matrix_proxy.hpp

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                ++ it_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator &operator -- () {
                -- it_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator &operator += (difference_type n) {
                it_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator &operator -= (difference_type n) {
                it_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const iterator &it) const {
                BOOST_UBLAS_CHECK ((*this) ().same_closure  (it ()), external_logic ());
                return it_ - it.it_;
            }

            // Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                BOOST_UBLAS_CHECK (index () < (*this) ().size (), bad_index ());
                return *it_;
            }
            BOOST_UBLAS_INLINE
            reference operator [] (difference_type n) const {
                return *(*this + n);
            }

            // Index
            BOOST_UBLAS_INLINE
            size_type index () const {
                return it_.index2 ();
            }

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

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

        private:
            subiterator_type it_;

            friend class const_iterator;
        };
#endif

        BOOST_UBLAS_INLINE
        iterator begin () {
            return find (0);
        }
        BOOST_UBLAS_INLINE
        iterator end () {
            return find (size ());
        }

        // Reverse iterator
        typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
        typedef reverse_iterator_base<iterator> reverse_iterator;

        BOOST_UBLAS_INLINE
        const_reverse_iterator rbegin () const {
            return const_reverse_iterator (end ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator rend () const {
            return const_reverse_iterator (begin ());
        }
        BOOST_UBLAS_INLINE
        reverse_iterator rbegin () {
            return reverse_iterator (end ());
        }
        BOOST_UBLAS_INLINE
        reverse_iterator rend () {
            return reverse_iterator (begin ());
        }

    private:
        matrix_closure_type data_;
        size_type i_;
    };

    // Projections
    template<class M>
    BOOST_UBLAS_INLINE
    matrix_row<M> row (M &data, typename M::size_type i) {
        return matrix_row<M> (data, i);
    }
    template<class M>
    BOOST_UBLAS_INLINE
    const matrix_row<const M> row (const M &data, typename M::size_type i) {
        return matrix_row<const M> (data, i);
    }

    // Specialize temporary
    template <class M>
    struct vector_temporary_traits< matrix_row<M> >
    : vector_temporary_traits< M > {} ;
    template <class M>
    struct vector_temporary_traits< const matrix_row<M> >
    : vector_temporary_traits< M > {} ;

    // Matrix based column vector class
    template<class M>
    class matrix_column:
        public vector_expression<matrix_column<M> > {

        typedef matrix_column<M> self_type;
    public:
#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
        using vector_expression<self_type>::operator ();
#endif
        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;
        typedef typename storage_restrict_traits<typename M::storage_category,
                                                 dense_proxy_tag>::storage_category storage_category;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        matrix_column (matrix_type &data, size_type j):
            data_ (data), j_ (j) {
            // Early checking of preconditions here.
            // BOOST_UBLAS_CHECK (j_ < data_.size2 (), bad_index ());
        }

        // Accessors
        BOOST_UBLAS_INLINE
        size_type size () const {
            return data_.size1 ();
        }
        BOOST_UBLAS_INLINE
        size_type index () const {
            return j_;
        }

        // 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) const {
            return data_ (i, j_);
        }
        BOOST_UBLAS_INLINE
        reference operator () (size_type i) {
            return data_ (i, j_);
        }

        BOOST_UBLAS_INLINE
        const_reference operator [] (size_type i) const {
            return (*this) (i);
        }
        BOOST_UBLAS_INLINE
        reference operator [] (size_type i) {
            return (*this) (i);
        }
#else
        BOOST_UBLAS_INLINE
        reference operator () (size_type i) const {
            return data_ (i, j_);
        }

        BOOST_UBLAS_INLINE
        reference operator [] (size_type i) const {
            return (*this) (i);
        }
#endif

        // Assignment
        BOOST_UBLAS_INLINE
        matrix_column &operator = (const matrix_column &mc) {
            // ISSUE need a temporary, proxy can be overlaping alias
            vector_assign<scalar_assign> (*this, typename vector_temporary_traits<M>::type (mc));
            return *this;
        }
        BOOST_UBLAS_INLINE
        matrix_column &assign_temporary (matrix_column &mc) {
            // assign elements, proxied container remains the same
            vector_assign<scalar_assign> (*this, mc);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &operator = (const vector_expression<AE> &ae) {
            vector_assign<scalar_assign> (*this, typename vector_temporary_traits<M>::type (ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &assign (const vector_expression<AE> &ae) {
            vector_assign<scalar_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &operator += (const vector_expression<AE> &ae) {
            vector_assign<scalar_assign> (*this, typename vector_temporary_traits<M>::type (*this + ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &plus_assign (const vector_expression<AE> &ae) {
            vector_assign<scalar_plus_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &operator -= (const vector_expression<AE> &ae) {
            vector_assign<scalar_assign> (*this, typename vector_temporary_traits<M>::type (*this - ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &minus_assign (const vector_expression<AE> &ae) {
            vector_assign<scalar_minus_assign> (*this, ae);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        matrix_column &operator *= (const AT &at) {
            vector_assign_scalar<scalar_multiplies_assign> (*this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        matrix_column &operator /= (const AT &at) {
            vector_assign_scalar<scalar_divides_assign> (*this, at);
            return *this;
        }

        // Closure comparison
        BOOST_UBLAS_INLINE
        bool same_closure (const matrix_column &mc) const {
            return (*this).data_.same_closure (mc.data_);
        }

        // Comparison
        BOOST_UBLAS_INLINE
        bool operator == (const matrix_column &mc) const {
            return (*this).data_ == mc.data_ && index () == mc.index ();
        }

        // Swapping
        BOOST_UBLAS_INLINE
        void swap (matrix_column mc) {
            if (this != &mc) {
                BOOST_UBLAS_CHECK (size () == mc.size (), bad_size ());
                // Sparse ranges may be nonconformant now.
                // std::swap_ranges (begin (), end (), mc.begin ());
                vector_swap<scalar_swap> (*this, mc);
            }
        }
        BOOST_UBLAS_INLINE
        friend void swap (matrix_column mc1, matrix_column mc2) {
            mc1.swap (mc2);
        }

        // Iterator types
    private:
        typedef typename M::const_iterator1 const_subiterator_type;
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_iterator1,
                                          typename M::iterator1>::type subiterator_type;

    public:
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
        typedef indexed_iterator<matrix_column<matrix_type>,
                                 typename subiterator_type::iterator_category> iterator;
        typedef indexed_const_iterator<matrix_column<matrix_type>,
                                       typename const_subiterator_type::iterator_category> const_iterator;
#else
        class const_iterator;
        class iterator;
#endif

        // Element lookup
        BOOST_UBLAS_INLINE
        const_iterator find (size_type i) const {
            const_subiterator_type it1 (data_.find1 (1, i, j_));
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
            return const_iterator (*this, it1.index1 ());
#else
            return const_iterator (*this, it1);
#endif
        }
        BOOST_UBLAS_INLINE
        iterator find (size_type i) {
            subiterator_type it1 (data_.find1 (1, i, j_));
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
            return iterator (*this, it1.index1 ());
#else
            return iterator (*this, it1);
#endif
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator:
            public container_const_reference<matrix_column>,
            public iterator_base_traits<typename const_subiterator_type::iterator_category>::template
                        iterator_base<const_iterator, value_type>::type {
        public:
            typedef typename const_subiterator_type::value_type value_type;
            typedef typename const_subiterator_type::difference_type difference_type;
            typedef typename const_subiterator_type::reference reference;
            typedef typename const_subiterator_type::pointer pointer;

            // Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator ():
                container_const_reference<self_type> (), it_ () {}
            BOOST_UBLAS_INLINE
            const_iterator (const self_type &mc, const const_subiterator_type &it):
                container_const_reference<self_type> (mc), it_ (it) {}
            BOOST_UBLAS_INLINE
            const_iterator (const typename self_type::iterator &it):  // ISSUE self_type:: stops VC8 using std::iterator here
                container_const_reference<self_type> (it ()), it_ (it.it_) {}

            // Arithmetic