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512 lines
16 KiB
512 lines
16 KiB
// Copyright 2002 The Trustees of Indiana University. |
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// Use, modification and distribution is subject to the Boost Software |
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// License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at |
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// http://www.boost.org/LICENSE_1_0.txt) |
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// Boost.MultiArray Library |
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// Authors: Ronald Garcia |
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// Jeremy Siek |
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// Andrew Lumsdaine |
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// See http://www.boost.org/libs/multi_array for documentation. |
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#ifndef BASE_RG071801_HPP |
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#define BASE_RG071801_HPP |
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// |
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// base.hpp - some implementation base classes for from which |
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// functionality is acquired |
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// |
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#include "boost/multi_array/extent_range.hpp" |
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#include "boost/multi_array/extent_gen.hpp" |
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#include "boost/multi_array/index_range.hpp" |
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#include "boost/multi_array/index_gen.hpp" |
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#include "boost/multi_array/storage_order.hpp" |
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#include "boost/multi_array/types.hpp" |
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#include "boost/config.hpp" |
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#include "boost/multi_array/concept_checks.hpp" //for ignore_unused_... |
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#include "boost/mpl/eval_if.hpp" |
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#include "boost/mpl/if.hpp" |
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#include "boost/mpl/size_t.hpp" |
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#include "boost/mpl/aux_/msvc_eti_base.hpp" |
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#include "boost/iterator/reverse_iterator.hpp" |
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#include "boost/static_assert.hpp" |
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#include "boost/type.hpp" |
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#include "boost/assert.hpp" |
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#include <cstddef> |
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#include <memory> |
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namespace boost { |
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///////////////////////////////////////////////////////////////////////// |
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// class declarations |
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///////////////////////////////////////////////////////////////////////// |
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template<typename T, std::size_t NumDims, |
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typename Allocator = std::allocator<T> > |
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class multi_array; |
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// This is a public interface for use by end users! |
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namespace multi_array_types { |
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typedef boost::detail::multi_array::size_type size_type; |
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typedef std::ptrdiff_t difference_type; |
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typedef boost::detail::multi_array::index index; |
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typedef detail::multi_array::index_range<index,size_type> index_range; |
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typedef detail::multi_array::extent_range<index,size_type> extent_range; |
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typedef detail::multi_array::index_gen<0,0> index_gen; |
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typedef detail::multi_array::extent_gen<0> extent_gen; |
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} |
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// boost::extents and boost::indices are now a part of the public |
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// interface. That way users don't necessarily have to create their |
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// own objects. On the other hand, one may not want the overhead of |
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// object creation in small-memory environments. Thus, the objects |
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// can be left undefined by defining BOOST_MULTI_ARRAY_NO_GENERATORS |
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// before loading multi_array.hpp. |
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#if !BOOST_MULTI_ARRAY_NO_GENERATORS |
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namespace { |
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multi_array_types::extent_gen extents; |
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multi_array_types::index_gen indices; |
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} |
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#endif // BOOST_MULTI_ARRAY_NO_GENERATORS |
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namespace detail { |
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namespace multi_array { |
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template <typename T, std::size_t NumDims> |
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class sub_array; |
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template <typename T, std::size_t NumDims, typename TPtr = const T*> |
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class const_sub_array; |
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template <typename T, typename TPtr, typename NumDims, typename Reference> |
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class array_iterator; |
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template <typename T, std::size_t NumDims, typename TPtr = const T*> |
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class const_multi_array_view; |
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template <typename T, std::size_t NumDims> |
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class multi_array_view; |
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///////////////////////////////////////////////////////////////////////// |
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// class interfaces |
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///////////////////////////////////////////////////////////////////////// |
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class multi_array_base { |
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public: |
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typedef multi_array_types::size_type size_type; |
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typedef multi_array_types::difference_type difference_type; |
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typedef multi_array_types::index index; |
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typedef multi_array_types::index_range index_range; |
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typedef multi_array_types::extent_range extent_range; |
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typedef multi_array_types::index_gen index_gen; |
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typedef multi_array_types::extent_gen extent_gen; |
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}; |
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// |
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// value_accessor_n |
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// contains the routines for accessing elements from |
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// N-dimensional views. |
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// |
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template<typename T, std::size_t NumDims> |
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class value_accessor_n : public multi_array_base { |
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typedef multi_array_base super_type; |
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public: |
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typedef typename super_type::index index; |
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// |
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// public typedefs used by classes that inherit from this base |
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// |
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typedef T element; |
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typedef boost::multi_array<T,NumDims-1> value_type; |
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typedef sub_array<T,NumDims-1> reference; |
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typedef const_sub_array<T,NumDims-1> const_reference; |
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protected: |
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// used by array operator[] and iterators to get reference types. |
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template <typename Reference, typename TPtr> |
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Reference access(boost::type<Reference>,index idx,TPtr base, |
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const size_type* extents, |
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const index* strides, |
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const index* index_bases) const { |
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BOOST_ASSERT(idx - index_bases[0] >= 0); |
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BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]); |
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// return a sub_array<T,NDims-1> proxy object |
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TPtr newbase = base + idx * strides[0]; |
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return Reference(newbase,extents+1,strides+1,index_bases+1); |
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} |
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value_accessor_n() { } |
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~value_accessor_n() { } |
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}; |
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// |
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// value_accessor_one |
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// contains the routines for accessing reference elements from |
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// 1-dimensional views. |
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// |
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template<typename T> |
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class value_accessor_one : public multi_array_base { |
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typedef multi_array_base super_type; |
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public: |
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typedef typename super_type::index index; |
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// |
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// public typedefs for use by classes that inherit it. |
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// |
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typedef T element; |
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typedef T value_type; |
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typedef T& reference; |
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typedef T const& const_reference; |
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protected: |
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// used by array operator[] and iterators to get reference types. |
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template <typename Reference, typename TPtr> |
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Reference access(boost::type<Reference>,index idx,TPtr base, |
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const size_type* extents, |
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const index* strides, |
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const index* index_bases) const { |
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ignore_unused_variable_warning(index_bases); |
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ignore_unused_variable_warning(extents); |
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BOOST_ASSERT(idx - index_bases[0] >= 0); |
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BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]); |
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return *(base + idx * strides[0]); |
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} |
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value_accessor_one() { } |
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~value_accessor_one() { } |
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}; |
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///////////////////////////////////////////////////////////////////////// |
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// choose value accessor begins |
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// |
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template <typename T, std::size_t NumDims> |
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struct choose_value_accessor_n { |
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typedef value_accessor_n<T,NumDims> type; |
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}; |
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template <typename T> |
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struct choose_value_accessor_one { |
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typedef value_accessor_one<T> type; |
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}; |
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template <typename T, typename NumDims> |
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struct value_accessor_generator { |
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BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims::value); |
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typedef typename |
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mpl::eval_if_c<(dimensionality == 1), |
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choose_value_accessor_one<T>, |
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choose_value_accessor_n<T,dimensionality> |
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>::type type; |
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}; |
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#if BOOST_WORKAROUND(BOOST_MSVC, < 1300) |
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struct eti_value_accessor |
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{ |
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typedef int index; |
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typedef int size_type; |
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typedef int element; |
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typedef int index_range; |
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typedef int value_type; |
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typedef int reference; |
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typedef int const_reference; |
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}; |
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template <> |
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struct value_accessor_generator<int,int> |
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{ |
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typedef eti_value_accessor type; |
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}; |
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template <class T, class NumDims> |
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struct associated_types |
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: mpl::aux::msvc_eti_base< |
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typename value_accessor_generator<T,NumDims>::type |
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>::type |
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{}; |
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template <> |
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struct associated_types<int,int> : eti_value_accessor {}; |
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#else |
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template <class T, class NumDims> |
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struct associated_types |
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: value_accessor_generator<T,NumDims>::type |
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{}; |
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#endif |
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// |
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// choose value accessor ends |
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///////////////////////////////////////////////////////////////////////// |
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//////////////////////////////////////////////////////////////////////// |
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// multi_array_base |
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//////////////////////////////////////////////////////////////////////// |
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template <typename T, std::size_t NumDims> |
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class multi_array_impl_base |
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: |
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#if BOOST_WORKAROUND(BOOST_MSVC, < 1300) |
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public mpl::aux::msvc_eti_base< |
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typename value_accessor_generator<T,mpl::size_t<NumDims> >::type |
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>::type |
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#else |
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public value_accessor_generator<T,mpl::size_t<NumDims> >::type |
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#endif |
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{ |
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typedef associated_types<T,mpl::size_t<NumDims> > types; |
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public: |
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typedef typename types::index index; |
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typedef typename types::size_type size_type; |
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typedef typename types::element element; |
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typedef typename types::index_range index_range; |
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typedef typename types::value_type value_type; |
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typedef typename types::reference reference; |
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typedef typename types::const_reference const_reference; |
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template <std::size_t NDims> |
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struct subarray { |
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typedef boost::detail::multi_array::sub_array<T,NDims> type; |
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}; |
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template <std::size_t NDims> |
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struct const_subarray { |
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typedef boost::detail::multi_array::const_sub_array<T,NDims> type; |
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}; |
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template <std::size_t NDims> |
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struct array_view { |
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typedef boost::detail::multi_array::multi_array_view<T,NDims> type; |
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}; |
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template <std::size_t NDims> |
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struct const_array_view { |
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public: |
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typedef boost::detail::multi_array::const_multi_array_view<T,NDims> type; |
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}; |
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// |
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// iterator support |
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// |
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typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference> iterator; |
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typedef array_iterator<T,T const*,mpl::size_t<NumDims>,const_reference> const_iterator; |
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typedef ::boost::reverse_iterator<iterator> reverse_iterator; |
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typedef ::boost::reverse_iterator<const_iterator> const_reverse_iterator; |
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BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims); |
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protected: |
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multi_array_impl_base() { } |
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~multi_array_impl_base() { } |
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// Used by operator() in our array classes |
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template <typename Reference, typename IndexList, typename TPtr> |
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Reference access_element(boost::type<Reference>, |
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const IndexList& indices, |
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TPtr base, |
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const size_type* extents, |
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const index* strides, |
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const index* index_bases) const { |
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ignore_unused_variable_warning(index_bases); |
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ignore_unused_variable_warning(extents); |
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#if !defined(NDEBUG) && !defined(BOOST_DISABLE_ASSERTS) |
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for (size_type i = 0; i != NumDims; ++i) { |
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BOOST_ASSERT(indices[i] - index_bases[i] >= 0); |
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BOOST_ASSERT(size_type(indices[i] - index_bases[i]) < extents[i]); |
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} |
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#endif |
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index offset = 0; |
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for (size_type n = 0; n != NumDims; ++n) |
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offset += indices[n] * strides[n]; |
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return base[offset]; |
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} |
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template <typename StrideList, typename ExtentList> |
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void compute_strides(StrideList& stride_list, ExtentList& extent_list, |
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const general_storage_order<NumDims>& storage) |
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{ |
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// invariant: stride = the stride for dimension n |
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index stride = 1; |
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for (size_type n = 0; n != NumDims; ++n) { |
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index stride_sign = +1; |
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if (!storage.ascending(storage.ordering(n))) |
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stride_sign = -1; |
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// The stride for this dimension is the product of the |
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// lengths of the ranks minor to it. |
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stride_list[storage.ordering(n)] = stride * stride_sign; |
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stride *= extent_list[storage.ordering(n)]; |
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} |
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} |
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// This calculates the offset to the array base pointer due to: |
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// 1. dimensions stored in descending order |
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// 2. non-zero dimension index bases |
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template <typename StrideList, typename ExtentList, typename BaseList> |
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index |
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calculate_origin_offset(const StrideList& stride_list, |
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const ExtentList& extent_list, |
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const general_storage_order<NumDims>& storage, |
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const BaseList& index_base_list) |
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{ |
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return |
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calculate_descending_dimension_offset(stride_list,extent_list, |
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storage) + |
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calculate_indexing_offset(stride_list,index_base_list); |
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} |
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// This calculates the offset added to the base pointer that are |
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// caused by descending dimensions |
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template <typename StrideList, typename ExtentList> |
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index |
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calculate_descending_dimension_offset(const StrideList& stride_list, |
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const ExtentList& extent_list, |
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const general_storage_order<NumDims>& storage) |
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{ |
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index offset = 0; |
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if (!storage.all_dims_ascending()) |
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for (size_type n = 0; n != NumDims; ++n) |
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if (!storage.ascending(n)) |
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offset -= (extent_list[n] - 1) * stride_list[n]; |
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return offset; |
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} |
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// This is used to reindex array_views, which are no longer |
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// concerned about storage order (specifically, whether dimensions |
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// are ascending or descending) since the viewed array handled it. |
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template <typename StrideList, typename BaseList> |
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index |
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calculate_indexing_offset(const StrideList& stride_list, |
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const BaseList& index_base_list) |
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{ |
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index offset = 0; |
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for (size_type n = 0; n != NumDims; ++n) |
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offset -= stride_list[n] * index_base_list[n]; |
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return offset; |
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} |
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// Slicing using an index_gen. |
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// Note that populating an index_gen creates a type that encodes |
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// both the number of dimensions in the current Array (NumDims), and |
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// the Number of dimensions for the resulting view. This allows the |
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// compiler to fail if the dimensions aren't completely accounted |
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// for. For reasons unbeknownst to me, a BOOST_STATIC_ASSERT |
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// within the member function template does not work. I should add a |
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// note to the documentation specifying that you get a damn ugly |
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// error message if you screw up in your slicing code. |
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template <typename ArrayRef, int NDims, typename TPtr> |
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ArrayRef |
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generate_array_view(boost::type<ArrayRef>, |
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const boost::detail::multi_array:: |
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index_gen<NumDims,NDims>& indices, |
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const size_type* extents, |
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const index* strides, |
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const index* index_bases, |
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TPtr base) const { |
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boost::array<index,NDims> new_strides; |
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boost::array<index,NDims> new_extents; |
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index offset = 0; |
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size_type dim = 0; |
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for (size_type n = 0; n != NumDims; ++n) { |
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// Use array specs and input specs to produce real specs. |
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const index default_start = index_bases[n]; |
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const index default_finish = default_start+extents[n]; |
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const index_range& current_range = indices.ranges_[n]; |
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index start = current_range.get_start(default_start); |
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index finish = current_range.get_finish(default_finish); |
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index stride = current_range.stride(); |
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BOOST_ASSERT(stride != 0); |
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// An index range indicates a half-open strided interval |
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// [start,finish) (with stride) which faces upward when stride |
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// is positive and downward when stride is negative, |
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// RG: The following code for calculating length suffers from |
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// some representation issues: if finish-start cannot be represented as |
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// by type index, then overflow may result. |
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index len; |
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if ((finish - start) / stride < 0) { |
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// [start,finish) is empty according to the direction imposed by |
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// the stride. |
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len = 0; |
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} else { |
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// integral trick for ceiling((finish-start) / stride) |
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// taking into account signs. |
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index shrinkage = stride > 0 ? 1 : -1; |
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len = (finish - start + (stride - shrinkage)) / stride; |
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} |
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// start marks the closed side of the range, so it must lie |
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// exactly in the set of legal indices |
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// with a special case for empty arrays |
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BOOST_ASSERT(index_bases[n] <= start && |
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((start <= index_bases[n]+index(extents[n])) || |
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(start == index_bases[n] && extents[n] == 0))); |
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#ifndef BOOST_DISABLE_ASSERTS |
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// finish marks the open side of the range, so it can go one past |
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// the "far side" of the range (the top if stride is positive, the bottom |
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// if stride is negative). |
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index bound_adjustment = stride < 0 ? 1 : 0; |
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BOOST_ASSERT(((index_bases[n] - bound_adjustment) <= finish) && |
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(finish <= (index_bases[n] + index(extents[n]) - bound_adjustment))); |
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#endif // BOOST_DISABLE_ASSERTS |
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// the array data pointer is modified to account for non-zero |
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// bases during slicing (see [Garcia] for the math involved) |
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offset += start * strides[n]; |
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if (!current_range.is_degenerate()) { |
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// The stride for each dimension is included into the |
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// strides for the array_view (see [Garcia] for the math involved). |
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new_strides[dim] = stride * strides[n]; |
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// calculate new extents |
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new_extents[dim] = len; |
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++dim; |
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} |
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} |
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BOOST_ASSERT(dim == NDims); |
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return |
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ArrayRef(base+offset, |
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new_extents, |
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new_strides); |
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} |
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}; |
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} // namespace multi_array |
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} // namespace detail |
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} // namespace boost |
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#endif // BASE_RG071801_HPP
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