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1 // -*- C++ -*-
2
3 // Copyright (C) 2005-2016 Free Software Foundation, Inc.
4 //
5 // This file is part of the GNU ISO C++ Library. This library is free
6 // software; you can redistribute it and/or modify it under the terms
7 // of the GNU General Public License as published by the Free Software
8 // Foundation; either version 3, or (at your option) any later
9 // version.
10
11 // This library is distributed in the hope that it will be useful, but
12 // WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // General Public License for more details.
15
16 // Under Section 7 of GPL version 3, you are granted additional
17 // permissions described in the GCC Runtime Library Exception, version
18 // 3.1, as published by the Free Software Foundation.
19
20 // You should have received a copy of the GNU General Public License and
21 // a copy of the GCC Runtime Library Exception along with this program;
22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
23 // <http://www.gnu.org/licenses/>.
24
25 // Copyright (C) 2004 Ami Tavory and Vladimir Dreizin, IBM-HRL.
26
27 // Permission to use, copy, modify, sell, and distribute this software
28 // is hereby granted without fee, provided that the above copyright
29 // notice appears in all copies, and that both that copyright notice
30 // and this permission notice appear in supporting documentation. None
31 // of the above authors, nor IBM Haifa Research Laboratories, make any
32 // representation about the suitability of this software for any
33 // purpose. It is provided "as is" without express or implied
34 // warranty.
35
36 /**
37 * @file bin_search_tree_/bin_search_tree_.hpp
38 * Contains an implementation class for binary search tree.
39 */
40
41 #include <ext/pb_ds/exception.hpp>
42 #include <ext/pb_ds/tree_policy.hpp>
43 #include <ext/pb_ds/detail/eq_fn/eq_by_less.hpp>
44 #include <ext/pb_ds/detail/types_traits.hpp>
45 #include <ext/pb_ds/detail/cond_dealtor.hpp>
46 #include <ext/pb_ds/detail/type_utils.hpp>
47 #include <ext/pb_ds/detail/tree_trace_base.hpp>
48 #ifdef _GLIBCXX_DEBUG
49 #include <ext/pb_ds/detail/debug_map_base.hpp>
50 #endif
51 #include <utility>
52 #include <functional>
53 #include <debug/debug.h>
54
55 namespace __gnu_pbds
56 {
57 namespace detail
58 {
59 #ifdef PB_DS_DATA_TRUE_INDICATOR
60 #define PB_DS_BIN_TREE_NAME bin_search_tree_map
61 #endif
62
63 #ifdef PB_DS_DATA_FALSE_INDICATOR
64 #define PB_DS_BIN_TREE_NAME bin_search_tree_set
65 #endif
66
67 #define PB_DS_CLASS_T_DEC \
68 template<typename Key, typename Mapped, typename Cmp_Fn, \
69 typename Node_And_It_Traits, typename _Alloc>
70
71 #define PB_DS_CLASS_C_DEC \
72 PB_DS_BIN_TREE_NAME<Key, Mapped, Cmp_Fn, Node_And_It_Traits, _Alloc>
73
74 #define PB_DS_BIN_TREE_TRAITS_BASE \
75 types_traits<Key, Mapped, _Alloc, false>
76
77 #ifdef _GLIBCXX_DEBUG
78 #define PB_DS_DEBUG_MAP_BASE_C_DEC \
79 debug_map_base<Key, eq_by_less<Key, Cmp_Fn>, \
80 typename _Alloc::template rebind<Key>::other::const_reference>
81 #endif
82
83 #ifdef PB_DS_TREE_TRACE
84 #define PB_DS_TREE_TRACE_BASE_C_DEC \
85 tree_trace_base<typename Node_And_It_Traits::node_const_iterator, \
86 typename Node_And_It_Traits::node_iterator, \
87 Cmp_Fn, true, _Alloc>
88 #endif
89
90
91 /*
92 * @brief Binary search tree (BST).
93 *
94 * This implementation uses an idea from the SGI STL (using a @a
95 * header node which is needed for efficient iteration).
96 */
97 template<typename Key, typename Mapped, typename Cmp_Fn,
98 typename Node_And_It_Traits, typename _Alloc>
99 class PB_DS_BIN_TREE_NAME :
100 #ifdef _GLIBCXX_DEBUG
101 public PB_DS_DEBUG_MAP_BASE_C_DEC,
102 #endif
103 #ifdef PB_DS_TREE_TRACE
104 public PB_DS_TREE_TRACE_BASE_C_DEC,
105 #endif
106 public Cmp_Fn,
107 public PB_DS_BIN_TREE_TRAITS_BASE,
108 public Node_And_It_Traits::node_update
109 {
110 typedef Node_And_It_Traits traits_type;
111
112 protected:
113 typedef PB_DS_BIN_TREE_TRAITS_BASE traits_base;
114
115 typedef
116 typename _Alloc::template rebind<typename traits_type::node>::other
117 node_allocator;
118
119 typedef typename node_allocator::value_type node;
120 typedef typename node_allocator::pointer node_pointer;
121
122 typedef typename traits_type::null_node_update_pointer
123 null_node_update_pointer;
124
125 private:
126 typedef cond_dealtor<node, _Alloc> cond_dealtor_t;
127
128 #ifdef _GLIBCXX_DEBUG
129 typedef PB_DS_DEBUG_MAP_BASE_C_DEC debug_base;
130 #endif
131
132 public:
133 typedef typename _Alloc::size_type size_type;
134 typedef typename _Alloc::difference_type difference_type;
135 typedef typename traits_base::key_type key_type;
136 typedef typename traits_base::key_pointer key_pointer;
137 typedef typename traits_base::key_const_pointer key_const_pointer;
138 typedef typename traits_base::key_reference key_reference;
139 typedef typename traits_base::key_const_reference key_const_reference;
140
141 #ifdef PB_DS_DATA_TRUE_INDICATOR
142 typedef typename traits_base::mapped_type mapped_type;
143 typedef typename traits_base::mapped_pointer mapped_pointer;
144 typedef typename traits_base::mapped_const_pointer mapped_const_pointer;
145 typedef typename traits_base::mapped_reference mapped_reference;
146 typedef typename traits_base::mapped_const_reference mapped_const_reference;
147 #endif
148
149 typedef typename traits_base::value_type value_type;
150 typedef typename traits_base::pointer pointer;
151 typedef typename traits_base::const_pointer const_pointer;
152 typedef typename traits_base::reference reference;
153 typedef typename traits_base::const_reference const_reference;
154 typedef typename traits_type::point_const_iterator point_const_iterator;
155
156 typedef point_const_iterator const_iterator;
157 typedef typename traits_type::point_iterator point_iterator;
158 typedef point_iterator iterator;
159
160 typedef typename traits_type::const_reverse_iterator const_reverse_iterator;
161
162 typedef typename traits_type::reverse_iterator reverse_iterator;
163 typedef typename traits_type::node_const_iterator node_const_iterator;
164 typedef typename traits_type::node_iterator node_iterator;
165 typedef typename traits_type::node_update node_update;
166
167 typedef Cmp_Fn cmp_fn;
168 typedef _Alloc allocator_type;
169
170 PB_DS_BIN_TREE_NAME();
171
172 PB_DS_BIN_TREE_NAME(const Cmp_Fn&);
173
174 PB_DS_BIN_TREE_NAME(const Cmp_Fn&, const node_update&);
175
176 PB_DS_BIN_TREE_NAME(const PB_DS_CLASS_C_DEC&);
177
178 void
179 swap(PB_DS_CLASS_C_DEC&);
180
181 ~PB_DS_BIN_TREE_NAME();
182
183 inline bool
184 empty() const;
185
186 inline size_type
187 size() const;
188
189 inline size_type
190 max_size() const;
191
192 Cmp_Fn&
193 get_cmp_fn();
194
195 const Cmp_Fn&
196 get_cmp_fn() const;
197
198 inline point_iterator
199 lower_bound(key_const_reference);
200
201 inline point_const_iterator
202 lower_bound(key_const_reference) const;
203
204 inline point_iterator
205 upper_bound(key_const_reference);
206
207 inline point_const_iterator
208 upper_bound(key_const_reference) const;
209
210 inline point_iterator
211 find(key_const_reference);
212
213 inline point_const_iterator
214 find(key_const_reference) const;
215
216 inline iterator
217 begin();
218
219 inline const_iterator
220 begin() const;
221
222 inline iterator
223 end();
224
225 inline const_iterator
226 end() const;
227
228 inline reverse_iterator
229 rbegin();
230
231 inline const_reverse_iterator
232 rbegin() const;
233
234 inline reverse_iterator
235 rend();
236
237 inline const_reverse_iterator
238 rend() const;
239
240 /// Returns a const node_iterator corresponding to the node at the
241 /// root of the tree.
242 inline node_const_iterator
243 node_begin() const;
244
245 /// Returns a node_iterator corresponding to the node at the
246 /// root of the tree.
247 inline node_iterator
248 node_begin();
249
250 /// Returns a const node_iterator corresponding to a node just
251 /// after a leaf of the tree.
252 inline node_const_iterator
253 node_end() const;
254
255 /// Returns a node_iterator corresponding to a node just
256 /// after a leaf of the tree.
257 inline node_iterator
258 node_end();
259
260 void
261 clear();
262
263 protected:
264 void
265 value_swap(PB_DS_CLASS_C_DEC&);
266
267 void
268 initialize_min_max();
269
270 inline iterator
271 insert_imp_empty(const_reference);
272
273 inline iterator
274 insert_leaf_new(const_reference, node_pointer, bool);
275
276 inline node_pointer
277 get_new_node_for_leaf_insert(const_reference, false_type);
278
279 inline node_pointer
280 get_new_node_for_leaf_insert(const_reference, true_type);
281
282 inline void
283 actual_erase_node(node_pointer);
284
285 inline std::pair<node_pointer, bool>
286 erase(node_pointer);
287
288 inline void
289 update_min_max_for_erased_node(node_pointer);
290
291 static void
292 clear_imp(node_pointer);
293
294 inline std::pair<point_iterator, bool>
295 insert_leaf(const_reference);
296
297 inline void
298 rotate_left(node_pointer);
299
300 inline void
301 rotate_right(node_pointer);
302
303 inline void
304 rotate_parent(node_pointer);
305
306 inline void
307 apply_update(node_pointer, null_node_update_pointer);
308
309 template<typename Node_Update_>
310 inline void
311 apply_update(node_pointer, Node_Update_*);
312
313 inline void
314 update_to_top(node_pointer, null_node_update_pointer);
315
316 template<typename Node_Update_>
317 inline void
318 update_to_top(node_pointer, Node_Update_*);
319
320 bool
321 join_prep(PB_DS_CLASS_C_DEC&);
322
323 void
324 join_finish(PB_DS_CLASS_C_DEC&);
325
326 bool
327 split_prep(key_const_reference, PB_DS_CLASS_C_DEC&);
328
329 void
330 split_finish(PB_DS_CLASS_C_DEC&);
331
332 size_type
333 recursive_count(node_pointer) const;
334
335 #ifdef _GLIBCXX_DEBUG
336 void
337 assert_valid(const char*, int) const;
338
339 void
340 structure_only_assert_valid(const char*, int) const;
341
342 void
343 assert_node_consistent(const node_pointer, const char*, int) const;
344 #endif
345
346 private:
347 #ifdef _GLIBCXX_DEBUG
348 void
349 assert_iterators(const char*, int) const;
350
351 void
352 assert_consistent_with_debug_base(const char*, int) const;
353
354 void
355 assert_node_consistent_with_left(const node_pointer,
356 const char*, int) const;
357
358 void
359 assert_node_consistent_with_right(const node_pointer,
360 const char*, int) const;
361
362 void
363 assert_consistent_with_debug_base(const node_pointer,
364 const char*, int) const;
365
366 void
367 assert_min(const char*, int) const;
368
369 void
370 assert_min_imp(const node_pointer, const char*, int) const;
371
372 void
373 assert_max(const char*, int) const;
374
375 void
376 assert_max_imp(const node_pointer, const char*, int) const;
377
378 void
379 assert_size(const char*, int) const;
380
381 typedef std::pair<const_pointer, const_pointer> node_consistent_t;
382
383 node_consistent_t
384 assert_node_consistent_(const node_pointer, const char*, int) const;
385 #endif
386
387 void
388 initialize();
389
390 node_pointer
391 recursive_copy_node(const node_pointer);
392
393 protected:
394 node_pointer m_p_head;
395 size_type m_size;
396 static node_allocator s_node_allocator;
397 };
398
399 #define PB_DS_STRUCT_ONLY_ASSERT_VALID(X) \
400 _GLIBCXX_DEBUG_ONLY(X.structure_only_assert_valid(__FILE__, __LINE__);)
401
402 #define PB_DS_ASSERT_NODE_CONSISTENT(_Node) \
403 _GLIBCXX_DEBUG_ONLY(assert_node_consistent(_Node, __FILE__, __LINE__);)
404
405 #include <ext/pb_ds/detail/bin_search_tree_/constructors_destructor_fn_imps.hpp>
406 #include <ext/pb_ds/detail/bin_search_tree_/iterators_fn_imps.hpp>
407 #include <ext/pb_ds/detail/bin_search_tree_/debug_fn_imps.hpp>
408 #include <ext/pb_ds/detail/bin_search_tree_/insert_fn_imps.hpp>
409 #include <ext/pb_ds/detail/bin_search_tree_/erase_fn_imps.hpp>
410 #include <ext/pb_ds/detail/bin_search_tree_/find_fn_imps.hpp>
411 #include <ext/pb_ds/detail/bin_search_tree_/info_fn_imps.hpp>
412 #include <ext/pb_ds/detail/bin_search_tree_/split_join_fn_imps.hpp>
413 #include <ext/pb_ds/detail/bin_search_tree_/rotate_fn_imps.hpp>
414 #include <ext/pb_ds/detail/bin_search_tree_/policy_access_fn_imps.hpp>
415
416 #undef PB_DS_ASSERT_NODE_CONSISTENT
417 #undef PB_DS_STRUCT_ONLY_ASSERT_VALID
418 #undef PB_DS_CLASS_C_DEC
419 #undef PB_DS_CLASS_T_DEC
420 #undef PB_DS_BIN_TREE_NAME
421 #undef PB_DS_BIN_TREE_TRAITS_BASE
422 #undef PB_DS_DEBUG_MAP_BASE_C_DEC
423
424 #ifdef PB_DS_TREE_TRACE
425 #undef PB_DS_TREE_TRACE_BASE_C_DEC
426 #endif
427 } // namespace detail
428 } // namespace __gnu_pbds