diff -r 000000000000 -r bde4ae8d615e os/ossrv/ossrv_pub/boost_apis/boost/numeric/ublas/banded.hpp --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/os/ossrv/ossrv_pub/boost_apis/boost/numeric/ublas/banded.hpp Fri Jun 15 03:10:57 2012 +0200 @@ -0,0 +1,2025 @@ +// +// Copyright (c) 2000-2002 +// Joerg Walter, Mathias Koch +// +// Permission to use, copy, modify, distribute and sell this software +// and its documentation for any purpose is hereby granted without fee, +// provided that the above copyright notice appear in all copies and +// that both that copyright notice and this permission notice appear +// in supporting documentation. The authors make no representations +// about the suitability of this software for any purpose. +// It is provided "as is" without express or implied warranty. +// +// The authors gratefully acknowledge the support of +// GeNeSys mbH & Co. KG in producing this work. +// + +#ifndef _BOOST_UBLAS_BANDED_ +#define _BOOST_UBLAS_BANDED_ + +#include +#include + +// Iterators based on ideas of Jeremy Siek + +namespace boost { namespace numeric { namespace ublas { + + // Array based banded matrix class + template + class banded_matrix: + public matrix_container > { + + typedef T *pointer; + typedef L layout_type; + typedef banded_matrix self_type; + public: +#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS + using matrix_container::operator (); +#endif + typedef typename A::size_type size_type; + typedef typename A::difference_type difference_type; + typedef T value_type; + typedef const T &const_reference; + typedef T &reference; + typedef A array_type; + typedef const matrix_reference const_closure_type; + typedef matrix_reference closure_type; + typedef vector vector_temporary_type; + typedef matrix matrix_temporary_type; // general sub-matrix + typedef packed_tag storage_category; + typedef typename L::orientation_category orientation_category; + + // Construction and destruction + BOOST_UBLAS_INLINE + banded_matrix (): + matrix_container (), + size1_ (0), size2_ (0), + lower_ (0), upper_ (0), data_ (0) {} + BOOST_UBLAS_INLINE + banded_matrix (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0): + matrix_container (), + size1_ (size1), size2_ (size2), + lower_ (lower), upper_ (upper), data_ ((std::max) (size1, size2) * (lower + 1 + upper)) { + } + BOOST_UBLAS_INLINE + banded_matrix (size_type size1, size_type size2, size_type lower, size_type upper, const array_type &data): + matrix_container (), + size1_ (size1), size2_ (size2), + lower_ (lower), upper_ (upper), data_ (data) {} + BOOST_UBLAS_INLINE + banded_matrix (const banded_matrix &m): + matrix_container (), + size1_ (m.size1_), size2_ (m.size2_), + lower_ (m.lower_), upper_ (m.upper_), data_ (m.data_) {} + template + BOOST_UBLAS_INLINE + banded_matrix (const matrix_expression &ae, size_type lower = 0, size_type upper = 0): + matrix_container (), + size1_ (ae ().size1 ()), size2_ (ae ().size2 ()), + lower_ (lower), upper_ (upper), + data_ ((std::max) (size1_, size2_) * (lower_ + 1 + upper_)) { + matrix_assign (*this, ae); + } + + // Accessors + BOOST_UBLAS_INLINE + size_type size1 () const { + return size1_; + } + BOOST_UBLAS_INLINE + size_type size2 () const { + return size2_; + } + BOOST_UBLAS_INLINE + size_type lower () const { + return lower_; + } + BOOST_UBLAS_INLINE + size_type upper () const { + return upper_; + } + + // 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 size1, size_type size2, size_type lower = 0, size_type upper = 0, bool preserve = true) { + if (preserve) { + self_type temporary (size1, size2, lower, upper); + detail::matrix_resize_preserve (*this, temporary); + } + else { + data ().resize ((std::max) (size1, size2) * (lower + 1 + upper)); + size1_ = size1; + size2_ = size2; + lower_ = lower; + upper_ = upper; + } + } + + BOOST_UBLAS_INLINE + void resize_packed_preserve (size_type size1, size_type size2, size_type lower = 0, size_type upper = 0) { + size1_ = size1; + size2_ = size2; + lower_ = lower; + upper_ = upper; + data ().resize ((std::max) (size1, size2) * (lower + 1 + upper), value_type ()); + } + + // Element access + BOOST_UBLAS_INLINE + const_reference operator () (size_type i, size_type j) const { + BOOST_UBLAS_CHECK (i < size1_, bad_index ()); + BOOST_UBLAS_CHECK (j < size2_, bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + const size_type k = (std::max) (i, j); + const size_type l = lower_ + j - i; + if (k < (std::max) (size1_, size2_) && + l < lower_ + 1 + upper_) + return data () [layout_type::element (k, (std::max) (size1_, size2_), + l, lower_ + 1 + upper_)]; +#else + const size_type k = j; + const size_type l = upper_ + i - j; + if (k < size2_ && + l < lower_ + 1 + upper_) + return data () [layout_type::element (k, size2_, + l, lower_ + 1 + upper_)]; +#endif + return zero_; + } + BOOST_UBLAS_INLINE + reference at_element (size_type i, size_type j) { + BOOST_UBLAS_CHECK (i < size1_, bad_index ()); + BOOST_UBLAS_CHECK (j < size2_, bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + const size_type k = (std::max) (i, j); + const size_type l = lower_ + j - i; + return data () [layout_type::element (k, (std::max) (size1_, size2_), + l, lower_ + 1 + upper_)]; +#else + const size_type k = j; + const size_type l = upper_ + i - j; + return data () [layout_type::element (k, size2_, + l, lower_ + 1 + upper_)]; +#endif + } + BOOST_UBLAS_INLINE + reference operator () (size_type i, size_type j) { + BOOST_UBLAS_CHECK (i < size1_, bad_index ()); + BOOST_UBLAS_CHECK (j < size2_, bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + const size_type k = (std::max) (i, j); + const size_type l = lower_ + j - i; + if (k < (std::max) (size1_, size2_) && + l < lower_ + 1 + upper_) + return data () [layout_type::element (k, (std::max) (size1_, size2_), + l, lower_ + 1 + upper_)]; +#else + const size_type k = j; + const size_type l = upper_ + i - j; + if (k < size2_ && + l < lower_ + 1 + upper_) + return data () [layout_type::element (k, size2_, + l, lower_ + 1 + upper_)]; +#endif + bad_index ().raise (); + // arbitary return value + return const_cast(zero_); + } + + // Element assignment + BOOST_UBLAS_INLINE + reference insert_element (size_type i, size_type j, const_reference t) { + return (operator () (i, j) = t); + } + BOOST_UBLAS_INLINE + void erase_element (size_type i, size_type j) { + operator () (i, j) = value_type/*zero*/(); + } + + // Zeroing + BOOST_UBLAS_INLINE + void clear () { + std::fill (data ().begin (), data ().end (), value_type/*zero*/()); + } + + // Assignment + BOOST_UBLAS_INLINE + banded_matrix &operator = (const banded_matrix &m) { + size1_ = m.size1_; + size2_ = m.size2_; + lower_ = m.lower_; + upper_ = m.upper_; + data () = m.data (); + return *this; + } + BOOST_UBLAS_INLINE + banded_matrix &assign_temporary (banded_matrix &m) { + swap (m); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_matrix &operator = (const matrix_expression &ae) { + self_type temporary (ae, lower_, upper_); + return assign_temporary (temporary); + } + template + BOOST_UBLAS_INLINE + banded_matrix &assign (const matrix_expression &ae) { + matrix_assign (*this, ae); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_matrix& operator += (const matrix_expression &ae) { + self_type temporary (*this + ae, lower_, upper_); + return assign_temporary (temporary); + } + template + BOOST_UBLAS_INLINE + banded_matrix &plus_assign (const matrix_expression &ae) { + matrix_assign (*this, ae); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_matrix& operator -= (const matrix_expression &ae) { + self_type temporary (*this - ae, lower_, upper_); + return assign_temporary (temporary); + } + template + BOOST_UBLAS_INLINE + banded_matrix &minus_assign (const matrix_expression &ae) { + matrix_assign (*this, ae); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_matrix& operator *= (const AT &at) { + matrix_assign_scalar (*this, at); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_matrix& operator /= (const AT &at) { + matrix_assign_scalar (*this, at); + return *this; + } + + // Swapping + BOOST_UBLAS_INLINE + void swap (banded_matrix &m) { + if (this != &m) { + std::swap (size1_, m.size1_); + std::swap (size2_, m.size2_); + std::swap (lower_, m.lower_); + std::swap (upper_, m.upper_); + data ().swap (m.data ()); + } + } + BOOST_UBLAS_INLINE + friend void swap (banded_matrix &m1, banded_matrix &m2) { + m1.swap (m2); + } + + // Iterator types +#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR + typedef indexed_iterator1 iterator1; + typedef indexed_iterator2 iterator2; + typedef indexed_const_iterator1 const_iterator1; + typedef indexed_const_iterator2 const_iterator2; +#else + class const_iterator1; + class iterator1; + class const_iterator2; + class iterator2; +#endif + typedef reverse_iterator_base1 const_reverse_iterator1; + typedef reverse_iterator_base1 reverse_iterator1; + typedef reverse_iterator_base2 const_reverse_iterator2; + typedef reverse_iterator_base2 reverse_iterator2; + + // Element lookup + BOOST_UBLAS_INLINE + const_iterator1 find1 (int rank, size_type i, size_type j) const { + if (rank == 1) { + size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0)); + i = (std::max) (i, lower_i); + size_type upper_i = (std::min) (j + 1 + lower_, size1_); + i = (std::min) (i, upper_i); + } + return const_iterator1 (*this, i, j); + } + BOOST_UBLAS_INLINE + iterator1 find1 (int rank, size_type i, size_type j) { + if (rank == 1) { + size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0)); + i = (std::max) (i, lower_i); + size_type upper_i = (std::min) (j + 1 + lower_, size1_); + i = (std::min) (i, upper_i); + } + return iterator1 (*this, i, j); + } + BOOST_UBLAS_INLINE + const_iterator2 find2 (int rank, size_type i, size_type j) const { + if (rank == 1) { + size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0)); + j = (std::max) (j, lower_j); + size_type upper_j = (std::min) (i + 1 + upper_, size2_); + j = (std::min) (j, upper_j); + } + return const_iterator2 (*this, i, j); + } + BOOST_UBLAS_INLINE + iterator2 find2 (int rank, size_type i, size_type j) { + if (rank == 1) { + size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0)); + j = (std::max) (j, lower_j); + size_type upper_j = (std::min) (i + 1 + upper_, size2_); + j = (std::min) (j, upper_j); + } + return iterator2 (*this, i, j); + } + + // Iterators simply are indices. + +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR + class const_iterator1: + public container_const_reference, + public random_access_iterator_base { + public: + typedef typename banded_matrix::value_type value_type; + typedef typename banded_matrix::difference_type difference_type; + typedef typename banded_matrix::const_reference reference; + typedef const typename banded_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 (), it1_ (), it2_ () {} + BOOST_UBLAS_INLINE + const_iterator1 (const self_type &m, size_type it1, size_type it2): + container_const_reference (m), it1_ (it1), it2_ (it2) {} + BOOST_UBLAS_INLINE + const_iterator1 (const iterator1 &it): + container_const_reference (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 end () const { + return (*this) ().find2 (1, it1_, (*this) ().size2 ()); + } + 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 rend () const { + return const_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 + const_iterator1 &operator = (const const_iterator1 &it) { + container_const_reference::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 end1 () const { + return find1 (0, size1_, 0); + } + +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR + class iterator1: + public container_reference, + public random_access_iterator_base { + public: + typedef typename banded_matrix::value_type value_type; + typedef typename banded_matrix::difference_type difference_type; + typedef typename banded_matrix::reference reference; + typedef typename banded_matrix::pointer pointer; + + typedef iterator2 dual_iterator_type; + typedef reverse_iterator2 dual_reverse_iterator_type; + + // Construction and destruction + BOOST_UBLAS_INLINE + iterator1 (): + container_reference (), it1_ (), it2_ () {} + BOOST_UBLAS_INLINE + iterator1 (self_type &m, size_type it1, size_type it2): + container_reference (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::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, size1_, 0); + } + +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR + class const_iterator2: + public container_const_reference, + public random_access_iterator_base { + public: + typedef typename banded_matrix::value_type value_type; + typedef typename banded_matrix::difference_type difference_type; + typedef typename banded_matrix::const_reference reference; + typedef const typename banded_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 (), it1_ (), it2_ () {} + BOOST_UBLAS_INLINE + const_iterator2 (const self_type &m, size_type it1, size_type it2): + container_const_reference (m), it1_ (it1), it2_ (it2) {} + BOOST_UBLAS_INLINE + const_iterator2 (const iterator2 &it): + container_const_reference (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 end () const { + return (*this) ().find1 (1, (*this) ().size1 (), it2_); + } + 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 rend () const { + return const_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 + const_iterator2 &operator = (const const_iterator2 &it) { + container_const_reference::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 end2 () const { + return find2 (0, 0, size2_); + } + +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR + class iterator2: + public container_reference, + public random_access_iterator_base { + public: + typedef typename banded_matrix::value_type value_type; + typedef typename banded_matrix::difference_type difference_type; + typedef typename banded_matrix::reference reference; + typedef typename banded_matrix::pointer pointer; + + typedef iterator1 dual_iterator_type; + typedef reverse_iterator1 dual_reverse_iterator_type; + + // Construction and destruction + BOOST_UBLAS_INLINE + iterator2 (): + container_reference (), it1_ (), it2_ () {} + BOOST_UBLAS_INLINE + iterator2 (self_type &m, size_type it1, size_type it2): + container_reference (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::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, size2_); + } + + // Reverse iterators + + BOOST_UBLAS_INLINE + const_reverse_iterator1 rbegin1 () const { + return const_reverse_iterator1 (end1 ()); + } + BOOST_UBLAS_INLINE + const_reverse_iterator1 rend1 () const { + return const_reverse_iterator1 (begin1 ()); + } + + BOOST_UBLAS_INLINE + reverse_iterator1 rbegin1 () { + return reverse_iterator1 (end1 ()); + } + BOOST_UBLAS_INLINE + reverse_iterator1 rend1 () { + return reverse_iterator1 (begin1 ()); + } + + BOOST_UBLAS_INLINE + const_reverse_iterator2 rbegin2 () const { + return const_reverse_iterator2 (end2 ()); + } + BOOST_UBLAS_INLINE + const_reverse_iterator2 rend2 () const { + return const_reverse_iterator2 (begin2 ()); + } + + BOOST_UBLAS_INLINE + reverse_iterator2 rbegin2 () { + return reverse_iterator2 (end2 ()); + } + BOOST_UBLAS_INLINE + reverse_iterator2 rend2 () { + return reverse_iterator2 (begin2 ()); + } + + private: + size_type size1_; + size_type size2_; + size_type lower_; + size_type upper_; + array_type data_; + typedef const value_type const_value_type; + static const_value_type zero_; + }; + + template + typename banded_matrix::const_value_type banded_matrix::zero_ = value_type/*zero*/(); + + + // Diagonal matrix class + template + class diagonal_matrix: + public banded_matrix { + public: + typedef typename A::size_type size_type; + typedef banded_matrix matrix_type; + typedef A array_type; + + // Construction and destruction + BOOST_UBLAS_INLINE + diagonal_matrix (): + matrix_type () {} + BOOST_UBLAS_INLINE + diagonal_matrix (size_type size): + matrix_type (size, size) {} + BOOST_UBLAS_INLINE + diagonal_matrix (size_type size, const array_type& data): + matrix_type (size, size, 0, 0, data) {} + BOOST_UBLAS_INLINE + diagonal_matrix (size_type size1, size_type size2): + matrix_type (size1, size2) {} + template + BOOST_UBLAS_INLINE + diagonal_matrix (const matrix_expression &ae): + matrix_type (ae) {} + BOOST_UBLAS_INLINE + ~diagonal_matrix () {} + + // Assignment + BOOST_UBLAS_INLINE + diagonal_matrix &operator = (const diagonal_matrix &m) { + matrix_type::operator = (m); + return *this; + } + template + BOOST_UBLAS_INLINE + diagonal_matrix &operator = (const matrix_expression &ae) { + matrix_type::operator = (ae); + return *this; + } + }; + + // Banded matrix adaptor class + template + class banded_adaptor: + public matrix_expression > { + + typedef banded_adaptor self_type; + public: +#ifdef BOOST_UBLAS_ENABLE_PROXY_SHORTCUTS + using matrix_expression::operator (); +#endif + typedef const M const_matrix_type; + typedef M matrix_type; + typedef typename M::size_type size_type; + typedef typename M::difference_type difference_type; + typedef typename M::value_type value_type; + typedef typename M::const_reference const_reference; + typedef typename boost::mpl::if_, + typename M::const_reference, + typename M::reference>::type reference; + typedef typename boost::mpl::if_, + 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::storage_category storage_category; + typedef typename M::orientation_category orientation_category; + + // Construction and destruction + BOOST_UBLAS_INLINE + banded_adaptor (matrix_type &data, size_type lower = 0, size_type upper = 0): + matrix_expression (), + data_ (data), lower_ (lower), upper_ (upper) {} + BOOST_UBLAS_INLINE + banded_adaptor (const banded_adaptor &m): + matrix_expression (), + data_ (m.data_), lower_ (m.lower_), upper_ (m.upper_) {} + + // Accessors + BOOST_UBLAS_INLINE + size_type size1 () const { + return data_.size1 (); + } + BOOST_UBLAS_INLINE + size_type size2 () const { + return data_.size2 (); + } + BOOST_UBLAS_INLINE + size_type lower () const { + return lower_; + } + BOOST_UBLAS_INLINE + size_type upper () const { + return upper_; + } + + // 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 ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = lower_ + j - i; + if (k < (std::max) (size1 (), size2 ()) && + l < lower_ + 1 + upper_) + return data () (i, j); +#else + size_type k = j; + size_type l = upper_ + i - j; + if (k < size2 () && + l < lower_ + 1 + upper_) + return data () (i, j); +#endif + return zero_; + } + BOOST_UBLAS_INLINE + reference operator () (size_type i, size_type j) { + BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); + BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = lower_ + j - i; + if (k < (std::max) (size1 (), size2 ()) && + l < lower_ + 1 + upper_) + return data () (i, j); +#else + size_type k = j; + size_type l = upper_ + i - j; + if (k < size2 () && + l < lower_ + 1 + upper_) + return data () (i, j); +#endif +#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER + bad_index ().raise (); +#endif + return const_cast(zero_); + } +#else + BOOST_UBLAS_INLINE + reference operator () (size_type i, size_type j) const { + BOOST_UBLAS_CHECK (i < size1 (), bad_index ()); + BOOST_UBLAS_CHECK (j < size2 (), bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = lower_ + j - i; + if (k < (std::max) (size1 (), size2 ()) && + l < lower_ + 1 + upper_) + return data () (i, j); +#else + size_type k = j; + size_type l = upper_ + i - j; + if (k < size2 () && + l < lower_ + 1 + upper_) + return data () (i, j); +#endif +#ifndef BOOST_UBLAS_REFERENCE_CONST_MEMBER + bad_index ().raise (); +#endif + return const_cast(zero_); + } +#endif + + // Assignment + BOOST_UBLAS_INLINE + banded_adaptor &operator = (const banded_adaptor &m) { + matrix_assign (*this, m); + return *this; + } + BOOST_UBLAS_INLINE + banded_adaptor &assign_temporary (banded_adaptor &m) { + *this = m; + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor &operator = (const matrix_expression &ae) { + matrix_assign (*this, matrix (ae)); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor &assign (const matrix_expression &ae) { + matrix_assign (*this, ae); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor& operator += (const matrix_expression &ae) { + matrix_assign (*this, matrix (*this + ae)); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor &plus_assign (const matrix_expression &ae) { + matrix_assign (*this, ae); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor& operator -= (const matrix_expression &ae) { + matrix_assign (*this, matrix (*this - ae)); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor &minus_assign (const matrix_expression &ae) { + matrix_assign (*this, ae); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor& operator *= (const AT &at) { + matrix_assign_scalar (*this, at); + return *this; + } + template + BOOST_UBLAS_INLINE + banded_adaptor& operator /= (const AT &at) { + matrix_assign_scalar (*this, at); + return *this; + } + + // Closure comparison + BOOST_UBLAS_INLINE + bool same_closure (const banded_adaptor &ba) const { + return (*this).data ().same_closure (ba.data ()); + } + + // Swapping + BOOST_UBLAS_INLINE + void swap (banded_adaptor &m) { + if (this != &m) { + BOOST_UBLAS_CHECK (lower_ == m.lower_, bad_size ()); + BOOST_UBLAS_CHECK (upper_ == m.upper_, bad_size ()); + matrix_swap (*this, m); + } + } + BOOST_UBLAS_INLINE + friend void swap (banded_adaptor &m1, banded_adaptor &m2) { + m1.swap (m2); + } + + // Iterator types + private: + // Use the matrix iterator + typedef typename M::const_iterator1 const_subiterator1_type; + typedef typename boost::mpl::if_, + typename M::const_iterator1, + typename M::iterator1>::type subiterator1_type; + typedef typename M::const_iterator2 const_subiterator2_type; + typedef typename boost::mpl::if_, + typename M::const_iterator2, + typename M::iterator2>::type subiterator2_type; + + public: +#ifdef BOOST_UBLAS_USE_INDEXED_ITERATOR + typedef indexed_iterator1 iterator1; + typedef indexed_iterator2 iterator2; + typedef indexed_const_iterator1 const_iterator1; + typedef indexed_const_iterator2 const_iterator2; +#else + class const_iterator1; + class iterator1; + class const_iterator2; + class iterator2; +#endif + typedef reverse_iterator_base1 const_reverse_iterator1; + typedef reverse_iterator_base1 reverse_iterator1; + typedef reverse_iterator_base2 const_reverse_iterator2; + typedef reverse_iterator_base2 reverse_iterator2; + + // Element lookup + BOOST_UBLAS_INLINE + const_iterator1 find1 (int rank, size_type i, size_type j) const { + if (rank == 1) { + size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0)); + i = (std::max) (i, lower_i); + size_type upper_i = (std::min) (j + 1 + lower_, size1 ()); + i = (std::min) (i, upper_i); + } + return const_iterator1 (*this, data ().find1 (rank, i, j)); + } + BOOST_UBLAS_INLINE + iterator1 find1 (int rank, size_type i, size_type j) { + if (rank == 1) { + size_type lower_i = (std::max) (difference_type (j - upper_), difference_type (0)); + i = (std::max) (i, lower_i); + size_type upper_i = (std::min) (j + 1 + lower_, size1 ()); + i = (std::min) (i, upper_i); + } + return iterator1 (*this, data ().find1 (rank, i, j)); + } + BOOST_UBLAS_INLINE + const_iterator2 find2 (int rank, size_type i, size_type j) const { + if (rank == 1) { + size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0)); + j = (std::max) (j, lower_j); + size_type upper_j = (std::min) (i + 1 + upper_, size2 ()); + j = (std::min) (j, upper_j); + } + return const_iterator2 (*this, data ().find2 (rank, i, j)); + } + BOOST_UBLAS_INLINE + iterator2 find2 (int rank, size_type i, size_type j) { + if (rank == 1) { + size_type lower_j = (std::max) (difference_type (i - lower_), difference_type (0)); + j = (std::max) (j, lower_j); + size_type upper_j = (std::min) (i + 1 + upper_, size2 ()); + j = (std::min) (j, upper_j); + } + 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, + public random_access_iterator_base::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; + typedef typename const_subiterator1_type::reference 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 (), it1_ () {} + BOOST_UBLAS_INLINE + const_iterator1 (const self_type &m, const const_subiterator1_type &it1): + container_const_reference (m), it1_ (it1) {} + BOOST_UBLAS_INLINE + const_iterator1 (const iterator1 &it): + container_const_reference (it ()), it1_ (it.it1_) {} + + // 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 ()); + return it1_ - it.it1_; + } + + // Dereference + BOOST_UBLAS_INLINE + const_reference operator * () const { + size_type i = index1 (); + size_type j = index2 (); + BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); + BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = (*this) ().lower () + j - i; + if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it1_; +#else + size_type k = j; + size_type l = (*this) ().upper () + i - j; + if (k < (*this) ().size2 () && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it1_; +#endif + return (*this) () (i, j); + } + 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 end () const { + return (*this) ().find2 (1, index1 (), (*this) ().size2 ()); + } + 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 rend () const { + return const_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 + const_iterator1 &operator = (const const_iterator1 &it) { + container_const_reference::assign (&it ()); + it1_ = it.it1_; + return *this; + } + + // Comparison + BOOST_UBLAS_INLINE + bool operator == (const const_iterator1 &it) const { + BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); + return it1_ == it.it1_; + } + BOOST_UBLAS_INLINE + bool operator < (const const_iterator1 &it) const { + BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); + return it1_ < it.it1_; + } + + private: + const_subiterator1_type it1_; + }; +#endif + + BOOST_UBLAS_INLINE + const_iterator1 begin1 () const { + return find1 (0, 0, 0); + } + BOOST_UBLAS_INLINE + const_iterator1 end1 () const { + return find1 (0, size1 (), 0); + } + +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR + class iterator1: + public container_reference, + public random_access_iterator_base::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 (), it1_ () {} + BOOST_UBLAS_INLINE + iterator1 (self_type &m, const subiterator1_type &it1): + container_reference (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 { + size_type i = index1 (); + size_type j = index2 (); + BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); + BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = (*this) ().lower () + j - i; + if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it1_; +#else + size_type k = j; + size_type l = (*this) ().upper () + i - j; + if (k < (*this) ().size2 () && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it1_; +#endif + return (*this) () (i, j); + } + 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::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, + public random_access_iterator_base { + public: + typedef typename iterator_restrict_traits::iterator_category iterator_category; + typedef typename const_subiterator2_type::value_type value_type; + typedef typename const_subiterator2_type::difference_type difference_type; + typedef typename const_subiterator2_type::reference 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 (), it2_ () {} + BOOST_UBLAS_INLINE + const_iterator2 (const self_type &m, const const_subiterator2_type &it2): + container_const_reference (m), it2_ (it2) {} + BOOST_UBLAS_INLINE + const_iterator2 (const iterator2 &it): + container_const_reference (it ()), 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 ()); + return it2_ - it.it2_; + } + + // Dereference + BOOST_UBLAS_INLINE + const_reference operator * () const { + size_type i = index1 (); + size_type j = index2 (); + BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); + BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = (*this) ().lower () + j - i; + if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it2_; +#else + size_type k = j; + size_type l = (*this) ().upper () + i - j; + if (k < (*this) ().size2 () && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it2_; +#endif + return (*this) () (i, j); + } + 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 end () const { + return (*this) ().find1 (1, (*this) ().size1 (), index2 ()); + } + 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 rend () const { + return const_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 + const_iterator2 &operator = (const const_iterator2 &it) { + container_const_reference::assign (&it ()); + it2_ = it.it2_; + return *this; + } + + // Comparison + BOOST_UBLAS_INLINE + bool operator == (const const_iterator2 &it) const { + BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); + return it2_ == it.it2_; + } + BOOST_UBLAS_INLINE + bool operator < (const const_iterator2 &it) const { + BOOST_UBLAS_CHECK (&(*this) () == &it (), external_logic ()); + return it2_ < it.it2_; + } + + private: + const_subiterator2_type it2_; + }; +#endif + + BOOST_UBLAS_INLINE + const_iterator2 begin2 () const { + return find2 (0, 0, 0); + } + BOOST_UBLAS_INLINE + const_iterator2 end2 () const { + return find2 (0, 0, size2 ()); + } + +#ifndef BOOST_UBLAS_USE_INDEXED_ITERATOR + class iterator2: + public container_reference, + public random_access_iterator_base::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 (), it2_ () {} + BOOST_UBLAS_INLINE + iterator2 (self_type &m, const subiterator2_type &it2): + container_reference (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 { + size_type i = index1 (); + size_type j = index2 (); + BOOST_UBLAS_CHECK (i < (*this) ().size1 (), bad_index ()); + BOOST_UBLAS_CHECK (j < (*this) ().size2 (), bad_index ()); +#ifdef BOOST_UBLAS_OWN_BANDED + size_type k = (std::max) (i, j); + size_type l = (*this) ().lower () + j - i; + if (k < (std::max) ((*this) ().size1 (), (*this) ().size2 ()) && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it2_; +#else + size_type k = j; + size_type l = (*this) ().upper () + i - j; + if (k < (*this) ().size2 () && + l < (*this) ().lower () + 1 + (*this) ().upper ()) + return *it2_; +#endif + return (*this) () (i, j); + } + 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::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 rend1 () const { + return const_reverse_iterator1 (begin1 ()); + } + + BOOST_UBLAS_INLINE + reverse_iterator1 rbegin1 () { + return reverse_iterator1 (end1 ()); + } + BOOST_UBLAS_INLINE + reverse_iterator1 rend1 () { + return reverse_iterator1 (begin1 ()); + } + + BOOST_UBLAS_INLINE + const_reverse_iterator2 rbegin2 () const { + return const_reverse_iterator2 (end2 ()); + } + BOOST_UBLAS_INLINE + const_reverse_iterator2 rend2 () const { + return const_reverse_iterator2 (begin2 ()); + } + + BOOST_UBLAS_INLINE + reverse_iterator2 rbegin2 () { + return reverse_iterator2 (end2 ()); + } + BOOST_UBLAS_INLINE + reverse_iterator2 rend2 () { + return reverse_iterator2 (begin2 ()); + } + + private: + matrix_closure_type data_; + size_type lower_; + size_type upper_; + typedef const value_type const_value_type; + static const_value_type zero_; + }; + + // Specialization for temporary_traits + template + struct vector_temporary_traits< banded_adaptor > + : vector_temporary_traits< M > {} ; + template + struct vector_temporary_traits< const banded_adaptor > + : vector_temporary_traits< M > {} ; + + template + struct matrix_temporary_traits< banded_adaptor > + : matrix_temporary_traits< M > {} ; + template + struct matrix_temporary_traits< const banded_adaptor > + : matrix_temporary_traits< M > {} ; + + + template + typename banded_adaptor::const_value_type banded_adaptor::zero_ = value_type/*zero*/(); + + // Diagonal matrix adaptor class + template + class diagonal_adaptor: + public banded_adaptor { + public: + typedef M matrix_type; + typedef banded_adaptor adaptor_type; + + // Construction and destruction + BOOST_UBLAS_INLINE + diagonal_adaptor (): + adaptor_type () {} + BOOST_UBLAS_INLINE + diagonal_adaptor (matrix_type &data): + adaptor_type (data) {} + BOOST_UBLAS_INLINE + ~diagonal_adaptor () {} + + // Assignment + BOOST_UBLAS_INLINE + diagonal_adaptor &operator = (const diagonal_adaptor &m) { + adaptor_type::operator = (m); + return *this; + } + template + BOOST_UBLAS_INLINE + diagonal_adaptor &operator = (const matrix_expression &ae) { + adaptor_type::operator = (ae); + return *this; + } + }; + +}}} + +#endif