.566 +            iterator2 begin () const {
   1.567 +                return (*this) ().find2 (1, it1_, 0);
   1.568 +            }
   1.569 +            BOOST_UBLAS_INLINE
   1.570 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.571 +            typename self_type::
   1.572 +#endif
   1.573 +            iterator2 end () const {
   1.574 +                return (*this) ().find2 (1, it1_, (*this) ().size2 ());
   1.575 +            }
   1.576 +            BOOST_UBLAS_INLINE
   1.577 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.578 +            typename self_type::
   1.579 +#endif
   1.580 +            reverse_iterator2 rbegin () const {
   1.581 +                return reverse_iterator2 (end ());
   1.582 +            }
   1.583 +            BOOST_UBLAS_INLINE
   1.584 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.585 +            typename self_type::
   1.586 +#endif
   1.587 +            reverse_iterator2 rend () const {
   1.588 +                return reverse_iterator2 (begin ());
   1.589 +            }
   1.590 +#endif
   1.591 +
   1.592 +            // Indices
   1.593 +            BOOST_UBLAS_INLINE
   1.594 +            size_type index1 () const {
   1.595 +                return it1_;
   1.596 +            }
   1.597 +            BOOST_UBLAS_INLINE
   1.598 +            size_type index2 () const {
   1.599 +                return it2_;
   1.600 +            }
   1.601 +
   1.602 +            // Assignment
   1.603 +            BOOST_UBLAS_INLINE
   1.604 +            iterator1 &operator = (const iterator1 &it) {
   1.605 +                container_reference<self_type>::assign (&it ());
   1.606 +                it1_ = it.it1_;
   1.607 +                it2_ = it.it2_;
   1.608 +                return *this;
   1.609 +            }
   1.610 +
   1.611 +            // Comparison
   1.612 +            BOOST_UBLAS_INLINE
   1.613 +            bool operator == (const iterator1 &it) const {
   1.614 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.615 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.616 +                return it1_ == it.it1_;
   1.617 +            }
   1.618 +            BOOST_UBLAS_INLINE
   1.619 +            bool operator < (const iterator1 &it) const {
   1.620 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.621 +                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
   1.622 +                return it1_ < it.it1_;
   1.623 +            }
   1.624 +
   1.625 +        private:
   1.626 +            size_type it1_;
   1.627 +            size_type it2_;
   1.628 +
   1.629 +            friend class const_iterator1;
   1.630 +        };
   1.631 +#endif
   1.632 +
   1.633 +        BOOST_UBLAS_INLINE
   1.634 +        iterator1 begin1 () {
   1.635 +            return find1 (0, 0, 0);
   1.636 +        }
   1.637 +        BOOST_UBLAS_INLINE
   1.638 +        iterator1 end1 () {
   1.639 +            return find1 (0, size1_, 0);
   1.640 +        }
   1.641 +
   1.642 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.643 +        class const_iterator2:
   1.644 +            public container_const_reference<banded_matrix>,
   1.645 +            public random_access_iterator_base<packed_random_access_iterator_tag,
   1.646 +                                               const_iterator2, value_type> {
   1.647 +        public:
   1.648 +            typedef typename banded_matrix::value_type value_type;
   1.649 +            typedef typename banded_matrix::difference_type difference_type;
   1.650 +            typedef typename banded_matrix::const_reference reference;
   1.651 +            typedef const typename banded_matrix::pointer pointer;
   1.652 +
   1.653 +            typedef const_iterator1 dual_iterator_type;
   1.654 +            typedef const_reverse_iterator1 dual_reverse_iterator_type;
   1.655 +
   1.656 +            // Construction and destruction
   1.657 +            BOOST_UBLAS_INLINE
   1.658 +            const_iterator2 ():
   1.659 +                container_const_reference<self_type> (), it1_ (), it2_ () {}
   1.660 +            BOOST_UBLAS_INLINE
   1.661 +            const_iterator2 (const self_type &m, size_type it1, size_type it2):
   1.662 +                container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.663 +            BOOST_UBLAS_INLINE
   1.664 +            const_iterator2 (const iterator2 &it):
   1.665 +                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
   1.666 +
   1.667 +            // Arithmetic
   1.668 +            BOOST_UBLAS_INLINE
   1.669 +            const_iterator2 &operator ++ () {
   1.670 +                ++ it2_;
   1.671 +                return *this;
   1.672 +            }
   1.673 +            BOOST_UBLAS_INLINE
   1.674 +            const_iterator2 &operator -- () {
   1.675 +                -- it2_;
   1.676 +                return *this;
   1.677 +            }
   1.678 +            BOOST_UBLAS_INLINE
   1.679 +            const_iterator2 &operator += (difference_type n) {
   1.680 +                it2_ += n;
   1.681 +                return *this;
   1.682 +            }
   1.683 +            BOOST_UBLAS_INLINE
   1.684 +            const_iterator2 &operator -= (difference_type n) {
   1.685 +                it2_ -= n;
   1.686 +                return *this;
   1.687 +            }
   1.688 +            BOOST_UBLAS_INLINE
   1.689 +            difference_type operator - (const const_iterator2 &it) const {
   1.690 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.691 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.692 +                return it2_ - it.it2_;
   1.693 +            }
   1.694 +
   1.695 +            // Dereference
   1.696 +            BOOST_UBLAS_INLINE
   1.697 +            const_reference operator * () const {
   1.698 +                return (*this) () (it1_, it2_);
   1.699 +            }
   1.700 +            BOOST_UBLAS_INLINE
   1.701 +            const_reference operator [] (difference_type n) const {
   1.702 +                return *(*this + n);
   1.703 +            }
   1.704 +
   1.705 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.706 +            BOOST_UBLAS_INLINE
   1.707 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.708 +            typename self_type::
   1.709 +#endif
   1.710 +            const_iterator1 begin () const {
   1.711 +                return (*this) ().find1 (1, 0, it2_);
   1.712 +            }
   1.713 +            BOOST_UBLAS_INLINE
   1.714 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.715 +            typename self_type::
   1.716 +#endif
   1.717 +            const_iterator1 end () const {
   1.718 +                return (*this) ().find1 (1, (*this) ().size1 (), it2_);
   1.719 +            }
   1.720 +            BOOST_UBLAS_INLINE
   1.721 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.722 +            typename self_type::
   1.723 +#endif
   1.724 +            const_reverse_iterator1 rbegin () const {
   1.725 +                return const_reverse_iterator1 (end ());
   1.726 +            }
   1.727 +            BOOST_UBLAS_INLINE
   1.728 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.729 +            typename self_type::
   1.730 +#endif
   1.731 +            const_reverse_iterator1 rend () const {
   1.732 +                return const_reverse_iterator1 (begin ());
   1.733 +            }
   1.734 +#endif
   1.735 +
   1.736 +            // Indices
   1.737 +            BOOST_UBLAS_INLINE
   1.738 +            size_type index1 () const {
   1.739 +                return it1_;
   1.740 +            }
   1.741 +            BOOST_UBLAS_INLINE
   1.742 +            size_type index2 () const {
   1.743 +                return it2_;
   1.744 +            }
   1.745 +
   1.746 +            // Assignment
   1.747 +            BOOST_UBLAS_INLINE
   1.748 +            const_iterator2 &operator = (const const_iterator2 &it) {
   1.749 +                container_const_reference<self_type>::assign (&it ());
   1.750 +                it1_ = it.it1_;
   1.751 +                it2_ = it.it2_;
   1.752 +                return *this;
   1.753 +            }
   1.754 +
   1.755 +            // Comparison
   1.756 +            BOOST_UBLAS_INLINE
   1.757 +            bool operator == (const const_iterator2 &it) const {
   1.758 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.759 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.760 +                return it2_ == it.it2_;
   1.761 +            }
   1.762 +            BOOST_UBLAS_INLINE
   1.763 +            bool operator < (const const_iterator2 &it) const {
   1.764 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.765 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.766 +                return it2_ < it.it2_;
   1.767 +            }
   1.768 +
   1.769 +        private:
   1.770 +            size_type it1_;
   1.771 +            size_type it2_;
   1.772 +        };
   1.773 +#endif
   1.774 +
   1.775 +        BOOST_UBLAS_INLINE
   1.776 +        const_iterator2 begin2 () const {
   1.777 +            return find2 (0, 0, 0);
   1.778 +        }
   1.779 +        BOOST_UBLAS_INLINE
   1.780 +        const_iterator2 end2 () const {
   1.781 +            return find2 (0, 0, size2_);
   1.782 +        }
   1.783 +
   1.784 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
   1.785 +        class iterator2:
   1.786 +            public container_reference<banded_matrix>,
   1.787 +            public random_access_iterator_base<packed_random_access_iterator_tag,
   1.788 +                                               iterator2, value_type> {
   1.789 +        public:
   1.790 +            typedef typename banded_matrix::value_type value_type;
   1.791 +            typedef typename banded_matrix::difference_type difference_type;
   1.792 +            typedef typename banded_matrix::reference reference;
   1.793 +            typedef typename banded_matrix::pointer pointer;
   1.794 +
   1.795 +            typedef iterator1 dual_iterator_type;
   1.796 +            typedef reverse_iterator1 dual_reverse_iterator_type;
   1.797 +
   1.798 +            // Construction and destruction
   1.799 +            BOOST_UBLAS_INLINE
   1.800 +            iterator2 ():
   1.801 +                container_reference<self_type> (), it1_ (), it2_ () {}
   1.802 +            BOOST_UBLAS_INLINE
   1.803 +            iterator2 (self_type &m, size_type it1, size_type it2):
   1.804 +                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
   1.805 +
   1.806 +            // Arithmetic
   1.807 +            BOOST_UBLAS_INLINE
   1.808 +            iterator2 &operator ++ () {
   1.809 +                ++ it2_;
   1.810 +                return *this;
   1.811 +            }
   1.812 +            BOOST_UBLAS_INLINE
   1.813 +            iterator2 &operator -- () {
   1.814 +                -- it2_;
   1.815 +                return *this;
   1.816 +            }
   1.817 +            BOOST_UBLAS_INLINE
   1.818 +            iterator2 &operator += (difference_type n) {
   1.819 +                it2_ += n;
   1.820 +                return *this;
   1.821 +            }
   1.822 +            BOOST_UBLAS_INLINE
   1.823 +            iterator2 &operator -= (difference_type n) {
   1.824 +                it2_ -= n;
   1.825 +                return *this;
   1.826 +            }
   1.827 +            BOOST_UBLAS_INLINE
   1.828 +            difference_type operator - (const iterator2 &it) const {
   1.829 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.830 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.831 +                return it2_ - it.it2_;
   1.832 +            }
   1.833 +
   1.834 +            // Dereference
   1.835 +            BOOST_UBLAS_INLINE
   1.836 +            reference operator * () const {
   1.837 +                return (*this) ().at_element (it1_, it2_);
   1.838 +            }
   1.839 +            BOOST_UBLAS_INLINE
   1.840 +            reference operator [] (difference_type n) const {
   1.841 +                return *(*this + n);
   1.842 +            }
   1.843 +
   1.844 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
   1.845 +            BOOST_UBLAS_INLINE
   1.846 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.847 +            typename self_type::
   1.848 +#endif
   1.849 +            iterator1 begin () const {
   1.850 +                return (*this) ().find1 (1, 0, it2_);
   1.851 +            }
   1.852 +            BOOST_UBLAS_INLINE
   1.853 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.854 +            typename self_type::
   1.855 +#endif
   1.856 +            iterator1 end () const {
   1.857 +                return (*this) ().find1 (1, (*this) ().size1 (), it2_);
   1.858 +            }
   1.859 +            BOOST_UBLAS_INLINE
   1.860 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.861 +            typename self_type::
   1.862 +#endif
   1.863 +            reverse_iterator1 rbegin () const {
   1.864 +                return reverse_iterator1 (end ());
   1.865 +            }
   1.866 +            BOOST_UBLAS_INLINE
   1.867 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
   1.868 +            typename self_type::
   1.869 +#endif
   1.870 +            reverse_iterator1 rend () const {
   1.871 +                return reverse_iterator1 (begin ());
   1.872 +            }
   1.873 +#endif
   1.874 +
   1.875 +            // Indices
   1.876 +            BOOST_UBLAS_INLINE
   1.877 +            size_type index1 () const {
   1.878 +                return it1_;
   1.879 +            }
   1.880 +            BOOST_UBLAS_INLINE
   1.881 +            size_type index2 () const {
   1.882 +                return it2_;
   1.883 +            }
   1.884 +
   1.885 +            // Assignment
   1.886 +            BOOST_UBLAS_INLINE
   1.887 +            iterator2 &operator = (const iterator2 &it) {
   1.888 +                container_reference<self_type>::assign (&it ());
   1.889 +                it1_ = it.it1_;
   1.890 +                it2_ = it.it2_;
   1.891 +                return *this;
   1.892 +            }
   1.893 +
   1.894 +            // Comparison
   1.895 +            BOOST_UBLAS_INLINE
   1.896 +            bool operator == (const iterator2 &it) const {
   1.897 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.898 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.899 +                return it2_ == it.it2_;
   1.900 +            }
   1.901 +            BOOST_UBLAS_INLINE
   1.902 +            bool operator < (const iterator2 &it) const {
   1.903 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
   1.904 +                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
   1.905 +                return it2_ < it.it2_;
   1.906 +            }
   1.907 +
   1.908 +        private:
   1.909 +            size_type it1_;
   1.910 +            size_type it2_;
   1.911 +
   1.912 +            friend class const_iterator2;
   1.913 +        };
   1.914 +#endif
   1.915 +
   1.916 +        BOOST_UBLAS_INLINE
   1.917 +        iterator2 begin2 () {
   1.918 +            return find2 (0, 0, 0);
   1.919 +        }
   1.920 +        BOOST_UBLAS_INLINE
   1.921 +        iterator2 end2 () {
   1.922 +            return find2 (0, 0, size2_);
   1.923 +        }
   1.924 +
   1.925 +        // Reverse iterators
   1.926 +
   1.927 +        BOOST_UBLAS_INLINE
   1.928 +        const_reverse_iterator1 rbegin1 () const {
   1.929 +            return const_reverse_iterator1 (end1 ());
   1.930 +        }
   1.931 +        BOOST_UBLAS_INLINE
   1.932 +        const_reverse_iterator1 rend1 () const {
   1.933 +            return const_reverse_iterator1 (begin1 ());
   1.934 +        }
   1.935 +
   1.936 +        BOOST_UBLAS_INLINE
   1.937 +        reverse_iterator1 rbegin1 () {
   1.938 +            return reverse_iterator1 (end1 ());
   1.939 +        }
   1.940 +        BOOST_UBLAS_INLINE
   1.941 +        reverse_iterator1 rend1 () {
   1.942 +            return reverse_iterator1 (begin1 ());
   1.943 +        }
   1.944 +
   1.945 +        BOOST_UBLAS_INLINE
   1.946 +        const_reverse_iterator2 rbegin2 () const {
   1.947 +            return const_reverse_iterator2 (end2 ());
   1.948 +        }
   1.949 +        BOOST_UBLAS_INLINE
   1.950 +        const_reverse_iterator2 rend2 () const {
   1.951 +            return const_reverse_iterator2 (begin2 ());
   1.952 +        }
   1.953 +
   1.954 +        BOOST_UBLAS_INLINE
   1.955 +        reverse_iterator2 rbegin2 () {
   1.956 +            return reverse_iterator2 (end2 ());
   1.957 +        }
   1.958 +        BOOST_UBLAS_INLINE
   1.959 +        reverse_iterator2 rend2 () {
   1.960 +            return reverse_iterator2 (begin2 ());
   1.961 +        }
   1.962 +
   1.963 +    private:
   1.964 +        size_type size1_;
   1.965 +        size_type size2_;
   1.966 +        size_type lower_;
   1.967 +        size_type upper_;
   1.968 +        array_type data_;
   1.969 +        typedef const value_type const_value_type;
   1.970 +        static const_value_type zero_;
   1.971 +    };
   1.972 +
   1.973 +    template<class T, class L, class A>
   1.974 +    typename banded_matrix<T, L, A>::const_value_type banded_matrix<T, L, A>::zero_ = value_type/*zero*/();
   1.975 +
   1.976 +
   1.977 +    // Diagonal matrix class
   1.978 +    template<class T, class L, class A>
   1.979 +    class diagonal_matrix:
   1.980 +        public banded_matrix<T, L, A> {
   1.981 +    public:
   1.982 +        typedef typename A::size_type size_type;
   1.983 +        typedef banded_matrix<T, L, A> matrix_type;
   1.984 +        typedef A array_type;
   1.985 +
   1.986 +        // Construction and destruction
   1.987 +        BOOST_UBLAS_INLINE
   1.988 +        diagonal_matrix ():
   1.989 +            matrix_type () {}
   1.990 +        BOOST_UBLAS_INLINE
   1.991 +        diagonal_matrix (size_type size):
   1.992 +            matrix_type (size, size) {}
   1.993 +        BOOST_UBLAS_INLINE
   1.994 +        diagonal_matrix (size_type size, const array_type& data):
   1.995 +            matrix_type (size, size, 0, 0, data) {}
   1.996 +        BOOST_UBLAS_INLINE
   1.997 +        diagonal_matrix (size_type size1, size_type size2):
   1.998 +            matrix_type (size1, size2) {}
   1.999 +        template<class AE>
  1.1000 +        BOOST_UBLAS_INLINE
  1.1001 +        diagonal_matrix (const matrix_expression<AE> &ae):
  1.1002 +            matrix_type (ae) {}
  1.1003 +        BOOST_UBLAS_INLINE
  1.1004 +        ~diagonal_matrix () {}
  1.1005 +
  1.1006 +        // Assignment
  1.1007 +        BOOST_UBLAS_INLINE
  1.1008 +        diagonal_matrix &operator = (const diagonal_matrix &m) {
  1.1009 +            matrix_type::operator = (m);
  1.1010 +            return *this;
  1.1011 +        }
  1.1012 +        template<class AE>
  1.1013 +        BOOST_UBLAS_INLINE
  1.1014 +        diagonal_matrix &operator = (const matrix_expression<AE> &ae) {
  1.1015 +            matrix_type::operator = (ae);
  1.1016 +            return *this;
  1.1017 +        }
  1.1018 +    };
  1.1019 +
  1.1020 +    // Banded matrix adaptor class
  1.1021 +    template<class M>
  1.1022 +    class banded_adaptor:
  1.1023 +        public matrix_expression<banded_adaptor<M> > {
  1.1024 +
  1.1025 +        typedef banded_adaptor<M> self_type;
  1.1026 +    public:
  1.1027 +#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
  1.1028 +        using matrix_expression<self_type>::operator ();
  1.1029 +#endif
  1.1030 +        typedef const M const_matrix_type;
  1.1031 +        typedef M matrix_type;
  1.1032 +        typedef typename M::size_type size_type;
  1.1033 +        typedef typename M::difference_type difference_type;
  1.1034 +        typedef typename M::value_type value_type;
  1.1035 +        typedef typename M::const_reference const_reference;
  1.1036 +        typedef typename boost::mpl::if_<boost::is_const<M>,
  1.1037 +                                          typename M::const_reference,
  1.1038 +                                          typename M::reference>::type reference;
  1.1039 +        typedef typename boost::mpl::if_<boost::is_const<M>,
  1.1040 +                                          typename M::const_closure_type,
  1.1041 +                                          typename M::closure_type>::type matrix_closure_type;
  1.1042 +        typedef const self_type const_closure_type;
  1.1043 +        typedef self_type closure_type;
  1.1044 +        // Replaced by _temporary_traits to avoid type requirements on M
  1.1045 +        //typedef typename M::vector_temporary_type vector_temporary_type;
  1.1046 +        //typedef typename M::matrix_temporary_type matrix_temporary_type;
  1.1047 +        typedef typename storage_restrict_traits<typename M::storage_category,
  1.1048 +                                                 packed_proxy_tag>::storage_category storage_category;
  1.1049 +        typedef typename M::orientation_category orientation_category;
  1.1050 +
  1.1051 +        // Construction and destruction
  1.1052 +        BOOST_UBLAS_INLINE
  1.1053 +        banded_adaptor (matrix_type &data, size_type lower = 0, size_type upper = 0):
  1.1054 +            matrix_expression<self_type> (),
  1.1055 +            data_ (data), lower_ (lower), upper_ (upper) {}
  1.1056 +        BOOST_UBLAS_INLINE
  1.1057 +        banded_adaptor (const banded_adaptor &m):
  1.1058 +            matrix_expression<self_type> (),
  1.1059 +            data_ (m.data_), lower_ (m.lower_), upper_ (m.upper_) {}
  1.1060 +
  1.1061 +        // Accessors
  1.1062 +        BOOST_UBLAS_INLINE
  1.1063 +        size_type size1 () const {
  1.1064 +            return data_.size1 ();
  1.1065 +        }
  1.1066 +        BOOST_UBLAS_INLINE
  1.1067 +        size_type size2 () const {
  1.1068 +            return data_.size2 ();
  1.1069 +        }
  1.1070 +        BOOST_UBLAS_INLINE
  1.1071 +        size_type lower () const {
  1.1072 +            return lower_;
  1.1073 +        }
  1.1074 +        BOOST_UBLAS_INLINE
  1.1075 +        size_type upper () const {
  1.1076 +            return upper_;
  1.1077 +        }
  1.1078 +
  1.1079 +        // Storage accessors
  1.1080 +        BOOST_UBLAS_INLINE
  1.1081 +        const matrix_closure_type &data () const {
  1.1082 +            return data_;
  1.1083 +        }
  1.1084 +        BOOST_UBLAS_INLINE
  1.1085 +        matrix_closure_type &data () {
  1.1086 +            return data_;
  1.1087 +        }
  1.1088 +
  1.1089 +        // Element access
  1.1090 +#ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
  1.1091 +        BOOST_UBLAS_INLINE
  1.1092 +        const_reference operator () (size_type i, size_type j) const {
  1.1093 +            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
  1.1094 +            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
  1.1095 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1096 +            size_type k = (std::max) (i, j);
  1.1097 +            size_type l = lower_ + j - i;
  1.1098 +            if (k < (std::max) (size1 (), size2 ()) &&
  1.1099 +                l < lower_ + 1 + upper_)
  1.1100 +                return data () (i, j);
  1.1101 +#else
  1.1102 +            size_type k = j;
  1.1103 +            size_type l = upper_ + i - j;
  1.1104 +            if (k < size2 () &&
  1.1105 +                l < lower_ + 1 + upper_)
  1.1106 +                return data () (i, j);
  1.1107 +#endif
  1.1108 +            return zero_;
  1.1109 +        }
  1.1110 +        BOOST_UBLAS_INLINE
  1.1111 +        reference operator () (size_type i, size_type j) {
  1.1112 +            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
  1.1113 +            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
  1.1114 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1115 +            size_type k = (std::max) (i, j);
  1.1116 +            size_type l = lower_ + j - i;
  1.1117 +            if (k < (std::max) (size1 (), size2 ()) &&
  1.1118 +                l < lower_ + 1 + upper_)
  1.1119 +                return data () (i, j);
  1.1120 +#else
  1.1121 +            size_type k = j;
  1.1122 +            size_type l = upper_ + i - j;
  1.1123 +            if (k < size2 () &&
  1.1124 +                l < lower_ + 1 + upper_)
  1.1125 +                return data () (i, j);
  1.1126 +#endif
  1.1127 +#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
  1.1128 +            bad_index ().raise ();
  1.1129 +#endif
  1.1130 +            return const_cast<reference>(zero_);
  1.1131 +        }
  1.1132 +#else
  1.1133 +        BOOST_UBLAS_INLINE
  1.1134 +        reference operator () (size_type i, size_type j) const {
  1.1135 +            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
  1.1136 +            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
  1.1137 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1138 +            size_type k = (std::max) (i, j);
  1.1139 +            size_type l = lower_ + j - i;
  1.1140 +            if (k < (std::max) (size1 (), size2 ()) &&
  1.1141 +                l < lower_ + 1 + upper_)
  1.1142 +                return data () (i, j);
  1.1143 +#else
  1.1144 +            size_type k = j;
  1.1145 +            size_type l = upper_ + i - j;
  1.1146 +            if (k < size2 () &&
  1.1147 +                l < lower_ + 1 + upper_)
  1.1148 +                return data () (i, j);
  1.1149 +#endif
  1.1150 +#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
  1.1151 +            bad_index ().raise ();
  1.1152 +#endif
  1.1153 +            return const_cast<reference>(zero_);
  1.1154 +        }
  1.1155 +#endif
  1.1156 +
  1.1157 +        // Assignment
  1.1158 +        BOOST_UBLAS_INLINE
  1.1159 +        banded_adaptor &operator = (const banded_adaptor &m) {
  1.1160 +            matrix_assign<scalar_assign> (*this, m);
  1.1161 +            return *this;
  1.1162 +        }
  1.1163 +        BOOST_UBLAS_INLINE
  1.1164 +        banded_adaptor &assign_temporary (banded_adaptor &m) {
  1.1165 +            *this = m;
  1.1166 +            return *this;
  1.1167 +        }
  1.1168 +        template<class AE>
  1.1169 +        BOOST_UBLAS_INLINE
  1.1170 +        banded_adaptor &operator = (const matrix_expression<AE> &ae) {
  1.1171 +            matrix_assign<scalar_assign> (*this, matrix<value_type> (ae));
  1.1172 +            return *this;
  1.1173 +        }
  1.1174 +        template<class AE>
  1.1175 +        BOOST_UBLAS_INLINE
  1.1176 +        banded_adaptor &assign (const matrix_expression<AE> &ae) {
  1.1177 +            matrix_assign<scalar_assign> (*this, ae);
  1.1178 +            return *this;
  1.1179 +        }
  1.1180 +        template<class AE>
  1.1181 +        BOOST_UBLAS_INLINE
  1.1182 +        banded_adaptor& operator += (const matrix_expression<AE> &ae) {
  1.1183 +            matrix_assign<scalar_assign> (*this, matrix<value_type> (*this + ae));
  1.1184 +            return *this;
  1.1185 +        }
  1.1186 +        template<class AE>
  1.1187 +        BOOST_UBLAS_INLINE
  1.1188 +        banded_adaptor &plus_assign (const matrix_expression<AE> &ae) {
  1.1189 +            matrix_assign<scalar_plus_assign> (*this, ae);
  1.1190 +            return *this;
  1.1191 +        }
  1.1192 +        template<class AE>
  1.1193 +        BOOST_UBLAS_INLINE
  1.1194 +        banded_adaptor& operator -= (const matrix_expression<AE> &ae) {
  1.1195 +            matrix_assign<scalar_assign> (*this, matrix<value_type> (*this - ae));
  1.1196 +            return *this;
  1.1197 +        }
  1.1198 +        template<class AE>
  1.1199 +        BOOST_UBLAS_INLINE
  1.1200 +        banded_adaptor &minus_assign (const matrix_expression<AE> &ae) {
  1.1201 +            matrix_assign<scalar_minus_assign> (*this, ae);
  1.1202 +            return *this;
  1.1203 +        }
  1.1204 +        template<class AT>
  1.1205 +        BOOST_UBLAS_INLINE
  1.1206 +        banded_adaptor& operator *= (const AT &at) {
  1.1207 +            matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
  1.1208 +            return *this;
  1.1209 +        }
  1.1210 +        template<class AT>
  1.1211 +        BOOST_UBLAS_INLINE
  1.1212 +        banded_adaptor& operator /= (const AT &at) {
  1.1213 +            matrix_assign_scalar<scalar_divides_assign> (*this, at);
  1.1214 +            return *this;
  1.1215 +        }
  1.1216 +
  1.1217 +        // Closure comparison
  1.1218 +        BOOST_UBLAS_INLINE
  1.1219 +        bool same_closure (const banded_adaptor &ba) const {
  1.1220 +            return (*this).data ().same_closure (ba.data ());
  1.1221 +        }
  1.1222 +
  1.1223 +        // Swapping
  1.1224 +        BOOST_UBLAS_INLINE
  1.1225 +        void swap (banded_adaptor &m) {
  1.1226 +            if (this != &m) {
  1.1227 +                BOOST_UBLAS_CHECK (lower_ == m.lower_, bad_size ());
  1.1228 +                BOOST_UBLAS_CHECK (upper_ == m.upper_, bad_size ());
  1.1229 +                matrix_swap<scalar_swap> (*this, m);
  1.1230 +            }
  1.1231 +        }
  1.1232 +        BOOST_UBLAS_INLINE
  1.1233 +        friend void swap (banded_adaptor &m1, banded_adaptor &m2) {
  1.1234 +            m1.swap (m2);
  1.1235 +        }
  1.1236 +
  1.1237 +        // Iterator types
  1.1238 +    private:
  1.1239 +        // Use the matrix iterator
  1.1240 +        typedef typename M::const_iterator1 const_subiterator1_type;
  1.1241 +        typedef typename boost::mpl::if_<boost::is_const<M>,
  1.1242 +                                          typename M::const_iterator1,
  1.1243 +                                          typename M::iterator1>::type subiterator1_type;
  1.1244 +        typedef typename M::const_iterator2 const_subiterator2_type;
  1.1245 +        typedef typename boost::mpl::if_<boost::is_const<M>,
  1.1246 +                                          typename M::const_iterator2,
  1.1247 +                                          typename M::iterator2>::type subiterator2_type;
  1.1248 +
  1.1249 +    public:
  1.1250 +#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1251 +        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
  1.1252 +        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
  1.1253 +        typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
  1.1254 +        typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
  1.1255 +#else
  1.1256 +        class const_iterator1;
  1.1257 +        class iterator1;
  1.1258 +        class const_iterator2;
  1.1259 +        class iterator2;
  1.1260 +#endif
  1.1261 +        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
  1.1262 +        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
  1.1263 +        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
  1.1264 +        typedef reverse_iterator_base2<iterator2> reverse_iterator2;
  1.1265 +
  1.1266 +        // Element lookup
  1.1267 +        BOOST_UBLAS_INLINE
  1.1268 +        const_iterator1 find1 (int rank, size_type i, size_type j) const {
  1.1269 +            if (rank == 1) {
  1.1270 +                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
  1.1271 +                i = (std::max) (i, lower_i);
  1.1272 +                size_type upper_i = (std::min) (j + 1 + lower_, size1 ());
  1.1273 +                i = (std::min) (i, upper_i);
  1.1274 +            }
  1.1275 +            return const_iterator1 (*this, data ().find1 (rank, i, j));
  1.1276 +        }
  1.1277 +        BOOST_UBLAS_INLINE
  1.1278 +        iterator1 find1 (int rank, size_type i, size_type j) {
  1.1279 +            if (rank == 1) {
  1.1280 +                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
  1.1281 +                i = (std::max) (i, lower_i);
  1.1282 +                size_type upper_i = (std::min) (j + 1 + lower_, size1 ());
  1.1283 +                i = (std::min) (i, upper_i);
  1.1284 +            }
  1.1285 +            return iterator1 (*this, data ().find1 (rank, i, j));
  1.1286 +        }
  1.1287 +        BOOST_UBLAS_INLINE
  1.1288 +        const_iterator2 find2 (int rank, size_type i, size_type j) const {
  1.1289 +            if (rank == 1) {
  1.1290 +                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
  1.1291 +                j = (std::max) (j, lower_j);
  1.1292 +                size_type upper_j = (std::min) (i + 1 + upper_, size2 ());
  1.1293 +                j = (std::min) (j, upper_j);
  1.1294 +            }
  1.1295 +            return const_iterator2 (*this, data ().find2 (rank, i, j));
  1.1296 +        }
  1.1297 +        BOOST_UBLAS_INLINE
  1.1298 +        iterator2 find2 (int rank, size_type i, size_type j) {
  1.1299 +            if (rank == 1) {
  1.1300 +                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
  1.1301 +                j = (std::max) (j, lower_j);
  1.1302 +                size_type upper_j = (std::min) (i + 1 + upper_, size2 ());
  1.1303 +                j = (std::min) (j, upper_j);
  1.1304 +            }
  1.1305 +            return iterator2 (*this, data ().find2 (rank, i, j));
  1.1306 +        }
  1.1307 +
  1.1308 +        // Iterators simply are indices.
  1.1309 +
  1.1310 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1311 +        class const_iterator1:
  1.1312 +            public container_const_reference<banded_adaptor>,
  1.1313 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1314 +                                                   typename const_subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
  1.1315 +                                               const_iterator1, value_type> {
  1.1316 +        public:
  1.1317 +            typedef typename const_subiterator1_type::value_type value_type;
  1.1318 +            typedef typename const_subiterator1_type::difference_type difference_type;
  1.1319 +            typedef typename const_subiterator1_type::reference reference;
  1.1320 +            typedef typename const_subiterator1_type::pointer pointer;
  1.1321 +
  1.1322 +            typedef const_iterator2 dual_iterator_type;
  1.1323 +            typedef const_reverse_iterator2 dual_reverse_iterator_type;
  1.1324 +
  1.1325 +            // Construction and destruction
  1.1326 +            BOOST_UBLAS_INLINE
  1.1327 +            const_iterator1 ():
  1.1328 +                container_const_reference<self_type> (), it1_ () {}
  1.1329 +            BOOST_UBLAS_INLINE
  1.1330 +            const_iterator1 (const self_type &m, const const_subiterator1_type &it1):
  1.1331 +                container_const_reference<self_type> (m), it1_ (it1) {}
  1.1332 +            BOOST_UBLAS_INLINE
  1.1333 +            const_iterator1 (const iterator1 &it):
  1.1334 +                container_const_reference<self_type> (it ()), it1_ (it.it1_) {}
  1.1335 +
  1.1336 +            // Arithmetic
  1.1337 +            BOOST_UBLAS_INLINE
  1.1338 +            const_iterator1 &operator ++ () {
  1.1339 +                ++ it1_;
  1.1340 +                return *this;
  1.1341 +            }
  1.1342 +            BOOST_UBLAS_INLINE
  1.1343 +            const_iterator1 &operator -- () {
  1.1344 +                -- it1_;
  1.1345 +                return *this;
  1.1346 +            }
  1.1347 +            BOOST_UBLAS_INLINE
  1.1348 +            const_iterator1 &operator += (difference_type n) {
  1.1349 +                it1_ += n;
  1.1350 +                return *this;
  1.1351 +            }
  1.1352 +            BOOST_UBLAS_INLINE
  1.1353 +            const_iterator1 &operator -= (difference_type n) {
  1.1354 +                it1_ -= n;
  1.1355 +                return *this;
  1.1356 +            }
  1.1357 +            BOOST_UBLAS_INLINE
  1.1358 +            difference_type operator - (const const_iterator1 &it) const {
  1.1359 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1360 +                return it1_ - it.it1_;
  1.1361 +            }
  1.1362 +
  1.1363 +            // Dereference
  1.1364 +            BOOST_UBLAS_INLINE
  1.1365 +            const_reference operator * () const {
  1.1366 +                size_type i = index1 ();
  1.1367 +                size_type j = index2 ();
  1.1368 +                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
  1.1369 +                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
  1.1370 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1371 +                size_type k = (std::max) (i, j);
  1.1372 +                size_type l = (*this) ().lower () + j - i;
  1.1373 +                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
  1.1374 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1375 +                    return *it1_;
  1.1376 +#else
  1.1377 +                size_type k = j;
  1.1378 +                size_type l = (*this) ().upper () + i - j;
  1.1379 +                if (k < (*this) ().size2 () &&
  1.1380 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1381 +                    return *it1_;
  1.1382 +#endif
  1.1383 +                return (*this) () (i, j);
  1.1384 +            }
  1.1385 +            BOOST_UBLAS_INLINE
  1.1386 +            const_reference operator [] (difference_type n) const {
  1.1387 +                return *(*this + n);
  1.1388 +            }
  1.1389 +
  1.1390 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1391 +            BOOST_UBLAS_INLINE
  1.1392 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1393 +            typename self_type::
  1.1394 +#endif
  1.1395 +            const_iterator2 begin () const {
  1.1396 +                return (*this) ().find2 (1, index1 (), 0);
  1.1397 +            }
  1.1398 +            BOOST_UBLAS_INLINE
  1.1399 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1400 +            typename self_type::
  1.1401 +#endif
  1.1402 +            const_iterator2 end () const {
  1.1403 +                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
  1.1404 +            }
  1.1405 +            BOOST_UBLAS_INLINE
  1.1406 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1407 +            typename self_type::
  1.1408 +#endif
  1.1409 +            const_reverse_iterator2 rbegin () const {
  1.1410 +                return const_reverse_iterator2 (end ());
  1.1411 +            }
  1.1412 +            BOOST_UBLAS_INLINE
  1.1413 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1414 +            typename self_type::
  1.1415 +#endif
  1.1416 +            const_reverse_iterator2 rend () const {
  1.1417 +                return const_reverse_iterator2 (begin ());
  1.1418 +            }
  1.1419 +#endif
  1.1420 +
  1.1421 +            // Indices
  1.1422 +            BOOST_UBLAS_INLINE
  1.1423 +            size_type index1 () const {
  1.1424 +                return it1_.index1 ();
  1.1425 +            }
  1.1426 +            BOOST_UBLAS_INLINE
  1.1427 +            size_type index2 () const {
  1.1428 +                return it1_.index2 ();
  1.1429 +            }
  1.1430 +
  1.1431 +            // Assignment
  1.1432 +            BOOST_UBLAS_INLINE
  1.1433 +            const_iterator1 &operator = (const const_iterator1 &it) {
  1.1434 +                container_const_reference<self_type>::assign (&it ());
  1.1435 +                it1_ = it.it1_;
  1.1436 +                return *this;
  1.1437 +            }
  1.1438 +
  1.1439 +            // Comparison
  1.1440 +            BOOST_UBLAS_INLINE
  1.1441 +            bool operator == (const const_iterator1 &it) const {
  1.1442 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1443 +                return it1_ == it.it1_;
  1.1444 +            }
  1.1445 +            BOOST_UBLAS_INLINE
  1.1446 +            bool operator < (const const_iterator1 &it) const {
  1.1447 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1448 +                return it1_ < it.it1_;
  1.1449 +            }
  1.1450 +
  1.1451 +        private:
  1.1452 +            const_subiterator1_type it1_;
  1.1453 +        };
  1.1454 +#endif
  1.1455 +
  1.1456 +        BOOST_UBLAS_INLINE
  1.1457 +        const_iterator1 begin1 () const {
  1.1458 +            return find1 (0, 0, 0);
  1.1459 +        }
  1.1460 +        BOOST_UBLAS_INLINE
  1.1461 +        const_iterator1 end1 () const {
  1.1462 +            return find1 (0, size1 (), 0);
  1.1463 +        }
  1.1464 +
  1.1465 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1466 +        class iterator1:
  1.1467 +            public container_reference<banded_adaptor>,
  1.1468 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1469 +                                                   typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
  1.1470 +                                               iterator1, value_type> {
  1.1471 +        public:
  1.1472 +            typedef typename subiterator1_type::value_type value_type;
  1.1473 +            typedef typename subiterator1_type::difference_type difference_type;
  1.1474 +            typedef typename subiterator1_type::reference reference;
  1.1475 +            typedef typename subiterator1_type::pointer pointer;
  1.1476 +
  1.1477 +            typedef iterator2 dual_iterator_type;
  1.1478 +            typedef reverse_iterator2 dual_reverse_iterator_type;
  1.1479 +
  1.1480 +            // Construction and destruction
  1.1481 +            BOOST_UBLAS_INLINE
  1.1482 +            iterator1 ():
  1.1483 +                container_reference<self_type> (), it1_ () {}
  1.1484 +            BOOST_UBLAS_INLINE
  1.1485 +            iterator1 (self_type &m, const subiterator1_type &it1):
  1.1486 +                container_reference<self_type> (m), it1_ (it1) {}
  1.1487 +
  1.1488 +            // Arithmetic
  1.1489 +            BOOST_UBLAS_INLINE
  1.1490 +            iterator1 &operator ++ () {
  1.1491 +                ++ it1_;
  1.1492 +                return *this;
  1.1493 +            }
  1.1494 +            BOOST_UBLAS_INLINE
  1.1495 +            iterator1 &operator -- () {
  1.1496 +                -- it1_;
  1.1497 +                return *this;
  1.1498 +            }
  1.1499 +            BOOST_UBLAS_INLINE
  1.1500 +            iterator1 &operator += (difference_type n) {
  1.1501 +                it1_ += n;
  1.1502 +                return *this;
  1.1503 +            }
  1.1504 +            BOOST_UBLAS_INLINE
  1.1505 +            iterator1 &operator -= (difference_type n) {
  1.1506 +                it1_ -= n;
  1.1507 +                return *this;
  1.1508 +            }
  1.1509 +            BOOST_UBLAS_INLINE
  1.1510 +            difference_type operator - (const iterator1 &it) const {
  1.1511 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1512 +                return it1_ - it.it1_;
  1.1513 +            }
  1.1514 +
  1.1515 +            // Dereference
  1.1516 +            BOOST_UBLAS_INLINE
  1.1517 +            reference operator * () const {
  1.1518 +                size_type i = index1 ();
  1.1519 +                size_type j = index2 ();
  1.1520 +                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
  1.1521 +                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
  1.1522 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1523 +                size_type k = (std::max) (i, j);
  1.1524 +                size_type l = (*this) ().lower () + j - i;
  1.1525 +                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
  1.1526 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1527 +                    return *it1_;
  1.1528 +#else
  1.1529 +                size_type k = j;
  1.1530 +                size_type l = (*this) ().upper () + i - j;
  1.1531 +                if (k < (*this) ().size2 () &&
  1.1532 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1533 +                    return *it1_;
  1.1534 +#endif
  1.1535 +                return (*this) () (i, j);
  1.1536 +            }
  1.1537 +            BOOST_UBLAS_INLINE
  1.1538 +            reference operator [] (difference_type n) const {
  1.1539 +                return *(*this + n);
  1.1540 +            }
  1.1541 +
  1.1542 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1543 +            BOOST_UBLAS_INLINE
  1.1544 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1545 +            typename self_type::
  1.1546 +#endif
  1.1547 +            iterator2 begin () const {
  1.1548 +                return (*this) ().find2 (1, index1 (), 0);
  1.1549 +            }
  1.1550 +            BOOST_UBLAS_INLINE
  1.1551 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1552 +            typename self_type::
  1.1553 +#endif
  1.1554 +            iterator2 end () const {
  1.1555 +                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
  1.1556 +            }
  1.1557 +            BOOST_UBLAS_INLINE
  1.1558 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1559 +            typename self_type::
  1.1560 +#endif
  1.1561 +            reverse_iterator2 rbegin () const {
  1.1562 +                return reverse_iterator2 (end ());
  1.1563 +            }
  1.1564 +            BOOST_UBLAS_INLINE
  1.1565 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1566 +            typename self_type::
  1.1567 +#endif
  1.1568 +            reverse_iterator2 rend () const {
  1.1569 +                return reverse_iterator2 (begin ());
  1.1570 +            }
  1.1571 +#endif
  1.1572 +
  1.1573 +            // Indices
  1.1574 +            BOOST_UBLAS_INLINE
  1.1575 +            size_type index1 () const {
  1.1576 +                return it1_.index1 ();
  1.1577 +            }
  1.1578 +            BOOST_UBLAS_INLINE
  1.1579 +            size_type index2 () const {
  1.1580 +                return it1_.index2 ();
  1.1581 +            }
  1.1582 +
  1.1583 +            // Assignment
  1.1584 +            BOOST_UBLAS_INLINE
  1.1585 +            iterator1 &operator = (const iterator1 &it) {
  1.1586 +                container_reference<self_type>::assign (&it ());
  1.1587 +                it1_ = it.it1_;
  1.1588 +                return *this;
  1.1589 +            }
  1.1590 +
  1.1591 +            // Comparison
  1.1592 +            BOOST_UBLAS_INLINE
  1.1593 +            bool operator == (const iterator1 &it) const {
  1.1594 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1595 +                return it1_ == it.it1_;
  1.1596 +            }
  1.1597 +            BOOST_UBLAS_INLINE
  1.1598 +            bool operator < (const iterator1 &it) const {
  1.1599 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1600 +                return it1_ < it.it1_;
  1.1601 +            }
  1.1602 +
  1.1603 +        private:
  1.1604 +            subiterator1_type it1_;
  1.1605 +
  1.1606 +            friend class const_iterator1;
  1.1607 +        };
  1.1608 +#endif
  1.1609 +
  1.1610 +        BOOST_UBLAS_INLINE
  1.1611 +        iterator1 begin1 () {
  1.1612 +            return find1 (0, 0, 0);
  1.1613 +        }
  1.1614 +        BOOST_UBLAS_INLINE
  1.1615 +        iterator1 end1 () {
  1.1616 +            return find1 (0, size1 (), 0);
  1.1617 +        }
  1.1618 +
  1.1619 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1620 +        class const_iterator2:
  1.1621 +            public container_const_reference<banded_adaptor>,
  1.1622 +            public random_access_iterator_base<packed_random_access_iterator_tag,
  1.1623 +                                               const_iterator2, value_type> {
  1.1624 +        public:
  1.1625 +            typedef typename iterator_restrict_traits<typename const_subiterator2_type::iterator_category,
  1.1626 +                                                      packed_random_access_iterator_tag>::iterator_category iterator_category;
  1.1627 +            typedef typename const_subiterator2_type::value_type value_type;
  1.1628 +            typedef typename const_subiterator2_type::difference_type difference_type;
  1.1629 +            typedef typename const_subiterator2_type::reference reference;
  1.1630 +            typedef typename const_subiterator2_type::pointer pointer;
  1.1631 +
  1.1632 +            typedef const_iterator1 dual_iterator_type;
  1.1633 +            typedef const_reverse_iterator1 dual_reverse_iterator_type;
  1.1634 +
  1.1635 +            // Construction and destruction
  1.1636 +            BOOST_UBLAS_INLINE
  1.1637 +            const_iterator2 ():
  1.1638 +                container_const_reference<self_type> (), it2_ () {}
  1.1639 +            BOOST_UBLAS_INLINE
  1.1640 +            const_iterator2 (const self_type &m, const const_subiterator2_type &it2):
  1.1641 +                container_const_reference<self_type> (m), it2_ (it2) {}
  1.1642 +            BOOST_UBLAS_INLINE
  1.1643 +            const_iterator2 (const iterator2 &it):
  1.1644 +                container_const_reference<self_type> (it ()), it2_ (it.it2_) {}
  1.1645 +
  1.1646 +            // Arithmetic
  1.1647 +            BOOST_UBLAS_INLINE
  1.1648 +            const_iterator2 &operator ++ () {
  1.1649 +                ++ it2_;
  1.1650 +                return *this;
  1.1651 +            }
  1.1652 +            BOOST_UBLAS_INLINE
  1.1653 +            const_iterator2 &operator -- () {
  1.1654 +                -- it2_;
  1.1655 +                return *this;
  1.1656 +            }
  1.1657 +            BOOST_UBLAS_INLINE
  1.1658 +            const_iterator2 &operator += (difference_type n) {
  1.1659 +                it2_ += n;
  1.1660 +                return *this;
  1.1661 +            }
  1.1662 +            BOOST_UBLAS_INLINE
  1.1663 +            const_iterator2 &operator -= (difference_type n) {
  1.1664 +                it2_ -= n;
  1.1665 +                return *this;
  1.1666 +            }
  1.1667 +            BOOST_UBLAS_INLINE
  1.1668 +            difference_type operator - (const const_iterator2 &it) const {
  1.1669 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1670 +                return it2_ - it.it2_;
  1.1671 +            }
  1.1672 +
  1.1673 +            // Dereference
  1.1674 +            BOOST_UBLAS_INLINE
  1.1675 +            const_reference operator * () const {
  1.1676 +                size_type i = index1 ();
  1.1677 +                size_type j = index2 ();
  1.1678 +                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
  1.1679 +                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
  1.1680 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1681 +                size_type k = (std::max) (i, j);
  1.1682 +                size_type l = (*this) ().lower () + j - i;
  1.1683 +                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
  1.1684 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1685 +                    return *it2_;
  1.1686 +#else
  1.1687 +                size_type k = j;
  1.1688 +                size_type l = (*this) ().upper () + i - j;
  1.1689 +                if (k < (*this) ().size2 () &&
  1.1690 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1691 +                    return *it2_;
  1.1692 +#endif
  1.1693 +                return (*this) () (i, j);
  1.1694 +            }
  1.1695 +            BOOST_UBLAS_INLINE
  1.1696 +            const_reference operator [] (difference_type n) const {
  1.1697 +                return *(*this + n);
  1.1698 +            }
  1.1699 +
  1.1700 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1701 +            BOOST_UBLAS_INLINE
  1.1702 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1703 +            typename self_type::
  1.1704 +#endif
  1.1705 +            const_iterator1 begin () const {
  1.1706 +                return (*this) ().find1 (1, 0, index2 ());
  1.1707 +            }
  1.1708 +            BOOST_UBLAS_INLINE
  1.1709 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1710 +            typename self_type::
  1.1711 +#endif
  1.1712 +            const_iterator1 end () const {
  1.1713 +                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
  1.1714 +            }
  1.1715 +            BOOST_UBLAS_INLINE
  1.1716 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1717 +            typename self_type::
  1.1718 +#endif
  1.1719 +            const_reverse_iterator1 rbegin () const {
  1.1720 +                return const_reverse_iterator1 (end ());
  1.1721 +            }
  1.1722 +            BOOST_UBLAS_INLINE
  1.1723 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1724 +            typename self_type::
  1.1725 +#endif
  1.1726 +            const_reverse_iterator1 rend () const {
  1.1727 +                return const_reverse_iterator1 (begin ());
  1.1728 +            }
  1.1729 +#endif
  1.1730 +
  1.1731 +            // Indices
  1.1732 +            BOOST_UBLAS_INLINE
  1.1733 +            size_type index1 () const {
  1.1734 +                return it2_.index1 ();
  1.1735 +            }
  1.1736 +            BOOST_UBLAS_INLINE
  1.1737 +            size_type index2 () const {
  1.1738 +                return it2_.index2 ();
  1.1739 +            }
  1.1740 +
  1.1741 +            // Assignment
  1.1742 +            BOOST_UBLAS_INLINE
  1.1743 +            const_iterator2 &operator = (const const_iterator2 &it) {
  1.1744 +                container_const_reference<self_type>::assign (&it ());
  1.1745 +                it2_ = it.it2_;
  1.1746 +                return *this;
  1.1747 +            }
  1.1748 +
  1.1749 +            // Comparison
  1.1750 +            BOOST_UBLAS_INLINE
  1.1751 +            bool operator == (const const_iterator2 &it) const {
  1.1752 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1753 +                return it2_ == it.it2_;
  1.1754 +            }
  1.1755 +            BOOST_UBLAS_INLINE
  1.1756 +            bool operator < (const const_iterator2 &it) const {
  1.1757 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1758 +                return it2_ < it.it2_;
  1.1759 +            }
  1.1760 +
  1.1761 +        private:
  1.1762 +            const_subiterator2_type it2_;
  1.1763 +        };
  1.1764 +#endif
  1.1765 +
  1.1766 +        BOOST_UBLAS_INLINE
  1.1767 +        const_iterator2 begin2 () const {
  1.1768 +            return find2 (0, 0, 0);
  1.1769 +        }
  1.1770 +        BOOST_UBLAS_INLINE
  1.1771 +        const_iterator2 end2 () const {
  1.1772 +            return find2 (0, 0, size2 ());
  1.1773 +        }
  1.1774 +
  1.1775 +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
  1.1776 +        class iterator2:
  1.1777 +            public container_reference<banded_adaptor>,
  1.1778 +            public random_access_iterator_base<typename iterator_restrict_traits<
  1.1779 +                                                   typename subiterator2_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
  1.1780 +                                               iterator2, value_type> {
  1.1781 +        public:
  1.1782 +            typedef typename subiterator2_type::value_type value_type;
  1.1783 +            typedef typename subiterator2_type::difference_type difference_type;
  1.1784 +            typedef typename subiterator2_type::reference reference;
  1.1785 +            typedef typename subiterator2_type::pointer pointer;
  1.1786 +
  1.1787 +            typedef iterator1 dual_iterator_type;
  1.1788 +            typedef reverse_iterator1 dual_reverse_iterator_type;
  1.1789 +
  1.1790 +            // Construction and destruction
  1.1791 +            BOOST_UBLAS_INLINE
  1.1792 +            iterator2 ():
  1.1793 +                container_reference<self_type> (), it2_ () {}
  1.1794 +            BOOST_UBLAS_INLINE
  1.1795 +            iterator2 (self_type &m, const subiterator2_type &it2):
  1.1796 +                container_reference<self_type> (m), it2_ (it2) {}
  1.1797 +
  1.1798 +            // Arithmetic
  1.1799 +            BOOST_UBLAS_INLINE
  1.1800 +            iterator2 &operator ++ () {
  1.1801 +                ++ it2_;
  1.1802 +                return *this;
  1.1803 +            }
  1.1804 +            BOOST_UBLAS_INLINE
  1.1805 +            iterator2 &operator -- () {
  1.1806 +                -- it2_;
  1.1807 +                return *this;
  1.1808 +            }
  1.1809 +            BOOST_UBLAS_INLINE
  1.1810 +            iterator2 &operator += (difference_type n) {
  1.1811 +                it2_ += n;
  1.1812 +                return *this;
  1.1813 +            }
  1.1814 +            BOOST_UBLAS_INLINE
  1.1815 +            iterator2 &operator -= (difference_type n) {
  1.1816 +                it2_ -= n;
  1.1817 +                return *this;
  1.1818 +            }
  1.1819 +            BOOST_UBLAS_INLINE
  1.1820 +            difference_type operator - (const iterator2 &it) const {
  1.1821 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1822 +                return it2_ - it.it2_;
  1.1823 +            }
  1.1824 +
  1.1825 +            // Dereference
  1.1826 +            BOOST_UBLAS_INLINE
  1.1827 +            reference operator * () const {
  1.1828 +                size_type i = index1 ();
  1.1829 +                size_type j = index2 ();
  1.1830 +                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
  1.1831 +                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
  1.1832 +#ifdef BOOST_UBLAS_OWN_BANDED
  1.1833 +                size_type k = (std::max) (i, j);
  1.1834 +                size_type l = (*this) ().lower () + j - i;
  1.1835 +                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
  1.1836 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1837 +                    return *it2_;
  1.1838 +#else
  1.1839 +                size_type k = j;
  1.1840 +                size_type l = (*this) ().upper () + i - j;
  1.1841 +                if (k < (*this) ().size2 () &&
  1.1842 +                    l < (*this) ().lower () + 1 + (*this) ().upper ())
  1.1843 +                    return *it2_;
  1.1844 +#endif
  1.1845 +                return (*this) () (i, j);
  1.1846 +            }
  1.1847 +            BOOST_UBLAS_INLINE
  1.1848 +            reference operator [] (difference_type n) const {
  1.1849 +                return *(*this + n);
  1.1850 +            }
  1.1851 +
  1.1852 +#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
  1.1853 +            BOOST_UBLAS_INLINE
  1.1854 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1855 +            typename self_type::
  1.1856 +#endif
  1.1857 +            iterator1 begin () const {
  1.1858 +                return (*this) ().find1 (1, 0, index2 ());
  1.1859 +            }
  1.1860 +            BOOST_UBLAS_INLINE
  1.1861 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1862 +            typename self_type::
  1.1863 +#endif
  1.1864 +            iterator1 end () const {
  1.1865 +                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
  1.1866 +            }
  1.1867 +            BOOST_UBLAS_INLINE
  1.1868 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1869 +            typename self_type::
  1.1870 +#endif
  1.1871 +            reverse_iterator1 rbegin () const {
  1.1872 +                return reverse_iterator1 (end ());
  1.1873 +            }
  1.1874 +            BOOST_UBLAS_INLINE
  1.1875 +#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
  1.1876 +            typename self_type::
  1.1877 +#endif
  1.1878 +            reverse_iterator1 rend () const {
  1.1879 +                return reverse_iterator1 (begin ());
  1.1880 +            }
  1.1881 +#endif
  1.1882 +
  1.1883 +            // Indices
  1.1884 +            BOOST_UBLAS_INLINE
  1.1885 +            size_type index1 () const {
  1.1886 +                return it2_.index1 ();
  1.1887 +            }
  1.1888 +            BOOST_UBLAS_INLINE
  1.1889 +            size_type index2 () const {
  1.1890 +                return it2_.index2 ();
  1.1891 +            }
  1.1892 +
  1.1893 +            // Assignment
  1.1894 +            BOOST_UBLAS_INLINE
  1.1895 +            iterator2 &operator = (const iterator2 &it) {
  1.1896 +                container_reference<self_type>::assign (&it ());
  1.1897 +                it2_ = it.it2_;
  1.1898 +                return *this;
  1.1899 +            }
  1.1900 +
  1.1901 +            // Comparison
  1.1902 +            BOOST_UBLAS_INLINE
  1.1903 +            bool operator == (const iterator2 &it) const {
  1.1904 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1905 +                return it2_ == it.it2_;
  1.1906 +            }
  1.1907 +            BOOST_UBLAS_INLINE
  1.1908 +            bool operator < (const iterator2 &it) const {
  1.1909 +                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
  1.1910 +                return it2_ < it.it2_;
  1.1911 +            }
  1.1912 +
  1.1913 +        private:
  1.1914 +            subiterator2_type it2_;
  1.1915 +
  1.1916 +            friend class const_iterator2;
  1.1917 +        };
  1.1918 +#endif
  1.1919 +
  1.1920 +        BOOST_UBLAS_INLINE
  1.1921 +        iterator2 begin2 () {
  1.1922 +            return find2 (0, 0, 0);
  1.1923 +        }
  1.1924 +        BOOST_UBLAS_INLINE
  1.1925 +        iterator2 end2 () {
  1.1926 +            return find2 (0, 0, size2 ());
  1.1927 +        }
  1.1928 +
  1.1929 +        // Reverse iterators
  1.1930 +
  1.1931 +        BOOST_UBLAS_INLINE
  1.1932 +        const_reverse_iterator1 rbegin1 () const {
  1.1933 +            return const_reverse_iterator1 (end1 ());
  1.1934 +        }
  1.1935 +        BOOST_UBLAS_INLINE
  1.1936 +        const_reverse_iterator1 rend1 () const {
  1.1937 +            return const_reverse_iterator1 (begin1 ());
  1.1938 +        }
  1.1939 +
  1.1940 +        BOOST_UBLAS_INLINE
  1.1941 +        reverse_iterator1 rbegin1 () {
  1.1942 +            return reverse_iterator1 (end1 ());
  1.1943 +        }
  1.1944 +        BOOST_UBLAS_INLINE
  1.1945 +        reverse_iterator1 rend1 () {
  1.1946 +            return reverse_iterator1 (begin1 ());
  1.1947 +        }
  1.1948 +
  1.1949 +        BOOST_UBLAS_INLINE
  1.1950 +        const_reverse_iterator2 rbegin2 () const {
  1.1951 +            return const_reverse_iterator2 (end2 ());
  1.1952 +        }
  1.1953 +        BOOST_UBLAS_INLINE
  1.1954 +        const_reverse_iterator2 rend2 () const {
  1.1955 +            return const_reverse_iterator2 (begin2 ());
  1.1956 +        }
  1.1957 +
  1.1958 +        BOOST_UBLAS_INLINE
  1.1959 +        reverse_iterator2 rbegin2 () {
  1.1960 +            return reverse_iterator2 (end2 ());
  1.1961 +        }
  1.1962 +        BOOST_UBLAS_INLINE
  1.1963 +        reverse_iterator2 rend2 () {
  1.1964 +            return reverse_iterator2 (begin2 ());
  1.1965 +        }
  1.1966 +
  1.1967 +    private:
  1.1968 +        matrix_closure_type data_;
  1.1969 +        size_type lower_;
  1.1970 +        size_type upper_;
  1.1971 +        typedef const value_type const_value_type;
  1.1972 +        static const_value_type zero_;
  1.1973 +    };
  1.1974 +
  1.1975 +    // Specialization for temporary_traits
  1.1976 +    template <class M>
  1.1977 +    struct vector_temporary_traits< banded_adaptor<M> >
  1.1978 +    : vector_temporary_traits< M > {} ;
  1.1979 +    template <class M>
  1.1980 +    struct vector_temporary_traits< const banded_adaptor<M> >
  1.1981 +    : vector_temporary_traits< M > {} ;
  1.1982 +
  1.1983 +    template <class M>
  1.1984 +    struct matrix_temporary_traits< banded_adaptor<M> >
  1.1985 +    : matrix_temporary_traits< M > {} ;
  1.1986 +    template <class M>
  1.1987 +    struct matrix_temporary_traits< const banded_adaptor<M> >
  1.1988 +    : matrix_temporary_traits< M > {} ;
  1.1989 +
  1.1990 +
  1.1991 +    template<class M>
  1.1992 +    typename banded_adaptor<M>::const_value_type banded_adaptor<M>::zero_ = value_type/*zero*/();
  1.1993 +
  1.1994 +    // Diagonal matrix adaptor class
  1.1995 +    template<class M>
  1.1996 +    class diagonal_adaptor:
  1.1997 +        public banded_adaptor<M> {
  1.1998 +    public:
  1.1999 +        typedef M matrix_type;
  1.2000 +        typedef banded_adaptor<M> adaptor_type;
  1.2001 +
  1.2002 +        // Construction and destruction
  1.2003 +        BOOST_UBLAS_INLINE
  1.2004 +        diagonal_adaptor ():
  1.2005 +            adaptor_type () {}
  1.2006 +        BOOST_UBLAS_INLINE
  1.2007 +        diagonal_adaptor (matrix_type &data):
  1.2008 +            adaptor_type (data) {}
  1.2009 +        BOOST_UBLAS_INLINE
  1.2010 +        ~diagonal_adaptor () {}
  1.2011 +
  1.2012 +        // Assignment
  1.2013 +        BOOST_UBLAS_INLINE
  1.2014 +        diagonal_adaptor &operator = (const diagonal_adaptor &m) {
  1.2015 +            adaptor_type::operator = (m);
  1.2016 +            return *this;
  1.2017 +        }
  1.2018 +        template<class AE>
  1.2019 +        BOOST_UBLAS_INLINE
  1.2020 +        diagonal_adaptor &operator = (const matrix_expression<AE> &ae) {
  1.2021 +            adaptor_type::operator = (ae);
  1.2022 +            return *this;
  1.2023 +        }
  1.2024 +    };
  1.2025 +
  1.2026 +}}}
  1.2027 +
  1.2028 +#endif