matrix_proxy.hpp

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

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

            // Index
            BOOST_UBLAS_INLINE
            size_type index () const {
                return it_.index1 ();
            }

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

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

        private:
            const_subiterator_type it_;
        };
#endif

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

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class iterator:
            public container_reference<matrix_column>,
            public iterator_base_traits<typename subiterator_type::iterator_category>::template
                        iterator_base<iterator, value_type>::type {
        public:
            typedef typename subiterator_type::value_type value_type;
            typedef typename subiterator_type::difference_type difference_type;
            typedef typename subiterator_type::reference reference;
            typedef typename subiterator_type::pointer pointer;

            // Construction and destruction
            BOOST_UBLAS_INLINE
            iterator ():
                container_reference<self_type> (), it_ () {}
            BOOST_UBLAS_INLINE
            iterator (self_type &mc, const subiterator_type &it):
                container_reference<self_type> (mc), it_ (it) {}

            // Arithmetic
            BOOST_UBLAS_INLINE
            iterator &operator ++ () {
                ++ 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_.index1 ();
            }

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

    private:
        matrix_closure_type data_;
        size_type j_;
    };

    // Projections
    template<class M>
    BOOST_UBLAS_INLINE
    matrix_column<M> column (M &data, typename M::size_type j) {
        return matrix_column<M> (data, j);
    }
    template<class M>
    BOOST_UBLAS_INLINE
    const matrix_column<const M> column (const M &data, typename M::size_type j) {
        return matrix_column<const M> (data, j);
    }

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

    // Matrix based vector range class
    template<class M>
    class matrix_vector_range:
        public vector_expression<matrix_vector_range<M> > {

        typedef matrix_vector_range<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 basic_range<size_type, difference_type> range_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_vector_range (matrix_type &data, const range_type &r1, const range_type &r2):
            data_ (data), r1_ (r1.preprocess (data.size1 ())), r2_ (r2.preprocess (data.size2 ())) {
            // Early checking of preconditions here.
            // BOOST_UBLAS_CHECK (r1_.start () <= data_.size1 () &&
            //                     r1_.start () + r1_.size () <= data_.size1 (), bad_index ());
            // BOOST_UBLAS_CHECK (r2_.start () <= data_.size2 () &&
            //                   r2_.start () + r2_.size () <= data_.size2 (), bad_index ());
            // BOOST_UBLAS_CHECK (r1_.size () == r2_.size (), bad_size ());
        }

        // Accessors
        BOOST_UBLAS_INLINE
        size_type start1 () const {
            return r1_.start ();
        }
        BOOST_UBLAS_INLINE
        size_type start2 () const {
            return r2_.start ();
        }
        BOOST_UBLAS_INLINE
        size_type size () const {
            return BOOST_UBLAS_SAME (r1_.size (), r2_.size ());
        }

        // 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_ (r1_ (i), r2_ (i));
        }
        BOOST_UBLAS_INLINE
        reference operator () (size_type i) {
            return data_ (r1_ (i), r2_ (i));
        }

        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_ (r1_ (i), r2_ (i));
        }

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

        // Assignment
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator = (const matrix_vector_range &mvr) {
            // ISSUE need a temporary, proxy can be overlaping alias
            vector_assign<scalar_assign> (*this, typename vector_temporary_traits<M>::type (mvr));
            return *this;
        }
        BOOST_UBLAS_INLINE
        matrix_vector_range &assign_temporary (matrix_vector_range &mvr) {
            // assign elements, proxied container remains the same
            vector_assign<scalar_assign> (*this, mvr);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &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_vector_range &assign (const vector_expression<AE> &ae) {
            vector_assign<scalar_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &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_vector_range &plus_assign (const vector_expression<AE> &ae) {
            vector_assign<scalar_plus_assign> (*this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator -= (const vector_expression<AE> &ae) {
            vector_assign<scalar_assign> (*this, typename vector_temporary_traits<M>::type (*this - ae));
            return *this;
        }