Chris@16: // Copyright 2002 The Trustees of Indiana University.
Chris@16: 
Chris@16: // Use, modification and distribution is subject to the Boost Software 
Chris@16: // License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
Chris@16: // http://www.boost.org/LICENSE_1_0.txt)
Chris@16: 
Chris@16: //  Boost.MultiArray Library
Chris@16: //  Authors: Ronald Garcia
Chris@16: //           Jeremy Siek
Chris@16: //           Andrew Lumsdaine
Chris@16: //  See http://www.boost.org/libs/multi_array for documentation.
Chris@16: 
Chris@16: #ifndef BOOST_MULTI_ARRAY_REF_RG071801_HPP
Chris@16: #define BOOST_MULTI_ARRAY_REF_RG071801_HPP
Chris@16: 
Chris@16: //
Chris@16: // multi_array_ref.hpp - code for creating "views" of array data.
Chris@16: //
Chris@16: 
Chris@16: #include "boost/multi_array/base.hpp"
Chris@16: #include "boost/multi_array/collection_concept.hpp"
Chris@16: #include "boost/multi_array/concept_checks.hpp"
Chris@16: #include "boost/multi_array/iterator.hpp"
Chris@16: #include "boost/multi_array/storage_order.hpp"
Chris@16: #include "boost/multi_array/subarray.hpp"
Chris@16: #include "boost/multi_array/view.hpp"
Chris@16: #include "boost/multi_array/algorithm.hpp"
Chris@16: #include "boost/type_traits/is_integral.hpp"
Chris@16: #include "boost/utility/enable_if.hpp"
Chris@16: #include "boost/array.hpp"
Chris@16: #include "boost/concept_check.hpp"
Chris@16: #include "boost/functional.hpp"
Chris@16: #include "boost/limits.hpp"
Chris@16: #include <algorithm>
Chris@16: #include <cstddef>
Chris@16: #include <functional>
Chris@16: #include <numeric>
Chris@16: 
Chris@16: namespace boost {
Chris@16: 
Chris@16: template <typename T, std::size_t NumDims,
Chris@16:   typename TPtr = const T*
Chris@16: >
Chris@16: class const_multi_array_ref :
Chris@16:     public detail::multi_array::multi_array_impl_base<T,NumDims>
Chris@16: {
Chris@16:   typedef detail::multi_array::multi_array_impl_base<T,NumDims> super_type;
Chris@16: public: 
Chris@16:   typedef typename super_type::value_type value_type;
Chris@16:   typedef typename super_type::const_reference const_reference;
Chris@16:   typedef typename super_type::const_iterator const_iterator;
Chris@16:   typedef typename super_type::const_reverse_iterator const_reverse_iterator;
Chris@16:   typedef typename super_type::element element;
Chris@16:   typedef typename super_type::size_type size_type;
Chris@16:   typedef typename super_type::difference_type difference_type;
Chris@16:   typedef typename super_type::index index;
Chris@16:   typedef typename super_type::extent_range extent_range;
Chris@16:   typedef general_storage_order<NumDims> storage_order_type;
Chris@16: 
Chris@16:   // template typedefs
Chris@16:   template <std::size_t NDims>
Chris@16:   struct const_array_view {
Chris@16:     typedef boost::detail::multi_array::const_multi_array_view<T,NDims> type;
Chris@16:   };
Chris@16: 
Chris@16:   template <std::size_t NDims>
Chris@16:   struct array_view {
Chris@16:     typedef boost::detail::multi_array::multi_array_view<T,NDims> type;
Chris@16:   };
Chris@16: 
Chris@16: #ifndef BOOST_NO_MEMBER_TEMPLATE_FRIENDS
Chris@16:   // make const_multi_array_ref a friend of itself
Chris@16:   template <typename,std::size_t,typename>
Chris@16:   friend class const_multi_array_ref;
Chris@16: #endif
Chris@16: 
Chris@16:   // This ensures that const_multi_array_ref types with different TPtr 
Chris@16:   // types can convert to each other
Chris@16:   template <typename OPtr>
Chris@16:   const_multi_array_ref(const const_multi_array_ref<T,NumDims,OPtr>& other)
Chris@16:     : base_(other.base_), storage_(other.storage_),
Chris@16:       extent_list_(other.extent_list_),
Chris@16:       stride_list_(other.stride_list_),
Chris@16:       index_base_list_(other.index_base_list_),
Chris@16:       origin_offset_(other.origin_offset_),
Chris@16:       directional_offset_(other.directional_offset_),
Chris@16:       num_elements_(other.num_elements_)  {  }
Chris@16: 
Chris@16:   template <typename ExtentList>
Chris@16:   explicit const_multi_array_ref(TPtr base, const ExtentList& extents) :
Chris@16:     base_(base), storage_(c_storage_order()) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<ExtentList> >();
Chris@16: 
Chris@16:     index_base_list_.assign(0);
Chris@16:     init_multi_array_ref(extents.begin());
Chris@16:   }
Chris@16:   
Chris@16:   template <typename ExtentList>
Chris@16:   explicit const_multi_array_ref(TPtr base, const ExtentList& extents,
Chris@16:                        const general_storage_order<NumDims>& so) : 
Chris@16:     base_(base), storage_(so) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<ExtentList> >();
Chris@16: 
Chris@16:     index_base_list_.assign(0);
Chris@16:     init_multi_array_ref(extents.begin());
Chris@16:   }
Chris@16:   
Chris@16:   explicit const_multi_array_ref(TPtr base,
Chris@16:                          const detail::multi_array::
Chris@16:                          extent_gen<NumDims>& ranges) :
Chris@16:     base_(base), storage_(c_storage_order()) {
Chris@16: 
Chris@16:     init_from_extent_gen(ranges);
Chris@16:   }
Chris@16:   
Chris@16:   explicit const_multi_array_ref(TPtr base,
Chris@16:                            const detail::multi_array::
Chris@16:                            extent_gen<NumDims>& ranges,
Chris@16:                            const general_storage_order<NumDims>& so) :
Chris@16:     base_(base), storage_(so) {
Chris@16: 
Chris@16:     init_from_extent_gen(ranges);
Chris@16:   }
Chris@16:   
Chris@16:   template <class InputIterator>
Chris@16:   void assign(InputIterator begin, InputIterator end) {
Chris@16:     boost::function_requires<InputIteratorConcept<InputIterator> >();
Chris@16: 
Chris@16:     InputIterator in_iter = begin;
Chris@16:     T* out_iter = base_;
Chris@16:     std::size_t copy_count=0;
Chris@16:     while (in_iter != end && copy_count < num_elements_) {
Chris@16:       *out_iter++ = *in_iter++;
Chris@16:       copy_count++;      
Chris@16:     }
Chris@16:   }
Chris@16: 
Chris@16:   template <class BaseList>
Chris@16: #ifdef BOOST_NO_SFINAE
Chris@16:   void
Chris@16: #else
Chris@16:   typename
Chris@16:   disable_if<typename boost::is_integral<BaseList>::type,void >::type
Chris@16: #endif // BOOST_NO_SFINAE
Chris@16:   reindex(const BaseList& values) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<BaseList> >();
Chris@16:     boost::detail::multi_array::
Chris@16:       copy_n(values.begin(),num_dimensions(),index_base_list_.begin());
Chris@16:     origin_offset_ =
Chris@16:       this->calculate_origin_offset(stride_list_,extent_list_,
Chris@16:                               storage_,index_base_list_);
Chris@16:   }
Chris@16: 
Chris@16:   void reindex(index value) {
Chris@16:     index_base_list_.assign(value);
Chris@16:     origin_offset_ =
Chris@16:       this->calculate_origin_offset(stride_list_,extent_list_,
Chris@16:                               storage_,index_base_list_);
Chris@16:   }
Chris@16: 
Chris@16:   template <typename SizeList>
Chris@16:   void reshape(const SizeList& extents) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<SizeList> >();
Chris@16:     BOOST_ASSERT(num_elements_ ==
Chris@16:                  std::accumulate(extents.begin(),extents.end(),
Chris@16:                                  size_type(1),std::multiplies<size_type>()));
Chris@16: 
Chris@16:     std::copy(extents.begin(),extents.end(),extent_list_.begin());
Chris@16:     this->compute_strides(stride_list_,extent_list_,storage_);
Chris@16: 
Chris@16:     origin_offset_ =
Chris@16:       this->calculate_origin_offset(stride_list_,extent_list_,
Chris@16:                               storage_,index_base_list_);
Chris@16:   }
Chris@16: 
Chris@16:   size_type num_dimensions() const { return NumDims; }
Chris@16: 
Chris@16:   size_type size() const { return extent_list_.front(); }
Chris@16: 
Chris@16:   // given reshaping functionality, this is the max possible size.
Chris@16:   size_type max_size() const { return num_elements(); }
Chris@16: 
Chris@16:   bool empty() const { return size() == 0; }
Chris@16: 
Chris@16:   const size_type* shape() const {
Chris@16:     return extent_list_.data();
Chris@16:   }
Chris@16: 
Chris@16:   const index* strides() const {
Chris@16:     return stride_list_.data();
Chris@16:   }
Chris@16: 
Chris@16:   const element* origin() const { return base_+origin_offset_; }
Chris@16:   const element* data() const { return base_; }
Chris@16: 
Chris@16:   size_type num_elements() const { return num_elements_; }
Chris@16: 
Chris@16:   const index* index_bases() const {
Chris@16:     return index_base_list_.data();
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16:   const storage_order_type& storage_order() const {
Chris@16:     return storage_;
Chris@16:   }
Chris@16: 
Chris@16:   template <typename IndexList>
Chris@16:   const element& operator()(IndexList indices) const {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<IndexList> >();
Chris@16:     return super_type::access_element(boost::type<const element&>(),
Chris@16:                                       indices,origin(),
Chris@16:                                       shape(),strides(),index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   // Only allow const element access
Chris@16:   const_reference operator[](index idx) const {
Chris@16:     return super_type::access(boost::type<const_reference>(),
Chris@16:                               idx,origin(),
Chris@16:                               shape(),strides(),index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   // see generate_array_view in base.hpp
Chris@16:   template <int NDims>
Chris@16:   typename const_array_view<NDims>::type 
Chris@16:   operator[](const detail::multi_array::
Chris@16:              index_gen<NumDims,NDims>& indices)
Chris@16:     const {
Chris@16:     typedef typename const_array_view<NDims>::type return_type;
Chris@16:     return
Chris@16:       super_type::generate_array_view(boost::type<return_type>(),
Chris@16:                                       indices,
Chris@16:                                       shape(),
Chris@16:                                       strides(),
Chris@16:                                       index_bases(),
Chris@16:                                       origin());
Chris@16:   }
Chris@16:   
Chris@16:   const_iterator begin() const {
Chris@16:     return const_iterator(*index_bases(),origin(),
Chris@16:                           shape(),strides(),index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   const_iterator end() const {
Chris@16:     return const_iterator(*index_bases()+(index)*shape(),origin(),
Chris@16:                           shape(),strides(),index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   const_reverse_iterator rbegin() const {
Chris@16:     return const_reverse_iterator(end());
Chris@16:   }
Chris@16: 
Chris@16:   const_reverse_iterator rend() const {
Chris@16:     return const_reverse_iterator(begin());
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16:   template <typename OPtr>
Chris@16:   bool operator==(const
Chris@16:                   const_multi_array_ref<T,NumDims,OPtr>& rhs)
Chris@16:     const {
Chris@16:     if(std::equal(extent_list_.begin(),
Chris@16:                   extent_list_.end(),
Chris@16:                   rhs.extent_list_.begin()))
Chris@16:       return std::equal(begin(),end(),rhs.begin());
Chris@16:     else return false;
Chris@16:   }
Chris@16: 
Chris@16:   template <typename OPtr>
Chris@16:   bool operator<(const
Chris@16:                  const_multi_array_ref<T,NumDims,OPtr>& rhs)
Chris@16:     const {
Chris@16:     return std::lexicographical_compare(begin(),end(),rhs.begin(),rhs.end());
Chris@16:   }
Chris@16: 
Chris@16:   template <typename OPtr>
Chris@16:   bool operator!=(const
Chris@16:                   const_multi_array_ref<T,NumDims,OPtr>& rhs)
Chris@16:     const {
Chris@16:     return !(*this == rhs);
Chris@16:   }
Chris@16: 
Chris@16:   template <typename OPtr>
Chris@16:   bool operator>(const
Chris@16:                  const_multi_array_ref<T,NumDims,OPtr>& rhs)
Chris@16:     const {
Chris@16:     return rhs < *this;
Chris@16:   }
Chris@16: 
Chris@16:   template <typename OPtr>
Chris@16:   bool operator<=(const
Chris@16:                  const_multi_array_ref<T,NumDims,OPtr>& rhs)
Chris@16:     const {
Chris@16:     return !(*this > rhs);
Chris@16:   }
Chris@16: 
Chris@16:   template <typename OPtr>
Chris@16:   bool operator>=(const
Chris@16:                  const_multi_array_ref<T,NumDims,OPtr>& rhs)
Chris@16:     const {
Chris@16:     return !(*this < rhs);
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_NO_MEMBER_TEMPLATE_FRIENDS
Chris@16: protected:
Chris@16: #else
Chris@16: public:
Chris@16: #endif
Chris@16: 
Chris@16:   typedef boost::array<size_type,NumDims> size_list;
Chris@16:   typedef boost::array<index,NumDims> index_list;
Chris@16: 
Chris@16:   // This is used by multi_array, which is a subclass of this
Chris@16:   void set_base_ptr(TPtr new_base) { base_ = new_base; }
Chris@16: 
Chris@16: 
Chris@16:   // This constructor supports multi_array's default constructor
Chris@16:   // and constructors from multi_array_ref, subarray, and array_view
Chris@16:   explicit
Chris@16:   const_multi_array_ref(TPtr base,
Chris@16:                         const storage_order_type& so,
Chris@16:                         const index * index_bases,
Chris@16:                         const size_type* extents) :
Chris@16:     base_(base), storage_(so), origin_offset_(0), directional_offset_(0)
Chris@16:  {
Chris@16:    // If index_bases or extents is null, then initialize the corresponding
Chris@16:    // private data to zeroed lists.
Chris@16:    if(index_bases) {
Chris@16:      boost::detail::multi_array::
Chris@16:        copy_n(index_bases,NumDims,index_base_list_.begin());
Chris@16:    } else {
Chris@16:      std::fill_n(index_base_list_.begin(),NumDims,0);
Chris@16:    }
Chris@16:    if(extents) {
Chris@16:      init_multi_array_ref(extents);
Chris@16:    } else {
Chris@16:      boost::array<index,NumDims> extent_list;
Chris@16:      extent_list.assign(0);
Chris@16:      init_multi_array_ref(extent_list.begin());
Chris@16:    }
Chris@16:  }
Chris@16: 
Chris@16: 
Chris@16:   TPtr base_;
Chris@16:   storage_order_type storage_;
Chris@16:   size_list extent_list_;
Chris@16:   index_list stride_list_;
Chris@16:   index_list index_base_list_;
Chris@16:   index origin_offset_;
Chris@16:   index directional_offset_;
Chris@16:   size_type num_elements_;
Chris@16: 
Chris@16: private:
Chris@16:   // const_multi_array_ref cannot be assigned to (no deep copies!)
Chris@16:   const_multi_array_ref& operator=(const const_multi_array_ref& other);
Chris@16: 
Chris@16:   void init_from_extent_gen(const
Chris@16:                         detail::multi_array::
Chris@16:                         extent_gen<NumDims>& ranges) { 
Chris@16:     
Chris@16:     typedef boost::array<index,NumDims> extent_list;
Chris@16: 
Chris@16:     // get the index_base values
Chris@16:     std::transform(ranges.ranges_.begin(),ranges.ranges_.end(),
Chris@16:               index_base_list_.begin(),
Chris@16:               boost::mem_fun_ref(&extent_range::start));
Chris@16: 
Chris@16:     // calculate the extents
Chris@16:     extent_list extents;
Chris@16:     std::transform(ranges.ranges_.begin(),ranges.ranges_.end(),
Chris@16:               extents.begin(),
Chris@16:               boost::mem_fun_ref(&extent_range::size));
Chris@16: 
Chris@16:     init_multi_array_ref(extents.begin());
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_NO_MEMBER_TEMPLATE_FRIENDS
Chris@16: protected:
Chris@16: #else
Chris@16: public:
Chris@16: #endif
Chris@16:   // RG - move me!
Chris@16:   template <class InputIterator>
Chris@16:   void init_multi_array_ref(InputIterator extents_iter) {
Chris@16:     boost::function_requires<InputIteratorConcept<InputIterator> >();
Chris@16: 
Chris@16:     boost::detail::multi_array::
Chris@16:       copy_n(extents_iter,num_dimensions(),extent_list_.begin());
Chris@16: 
Chris@16:     // Calculate the array size
Chris@16:     num_elements_ = std::accumulate(extent_list_.begin(),extent_list_.end(),
Chris@16:                             size_type(1),std::multiplies<size_type>());
Chris@16: 
Chris@16:     this->compute_strides(stride_list_,extent_list_,storage_);
Chris@16: 
Chris@16:     origin_offset_ =
Chris@16:       this->calculate_origin_offset(stride_list_,extent_list_,
Chris@16:                               storage_,index_base_list_);
Chris@16:     directional_offset_ =
Chris@16:       this->calculate_descending_dimension_offset(stride_list_,extent_list_,
Chris@16:                                             storage_);
Chris@16:   }
Chris@16: };
Chris@16: 
Chris@16: template <typename T, std::size_t NumDims>
Chris@16: class multi_array_ref :
Chris@16:   public const_multi_array_ref<T,NumDims,T*>
Chris@16: {
Chris@16:   typedef const_multi_array_ref<T,NumDims,T*> super_type;
Chris@16: public: 
Chris@16:   typedef typename super_type::value_type value_type;
Chris@16:   typedef typename super_type::reference reference;
Chris@16:   typedef typename super_type::iterator iterator;
Chris@16:   typedef typename super_type::reverse_iterator reverse_iterator;
Chris@16:   typedef typename super_type::const_reference const_reference;
Chris@16:   typedef typename super_type::const_iterator const_iterator;
Chris@16:   typedef typename super_type::const_reverse_iterator const_reverse_iterator;
Chris@16:   typedef typename super_type::element element;
Chris@16:   typedef typename super_type::size_type size_type;
Chris@16:   typedef typename super_type::difference_type difference_type;
Chris@16:   typedef typename super_type::index index;
Chris@16:   typedef typename super_type::extent_range extent_range;
Chris@16: 
Chris@16:   typedef typename super_type::storage_order_type storage_order_type;
Chris@16:   typedef typename super_type::index_list index_list;
Chris@16:   typedef typename super_type::size_list size_list;
Chris@16: 
Chris@16:   template <std::size_t NDims>
Chris@16:   struct const_array_view {
Chris@16:     typedef boost::detail::multi_array::const_multi_array_view<T,NDims> type;
Chris@16:   };
Chris@16: 
Chris@16:   template <std::size_t NDims>
Chris@16:   struct array_view {
Chris@16:     typedef boost::detail::multi_array::multi_array_view<T,NDims> type;
Chris@16:   };
Chris@16: 
Chris@16:   template <class ExtentList>
Chris@16:   explicit multi_array_ref(T* base, const ExtentList& extents) :
Chris@16:     super_type(base,extents) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<ExtentList> >();
Chris@16:   }
Chris@16: 
Chris@16:   template <class ExtentList>
Chris@16:   explicit multi_array_ref(T* base, const ExtentList& extents,
Chris@16:                            const general_storage_order<NumDims>& so) :
Chris@16:     super_type(base,extents,so) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<ExtentList> >();
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16:   explicit multi_array_ref(T* base,
Chris@16:                            const detail::multi_array::
Chris@16:                            extent_gen<NumDims>& ranges) :
Chris@16:     super_type(base,ranges) { }
Chris@16: 
Chris@16: 
Chris@16:   explicit multi_array_ref(T* base,
Chris@16:                            const detail::multi_array::
Chris@16:                            extent_gen<NumDims>&
Chris@16:                              ranges,
Chris@16:                            const general_storage_order<NumDims>& so) :
Chris@16:     super_type(base,ranges,so) { }
Chris@16: 
Chris@16: 
Chris@16:   // Assignment from other ConstMultiArray types.
Chris@16:   template <typename ConstMultiArray>
Chris@16:   multi_array_ref& operator=(const ConstMultiArray& other) {
Chris@16:     function_requires< 
Chris@16:       multi_array_concepts::
Chris@16:       ConstMultiArrayConcept<ConstMultiArray,NumDims> >();
Chris@16: 
Chris@16:     // make sure the dimensions agree
Chris@16:     BOOST_ASSERT(other.num_dimensions() == this->num_dimensions());
Chris@16:     BOOST_ASSERT(std::equal(other.shape(),other.shape()+this->num_dimensions(),
Chris@16:                             this->shape()));
Chris@16:     // iterator-based copy
Chris@16:     std::copy(other.begin(),other.end(),this->begin());
Chris@16:     return *this;
Chris@16:   }
Chris@16: 
Chris@16:   multi_array_ref& operator=(const multi_array_ref& other) {
Chris@16:     if (&other != this) {
Chris@16:       // make sure the dimensions agree
Chris@16:       
Chris@16:       BOOST_ASSERT(other.num_dimensions() == this->num_dimensions());
Chris@16:       BOOST_ASSERT(std::equal(other.shape(),
Chris@16:                               other.shape()+this->num_dimensions(),
Chris@16:                               this->shape()));
Chris@16:       // iterator-based copy
Chris@16:       std::copy(other.begin(),other.end(),this->begin());
Chris@16:     }
Chris@16:     return *this;
Chris@16:   }
Chris@16: 
Chris@16:   element* origin() { return super_type::base_+super_type::origin_offset_; }
Chris@16: 
Chris@16:   element* data() { return super_type::base_; }
Chris@16: 
Chris@16:   template <class IndexList>
Chris@16:   element& operator()(const IndexList& indices) {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<IndexList> >();
Chris@16:     return super_type::access_element(boost::type<element&>(),
Chris@16:                                       indices,origin(),
Chris@16:                                       this->shape(),this->strides(),
Chris@16:                                       this->index_bases());
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16:   reference operator[](index idx) {
Chris@16:     return super_type::access(boost::type<reference>(),
Chris@16:                               idx,origin(),
Chris@16:                               this->shape(),this->strides(),
Chris@16:                               this->index_bases());
Chris@16:   }
Chris@16: 
Chris@16: 
Chris@16:   // See note attached to generate_array_view in base.hpp
Chris@16:   template <int NDims>
Chris@16:   typename array_view<NDims>::type 
Chris@16:   operator[](const detail::multi_array::
Chris@16:              index_gen<NumDims,NDims>& indices) {
Chris@16:     typedef typename array_view<NDims>::type return_type;
Chris@16:     return
Chris@16:       super_type::generate_array_view(boost::type<return_type>(),
Chris@16:                                       indices,
Chris@16:                                       this->shape(),
Chris@16:                                       this->strides(),
Chris@16:                                       this->index_bases(),
Chris@16:                                       origin());
Chris@16:   }
Chris@16:   
Chris@16:   
Chris@16:   iterator begin() {
Chris@16:     return iterator(*this->index_bases(),origin(),this->shape(),
Chris@16:                     this->strides(),this->index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   iterator end() {
Chris@16:     return iterator(*this->index_bases()+(index)*this->shape(),origin(),
Chris@16:                     this->shape(),this->strides(),
Chris@16:                     this->index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   // rbegin() and rend() written naively to thwart MSVC ICE.
Chris@16:   reverse_iterator rbegin() {
Chris@16:     reverse_iterator ri(end());
Chris@16:     return ri;
Chris@16:   }
Chris@16: 
Chris@16:   reverse_iterator rend() {
Chris@16:     reverse_iterator ri(begin());
Chris@16:     return ri;
Chris@16:   }
Chris@16: 
Chris@16:   // Using declarations don't seem to work for g++
Chris@16:   // These are the proxies to work around this.
Chris@16: 
Chris@16:   const element* origin() const { return super_type::origin(); }
Chris@16:   const element* data() const { return super_type::data(); }
Chris@16: 
Chris@16:   template <class IndexList>
Chris@16:   const element& operator()(const IndexList& indices) const {
Chris@16:     boost::function_requires<
Chris@16:       CollectionConcept<IndexList> >();
Chris@16:     return super_type::operator()(indices);
Chris@16:   }
Chris@16: 
Chris@16:   const_reference operator[](index idx) const {
Chris@16:     return super_type::access(boost::type<const_reference>(),
Chris@16:                               idx,origin(),
Chris@16:                               this->shape(),this->strides(),
Chris@16:                               this->index_bases());
Chris@16:   }
Chris@16: 
Chris@16:   // See note attached to generate_array_view in base.hpp
Chris@16:   template <int NDims>
Chris@16:   typename const_array_view<NDims>::type 
Chris@16:   operator[](const detail::multi_array::
Chris@16:              index_gen<NumDims,NDims>& indices)
Chris@16:     const {
Chris@16:     return super_type::operator[](indices);
Chris@16:   }
Chris@16:   
Chris@16:   const_iterator begin() const {
Chris@16:     return super_type::begin();
Chris@16:   }
Chris@16: 
Chris@16:   const_iterator end() const {
Chris@16:     return super_type::end();
Chris@16:   }
Chris@16: 
Chris@16:   const_reverse_iterator rbegin() const {
Chris@16:     return super_type::rbegin();
Chris@16:   }
Chris@16: 
Chris@16:   const_reverse_iterator rend() const {
Chris@16:     return super_type::rend();
Chris@16:   }
Chris@16: 
Chris@16: protected:
Chris@16:   // This is only supplied to support multi_array's default constructor
Chris@16:   explicit multi_array_ref(T* base,
Chris@16:                            const storage_order_type& so,
Chris@16:                            const index* index_bases,
Chris@16:                            const size_type* extents) :
Chris@16:     super_type(base,so,index_bases,extents) { }
Chris@16: 
Chris@16: };
Chris@16: 
Chris@16: } // namespace boost
Chris@16: 
Chris@16: #endif // BOOST_MULTI_ARRAY_REF_RG071801_HPP