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1 // Copyright 2002 The Trustees of Indiana University.
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2
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3 // Use, modification and distribution is subject to the Boost Software
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4 // License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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5 // http://www.boost.org/LICENSE_1_0.txt)
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6
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7 // Boost.MultiArray Library
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8 // Authors: Ronald Garcia
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9 // Jeremy Siek
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10 // Andrew Lumsdaine
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11 // See http://www.boost.org/libs/multi_array for documentation.
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12
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13 #ifndef BASE_RG071801_HPP
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14 #define BASE_RG071801_HPP
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15
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16 //
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17 // base.hpp - some implementation base classes for from which
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18 // functionality is acquired
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19 //
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20
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21 #include "boost/multi_array/extent_range.hpp"
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22 #include "boost/multi_array/extent_gen.hpp"
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23 #include "boost/multi_array/index_range.hpp"
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24 #include "boost/multi_array/index_gen.hpp"
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25 #include "boost/multi_array/storage_order.hpp"
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26 #include "boost/multi_array/types.hpp"
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27 #include "boost/config.hpp"
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28 #include "boost/multi_array/concept_checks.hpp" //for ignore_unused_...
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29 #include "boost/mpl/eval_if.hpp"
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30 #include "boost/mpl/if.hpp"
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31 #include "boost/mpl/size_t.hpp"
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32 #include "boost/iterator/reverse_iterator.hpp"
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33 #include "boost/static_assert.hpp"
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34 #include "boost/type.hpp"
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35 #include "boost/assert.hpp"
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36 #include <cstddef>
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37 #include <memory>
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38
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39 namespace boost {
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40
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41 /////////////////////////////////////////////////////////////////////////
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42 // class declarations
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43 /////////////////////////////////////////////////////////////////////////
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44
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45 template<typename T, std::size_t NumDims,
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46 typename Allocator = std::allocator<T> >
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47 class multi_array;
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48
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49 // This is a public interface for use by end users!
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50 namespace multi_array_types {
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51 typedef boost::detail::multi_array::size_type size_type;
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52 typedef std::ptrdiff_t difference_type;
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53 typedef boost::detail::multi_array::index index;
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54 typedef detail::multi_array::index_range<index,size_type> index_range;
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55 typedef detail::multi_array::extent_range<index,size_type> extent_range;
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56 typedef detail::multi_array::index_gen<0,0> index_gen;
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57 typedef detail::multi_array::extent_gen<0> extent_gen;
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58 }
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59
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60
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61 // boost::extents and boost::indices are now a part of the public
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62 // interface. That way users don't necessarily have to create their
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63 // own objects. On the other hand, one may not want the overhead of
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64 // object creation in small-memory environments. Thus, the objects
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65 // can be left undefined by defining BOOST_MULTI_ARRAY_NO_GENERATORS
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66 // before loading multi_array.hpp.
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67 #ifndef BOOST_MULTI_ARRAY_NO_GENERATORS
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68 namespace {
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69 multi_array_types::extent_gen extents;
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70 multi_array_types::index_gen indices;
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71 }
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72 #endif // BOOST_MULTI_ARRAY_NO_GENERATORS
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73
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74 namespace detail {
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75 namespace multi_array {
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76
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77 template <typename T, std::size_t NumDims>
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78 class sub_array;
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79
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80 template <typename T, std::size_t NumDims, typename TPtr = const T*>
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81 class const_sub_array;
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82
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83 template <typename T, typename TPtr, typename NumDims, typename Reference,
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84 typename IteratorCategory>
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85 class array_iterator;
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86
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87 template <typename T, std::size_t NumDims, typename TPtr = const T*>
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88 class const_multi_array_view;
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89
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90 template <typename T, std::size_t NumDims>
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91 class multi_array_view;
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92
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93 /////////////////////////////////////////////////////////////////////////
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94 // class interfaces
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95 /////////////////////////////////////////////////////////////////////////
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96
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97 class multi_array_base {
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98 public:
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99 typedef multi_array_types::size_type size_type;
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100 typedef multi_array_types::difference_type difference_type;
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101 typedef multi_array_types::index index;
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102 typedef multi_array_types::index_range index_range;
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103 typedef multi_array_types::extent_range extent_range;
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104 typedef multi_array_types::index_gen index_gen;
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105 typedef multi_array_types::extent_gen extent_gen;
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106 };
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107
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108 //
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109 // value_accessor_n
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110 // contains the routines for accessing elements from
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111 // N-dimensional views.
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112 //
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113 template<typename T, std::size_t NumDims>
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114 class value_accessor_n : public multi_array_base {
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115 typedef multi_array_base super_type;
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116 public:
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117 typedef typename super_type::index index;
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118
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119 //
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120 // public typedefs used by classes that inherit from this base
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121 //
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122 typedef T element;
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123 typedef boost::multi_array<T,NumDims-1> value_type;
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124 typedef sub_array<T,NumDims-1> reference;
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125 typedef const_sub_array<T,NumDims-1> const_reference;
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126
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127 protected:
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128 // used by array operator[] and iterators to get reference types.
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129 template <typename Reference, typename TPtr>
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130 Reference access(boost::type<Reference>,index idx,TPtr base,
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131 const size_type* extents,
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132 const index* strides,
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133 const index* index_bases) const {
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134
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135 BOOST_ASSERT(idx - index_bases[0] >= 0);
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136 BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]);
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137 // return a sub_array<T,NDims-1> proxy object
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138 TPtr newbase = base + idx * strides[0];
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139 return Reference(newbase,extents+1,strides+1,index_bases+1);
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140
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141 }
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142
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143 value_accessor_n() { }
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144 ~value_accessor_n() { }
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145 };
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146
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147
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148
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149 //
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150 // value_accessor_one
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151 // contains the routines for accessing reference elements from
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152 // 1-dimensional views.
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153 //
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154 template<typename T>
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155 class value_accessor_one : public multi_array_base {
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156 typedef multi_array_base super_type;
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157 public:
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158 typedef typename super_type::index index;
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159 //
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160 // public typedefs for use by classes that inherit it.
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161 //
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162 typedef T element;
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163 typedef T value_type;
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164 typedef T& reference;
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165 typedef T const& const_reference;
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166
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167 protected:
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168 // used by array operator[] and iterators to get reference types.
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169 template <typename Reference, typename TPtr>
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170 Reference access(boost::type<Reference>,index idx,TPtr base,
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171 const size_type* extents,
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172 const index* strides,
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173 const index* index_bases) const {
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174
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175 ignore_unused_variable_warning(index_bases);
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176 ignore_unused_variable_warning(extents);
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177 BOOST_ASSERT(idx - index_bases[0] >= 0);
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178 BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]);
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179 return *(base + idx * strides[0]);
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180 }
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181
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182 value_accessor_one() { }
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183 ~value_accessor_one() { }
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184 };
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185
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186
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187 /////////////////////////////////////////////////////////////////////////
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188 // choose value accessor begins
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189 //
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190
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191 template <typename T, std::size_t NumDims>
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192 struct choose_value_accessor_n {
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193 typedef value_accessor_n<T,NumDims> type;
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194 };
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195
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196 template <typename T>
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197 struct choose_value_accessor_one {
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198 typedef value_accessor_one<T> type;
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199 };
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200
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201 template <typename T, typename NumDims>
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202 struct value_accessor_generator {
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203 BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims::value);
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204
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205 typedef typename
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206 mpl::eval_if_c<(dimensionality == 1),
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207 choose_value_accessor_one<T>,
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208 choose_value_accessor_n<T,dimensionality>
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209 >::type type;
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210 };
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211
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212 template <class T, class NumDims>
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213 struct associated_types
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214 : value_accessor_generator<T,NumDims>::type
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215 {};
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216
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217 //
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218 // choose value accessor ends
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219 /////////////////////////////////////////////////////////////////////////
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220
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221 // Due to some imprecision in the C++ Standard,
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222 // MSVC 2010 is broken in debug mode: it requires
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223 // that an Output Iterator have output_iterator_tag in its iterator_category if
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224 // that iterator is not bidirectional_iterator or random_access_iterator.
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225 #if BOOST_WORKAROUND(BOOST_MSVC, >= 1600)
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226 struct mutable_iterator_tag
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227 : boost::random_access_traversal_tag, std::input_iterator_tag
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228 {
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229 operator std::output_iterator_tag() const {
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230 return std::output_iterator_tag();
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231 }
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232 };
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233 #endif
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234
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235 ////////////////////////////////////////////////////////////////////////
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236 // multi_array_base
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237 ////////////////////////////////////////////////////////////////////////
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238 template <typename T, std::size_t NumDims>
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239 class multi_array_impl_base
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240 :
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241 public value_accessor_generator<T,mpl::size_t<NumDims> >::type
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242 {
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243 typedef associated_types<T,mpl::size_t<NumDims> > types;
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244 public:
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245 typedef typename types::index index;
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246 typedef typename types::size_type size_type;
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247 typedef typename types::element element;
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248 typedef typename types::index_range index_range;
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249 typedef typename types::value_type value_type;
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250 typedef typename types::reference reference;
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251 typedef typename types::const_reference const_reference;
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252
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253 template <std::size_t NDims>
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254 struct subarray {
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255 typedef boost::detail::multi_array::sub_array<T,NDims> type;
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256 };
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257
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258 template <std::size_t NDims>
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259 struct const_subarray {
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260 typedef boost::detail::multi_array::const_sub_array<T,NDims> type;
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261 };
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262
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263 template <std::size_t NDims>
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264 struct array_view {
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265 typedef boost::detail::multi_array::multi_array_view<T,NDims> type;
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266 };
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267
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268 template <std::size_t NDims>
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269 struct const_array_view {
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270 public:
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271 typedef boost::detail::multi_array::const_multi_array_view<T,NDims> type;
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272 };
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273
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274 //
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275 // iterator support
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276 //
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277 #if BOOST_WORKAROUND(BOOST_MSVC, >= 1600)
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278 // Deal with VC 2010 output_iterator_tag requirement
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279 typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference,
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280 mutable_iterator_tag> iterator;
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281 #else
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282 typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference,
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283 boost::random_access_traversal_tag> iterator;
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284 #endif
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285 typedef array_iterator<T,T const*,mpl::size_t<NumDims>,const_reference,
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286 boost::random_access_traversal_tag> const_iterator;
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287
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288 typedef ::boost::reverse_iterator<iterator> reverse_iterator;
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289 typedef ::boost::reverse_iterator<const_iterator> const_reverse_iterator;
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290
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291 BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims);
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292 protected:
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293
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294 multi_array_impl_base() { }
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295 ~multi_array_impl_base() { }
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296
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297 // Used by operator() in our array classes
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298 template <typename Reference, typename IndexList, typename TPtr>
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299 Reference access_element(boost::type<Reference>,
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300 const IndexList& indices,
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301 TPtr base,
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302 const size_type* extents,
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303 const index* strides,
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304 const index* index_bases) const {
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305 boost::function_requires<
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306 CollectionConcept<IndexList> >();
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307 ignore_unused_variable_warning(index_bases);
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308 ignore_unused_variable_warning(extents);
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309 #if !defined(NDEBUG) && !defined(BOOST_DISABLE_ASSERTS)
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310 for (size_type i = 0; i != NumDims; ++i) {
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311 BOOST_ASSERT(indices[i] - index_bases[i] >= 0);
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312 BOOST_ASSERT(size_type(indices[i] - index_bases[i]) < extents[i]);
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313 }
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314 #endif
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315
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316 index offset = 0;
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317 {
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318 typename IndexList::const_iterator i = indices.begin();
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319 size_type n = 0;
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320 while (n != NumDims) {
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321 offset += (*i) * strides[n];
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322 ++n;
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323 ++i;
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324 }
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325 }
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326 return base[offset];
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327 }
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328
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329 template <typename StrideList, typename ExtentList>
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330 void compute_strides(StrideList& stride_list, ExtentList& extent_list,
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331 const general_storage_order<NumDims>& storage)
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332 {
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333 // invariant: stride = the stride for dimension n
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334 index stride = 1;
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335 for (size_type n = 0; n != NumDims; ++n) {
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336 index stride_sign = +1;
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337
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338 if (!storage.ascending(storage.ordering(n)))
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339 stride_sign = -1;
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340
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341 // The stride for this dimension is the product of the
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342 // lengths of the ranks minor to it.
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343 stride_list[storage.ordering(n)] = stride * stride_sign;
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344
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345 stride *= extent_list[storage.ordering(n)];
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346 }
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347 }
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348
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349 // This calculates the offset to the array base pointer due to:
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350 // 1. dimensions stored in descending order
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351 // 2. non-zero dimension index bases
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352 template <typename StrideList, typename ExtentList, typename BaseList>
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353 index
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354 calculate_origin_offset(const StrideList& stride_list,
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355 const ExtentList& extent_list,
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356 const general_storage_order<NumDims>& storage,
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357 const BaseList& index_base_list)
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358 {
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359 return
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360 calculate_descending_dimension_offset(stride_list,extent_list,
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361 storage) +
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362 calculate_indexing_offset(stride_list,index_base_list);
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363 }
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364
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365 // This calculates the offset added to the base pointer that are
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366 // caused by descending dimensions
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367 template <typename StrideList, typename ExtentList>
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368 index
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369 calculate_descending_dimension_offset(const StrideList& stride_list,
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370 const ExtentList& extent_list,
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371 const general_storage_order<NumDims>& storage)
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372 {
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373 index offset = 0;
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374 if (!storage.all_dims_ascending())
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375 for (size_type n = 0; n != NumDims; ++n)
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376 if (!storage.ascending(n))
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377 offset -= (extent_list[n] - 1) * stride_list[n];
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378
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379 return offset;
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380 }
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381
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382 // This is used to reindex array_views, which are no longer
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383 // concerned about storage order (specifically, whether dimensions
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384 // are ascending or descending) since the viewed array handled it.
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385
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386 template <typename StrideList, typename BaseList>
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387 index
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388 calculate_indexing_offset(const StrideList& stride_list,
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389 const BaseList& index_base_list)
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390 {
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391 index offset = 0;
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392 for (size_type n = 0; n != NumDims; ++n)
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393 offset -= stride_list[n] * index_base_list[n];
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394 return offset;
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395 }
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396
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397 // Slicing using an index_gen.
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398 // Note that populating an index_gen creates a type that encodes
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399 // both the number of dimensions in the current Array (NumDims), and
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400 // the Number of dimensions for the resulting view. This allows the
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401 // compiler to fail if the dimensions aren't completely accounted
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402 // for. For reasons unbeknownst to me, a BOOST_STATIC_ASSERT
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403 // within the member function template does not work. I should add a
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404 // note to the documentation specifying that you get a damn ugly
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405 // error message if you screw up in your slicing code.
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406 template <typename ArrayRef, int NDims, typename TPtr>
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407 ArrayRef
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408 generate_array_view(boost::type<ArrayRef>,
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409 const boost::detail::multi_array::
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410 index_gen<NumDims,NDims>& indices,
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411 const size_type* extents,
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412 const index* strides,
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413 const index* index_bases,
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414 TPtr base) const {
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415
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416 boost::array<index,NDims> new_strides;
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417 boost::array<index,NDims> new_extents;
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418
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419 index offset = 0;
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420 size_type dim = 0;
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421 for (size_type n = 0; n != NumDims; ++n) {
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422
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423 // Use array specs and input specs to produce real specs.
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424 const index default_start = index_bases[n];
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425 const index default_finish = default_start+extents[n];
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426 const index_range& current_range = indices.ranges_[n];
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427 index start = current_range.get_start(default_start);
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428 index finish = current_range.get_finish(default_finish);
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429 index stride = current_range.stride();
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430 BOOST_ASSERT(stride != 0);
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431
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432 // An index range indicates a half-open strided interval
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433 // [start,finish) (with stride) which faces upward when stride
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434 // is positive and downward when stride is negative,
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435
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436 // RG: The following code for calculating length suffers from
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437 // some representation issues: if finish-start cannot be represented as
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438 // by type index, then overflow may result.
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439
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440 index len;
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441 if ((finish - start) / stride < 0) {
|
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442 // [start,finish) is empty according to the direction imposed by
|
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443 // the stride.
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444 len = 0;
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445 } else {
|
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446 // integral trick for ceiling((finish-start) / stride)
|
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|
447 // taking into account signs.
|
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|
448 index shrinkage = stride > 0 ? 1 : -1;
|
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|
449 len = (finish - start + (stride - shrinkage)) / stride;
|
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|
450 }
|
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|
451
|
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452 // start marks the closed side of the range, so it must lie
|
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453 // exactly in the set of legal indices
|
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|
454 // with a special case for empty arrays
|
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455 BOOST_ASSERT(index_bases[n] <= start &&
|
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456 ((start <= index_bases[n]+index(extents[n])) ||
|
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457 (start == index_bases[n] && extents[n] == 0)));
|
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|
458
|
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|
459 #ifndef BOOST_DISABLE_ASSERTS
|
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460 // finish marks the open side of the range, so it can go one past
|
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|
461 // the "far side" of the range (the top if stride is positive, the bottom
|
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|
462 // if stride is negative).
|
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|
463 index bound_adjustment = stride < 0 ? 1 : 0;
|
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|
464 BOOST_ASSERT(((index_bases[n] - bound_adjustment) <= finish) &&
|
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|
465 (finish <= (index_bases[n] + index(extents[n]) - bound_adjustment)));
|
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|
466 #endif // BOOST_DISABLE_ASSERTS
|
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|
467
|
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|
468
|
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|
469 // the array data pointer is modified to account for non-zero
|
Chris@16
|
470 // bases during slicing (see [Garcia] for the math involved)
|
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|
471 offset += start * strides[n];
|
Chris@16
|
472
|
Chris@16
|
473 if (!current_range.is_degenerate()) {
|
Chris@16
|
474
|
Chris@16
|
475 // The stride for each dimension is included into the
|
Chris@16
|
476 // strides for the array_view (see [Garcia] for the math involved).
|
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|
477 new_strides[dim] = stride * strides[n];
|
Chris@16
|
478
|
Chris@16
|
479 // calculate new extents
|
Chris@16
|
480 new_extents[dim] = len;
|
Chris@16
|
481 ++dim;
|
Chris@16
|
482 }
|
Chris@16
|
483 }
|
Chris@16
|
484 BOOST_ASSERT(dim == NDims);
|
Chris@16
|
485
|
Chris@16
|
486 return
|
Chris@16
|
487 ArrayRef(base+offset,
|
Chris@16
|
488 new_extents,
|
Chris@16
|
489 new_strides);
|
Chris@16
|
490 }
|
Chris@16
|
491
|
Chris@16
|
492
|
Chris@16
|
493 };
|
Chris@16
|
494
|
Chris@16
|
495 } // namespace multi_array
|
Chris@16
|
496 } // namespace detail
|
Chris@16
|
497
|
Chris@16
|
498 } // namespace boost
|
Chris@16
|
499
|
Chris@16
|
500 #endif // BASE_RG071801_HPP
|