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
|
// -*- C++ -*-
// Copyright (C) 2005-2019 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) 2004 Ami Tavory and Vladimir Dreizin, IBM-HRL.
// Permission to use, copy, modify, sell, and distribute this software
// is hereby granted without fee, provided that the above copyright
// notice appears in all copies, and that both that copyright notice
// and this permission notice appear in supporting documentation. None
// of the above authors, nor IBM Haifa Research Laboratories, make any
// representation about the suitability of this software for any
// purpose. It is provided "as is" without express or implied
// warranty.
/**
* @file binary_heap_/binary_heap_.hpp
* Contains an implementation class for a binary heap.
*/
#ifndef PB_DS_BINARY_HEAP_HPP
#define PB_DS_BINARY_HEAP_HPP
#include <queue>
#include <algorithm>
#include <ext/pb_ds/detail/cond_dealtor.hpp>
#include <ext/pb_ds/detail/cond_dealtor.hpp>
#include <ext/pb_ds/detail/type_utils.hpp>
#include <ext/pb_ds/detail/binary_heap_/entry_cmp.hpp>
#include <ext/pb_ds/detail/binary_heap_/entry_pred.hpp>
#include <ext/pb_ds/detail/binary_heap_/resize_policy.hpp>
#include <ext/pb_ds/detail/binary_heap_/point_const_iterator.hpp>
#include <ext/pb_ds/detail/binary_heap_/const_iterator.hpp>
#ifdef PB_DS_BINARY_HEAP_TRACE_
#include <iostream>
#endif
#include <ext/pb_ds/detail/type_utils.hpp>
#include <debug/debug.h>
namespace __gnu_pbds
{
namespace detail
{
#define PB_DS_CLASS_T_DEC \
template<typename Value_Type, typename Cmp_Fn, typename _Alloc>
#define PB_DS_CLASS_C_DEC \
binary_heap<Value_Type, Cmp_Fn, _Alloc>
#define PB_DS_ENTRY_CMP_DEC \
entry_cmp<Value_Type, Cmp_Fn, _Alloc, is_simple<Value_Type>::value>::type
#define PB_DS_RESIZE_POLICY_DEC \
__gnu_pbds::detail::resize_policy<typename _Alloc::size_type>
/**
* Binary heaps composed of resize and compare policies.
*
* @ingroup heap-detail
*
* Based on CLRS.
*/
template<typename Value_Type, typename Cmp_Fn, typename _Alloc>
class binary_heap
: public PB_DS_ENTRY_CMP_DEC, public PB_DS_RESIZE_POLICY_DEC
{
public:
typedef Value_Type value_type;
typedef Cmp_Fn cmp_fn;
typedef _Alloc allocator_type;
typedef typename _Alloc::size_type size_type;
typedef typename _Alloc::difference_type difference_type;
typedef typename PB_DS_ENTRY_CMP_DEC entry_cmp;
typedef PB_DS_RESIZE_POLICY_DEC resize_policy;
typedef cond_dealtor<value_type, _Alloc> cond_dealtor_t;
private:
enum
{
simple_value = is_simple<value_type>::value
};
typedef integral_constant<int, simple_value> no_throw_copies_t;
typedef typename _Alloc::template rebind<value_type> __rebind_v;
typedef typename __rebind_v::other value_allocator;
public:
typedef typename value_allocator::pointer pointer;
typedef typename value_allocator::const_pointer const_pointer;
typedef typename value_allocator::reference reference;
typedef typename value_allocator::const_reference const_reference;
typedef typename __conditional_type<simple_value,
value_type, pointer>::__type
entry;
typedef typename _Alloc::template rebind<entry>::other
entry_allocator;
typedef typename entry_allocator::pointer entry_pointer;
typedef binary_heap_point_const_iterator_<value_type, entry,
simple_value, _Alloc>
point_const_iterator;
typedef point_const_iterator point_iterator;
typedef binary_heap_const_iterator_<value_type, entry,
simple_value, _Alloc>
const_iterator;
typedef const_iterator iterator;
binary_heap();
binary_heap(const cmp_fn&);
binary_heap(const binary_heap&);
void
swap(binary_heap&);
~binary_heap();
inline bool
empty() const;
inline size_type
size() const;
inline size_type
max_size() const;
Cmp_Fn&
get_cmp_fn();
const Cmp_Fn&
get_cmp_fn() const;
inline point_iterator
push(const_reference);
void
modify(point_iterator, const_reference);
inline const_reference
top() const;
inline void
pop();
inline void
erase(point_iterator);
template<typename Pred>
size_type
erase_if(Pred);
inline void
erase_at(entry_pointer, size_type, false_type);
inline void
erase_at(entry_pointer, size_type, true_type);
inline iterator
begin();
inline const_iterator
begin() const;
inline iterator
end();
inline const_iterator
end() const;
void
clear();
template<typename Pred>
void
split(Pred, binary_heap&);
void
join(binary_heap&);
#ifdef PB_DS_BINARY_HEAP_TRACE_
void
trace() const;
#endif
protected:
template<typename It>
void
copy_from_range(It, It);
private:
void
value_swap(binary_heap&);
inline void
insert_value(const_reference, false_type);
inline void
insert_value(value_type, true_type);
inline void
resize_for_insert_if_needed();
inline void
swap_value_imp(entry_pointer, value_type, true_type);
inline void
swap_value_imp(entry_pointer, const_reference, false_type);
void
fix(entry_pointer);
inline const_reference
top_imp(true_type) const;
inline const_reference
top_imp(false_type) const;
inline static size_type
left_child(size_type);
inline static size_type
right_child(size_type);
inline static size_type
parent(size_type);
inline void
resize_for_erase_if_needed();
template<typename Pred>
size_type
partition(Pred);
void
make_heap()
{
const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);
entry_pointer end = m_a_entries + m_size;
std::make_heap(m_a_entries, end, m_cmp);
}
void
push_heap()
{
const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);
entry_pointer end = m_a_entries + m_size;
std::push_heap(m_a_entries, end, m_cmp);
}
void
pop_heap()
{
const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);
entry_pointer end = m_a_entries + m_size;
std::pop_heap(m_a_entries, end, m_cmp);
}
#ifdef _GLIBCXX_DEBUG
void
assert_valid(const char*, int) const;
#endif
#ifdef PB_DS_BINARY_HEAP_TRACE_
void
trace_entry(const entry&, false_type) const;
void
trace_entry(const entry&, true_type) const;
#endif
static entry_allocator s_entry_allocator;
static value_allocator s_value_allocator;
static no_throw_copies_t s_no_throw_copies_ind;
size_type m_size;
size_type m_actual_size;
entry_pointer m_a_entries;
};
#define PB_DS_ASSERT_VALID(X) \
_GLIBCXX_DEBUG_ONLY(X.assert_valid(__FILE__, __LINE__);)
#define PB_DS_DEBUG_VERIFY(_Cond) \
_GLIBCXX_DEBUG_VERIFY_AT(_Cond, \
_M_message(#_Cond" assertion from %1;:%2;") \
._M_string(__FILE__)._M_integer(__LINE__) \
,__file,__line)
#include <ext/pb_ds/detail/binary_heap_/insert_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/constructors_destructor_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/iterators_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/debug_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/trace_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/erase_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/info_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/find_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/split_join_fn_imps.hpp>
#include <ext/pb_ds/detail/binary_heap_/policy_access_fn_imps.hpp>
#undef PB_DS_CLASS_C_DEC
#undef PB_DS_CLASS_T_DEC
#undef PB_DS_ENTRY_CMP_DEC
#undef PB_DS_RESIZE_POLICY_DEC
} // namespace detail
} // namespace __gnu_pbds
#endif
|
