matrix_expression.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

                return (*this) ().find1 (1, 0, index2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_iterator1 end () const {
                return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 rbegin () const {
                return const_reverse_iterator1 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            const_reverse_iterator1 rend () const {
                return const_reverse_iterator1 (begin ());
            }
#endif

            // Indices
            BOOST_UBLAS_INLINE
            size_type index1 () const {
                return it1_.index ();
            }
            BOOST_UBLAS_INLINE
            size_type  index2 () const {
                return it2_.index ();
            }

            // Assignment
            BOOST_UBLAS_INLINE
            const_iterator2 &operator = (const const_iterator2 &it) {
                container_const_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                it2_ = it.it2_;
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
                t1_ = it.t1_;
#endif
                return *this;
            }

            // Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ == it.it2_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const const_iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ < it.it2_;
            }

        private:
#ifdef BOOST_UBLAS_USE_INVARIANT_HOISTING
            // Mutable due to assignment
            /* const */ const_iterator1_type it1_;
            const_iterator2_type it2_;
            value_type t1_;
#else
            const_iterator1_type it1_;
            const_iterator2_type it2_;
#endif
        };
#endif

        BOOST_UBLAS_INLINE
        const_iterator2 begin2 () const {
            return find2 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator2 end2 () const {
            return find2 (0, 0, size2 ());
        }

        // Reverse iterators

        BOOST_UBLAS_INLINE
        const_reverse_iterator1 rbegin1 () const {
            return const_reverse_iterator1 (end1 ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator1 rend1 () const {
            return const_reverse_iterator1 (begin1 ());
        }

        BOOST_UBLAS_INLINE
        const_reverse_iterator2 rbegin2 () const {
            return const_reverse_iterator2 (end2 ());
        }
        BOOST_UBLAS_INLINE
        const_reverse_iterator2 rend2 () const {
            return const_reverse_iterator2 (begin2 ());
        }

    private:
        expression1_closure_type e1_;
        expression2_closure_type e2_;
    };

    template<class E1, class E2, class F>
    struct vector_matrix_binary_traits {
        typedef vector_matrix_binary<E1, E2, F> expression_type;
#ifdef BOOST_UBLAS_USE_ET
        typedef expression_type result_type; 
#else
        typedef matrix<typename F::result_type> result_type;
#endif
    };

    // (outer_prod (v1, v2)) [i] [j] = v1 [i] * v2 [j]
    template<class E1, class E2>
    BOOST_UBLAS_INLINE
    typename vector_matrix_binary_traits<E1, E2, scalar_multiplies<typename E1::value_type, typename E2::value_type> >::result_type
    outer_prod (const vector_expression<E1> &e1,
                const vector_expression<E2> &e2) {
        BOOST_STATIC_ASSERT (E1::complexity == 0 && E2::complexity == 0);
        typedef BOOST_UBLAS_TYPENAME vector_matrix_binary_traits<E1, E2, scalar_multiplies<BOOST_UBLAS_TYPENAME E1::value_type, BOOST_UBLAS_TYPENAME E2::value_type> >::expression_type expression_type;
        return expression_type (e1 (), e2 ());
    }

    template<class E, class F>
    class matrix_unary1:
        public matrix_expression<matrix_unary1<E, F> > {
    public:
#ifndef BOOST_UBLAS_NO_PROXY_SHORTCUTS
        BOOST_UBLAS_USING matrix_expression<matrix_unary1<E, F> >::operator ();
#endif
        typedef E expression_type;
        typedef F functor_type;
        typedef typename E::size_type size_type;
        typedef typename E::difference_type difference_type;
        typedef typename F::result_type value_type;
        typedef value_type const_reference;
        typedef const_reference reference;
        typedef const value_type *const_pointer;
        typedef const_pointer pointer;
        typedef typename E::const_closure_type expression_closure_type;
        typedef const matrix_unary1<E, F> const_self_type;
        typedef matrix_unary1<E, F> self_type;
        typedef const_self_type const_closure_type;
        typedef const_closure_type closure_type;
        typedef typename E::orientation_category orientation_category;
        typedef typename E::const_iterator1 const_iterator1_type;
        typedef typename E::const_iterator2 const_iterator2_type;
        typedef unknown_storage_tag storage_category;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        matrix_unary1 ():
            e_ () {}
        BOOST_UBLAS_INLINE
        matrix_unary1 (const expression_type &e):
            e_ (e) {}

        // Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return e_.size1 ();
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const {
            return e_.size2 ();
        }
        BOOST_UBLAS_INLINE
        const expression_closure_type &expression () const {
            return e_;
        }

        // Element access
        BOOST_UBLAS_INLINE
        const_reference operator () (size_type i, size_type j) const {
            return functor_type () (e_ (i, j));
        }

#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
        typedef indexed_const_iterator1<const_closure_type, typename const_iterator1_type::iterator_category> const_iterator1;
        typedef const_iterator1 iterator1;
        typedef indexed_const_iterator2<const_closure_type, typename const_iterator2_type::iterator_category> const_iterator2;
        typedef const_iterator2 iterator2;
#else
        class const_iterator1;
        typedef const_iterator1 iterator1;
        class const_iterator2;
        typedef const_iterator2 iterator2;
#endif
#ifdef BOOST_MSVC_STD_ITERATOR
        typedef reverse_iterator_base1<const_iterator1, value_type, const_reference> const_reverse_iterator1;
        typedef reverse_iterator_base2<const_iterator2, value_type, const_reference> const_reverse_iterator2;
#else
        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
#endif

        // Element lookup
        BOOST_UBLAS_INLINE
        const_iterator1 find1 (int rank, size_type i, size_type j) const {
            const_iterator1_type it1 (e_.find1 (rank, i, j));
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
            return const_iterator1 (*this, it1.index1 (), it1.index2 ());
#else
            return const_iterator1 (*this, it1);
#endif
        }
        BOOST_UBLAS_INLINE
        const_iterator2 find2 (int rank, size_type i, size_type j) const {
            const_iterator2_type it2 (e_.find2 (rank, i, j));
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
            return const_iterator2 (*this, it2.index1 (), it2.index2 ());
#else
            return const_iterator2 (*this, it2);
#endif
        }

        // Iterators enhance the iterators of the referenced expression
        // with the unary functor.

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator1:
            public container_const_reference<matrix_unary1>,
#ifdef BOOST_UBLAS_USE_ITERATOR_BASE_TRAITS
            public iterator_base_traits<typename E::const_iterator1::iterator_category>::template
                iterator_base<const_iterator1, value_type>::type {
#else
            public random_access_iterator_base<typename E::const_iterator1::iterator_category,
                                               const_iterator1, value_type> {
#endif
        public:
            typedef typename E::const_iterator1::iterator_category iterator_category;
#ifdef BOOST_MSVC_STD_ITERATOR
            typedef const_reference reference;
#else
            typedef typename matrix_unary1::difference_type difference_type;
            typedef typename matrix_unary1::value_type value_type;
            typedef typename matrix_unary1::const_reference reference;
            typedef typename matrix_unary1::const_pointer pointer;
#endif
            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> (), it_ () {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const self_type &mu, const const_iterator1_type &it):
                container_const_reference<self_type> (mu), it_ (it) {}

            // Arithmetic
            BOOST_UBLAS_INLINE
            const_iterator1 &operator ++ () {
                ++ it_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator -- () {
                -- it_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator += (difference_type n) {
                it_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator -= (difference_type n) {
                it_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it_ - it.it_;
            }

            // Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                return functor_type () (*it_);
            }

#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 it_.index1 ();
            }
            BOOST_UBLAS_INLINE
            size_type index2 () const {
                return it_.index2 ();
            }

            // Assignment 
            BOOST_UBLAS_INLINE
            const_iterator1 &operator = (const const_iterator1 &it) {
                container_const_reference<self_type>::assign (&it ());
                it_ = it.it_;
                return *this;
            }

            // Comparison
            BOOST_UBLAS_INLINE
            bool operator == (const const_iterator1 &it) const {