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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog@gmail.com>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 
10 #ifndef EIGEN_CXX11_TENSOR_TENSOR_INDEX_LIST_H
11 #define EIGEN_CXX11_TENSOR_TENSOR_INDEX_LIST_H
12 
13 
14 #if EIGEN_HAS_CONSTEXPR && EIGEN_HAS_VARIADIC_TEMPLATES
15 
16 #define EIGEN_HAS_INDEX_LIST
17 
18 namespace Eigen {
19 
20 /** \internal
21   *
22   * \class TensorIndexList
23   * \ingroup CXX11_Tensor_Module
24   *
25   * \brief Set of classes used to encode a set of Tensor dimensions/indices.
26   *
27   * The indices in the list can be known at compile time or at runtime. A mix
28   * of static and dynamic indices can also be provided if needed. The tensor
29   * code will attempt to take advantage of the indices that are known at
30   * compile time to optimize the code it generates.
31   *
32   * This functionality requires a c++11 compliant compiler. If your compiler
33   * is older you need to use arrays of indices instead.
34   *
35   * Several examples are provided in the cxx11_tensor_index_list.cpp file.
36   *
37   * \sa Tensor
38   */
39 
40 template <DenseIndex n>
41 struct type2index {
42   static const DenseIndex value = n;
DenseIndextype2index43   EIGEN_DEVICE_FUNC constexpr operator DenseIndex() const { return n; }
settype2index44   EIGEN_DEVICE_FUNC void set(DenseIndex val) {
45     eigen_assert(val == n);
46   }
47 };
48 
49 // This can be used with IndexPairList to get compile-time constant pairs,
50 // such as IndexPairList<type2indexpair<1,2>, type2indexpair<3,4>>().
51 template <DenseIndex f, DenseIndex s>
52 struct type2indexpair {
53   static const DenseIndex first = f;
54   static const DenseIndex second = s;
55 
56   constexpr EIGEN_DEVICE_FUNC operator IndexPair<DenseIndex>() const {
57     return IndexPair<DenseIndex>(f, s);
58   }
59 
settype2indexpair60   EIGEN_DEVICE_FUNC void set(const IndexPair<DenseIndex>& val) {
61     eigen_assert(val.first == f);
62     eigen_assert(val.second == s);
63   }
64 };
65 
66 
67 template<DenseIndex n> struct NumTraits<type2index<n> >
68 {
69   typedef DenseIndex Real;
70   enum {
71     IsComplex = 0,
72     RequireInitialization = false,
73     ReadCost = 1,
74     AddCost = 1,
75     MulCost = 1
76   };
77 
78   EIGEN_DEVICE_FUNC static inline Real epsilon() { return 0; }
79   EIGEN_DEVICE_FUNC static inline Real dummy_precision() { return 0; }
80   EIGEN_DEVICE_FUNC static inline Real highest() { return n; }
81   EIGEN_DEVICE_FUNC static inline Real lowest() { return n; }
82 };
83 
84 namespace internal {
85 template <typename T>
86 EIGEN_DEVICE_FUNC void update_value(T& val, DenseIndex new_val) {
87   val = new_val;
88 }
89 template <DenseIndex n>
90 EIGEN_DEVICE_FUNC void update_value(type2index<n>& val, DenseIndex new_val) {
91   val.set(new_val);
92 }
93 
94 template <typename T>
95 EIGEN_DEVICE_FUNC void update_value(T& val, IndexPair<DenseIndex> new_val) {
96   val = new_val;
97 }
98 template <DenseIndex f, DenseIndex s>
99 EIGEN_DEVICE_FUNC void update_value(type2indexpair<f, s>& val, IndexPair<DenseIndex> new_val) {
100   val.set(new_val);
101 }
102 
103 
104 template <typename T>
105 struct is_compile_time_constant {
106   static constexpr bool value = false;
107 };
108 
109 template <DenseIndex idx>
110 struct is_compile_time_constant<type2index<idx> > {
111   static constexpr bool value = true;
112 };
113 template <DenseIndex idx>
114 struct is_compile_time_constant<const type2index<idx> > {
115   static constexpr bool value = true;
116 };
117 template <DenseIndex idx>
118 struct is_compile_time_constant<type2index<idx>& > {
119   static constexpr bool value = true;
120 };
121 template <DenseIndex idx>
122 struct is_compile_time_constant<const type2index<idx>& > {
123   static constexpr bool value = true;
124 };
125 
126 template <DenseIndex f, DenseIndex s>
127 struct is_compile_time_constant<type2indexpair<f, s> > {
128   static constexpr bool value = true;
129 };
130 template <DenseIndex f, DenseIndex s>
131 struct is_compile_time_constant<const type2indexpair<f, s> > {
132   static constexpr bool value = true;
133 };
134 template <DenseIndex f, DenseIndex s>
135 struct is_compile_time_constant<type2indexpair<f, s>& > {
136   static constexpr bool value = true;
137 };
138 template <DenseIndex f, DenseIndex s>
139 struct is_compile_time_constant<const type2indexpair<f, s>& > {
140   static constexpr bool value = true;
141 };
142 
143 
144 template<typename... T>
145 struct IndexTuple;
146 
147 template<typename T, typename... O>
148 struct IndexTuple<T, O...> {
149   EIGEN_DEVICE_FUNC constexpr IndexTuple() : head(), others() { }
150   EIGEN_DEVICE_FUNC constexpr IndexTuple(const T& v, const O... o) : head(v), others(o...) { }
151 
152   constexpr static int count = 1 + sizeof...(O);
153   T head;
154   IndexTuple<O...> others;
155   typedef T Head;
156   typedef IndexTuple<O...> Other;
157 };
158 
159 template<typename T>
160   struct IndexTuple<T> {
161   EIGEN_DEVICE_FUNC constexpr IndexTuple() : head() { }
162   EIGEN_DEVICE_FUNC constexpr IndexTuple(const T& v) : head(v) { }
163 
164   constexpr static int count = 1;
165   T head;
166   typedef T Head;
167 };
168 
169 
170 template<int N, typename... T>
171 struct IndexTupleExtractor;
172 
173 template<int N, typename T, typename... O>
174 struct IndexTupleExtractor<N, T, O...> {
175 
176   typedef typename IndexTupleExtractor<N-1, O...>::ValType ValType;
177 
178   EIGEN_DEVICE_FUNC static constexpr ValType& get_val(IndexTuple<T, O...>& val) {
179     return IndexTupleExtractor<N-1, O...>::get_val(val.others);
180   }
181 
182   EIGEN_DEVICE_FUNC static constexpr const ValType& get_val(const IndexTuple<T, O...>& val) {
183     return IndexTupleExtractor<N-1, O...>::get_val(val.others);
184   }
185   template <typename V>
186   EIGEN_DEVICE_FUNC static void set_val(IndexTuple<T, O...>& val, V& new_val) {
187     IndexTupleExtractor<N-1, O...>::set_val(val.others, new_val);
188   }
189 
190 };
191 
192 template<typename T, typename... O>
193   struct IndexTupleExtractor<0, T, O...> {
194 
195   typedef T ValType;
196 
197   EIGEN_DEVICE_FUNC static constexpr ValType& get_val(IndexTuple<T, O...>& val) {
198     return val.head;
199   }
200   EIGEN_DEVICE_FUNC static constexpr const ValType& get_val(const IndexTuple<T, O...>& val) {
201     return val.head;
202   }
203   template <typename V>
204   EIGEN_DEVICE_FUNC static void set_val(IndexTuple<T, O...>& val, V& new_val) {
205     val.head = new_val;
206   }
207 };
208 
209 
210 
211 template <int N, typename T, typename... O>
212 EIGEN_DEVICE_FUNC constexpr typename IndexTupleExtractor<N, T, O...>::ValType& array_get(IndexTuple<T, O...>& tuple) {
213   return IndexTupleExtractor<N, T, O...>::get_val(tuple);
214 }
215 template <int N, typename T, typename... O>
216 EIGEN_DEVICE_FUNC constexpr const typename IndexTupleExtractor<N, T, O...>::ValType& array_get(const IndexTuple<T, O...>& tuple) {
217   return IndexTupleExtractor<N, T, O...>::get_val(tuple);
218 }
219 template <typename T, typename... O>
220   struct array_size<IndexTuple<T, O...> > {
221   static const size_t value = IndexTuple<T, O...>::count;
222 };
223 template <typename T, typename... O>
224   struct array_size<const IndexTuple<T, O...> > {
225   static const size_t value = IndexTuple<T, O...>::count;
226 };
227 
228 
229 
230 
231 template <DenseIndex Idx, typename ValueT>
232 struct tuple_coeff {
233   template <typename... T>
234   EIGEN_DEVICE_FUNC static constexpr ValueT get(const DenseIndex i, const IndexTuple<T...>& t) {
235     //    return array_get<Idx>(t) * (i == Idx) + tuple_coeff<Idx-1>::get(i, t) * (i != Idx);
236     return (i == Idx ? array_get<Idx>(t) : tuple_coeff<Idx-1, ValueT>::get(i, t));
237   }
238   template <typename... T>
239   EIGEN_DEVICE_FUNC static void set(const DenseIndex i, IndexTuple<T...>& t, const ValueT& value) {
240     if (i == Idx) {
241       update_value(array_get<Idx>(t), value);
242     } else {
243       tuple_coeff<Idx-1, ValueT>::set(i, t, value);
244     }
245   }
246 
247   template <typename... T>
248   EIGEN_DEVICE_FUNC static constexpr bool value_known_statically(const DenseIndex i, const IndexTuple<T...>& t) {
249     return ((i == Idx) & is_compile_time_constant<typename IndexTupleExtractor<Idx, T...>::ValType>::value) ||
250         tuple_coeff<Idx-1, ValueT>::value_known_statically(i, t);
251   }
252 
253   template <typename... T>
254   EIGEN_DEVICE_FUNC static constexpr bool values_up_to_known_statically(const IndexTuple<T...>& t) {
255     return is_compile_time_constant<typename IndexTupleExtractor<Idx, T...>::ValType>::value &&
256         tuple_coeff<Idx-1, ValueT>::values_up_to_known_statically(t);
257   }
258 
259   template <typename... T>
260   EIGEN_DEVICE_FUNC static constexpr bool values_up_to_statically_known_to_increase(const IndexTuple<T...>& t) {
261     return is_compile_time_constant<typename IndexTupleExtractor<Idx, T...>::ValType>::value &&
262            is_compile_time_constant<typename IndexTupleExtractor<Idx, T...>::ValType>::value &&
263            array_get<Idx>(t) > array_get<Idx-1>(t) &&
264            tuple_coeff<Idx-1, ValueT>::values_up_to_statically_known_to_increase(t);
265   }
266 };
267 
268 template <typename ValueT>
269 struct tuple_coeff<0, ValueT> {
270   template <typename... T>
271   EIGEN_DEVICE_FUNC static constexpr ValueT get(const DenseIndex /*i*/, const IndexTuple<T...>& t) {
272     //  eigen_assert (i == 0);  // gcc fails to compile assertions in constexpr
273     return array_get<0>(t)/* * (i == 0)*/;
274   }
275   template <typename... T>
276   EIGEN_DEVICE_FUNC static void set(const DenseIndex i, IndexTuple<T...>& t, const ValueT value) {
277     eigen_assert (i == 0);
278     update_value(array_get<0>(t), value);
279   }
280   template <typename... T>
281   EIGEN_DEVICE_FUNC static constexpr bool value_known_statically(const DenseIndex i, const IndexTuple<T...>&) {
282     return is_compile_time_constant<typename IndexTupleExtractor<0, T...>::ValType>::value & (i == 0);
283   }
284 
285   template <typename... T>
286   EIGEN_DEVICE_FUNC static constexpr bool values_up_to_known_statically(const IndexTuple<T...>&) {
287     return is_compile_time_constant<typename IndexTupleExtractor<0, T...>::ValType>::value;
288   }
289 
290   template <typename... T>
291   EIGEN_DEVICE_FUNC static constexpr bool values_up_to_statically_known_to_increase(const IndexTuple<T...>&) {
292     return true;
293   }
294 };
295 }  // namespace internal
296 
297 
298 
299 template<typename FirstType, typename... OtherTypes>
300 struct IndexList : internal::IndexTuple<FirstType, OtherTypes...> {
301   EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC constexpr DenseIndex operator[] (const DenseIndex i) const {
302     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::get(i, *this);
303   }
304   EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC constexpr DenseIndex get(const DenseIndex i) const {
305     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::get(i, *this);
306   }
307   EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC void set(const DenseIndex i, const DenseIndex value) {
308     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::set(i, *this, value);
309   }
310 
311   EIGEN_DEVICE_FUNC constexpr IndexList(const internal::IndexTuple<FirstType, OtherTypes...>& other) : internal::IndexTuple<FirstType, OtherTypes...>(other) { }
312   EIGEN_DEVICE_FUNC constexpr IndexList(FirstType& first, OtherTypes... other) : internal::IndexTuple<FirstType, OtherTypes...>(first, other...) { }
313   EIGEN_DEVICE_FUNC constexpr IndexList() : internal::IndexTuple<FirstType, OtherTypes...>() { }
314 
315   EIGEN_DEVICE_FUNC constexpr bool value_known_statically(const DenseIndex i) const {
316     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::value_known_statically(i, *this);
317   }
318   EIGEN_DEVICE_FUNC constexpr bool all_values_known_statically() const {
319     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::values_up_to_known_statically(*this);
320   }
321 
322   EIGEN_DEVICE_FUNC constexpr bool values_statically_known_to_increase() const {
323     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::values_up_to_statically_known_to_increase(*this);
324   }
325 };
326 
327 
328 template<typename FirstType, typename... OtherTypes>
329 constexpr IndexList<FirstType, OtherTypes...> make_index_list(FirstType val1, OtherTypes... other_vals) {
330   return IndexList<FirstType, OtherTypes...>(val1, other_vals...);
331 }
332 
333 
334 template<typename FirstType, typename... OtherTypes>
335 struct IndexPairList : internal::IndexTuple<FirstType, OtherTypes...> {
336   EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC constexpr IndexPair<DenseIndex> operator[] (const DenseIndex i) const {
337     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, IndexPair<DenseIndex>>::get(i, *this);
338   }
339   EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC void set(const DenseIndex i, const IndexPair<DenseIndex> value) {
340     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...>>::value-1, IndexPair<DenseIndex> >::set(i, *this, value);
341   }
342 
343   EIGEN_DEVICE_FUNC  constexpr IndexPairList(const internal::IndexTuple<FirstType, OtherTypes...>& other) : internal::IndexTuple<FirstType, OtherTypes...>(other) { }
344   EIGEN_DEVICE_FUNC  constexpr IndexPairList() : internal::IndexTuple<FirstType, OtherTypes...>() { }
345 
346   EIGEN_DEVICE_FUNC constexpr bool value_known_statically(const DenseIndex i) const {
347     return internal::tuple_coeff<internal::array_size<internal::IndexTuple<FirstType, OtherTypes...> >::value-1, DenseIndex>::value_known_statically(i, *this);
348   }
349 };
350 
351 namespace internal {
352 
353 template<typename FirstType, typename... OtherTypes> size_t array_prod(const IndexList<FirstType, OtherTypes...>& sizes) {
354   size_t result = 1;
355   for (int i = 0; i < array_size<IndexList<FirstType, OtherTypes...> >::value; ++i) {
356     result *= sizes[i];
357   }
358   return result;
359 }
360 
361 template<typename FirstType, typename... OtherTypes> struct array_size<IndexList<FirstType, OtherTypes...> > {
362   static const size_t value = array_size<IndexTuple<FirstType, OtherTypes...> >::value;
363 };
364 template<typename FirstType, typename... OtherTypes> struct array_size<const IndexList<FirstType, OtherTypes...> > {
365   static const size_t value = array_size<IndexTuple<FirstType, OtherTypes...> >::value;
366 };
367 
368 template<typename FirstType, typename... OtherTypes> struct array_size<IndexPairList<FirstType, OtherTypes...> > {
369   static const size_t value = std::tuple_size<std::tuple<FirstType, OtherTypes...> >::value;
370 };
371 template<typename FirstType, typename... OtherTypes> struct array_size<const IndexPairList<FirstType, OtherTypes...> > {
372   static const size_t value = std::tuple_size<std::tuple<FirstType, OtherTypes...> >::value;
373 };
374 
375 template<DenseIndex N, typename FirstType, typename... OtherTypes> EIGEN_DEVICE_FUNC constexpr DenseIndex array_get(IndexList<FirstType, OtherTypes...>& a) {
376   return IndexTupleExtractor<N, FirstType, OtherTypes...>::get_val(a);
377 }
378 template<DenseIndex N, typename FirstType, typename... OtherTypes> EIGEN_DEVICE_FUNC constexpr DenseIndex array_get(const IndexList<FirstType, OtherTypes...>& a) {
379   return IndexTupleExtractor<N, FirstType, OtherTypes...>::get_val(a);
380 }
381 
382 template <typename T>
383 struct index_known_statically_impl {
384   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex) {
385     return false;
386   }
387 };
388 
389 template <typename FirstType, typename... OtherTypes>
390 struct index_known_statically_impl<IndexList<FirstType, OtherTypes...> > {
391   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i) {
392     return IndexList<FirstType, OtherTypes...>().value_known_statically(i);
393   }
394 };
395 
396 template <typename FirstType, typename... OtherTypes>
397 struct index_known_statically_impl<const IndexList<FirstType, OtherTypes...> > {
398   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i) {
399     return IndexList<FirstType, OtherTypes...>().value_known_statically(i);
400   }
401 };
402 
403 
404 template <typename T>
405 struct all_indices_known_statically_impl {
406   static constexpr bool run() {
407     return false;
408   }
409 };
410 
411 template <typename FirstType, typename... OtherTypes>
412 struct all_indices_known_statically_impl<IndexList<FirstType, OtherTypes...> > {
413   EIGEN_DEVICE_FUNC static constexpr bool run() {
414     return IndexList<FirstType, OtherTypes...>().all_values_known_statically();
415   }
416 };
417 
418 template <typename FirstType, typename... OtherTypes>
419 struct all_indices_known_statically_impl<const IndexList<FirstType, OtherTypes...> > {
420   EIGEN_DEVICE_FUNC static constexpr bool run() {
421     return IndexList<FirstType, OtherTypes...>().all_values_known_statically();
422   }
423 };
424 
425 
426 template <typename T>
427 struct indices_statically_known_to_increase_impl {
428   EIGEN_DEVICE_FUNC static constexpr bool run() {
429     return false;
430   }
431 };
432 
433 template <typename FirstType, typename... OtherTypes>
434   struct indices_statically_known_to_increase_impl<IndexList<FirstType, OtherTypes...> > {
435   EIGEN_DEVICE_FUNC static constexpr bool run() {
436     return Eigen::IndexList<FirstType, OtherTypes...>().values_statically_known_to_increase();
437   }
438 };
439 
440 template <typename FirstType, typename... OtherTypes>
441   struct indices_statically_known_to_increase_impl<const IndexList<FirstType, OtherTypes...> > {
442   EIGEN_DEVICE_FUNC static constexpr bool run() {
443     return Eigen::IndexList<FirstType, OtherTypes...>().values_statically_known_to_increase();
444   }
445 };
446 
447 
448 template <typename Tx>
449 struct index_statically_eq_impl {
450   EIGEN_DEVICE_FUNC static constexpr bool run(DenseIndex, DenseIndex) {
451     return false;
452   }
453 };
454 
455 template <typename FirstType, typename... OtherTypes>
456 struct index_statically_eq_impl<IndexList<FirstType, OtherTypes...> > {
457   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
458     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
459         (IndexList<FirstType, OtherTypes...>().get(i) == value);
460   }
461 };
462 
463 template <typename FirstType, typename... OtherTypes>
464 struct index_statically_eq_impl<const IndexList<FirstType, OtherTypes...> > {
465   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
466     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
467         (IndexList<FirstType, OtherTypes...>().get(i) == value);
468   }
469 };
470 
471 
472 template <typename T>
473 struct index_statically_ne_impl {
474   EIGEN_DEVICE_FUNC static constexpr bool run(DenseIndex, DenseIndex) {
475     return false;
476   }
477 };
478 
479 template <typename FirstType, typename... OtherTypes>
480 struct index_statically_ne_impl<IndexList<FirstType, OtherTypes...> > {
481   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
482     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
483         (IndexList<FirstType, OtherTypes...>().get(i) != value);
484   }
485 };
486 
487 template <typename FirstType, typename... OtherTypes>
488 struct index_statically_ne_impl<const IndexList<FirstType, OtherTypes...> > {
489   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
490     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
491         (IndexList<FirstType, OtherTypes...>().get(i) != value);
492   }
493 };
494 
495 
496 template <typename T>
497 struct index_statically_gt_impl {
498   EIGEN_DEVICE_FUNC static constexpr bool run(DenseIndex, DenseIndex) {
499     return false;
500   }
501 };
502 
503 template <typename FirstType, typename... OtherTypes>
504 struct index_statically_gt_impl<IndexList<FirstType, OtherTypes...> > {
505   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
506     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
507         (IndexList<FirstType, OtherTypes...>().get(i) > value);
508   }
509 };
510 
511 template <typename FirstType, typename... OtherTypes>
512 struct index_statically_gt_impl<const IndexList<FirstType, OtherTypes...> > {
513   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
514     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
515         (IndexList<FirstType, OtherTypes...>().get(i) > value);
516   }
517 };
518 
519 
520 
521 template <typename T>
522 struct index_statically_lt_impl {
523   EIGEN_DEVICE_FUNC static constexpr bool run(DenseIndex, DenseIndex) {
524     return false;
525   }
526 };
527 
528 template <typename FirstType, typename... OtherTypes>
529 struct index_statically_lt_impl<IndexList<FirstType, OtherTypes...> > {
530   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
531     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
532         (IndexList<FirstType, OtherTypes...>().get(i) < value);
533   }
534 };
535 
536 template <typename FirstType, typename... OtherTypes>
537 struct index_statically_lt_impl<const IndexList<FirstType, OtherTypes...> > {
538   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
539     return IndexList<FirstType, OtherTypes...>().value_known_statically(i) &
540         (IndexList<FirstType, OtherTypes...>().get(i) < value);
541   }
542 };
543 
544 
545 
546 template <typename Tx>
547 struct index_pair_first_statically_eq_impl {
548   EIGEN_DEVICE_FUNC static constexpr bool run(DenseIndex, DenseIndex) {
549     return false;
550   }
551 };
552 
553 template <typename FirstType, typename... OtherTypes>
554 struct index_pair_first_statically_eq_impl<IndexPairList<FirstType, OtherTypes...> > {
555   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
556     return IndexPairList<FirstType, OtherTypes...>().value_known_statically(i) &
557         (IndexPairList<FirstType, OtherTypes...>().operator[](i).first == value);
558   }
559 };
560 
561 template <typename FirstType, typename... OtherTypes>
562 struct index_pair_first_statically_eq_impl<const IndexPairList<FirstType, OtherTypes...> > {
563   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
564     return IndexPairList<FirstType, OtherTypes...>().value_known_statically(i) &
565         (IndexPairList<FirstType, OtherTypes...>().operator[](i).first == value);
566   }
567 };
568 
569 
570 
571 template <typename Tx>
572 struct index_pair_second_statically_eq_impl {
573   EIGEN_DEVICE_FUNC static constexpr bool run(DenseIndex, DenseIndex) {
574     return false;
575   }
576 };
577 
578 template <typename FirstType, typename... OtherTypes>
579 struct index_pair_second_statically_eq_impl<IndexPairList<FirstType, OtherTypes...> > {
580   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
581     return IndexPairList<FirstType, OtherTypes...>().value_known_statically(i) &
582         (IndexPairList<FirstType, OtherTypes...>().operator[](i).second == value);
583   }
584 };
585 
586 template <typename FirstType, typename... OtherTypes>
587 struct index_pair_second_statically_eq_impl<const IndexPairList<FirstType, OtherTypes...> > {
588   EIGEN_DEVICE_FUNC static constexpr bool run(const DenseIndex i, const DenseIndex value) {
589     return IndexPairList<FirstType, OtherTypes...>().value_known_statically(i) &
590         (IndexPairList<FirstType, OtherTypes...>().operator[](i).second == value);
591   }
592 };
593 
594 
595 }  // end namespace internal
596 }  // end namespace Eigen
597 
598 #else
599 
600 namespace Eigen {
601 namespace internal {
602 
603 template <typename T>
604 struct index_known_statically_impl {
605   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(const DenseIndex) {
606     return false;
607   }
608 };
609 
610 template <typename T>
611 struct all_indices_known_statically_impl {
612   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run() {
613     return false;
614   }
615 };
616 
617 template <typename T>
618 struct indices_statically_known_to_increase_impl {
619   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run() {
620     return false;
621   }
622 };
623 
624 template <typename T>
625 struct index_statically_eq_impl {
626   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(DenseIndex, DenseIndex) {
627     return false;
628   }
629 };
630 
631 template <typename T>
632 struct index_statically_ne_impl {
633   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(DenseIndex, DenseIndex) {
634     return false;
635   }
636 };
637 
638 template <typename T>
639 struct index_statically_gt_impl {
640   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(DenseIndex, DenseIndex) {
641     return false;
642   }
643 };
644 
645 template <typename T>
646 struct index_statically_lt_impl {
647   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(DenseIndex, DenseIndex) {
648     return false;
649   }
650 };
651 
652 template <typename Tx>
653 struct index_pair_first_statically_eq_impl {
654   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(DenseIndex, DenseIndex) {
655     return false;
656   }
657 };
658 
659 template <typename Tx>
660 struct index_pair_second_statically_eq_impl {
661   static EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE bool run(DenseIndex, DenseIndex) {
662     return false;
663   }
664 };
665 
666 
667 
668 }  // end namespace internal
669 }  // end namespace Eigen
670 
671 #endif
672 
673 
674 namespace Eigen {
675 namespace internal {
676 template <typename T>
677 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_known_statically(DenseIndex i) {
678   return index_known_statically_impl<T>::run(i);
679 }
680 
681 template <typename T>
682 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool all_indices_known_statically() {
683   return all_indices_known_statically_impl<T>::run();
684 }
685 
686 template <typename T>
687 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool indices_statically_known_to_increase() {
688   return indices_statically_known_to_increase_impl<T>::run();
689 }
690 
691 template <typename T>
692 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_statically_eq(DenseIndex i, DenseIndex value) {
693   return index_statically_eq_impl<T>::run(i, value);
694 }
695 
696 template <typename T>
697 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_statically_ne(DenseIndex i, DenseIndex value) {
698   return index_statically_ne_impl<T>::run(i, value);
699 }
700 
701 template <typename T>
702 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_statically_gt(DenseIndex i, DenseIndex value) {
703   return index_statically_gt_impl<T>::run(i, value);
704 }
705 
706 template <typename T>
707 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_statically_lt(DenseIndex i, DenseIndex value) {
708   return index_statically_lt_impl<T>::run(i, value);
709 }
710 
711 template <typename T>
712 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_pair_first_statically_eq(DenseIndex i, DenseIndex value) {
713   return index_pair_first_statically_eq_impl<T>::run(i, value);
714 }
715 
716 template <typename T>
717 static EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR bool index_pair_second_statically_eq(DenseIndex i, DenseIndex value) {
718   return index_pair_second_statically_eq_impl<T>::run(i, value);
719 }
720 
721 }  // end namespace internal
722 }  // end namespace Eigen
723 
724 
725 #endif // EIGEN_CXX11_TENSOR_TENSOR_INDEX_LIST_H
726