diff options
Diffstat (limited to 'inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/numeric/ublas/hermitian.hpp')
| -rw-r--r-- | inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/numeric/ublas/hermitian.hpp | 2633 |
1 files changed, 0 insertions, 2633 deletions
diff --git a/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/numeric/ublas/hermitian.hpp b/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/numeric/ublas/hermitian.hpp deleted file mode 100644 index f219b700f..000000000 --- a/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/numeric/ublas/hermitian.hpp +++ /dev/null @@ -1,2633 +0,0 @@ -// -// Copyright (c) 2000-2010 -// Joerg Walter, Mathias Koch, David Bellot -// -// Distributed under the Boost Software License, Version 1.0. (See -// accompanying file LICENSE_1_0.txt or copy at -// http://www.boost.org/LICENSE_1_0.txt) -// -// The authors gratefully acknowledge the support of -// GeNeSys mbH & Co. KG in producing this work. -// - -#ifndef BOOST_UBLAS_HERMITIAN_H -#define BOOST_UBLAS_HERMITIAN_H - -#include <boost/numeric/ublas/matrix.hpp> -#include <boost/numeric/ublas/triangular.hpp> // for resize_preserve -#include <boost/numeric/ublas/detail/temporary.hpp> - -// Iterators based on ideas of Jeremy Siek -// Hermitian matrices are square. Thanks to Peter Schmitteckert for spotting this. - -namespace boost { namespace numeric { namespace ublas { - - template<class M> - bool is_hermitian (const M &m) { - typedef typename M::size_type size_type; - - if (m.size1 () != m.size2 ()) - return false; - size_type size = BOOST_UBLAS_SAME (m.size1 (), m.size2 ()); - for (size_type i = 0; i < size; ++ i) { - for (size_type j = i; j < size; ++ j) { - if (m (i, j) != conj (m (j, i))) - return false; - } - } - return true; - } - -#ifdef BOOST_UBLAS_STRICT_HERMITIAN - - template<class M> - class hermitian_matrix_element: - public container_reference<M> { - public: - typedef M matrix_type; - typedef typename M::size_type size_type; - typedef typename M::value_type value_type; - typedef const value_type &const_reference; - typedef value_type &reference; - typedef value_type *pointer; - - // Construction and destruction - BOOST_UBLAS_INLINE - hermitian_matrix_element (matrix_type &m, size_type i, size_type j, value_type d): - container_reference<matrix_type> (m), i_ (i), j_ (j), d_ (d), dirty_ (false) {} - BOOST_UBLAS_INLINE - ~hermitian_matrix_element () { - if (dirty_) - (*this) ().insert_element (i_, j_, d_); - } - - // Assignment - BOOST_UBLAS_INLINE - hermitian_matrix_element &operator = (const hermitian_matrix_element &p) { - // Overide the implict copy assignment - d_ = p.d_; - dirty_ = true; - return *this; - } - template<class D> - BOOST_UBLAS_INLINE - hermitian_matrix_element &operator = (const D &d) { - d_ = d; - dirty_ = true; - return *this; - } - template<class D> - BOOST_UBLAS_INLINE - hermitian_matrix_element &operator += (const D &d) { - d_ += d; - dirty_ = true; - return *this; - } - template<class D> - BOOST_UBLAS_INLINE - hermitian_matrix_element &operator -= (const D &d) { - d_ -= d; - dirty_ = true; - return *this; - } - template<class D> - BOOST_UBLAS_INLINE - hermitian_matrix_element &operator *= (const D &d) { - d_ *= d; - dirty_ = true; - return *this; - } - template<class D> - BOOST_UBLAS_INLINE - hermitian_matrix_element &operator /= (const D &d) { - d_ /= d; - dirty_ = true; - return *this; - } - - // Comparison - template<class D> - BOOST_UBLAS_INLINE - bool operator == (const D &d) const { - return d_ == d; - } - template<class D> - BOOST_UBLAS_INLINE - bool operator != (const D &d) const { - return d_ != d; - } - - // Conversion - BOOST_UBLAS_INLINE - operator const_reference () const { - return d_; - } - - // Swapping - BOOST_UBLAS_INLINE - void swap (hermitian_matrix_element p) { - if (this != &p) { - dirty_ = true; - p.dirty_ = true; - std::swap (d_, p.d_); - } - } - BOOST_UBLAS_INLINE - friend void swap (hermitian_matrix_element p1, hermitian_matrix_element p2) { - p1.swap (p2); - } - - private: - size_type i_; - size_type j_; - value_type d_; - bool dirty_; - }; - - template<class M> - struct type_traits<hermitian_matrix_element<M> > { - typedef typename M::value_type element_type; - typedef type_traits<hermitian_matrix_element<M> > self_type; - typedef typename type_traits<element_type>::value_type value_type; - typedef typename type_traits<element_type>::const_reference const_reference; - typedef hermitian_matrix_element<M> reference; - typedef typename type_traits<element_type>::real_type real_type; - typedef typename type_traits<element_type>::precision_type precision_type; - - static const unsigned plus_complexity = type_traits<element_type>::plus_complexity; - static const unsigned multiplies_complexity = type_traits<element_type>::multiplies_complexity; - - static - BOOST_UBLAS_INLINE - real_type real (const_reference t) { - return type_traits<element_type>::real (t); - } - static - BOOST_UBLAS_INLINE - real_type imag (const_reference t) { - return type_traits<element_type>::imag (t); - } - static - BOOST_UBLAS_INLINE - value_type conj (const_reference t) { - return type_traits<element_type>::conj (t); - } - - static - BOOST_UBLAS_INLINE - real_type type_abs (const_reference t) { - return type_traits<element_type>::type_abs (t); - } - static - BOOST_UBLAS_INLINE - value_type type_sqrt (const_reference t) { - return type_traits<element_type>::type_sqrt (t); - } - - static - BOOST_UBLAS_INLINE - real_type norm_1 (const_reference t) { - return type_traits<element_type>::norm_1 (t); - } - static - BOOST_UBLAS_INLINE - real_type norm_2 (const_reference t) { - return type_traits<element_type>::norm_2 (t); - } - static - BOOST_UBLAS_INLINE - real_type norm_inf (const_reference t) { - return type_traits<element_type>::norm_inf (t); - } - - static - BOOST_UBLAS_INLINE - bool equals (const_reference t1, const_reference t2) { - return type_traits<element_type>::equals (t1, t2); - } - }; - - template<class M1, class T2> - struct promote_traits<hermitian_matrix_element<M1>, T2> { - typedef typename promote_traits<typename hermitian_matrix_element<M1>::value_type, T2>::promote_type promote_type; - }; - template<class T1, class M2> - struct promote_traits<T1, hermitian_matrix_element<M2> > { - typedef typename promote_traits<T1, typename hermitian_matrix_element<M2>::value_type>::promote_type promote_type; - }; - template<class M1, class M2> - struct promote_traits<hermitian_matrix_element<M1>, hermitian_matrix_element<M2> > { - typedef typename promote_traits<typename hermitian_matrix_element<M1>::value_type, - typename hermitian_matrix_element<M2>::value_type>::promote_type promote_type; - }; - -#endif - /** \brief A hermitian matrix of values of type \c T - * - * For a \f$(n \times n)\f$-dimensional matrix and \f$ 0 \leq i < n, 0 \leq j < n\f$, every element - * \f$m_{i,j}\f$ is mapped to the \f$(i.n + j)\f$-th element of the container for row major orientation - * or the \f$(i + j.m)\f$-th element of the container for column major orientation. And - * \f$\forall i,j\f$, \f$m_{i,j} = \overline{m_{i,j}}\f$. - * - * Orientation and storage can also be specified, otherwise a row major and unbounded array are used. - * It is \b not required by the storage to initialize elements of the matrix. - * Moreover, only the given triangular matrix is stored and the storage of hermitian matrices is packed. - * - * See http://en.wikipedia.org/wiki/Hermitian_matrix for more details on hermitian matrices. - * - * \tparam T the type of object stored in the matrix (like double, float, complex, etc...) - * \tparam TRI the type of triangular matrix is either \c lower or \c upper. Default is \c lower - * \tparam L the storage organization. It is either \c row_major or \c column_major. Default is \c row_major - * \tparam A the type of Storage array. Default is \unbounded_array. - */ - template<class T, class TRI, class L, class A> - class hermitian_matrix: - public matrix_container<hermitian_matrix<T, TRI, L, A> > { - - typedef T &true_reference; - typedef T *pointer; - typedef TRI triangular_type; - typedef L layout_type; - typedef hermitian_matrix<T, TRI, L, A> self_type; - public: -#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS - using matrix_container<self_type>::operator (); -#endif - typedef typename A::size_type size_type; - typedef typename A::difference_type difference_type; - typedef T value_type; - // FIXME no better way to not return the address of a temporary? - // typedef const T &const_reference; - typedef const T const_reference; -#ifndef BOOST_UBLAS_STRICT_HERMITIAN - typedef T &reference; -#else - typedef hermitian_matrix_element<self_type> reference; -#endif - typedef A array_type; - - typedef const matrix_reference<const self_type> const_closure_type; - typedef matrix_reference<self_type> closure_type; - typedef vector<T, A> vector_temporary_type; - typedef matrix<T, L, A> matrix_temporary_type; // general sub-matrix - typedef packed_tag storage_category; - typedef typename L::orientation_category orientation_category; - - // Construction and destruction - BOOST_UBLAS_INLINE - hermitian_matrix (): - matrix_container<self_type> (), - size_ (0), data_ (0) {} - BOOST_UBLAS_INLINE - hermitian_matrix (size_type size): - matrix_container<self_type> (), - size_ (BOOST_UBLAS_SAME (size, size)), data_ (triangular_type::packed_size (layout_type (), size, size)) { - } - BOOST_UBLAS_INLINE - hermitian_matrix (size_type size1, size_type size2): - matrix_container<self_type> (), - size_ (BOOST_UBLAS_SAME (size1, size2)), data_ (triangular_type::packed_size (layout_type (), size1, size2)) { - } - BOOST_UBLAS_INLINE - hermitian_matrix (size_type size, const array_type &data): - matrix_container<self_type> (), - size_ (size), data_ (data) {} - BOOST_UBLAS_INLINE - hermitian_matrix (const hermitian_matrix &m): - matrix_container<self_type> (), - size_ (m.size_), data_ (m.data_) {} - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix (const matrix_expression<AE> &ae): - matrix_container<self_type> (), - size_ (BOOST_UBLAS_SAME (ae ().size1 (), ae ().size2 ())), - data_ (triangular_type::packed_size (layout_type (), size_, size_)) { - matrix_assign<scalar_assign> (*this, ae); - } - - // Accessors - BOOST_UBLAS_INLINE - size_type size1 () const { - return size_; - } - BOOST_UBLAS_INLINE - size_type size2 () const { - return size_; - } - - // Storage accessors - BOOST_UBLAS_INLINE - const array_type &data () const { - return data_; - } - BOOST_UBLAS_INLINE - array_type &data () { - return data_; - } - - // Resizing - BOOST_UBLAS_INLINE - void resize (size_type size, bool preserve = true) { - if (preserve) { - self_type temporary (size, size); - detail::matrix_resize_preserve<layout_type, triangular_type> (*this, temporary); - } - else { - data ().resize (triangular_type::packed_size (layout_type (), size, size)); - size_ = size; - } - } - BOOST_UBLAS_INLINE - void resize (size_type size1, size_type size2, bool preserve = true) { - resize (BOOST_UBLAS_SAME (size1, size2), preserve); - } - BOOST_UBLAS_INLINE - void resize_packed_preserve (size_type size) { - size_ = BOOST_UBLAS_SAME (size, size); - data ().resize (triangular_type::packed_size (layout_type (), size_, size_), value_type ()); - } - - // Element access - BOOST_UBLAS_INLINE - const_reference operator () (size_type i, size_type j) const { - BOOST_UBLAS_CHECK (i < size_, bad_index ()); - BOOST_UBLAS_CHECK (j < size_, bad_index ()); - // if (i == j) - // return type_traits<value_type>::real (data () [triangular_type::element (layout_type (), i, size_, i, size_)]); - // else - if (triangular_type::other (i, j)) - return data () [triangular_type::element (layout_type (), i, size_, j, size_)]; - else - return type_traits<value_type>::conj (data () [triangular_type::element (layout_type (), j, size_, i, size_)]); - } - BOOST_UBLAS_INLINE - true_reference at_element (size_type i, size_type j) { - BOOST_UBLAS_CHECK (i < size_, bad_index ()); - BOOST_UBLAS_CHECK (j < size_, bad_index ()); - BOOST_UBLAS_CHECK (triangular_type::other (i, j), bad_index ()); - return data () [triangular_type::element (layout_type (), i, size_, j, size_)]; - } - BOOST_UBLAS_INLINE - reference operator () (size_type i, size_type j) { -#ifndef BOOST_UBLAS_STRICT_HERMITIAN - if (!triangular_type::other (i, j)) { - bad_index ().raise (); - // NEVER reached - } - return at_element (i, j); -#else - if (triangular_type::other (i, j)) - return reference (*this, i, j, data () [triangular_type::element (layout_type (), i, size_, j, size_)]); - else - return reference (*this, i, j, type_traits<value_type>::conj (data () [triangular_type::element (layout_type (), j, size_, i, size_)])); -#endif - } - - // Element assignemnt - BOOST_UBLAS_INLINE - true_reference insert_element (size_type i, size_type j, const_reference t) { - BOOST_UBLAS_CHECK (i < size_, bad_index ()); - BOOST_UBLAS_CHECK (j < size_, bad_index ()); - if (triangular_type::other (i, j)) { - return (data () [triangular_type::element (layout_type (), i, size_, j, size_)] = t); - } else { - return (data () [triangular_type::element (layout_type (), j, size_, i, size_)] = type_traits<value_type>::conj (t)); - } - } - BOOST_UBLAS_INLINE - void erase_element (size_type i, size_type j) { - BOOST_UBLAS_CHECK (i < size_, bad_index ()); - BOOST_UBLAS_CHECK (j < size_, bad_index ()); - data () [triangular_type::element (layout_type (), i, size_, j, size_)] = value_type/*zero*/(); - } - - // Zeroing - BOOST_UBLAS_INLINE - void clear () { - std::fill (data ().begin (), data ().end (), value_type/*zero*/()); - } - - // Assignment - BOOST_UBLAS_INLINE - hermitian_matrix &operator = (const hermitian_matrix &m) { - size_ = m.size_; - data () = m.data (); - return *this; - } - BOOST_UBLAS_INLINE - hermitian_matrix &assign_temporary (hermitian_matrix &m) { - swap (m); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix &operator = (const matrix_expression<AE> &ae) { - self_type temporary (ae); - return assign_temporary (temporary); - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix &assign (const matrix_expression<AE> &ae) { - matrix_assign<scalar_assign> (*this, ae); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix& operator += (const matrix_expression<AE> &ae) { - self_type temporary (*this + ae); - return assign_temporary (temporary); - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix &plus_assign (const matrix_expression<AE> &ae) { - matrix_assign<scalar_plus_assign> (*this, ae); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix& operator -= (const matrix_expression<AE> &ae) { - self_type temporary (*this - ae); - return assign_temporary (temporary); - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_matrix &minus_assign (const matrix_expression<AE> &ae) { - matrix_assign<scalar_minus_assign> (*this, ae); - return *this; - } - template<class AT> - BOOST_UBLAS_INLINE - hermitian_matrix& operator *= (const AT &at) { - // Multiplication is only allowed for real scalars, - // otherwise the resulting matrix isn't hermitian. - // Thanks to Peter Schmitteckert for spotting this. - BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ()); - matrix_assign_scalar<scalar_multiplies_assign> (*this, at); - return *this; - } - template<class AT> - BOOST_UBLAS_INLINE - hermitian_matrix& operator /= (const AT &at) { - // Multiplication is only allowed for real scalars, - // otherwise the resulting matrix isn't hermitian. - // Thanks to Peter Schmitteckert for spotting this. - BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ()); - matrix_assign_scalar<scalar_divides_assign> (*this, at); - return *this; - } - - // Swapping - BOOST_UBLAS_INLINE - void swap (hermitian_matrix &m) { - if (this != &m) { - std::swap (size_, m.size_); - data ().swap (m.data ()); - } - } - BOOST_UBLAS_INLINE - friend void swap (hermitian_matrix &m1, hermitian_matrix &m2) { - m1.swap (m2); - } - - // Iterator types -#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR - typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1; - typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2; - typedef indexed_const_iterator1<self_type, packed_random_access_iterator_tag> const_iterator1; - typedef indexed_const_iterator2<self_type, packed_random_access_iterator_tag> const_iterator2; -#else - class const_iterator1; - class iterator1; - class const_iterator2; - class iterator2; -#endif - typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1; - typedef reverse_iterator_base1<iterator1> reverse_iterator1; - typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2; - typedef reverse_iterator_base2<iterator2> reverse_iterator2; - - // Element lookup - BOOST_UBLAS_INLINE - const_iterator1 find1 (int /* rank */, size_type i, size_type j) const { - return const_iterator1 (*this, i, j); - } - BOOST_UBLAS_INLINE - iterator1 find1 (int rank, size_type i, size_type j) { - if (rank == 1) - i = triangular_type::mutable_restrict1 (i, j, size1(), size2()); - if (rank == 0) - i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2()); - return iterator1 (*this, i, j); - } - BOOST_UBLAS_INLINE - const_iterator2 find2 (int /* rank */, size_type i, size_type j) const { - return const_iterator2 (*this, i, j); - } - BOOST_UBLAS_INLINE - iterator2 find2 (int rank, size_type i, size_type j) { - if (rank == 1) - j = triangular_type::mutable_restrict2 (i, j, size1(), size2()); - if (rank == 0) - j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2()); - return iterator2 (*this, i, j); - } - - // Iterators simply are indices. - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class const_iterator1: - public container_const_reference<hermitian_matrix>, - public random_access_iterator_base<packed_random_access_iterator_tag, - const_iterator1, value_type> { - public: - typedef typename hermitian_matrix::value_type value_type; - typedef typename hermitian_matrix::difference_type difference_type; - typedef typename hermitian_matrix::const_reference reference; - typedef const typename hermitian_matrix::pointer pointer; - - typedef const_iterator2 dual_iterator_type; - typedef const_reverse_iterator2 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - const_iterator1 (): - container_const_reference<self_type> (), it1_ (), it2_ () {} - BOOST_UBLAS_INLINE - const_iterator1 (const self_type &m, size_type it1, size_type it2): - container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {} - BOOST_UBLAS_INLINE - const_iterator1 (const iterator1 &it): - container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {} - - // Arithmetic - BOOST_UBLAS_INLINE - const_iterator1 &operator ++ () { - ++ it1_; - return *this; - } - BOOST_UBLAS_INLINE - const_iterator1 &operator -- () { - -- it1_; - return *this; - } - BOOST_UBLAS_INLINE - const_iterator1 &operator += (difference_type n) { - it1_ += n; - return *this; - } - BOOST_UBLAS_INLINE - const_iterator1 &operator -= (difference_type n) { - it1_ -= n; - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const const_iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); - return it1_ - it.it1_; - } - - // Dereference - BOOST_UBLAS_INLINE - const_reference operator * () const { - return (*this) () (it1_, it2_); - } - BOOST_UBLAS_INLINE - const_reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 begin () const { - return (*this) ().find2 (1, it1_, 0); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 cbegin () const { - return begin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 end () const { - return (*this) ().find2 (1, it1_, (*this) ().size2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 cend () const { - return end (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 rbegin () const { - return const_reverse_iterator2 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 crbegin () const { - return rbegin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 rend () const { - return const_reverse_iterator2 (begin ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 crend () const { - return rend (); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - return it1_; - } - BOOST_UBLAS_INLINE - size_type index2 () const { - return it2_; - } - - // Assignment - BOOST_UBLAS_INLINE - const_iterator1 &operator = (const const_iterator1 &it) { - container_const_reference<self_type>::assign (&it ()); - it1_ = it.it1_; - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const const_iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); - return it1_ == it.it1_; - } - BOOST_UBLAS_INLINE - bool operator < (const const_iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); - return it1_ < it.it1_; - } - - private: - size_type it1_; - size_type it2_; - }; -#endif - - BOOST_UBLAS_INLINE - const_iterator1 begin1 () const { - return find1 (0, 0, 0); - } - BOOST_UBLAS_INLINE - const_iterator1 cbegin1 () const { - return begin1 (); - } - BOOST_UBLAS_INLINE - const_iterator1 end1 () const { - return find1 (0, size_, 0); - } - BOOST_UBLAS_INLINE - const_iterator1 cend1 () const { - return end1 (); - } - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class iterator1: - public container_reference<hermitian_matrix>, - public random_access_iterator_base<packed_random_access_iterator_tag, - iterator1, value_type> { - public: - typedef typename hermitian_matrix::value_type value_type; - typedef typename hermitian_matrix::difference_type difference_type; - typedef typename hermitian_matrix::true_reference reference; - typedef typename hermitian_matrix::pointer pointer; - - typedef iterator2 dual_iterator_type; - typedef reverse_iterator2 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - iterator1 (): - container_reference<self_type> (), it1_ (), it2_ () {} - BOOST_UBLAS_INLINE - iterator1 (self_type &m, size_type it1, size_type it2): - container_reference<self_type> (m), it1_ (it1), it2_ (it2) {} - - // Arithmetic - BOOST_UBLAS_INLINE - iterator1 &operator ++ () { - ++ it1_; - return *this; - } - BOOST_UBLAS_INLINE - iterator1 &operator -- () { - -- it1_; - return *this; - } - BOOST_UBLAS_INLINE - iterator1 &operator += (difference_type n) { - it1_ += n; - return *this; - } - BOOST_UBLAS_INLINE - iterator1 &operator -= (difference_type n) { - it1_ -= n; - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); - return it1_ - it.it1_; - } - - // Dereference - BOOST_UBLAS_INLINE - reference operator * () const { - return (*this) ().at_element (it1_, it2_); - } - BOOST_UBLAS_INLINE - reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator2 begin () const { - return (*this) ().find2 (1, it1_, 0); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator2 end () const { - return (*this) ().find2 (1, it1_, (*this) ().size2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator2 rbegin () const { - return reverse_iterator2 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator2 rend () const { - return reverse_iterator2 (begin ()); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - return it1_; - } - BOOST_UBLAS_INLINE - size_type index2 () const { - return it2_; - } - - // Assignment - BOOST_UBLAS_INLINE - iterator1 &operator = (const iterator1 &it) { - container_reference<self_type>::assign (&it ()); - it1_ = it.it1_; - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); - return it1_ == it.it1_; - } - BOOST_UBLAS_INLINE - bool operator < (const iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it2_ == it.it2_, external_logic ()); - return it1_ < it.it1_; - } - - private: - size_type it1_; - size_type it2_; - - friend class const_iterator1; - }; -#endif - - BOOST_UBLAS_INLINE - iterator1 begin1 () { - return find1 (0, 0, 0); - } - BOOST_UBLAS_INLINE - iterator1 end1 () { - return find1 (0, size_, 0); - } - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class const_iterator2: - public container_const_reference<hermitian_matrix>, - public random_access_iterator_base<packed_random_access_iterator_tag, - const_iterator2, value_type> { - public: - typedef typename hermitian_matrix::value_type value_type; - typedef typename hermitian_matrix::difference_type difference_type; - typedef typename hermitian_matrix::const_reference reference; - typedef const typename hermitian_matrix::pointer pointer; - - typedef const_iterator1 dual_iterator_type; - typedef const_reverse_iterator1 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - const_iterator2 (): - container_const_reference<self_type> (), it1_ (), it2_ () {} - BOOST_UBLAS_INLINE - const_iterator2 (const self_type &m, size_type it1, size_type it2): - container_const_reference<self_type> (m), it1_ (it1), it2_ (it2) {} - BOOST_UBLAS_INLINE - const_iterator2 (const iterator2 &it): - container_const_reference<self_type> (it ()), it1_ (it.it1_), it2_ (it.it2_) {} - - // Arithmetic - BOOST_UBLAS_INLINE - const_iterator2 &operator ++ () { - ++ it2_; - return *this; - } - BOOST_UBLAS_INLINE - const_iterator2 &operator -- () { - -- it2_; - return *this; - } - BOOST_UBLAS_INLINE - const_iterator2 &operator += (difference_type n) { - it2_ += n; - return *this; - } - BOOST_UBLAS_INLINE - const_iterator2 &operator -= (difference_type n) { - it2_ -= n; - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const const_iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); - return it2_ - it.it2_; - } - - // Dereference - BOOST_UBLAS_INLINE - const_reference operator * () const { - return (*this) () (it1_, it2_); - } - BOOST_UBLAS_INLINE - const_reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 begin () const { - return (*this) ().find1 (1, 0, it2_); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 cbegin () const { - return begin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 end () const { - return (*this) ().find1 (1, (*this) ().size1 (), it2_); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 cend () const { - return end (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator1 rbegin () const { - return const_reverse_iterator1 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 crbegin () const { - return rbegin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator1 rend () const { - return const_reverse_iterator1 (begin ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 crend () const { - return rend (); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - return it1_; - } - BOOST_UBLAS_INLINE - size_type index2 () const { - return it2_; - } - - // Assignment - BOOST_UBLAS_INLINE - const_iterator2 &operator = (const const_iterator2 &it) { - container_const_reference<self_type>::assign (&it ()); - it1_ = it.it1_; - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const const_iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); - return it2_ == it.it2_; - } - BOOST_UBLAS_INLINE - bool operator < (const const_iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); - return it2_ < it.it2_; - } - - private: - size_type it1_; - size_type it2_; - }; -#endif - - BOOST_UBLAS_INLINE - const_iterator2 begin2 () const { - return find2 (0, 0, 0); - } - BOOST_UBLAS_INLINE - const_iterator2 cbegin2 () const { - return begin2 (); - } - BOOST_UBLAS_INLINE - const_iterator2 end2 () const { - return find2 (0, 0, size_); - } - BOOST_UBLAS_INLINE - const_iterator2 cend2 () const { - return end2 (); - } - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class iterator2: - public container_reference<hermitian_matrix>, - public random_access_iterator_base<packed_random_access_iterator_tag, - iterator2, value_type> { - public: - typedef typename hermitian_matrix::value_type value_type; - typedef typename hermitian_matrix::difference_type difference_type; - typedef typename hermitian_matrix::true_reference reference; - typedef typename hermitian_matrix::pointer pointer; - - typedef iterator1 dual_iterator_type; - typedef reverse_iterator1 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - iterator2 (): - container_reference<self_type> (), it1_ (), it2_ () {} - BOOST_UBLAS_INLINE - iterator2 (self_type &m, size_type it1, size_type it2): - container_reference<self_type> (m), it1_ (it1), it2_ (it2) {} - - // Arithmetic - BOOST_UBLAS_INLINE - iterator2 &operator ++ () { - ++ it2_; - return *this; - } - BOOST_UBLAS_INLINE - iterator2 &operator -- () { - -- it2_; - return *this; - } - BOOST_UBLAS_INLINE - iterator2 &operator += (difference_type n) { - it2_ += n; - return *this; - } - BOOST_UBLAS_INLINE - iterator2 &operator -= (difference_type n) { - it2_ -= n; - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); - return it2_ - it.it2_; - } - - // Dereference - BOOST_UBLAS_INLINE - reference operator * () const { - return (*this) ().at_element (it1_, it2_); - } - BOOST_UBLAS_INLINE - reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator1 begin () const { - return (*this) ().find1 (1, 0, it2_); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator1 end () const { - return (*this) ().find1 (1, (*this) ().size1 (), it2_); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator1 rbegin () const { - return reverse_iterator1 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator1 rend () const { - return reverse_iterator1 (begin ()); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - return it1_; - } - BOOST_UBLAS_INLINE - size_type index2 () const { - return it2_; - } - - // Assignment - BOOST_UBLAS_INLINE - iterator2 &operator = (const iterator2 &it) { - container_reference<self_type>::assign (&it ()); - it1_ = it.it1_; - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); - return it2_ == it.it2_; - } - BOOST_UBLAS_INLINE - bool operator < (const iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (it1_ == it.it1_, external_logic ()); - return it2_ < it.it2_; - } - - private: - size_type it1_; - size_type it2_; - - friend class const_iterator2; - }; -#endif - - BOOST_UBLAS_INLINE - iterator2 begin2 () { - return find2 (0, 0, 0); - } - BOOST_UBLAS_INLINE - iterator2 end2 () { - return find2 (0, 0, size_); - } - - // Reverse iterators - - BOOST_UBLAS_INLINE - const_reverse_iterator1 rbegin1 () const { - return const_reverse_iterator1 (end1 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator1 crbegin1 () const { - return rbegin1 (); - } - BOOST_UBLAS_INLINE - const_reverse_iterator1 rend1 () const { - return const_reverse_iterator1 (begin1 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator1 crend1 () const { - return rend1 (); - } - - BOOST_UBLAS_INLINE - reverse_iterator1 rbegin1 () { - return reverse_iterator1 (end1 ()); - } - BOOST_UBLAS_INLINE - reverse_iterator1 rend1 () { - return reverse_iterator1 (begin1 ()); - } - - BOOST_UBLAS_INLINE - const_reverse_iterator2 rbegin2 () const { - return const_reverse_iterator2 (end2 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator2 crbegin2 () const { - return rbegin2(); - } - BOOST_UBLAS_INLINE - const_reverse_iterator2 rend2 () const { - return const_reverse_iterator2 (begin2 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator2 crend2 () const { - return rend2 (); - } - - BOOST_UBLAS_INLINE - reverse_iterator2 rbegin2 () { - return reverse_iterator2 (end2 ()); - } - BOOST_UBLAS_INLINE - reverse_iterator2 rend2 () { - return reverse_iterator2 (begin2 ()); - } - - private: - size_type size_; - array_type data_; - }; - - /** \brief A Hermitian matrix adaptator: convert a any matrix into a Hermitian matrix expression - * - * For a \f$(m\times n)\f$-dimensional matrix, the \c hermitian_adaptor will provide a hermitian matrix. - * Storage and location are based on those of the underlying matrix. This is important because - * a \c hermitian_adaptor does not copy the matrix data to a new place. Therefore, modifying values - * in a \c hermitian_adaptor matrix will also modify the underlying matrix too. - * - * \tparam M the type of matrix used to generate a hermitian matrix - */ - template<class M, class TRI> - class hermitian_adaptor: - public matrix_expression<hermitian_adaptor<M, TRI> > { - - typedef hermitian_adaptor<M, TRI> self_type; - typedef typename M::value_type &true_reference; - public: -#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS - using matrix_expression<self_type>::operator (); -#endif - typedef const M const_matrix_type; - typedef M matrix_type; - typedef TRI triangular_type; - typedef typename M::size_type size_type; - typedef typename M::difference_type difference_type; - typedef typename M::value_type value_type; - typedef typename M::value_type const_reference; -#ifndef BOOST_UBLAS_STRICT_HERMITIAN - typedef typename boost::mpl::if_<boost::is_const<M>, - typename M::value_type, - typename M::reference>::type reference; -#else - typedef typename boost::mpl::if_<boost::is_const<M>, - typename M::value_type, - hermitian_matrix_element<self_type> >::type reference; -#endif - typedef typename boost::mpl::if_<boost::is_const<M>, - typename M::const_closure_type, - typename M::closure_type>::type matrix_closure_type; - typedef const self_type const_closure_type; - typedef self_type closure_type; - // Replaced by _temporary_traits to avoid type requirements on M - //typedef typename M::vector_temporary_type vector_temporary_type; - //typedef typename M::matrix_temporary_type matrix_temporary_type; - typedef typename storage_restrict_traits<typename M::storage_category, - packed_proxy_tag>::storage_category storage_category; - typedef typename M::orientation_category orientation_category; - - // Construction and destruction - BOOST_UBLAS_INLINE - hermitian_adaptor (matrix_type &data): - matrix_expression<self_type> (), - data_ (data) { - BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ()); - } - BOOST_UBLAS_INLINE - hermitian_adaptor (const hermitian_adaptor &m): - matrix_expression<self_type> (), - data_ (m.data_) { - BOOST_UBLAS_CHECK (data_.size1 () == data_.size2 (), bad_size ()); - } - - // Accessors - BOOST_UBLAS_INLINE - size_type size1 () const { - return data_.size1 (); - } - BOOST_UBLAS_INLINE - size_type size2 () const { - return data_.size2 (); - } - - // Storage accessors - BOOST_UBLAS_INLINE - const matrix_closure_type &data () const { - return data_; - } - BOOST_UBLAS_INLINE - matrix_closure_type &data () { - return data_; - } - - // Element access -#ifndef BOOST_UBLAS_PROXY_CONST_MEMBER - BOOST_UBLAS_INLINE - const_reference operator () (size_type i, size_type j) const { - BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); - BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); - // if (i == j) - // return type_traits<value_type>::real (data () (i, i)); - // else - if (triangular_type::other (i, j)) - return data () (i, j); - else - return type_traits<value_type>::conj (data () (j, i)); - } - BOOST_UBLAS_INLINE - reference operator () (size_type i, size_type j) { - BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); - BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); -#ifndef BOOST_UBLAS_STRICT_HERMITIAN - if (triangular_type::other (i, j)) - return data () (i, j); - else { - external_logic ().raise (); - return conj_ = type_traits<value_type>::conj (data () (j, i)); - } -#else - if (triangular_type::other (i, j)) - return reference (*this, i, j, data () (i, j)); - else - return reference (*this, i, j, type_traits<value_type>::conj (data () (j, i))); -#endif - } - BOOST_UBLAS_INLINE - true_reference insert_element (size_type i, size_type j, value_type t) { - BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); - BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); - // if (i == j) - // data () (i, i) = type_traits<value_type>::real (t); - // else - if (triangular_type::other (i, j)) - return data () (i, j) = t; - else - return data () (j, i) = type_traits<value_type>::conj (t); - } -#else - BOOST_UBLAS_INLINE - reference operator () (size_type i, size_type j) { - BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); - BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); -#ifndef BOOST_UBLAS_STRICT_HERMITIAN - if (triangular_type::other (i, j)) - return data () (i, j); - else { - external_logic ().raise (); - return conj_ = type_traits<value_type>::conj (data () (j, i)); - } -#else - if (triangular_type::other (i, j)) - return reference (*this, i, j, data () (i, j)); - else - return reference (*this, i, j, type_traits<value_type>::conj (data () (j, i))); -#endif - } - BOOST_UBLAS_INLINE - true_reference insert_element (size_type i, size_type j, value_type t) { - BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); - BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); - // if (i == j) - // data () (i, i) = type_traits<value_type>::real (t); - // else - if (triangular_type::other (i, j)) - return data () (i, j) = t; - else - return data () (j, i) = type_traits<value_type>::conj (t); - } -#endif - - // Assignment - BOOST_UBLAS_INLINE - hermitian_adaptor &operator = (const hermitian_adaptor &m) { - matrix_assign<scalar_assign, triangular_type> (*this, m); - return *this; - } - BOOST_UBLAS_INLINE - hermitian_adaptor &assign_temporary (hermitian_adaptor &m) { - *this = m; - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_adaptor &operator = (const matrix_expression<AE> &ae) { - matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (ae)); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_adaptor &assign (const matrix_expression<AE> &ae) { - matrix_assign<scalar_assign, triangular_type> (*this, ae); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_adaptor& operator += (const matrix_expression<AE> &ae) { - matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this + ae)); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_adaptor &plus_assign (const matrix_expression<AE> &ae) { - matrix_assign<scalar_plus_assign, triangular_type> (*this, ae); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_adaptor& operator -= (const matrix_expression<AE> &ae) { - matrix_assign<scalar_assign, triangular_type> (*this, matrix<value_type> (*this - ae)); - return *this; - } - template<class AE> - BOOST_UBLAS_INLINE - hermitian_adaptor &minus_assign (const matrix_expression<AE> &ae) { - matrix_assign<scalar_minus_assign, triangular_type> (*this, ae); - return *this; - } - template<class AT> - BOOST_UBLAS_INLINE - hermitian_adaptor& operator *= (const AT &at) { - // Multiplication is only allowed for real scalars, - // otherwise the resulting matrix isn't hermitian. - // Thanks to Peter Schmitteckert for spotting this. - BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ()); - matrix_assign_scalar<scalar_multiplies_assign> (*this, at); - return *this; - } - template<class AT> - BOOST_UBLAS_INLINE - hermitian_adaptor& operator /= (const AT &at) { - // Multiplication is only allowed for real scalars, - // otherwise the resulting matrix isn't hermitian. - // Thanks to Peter Schmitteckert for spotting this. - BOOST_UBLAS_CHECK (type_traits<value_type>::imag (at) == 0, non_real ()); - matrix_assign_scalar<scalar_divides_assign> (*this, at); - return *this; - } - - // Closure comparison - BOOST_UBLAS_INLINE - bool same_closure (const hermitian_adaptor &ha) const { - return (*this).data ().same_closure (ha.data ()); - } - - // Swapping - BOOST_UBLAS_INLINE - void swap (hermitian_adaptor &m) { - if (this != &m) - matrix_swap<scalar_swap, triangular_type> (*this, m); - } - BOOST_UBLAS_INLINE - friend void swap (hermitian_adaptor &m1, hermitian_adaptor &m2) { - m1.swap (m2); - } - - // Iterator types - private: - // Use matrix iterator - typedef typename M::const_iterator1 const_subiterator1_type; - typedef typename boost::mpl::if_<boost::is_const<M>, - typename M::const_iterator1, - typename M::iterator1>::type subiterator1_type; - typedef typename M::const_iterator2 const_subiterator2_type; - typedef typename boost::mpl::if_<boost::is_const<M>, - typename M::const_iterator2, - typename M::iterator2>::type subiterator2_type; - - public: -#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR - typedef indexed_iterator1<self_type, packed_random_access_iterator_tag> iterator1; - typedef indexed_iterator2<self_type, packed_random_access_iterator_tag> iterator2; - typedef indexed_const_iterator1<self_type, dense_random_access_iterator_tag> const_iterator1; - typedef indexed_const_iterator2<self_type, dense_random_access_iterator_tag> const_iterator2; -#else - class const_iterator1; - class iterator1; - class const_iterator2; - class iterator2; -#endif - typedef reverse_iterator_base1<const_iterator1> const_reverse_iterator1; - typedef reverse_iterator_base1<iterator1> reverse_iterator1; - typedef reverse_iterator_base2<const_iterator2> const_reverse_iterator2; - typedef reverse_iterator_base2<iterator2> reverse_iterator2; - - // Element lookup - BOOST_UBLAS_INLINE - const_iterator1 find1 (int rank, size_type i, size_type j) const { - if (triangular_type::other (i, j)) { - if (triangular_type::other (size1 (), j)) { - return const_iterator1 (*this, 0, 0, - data ().find1 (rank, i, j), data ().find1 (rank, size1 (), j), - data ().find2 (rank, size2 (), size1 ()), data ().find2 (rank, size2 (), size1 ())); - } else { - return const_iterator1 (*this, 0, 1, - data ().find1 (rank, i, j), data ().find1 (rank, j, j), - data ().find2 (rank, j, j), data ().find2 (rank, j, size1 ())); - } - } else { - if (triangular_type::other (size1 (), j)) { - return const_iterator1 (*this, 1, 0, - data ().find1 (rank, j, j), data ().find1 (rank, size1 (), j), - data ().find2 (rank, j, i), data ().find2 (rank, j, j)); - } else { - return const_iterator1 (*this, 1, 1, - data ().find1 (rank, size1 (), size2 ()), data ().find1 (rank, size1 (), size2 ()), - data ().find2 (rank, j, i), data ().find2 (rank, j, size1 ())); - } - } - } - BOOST_UBLAS_INLINE - iterator1 find1 (int rank, size_type i, size_type j) { - if (rank == 1) - i = triangular_type::mutable_restrict1 (i, j, size1(), size2()); - if (rank == 0) - i = triangular_type::global_mutable_restrict1 (i, size1(), j, size2()); - return iterator1 (*this, data ().find1 (rank, i, j)); - } - BOOST_UBLAS_INLINE - const_iterator2 find2 (int rank, size_type i, size_type j) const { - if (triangular_type::other (i, j)) { - if (triangular_type::other (i, size2 ())) { - return const_iterator2 (*this, 1, 1, - data ().find1 (rank, size2 (), size1 ()), data ().find1 (rank, size2 (), size1 ()), - data ().find2 (rank, i, j), data ().find2 (rank, i, size2 ())); - } else { - return const_iterator2 (*this, 1, 0, - data ().find1 (rank, i, i), data ().find1 (rank, size2 (), i), - data ().find2 (rank, i, j), data ().find2 (rank, i, i)); - } - } else { - if (triangular_type::other (i, size2 ())) { - return const_iterator2 (*this, 0, 1, - data ().find1 (rank, j, i), data ().find1 (rank, i, i), - data ().find2 (rank, i, i), data ().find2 (rank, i, size2 ())); - } else { - return const_iterator2 (*this, 0, 0, - data ().find1 (rank, j, i), data ().find1 (rank, size2 (), i), - data ().find2 (rank, size1 (), size2 ()), data ().find2 (rank, size2 (), size2 ())); - } - } - } - BOOST_UBLAS_INLINE - iterator2 find2 (int rank, size_type i, size_type j) { - if (rank == 1) - j = triangular_type::mutable_restrict2 (i, j, size1(), size2()); - if (rank == 0) - j = triangular_type::global_mutable_restrict2 (i, size1(), j, size2()); - return iterator2 (*this, data ().find2 (rank, i, j)); - } - - // Iterators simply are indices. - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class const_iterator1: - public container_const_reference<hermitian_adaptor>, - public random_access_iterator_base<typename iterator_restrict_traits< - typename const_subiterator1_type::iterator_category, dense_random_access_iterator_tag>::iterator_category, - const_iterator1, value_type> { - public: - typedef typename const_subiterator1_type::value_type value_type; - typedef typename const_subiterator1_type::difference_type difference_type; - // FIXME no better way to not return the address of a temporary? - // typedef typename const_subiterator1_type::reference reference; - typedef typename const_subiterator1_type::value_type reference; - typedef typename const_subiterator1_type::pointer pointer; - - typedef const_iterator2 dual_iterator_type; - typedef const_reverse_iterator2 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - const_iterator1 (): - container_const_reference<self_type> (), - begin_ (-1), end_ (-1), current_ (-1), - it1_begin_ (), it1_end_ (), it1_ (), - it2_begin_ (), it2_end_ (), it2_ () {} - BOOST_UBLAS_INLINE - const_iterator1 (const self_type &m, int begin, int end, - const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end, - const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end): - container_const_reference<self_type> (m), - begin_ (begin), end_ (end), current_ (begin), - it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_), - it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) { - if (current_ == 0 && it1_ == it1_end_) - current_ = 1; - if (current_ == 1 && it2_ == it2_end_) - current_ = 0; - if ((current_ == 0 && it1_ == it1_end_) || - (current_ == 1 && it2_ == it2_end_)) - current_ = end_; - BOOST_UBLAS_CHECK (current_ == end_ || - (current_ == 0 && it1_ != it1_end_) || - (current_ == 1 && it2_ != it2_end_), internal_logic ()); - } - // FIXME cannot compile - // iterator1 does not have these members! - BOOST_UBLAS_INLINE - const_iterator1 (const iterator1 &it): - container_const_reference<self_type> (it ()), - begin_ (it.begin_), end_ (it.end_), current_ (it.current_), - it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_), - it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) { - BOOST_UBLAS_CHECK (current_ == end_ || - (current_ == 0 && it1_ != it1_end_) || - (current_ == 1 && it2_ != it2_end_), internal_logic ()); - } - - // Arithmetic - BOOST_UBLAS_INLINE - const_iterator1 &operator ++ () { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - ++ it1_; - if (it1_ == it1_end_ && end_ == 1) { - it2_ = it2_begin_; - current_ = 1; - } - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - ++ it2_; - if (it2_ == it2_end_ && end_ == 0) { - it1_ = it1_begin_; - current_ = 0; - } - } - return *this; - } - BOOST_UBLAS_INLINE - const_iterator1 &operator -- () { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - if (it1_ == it1_begin_ && begin_ == 1) { - it2_ = it2_end_; - BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ()); - -- it2_; - current_ = 1; - } else { - -- it1_; - } - } else /* if (current_ == 1) */ { - if (it2_ == it2_begin_ && begin_ == 0) { - it1_ = it1_end_; - BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ()); - -- it1_; - current_ = 0; - } else { - -- it2_; - } - } - return *this; - } - BOOST_UBLAS_INLINE - const_iterator1 &operator += (difference_type n) { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - size_type d = (std::min) (n, it1_end_ - it1_); - it1_ += d; - n -= d; - if (n > 0 || (end_ == 1 && it1_ == it1_end_)) { - BOOST_UBLAS_CHECK (end_ == 1, external_logic ()); - d = (std::min) (n, it2_end_ - it2_begin_); - it2_ = it2_begin_ + d; - n -= d; - current_ = 1; - } - } else /* if (current_ == 1) */ { - size_type d = (std::min) (n, it2_end_ - it2_); - it2_ += d; - n -= d; - if (n > 0 || (end_ == 0 && it2_ == it2_end_)) { - BOOST_UBLAS_CHECK (end_ == 0, external_logic ()); - d = (std::min) (n, it1_end_ - it1_begin_); - it1_ = it1_begin_ + d; - n -= d; - current_ = 0; - } - } - BOOST_UBLAS_CHECK (n == 0, external_logic ()); - return *this; - } - BOOST_UBLAS_INLINE - const_iterator1 &operator -= (difference_type n) { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - size_type d = (std::min) (n, it1_ - it1_begin_); - it1_ -= d; - n -= d; - if (n > 0) { - BOOST_UBLAS_CHECK (end_ == 1, external_logic ()); - d = (std::min) (n, it2_end_ - it2_begin_); - it2_ = it2_end_ - d; - n -= d; - current_ = 1; - } - } else /* if (current_ == 1) */ { - size_type d = (std::min) (n, it2_ - it2_begin_); - it2_ -= d; - n -= d; - if (n > 0) { - BOOST_UBLAS_CHECK (end_ == 0, external_logic ()); - d = (std::min) (n, it1_end_ - it1_begin_); - it1_ = it1_end_ - d; - n -= d; - current_ = 0; - } - } - BOOST_UBLAS_CHECK (n == 0, external_logic ()); - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const const_iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ()); - if (current_ == 0 && it.current_ == 0) { - return it1_ - it.it1_; - } else if (current_ == 0 && it.current_ == 1) { - if (end_ == 1 && it.end_ == 1) { - return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_); - } else /* if (end_ == 0 && it.end_ == 0) */ { - return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_); - } - - } else if (current_ == 1 && it.current_ == 0) { - if (end_ == 1 && it.end_ == 1) { - return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_); - } else /* if (end_ == 0 && it.end_ == 0) */ { - return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_); - } - } else /* if (current_ == 1 && it.current_ == 1) */ { - return it2_ - it.it2_; - } - } - - // Dereference - BOOST_UBLAS_INLINE - const_reference operator * () const { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - if (triangular_type::other (index1 (), index2 ())) - return *it1_; - else - return type_traits<value_type>::conj (*it1_); - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - if (triangular_type::other (index1 (), index2 ())) - return *it2_; - else - return type_traits<value_type>::conj (*it2_); - } - } - BOOST_UBLAS_INLINE - const_reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 begin () const { - return (*this) ().find2 (1, index1 (), 0); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 cbegin () const { - return begin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 end () const { - return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator2 cend () const { - return end (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 rbegin () const { - return const_reverse_iterator2 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 crbegin () const { - return rbegin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 rend () const { - return const_reverse_iterator2 (begin ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator2 crend () const { - return rend (); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - return it1_.index1 (); - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - return it2_.index2 (); - } - } - BOOST_UBLAS_INLINE - size_type index2 () const { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - return it1_.index2 (); - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - return it2_.index1 (); - } - } - - // Assignment - BOOST_UBLAS_INLINE - const_iterator1 &operator = (const const_iterator1 &it) { - container_const_reference<self_type>::assign (&it ()); - begin_ = it.begin_; - end_ = it.end_; - current_ = it.current_; - it1_begin_ = it.it1_begin_; - it1_end_ = it.it1_end_; - it1_ = it.it1_; - it2_begin_ = it.it2_begin_; - it2_end_ = it.it2_end_; - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const const_iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ()); - return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) || - (current_ == 1 && it.current_ == 1 && it2_ == it.it2_); - } - BOOST_UBLAS_INLINE - bool operator < (const const_iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it - *this > 0; - } - - private: - int begin_; - int end_; - int current_; - const_subiterator1_type it1_begin_; - const_subiterator1_type it1_end_; - const_subiterator1_type it1_; - const_subiterator2_type it2_begin_; - const_subiterator2_type it2_end_; - const_subiterator2_type it2_; - }; -#endif - - BOOST_UBLAS_INLINE - const_iterator1 begin1 () const { - return find1 (0, 0, 0); - } - BOOST_UBLAS_INLINE - const_iterator1 cbegin1 () const { - return begin1 (); - } - BOOST_UBLAS_INLINE - const_iterator1 end1 () const { - return find1 (0, size1 (), 0); - } - BOOST_UBLAS_INLINE - const_iterator1 cend1 () const { - return end1 (); - } - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class iterator1: - public container_reference<hermitian_adaptor>, - public random_access_iterator_base<typename iterator_restrict_traits< - typename subiterator1_type::iterator_category, packed_random_access_iterator_tag>::iterator_category, - iterator1, value_type> { - public: - typedef typename subiterator1_type::value_type value_type; - typedef typename subiterator1_type::difference_type difference_type; - typedef typename subiterator1_type::reference reference; - typedef typename subiterator1_type::pointer pointer; - - typedef iterator2 dual_iterator_type; - typedef reverse_iterator2 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - iterator1 (): - container_reference<self_type> (), it1_ () {} - BOOST_UBLAS_INLINE - iterator1 (self_type &m, const subiterator1_type &it1): - container_reference<self_type> (m), it1_ (it1) {} - - // Arithmetic - BOOST_UBLAS_INLINE - iterator1 &operator ++ () { - ++ it1_; - return *this; - } - BOOST_UBLAS_INLINE - iterator1 &operator -- () { - -- it1_; - return *this; - } - BOOST_UBLAS_INLINE - iterator1 &operator += (difference_type n) { - it1_ += n; - return *this; - } - BOOST_UBLAS_INLINE - iterator1 &operator -= (difference_type n) { - it1_ -= n; - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it1_ - it.it1_; - } - - // Dereference - BOOST_UBLAS_INLINE - reference operator * () const { - return *it1_; - } - BOOST_UBLAS_INLINE - reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator2 begin () const { - return (*this) ().find2 (1, index1 (), 0); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator2 end () const { - return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator2 rbegin () const { - return reverse_iterator2 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator2 rend () const { - return reverse_iterator2 (begin ()); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - return it1_.index1 (); - } - BOOST_UBLAS_INLINE - size_type index2 () const { - return it1_.index2 (); - } - - // Assignment - BOOST_UBLAS_INLINE - iterator1 &operator = (const iterator1 &it) { - container_reference<self_type>::assign (&it ()); - it1_ = it.it1_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it1_ == it.it1_; - } - BOOST_UBLAS_INLINE - bool operator < (const iterator1 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it1_ < it.it1_; - } - - private: - subiterator1_type it1_; - - friend class const_iterator1; - }; -#endif - - BOOST_UBLAS_INLINE - iterator1 begin1 () { - return find1 (0, 0, 0); - } - BOOST_UBLAS_INLINE - iterator1 end1 () { - return find1 (0, size1 (), 0); - } - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class const_iterator2: - public container_const_reference<hermitian_adaptor>, - public random_access_iterator_base<typename iterator_restrict_traits< - typename const_subiterator2_type::iterator_category, dense_random_access_iterator_tag>::iterator_category, - const_iterator2, value_type> { - public: - typedef typename const_subiterator2_type::value_type value_type; - typedef typename const_subiterator2_type::difference_type difference_type; - // FIXME no better way to not return the address of a temporary? - // typedef typename const_subiterator2_type::reference reference; - typedef typename const_subiterator2_type::value_type reference; - typedef typename const_subiterator2_type::pointer pointer; - - typedef const_iterator1 dual_iterator_type; - typedef const_reverse_iterator1 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - const_iterator2 (): - container_const_reference<self_type> (), - begin_ (-1), end_ (-1), current_ (-1), - it1_begin_ (), it1_end_ (), it1_ (), - it2_begin_ (), it2_end_ (), it2_ () {} - BOOST_UBLAS_INLINE - const_iterator2 (const self_type &m, int begin, int end, - const const_subiterator1_type &it1_begin, const const_subiterator1_type &it1_end, - const const_subiterator2_type &it2_begin, const const_subiterator2_type &it2_end): - container_const_reference<self_type> (m), - begin_ (begin), end_ (end), current_ (begin), - it1_begin_ (it1_begin), it1_end_ (it1_end), it1_ (it1_begin_), - it2_begin_ (it2_begin), it2_end_ (it2_end), it2_ (it2_begin_) { - if (current_ == 0 && it1_ == it1_end_) - current_ = 1; - if (current_ == 1 && it2_ == it2_end_) - current_ = 0; - if ((current_ == 0 && it1_ == it1_end_) || - (current_ == 1 && it2_ == it2_end_)) - current_ = end_; - BOOST_UBLAS_CHECK (current_ == end_ || - (current_ == 0 && it1_ != it1_end_) || - (current_ == 1 && it2_ != it2_end_), internal_logic ()); - } - // FIXME cannot compiler - // iterator2 does not have these members! - BOOST_UBLAS_INLINE - const_iterator2 (const iterator2 &it): - container_const_reference<self_type> (it ()), - begin_ (it.begin_), end_ (it.end_), current_ (it.current_), - it1_begin_ (it.it1_begin_), it1_end_ (it.it1_end_), it1_ (it.it1_), - it2_begin_ (it.it2_begin_), it2_end_ (it.it2_end_), it2_ (it.it2_) { - BOOST_UBLAS_CHECK (current_ == end_ || - (current_ == 0 && it1_ != it1_end_) || - (current_ == 1 && it2_ != it2_end_), internal_logic ()); - } - - // Arithmetic - BOOST_UBLAS_INLINE - const_iterator2 &operator ++ () { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - ++ it1_; - if (it1_ == it1_end_ && end_ == 1) { - it2_ = it2_begin_; - current_ = 1; - } - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - ++ it2_; - if (it2_ == it2_end_ && end_ == 0) { - it1_ = it1_begin_; - current_ = 0; - } - } - return *this; - } - BOOST_UBLAS_INLINE - const_iterator2 &operator -- () { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - if (it1_ == it1_begin_ && begin_ == 1) { - it2_ = it2_end_; - BOOST_UBLAS_CHECK (it2_ != it2_begin_, internal_logic ()); - -- it2_; - current_ = 1; - } else { - -- it1_; - } - } else /* if (current_ == 1) */ { - if (it2_ == it2_begin_ && begin_ == 0) { - it1_ = it1_end_; - BOOST_UBLAS_CHECK (it1_ != it1_begin_, internal_logic ()); - -- it1_; - current_ = 0; - } else { - -- it2_; - } - } - return *this; - } - BOOST_UBLAS_INLINE - const_iterator2 &operator += (difference_type n) { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - size_type d = (std::min) (n, it1_end_ - it1_); - it1_ += d; - n -= d; - if (n > 0 || (end_ == 1 && it1_ == it1_end_)) { - BOOST_UBLAS_CHECK (end_ == 1, external_logic ()); - d = (std::min) (n, it2_end_ - it2_begin_); - it2_ = it2_begin_ + d; - n -= d; - current_ = 1; - } - } else /* if (current_ == 1) */ { - size_type d = (std::min) (n, it2_end_ - it2_); - it2_ += d; - n -= d; - if (n > 0 || (end_ == 0 && it2_ == it2_end_)) { - BOOST_UBLAS_CHECK (end_ == 0, external_logic ()); - d = (std::min) (n, it1_end_ - it1_begin_); - it1_ = it1_begin_ + d; - n -= d; - current_ = 0; - } - } - BOOST_UBLAS_CHECK (n == 0, external_logic ()); - return *this; - } - BOOST_UBLAS_INLINE - const_iterator2 &operator -= (difference_type n) { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - size_type d = (std::min) (n, it1_ - it1_begin_); - it1_ -= d; - n -= d; - if (n > 0) { - BOOST_UBLAS_CHECK (end_ == 1, external_logic ()); - d = (std::min) (n, it2_end_ - it2_begin_); - it2_ = it2_end_ - d; - n -= d; - current_ = 1; - } - } else /* if (current_ == 1) */ { - size_type d = (std::min) (n, it2_ - it2_begin_); - it2_ -= d; - n -= d; - if (n > 0) { - BOOST_UBLAS_CHECK (end_ == 0, external_logic ()); - d = (std::min) (n, it1_end_ - it1_begin_); - it1_ = it1_end_ - d; - n -= d; - current_ = 0; - } - } - BOOST_UBLAS_CHECK (n == 0, external_logic ()); - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const const_iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ()); - if (current_ == 0 && it.current_ == 0) { - return it1_ - it.it1_; - } else if (current_ == 0 && it.current_ == 1) { - if (end_ == 1 && it.end_ == 1) { - return (it1_ - it.it1_end_) + (it.it2_begin_ - it.it2_); - } else /* if (end_ == 0 && it.end_ == 0) */ { - return (it1_ - it.it1_begin_) + (it.it2_end_ - it.it2_); - } - - } else if (current_ == 1 && it.current_ == 0) { - if (end_ == 1 && it.end_ == 1) { - return (it2_ - it.it2_begin_) + (it.it1_end_ - it.it1_); - } else /* if (end_ == 0 && it.end_ == 0) */ { - return (it2_ - it.it2_end_) + (it.it1_begin_ - it.it1_); - } - } else /* if (current_ == 1 && it.current_ == 1) */ { - return it2_ - it.it2_; - } - } - - // Dereference - BOOST_UBLAS_INLINE - const_reference operator * () const { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - if (triangular_type::other (index1 (), index2 ())) - return *it1_; - else - return type_traits<value_type>::conj (*it1_); - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - if (triangular_type::other (index1 (), index2 ())) - return *it2_; - else - return type_traits<value_type>::conj (*it2_); - } - } - BOOST_UBLAS_INLINE - const_reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 begin () const { - return (*this) ().find1 (1, 0, index2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 cbegin () const { - return begin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 end () const { - return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_iterator1 cend () const { - return end (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator1 rbegin () const { - return const_reverse_iterator1 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator1 crbegin () const { - return rbegin (); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator1 rend () const { - return const_reverse_iterator1 (begin ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - const_reverse_iterator1 crend () const { - return end (); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - return it1_.index2 (); - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - return it2_.index1 (); - } - } - BOOST_UBLAS_INLINE - size_type index2 () const { - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - if (current_ == 0) { - BOOST_UBLAS_CHECK (it1_ != it1_end_, internal_logic ()); - return it1_.index1 (); - } else /* if (current_ == 1) */ { - BOOST_UBLAS_CHECK (it2_ != it2_end_, internal_logic ()); - return it2_.index2 (); - } - } - - // Assignment - BOOST_UBLAS_INLINE - const_iterator2 &operator = (const const_iterator2 &it) { - container_const_reference<self_type>::assign (&it ()); - begin_ = it.begin_; - end_ = it.end_; - current_ = it.current_; - it1_begin_ = it.it1_begin_; - it1_end_ = it.it1_end_; - it1_ = it.it1_; - it2_begin_ = it.it2_begin_; - it2_end_ = it.it2_end_; - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const const_iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - BOOST_UBLAS_CHECK (current_ == 0 || current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (it.current_ == 0 || it.current_ == 1, internal_logic ()); - BOOST_UBLAS_CHECK (/* begin_ == it.begin_ && */ end_ == it.end_, internal_logic ()); - return (current_ == 0 && it.current_ == 0 && it1_ == it.it1_) || - (current_ == 1 && it.current_ == 1 && it2_ == it.it2_); - } - BOOST_UBLAS_INLINE - bool operator < (const const_iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it - *this > 0; - } - - private: - int begin_; - int end_; - int current_; - const_subiterator1_type it1_begin_; - const_subiterator1_type it1_end_; - const_subiterator1_type it1_; - const_subiterator2_type it2_begin_; - const_subiterator2_type it2_end_; - const_subiterator2_type it2_; - }; -#endif - - BOOST_UBLAS_INLINE - const_iterator2 begin2 () const { - return find2 (0, 0, 0); - } - BOOST_UBLAS_INLINE - const_iterator2 cbegin2 () const { - return begin2 (); - } - BOOST_UBLAS_INLINE - const_iterator2 end2 () const { - return find2 (0, 0, size2 ()); - } - BOOST_UBLAS_INLINE - const_iterator2 cend2 () const { - return end2 (); - } - -#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR - class iterator2: - public container_reference<hermitian_adaptor>, - public random_access_iterator_base<typename iterator_restrict_traits< - typename subiterator2_type::iterator_category, packed_random_access_iterator_tag>::iterator_category, - iterator2, value_type> { - public: - typedef typename subiterator2_type::value_type value_type; - typedef typename subiterator2_type::difference_type difference_type; - typedef typename subiterator2_type::reference reference; - typedef typename subiterator2_type::pointer pointer; - - typedef iterator1 dual_iterator_type; - typedef reverse_iterator1 dual_reverse_iterator_type; - - // Construction and destruction - BOOST_UBLAS_INLINE - iterator2 (): - container_reference<self_type> (), it2_ () {} - BOOST_UBLAS_INLINE - iterator2 (self_type &m, const subiterator2_type &it2): - container_reference<self_type> (m), it2_ (it2) {} - - // Arithmetic - BOOST_UBLAS_INLINE - iterator2 &operator ++ () { - ++ it2_; - return *this; - } - BOOST_UBLAS_INLINE - iterator2 &operator -- () { - -- it2_; - return *this; - } - BOOST_UBLAS_INLINE - iterator2 &operator += (difference_type n) { - it2_ += n; - return *this; - } - BOOST_UBLAS_INLINE - iterator2 &operator -= (difference_type n) { - it2_ -= n; - return *this; - } - BOOST_UBLAS_INLINE - difference_type operator - (const iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it2_ - it.it2_; - } - - // Dereference - BOOST_UBLAS_INLINE - reference operator * () const { - return *it2_; - } - BOOST_UBLAS_INLINE - reference operator [] (difference_type n) const { - return *(*this + n); - } - -#ifndef BOOST_UBLAS_NO_NESTED_CLASS_RELATION - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator1 begin () const { - return (*this) ().find1 (1, 0, index2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - iterator1 end () const { - return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator1 rbegin () const { - return reverse_iterator1 (end ()); - } - BOOST_UBLAS_INLINE -#ifdef BOOST_UBLAS_MSVC_NESTED_CLASS_RELATION - typename self_type:: -#endif - reverse_iterator1 rend () const { - return reverse_iterator1 (begin ()); - } -#endif - - // Indices - BOOST_UBLAS_INLINE - size_type index1 () const { - return it2_.index1 (); - } - BOOST_UBLAS_INLINE - size_type index2 () const { - return it2_.index2 (); - } - - // Assignment - BOOST_UBLAS_INLINE - iterator2 &operator = (const iterator2 &it) { - container_reference<self_type>::assign (&it ()); - it2_ = it.it2_; - return *this; - } - - // Comparison - BOOST_UBLAS_INLINE - bool operator == (const iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it2_ == it.it2_; - } - BOOST_UBLAS_INLINE - bool operator < (const iterator2 &it) const { - BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); - return it2_ < it.it2_; - } - - private: - subiterator2_type it2_; - - friend class const_iterator2; - }; -#endif - - BOOST_UBLAS_INLINE - iterator2 begin2 () { - return find2 (0, 0, 0); - } - BOOST_UBLAS_INLINE - iterator2 end2 () { - return find2 (0, 0, size2 ()); - } - - // Reverse iterators - - BOOST_UBLAS_INLINE - const_reverse_iterator1 rbegin1 () const { - return const_reverse_iterator1 (end1 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator1 crbegin1 () const { - return rbegin1(); - } - BOOST_UBLAS_INLINE - const_reverse_iterator1 rend1 () const { - return const_reverse_iterator1 (begin1 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator1 crend1 () const { - return rend1 (); - } - - BOOST_UBLAS_INLINE - reverse_iterator1 rbegin1 () { - return reverse_iterator1 (end1 ()); - } - BOOST_UBLAS_INLINE - reverse_iterator1 rend1 () { - return reverse_iterator1 (begin1 ()); - } - - BOOST_UBLAS_INLINE - const_reverse_iterator2 rbegin2 () const { - return const_reverse_iterator2 (end2 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator2 crbegin2 () const { - return rbegin2 (); - } - BOOST_UBLAS_INLINE - const_reverse_iterator2 rend2 () const { - return const_reverse_iterator2 (begin2 ()); - } - BOOST_UBLAS_INLINE - const_reverse_iterator2 crend2 () const { - return rend2 (); - } - - BOOST_UBLAS_INLINE - reverse_iterator2 rbegin2 () { - return reverse_iterator2 (end2 ()); - } - BOOST_UBLAS_INLINE - reverse_iterator2 rend2 () { - return reverse_iterator2 (begin2 ()); - } - - private: - matrix_closure_type data_; - static value_type conj_; - }; - - template<class M, class TRI> - typename hermitian_adaptor<M, TRI>::value_type hermitian_adaptor<M, TRI>::conj_; - - // Specialization for temporary_traits - template <class M, class TRI> - struct vector_temporary_traits< hermitian_adaptor<M, TRI> > - : vector_temporary_traits< M > {} ; - template <class M, class TRI> - struct vector_temporary_traits< const hermitian_adaptor<M, TRI> > - : vector_temporary_traits< M > {} ; - - template <class M, class TRI> - struct matrix_temporary_traits< hermitian_adaptor<M, TRI> > - : matrix_temporary_traits< M > {} ; - template <class M, class TRI> - struct matrix_temporary_traits< const hermitian_adaptor<M, TRI> > - : matrix_temporary_traits< M > {} ; - -}}} - -#endif |