Chris@16: //
Chris@16: //  Copyright (c) 2000-2010
Chris@16: //  Joerg Walter, Mathias Koch, David Bellot
Chris@16: //
Chris@16: //  Distributed under the Boost Software License, Version 1.0. (See
Chris@16: //  accompanying file LICENSE_1_0.txt or copy at
Chris@16: //  http://www.boost.org/LICENSE_1_0.txt)
Chris@16: //
Chris@16: //  The authors gratefully acknowledge the support of
Chris@16: //  GeNeSys mbH & Co. KG in producing this work.
Chris@16: //
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_HERMITIAN_H
Chris@16: #define BOOST_UBLAS_HERMITIAN_H
Chris@16: 
Chris@16: #include <boost/numeric/ublas/matrix.hpp>
Chris@16: #include <boost/numeric/ublas/triangular.hpp>  // for resize_preserve
Chris@16: #include <boost/numeric/ublas/detail/temporary.hpp>
Chris@16: 
Chris@16: // Iterators based on ideas of Jeremy Siek
Chris@16: // Hermitian matrices are square. Thanks to Peter Schmitteckert for spotting this.
Chris@16: 
Chris@16: namespace boost { namespace numeric { namespace ublas {
Chris@16: 
Chris@16:     template<class M>
Chris@16:     bool is_hermitian (const M &m) {
Chris@16:         typedef typename M::size_type size_type;
Chris@16: 
Chris@16:         if (m.size1 () != m.size2 ())
Chris@16:             return false;
Chris@16:         size_type size = BOOST_UBLAS_SAME (m.size1 (), m.size2 ());
Chris@16:         for (size_type i = 0; i < size; ++ i) {
Chris@16:             for (size_type j = i; j < size; ++ j) {
Chris@16:                 if (m (i, j) != conj (m (j, i)))
Chris@16:                     return false;
Chris@16:             }
Chris@16:         }
Chris@16:         return true;
Chris@16:     }
Chris@16: 
Chris@16: #ifdef BOOST_UBLAS_STRICT_HERMITIAN
Chris@16: 
Chris@16:     template<class M>
Chris@16:     class hermitian_matrix_element:
Chris@16:        public container_reference<M> {
Chris@16:     public:
Chris@16:         typedef M matrix_type;
Chris@16:         typedef typename M::size_type size_type;
Chris@16:         typedef typename M::value_type value_type;
Chris@16:         typedef const value_type &const_reference;
Chris@16:         typedef value_type &reference;
Chris@16:         typedef value_type *pointer;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element (matrix_type &m, size_type i, size_type j, value_type d):
Chris@16:             container_reference<matrix_type> (m), i_ (i), j_ (j), d_ (d), dirty_ (false) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         ~hermitian_matrix_element () {
Chris@16:             if (dirty_)
Chris@16:                 (*this) ().insert_element (i_, j_, d_);
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element &operator = (const hermitian_matrix_element &p) {
Chris@16:             // Overide the implict copy assignment
Chris@16:             d_ = p.d_;
Chris@16:             dirty_ = true;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element &operator = (const D &d) {
Chris@16:             d_ = d;
Chris@16:             dirty_ = true;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element &operator += (const D &d) {
Chris@16:             d_ += d;
Chris@16:             dirty_ = true;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element &operator -= (const D &d) {
Chris@16:             d_ -= d;
Chris@16:             dirty_ = true;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element &operator *= (const D &d) {
Chris@16:             d_ *= d;
Chris@16:             dirty_ = true;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix_element &operator /= (const D &d) {
Chris@16:             d_ /= d;
Chris@16:             dirty_ = true;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         
Chris@16:         // Comparison
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool operator == (const D &d) const {
Chris@16:             return d_ == d;
Chris@16:         }
Chris@16:         template<class D>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool operator != (const D &d) const {
Chris@16:             return d_ != d;
Chris@16:         }
Chris@16: 
Chris@16:         // Conversion
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         operator const_reference () const {
Chris@16:             return d_;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (hermitian_matrix_element p) {
Chris@16:             if (this != &p) {
Chris@16:                 dirty_ = true;
Chris@16:                 p.dirty_ = true;
Chris@16:                 std::swap (d_, p.d_);
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (hermitian_matrix_element p1, hermitian_matrix_element p2) {
Chris@16:             p1.swap (p2);
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type i_;
Chris@16:         size_type j_;
Chris@16:         value_type d_;
Chris@16:         bool dirty_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class M>
Chris@16:     struct type_traits<hermitian_matrix_element<M> > {
Chris@16:         typedef typename M::value_type element_type;
Chris@16:         typedef type_traits<hermitian_matrix_element<M> > self_type;
Chris@16:         typedef typename type_traits<element_type>::value_type value_type;
Chris@16:         typedef typename type_traits<element_type>::const_reference const_reference;
Chris@16:         typedef hermitian_matrix_element<M> reference;
Chris@16:         typedef typename type_traits<element_type>::real_type real_type;
Chris@16:         typedef typename type_traits<element_type>::precision_type precision_type;
Chris@16: 
Chris@16:         static const unsigned plus_complexity = type_traits<element_type>::plus_complexity;
Chris@16:         static const unsigned multiplies_complexity = type_traits<element_type>::multiplies_complexity;
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type real (const_reference t) {
Chris@16:             return type_traits<element_type>::real (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type imag (const_reference t) {
Chris@16:             return type_traits<element_type>::imag (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_type conj (const_reference t) {
Chris@16:             return type_traits<element_type>::conj (t);
Chris@16:         }
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type type_abs (const_reference t) {
Chris@16:             return type_traits<element_type>::type_abs (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         value_type type_sqrt (const_reference t) {
Chris@16:             return type_traits<element_type>::type_sqrt (t);
Chris@16:         }
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type norm_1 (const_reference t) {
Chris@16:             return type_traits<element_type>::norm_1 (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type norm_2 (const_reference t) {
Chris@16:             return type_traits<element_type>::norm_2 (t);
Chris@16:         }
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         real_type norm_inf (const_reference t) {
Chris@16:             return type_traits<element_type>::norm_inf (t);
Chris@16:         }
Chris@16: 
Chris@16:         static
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool equals (const_reference t1, const_reference t2) {
Chris@16:             return type_traits<element_type>::equals (t1, t2);
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@16:     template<class M1, class T2>
Chris@16:     struct promote_traits<hermitian_matrix_element<M1>, T2> {
Chris@16:         typedef typename promote_traits<typename hermitian_matrix_element<M1>::value_type, T2>::promote_type promote_type;
Chris@16:     };
Chris@16:     template<class T1, class M2>
Chris@16:     struct promote_traits<T1, hermitian_matrix_element<M2> > {
Chris@16:         typedef typename promote_traits<T1, typename hermitian_matrix_element<M2>::value_type>::promote_type promote_type;
Chris@16:     };
Chris@16:     template<class M1, class M2>
Chris@16:     struct promote_traits<hermitian_matrix_element<M1>, hermitian_matrix_element<M2> > {
Chris@16:         typedef typename promote_traits<typename hermitian_matrix_element<M1>::value_type,
Chris@16:                                         typename hermitian_matrix_element<M2>::value_type>::promote_type promote_type;
Chris@16:     };
Chris@16: 
Chris@16: #endif
Chris@16:     /** \brief A hermitian matrix of values of type \c T
Chris@16:      *
Chris@16:      * For a \f$(n \times n)\f$-dimensional matrix and \f$ 0 \leq i < n, 0 \leq j < n\f$, every element 
Chris@16:      * \f$m_{i,j}\f$ is mapped to the \f$(i.n + j)\f$-th element of the container for row major orientation 
Chris@16:      * or the \f$(i + j.m)\f$-th element of the container for column major orientation. And 
Chris@16:      * \f$\forall i,j\f$, \f$m_{i,j} = \overline{m_{i,j}}\f$.
Chris@16:      *
Chris@16:      * Orientation and storage can also be specified, otherwise a row major and unbounded array are used. 
Chris@16:      * It is \b not required by the storage to initialize elements of the matrix. 
Chris@16:      * Moreover, only the given triangular matrix is stored and the storage of hermitian matrices is packed.
Chris@16:      *
Chris@16:      * See http://en.wikipedia.org/wiki/Hermitian_matrix for more details on hermitian matrices.
Chris@16:      *
Chris@16:      * \tparam T the type of object stored in the matrix (like double, float, complex, etc...)
Chris@16:      * \tparam TRI the type of triangular matrix is either \c lower or \c upper. Default is \c lower
Chris@16:      * \tparam L the storage organization. It is either \c row_major or \c column_major. Default is \c row_major
Chris@16:      * \tparam A the type of Storage array. Default is \unbounded_array.
Chris@16:      */
Chris@16:     template<class T, class TRI, class L, class A>
Chris@16:     class hermitian_matrix:
Chris@16:         public matrix_container<hermitian_matrix<T, TRI, L, A> > {
Chris@16: 
Chris@16:         typedef T &true_reference;
Chris@16:         typedef T *pointer;
Chris@16:         typedef TRI triangular_type;
Chris@16:         typedef L layout_type;
Chris@16:         typedef hermitian_matrix<T, TRI, L, A> self_type;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_container<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef typename A::size_type size_type;
Chris@16:         typedef typename A::difference_type difference_type;
Chris@16:         typedef T value_type;
Chris@16:         // FIXME no better way to not return the address of a temporary?
Chris@16:         // typedef const T &const_reference;
Chris@16:         typedef const T const_reference;
Chris@16: #ifndef BOOST_UBLAS_STRICT_HERMITIAN
Chris@16:         typedef T &reference;
Chris@16: #else
Chris@16:         typedef hermitian_matrix_element<self_type> reference;
Chris@16: #endif
Chris@16:         typedef A array_type;
Chris@16: 
Chris@16:         typedef const matrix_reference<const self_type> const_closure_type;
Chris@16:         typedef matrix_reference<self_type> closure_type;
Chris@16:         typedef vector<T, A> vector_temporary_type;
Chris@16:         typedef matrix<T, L, A> matrix_temporary_type;  // general sub-matrix
Chris@16:         typedef packed_tag storage_category;
Chris@16:         typedef typename L::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix ():
Chris@16:             matrix_container<self_type> (),
Chris@16:             size_ (0), data_ (0) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix (size_type size):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size_ (BOOST_UBLAS_SAME (size, size)), data_ (triangular_type::packed_size (layout_type (), size, size)) {
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix (size_type size1, size_type size2):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size_ (BOOST_UBLAS_SAME (size1, size2)), data_ (triangular_type::packed_size (layout_type (), size1, size2)) {
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix (size_type size, const array_type &data):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size_ (size), data_ (data) {}
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix (const hermitian_matrix &m):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size_ (m.size_), data_ (m.data_) {}
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix (const matrix_expression<AE> &ae):
Chris@16:             matrix_container<self_type> (),
Chris@16:             size_ (BOOST_UBLAS_SAME (ae ().size1 (), ae ().size2 ())),
Chris@16:             data_ (triangular_type::packed_size (layout_type (), size_, size_)) {
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:         }
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return size_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return size_;
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const array_type &data () const {
Chris@16:             return data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         array_type &data () {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Resizing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size, bool preserve = true) {
Chris@16:             if (preserve) {
Chris@16:                 self_type temporary (size, size);
Chris@16:                 detail::matrix_resize_preserve<layout_type, triangular_type> (*this, temporary);
Chris@16:             }
Chris@16:             else {
Chris@16:                 data ().resize (triangular_type::packed_size (layout_type (), size, size));
Chris@16:                 size_ = size;
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize (size_type size1, size_type size2, bool preserve = true) {
Chris@16:             resize (BOOST_UBLAS_SAME (size1, size2), preserve);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void resize_packed_preserve (size_type size) {
Chris@16:             size_ = BOOST_UBLAS_SAME (size, size);
Chris@16:             data ().resize (triangular_type::packed_size (layout_type (), size_, size_), value_type ());
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             BOOST_UBLAS_CHECK (i < size_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size_, bad_index ());
Chris@16:             // if (i == j)
Chris@16:             //    return type_traits<value_type>::real (data () [triangular_type::element (layout_type (), i, size_, i, size_)]);
Chris@16:             // else
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
Chris@16:             else
Chris@16:                 return type_traits<value_type>::conj (data () [triangular_type::element (layout_type (), j, size_, i, size_)]);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference at_element (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (triangular_type::other (i, j), bad_index ());
Chris@16:             return data () [triangular_type::element (layout_type (), i, size_, j, size_)];
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16: #ifndef BOOST_UBLAS_STRICT_HERMITIAN
Chris@16:             if (!triangular_type::other (i, j)) {
Chris@16:                 bad_index ().raise ();
Chris@16:                 // NEVER reached
Chris@16:             }
Chris@16:             return at_element (i, j);
Chris@16: #else
Chris@16:         if (triangular_type::other (i, j))
Chris@16:             return reference (*this, i, j, data () [triangular_type::element (layout_type (), i, size_, j, size_)]);
Chris@16:         else
Chris@16:             return reference (*this, i, j, type_traits<value_type>::conj (data () [triangular_type::element (layout_type (), j, size_, i, size_)]));
Chris@16: #endif
Chris@16:         }
Chris@16: 
Chris@16:         // Element assignemnt
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, const_reference t) {
Chris@16:             BOOST_UBLAS_CHECK (i < size_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size_, bad_index ());
Chris@16:             if (triangular_type::other (i, j)) {
Chris@16:                 return (data () [triangular_type::element (layout_type (), i, size_, j, size_)] = t);
Chris@16:             } else {
Chris@16:                 return (data () [triangular_type::element (layout_type (), j, size_, i, size_)] = type_traits<value_type>::conj (t));
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void erase_element (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size_, bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size_, bad_index ());
Chris@16:             data () [triangular_type::element (layout_type (), i, size_, j, size_)] = value_type/*zero*/();
Chris@16:         }
Chris@16: 
Chris@16:         // Zeroing
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void clear () {
Chris@16:             std::fill (data ().begin (), data ().end (), value_type/*zero*/());
Chris@16:         }
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix &operator = (const hermitian_matrix &m) {
Chris@16:             size_ = m.size_;
Chris@16:             data () = m.data ();
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix &assign_temporary (hermitian_matrix &m) {
Chris@16:             swap (m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix &operator = (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix &assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix& operator += (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this + ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix &plus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_plus_assign> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             self_type temporary (*this - ae);
Chris@16:             return assign_temporary (temporary);
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix &minus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_minus_assign> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix& operator *= (const AT &at) {
Chris@16:             // Multiplication is only allowed for real scalars,
Chris@16:             // otherwise the resulting matrix isn't hermitian.
Chris@16:             // Thanks to Peter Schmitteckert for spotting this.
Chris@16:             BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ());
Chris@16:             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_matrix& operator /= (const AT &at) {
Chris@16:             // Multiplication is only allowed for real scalars,
Chris@16:             // otherwise the resulting matrix isn't hermitian.
Chris@16:             // Thanks to Peter Schmitteckert for spotting this.
Chris@16:             BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ());
Chris@16:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (hermitian_matrix &m) {
Chris@16:             if (this != &m) {
Chris@16:                 std::swap (size_, m.size_);
Chris@16:                 data ().swap (m.data ());
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (hermitian_matrix &m1, hermitian_matrix &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int /* rank */, size_type i, size_type j) const {
Chris@16:             return const_iterator1 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 i = triangular_type::mutable_restrict1 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2());
Chris@16:             return iterator1 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int /* rank */, size_type i, size_type j) const {
Chris@16:             return const_iterator2 (*this, i, j);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 j = triangular_type::mutable_restrict2 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2());
Chris@16:             return iterator2 (*this, i, j);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterators simply are indices.
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<hermitian_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename hermitian_matrix::value_type value_type;
Chris@16:             typedef typename hermitian_matrix::difference_type difference_type;
Chris@16:             typedef typename hermitian_matrix::const_reference reference;
Chris@16:             typedef const typename hermitian_matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, size_type it1, size_type it2):
Chris@16:                 container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 return (*this) () (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 return (*this) ().find2 (1, it1_, 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 return (*this) ().find2 (1, it1_, (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size_, 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<hermitian_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename hermitian_matrix::value_type value_type;
Chris@16:             typedef typename hermitian_matrix::difference_type difference_type;
Chris@16:             typedef typename hermitian_matrix::true_reference reference;
Chris@16:             typedef typename hermitian_matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator2 dual_iterator_type;
Chris@16:             typedef reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 ():
Chris@16:                 container_reference<self_type> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, size_type it1, size_type it2):
Chris@16:                 container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 return (*this) ().at_element (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 return (*this) ().find2 (1, it1_, 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 end () const {
Chris@16:                 return (*this) ().find2 (1, it1_, (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator = (const iterator1 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size_, 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<hermitian_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename hermitian_matrix::value_type value_type;
Chris@16:             typedef typename hermitian_matrix::difference_type difference_type;
Chris@16:             typedef typename hermitian_matrix::const_reference reference;
Chris@16:             typedef const typename hermitian_matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, size_type it1, size_type it2):
Chris@16:                 container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 return (*this) () (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 return (*this) ().find1 (1, 0, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 return (*this) ().find1 (1, (*this) ().size1 (), it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_iterator1 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size_);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<hermitian_matrix>,
Chris@16:             public random_access_iterator_base<packed_random_access_iterator_tag,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename hermitian_matrix::value_type value_type;
Chris@16:             typedef typename hermitian_matrix::difference_type difference_type;
Chris@16:             typedef typename hermitian_matrix::true_reference reference;
Chris@16:             typedef typename hermitian_matrix::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator1 dual_iterator_type;
Chris@16:             typedef reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 ():
Chris@16:                 container_reference<self_type> (), it1_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, size_type it1, size_type it2):
Chris@16:                 container_reference<self_type> (m), it1_ (it1), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 return (*this) ().at_element (it1_, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 return (*this) ().find1 (1, 0, it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 end () const {
Chris@16:                 return (*this) ().find1 (1, (*this) ().size1 (), it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator = (const iterator2 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             size_type it1_;
Chris@16:             size_type it2_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size_);
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         size_type size_;
Chris@16:         array_type data_;
Chris@16:     };
Chris@16: 
Chris@16:     /** \brief A Hermitian matrix adaptator: convert a any matrix into a Hermitian matrix expression
Chris@16:      *
Chris@16:      * For a \f$(m\times n)\f$-dimensional matrix, the \c hermitian_adaptor will provide a hermitian matrix.
Chris@16:      * Storage and location are based on those of the underlying matrix. This is important because
Chris@16:      * a \c hermitian_adaptor does not copy the matrix data to a new place. Therefore, modifying values
Chris@16:      * in a \c hermitian_adaptor matrix will also modify the underlying matrix too.
Chris@16:      *
Chris@16:      * \tparam M the type of matrix used to generate a hermitian matrix
Chris@16:      */
Chris@16:     template<class M, class TRI>
Chris@16:     class hermitian_adaptor:
Chris@16:         public matrix_expression<hermitian_adaptor<M, TRI> > {
Chris@16: 
Chris@16:         typedef hermitian_adaptor<M, TRI> self_type;
Chris@16:         typedef typename M::value_type &true_reference;
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS
Chris@16:         using matrix_expression<self_type>::operator ();
Chris@16: #endif
Chris@16:         typedef const M const_matrix_type;
Chris@16:         typedef M matrix_type;
Chris@16:         typedef TRI triangular_type;
Chris@16:         typedef typename M::size_type size_type;
Chris@16:         typedef typename M::difference_type difference_type;
Chris@16:         typedef typename M::value_type value_type;
Chris@16:         typedef typename M::value_type const_reference;
Chris@16: #ifndef BOOST_UBLAS_STRICT_HERMITIAN
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::value_type,
Chris@16:                                           typename M::reference>::type reference;
Chris@16: #else
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::value_type,
Chris@16:                                           hermitian_matrix_element<self_type> >::type reference;
Chris@16: #endif
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_closure_type,
Chris@16:                                           typename M::closure_type>::type matrix_closure_type;
Chris@16:         typedef const self_type const_closure_type;
Chris@16:         typedef self_type closure_type;
Chris@16:         // Replaced by _temporary_traits to avoid type requirements on M
Chris@16:         //typedef typename M::vector_temporary_type vector_temporary_type;
Chris@16:         //typedef typename M::matrix_temporary_type matrix_temporary_type;
Chris@16:         typedef typename storage_restrict_traits<typename M::storage_category,
Chris@16:                                                  packed_proxy_tag>::storage_category storage_category;
Chris@16:         typedef typename M::orientation_category orientation_category;
Chris@16: 
Chris@16:         // Construction and destruction
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor (matrix_type &data):
Chris@16:             matrix_expression<self_type> (),
Chris@16:             data_ (data) {
Chris@16:             BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor (const hermitian_adaptor &m):
Chris@16:             matrix_expression<self_type> (),
Chris@16:             data_ (m.data_) {
Chris@16:             BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ());
Chris@16:         }
Chris@16: 
Chris@16:         // Accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size1 () const {
Chris@16:             return data_.size1 ();
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         size_type size2 () const {
Chris@16:             return data_.size2 ();
Chris@16:         }
Chris@16: 
Chris@16:         // Storage accessors
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const matrix_closure_type &data () const {
Chris@16:             return data_;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         matrix_closure_type &data () {
Chris@16:             return data_;
Chris@16:         }
Chris@16: 
Chris@16:         // Element access
Chris@16: #ifndef BOOST_UBLAS_PROXY_CONST_MEMBER
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reference operator () (size_type i, size_type j) const {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16:             // if (i == j)
Chris@16:             //     return type_traits<value_type>::real (data () (i, i));
Chris@16:             // else
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () (i, j);
Chris@16:             else
Chris@16:                 return type_traits<value_type>::conj (data () (j, i));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16: #ifndef BOOST_UBLAS_STRICT_HERMITIAN
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () (i, j);
Chris@16:             else {
Chris@16:                 external_logic ().raise ();
Chris@16:                 return conj_ = type_traits<value_type>::conj (data () (j, i));
Chris@16:             }
Chris@16: #else
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return reference (*this, i, j, data () (i, j));
Chris@16:             else
Chris@16:                 return reference (*this, i, j, type_traits<value_type>::conj (data () (j, i)));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, value_type t) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16:             // if (i == j)
Chris@16:             //     data () (i, i) = type_traits<value_type>::real (t);
Chris@16:             // else
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () (i, j) = t;
Chris@16:             else
Chris@16:                 return data () (j, i) = type_traits<value_type>::conj (t);
Chris@16:         }
Chris@16: #else
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reference operator () (size_type i, size_type j) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16: #ifndef BOOST_UBLAS_STRICT_HERMITIAN
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () (i, j);
Chris@16:             else {
Chris@16:                 external_logic ().raise ();
Chris@16:                 return conj_ = type_traits<value_type>::conj (data () (j, i));
Chris@16:             }
Chris@16: #else
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return reference (*this, i, j, data () (i, j));
Chris@16:             else
Chris@16:                 return reference (*this, i, j, type_traits<value_type>::conj (data () (j, i)));
Chris@16: #endif
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         true_reference insert_element (size_type i, size_type j, value_type t) {
Chris@16:             BOOST_UBLAS_CHECK (i < size1 (), bad_index ());
Chris@16:             BOOST_UBLAS_CHECK (j < size2 (), bad_index ());
Chris@16:             // if (i == j)
Chris@16:             //     data () (i, i) = type_traits<value_type>::real (t);
Chris@16:             // else
Chris@16:             if (triangular_type::other (i, j))
Chris@16:                 return data () (i, j) = t;
Chris@16:             else
Chris@16:                 return data () (j, i) = type_traits<value_type>::conj (t);
Chris@16:         }
Chris@16: #endif
Chris@16: 
Chris@16:         // Assignment
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor &operator = (const hermitian_adaptor &m) {
Chris@16:             matrix_assign<scalar_assign, triangular_type> (*this, m);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor &assign_temporary (hermitian_adaptor &m) {
Chris@16:             *this = m;
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor &operator = (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (ae));
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor &assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign, triangular_type> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor& operator += (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this + ae));
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor &plus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_plus_assign, triangular_type> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor& operator -= (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this - ae));
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AE>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor &minus_assign (const matrix_expression<AE> &ae) {
Chris@16:             matrix_assign<scalar_minus_assign, triangular_type> (*this, ae);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor& operator *= (const AT &at) {
Chris@16:             // Multiplication is only allowed for real scalars,
Chris@16:             // otherwise the resulting matrix isn't hermitian.
Chris@16:             // Thanks to Peter Schmitteckert for spotting this.
Chris@16:             BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ());
Chris@16:             matrix_assign_scalar<scalar_multiplies_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16:         template<class AT>
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         hermitian_adaptor& operator /= (const AT &at) {
Chris@16:             // Multiplication is only allowed for real scalars,
Chris@16:             // otherwise the resulting matrix isn't hermitian.
Chris@16:             // Thanks to Peter Schmitteckert for spotting this.
Chris@16:             BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ());
Chris@16:             matrix_assign_scalar<scalar_divides_assign> (*this, at);
Chris@16:             return *this;
Chris@16:         }
Chris@16: 
Chris@16:         // Closure comparison
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         bool same_closure (const hermitian_adaptor &ha) const {
Chris@16:             return (*this).data ().same_closure (ha.data ());
Chris@16:         }
Chris@16: 
Chris@16:         // Swapping
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         void swap (hermitian_adaptor &m) {
Chris@16:             if (this != &m)
Chris@16:                 matrix_swap<scalar_swap, triangular_type> (*this, m);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         friend void swap (hermitian_adaptor &m1, hermitian_adaptor &m2) {
Chris@16:             m1.swap (m2);
Chris@16:         }
Chris@16: 
Chris@16:         // Iterator types
Chris@16:     private:
Chris@16:         // Use matrix iterator
Chris@16:         typedef typename M::const_iterator1 const_subiterator1_type;
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_iterator1,
Chris@16:                                           typename M::iterator1>::type subiterator1_type;
Chris@16:         typedef typename M::const_iterator2 const_subiterator2_type;
Chris@16:         typedef typename boost::mpl::if_<boost::is_const<M>,
Chris@16:                                           typename M::const_iterator2,
Chris@16:                                           typename M::iterator2>::type subiterator2_type;
Chris@16: 
Chris@16:     public:
Chris@16: #ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1;
Chris@16:         typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2;
Chris@16:         typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1;
Chris@16:         typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2;
Chris@16: #else
Chris@16:         class const_iterator1;
Chris@16:         class iterator1;
Chris@16:         class const_iterator2;
Chris@16:         class iterator2;
Chris@16: #endif
Chris@16:         typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1;
Chris@16:         typedef reverse_iterator_base1<iterator1> reverse_iterator1;
Chris@16:         typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2;
Chris@16:         typedef reverse_iterator_base2<iterator2> reverse_iterator2;
Chris@16: 
Chris@16:         // Element lookup
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 find1 (int rank, size_type i, size_type j) const {
Chris@16:             if (triangular_type::other (i, j)) {
Chris@16:                 if (triangular_type::other (size1 (), j)) {
Chris@16:                     return const_iterator1 (*this, 0, 0,
Chris@16:                                             data ().find1 (rank, i, j), data ().find1 (rank, size1 (), j),
Chris@16:                                             data ().find2 (rank, size2 (), size1 ()), data ().find2 (rank, size2 (), size1 ()));
Chris@16:                 } else {
Chris@16:                     return const_iterator1 (*this, 0, 1,
Chris@16:                                             data ().find1 (rank, i, j), data ().find1 (rank, j, j),
Chris@16:                                             data ().find2 (rank, j, j), data ().find2 (rank, j, size1 ()));
Chris@16:                 }
Chris@16:             } else {
Chris@16:                 if (triangular_type::other (size1 (), j)) {
Chris@16:                     return const_iterator1 (*this, 1, 0,
Chris@16:                                             data ().find1 (rank, j, j), data ().find1 (rank, size1 (), j),
Chris@16:                                             data ().find2 (rank, j, i), data ().find2 (rank, j, j));
Chris@16:                 } else {
Chris@16:                     return const_iterator1 (*this, 1, 1,
Chris@16:                                             data ().find1 (rank, size1 (), size2 ()), data ().find1 (rank, size1 (), size2 ()),
Chris@16:                                             data ().find2 (rank, j, i), data ().find2 (rank, j, size1 ()));
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 find1 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 i = triangular_type::mutable_restrict1 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2());
Chris@16:             return iterator1 (*this, data ().find1 (rank, i, j));
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 find2 (int rank, size_type i, size_type j) const {
Chris@16:             if (triangular_type::other (i, j)) {
Chris@16:                 if (triangular_type::other (i, size2 ())) {
Chris@16:                     return const_iterator2 (*this, 1, 1,
Chris@16:                                             data ().find1 (rank, size2 (), size1 ()), data ().find1 (rank, size2 (), size1 ()),
Chris@16:                                             data ().find2 (rank, i, j), data ().find2 (rank, i, size2 ()));
Chris@16:                 } else {
Chris@16:                     return const_iterator2 (*this, 1, 0,
Chris@16:                                             data ().find1 (rank, i, i), data ().find1 (rank, size2 (), i),
Chris@16:                                             data ().find2 (rank, i, j), data ().find2 (rank, i, i));
Chris@16:                 }
Chris@16:             } else {
Chris@16:                 if (triangular_type::other (i, size2 ())) {
Chris@16:                     return const_iterator2 (*this, 0, 1,
Chris@16:                                             data ().find1 (rank, j, i), data ().find1 (rank, i, i),
Chris@16:                                             data ().find2 (rank, i, i), data ().find2 (rank, i, size2 ()));
Chris@16:                 } else {
Chris@16:                     return const_iterator2 (*this, 0, 0,
Chris@16:                                             data ().find1 (rank, j, i), data ().find1 (rank, size2 (), i),
Chris@16:                                             data ().find2 (rank, size1 (), size2 ()), data ().find2 (rank, size2 (), size2 ()));
Chris@16:                 }
Chris@16:             }
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 find2 (int rank, size_type i, size_type j) {
Chris@16:             if (rank == 1)
Chris@16:                 j = triangular_type::mutable_restrict2 (i, j, size1(), size2());
Chris@16:             if (rank == 0)
Chris@16:                 j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2());
Chris@16:             return iterator2 (*this, data ().find2 (rank, i, j));
Chris@16:         }
Chris@16: 
Chris@16:         // Iterators simply are indices.
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator1:
Chris@16:             public container_const_reference<hermitian_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename const_subiterator1_type::iterator_category, dense_random_access_iterator_tag>::iterator_category,
Chris@16:                                                const_iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename const_subiterator1_type::value_type value_type;
Chris@16:             typedef typename const_subiterator1_type::difference_type difference_type;
Chris@16:             // FIXME no better way to not return the address of a temporary?
Chris@16:             // typedef typename const_subiterator1_type::reference reference;
Chris@16:             typedef typename const_subiterator1_type::value_type reference;
Chris@16:             typedef typename const_subiterator1_type::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator2 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 ():
Chris@16:                 container_const_reference<self_type> (),
Chris@16:                 begin_ (-1), end_ (-1), current_ (-1),
Chris@16:                 it1_begin_ (), it1_end_ (), it1_ (),
Chris@16:                 it2_begin_ (), it2_end_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const self_type &m, int begin, int end,
Chris@16:                              const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end,
Chris@16:                              const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end):
Chris@16:                 container_const_reference<self_type> (m),
Chris@16:                 begin_ (begin), end_ (end), current_ (begin),
Chris@16:                 it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_),
Chris@16:                 it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) {
Chris@16:                 if (current_ == 0 && it1_ == it1_end_)
Chris@16:                     current_ = 1;
Chris@16:                 if (current_ == 1 && it2_ == it2_end_)
Chris@16:                     current_ = 0;
Chris@16:                 if ((current_ == 0 && it1_ == it1_end_) ||
Chris@16:                     (current_ == 1 && it2_ == it2_end_))
Chris@16:                     current_ = end_;
Chris@16:                 BOOST_UBLAS_CHECK (current_ == end_ ||
Chris@16:                                    (current_ == 0 && it1_ != it1_end_) ||
Chris@16:                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
Chris@16:             }
Chris@16:             // FIXME cannot compile
Chris@16:             //  iterator1 does not have these members!
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 (const iterator1 &it):
Chris@16:                 container_const_reference<self_type> (it ()),
Chris@16:                 begin_ (it.begin_), end_ (it.end_), current_ (it.current_),
Chris@16:                 it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_),
Chris@16:                 it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == end_ ||
Chris@16:                                    (current_ == 0 && it1_ != it1_end_) ||
Chris@16:                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
Chris@16:             }
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator ++ () {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     ++ it1_;
Chris@16:                     if (it1_ == it1_end_ && end_ == 1) {
Chris@16:                         it2_ = it2_begin_;
Chris@16:                         current_ = 1;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     ++ it2_;
Chris@16:                     if (it2_ == it2_end_ && end_ == 0) {
Chris@16:                         it1_ = it1_begin_;
Chris@16:                         current_ = 0;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -- () {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     if (it1_ == it1_begin_ && begin_ == 1) {
Chris@16:                         it2_ = it2_end_;
Chris@16:                         BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ());
Chris@16:                         -- it2_;
Chris@16:                         current_ = 1;
Chris@16:                     } else {
Chris@16:                         -- it1_;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     if (it2_ == it2_begin_ && begin_ == 0) {
Chris@16:                         it1_ = it1_end_;
Chris@16:                         BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ());
Chris@16:                         -- it1_;
Chris@16:                         current_ = 0;
Chris@16:                     } else {
Chris@16:                         -- it2_;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator += (difference_type n) {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     size_type d = (std::min) (n, it1_end_ - it1_);
Chris@16:                     it1_ += d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0 || (end_ == 1 && it1_ == it1_end_)) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
Chris@16:                         d = (std::min) (n, it2_end_ - it2_begin_);
Chris@16:                         it2_ = it2_begin_ + d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 1;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     size_type d = (std::min) (n, it2_end_ - it2_);
Chris@16:                     it2_ += d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0 || (end_ == 0 && it2_ == it2_end_)) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
Chris@16:                         d = (std::min) (n, it1_end_ - it1_begin_);
Chris@16:                         it1_ = it1_begin_ + d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 0;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator -= (difference_type n) {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     size_type d = (std::min) (n, it1_ - it1_begin_);
Chris@16:                     it1_ -= d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
Chris@16:                         d = (std::min) (n, it2_end_ - it2_begin_);
Chris@16:                         it2_ = it2_end_ - d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 1;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     size_type d = (std::min) (n, it2_ - it2_begin_);
Chris@16:                     it2_ -= d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
Chris@16:                         d = (std::min) (n, it1_end_ - it1_begin_);
Chris@16:                         it1_ = it1_end_ - d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 0;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
Chris@16:                 if (current_ == 0 && it.current_ == 0) {
Chris@16:                     return it1_ - it.it1_;
Chris@16:                 } else if (current_ == 0 && it.current_ == 1) {
Chris@16:                     if (end_ == 1 && it.end_ == 1) {
Chris@16:                         return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_);
Chris@16:                     } else /* if (end_ == 0 && it.end_ == 0) */ {
Chris@16:                         return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_);
Chris@16:                     }
Chris@16: 
Chris@16:                 } else if (current_ == 1 && it.current_ == 0) {
Chris@16:                     if (end_ == 1 && it.end_ == 1) {
Chris@16:                         return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_);
Chris@16:                     } else /* if (end_ == 0 && it.end_ == 0) */ {
Chris@16:                         return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_);
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1 && it.current_ == 1) */ {
Chris@16:                     return it2_ - it.it2_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     if (triangular_type::other (index1 (), index2 ()))
Chris@16:                         return *it1_;
Chris@16:                     else
Chris@16:                         return type_traits<value_type>::conj (*it1_);
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     if (triangular_type::other (index1 (), index2 ()))
Chris@16:                         return *it2_;
Chris@16:                     else
Chris@16:                         return type_traits<value_type>::conj (*it2_);
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator2 begin () const {
Chris@16:                 return (*this) ().find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator2 end () const {
Chris@16:                 return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator2 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rbegin () const {
Chris@16:                 return const_reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator2 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator2 rend () const {
Chris@16:                 return const_reverse_iterator2 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator2 crend () const {
Chris@101:                 return rend ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     return it1_.index1 ();
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     return it2_.index2 ();
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     return it1_.index2 ();
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     return it2_.index1 ();
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator1 &operator = (const const_iterator1 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 begin_ = it.begin_;
Chris@16:                 end_ = it.end_;
Chris@16:                 current_ = it.current_;
Chris@16:                 it1_begin_ = it.it1_begin_;
Chris@16:                 it1_end_ = it.it1_end_;
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_begin_ = it.it2_begin_;
Chris@16:                 it2_end_ = it.it2_end_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
Chris@16:                 return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) ||
Chris@16:                        (current_ == 1 && it.current_ == 1 && it2_ == it.it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it - *this > 0;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int begin_;
Chris@16:             int end_;
Chris@16:             int current_;
Chris@16:             const_subiterator1_type it1_begin_;
Chris@16:             const_subiterator1_type it1_end_;
Chris@16:             const_subiterator1_type it1_;
Chris@16:             const_subiterator2_type it2_begin_;
Chris@16:             const_subiterator2_type it2_end_;
Chris@16:             const_subiterator2_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 begin1 () const {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cbegin1 () const {
Chris@101:             return begin1 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator1 end1 () const {
Chris@16:             return find1 (0, size1 (), 0);
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator1 cend1 () const {
Chris@101:             return end1 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator1:
Chris@16:             public container_reference<hermitian_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
Chris@16:                                                iterator1, value_type> {
Chris@16:         public:
Chris@16:             typedef typename subiterator1_type::value_type value_type;
Chris@16:             typedef typename subiterator1_type::difference_type difference_type;
Chris@16:             typedef typename subiterator1_type::reference reference;
Chris@16:             typedef typename subiterator1_type::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator2 dual_iterator_type;
Chris@16:             typedef reverse_iterator2 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 ():
Chris@16:                 container_reference<self_type> (), it1_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 (self_type &m, const subiterator1_type &it1):
Chris@16:                 container_reference<self_type> (m), it1_ (it1) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator ++ () {
Chris@16:                 ++ it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -- () {
Chris@16:                 -- it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator += (difference_type n) {
Chris@16:                 it1_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator -= (difference_type n) {
Chris@16:                 it1_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ - it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 return *it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 begin () const {
Chris@16:                 return (*this) ().find2 (1, index1 (), 0);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator2 end () const {
Chris@16:                 return (*this) ().find2 (1, index1 (), (*this) ().size2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rbegin () const {
Chris@16:                 return reverse_iterator2 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator2 rend () const {
Chris@16:                 return reverse_iterator2 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it1_.index1 ();
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it1_.index2 ();
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator1 &operator = (const iterator1 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it1_ = it.it1_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ == it.it1_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator1 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it1_ < it.it1_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator1_type it1_;
Chris@16: 
Chris@16:             friend class const_iterator1;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 begin1 () {
Chris@16:             return find1 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator1 end1 () {
Chris@16:             return find1 (0, size1 (), 0);
Chris@16:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class const_iterator2:
Chris@16:             public container_const_reference<hermitian_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:             typename const_subiterator2_type::iterator_category, dense_random_access_iterator_tag>::iterator_category,
Chris@16:                                                const_iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename const_subiterator2_type::value_type value_type;
Chris@16:             typedef typename const_subiterator2_type::difference_type difference_type;
Chris@16:             // FIXME no better way to not return the address of a temporary?
Chris@16:             // typedef typename const_subiterator2_type::reference reference;
Chris@16:             typedef typename const_subiterator2_type::value_type reference;
Chris@16:             typedef typename const_subiterator2_type::pointer pointer;
Chris@16: 
Chris@16:             typedef const_iterator1 dual_iterator_type;
Chris@16:             typedef const_reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 ():
Chris@16:                 container_const_reference<self_type> (),
Chris@16:                 begin_ (-1), end_ (-1), current_ (-1),
Chris@16:                 it1_begin_ (), it1_end_ (), it1_ (),
Chris@16:                 it2_begin_ (), it2_end_ (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const self_type &m, int begin, int end,
Chris@16:                              const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end,
Chris@16:                              const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end):
Chris@16:                 container_const_reference<self_type> (m),
Chris@16:                 begin_ (begin), end_ (end), current_ (begin),
Chris@16:                 it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_),
Chris@16:                 it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) {
Chris@16:                 if (current_ == 0 && it1_ == it1_end_)
Chris@16:                     current_ = 1;
Chris@16:                 if (current_ == 1 && it2_ == it2_end_)
Chris@16:                     current_ = 0;
Chris@16:                 if ((current_ == 0 && it1_ == it1_end_) ||
Chris@16:                     (current_ == 1 && it2_ == it2_end_))
Chris@16:                     current_ = end_;
Chris@16:                 BOOST_UBLAS_CHECK (current_ == end_ ||
Chris@16:                                    (current_ == 0 && it1_ != it1_end_) ||
Chris@16:                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
Chris@16:             }
Chris@16:             // FIXME cannot compiler
Chris@16:             //  iterator2 does not have these members!
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 (const iterator2 &it):
Chris@16:                 container_const_reference<self_type> (it ()),
Chris@16:                 begin_ (it.begin_), end_ (it.end_), current_ (it.current_),
Chris@16:                 it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_),
Chris@16:                 it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == end_ ||
Chris@16:                                    (current_ == 0 && it1_ != it1_end_) ||
Chris@16:                                    (current_ == 1 && it2_ != it2_end_), internal_logic ());
Chris@16:             }
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator ++ () {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     ++ it1_;
Chris@16:                     if (it1_ == it1_end_ && end_ == 1) {
Chris@16:                         it2_ = it2_begin_;
Chris@16:                         current_ = 1;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     ++ it2_;
Chris@16:                     if (it2_ == it2_end_ && end_ == 0) {
Chris@16:                         it1_ = it1_begin_;
Chris@16:                         current_ = 0;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -- () {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     if (it1_ == it1_begin_ && begin_ == 1) {
Chris@16:                         it2_ = it2_end_;
Chris@16:                         BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ());
Chris@16:                         -- it2_;
Chris@16:                         current_ = 1;
Chris@16:                     } else {
Chris@16:                         -- it1_;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     if (it2_ == it2_begin_ && begin_ == 0) {
Chris@16:                         it1_ = it1_end_;
Chris@16:                         BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ());
Chris@16:                         -- it1_;
Chris@16:                         current_ = 0;
Chris@16:                     } else {
Chris@16:                         -- it2_;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator += (difference_type n) {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     size_type d = (std::min) (n, it1_end_ - it1_);
Chris@16:                     it1_ += d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0 || (end_ == 1 && it1_ == it1_end_)) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
Chris@16:                         d = (std::min) (n, it2_end_ - it2_begin_);
Chris@16:                         it2_ = it2_begin_ + d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 1;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     size_type d = (std::min) (n, it2_end_ - it2_);
Chris@16:                     it2_ += d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0 || (end_ == 0 && it2_ == it2_end_)) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
Chris@16:                         d = (std::min) (n, it1_end_ - it1_begin_);
Chris@16:                         it1_ = it1_begin_ + d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 0;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator -= (difference_type n) {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     size_type d = (std::min) (n, it1_ - it1_begin_);
Chris@16:                     it1_ -= d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 1, external_logic ());
Chris@16:                         d = (std::min) (n, it2_end_ - it2_begin_);
Chris@16:                         it2_ = it2_end_ - d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 1;
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     size_type d = (std::min) (n, it2_ - it2_begin_);
Chris@16:                     it2_ -= d;
Chris@16:                     n -= d;
Chris@16:                     if (n > 0) {
Chris@16:                         BOOST_UBLAS_CHECK (end_ == 0, external_logic ());
Chris@16:                         d = (std::min) (n, it1_end_ - it1_begin_);
Chris@16:                         it1_ = it1_end_ - d;
Chris@16:                         n -= d;
Chris@16:                         current_ = 0;
Chris@16:                     }
Chris@16:                 }
Chris@16:                 BOOST_UBLAS_CHECK (n == 0, external_logic ());
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
Chris@16:                 if (current_ == 0 && it.current_ == 0) {
Chris@16:                     return it1_ - it.it1_;
Chris@16:                 } else if (current_ == 0 && it.current_ == 1) {
Chris@16:                     if (end_ == 1 && it.end_ == 1) {
Chris@16:                         return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_);
Chris@16:                     } else /* if (end_ == 0 && it.end_ == 0) */ {
Chris@16:                         return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_);
Chris@16:                     }
Chris@16: 
Chris@16:                 } else if (current_ == 1 && it.current_ == 0) {
Chris@16:                     if (end_ == 1 && it.end_ == 1) {
Chris@16:                         return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_);
Chris@16:                     } else /* if (end_ == 0 && it.end_ == 0) */ {
Chris@16:                         return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_);
Chris@16:                     }
Chris@16:                 } else /* if (current_ == 1 && it.current_ == 1) */ {
Chris@16:                     return it2_ - it.it2_;
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator * () const {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     if (triangular_type::other (index1 (), index2 ()))
Chris@16:                         return *it1_;
Chris@16:                     else
Chris@16:                         return type_traits<value_type>::conj (*it1_);
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     if (triangular_type::other (index1 (), index2 ()))
Chris@16:                         return *it2_;
Chris@16:                     else
Chris@16:                         return type_traits<value_type>::conj (*it2_);
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             const_iterator1 begin () const {
Chris@16:                 return (*this) ().find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cbegin () const {
Chris@101:                 return begin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_iterator1 end () const {
Chris@16:                 return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_iterator1 cend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rbegin () const {
Chris@16:                 return const_reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@101:             const_reverse_iterator1 crbegin () const {
Chris@101:                 return rbegin ();
Chris@101:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@16:             const_reverse_iterator1 rend () const {
Chris@16:                 return const_reverse_iterator1 (begin ());
Chris@16:             }
Chris@101:             BOOST_UBLAS_INLINE
Chris@101: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@101:             typename self_type::
Chris@101: #endif
Chris@101:             const_reverse_iterator1 crend () const {
Chris@101:                 return end ();
Chris@101:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     return it1_.index2 ();
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     return it2_.index1 ();
Chris@16:                 }
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 if (current_ == 0) {
Chris@16:                     BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ());
Chris@16:                     return it1_.index1 ();
Chris@16:                 } else /* if (current_ == 1) */ {
Chris@16:                     BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ());
Chris@16:                     return it2_.index2 ();
Chris@16:                 }
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             const_iterator2 &operator = (const const_iterator2 &it) {
Chris@16:                 container_const_reference<self_type>::assign (&it ());
Chris@16:                 begin_ = it.begin_;
Chris@16:                 end_ = it.end_;
Chris@16:                 current_ = it.current_;
Chris@16:                 it1_begin_ = it.it1_begin_;
Chris@16:                 it1_end_ = it.it1_end_;
Chris@16:                 it1_ = it.it1_;
Chris@16:                 it2_begin_ = it.it2_begin_;
Chris@16:                 it2_end_ = it.it2_end_;
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ());
Chris@16:                 BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ());
Chris@16:                 return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) ||
Chris@16:                        (current_ == 1 && it.current_ == 1 && it2_ == it.it2_);
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const const_iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it - *this > 0;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             int begin_;
Chris@16:             int end_;
Chris@16:             int current_;
Chris@16:             const_subiterator1_type it1_begin_;
Chris@16:             const_subiterator1_type it1_end_;
Chris@16:             const_subiterator1_type it1_;
Chris@16:             const_subiterator2_type it2_begin_;
Chris@16:             const_subiterator2_type it2_end_;
Chris@16:             const_subiterator2_type it2_;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 begin2 () const {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cbegin2 () const {
Chris@101:             return begin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_iterator2 end2 () const {
Chris@16:             return find2 (0, 0, size2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_iterator2 cend2 () const {
Chris@101:             return end2 ();
Chris@101:         }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR
Chris@16:         class iterator2:
Chris@16:             public container_reference<hermitian_adaptor>,
Chris@16:             public random_access_iterator_base<typename iterator_restrict_traits<
Chris@16:                                                    typename subiterator2_type::iterator_category, packed_random_access_iterator_tag>::iterator_category,
Chris@16:                                                iterator2, value_type> {
Chris@16:         public:
Chris@16:             typedef typename subiterator2_type::value_type value_type;
Chris@16:             typedef typename subiterator2_type::difference_type difference_type;
Chris@16:             typedef typename subiterator2_type::reference reference;
Chris@16:             typedef typename subiterator2_type::pointer pointer;
Chris@16: 
Chris@16:             typedef iterator1 dual_iterator_type;
Chris@16:             typedef reverse_iterator1 dual_reverse_iterator_type;
Chris@16: 
Chris@16:             // Construction and destruction
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 ():
Chris@16:                 container_reference<self_type> (), it2_ () {}
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 (self_type &m, const subiterator2_type &it2):
Chris@16:                 container_reference<self_type> (m), it2_ (it2) {}
Chris@16: 
Chris@16:             // Arithmetic
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator ++ () {
Chris@16:                 ++ it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -- () {
Chris@16:                 -- it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator += (difference_type n) {
Chris@16:                 it2_ += n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator -= (difference_type n) {
Chris@16:                 it2_ -= n;
Chris@16:                 return *this;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             difference_type operator - (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ - it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:             // Dereference
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator * () const {
Chris@16:                 return *it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             reference operator [] (difference_type n) const {
Chris@16:                 return *(*this + n);
Chris@16:             }
Chris@16: 
Chris@16: #ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 begin () const {
Chris@16:                 return (*this) ().find1 (1, 0, index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             iterator1 end () const {
Chris@16:                 return (*this) ().find1 (1, (*this) ().size1 (), index2 ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rbegin () const {
Chris@16:                 return reverse_iterator1 (end ());
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16: #ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION
Chris@16:             typename self_type::
Chris@16: #endif
Chris@16:             reverse_iterator1 rend () const {
Chris@16:                 return reverse_iterator1 (begin ());
Chris@16:             }
Chris@16: #endif
Chris@16: 
Chris@16:             // Indices
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index1 () const {
Chris@16:                 return it2_.index1 ();
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             size_type index2 () const {
Chris@16:                 return it2_.index2 ();
Chris@16:             }
Chris@16: 
Chris@16:             // Assignment
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             iterator2 &operator = (const iterator2 &it) {
Chris@16:                 container_reference<self_type>::assign (&it ());
Chris@16:                 it2_ = it.it2_;
Chris@16:                 return *this;
Chris@16:             }
Chris@16: 
Chris@16:             // Comparison
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator == (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ == it.it2_;
Chris@16:             }
Chris@16:             BOOST_UBLAS_INLINE
Chris@16:             bool operator < (const iterator2 &it) const {
Chris@16:                 BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ());
Chris@16:                 return it2_ < it.it2_;
Chris@16:             }
Chris@16: 
Chris@16:         private:
Chris@16:             subiterator2_type it2_;
Chris@16: 
Chris@16:             friend class const_iterator2;
Chris@16:         };
Chris@16: #endif
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 begin2 () {
Chris@16:             return find2 (0, 0, 0);
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         iterator2 end2 () {
Chris@16:             return find2 (0, 0, size2 ());
Chris@16:         }
Chris@16: 
Chris@16:         // Reverse iterators
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rbegin1 () const {
Chris@16:             return const_reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crbegin1 () const {
Chris@101:             return rbegin1();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator1 rend1 () const {
Chris@16:             return const_reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator1 crend1 () const {
Chris@101:             return rend1 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rbegin1 () {
Chris@16:             return reverse_iterator1 (end1 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator1 rend1 () {
Chris@16:             return reverse_iterator1 (begin1 ());
Chris@16:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rbegin2 () const {
Chris@16:             return const_reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crbegin2 () const {
Chris@101:             return rbegin2 ();
Chris@101:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@16:         const_reverse_iterator2 rend2 () const {
Chris@16:             return const_reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@101:         BOOST_UBLAS_INLINE
Chris@101:         const_reverse_iterator2 crend2 () const {
Chris@101:             return rend2 ();
Chris@101:         }
Chris@16: 
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rbegin2 () {
Chris@16:             return reverse_iterator2 (end2 ());
Chris@16:         }
Chris@16:         BOOST_UBLAS_INLINE
Chris@16:         reverse_iterator2 rend2 () {
Chris@16:             return reverse_iterator2 (begin2 ());
Chris@16:         }
Chris@16: 
Chris@16:     private:
Chris@16:         matrix_closure_type data_;
Chris@16:         static value_type conj_;
Chris@16:     };
Chris@16: 
Chris@16:     template<class M, class TRI>
Chris@16:     typename hermitian_adaptor<M, TRI>::value_type hermitian_adaptor<M, TRI>::conj_;
Chris@16: 
Chris@16:     // Specialization for temporary_traits
Chris@16:     template <class M, class TRI>
Chris@16:     struct vector_temporary_traits< hermitian_adaptor<M, TRI> >
Chris@16:     : vector_temporary_traits< M > {} ;
Chris@16:     template <class M, class TRI>
Chris@16:     struct vector_temporary_traits< const hermitian_adaptor<M, TRI> >
Chris@16:     : vector_temporary_traits< M > {} ;
Chris@16: 
Chris@16:     template <class M, class TRI>
Chris@16:     struct matrix_temporary_traits< hermitian_adaptor<M, TRI> >
Chris@16:     : matrix_temporary_traits< M > {} ;
Chris@16:     template <class M, class TRI>
Chris@16:     struct matrix_temporary_traits< const hermitian_adaptor<M, TRI> >
Chris@16:     : matrix_temporary_traits< M > {} ;
Chris@16: 
Chris@16: }}}
Chris@16: 
Chris@16: #endif