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
|
<!DOCTYPE html>
<html lang="zh">
<head>
<meta charset="utf-8" />
<meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1" />
<title>
Collections-Treemap - 赵小黑的博客
</title>
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1">
<meta name="viewport"
content="width=device-width, initial-scale=1, maximum-scale=1, minimum-scale=1, user-scalable=no, minimal-ui">
<meta name="renderer" content="webkit">
<meta http-equiv="Cache-Control" content="no-transform" />
<meta http-equiv="Cache-Control" content="no-siteapp" />
<meta name="apple-mobile-web-app-capable" content="yes">
<meta name="apple-mobile-web-app-status-bar-style" content="black">
<meta name="format-detection" content="telephone=no,email=no,adress=no">
<meta name="theme-color" content="#000000" />
<meta http-equiv="window-target" content="_top" />
<meta name="description" content="" />
<meta name="generator" content="Hugo 0.58.0 with theme pure" />
<title>Collections-Treemap - 赵小黑的博客</title>
<link rel="stylesheet" href="https://xiaohei.im/hugo-theme-pure/css/style.css">
<link rel="stylesheet" href="https://cdn.staticfile.org/highlight.js/9.15.10/styles/github.min.css">
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/gitalk@1/dist/gitalk.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/tocbot/4.4.2/tocbot.css">
<meta property="og:title" content="Collections-Treemap" />
<meta property="og:description" content="" />
<meta property="og:type" content="article" />
<meta property="og:url" content="https://xiaohei.im/hugo-theme-pure/collections/treemap/" />
<meta property="article:published_time" content="2019-08-15T13:19:18+08:00" />
<meta property="article:modified_time" content="2019-08-15T13:19:18+08:00" />
<meta itemprop="name" content="Collections-Treemap">
<meta itemprop="description" content="">
<meta itemprop="datePublished" content="2019-08-15T13:19:18+08:00" />
<meta itemprop="dateModified" content="2019-08-15T13:19:18+08:00" />
<meta itemprop="wordCount" content="2098">
<meta itemprop="keywords" content="collections," />
<meta name="twitter:card" content="summary"/>
<meta name="twitter:title" content="Collections-Treemap"/>
<meta name="twitter:description" content=""/>
<!--[if lte IE 9]>
<script src="https://cdnjs.cloudflare.com/ajax/libs/classlist/1.1.20170427/classList.min.js"></script>
<![endif]-->
<!--[if lt IE 9]>
<script src="https://cdn.jsdelivr.net/npm/html5shiv@3.7.3/dist/html5shiv.min.js"></script>
<script src="https://cdn.jsdelivr.net/npm/respond.js@1.4.2/dest/respond.min.js"></script>
<![endif]-->
</head>
</head>
<body class="main-center theme-black" itemscope itemtype="http://schema.org/WebPage"><header class="header" itemscope itemtype="http://schema.org/WPHeader">
<div class="slimContent">
<div class="navbar-header">
<div class="profile-block text-center">
<a id="avatar" href="https://github.com/xiaoheiAh" target="_blank">
<img class="img-circle img-rotate" src="https://xiaohei.im/hugo-theme-pure/avatar.png" width="200" height="200">
</a>
<h2 id="name" class="hidden-xs hidden-sm">赵小黑</h2>
<h3 id="title" class="hidden-xs hidden-sm hidden-md">Java Developer</h3>
<small id="location" class="text-muted hidden-xs hidden-sm"><i class="icon icon-map-marker"></i>Shanghai, China</small>
</div><div class="search" id="search-form-wrap">
<form class="search-form sidebar-form">
<div class="input-group">
<input type="text" class="search-form-input form-control" placeholder="搜索" />
<span class="input-group-btn">
<button type="submit" class="search-form-submit btn btn-flat" onclick="return false;"><i
class="icon icon-search"></i></button>
</span>
</div>
<div class="ins-search">
<div class="ins-search-mask"></div>
<div class="ins-search-container">
<div class="ins-input-wrapper">
<input type="text" class="ins-search-input" placeholder="想要查找什么..."
x-webkit-speech />
<button type="button" class="close ins-close ins-selectable" data-dismiss="modal"
aria-label="Close"><span aria-hidden="true">×</span></button>
</div>
<div class="ins-section-wrapper">
<div class="ins-section-container"></div>
</div>
</div>
</div>
</form>
</div>
<button class="navbar-toggle collapsed" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
</div>
<nav id="main-navbar" class="collapse navbar-collapse" itemscope itemtype="http://schema.org/SiteNavigationElement" role="navigation">
<ul class="nav navbar-nav main-nav menu-highlight">
<li class="menu-item menu-item-home">
<a href="/hugo-theme-pure/">
<i class="icon icon-home-fill"></i>
<span class="menu-title">主页</span>
</a>
</li>
<li class="menu-item menu-item-archives">
<a href="/hugo-theme-pure/posts">
<i class="icon icon-archives-fill"></i>
<span class="menu-title">归档</span>
</a>
</li>
<li class="menu-item menu-item-categories">
<a href="/hugo-theme-pure/categories">
<i class="icon icon-folder"></i>
<span class="menu-title">分类</span>
</a>
</li>
<li class="menu-item menu-item-tags">
<a href="/hugo-theme-pure/tags">
<i class="icon icon-tags"></i>
<span class="menu-title">标签</span>
</a>
</li>
<li class="menu-item menu-item-about">
<a href="/hugo-theme-pure/about">
<i class="icon icon-cup-fill"></i>
<span class="menu-title">关于</span>
</a>
</li>
</ul>
</nav>
</div>
</header>
<aside class="sidebar" itemscope itemtype="http://schema.org/WPSideBar">
<div class="slimContent">
<div class="widget">
<h3 class="widget-title">公告</h3>
<div class="widget-body">
<div id="board">
<div class="content"><p>自用科学上网节点推荐(便宜又好用)<a href="https://tianlinzhao.com/aff.php?aff=4969" target="_blank" style="background-color:#FFFF00">点这里跳转</a>
</div>
</div>
</div>
</div>
<div class="widget">
<h3 class="widget-title"> 分类</h3>
<div class="widget-body">
<ul class="category-list">
<li class="category-list-item"><a href="https://xiaohei.im/hugo-theme-pure/categories/corejava/" class="category-list-link">corejava</a><span class="category-list-count">7</span></li>
<li class="category-list-item"><a href="https://xiaohei.im/hugo-theme-pure/categories/hystrix/" class="category-list-link">hystrix</a><span class="category-list-count">2</span></li>
<li class="category-list-item"><a href="https://xiaohei.im/hugo-theme-pure/categories/leetcode/" class="category-list-link">leetcode</a><span class="category-list-count">3</span></li>
<li class="category-list-item"><a href="https://xiaohei.im/hugo-theme-pure/categories/redis/" class="category-list-link">redis</a><span class="category-list-count">10</span></li>
<li class="category-list-item"><a href="https://xiaohei.im/hugo-theme-pure/categories/%E5%AD%A6%E4%B9%A0%E7%AC%94%E8%AE%B0/" class="category-list-link">学习笔记</a><span class="category-list-count">1</span></li>
<li class="category-list-item"><a href="https://xiaohei.im/hugo-theme-pure/categories/%E6%B6%88%E6%81%AF%E9%98%9F%E5%88%97/" class="category-list-link">消息队列</a><span class="category-list-count">4</span></li>
</ul>
</div>
</div>
<div class="widget">
<h3 class="widget-title"> 标签</h3>
<div class="widget-body">
<ul class="tag-list">
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/collections/" class="tag-list-link">collections</a><span
class="tag-list-count">7</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/hugo/" class="tag-list-link">hugo</a><span
class="tag-list-count">1</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/hystrix/" class="tag-list-link">hystrix</a><span
class="tag-list-count">1</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/leetcode/" class="tag-list-link">leetcode</a><span
class="tag-list-count">3</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/netty/" class="tag-list-link">netty</a><span
class="tag-list-count">1</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/rabbitmq/" class="tag-list-link">rabbitmq</a><span
class="tag-list-count">4</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/redis/" class="tag-list-link">redis</a><span
class="tag-list-count">10</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/rust/" class="tag-list-link">rust</a><span
class="tag-list-count">3</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/rxjava/" class="tag-list-link">rxjava</a><span
class="tag-list-count">2</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/%E5%88%86%E5%B8%83%E5%BC%8F%E9%94%81/" class="tag-list-link">分布式锁</a><span
class="tag-list-count">1</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/%E5%93%8D%E5%BA%94%E5%BC%8F%E7%BC%96%E7%A8%8B/" class="tag-list-link">响应式编程</a><span
class="tag-list-count">1</span></li>
<li class="tag-list-item"><a href="https://xiaohei.im/hugo-theme-pure/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/" class="tag-list-link">数据结构</a><span
class="tag-list-count">1</span></li>
</ul>
</div>
</div>
<div class="widget">
<h3 class="widget-title">最新文章</h3>
<div class="widget-body">
<ul class="recent-post-list list-unstyled no-thumbnail">
<li>
<div class="item-inner">
<p class="item-title">
<a href="https://xiaohei.im/hugo-theme-pure/2019/11/netty/" class="title">[学习笔记] Netty</a>
</p>
<p class="item-date">
<time datetime="2019-11-29 18:40:27 +0800 CST" itemprop="datePublished">2019-11-29</time>
</p>
</div>
</li>
<li>
<div class="item-inner">
<p class="item-title">
<a href="https://xiaohei.im/hugo-theme-pure/2019/11/cluster/" class="title">Redis HA - Cluster</a>
</p>
<p class="item-date">
<time datetime="2019-11-24 11:48:17 +0800 CST" itemprop="datePublished">2019-11-24</time>
</p>
</div>
</li>
<li>
<div class="item-inner">
<p class="item-title">
<a href="https://xiaohei.im/hugo-theme-pure/2019/11/sentinel/" class="title">Redis HA - 哨兵模式</a>
</p>
<p class="item-date">
<time datetime="2019-11-23 17:56:15 +0800 CST" itemprop="datePublished">2019-11-23</time>
</p>
</div>
</li>
<li>
<div class="item-inner">
<p class="item-title">
<a href="https://xiaohei.im/hugo-theme-pure/2019/11/replication/" class="title">Redis-复制功能探索</a>
</p>
<p class="item-date">
<time datetime="2019-11-16 14:24:40 +0800 CST" itemprop="datePublished">2019-11-16</time>
</p>
</div>
</li>
<li>
<div class="item-inner">
<p class="item-title">
<a href="https://xiaohei.im/hugo-theme-pure/2019/11/event/" class="title">Redis-事件</a>
</p>
<p class="item-date">
<time datetime="2019-11-14 15:01:45 +0800 CST" itemprop="datePublished">2019-11-14</time>
</p>
</div>
</li>
</ul>
</div>
</div>
</div>
</aside>
<aside class="sidebar sidebar-toc collapse" id="collapseToc" itemscope itemtype="http://schema.org/WPSideBar">
<div class="slimContent">
<h4 class="toc-title">文章目录</h4>
<nav id="toc" class="js-toc toc">
</nav>
</div>
</aside>
<main class="main" role="main"><div class="content">
<article id="-" class="article article-type-" itemscope
itemtype="http://schema.org/BlogPosting">
<div class="article-header">
<h1 itemprop="name">
<a
class="article-title"
href="/hugo-theme-pure/collections/treemap/"
>Collections-Treemap</a
>
</h1>
<div class="article-meta">
<span class="article-date">
<i class="icon icon-calendar-check"></i>
<a href="https://xiaohei.im/hugo-theme-pure/collections/treemap/" class="article-date">
<time datetime="2019-08-15 13:19:18 +0800 CST" itemprop="datePublished">2019-08-15</time>
</a>
</span><span class="article-category">
<i class="icon icon-folder"></i>
<a class="article-category-link" href="/hugo-theme-pure/categories/corejava/"> CoreJava </a>
</span>
<span class="article-tag">
<i class="icon icon-tags"></i>
<a class="article-tag-link" href="/hugo-theme-pure/tags/collections/"> collections </a>
</span>
<span class="article-read hidden-xs">
<i class="icon icon-eye-fill" aria-hidden="true"></i>
<span id="busuanzi_container_page_pv">
<span id="busuanzi_value_page_pv">0</span>
</span>
</span>
<span class="post-comment"><i class="icon icon-comment"></i> <a href="/hugo-theme-pure/collections/treemap/#comments"
class="article-comment-link">评论</a></span>
<span class="post-wordcount hidden-xs" itemprop="wordCount">字数统计:2098字</span>
<span class="post-readcount hidden-xs" itemprop="timeRequired">阅读时长:5分 </span>
</div>
</div>
<div class="article-entry marked-body js-toc-content" itemprop="articleBody">
<blockquote>
<p><a href="https://www.tianxiaobo.com/2018/01/11/%E7%BA%A2%E9%BB%91%E6%A0%91%E8%AF%A6%E7%BB%86%E5%88%86%E6%9E%90/">红黑树介绍</a>
<a href="http://cmsblogs.com/?p=1013">TreeMap解析</a></p>
<h2 id="简介">简介</h2>
<ol>
<li>TreeMap底层基于<code>红黑树</code>实现,可以保证在<code>log(n)</code>时间复杂度下完成增删改查的操作,效率很高,由于基于<code>红黑树</code>,所以保持<code>有序</code>.</li>
<li>TreeMap继承自<code>AbstractMap</code>,并实现了<code>NavigableMap</code>(主要是提供一些导航类的操作,比如获得比当前节点小的最大值,比当前节点大的最小值等)</li>
<li><code>key</code>不允许为空</li>
</ol>
</blockquote>
<pre><code class="language-mermaid">graph BT
A(C:TreeMap) -.-> B(I:NavigableMap)
A --> C(C:AbstractMap)
B --> E(I:SortedMap)
E --> D(I:Map)
C -.->D(I:Map)
</code></pre>
<h2 id="基本操作">基本操作</h2>
<pre><code class="language-java"> /* get 操作 可以返回null值 如果key为null 则会抛 NPE */
public V get(Object key) {
Entry<K,V> p = getEntry(key);
return (p==null ? null : p.value);
}
/* get操作实际调用的方法 key为null时 抛NPE */
final Entry<K,V> getEntry(Object key) {
// Offload comparator-based version for sake of performance
// 除非用comparator构建TreeMap,否则不使用它,为了性能考虑
if (comparator != null)
return getEntryUsingComparator(key);
if (key == null)
throw new NullPointerException();
@SuppressWarnings("unchecked")
Comparable<? super K> k = (Comparable<? super K>) key;
Entry<K,V> p = root;
while (p != null) {
int cmp = k.compareTo(p.key);//compare key遍历二叉树
if (cmp < 0)
p = p.left;
else if (cmp > 0)
p = p.right;
else
return p;
}
return null;
}
public V put(K key, V value) {
//用t表示二叉树的当前节点
Entry<K,V> t = root;
//t为null表示一个空树，即TreeMap中没有任何元素，直接插入
if (t == null) {
//比较key值，个人觉得这句代码没有任何意义，空树还需要比较、排序？
compare(key, key); // type (and possibly null) check
//将新的key-value键值对创建为一个Entry节点，并将该节点赋予给root
root = new Entry<>(key, value, null);
//容器的size = 1，表示TreeMap集合中存在一个元素
size = 1;
//修改次数 + 1
modCount++;
return null;
}
int cmp; //cmp表示key排序的返回结果
Entry<K,V> parent; //父节点
// split comparator and comparable paths
Comparator<? super K> cpr = comparator; //指定的排序算法
//如果cpr不为空，则采用既定的排序算法进行创建TreeMap集合
if (cpr != null) {
do {
parent = t; //parent指向上次循环后的t
//比较新增节点的key和当前节点key的大小
cmp = cpr.compare(key, t.key);
//cmp返回值小于0，表示新增节点的key小于当前节点的key，则以当前节点的左子节点作为新的当前节点
if (cmp < 0)
t = t.left;
//cmp返回值大于0，表示新增节点的key大于当前节点的key，则以当前节点的右子节点作为新的当前节点
else if (cmp > 0)
t = t.right;
//cmp返回值等于0，表示两个key值相等，则新值覆盖旧值，并返回新值
else
return t.setValue(value);
} while (t != null);
}
//如果cpr为空，则采用默认的排序算法进行创建TreeMap集合
else {
if (key == null) //key值为空抛出异常
throw new NullPointerException();
/* 下面处理过程和上面一样 */
Comparable<? super K> k = (Comparable<? super K>) key;
do {
parent = t;
cmp = k.compareTo(t.key);
if (cmp < 0)
t = t.left;
else if (cmp > 0)
t = t.right;
else
return t.setValue(value);
} while (t != null);
}
//将新增节点当做parent的子节点
Entry<K,V> e = new Entry<>(key, value, parent);
//如果新增节点的key小于parent的key，则当做左子节点
if (cmp < 0)
parent.left = e;
//如果新增节点的key大于parent的key，则当做右子节点
else
parent.right = e;
/*
* 上面已经完成了排序二叉树的的构建，将新增节点插入该树中的合适位置
* 下面fixAfterInsertion()方法就是对这棵树进行调整、平衡，具体过程参考上面的五种情况
*/
fixAfterInsertion(e);
//TreeMap元素数量 + 1
size++;
//TreeMap容器修改次数 + 1
modCount++;
return null;
}
/**
* 上面代码中do{}代码块是实现排序二叉树的核心算法，通过该算法我们可以确认新增节点在该树的正确位置。
* 找到正确位置后将插入即可，这样做了其实还没有完成，因为我知道TreeMap的底层实现是红黑树，红黑树是一棵平衡排序二叉树，
* 普通的排序二叉树可能会出现失衡的情况，所以下一步就是要进行调整。fixAfterInsertion(e); 调整的过程务必会涉及到红黑树的左
* 旋、右旋、着色三个基本操作
* 新增节点后的修复操作
* x 表示新增节点
*/
private void fixAfterInsertion(Entry<K,V> x) {
x.color = RED; //新增节点的颜色为红色
//循环 直到 x不是根节点，且x的父节点不为红色
while (x != null && x != root && x.parent.color == RED) {
//如果X的父节点（P）是其父节点的父节点（G）的左节点
if (parentOf(x) == leftOf(parentOf(parentOf(x)))) {
//获取X的叔节点(U)
Entry<K,V> y = rightOf(parentOf(parentOf(x)));
//如果X的叔节点（U） 为红色（情况三）
if (colorOf(y) == RED) {
//将X的父节点（P）设置为黑色
setColor(parentOf(x), BLACK);
//将X的叔节点（U）设置为黑色
setColor(y, BLACK);
//将X的父节点的父节点（G）设置红色
setColor(parentOf(parentOf(x)), RED);
x = parentOf(parentOf(x));
}
//如果X的叔节点（U为黑色）；这里会存在两种情况（情况四、情况五）
else {
//如果X节点为其父节点（P）的右子树，则进行左旋转（情况四）
if (x == rightOf(parentOf(x))) {
//将X的父节点作为X
x = parentOf(x);
//右旋转
rotateLeft(x);
}
//（情况五）
//将X的父节点（P）设置为黑色
setColor(parentOf(x), BLACK);
//将X的父节点的父节点（G）设置红色
setColor(parentOf(parentOf(x)), RED);
//以X的父节点的父节点（G）为中心右旋转
rotateRight(parentOf(parentOf(x)));
}
}
//如果X的父节点（P）是其父节点的父节点（G）的右节点
else {
//获取X的叔节点（U）
Entry<K,V> y = leftOf(parentOf(parentOf(x)));
//如果X的叔节点（U） 为红色（情况三）
if (colorOf(y) == RED) {
//将X的父节点（P）设置为黑色
setColor(parentOf(x), BLACK);
//将X的叔节点（U）设置为黑色
setColor(y, BLACK);
//将X的父节点的父节点（G）设置红色
setColor(parentOf(parentOf(x)), RED);
x = parentOf(parentOf(x));
}
//如果X的叔节点（U为黑色）；这里会存在两种情况（情况四、情况五）
else {
//如果X节点为其父节点（P）的右子树，则进行左旋转（情况四）
if (x == leftOf(parentOf(x))) {
//将X的父节点作为X
x = parentOf(x);
//右旋转
rotateRight(x);
}
//（情况五）
//将X的父节点（P）设置为黑色
setColor(parentOf(x), BLACK);
//将X的父节点的父节点（G）设置红色
setColor(parentOf(parentOf(x)), RED);
//以X的父节点的父节点（G）为中心右旋转
rotateLeft(parentOf(parentOf(x)));
}
}
}
//将根节点G强制设置为黑色
root.color = BLACK;
}
</code></pre>
</div>
<div class="article-footer">
<blockquote class="mt-2x">
<ul class="post-copyright list-unstyled">
<li class="post-copyright-link hidden-xs">
<strong>本文链接: </strong>
<a href="https://xiaohei.im/hugo-theme-pure/collections/treemap/" title="Collections-Treemap" target="_blank" rel="external">https://xiaohei.im/hugo-theme-pure/collections/treemap/</a>
</li>
<li class="post-copyright-license">
<strong>License：</strong><a href="http://creativecommons.org/licenses/by/4.0/deed.zh" target="_blank" rel="external">CC BY 4.0 CN</a>
</li>
</ul>
</blockquote>
<div class="panel panel-default panel-badger">
<div class="panel-body">
<figure class="media">
<div class="media-left">
<a href="https://github.com/xiaoheiAh" target="_blank" class="img-burn thumb-sm visible-lg">
<img src="https://xiaohei.im/hugo-theme-pure/avatar.png" class="img-rounded w-full" alt="">
</a>
</div>
<div class="media-body">
<h3 class="media-heading"><a href="https://github.com/xiaoheiAh" target="_blank"><span class="text-dark">赵小黑</span><small class="ml-1x">Java Developer</small></a></h3>
<div>好好学习~天天向上~</div>
</div>
</figure>
</div>
</div>
</div>
</article>
<section id="comments">
</section>
</div><nav class="bar bar-footer clearfix" data-stick-bottom>
<div class="bar-inner">
<ul class="pager pull-left">
<li class="prev">
<a href="https://xiaohei.im/hugo-theme-pure/collections/treeset/" title="Collections-Treeset"><i
class="icon icon-angle-left"
aria-hidden="true"></i><span> 下一篇</span></a>
</li>
<li class="next">
<a href="https://xiaohei.im/hugo-theme-pure/collections/linkedlist/"
title="Collections-Linkedlist"><span>上一篇 </span><i
class="icon icon-angle-right" aria-hidden="true"></i></a>
</li>
<li class="toggle-toc">
<a class="toggle-btn collapsed" data-toggle="collapse" href="#collapseToc" aria-expanded="false"
title="文章目录" role="button">
<span>[ </span><span>文章目录</span>
<i class="text-collapsed icon icon-anchor"></i>
<i class="text-in icon icon-close"></i>
<span>]</span>
</a>
</li>
</ul>
<button type="button" class="btn btn-fancy btn-donate pop-onhover bg-gradient-warning" data-toggle="modal"
data-target="#donateModal"><span>赏</span></button>
<div class="bar-right">
<div class="share-component" data-sites="weibo,qq,wechat,facebook,twitter"
data-mobile-sites="weibo,qq,qzone"></div>
</div>
</div>
</nav>
<div class="modal modal-center modal-small modal-xs-full fade" id="donateModal" tabindex="-1" role="dialog">
<div class="modal-dialog" role="document">
<div class="modal-content donate">
<button type="button" class="close" data-dismiss="modal" aria-label="Close"><span
aria-hidden="true">×</span></button>
<div class="modal-body">
<div class="donate-box">
<div class="donate-head">
<p>感谢您的支持,我会继续努力的!</p>
</div>
<div class="tab-content">
<div role="tabpanel" class="tab-pane fade active in" id="alipay">
<div class="donate-payimg">
<img src="https://xiaohei.im/hugo-theme-pure/donate/alipayimg.png"
alt="扫码支持" title="扫一扫" />
</div>
<p class="text-muted mv">扫码打赏, 多少你说了算~</p>
<p class="text-grey">打开支付宝扫一扫，即可进行扫码打赏哦~</p>
</div>
<div role="tabpanel" class="tab-pane fade" id="wechatpay">
<div class="donate-payimg">
<img src="https://xiaohei.im/hugo-theme-pure/donate/wechatpayimg.png"
alt="扫码支持" title="扫一扫" />
</div>
<p class="text-muted mv">扫码打赏, 多少你说了算~</p>
<p class="text-grey">打开微信扫一扫，即可进行扫码打赏哦</p>
</div>
</div>
<div class="donate-footer">
<ul class="nav nav-tabs nav-justified" role="tablist">
<li role="presentation" class="active">
<a href="#alipay" id="alipay-tab" role="tab" data-toggle="tab" aria-controls="alipay"
aria-expanded="true"><i class="icon icon-alipay"></i> 支付宝</a>
</li>
<li role="presentation" class="">
<a href="#wechatpay" role="tab" id="wechatpay-tab" data-toggle="tab"
aria-controls="wechatpay" aria-expanded="false"><i class="icon icon-wepay"></i>
微信支付</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</main><footer class="footer" itemscope itemtype="http://schema.org/WPFooter">
<ul class="social-links">
<li><a href="https://github.com/xiaoheiAh" target="_blank" title="github" data-toggle=tooltip data-placement=top >
<i class="icon icon-github"></i></a></li>
<li><a href="https://xiaohei.im/index.xml" target="_blank" title="rss" data-toggle=tooltip data-placement=top >
<i class="icon icon-rss"></i></a></li>
</ul>
<div class="copyright">
©2017 -
2019
<div class="publishby">
Theme by <a href="https://github.com/xiaoheiAh" target="_blank"> xiaoheiAh </a>base on<a href="https://github.com/xiaoheiAh/hugo-theme-pure" target="_blank"> pure</a>.
</div>
</div>
</footer>
<script src="https://cdn.jsdelivr.net/npm/jquery@3.4.1/dist/jquery.min.js"></script>
<script>
window.jQuery || document.write('<script src="js/jquery.min.js"><\/script>')
</script>
<script type="text/javascript" src="https://cdn.staticfile.org/highlight.js/9.15.10/highlight.min.js"></script>
<script type="text/javascript" src="https://cdn.staticfile.org/highlight.js/9.15.10/languages/rust.min.js"></script>
<script type="text/javascript"
src="https://cdn.staticfile.org/highlight.js/9.15.10/languages/dockerfile.min.js"></script>
<script>
hljs.configure({
tabReplace: ' ',
classPrefix: ''
})
hljs.initHighlightingOnLoad();
</script>
<script type="text/javascript" src="https://xiaohei.im/hugo-theme-pure/js/application.js"></script>
<script type="text/javascript" src="https://xiaohei.im/hugo-theme-pure/js/plugin.js"></script>
<script>
(function (window) {
var INSIGHT_CONFIG = {
TRANSLATION: {
POSTS: '文章',
PAGES: '页面',
CATEGORIES: '分类',
TAGS: '标签',
UNTITLED: '(未命名)',
},
ROOT_URL: 'https:\/\/xiaohei.im\/hugo-theme-pure',
CONTENT_URL: 'https:\/\/xiaohei.im\/hugo-theme-pure\/searchindex.json ',
};
window.INSIGHT_CONFIG = INSIGHT_CONFIG;
})(window);
</script>
<script type="text/javascript" src="https://xiaohei.im/hugo-theme-pure/js/insight.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/tocbot/4.4.2/tocbot.min.js"></script>
<script>
tocbot.init({
tocSelector: '.js-toc',
contentSelector: '.js-toc-content',
headingSelector: 'h1, h2, h3',
hasInnerContainers: true,
});
</script>
<script async src="https://busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js"></script>
<script type="application/javascript">
var doNotTrack = false;
if (!doNotTrack) {
window.ga=window.ga||function(){(ga.q=ga.q||[]).push(arguments)};ga.l=+new Date;
ga('create', 'UA-98254666-1', 'auto');
ga('send', 'pageview');
}
</script>
<script async src='https://www.google-analytics.com/analytics.js'></script>
</body>
</html>
|
