hermitian.hpp

CGAL is a collaborative effort of several sites in Europe and Israel. The goal is to make the most i

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

#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
        class iterator2:
            public container_reference<hermitian_matrix>,
            public random_access_iterator_base<packed_random_access_iterator_tag,
                                               iterator2, value_type> {
        public:
            typedef packed_random_access_iterator_tag iterator_category;
#ifndef BOOST_MSVC_STD_ITERATOR
            typedef typename hermitian_matrix::value_type value_type;
            typedef typename hermitian_matrix::difference_type difference_type;
            typedef typename hermitian_matrix::true_reference reference;
            typedef typename hermitian_matrix::pointer pointer;
#endif
            typedef iterator1 dual_iterator_type;
            typedef reverse_iterator1 dual_reverse_iterator_type;

            // Construction and destruction
            BOOST_UBLAS_INLINE
            iterator2 ():
                container_reference<self_type> (), it1_ (), it2_ () {}
            BOOST_UBLAS_INLINE
            iterator2 (self_type &m, size_type it1, size_type it2):
                container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}

            // Arithmetic
            BOOST_UBLAS_INLINE
            iterator2 &operator ++ () {
                ++ it2_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator2 &operator -- () {
                -- it2_;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator2 &operator += (difference_type n) {
                it2_ += n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            iterator2 &operator -= (difference_type n) {
                it2_ -= n;
                return *this;
            }
            BOOST_UBLAS_INLINE
            difference_type operator - (const iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ - it.it2_;
            }

            // Dereference
            BOOST_UBLAS_INLINE
            reference operator * () const {
                return (*this) ().at_element (it1_, it2_);
            }

#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator1 begin () const {
                return (*this) ().find1 (1, 0, it2_);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            iterator1 end () const {
                return (*this) ().find1 (1, (*this) ().size1 (), it2_);
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator1 rbegin () const {
                return reverse_iterator1 (end ());
            }
            BOOST_UBLAS_INLINE
#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
            typename self_type::
#endif
            reverse_iterator1 rend () const {
                return reverse_iterator1 (begin ());
            }
#endif

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

            // Assignment
            BOOST_UBLAS_INLINE
            iterator2 &operator = (const iterator2 &it) {
                container_reference<self_type>::assign (&it ());
                it1_ = it.it1_;
                it2_ = it.it2_;
                return *this;
            }

            // Comparison
            BOOST_UBLAS_INLINE
            bool operator == (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 iterator2 &it) const {
                BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
                BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
                return it2_ < it.it2_;
            }

        private:
            size_type it1_;
            size_type it2_;

            friend class const_iterator2;
        };
#endif

        BOOST_UBLAS_INLINE
        iterator2 begin2 () {
            return find2 (0, 0, 0);
        }
        BOOST_UBLAS_INLINE
        iterator2 end2 () {
            return find2 (0, 0, size_);
        }

        // 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
        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 size_;
        array_type data_;
        static value_type conj_;
    };

    template<class T, class F1, class F2, class A>
    typename hermitian_matrix<T, F1, F2, A>::value_type hermitian_matrix<T, F1, F2, A>::conj_
#ifdef BOOST_UBLAS_STATIC_OLD_INIT
        = BOOST_UBLAS_TYPENAME hermitian_matrix<T, F1, F2, A>::value_type ()
#endif
    ;

    // Hermitian matrix adaptor class
    template<class M, class F>
    class hermitian_adaptor:
        public matrix_expression<hermitian_adaptor<M, F> > {
    public:
#ifndef BOOST_UBLAS_NO_PROXY_SHORTCUTS
        BOOST_UBLAS_USING matrix_expression<hermitian_adaptor<M, F> >::operator ();
#endif
        typedef const M const_matrix_type;
        typedef M matrix_type;
        typedef F functor_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
        // FIXME: no better way to not return the address of a temporary?
        // typedef typename M::const_reference const_reference;
        typedef typename M::value_type const_reference;
#ifndef BOOST_UBLAS_STRICT_HERMITIAN
        typedef typename M::reference reference;
#else
        typedef hermitian_matrix_element<hermitian_adaptor<M, F> > reference;
#endif
#else
        typedef typename M::value_type const_reference;
#ifndef BOOST_UBLAS_STRICT_HERMITIAN
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::value_type,
                                          typename M::reference>::type reference;
#else
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::value_type,
                                          hermitian_matrix_element<const hermitian_adaptor<M, F> > >::type reference;
#endif
#endif
#ifndef BOOST_UBLAS_CT_PROXY_CLOSURE_TYPEDEFS
        typedef typename M::closure_type matrix_closure_type;
#else
        typedef typename boost::mpl::if_<boost::is_const<M>,
                                          typename M::const_closure_type,
                                          typename M::closure_type>::type matrix_closure_type;
#endif
    private:
        typedef hermitian_adaptor<M, F> self_type;
    public:
        typedef const self_type const_closure_type;
        typedef self_type closure_type;
        typedef typename M::vector_temporary_type vector_temporary_type;
        typedef typename M::matrix_temporary_type matrix_temporary_type;
        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
        hermitian_adaptor ():
            matrix_expression<self_type> (),
            data_ (nil_) {
            BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
        }
        BOOST_UBLAS_INLINE
        hermitian_adaptor (matrix_type &data):
            matrix_expression<self_type> (),
            data_ (data) {
            BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
        }
        BOOST_UBLAS_INLINE
        hermitian_adaptor (const hermitian_adaptor &m):
            matrix_expression<self_type> (),
            data_ (m.data_) {
            BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
        }

        // 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_;
        }

        // 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 (i == j)
            //     return type_traits<value_type>::real (data () (i, i));
            // else
            if (functor_type::other (i, j))
                return data () (i, j);
            else
                return type_traits<value_type>::conj (data () (j, i));
        }
        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 ());
#ifndef BOOST_UBLAS_STRICT_HERMITIAN
            if (functor_type::other (i, j))
                return data () (i, j);
            else {
                external_logic ().raise ();
                return conj_ = type_traits<value_type>::conj (data () (j, i));
            }
#else
            if (functor_type::other (i, j))
                return reference (*this, i, j, data () (i, j));
            else
                return reference (*this, i, j, type_traits<value_type>::conj (data () (j, i)));
#endif
        }
        BOOST_UBLAS_INLINE
        void at (size_type i, size_type j, value_type t) {
            BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
            BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
            // if (i == j)