triangular.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

                                          typename M::const_iterator2,
                                          typename M::iterator2>::type iterator2_type;
#endif
        typedef typename storage_restrict_traits<typename M::storage_category,
                                                 packed_proxy_tag>::storage_category storage_category;
        typedef typename F::packed_category packed_category;
        typedef typename M::orientation_category orientation_category;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        triangular_adaptor ():
            matrix_expression<self_type> (),
            data_ (nil_) {}
        BOOST_UBLAS_INLINE
        triangular_adaptor (matrix_type &data):
            matrix_expression<self_type> (),
            data_ (data) {}
        BOOST_UBLAS_INLINE
        triangular_adaptor (const triangular_adaptor &m):
            matrix_expression<self_type> (),
            data_ (m.data_) {}

        // Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return data_.size1 ();
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const {
            return data_.size2 ();
        }
        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) {
            // References are not retargetable.
            // Thanks to Michael Stevens for spotting this.
            // data_ = data;
            data_.reset (data);
        }
#endif

        // Element access
#ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
        BOOST_UBLAS_INLINE
        const_reference operator () (size_type i, size_type j) const {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
            if (functor_type::other (i, j))
                return data () (i, j);
            else if (functor_type::one (i, j))
                return one_;
            else
                return zero_;
        }
        BOOST_UBLAS_INLINE
        reference operator () (size_type i, size_type j) {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
            if (functor_type::other (i, j))
                return data () (i, j);
            else if (functor_type::one (i, j)) {
#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
                // Raising exceptions abstracted as requested during review.
                // throw external_logic ();
                external_logic ().raise ();
#endif
                return one_;
            } else {
#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
                // Raising exceptions abstracted as requested during review.
                // throw external_logic ();
                external_logic ().raise ();
#endif
                return zero_;
            }
        }
#else
        BOOST_UBLAS_INLINE
        reference operator () (size_type i, size_type j) const {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
            if (functor_type::other (i, j))
                return data () (i, j);
            else if (functor_type::one (i, j)) {
#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
                // Raising exceptions abstracted as requested during review.
                // throw external_logic ();
                external_logic ().raise ();
#endif
                return one_;
            } else {
#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER
                // Raising exceptions abstracted as requested during review.
                // throw external_logic ();
                external_logic ().raise ();
#endif
                return zero_;
            }
        }
#endif

        // Assignment
        BOOST_UBLAS_INLINE
        triangular_adaptor &operator = (const triangular_adaptor &m) {
            matrix_assign (scalar_assign<reference, value_type> (), *this, m);
            return *this;
        }
        BOOST_UBLAS_INLINE
        triangular_adaptor &assign_temporary (triangular_adaptor &m) {
            *this = m;
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        triangular_adaptor &operator = (const matrix_expression<AE> &ae) {
            matrix_assign (scalar_assign<reference, value_type> (), *this, matrix<value_type> (ae)); 
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        triangular_adaptor &assign (const matrix_expression<AE> &ae) { 
            matrix_assign (scalar_assign<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae); 
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        triangular_adaptor& operator += (const matrix_expression<AE> &ae) {
            matrix_assign (scalar_assign<reference, value_type> (), *this, matrix<value_type> (*this + ae)); 
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        triangular_adaptor &plus_assign (const matrix_expression<AE> &ae) { 
            matrix_assign (scalar_plus_assign<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae); 
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        triangular_adaptor& operator -= (const matrix_expression<AE> &ae) {
            matrix_assign (scalar_assign<reference, value_type> (), *this, matrix<value_type> (*this - ae)); 
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        triangular_adaptor &minus_assign (const matrix_expression<AE> &ae) { 
            matrix_assign (scalar_minus_assign<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae); 
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        triangular_adaptor& operator *= (const AT &at) {
            matrix_assign_scalar (scalar_multiplies_assign<reference, AT> (), *this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        triangular_adaptor& operator /= (const AT &at) {
            matrix_assign_scalar (scalar_divides_assign<reference, AT> (), *this, at);
            return *this;
        }

        // Comparison
        bool operator == (const triangular_adaptor &ta) const {
            return (*this).data () == ta.data ();
        }

        // Swapping
        BOOST_UBLAS_INLINE
        void swap (triangular_adaptor &m) {
            // Too unusual semantic.
            // BOOST_UBLAS_CHECK (this != &m, external_logic ());
            if (this != &m)
                matrix_swap (scalar_swap<reference, reference> (), *this, m); 
        }
#ifndef BOOST_UBLAS_NO_MEMBER_FRIENDS
        BOOST_UBLAS_INLINE
        friend void swap (triangular_adaptor &m1, triangular_adaptor &m2) {
            m1.swap (m2);
        }
#endif

#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
        typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
        typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
        typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
        typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
#else
        class const_iterator1;
        class iterator1;
        class const_iterator2;
        class iterator2;
#endif
#ifdef BOOST_MSVC_STD_ITERATOR
        typedef reverse_iterator_base1<const_iterator1, value_type, const_reference> const_reverse_iterator1;
        typedef reverse_iterator_base1<iterator1, value_type, reference> reverse_iterator1;
        typedef reverse_iterator_base2<const_iterator2, value_type, const_reference> const_reverse_iterator2;
        typedef reverse_iterator_base2<iterator2, value_type, reference> reverse_iterator2;
#else
        typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
        typedef reverse_iterator_base1<iterator1> reverse_iterator1;
        typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
        typedef reverse_iterator_base2<iterator2> reverse_iterator2;
#endif

        // Element lookup
        BOOST_UBLAS_INLINE
        const_iterator1 find1 (int rank, size_type i, size_type j) const {
            if (rank == 1)
                i = functor_type::restrict1 (i, j);
            return const_iterator1 (*this, data ().find1 (rank, i, j));
        }
        BOOST_UBLAS_INLINE
        iterator1 find1 (int rank, size_type i, size_type j) {
            if (rank == 1)
                i = functor_type::mutable_restrict1 (i, j);
            return iterator1 (*this, data ().find1 (rank, i, j));
        }
        BOOST_UBLAS_INLINE
        const_iterator2 find2 (int rank, size_type i, size_type j) const {
            if (rank == 1)
                j = functor_type::restrict2 (i, j);
            return const_iterator2 (*this, data ().find2 (rank, i, j));
        }
        BOOST_UBLAS_INLINE
        iterator2 find2 (int rank, size_type i, size_type j) {
            if (rank == 1)
                j = functor_type::mutable_restrict2 (i, j);
            return iterator2 (*this, data ().find2 (rank, i, j));
        }

        // Iterators simply are indices.

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator1:
            public container_const_reference<triangular_adaptor>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               const_iterator1, value_type> {
        public:
#ifndef BOOST_MSVC_STD_ITERATOR
            typedef typename iterator_restrict_traits<typename const_iterator1_type::iterator_category,
                                                      packed_random_access_iterator_tag>::iterator_category iterator_category;
            typedef typename const_iterator1_type::difference_type difference_type;
            typedef typename const_iterator1_type::value_type value_type;
            typedef typename const_iterator1_type::reference reference;
            typedef typename const_iterator1_type::pointer pointer;
#else
            typedef typename iterator_restrict_traits<typename M::const_iterator1::iterator_category,
                                                      packed_random_access_iterator_tag>::iterator_category iterator_category;
            typedef const_reference reference;
#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> (), it1_ () {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const self_type &m, const const_iterator1_type &it1):
                container_const_reference<self_type> (m), it1_ (it1) {}
            BOOST_UBLAS_INLINE
            const_iterator1 (const iterator1 &it):
                container_const_reference<self_type> (it ()), it1_ (it.it1_) {}

            // Arithmetic
            BOOST_UBLAS_INLINE
            const_iterator1 &operator ++ () {
                ++ it1_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator -- () {
                -- it1_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator += (difference_type n) {
                it1_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            const_iterator1 &operator -= (difference_type n) {
                it1_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const const_iterator1 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                return it1_ - it.it1_;
            }

            // Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                size_type i = index1 ();
                size_type j = index2 ();
                BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ());
                BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ());
                if (functor_type::other (i, j))
                    return *it1_;
                else
                    return (*this) () (i, j);
            }

#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::