Reference documentation for deal.II version 9.4.1
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aligned_vector.h
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1// ---------------------------------------------------------------------
2//
3// Copyright (C) 2011 - 2022 by the deal.II authors
4//
5// This file is part of the deal.II library.
6//
7// The deal.II library is free software; you can use it, redistribute
8// it, and/or modify it under the terms of the GNU Lesser General
9// Public License as published by the Free Software Foundation; either
10// version 2.1 of the License, or (at your option) any later version.
11// The full text of the license can be found in the file LICENSE.md at
12// the top level directory of deal.II.
13//
14// ---------------------------------------------------------------------
15
16
17#ifndef dealii_aligned_vector_h
18#define dealii_aligned_vector_h
19
20#include <deal.II/base/config.h>
21
24#include <deal.II/base/mpi.h>
27
28// boost::serialization::make_array used to be in array.hpp, but was
29// moved to a different file in BOOST 1.64
30#include <boost/version.hpp>
31#if BOOST_VERSION >= 106400
32# include <boost/serialization/array_wrapper.hpp>
33#else
34# include <boost/serialization/array.hpp>
35#endif
36#include <boost/serialization/split_member.hpp>
37
38#include <cstring>
39#include <memory>
40#include <type_traits>
41
42
43
45
46
60template <class T>
62{
63public:
68 using value_type = T;
70 using const_pointer = const value_type *;
72 using const_iterator = const value_type *;
74 using const_reference = const value_type &;
75 using size_type = std::size_t;
76
81
88 explicit AlignedVector(const size_type size, const T &init = T());
89
93 ~AlignedVector() = default;
94
101
107
115
121
144 void
145 resize_fast(const size_type new_size);
146
159 void
160 resize(const size_type new_size);
161
177 void
178 resize(const size_type new_size, const T &init);
179
200 void
201 reserve(const size_type new_allocated_size);
202
207 void
209
215 void
216 push_back(const T in_data);
217
223
228 back() const;
229
234 template <typename ForwardIterator>
235 void
236 insert_back(ForwardIterator begin, ForwardIterator end);
237
247 void
249
258 void
259 fill(const T &element);
260
348 void
350 const unsigned int root_process);
351
355 void
357
361 bool
362 empty() const;
363
368 size() const;
369
375 capacity() const;
376
381 operator[](const size_type index);
382
387 operator[](const size_type index) const;
388
392 pointer
394
399 data() const;
400
406
412
417 begin() const;
418
423 end() const;
424
432
438 template <class Archive>
439 void
440 save(Archive &ar, const unsigned int version) const;
441
447 template <class Archive>
448 void
449 load(Archive &ar, const unsigned int version);
450
451#ifdef DOXYGEN
457 template <class Archive>
458 void
459 serialize(Archive &archive, const unsigned int version);
460#else
461 // This macro defines the serialize() method that is compatible with
462 // the templated save() and load() method that have been implemented.
463 BOOST_SERIALIZATION_SPLIT_MEMBER()
464#endif
465
466private:
559 {
560 public:
566 Deleter(AlignedVector<T> *owning_object);
567
568#ifdef DEAL_II_WITH_MPI
576 Deleter(AlignedVector<T> *owning_object,
577 const bool is_shmem_root,
578 T * aligned_shmem_pointer,
579 MPI_Comm shmem_group_communicator,
580 MPI_Win shmem_window);
581#endif
582
588 void
589 operator()(T *ptr);
590
598 void
599 reset_owning_object(const AlignedVector<T> *new_aligned_vector_ptr);
600
601 private:
606 {
607 public:
611 virtual ~DeleterActionBase() = default;
612
618 virtual void
620 };
621
622#ifdef DEAL_II_WITH_MPI
623
629 {
630 public:
638 MPI_Win shmem_window);
639
645 virtual void
646 delete_array(const AlignedVector<T> *aligned_vector, T *ptr);
647
648 private:
653 const bool is_shmem_root;
657 };
658#endif
659
664 std::unique_ptr<DeleterActionBase> deleter_action_object;
665
671 };
672
676 std::unique_ptr<T[], Deleter> elements;
677
682
687};
688
689
690// ------------------------------- inline functions --------------------------
691
697namespace internal
698{
717 template <typename T>
720 {
721 static const std::size_t minimum_parallel_grain_size =
722 160000 / sizeof(T) + 1;
723
724 public:
734 AlignedVectorCopyConstruct(const T *const source_begin,
735 const T *const source_end,
736 T *const destination)
737 : source_(source_begin)
738 , destination_(destination)
739 {
740 Assert(source_end >= source_begin, ExcInternalError());
741 Assert(source_end == source_begin || destination != nullptr,
743 const std::size_t size = source_end - source_begin;
746 else
748 }
749
754 virtual void
755 apply_to_subrange(const std::size_t begin,
756 const std::size_t end) const override
757 {
758 if (end == begin)
759 return;
760
761 // for classes trivial assignment can use memcpy. cast element to
762 // (void*) to silence compiler warning for virtual classes (they will
763 // never arrive here because they are non-trivial).
764
765 if (std::is_trivial<T>::value == true)
766 std::memcpy(static_cast<void *>(destination_ + begin),
767 static_cast<const void *>(source_ + begin),
768 (end - begin) * sizeof(T));
769 else
770 for (std::size_t i = begin; i < end; ++i)
771 new (&destination_[i]) T(source_[i]);
772 }
773
774 private:
775 const T *const source_;
776 T *const destination_;
777 };
778
779
786 template <typename T>
789 {
790 static const std::size_t minimum_parallel_grain_size =
791 160000 / sizeof(T) + 1;
792
793 public:
803 AlignedVectorMoveConstruct(T *const source_begin,
804 T *const source_end,
805 T *const destination)
806 : source_(source_begin)
807 , destination_(destination)
808 {
809 Assert(source_end >= source_begin, ExcInternalError());
810 Assert(source_end == source_begin || destination != nullptr,
812 const std::size_t size = source_end - source_begin;
815 else
817 }
818
823 virtual void
824 apply_to_subrange(const std::size_t begin,
825 const std::size_t end) const override
826 {
827 if (end == begin)
828 return;
829
830 // Classes with trivial assignment can use memcpy. cast element to
831 // (void*) to silence compiler warning for virtual classes (they will
832 // never arrive here because they are non-trivial).
833 if (std::is_trivial<T>::value == true)
834 std::memcpy(static_cast<void *>(destination_ + begin),
835 static_cast<void *>(source_ + begin),
836 (end - begin) * sizeof(T));
837 else
838 // For everything else just use the move constructor. The original
839 // object remains alive and will be destroyed elsewhere.
840 for (std::size_t i = begin; i < end; ++i)
841 new (&destination_[i]) T(std::move(source_[i]));
842 }
843
844 private:
845 T *const source_;
846 T *const destination_;
847 };
848
849
867 template <typename T, bool initialize_memory>
869 {
870 static const std::size_t minimum_parallel_grain_size =
871 160000 / sizeof(T) + 1;
872
873 public:
878 AlignedVectorInitialize(const std::size_t size,
879 const T & element,
880 T *const destination)
881 : element_(element)
882 , destination_(destination)
883 , trivial_element(false)
884 {
885 if (size == 0)
886 return;
887 Assert(destination != nullptr, ExcInternalError());
888
889 // do not use memcmp for long double because on some systems it does not
890 // completely fill its memory and may lead to false positives in
891 // e.g. valgrind
892 if (std::is_trivial<T>::value == true &&
893 std::is_same<T, long double>::value == false)
894 {
895 const unsigned char zero[sizeof(T)] = {};
896 // cast element to (void*) to silence compiler warning for virtual
897 // classes (they will never arrive here because they are
898 // non-trivial).
899 if (std::memcmp(zero,
900 static_cast<const void *>(&element),
901 sizeof(T)) == 0)
902 trivial_element = true;
903 }
906 else
908 }
909
913 virtual void
914 apply_to_subrange(const std::size_t begin,
915 const std::size_t end) const override
916 {
917 // for classes with trivial assignment of zero can use memset. cast
918 // element to (void*) to silence compiler warning for virtual
919 // classes (they will never arrive here because they are
920 // non-trivial).
921 if (std::is_trivial<T>::value == true && trivial_element)
922 std::memset(static_cast<void *>(destination_ + begin),
923 0,
924 (end - begin) * sizeof(T));
925 else
927 begin, end, std::integral_constant<bool, initialize_memory>());
928 }
929
930 private:
931 const T & element_;
932 mutable T *destination_;
934
935 // copy assignment operation
936 void
937 copy_construct_or_assign(const std::size_t begin,
938 const std::size_t end,
939 std::integral_constant<bool, false>) const
940 {
941 for (std::size_t i = begin; i < end; ++i)
943 }
944
945 // copy constructor (memory initialization)
946 void
947 copy_construct_or_assign(const std::size_t begin,
948 const std::size_t end,
949 std::integral_constant<bool, true>) const
950 {
951 for (std::size_t i = begin; i < end; ++i)
952 new (&destination_[i]) T(element_);
953 }
954 };
955
956
957
970 template <typename T, bool initialize_memory>
973 {
974 static const std::size_t minimum_parallel_grain_size =
975 160000 / sizeof(T) + 1;
976
977 public:
982 AlignedVectorDefaultInitialize(const std::size_t size, T *const destination)
983 : destination_(destination)
984 {
985 if (size == 0)
986 return;
987 Assert(destination != nullptr, ExcInternalError());
988
991 else
993 }
994
998 virtual void
999 apply_to_subrange(const std::size_t begin,
1000 const std::size_t end) const override
1001 {
1002 // for classes with trivial assignment of zero can use memset. cast
1003 // element to (void*) to silence compiler warning for virtual
1004 // classes (they will never arrive here because they are
1005 // non-trivial).
1006 if (std::is_trivial<T>::value == true)
1007 std::memset(static_cast<void *>(destination_ + begin),
1008 0,
1009 (end - begin) * sizeof(T));
1010 else
1012 begin, end, std::integral_constant<bool, initialize_memory>());
1013 }
1014
1015 private:
1016 mutable T *destination_;
1017
1018 // copy assignment operation
1019 void
1020 default_construct_or_assign(const std::size_t begin,
1021 const std::size_t end,
1022 std::integral_constant<bool, false>) const
1023 {
1024 for (std::size_t i = begin; i < end; ++i)
1025 destination_[i] = std::move(T());
1026 }
1027
1028 // copy constructor (memory initialization)
1029 void
1030 default_construct_or_assign(const std::size_t begin,
1031 const std::size_t end,
1032 std::integral_constant<bool, true>) const
1033 {
1034 for (std::size_t i = begin; i < end; ++i)
1035 new (&destination_[i]) T;
1036 }
1037 };
1038
1039} // end of namespace internal
1040
1041
1042#ifndef DOXYGEN
1043
1044
1045
1046template <typename T>
1048 : deleter_action_object(nullptr) // encode default action by using a nullptr
1049 , owning_aligned_vector(owning_object)
1050{}
1051
1052
1053# ifdef DEAL_II_WITH_MPI
1054
1055template <typename T>
1057 const bool is_shmem_root,
1058 T * aligned_shmem_pointer,
1059 MPI_Comm shmem_group_communicator,
1060 MPI_Win shmem_window)
1061 : deleter_action_object(
1062 std::make_unique<MPISharedMemDeleterAction>(is_shmem_root,
1063 aligned_shmem_pointer,
1064 shmem_group_communicator,
1065 shmem_window))
1066 , owning_aligned_vector(owning_object)
1067{}
1068# endif
1069
1070
1071template <typename T>
1072inline void
1074{
1075 // If no special action has been registered (i.e., if the action pointer is
1076 // nullptr), then just perform the default action right here.
1077 if (deleter_action_object == nullptr)
1078 {
1079 if (ptr != nullptr)
1080 {
1081 Assert(owning_aligned_vector->used_elements_end != nullptr,
1083
1084 if (std::is_trivial<T>::value == false)
1085 for (T *p = owning_aligned_vector->used_elements_end - 1; p >= ptr;
1086 --p)
1087 p->~T();
1088
1089 std::free(ptr);
1090 }
1091 }
1092 else
1093 // Otherwise, let the action object do what is necessary
1094 deleter_action_object->delete_array(owning_aligned_vector, ptr);
1095}
1096
1097
1098
1099template <typename T>
1100inline void
1102 const AlignedVector<T> *new_aligned_vector_ptr)
1103{
1104 owning_aligned_vector = new_aligned_vector_ptr;
1105}
1106
1107
1108# ifdef DEAL_II_WITH_MPI
1109
1110template <typename T>
1112 MPISharedMemDeleterAction(const bool is_shmem_root,
1113 T * aligned_shmem_pointer,
1114 MPI_Comm shmem_group_communicator,
1115 MPI_Win shmem_window)
1116 : is_shmem_root(is_shmem_root)
1117 , aligned_shmem_pointer(aligned_shmem_pointer)
1118 , shmem_group_communicator(shmem_group_communicator)
1119 , shmem_window(shmem_window)
1120{}
1121
1122
1123
1124template <typename T>
1125inline void
1127 const AlignedVector<T> *aligned_vector,
1128 T * ptr)
1129{
1130 (void)ptr;
1131 // It would be nice to assert that aligned_vector->elements.get() equals ptr,
1132 // but it is not guaranteed to work: clang, for example, sets elements.get()
1133 // to nullptr and then calls the deleter on a previously made copy. Hence we
1134 // must assume here that elements.get() (which is managed by the unique_ptr)
1135 // may be nullptr at this point.
1136 //
1137 // used_elements_end is a member variable of AlignedVector (i.e., we control
1138 // it, not unique_ptr) so it is still set to its correct value.
1139
1140 if (is_shmem_root)
1141 if (std::is_trivial<T>::value == false)
1142 for (T *p = aligned_vector->used_elements_end - 1; p >= ptr; --p)
1143 p->~T();
1144
1145 int ierr;
1146 ierr = MPI_Win_free(&shmem_window);
1147 AssertThrowMPI(ierr);
1148
1149 Utilities::MPI::free_communicator(shmem_group_communicator);
1150}
1151
1152# endif
1153
1154
1155template <class T>
1157 : elements(nullptr, Deleter(this))
1158 , used_elements_end(nullptr)
1159 , allocated_elements_end(nullptr)
1160{}
1161
1162
1163
1164template <class T>
1165inline AlignedVector<T>::AlignedVector(const size_type size, const T &init)
1166 : elements(nullptr, Deleter(this))
1167 , used_elements_end(nullptr)
1168 , allocated_elements_end(nullptr)
1169{
1170 if (size > 0)
1171 resize(size, init);
1172}
1173
1174
1175
1176template <class T>
1178 : elements(nullptr, Deleter(this))
1179 , used_elements_end(nullptr)
1180 , allocated_elements_end(nullptr)
1181{
1182 // copy the data from vec
1183 reserve(vec.size());
1184 used_elements_end = allocated_elements_end;
1187 elements.get());
1188}
1189
1190
1191
1192template <class T>
1195{
1196 // forward to the move operator
1197 *this = std::move(vec);
1198}
1199
1200
1201
1202template <class T>
1203inline AlignedVector<T> &
1205{
1206 const size_type new_size = vec.used_elements_end - vec.elements.get();
1207
1208 // First throw away everything and re-allocate memory but leave that
1209 // memory uninitialized for now:
1210 resize(0);
1211 reserve(new_size);
1212
1213 // Then copy the elements over by using the copy constructor on these
1214 // elements:
1217 elements.get());
1218
1219 // Finally adjust the pointer to the end of the elements that are used:
1220 used_elements_end = elements.get() + new_size;
1221
1222 return *this;
1223}
1224
1225
1226
1227template <class T>
1228inline AlignedVector<T> &
1230{
1231 clear();
1232
1233 // Move the actual data in the 'elements' object. One problem is that this
1234 // also moves the deleter object, but the deleter object
1235 // references 'this' (i.e., the 'this' pointer of the *moved-from*
1236 // object). The way this is implemented is that we have to move the
1237 // deleter as well, and then reset the pointer inside the deleter
1238 // that references the outer object.
1239 elements = std::move(vec.elements);
1240 elements.get_deleter().reset_owning_object(this);
1241
1242 // Then also steal the other pointers and clear them in the original object:
1243 used_elements_end = vec.used_elements_end;
1244 allocated_elements_end = vec.allocated_elements_end;
1245
1246 vec.used_elements_end = nullptr;
1247 vec.allocated_elements_end = nullptr;
1248
1249 return *this;
1250}
1251
1252
1253
1254template <class T>
1255inline void
1256AlignedVector<T>::resize_fast(const size_type new_size)
1257{
1258 const size_type old_size = size();
1259
1260 if (new_size == 0)
1261 clear();
1262 else if (new_size == old_size)
1263 {} // nothing to do here
1264 else if (new_size < old_size)
1265 {
1266 // call destructor on fields that are released, if the type requires it.
1267 // doing it backward releases the elements in reverse order as compared to
1268 // how they were created
1269 if (std::is_trivial<T>::value == false)
1270 for (T *p = used_elements_end - 1; p >= elements.get() + new_size; --p)
1271 p->~T();
1272 used_elements_end = elements.get() + new_size;
1273 }
1274 else // new_size > old_size
1275 {
1276 // Allocate more space, and claim that space as used
1277 reserve(new_size);
1278 used_elements_end = elements.get() + new_size;
1279
1280 // need to still set the values in case the class is non-trivial because
1281 // virtual classes etc. need to run their (default) constructor
1282 if (std::is_trivial<T>::value == false)
1284 new_size - old_size, elements.get() + old_size);
1285 }
1286}
1287
1288
1289
1290template <class T>
1291inline void
1292AlignedVector<T>::resize(const size_type new_size)
1293{
1294 const size_type old_size = size();
1295
1296 if (new_size == 0)
1297 clear();
1298 else if (new_size == old_size)
1299 {} // nothing to do here
1300 else if (new_size < old_size)
1301 {
1302 // call destructor on fields that are released, if the type requires it.
1303 // doing it backward releases the elements in reverse order as compared to
1304 // how they were created
1305 if (std::is_trivial<T>::value == false)
1306 for (T *p = used_elements_end - 1; p >= elements.get() + new_size; --p)
1307 p->~T();
1308 used_elements_end = elements.get() + new_size;
1309 }
1310 else // new_size > old_size
1311 {
1312 // Allocate more space, and claim that space as used
1313 reserve(new_size);
1314 used_elements_end = elements.get() + new_size;
1315
1316 // finally set the values to the default initializer
1318 new_size - old_size, elements.get() + old_size);
1319 }
1320}
1321
1322
1323
1324template <class T>
1325inline void
1326AlignedVector<T>::resize(const size_type new_size, const T &init)
1327{
1328 const size_type old_size = size();
1329
1330 if (new_size == 0)
1331 clear();
1332 else if (new_size == old_size)
1333 {} // nothing to do here
1334 else if (new_size < old_size)
1335 {
1336 // call destructor on fields that are released, if the type requires it.
1337 // doing it backward releases the elements in reverse order as compared to
1338 // how they were created
1339 if (std::is_trivial<T>::value == false)
1340 for (T *p = used_elements_end - 1; p >= elements.get() + new_size; --p)
1341 p->~T();
1342 used_elements_end = elements.get() + new_size;
1343 }
1344 else // new_size > old_size
1345 {
1346 // Allocate more space, and claim that space as used
1347 reserve(new_size);
1348 used_elements_end = elements.get() + new_size;
1349
1350 // finally set the desired init values
1352 new_size - old_size, init, elements.get() + old_size);
1353 }
1354}
1355
1356
1357
1358template <class T>
1359inline void
1360AlignedVector<T>::reserve(const size_type new_allocated_size)
1361{
1362 const size_type old_size = used_elements_end - elements.get();
1363 const size_type old_allocated_size = allocated_elements_end - elements.get();
1364 if (new_allocated_size > old_allocated_size)
1365 {
1366 // if we continuously increase the size of the vector, we might be
1367 // reallocating a lot of times. therefore, try to increase the size more
1368 // aggressively
1369 const size_type new_size =
1370 std::max(new_allocated_size, 2 * old_allocated_size);
1371
1372 // allocate and align along 64-byte boundaries (this is enough for all
1373 // levels of vectorization currently supported by deal.II)
1374 T *new_data_ptr;
1376 reinterpret_cast<void **>(&new_data_ptr), 64, new_size * sizeof(T));
1377
1378 // Now create a deleter that encodes what should happen when the object is
1379 // released: We need to destroy the objects that are currently alive (in
1380 // reverse order, and then release the memory. Note that we catch the
1381 // 'this' pointer because the number of elements currently alive might
1382 // change over time.
1383 Deleter deleter(this);
1384
1385 // copy whatever elements we need to retain
1386 if (new_allocated_size > 0)
1388 elements.get(), elements.get() + old_size, new_data_ptr);
1389
1390 // Now reset all of the member variables of the current object
1391 // based on the allocation above. Assigning to a std::unique_ptr
1392 // object also releases the previously pointed to memory.
1393 //
1394 // Note that at the time of releasing the old memory, 'used_elements_end'
1395 // still points to its previous value, and this is important for the
1396 // deleter object of the previously allocated array (see how it loops over
1397 // the to-be-destroyed elements a the Deleter::DefaultDeleterAction
1398 // class).
1399 elements = decltype(elements)(new_data_ptr, std::move(deleter));
1400 used_elements_end = elements.get() + old_size;
1401 allocated_elements_end = elements.get() + new_size;
1402 }
1403 else if (new_allocated_size == 0)
1404 clear();
1405 else // size_alloc < allocated_size
1406 {} // nothing to do here
1407}
1408
1409
1410
1411template <class T>
1412inline void
1414{
1415 // Just release the memory (which also calls the destructor of the elements),
1416 // and then set the auxiliary pointers to invalid values.
1417 //
1418 // Note that at the time of releasing the old memory, 'used_elements_end'
1419 // still points to its previous value, and this is important for the
1420 // deleter object of the previously allocated array (see how it loops over
1421 // the to-be-destroyed elements a few lines above).
1422 elements.reset();
1423 used_elements_end = nullptr;
1424 allocated_elements_end = nullptr;
1425}
1426
1427
1428
1429template <class T>
1430inline void
1431AlignedVector<T>::push_back(const T in_data)
1432{
1433 Assert(used_elements_end <= allocated_elements_end, ExcInternalError());
1434 if (used_elements_end == allocated_elements_end)
1435 reserve(std::max(2 * capacity(), static_cast<size_type>(16)));
1436 if (std::is_trivial<T>::value == false)
1437 new (used_elements_end++) T(in_data);
1438 else
1439 *used_elements_end++ = in_data;
1440}
1441
1442
1443
1444template <class T>
1445inline typename AlignedVector<T>::reference
1447{
1448 AssertIndexRange(0, size());
1449 T *field = used_elements_end - 1;
1450 return *field;
1451}
1452
1453
1454
1455template <class T>
1458{
1459 AssertIndexRange(0, size());
1460 const T *field = used_elements_end - 1;
1461 return *field;
1462}
1463
1464
1465
1466template <class T>
1467template <typename ForwardIterator>
1468inline void
1469AlignedVector<T>::insert_back(ForwardIterator begin, ForwardIterator end)
1470{
1471 const size_type old_size = size();
1472 reserve(old_size + (end - begin));
1473 for (; begin != end; ++begin, ++used_elements_end)
1474 {
1475 if (std::is_trivial<T>::value == false)
1476 new (used_elements_end) T;
1477 *used_elements_end = *begin;
1478 }
1479}
1480
1481
1482
1483template <class T>
1484inline void
1486{
1488 elements.get());
1489}
1490
1491
1492
1493template <class T>
1494inline void
1496{
1498 value,
1499 elements.get());
1500}
1501
1502
1503
1504template <class T>
1505inline void
1507 const unsigned int root_process)
1508{
1509# ifdef DEAL_II_WITH_MPI
1510
1511 // Let the root process broadcast its size. If it is zero, then all
1512 // processes just clear() their memory and reset themselves to a non-shared
1513 // empty object -- there is no point to run through complicated MPI
1514 // calls if the end result is an empty array. Otherwise, we continue on.
1515 const size_type new_size =
1516 Utilities::MPI::broadcast(communicator, size(), root_process);
1517 if (new_size == 0)
1518 {
1519 clear();
1520 return;
1521 }
1522
1523
1524 // **** Step 0 ****
1525 // All but the root process no longer need their data, so release the memory
1526 // used to store the previous elements.
1527 if (Utilities::MPI::this_mpi_process(communicator) != root_process)
1528 {
1529 elements.reset();
1530 used_elements_end = nullptr;
1531 allocated_elements_end = nullptr;
1532 }
1533
1534 // **** Step 1 ****
1535 // Create communicators for each group of processes that can use
1536 // shared memory areas. Within each of these groups, we don't care about
1537 // which rank each of the old processes gets except that we would like to
1538 // make sure that the (global) root process will have rank=0 within
1539 // its own sub-communicator. We can do that through the third argument of
1540 // MPI_Comm_split_type (the "key") which is an integer meant to indicate the
1541 // order of processes within the split communicators, and we should set it to
1542 // zero for the root processes and one for all others -- which means that
1543 // for all of these other processes, MPI can choose whatever order it
1544 // wants because they have the same key (MPI then documents that these ties
1545 // will be broken according to these processes' rank in the old group).
1546 //
1547 // At least that's the theory. In practice, the MPI implementation where
1548 // this function was developed on does not seem to do that. (Bug report
1549 // is here: https://github.com/open-mpi/ompi/issues/8854)
1550 // We work around this by letting MPI_Comm_split_type choose whatever
1551 // rank it wants, and then reshuffle with MPI_Comm_split in a second
1552 // step -- not elegant, nor efficient, but seems to work:
1553 MPI_Comm shmem_group_communicator;
1554 {
1555 MPI_Comm shmem_group_communicator_temp;
1556 int ierr = MPI_Comm_split_type(communicator,
1557 MPI_COMM_TYPE_SHARED,
1558 /* key */ 0,
1559 MPI_INFO_NULL,
1560 &shmem_group_communicator_temp);
1561 AssertThrowMPI(ierr);
1562
1563 const int key =
1564 (Utilities::MPI::this_mpi_process(communicator) == root_process ? 0 : 1);
1565 ierr = MPI_Comm_split(shmem_group_communicator_temp,
1566 /* color */ 0,
1567 key,
1568 &shmem_group_communicator);
1569 AssertThrowMPI(ierr);
1570
1571 // Verify the explanation from above
1572 if (Utilities::MPI::this_mpi_process(communicator) == root_process)
1573 Assert(Utilities::MPI::this_mpi_process(shmem_group_communicator) == 0,
1575
1576 // And get rid of the temporary communicator
1577 Utilities::MPI::free_communicator(shmem_group_communicator_temp);
1578 }
1579 const bool is_shmem_root =
1580 Utilities::MPI::this_mpi_process(shmem_group_communicator) == 0;
1581
1582 // **** Step 2 ****
1583 // We then have to send the state of the current object from the
1584 // root process to one exemplar in each shmem group. To this end,
1585 // we create another subcommunicator that includes the ranks zero
1586 // of all shmem groups, and because of the trick above, we know
1587 // that this also includes the original root process.
1588 //
1589 // There are different ways of creating a "shmem_roots_communicator".
1590 // The conceptually easiest way is to create an MPI_Group that only
1591 // includes the shmem roots and then create a communicator from this
1592 // via MPI_Comm_create or MPI_Comm_create_group. The problem
1593 // with this is that we would have to exchange among all processes
1594 // which ones are shmem roots and which are not. This is awkward.
1595 //
1596 // A simpler way is to use MPI_Comm_split that uses "colors" to
1597 // indicate which sub-communicator each process wants to be in.
1598 // We use color=0 to indicate the group of shmem roots, and color=1
1599 // for all other processes -- the latter will simply not ever do
1600 // anything among themselves with the communicator so created.
1601 //
1602 // Using MPI_Comm_split has the additional benefit that, just as above,
1603 // we can choose where each rank will end up in shmem_roots_communicator.
1604 // We again set key=0 for the original root_process, and key=1 for all other
1605 // ranks; then, the global root becomes rank=0 on the
1606 // shmem_roots_communicator. We don't care how the other processes are
1607 // ordered.
1608 MPI_Comm shmem_roots_communicator;
1609 {
1610 const int key =
1611 (Utilities::MPI::this_mpi_process(communicator) == root_process ? 0 : 1);
1612
1613 const int ierr = MPI_Comm_split(communicator,
1614 /*color=*/
1615 (is_shmem_root ? 0 : 1),
1616 key,
1617 &shmem_roots_communicator);
1618 AssertThrowMPI(ierr);
1619
1620 // Again verify the explanation from above
1621 if (Utilities::MPI::this_mpi_process(communicator) == root_process)
1622 Assert(Utilities::MPI::this_mpi_process(shmem_roots_communicator) == 0,
1624 }
1625
1626 const unsigned int shmem_roots_root_rank = 0;
1627 const bool is_shmem_roots_root =
1628 (is_shmem_root && (Utilities::MPI::this_mpi_process(
1629 shmem_roots_communicator) == shmem_roots_root_rank));
1630
1631 // Now let the original root_process broadcast the current object to all
1632 // shmem roots. We know that the last rank is the original root process that
1633 // has all of the data.
1634 if (is_shmem_root)
1635 {
1636 if (std::is_trivial<T>::value)
1637 {
1638 // The data is "trivial", i.e., we can copy things directly without
1639 // having to go through the serialization/deserialization machinery of
1640 // Utilities::MPI::broadcast.
1641 //
1642 // In that case, first tell all of the other shmem roots how many
1643 // elements we will have to deal with, and let them resize their
1644 // (non-shared) arrays.
1645 const size_type new_size =
1646 Utilities::MPI::broadcast(shmem_roots_communicator,
1647 size(),
1648 shmem_roots_root_rank);
1649 if (is_shmem_roots_root == false)
1650 resize(new_size);
1651
1652 // Then directly copy from the root process into these buffers
1653 int ierr = MPI_Bcast(elements.get(),
1654 sizeof(T) * new_size,
1655 MPI_CHAR,
1656 shmem_roots_root_rank,
1657 shmem_roots_communicator);
1658 AssertThrowMPI(ierr);
1659 }
1660 else
1661 {
1662 // The objects to be sent around are not "trivial", and so we have
1663 // to go through the serialization/deserialization machinery. On all
1664 // but the sending process, overwrite the current state with the
1665 // vector just broadcast.
1666 //
1667 // On the root rank, this would lead to resetting the 'entries'
1668 // pointer, which would trigger the deleter which would lead to a
1669 // deadlock. So we just send the result of the broadcast() call to
1670 // nirvana on the root process and keep our current state.
1671 if (Utilities::MPI::this_mpi_process(shmem_roots_communicator) == 0)
1672 Utilities::MPI::broadcast(shmem_roots_communicator,
1673 *this,
1674 shmem_roots_root_rank);
1675 else
1676 *this = Utilities::MPI::broadcast(shmem_roots_communicator,
1677 *this,
1678 shmem_roots_root_rank);
1679 }
1680 }
1681
1682 // We no longer need the shmem roots communicator, so get rid of it
1683 Utilities::MPI::free_communicator(shmem_roots_communicator);
1684
1685
1686 // **** Step 3 ****
1687 // At this point, all shmem groups have one shmem root process that has
1688 // a copy of the data. This is the point where each shmem group should
1689 // establish a shmem area to put the data into. As mentioned above,
1690 // we know that the shmem roots are the last rank in their respective
1691 // shmem_group_communicator.
1692 //
1693 // The process for all of this works as follows: While all processes in
1694 // the shmem group participate in the generation of the shmem memory window,
1695 // only the shmem root actually allocates any memory -- the rest just
1696 // allocate zero bytes of their own. We allocate space for exactly
1697 // size() elements (computed on the shmem_root that already has the data)
1698 // and add however many bytes are necessary so that we know that we can align
1699 // things to 64-byte boundaries. The worst case happens if the memory system
1700 // gives us a pointer to an address one byte past a desired alignment
1701 // boundary, and in that case aligning the memory will require us to waste the
1702 // first (align_by-1) bytes. So we have to ask for
1703 // size() * sizeof(T) + (align_by - 1)
1704 // bytes.
1705 //
1706 // Before MPI 4.0, there was no way to specify that we want memory aligned to
1707 // a certain number of bytes. This is going to come back to bite us further
1708 // down below when we try to get a properly aligned pointer to our memory
1709 // region, see the commentary there. Starting with MPI 4.0, one can set a
1710 // flag in an MPI_Info structure that requests a desired alignment, so we do
1711 // this for forward compatibility; MPI implementations ignore flags they don't
1712 // know anything about, and so setting this flag is backward compatible also
1713 // to older MPI versions.
1714 MPI_Win shmem_window;
1715 void * base_ptr;
1716 const MPI_Aint align_by = 64;
1717 const MPI_Aint alloc_size =
1718 Utilities::MPI::broadcast(shmem_group_communicator,
1719 (size() * sizeof(T) + (align_by - 1)),
1720 0);
1721
1722 {
1723 int ierr;
1724
1725 MPI_Info mpi_info;
1726 ierr = MPI_Info_create(&mpi_info);
1727 AssertThrowMPI(ierr);
1728 ierr = MPI_Info_set(mpi_info,
1729 "mpi_minimum_memory_alignment",
1730 std::to_string(align_by).c_str());
1731 AssertThrowMPI(ierr);
1732 ierr = MPI_Win_allocate_shared((is_shmem_root ? alloc_size : 0),
1733 /* disp_unit = */ 1,
1734 mpi_info,
1735 shmem_group_communicator,
1736 &base_ptr,
1737 &shmem_window);
1738 AssertThrowMPI(ierr);
1739
1740 ierr = MPI_Info_free(&mpi_info);
1741 AssertThrowMPI(ierr);
1742 }
1743
1744
1745 // **** Step 4 ****
1746 // The next step is to teach all non-shmem root processes what the pointer to
1747 // the array is that the shmem-root created. MPI has a nifty way for this
1748 // given that only a single process actually allocated memory in the window:
1749 // When calling MPI_Win_shared_query, the MPI documentation says that
1750 // "When rank is MPI_PROC_NULL, the pointer, disp_unit, and size returned are
1751 // the pointer, disp_unit, and size of the memory segment belonging the lowest
1752 // rank that specified size > 0. If all processes in the group attached to the
1753 // window specified size = 0, then the call returns size = 0 and a baseptr as
1754 // if MPI_ALLOC_MEM was called with size = 0."
1755 //
1756 // This will allow us to obtain the pointer to the shmem root's memory area,
1757 // which is the only one we care about. (None of the other processes have
1758 // even allocated any memory.)
1759 //
1760 // We don't need to do this on the shmem root process: This process has
1761 // already gotten its base_ptr correctly set above, and we can determine the
1762 // array size by just calling size().
1763 if (is_shmem_root == false)
1764 {
1765 int disp_unit;
1766 MPI_Aint alloc_size; // not actually used
1767 const int ierr = MPI_Win_shared_query(
1768 shmem_window, MPI_PROC_NULL, &alloc_size, &disp_unit, &base_ptr);
1769 AssertThrowMPI(ierr);
1770
1771 // Make sure we actually got a pointer, and check that the disp_unit is
1772 // equal to 1 (as set above)
1773 Assert(base_ptr != nullptr, ExcInternalError());
1774 Assert(disp_unit == 1, ExcInternalError());
1775 }
1776
1777
1778 // **** Step 5 ****
1779 // Now that all processes know the address of the space that is visible to
1780 // everyone, we need to figure out whether it is properly aligned and if not,
1781 // find the next aligned address.
1782 //
1783 // std::align does that, but it also modifies its last two arguments. The
1784 // documentation of that function at
1785 // https://en.cppreference.com/w/cpp/memory/align is not entirely clear, but I
1786 // *think* that the following should do given that we do not use base_ptr and
1787 // available_space any further after the call to std::align.
1788 std::size_t available_space = alloc_size;
1789 void * base_ptr_backup = base_ptr;
1790 T * aligned_shmem_pointer = static_cast<T *>(
1791 std::align(align_by, new_size * sizeof(T), base_ptr, available_space));
1792 Assert(aligned_shmem_pointer != nullptr, ExcInternalError());
1793
1794 // There is one step to guard against. It is *conceivable* that the base_ptr
1795 // we have previously obtained from MPI_Win_shared_query is mapped so
1796 // awkwardly into the different MPI processes' memory spaces that it is
1797 // aligned in one memory space, but not another. In that case, different
1798 // processes would align base_ptr differently, and adjust available_space
1799 // differently. We can check that by making sure that the max (or min) over
1800 // all processes is equal to every process's value. If that's not the case,
1801 // then the whole idea of aligning above is wrong and we need to rethink what
1802 // it means to align data in a shared memory space.
1803 //
1804 // One might be tempted to think that this is not how MPI implementations
1805 // actually arrange things. Alas, when developing this functionality in 2021,
1806 // this is really how at least OpenMPI ends up doing things. (This is with an
1807 // OpenMPI implementation of MPI 3.1, so it does not support the flag we set
1808 // in the MPI_Info structure above when allocating the memory window.) Indeed,
1809 // when running this code on three processes, one ends up with base_ptr values
1810 // of
1811 // base_ptr=0x7f0842f02108
1812 // base_ptr=0x7fc0a47881d0
1813 // base_ptr=0x7f64872db108
1814 // which, most annoyingly, are aligned to 8 and 16 byte boundaries -- so there
1815 // is no common offset std::align could find that leads to a 64-byte
1816 // aligned memory address in all three memory spaces. That's a tremendous
1817 // nuisance and there is really nothing we can do about this other than just
1818 // fall back on the (unaligned) base_ptr in that case.
1819 if (Utilities::MPI::min(available_space, shmem_group_communicator) !=
1820 Utilities::MPI::max(available_space, shmem_group_communicator))
1821 aligned_shmem_pointer = static_cast<T *>(base_ptr_backup);
1822
1823
1824 // **** Step 6 ****
1825 // If this is the shmem root process, we need to copy the data into the
1826 // shared memory space.
1827 if (is_shmem_root)
1828 {
1829 if (std::is_trivial<T>::value == true)
1830 std::memcpy(aligned_shmem_pointer, elements.get(), sizeof(T) * size());
1831 else
1832 for (std::size_t i = 0; i < size(); ++i)
1833 new (&aligned_shmem_pointer[i]) T(std::move(elements[i]));
1834 }
1835
1836 // Make sure that the shared memory host has copied the data before we try to
1837 // access it.
1838 const int ierr = MPI_Barrier(shmem_group_communicator);
1839 AssertThrowMPI(ierr);
1840
1841 // **** Step 7 ****
1842 // Finally, we need to set the pointers of this object to what we just
1843 // learned. This also releases all memory that may have been in use
1844 // previously.
1845 //
1846 // The part that is a bit tricky is how to write the deleter of this
1847 // shared memory object. When we want to get rid of it, we need to
1848 // also release the MPI_Win object along with the shmem_group_communicator
1849 // object. That's because as long as we use the shared memory, we still need
1850 // to hold on to the MPI_Win object, and the MPI_Win object is based on the
1851 // communicator. (The former is definitely true, the latter is not quite clear
1852 // from the MPI documentation, but seems reasonable.) So we need to have a
1853 // deleter for the pointer that ensures that upon release of the memory, we
1854 // not only call the destructor of these memory elements (but only once, on
1855 // the shmem root!) but also destroy the MPI_Win and the communicator. All of
1856 // that is encapsulated in the following call where the deleter makes copies
1857 // of the arguments in the lambda capture.
1858 elements = decltype(elements)(aligned_shmem_pointer,
1859 Deleter(this,
1860 is_shmem_root,
1861 aligned_shmem_pointer,
1862 shmem_group_communicator,
1863 shmem_window));
1864
1865 // We then also have to set the other two pointers that define the state of
1866 // the current object. Note that the new buffer size is exactly as large as
1867 // necessary, i.e., can store size() elements, regardless of the number of
1868 // allocated elements in the original objects.
1869 used_elements_end = elements.get() + new_size;
1870 allocated_elements_end = used_elements_end;
1871
1872 // **** Consistency check ****
1873 // At this point, each process should have a copy of the data.
1874 // Verify this in some sort of round-about way
1875# ifdef DEBUG
1876 const std::vector<char> packed_data = Utilities::pack(*this);
1877 const int hash =
1878 std::accumulate(packed_data.begin(), packed_data.end(), int(0));
1879 Assert(Utilities::MPI::max(hash, communicator) == hash, ExcInternalError());
1880# endif
1881
1882# else
1883 // No MPI -> nothing to replicate
1884 (void)communicator;
1885 (void)root_process;
1886# endif
1887}
1888
1889
1890
1891template <class T>
1892inline void
1894{
1895 // Swap the data in the 'elements' objects. Then also make sure that
1896 // their respective deleter objects point to the right place.
1897 std::swap(elements, vec.elements);
1898 elements.get_deleter().reset_owning_object(this);
1899 vec.elements.get_deleter().reset_owning_object(&vec);
1900
1901 // Now also swap the remaining members.
1902 std::swap(used_elements_end, vec.used_elements_end);
1903 std::swap(allocated_elements_end, vec.allocated_elements_end);
1904}
1905
1906
1907
1908template <class T>
1909inline bool
1911{
1912 return used_elements_end == elements.get();
1913}
1914
1915
1916
1917template <class T>
1918inline typename AlignedVector<T>::size_type
1920{
1921 return used_elements_end - elements.get();
1922}
1923
1924
1925
1926template <class T>
1927inline typename AlignedVector<T>::size_type
1929{
1930 return allocated_elements_end - elements.get();
1931}
1932
1933
1934
1935template <class T>
1936inline typename AlignedVector<T>::reference
1937AlignedVector<T>::operator[](const size_type index)
1938{
1939 AssertIndexRange(index, size());
1940 return elements[index];
1941}
1942
1943
1944
1945template <class T>
1947AlignedVector<T>::operator[](const size_type index) const
1948{
1949 AssertIndexRange(index, size());
1950 return elements[index];
1951}
1952
1953
1954
1955template <typename T>
1956inline typename AlignedVector<T>::pointer
1958{
1959 return elements.get();
1960}
1961
1962
1963
1964template <typename T>
1965inline typename AlignedVector<T>::const_pointer
1967{
1968 return elements.get();
1969}
1970
1971
1972
1973template <class T>
1974inline typename AlignedVector<T>::iterator
1976{
1977 return elements.get();
1978}
1979
1980
1981
1982template <class T>
1983inline typename AlignedVector<T>::iterator
1985{
1986 return used_elements_end;
1987}
1988
1989
1990
1991template <class T>
1994{
1995 return elements.get();
1996}
1997
1998
1999
2000template <class T>
2003{
2004 return used_elements_end;
2005}
2006
2007
2008
2009template <class T>
2010template <class Archive>
2011inline void
2012AlignedVector<T>::save(Archive &ar, const unsigned int) const
2013{
2014 size_type vec_size = size();
2015 ar & vec_size;
2016 if (vec_size > 0)
2017 ar &boost::serialization::make_array(elements.get(), vec_size);
2018}
2019
2020
2021
2022template <class T>
2023template <class Archive>
2024inline void
2025AlignedVector<T>::load(Archive &ar, const unsigned int)
2026{
2027 size_type vec_size = 0;
2028 ar & vec_size;
2029
2030 if (vec_size > 0)
2031 {
2032 reserve(vec_size);
2033 ar &boost::serialization::make_array(elements.get(), vec_size);
2034 used_elements_end = elements.get() + vec_size;
2035 }
2036}
2037
2038
2039
2040template <class T>
2041inline typename AlignedVector<T>::size_type
2043{
2044 size_type memory = sizeof(*this);
2045 for (const T *t = elements.get(); t != used_elements_end; ++t)
2047 memory += sizeof(T) * (allocated_elements_end - used_elements_end);
2048 return memory;
2049}
2050
2051
2052#endif // ifndef DOXYGEN
2053
2054
2060template <class T>
2061bool
2063{
2064 if (lhs.size() != rhs.size())
2065 return false;
2066 for (typename AlignedVector<T>::const_iterator lit = lhs.begin(),
2067 rit = rhs.begin();
2068 lit != lhs.end();
2069 ++lit, ++rit)
2070 if (*lit != *rit)
2071 return false;
2072 return true;
2073}
2074
2075
2076
2082template <class T>
2083bool
2085{
2086 return !(operator==(lhs, rhs));
2087}
2088
2089
2091
2092#endif
bool operator==(const AlignedVector< T > &lhs, const AlignedVector< T > &rhs)
virtual void delete_array(const AlignedVector< T > *owning_aligned_vector, T *ptr)=0
virtual void delete_array(const AlignedVector< T > *aligned_vector, T *ptr)
MPISharedMemDeleterAction(const bool is_shmem_root, T *aligned_shmem_pointer, MPI_Comm shmem_group_communicator, MPI_Win shmem_window)
void operator()(T *ptr)
Deleter(AlignedVector< T > *owning_object, const bool is_shmem_root, T *aligned_shmem_pointer, MPI_Comm shmem_group_communicator, MPI_Win shmem_window)
Deleter(AlignedVector< T > *owning_object)
std::unique_ptr< DeleterActionBase > deleter_action_object
void reset_owning_object(const AlignedVector< T > *new_aligned_vector_ptr)
const AlignedVector< T > * owning_aligned_vector
iterator end()
size_type memory_consumption() const
void resize_fast(const size_type new_size)
std::unique_ptr< T[], Deleter > elements
reference operator[](const size_type index)
void fill(const T &element)
iterator begin()
const_iterator end() const
~AlignedVector()=default
AlignedVector(AlignedVector< T > &&vec) noexcept
void reserve(const size_type new_allocated_size)
void serialize(Archive &archive, const unsigned int version)
bool operator!=(const AlignedVector< T > &lhs, const AlignedVector< T > &rhs)
const_reference operator[](const size_type index) const
pointer data()
void swap(AlignedVector< T > &vec)
void resize(const size_type new_size, const T &init)
AlignedVector & operator=(AlignedVector< T > &&vec) noexcept
size_type capacity() const
value_type & reference
AlignedVector & operator=(const AlignedVector< T > &vec)
const value_type * const_pointer
void push_back(const T in_data)
const_iterator begin() const
AlignedVector(const size_type size, const T &init=T())
T * allocated_elements_end
bool empty() const
AlignedVector(const AlignedVector< T > &vec)
size_type size() const
const_reference back() const
std::size_t size_type
bool operator==(const AlignedVector< T > &lhs, const AlignedVector< T > &rhs)
const value_type * const_iterator
void replicate_across_communicator(const MPI_Comm &communicator, const unsigned int root_process)
void resize(const size_type new_size)
void load(Archive &ar, const unsigned int version)
void save(Archive &ar, const unsigned int version) const
void insert_back(ForwardIterator begin, ForwardIterator end)
const value_type & const_reference
reference back()
const_pointer data() const
value_type * pointer
value_type * iterator
virtual void apply_to_subrange(const std::size_t begin, const std::size_t end) const override
AlignedVectorCopyConstruct(const T *const source_begin, const T *const source_end, T *const destination)
static const std::size_t minimum_parallel_grain_size
void default_construct_or_assign(const std::size_t begin, const std::size_t end, std::integral_constant< bool, true >) const
void default_construct_or_assign(const std::size_t begin, const std::size_t end, std::integral_constant< bool, false >) const
AlignedVectorDefaultInitialize(const std::size_t size, T *const destination)
static const std::size_t minimum_parallel_grain_size
virtual void apply_to_subrange(const std::size_t begin, const std::size_t end) const override
void copy_construct_or_assign(const std::size_t begin, const std::size_t end, std::integral_constant< bool, true >) const
static const std::size_t minimum_parallel_grain_size
virtual void apply_to_subrange(const std::size_t begin, const std::size_t end) const override
void copy_construct_or_assign(const std::size_t begin, const std::size_t end, std::integral_constant< bool, false >) const
AlignedVectorInitialize(const std::size_t size, const T &element, T *const destination)
static const std::size_t minimum_parallel_grain_size
AlignedVectorMoveConstruct(T *const source_begin, T *const source_end, T *const destination)
virtual void apply_to_subrange(const std::size_t begin, const std::size_t end) const override
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:442
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:443
#define Assert(cond, exc)
Definition: exceptions.h:1473
#define AssertThrowMPI(error_code)
Definition: exceptions.h:1790
#define AssertIndexRange(index, range)
Definition: exceptions.h:1732
static ::ExceptionBase & ExcInternalError()
types::global_dof_index size_type
Definition: cuda_kernels.h:45
std::enable_if< std::is_fundamental< T >::value, std::size_t >::type memory_consumption(const T &t)
VectorType::value_type * end(VectorType &V)
VectorType::value_type * begin(VectorType &V)
void free_communicator(MPI_Comm &mpi_communicator)
Definition: mpi.cc:194
std::enable_if< is_mpi_type< T >==false, T >::type broadcast(const MPI_Comm &comm, const T &object_to_send, const unsigned int root_process=0)
unsigned int this_mpi_process(const MPI_Comm &mpi_communicator)
Definition: mpi.cc:151
T min(const T &t, const MPI_Comm &mpi_communicator)
T max(const T &t, const MPI_Comm &mpi_communicator)
void posix_memalign(void **memptr, std::size_t alignment, std::size_t size)
Definition: utilities.cc:1047
size_t pack(const T &object, std::vector< char > &dest_buffer, const bool allow_compression=true)
Definition: utilities.h:1483
STL namespace.
::VectorizedArray< Number, width > max(const ::VectorizedArray< Number, width > &, const ::VectorizedArray< Number, width > &)
void apply_parallel(const std::size_t begin, const std::size_t end, const std::size_t minimum_parallel_grain_size) const
Definition: parallel.h:662