banded.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

        BOOST_UBLAS_INLINE
        reverse_iterator1 rbegin1 () {
            return reverse_iterator1 (end1 ());
        }
        BOOST_UBLAS_INLINE
        reverse_iterator1 rend1 () {
            return 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 ());
        }

        BOOST_UBLAS_INLINE
        reverse_iterator2 rbegin2 () {
            return reverse_iterator2 (end2 ());
        }
        BOOST_UBLAS_INLINE
        reverse_iterator2 rend2 () {
            return reverse_iterator2 (begin2 ());
        }

    private:
        size_type size1_;
        size_type size2_;
        size_type lower_;
        size_type upper_;
        array_type data_;
        static value_type zero_;
    };

    template<class T, class F, class A>
    typename banded_matrix<T, F, A>::value_type banded_matrix<T, F, A>::zero_ =
        banded_matrix<T, F, A>::value_type ();

    // Diagonal matrix class
    template<class T, class F, class A>
    class diagonal_matrix:
        public banded_matrix<T, F, A> {
    public:
#ifndef BOOST_UBLAS_NO_DERIVED_HELPERS
        BOOST_UBLAS_USING banded_matrix<T, F, A>::operator =;
#endif
        typedef banded_matrix<T, F, A> matrix_type;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        diagonal_matrix ():
            matrix_type () {}
        BOOST_UBLAS_INLINE
        diagonal_matrix (std::size_t size):
            matrix_type (size, size) {}
        BOOST_UBLAS_INLINE
        diagonal_matrix (std::size_t size1, std::size_t size2):
            matrix_type (size1, size2) {}
        template<class AE>
        BOOST_UBLAS_INLINE
        diagonal_matrix (const matrix_expression<AE> &ae):
            matrix_type (ae) {}
        BOOST_UBLAS_INLINE
        ~diagonal_matrix () {}

        // Assignment
        BOOST_UBLAS_INLINE
        diagonal_matrix &operator = (const diagonal_matrix &m) {
            matrix_type::operator = (m);
            return *this;
        }
    };

    // Banded matrix adaptor class
    template<class M>
    class banded_adaptor:
        public matrix_expression<banded_adaptor<M> > {
    public:
#ifndef BOOST_UBLAS_NO_PROXY_SHORTCUTS
        BOOST_UBLAS_USING matrix_expression<banded_adaptor<M> >::operator ();
#endif
        typedef const M const_matrix_type;
        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;
        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 banded_adaptor<M> const_self_type;
        typedef banded_adaptor<M> self_type;
        typedef const_self_type const_closure_type;
        typedef self_type closure_type;
#ifndef BOOST_UBLAS_CT_PROXY_BASE_TYPEDEFS
        typedef typename M::const_iterator1 const_iterator1_type;
        typedef typename M::iterator1 iterator1_type;
        typedef typename M::const_iterator2 const_iterator2_type;
        typedef typename M::iterator2 iterator2_type;
#else
        typedef typename M::const_iterator1 const_iterator1_type;
        typedef typename boost::mpl::if_c<boost::is_const<M>::value,
                                          typename M::const_iterator1,
                                          typename M::iterator1>::type iterator1_type;
        typedef typename M::const_iterator2 const_iterator2_type;
        typedef typename boost::mpl::if_c<boost::is_const<M>::value,
                                          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 M::orientation_category orientation_category;

        // Construction and destruction
        BOOST_UBLAS_INLINE
        banded_adaptor ():
            matrix_expression<self_type> (),
            data_ (nil_), lower_ (0), upper_ (0) {}
        BOOST_UBLAS_INLINE
        banded_adaptor (matrix_type &data, size_type lower = 0, size_type upper = 0):
            matrix_expression<self_type> (),
            data_ (data), lower_ (lower), upper_ (upper) {}
        BOOST_UBLAS_INLINE
        banded_adaptor (const banded_adaptor &m):
            matrix_expression<self_type> (),
            data_ (m.data_), lower_ (m.lower_), upper_ (m.upper_) {}

        // Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return data_.size1 ();
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const {
            return data_.size2 ();
        }
        BOOST_UBLAS_INLINE
        size_type lower () const {
            return lower_;
        }
        BOOST_UBLAS_INLINE
        size_type upper () const {
            return upper_;
        }
        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, size_type lower = 0, size_type upper = 0) {
            // References are not retargetable.
            // Thanks to Michael Stevens for spotting this.
            // data_ = data;
            data_.reset (data);
            lower_ = lower;
            upper_ = upper;
        }
#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 ());
#ifdef BOOST_UBLAS_OWN_BANDED
            size_type k = std::max (i, j);
            size_type l = lower_ + j - i;
            if (k < std::max (size1 (), size2 ()) &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#else
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#endif
            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 ());
#ifdef BOOST_UBLAS_OWN_BANDED
            size_type k = std::max (i, j);
            size_type l = lower_ + j - i;
            if (k < std::max (size1 (), size2 ()) &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#else
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#endif
#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 ());
#ifdef BOOST_UBLAS_OWN_BANDED
            size_type k = std::max (i, j);
            size_type l = lower_ + j - i;
            if (k < std::max (size1 (), size2 ()) &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#else
            size_type k = j;
            size_type l = upper_ + i - j;
            if (k < size2 () &&
                l < lower_ + 1 + upper_)
                return data () (i, j);
#endif
#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
        banded_adaptor &operator = (const banded_adaptor &m) {
            matrix_assign (scalar_assign<reference, value_type> (), *this, m);
            return *this;
        }
        BOOST_UBLAS_INLINE
        banded_adaptor &assign_temporary (banded_adaptor &m) {
            *this = m;
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        banded_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
        banded_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
        banded_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
        banded_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
        banded_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
        banded_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
        banded_adaptor& operator *= (const AT &at) {
            matrix_assign_scalar (scalar_multiplies_assign<reference, AT> (), *this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        banded_adaptor& operator /= (const AT &at) {
            matrix_assign_scalar (scalar_divides_assign<reference, AT> (), *this, at);
            return *this;
        }

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

        // Swapping
        BOOST_UBLAS_INLINE
        void swap (banded_adaptor &m) {
            // Too unusual semantic.
            // BOOST_UBLAS_CHECK (this != &m, external_logic ());
            if (this != &m) {
                BOOST_UBLAS_CHECK (lower_ == m.lower_, bad_size ());
                BOOST_UBLAS_CHECK (upper_ == m.upper_, bad_size ());