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1 // -*- C++ -*-
2
3 // Copyright (C) 2005-2019 Free Software Foundation, Inc.
4 //
5 // This file is part of the GNU ISO C++ Library. This library is free
6 // software; you can redistribute it and/or modify it under the terms
7 // of the GNU General Public License as published by the Free Software
8 // Foundation; either version 3, or (at your option) any later
9 // version.
10
11 // This library is distributed in the hope that it will be useful, but
12 // WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // General Public License for more details.
15
16 // Under Section 7 of GPL version 3, you are granted additional
17 // permissions described in the GCC Runtime Library Exception, version
18 // 3.1, as published by the Free Software Foundation.
19
20 // You should have received a copy of the GNU General Public License and
21 // a copy of the GCC Runtime Library Exception along with this program;
22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
23 // <http://www.gnu.org/licenses/>.
24
25 // Copyright (C) 2004 Ami Tavory and Vladimir Dreizin, IBM-HRL.
26
27 // Permission to use, copy, modify, sell, and distribute this software
28 // is hereby granted without fee, provided that the above copyright
29 // notice appears in all copies, and that both that copyright notice
30 // and this permission notice appear in supporting documentation. None
31 // of the above authors, nor IBM Haifa Research Laboratories, make any
32 // representation about the suitability of this software for any
33 // purpose. It is provided "as is" without express or implied
34 // warranty.
35
36 /**
37 * @file cc_hash_table_map_/cc_ht_map_.hpp
38 * Contains an implementation class for cc_ht_map_.
39 */
40
41 #include <utility>
42 #include <iterator>
43 #include <ext/pb_ds/detail/cond_dealtor.hpp>
44 #include <ext/pb_ds/tag_and_trait.hpp>
45 #include <ext/pb_ds/detail/hash_fn/ranged_hash_fn.hpp>
46 #include <ext/pb_ds/detail/types_traits.hpp>
47 #include <ext/pb_ds/exception.hpp>
48 #include <ext/pb_ds/detail/eq_fn/hash_eq_fn.hpp>
49 #ifdef _GLIBCXX_DEBUG
50 #include <ext/pb_ds/detail/debug_map_base.hpp>
51 #endif
52 #ifdef PB_DS_HT_MAP_TRACE_
53 #include <iostream>
54 #endif
55 #include <debug/debug.h>
56
57 namespace __gnu_pbds
58 {
59 namespace detail
60 {
61 #ifdef PB_DS_DATA_TRUE_INDICATOR
62 #define PB_DS_CC_HASH_NAME cc_ht_map
63 #endif
64
65 #ifdef PB_DS_DATA_FALSE_INDICATOR
66 #define PB_DS_CC_HASH_NAME cc_ht_set
67 #endif
68
69 #define PB_DS_CLASS_T_DEC \
70 template<typename Key, typename Mapped, typename Hash_Fn, \
71 typename Eq_Fn, typename _Alloc, bool Store_Hash, \
72 typename Comb_Hash_Fn, typename Resize_Policy>
73
74 #define PB_DS_CLASS_C_DEC \
75 PB_DS_CC_HASH_NAME<Key, Mapped, Hash_Fn, Eq_Fn, _Alloc, \
76 Store_Hash, Comb_Hash_Fn, Resize_Policy>
77
78 #define PB_DS_HASH_EQ_FN_C_DEC \
79 hash_eq_fn<Key, Eq_Fn, _Alloc, Store_Hash>
80
81 #define PB_DS_RANGED_HASH_FN_C_DEC \
82 ranged_hash_fn<Key, Hash_Fn, _Alloc, Comb_Hash_Fn, Store_Hash>
83
84 #define PB_DS_CC_HASH_TRAITS_BASE \
85 types_traits<Key, Mapped, _Alloc, Store_Hash>
86
87 #ifdef _GLIBCXX_DEBUG
88 #define PB_DS_DEBUG_MAP_BASE_C_DEC \
89 debug_map_base<Key, Eq_Fn, \
90 typename _Alloc::template rebind<Key>::other::const_reference>
91 #endif
92
93
94 /**
95 * A collision-chaining hash-based container.
96 *
97 *
98 * @ingroup hash-detail
99 *
100 * @tparam Key Key type.
101 *
102 * @tparam Mapped Map type.
103 *
104 * @tparam Hash_Fn Hashing functor.
105 * Default is __gnu_cxx::hash.
106 *
107 * @tparam Eq_Fn Equal functor.
108 * Default std::equal_to<Key>
109 *
110 * @tparam _Alloc Allocator type.
111 *
112 * @tparam Store_Hash If key type stores extra metadata.
113 * Defaults to false.
114 *
115 * @tparam Comb_Hash_Fn Combining hash functor.
116 * If Hash_Fn is not null_type, then this
117 * is the ranged-hash functor; otherwise,
118 * this is the range-hashing functor.
119 * XXX(See Design::Hash-Based Containers::Hash Policies.)
120 * Default direct_mask_range_hashing.
121 *
122 * @tparam Resize_Policy Resizes hash.
123 * Defaults to hash_standard_resize_policy,
124 * using hash_exponential_size_policy and
125 * hash_load_check_resize_trigger.
126 *
127 *
128 * Bases are: detail::hash_eq_fn, Resize_Policy, detail::ranged_hash_fn,
129 * detail::types_traits. (Optional: detail::debug_map_base.)
130 */
131 template<typename Key,
132 typename Mapped,
133 typename Hash_Fn,
134 typename Eq_Fn,
135 typename _Alloc,
136 bool Store_Hash,
137 typename Comb_Hash_Fn,
138 typename Resize_Policy >
139 class PB_DS_CC_HASH_NAME:
140 #ifdef _GLIBCXX_DEBUG
141 protected PB_DS_DEBUG_MAP_BASE_C_DEC,
142 #endif
143 public PB_DS_HASH_EQ_FN_C_DEC,
144 public Resize_Policy,
145 public PB_DS_RANGED_HASH_FN_C_DEC,
146 public PB_DS_CC_HASH_TRAITS_BASE
147 {
148 private:
149 typedef PB_DS_CC_HASH_TRAITS_BASE traits_base;
150 typedef typename traits_base::comp_hash comp_hash;
151 typedef typename traits_base::value_type value_type_;
152 typedef typename traits_base::pointer pointer_;
153 typedef typename traits_base::const_pointer const_pointer_;
154 typedef typename traits_base::reference reference_;
155 typedef typename traits_base::const_reference const_reference_;
156
157 struct entry : public traits_base::stored_data_type
158 {
159 typename _Alloc::template rebind<entry>::other::pointer m_p_next;
160 };
161
162 typedef cond_dealtor<entry, _Alloc> cond_dealtor_t;
163
164 typedef typename _Alloc::template rebind<entry>::other entry_allocator;
165 typedef typename entry_allocator::pointer entry_pointer;
166 typedef typename entry_allocator::const_pointer const_entry_pointer;
167 typedef typename entry_allocator::reference entry_reference;
168 typedef typename entry_allocator::const_reference const_entry_reference;
169
170 typedef typename _Alloc::template rebind<entry_pointer>::other entry_pointer_allocator;
171 typedef typename entry_pointer_allocator::pointer entry_pointer_array;
172
173 typedef PB_DS_RANGED_HASH_FN_C_DEC ranged_hash_fn_base;
174 typedef PB_DS_HASH_EQ_FN_C_DEC hash_eq_fn_base;
175 typedef Resize_Policy resize_base;
176
177 #ifdef _GLIBCXX_DEBUG
178 typedef PB_DS_DEBUG_MAP_BASE_C_DEC debug_base;
179 #endif
180
181 #define PB_DS_GEN_POS std::pair<entry_pointer, typename _Alloc::size_type>
182
183 #include <ext/pb_ds/detail/unordered_iterator/point_const_iterator.hpp>
184 #include <ext/pb_ds/detail/unordered_iterator/point_iterator.hpp>
185 #include <ext/pb_ds/detail/unordered_iterator/const_iterator.hpp>
186 #include <ext/pb_ds/detail/unordered_iterator/iterator.hpp>
187
188 #undef PB_DS_GEN_POS
189
190 public:
191 typedef _Alloc allocator_type;
192 typedef typename _Alloc::size_type size_type;
193 typedef typename _Alloc::difference_type difference_type;
194 typedef Hash_Fn hash_fn;
195 typedef Eq_Fn eq_fn;
196 typedef Comb_Hash_Fn comb_hash_fn;
197 typedef Resize_Policy resize_policy;
198
199 /// Value stores hash, true or false.
200 enum
201 {
202 store_hash = Store_Hash
203 };
204
205 typedef typename traits_base::key_type key_type;
206 typedef typename traits_base::key_pointer key_pointer;
207 typedef typename traits_base::key_const_pointer key_const_pointer;
208 typedef typename traits_base::key_reference key_reference;
209 typedef typename traits_base::key_const_reference key_const_reference;
210 typedef typename traits_base::mapped_type mapped_type;
211 typedef typename traits_base::mapped_pointer mapped_pointer;
212 typedef typename traits_base::mapped_const_pointer mapped_const_pointer;
213 typedef typename traits_base::mapped_reference mapped_reference;
214 typedef typename traits_base::mapped_const_reference mapped_const_reference;
215 typedef typename traits_base::value_type value_type;
216 typedef typename traits_base::pointer pointer;
217 typedef typename traits_base::const_pointer const_pointer;
218 typedef typename traits_base::reference reference;
219 typedef typename traits_base::const_reference const_reference;
220
221 #ifdef PB_DS_DATA_TRUE_INDICATOR
222 typedef point_iterator_ point_iterator;
223 #endif
224
225 #ifdef PB_DS_DATA_FALSE_INDICATOR
226 typedef point_const_iterator_ point_iterator;
227 #endif
228
229 typedef point_const_iterator_ point_const_iterator;
230
231 #ifdef PB_DS_DATA_TRUE_INDICATOR
232 typedef iterator_ iterator;
233 #endif
234
235 #ifdef PB_DS_DATA_FALSE_INDICATOR
236 typedef const_iterator_ iterator;
237 #endif
238
239 typedef const_iterator_ const_iterator;
240
241 PB_DS_CC_HASH_NAME();
242
243 PB_DS_CC_HASH_NAME(const Hash_Fn&);
244
245 PB_DS_CC_HASH_NAME(const Hash_Fn&, const Eq_Fn&);
246
247 PB_DS_CC_HASH_NAME(const Hash_Fn&, const Eq_Fn&, const Comb_Hash_Fn&);
248
249 PB_DS_CC_HASH_NAME(const Hash_Fn&, const Eq_Fn&, const Comb_Hash_Fn&,
250 const Resize_Policy&);
251
252 PB_DS_CC_HASH_NAME(const PB_DS_CLASS_C_DEC&);
253
254 virtual
255 ~PB_DS_CC_HASH_NAME();
256
257 void
258 swap(PB_DS_CLASS_C_DEC&);
259
260 template<typename It>
261 void
262 copy_from_range(It, It);
263
264 void
265 initialize();
266
267 inline size_type
268 size() const;
269
270 inline size_type
271 max_size() const;
272
273 /// True if size() == 0.
274 inline bool
275 empty() const;
276
277 /// Return current hash_fn.
278 Hash_Fn&
279 get_hash_fn();
280
281 /// Return current const hash_fn.
282 const Hash_Fn&
283 get_hash_fn() const;
284
285 /// Return current eq_fn.
286 Eq_Fn&
287 get_eq_fn();
288
289 /// Return current const eq_fn.
290 const Eq_Fn&
291 get_eq_fn() const;
292
293 /// Return current comb_hash_fn.
294 Comb_Hash_Fn&
295 get_comb_hash_fn();
296
297 /// Return current const comb_hash_fn.
298 const Comb_Hash_Fn&
299 get_comb_hash_fn() const;
300
301 /// Return current resize_policy.
302 Resize_Policy&
303 get_resize_policy();
304
305 /// Return current const resize_policy.
306 const Resize_Policy&
307 get_resize_policy() const;
308
309 inline std::pair<point_iterator, bool>
310 insert(const_reference r_val)
311 { return insert_imp(r_val, traits_base::m_store_extra_indicator); }
312
313 inline mapped_reference
314 operator[](key_const_reference r_key)
315 {
316 #ifdef PB_DS_DATA_TRUE_INDICATOR
317 return (subscript_imp(r_key, traits_base::m_store_extra_indicator));
318 #else
319 insert(r_key);
320 return traits_base::s_null_type;
321 #endif
322 }
323
324 inline point_iterator
325 find(key_const_reference);
326
327 inline point_const_iterator
328 find(key_const_reference) const;
329
330 inline point_iterator
331 find_end();
332
333 inline point_const_iterator
334 find_end() const;
335
336 inline bool
337 erase(key_const_reference);
338
339 template<typename Pred>
340 inline size_type
341 erase_if(Pred);
342
343 void
344 clear();
345
346 inline iterator
347 begin();
348
349 inline const_iterator
350 begin() const;
351
352 inline iterator
353 end();
354
355 inline const_iterator
356 end() const;
357
358 #ifdef _GLIBCXX_DEBUG
359 void
360 assert_valid(const char*, int) const;
361 #endif
362
363 #ifdef PB_DS_HT_MAP_TRACE_
364 void
365 trace() const;
366 #endif
367
368 private:
369 void
370 deallocate_all();
371
372 inline bool
373 do_resize_if_needed();
374
375 inline void
376 do_resize_if_needed_no_throw();
377
378 void
379 resize_imp(size_type);
380
381 void
382 do_resize(size_type);
383
384 void
385 resize_imp_no_exceptions(size_type, entry_pointer_array, size_type);
386
387 inline entry_pointer
388 resize_imp_no_exceptions_reassign_pointer(entry_pointer,
389 entry_pointer_array,
390 false_type);
391
392 inline entry_pointer
393 resize_imp_no_exceptions_reassign_pointer(entry_pointer,
394 entry_pointer_array,
395 true_type);
396
397 void
398 deallocate_links_in_list(entry_pointer);
399
400 inline entry_pointer
401 get_entry(const_reference, false_type);
402
403 inline entry_pointer
404 get_entry(const_reference, true_type);
405
406 inline void
407 rels_entry(entry_pointer);
408
409 #ifdef PB_DS_DATA_TRUE_INDICATOR
410 inline mapped_reference
411 subscript_imp(key_const_reference r_key, false_type)
412 {
413 _GLIBCXX_DEBUG_ONLY(assert_valid(__FILE__, __LINE__);)
414 const size_type pos = ranged_hash_fn_base::operator()(r_key);
415 entry_pointer p_e = m_entries[pos];
416 resize_base::notify_insert_search_start();
417
418 while (p_e != 0
419 && !hash_eq_fn_base::operator()(p_e->m_value.first, r_key))
420 {
421 resize_base::notify_insert_search_collision();
422 p_e = p_e->m_p_next;
423 }
424
425 resize_base::notify_insert_search_end();
426 if (p_e != 0)
427 {
428 PB_DS_CHECK_KEY_EXISTS(r_key)
429 return (p_e->m_value.second);
430 }
431
432 PB_DS_CHECK_KEY_DOES_NOT_EXIST(r_key)
433 return insert_new_imp(value_type(r_key, mapped_type()), pos)->second;
434 }
435
436 inline mapped_reference
437 subscript_imp(key_const_reference r_key, true_type)
438 {
439 _GLIBCXX_DEBUG_ONLY(assert_valid(__FILE__, __LINE__);)
440 comp_hash pos_hash_pair = ranged_hash_fn_base::operator()(r_key);
441 entry_pointer p_e = m_entries[pos_hash_pair.first];
442 resize_base::notify_insert_search_start();
443 while (p_e != 0 &&
444 !hash_eq_fn_base::operator()(p_e->m_value.first, p_e->m_hash,
445 r_key, pos_hash_pair.second))
446 {
447 resize_base::notify_insert_search_collision();
448 p_e = p_e->m_p_next;
449 }
450
451 resize_base::notify_insert_search_end();
452 if (p_e != 0)
453 {
454 PB_DS_CHECK_KEY_EXISTS(r_key)
455 return p_e->m_value.second;
456 }
457
458 PB_DS_CHECK_KEY_DOES_NOT_EXIST(r_key)
459 return insert_new_imp(value_type(r_key, mapped_type()),
460 pos_hash_pair)->second;
461 }
462 #endif
463
464 inline std::pair<point_iterator, bool>
465 insert_imp(const_reference, false_type);
466
467 inline std::pair<point_iterator, bool>
468 insert_imp(const_reference, true_type);
469
470 inline pointer
471 insert_new_imp(const_reference r_val, size_type pos)
472 {
473 if (do_resize_if_needed())
474 pos = ranged_hash_fn_base::operator()(PB_DS_V2F(r_val));
475
476 // Following lines might throw an exception.
477 entry_pointer p_e = get_entry(r_val,
478 traits_base::m_no_throw_copies_indicator);
479
480 // At this point no exceptions can be thrown.
481 p_e->m_p_next = m_entries[pos];
482 m_entries[pos] = p_e;
483 resize_base::notify_inserted(++m_num_used_e);
484
485 _GLIBCXX_DEBUG_ONLY(debug_base::insert_new(PB_DS_V2F(r_val));)
486 _GLIBCXX_DEBUG_ONLY(assert_valid(__FILE__, __LINE__);)
487 return &p_e->m_value;
488 }
489
490 inline pointer
491 insert_new_imp(const_reference r_val, comp_hash& r_pos_hash_pair)
492 {
493 // Following lines might throw an exception.
494 if (do_resize_if_needed())
495 r_pos_hash_pair = ranged_hash_fn_base::operator()(PB_DS_V2F(r_val));
496
497 entry_pointer p_e = get_entry(r_val,
498 traits_base::m_no_throw_copies_indicator);
499
500 // At this point no exceptions can be thrown.
501 p_e->m_hash = r_pos_hash_pair.second;
502 p_e->m_p_next = m_entries[r_pos_hash_pair.first];
503 m_entries[r_pos_hash_pair.first] = p_e;
504 resize_base::notify_inserted(++m_num_used_e);
505 _GLIBCXX_DEBUG_ONLY(debug_base::insert_new(PB_DS_V2F(r_val));)
506 _GLIBCXX_DEBUG_ONLY(assert_valid(__FILE__, __LINE__);)
507 return &p_e->m_value;
508 }
509
510 inline pointer
511 find_key_pointer(key_const_reference r_key, false_type)
512 {
513 entry_pointer p_e = m_entries[ranged_hash_fn_base::operator()(r_key)];
514 resize_base::notify_find_search_start();
515 while (p_e != 0 &&
516 !hash_eq_fn_base::operator()(PB_DS_V2F(p_e->m_value), r_key))
517 {
518 resize_base::notify_find_search_collision();
519 p_e = p_e->m_p_next;
520 }
521
522 resize_base::notify_find_search_end();
523
524 #ifdef _GLIBCXX_DEBUG
525 if (p_e == 0)
526 PB_DS_CHECK_KEY_DOES_NOT_EXIST(r_key)
527 else
528 PB_DS_CHECK_KEY_EXISTS(r_key)
529 #endif
530 return &p_e->m_value;
531 }
532
533 inline pointer
534 find_key_pointer(key_const_reference r_key, true_type)
535 {
536 comp_hash pos_hash_pair = ranged_hash_fn_base::operator()(r_key);
537 entry_pointer p_e = m_entries[pos_hash_pair.first];
538 resize_base::notify_find_search_start();
539 while (p_e != 0 &&
540 !hash_eq_fn_base::operator()(PB_DS_V2F(p_e->m_value),
541 p_e->m_hash,
542 r_key, pos_hash_pair.second))
543 {
544 resize_base::notify_find_search_collision();
545 p_e = p_e->m_p_next;
546 }
547
548 resize_base::notify_find_search_end();
549
550 #ifdef _GLIBCXX_DEBUG
551 if (p_e == 0)
552 PB_DS_CHECK_KEY_DOES_NOT_EXIST(r_key)
553 else
554 PB_DS_CHECK_KEY_EXISTS(r_key)
555 #endif
556 return &p_e->m_value;
557 }
558
559 inline bool
560 erase_in_pos_imp(key_const_reference, size_type);
561
562 inline bool
563 erase_in_pos_imp(key_const_reference, const comp_hash&);
564
565 inline void
566 erase_entry_pointer(entry_pointer&);
567
568 #ifdef PB_DS_DATA_TRUE_INDICATOR
569 void
570 inc_it_state(pointer& r_p_value,
571 std::pair<entry_pointer, size_type>& r_pos) const
572 {
573 inc_it_state((mapped_const_pointer& )r_p_value, r_pos);
574 }
575 #endif
576
577 void
578 inc_it_state(const_pointer& r_p_value,
579 std::pair<entry_pointer, size_type>& r_pos) const
580 {
581 _GLIBCXX_DEBUG_ASSERT(r_p_value != 0);
582 r_pos.first = r_pos.first->m_p_next;
583 if (r_pos.first != 0)
584 {
585 r_p_value = &r_pos.first->m_value;
586 return;
587 }
588
589 for (++r_pos.second; r_pos.second < m_num_e; ++r_pos.second)
590 if (m_entries[r_pos.second] != 0)
591 {
592 r_pos.first = m_entries[r_pos.second];
593 r_p_value = &r_pos.first->m_value;
594 return;
595 }
596 r_p_value = 0;
597 }
598
599 void
600 get_start_it_state(pointer& r_p_value,
601 std::pair<entry_pointer, size_type>& r_pos) const
602 {
603 for (r_pos.second = 0; r_pos.second < m_num_e; ++r_pos.second)
604 if (m_entries[r_pos.second] != 0)
605 {
606 r_pos.first = m_entries[r_pos.second];
607 r_p_value = &r_pos.first->m_value;
608 return;
609 }
610 r_p_value = 0;
611 }
612
613 #ifdef _GLIBCXX_DEBUG
614 void
615 assert_entry_pointer_array_valid(const entry_pointer_array,
616 const char*, int) const;
617
618 void
619 assert_entry_pointer_valid(const entry_pointer, true_type,
620 const char*, int) const;
621
622 void
623 assert_entry_pointer_valid(const entry_pointer, false_type,
624 const char*, int) const;
625 #endif
626
627 #ifdef PB_DS_HT_MAP_TRACE_
628 void
629 trace_list(const_entry_pointer) const;
630 #endif
631
632 private:
633 #ifdef PB_DS_DATA_TRUE_INDICATOR
634 friend class iterator_;
635 #endif
636
637 friend class const_iterator_;
638
639 static entry_allocator s_entry_allocator;
640 static entry_pointer_allocator s_entry_pointer_allocator;
641 static iterator s_end_it;
642 static const_iterator s_const_end_it;
643 static point_iterator s_find_end_it;
644 static point_const_iterator s_const_find_end_it;
645
646 size_type m_num_e;
647 size_type m_num_used_e;
648 entry_pointer_array m_entries;
649
650 enum
651 {
652 store_hash_ok = !Store_Hash
653 || !is_same<Hash_Fn, __gnu_pbds::null_type>::value
654 };
655
656 PB_DS_STATIC_ASSERT(sth, store_hash_ok);
657 };
658
659 #include <ext/pb_ds/detail/cc_hash_table_map_/constructor_destructor_fn_imps.hpp>
660 #include <ext/pb_ds/detail/cc_hash_table_map_/entry_list_fn_imps.hpp>
661 #include <ext/pb_ds/detail/cc_hash_table_map_/find_fn_imps.hpp>
662 #include <ext/pb_ds/detail/cc_hash_table_map_/resize_fn_imps.hpp>
663 #include <ext/pb_ds/detail/cc_hash_table_map_/debug_fn_imps.hpp>
664 #include <ext/pb_ds/detail/cc_hash_table_map_/size_fn_imps.hpp>
665 #include <ext/pb_ds/detail/cc_hash_table_map_/policy_access_fn_imps.hpp>
666 #include <ext/pb_ds/detail/cc_hash_table_map_/erase_fn_imps.hpp>
667 #include <ext/pb_ds/detail/cc_hash_table_map_/iterators_fn_imps.hpp>
668 #include <ext/pb_ds/detail/cc_hash_table_map_/insert_fn_imps.hpp>
669 #include <ext/pb_ds/detail/cc_hash_table_map_/trace_fn_imps.hpp>
670
671 #undef PB_DS_CLASS_T_DEC
672 #undef PB_DS_CLASS_C_DEC
673 #undef PB_DS_HASH_EQ_FN_C_DEC
674 #undef PB_DS_RANGED_HASH_FN_C_DEC
675 #undef PB_DS_CC_HASH_TRAITS_BASE
676 #undef PB_DS_DEBUG_MAP_BASE_C_DEC
677 #undef PB_DS_CC_HASH_NAME
678 } // namespace detail
679 } // namespace __gnu_pbds