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
|
// Heap implementation -*- C++ -*-
// Copyright (C) 2001-2013 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library. This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.
/*
*
* Copyright (c) 1994
* Hewlett-Packard Company
*
* Permission to use, copy, modify, distribute and sell this software
* and its documentation for any purpose is hereby granted without fee,
* provided that the above copyright notice appear in all copies and
* that both that copyright notice and this permission notice appear
* in supporting documentation. Hewlett-Packard Company makes no
* representations about the suitability of this software for any
* purpose. It is provided "as is" without express or implied warranty.
*
* Copyright (c) 1997
* Silicon Graphics Computer Systems, Inc.
*
* Permission to use, copy, modify, distribute and sell this software
* and its documentation for any purpose is hereby granted without fee,
* provided that the above copyright notice appear in all copies and
* that both that copyright notice and this permission notice appear
* in supporting documentation. Silicon Graphics makes no
* representations about the suitability of this software for any
* purpose. It is provided "as is" without express or implied warranty.
*/
/** @file bits/stl_heap.h
* This is an internal header file, included by other library headers.
* Do not attempt to use it directly. @headername{queue}
*/
#ifndef _STL_HEAP_H
#define _STL_HEAP_H 1
#include <debug/debug.h>
#include <bits/move.h>
namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
/**
* @defgroup heap_algorithms Heap
* @ingroup sorting_algorithms
*/
template<typename _RandomAccessIterator, typename _Distance>
_Distance
__is_heap_until(_RandomAccessIterator __first, _Distance __n)
{
_Distance __parent = 0;
for (_Distance __child = 1; __child < __n; ++__child)
{
if (__first[__parent] < __first[__child])
return __child;
if ((__child & 1) == 0)
++__parent;
}
return __n;
}
template<typename _RandomAccessIterator, typename _Distance,
typename _Compare>
_Distance
__is_heap_until(_RandomAccessIterator __first, _Distance __n,
_Compare __comp)
{
_Distance __parent = 0;
for (_Distance __child = 1; __child < __n; ++__child)
{
if (__comp(__first[__parent], __first[__child]))
return __child;
if ((__child & 1) == 0)
++__parent;
}
return __n;
}
// __is_heap, a predicate testing whether or not a range is a heap.
// This function is an extension, not part of the C++ standard.
template<typename _RandomAccessIterator, typename _Distance>
inline bool
__is_heap(_RandomAccessIterator __first, _Distance __n)
{ return std::__is_heap_until(__first, __n) == __n; }
template<typename _RandomAccessIterator, typename _Compare,
typename _Distance>
inline bool
__is_heap(_RandomAccessIterator __first, _Compare __comp, _Distance __n)
{ return std::__is_heap_until(__first, __n, __comp) == __n; }
template<typename _RandomAccessIterator>
inline bool
__is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{ return std::__is_heap(__first, std::distance(__first, __last)); }
template<typename _RandomAccessIterator, typename _Compare>
inline bool
__is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{ return std::__is_heap(__first, __comp, std::distance(__first, __last)); }
// Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap,
// + is_heap and is_heap_until in C++0x.
template<typename _RandomAccessIterator, typename _Distance, typename _Tp>
void
__push_heap(_RandomAccessIterator __first,
_Distance __holeIndex, _Distance __topIndex, _Tp __value)
{
_Distance __parent = (__holeIndex - 1) / 2;
while (__holeIndex > __topIndex && *(__first + __parent) < __value)
{
*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __parent));
__holeIndex = __parent;
__parent = (__holeIndex - 1) / 2;
}
*(__first + __holeIndex) = _GLIBCXX_MOVE(__value);
}
/**
* @brief Push an element onto a heap.
* @param __first Start of heap.
* @param __last End of heap + element.
* @ingroup heap_algorithms
*
* This operation pushes the element at last-1 onto the valid heap
* over the range [__first,__last-1). After completion,
* [__first,__last) is a valid heap.
*/
template<typename _RandomAccessIterator>
inline void
push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
typedef typename iterator_traits<_RandomAccessIterator>::difference_type
_DistanceType;
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_function_requires(_LessThanComparableConcept<_ValueType>)
__glibcxx_requires_valid_range(__first, __last);
__glibcxx_requires_heap(__first, __last - 1);
_ValueType __value = _GLIBCXX_MOVE(*(__last - 1));
std::__push_heap(__first, _DistanceType((__last - __first) - 1),
_DistanceType(0), _GLIBCXX_MOVE(__value));
}
template<typename _RandomAccessIterator, typename _Distance, typename _Tp,
typename _Compare>
void
__push_heap(_RandomAccessIterator __first, _Distance __holeIndex,
_Distance __topIndex, _Tp __value, _Compare __comp)
{
_Distance __parent = (__holeIndex - 1) / 2;
while (__holeIndex > __topIndex
&& __comp(*(__first + __parent), __value))
{
*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __parent));
__holeIndex = __parent;
__parent = (__holeIndex - 1) / 2;
}
*(__first + __holeIndex) = _GLIBCXX_MOVE(__value);
}
/**
* @brief Push an element onto a heap using comparison functor.
* @param __first Start of heap.
* @param __last End of heap + element.
* @param __comp Comparison functor.
* @ingroup heap_algorithms
*
* This operation pushes the element at __last-1 onto the valid
* heap over the range [__first,__last-1). After completion,
* [__first,__last) is a valid heap. Compare operations are
* performed using comp.
*/
template<typename _RandomAccessIterator, typename _Compare>
inline void
push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
typedef typename iterator_traits<_RandomAccessIterator>::difference_type
_DistanceType;
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_requires_valid_range(__first, __last);
__glibcxx_requires_heap_pred(__first, __last - 1, __comp);
_ValueType __value = _GLIBCXX_MOVE(*(__last - 1));
std::__push_heap(__first, _DistanceType((__last - __first) - 1),
_DistanceType(0), _GLIBCXX_MOVE(__value), __comp);
}
template<typename _RandomAccessIterator, typename _Distance, typename _Tp>
void
__adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
_Distance __len, _Tp __value)
{
const _Distance __topIndex = __holeIndex;
_Distance __secondChild = __holeIndex;
while (__secondChild < (__len - 1) / 2)
{
__secondChild = 2 * (__secondChild + 1);
if (*(__first + __secondChild) < *(__first + (__secondChild - 1)))
__secondChild--;
*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __secondChild));
__holeIndex = __secondChild;
}
if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
{
__secondChild = 2 * (__secondChild + 1);
*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first
+ (__secondChild - 1)));
__holeIndex = __secondChild - 1;
}
std::__push_heap(__first, __holeIndex, __topIndex,
_GLIBCXX_MOVE(__value));
}
template<typename _RandomAccessIterator>
inline void
__pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_RandomAccessIterator __result)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
typedef typename iterator_traits<_RandomAccessIterator>::difference_type
_DistanceType;
_ValueType __value = _GLIBCXX_MOVE(*__result);
*__result = _GLIBCXX_MOVE(*__first);
std::__adjust_heap(__first, _DistanceType(0),
_DistanceType(__last - __first),
_GLIBCXX_MOVE(__value));
}
/**
* @brief Pop an element off a heap.
* @param __first Start of heap.
* @param __last End of heap.
* @pre [__first, __last) is a valid, non-empty range.
* @ingroup heap_algorithms
*
* This operation pops the top of the heap. The elements __first
* and __last-1 are swapped and [__first,__last-1) is made into a
* heap.
*/
template<typename _RandomAccessIterator>
inline void
pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_function_requires(_LessThanComparableConcept<_ValueType>)
__glibcxx_requires_non_empty_range(__first, __last);
__glibcxx_requires_valid_range(__first, __last);
__glibcxx_requires_heap(__first, __last);
--__last;
std::__pop_heap(__first, __last, __last);
}
template<typename _RandomAccessIterator, typename _Distance,
typename _Tp, typename _Compare>
void
__adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
_Distance __len, _Tp __value, _Compare __comp)
{
const _Distance __topIndex = __holeIndex;
_Distance __secondChild = __holeIndex;
while (__secondChild < (__len - 1) / 2)
{
__secondChild = 2 * (__secondChild + 1);
if (__comp(*(__first + __secondChild),
*(__first + (__secondChild - 1))))
__secondChild--;
*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __secondChild));
__holeIndex = __secondChild;
}
if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
{
__secondChild = 2 * (__secondChild + 1);
*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first
+ (__secondChild - 1)));
__holeIndex = __secondChild - 1;
}
std::__push_heap(__first, __holeIndex, __topIndex,
_GLIBCXX_MOVE(__value), __comp);
}
template<typename _RandomAccessIterator, typename _Compare>
inline void
__pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_RandomAccessIterator __result, _Compare __comp)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
typedef typename iterator_traits<_RandomAccessIterator>::difference_type
_DistanceType;
_ValueType __value = _GLIBCXX_MOVE(*__result);
*__result = _GLIBCXX_MOVE(*__first);
std::__adjust_heap(__first, _DistanceType(0),
_DistanceType(__last - __first),
_GLIBCXX_MOVE(__value), __comp);
}
/**
* @brief Pop an element off a heap using comparison functor.
* @param __first Start of heap.
* @param __last End of heap.
* @param __comp Comparison functor to use.
* @ingroup heap_algorithms
*
* This operation pops the top of the heap. The elements __first
* and __last-1 are swapped and [__first,__last-1) is made into a
* heap. Comparisons are made using comp.
*/
template<typename _RandomAccessIterator, typename _Compare>
inline void
pop_heap(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Compare __comp)
{
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_requires_valid_range(__first, __last);
__glibcxx_requires_non_empty_range(__first, __last);
__glibcxx_requires_heap_pred(__first, __last, __comp);
--__last;
std::__pop_heap(__first, __last, __last, __comp);
}
/**
* @brief Construct a heap over a range.
* @param __first Start of heap.
* @param __last End of heap.
* @ingroup heap_algorithms
*
* This operation makes the elements in [__first,__last) into a heap.
*/
template<typename _RandomAccessIterator>
void
make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
typedef typename iterator_traits<_RandomAccessIterator>::difference_type
_DistanceType;
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_function_requires(_LessThanComparableConcept<_ValueType>)
__glibcxx_requires_valid_range(__first, __last);
if (__last - __first < 2)
return;
const _DistanceType __len = __last - __first;
_DistanceType __parent = (__len - 2) / 2;
while (true)
{
_ValueType __value = _GLIBCXX_MOVE(*(__first + __parent));
std::__adjust_heap(__first, __parent, __len, _GLIBCXX_MOVE(__value));
if (__parent == 0)
return;
__parent--;
}
}
/**
* @brief Construct a heap over a range using comparison functor.
* @param __first Start of heap.
* @param __last End of heap.
* @param __comp Comparison functor to use.
* @ingroup heap_algorithms
*
* This operation makes the elements in [__first,__last) into a heap.
* Comparisons are made using __comp.
*/
template<typename _RandomAccessIterator, typename _Compare>
void
make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{
typedef typename iterator_traits<_RandomAccessIterator>::value_type
_ValueType;
typedef typename iterator_traits<_RandomAccessIterator>::difference_type
_DistanceType;
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_requires_valid_range(__first, __last);
if (__last - __first < 2)
return;
const _DistanceType __len = __last - __first;
_DistanceType __parent = (__len - 2) / 2;
while (true)
{
_ValueType __value = _GLIBCXX_MOVE(*(__first + __parent));
std::__adjust_heap(__first, __parent, __len, _GLIBCXX_MOVE(__value),
__comp);
if (__parent == 0)
return;
__parent--;
}
}
/**
* @brief Sort a heap.
* @param __first Start of heap.
* @param __last End of heap.
* @ingroup heap_algorithms
*
* This operation sorts the valid heap in the range [__first,__last).
*/
template<typename _RandomAccessIterator>
void
sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_function_requires(_LessThanComparableConcept<
typename iterator_traits<_RandomAccessIterator>::value_type>)
__glibcxx_requires_valid_range(__first, __last);
__glibcxx_requires_heap(__first, __last);
while (__last - __first > 1)
{
--__last;
std::__pop_heap(__first, __last, __last);
}
}
/**
* @brief Sort a heap using comparison functor.
* @param __first Start of heap.
* @param __last End of heap.
* @param __comp Comparison functor to use.
* @ingroup heap_algorithms
*
* This operation sorts the valid heap in the range [__first,__last).
* Comparisons are made using __comp.
*/
template<typename _RandomAccessIterator, typename _Compare>
void
sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{
// concept requirements
__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_requires_valid_range(__first, __last);
__glibcxx_requires_heap_pred(__first, __last, __comp);
while (__last - __first > 1)
{
--__last;
std::__pop_heap(__first, __last, __last, __comp);
}
}
#if __cplusplus >= 201103L
/**
* @brief Search the end of a heap.
* @param __first Start of range.
* @param __last End of range.
* @return An iterator pointing to the first element not in the heap.
* @ingroup heap_algorithms
*
* This operation returns the last iterator i in [__first, __last) for which
* the range [__first, i) is a heap.
*/
template<typename _RandomAccessIterator>
inline _RandomAccessIterator
is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
// concept requirements
__glibcxx_function_requires(_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_function_requires(_LessThanComparableConcept<
typename iterator_traits<_RandomAccessIterator>::value_type>)
__glibcxx_requires_valid_range(__first, __last);
return __first + std::__is_heap_until(__first, std::distance(__first,
__last));
}
/**
* @brief Search the end of a heap using comparison functor.
* @param __first Start of range.
* @param __last End of range.
* @param __comp Comparison functor to use.
* @return An iterator pointing to the first element not in the heap.
* @ingroup heap_algorithms
*
* This operation returns the last iterator i in [__first, __last) for which
* the range [__first, i) is a heap. Comparisons are made using __comp.
*/
template<typename _RandomAccessIterator, typename _Compare>
inline _RandomAccessIterator
is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{
// concept requirements
__glibcxx_function_requires(_RandomAccessIteratorConcept<
_RandomAccessIterator>)
__glibcxx_requires_valid_range(__first, __last);
return __first + std::__is_heap_until(__first, std::distance(__first,
__last),
__comp);
}
/**
* @brief Determines whether a range is a heap.
* @param __first Start of range.
* @param __last End of range.
* @return True if range is a heap, false otherwise.
* @ingroup heap_algorithms
*/
template<typename _RandomAccessIterator>
inline bool
is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{ return std::is_heap_until(__first, __last) == __last; }
/**
* @brief Determines whether a range is a heap using comparison functor.
* @param __first Start of range.
* @param __last End of range.
* @param __comp Comparison functor to use.
* @return True if range is a heap, false otherwise.
* @ingroup heap_algorithms
*/
template<typename _RandomAccessIterator, typename _Compare>
inline bool
is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{ return std::is_heap_until(__first, __last, __comp) == __last; }
#endif
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace
#endif /* _STL_HEAP_H */
|