FM / ublas

/usr/include/boost/numeric/ublas

Name	Size	Mode	Actions
detail/	-	0755	rm
experimental/	-	0755	rm
opencl/	-	0755	rm
operation/	-	0755	rm
tensor/	-	0755	rm
traits/	-	0755	rm
assignment.hpp	35756	0644	edit dl rm
banded.hpp	86847	0644	edit dl rm
blas.hpp	18132	0644	edit dl rm
doxydoc.hpp	4087	0644	edit dl rm
exception.hpp	8822	0644	edit dl rm
expression_types.hpp	18467	0644	edit dl rm
functional.hpp	80865	0644	edit dl rm
fwd.hpp	7215	0644	edit dl rm
hermitian.hpp	102000	0644	edit dl rm
io.hpp	13687	0644	edit dl rm
lu.hpp	14044	0644	edit dl rm
matrix.hpp	216096	0644	edit dl rm
matrix_expression.hpp	169092	0644	edit dl rm
matrix_proxy.hpp	201494	0644	edit dl rm
matrix_sparse.hpp	231409	0644	edit dl rm
matrix_vector.hpp	11475	0644	edit dl rm
opencl.hpp	490	0644	edit dl rm
operation.hpp	32110	0644	edit dl rm
operations.hpp	739	0644	edit dl rm
operation_blocked.hpp	13813	0644	edit dl rm
operation_sparse.hpp	8146	0644	edit dl rm
storage.hpp	67562	0644	edit dl rm
storage_sparse.hpp	19762	0644	edit dl rm
symmetric.hpp	88183	0644	edit dl rm
tags.hpp	731	0644	edit dl rm
tensor.hpp	800	0644	edit dl rm
traits.hpp	24952	0644	edit dl rm
triangular.hpp	105304	0644	edit dl rm
vector.hpp	105769	0644	edit dl rm
vector_expression.hpp	65815	0644	edit dl rm
vector_of_vector.hpp	53270	0644	edit dl rm
vector_proxy.hpp	64597	0644	edit dl rm
vector_sparse.hpp	84156	0644	edit dl rm

Edit: /usr/include/boost/numeric/ublas/banded.hpp (86847B)

//
//  Copyright (c) 2000-2013
//  Joerg Walter, Mathias Koch, Athanasios Iliopoulos
//
//  Distributed under the Boost Software License, Version 1.0. (See
//  accompanying file LICENSE_1_0.txt or copy at
//  http://www.boost.org/LICENSE_1_0.txt)
//
//  The authors gratefully acknowledge the support of
//  GeNeSys mbH & Co. KG in producing this work.
//

#ifndef _BOOST_UBLAS_BANDED_
#define _BOOST_UBLAS_BANDED_

#include <boost/numeric/ublas/matrix.hpp>
#include <boost/numeric/ublas/detail/temporary.hpp>

// Iterators based on ideas of Jeremy Siek

namespace boost { namespace numeric { namespace ublas {

namespace hidden {

/** \brief A helper for band_matrix indexing.
 *
 * The indexing happens as per the netlib description: http://www.netlib.org/lapack/lug/node124.html.
 * In the case of a row_major matrix a different approach is followed;
 */
template <class LayoutType>
class banded_indexing { };

/** \brief A helper for indexing column major banded matrices.
 *
 */
template <>
class banded_indexing<column_major_tag> {
public:

template <class T>
    BOOST_UBLAS_INLINE static T size(T /*size1*/, T size2) {
        return size2;
    }

//    template <class T>
//    BOOST_UBLAS_INLINE static bool valid_index(T size1, T /*size2*/, T lower, T upper, T i, T j) {
//        return (upper+i >= j) && i <= std::min(size1 - 1, j + lower); // upper + i is used by get_index. Maybe find a way to consolidate the operations to increase performance
//    }

template <class T>
    BOOST_UBLAS_INLINE static T get_index(T /*size1*/, T size2, T lower, T upper, T i, T j) {
        return column_major::element (upper + i - j, lower + 1 + upper, j, size2);
    }
};

/** \brief A helper for indexing row major banded matrices.
 *
 */
template <>
class banded_indexing<row_major_tag> {
public:

template <class T>
    BOOST_UBLAS_INLINE static T size(T size1, T /*size2*/) {
        return size1;
    }

//  template <class T>
  //  BOOST_UBLAS_INLINE static bool valid_index(T /*size1*/, T  size2, T lower, T upper, T i, T j) {
  //      return (lower+j >= i) && j <= std::min(size2 - 1, i + upper); // lower + j is used by get_index. Maybe find a way to consolidate the operations to increase performance
  //  }

template <class T>
    BOOST_UBLAS_INLINE static T get_index(T size1, T /*size2*/, T lower, T upper, T i, T j) {
        return row_major::element (i, size1, lower + j - i, lower + 1 + upper);
    }
};

}

/** \brief A banded matrix of values of type \c T.
     *
     * For a \f$(mxn)\f$-dimensional banded matrix with \f$l\f$ lower and \f$u\f$ upper diagonals and 
     * \f$0 \leq i < m\f$ and \f$0 \leq j < n\f$, if \f$i>j+l\f$ or \f$i<j-u\f$ then \f$b_{i,j}=0\f$. 
     * The default storage for banded matrices is packed. Orientation and storage can also be specified. 
     * Default is \c row_major and and unbounded_array. It is \b not required by the storage to initialize 
     * elements of the matrix.
     *
     * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
     * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major
     * \tparam A the type of Storage array. Default is \c unbounded_array
     */
    template<class T, class L, class A>
    class banded_matrix:
        public matrix_container<banded_matrix<T, L, A> > {

typedef T *pointer;
        typedef L layout_type;
        typedef banded_matrix<T, L, A> self_type;

public:
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
        using matrix_container<self_type>::operator ();
#endif
        typedef typename A::size_type size_type;
        typedef typename A::difference_type difference_type;
        typedef T value_type;
        typedef const T &const_reference;
        typedef T &reference;
        typedef A array_type;
        typedef const matrix_reference<const self_type> const_closure_type;
        typedef matrix_reference<self_type> closure_type;
        typedef vector<T, A> vector_temporary_type;
        typedef matrix<T, L, A> matrix_temporary_type;  // general sub-matrix
        typedef packed_tag storage_category;
        typedef typename L::orientation_category orientation_category;

private:
    public:

// Construction and destruction
        BOOST_UBLAS_INLINE
        banded_matrix ():
            matrix_container<self_type> (),
            size1_ (0), size2_ (0),
            lower_ (0), upper_ (0), data_ (0) {}
        BOOST_UBLAS_INLINE
        banded_matrix (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0):
            matrix_container<self_type> (),
            size1_ (size1), size2_ (size2),
            lower_ (lower), upper_ (upper),
#if defined(BOOST_UBLAS_OWN_BANDED) || (BOOST_UBLAS_LEGACY_BANDED)
            data_ ((std::max) (size1, size2) * (lower + 1 + upper))
#else
            data_ ( hidden::banded_indexing<orientation_category>::size(size1, size2) * (lower + 1 + upper)) // This is the netlib layout as described here: http://www.netlib.org/lapack/lug/node124.html
#endif
        {
        }
        BOOST_UBLAS_INLINE
        banded_matrix (size_type size1, size_type size2, size_type lower, size_type upper, const array_type &data):
            matrix_container<self_type> (),
            size1_ (size1), size2_ (size2),
            lower_ (lower), upper_ (upper), data_ (data) {}
        BOOST_UBLAS_INLINE
        banded_matrix (const banded_matrix &m):
            matrix_container<self_type> (),
            size1_ (m.size1_), size2_ (m.size2_),
            lower_ (m.lower_), upper_ (m.upper_), data_ (m.data_) {}
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix (const matrix_expression<AE> &ae, size_type lower = 0, size_type upper = 0):
            matrix_container<self_type> (),
            size1_ (ae ().size1 ()), size2_ (ae ().size2 ()),
            lower_ (lower), upper_ (upper),
#if defined(BOOST_UBLAS_OWN_BANDED) || (BOOST_UBLAS_LEGACY_BANDED)
            data_ ((std::max) (size1_, size2_) * (lower_ + 1 + upper_))
#else
            data_ ( hidden::banded_indexing<orientation_category>::size(size1_, size2_) * (lower_ + 1 + upper_)) // This is the netlib layout as described here: http://www.netlib.org/lapack/lug/node124.html
#endif
        {
            matrix_assign<scalar_assign> (*this, ae);
        }

// Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return size1_;
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const {
            return size2_;
        }
        BOOST_UBLAS_INLINE
        size_type lower () const {
            return lower_;
        }
        BOOST_UBLAS_INLINE
        size_type upper () const {
            return upper_;
        }

// Storage accessors
        BOOST_UBLAS_INLINE
        const array_type &data () const {
            return data_;
        }
        BOOST_UBLAS_INLINE
        array_type &data () {
            return data_;
        }

#if !defined (BOOST_UBLAS_OWN_BANDED)||(BOOST_UBLAS_LEGACY_BANDED)
        BOOST_UBLAS_INLINE
        bool is_element_in_band(size_type i, size_type j) const{
            //return (upper_+i >= j) && i <= std::min(size1() - 1, j + lower_); // We don't need to check if i is outside because it is checked anyway in the accessors.
            return (upper_+i >= j) && i <= ( j + lower_); // Essentially this band has "infinite" positive dimensions
        }
#endif
        // Resizing
        BOOST_UBLAS_INLINE
        void resize (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0, bool preserve = true) {
            if (preserve) {
                self_type temporary (size1, size2, lower, upper);
                detail::matrix_resize_preserve<layout_type> (*this, temporary);
            }
            else {
                data ().resize ((std::max) (size1, size2) * (lower + 1 + upper));
                size1_ = size1;
                size2_ = size2;
                lower_ = lower;
                upper_ = upper;
            }
        }

BOOST_UBLAS_INLINE
        void resize_packed_preserve (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0) {
            size1_ = size1;
            size2_ = size2;
            lower_ = lower;
            upper_ = upper;
            data ().resize ((std::max) (size1, size2) * (lower + 1 + upper), value_type ());
        }

// Element access
        BOOST_UBLAS_INLINE
        const_reference operator () (size_type i, size_type j) const {
            BOOST_UBLAS_CHECK (i < size1_, bad_index ());
            BOOST_UBLAS_CHECK (j < size2_, bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
            const size_type k = (std::max) (i, j);
            const size_type l = lower_ + j - i;
            if (k < (std::max) (size1_, size2_) && // TODO: probably use BOOST_UBLAS_CHECK here instead of if
                l < lower_ + 1 + upper_)
                return data () [layout_type::element (k, (std::max) (size1_, size2_),
                                                       l, lower_ + 1 + upper_)];
#elif BOOST_UBLAS_LEGACY_BANDED // Prior to version: TODO: add version this is actually incorporated in
            const size_type k = j;
            const size_type l = upper_ + i - j;
            if (k < size2_ &&
                l < lower_ + 1 + upper_)
                return data () [layout_type::element (k, size2_,
                                                       l, lower_ + 1 + upper_)];
#else  // New default
            // This is the netlib layout as described here: http://www.netlib.org/lapack/lug/node124.html
            if ( is_element_in_band( i, j) ) {
                return data () [hidden::banded_indexing<orientation_category>::get_index(size1_, size2_, lower_, upper_, i, j)];
            }
#endif
            return zero_;
        }

BOOST_UBLAS_INLINE
        reference at_element (size_type i, size_type j) {
            BOOST_UBLAS_CHECK (i < size1_, bad_index ());
            BOOST_UBLAS_CHECK (j < size2_, bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
            const size_type k = (std::max) (i, j);
            const size_type l = lower_ + j - i; // TODO: Don't we need an if or BOOST_UBLAS_CHECK HERE?
            return data () [layout_type::element (k, (std::max) (size1_, size2_),
                                                   l, lower_ + 1 + upper_)];
#elif BOOST_UBLAS_LEGACY_BANDED // Prior to version: TODO: add version this is actually incorporated in
            const size_type k = j;
            const size_type l = upper_ + i - j;
            if (! (k < size2_ &&
                   l < lower_ + 1 + upper_) ) {
                bad_index ().raise ();
                // NEVER reached
            }
            return data () [layout_type::element (k, size2_,
                                                       l, lower_ + 1 + upper_)];
#else
            // This is the netlib layout as described here: http://www.netlib.org/lapack/lug/node124.html
            BOOST_UBLAS_CHECK(is_element_in_band( i, j) , bad_index());
            return data () [hidden::banded_indexing<orientation_category>::get_index(size1_, size2_, lower_, upper_, i, j)];
#endif
        }
        BOOST_UBLAS_INLINE
        reference operator () (size_type i, size_type j) {
            BOOST_UBLAS_CHECK (i < size1_, bad_index ());
            BOOST_UBLAS_CHECK (j < size2_, bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
            const size_type k = (std::max) (i, j);
            const size_type l = lower_ + j - i;
            if (! (k < (std::max) (size1_, size2_) && // TODO: probably use BOOST_UBLAS_CHECK here instead of if
                  l < lower_ + 1 + upper_) ) {
                bad_index ().raise ();
                // NEVER reached
            }
            return data () [layout_type::element (k, (std::max) (size1_, size2_),
                                                       l, lower_ + 1 + upper_)];
#elif BOOST_UBLAS_LEGACY_BANDED // Prior to version: TODO: add version this is actually incorporated in
            const size_type k = j;
            const size_type l = upper_ + i - j;
            if (! (k < size2_ &&
                   l < lower_ + 1 + upper_) ) {
                bad_index ().raise ();
                // NEVER reached
            }
            return data () [layout_type::element (k, size2_,
                                                       l, lower_ + 1 + upper_)];
#else
            // This is the netlib layout as described here: http://www.netlib.org/lapack/lug/node124.html
            BOOST_UBLAS_CHECK( is_element_in_band( i, j) , bad_index());
            return data () [hidden::banded_indexing<orientation_category>::get_index(size1_, size2_, lower_, upper_, i, j)];
#endif

}

// Element assignment
        BOOST_UBLAS_INLINE
        reference insert_element (size_type i, size_type j, const_reference t) {
            return (operator () (i, j) = t);
        }
        BOOST_UBLAS_INLINE
        void erase_element (size_type i, size_type j) {
            operator () (i, j) = value_type/*zero*/();
        }

// Zeroing
        BOOST_UBLAS_INLINE
        void clear () {
            std::fill (data ().begin (), data ().end (), value_type/*zero*/());
        }

// Assignment
        BOOST_UBLAS_INLINE
        banded_matrix &operator = (const banded_matrix &m) {
            size1_ = m.size1_;
            size2_ = m.size2_;
            lower_ = m.lower_;
            upper_ = m.upper_;
            data () = m.data ();
            return *this;
        }
        BOOST_UBLAS_INLINE
        banded_matrix &assign_temporary (banded_matrix &m) {
            swap (m);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix &operator = (const matrix_expression<AE> &ae) {
            self_type temporary (ae, lower_, upper_);
            return assign_temporary (temporary);
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix &assign (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix& operator += (const matrix_expression<AE> &ae) {
            self_type temporary (*this + ae, lower_, upper_);
            return assign_temporary (temporary);
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix &plus_assign (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_plus_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix& operator -= (const matrix_expression<AE> &ae) {
            self_type temporary (*this - ae, lower_, upper_);
            return assign_temporary (temporary);
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_matrix &minus_assign (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_minus_assign> (*this, ae);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        banded_matrix& operator *= (const AT &at) {
            matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        banded_matrix& operator /= (const AT &at) {
            matrix_assign_scalar<scalar_divides_assign> (*this, at);
            return *this;
        }

// Swapping
        BOOST_UBLAS_INLINE
        void swap (banded_matrix &m) {
            if (this != &m) {
                std::swap (size1_, m.size1_);
                std::swap (size2_, m.size2_);
                std::swap (lower_, m.lower_);
                std::swap (upper_, m.upper_);
                data ().swap (m.data ());
            }
        }
        BOOST_UBLAS_INLINE
        friend void swap (banded_matrix &m1, banded_matrix &m2) {
            m1.swap (m2);
        }

// Iterator types
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
        typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
        typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
#else
        class const_iterator1;
        class iterator1;
        class const_iterator2;
        class iterator2;
#endif
        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
        typedef reverse_iterator_base2<iterator2> reverse_iterator2;

// Element lookup
        BOOST_UBLAS_INLINE
        const_iterator1 find1 (int rank, size_type i, size_type j) const {
            if (rank == 1) {
                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
                i = (std::max) (i, lower_i);
                size_type upper_i = (std::min) (j + 1 + lower_, size1_);
                i = (std::min) (i, upper_i);
            }
            return const_iterator1 (*this, i, j);
        }
        BOOST_UBLAS_INLINE
        iterator1 find1 (int rank, size_type i, size_type j) {
            if (rank == 1) {
                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
                i = (std::max) (i, lower_i);
                size_type upper_i = (std::min) (j + 1 + lower_, size1_);
                i = (std::min) (i, upper_i);
            }
            return iterator1 (*this, i, j);
        }
        BOOST_UBLAS_INLINE
        const_iterator2 find2 (int rank, size_type i, size_type j) const {
            if (rank == 1) {
                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
                j = (std::max) (j, lower_j);
                size_type upper_j = (std::min) (i + 1 + upper_, size2_);
                j = (std::min) (j, upper_j);
            }
            return const_iterator2 (*this, i, j);
        }
        BOOST_UBLAS_INLINE
        iterator2 find2 (int rank, size_type i, size_type j) {
            if (rank == 1) {
                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
                j = (std::max) (j, lower_j);
                size_type upper_j = (std::min) (i + 1 + upper_, size2_);
                j = (std::min) (j, upper_j);
            }
            return iterator2 (*this, i, j);
        }

// Iterators simply are indices.

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator1:
            public container_const_reference<banded_matrix>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               const_iterator1, value_type> {
        public:
            typedef typename banded_matrix::value_type value_type;
            typedef typename banded_matrix::difference_type difference_type;
            typedef typename banded_matrix::const_reference reference;
            typedef const typename banded_matrix::pointer pointer;

typedef const_iterator2 dual_iterator_type;
            typedef const_reverse_iterator2 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator1 ():
                container_const_reference<self_type> (), it1_ (), it2_ () {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const self_type &m, size_type it1, size_type it2):
                container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const iterator1 &it):
                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}

// Arithmetic
            BOOST_UBLAS_INLINE
            const_iterator1 &operator ++ () {
                ++ it1_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator -- () {
                -- it1_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator += (difference_type n) {
                it1_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator -= (difference_type n) {
                it1_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
                return it1_ - it.it1_;
            }

// Dereference
            BOOST_UBLAS_INLINE
            const_reference operator * () const {
                return (*this) () (it1_, it2_);
            }
            BOOST_UBLAS_INLINE
            const_reference operator [] (difference_type n) const {
                return *(*this + n);
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 begin () const {
                return (*this) ().find2 (1, it1_, 0);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 cbegin () const {
                return begin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 end () const {
                return (*this) ().find2 (1, it1_, (*this) ().size2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 cend () const {
                return end ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 rbegin () const {
                return const_reverse_iterator2 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 crbegin () const {
                return rbegin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 rend () const {
                return const_reverse_iterator2 (begin ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 crend () const {
                return rend ();
            }
#endif

// Indices
            BOOST_UBLAS_INLINE
            size_type index1 () const {
                return it1_;
            }
            BOOST_UBLAS_INLINE
            size_type index2 () const {
                return it2_;
            }

// Assignment
            BOOST_UBLAS_INLINE
            const_iterator1 &operator = (const const_iterator1 &it) {
                container_const_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                it2_ = it.it2_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
                return it1_ == it.it1_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
                return it1_ < it.it1_;
            }

private:
            size_type it1_;
            size_type it2_;
        };
#endif

BOOST_UBLAS_INLINE
        const_iterator1 begin1 () const {
            return find1 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator1 cbegin1 () const {
            return begin1 ();
        }
        BOOST_UBLAS_INLINE
        const_iterator1 end1 () const {
            return find1 (0, size1_, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator1 cend1 () const {
            return end1 ();
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class iterator1:
            public container_reference<banded_matrix>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               iterator1, value_type> {
        public:
            typedef typename banded_matrix::value_type value_type;
            typedef typename banded_matrix::difference_type difference_type;
            typedef typename banded_matrix::reference reference;
            typedef typename banded_matrix::pointer pointer;

typedef iterator2 dual_iterator_type;
            typedef reverse_iterator2 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            iterator1 ():
                container_reference<self_type> (), it1_ (), it2_ () {}
            BOOST_UBLAS_INLINE
            iterator1 (self_type &m, size_type it1, size_type it2):
                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}

// Arithmetic
            BOOST_UBLAS_INLINE
            iterator1 &operator ++ () {
                ++ it1_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator1 &operator -- () {
                -- it1_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator1 &operator += (difference_type n) {
                it1_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator1 &operator -= (difference_type n) {
                it1_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
                return it1_ - it.it1_;
            }

// Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                return (*this) ().at_element (it1_, it2_);
            }
            BOOST_UBLAS_INLINE
            reference operator [] (difference_type n) const {
                return *(*this + n);
            }

BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator2 rbegin () const {
                return reverse_iterator2 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator2 rend () const {
                return reverse_iterator2 (begin ());
            }
#endif

// Assignment
            BOOST_UBLAS_INLINE
            iterator1 &operator = (const iterator1 &it) {
                container_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                it2_ = it.it2_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
                return it1_ == it.it1_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
                return it1_ < it.it1_;
            }

private:
            size_type it1_;
            size_type it2_;

friend class const_iterator1;
        };
#endif

BOOST_UBLAS_INLINE
        iterator1 begin1 () {
            return find1 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        iterator1 end1 () {
            return find1 (0, size1_, 0);
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator2:
            public container_const_reference<banded_matrix>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               const_iterator2, value_type> {
        public:
            typedef typename banded_matrix::value_type value_type;
            typedef typename banded_matrix::difference_type difference_type;
            typedef typename banded_matrix::const_reference reference;
            typedef const typename banded_matrix::pointer pointer;

typedef const_iterator1 dual_iterator_type;
            typedef const_reverse_iterator1 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator2 ():
                container_const_reference<self_type> (), it1_ (), it2_ () {}
            BOOST_UBLAS_INLINE
            const_iterator2 (const self_type &m, size_type it1, size_type it2):
                container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
            BOOST_UBLAS_INLINE
            const_iterator2 (const iterator2 &it):
                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}

// Arithmetic
            BOOST_UBLAS_INLINE
            const_iterator2 &operator ++ () {
                ++ it2_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator2 &operator -- () {
                -- it2_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator2 &operator += (difference_type n) {
                it2_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator2 &operator -= (difference_type n) {
                it2_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ - it.it2_;
            }

BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 rbegin () const {
                return const_reverse_iterator1 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 crbegin () const {
                return rbegin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 rend () const {
                return const_reverse_iterator1 (begin ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 crend () const {
                return rend ();
            }
#endif

// Assignment
            BOOST_UBLAS_INLINE
            const_iterator2 &operator = (const const_iterator2 &it) {
                container_const_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                it2_ = it.it2_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ == it.it2_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ < it.it2_;
            }

private:
            size_type it1_;
            size_type it2_;
        };
#endif

BOOST_UBLAS_INLINE
        const_iterator2 begin2 () const {
            return find2 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator2 cbegin2 () const {
            return begin2 ();
        }
        BOOST_UBLAS_INLINE
        const_iterator2 end2 () const {
            return find2 (0, 0, size2_);
        }
        BOOST_UBLAS_INLINE
        const_iterator2 cend2 () const {
            return end2 ();
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class iterator2:
            public container_reference<banded_matrix>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               iterator2, value_type> {
        public:
            typedef typename banded_matrix::value_type value_type;
            typedef typename banded_matrix::difference_type difference_type;
            typedef typename banded_matrix::reference reference;
            typedef typename banded_matrix::pointer pointer;

typedef iterator1 dual_iterator_type;
            typedef reverse_iterator1 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            iterator2 ():
                container_reference<self_type> (), it1_ (), it2_ () {}
            BOOST_UBLAS_INLINE
            iterator2 (self_type &m, size_type it1, size_type it2):
                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}

// Arithmetic
            BOOST_UBLAS_INLINE
            iterator2 &operator ++ () {
                ++ it2_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator2 &operator -- () {
                -- it2_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator2 &operator += (difference_type n) {
                it2_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator2 &operator -= (difference_type n) {
                it2_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ - it.it2_;
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator1 begin () const {
                return (*this) ().find1 (1, 0, it2_);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator1 end () const {
                return (*this) ().find1 (1, (*this) ().size1 (), it2_);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator1 rbegin () const {
                return reverse_iterator1 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator1 rend () const {
                return reverse_iterator1 (begin ());
            }
#endif

// Assignment
            BOOST_UBLAS_INLINE
            iterator2 &operator = (const iterator2 &it) {
                container_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                it2_ = it.it2_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ == it.it2_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ < it.it2_;
            }

private:
            size_type it1_;
            size_type it2_;

friend class const_iterator2;
        };
#endif

BOOST_UBLAS_INLINE
        iterator2 begin2 () {
            return find2 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        iterator2 end2 () {
            return find2 (0, 0, size2_);
        }

// Reverse iterators

BOOST_UBLAS_INLINE
        const_reverse_iterator1 rbegin1 () const {
            return const_reverse_iterator1 (end1 ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator1 crbegin1 () const {
            return rbegin1 ();
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator1 rend1 () const {
            return const_reverse_iterator1 (begin1 ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator1 crend1 () const {
            return rend1 ();
        }

BOOST_UBLAS_INLINE
        reverse_iterator1 rbegin1 () {
            return reverse_iterator1 (end1 ());
        }
        BOOST_UBLAS_INLINE
        reverse_iterator1 rend1 () {
            return reverse_iterator1 (begin1 ());
        }

BOOST_UBLAS_INLINE
        const_reverse_iterator2 rbegin2 () const {
            return const_reverse_iterator2 (end2 ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator2 crbegin2 () const {
            return rbegin2 ();
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator2 rend2 () const {
            return const_reverse_iterator2 (begin2 ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator2 crend2 () const {
            return rend2 ();
        }

BOOST_UBLAS_INLINE
        reverse_iterator2 rbegin2 () {
            return reverse_iterator2 (end2 ());
        }
        BOOST_UBLAS_INLINE
        reverse_iterator2 rend2 () {
            return reverse_iterator2 (begin2 ());
        }

private:
        size_type size1_;
        size_type size2_;
        size_type lower_;
        size_type upper_;
        array_type data_;
        typedef const value_type const_value_type;
        static const_value_type zero_;
    };

template<class T, class L, class A>
    typename banded_matrix<T, L, A>::const_value_type banded_matrix<T, L, A>::zero_ = value_type/*zero*/();

/** \brief A diagonal matrix of values of type \c T, which is a specialization of a banded matrix
     *
     * For a \f$(m\times m)\f$-dimensional diagonal matrix, \f$0 \leq i < m\f$ and \f$0 \leq j < m\f$, 
     * if \f$i\neq j\f$ then \f$b_{i,j}=0\f$. The default storage for diagonal matrices is packed. 
     * Orientation and storage can also be specified. Default is \c row major \c unbounded_array. 
     *
     * As a specialization of a banded matrix, the constructor of the diagonal matrix creates 
     * a banded matrix with 0 upper and lower diagonals around the main diagonal and the matrix is 
     * obviously a square matrix. Operations are optimized based on these 2 assumptions. It is 
     * \b not required by the storage to initialize elements of the matrix.  
     *
     * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
     * \tparam L the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major
     * \tparam A the type of Storage array. Default is \c unbounded_array
     */
    template<class T, class L, class A>
    class diagonal_matrix:
        public banded_matrix<T, L, A> {
    public:
        typedef typename A::size_type size_type;
        typedef banded_matrix<T, L, A> matrix_type;
        typedef A array_type;

// Construction and destruction
        BOOST_UBLAS_INLINE
        diagonal_matrix ():
            matrix_type () {}
        BOOST_UBLAS_INLINE
        diagonal_matrix (size_type size):
            matrix_type (size, size) {}
        BOOST_UBLAS_INLINE
        diagonal_matrix (size_type size, const array_type& data):
            matrix_type (size, size, 0, 0, data) {}
        BOOST_UBLAS_INLINE
        diagonal_matrix (size_type size1, size_type size2):
            matrix_type (size1, size2) {}
        template<class AE>
        BOOST_UBLAS_INLINE
        diagonal_matrix (const matrix_expression<AE> &ae):
            matrix_type (ae) {}
        BOOST_UBLAS_INLINE
        ~diagonal_matrix () {}

// Assignment
        BOOST_UBLAS_INLINE
        diagonal_matrix &operator = (const diagonal_matrix &m) {
            matrix_type::operator = (m);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        diagonal_matrix &operator = (const matrix_expression<AE> &ae) {
            matrix_type::operator = (ae);
            return *this;
        }
    };

/** \brief A banded matrix adaptator: convert a any matrix into a banded matrix expression
     *
     * For a \f$(m\times n)\f$-dimensional matrix, the \c banded_adaptor will provide a banded matrix
     * with \f$l\f$ lower and \f$u\f$ upper diagonals and \f$0 \leq i < m\f$ and \f$0 \leq j < n\f$,
     * if \f$i>j+l\f$ or \f$i<j-u\f$ then \f$b_{i,j}=0\f$. 
     *
     * Storage and location are based on those of the underlying matrix. This is important because
     * a \c banded_adaptor does not copy the matrix data to a new place. Therefore, modifying values
     * in a \c banded_adaptor matrix will also modify the underlying matrix too.
     *
     * \tparam M the type of matrix used to generate a banded matrix
     */
    template<class M>
    class banded_adaptor:
        public matrix_expression<banded_adaptor<M> > {

typedef banded_adaptor<M> self_type;

public:
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
        using matrix_expression<self_type>::operator ();
#endif
        typedef const M const_matrix_type;
        typedef M matrix_type;
        typedef typename M::size_type size_type;
        typedef typename M::difference_type difference_type;
        typedef typename M::value_type value_type;
        typedef typename M::const_reference const_reference;
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_reference,
                                          typename M::reference>::type reference;
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_closure_type,
                                          typename M::closure_type>::type matrix_closure_type;
        typedef const self_type const_closure_type;
        typedef self_type closure_type;
        // Replaced by _temporary_traits to avoid type requirements on M
        //typedef typename M::vector_temporary_type vector_temporary_type;
        //typedef typename M::matrix_temporary_type matrix_temporary_type;
        typedef typename storage_restrict_traits<typename M::storage_category,
                                                 packed_proxy_tag>::storage_category storage_category;
        typedef typename M::orientation_category orientation_category;

// Construction and destruction
        BOOST_UBLAS_INLINE
        banded_adaptor (matrix_type &data, size_type lower = 0, size_type upper = 0):
            matrix_expression<self_type> (),
            data_ (data), lower_ (lower), upper_ (upper) {}
        BOOST_UBLAS_INLINE
        banded_adaptor (const banded_adaptor &m):
            matrix_expression<self_type> (),
            data_ (m.data_), lower_ (m.lower_), upper_ (m.upper_) {}

// Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return data_.size1 ();
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const {
            return data_.size2 ();
        }
        BOOST_UBLAS_INLINE
        size_type lower () const {
            return lower_;
        }
        BOOST_UBLAS_INLINE
        size_type upper () const {
            return upper_;
        }

// Storage accessors
        BOOST_UBLAS_INLINE
        const matrix_closure_type &data () const {
            return data_;
        }
        BOOST_UBLAS_INLINE
        matrix_closure_type &data () {
            return data_;
        }

// Element access
#ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
        BOOST_UBLAS_INLINE
        const_reference operator () (size_type i, size_type j) const {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
            size_type k = (std::max) (i, j);
            size_type l = lower_ + j - i;
            if (k < (std::max) (size1 (), size2 ()) &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#elif BOOST_UBLAS_LEGACY_BANDED
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#else
            if (is_element_in_band( i, j))
                return data () (i, j);
#endif
            return zero_;
        }
        BOOST_UBLAS_INLINE
        reference operator () (size_type i, size_type j) {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
            size_type k = (std::max) (i, j);
            size_type l = lower_ + j - i;
            if (k < (std::max) (size1 (), size2 ()) &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#elif BOOST_UBLAS_LEGACY_BANDED
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#else
            if (is_element_in_band( i, j))
                return data () (i, j);
#endif
#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
            bad_index ().raise ();
#endif
            return const_cast<reference>(zero_);
        }
#else
        BOOST_UBLAS_INLINE
        reference operator () (size_type i, size_type j) const {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
            size_type k = (std::max) (i, j);
            size_type l = lower_ + j - i;
            if (k < (std::max) (size1 (), size2 ()) &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#elif BOOST_UBLAS_LEGACY_BANDED
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#else
            if (is_element_in_band( i, j))
                return data () (i, j);
#endif
#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
            bad_index ().raise ();
#endif
            return const_cast<reference>(zero_);
        }
#endif

// Assignment
        BOOST_UBLAS_INLINE
        banded_adaptor &operator = (const banded_adaptor &m) {
            matrix_assign<scalar_assign> (*this, m);
            return *this;
        }
        BOOST_UBLAS_INLINE
        banded_adaptor &assign_temporary (banded_adaptor &m) {
            *this = m;
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_adaptor &operator = (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_assign> (*this, matrix<value_type> (ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_adaptor &assign (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_adaptor& operator += (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_assign> (*this, matrix<value_type> (*this + ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_adaptor &plus_assign (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_plus_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_adaptor& operator -= (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_assign> (*this, matrix<value_type> (*this - ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_adaptor &minus_assign (const matrix_expression<AE> &ae) {
            matrix_assign<scalar_minus_assign> (*this, ae);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        banded_adaptor& operator *= (const AT &at) {
            matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        banded_adaptor& operator /= (const AT &at) {
            matrix_assign_scalar<scalar_divides_assign> (*this, at);
            return *this;
        }

// Closure comparison
        BOOST_UBLAS_INLINE
        bool same_closure (const banded_adaptor &ba) const {
            return (*this).data ().same_closure (ba.data ());
        }

// Swapping
        BOOST_UBLAS_INLINE
        void swap (banded_adaptor &m) {
            if (this != &m) {
                BOOST_UBLAS_CHECK (lower_ == m.lower_, bad_size ());
                BOOST_UBLAS_CHECK (upper_ == m.upper_, bad_size ());
                matrix_swap<scalar_swap> (*this, m);
            }
        }
        BOOST_UBLAS_INLINE
        friend void swap (banded_adaptor &m1, banded_adaptor &m2) {
            m1.swap (m2);
        }

// Iterator types
    private:
        // Use the matrix iterator
        typedef typename M::const_iterator1 const_subiterator1_type;
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_iterator1,
                                          typename M::iterator1>::type subiterator1_type;
        typedef typename M::const_iterator2 const_subiterator2_type;
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_iterator2,
                                          typename M::iterator2>::type subiterator2_type;

public:
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
        typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
        typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
#else
        class const_iterator1;
        class iterator1;
        class const_iterator2;
        class iterator2;
#endif
        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
        typedef reverse_iterator_base2<iterator2> reverse_iterator2;

// Element lookup
        BOOST_UBLAS_INLINE
        const_iterator1 find1 (int rank, size_type i, size_type j) const {
            if (rank == 1) {
                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
                i = (std::max) (i, lower_i);
                size_type upper_i = (std::min) (j + 1 + lower_, size1 ());
                i = (std::min) (i, upper_i);
            }
            return const_iterator1 (*this, data ().find1 (rank, i, j));
        }
        BOOST_UBLAS_INLINE
        iterator1 find1 (int rank, size_type i, size_type j) {
            if (rank == 1) {
                size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0));
                i = (std::max) (i, lower_i);
                size_type upper_i = (std::min) (j + 1 + lower_, size1 ());
                i = (std::min) (i, upper_i);
            }
            return iterator1 (*this, data ().find1 (rank, i, j));
        }
        BOOST_UBLAS_INLINE
        const_iterator2 find2 (int rank, size_type i, size_type j) const {
            if (rank == 1) {
                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
                j = (std::max) (j, lower_j);
                size_type upper_j = (std::min) (i + 1 + upper_, size2 ());
                j = (std::min) (j, upper_j);
            }
            return const_iterator2 (*this, data ().find2 (rank, i, j));
        }
        BOOST_UBLAS_INLINE
        iterator2 find2 (int rank, size_type i, size_type j) {
            if (rank == 1) {
                size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0));
                j = (std::max) (j, lower_j);
                size_type upper_j = (std::min) (i + 1 + upper_, size2 ());
                j = (std::min) (j, upper_j);
            }
            return iterator2 (*this, data ().find2 (rank, i, j));
        }

// Iterators simply are indices.

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator1:
            public container_const_reference<banded_adaptor>,
            public random_access_iterator_base<typename iterator_restrict_traits<
                                                   typename const_subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
                                               const_iterator1, value_type> {
        public:
            typedef typename const_subiterator1_type::value_type value_type;
            typedef typename const_subiterator1_type::difference_type difference_type;
            typedef typename const_subiterator1_type::reference reference;
            typedef typename const_subiterator1_type::pointer pointer;

typedef const_iterator2 dual_iterator_type;
            typedef const_reverse_iterator2 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator1 ():
                container_const_reference<self_type> (), it1_ () {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const self_type &m, const const_subiterator1_type &it1):
                container_const_reference<self_type> (m), it1_ (it1) {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const iterator1 &it):
                container_const_reference<self_type> (it ()), it1_ (it.it1_) {}

// Dereference
            BOOST_UBLAS_INLINE
            const_reference operator * () const {
                size_type i = index1 ();
                size_type j = index2 ();
                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
                size_type k = (std::max) (i, j);
                size_type l = (*this) ().lower () + j - i;
                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it1_;
#else
                size_type k = j;
                size_type l = (*this) ().upper () + i - j;
                if (k < (*this) ().size2 () &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it1_;
#endif
                return (*this) () (i, j);
            }
            BOOST_UBLAS_INLINE
            const_reference operator [] (difference_type n) const {
                return *(*this + n);
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 begin () const {
                return (*this) ().find2 (1, index1 (), 0);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 cbegin () const {
                return begin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 end () const {
                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator2 cend () const {
                return end ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 rbegin () const {
                return const_reverse_iterator2 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 crbegin () const {
                return rbegin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 rend () const {
                return const_reverse_iterator2 (begin ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator2 crend () const {
                return rend ();
            }
#endif

// Indices
            BOOST_UBLAS_INLINE
            size_type index1 () const {
                return it1_.index1 ();
            }
            BOOST_UBLAS_INLINE
            size_type index2 () const {
                return it1_.index2 ();
            }

// Assignment
            BOOST_UBLAS_INLINE
            const_iterator1 &operator = (const const_iterator1 &it) {
                container_const_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it1_ == it.it1_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it1_ < it.it1_;
            }

private:
            const_subiterator1_type it1_;
        };
#endif

BOOST_UBLAS_INLINE
        const_iterator1 begin1 () const {
            return find1 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator1 cbegin1 () const {
            return begin1 ();
        }
        BOOST_UBLAS_INLINE
        const_iterator1 end1 () const {
            return find1 (0, size1 (), 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator1 cend1 () const {
            return end1 ();
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class iterator1:
            public container_reference<banded_adaptor>,
            public random_access_iterator_base<typename iterator_restrict_traits<
                                                   typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
                                               iterator1, value_type> {
        public:
            typedef typename subiterator1_type::value_type value_type;
            typedef typename subiterator1_type::difference_type difference_type;
            typedef typename subiterator1_type::reference reference;
            typedef typename subiterator1_type::pointer pointer;

typedef iterator2 dual_iterator_type;
            typedef reverse_iterator2 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            iterator1 ():
                container_reference<self_type> (), it1_ () {}
            BOOST_UBLAS_INLINE
            iterator1 (self_type &m, const subiterator1_type &it1):
                container_reference<self_type> (m), it1_ (it1) {}

// Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                size_type i = index1 ();
                size_type j = index2 ();
                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
                size_type k = (std::max) (i, j);
                size_type l = (*this) ().lower () + j - i;
                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it1_;
#else
                size_type k = j;
                size_type l = (*this) ().upper () + i - j;
                if (k < (*this) ().size2 () &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it1_;
#endif
                return (*this) () (i, j);
            }
            BOOST_UBLAS_INLINE
            reference operator [] (difference_type n) const {
                return *(*this + n);
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator2 begin () const {
                return (*this) ().find2 (1, index1 (), 0);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator2 end () const {
                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator2 rbegin () const {
                return reverse_iterator2 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator2 rend () const {
                return reverse_iterator2 (begin ());
            }
#endif

// Assignment
            BOOST_UBLAS_INLINE
            iterator1 &operator = (const iterator1 &it) {
                container_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it1_ == it.it1_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it1_ < it.it1_;
            }

private:
            subiterator1_type it1_;

friend class const_iterator1;
        };
#endif

BOOST_UBLAS_INLINE
        iterator1 begin1 () {
            return find1 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        iterator1 end1 () {
            return find1 (0, size1 (), 0);
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator2:
            public container_const_reference<banded_adaptor>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               const_iterator2, value_type> {
        public:
            typedef typename iterator_restrict_traits<typename const_subiterator2_type::iterator_category,
                                                      packed_random_access_iterator_tag>::iterator_category iterator_category;
            typedef typename const_subiterator2_type::value_type value_type;
            typedef typename const_subiterator2_type::difference_type difference_type;
            typedef typename const_subiterator2_type::reference reference;
            typedef typename const_subiterator2_type::pointer pointer;

typedef const_iterator1 dual_iterator_type;
            typedef const_reverse_iterator1 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator2 ():
                container_const_reference<self_type> (), it2_ () {}
            BOOST_UBLAS_INLINE
            const_iterator2 (const self_type &m, const const_subiterator2_type &it2):
                container_const_reference<self_type> (m), it2_ (it2) {}
            BOOST_UBLAS_INLINE
            const_iterator2 (const iterator2 &it):
                container_const_reference<self_type> (it ()), it2_ (it.it2_) {}

// Dereference
            BOOST_UBLAS_INLINE
            const_reference operator * () const {
                size_type i = index1 ();
                size_type j = index2 ();
                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
                size_type k = (std::max) (i, j);
                size_type l = (*this) ().lower () + j - i;
                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it2_;
#else
                size_type k = j;
                size_type l = (*this) ().upper () + i - j;
                if (k < (*this) ().size2 () &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it2_;
#endif
                return (*this) () (i, j);
            }
            BOOST_UBLAS_INLINE
            const_reference operator [] (difference_type n) const {
                return *(*this + n);
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator1 begin () const {
                return (*this) ().find1 (1, 0, index2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator1 cbegin () const {
                return begin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator1 end () const {
                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator1 cend () const {
                return end ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 rbegin () const {
                return const_reverse_iterator1 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 crbegin () const {
                return rbegin ();
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 rend () const {
                return const_reverse_iterator1 (begin ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 crend () const {
                return rend ();
            }
#endif

// Indices
            BOOST_UBLAS_INLINE
            size_type index1 () const {
                return it2_.index1 ();
            }
            BOOST_UBLAS_INLINE
            size_type index2 () const {
                return it2_.index2 ();
            }

// Assignment
            BOOST_UBLAS_INLINE
            const_iterator2 &operator = (const const_iterator2 &it) {
                container_const_reference<self_type>::assign (&it ());
                it2_ = it.it2_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it2_ == it.it2_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it2_ < it.it2_;
            }

private:
            const_subiterator2_type it2_;
        };
#endif

BOOST_UBLAS_INLINE
        const_iterator2 begin2 () const {
            return find2 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator2 cbegin2 () const {
            return begin2 ();
        }
        BOOST_UBLAS_INLINE
        const_iterator2 end2 () const {
            return find2 (0, 0, size2 ());
        }
        BOOST_UBLAS_INLINE
        const_iterator2 cend2 () const {
            return end2 ();
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class iterator2:
            public container_reference<banded_adaptor>,
            public random_access_iterator_base<typename iterator_restrict_traits<
                                                   typename subiterator2_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
                                               iterator2, value_type> {
        public:
            typedef typename subiterator2_type::value_type value_type;
            typedef typename subiterator2_type::difference_type difference_type;
            typedef typename subiterator2_type::reference reference;
            typedef typename subiterator2_type::pointer pointer;

typedef iterator1 dual_iterator_type;
            typedef reverse_iterator1 dual_reverse_iterator_type;

// Construction and destruction
            BOOST_UBLAS_INLINE
            iterator2 ():
                container_reference<self_type> (), it2_ () {}
            BOOST_UBLAS_INLINE
            iterator2 (self_type &m, const subiterator2_type &it2):
                container_reference<self_type> (m), it2_ (it2) {}

// Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                size_type i = index1 ();
                size_type j = index2 ();
                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
#ifdef BOOST_UBLAS_OWN_BANDED
                size_type k = (std::max) (i, j);
                size_type l = (*this) ().lower () + j - i;
                if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it2_;
#else
                size_type k = j;
                size_type l = (*this) ().upper () + i - j;
                if (k < (*this) ().size2 () &&
                    l < (*this) ().lower () + 1 + (*this) ().upper ())
                    return *it2_;
#endif
                return (*this) () (i, j);
            }
            BOOST_UBLAS_INLINE
            reference operator [] (difference_type n) const {
                return *(*this + n);
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator1 begin () const {
                return (*this) ().find1 (1, 0, index2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator1 end () const {
                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator1 rbegin () const {
                return reverse_iterator1 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator1 rend () const {
                return reverse_iterator1 (begin ());
            }
#endif

// Assignment
            BOOST_UBLAS_INLINE
            iterator2 &operator = (const iterator2 &it) {
                container_reference<self_type>::assign (&it ());
                it2_ = it.it2_;
                return *this;
            }

// Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it2_ == it.it2_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it2_ < it.it2_;
            }

private:
            subiterator2_type it2_;

friend class const_iterator2;
        };
#endif

BOOST_UBLAS_INLINE
        iterator2 begin2 () {
            return find2 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        iterator2 end2 () {
            return find2 (0, 0, size2 ());
        }

// Reverse iterators

private:
        matrix_closure_type data_;
        size_type lower_;
        size_type upper_;
        typedef const value_type const_value_type;
        static const_value_type zero_;
    };

// Specialization for temporary_traits
    template <class M>
    struct vector_temporary_traits< banded_adaptor<M> >
    : vector_temporary_traits< M > {} ;
    template <class M>
    struct vector_temporary_traits< const banded_adaptor<M> >
    : vector_temporary_traits< M > {} ;

template <class M>
    struct matrix_temporary_traits< banded_adaptor<M> >
    : matrix_temporary_traits< M > {} ;
    template <class M>
    struct matrix_temporary_traits< const banded_adaptor<M> >
    : matrix_temporary_traits< M > {} ;

template<class M>
    typename banded_adaptor<M>::const_value_type banded_adaptor<M>::zero_ = value_type/*zero*/();

/** \brief A diagonal matrix adaptator: convert a any matrix into a diagonal matrix expression
     *
     * For a \f$(m\times m)\f$-dimensional matrix, the \c diagonal_adaptor will provide a diagonal matrix
     * with \f$0 \leq i < m\f$ and \f$0 \leq j < m\f$, if \f$i\neq j\f$ then \f$b_{i,j}=0\f$. 
     *
     * Storage and location are based on those of the underlying matrix. This is important because
     * a \c diagonal_adaptor does not copy the matrix data to a new place. Therefore, modifying values
     * in a \c diagonal_adaptor matrix will also modify the underlying matrix too.
     *
     * \tparam M the type of matrix used to generate the diagonal matrix
     */

template<class M>
    class diagonal_adaptor:
        public banded_adaptor<M> {
    public:
        typedef M matrix_type;
        typedef banded_adaptor<M> adaptor_type;

// Construction and destruction
        BOOST_UBLAS_INLINE
        diagonal_adaptor ():
            adaptor_type () {}
        BOOST_UBLAS_INLINE
        diagonal_adaptor (matrix_type &data):
            adaptor_type (data) {}
        BOOST_UBLAS_INLINE
        ~diagonal_adaptor () {}

// Assignment
        BOOST_UBLAS_INLINE
        diagonal_adaptor &operator = (const diagonal_adaptor &m) {
            adaptor_type::operator = (m);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        diagonal_adaptor &operator = (const matrix_expression<AE> &ae) {
            adaptor_type::operator = (ae);
            return *this;
        }
    };

}}}

#endif

cmd: