matrix_proxy.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

    template<class M>
    typename matrix_column<M>::matrix_type matrix_column<M>::nil_;

    // Projections
    template<class M>
    BOOST_UBLAS_INLINE
    matrix_column<M> column (M &data, std::size_t j) {
        return matrix_column<M> (data, j);
    }
    template<class M>
    BOOST_UBLAS_INLINE
    matrix_column<const M> column_const (const M &data, std::size_t j) {
        return matrix_column<const M> (data, j);
    }
#ifndef BOOST_NO_FUNCTION_TEMPLATE_ORDERING
    template<class M>
    BOOST_UBLAS_INLINE
    matrix_column<M> column (const M &data, std::size_t j) {
        return matrix_column<M> (const_cast<M &> (data), j);
    }
#endif

    // Matrix based vector range class
    template<class M>
    class matrix_vector_range:
        public vector_expression<matrix_vector_range<M> > {
    public:
#ifndef BOOST_UBLAS_NO_PROXY_SHORTCUTS
        BOOST_UBLAS_USING vector_expression<matrix_vector_range<M> >::operator ();
#endif
        typedef const M const_matrix_type;
        typedef M matrix_type;
        typedef typename M::simd_category simd_category;
        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;
        typedef typename M::const_pointer const_pointer;
        typedef typename M::pointer pointer;
#else
        typedef typename M::const_reference const_reference;
        typedef typename boost::mpl::if_c<boost::is_const<M>::value,
                                          typename M::const_reference,
                                          typename M::reference>::type reference;
        typedef typename M::const_pointer const_pointer;
        typedef typename boost::mpl::if_c<boost::is_const<M>::value,
                                          typename M::const_pointer,
                                          typename M::pointer>::type pointer;
#endif
#ifndef BOOST_UBLAS_CT_PROXY_CLOSURE_TYPEDEFS
        typedef typename M::closure_type matrix_closure_type;
#else
        typedef typename boost::mpl::if_c<boost::is_const<M>::value,
                                          typename M::const_closure_type,
                                          typename M::closure_type>::type matrix_closure_type;
#endif
        typedef const matrix_vector_range<matrix_type> const_self_type;
        typedef matrix_vector_range<matrix_type> self_type;
        typedef const_self_type const_closure_type;
        typedef self_type closure_type;
        typedef range::const_iterator const_iterator1_type;
        typedef range::const_iterator iterator1_type;
        typedef range::const_iterator const_iterator2_type;
        typedef range::const_iterator iterator2_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 ():
            data_ (nil_), r1_ (), r2_ () {}
        BOOST_UBLAS_INLINE
        matrix_vector_range (matrix_type &data, const range &r1, const range &r2):
            data_ (data), r1_ (r1.preprocess (data.size1 ())), r2_ (r2.preprocess (data.size2 ())) {
            // Early checking of preconditions.
            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 ());
        }
        BOOST_UBLAS_INLINE
        const matrix_closure_type &data () const {
            return data_;
        }
        BOOST_UBLAS_INLINE
        matrix_closure_type &data () {
            return data_;
        }

#ifdef BOOST_UBLAS_DEPRECATED
        // Resetting
        BOOST_UBLAS_INLINE
        void reset (matrix_type &data) {
            // data_ = data;
            data_.reset (data);
        }
        BOOST_UBLAS_INLINE
        void reset (matrix_type &data, const range &r1, const range &r2) {
            // data_ = data;
            data_.reset (data);
            r1_ = r1;
            r2_ = r2;
        }
#endif

        // 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) { 
            // FIXME: the ranges could be differently sized.
            // std::copy (mvr.begin (), mvr.end (), begin ());
            vector_assign (scalar_assign<reference, value_type> (), *this, vector<value_type> (mvr));
            return *this;
        }
        BOOST_UBLAS_INLINE
        matrix_vector_range &assign_temporary (matrix_vector_range &mvr) {
            // FIXME: this is suboptimal.
            // return *this = mvr;
            vector_assign (scalar_assign<reference, value_type> (), *this, mvr);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator = (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<reference, value_type> (), *this, vector<value_type> (ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &assign (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator += (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<reference, value_type> (), *this, vector<value_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<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator -= (const vector_expression<AE> &ae) {
            vector_assign (scalar_assign<reference, value_type> (), *this, vector<value_type> (*this - ae));
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        matrix_vector_range &minus_assign (const vector_expression<AE> &ae) {
            vector_assign (scalar_minus_assign<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator *= (const AT &at) {
            vector_assign_scalar (scalar_multiplies_assign<reference, AT> (), *this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        matrix_vector_range &operator /= (const AT &at) {
            vector_assign_scalar (scalar_divides_assign<reference, AT> (), *this, at);
            return *this;
        }

        // Comparison
        BOOST_UBLAS_INLINE
        bool operator == (const matrix_vector_range &mvr) const {
            return (*this).data () == mvr.data () && r1_ == mvr.r1_ && r2_ == mvr.r2_;
        }

        // Swapping
        BOOST_UBLAS_INLINE
        void swap (matrix_vector_range mvr) {
            // Too unusual semantic.
            // BOOST_UBLAS_CHECK (this != &mvr, external_logic ());
            if (this != &mvr) {
                BOOST_UBLAS_CHECK (size () == mvr.size (), bad_size ());
                // Sparse ranges may be nonconformant now.
                // std::swap_ranges (begin (), end (), mvr.begin ());
                vector_swap (scalar_swap<reference, reference> (), *this, mvr);
            }
        }
#ifndef BOOST_UBLAS_NO_MEMBER_FRIENDS
        BOOST_UBLAS_INLINE
        friend void swap (matrix_vector_range mvr1, matrix_vector_range mvr2) {
            mvr1.swap (mvr2);
        }
#endif

        class const_iterator;
        class iterator;

        // Element lookup
        BOOST_UBLAS_INLINE
        const_iterator find (size_type i) const {
            return const_iterator (*this, r1_.begin () + i, r2_.begin () + i);
        }
        BOOST_UBLAS_INLINE
        iterator find (size_type i) {
            return iterator (*this, r1_.begin () + i, r2_.begin () + i);
        }

        // Iterators simply are indices.

        class const_iterator:
            public container_const_reference<matrix_vector_range>,
#ifdef BOOST_UBLAS_USE_ITERATOR_BASE_TRAITS
            public iterator_base_traits<typename iterator_restrict_traits<typename M::const_iterator1::iterator_category,
                                                                          typename M::const_iterator2::iterator_category>::iterator_category>::template
                        iterator_base<const_iterator, value_type>::type {
#else
            public random_access_iterator_base<typename iterator_restrict_traits<typename M::const_iterator1::iterator_category,
                                                                                 typename M::const_iterator2::iterator_category>::iterator_category,
                                               const_iterator, value_type> {
#endif
        public:
            typedef typename iterator_restrict_traits<typename M::const_iterator1::iterator_category,
                                                      typename M::const_iterator2::iterator_category>::iterator_category iterator_category;
#ifdef BOOST_MSVC_STD_ITERATOR
            typedef const_reference reference;
#else
            typedef typename matrix_vector_range::difference_type difference_type;
            typedef typename matrix_vector_range::value_type value_type;
            typedef typename matrix_vector_range::const_reference reference;
            typedef typename matrix_vector_range::const_pointer pointer;
#endif

            // Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator ():
                container_const_reference<self_type> (), it1_ (), it2_ () {}
            BOOST_UBLAS_INLINE
            const_iterator (const self_type &mvr, const const_iterator1_type &it1, const const_iterator2_type &it2):
                container_const_reference<self_type> (mvr), it1_ (it1), it2_ (it2) {}
#ifndef BOOST_UBLAS_QUALIFIED_TYPENAME
            BOOST_UBLAS_INLINE
            const_iterator (const iterator &it):
                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
#else
            BOOST_UBLAS_INLINE
            const_iterator (const typename self_type::iterator &it):
                container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
#endif

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

            // Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                return (*this) ().data () (*it1_, *it2_);
            }

            // Index
            BOOST_UBLAS_INLINE
            size_type  index () const {
                return BOOST_UBLAS_SAME (it1_.index (), it2_.index ());
            }

            // Assignment 
            BOOST_UBLAS_INLINE
            const_iterator &operator = (const const_iterator &it) {
                container_const_reference<self_type>::assign (&it ());
                it1_ = it.it1_;