matrix_proxy.hpp

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            // 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_iterator_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_row>,
#ifndef BOOST_UBLAS_NO_ITERATOR_BASE_TRAITS
            public iterator_base_traits<typename iterator_type::iterator_category>::template
                        iterator_base<iterator, value_type>::type {
#else
            public random_access_iterator_base<typename iterator_type::iterator_category,
                                               iterator, value_type> {
#endif
        public:
            typedef typename iterator_type::iterator_category iterator_category;
            typedef typename iterator_type::value_type value_type;
            typedef typename iterator_type::difference_type difference_type;
            typedef typename iterator_type::reference reference;
            typedef typename iterator_type::pointer pointer;

            // Construction and destruction
            BOOST_UBLAS_INLINE
            iterator ():
                container_reference<self_type> (), it_ () {}
            BOOST_UBLAS_INLINE
            iterator (self_type &mr, const iterator_type &it):
                container_reference<self_type> (mr), 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_;
            }

            // 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:
            iterator_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

#ifdef BOOST_MSVC_STD_ITERATOR
        typedef reverse_iterator_base<const_iterator, value_type, const_reference> const_reverse_iterator;
#else
        typedef reverse_iterator_base<const_iterator> const_reverse_iterator;
#endif

        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 ());
        }

#ifdef BOOST_MSVC_STD_ITERATOR
        typedef reverse_iterator_base<iterator, value_type, reference> reverse_iterator;
#else
        typedef reverse_iterator_base<iterator> reverse_iterator;
#endif

        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_;
        static matrix_type nil_;
    };

    template<class M>
    typename matrix_row<M>::matrix_type matrix_row<M>::nil_
#ifdef BOOST_UBLAS_STATIC_OLD_INIT
        = BOOST_UBLAS_TYPENAME matrix_row<M>::matrix_type ()
#endif
    ;

    // 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
    matrix_row<const M> row_const (const M &data, typename M::size_type i) {
        return matrix_row<const M> (data, i);
    }
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
    template<class M>
    BOOST_UBLAS_INLINE
    matrix_row<M> row (const M &data, typename M::size_type i) {
        return matrix_row<M> (const_cast<M &> (data), i);
    }
#endif

    // Matrix based column vector class
    template<class M>
    class matrix_column:
        public vector_expression<matrix_column<M> > {
    public:
#ifndef BOOST_UBLAS_NO_PROXY_SHORTCUTS
        BOOST_UBLAS_USING vector_expression<matrix_column<M> >::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;
#ifndef BOOST_UBLAS_CT_PROXY_BASE_TYPEDEFS
        typedef typename M::const_reference const_reference;
        typedef typename M::reference reference;
#else
        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;
#endif
#ifndef BOOST_UBLAS_CT_PROXY_CLOSURE_TYPEDEFS
        typedef typename M::closure_type matrix_closure_type;
#else
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_closure_type,
                                          typename M::closure_type>::type matrix_closure_type;
#endif
    private:
        typedef matrix_column<matrix_type> self_type;
    public:
        typedef const self_type const_closure_type;
        typedef self_type closure_type;
        typedef typename M::vector_temporary_type vector_temporary_type;
        typedef typename storage_restrict_traits<typename M::storage_category,
                                                 dense_proxy_tag>::storage_category storage_category;
        typedef abstract_tag simd_category;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        matrix_column ():
            data_ (nil_), j_ () {}
        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_;
        }
        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) {
            // FIXME: the columns could be differently sized.
            // std::copy (mc.begin (), mc.end (), begin ());
            vector_assign (scalar_assign<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME vector_temporary_type::value_type> (), *this, vector_temporary_type (mc));
            return *this;
        }
        BOOST_UBLAS_INLINE
        matrix_column &assign_temporary (matrix_column &mc) {
            // FIXME: this is suboptimal.
            // return *this = mc;
            vector_assign (scalar_assign<BOOST_UBLAS_TYPENAME iterator::reference, value_type> (), *this, mc);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &operator = (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME vector_temporary_type::value_type> (), *this, vector_temporary_type (ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &assign (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &operator += (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME vector_temporary_type::value_type> (), *this, vector_temporary_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<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_column &operator -= (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME vector_temporary_type::value_type> (), *this, vector_temporary_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<BOOST_UBLAS_TYPENAME iterator::reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        matrix_column &operator *= (const AT &at) {
            vector_assign_scalar (scalar_multiplies_assign<BOOST_UBLAS_TYPENAME iterator::reference, AT> (), *this, at);