1 // Copyright 2002 The Trustees of Indiana University. 2 3 // Use, modification and distribution is subject to the Boost Software 4 // License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at 5 // http://www.boost.org/LICENSE_1_0.txt) 6 7 // Boost.MultiArray Library 8 // Authors: Ronald Garcia 9 // Jeremy Siek 10 // Andrew Lumsdaine 11 // See http://www.boost.org/libs/multi_array for documentation. 12 13 #ifndef BOOST_MULTI_ARRAY_BASE_HPP 14 #define BOOST_MULTI_ARRAY_BASE_HPP 15 16 // 17 // base.hpp - some implementation base classes for from which 18 // functionality is acquired 19 // 20 21 #include "boost/multi_array/extent_range.hpp" 22 #include "boost/multi_array/extent_gen.hpp" 23 #include "boost/multi_array/index_range.hpp" 24 #include "boost/multi_array/index_gen.hpp" 25 #include "boost/multi_array/storage_order.hpp" 26 #include "boost/multi_array/types.hpp" 27 #include "boost/config.hpp" 28 #include "boost/multi_array/concept_checks.hpp" //for ignore_unused_... 29 #include "boost/mpl/eval_if.hpp" 30 #include "boost/mpl/if.hpp" 31 #include "boost/mpl/size_t.hpp" 32 #include "boost/iterator/reverse_iterator.hpp" 33 #include "boost/static_assert.hpp" 34 #include "boost/type.hpp" 35 #include "boost/assert.hpp" 36 #include <cstddef> 37 #include <memory> 38 39 namespace boost { 40 41 ///////////////////////////////////////////////////////////////////////// 42 // class declarations 43 ///////////////////////////////////////////////////////////////////////// 44 45 template<typename T, std::size_t NumDims, 46 typename Allocator = std::allocator<T> > 47 class multi_array; 48 49 // This is a public interface for use by end users! 50 namespace multi_array_types { 51 typedef boost::detail::multi_array::size_type size_type; 52 typedef std::ptrdiff_t difference_type; 53 typedef boost::detail::multi_array::index index; 54 typedef detail::multi_array::index_range<index,size_type> index_range; 55 typedef detail::multi_array::extent_range<index,size_type> extent_range; 56 typedef detail::multi_array::index_gen<0,0> index_gen; 57 typedef detail::multi_array::extent_gen<0> extent_gen; 58 } 59 60 61 // boost::extents and boost::indices are now a part of the public 62 // interface. That way users don't necessarily have to create their 63 // own objects. On the other hand, one may not want the overhead of 64 // object creation in small-memory environments. Thus, the objects 65 // can be left undefined by defining BOOST_MULTI_ARRAY_NO_GENERATORS 66 // before loading multi_array.hpp. 67 #ifndef BOOST_MULTI_ARRAY_NO_GENERATORS 68 namespace { 69 multi_array_types::extent_gen extents; 70 multi_array_types::index_gen indices; 71 } 72 #endif // BOOST_MULTI_ARRAY_NO_GENERATORS 73 74 namespace detail { 75 namespace multi_array { 76 77 template <typename T, std::size_t NumDims> 78 class sub_array; 79 80 template <typename T, std::size_t NumDims, typename TPtr = const T*> 81 class const_sub_array; 82 83 template <typename T, typename TPtr, typename NumDims, typename Reference, 84 typename IteratorCategory> 85 class array_iterator; 86 87 template <typename T, std::size_t NumDims, typename TPtr = const T*> 88 class const_multi_array_view; 89 90 template <typename T, std::size_t NumDims> 91 class multi_array_view; 92 93 ///////////////////////////////////////////////////////////////////////// 94 // class interfaces 95 ///////////////////////////////////////////////////////////////////////// 96 97 class multi_array_base { 98 public: 99 typedef multi_array_types::size_type size_type; 100 typedef multi_array_types::difference_type difference_type; 101 typedef multi_array_types::index index; 102 typedef multi_array_types::index_range index_range; 103 typedef multi_array_types::extent_range extent_range; 104 typedef multi_array_types::index_gen index_gen; 105 typedef multi_array_types::extent_gen extent_gen; 106 }; 107 108 // 109 // value_accessor_n 110 // contains the routines for accessing elements from 111 // N-dimensional views. 112 // 113 template<typename T, std::size_t NumDims> 114 class value_accessor_n : public multi_array_base { 115 typedef multi_array_base super_type; 116 public: 117 typedef typename super_type::index index; 118 119 // 120 // public typedefs used by classes that inherit from this base 121 // 122 typedef T element; 123 typedef boost::multi_array<T,NumDims-1> value_type; 124 typedef sub_array<T,NumDims-1> reference; 125 typedef const_sub_array<T,NumDims-1> const_reference; 126 127 protected: 128 // used by array operator[] and iterators to get reference types. 129 template <typename Reference, typename TPtr> access(boost::type<Reference>,index idx,TPtr base,const size_type * extents,const index * strides,const index * index_bases) const130 Reference access(boost::type<Reference>,index idx,TPtr base, 131 const size_type* extents, 132 const index* strides, 133 const index* index_bases) const { 134 135 BOOST_ASSERT(idx - index_bases[0] >= 0); 136 BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]); 137 // return a sub_array<T,NDims-1> proxy object 138 TPtr newbase = base + idx * strides[0]; 139 return Reference(newbase,extents+1,strides+1,index_bases+1); 140 141 } 142 value_accessor_n()143 value_accessor_n() { } ~value_accessor_n()144 ~value_accessor_n() { } 145 }; 146 147 148 149 // 150 // value_accessor_one 151 // contains the routines for accessing reference elements from 152 // 1-dimensional views. 153 // 154 template<typename T> 155 class value_accessor_one : public multi_array_base { 156 typedef multi_array_base super_type; 157 public: 158 typedef typename super_type::index index; 159 // 160 // public typedefs for use by classes that inherit it. 161 // 162 typedef T element; 163 typedef T value_type; 164 typedef T& reference; 165 typedef T const& const_reference; 166 167 protected: 168 // used by array operator[] and iterators to get reference types. 169 template <typename Reference, typename TPtr> access(boost::type<Reference>,index idx,TPtr base,const size_type * extents,const index * strides,const index * index_bases) const170 Reference access(boost::type<Reference>,index idx,TPtr base, 171 const size_type* extents, 172 const index* strides, 173 const index* index_bases) const { 174 175 ignore_unused_variable_warning(index_bases); 176 ignore_unused_variable_warning(extents); 177 BOOST_ASSERT(idx - index_bases[0] >= 0); 178 BOOST_ASSERT(size_type(idx - index_bases[0]) < extents[0]); 179 return *(base + idx * strides[0]); 180 } 181 value_accessor_one()182 value_accessor_one() { } ~value_accessor_one()183 ~value_accessor_one() { } 184 }; 185 186 187 ///////////////////////////////////////////////////////////////////////// 188 // choose value accessor begins 189 // 190 191 template <typename T, std::size_t NumDims> 192 struct choose_value_accessor_n { 193 typedef value_accessor_n<T,NumDims> type; 194 }; 195 196 template <typename T> 197 struct choose_value_accessor_one { 198 typedef value_accessor_one<T> type; 199 }; 200 201 template <typename T, typename NumDims> 202 struct value_accessor_generator { 203 BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims::value); 204 205 typedef typename 206 mpl::eval_if_c<(dimensionality == 1), 207 choose_value_accessor_one<T>, 208 choose_value_accessor_n<T,dimensionality> 209 >::type type; 210 }; 211 212 template <class T, class NumDims> 213 struct associated_types 214 : value_accessor_generator<T,NumDims>::type 215 {}; 216 217 // 218 // choose value accessor ends 219 ///////////////////////////////////////////////////////////////////////// 220 221 // Due to some imprecision in the C++ Standard, 222 // MSVC 2010 is broken in debug mode: it requires 223 // that an Output Iterator have output_iterator_tag in its iterator_category if 224 // that iterator is not bidirectional_iterator or random_access_iterator. 225 #if BOOST_WORKAROUND(BOOST_MSVC, >= 1600) 226 struct mutable_iterator_tag 227 : boost::random_access_traversal_tag, std::input_iterator_tag 228 { operator std::output_iterator_tagboost::detail::multi_array::mutable_iterator_tag229 operator std::output_iterator_tag() const { 230 return std::output_iterator_tag(); 231 } 232 }; 233 #endif 234 235 //////////////////////////////////////////////////////////////////////// 236 // multi_array_base 237 //////////////////////////////////////////////////////////////////////// 238 template <typename T, std::size_t NumDims> 239 class multi_array_impl_base 240 : 241 public value_accessor_generator<T,mpl::size_t<NumDims> >::type 242 { 243 typedef associated_types<T,mpl::size_t<NumDims> > types; 244 public: 245 typedef typename types::index index; 246 typedef typename types::size_type size_type; 247 typedef typename types::element element; 248 typedef typename types::index_range index_range; 249 typedef typename types::value_type value_type; 250 typedef typename types::reference reference; 251 typedef typename types::const_reference const_reference; 252 253 template <std::size_t NDims> 254 struct subarray { 255 typedef boost::detail::multi_array::sub_array<T,NDims> type; 256 }; 257 258 template <std::size_t NDims> 259 struct const_subarray { 260 typedef boost::detail::multi_array::const_sub_array<T,NDims> type; 261 }; 262 263 template <std::size_t NDims> 264 struct array_view { 265 typedef boost::detail::multi_array::multi_array_view<T,NDims> type; 266 }; 267 268 template <std::size_t NDims> 269 struct const_array_view { 270 public: 271 typedef boost::detail::multi_array::const_multi_array_view<T,NDims> type; 272 }; 273 274 // 275 // iterator support 276 // 277 #if BOOST_WORKAROUND(BOOST_MSVC, >= 1600) 278 // Deal with VC 2010 output_iterator_tag requirement 279 typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference, 280 mutable_iterator_tag> iterator; 281 #else 282 typedef array_iterator<T,T*,mpl::size_t<NumDims>,reference, 283 boost::random_access_traversal_tag> iterator; 284 #endif 285 typedef array_iterator<T,T const*,mpl::size_t<NumDims>,const_reference, 286 boost::random_access_traversal_tag> const_iterator; 287 288 typedef ::boost::reverse_iterator<iterator> reverse_iterator; 289 typedef ::boost::reverse_iterator<const_iterator> const_reverse_iterator; 290 291 BOOST_STATIC_CONSTANT(std::size_t, dimensionality = NumDims); 292 protected: 293 multi_array_impl_base()294 multi_array_impl_base() { } ~multi_array_impl_base()295 ~multi_array_impl_base() { } 296 297 // Used by operator() in our array classes 298 template <typename Reference, typename IndexList, typename TPtr> access_element(boost::type<Reference>,const IndexList & indices,TPtr base,const size_type * extents,const index * strides,const index * index_bases) const299 Reference access_element(boost::type<Reference>, 300 const IndexList& indices, 301 TPtr base, 302 const size_type* extents, 303 const index* strides, 304 const index* index_bases) const { 305 boost::function_requires< 306 CollectionConcept<IndexList> >(); 307 ignore_unused_variable_warning(index_bases); 308 ignore_unused_variable_warning(extents); 309 #if !defined(NDEBUG) && !defined(BOOST_DISABLE_ASSERTS) 310 for (size_type i = 0; i != NumDims; ++i) { 311 BOOST_ASSERT(indices[i] - index_bases[i] >= 0); 312 BOOST_ASSERT(size_type(indices[i] - index_bases[i]) < extents[i]); 313 } 314 #endif 315 316 index offset = 0; 317 { 318 typename IndexList::const_iterator i = indices.begin(); 319 size_type n = 0; 320 while (n != NumDims) { 321 offset += (*i) * strides[n]; 322 ++n; 323 ++i; 324 } 325 } 326 return base[offset]; 327 } 328 329 template <typename StrideList, typename ExtentList> compute_strides(StrideList & stride_list,ExtentList & extent_list,const general_storage_order<NumDims> & storage)330 void compute_strides(StrideList& stride_list, ExtentList& extent_list, 331 const general_storage_order<NumDims>& storage) 332 { 333 // invariant: stride = the stride for dimension n 334 index stride = 1; 335 for (size_type n = 0; n != NumDims; ++n) { 336 index stride_sign = +1; 337 338 if (!storage.ascending(storage.ordering(n))) 339 stride_sign = -1; 340 341 // The stride for this dimension is the product of the 342 // lengths of the ranks minor to it. 343 stride_list[storage.ordering(n)] = stride * stride_sign; 344 345 stride *= extent_list[storage.ordering(n)]; 346 } 347 } 348 349 // This calculates the offset to the array base pointer due to: 350 // 1. dimensions stored in descending order 351 // 2. non-zero dimension index bases 352 template <typename StrideList, typename ExtentList, typename BaseList> 353 index calculate_origin_offset(const StrideList & stride_list,const ExtentList & extent_list,const general_storage_order<NumDims> & storage,const BaseList & index_base_list)354 calculate_origin_offset(const StrideList& stride_list, 355 const ExtentList& extent_list, 356 const general_storage_order<NumDims>& storage, 357 const BaseList& index_base_list) 358 { 359 return 360 calculate_descending_dimension_offset(stride_list,extent_list, 361 storage) + 362 calculate_indexing_offset(stride_list,index_base_list); 363 } 364 365 // This calculates the offset added to the base pointer that are 366 // caused by descending dimensions 367 template <typename StrideList, typename ExtentList> 368 index calculate_descending_dimension_offset(const StrideList & stride_list,const ExtentList & extent_list,const general_storage_order<NumDims> & storage)369 calculate_descending_dimension_offset(const StrideList& stride_list, 370 const ExtentList& extent_list, 371 const general_storage_order<NumDims>& storage) 372 { 373 index offset = 0; 374 if (!storage.all_dims_ascending()) 375 for (size_type n = 0; n != NumDims; ++n) 376 if (!storage.ascending(n)) 377 offset -= (extent_list[n] - 1) * stride_list[n]; 378 379 return offset; 380 } 381 382 // This is used to reindex array_views, which are no longer 383 // concerned about storage order (specifically, whether dimensions 384 // are ascending or descending) since the viewed array handled it. 385 386 template <typename StrideList, typename BaseList> 387 index calculate_indexing_offset(const StrideList & stride_list,const BaseList & index_base_list)388 calculate_indexing_offset(const StrideList& stride_list, 389 const BaseList& index_base_list) 390 { 391 index offset = 0; 392 for (size_type n = 0; n != NumDims; ++n) 393 offset -= stride_list[n] * index_base_list[n]; 394 return offset; 395 } 396 397 // Slicing using an index_gen. 398 // Note that populating an index_gen creates a type that encodes 399 // both the number of dimensions in the current Array (NumDims), and 400 // the Number of dimensions for the resulting view. This allows the 401 // compiler to fail if the dimensions aren't completely accounted 402 // for. For reasons unbeknownst to me, a BOOST_STATIC_ASSERT 403 // within the member function template does not work. I should add a 404 // note to the documentation specifying that you get a damn ugly 405 // error message if you screw up in your slicing code. 406 template <typename ArrayRef, int NDims, typename TPtr> 407 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) const408 generate_array_view(boost::type<ArrayRef>, 409 const boost::detail::multi_array:: 410 index_gen<NumDims,NDims>& indices, 411 const size_type* extents, 412 const index* strides, 413 const index* index_bases, 414 TPtr base) const { 415 416 boost::array<index,NDims> new_strides; 417 boost::array<index,NDims> new_extents; 418 419 index offset = 0; 420 size_type dim = 0; 421 for (size_type n = 0; n != NumDims; ++n) { 422 423 // Use array specs and input specs to produce real specs. 424 const index default_start = index_bases[n]; 425 const index default_finish = default_start+extents[n]; 426 const index_range& current_range = indices.ranges_[n]; 427 index start = current_range.get_start(default_start); 428 index finish = current_range.get_finish(default_finish); 429 index stride = current_range.stride(); 430 BOOST_ASSERT(stride != 0); 431 432 // An index range indicates a half-open strided interval 433 // [start,finish) (with stride) which faces upward when stride 434 // is positive and downward when stride is negative, 435 436 // RG: The following code for calculating length suffers from 437 // some representation issues: if finish-start cannot be represented as 438 // by type index, then overflow may result. 439 440 index len; 441 if ((finish - start) / stride < 0) { 442 // [start,finish) is empty according to the direction imposed by 443 // the stride. 444 len = 0; 445 } else { 446 // integral trick for ceiling((finish-start) / stride) 447 // taking into account signs. 448 index shrinkage = stride > 0 ? 1 : -1; 449 len = (finish - start + (stride - shrinkage)) / stride; 450 } 451 452 // start marks the closed side of the range, so it must lie 453 // exactly in the set of legal indices 454 // with a special case for empty arrays 455 BOOST_ASSERT(index_bases[n] <= start && 456 ((start <= index_bases[n]+index(extents[n])) || 457 (start == index_bases[n] && extents[n] == 0))); 458 459 #ifndef BOOST_DISABLE_ASSERTS 460 // finish marks the open side of the range, so it can go one past 461 // the "far side" of the range (the top if stride is positive, the bottom 462 // if stride is negative). 463 index bound_adjustment = stride < 0 ? 1 : 0; 464 BOOST_ASSERT(((index_bases[n] - bound_adjustment) <= finish) && 465 (finish <= (index_bases[n] + index(extents[n]) - bound_adjustment))); 466 ignore_unused_variable_warning(bound_adjustment); 467 #endif // BOOST_DISABLE_ASSERTS 468 469 470 // the array data pointer is modified to account for non-zero 471 // bases during slicing (see [Garcia] for the math involved) 472 offset += start * strides[n]; 473 474 if (!current_range.is_degenerate()) { 475 476 // The stride for each dimension is included into the 477 // strides for the array_view (see [Garcia] for the math involved). 478 new_strides[dim] = stride * strides[n]; 479 480 // calculate new extents 481 new_extents[dim] = len; 482 ++dim; 483 } 484 } 485 BOOST_ASSERT(dim == NDims); 486 487 return 488 ArrayRef(base+offset, 489 new_extents, 490 new_strides); 491 } 492 493 494 }; 495 496 } // namespace multi_array 497 } // namespace detail 498 499 } // namespace boost 500 501 #endif 502