summaryrefslogtreecommitdiffstats
path: root/src/corelib/tools/qhash.h
blob: 2c39a9dfc890b308249d12822f8ce669ded76b5d (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
/****************************************************************************
**
** Copyright (C) 2020 The Qt Company Ltd.
** Contact: https://www.qt.io/licensing/
**
** This file is part of the QtCore module of the Qt Toolkit.
**
** $QT_BEGIN_LICENSE:LGPL$
** Commercial License Usage
** Licensees holding valid commercial Qt licenses may use this file in
** accordance with the commercial license agreement provided with the
** Software or, alternatively, in accordance with the terms contained in
** a written agreement between you and The Qt Company. For licensing terms
** and conditions see https://www.qt.io/terms-conditions. For further
** information use the contact form at https://www.qt.io/contact-us.
**
** GNU Lesser General Public License Usage
** Alternatively, this file may be used under the terms of the GNU Lesser
** General Public License version 3 as published by the Free Software
** Foundation and appearing in the file LICENSE.LGPL3 included in the
** packaging of this file. Please review the following information to
** ensure the GNU Lesser General Public License version 3 requirements
** will be met: https://www.gnu.org/licenses/lgpl-3.0.html.
**
** GNU General Public License Usage
** Alternatively, this file may be used under the terms of the GNU
** General Public License version 2.0 or (at your option) the GNU General
** Public license version 3 or any later version approved by the KDE Free
** Qt Foundation. The licenses are as published by the Free Software
** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3
** included in the packaging of this file. Please review the following
** information to ensure the GNU General Public License requirements will
** be met: https://www.gnu.org/licenses/gpl-2.0.html and
** https://www.gnu.org/licenses/gpl-3.0.html.
**
** $QT_END_LICENSE$
**
****************************************************************************/

#ifndef QHASH_H
#define QHASH_H

#include <QtCore/qiterator.h>
#include <QtCore/qvector.h>
#include <QtCore/qrefcount.h>
#include <QtCore/qhashfunctions.h>
#include <QtCore/qcontainertools_impl.h>
#include <QtCore/qmath.h>

#include <initializer_list>

QT_BEGIN_NAMESPACE

struct QHashDummyValue
{
    bool operator==(const QHashDummyValue &) const noexcept { return true; }
};

namespace QHashPrivate {

// QHash uses a power of two growth policy.
namespace GrowthPolicy
{
inline constexpr size_t maxNumBuckets() noexcept
{
    return size_t(1) << (8*sizeof(size_t) - 1);
}
inline constexpr size_t bucketsForCapacity(size_t requestedCapacity) noexcept
{
    if (requestedCapacity <= 8)
        return 16;
    if (requestedCapacity >= maxNumBuckets())
        return maxNumBuckets();
    return qNextPowerOfTwo(QIntegerForSize<sizeof(size_t)>::Unsigned(2*requestedCapacity - 1));
}
inline constexpr size_t bucketForHash(size_t nBuckets, size_t hash) noexcept
{
    return hash & (nBuckets - 1);
}
}

template <typename Key, typename T>
struct Node
{
    using KeyType = Key;
    using ValueType = T;

    Key key;
    T value;
    template<typename ...Args>
    static void createInPlace(Node *n, Key &&k, Args &&... args)
    { new (n) Node{ std::move(k), T(std::forward<Args>(args)...) }; }
    template<typename ...Args>
    static void createInPlace(Node *n, const Key &k, Args &&... args)
    { new (n) Node{ Key(k), T(std::forward<Args>(args)...) }; }
    template<typename ...Args>
    void emplaceValue(Args &&... args)
    {
        value = T(std::forward<Args>(args)...);
    }
    T &&takeValue() noexcept(std::is_nothrow_move_assignable_v<T>)
    {
        return std::move(value);
    }
    bool valuesEqual(const Node *other) const { return value == other->value; }
};

template <typename Key>
struct Node<Key, QHashDummyValue> {
    using KeyType = Key;
    using ValueType = QHashDummyValue;

    Key key;
    template<typename ...Args>
    static void createInPlace(Node *n, Key &&k, Args &&...)
    { new (n) Node{ std::move(k) }; }
    template<typename ...Args>
    static void createInPlace(Node *n, const Key &k, Args &&...)
    { new (n) Node{ k }; }
    template<typename ...Args>
    void emplaceValue(Args &&...)
    {
    }
    ValueType takeValue() { return QHashDummyValue(); }
    bool valuesEqual(const Node *) const { return true; }
};

template <typename T>
struct MultiNodeChain
{
    T value;
    MultiNodeChain *next = nullptr;
    ~MultiNodeChain()
    {
    }
    qsizetype free() noexcept(std::is_nothrow_destructible_v<T>)
    {
        qsizetype nEntries = 0;
        MultiNodeChain *e = this;
        while (e) {
            MultiNodeChain *n = e->next;
            ++nEntries;
            delete e;
            e = n;
        }
        return  nEntries;
    }
    bool contains(const T &val) const noexcept
    {
        const MultiNodeChain *e = this;
        while (e) {
            if (e->value == val)
                return true;
            e = e->next;
        }
        return false;
    }
};

template <typename Key, typename T>
struct MultiNode
{
    using KeyType = Key;
    using ValueType = T;
    using Chain = MultiNodeChain<T>;

    Key key;
    Chain *value;

    template<typename ...Args>
    static void createInPlace(MultiNode *n, Key &&k, Args &&... args)
    { new (n) MultiNode(std::move(k), new Chain{ T(std::forward<Args>(args)...), nullptr }); }
    template<typename ...Args>
    static void createInPlace(MultiNode *n, const Key &k, Args &&... args)
    { new (n) MultiNode(k, new Chain{ T(std::forward<Args>(args)...), nullptr }); }

    MultiNode(const Key &k, Chain *c)
        : key(k),
          value(c)
    {}
    MultiNode(Key &&k, Chain *c) noexcept(std::is_nothrow_move_assignable_v<Key>)
        : key(std::move(k)),
          value(c)
    {}

    MultiNode(MultiNode &&other)
        : key(other.key),
          value(other.value)
    {
        other.value = nullptr;
    }

    MultiNode(const MultiNode &other)
        : key(other.key)
    {
        Chain *c = other.value;
        Chain **e = &value;
        while (c) {
            Chain *chain = new Chain{ c->value, nullptr };
            *e = chain;
            e = &chain->next;
            c = c->next;
        }
    }
    ~MultiNode()
    {
        if (value)
            value->free();
    }
    static qsizetype freeChain(MultiNode *n) noexcept(std::is_nothrow_destructible_v<T>)
    {
        qsizetype size = n->value->free();
        n->value = nullptr;
        return size;
    }
    template<typename ...Args>
    void insertMulti(Args &&... args)
    {
        Chain *e = new Chain{ T(std::forward<Args>(args)...), nullptr };
        e->next = value;
        value = e;
    }
    template<typename ...Args>
    void emplaceValue(Args &&... args)
    {
        value->value = T(std::forward<Args>(args)...);
    }

    // compiler generated move operators are fine
};

template<typename  Node>
constexpr bool isRelocatable()
{
    return QTypeInfo<typename Node::KeyType>::isRelocatable && QTypeInfo<typename Node::ValueType>::isRelocatable;
}

// Regular hash tables consist of a list of buckets that can store Nodes. But simply allocating one large array of buckets
// would waste a lot of memory. To avoid this, we split the vector of buckets up into a vector of Spans. Each Span represents
// NEntries buckets. To quickly find the correct Span that holds a bucket, NEntries must be a power of two.
//
// Inside each Span, there is an offset array that represents the actual buckets. offsets contains either an index into the
// actual storage space for the Nodes (the 'entries' member) or 0xff (UnusedEntry) to flag that the bucket is empty.
// As we have only 128 entries per Span, the offset array can be represented using an unsigned char. This trick makes the hash
// table have a very small memory overhead compared to many other implementations.
template<typename Node>
struct Span {
    enum {
        NEntries = 128,
        LocalBucketMask = (NEntries - 1),
        UnusedEntry = 0xff
    };
    static_assert ((NEntries & LocalBucketMask) == 0, "EntriesPerSpan must be a power of two.");

    // Entry is a slot available for storing a Node. The Span holds a pointer to
    // an array of Entries. Upon construction of the array, those entries are
    // unused, and nextFree() is being used to set up a singly linked list
    // of free entries.
    // When a node gets inserted, the first free entry is being picked, removed
    // from the singly linked list and the Node gets constructed in place.
    struct Entry {
        typename std::aligned_storage<sizeof(Node), alignof(Node)>::type storage;

        unsigned char &nextFree() { return *reinterpret_cast<unsigned char *>(&storage); }
        Node &node() { return *reinterpret_cast<Node *>(&storage); }
    };

    unsigned char offsets[NEntries];
    Entry *entries = nullptr;
    unsigned char allocated = 0;
    unsigned char nextFree = 0;
    Span() noexcept
    {
        memset(offsets, UnusedEntry, sizeof(offsets));
    }
    ~Span()
    {
        freeData();
    }
    void freeData() noexcept(std::is_nothrow_destructible<Node>::value)
    {
        if (entries) {
            if constexpr (!std::is_trivially_destructible<Node>::value) {
                for (auto o : offsets) {
                    if (o != UnusedEntry)
                        entries[o].node().~Node();
                }
            }
            delete [] entries;
            entries = nullptr;
        }
    }
    Node *insert(size_t i)
    {
        Q_ASSERT(i <= NEntries);
        Q_ASSERT(offsets[i] == UnusedEntry);
        if (nextFree == allocated)
            addStorage();
        unsigned char entry = nextFree;
        Q_ASSERT(entry < allocated);
        nextFree = entries[entry].nextFree();
        offsets[i] = entry;
        return &entries[entry].node();
    }
    void erase(size_t bucket) noexcept(std::is_nothrow_destructible<Node>::value)
    {
        Q_ASSERT(bucket <= NEntries);
        Q_ASSERT(offsets[bucket] != UnusedEntry);

        unsigned char entry = offsets[bucket];
        offsets[bucket] = UnusedEntry;

        entries[entry].node().~Node();
        entries[entry].nextFree() = nextFree;
        nextFree = entry;
    }
    size_t offset(size_t i) const noexcept
    {
        return offsets[i];
    }
    bool hasNode(size_t i) const noexcept
    {
        return (offsets[i] != UnusedEntry);
    }
    Node &at(size_t i) noexcept
    {
        Q_ASSERT(i <= NEntries);
        Q_ASSERT(offsets[i] != UnusedEntry);

        return entries[offsets[i]].node();
    }
    const Node &at(size_t i) const noexcept
    {
        Q_ASSERT(i <= NEntries);
        Q_ASSERT(offsets[i] != UnusedEntry);

        return entries[offsets[i]].node();
    }
    Node &atOffset(size_t o) noexcept
    {
        Q_ASSERT(o < allocated);

        return entries[o].node();
    }
    const Node &atOffset(size_t o) const noexcept
    {
        Q_ASSERT(o < allocated);

        return entries[o].node();
    }
    void moveLocal(size_t from, size_t to) noexcept
    {
        Q_ASSERT(offsets[from] != UnusedEntry);
        Q_ASSERT(offsets[to] == UnusedEntry);
        offsets[to] = offsets[from];
        offsets[from] = UnusedEntry;
    }
    void moveFromSpan(Span &fromSpan, size_t fromIndex, size_t to) noexcept(std::is_nothrow_move_constructible_v<Node>)
    {
        Q_ASSERT(to <= NEntries);
        Q_ASSERT(offsets[to] == UnusedEntry);
        Q_ASSERT(fromIndex <= NEntries);
        Q_ASSERT(fromSpan.offsets[fromIndex] != UnusedEntry);
        if (nextFree == allocated)
            addStorage();
        Q_ASSERT(nextFree < allocated);
        offsets[to] = nextFree;
        Entry &toEntry = entries[nextFree];
        nextFree = toEntry.nextFree();

        size_t fromOffset = fromSpan.offsets[fromIndex];
        fromSpan.offsets[fromIndex] = UnusedEntry;
        Entry &fromEntry = fromSpan.entries[fromOffset];

        if constexpr (isRelocatable<Node>()) {
            memcpy(&toEntry, &fromEntry, sizeof(Entry));
        } else {
            new (&toEntry.node()) Node(std::move(fromEntry.node()));
            fromEntry.node().~Node();
        }
        fromEntry.nextFree() = fromSpan.nextFree;
        fromSpan.nextFree = static_cast<unsigned char>(fromOffset);
    }

    void addStorage()
    {
        Q_ASSERT(allocated < NEntries);
        Q_ASSERT(nextFree == allocated);
        // the hash table should always be between 25 and 50% full
        // this implies that we on average have between 32 and 64 entries
        // in here. The likelihood of having below 16 entries is very small,
        // so start with that and increment by 16 each time we need to add
        // some more space
        const size_t increment = NEntries/8;
        size_t alloc = allocated + increment;
        Entry *newEntries = new Entry[alloc];
        // we only add storage if the previous storage was fully filled, so
        // simply copy the old data over
        if constexpr (isRelocatable<Node>()) {
            memcpy(newEntries, entries, allocated*sizeof(Entry));
        } else {
            for (size_t i = 0; i < allocated; ++i) {
                new (&newEntries[i].node()) Node(std::move(entries[i].node()));
                entries[i].node().~Node();
            }
        }
        for (size_t i = allocated; i < allocated + increment; ++i) {
            newEntries[i].nextFree() = uchar(i + 1);
        }
        delete [] entries;
        entries = newEntries;
        allocated = uchar(alloc);
    }
};

template <typename Node>
struct iterator;

template <typename Node>
struct Data
{
    using Key = typename Node::KeyType;
    using T = typename Node::ValueType;
    using Span = QHashPrivate::Span<Node>;
    using iterator = QHashPrivate::iterator<Node>;

    QtPrivate::RefCount ref = {{1}};
    size_t size = 0;
    size_t numBuckets = 0;
    size_t seed = 0;


    Span *spans = nullptr;

    Data(size_t reserve = 0)
    {
        numBuckets = GrowthPolicy::bucketsForCapacity(reserve);
        size_t nSpans = (numBuckets + Span::LocalBucketMask) / Span::NEntries;
        spans = new Span[nSpans];
        seed = qGlobalQHashSeed();
    }
    Data(const Data &other, size_t reserved = 0)
        : size(other.size),
          numBuckets(other.numBuckets),
          seed(other.seed)
    {
        if (reserved)
            numBuckets = GrowthPolicy::bucketsForCapacity(qMax(size, reserved));
        bool resized = numBuckets != other.numBuckets;
        size_t nSpans = (numBuckets + Span::LocalBucketMask) / Span::NEntries;
        spans = new Span[nSpans];

        for (size_t s = 0; s < nSpans; ++s) {
            const Span &span = other.spans[s];
            for (size_t index = 0; index < Span::NEntries; ++index) {
                if (!span.hasNode(index))
                    continue;
                const Node &n = span.at(index);
                iterator it = resized ? find(n.key) : iterator{ this, s*Span::NEntries + index };
                Q_ASSERT(it.isUnused());
                Node *newNode = spans[it.span()].insert(it.index());
                new (newNode) Node(n);
            }
        }
    }

    static Data *detached(Data *d, size_t size = 0)
    {
        if (!d)
            return new Data(size);
        Data *dd = new Data(*d, size);
        if (!d->ref.deref())
            delete d;
        return dd;
    }


    void clear()
    {
        delete [] spans;
        spans = nullptr;
        size = 0;
        numBuckets = 0;
    }

    iterator detachedIterator(iterator other) const noexcept
    {
        return iterator{this, other.bucket};
    }

    iterator begin() const noexcept
    {
        iterator it{ this, 0 };
        if (it.isUnused())
            ++it;
        return it;
    }

    constexpr iterator end() const noexcept
    {
        return iterator();
    }

    void rehash(size_t sizeHint = 0)
    {
        if (sizeHint == 0)
            sizeHint = size;
        size_t newBucketCount = GrowthPolicy::bucketsForCapacity(sizeHint);

        Span *oldSpans = spans;
        size_t oldBucketCount = numBuckets;
        size_t nSpans = (newBucketCount + Span::LocalBucketMask) / Span::NEntries;
        spans = new Span[nSpans];
        numBuckets = newBucketCount;
        size_t oldNSpans = (oldBucketCount + Span::LocalBucketMask) / Span::NEntries;

        for (size_t s = 0; s < oldNSpans; ++s) {
            Span &span = oldSpans[s];
            for (size_t index = 0; index < Span::NEntries; ++index) {
                if (!span.hasNode(index))
                    continue;
                Node &n = span.at(index);
                iterator it = find(n.key);
                Q_ASSERT(it.isUnused());
                Node *newNode = spans[it.span()].insert(it.index());
                new (newNode) Node(std::move(n));
            }
            span.freeData();
        }
        delete [] oldSpans;
    }

    size_t nextBucket(size_t bucket) const noexcept
    {
        ++bucket;
        if (bucket == numBuckets)
            bucket = 0;
        return bucket;
    }

    float loadFactor() const noexcept
    {
        return float(size)/numBuckets;
    }
    bool shouldGrow() const noexcept
    {
        return size >= (numBuckets >> 1);
    }

    iterator find(const Key &key) const noexcept
    {
        Q_ASSERT(numBuckets > 0);
        size_t hash = qHash(key, seed);
        size_t bucket = GrowthPolicy::bucketForHash(numBuckets, hash);
        // loop over the buckets until we find the entry we search for
        // or an empty slot, in which case we know the entry doesn't exist
        while (true) {
            // Split the bucket into the indexex of span array, and the local
            // offset inside the span
            size_t span = bucket / Span::NEntries;
            size_t index = bucket & Span::LocalBucketMask;
            Span &s = spans[span];
            size_t offset = s.offset(index);
            if (offset == Span::UnusedEntry) {
                return iterator{ this, bucket };
            } else {
                Node &n = s.atOffset(offset);
                if (n.key == key)
                    return iterator{ this, bucket };
            }
            bucket = nextBucket(bucket);
        }
    }

    Node *findNode(const Key &key) const noexcept
    {
        if (!size)
            return nullptr;
        iterator it = find(key);
        if (it.isUnused())
            return nullptr;
        return it.node();
    }

    struct InsertionResult {
        iterator it;
        bool initialized;
    };

    InsertionResult findOrInsert(const Key &key) noexcept
    {
        if (shouldGrow())
            rehash(size + 1);
        iterator it = find(key);
        if (it.isUnused()) {
            spans[it.span()].insert(it.index());
            ++size;
            return { it, false };
        }
        return { it, true };
    }

    iterator erase(iterator it) noexcept(std::is_nothrow_destructible<Node>::value)
    {
        size_t bucket = it.bucket;
        size_t span = bucket / Span::NEntries;
        size_t index = bucket & Span::LocalBucketMask;
        Q_ASSERT(spans[span].hasNode(index));
        spans[span].erase(index);
        --size;

        // re-insert the following entries to avoid holes
        size_t hole = bucket;
        size_t next = bucket;
        while (true) {
            next = nextBucket(next);
            size_t nextSpan = next / Span::NEntries;
            size_t nextIndex = next & Span::LocalBucketMask;
            if (!spans[nextSpan].hasNode(nextIndex))
                break;
            size_t hash = qHash(spans[nextSpan].at(nextIndex).key, seed);
            size_t newBucket = GrowthPolicy::bucketForHash(numBuckets, hash);
            while (true) {
                if (newBucket == next) {
                    // nothing to do, item is at the right plae
                    break;
                } else if (newBucket == hole) {
                    // move into hole
                    size_t holeSpan = hole / Span::NEntries;
                    size_t holeIndex = hole & Span::LocalBucketMask;
                    if (nextSpan == holeSpan) {
                        spans[holeSpan].moveLocal(nextIndex, holeIndex);
                    } else {
                        // move between spans, more expensive
                        spans[holeSpan].moveFromSpan(spans[nextSpan], nextIndex, holeIndex);
                    }
                    hole = next;
                    break;
                }
                newBucket = nextBucket(newBucket);
            }
        }

        // return correct position of the next element
        if (!spans[span].hasNode(index))
            ++it;
        return it;
    }

    ~Data()
    {
        delete [] spans;
    }
};

template <typename Node>
struct iterator {
    using Span = QHashPrivate::Span<Node>;

    const Data<Node> *d = nullptr;
    size_t bucket = 0;

    size_t span() const noexcept { return bucket / Span::NEntries; }
    size_t index() const noexcept { return bucket & Span::LocalBucketMask; }
    inline bool isUnused() const noexcept { return !d->spans[span()].hasNode(index()); }

    inline Node *node() const noexcept
    {
        Q_ASSERT(!isUnused());
        return &d->spans[span()].at(index());
    }
    bool atEnd() const noexcept { return !d; }

    iterator operator++() noexcept
    {
        while (true) {
            ++bucket;
            if (bucket == d->numBuckets) {
                d = nullptr;
                bucket = 0;
                break;
            }
            if (!isUnused())
                break;
        }
        return *this;
    }
    bool operator==(iterator other) const noexcept
    { return d == other.d && bucket == other.bucket; }
    bool operator!=(iterator other) const noexcept
    { return !(*this == other); }
};



} // namespace QHashPrivate

template <class Key, class T>
class QHash
{
    using Node = QHashPrivate::Node<Key, T>;
    using Data = QHashPrivate::Data<Node>;
    friend class QSet<Key>;

    Data *d = nullptr;

public:
    using key_type = Key;
    using mapped_type = T;
    using value_type = T;
    using size_type = qsizetype;
    using difference_type = qsizetype;
    using reference = T &;
    using const_reference = const T &;

    inline QHash() noexcept = default;
    inline QHash(std::initializer_list<std::pair<Key,T> > list)
        : d(new Data(list.size()))
    {
        for (typename std::initializer_list<std::pair<Key,T> >::const_iterator it = list.begin(); it != list.end(); ++it)
            insert(it->first, it->second);
    }
    QHash(const QHash &other) noexcept
        : d(other.d)
    {
        if (d)
            d->ref.ref();
    }
    ~QHash()
    {
        if (d && !d->ref.deref())
            delete d;
    }

    QHash &operator=(const QHash &other) noexcept(std::is_nothrow_destructible<Node>::value)
    {
        if (d != other.d) {
            Data *o = other.d;
            if (o)
                o->ref.ref();
            if (d && !d->ref.deref())
                delete d;
            d = o;
        }
        return *this;
    }

    QHash(QHash &&other) noexcept
        : d(std::exchange(other.d, nullptr))
    {
    }
    QHash &operator=(QHash &&other) noexcept(std::is_nothrow_destructible<Node>::value)
    {
        if (d != other.d) {
            if (d && !d->ref.deref())
                delete d;
            d = std::exchange(other.d, nullptr);
        }
        return *this;
    }
#ifdef Q_QDOC
    template <typename InputIterator>
    QHash(InputIterator f, InputIterator l);
#else
    template <typename InputIterator, QtPrivate::IfAssociativeIteratorHasKeyAndValue<InputIterator> = true>
    QHash(InputIterator f, InputIterator l)
        : QHash()
    {
        QtPrivate::reserveIfForwardIterator(this, f, l);
        for (; f != l; ++f)
            insert(f.key(), f.value());
    }

    template <typename InputIterator, QtPrivate::IfAssociativeIteratorHasFirstAndSecond<InputIterator> = true>
    QHash(InputIterator f, InputIterator l)
        : QHash()
    {
        QtPrivate::reserveIfForwardIterator(this, f, l);
        for (; f != l; ++f)
            insert(f->first, f->second);
    }
#endif
    void swap(QHash &other) noexcept { qSwap(d, other.d); }

    bool operator==(const QHash &other) const noexcept
    {
        if (d == other.d)
            return true;
        if (size() != other.size())
            return false;

        for (const_iterator it = other.begin(); it != other.end(); ++it) {
            const_iterator i = find(it.key());
            if (i == end() || !i.i.node()->valuesEqual(it.i.node()))
                return false;
        }
        // all values must be the same as size is the same
        return true;
    }
    bool operator!=(const QHash &other) const noexcept { return !(*this == other); }

    inline qsizetype size() const noexcept { return d ? qsizetype(d->size) : 0; }
    inline bool isEmpty() const noexcept { return !d || d->size == 0; }

    inline qsizetype capacity() const noexcept { return d ? qsizetype(d->numBuckets >> 1) : 0; }
    void reserve(qsizetype size)
    {
        if (isDetached())
            d->rehash(size);
        else
            d = Data::detached(d, size_t(size));
    }
    inline void squeeze() { reserve(0); }

    inline void detach() { if (!d || d->ref.isShared()) d = Data::detached(d); }
    inline bool isDetached() const noexcept { return d && !d->ref.isShared(); }
    bool isSharedWith(const QHash &other) const noexcept { return d == other.d; }

    void clear() noexcept(std::is_nothrow_destructible<Node>::value)
    {
        if (d && !d->ref.deref())
            delete d;
        d = nullptr;
    }

    bool remove(const Key &key)
    {
        if (isEmpty()) // prevents detaching shared null
            return false;
        detach();

        auto it = d->find(key);
        if (it.isUnused())
            return false;
        d->erase(it);
        return true;
    }
    T take(const Key &key)
    {
        if (isEmpty()) // prevents detaching shared null
            return T();
        detach();

        auto it = d->find(key);
        if (it.isUnused())
            return T();
        T value = it.node()->takeValue();
        d->erase(it);
        return value;
    }

    bool contains(const Key &key) const noexcept
    {
        if (!d)
            return false;
        return d->findNode(key) != nullptr;
    }
    qsizetype count(const Key &key) const noexcept
    {
        return contains(key) ? 1 : 0;
    }

    Key key(const T &value, const Key &defaultKey = Key()) const noexcept
    {
        if (d) {
            const_iterator i = begin();
            while (i != end()) {
                if (i.value() == value)
                    return i.key();
                ++i;
            }
        }

        return defaultKey;
    }
    T value(const Key &key, const T &defaultValue = T()) const noexcept
    {
        if (d) {
            Node *n = d->findNode(key);
            if (n)
                return n->value;
        }
        return defaultValue;
    }
    T &operator[](const Key &key)
    {
        detach();
        auto result = d->findOrInsert(key);
        Q_ASSERT(!result.it.atEnd());
        if (!result.initialized)
            Node::createInPlace(result.it.node(), key, T());
        return result.it.node()->value;
    }

    const T operator[](const Key &key) const noexcept
    {
        return value(key);
    }

    QVector<Key> keys() const
    {
        return QVector<Key>(keyBegin(), keyEnd());
    }
    QVector<Key> keys(const T &value) const
    {
        QVector<Key> res;
        const_iterator i = begin();
        while (i != end()) {
            if (i.value() == value)
                res.append(i.key());
            ++i;
        }
        return res;
    }
    QVector<T> values() const
    {
        return QVector<T>(begin(), end());
    }

    class const_iterator;

    class iterator
    {
        using piter = typename QHashPrivate::iterator<Node>;
        friend class const_iterator;
        friend class QHash<Key, T>;
        friend class QSet<Key>;
        piter i;
        explicit inline iterator(piter it) noexcept : i(it) { }

    public:
        typedef std::forward_iterator_tag iterator_category;
        typedef qptrdiff difference_type;
        typedef T value_type;
        typedef T *pointer;
        typedef T &reference;

        constexpr iterator() noexcept = default;

        inline const Key &key() const noexcept { return i.node()->key; }
        inline T &value() const noexcept { return i.node()->value; }
        inline T &operator*() const noexcept { return i.node()->value; }
        inline T *operator->() const noexcept { return &i.node()->value; }
        inline bool operator==(const iterator &o) const noexcept { return i == o.i; }
        inline bool operator!=(const iterator &o) const noexcept { return i != o.i; }

        inline iterator &operator++() noexcept
        {
            ++i;
            return *this;
        }
        inline iterator operator++(int) noexcept
        {
            iterator r = *this;
            ++i;
            return r;
        }

        inline bool operator==(const const_iterator &o) const noexcept { return i == o.i; }
        inline bool operator!=(const const_iterator &o) const noexcept { return i != o.i; }
    };
    friend class iterator;

    class const_iterator
    {
        using piter = typename QHashPrivate::iterator<Node>;
        friend class iterator;
        friend class QHash<Key, T>;
        friend class QSet<Key>;
        piter i;
        explicit inline const_iterator(piter it) : i(it) { }

    public:
        typedef std::forward_iterator_tag iterator_category;
        typedef qptrdiff difference_type;
        typedef T value_type;
        typedef const T *pointer;
        typedef const T &reference;

        constexpr const_iterator() noexcept = default;
        inline const_iterator(const iterator &o) noexcept : i(o.i) { }

        inline const Key &key() const noexcept { return i.node()->key; }
        inline const T &value() const noexcept { return i.node()->value; }
        inline const T &operator*() const noexcept { return i.node()->value; }
        inline const T *operator->() const noexcept { return &i.node()->value; }
        inline bool operator==(const const_iterator &o) const noexcept { return i == o.i; }
        inline bool operator!=(const const_iterator &o) const noexcept { return i != o.i; }

        inline const_iterator &operator++() noexcept
        {
            ++i;
            return *this;
        }
        inline const_iterator operator++(int) noexcept
        {
            const_iterator r = *this;
            ++i;
            return r;
        }
    };
    friend class const_iterator;

    class key_iterator
    {
        const_iterator i;

    public:
        typedef typename const_iterator::iterator_category iterator_category;
        typedef qptrdiff difference_type;
        typedef Key value_type;
        typedef const Key *pointer;
        typedef const Key &reference;

        key_iterator() noexcept = default;
        explicit key_iterator(const_iterator o) noexcept : i(o) { }

        const Key &operator*() const noexcept { return i.key(); }
        const Key *operator->() const noexcept { return &i.key(); }
        bool operator==(key_iterator o) const noexcept { return i == o.i; }
        bool operator!=(key_iterator o) const noexcept { return i != o.i; }

        inline key_iterator &operator++() noexcept { ++i; return *this; }
        inline key_iterator operator++(int) noexcept { return key_iterator(i++);}
        const_iterator base() const noexcept { return i; }
    };

    typedef QKeyValueIterator<const Key&, const T&, const_iterator> const_key_value_iterator;
    typedef QKeyValueIterator<const Key&, T&, iterator> key_value_iterator;

    // STL style
    inline iterator begin() { detach(); return iterator(d->begin()); }
    inline const_iterator begin() const noexcept { return d ? const_iterator(d->begin()): const_iterator(); }
    inline const_iterator cbegin() const noexcept { return d ? const_iterator(d->begin()): const_iterator(); }
    inline const_iterator constBegin() const noexcept { return d ? const_iterator(d->begin()): const_iterator(); }
    inline iterator end() noexcept { return iterator(); }
    inline const_iterator end() const noexcept { return const_iterator(); }
    inline const_iterator cend() const noexcept { return const_iterator(); }
    inline const_iterator constEnd() const noexcept { return const_iterator(); }
    inline key_iterator keyBegin() const noexcept { return key_iterator(begin()); }
    inline key_iterator keyEnd() const noexcept { return key_iterator(end()); }
    inline key_value_iterator keyValueBegin() { return key_value_iterator(begin()); }
    inline key_value_iterator keyValueEnd() { return key_value_iterator(end()); }
    inline const_key_value_iterator keyValueBegin() const noexcept { return const_key_value_iterator(begin()); }
    inline const_key_value_iterator constKeyValueBegin() const noexcept { return const_key_value_iterator(begin()); }
    inline const_key_value_iterator keyValueEnd() const noexcept { return const_key_value_iterator(end()); }
    inline const_key_value_iterator constKeyValueEnd() const noexcept { return const_key_value_iterator(end()); }

    iterator erase(const_iterator it)
    {
        Q_ASSERT(it != constEnd());
        detach();
        // ensure a valid iterator across the detach:
        iterator i = iterator{d->detachedIterator(it.i)};

        i.i = d->erase(i.i);
        return i;
    }

    QPair<iterator, iterator> equal_range(const Key &key)
    {
        auto first = find(key);
        auto second = first;
        if (second != iterator())
            ++second;
        return qMakePair(first, second);
    }

    QPair<const_iterator, const_iterator> equal_range(const Key &key) const noexcept
    {
        auto first = find(key);
        auto second = first;
        if (second != iterator())
            ++second;
        return qMakePair(first, second);
    }

    typedef iterator Iterator;
    typedef const_iterator ConstIterator;
    inline qsizetype count() const noexcept { return d ? qsizetype(d->size) : 0; }
    iterator find(const Key &key)
    {
        if (isEmpty()) // prevents detaching shared null
            return end();
        detach();
        auto it = d->find(key);
        if (it.isUnused())
            it = d->end();
        return iterator(it);
    }
    const_iterator find(const Key &key) const noexcept
    {
        if (isEmpty())
            return end();
        auto it = d->find(key);
        if (it.isUnused())
            it = d->end();
        return const_iterator(it);
    }
    const_iterator constFind(const Key &key) const noexcept
    {
        return find(key);
    }
    iterator insert(const Key &key, const T &value)
    {
        return emplace(key, value);
    }

    void insert(const QHash &hash)
    {
        if (d == hash.d || !hash.d)
            return;
        if (!d) {
            *this = hash;
            return;
        }

        detach();

        for (auto it = hash.begin(); it != hash.end(); ++it)
            emplace(it.key(), it.value());
    }

    template <typename ...Args>
    iterator emplace(const Key &key, Args &&... args)
    {
        return emplace(Key(key), std::forward<Args>(args)...);
    }

    template <typename ...Args>
    iterator emplace(Key &&key, Args &&... args)
    {
        detach();

        auto result = d->findOrInsert(key);
        if (!result.initialized)
            Node::createInPlace(result.it.node(), std::move(key), std::forward<Args>(args)...);
        else
            result.it.node()->emplaceValue(std::forward<Args>(args)...);
        return iterator(result.it);
    }

    float load_factor() const noexcept { return d ? d->loadFactor() : 0; }
    static float max_load_factor() noexcept { return 0.5; }
    size_t bucket_count() const noexcept { return d ? d->numBuckets : 0; }
    static size_t max_bucket_count() noexcept { return QHashPrivate::GrowthPolicy::maxNumBuckets(); }

    inline bool empty() const noexcept { return isEmpty(); }
};



template <class Key, class T>
class QMultiHash
{
    using Node = QHashPrivate::MultiNode<Key, T>;
    using Data = QHashPrivate::Data<Node>;
    using Chain = QHashPrivate::MultiNodeChain<T>;

    Data  *d = nullptr;
    qsizetype m_size = 0;

public:
    using key_type = Key;
    using mapped_type = T;
    using value_type = T;
    using size_type = qsizetype;
    using difference_type = qsizetype;
    using reference = T &;
    using const_reference = const T &;

    QMultiHash() noexcept = default;
    inline QMultiHash(std::initializer_list<std::pair<Key,T> > list)
        : d(new Data(list.size()))
    {
        for (typename std::initializer_list<std::pair<Key,T> >::const_iterator it = list.begin(); it != list.end(); ++it)
            insert(it->first, it->second);
    }
#ifdef Q_QDOC
    template <typename InputIterator>
    QMultiHash(InputIterator f, InputIterator l);
#else
    template <typename InputIterator, QtPrivate::IfAssociativeIteratorHasKeyAndValue<InputIterator> = true>
    QMultiHash(InputIterator f, InputIterator l)
    {
        QtPrivate::reserveIfForwardIterator(this, f, l);
        for (; f != l; ++f)
            insert(f.key(), f.value());
    }

    template <typename InputIterator, QtPrivate::IfAssociativeIteratorHasFirstAndSecond<InputIterator> = true>
    QMultiHash(InputIterator f, InputIterator l)
    {
        QtPrivate::reserveIfForwardIterator(this, f, l);
        for (; f != l; ++f)
            insert(f->first, f->second);
    }
#endif
    QMultiHash(const QMultiHash &other) noexcept
        : d(other.d), m_size(other.m_size)
    {
        if (d)
            d->ref.ref();
    }
    ~QMultiHash()
    {
        if (d && !d->ref.deref())
            delete d;
    }

    QMultiHash &operator=(const QMultiHash &other) noexcept(std::is_nothrow_destructible<Node>::value)
    {
        if (d != other.d) {
            Data *o = other.d;
            if (o)
                o->ref.ref();
            if (d && !d->ref.deref())
                delete d;
            d = o;
            m_size = other.m_size;
        }
        return *this;
    }
    QMultiHash(QMultiHash &&other) noexcept : d(other.d), m_size(other.m_size)
    {
        other.d = nullptr;
        other.m_size = 0;
    }
    QMultiHash &operator=(QMultiHash &&other) noexcept(std::is_nothrow_destructible<Node>::value)
    {
        QMultiHash moved(std::move(other));
        swap(moved);
        return *this;
    }

    QMultiHash(const QHash<Key, T> &other)
        : QMultiHash(other.begin(), other.end())
    {}
    void swap(QMultiHash &other) noexcept { qSwap(d, other.d); qSwap(m_size, other.m_size); }

    bool operator==(const QMultiHash &other) const noexcept
    {
        if (d == other.d)
            return true;
        if (!d || ! other.d)
            return false;
        if (m_size != other.m_size || d->size != other.d->size)
            return false;
        for (auto it = other.d->begin(); it != other.d->end(); ++it) {
            auto i = d->find(it.node()->key);
            if (i == d->end())
                return false;
            Chain *e = it.node()->value;
            while (e) {
                Chain *oe = i.node()->value;
                while (oe) {
                    if (oe->value == e->value)
                        break;
                    oe = oe->next;
                }
                if (!oe)
                    return false;
                e = e->next;
            }
        }
        // all values must be the same as size is the same
        return true;
    }
    bool operator!=(const QMultiHash &other) const noexcept { return !(*this == other); }

    inline qsizetype size() const noexcept { return m_size; }

    inline bool isEmpty() const noexcept { return !m_size; }

    inline qsizetype capacity() const noexcept { return d ? qsizetype(d->numBuckets >> 1) : 0; }
    void reserve(qsizetype size)
    {
        if (isDetached())
            d->rehash(size);
        else
            d = Data::detached(d, size_t(size));
    }
    inline void squeeze() { reserve(0); }

    inline void detach() { if (!d || d->ref.isShared()) d = Data::detached(d); }
    inline bool isDetached() const noexcept { return d && !d->ref.isShared(); }
    bool isSharedWith(const QMultiHash &other) const noexcept { return d == other.d; }

    void clear() noexcept(std::is_nothrow_destructible<Node>::value)
    {
        if (d && !d->ref.deref())
            delete d;
        d = nullptr;
        m_size = 0;
    }

    qsizetype remove(const Key &key)
    {
        if (isEmpty()) // prevents detaching shared null
            return 0;
        detach();

        auto it = d->find(key);
        if (it.isUnused())
            return 0;
        qsizetype n = Node::freeChain(it.node());
        m_size -= n;
        Q_ASSERT(m_size >= 0);
        d->erase(it);
        return n;
    }
    T take(const Key &key)
    {
        if (isEmpty()) // prevents detaching shared null
            return T();
        detach();

        auto it = d->find(key);
        if (it.isUnused())
            return T();
        Chain *e = it.node()->value;
        Q_ASSERT(e);
        T t = std::move(e->value);
        if (e->next) {
            it.node()->value = e->next;
            delete e;
        } else {
            // erase() deletes the values.
            d->erase(it);
        }
        --m_size;
        Q_ASSERT(m_size >= 0);
        return t;
    }

    bool contains(const Key &key) const noexcept
    {
        if (!d)
            return false;
        return d->findNode(key) != nullptr;
    }

    Key key(const T &value, const Key &defaultKey = Key()) const noexcept
    {
        if (d) {
            auto i = d->begin();
            while (i != d->end()) {
                Chain *e = i.node()->value;
                if (e->contains(value))
                    return i.node()->key;
                ++i;
            }
        }

        return defaultKey;
    }
    T value(const Key &key, const T &defaultValue = T()) const noexcept
    {
        if (d) {
            Node *n = d->findNode(key);
            if (n) {
                Q_ASSERT(n->value);
                return n->value->value;
            }
        }
        return defaultValue;
    }

    T &operator[](const Key &key)
    {
        detach();
        auto result = d->findOrInsert(key);
        Q_ASSERT(!result.it.atEnd());
        if (!result.initialized)
            Node::createInPlace(result.it.node(), key, T());
        return result.it.node()->value->value;
    }

    const T operator[](const Key &key) const noexcept
    {
        return value(key);
    }

    QVector<Key> uniqueKeys() const
    {
        QVector<Key> res;
        if (d) {
            auto i = d->begin();
            while (i != d->end()) {
                res.append(i.node()->key);
                ++i;
            }
        }
        return res;
    }

    QVector<Key> keys() const
    {
        return QVector<Key>(keyBegin(), keyEnd());
    }
    QVector<Key> keys(const T &value) const
    {
        QVector<Key> res;
        const_iterator i = begin();
        while (i != end()) {
            if (i.value()->contains(value))
                res.append(i.key());
            ++i;
        }
        return res;
    }
    QVector<T> values() const
    {
        return QVector<T>(begin(), end());
    }
    QVector<T> values(const Key &key) const
    {
        QVector<T> values;
        if (d) {
            Node *n = d->findNode(key);
            if (n) {
                Chain *e = n->value;
                while (e) {
                    values.append(e->value);
                    e = e->next;
                }
            }
        }
        return values;
    }

    class const_iterator;

    class iterator
    {
        using piter = typename QHashPrivate::iterator<Node>;
        friend class const_iterator;
        friend class QMultiHash<Key, T>;
        piter i;
        Chain **e = nullptr;
        explicit inline iterator(piter it, Chain **entry = nullptr) noexcept : i(it), e(entry)
        {
            if (!it.atEnd() && !e) {
                e = &it.node()->value;
                Q_ASSERT(e && *e);
            }
        }

    public:
        typedef std::forward_iterator_tag iterator_category;
        typedef qptrdiff difference_type;
        typedef T value_type;
        typedef T *pointer;
        typedef T &reference;

        constexpr iterator() noexcept = default;

        inline const Key &key() const noexcept { return i.node()->key; }
        inline T &value() const noexcept { return (*e)->value; }
        inline T &operator*() const noexcept { return (*e)->value; }
        inline T *operator->() const noexcept { return &(*e)->value; }
        inline bool operator==(const iterator &o) const noexcept { return e == o.e; }
        inline bool operator!=(const iterator &o) const noexcept { return e != o.e; }

        inline iterator &operator++() noexcept {
            Q_ASSERT(e && *e);
            e = &(*e)->next;
            Q_ASSERT(e);
            if (!*e) {
                ++i;
                e = i.atEnd() ? nullptr : &i.node()->value;
            }
            return *this;
        }
        inline iterator operator++(int) noexcept {
            iterator r = *this;
            ++(*this);
            return r;
        }

        inline bool operator==(const const_iterator &o) const noexcept { return e == o.e; }
        inline bool operator!=(const const_iterator &o) const noexcept { return e != o.e; }
    };
    friend class iterator;

    class const_iterator
    {
        using piter = typename QHashPrivate::iterator<Node>;
        friend class iterator;
        friend class QMultiHash<Key, T>;
        piter i;
        Chain **e = nullptr;
        explicit inline const_iterator(piter it, Chain **entry = nullptr) noexcept : i(it), e(entry)
        {
            if (!it.atEnd() && !e) {
                e = &it.node()->value;
                Q_ASSERT(e && *e);
            }
        }

    public:
        typedef std::forward_iterator_tag iterator_category;
        typedef qptrdiff difference_type;
        typedef T value_type;
        typedef const T *pointer;
        typedef const T &reference;

        constexpr const_iterator() noexcept = default;
        inline const_iterator(const iterator &o) noexcept : i(o.i), e(o.e) { }

        inline const Key &key() const noexcept { return i.node()->key; }
        inline T &value() const noexcept { return (*e)->value; }
        inline T &operator*() const noexcept { return (*e)->value; }
        inline T *operator->() const noexcept { return &(*e)->value; }
        inline bool operator==(const const_iterator &o) const noexcept { return e == o.e; }
        inline bool operator!=(const const_iterator &o) const noexcept { return e != o.e; }

        inline const_iterator &operator++() noexcept {
            Q_ASSERT(e && *e);
            e = &(*e)->next;
            Q_ASSERT(e);
            if (!*e) {
                ++i;
                e = i.atEnd() ? nullptr : &i.node()->value;
            }
            return *this;
        }
        inline const_iterator operator++(int) noexcept
        {
            const_iterator r = *this;
            ++(*this);
            return r;
        }
    };
    friend class const_iterator;

    class key_iterator
    {
        const_iterator i;

    public:
        typedef typename const_iterator::iterator_category iterator_category;
        typedef qptrdiff difference_type;
        typedef Key value_type;
        typedef const Key *pointer;
        typedef const Key &reference;

        key_iterator() noexcept = default;
        explicit key_iterator(const_iterator o) noexcept : i(o) { }

        const Key &operator*() const noexcept { return i.key(); }
        const Key *operator->() const noexcept { return &i.key(); }
        bool operator==(key_iterator o) const noexcept { return i == o.i; }
        bool operator!=(key_iterator o) const noexcept { return i != o.i; }

        inline key_iterator &operator++() noexcept { ++i; return *this; }
        inline key_iterator operator++(int) noexcept { return key_iterator(i++);}
        const_iterator base() const noexcept { return i; }
    };

    typedef QKeyValueIterator<const Key&, const T&, const_iterator> const_key_value_iterator;
    typedef QKeyValueIterator<const Key&, T&, iterator> key_value_iterator;

    // STL style
    inline iterator begin() { detach(); return iterator(d->begin()); }
    inline const_iterator begin() const noexcept { return d ? const_iterator(d->begin()): const_iterator(); }
    inline const_iterator cbegin() const noexcept { return d ? const_iterator(d->begin()): const_iterator(); }
    inline const_iterator constBegin() const noexcept { return d ? const_iterator(d->begin()): const_iterator(); }
    inline iterator end() noexcept { return iterator(); }
    inline const_iterator end() const noexcept { return const_iterator(); }
    inline const_iterator cend() const noexcept { return const_iterator(); }
    inline const_iterator constEnd() const noexcept { return const_iterator(); }
    inline key_iterator keyBegin() const noexcept { return key_iterator(begin()); }
    inline key_iterator keyEnd() const noexcept { return key_iterator(end()); }
    inline key_value_iterator keyValueBegin() noexcept { return key_value_iterator(begin()); }
    inline key_value_iterator keyValueEnd() noexcept { return key_value_iterator(end()); }
    inline const_key_value_iterator keyValueBegin() const noexcept { return const_key_value_iterator(begin()); }
    inline const_key_value_iterator constKeyValueBegin() const noexcept { return const_key_value_iterator(begin()); }
    inline const_key_value_iterator keyValueEnd() const noexcept { return const_key_value_iterator(end()); }
    inline const_key_value_iterator constKeyValueEnd() const noexcept { return const_key_value_iterator(end()); }

    iterator detach(const_iterator it)
    {
        auto i = it.i;
        Chain **e = it.e;
        if (d->ref.isShared()) {
            // need to store iterator position before detaching
            qsizetype n = 0;
            Chain *entry = i.node()->value;
            while (entry != *it.e) {
                ++n;
                entry = entry->next;
            }
            Q_ASSERT(entry);
            detach_helper();

            i = d->detachedIterator(i);
            e = &i.node()->value;
            while (n) {
                e = &(*e)->next;
                --n;
            }
            Q_ASSERT(e && *e);
        }
        return iterator(i, e);
    }

    iterator erase(const_iterator it)
    {
        Q_ASSERT(d);
        iterator i = detach(it);
        Chain *e = *i.e;
        Chain *next = e->next;
        *i.e = next;
        delete e;
        if (!next) {
            if (i.e == &i.i.node()->value) {
                // last remaining entry, erase
                i = iterator(d->erase(i.i));
            } else {
                i = iterator(++it.i);
            }
        }
        --m_size;
        Q_ASSERT(m_size >= 0);
        return i;
    }

    // more Qt
    typedef iterator Iterator;
    typedef const_iterator ConstIterator;
    inline qsizetype count() const noexcept { return size(); }
    iterator find(const Key &key)
    {
        if (isEmpty())
            return end();
        detach();
        auto it = d->find(key);
        if (it.isUnused())
            it = d->end();
        return iterator(it);
    }
    const_iterator find(const Key &key) const noexcept
    {
        return constFind(key);
    }
    const_iterator constFind(const Key &key) const noexcept
    {
        if (isEmpty())
            return end();
        auto it = d->find(key);
        if (it.isUnused())
            it = d->end();
        return const_iterator(it);
    }
    iterator insert(const Key &key, const T &value)
    {
        return emplace(key, value);
    }

    template <typename ...Args>
    iterator emplace(const Key &key, Args &&... args)
    {
        return emplace(Key(key), std::forward<Args>(args)...);
    }

    template <typename ...Args>
    iterator emplace(Key &&key, Args &&... args)
    {
        detach();

        auto result = d->findOrInsert(key);
        if (!result.initialized)
            Node::createInPlace(result.it.node(), std::move(key), std::forward<Args>(args)...);
        else
            result.it.node()->insertMulti(std::forward<Args>(args)...);
        ++m_size;
        return iterator(result.it);
    }


    float load_factor() const noexcept { return d ? d->loadFactor() : 0; }
    static float max_load_factor() noexcept { return 0.5; }
    size_t bucket_count() const noexcept { return d ? d->numBuckets : 0; }
    static size_t max_bucket_count() noexcept { return QHashPrivate::GrowthPolicy::maxNumBuckets(); }

    inline bool empty() const noexcept { return isEmpty(); }

    inline iterator replace(const Key &key, const T &value)
    {
        return emplaceReplace(key, value);
    }

    template <typename ...Args>
    iterator emplaceReplace(const Key &key, Args &&... args)
    {
        return emplaceReplace(Key(key), std::forward<Args>(args)...);
    }

    template <typename ...Args>
    iterator emplaceReplace(Key &&key, Args &&... args)
    {
        detach();

        auto result = d->findOrInsert(key);
        if (!result.initialized) {
            ++m_size;
            Node::createInPlace(result.it.node(), std::move(key), std::forward<Args>(args)...);
        } else {
            result.it.node()->emplaceValue(std::forward<Args>(args)...);
        }
        return iterator(result.it);
    }

    inline QMultiHash &operator+=(const QMultiHash &other)
    { this->unite(other); return *this; }
    inline QMultiHash operator+(const QMultiHash &other) const
    { QMultiHash result = *this; result += other; return result; }

    bool contains(const Key &key, const T &value) const noexcept
    {
        if (isEmpty())
            return false;
        auto n = d->findNode(key);
        if (n == nullptr)
            return false;
        return n->value->contains(value);
    }

    qsizetype remove(const Key &key, const T &value)
    {
        if (isEmpty()) // prevents detaching shared null
            return false;
        detach();

        auto it = d->find(key);
        if (it.isUnused())
            return 0;
        qsizetype n = 0;
        Chain **e = &it.node()->value;
        while (*e) {
            Chain *entry = *e;
            if (entry->value == value) {
                *e = entry->next;
                delete entry;
                ++n;
            } else {
                e = &entry->next;
            }
        }
        if (!it.node()->value)
            d->erase(it);
        m_size -= n;
        Q_ASSERT(m_size >= 0);
        return n;
    }

    qsizetype count(const Key &key) const noexcept
    {
        auto it = d->find(key);
        if (it.isUnused())
            return 0;
        qsizetype n = 0;
        Chain *e = it.node()->value;
        while (e) {
            ++n;
            e = e->next;
        }

        return n;
    }

    qsizetype count(const Key &key, const T &value) const noexcept
    {
        auto it = d->find(key);
        if (it.isUnused())
            return 0;
        qsizetype n = 0;
        Chain *e = it.node()->value;
        while (e) {
            if (e->value == value)
                ++n;
            e = e->next;
        }

        return n;
    }

    iterator find(const Key &key, const T &value)
    {
        detach();
        auto it = constFind(key, value);
        return iterator(it.i, it.e);
    }
    const_iterator find(const Key &key, const T &value) const noexcept
    {
        return constFind(key, value);
    }
    const_iterator constFind(const Key &key, const T &value) const noexcept
    {
        const_iterator i(constFind(key));
        const_iterator end(constEnd());
        while (i != end && i.key() == key) {
            if (i.value() == value)
                return i;
            ++i;
        }
        return end;
    }

    QMultiHash &unite(const QMultiHash &other)
    {
        if (isEmpty()) {
            *this = other;
        } else if (other.isEmpty()) {
            ;
        } else {
            QMultiHash copy(other);
            detach();
            for (auto cit = copy.cbegin(); cit != copy.cend(); ++cit)
                insert(cit.key(), *cit);
        }
        return *this;
    }

    QPair<iterator, iterator> equal_range(const Key &key)
    {
        detach();
        auto pair = qAsConst(*this).equal_range(key);
        return qMakePair(iterator(pair.first.i), iterator(pair.second.i));
    }

    QPair<const_iterator, const_iterator> equal_range(const Key &key) const noexcept
    {
        auto it = d->find(key);
        if (it.isUnused())
            return qMakePair(end(), end());
        auto end = it;
        ++end;
        return qMakePair(const_iterator(it), const_iterator(end));
    }

private:
    void detach_helper()
    {
        if (!d) {
            d = new Data;
            return;
        }
        Data *dd = new Data(*d);
        if (!d->ref.deref())
            delete d;
        d = dd;
    }
};

#if !defined(QT_NO_JAVA_STYLE_ITERATORS)
template<class Key, class T>
class QHashIterator
{
    typedef typename QHash<Key, T>::const_iterator const_iterator;
    typedef const_iterator Item;
    QHash<Key, T> c;
    const_iterator i, n;
    inline bool item_exists() const noexcept { return n != c.constEnd(); }

public:
    inline QHashIterator(const QHash<Key, T> &container) noexcept
        : c(container), i(c.constBegin()), n(c.constEnd())
    { }
    inline QHashIterator &operator=(const QHash<Key, T> &container) noexcept
    {
        c = container;
        i = c.constBegin();
        n = c.constEnd();
        return *this;
    }
    inline void toFront() noexcept
    {
        i = c.constBegin();
        n = c.constEnd();
    }
    inline void toBack() noexcept
    {
        i = c.constEnd();
        n = c.constEnd();
    }
    inline bool hasNext() const noexcept { return i != c.constEnd(); }
    inline Item next() noexcept
    {
        n = i++;
        return n;
    }
    inline Item peekNext() const noexcept { return i; }
    inline const T &value() const noexcept
    {
        Q_ASSERT(item_exists());
        return *n;
    }
    inline const Key &key() const noexcept
    {
        Q_ASSERT(item_exists());
        return n.key();
    }
    inline bool findNext(const T &t) noexcept
    {
        while ((n = i) != c.constEnd())
            if (*i++ == t)
                return true;
        return false;
    }
};

template<class Key, class T>
class QMutableHashIterator
{
    typedef typename QHash<Key, T>::iterator iterator;
    typedef typename QHash<Key, T>::const_iterator const_iterator;
    typedef iterator Item;
    QHash<Key, T> *c;
    iterator i, n;
    inline bool item_exists() const noexcept { return const_iterator(n) != c->constEnd(); }

public:
    inline QMutableHashIterator(QHash<Key, T> &container)
        : c(&container)
    {
        i = c->begin();
        n = c->end();
    }
    inline QMutableHashIterator &operator=(QHash<Key, T> &container)
    {
        c = &container;
        i = c->begin();
        n = c->end();
        return *this;
    }
    inline void toFront()
    {
        i = c->begin();
        n = c->end();
    }
    inline void toBack() noexcept
    {
        i = c->end();
        n = c->end();
    }
    inline bool hasNext() const noexcept { return const_iterator(i) != c->constEnd(); }
    inline Item next() noexcept
    {
        n = i++;
        return n;
    }
    inline Item peekNext() const noexcept { return i; }
    inline void remove()
    {
        if (const_iterator(n) != c->constEnd()) {
            i = c->erase(n);
            n = c->end();
        }
    }
    inline void setValue(const T &t)
    {
        if (const_iterator(n) != c->constEnd())
            *n = t;
    }
    inline T &value() noexcept
    {
        Q_ASSERT(item_exists());
        return *n;
    }
    inline const T &value() const noexcept
    {
        Q_ASSERT(item_exists());
        return *n;
    }
    inline const Key &key() const noexcept
    {
        Q_ASSERT(item_exists());
        return n.key();
    }
    inline bool findNext(const T &t) noexcept
    {
        while (const_iterator(n = i) != c->constEnd())
            if (*i++ == t)
                return true;
        return false;
    }
};
#endif // !QT_NO_JAVA_STYLE_ITERATORS

template <class Key, class T>
size_t qHash(const QHash<Key, T> &key, size_t seed = 0)
    noexcept(noexcept(qHash(std::declval<Key&>())) && noexcept(qHash(std::declval<T&>())))
{
    QtPrivate::QHashCombineCommutative hash;
    for (auto it = key.begin(), end = key.end(); it != end; ++it) {
        const Key &k = it.key();
        const T   &v = it.value();
        seed = hash(seed, std::pair<const Key&, const T&>(k, v));
    }
    return seed;
}

template <class Key, class T>
inline size_t qHash(const QMultiHash<Key, T> &key, size_t seed = 0)
    noexcept(noexcept(qHash(std::declval<Key&>())) && noexcept(qHash(std::declval<T&>())))
{
    const QHash<Key, T> &key2 = key;
    return qHash(key2, seed);
}

QT_END_NAMESPACE

#endif // QHASH_H