hermitian.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

            matrix_expression<self_type> (),
            size_ (0), data_ (0) {}
        BOOST_UBLAS_INLINE
        hermitian_matrix (size_type size):
            matrix_expression<self_type> (),
            size_ (BOOST_UBLAS_SAME (size, size)), data_ (0) {
            resize (size);
        }
        BOOST_UBLAS_INLINE
        hermitian_matrix (size_type size1, size_type size2):
            matrix_expression<self_type> (),
            size_ (BOOST_UBLAS_SAME (size1, size2)), data_ (0) {
            resize (size1, size2);
        }
        BOOST_UBLAS_INLINE
        hermitian_matrix (size_type size, const array_type &data):
            matrix_expression<self_type> (),
            size_ (size), data_ (data) {}
        BOOST_UBLAS_INLINE
        hermitian_matrix (const hermitian_matrix &m):
            matrix_expression<self_type> (),
            size_ (m.size_), data_ (m.data_) {}
        template<class AE>
        BOOST_UBLAS_INLINE
        hermitian_matrix (const matrix_expression<AE> &ae):
            matrix_expression<self_type> (),
            size_ (BOOST_UBLAS_SAME (ae ().size1 (), ae ().size2 ())), data_ (0) {
#ifndef BOOST_UBLAS_TYPE_CHECK
            resize (ae ().size1 (), ae ().size2 (), false);
#else
            resize (ae ().size1 (), ae ().size2 (), true);
#endif
            matrix_assign (scalar_assign<reference, BOOST_UBLAS_TYPENAME AE::value_type> (), *this, ae);
        }

        // Accessors
        BOOST_UBLAS_INLINE
        size_type size1 () const {
            return size_;
        }
        BOOST_UBLAS_INLINE
        size_type size2 () const { 
            return size_;
        }
        BOOST_UBLAS_INLINE
        const_array_type &data () const {
            return data_;
        }
        BOOST_UBLAS_INLINE
        array_type &data () {
            return data_;
        }

        // Resizing
        BOOST_UBLAS_INLINE
        void resize (size_type size, bool preserve = true) {
            size_ = BOOST_UBLAS_SAME (size, size);
            detail::resize (data (), functor1_type::packed_size (size, size), preserve);
        }
        BOOST_UBLAS_INLINE
        void resize (size_type size1, size_type size2, bool preserve = true) {
            size_ = BOOST_UBLAS_SAME (size1, size2);
            detail::resize (data (), functor1_type::packed_size (size1, size2), preserve);
        }

        // Element access
        BOOST_UBLAS_INLINE
        const_reference operator () (size_type i, size_type j) const {
            BOOST_UBLAS_CHECK (i < size_, bad_index ());
            BOOST_UBLAS_CHECK (j < size_, bad_index ());
            // if (i == j)
            //    return type_traits<value_type>::real (data () [functor1_type::element (functor2_type (), i, size_, i, size_)]);
            // else
            if (functor1_type::other (i, j))
                return data () [functor1_type::element (functor2_type (), i, size_, j, size_)];
            else
                return type_traits<value_type>::conj (data () [functor1_type::element (functor2_type (), j, size_, i, size_)]);
        }
        BOOST_UBLAS_INLINE
        reference operator () (size_type i, size_type j) {
            BOOST_UBLAS_CHECK (i < size_, bad_index ());
            BOOST_UBLAS_CHECK (j < size_, bad_index ());
#ifndef BOOST_UBLAS_STRICT_HERMITIAN
            if (functor1_type::other (i, j))
                return data () [functor1_type::element (functor2_type (), i, size_, j, size_)];
            else {
                // Raising exceptions abstracted as requested during review.
                // throw external_logic ();
                external_logic ().raise ();
                return conj_ = type_traits<value_type>::conj (data () [functor1_type::element (functor2_type (), j, size_, i, size_)]);
            }
#else
            if (functor1_type::other (i, j))
                return reference (*this, i, j, data () [functor1_type::element (functor2_type (), i, size_, j, size_)]);
            else
                return reference (*this, i, j, type_traits<value_type>::conj (data () [functor1_type::element (functor2_type (), j, size_, i, size_)]));
#endif
        }
        BOOST_UBLAS_INLINE
        void at (size_type i, size_type j, value_type t) {
            BOOST_UBLAS_CHECK (i < size_, bad_index ());
            BOOST_UBLAS_CHECK (j < size_, bad_index ());
            // if (i == j)
            //    data () [functor1_type::element (functor2_type (), i, size_, i, size_)] = type_traits<value_type>::real (t);
            // else
            if (functor1_type::other (i, j))
                data () [functor1_type::element (functor2_type (), i, size_, j, size_)] = t;
            else
                data () [functor1_type::element (functor2_type (), j, size_, i, size_)] = type_traits<value_type>::conj (t);
        }

        // Assignment
        BOOST_UBLAS_INLINE
        hermitian_matrix &operator = (const hermitian_matrix &m) {
            // Precondition for container relaxed as requested during review.
            // BOOST_UBLAS_CHECK (size_ == m.size_, bad_size ());
            size_ = m.size_;
            data () = m.data ();
            return *this;
        }
        BOOST_UBLAS_INLINE
        hermitian_matrix &assign_temporary (hermitian_matrix &m) {
            swap (m);
            return *this;
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        hermitian_matrix &operator = (const matrix_expression<AE> &ae) {
#ifdef BOOST_UBLAS_MUTABLE_TEMPORARY
            return assign_temporary (self_type (ae));
#else
            // return assign (self_type (ae));
            self_type temporary (ae);
            return assign_temporary (temporary);
#endif
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        hermitian_matrix &reset (const matrix_expression<AE> &ae) { 
            self_type temporary (ae);
            resize (temporary.size1 (), temporary.size2 (), false);
            return assign_temporary (temporary);
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        hermitian_matrix &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
        hermitian_matrix& operator += (const matrix_expression<AE> &ae) {
#ifdef BOOST_UBLAS_MUTABLE_TEMPORARY
            return assign_temporary (self_type (*this + ae));
#else
            // return assign (self_type (*this + ae));
            self_type temporary (*this + ae);
            return assign_temporary (temporary);
#endif
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        hermitian_matrix &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
        hermitian_matrix& operator -= (const matrix_expression<AE> &ae) {
#ifdef BOOST_UBLAS_MUTABLE_TEMPORARY
            return assign_temporary (self_type (*this - ae));
#else
            // return assign (self_type (*this - ae));
            self_type temporary (*this - ae);
            return assign_temporary (temporary);
#endif
        }
        template<class AE>
        BOOST_UBLAS_INLINE
        hermitian_matrix &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
        hermitian_matrix& operator *= (const AT &at) {
            // Multiplication is only allowed for real scalars,
            // otherwise the resulting matrix isn't hermitian.
            // Thanks to Peter Schmitteckert for spotting this.
            BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ());
            matrix_assign_scalar (scalar_multiplies_assign<reference, AT> (), *this, at);
            return *this;
        }
        template<class AT>
        BOOST_UBLAS_INLINE
        hermitian_matrix& operator /= (const AT &at) {
            // Multiplication is only allowed for real scalars,
            // otherwise the resulting matrix isn't hermitian.
            // Thanks to Peter Schmitteckert for spotting this.
            BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ());
            matrix_assign_scalar (scalar_divides_assign<reference, AT> (), *this, at);
            return *this;
        }

        // Swapping
        BOOST_UBLAS_INLINE
        void swap (hermitian_matrix &m) {
            // Too unusual semantic.
            // BOOST_UBLAS_CHECK (this != &m, external_logic ());
            if (this != &m) {
                // Precondition for container relaxed as requested during review.
                // BOOST_UBLAS_CHECK (size_ == m.size_, bad_size ());
                std::swap (size_, m.size_);
                data ().swap (m.data ());
            }
        }
#ifndef BOOST_UBLAS_NO_MEMBER_FRIENDS
        BOOST_UBLAS_INLINE
        friend void swap (hermitian_matrix &m1, hermitian_matrix &m2) {
            m1.swap (m2);
        }
#endif

        // Element insertion and erasure
        // These functions should work with std::vector.
        // Thanks to Kresimir Fresl for spotting this.
        BOOST_UBLAS_INLINE
        void insert (size_type i, size_type j, const_reference t) {
            BOOST_UBLAS_CHECK (i < size_, bad_index ());
            BOOST_UBLAS_CHECK (j < size_, bad_index ());
// FIXME: is this ugly check still needed?!
// #ifndef BOOST_UBLAS_USE_ET
//             if (t == value_type ())
//                 return;
// #endif
            if (functor1_type::other (i, j)) {
                size_type k = functor1_type::element (functor2_type (), i, size_, j, size_);
                BOOST_UBLAS_CHECK (type_traits<value_type>::equals (data () [k], value_type ()) ||
                                   type_traits<value_type>::equals (data () [k], t), bad_index ());
                // data ().insert (data ().begin () + k, t);
                data () [k] = t;
            } else {
                size_type k = functor1_type::element (functor2_type (), j, size_, i, size_);
                BOOST_UBLAS_CHECK (type_traits<value_type>::equals (data () [k], value_type ()) ||
                                   type_traits<value_type>::equals (data () [k], type_traits<value_type>::conj (t)), bad_index ());
                // data ().insert (data ().begin () + k, type_traits<value_type>::conj (t));
                data () [k] = type_traits<value_type>::conj (t);
            }
        }
        BOOST_UBLAS_INLINE
        void erase (size_type i, size_type j) {
            BOOST_UBLAS_CHECK (i < size_, bad_index ());
            BOOST_UBLAS_CHECK (j < size_, bad_index ());
            if (functor1_type::other (i, j)) {
                size_type k = functor1_type::element (functor2_type (), i, size_, j, size_);
                // data ().erase (data ().begin () + k);
                data () [k] = value_type ();
            } else {
                size_type k = functor1_type::element (functor2_type (), j, size_, i, size_);
                // data ().erase (data ().begin () + k);
                data () [k] = value_type ();
            }
        }
        BOOST_UBLAS_INLINE
        void clear () {
            // data ().clear ();
            std::fill (data ().begin (), data ().end (), value_type ());
        }

#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 {
            return const_iterator1 (*this, i, j);
        }
        BOOST_UBLAS_INLINE
        iterator1 find1 (int rank, size_type i, size_type j) {
            if (rank == 1)
                i = functor1_type::restrict1 (i, j);
            return iterator1 (*this, i, j);
        }
        BOOST_UBLAS_INLINE
        const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
            return const_iterator2 (*this, i, j);
        }
        BOOST_UBLAS_INLINE
        iterator2 find2 (int rank, size_type i, size_type j) {
            if (rank == 1)
                j = functor1_type::restrict2 (i, j);
            return iterator2 (*this, i, j);
        }

        // Iterators simply are indices.

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class const_iterator1:
            public container_const_reference<hermitian_matrix>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               const_iterator1, value_type> {
        public:
            typedef packed_random_access_iterator_tag iterator_category;
#ifdef BOOST_MSVC_STD_ITERATOR
            typedef const_reference reference;
#else
            typedef typename hermitian_matrix::difference_type difference_type;
            typedef typename hermitian_matrix::value_type value_type;