空閑時(shí)間,根了一下最新HashMap源碼,這里記錄一下。如有錯(cuò)漏,請(qǐng)指正。
篇幅太長(zhǎng),因此這里分了兩篇文章。
主要從以下功能切入:
- 構(gòu)造函數(shù)
- put
- get
- remove
構(gòu)造函數(shù):
//默認(rèn)構(gòu)造函數(shù),默認(rèn)初始容量為16 ,默認(rèn)加載因子為0.75
public HashMap() {
this.loadFactor = DEFAULT_LOAD_FACTOR;
}
//指定初始容量的構(gòu)造函數(shù),默認(rèn)加載因子為0.75
public HashMap(int initialCapacity) {
this(initialCapacity, DEFAULT_LOAD_FACTOR);
}
//指定初始容量和加載因子的構(gòu)造函數(shù)
public HashMap(int initialCapacity, float loadFactor) {
if (initialCapacity < 0)
throw new IllegalArgumentException("Illegal initial capacity: " +
initialCapacity);
//若初始容量大于最大容量,則初始容量為最大容量
if (initialCapacity > MAXIMUM_CAPACITY)
initialCapacity = MAXIMUM_CAPACITY;
//若加載因子小于0或NaN即Not a number(0.0f/0.0f的值就是NaN)的話,拋出異常
if (loadFactor <= 0 || Float.isNaN(loadFactor))
throw new IllegalArgumentException("Illegal load factor: " +
loadFactor);
this.loadFactor = loadFactor;
//初始化閾值,該值用于判斷何時(shí)需要擴(kuò)容(resize)
this.threshold = tableSizeFor(initialCapacity);
}
/**
* 該方法用于保證數(shù)組長(zhǎng)度為2的n次方
*
* 問(wèn): 為何數(shù)組長(zhǎng)度一定要為2的n次方?
* 我們知道2的n次方=1+n個(gè)0,而2的n次方-1 實(shí)際就是n個(gè)1
* 在HashMap中,我們需要根據(jù)key的hash值取數(shù)組中的下標(biāo),為了較少碰撞(即key在table中位置相同),每個(gè)key在數(shù) * 組中的下標(biāo)可以通過(guò)以下公式獲取:
* int index = key.hash % table.length;
* 但是由于%運(yùn)算效率不高,因此使用效率高的與運(yùn)算來(lái)取代%運(yùn)算
* int index = (table.length - 1) & key.hash;
* 這里又要回到為什么要保證數(shù)組長(zhǎng)度為2的n次方,因?yàn)?的n次方-1=n個(gè)1,例如這里數(shù)組長(zhǎng)度為2?=16,那么:
* int index = 1111 & key.hash;
* 這樣既保證了均勻性,index也不會(huì)超過(guò)數(shù)組長(zhǎng)度,同時(shí)效率也提高了。
* 兩種運(yùn)算效率的對(duì)比可自行測(cè)試。
* */
static final int tableSizeFor(int cap) {
//>>> : 無(wú)符號(hào)右移,忽略符號(hào)位,空位都以0補(bǔ)齊,即這里保證數(shù)組長(zhǎng)度為正數(shù)
//>> :帶符號(hào)右移,正數(shù)右移高位補(bǔ)0,負(fù)數(shù)右移高位補(bǔ)1
//以下運(yùn)算為何可以保證返回值為2的n次方呢?
//我們隨便拿個(gè)數(shù)字cap=190,那么n = 189,二進(jìn)制為:10111101
//10111101 |= 01011110 結(jié)果為: 11111111 = 2的8次方-1
//接著后面的|=已經(jīng)無(wú)需在意,因此這里189的二進(jìn)制所有位都為1了
//最后返回值為n+1即2的8次方 = 256
//經(jīng)上面例子得出結(jié)果:通過(guò)將cap-1的二進(jìn)制最高位1后所有位都轉(zhuǎn)為1,最后再加上1就是我們想要的2的n次方了
//這里再詳細(xì)說(shuō)一下下面算法:
int n = cap - 1;
n |= n >>> 1; //將最高位后1位 置為1
n |= n >>> 2; //將最高位后2位 置為1
n |= n >>> 4; //由于已經(jīng)將前4位置為1了,這時(shí)n>>>4用于轉(zhuǎn)后4位
n |= n >>> 8; //由于已經(jīng)將前8位置為1了,這時(shí)n>>>8用于轉(zhuǎn)后8位
n |= n >>> 16; //由于已經(jīng)將前16位置為1了,這時(shí)n>>>16用于轉(zhuǎn)后16位
return (n < 0) ? 1 : (n >= MAXIMUM_CAPACITY) ? MAXIMUM_CAPACITY : n + 1;
}
//根據(jù)指定map構(gòu)造一個(gè)新的HashMap,默認(rèn)加載因子為0.75
public HashMap(Map<? extends K, ? extends V> m) {
this.loadFactor = DEFAULT_LOAD_FACTOR;
putMapEntries(m, false);
}
//將map內(nèi)容拷貝到本地HashMap,關(guān)于evict參數(shù),HashMap中用于判斷數(shù)組是否處于創(chuàng)建模式
//evict = false的話,處于創(chuàng)建模式
final void putMapEntries(Map<? extends K, ? extends V> m, boolean evict) {
int s = m.size(); //獲取map大小
if (s > 0) { //map 非空
if (table == null) { //若當(dāng)前數(shù)組為空,根據(jù)map大小獲取數(shù)組閾值
float ft = ((float)s / loadFactor) + 1.0F;
int t = ((ft < (float)MAXIMUM_CAPACITY) ?
(int)ft : MAXIMUM_CAPACITY);
if (t > threshold)
threshold = tableSizeFor(t);
}
else if (s > threshold) //否則當(dāng)前數(shù)組為空且map大小比閾值大,需要擴(kuò)容才能放得下map
resize(); //關(guān)于擴(kuò)容函數(shù),后面會(huì)分析
//處理好數(shù)組號(hào),將map的所有值都拷貝到HashMap
for (Map.Entry<? extends K, ? extends V> e : m.entrySet()) {
K key = e.getKey();
V value = e.getValue();
putVal(hash(key), key, value, false, evict);
}
}
}
put相關(guān)函數(shù)
//對(duì)外接口,put一個(gè)key-value
public V put(K key, V value) {
return putVal(hash(key), key, value, false, true);
}
//根據(jù)傳遞的key對(duì)象獲取hash值
static final int hash(Object key) {
//我們上面說(shuō)過(guò),要盡可能減少碰撞(不同key在數(shù)組中處于相同位置),保證均勻性以滿足散列特征。
int h;
//key的hash值的高16位不變,低16位與高16位異或作為key的最終hash值
//我們前面知道數(shù)組長(zhǎng)度總是為2的n次方,并且最后根據(jù)key的hash值取數(shù)組下標(biāo)的時(shí)候公式為:
//int index = (table.length - 1) & hash;
//假如key.hashCode() = 1111-0001-1111-1111-0111-1110-1111-1000,數(shù)組長(zhǎng)度為2?=16=0001-0110
//最高的24位都沒(méi)有參與運(yùn)算,因?yàn)閿?shù)組長(zhǎng)度的限制(我們事實(shí)也很難會(huì)用到2^30這個(gè)最大容量)。因此,
//大多數(shù)情況下hash值的高位都沒(méi)有參與運(yùn)算(例子這里只有低5位參與運(yùn)算),這樣的話很容易產(chǎn)生碰撞,
//因此設(shè)計(jì)者通過(guò)將高16位與低16位異或來(lái)減少這種影響
//更詳細(xì)說(shuō)明可參考:https://www.cnblogs.com/zhengwang/p/8136164.html
return (key == null) ? 0 : (h = key.hashCode()) ^ (h >>> 16);
}
//內(nèi)部實(shí)現(xiàn)類,put一個(gè)key-value
//hash:key的哈希值
//key: key值
//value: value值
//onlyIfAbsent: true的話,不改變?cè)疽呀?jīng)存在的key-value
//evict: 關(guān)于evict參數(shù),evict = false的話,table處于創(chuàng)建模式
final V putVal(int hash, K key, V value, boolean onlyIfAbsent,
boolean evict) {
Node<K,V>[] tab; Node<K,V> p; int n, i;
//若數(shù)組為空或者數(shù)組長(zhǎng)度為0則擴(kuò)容
if ((tab = table) == null || (n = tab.length) == 0)
n = (tab = resize()).length;
//根據(jù)hash獲取數(shù)組中的下標(biāo),若數(shù)組中不存在節(jié)點(diǎn)的話,new一個(gè)節(jié)點(diǎn)并放到對(duì)應(yīng)數(shù)組下標(biāo)
if ((p = tab[i = (n - 1) & hash]) == null)
tab[i] = newNode(hash, key, value, null);
//若數(shù)組中已經(jīng)存在節(jié)點(diǎn),當(dāng)前節(jié)點(diǎn)為tab[(n - 1) & hash]
else {
Node<K,V> e; K k;
//若當(dāng)前節(jié)點(diǎn)與要插入的key-value的key相等的話,將e賦值為當(dāng)前節(jié)點(diǎn)p
//這里的key相等為以下判斷,即要插入的key-value的key的hash值與當(dāng)前節(jié)點(diǎn)的hash值相等
//且k=當(dāng)前節(jié)點(diǎn)的key與key相等或要插入的key-value的key.equals(k)為true。
if (p.hash == hash &&
((k = p.key) == key || (key != null && key.equals(k))))
e = p;
//若當(dāng)前節(jié)點(diǎn)為紅黑樹(shù)節(jié)點(diǎn)的話,e=紅黑樹(shù)節(jié)點(diǎn)的putTreeVal方法的返回值
//putTreeVal后面會(huì)細(xì)講
else if (p instanceof TreeNode)
e = ((TreeNode<K,V>)p).putTreeVal(this, tab, hash, key, value);
//下面代碼表示循環(huán)鏈表,找出鏈表與要插入的key-value的key相等的節(jié)點(diǎn)
else {
for (int binCount = 0; ; ++binCount) {
//若在鏈表中沒(méi)有找到對(duì)應(yīng)key(最后節(jié)點(diǎn).next為null)的節(jié)點(diǎn),跳出循環(huán)
if ((e = p.next) == null) {
//new一個(gè)節(jié)點(diǎn),并插到鏈表最后面
p.next = newNode(hash, key, value, null);
//判斷當(dāng)前鏈表長(zhǎng)度是否比紅黑樹(shù)定義的閾值大,是的話,則開(kāi)始將鏈表節(jié)點(diǎn)轉(zhuǎn)化為紅黑樹(shù)節(jié)點(diǎn)
if (binCount >= TREEIFY_THRESHOLD - 1) // -1 for 1st
treeifyBin(tab, hash);
break;
}
//若在鏈表中找到了與要插入的key-value的key相等的節(jié)點(diǎn),跳出循環(huán)
if (e.hash == hash &&
((k = e.key) == key || (key != null && key.equals(k))))
break;
//將next賦給當(dāng)前節(jié)點(diǎn),用于循環(huán)
p = e;
}
}
//在鏈表中找到了與要插入的key-value的key相等的節(jié)點(diǎn),例如,相同一個(gè)key就會(huì)有相同的節(jié)點(diǎn)
if (e != null) {
V oldValue = e.value;
//判斷onlyIfAbsent=false或原本key-value的值為空的時(shí)候則賦為最新值
if (!onlyIfAbsent || oldValue == null)
e.value = value;
afterNodeAccess(e); //LinkedHashMap后期操作函數(shù),HashMap暫未實(shí)現(xiàn)
return oldValue; //返回舊的值
}
}
++modCount; //增加修改次數(shù)
//判斷是否需要擴(kuò)容
if (++size > threshold)
resize();
afterNodeInsertion(evict);//LinkedHashMap后期操作函數(shù),HashMap暫未實(shí)現(xiàn)
return null;
}
//將鏈表節(jié)點(diǎn)轉(zhuǎn)化為紅黑樹(shù)節(jié)點(diǎn)
//tab: 鏈表節(jié)點(diǎn)數(shù)組
//hash: 當(dāng)前要插入key的hash值
final void treeifyBin(Node<K,V>[] tab, int hash) {
int n, index; Node<K,V> e;
//若tab為null或數(shù)組長(zhǎng)度小于紅黑樹(shù)的最小容量的話,沒(méi)有必要將鏈表轉(zhuǎn)為紅黑樹(shù),直接擴(kuò)容
if (tab == null || (n = tab.length) < MIN_TREEIFY_CAPACITY)
resize();
//e = tab[index = (n - 1) & hash]) 取數(shù)組中的節(jié)點(diǎn)即鏈表中的第一個(gè)節(jié)點(diǎn)
else if ((e = tab[index = (n - 1) & hash]) != null) {
TreeNode<K,V> hd = null, tl = null;
do {
TreeNode<K,V> p = replacementTreeNode(e, null);//將鏈表節(jié)點(diǎn)轉(zhuǎn)為紅黑樹(shù)節(jié)點(diǎn)
if (tl == null)
hd = p; //記錄紅黑樹(shù)頭節(jié)點(diǎn)即鏈表中第一個(gè)節(jié)點(diǎn)
else {
//新增一個(gè)雙向鏈表
p.prev = tl; //設(shè)置當(dāng)前節(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)
tl.next = p; //設(shè)置上一個(gè)節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)
}
tl = p; //將上一個(gè)節(jié)點(diǎn)賦值為當(dāng)前節(jié)點(diǎn),用于循環(huán),直到鏈表最后一個(gè)
} while ((e = e.next) != null);
//若頭節(jié)點(diǎn)非空,則從紅黑樹(shù)頭節(jié)點(diǎn)開(kāi)始將鏈表轉(zhuǎn)化為紅黑樹(shù)結(jié)構(gòu)
if ((tab[index] = hd) != null)
hd.treeify(tab);
}
}
//從當(dāng)前節(jié)點(diǎn)開(kāi)始將鏈表節(jié)點(diǎn)轉(zhuǎn)化為紅黑樹(shù)數(shù)據(jù)結(jié)構(gòu)
final void treeify(Node<K,V>[] tab) {
TreeNode<K,V> root = null; //根節(jié)點(diǎn)
//從當(dāng)前節(jié)點(diǎn)開(kāi)始,進(jìn)行結(jié)構(gòu)轉(zhuǎn)換
//x為當(dāng)前鏈表節(jié)點(diǎn)
for (TreeNode<K,V> x = this, next; x != null; x = next) {
//獲取當(dāng)前節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)
next = (TreeNode<K,V>)x.next;
x.left = x.right = null; //設(shè)置左右節(jié)點(diǎn)為null
//若根節(jié)點(diǎn)為空,則將當(dāng)前節(jié)點(diǎn)設(shè)置為根節(jié)點(diǎn)
//并且parent設(shè)置為null,因?yàn)楦?jié)點(diǎn)沒(méi)有父節(jié)點(diǎn)
//并且根節(jié)點(diǎn)一定為黑色
if (root == null) {
x.parent = null;
x.red = false;
root = x;
}
//若根節(jié)點(diǎn)非空
else {
K k = x.key; //當(dāng)前鏈表節(jié)點(diǎn)的key
int h = x.hash; //當(dāng)前鏈表節(jié)點(diǎn)的hash值
Class<?> kc = null; //聲明key的class
//從根節(jié)點(diǎn)開(kāi)始進(jìn)行構(gòu)成紅黑樹(shù)結(jié)構(gòu)
for (TreeNode<K,V> p = root;;) {
int dir, ph; //聲明方向,當(dāng)前節(jié)點(diǎn)hash值
K pk = p.key; //聲明當(dāng)前節(jié)點(diǎn)的key
//若當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的hash比鏈表節(jié)點(diǎn)的hash值大的話,則將鏈表節(jié)點(diǎn)放在紅黑樹(shù)節(jié)點(diǎn)的左邊
if ((ph = p.hash) > h)
dir = -1;
//若當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的hash比鏈表節(jié)點(diǎn)的hash值小的話,則將鏈表節(jié)點(diǎn)放在紅黑樹(shù)節(jié)點(diǎn)的右邊
else if (ph < h)
dir = 1;
//若當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的hash與鏈表節(jié)點(diǎn)的hash值相等的話需要再進(jìn)行判斷(即判斷兩個(gè)key是否相同)
//若kc為null并且當(dāng)前鏈表節(jié)點(diǎn)的key的class沒(méi)有實(shí)現(xiàn)comparable接口
//或者kc不為null并且當(dāng)前鏈表節(jié)點(diǎn)的key的class實(shí)現(xiàn)了comparable,則通過(guò)比較得出方向
//否則將調(diào)用tieBreakOrder(k, pk)獲取一個(gè)必定為左或右的方向
else if ((kc == null && (kc = comparableClassFor(k)) == null)
|| (dir = compareComparables(kc, k, pk)) == 0)
dir = tieBreakOrder(k, pk);
//聲明xp=當(dāng)前紅黑樹(shù)節(jié)點(diǎn)
TreeNode<K,V> xp = p;
//根據(jù)方向獲取當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的左節(jié)點(diǎn)或右節(jié)點(diǎn)
//若為空的話,則將當(dāng)前鏈表節(jié)點(diǎn)x插入到當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的左邊或右邊并且退出循環(huán)
//否則繼續(xù)循環(huán)
if ((p = (dir <= 0) ? p.left : p.right) == null) {
x.parent = xp; //設(shè)置當(dāng)前鏈表節(jié)點(diǎn)的父節(jié)點(diǎn)為當(dāng)前紅黑樹(shù)節(jié)點(diǎn)
if (dir <= 0)
xp.left = x; //當(dāng)前鏈表節(jié)點(diǎn)x為當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的左節(jié)點(diǎn)
else
xp.right = x; //當(dāng)前鏈表節(jié)點(diǎn)x為當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的右節(jié)點(diǎn)
//插入后需要調(diào)整紅黑樹(shù)平衡,并且將平衡后返回的節(jié)點(diǎn)作為根節(jié)點(diǎn)
root = balanceInsertion(root, x);
break;
}
}
}
}
moveRootToFront(tab, root);
}
//根據(jù)對(duì)象獲取實(shí)現(xiàn)Comparable的接口類
static Class<?> comparableClassFor(Object x) {
//implement Comparable接口
if (x instanceof Comparable) {
Class<?> c; Type[] ts, as; Type t; ParameterizedType p;
//若class為String.class的話則直接返回,因?yàn)镾tring已實(shí)現(xiàn)Comparable<String>接口
if ((c = x.getClass()) == String.class) // bypass checks
return c;
//獲取class實(shí)現(xiàn)的接口
if ((ts = c.getGenericInterfaces()) != null) {
for (int i = 0; i < ts.length; ++i) {
//遍歷所有接口
//判斷是否繼承Comparable接口
if (((t = ts[i]) instanceof ParameterizedType) &&
((p = (ParameterizedType)t).getRawType() ==
Comparable.class) &&
(as = p.getActualTypeArguments()) != null &&
as.length == 1 && as[0] == c)
//是的話直接返回class
return c;
}
}
}
return null;
}
//根據(jù)class比較兩個(gè)對(duì)象
static int compareComparables(Class<?> kc, Object k, Object x) {
return (x == null || x.getClass() != kc ? 0 :
((Comparable)k).compareTo(x));
}
//該方法一定會(huì)返回一個(gè)要么為1,要么為-1的值
//若a為null, 或者b為null,或者a的class name和b的class name相等
//則直接返回a和b的System.identityHashCode值相比較,若還是一樣的話,則返回-1
//否則返回1
static int tieBreakOrder(Object a, Object b) {
int d;
if (a == null || b == null ||
(d = a.getClass().getName().
compareTo(b.getClass().getName())) == 0)
d = (System.identityHashCode(a) <= System.identityHashCode(b) ?
-1 : 1);
return d;
}
//插入一個(gè)key-value后需要重新調(diào)整紅黑樹(shù)結(jié)構(gòu),使其達(dá)到平衡,即保證log(n)的時(shí)間復(fù)雜度
//root: 根節(jié)點(diǎn)
//x:要插入的紅黑樹(shù)節(jié)點(diǎn)
static <K,V> TreeNode<K,V> balanceInsertion(TreeNode<K,V> root,
TreeNode<K,V> x) {
x.red = true; //紅黑樹(shù)規(guī)則:新插入的節(jié)點(diǎn)顏色總是紅色的
//聲明
//xp: 要插入節(jié)點(diǎn)的父節(jié)點(diǎn)
//xpp: 要插入節(jié)點(diǎn)的爺爺節(jié)點(diǎn)
//xppl: 要插入節(jié)點(diǎn)的爺爺節(jié)點(diǎn)的左節(jié)點(diǎn)
//xppr:要插入節(jié)點(diǎn)的爺爺節(jié)點(diǎn)的右節(jié)點(diǎn)
for (TreeNode<K,V> xp, xpp, xppl, xppr;;) {
//若父節(jié)點(diǎn)為null,則當(dāng)前要插入的節(jié)點(diǎn)x為根節(jié)點(diǎn)
//將根節(jié)點(diǎn)置為黑色,返回當(dāng)前要插入的節(jié)點(diǎn)x
if ((xp = x.parent) == null) {
x.red = false;
return x;
}
//若父節(jié)點(diǎn)為黑色或者父節(jié)點(diǎn)的父節(jié)點(diǎn)為null的話,返回根節(jié)點(diǎn)
//因?yàn)楫?dāng)前父節(jié)點(diǎn)即為根節(jié)點(diǎn),且x節(jié)點(diǎn)為紅色,沒(méi)有違反紅黑樹(shù)規(guī)則
else if (!xp.red || (xpp = xp.parent) == null)
return root;
//往下執(zhí)行: 父節(jié)點(diǎn)為紅色
//若父節(jié)點(diǎn)為爺爺節(jié)點(diǎn)的左節(jié)點(diǎn)
if (xp == (xppl = xpp.left)) {
//爺爺節(jié)點(diǎn)的右節(jié)點(diǎn)不等于null且為紅色
//滿足紅黑樹(shù)插入平衡情況一: 插入節(jié)點(diǎn)的父節(jié)點(diǎn)和其叔叔節(jié)點(diǎn)(爺爺節(jié)點(diǎn)的另一個(gè)子節(jié)點(diǎn))均為紅色
//則需要執(zhí)行變色操作
if ((xppr = xpp.right) != null && xppr.red) {
xppr.red = false; //將爺爺節(jié)點(diǎn)的右節(jié)點(diǎn)置為黑色
xp.red = false; //將父節(jié)點(diǎn)置為黑色
xpp.red = true; //將爺爺節(jié)點(diǎn)置為紅色
x = xpp; //將當(dāng)前節(jié)點(diǎn)賦值為爺爺節(jié)點(diǎn),再進(jìn)行平衡操作
}
else {
//若當(dāng)前節(jié)點(diǎn)為父節(jié)點(diǎn)的右節(jié)點(diǎn)
//滿足紅黑樹(shù)插入平衡情況二: 插入節(jié)點(diǎn)的父節(jié)點(diǎn)是紅色的,叔叔節(jié)點(diǎn)(爺爺節(jié)點(diǎn)的另一個(gè)子節(jié)點(diǎn))是黑 //色的且插入節(jié)點(diǎn)是其父節(jié)點(diǎn)的右子節(jié)點(diǎn)。
//由于當(dāng)前父節(jié)點(diǎn)為爺爺節(jié)點(diǎn)的左節(jié)點(diǎn),因此這里需要將當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)作為新的節(jié)點(diǎn),
//以新的當(dāng)前節(jié)點(diǎn)為支點(diǎn)做左旋操作
if (x == xp.right) {
//將當(dāng)前節(jié)點(diǎn)設(shè)置為父節(jié)點(diǎn)且執(zhí)行左旋操作
root = rotateLeft(root, x = xp);
//重新設(shè)置爺爺節(jié)點(diǎn)和父節(jié)點(diǎn)
xpp = (xp = x.parent) == null ? null : xp.parent;
}
//若父節(jié)點(diǎn)不為空將其設(shè)置為黑色
//滿足紅黑樹(shù)插入平衡情況三: 插入節(jié)點(diǎn)的父節(jié)點(diǎn)是紅色的,叔叔節(jié)點(diǎn)(爺爺節(jié)點(diǎn)的另一個(gè)子節(jié)點(diǎn)) //是黑色的,且插入節(jié)點(diǎn)是其父節(jié)點(diǎn)的左子節(jié)點(diǎn)。
//由于當(dāng)前父節(jié)點(diǎn)為爺爺節(jié)點(diǎn)的左節(jié)點(diǎn),因此這里需要將當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)涂黑,
//爺爺節(jié)點(diǎn)涂紅,以爺爺節(jié)點(diǎn)為支點(diǎn)做右旋操作
if (xp != null) {
xp.red = false;
//若爺爺節(jié)點(diǎn)不為空,將其設(shè)置為紅色并且執(zhí)行右旋操作
if (xpp != null) {
xpp.red = true;
root = rotateRight(root, xpp);
}
}
}
}
//若父節(jié)點(diǎn)為爺爺節(jié)點(diǎn)的右節(jié)點(diǎn)
else {
//若要插入節(jié)點(diǎn)的爺爺節(jié)點(diǎn)的左節(jié)點(diǎn)非空且為紅色
//滿足紅黑樹(shù)插入平衡情況一: 插入節(jié)點(diǎn)的父節(jié)點(diǎn)和其叔叔節(jié)點(diǎn)(爺爺節(jié)點(diǎn)的另一個(gè)子節(jié)點(diǎn))均為紅色
//則需要執(zhí)行變色操作
if (xppl != null && xppl.red) {
xppl.red = false; //將要插入節(jié)點(diǎn)的爺爺節(jié)點(diǎn)的左節(jié)點(diǎn)設(shè)置為黑色
xp.red = false; //將父節(jié)點(diǎn)設(shè)置為黑色
xpp.red = true; //將爺爺節(jié)點(diǎn)設(shè)置為紅色
x = xpp; //將當(dāng)前節(jié)點(diǎn)賦值為爺爺節(jié)點(diǎn),再進(jìn)行平衡操作
}
//若要插入節(jié)點(diǎn)的爺爺節(jié)點(diǎn)的左節(jié)點(diǎn)為空或者為黑色
else {
//若當(dāng)前節(jié)點(diǎn)為父節(jié)點(diǎn)的左節(jié)點(diǎn)
//滿足紅黑樹(shù)插入平衡情況二: 插入節(jié)點(diǎn)的父節(jié)點(diǎn)是紅色的,叔叔節(jié)點(diǎn)(爺爺節(jié)點(diǎn)的另一個(gè)子節(jié)點(diǎn))是黑 //色的且插入節(jié)點(diǎn)是其父節(jié)點(diǎn)的右子節(jié)點(diǎn)。
//由于當(dāng)前父節(jié)點(diǎn)為爺爺節(jié)點(diǎn)的右節(jié)點(diǎn),因此這里需要將當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)作為新的節(jié)點(diǎn),
//以新的當(dāng)前節(jié)點(diǎn)為支點(diǎn)做右旋操作
if (x == xp.left) {
root = rotateRight(root, x = xp); //將當(dāng)前節(jié)點(diǎn)設(shè)置為父節(jié)點(diǎn)且執(zhí)行右旋操作
//重新設(shè)置爺爺節(jié)點(diǎn)和父節(jié)點(diǎn)
xpp = (xp = x.parent) == null ? null : xp.parent;
}
//若父節(jié)點(diǎn)不為空將其設(shè)置為黑色
//滿足紅黑樹(shù)插入平衡情況三: 插入節(jié)點(diǎn)的父節(jié)點(diǎn)是紅色的,叔叔節(jié)點(diǎn)(爺爺節(jié)點(diǎn)的另一個(gè)子節(jié)點(diǎn)) //是黑色的,且插入節(jié)點(diǎn)是其父節(jié)點(diǎn)的左子節(jié)點(diǎn)。
//由于當(dāng)前父節(jié)點(diǎn)為爺爺節(jié)點(diǎn)的右節(jié)點(diǎn),因此這里需要將當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)涂黑,
//爺爺節(jié)點(diǎn)涂紅,以爺爺節(jié)點(diǎn)為支點(diǎn)做左旋操作
if (xp != null) {
xp.red = false;
//若爺爺節(jié)點(diǎn)非空
if (xpp != null) {
xpp.red = true; //爺爺節(jié)點(diǎn)設(shè)置為紅色
root = rotateLeft(root, xpp); //將爺爺節(jié)點(diǎn)執(zhí)行左旋操作
}
}
}
}
}
}
//左旋操作
//root: 紅黑樹(shù)根節(jié)點(diǎn)
//p:當(dāng)前節(jié)點(diǎn)
/*
* 左旋示意圖:對(duì)節(jié)點(diǎn)x進(jìn)行左旋
* p p
* / /
* x y
* / \ / \
* lx y -----> x ry
* / \ / \
* ly ry lx ly
**/
static <K,V> TreeNode<K,V> rotateLeft(TreeNode<K,V> root,
TreeNode<K,V> p) {
//聲明r: 當(dāng)前節(jié)點(diǎn)的右節(jié)點(diǎn)
//pp:當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)
//rl: 當(dāng)前節(jié)點(diǎn)右節(jié)點(diǎn)的左節(jié)點(diǎn)
TreeNode<K,V> r, pp, rl;
//若當(dāng)前節(jié)點(diǎn)不為null且當(dāng)前節(jié)點(diǎn)的右節(jié)點(diǎn)不為空
if (p != null && (r = p.right) != null) {
//將當(dāng)前節(jié)點(diǎn)右節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)右節(jié)點(diǎn)的左節(jié)點(diǎn)
if ((rl = p.right = r.left) != null)
rl.parent = p;
//將當(dāng)前節(jié)點(diǎn)右節(jié)點(diǎn)的父節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)
//若父節(jié)點(diǎn)為null,則設(shè)置當(dāng)前節(jié)點(diǎn)的右節(jié)點(diǎn)為根節(jié)點(diǎn),同時(shí)設(shè)置為黑色
if ((pp = r.parent = p.parent) == null)
(root = r).red = false;
//當(dāng)前節(jié)點(diǎn)父節(jié)點(diǎn)非null且當(dāng)前節(jié)點(diǎn)為父節(jié)點(diǎn)的左節(jié)點(diǎn)
else if (pp.left == p)
//父節(jié)點(diǎn)的左節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)的右節(jié)點(diǎn)
pp.left = r;
//當(dāng)前節(jié)點(diǎn)為父節(jié)點(diǎn)的右節(jié)點(diǎn)
else
//將父節(jié)點(diǎn)的右節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)的右節(jié)點(diǎn)
pp.right = r;
//將當(dāng)前節(jié)點(diǎn)設(shè)置為右節(jié)點(diǎn)的左節(jié)點(diǎn)
r.left = p;
//將當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)設(shè)置為右節(jié)點(diǎn)
p.parent = r;
}
return root;
}
//右旋操作
//root: 紅黑樹(shù)根節(jié)點(diǎn)
//p:當(dāng)前節(jié)點(diǎn)
/*
* 右轉(zhuǎn)示意圖:對(duì)節(jié)點(diǎn)y進(jìn)行右旋
* p p
* / /
* y x
* / \ / \
* x ry -----> lx y
* / \ / \
* lx rx rx ry
*/
static <K,V> TreeNode<K,V> rotateRight(TreeNode<K,V> root,
TreeNode<K,V> p) {
//聲明l: 當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)
//pp:當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)
//lr: 當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)的右節(jié)點(diǎn)
TreeNode<K,V> l, pp, lr;
//當(dāng)前節(jié)點(diǎn)非null且左節(jié)點(diǎn)非null
if (p != null && (l = p.left) != null) {
//若當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)的右節(jié)點(diǎn)非null,則當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)的右節(jié)點(diǎn)的父節(jié)點(diǎn)為當(dāng)前節(jié)點(diǎn)
if ((lr = p.left = l.right) != null)
lr.parent = p;
//將當(dāng)前節(jié)點(diǎn)左節(jié)點(diǎn)的父節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)
//若父節(jié)點(diǎn)為null,則設(shè)置當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)為根節(jié)點(diǎn),同時(shí)設(shè)置為黑色
if ((pp = l.parent = p.parent) == null)
(root = l).red = false;
//當(dāng)前節(jié)點(diǎn)父節(jié)點(diǎn)非null且當(dāng)前節(jié)點(diǎn)為父節(jié)點(diǎn)的右節(jié)點(diǎn)
else if (pp.right == p)
//父節(jié)點(diǎn)的右節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)
pp.right = l;
//當(dāng)前節(jié)點(diǎn)為父節(jié)點(diǎn)的左節(jié)點(diǎn)
else
//將父節(jié)點(diǎn)的左節(jié)點(diǎn)設(shè)置為當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)
pp.left = l;
//設(shè)置左節(jié)點(diǎn)的右節(jié)點(diǎn)為當(dāng)前節(jié)點(diǎn)
l.right = p;
//設(shè)置當(dāng)前節(jié)點(diǎn)的父節(jié)點(diǎn)為左節(jié)點(diǎn)
p.parent = l;
}
return root;
}
//用于確保紅黑樹(shù)中的根節(jié)點(diǎn)為數(shù)組中的下標(biāo)節(jié)點(diǎn)(頭節(jié)點(diǎn))
//tab: 節(jié)點(diǎn)數(shù)組
//root: 紅黑樹(shù)根節(jié)點(diǎn)
static <K,V> void moveRootToFront(Node<K,V>[] tab, TreeNode<K,V> root) {
int n;
if (root != null && tab != null && (n = tab.length) > 0) {
int index = (n - 1) & root.hash; //獲取紅黑樹(shù)節(jié)點(diǎn)在數(shù)組中的下標(biāo)
TreeNode<K,V> first = (TreeNode<K,V>)tab[index]; //獲取數(shù)組下標(biāo)中的節(jié)點(diǎn)(頭節(jié)點(diǎn))
if (root != first) { //若紅黑樹(shù)的根節(jié)點(diǎn)不是頭節(jié)點(diǎn)的話
Node<K,V> rn; //聲明紅黑樹(shù)根節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)
tab[index] = root; //設(shè)置數(shù)組下標(biāo)的節(jié)點(diǎn)(頭節(jié)點(diǎn))為紅黑樹(shù)根節(jié)點(diǎn)
TreeNode<K,V> rp = root.prev; //聲明紅黑樹(shù)根節(jié)點(diǎn)的鏈表的前一個(gè)節(jié)點(diǎn)rp
if ((rn = root.next) != null) //如果紅黑樹(shù)根節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)不為空的話
//設(shè)置紅黑樹(shù)根節(jié)點(diǎn)的下一個(gè)節(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)為根節(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)
((TreeNode<K,V>)rn).prev = rp;
if (rp != null) //若根節(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)不為空
rp.next = rn; //將根節(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)設(shè)置根節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)
//若頭節(jié)點(diǎn)不為null
if (first != null)
first.prev = root; //將頭結(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)設(shè)置為紅黑樹(shù)根節(jié)點(diǎn)
root.next = first; //紅黑樹(shù)根節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)設(shè)置為頭結(jié)點(diǎn)
root.prev = null;
}
//檢查紅黑樹(shù)是否正常
assert checkInvariants(root);
}
}
//遞歸檢查紅黑樹(shù)是否正常
//紅黑樹(shù)基本規(guī)則:
//1.每個(gè)節(jié)點(diǎn)不是紅色就是黑色的;
//2.根節(jié)點(diǎn)總是黑色的;
//3.如果節(jié)點(diǎn)是紅色的,則它的子節(jié)點(diǎn)必須是黑色的(反之不一定),(也就是從每個(gè)葉子到根的所有路徑上不能有兩個(gè)連續(xù)的紅色節(jié)點(diǎn));
static <K,V> boolean checkInvariants(TreeNode<K,V> t) {
//聲明父節(jié)點(diǎn),左節(jié)點(diǎn),右節(jié)點(diǎn),前節(jié)點(diǎn),后節(jié)點(diǎn)
TreeNode<K,V> tp = t.parent, tl = t.left, tr = t.right,
tb = t.prev, tn = (TreeNode<K,V>)t.next;
//若前節(jié)點(diǎn)不為null且前節(jié)點(diǎn)的后節(jié)點(diǎn)不等于當(dāng)前節(jié)點(diǎn),證明和鏈表中位置不一致,異常
if (tb != null && tb.next != t)
return false;
//若后節(jié)點(diǎn)不為null且后節(jié)點(diǎn)的前節(jié)點(diǎn)不等于當(dāng)前節(jié)點(diǎn),證明和鏈表中位置不一致,異常
if (tn != null && tn.prev != t)
return false;
//若父節(jié)點(diǎn)不為null,且當(dāng)前節(jié)點(diǎn)不是父節(jié)點(diǎn)的左節(jié)點(diǎn)又不是父節(jié)點(diǎn)的右節(jié)點(diǎn),異常
if (tp != null && t != tp.left && t != tp.right)
return false;
//若當(dāng)前左節(jié)點(diǎn)不為null且左節(jié)點(diǎn)的父節(jié)點(diǎn)不等于當(dāng)前節(jié)點(diǎn)或者左節(jié)點(diǎn)的hash值比當(dāng)前節(jié)點(diǎn)的hash值大的話,異常
if (tl != null && (tl.parent != t || tl.hash > t.hash))
return false;
//若當(dāng)前右節(jié)點(diǎn)不為null且右節(jié)點(diǎn)的父節(jié)點(diǎn)不等于當(dāng)前節(jié)點(diǎn)或右節(jié)點(diǎn)的hash值比當(dāng)前節(jié)點(diǎn)的hash值小的話,異常
if (tr != null && (tr.parent != t || tr.hash < t.hash))
return false;
//若當(dāng)前節(jié)點(diǎn)為紅色,且左節(jié)點(diǎn)不為空且為紅色,且右節(jié)點(diǎn)不為空且為紅色,異常
if (t.red && tl != null && tl.red && tr != null && tr.red)
return false;
//若左節(jié)點(diǎn)不為nul則遞歸判斷左節(jié)點(diǎn)
if (tl != null && !checkInvariants(tl))
return false;
//若左節(jié)點(diǎn)不為nul則遞歸判斷右節(jié)點(diǎn)
if (tr != null && !checkInvariants(tr))
return false;
//紅黑樹(shù)結(jié)構(gòu)正常,返回true
return true;
}
//紅黑樹(shù)的put操作
//map: 要put的hash map
//tab: 數(shù)組
//h: 要put的key-value的key的hash值
//k: 要put的key-value的key
//v: 要put的key-value的value
final TreeNode<K,V> putTreeVal(HashMap<K,V> map, Node<K,V>[] tab,
int h, K k, V v) {
Class<?> kc = null; //聲明key的class臨時(shí)變量
boolean searched = false; //聲明是否搜索過(guò)的bool臨時(shí)變量
TreeNode<K,V> root = (parent != null) ? root() : this; //獲取根節(jié)點(diǎn)
//p為當(dāng)前節(jié)點(diǎn),從當(dāng)前紅黑樹(shù)的根節(jié)點(diǎn)遍歷,找到要put的kay-value的key的對(duì)應(yīng)節(jié)點(diǎn)或者
//得到新節(jié)點(diǎn)在紅黑樹(shù)的位置
for (TreeNode<K,V> p = root;;) {
int dir, ph; K pk; //聲明方向,當(dāng)前節(jié)點(diǎn)的hash值,當(dāng)前節(jié)點(diǎn)的key
//若要put的key-value的key的hash值比當(dāng)前節(jié)點(diǎn)hash值小
if ((ph = p.hash) > h)
dir = -1; //在當(dāng)前節(jié)點(diǎn)左邊
//若要put的key-value的key的hash值比當(dāng)前節(jié)點(diǎn)hash值大
else if (ph < h)
dir = 1; //在當(dāng)前節(jié)點(diǎn)右邊
//若要put的key-value的key與當(dāng)前紅黑樹(shù)節(jié)點(diǎn)的key相等,直接返回當(dāng)前節(jié)點(diǎn)
else if ((pk = p.key) == k || (k != null && k.equals(pk)))
return p;
//若還沒(méi)得到方向的話,下面代碼保證得到一個(gè)方向值
else if ((kc == null &&
//若key的class實(shí)現(xiàn)了Comparable接口的話,直接比較兩個(gè)key,得到方向
(kc = comparableClassFor(k)) == null) ||
(dir = compareComparables(kc, k, pk)) == 0) {
//判斷是否搜索過(guò)
//該方法代表在put的時(shí)候會(huì)從紅黑樹(shù)中查找對(duì)應(yīng)的key是否存在,若存在的話,
//直接返回在紅黑樹(shù)中找到的節(jié)點(diǎn)。否則會(huì)將put的key-value封裝成一個(gè)紅黑樹(shù)節(jié)點(diǎn)
//插入到紅黑樹(shù)中
if (!searched) {
TreeNode<K,V> q, ch; //聲明查找到的節(jié)點(diǎn)q和臨時(shí)節(jié)點(diǎn)遍歷ch
searched = true; //將搜索標(biāo)識(shí)置為true
//若當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn)不為null并且從左節(jié)點(diǎn)開(kāi)始查找節(jié)點(diǎn),查找到的節(jié)點(diǎn)不為空的話
//返回查找到的節(jié)點(diǎn)
if (((ch = p.left) != null &&
(q = ch.find(h, k, kc)) != null)
||
//或
//若當(dāng)前節(jié)點(diǎn)的右節(jié)點(diǎn)不為null并且從右節(jié)點(diǎn)開(kāi)始查找節(jié)點(diǎn),查找到的節(jié)點(diǎn)不為空的話
//返回查找到的節(jié)點(diǎn)
((ch = p.right) != null &&
(q = ch.find(h, k, kc)) != null))
return q;
}
//該方法一定會(huì)返回一個(gè)要么為1,要么為-1的值(即一定會(huì)得到一個(gè)左/右的方向)
dir = tieBreakOrder(k, pk);
}
//程序執(zhí)行到這里證明要新創(chuàng)建一個(gè)紅黑樹(shù)節(jié)點(diǎn),并將其插入的紅黑樹(shù)中
TreeNode<K,V> xp = p; //聲明父節(jié)點(diǎn)
//判斷要插入的方向
if ((p = (dir <= 0) ? p.left : p.right) == null) {
Node<K,V> xpn = xp.next; //聲明父節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)
//根據(jù)key的hash值、key、value、父節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)創(chuàng)建一個(gè)紅黑樹(shù)節(jié)點(diǎn)
TreeNode<K,V> x = map.newTreeNode(h, k, v, xpn);
//新節(jié)點(diǎn)在父節(jié)點(diǎn)的位置
//即為父節(jié)點(diǎn)的左節(jié)點(diǎn)或右節(jié)點(diǎn)
if (dir <= 0)
xp.left = x;
else
xp.right = x;
//父節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)為新節(jié)點(diǎn)
xp.next = x;
//新節(jié)點(diǎn)的父節(jié)點(diǎn)和新節(jié)點(diǎn)的前節(jié)點(diǎn)都為父節(jié)點(diǎn)
x.parent = x.prev = xp;
//如果父節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)不為null的話,將父節(jié)點(diǎn)的后一個(gè)節(jié)點(diǎn)的前一個(gè)節(jié)點(diǎn)設(shè)置為新節(jié)點(diǎn)
if (xpn != null)
((TreeNode<K,V>)xpn).prev = x;
//重新平衡紅黑樹(shù)后檢查樹(shù)結(jié)構(gòu)再移動(dòng)根節(jié)點(diǎn)為數(shù)組下標(biāo)節(jié)點(diǎn)(頭節(jié)點(diǎn))
moveRootToFront(tab, balanceInsertion(root, x));
return null;
}
}
}
//返回包含此節(jié)點(diǎn)的紅黑樹(shù)的根節(jié)點(diǎn)
final TreeNode<K,V> root() {
for (TreeNode<K,V> r = this, p;;) {
if ((p = r.parent) == null)
return r;
r = p;
}
}
//根據(jù)key的hash值,key,key的class,從紅黑樹(shù)的當(dāng)前節(jié)點(diǎn)開(kāi)始,找到對(duì)應(yīng)的節(jié)點(diǎn)
//h: key的hash值
//k: key
//kc: key的class
final TreeNode<K,V> find(int h, Object k, Class<?> kc) {
TreeNode<K,V> p = this; //賦值當(dāng)前節(jié)點(diǎn)
do {
int ph, dir; K pk; //聲明當(dāng)前key的hash值,方向,key
TreeNode<K,V> pl = p.left, pr = p.right, q; //聲明當(dāng)前節(jié)點(diǎn)的左節(jié)點(diǎn),右節(jié)點(diǎn),q為查找節(jié)點(diǎn)
if ((ph = p.hash) > h)
p = pl; //如果當(dāng)前節(jié)點(diǎn)的hash值大于key的hash值,則將當(dāng)前節(jié)點(diǎn)賦值為左節(jié)點(diǎn)繼續(xù)查找
else if (ph < h)
p = pr; //如果當(dāng)前節(jié)點(diǎn)的hash值小于key的hash值,則將當(dāng)前節(jié)點(diǎn)賦值為右節(jié)點(diǎn)繼續(xù)查找
else if ((pk = p.key) == k || (k != null && k.equals(pk)))
return p; //如果hash值等于key的hash值,返回當(dāng)前節(jié)點(diǎn),證明找到了
else if (pl == null) //如果左節(jié)點(diǎn)為null,則將當(dāng)前節(jié)點(diǎn)當(dāng)前賦值為右節(jié)點(diǎn)繼續(xù)查找
p = pr;
else if (pr == null) //如果右節(jié)點(diǎn)為null,則將當(dāng)前節(jié)點(diǎn)當(dāng)前賦值為左節(jié)點(diǎn)繼續(xù)查找
p = pl;
//若key的class實(shí)現(xiàn)了Comparable接口的話,通過(guò)Comparable接口比較兩個(gè)key的大小
//將當(dāng)前節(jié)點(diǎn)賦值為對(duì)應(yīng)的方向的節(jié)點(diǎn)
else if ((kc != null ||
(kc = comparableClassFor(k)) != null) &&
(dir = compareComparables(kc, k, pk)) != 0)
p = (dir < 0) ? pl : pr;
//若在上面接口得到kc后,這里通過(guò)find再尋找一次
//若不為null,證明已找到對(duì)應(yīng)key的節(jié)點(diǎn),返回
else if ((q = pr.find(h, k, kc)) != null)
return q;
//否當(dāng)前節(jié)點(diǎn)直接賦值為左節(jié)點(diǎn)再繼續(xù)查找
else
p = pl;
} while (p != null); //若當(dāng)前節(jié)點(diǎn)不為null,繼續(xù)查找
return null;
}