banded.hpp

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            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);
#else
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                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);
#else
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                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);
#else
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                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_) {}

            // 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 ());
                return 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 end () const {
                return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
            }
            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 rend () const {
                return const_reverse_iterator2 (begin ());
            }
#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