Squashed 'third_party/boostorg/multi_array/' content from commit abcb283

Change-Id: I4b93f75f0b15b00216d918bd6db5fc4fcb9c4cc2
git-subtree-dir: third_party/boostorg/multi_array
git-subtree-split: abcb2839d56669d1b5bb8a240ec644f47c66beb2
diff --git a/include/boost/multi_array/base.hpp b/include/boost/multi_array/base.hpp
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+// Copyright 2002 The Trustees of Indiana University.
+
+// Use, modification and distribution is subject to the Boost Software 
+// License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+//  Boost.MultiArray Library
+//  Authors: Ronald Garcia
+//           Jeremy Siek
+//           Andrew Lumsdaine
+//  See http://www.boost.org/libs/multi_array for documentation.
+
+#ifndef BASE_RG071801_HPP
+#define BASE_RG071801_HPP
+
+//
+// base.hpp - some implementation base classes for from which
+// functionality is acquired
+//
+
+#include "boost/multi_array/extent_range.hpp"
+#include "boost/multi_array/extent_gen.hpp"
+#include "boost/multi_array/index_range.hpp"
+#include "boost/multi_array/index_gen.hpp"
+#include "boost/multi_array/storage_order.hpp"
+#include "boost/multi_array/types.hpp"
+#include "boost/config.hpp"
+#include "boost/multi_array/concept_checks.hpp" //for ignore_unused_...
+#include "boost/mpl/eval_if.hpp"
+#include "boost/mpl/if.hpp"
+#include "boost/mpl/size_t.hpp"
+#include "boost/iterator/reverse_iterator.hpp"
+#include "boost/static_assert.hpp"
+#include "boost/type.hpp"
+#include "boost/assert.hpp"
+#include <cstddef>
+#include <memory>
+
+namespace boost {
+
+/////////////////////////////////////////////////////////////////////////
+// class declarations
+/////////////////////////////////////////////////////////////////////////
+
+template<typename T, std::size_t NumDims,
+  typename Allocator = std::allocator<T> >
+class multi_array;
+
+// This is a public interface for use by end users!
+namespace multi_array_types {
+  typedef boost::detail::multi_array::size_type size_type;
+  typedef std::ptrdiff_t difference_type;
+  typedef boost::detail::multi_array::index index;
+  typedef detail::multi_array::index_range<index,size_type> index_range;
+  typedef detail::multi_array::extent_range<index,size_type> extent_range;
+  typedef detail::multi_array::index_gen<0,0> index_gen;
+  typedef detail::multi_array::extent_gen<0> extent_gen;
+}
+
+
+// boost::extents and boost::indices are now a part of the public
+// interface.  That way users don't necessarily have to create their 
+// own objects.  On the other hand, one may not want the overhead of 
+// object creation in small-memory environments.  Thus, the objects
+// can be left undefined by defining BOOST_MULTI_ARRAY_NO_GENERATORS 
+// before loading multi_array.hpp.
+#ifndef BOOST_MULTI_ARRAY_NO_GENERATORS
+namespace {
+  multi_array_types::extent_gen extents;
+  multi_array_types::index_gen indices;
+}
+#endif // BOOST_MULTI_ARRAY_NO_GENERATORS
+
+namespace detail {
+namespace multi_array {
+
+template <typename T, std::size_t NumDims>
+class sub_array;
+
+template <typename T, std::size_t NumDims, typename TPtr = const T*>
+class const_sub_array;
+
+  template <typename T, typename TPtr, typename NumDims, typename Reference,
+            typename IteratorCategory>
+class array_iterator;
+
+template <typename T, std::size_t NumDims, typename TPtr = const T*>
+class const_multi_array_view;
+
+template <typename T, std::size_t NumDims>
+class multi_array_view;
+
+/////////////////////////////////////////////////////////////////////////
+// class interfaces
+/////////////////////////////////////////////////////////////////////////
+
+class multi_array_base {
+public:
+  typedef multi_array_types::size_type size_type;
+  typedef multi_array_types::difference_type difference_type;
+  typedef multi_array_types::index index;
+  typedef multi_array_types::index_range index_range;
+  typedef multi_array_types::extent_range extent_range;
+  typedef multi_array_types::index_gen index_gen;
+  typedef multi_array_types::extent_gen extent_gen;
+};
+
+//
+// value_accessor_n
+//  contains the routines for accessing elements from
+//  N-dimensional views.
+//
+template<typename T, std::size_t NumDims>
+class value_accessor_n : public multi_array_base {
+  typedef multi_array_base super_type;
+public:
+  typedef typename super_type::index index;
+
+  // 
+  // public typedefs used by classes that inherit from this base
+  //
+  typedef T element;
+  typedef boost::multi_array<T,NumDims-1> value_type;
+  typedef sub_array<T,NumDims-1> reference;
+  typedef const_sub_array<T,NumDims-1> const_reference;
+
+protected:
+  // used by array operator[] and iterators to get reference types.
+  template <typename Reference, typename TPtr>
+  Reference access(boost::type<Reference>,index idx,TPtr base,
+                   const size_type* extents,
+                   const index* strides,
+                   const index* index_bases) const {
+
+    BOOST_ASSERT(idx - index_bases[0] >= 0);
+    BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]);
+    // return a sub_array<T,NDims-1> proxy object
+    TPtr newbase = base + idx * strides[0];
+    return Reference(newbase,extents+1,strides+1,index_bases+1);
+
+  }
+
+  value_accessor_n() { }
+  ~value_accessor_n() { }
+};
+
+
+
+//
+// value_accessor_one
+//  contains the routines for accessing reference elements from
+//  1-dimensional views.
+//
+template<typename T>
+class value_accessor_one : public multi_array_base {
+  typedef multi_array_base super_type;
+public:
+  typedef typename super_type::index index;
+  //
+  // public typedefs for use by classes that inherit it.
+  //
+  typedef T element;
+  typedef T value_type;
+  typedef T& reference;
+  typedef T const& const_reference;
+
+protected:
+  // used by array operator[] and iterators to get reference types.
+  template <typename Reference, typename TPtr>
+  Reference access(boost::type<Reference>,index idx,TPtr base,
+                   const size_type* extents,
+                   const index* strides,
+                   const index* index_bases) const {
+
+    ignore_unused_variable_warning(index_bases);
+    ignore_unused_variable_warning(extents);
+    BOOST_ASSERT(idx - index_bases[0] >= 0);
+    BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]);
+    return *(base + idx * strides[0]);
+  }
+
+  value_accessor_one() { }
+  ~value_accessor_one() { }
+};
+
+
+/////////////////////////////////////////////////////////////////////////
+// choose value accessor begins
+//
+
+template <typename T, std::size_t NumDims>
+struct choose_value_accessor_n {
+  typedef value_accessor_n<T,NumDims> type;
+};
+
+template <typename T>
+struct choose_value_accessor_one {
+  typedef value_accessor_one<T> type;
+};
+
+template <typename T, typename NumDims>
+struct value_accessor_generator {
+    BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims::value);
+    
+  typedef typename
+  mpl::eval_if_c<(dimensionality == 1),
+                  choose_value_accessor_one<T>,
+                  choose_value_accessor_n<T,dimensionality>
+  >::type type;
+};
+
+template <class T, class NumDims>
+struct associated_types
+  : value_accessor_generator<T,NumDims>::type
+{};
+
+//
+// choose value accessor ends
+/////////////////////////////////////////////////////////////////////////
+
+// Due to some imprecision in the C++ Standard, 
+// MSVC 2010 is broken in debug mode: it requires
+// that an Output Iterator have output_iterator_tag in its iterator_category if 
+// that iterator is not bidirectional_iterator or random_access_iterator.
+#if BOOST_WORKAROUND(BOOST_MSVC, >= 1600)
+struct mutable_iterator_tag
+ : boost::random_access_traversal_tag, std::input_iterator_tag
+{
+  operator std::output_iterator_tag() const {
+    return std::output_iterator_tag();
+  }
+};
+#endif
+
+////////////////////////////////////////////////////////////////////////
+// multi_array_base
+////////////////////////////////////////////////////////////////////////
+template <typename T, std::size_t NumDims>
+class multi_array_impl_base
+  :
+      public value_accessor_generator<T,mpl::size_t<NumDims> >::type
+{
+  typedef associated_types<T,mpl::size_t<NumDims> > types;
+public:
+  typedef typename types::index index;
+  typedef typename types::size_type size_type;
+  typedef typename types::element element;
+  typedef typename types::index_range index_range;
+  typedef typename types::value_type value_type;
+  typedef typename types::reference reference;
+  typedef typename types::const_reference const_reference;
+
+  template <std::size_t NDims>
+  struct subarray {
+    typedef boost::detail::multi_array::sub_array<T,NDims> type;
+  };
+
+  template <std::size_t NDims>
+  struct const_subarray {
+    typedef boost::detail::multi_array::const_sub_array<T,NDims> type;
+  };
+
+  template <std::size_t NDims>
+  struct array_view {
+    typedef boost::detail::multi_array::multi_array_view<T,NDims> type;
+  };
+
+  template <std::size_t NDims>
+  struct const_array_view {
+  public:
+    typedef boost::detail::multi_array::const_multi_array_view<T,NDims> type;
+  };
+
+  //
+  // iterator support
+  //
+#if BOOST_WORKAROUND(BOOST_MSVC, >= 1600)
+  // Deal with VC 2010 output_iterator_tag requirement
+  typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference,
+                         mutable_iterator_tag> iterator;
+#else
+  typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference,
+                         boost::random_access_traversal_tag> iterator;
+#endif
+  typedef array_iterator<T,T const*,mpl::size_t<NumDims>,const_reference,
+                         boost::random_access_traversal_tag> const_iterator;
+
+  typedef ::boost::reverse_iterator<iterator> reverse_iterator;
+  typedef ::boost::reverse_iterator<const_iterator> const_reverse_iterator;
+
+  BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims);
+protected:
+
+  multi_array_impl_base() { }
+  ~multi_array_impl_base() { }
+
+  // Used by operator() in our array classes
+  template <typename Reference, typename IndexList, typename TPtr>
+  Reference access_element(boost::type<Reference>,
+                           const IndexList& indices,
+                           TPtr base,
+                           const size_type* extents,
+                           const index* strides,
+                           const index* index_bases) const {
+    boost::function_requires<
+      CollectionConcept<IndexList> >();
+    ignore_unused_variable_warning(index_bases);
+    ignore_unused_variable_warning(extents);
+#if !defined(NDEBUG) && !defined(BOOST_DISABLE_ASSERTS)
+    for (size_type i = 0; i != NumDims; ++i) {
+      BOOST_ASSERT(indices[i] - index_bases[i] >= 0);
+      BOOST_ASSERT(size_type(indices[i] - index_bases[i]) < extents[i]);
+    }
+#endif
+
+    index offset = 0;
+    {
+      typename IndexList::const_iterator i = indices.begin();
+      size_type n = 0; 
+      while (n != NumDims) {
+        offset += (*i) * strides[n];
+        ++n;
+        ++i;
+      }
+    }
+    return base[offset];
+  }
+
+  template <typename StrideList, typename ExtentList>
+  void compute_strides(StrideList& stride_list, ExtentList& extent_list,
+                       const general_storage_order<NumDims>& storage)
+  {
+    // invariant: stride = the stride for dimension n
+    index stride = 1;
+    for (size_type n = 0; n != NumDims; ++n) {
+      index stride_sign = +1;
+      
+      if (!storage.ascending(storage.ordering(n)))
+        stride_sign = -1;
+      
+      // The stride for this dimension is the product of the
+      // lengths of the ranks minor to it.
+      stride_list[storage.ordering(n)] = stride * stride_sign;
+      
+      stride *= extent_list[storage.ordering(n)];
+    } 
+  }
+
+  // This calculates the offset to the array base pointer due to:
+  // 1. dimensions stored in descending order
+  // 2. non-zero dimension index bases
+  template <typename StrideList, typename ExtentList, typename BaseList>
+  index
+  calculate_origin_offset(const StrideList& stride_list,
+                          const ExtentList& extent_list,
+                          const general_storage_order<NumDims>& storage,
+                          const BaseList& index_base_list)
+  {
+    return
+      calculate_descending_dimension_offset(stride_list,extent_list,
+                                            storage) +
+      calculate_indexing_offset(stride_list,index_base_list);
+  }
+
+  // This calculates the offset added to the base pointer that are
+  // caused by descending dimensions
+  template <typename StrideList, typename ExtentList>
+  index
+  calculate_descending_dimension_offset(const StrideList& stride_list,
+                                const ExtentList& extent_list,
+                                const general_storage_order<NumDims>& storage)
+  {
+    index offset = 0;
+    if (!storage.all_dims_ascending()) 
+      for (size_type n = 0; n != NumDims; ++n)
+        if (!storage.ascending(n))
+          offset -= (extent_list[n] - 1) * stride_list[n];
+
+    return offset;
+  }
+
+  // This is used to reindex array_views, which are no longer
+  // concerned about storage order (specifically, whether dimensions
+  // are ascending or descending) since the viewed array handled it.
+
+  template <typename StrideList, typename BaseList>
+  index
+  calculate_indexing_offset(const StrideList& stride_list,
+                          const BaseList& index_base_list)
+  {
+    index offset = 0;
+    for (size_type n = 0; n != NumDims; ++n)
+        offset -= stride_list[n] * index_base_list[n];
+    return offset;
+  }
+
+  // Slicing using an index_gen.
+  // Note that populating an index_gen creates a type that encodes
+  // both the number of dimensions in the current Array (NumDims), and 
+  // the Number of dimensions for the resulting view.  This allows the 
+  // compiler to fail if the dimensions aren't completely accounted
+  // for.  For reasons unbeknownst to me, a BOOST_STATIC_ASSERT
+  // within the member function template does not work. I should add a 
+  // note to the documentation specifying that you get a damn ugly
+  // error message if you screw up in your slicing code.
+  template <typename ArrayRef, int NDims, typename TPtr>
+  ArrayRef
+  generate_array_view(boost::type<ArrayRef>,
+                      const boost::detail::multi_array::
+                      index_gen<NumDims,NDims>& indices,
+                      const size_type* extents,
+                      const index* strides,
+                      const index* index_bases,
+                      TPtr base) const {
+
+    boost::array<index,NDims> new_strides;
+    boost::array<index,NDims> new_extents;
+
+    index offset = 0;
+    size_type dim = 0;
+    for (size_type n = 0; n != NumDims; ++n) {
+
+      // Use array specs and input specs to produce real specs.
+      const index default_start = index_bases[n];
+      const index default_finish = default_start+extents[n];
+      const index_range& current_range = indices.ranges_[n];
+      index start = current_range.get_start(default_start);
+      index finish = current_range.get_finish(default_finish);
+      index stride = current_range.stride();
+      BOOST_ASSERT(stride != 0);
+
+      // An index range indicates a half-open strided interval 
+      // [start,finish) (with stride) which faces upward when stride 
+      // is positive and downward when stride is negative, 
+
+      // RG: The following code for calculating length suffers from 
+      // some representation issues: if finish-start cannot be represented as
+      // by type index, then overflow may result.
+
+      index len;
+      if ((finish - start) / stride < 0) {
+        // [start,finish) is empty according to the direction imposed by 
+        // the stride.
+        len = 0;
+      } else {
+        // integral trick for ceiling((finish-start) / stride) 
+        // taking into account signs.
+        index shrinkage = stride > 0 ? 1 : -1;
+        len = (finish - start + (stride - shrinkage)) / stride;
+      }
+
+      // start marks the closed side of the range, so it must lie
+      // exactly in the set of legal indices
+      // with a special case for empty arrays
+      BOOST_ASSERT(index_bases[n] <= start &&
+                   ((start <= index_bases[n]+index(extents[n])) ||
+                     (start == index_bases[n] && extents[n] == 0)));
+
+#ifndef BOOST_DISABLE_ASSERTS
+      // finish marks the open side of the range, so it can go one past
+      // the "far side" of the range (the top if stride is positive, the bottom
+      // if stride is negative).
+      index bound_adjustment = stride < 0 ? 1 : 0;
+      BOOST_ASSERT(((index_bases[n] - bound_adjustment) <= finish) &&
+        (finish <= (index_bases[n] + index(extents[n]) - bound_adjustment)));
+      ignore_unused_variable_warning(bound_adjustment);
+#endif // BOOST_DISABLE_ASSERTS
+
+
+      // the array data pointer is modified to account for non-zero
+      // bases during slicing (see [Garcia] for the math involved)
+      offset += start * strides[n];
+
+      if (!current_range.is_degenerate()) {
+
+        // The stride for each dimension is included into the
+        // strides for the array_view (see [Garcia] for the math involved).
+        new_strides[dim] = stride * strides[n];
+        
+        // calculate new extents
+        new_extents[dim] = len;
+        ++dim;
+      }
+    }
+    BOOST_ASSERT(dim == NDims);
+
+    return
+      ArrayRef(base+offset,
+               new_extents,
+               new_strides);
+  }
+                     
+
+};
+
+} // namespace multi_array
+} // namespace detail
+
+} // namespace boost
+
+#endif // BASE_RG071801_HPP