matrix_expression.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it_ == it.it_;
            }
            BOOST_UBLAS_INLINE
            bool operator < (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it_ < it.it_;
            }

        private:
            const_iterator1_type it_;
        };
#endif

        BOOST_UBLAS_INLINE
        const_iterator1 begin1 () const {
            return find1 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        const_iterator1 end1 () const {
            return find1 (0, size1 (), 0);
        }

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator2:
            public container_const_reference<matrix_unary1>,
#ifdef BOOST_UBLAS_USE_ITERATOR_BASE_TRAITS
            public iterator_base_traits<typename E::const_iterator2::iterator_category>::template
                iterator_base<const_iterator2, value_type>::type {
#else
            public random_access_iterator_base<typename E::const_iterator2::iterator_category,
                                               const_iterator2, value_type> {
#endif                                               
        public:
            typedef typename E::const_iterator2::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_iterator1 dual_iterator_type;
            typedef const_reverse_iterator1 dual_reverse_iterator_type;

            // Construction and destruction
            BOOST_UBLAS_INLINE
            const_iterator2 ():
                container_const_reference<self_type> (), it_ () {}
            BOOST_UBLAS_INLINE
            const_iterator2 (const self_type &mu, const const_iterator2_type &it):
                container_const_reference<self_type> (mu), it_ (it) {}

            // Arithmetic
            BOOST_UBLAS_INLINE
            const_iterator2 &operator ++ () {
                ++ it_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator2 &operator -- () {
                -- it_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator2 &operator += (difference_type n) {
                it_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator2 &operator -= (difference_type n) {
                it_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const const_iterator2 &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_iterator1 begin () const {
                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 it_.index1 ();
            }
            BOOST_UBLAS_INLINE
            size_type index2 () const {
                return it_.index2 ();
            }

            // Assignment 
            BOOST_UBLAS_INLINE
            const_iterator2 &operator = (const const_iterator2 &it) {
                container_const_reference<self_type>::assign (&it ());
                it_ = it.it_;
                return *this;
            }

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

        private:
            const_iterator2_type it_;
        };
#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:
        expression_closure_type e_;
    };

    template<class E, class F>
    struct matrix_unary1_traits {
        typedef matrix_unary1<E, F> expression_type;
#ifdef BOOST_UBLAS_USE_ET
        typedef expression_type result_type; 
#else
        typedef matrix<typename F::result_type> result_type;
#endif
    };

    // (- m) [i] [j] = - m [i] [j]
    template<class E>
    BOOST_UBLAS_INLINE
    typename matrix_unary1_traits<E, scalar_negate<typename E::value_type> >::result_type
    operator - (const matrix_expression<E> &e) {
        typedef BOOST_UBLAS_TYPENAME matrix_unary1_traits<E, scalar_negate<BOOST_UBLAS_TYPENAME E::value_type> >::expression_type expression_type;
        return expression_type (e ());
    }

    // (conj m) [i] [j] = conj (m [i] [j])
    template<class E> 
    BOOST_UBLAS_INLINE
    typename matrix_unary1_traits<E, scalar_conj<typename E::value_type> >::result_type
    conj (const matrix_expression<E> &e) {
        typedef BOOST_UBLAS_TYPENAME matrix_unary1_traits<E, scalar_conj<BOOST_UBLAS_TYPENAME E::value_type> >::expression_type expression_type;
        return expression_type (e ());
    }

    // (real m) [i] [j] = real (m [i] [j])
    template<class E> 
    BOOST_UBLAS_INLINE
    typename matrix_unary1_traits<E, scalar_real<typename E::value_type> >::result_type
    real (const matrix_expression<E> &e) {
        typedef BOOST_UBLAS_TYPENAME matrix_unary1_traits<E, scalar_real<BOOST_UBLAS_TYPENAME E::value_type> >::expression_type expression_type;
        return expression_type (e ());
    }

    // (imag m) [i] [j] = imag (m [i] [j])
    template<class E> 
    BOOST_UBLAS_INLINE
    typename matrix_unary1_traits<E, scalar_imag<typename E::value_type> >::result_type
    imag (const matrix_expression<E> &e) {
        typedef BOOST_UBLAS_TYPENAME matrix_unary1_traits<E, scalar_imag<BOOST_UBLAS_TYPENAME E::value_type> >::expression_type expression_type;
        return expression_type (e ());
    }

    template<class E, class F>
    class matrix_unary2:
        public matrix_expression<matrix_unary2<E, F> > {
    public:
#ifndef BOOST_UBLAS_NO_PROXY_SHORTCUTS
        BOOST_UBLAS_USING matrix_expression<matrix_unary2<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_unary2<E, F> const_self_type;
        typedef matrix_unary2<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_iterator2_type;
        typedef typename E::const_iterator2 const_iterator1_type;
        typedef unknown_storage_tag storage_category;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        matrix_unary2 (): 
            e_ () {}
        BOOST_UBLAS_INLINE
        matrix_unary2 (const expression_type &e): 
            e_ (e) {}

        // Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return e_.size2 ();
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const {
            return e_.size1 ();
        }
        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_ (j, i)); 
        }

#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_.find2 (rank, j, i));
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
            return const_iterator1 (*this, it1.index2 (), it1.index1 ());
#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_.find1 (rank, j, i));
#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
            return const_iterator2 (*this, it2.index2 (), it2.index1 ());
#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_unary2>,
#ifdef BOOST_UBLAS_USE_ITERATOR_BASE_TRAITS
            public iterator_base_traits<typename E::const_iterator2::iterator_category>::template
                iterator_base<const_iterator1, value_type>::type {
#else
            public random_access_iterator_base<typename E::const_iterator2::iterator_category,
                                               const_iterator1, value_type> {
#endif
        public:
            typedef typename E::const_iterator2::iterato