• HashMap源码


    阅读java1.8的hashmap,罗列一些特性,jdk的代码永远是挖不完的宝藏。
     
    1,可以用null做为key和value
    2,capacity和load factor影响性能
    3,线程不安全,外部用同步对象控制,还可以用synchronizedMap
    4,当key的hashcode都相同时,如果支持Comparable,则进行排序降低影响
    5,迭代时并发更改了map,则会抛出ConcurrentModificationException
    6,当元素拥挤时,会将列表转变成树,优化性能,缩减时会恢复为链表。实验 
    7,hash(key)核心hash算法,在长度为2的幂前提下,hash值高位下移16位,参与取模,降低碰撞,另外取模部分利用2的幂减1来做&操作提高了性能。
    8,链表状态下碰撞元素加入时是放入链表尾部,联想到redis放入元素是放入头部,因为它认为最近放入的元素可能最容易被使用。
    9,继承Serializable接口,可是字段使用transient修饰,比如table,entrySet。原因是hashcode操作依赖jvm所处的环境因素,不同环境可能有不同的hash值,做一现成存储的内容既是序列化也无法通用.所以hashmap自己实现了writeObject和readObject,这里就需要知道java在序列化和反序列化一个类时是先调用writeObject和readObject,如果没有默认调用的是ObjectOutputStream的defaultWriteObject以及ObjectInputStream的defaultReadObject方法。参考
    10,优化部分中的树,查找自己位置时折半查找效率高于链表,而删除操作效率低于链表。树中当两个节点的hash一样,会利用compareTo方法比较,如果还是相同,就使用identityHashCode进行比较。
    11,源码中提到了泊松分布为什么是?
    11,LinkedHashMap作为它的子类用模版方法的方式实现了排序的功能,可以看见LinkedHashMap源码中Entry定义了before,after来定义自己元素的前后。存储结构完全使用hashmap一套,只是用另外一个线路链接起全部元素。
     
    package map;
    
    /*
     * Copyright (c) 1997, 2013, Oracle and/or its affiliates. All rights reserved.
     * ORACLE PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
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    import java.io.IOException;
    import java.io.InvalidObjectException;
    import java.io.Serializable;
    import java.lang.reflect.ParameterizedType;
    import java.lang.reflect.Type;
    import java.util.*;
    
    
    /**
     * Hash table based implementation of the <tt>Map</tt> interface.  This
     * implementation provides all of the optional map operations, and permits
     * <tt>null</tt> values and the <tt>null</tt> key.  (The <tt>HashMap</tt>
     * class is roughly equivalent to <tt>Hashtable</tt>, except that it is
     * unsynchronized and permits nulls.)  This class makes no guarantees as to
     * the order of the map; in particular, it does not guarantee that the order
     * will remain constant over time.
     *
     * 实现了map的所有操作方法,HashMap类似于Hashtable,不同的地方是不同步和允许null作为key或value.
     * 作为HashMap不保证元素的顺序,也不保证顺序的不变.
     *
     * <p>This implementation provides constant-time performance for the basic
     * operations (<tt>get</tt> and <tt>put</tt>), assuming the hash function
     * disperses the elements properly among the buckets.  Iteration over
     * collection views requires time proportional to the "capacity" of the
     * <tt>HashMap</tt> instance (the number of buckets) plus its size (the number
     * of key-value mappings).  Thus, it's very important not to set the initial
     * capacity too high (or the load factor too low) if iteration performance is
     * important.
     *
     * 假定hash方法能把元素适当的分配在各个桶里,对于put,get操作,是固定时间消耗性能的.
     * 迭代整个容器的性能和capacity加上元素数量成正比,
     * 所以如果需要有一个比较好的迭代性能,就不要设置太大的capacity,或者不要设置load factor太低.
     *
     * <p>An instance of <tt>HashMap</tt> has two parameters that affect its
     * performance: <i>initial capacity</i> and <i>load factor</i>.  The
     * <i>capacity</i> is the number of buckets in the hash table, and the initial
     * capacity is simply the capacity at the time the hash table is created.  The
     * <i>load factor</i> is a measure of how full the hash table is allowed to
     * get before its capacity is automatically increased.  When the number of
     * entries in the hash table exceeds the product of the load factor and the
     * current capacity, the hash table is <i>rehashed</i> (that is, internal data
     * structures are rebuilt) so that the hash table has approximately twice the
     * number of buckets.
     *
     * HashMap的性能受两个因素影响:初始capacity和load factor.
     * 初始capacity就是hash表的容量,这里就是数组的长度.
     * load factor 负载因子,就是决定hash表中用掉多少容量时,进行自动扩充容量的因子.
     * 当超过了设置的负载因子计算所得的数量,就会调用rehashed方法,重新构建容器,最终转变为一个两倍于原来容量的map.
     *
     * <p>As a general rule, the default load factor (.75) offers a good
     * tradeoff between time and space costs.  Higher values decrease the
     * space overhead but increase the lookup cost (reflected in most of
     * the operations of the <tt>HashMap</tt> class, including
     * <tt>get</tt> and <tt>put</tt>).  The expected number of entries in
     * the map and its load factor should be taken into account when
     * setting its initial capacity, so as to minimize the number of
     * rehash operations.  If the initial capacity is greater than the
     * maximum number of entries divided by the load factor, no rehash
     * operations will ever occur.
     *
     * 一般,默认负载因子设置为.75是一个比较好的对时间和空间花费之间权衡.
     * 值越大虽然减少空间开销,但是增加量查询开销,get,put操作都又体现.
     * 为了最小化rehash操作(毕竟想想这种操作必然需要巨大开销),map中元素数量及负载因子都是设置初始capacity时需要考虑的.
     * 如果初始capacity大于元素的最大值除以负载因子,将不会再进行rehash操作,已经不能再扩大capacity了.
     *
     * <p>If many mappings are to be stored in a <tt>HashMap</tt>
     * instance, creating it with a sufficiently large capacity will allow
     * the mappings to be stored more efficiently than letting it perform
     * automatic rehashing as needed to grow the table.  Note that using
     * many keys with the same {@code hashCode()} is a sure way to slow
     * down performance of any hash table. To ameliorate impact, when keys
     * are {@link Comparable}, this class may use comparison order among
     * keys to help break ties.
     *
     * 如果你预计又很多元素将存入map,那么主动设置capacity大一点,有助于减少rehashing的次数,从而提高性能.
     * 如果很多关键字的哈希值相同, 会降低哈希表的性能。 为了降低这个影响, 当键支持java.lang.Comparable时, 可以对关键字做次排序以降低影响
     *
     * <p><strong>Note that this implementation is not synchronized.</strong>
     * If multiple threads access a hash map concurrently, and at least one of
     * the threads modifies the map structurally, it <i>must</i> be
     * synchronized externally.  (A structural modification is any operation
     * that adds or deletes one or more mappings; merely changing the value
     * associated with a key that an instance already contains is not a
     * structural modification.)  This is typically accomplished by
     * synchronizing on some object that naturally encapsulates the map.
     *
     * If no such object exists, the map should be "wrapped" using the
     * {@link Collections#synchronizedMap Collections.synchronizedMap}
     * method.  This is best done at creation time, to prevent accidental
     * unsynchronized access to the map:<pre>
     *   Map m = Collections.synchronizedMap(new HashMap(...));</pre>
     *
     * 注意hashmap的实现是不同步的,如果有并发访问map,至少一个线程改变map结构的场景,外部必须做同步操作.
     * 一般,操作map需要一些同步对象来封装map.如果没有这样的对象,那么需要用synchronizedMap来封装.
     *
     * <p>The iterators returned by all of this class's "collection view methods"
     * are <i>fail-fast</i>: if the map is structurally modified at any time after
     * the iterator is created, in any way except through the iterator's own
     * <tt>remove</tt> method, the iterator will throw a
     * {@link ConcurrentModificationException}.  Thus, in the face of concurrent
     * modification, the iterator fails quickly and cleanly, rather than risking
     * arbitrary, non-deterministic behavior at an undetermined time in the
     * future.
     *
     * 所有集合视图方法返回的迭代器都有fail-fast机制:如果map在iterator创建之后结构进行了改变则会抛出ConcurrentModificationException
     * 如此,并发修改时,迭代器快速清晰的失败,远比不管情况,不确定操作带来风险要好.
     *
     * <p>Note that the fail-fast behavior of an iterator cannot be guaranteed
     * as it is, generally speaking, impossible to make any hard guarantees in the
     * presence of unsynchronized concurrent modification.  Fail-fast iterators
     * throw <tt>ConcurrentModificationException</tt> on a best-effort basis.
     * Therefore, it would be wrong to write a program that depended on this
     * exception for its correctness: <i>the fail-fast behavior of iterators
     * should be used only to detect bugs.</i>
     *
     * 注意,一般不可能保证在一个线程不安全的操作中这种fail-fast机制.
     * 抛出ConcurrentModificationException只能说是尽最大努力.
     * 因此在自己的代码里不要依赖抛出这个异常.它只用于发现bug!
     *
     * <p>This class is a member of the
     * <a href="{@docRoot}/../technotes/guides/collections/index.html">
     * Java Collections Framework</a>.
     *
     * 地址:http://docs.oracle.com/javase/8/docs/technotes/guides/collections/index.html
     * 这里可以获得官方对容器的详细解释,值得一读.
     *
     * @param <K> the type of keys maintained by this map
     * @param <V> the type of mapped values
     *
     * @author  Doug Lea
     * @author  Josh Bloch
     * @author  Arthur van Hoff
     * @author  Neal Gafter
     * @see     Object#hashCode()
     * @see     Collection
     * @see     Map
     * @see     TreeMap
     * @see     Hashtable
     * @since   1.2
     */
    public class HashMap<K,V> extends AbstractMap<K,V>
            implements Map<K,V>, Cloneable, Serializable {
    
        private static final long serialVersionUID = 362498820763181265L;
    
        /*
         * Implementation notes.
         *
         * This map usually acts as a binned (bucketed) hash table, but
         * when bins get too large, they are transformed into bins of
         * TreeNodes, each structured similarly to those in
         * java.util.TreeMap. Most methods try to use normal bins, but
         * relay to TreeNode methods when applicable (simply by checking
         * instanceof a node).  Bins of TreeNodes may be traversed and
         * used like any others, but additionally support faster lookup
         * when overpopulated. However, since the vast majority of bins in
         * normal use are not overpopulated, checking for existence of
         * tree bins may be delayed in the course of table methods.
         *
         * map一般作为一个个桶组成的hash表,当数量很多的时候,会转变成TreeNodes(树节点),这样结构上类似TreeMap.
         * TreeNodes可能进行了转化,使用起来和其他非TreeNodes一样,但是提供了较快速度的遍历效率.
         * 然而大多数场景下出现很多元素拥挤的情况不会出现,可是检查是否是tree bins将会在使用各个方法时消耗性能.
         * 那就要看这个判断的性能是不是需要很大消耗了.
         * 我们知道hashmap的实现时数组+链表,在链表拥挤情况时,将它传变成树,有助于查询,但是如果是加减元素就不好说了.
         *
         * Tree bins (i.e., bins whose elements are all TreeNodes) are
         * ordered primarily by hashCode, but in the case of ties, if two
         * elements are of the same "class C implements Comparable<C>",
         * type then their compareTo method is used for ordering. (We
         * conservatively check generic types via reflection to validate
         * this -- see method comparableClassFor).  The added complexity
         * of tree bins is worthwhile in providing worst-case O(log n)
         * operations when keys either have distinct hashes or are
         * orderable, Thus, performance degrades gracefully under
         * accidental or malicious usages in which hashCode() methods
         * return values that are poorly distributed, as well as those in
         * which many keys share a hashCode, so long as they are also
         * Comparable. (If neither of these apply, we may waste about a
         * factor of two in time and space compared to taking no
         * precautions. But the only known cases stem from poor user
         * programming practices that are already so slow that this makes
         * little difference.)
         *
         * Tree bins排序核心依赖hashCode,这里说的排序其实就是算出自己在数组中的下标,
         * 如果有两个元素都class C implements Comparable<C>,compareTo 方法会被用于排序.
         * (我们使用反射去见这个类型,方法:comparableClassFor)
         * 无论在不同hash值或和排序的情况下都证明算法复杂度是 O(log n),所以tree bins 带来的复杂度是值得的.
         * 因此,即时在hashCode出来的值不够充分的分散,因为是树的原因,性能变差的过程也会比较平滑.
         *
         * Because TreeNodes are about twice the size of regular nodes, we
         * use them only when bins contain enough nodes to warrant use
         * (see TREEIFY_THRESHOLD). And when they become too small (due to
         * removal or resizing) they are converted back to plain bins.  In
         * usages with well-distributed user hashCodes, tree bins are
         * rarely used.  Ideally, under random hashCodes, the frequency of
         * nodes in bins follows a Poisson distribution
         * (http://en.wikipedia.org/wiki/Poisson_distribution) with a
         * parameter of about 0.5 on average for the default resizing
         * threshold of 0.75, although with a large variance because of
         * resizing granularity. Ignoring variance, the expected
         * occurrences of list size k are (exp(-0.5) * pow(0.5, k) /
         * factorial(k)). The first values are:
         *
         * 0:    0.60653066
         * 1:    0.30326533
         * 2:    0.07581633
         * 3:    0.01263606
         * 4:    0.00157952
         * 5:    0.00015795
         * 6:    0.00001316
         * 7:    0.00000094
         * 8:    0.00000006
         * more: less than 1 in ten million
         *
         * 当一个桶里有足够多的节点是才会将结构转成tree,目前TREEIFY_THRESHOLD默认设置为8,当变少的时候,也会转换为原来平的链表结构.
         * 如果hashCodes是均匀分散的,这种转成tree基本用不到.
         * 理想的分布应该是泊松分布.
         * 这里有点难理解,查了很多资料,有了以下详细解释:
         * 这里提到泊松分布,可以看wiki,也可以看下推荐的博文:http://www.ruanyifeng.com/blog/2015/06/poisson-distribution.html
         * 在文档上无法用数学公式和图片,所以下面对注释众提到的公式进行解析:
         * exp : 指数函数
         * pow : 乘方运算
         * factorial : 阶乘
         * (exp(-0.5) * pow(0.5, k) / factorial(k)) 这个公式是可以对应到泊松分布的公式的.
         * 这个0.5的意思是表示在这里假定元素数量占桶数量的百分50,而threshold是0.75,元素在某个桶里的概率是0.5.
         * 所以我们以这个概率为基础数据算出,桶里有1-8个元素的概率,如数据.当有8个元素在一个桶里时的概率非常低,
         * 在这里也解释了,如果出现需要将链表转成树的情况出现,已经表示不合理的场景出现了.
         *
         * The root of a tree bin is normally its first node.  However,
         * sometimes (currently only upon Iterator.remove), the root might
         * be elsewhere, but can be recovered following parent links
         * (method TreeNode.root()).
         * 一般树的根是第一个加入的node,也有其他情况,比如remove掉了root,不过可以重新分配出root.
         * 这里加一下信息:
         * redis中,在处理这种情况时是把新加入的元素放在链表的头部,在它的场景里最近加入的元素越容易被用到
         *
         * All applicable internal methods accept a hash code as an
         * argument (as normally supplied from a public method), allowing
         * them to call each other without recomputing user hashCodes.
         * Most internal methods also accept a "tab" argument, that is
         * normally the current table, but may be a new or old one when
         * resizing or converting.
         *
         * 所有的内部方法都可以接受一个hash code来做为参数,如此内部调用的时候完全可以通过这个参数而不需要重新计算hashCodes.
         * 大部分内部方法也接受一个tab参数,一般这个有是现在的表的,在resizing或converting的时候也有可能代表新表或老表的.
         *
         * When bin lists are treeified, split, or untreeified, we keep
         * them in the same relative access/traversal order (i.e., field
         * Node.next) to better preserve locality, and to slightly
         * simplify handling of splits and traversals that invoke
         * iterator.remove. When using comparators on insertion, to keep a
         * total ordering (or as close as is required here) across
         * rebalancings, we compare classes and identityHashCodes as
         * tie-breakers.
         *
         * The use and transitions among plain vs tree modes is
         * complicated by the existence of subclass LinkedHashMap. See
         * below for hook methods defined to be invoked upon insertion,
         * removal and access that allow LinkedHashMap internals to
         * otherwise remain independent of these mechanics. (This also
         * requires that a map instance be passed to some utility methods
         * that may create new nodes.)
         *
         * The concurrent-programming-like SSA-based coding style helps
         * avoid aliasing errors amid all of the twisty pointer operations.
         */
    
        /**
         * The default initial capacity - MUST be a power of two.
         * 默认初始capacity,必须是2的幂.
         */
        static final int DEFAULT_INITIAL_CAPACITY = 1 << 4; // aka 16
    
        /**
         * The maximum capacity, used if a higher value is implicitly specified
         * by either of the constructors with arguments.
         * MUST be a power of two <= 1<<30.
         * capacity最大值2的30幂次
         */
        static final int MAXIMUM_CAPACITY = 1 << 30;
    
        /**
         * The load factor used when none specified in constructor.
         * 负载因子
         */
        static final float DEFAULT_LOAD_FACTOR = 0.75f;
    
        /**
         * The bin count threshold for using a tree rather than list for a
         * bin.  Bins are converted to trees when adding an element to a
         * bin with at least this many nodes. The value must be greater
         * than 2 and should be at least 8 to mesh with assumptions in
         * tree removal about conversion back to plain bins upon
         * shrinkage.
         * 当一个链表上的元素到8个的时候,会转成树结构
         */
        static final int TREEIFY_THRESHOLD = 8;
    
        /**
         * The bin count threshold for untreeifying a (split) bin during a
         * resize operation. Should be less than TREEIFY_THRESHOLD, and at
         * most 6 to mesh with shrinkage detection under removal.
         * 当元素减小到6个时会从树转成链表
         */
        static final int UNTREEIFY_THRESHOLD = 6;
    
        /**
         * The smallest table capacity for which bins may be treeified.
         * (Otherwise the table is resized if too many nodes in a bin.)
         * Should be at least 4 * TREEIFY_THRESHOLD to avoid conflicts
         * between resizing and treeification thresholds.
         * 当发生链表转树这种情况,需要满足capacity必须大于64(8的四倍),
         * 容量大于这个值时,表中的桶才能进行树形化
         */
        static final int MIN_TREEIFY_CAPACITY = 64;
    
        /**
         * Basic hash bin node, used for most entries.  (See below for
         * TreeNode subclass, and in LinkedHashMap for its Entry subclass.)
         *
         * 这个就是核心数据结构,一个node对应一个key-value元素,hash表示自己在哪个桶里的,next表示链表结构.
         */
        static class Node<K,V> implements Map.Entry<K,V> {
            final int hash;
            final K key;
            V value;
            Node<K,V> next;
    
            Node(int hash, K key, V value, Node<K,V> next) {
                this.hash = hash;
                this.key = key;
                this.value = value;
                this.next = next;
            }
    
            public final K getKey()        { return key; }
            public final V getValue()      { return value; }
            public final String toString() { return key + "=" + value; }
    
            public final int hashCode() {
                return Objects.hashCode(key) ^ Objects.hashCode(value);
            }
    
            public final V setValue(V newValue) {
                V oldValue = value;
                value = newValue;
                return oldValue;
            }
    
            public final boolean equals(Object o) {
                if (o == this)
                    return true;
                if (o instanceof Map.Entry) {
                    Map.Entry<?,?> e = (Map.Entry<?,?>)o;
                    if (Objects.equals(key, e.getKey()) &&
                            Objects.equals(value, e.getValue()))
                        return true;
                }
                return false;
            }
        }
    
        /* ---------------- Static utilities -------------- */
    
        /**
         * Computes key.hashCode() and spreads (XORs) higher bits of hash
         * to lower.  Because the table uses power-of-two masking, sets of
         * hashes that vary only in bits above the current mask will
         * always collide. (Among known examples are sets of Float keys
         * holding consecutive whole numbers in small tables.)  So we
         * apply a transform that spreads the impact of higher bits
         * downward. There is a tradeoff between speed, utility, and
         * quality of bit-spreading. Because many common sets of hashes
         * are already reasonably distributed (so don't benefit from
         * spreading), and because we use trees to handle large sets of
         * collisions in bins, we just XOR some shifted bits in the
         * cheapest possible way to reduce systematic lossage, as well as
         * to incorporate impact of the highest bits that would otherwise
         * never be used in index calculations because of table bounds.
         *
         * 代码中是将key的hashCode和高16位进行了异或操作
         * 注意到我们table的长度必然为2的幂,这里有一点要注意在取模的操作里如果是和素数(质数)取模比和合数取模冲突的概率要低.
         * 合数既然可以由自身以外的数除尽,哪些可以相乘得到这个合数,这些乘数或乘数的倍数,都是潜在引起冲突的值.
         * 所以作者解释了把高位的16位下移,做一个异或操作(XOR),保证了高位参与hash值取模时参加计算,这是在权衡了速度,质量和实用性上进行的妥协.
         *
         */
        static final int hash(Object key) {
            int h;
            // 对key的hashCode得到值再修饰一下
            return (key == null) ? 0 : (h = key.hashCode()) ^ (h >>> 16);
        }
    
        /**
         * Returns x's Class if it is of the form "class C implements
         * Comparable<C>", else null.
         *
         * 如果实现了Comparable,返回x的实际类型,也就是Class<C>,否则返回null.
         * 例子:public class AppVersion implements Comparable<AppVersion>
         */
        static Class<?> comparableClassFor(Object x) {
            if (x instanceof Comparable) {
                Class<?> c; Type[] ts, as; Type t; ParameterizedType p;
                if ((c = x.getClass()) == String.class) // bypass checks
                    return c;
                if ((ts = c.getGenericInterfaces()) != null) {
                    for (int i = 0; i < ts.length; ++i) {
                        if (((t = ts[i]) instanceof ParameterizedType) &&
                                ((p = (ParameterizedType)t).getRawType() ==
                                        Comparable.class) &&
                                (as = p.getActualTypeArguments()) != null &&
                                as.length == 1 && as[0] == c) // type arg is c
                            return c;
                    }
                }
            }
            return null;
        }
    
        /**
         * Returns k.compareTo(x) if x matches kc (k's screened comparable
         * class), else 0.
         */
        @SuppressWarnings({"rawtypes","unchecked"}) // for cast to Comparable
        static int compareComparables(Class<?> kc, Object k, Object x) {
            return (x == null || x.getClass() != kc ? 0 :
                    ((Comparable)k).compareTo(x));
        }
    
        /**
         * Returns a power of two size for the given target capacity.
         * 返回一个2的幂大小的数,这个数比cap大.
         */
        static final int tableSizeFor(int cap) {
            int n = cap - 1;
            // cap的二进制里低位全部转成1
            // 解释一个:n |= n >>> 1 ==> n = n>>>1 | n
            // 假设n= 0001 xxxx xxxx xxxx
            // 计算:0001 xxxx xxxx xxxx | 0000 1xxx xxxx xxxx => 0001 1xxx xxxx xxxx
            // 此时最高位就是两个连续的1,然后操作n |= n >>> 2,那么就变成 0001 111x xxxx xxxx
            // 所以变1的节奏个数是:1 2 4 8 16 相加 31 刚好足够把32位的一个值低位全部变成1.
            // 只不过cap最大也就是2的30次
            n |= n >>> 1;
            n |= n >>> 2;
            n |= n >>> 4;
            n |= n >>> 8;
            n |= n >>> 16;
            return (n < 0) ? 1 : (n >= MAXIMUM_CAPACITY) ? MAXIMUM_CAPACITY : n + 1;
        }
    
        /* ---------------- Fields -------------- */
    
        /**
         * The table, initialized on first use, and resized as
         * necessary. When allocated, length is always a power of two.
         * (We also tolerate length zero in some operations to allow
         * bootstrapping mechanics that are currently not needed.)
         * 所以我们说hashmap的核心数据结构就是一个装着node的数组 我们注意到字段使用transient修饰,不参与序列化,可是hashmap继承Serializable.
         * 原因是hashcode操作依赖jvm所处的环境因素,不同环境可能有不同的hash值,做一现成存储的内容既是序列化也无法通用.所以hashmap自己实现了writeObject和readObject
         * 这里就需要知道java在序列化和反序列化一个类时是先调用writeObject和readObject,如果没有默认调用的是ObjectOutputStream的defaultWriteObject以及ObjectInputStream的defaultReadObject方法
         */
        transient Node<K,V>[] table;
    
        /**
         * Holds cached entrySet(). Note that AbstractMap fields are used
         * for keySet() and values().
         *
         */
        transient Set<Map.Entry<K,V>> entrySet;
    
        /**
         * The number of key-value mappings contained in this map.
         * 记录有多少元素存进来了
         */
        transient int size;
    
        /**
         * The number of times this HashMap has been structurally modified
         * Structural modifications are those that change the number of mappings in
         * the HashMap or otherwise modify its internal structure (e.g.,
         * rehash).  This field is used to make iterators on Collection-views of
         * the HashMap fail-fast.  (See ConcurrentModificationException).
         * 前面提到过在迭代的时候如果改变了map的结构是要抛异常的,这个数用于记录改变的次数.
         */
        transient int modCount;
    
        /**
         * The next size value at which to resize (capacity * load factor).
         * 判断什么时候可以resize了
         * @serial
         */
        // (The javadoc description is true upon serialization.
        // Additionally, if the table array has not been allocated, this
        // field holds the initial array capacity, or zero signifying
        // DEFAULT_INITIAL_CAPACITY.)
        int threshold;
    
        /**
         * The load factor for the hash table.
         * 负载因子
         * @serial
         */
        final float loadFactor;
    
        /* ---------------- Public operations -------------- */
    
        /**
         * Constructs an empty <tt>HashMap</tt> with the specified initial
         * capacity and load factor.
         *
         * @param  initialCapacity the initial capacity
         * @param  loadFactor      the load factor
         * @throws IllegalArgumentException if the initial capacity is negative
         *         or the load factor is nonpositive
         */
        public HashMap(int initialCapacity, float loadFactor) {
            if (initialCapacity < 0)
                throw new IllegalArgumentException("Illegal initial capacity: " +
                        initialCapacity);
            if (initialCapacity > MAXIMUM_CAPACITY)
                initialCapacity = MAXIMUM_CAPACITY;
            if (loadFactor <= 0 || Float.isNaN(loadFactor))
                throw new IllegalArgumentException("Illegal load factor: " +
                        loadFactor);
            this.loadFactor = loadFactor;
            this.threshold = tableSizeFor(initialCapacity);
        }
    
        /**
         * Constructs an empty <tt>HashMap</tt> with the specified initial
         * capacity and the default load factor (0.75).
         *
         * @param  initialCapacity the initial capacity.
         * @throws IllegalArgumentException if the initial capacity is negative.
         */
        public HashMap(int initialCapacity) {
            this(initialCapacity, DEFAULT_LOAD_FACTOR);
        }
    
        /**
         * Constructs an empty <tt>HashMap</tt> with the default initial capacity
         * (16) and the default load factor (0.75).
         */
        public HashMap() {
            this.loadFactor = DEFAULT_LOAD_FACTOR; // all other fields defaulted
        }
    
        /**
         * Constructs a new <tt>HashMap</tt> with the same mappings as the
         * specified <tt>Map</tt>.  The <tt>HashMap</tt> is created with
         * default load factor (0.75) and an initial capacity sufficient to
         * hold the mappings in the specified <tt>Map</tt>.
         *
         * 参数为一个map的构造函数,新的HashMap负载因子为0.75,参数不能为null
         *
         * @param   m the map whose mappings are to be placed in this map
         * @throws  NullPointerException if the specified map is null
         */
        public HashMap(Map<? extends K, ? extends V> m) {
            this.loadFactor = DEFAULT_LOAD_FACTOR;
            putMapEntries(m, false);
        }
    
        /**
         * Implements Map.putAll and Map constructor
         * putAll也调用这个方法.evict为false时代表构造函数调用
         *
         * @param m the map
         * @param evict false when initially constructing this map, else
         * true (relayed to method afterNodeInsertion).
         */
        final void putMapEntries(Map<? extends K, ? extends V> m, boolean evict) {
            int s = m.size();
            if (s > 0) {
                if (table == null) { // pre-size
                    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) // 提前做了一次resize
                    resize();
                for (Map.Entry<? extends K, ? extends V> e : m.entrySet()) {
                    K key = e.getKey();
                    V value = e.getValue();
                    // 调用内部put方法 hash(key)方法先处理下key
                    putVal(hash(key), key, value, false, evict);
                }
            }
        }
    
        /**
         * Returns the number of key-value mappings in this map.
         *
         * @return the number of key-value mappings in this map
         */
        public int size() {
            return size;
        }
    
        /**
         * Returns <tt>true</tt> if this map contains no key-value mappings.
         *
         * @return <tt>true</tt> if this map contains no key-value mappings
         */
        public boolean isEmpty() {
            return size == 0;
        }
    
        /**
         * Returns the value to which the specified key is mapped,
         * or {@code null} if this map contains no mapping for the key.
         *
         * <p>More formally, if this map contains a mapping from a key
         * {@code k} to a value {@code v} such that {@code (key==null ? k==null :
         * key.equals(k))}, then this method returns {@code v}; otherwise
         * it returns {@code null}.  (There can be at most one such mapping.)
         *
         * <p>A return value of {@code null} does not <i>necessarily</i>
         * indicate that the map contains no mapping for the key; it's also
         * possible that the map explicitly maps the key to {@code null}.
         * The {@link #containsKey containsKey} operation may be used to
         * distinguish these two cases.
         *
         * 获取key对应的value,这里返回null不一定代表map里没有这个元素,可能是value本来就是null.
         *
         * @see #put(Object, Object)
         */
        public V get(Object key) {
            Node<K,V> e;
            return (e = getNode(hash(key), key)) == null ? null : e.value;
        }
    
        /**
         * Implements Map.get and related methods
         *
         * @param hash hash for key
         * @param key the key
         * @return the node, or null if none
         */
        final Node<K,V> getNode(int hash, Object key) {
            Node<K,V>[] tab; Node<K,V> first, e; int n; K k;
            if ((tab = table) != null && (n = tab.length) > 0 &&
                    (first = tab[(n - 1) & hash]) != null) {
                if (first.hash == hash && // always check first node
                        ((k = first.key) == key || (key != null && key.equals(k))))
                    return first;
                if ((e = first.next) != null) {
                    if (first instanceof TreeNode)
                        return ((TreeNode<K,V>)first).getTreeNode(hash, key);
                    do {
                        if (e.hash == hash &&
                                ((k = e.key) == key || (key != null && key.equals(k))))
                            return e;
                    } while ((e = e.next) != null);
                }
            }
            return null;
        }
    
        /**
         * Returns <tt>true</tt> if this map contains a mapping for the
         * specified key.
         *
         * @param   key   The key whose presence in this map is to be tested
         * @return <tt>true</tt> if this map contains a mapping for the specified
         * key.
         */
        public boolean containsKey(Object key) {
            return getNode(hash(key), key) != null;
        }
    
        /**
         * Associates the specified value with the specified key in this map.
         * If the map previously contained a mapping for the key, the old
         * value is replaced.
         *
         * @param key key with which the specified value is to be associated
         * @param value value to be associated with the specified key
         * @return the previous value associated with <tt>key</tt>, or
         *         <tt>null</tt> if there was no mapping for <tt>key</tt>.
         *         (A <tt>null</tt> return can also indicate that the map
         *         previously associated <tt>null</tt> with <tt>key</tt>.)
         */
        public V put(K key, V value) {
            return putVal(hash(key), key, value, false, true);
        }
    
        /**
         * Implements Map.put and related methods
         *
         * put方法调用.
         * onlyIfAbsent参数用于putIfAbsent方法调用时使用true,表示是否替换
         *
         * @param hash hash for key
         * @param key the key
         * @param value the value to put
         * @param onlyIfAbsent if true, don't change existing value
         * @param evict if false, the table is in creation mode.
         * @return previous value, or null if none
         */
        final V putVal(int hash, K key, V value, boolean onlyIfAbsent,
                       boolean evict) {
            Node<K,V>[] tab; Node<K,V> p; int n, i;
            if ((tab = table) == null || (n = tab.length) == 0)
                n = (tab = resize()).length;
            // 这里n = tab.length 那么我们知道它必然是2的幂,而n - 1就会出二进制除最高位全部是1,再&hash值
            // 当length总是2的n次方时,hash&(length-1)运算等价于对length取模,也就是hash%length,但是&比%具有更高的效率。
            // 桶内没有元素的时候直接放入即可
            if ((p = tab[i = (n - 1) & hash]) == null)
                // new TreeNode<>(hash, key, value, next);
                tab[i] = newNode(hash, key, value, null);
            else {// 桶内已经有元素情况
                Node<K,V> e; K k;
                if (p.hash == hash &&
                        ((k = p.key) == key || (key != null && key.equals(k))))
                    e = p;// 放入元素和头元素相同,进行替换
                else if (p instanceof TreeNode)// 不相同,则判断是否为TreeNode
                    e = ((TreeNode<K,V>)p).putTreeVal(this, tab, hash, key, value);
                else {
                    // 链表的情况,这里是先进行循环,在循环的过程中判断出元素超过TREEIFY_THRESHOLD则进行treeifyBin操作
                    for (int binCount = 0; ; ++binCount) {
                        if ((e = p.next) == null) {
                            // 当next是null的时候就是尾部了,这里就是把新放入的元素加到链表尾部的操作
                            p.next = newNode(hash, key, value, null);
                            if (binCount >= TREEIFY_THRESHOLD - 1) // -1 for 1st
                                // treeifyBin操作 转换成tree结构
                                treeifyBin(tab, hash);
                            break;
                        }
                        // 这里判断已经有相同key的元素
                        if (e.hash == hash &&
                                ((k = e.key) == key || (key != null && key.equals(k))))
                            break;
                        p = e;
                    }
                }
                // 注意 e存在这里代表有相同key的元素已经存在 所以这里就比较好理解了
                if (e != null) { // existing mapping for key
                    V oldValue = e.value;
                    // 这里处理onlyIfAbsent,先新建一个node,然后再判断onlyIfAbsent,来决定是否替换原来的元素.
                    // 注意如果原来的元素的value是会替换掉的!
                    if (!onlyIfAbsent || oldValue == null)
                        e.value = value;
                    // 钩子方法 LinkedHashMap使用
                    afterNodeAccess(e);
                    return oldValue;
                }
            }
            ++modCount;
            // 触发resize
            if (++size > threshold)
                resize();
            afterNodeInsertion(evict);
            return null;
        }
    
        /**
         * Initializes or doubles table size.  If null, allocates in
         * accord with initial capacity target held in field threshold.
         * Otherwise, because we are using power-of-two expansion, the
         * elements from each bin must either stay at same index, or move
         * with a power of two offset in the new table.
         *
         * 初始化或倍增table的长度,因为长度遵守2的幂,所以元素的在resize后的新位置要么在远处要么移动2的幂次位置.
         * resize是map核心算法之一,它决定这map在扩容时的性能.如果是一个膨胀速度快的map,对resize的要求就很高了.
         *
         *
         * @return the table
         */
        final Node<K,V>[] resize() {
            Node<K,V>[] oldTab = table;
            int oldCap = (oldTab == null) ? 0 : oldTab.length;
            int oldThr = threshold;
            int newCap, newThr = 0;
            if (oldCap > 0) {
                if (oldCap >= MAXIMUM_CAPACITY) {
                    threshold = Integer.MAX_VALUE;
                    return oldTab;
                }
                else if ((newCap = oldCap << 1) < MAXIMUM_CAPACITY &&
                        oldCap >= DEFAULT_INITIAL_CAPACITY)
                    newThr = oldThr << 1; // double threshold
            }
            else if (oldThr > 0) // initial capacity was placed in threshold
                newCap = oldThr;
            else {               // zero initial threshold signifies using defaults
                newCap = DEFAULT_INITIAL_CAPACITY;
                newThr = (int)(DEFAULT_LOAD_FACTOR * DEFAULT_INITIAL_CAPACITY);
            }
            if (newThr == 0) {
                float ft = (float)newCap * loadFactor;
                newThr = (newCap < MAXIMUM_CAPACITY && ft < (float)MAXIMUM_CAPACITY ?
                        (int)ft : Integer.MAX_VALUE);
            }
            threshold = newThr;
            @SuppressWarnings({"rawtypes","unchecked"})
            Node<K,V>[] newTab = (Node<K,V>[])new Node[newCap];
            table = newTab;
            if (oldTab != null) {
                for (int j = 0; j < oldCap; ++j) {
                    Node<K,V> e;
                    if ((e = oldTab[j]) != null) {
                        oldTab[j] = null;
                        if (e.next == null)
                            newTab[e.hash & (newCap - 1)] = e;
                        else if (e instanceof TreeNode)
                            ((TreeNode<K,V>)e).split(this, newTab, j, oldCap);
                        else { // preserve order
                            Node<K,V> loHead = null, loTail = null;
                            Node<K,V> hiHead = null, hiTail = null;
                            Node<K,V> next;
                            do {
                                next = e.next;
                                if ((e.hash & oldCap) == 0) {
                                    if (loTail == null)
                                        loHead = e;
                                    else
                                        loTail.next = e;
                                    loTail = e;
                                }
                                else {
                                    if (hiTail == null)
                                        hiHead = e;
                                    else
                                        hiTail.next = e;
                                    hiTail = e;
                                }
                            } while ((e = next) != null);
                            if (loTail != null) {
                                loTail.next = null;
                                newTab[j] = loHead;
                            }
                            if (hiTail != null) {
                                hiTail.next = null;
                                newTab[j + oldCap] = hiHead;
                            }
                        }
                    }
                }
            }
            return newTab;
        }
    
        /**
         * Replaces all linked nodes in bin at index for given hash unless
         * table is too small, in which case resizes instead.
         *
         * 将链表转成树结构,如果table还很小,就用resize操作.
         */
        final void treeifyBin(Node<K,V>[] tab, int hash) {
            int n, index; Node<K,V> e;
            // table 太小 直接resize一下扩容解决
            if (tab == null || (n = tab.length) < MIN_TREEIFY_CAPACITY)
                resize();
            else if ((e = tab[index = (n - 1) & hash]) != null) {
                TreeNode<K,V> hd = null, tl = null;
                do {
                    // 先把Node链表转成TreeNode链表
                    TreeNode<K,V> p = replacementTreeNode(e, null);
                    if (tl == null)
                        hd = p;//
                    else {
                        p.prev = tl;
                        tl.next = p;
                    }
                    tl = p;
                } while ((e = e.next) != null);
                if ((tab[index] = hd) != null)
                    // 转变操作
                    hd.treeify(tab);
            }
        }
    
        /**
         * Copies all of the mappings from the specified map to this map.
         * These mappings will replace any mappings that this map had for
         * any of the keys currently in the specified map.
         *
         * @param m mappings to be stored in this map
         * @throws NullPointerException if the specified map is null
         */
        public void putAll(Map<? extends K, ? extends V> m) {
            putMapEntries(m, true);
        }
    
        /**
         * Removes the mapping for the specified key from this map if present.
         *
         * @param  key key whose mapping is to be removed from the map
         * @return the previous value associated with <tt>key</tt>, or
         *         <tt>null</tt> if there was no mapping for <tt>key</tt>.
         *         (A <tt>null</tt> return can also indicate that the map
         *         previously associated <tt>null</tt> with <tt>key</tt>.)
         */
        public V remove(Object key) {
            Node<K,V> e;
            return (e = removeNode(hash(key), key, null, false, true)) == null ?
                    null : e.value;
        }
    
        /**
         * Implements Map.remove and related methods
         *
         * 提供内remove方法使用
         *
         * @param hash hash for key
         * @param key the key
         * @param value the value to match if matchValue, else ignored
         * @param matchValue if true only remove if value is equal
         * @param movable if false do not move other nodes while removing
         * @return the node, or null if none
         */
        final Node<K,V> removeNode(int hash, Object key, Object value,
                                   boolean matchValue, boolean movable) {
            Node<K,V>[] tab; Node<K,V> p; int n, index;
            if ((tab = table) != null && (n = tab.length) > 0 &&
                    (p = tab[index = (n - 1) & hash]) != null) {
                Node<K,V> node = null, e; K k; V v;
                if (p.hash == hash &&
                        ((k = p.key) == key || (key != null && key.equals(k))))
                    node = p;
                else if ((e = p.next) != null) {
                    // tree情况
                    if (p instanceof TreeNode)
                        node = ((TreeNode<K,V>)p).getTreeNode(hash, key);
                    else {
                        do {
                            if (e.hash == hash &&
                                    ((k = e.key) == key ||
                                            (key != null && key.equals(k)))) {
                                node = e;
                                break;
                            }
                            p = e;
                        } while ((e = e.next) != null);
                    }
                }
                if (node != null && (!matchValue || (v = node.value) == value ||
                        (value != null && value.equals(v)))) {
                    if (node instanceof TreeNode)
                        ((TreeNode<K,V>)node).removeTreeNode(this, tab, movable);
                    else if (node == p)
                        tab[index] = node.next;
                    else
                        p.next = node.next;
                    ++modCount;
                    --size;
                    afterNodeRemoval(node);
                    return node;
                }
            }
            return null;
        }
    
        /**
         * Removes all of the mappings from this map.
         * The map will be empty after this call returns.
         */
        public void clear() {
            Node<K,V>[] tab;
            modCount++;
            if ((tab = table) != null && size > 0) {
                size = 0;
                for (int i = 0; i < tab.length; ++i)
                    tab[i] = null;
            }
        }
    
        /**
         * Returns <tt>true</tt> if this map maps one or more keys to the
         * specified value.
         *
         * @param value value whose presence in this map is to be tested
         * @return <tt>true</tt> if this map maps one or more keys to the
         *         specified value
         */
        public boolean containsValue(Object value) {
            Node<K,V>[] tab; V v;
            if ((tab = table) != null && size > 0) {
                for (int i = 0; i < tab.length; ++i) {
                    for (Node<K,V> e = tab[i]; e != null; e = e.next) {
                        if ((v = e.value) == value ||
                                (value != null && value.equals(v)))
                            return true;
                    }
                }
            }
            return false;
        }
    
        /**
         * Returns a {@link Set} view of the keys contained in this map.
         * The set is backed by the map, so changes to the map are
         * reflected in the set, and vice-versa.  If the map is modified
         * while an iteration over the set is in progress (except through
         * the iterator's own <tt>remove</tt> operation), the results of
         * the iteration are undefined.  The set supports element removal,
         * which removes the corresponding mapping from the map, via the
         * <tt>Iterator.remove</tt>, <tt>Set.remove</tt>,
         * <tt>removeAll</tt>, <tt>retainAll</tt>, and <tt>clear</tt>
         * operations.  It does not support the <tt>add</tt> or <tt>addAll</tt>
         * operations.
         *
         * @return a set view of the keys contained in this map
         */
        public Set<K> keySet() {
            Set<K> ks;
            return (ks = keySet) == null ? (keySet = new KeySet()) : ks;
        }
    
        final class KeySet extends AbstractSet<K> {
            public final int size()                 { return size; }
            public final void clear()               { HashMap.this.clear(); }
            public final Iterator<K> iterator()     { return new KeyIterator(); }
            public final boolean contains(Object o) { return containsKey(o); }
            public final boolean remove(Object key) {
                return removeNode(hash(key), key, null, false, true) != null;
            }
            public final Spliterator<K> spliterator() {
                return new KeySpliterator<>(HashMap.this, 0, -1, 0, 0);
            }
            public final void forEach(Consumer<? super K> action) {
                Node<K,V>[] tab;
                if (action == null)
                    throw new NullPointerException();
                if (size > 0 && (tab = table) != null) {
                    int mc = modCount;
                    for (int i = 0; i < tab.length; ++i) {
                        for (Node<K,V> e = tab[i]; e != null; e = e.next)
                            action.accept(e.key);
                    }
                    if (modCount != mc)
                        throw new ConcurrentModificationException();
                }
            }
        }
    
        /**
         * Returns a {@link Collection} view of the values contained in this map.
         * The collection is backed by the map, so changes to the map are
         * reflected in the collection, and vice-versa.  If the map is
         * modified while an iteration over the collection is in progress
         * (except through the iterator's own <tt>remove</tt> operation),
         * the results of the iteration are undefined.  The collection
         * supports element removal, which removes the corresponding
         * mapping from the map, via the <tt>Iterator.remove</tt>,
         * <tt>Collection.remove</tt>, <tt>removeAll</tt>,
         * <tt>retainAll</tt> and <tt>clear</tt> operations.  It does not
         * support the <tt>add</tt> or <tt>addAll</tt> operations.
         *
         * @return a view of the values contained in this map
         */
        public Collection<V> values() {
            Collection<V> vs;
            return (vs = values) == null ? (values = new Values()) : vs;
        }
    
        final class Values extends AbstractCollection<V> {
            public final int size()                 { return size; }
            public final void clear()               { HashMap.this.clear(); }
            public final Iterator<V> iterator()     { return new ValueIterator(); }
            public final boolean contains(Object o) { return containsValue(o); }
            public final Spliterator<V> spliterator() {
                return new ValueSpliterator<>(HashMap.this, 0, -1, 0, 0);
            }
            public final void forEach(Consumer<? super V> action) {
                Node<K,V>[] tab;
                if (action == null)
                    throw new NullPointerException();
                if (size > 0 && (tab = table) != null) {
                    int mc = modCount;
                    for (int i = 0; i < tab.length; ++i) {
                        for (Node<K,V> e = tab[i]; e != null; e = e.next)
                            action.accept(e.value);
                    }
                    if (modCount != mc)
                        throw new ConcurrentModificationException();
                }
            }
        }
    
        /**
         * Returns a {@link Set} view of the mappings contained in this map.
         * The set is backed by the map, so changes to the map are
         * reflected in the set, and vice-versa.  If the map is modified
         * while an iteration over the set is in progress (except through
         * the iterator's own <tt>remove</tt> operation, or through the
         * <tt>setValue</tt> operation on a map entry returned by the
         * iterator) the results of the iteration are undefined.  The set
         * supports element removal, which removes the corresponding
         * mapping from the map, via the <tt>Iterator.remove</tt>,
         * <tt>Set.remove</tt>, <tt>removeAll</tt>, <tt>retainAll</tt> and
         * <tt>clear</tt> operations.  It does not support the
         * <tt>add</tt> or <tt>addAll</tt> operations.
         *
         * @return a set view of the mappings contained in this map
         */
        public Set<Map.Entry<K,V>> entrySet() {
            Set<Map.Entry<K,V>> es;
            return (es = entrySet) == null ? (entrySet = new EntrySet()) : es;
        }
    
        final class EntrySet extends AbstractSet<Map.Entry<K,V>> {
            public final int size()                 { return size; }
            public final void clear()               { HashMap.this.clear(); }
            public final Iterator<Map.Entry<K,V>> iterator() {
                return new EntryIterator();
            }
            public final boolean contains(Object o) {
                if (!(o instanceof Map.Entry))
                    return false;
                Map.Entry<?,?> e = (Map.Entry<?,?>) o;
                Object key = e.getKey();
                Node<K,V> candidate = getNode(hash(key), key);
                return candidate != null && candidate.equals(e);
            }
            public final boolean remove(Object o) {
                if (o instanceof Map.Entry) {
                    Map.Entry<?,?> e = (Map.Entry<?,?>) o;
                    Object key = e.getKey();
                    Object value = e.getValue();
                    return removeNode(hash(key), key, value, true, true) != null;
                }
                return false;
            }
            public final Spliterator<Map.Entry<K,V>> spliterator() {
                return new EntrySpliterator<>(HashMap.this, 0, -1, 0, 0);
            }
            public final void forEach(Consumer<? super Map.Entry<K,V>> action) {
                Node<K,V>[] tab;
                if (action == null)
                    throw new NullPointerException();
                if (size > 0 && (tab = table) != null) {
                    int mc = modCount;
                    for (int i = 0; i < tab.length; ++i) {
                        for (Node<K,V> e = tab[i]; e != null; e = e.next)
                            action.accept(e);
                    }
                    if (modCount != mc)
                        throw new ConcurrentModificationException();
                }
            }
        }
    
        // Overrides of JDK8 Map extension methods
    
        @Override
        public V getOrDefault(Object key, V defaultValue) {
            Node<K,V> e;
            return (e = getNode(hash(key), key)) == null ? defaultValue : e.value;
        }
    
        @Override
        public V putIfAbsent(K key, V value) {
            return putVal(hash(key), key, value, true, true);
        }
    
        @Override
        public boolean remove(Object key, Object value) {
            return removeNode(hash(key), key, value, true, true) != null;
        }
    
        @Override
        public boolean replace(K key, V oldValue, V newValue) {
            Node<K,V> e; V v;
            if ((e = getNode(hash(key), key)) != null &&
                    ((v = e.value) == oldValue || (v != null && v.equals(oldValue)))) {
                e.value = newValue;
                afterNodeAccess(e);
                return true;
            }
            return false;
        }
    
        @Override
        public V replace(K key, V value) {
            Node<K,V> e;
            if ((e = getNode(hash(key), key)) != null) {
                V oldValue = e.value;
                e.value = value;
                afterNodeAccess(e);
                return oldValue;
            }
            return null;
        }
    
        @Override
        public V computeIfAbsent(K key,
                                 Function<? super K, ? extends V> mappingFunction) {
            if (mappingFunction == null)
                throw new NullPointerException();
            int hash = hash(key);
            Node<K,V>[] tab; Node<K,V> first; int n, i;
            int binCount = 0;
            TreeNode<K,V> t = null;
            Node<K,V> old = null;
            if (size > threshold || (tab = table) == null ||
                    (n = tab.length) == 0)
                n = (tab = resize()).length;
            if ((first = tab[i = (n - 1) & hash]) != null) {
                if (first instanceof TreeNode)
                    old = (t = (TreeNode<K,V>)first).getTreeNode(hash, key);
                else {
                    Node<K,V> e = first; K k;
                    do {
                        if (e.hash == hash &&
                                ((k = e.key) == key || (key != null && key.equals(k)))) {
                            old = e;
                            break;
                        }
                        ++binCount;
                    } while ((e = e.next) != null);
                }
                V oldValue;
                if (old != null && (oldValue = old.value) != null) {
                    afterNodeAccess(old);
                    return oldValue;
                }
            }
            V v = mappingFunction.apply(key);
            if (v == null) {
                return null;
            } else if (old != null) {
                old.value = v;
                afterNodeAccess(old);
                return v;
            }
            else if (t != null)
                t.putTreeVal(this, tab, hash, key, v);
            else {
                tab[i] = newNode(hash, key, v, first);
                if (binCount >= TREEIFY_THRESHOLD - 1)
                    treeifyBin(tab, hash);
            }
            ++modCount;
            ++size;
            afterNodeInsertion(true);
            return v;
        }
    
        public V computeIfPresent(K key,
                                  BiFunction<? super K, ? super V, ? extends V> remappingFunction) {
            if (remappingFunction == null)
                throw new NullPointerException();
            Node<K,V> e; V oldValue;
            int hash = hash(key);
            if ((e = getNode(hash, key)) != null &&
                    (oldValue = e.value) != null) {
                V v = remappingFunction.apply(key, oldValue);
                if (v != null) {
                    e.value = v;
                    afterNodeAccess(e);
                    return v;
                }
                else
                    removeNode(hash, key, null, false, true);
            }
            return null;
        }
    
        @Override
        public V compute(K key,
                         BiFunction<? super K, ? super V, ? extends V> remappingFunction) {
            if (remappingFunction == null)
                throw new NullPointerException();
            int hash = hash(key);
            Node<K,V>[] tab; Node<K,V> first; int n, i;
            int binCount = 0;
            TreeNode<K,V> t = null;
            Node<K,V> old = null;
            if (size > threshold || (tab = table) == null ||
                    (n = tab.length) == 0)
                n = (tab = resize()).length;
            if ((first = tab[i = (n - 1) & hash]) != null) {
                if (first instanceof TreeNode)
                    old = (t = (TreeNode<K,V>)first).getTreeNode(hash, key);
                else {
                    Node<K,V> e = first; K k;
                    do {
                        if (e.hash == hash &&
                                ((k = e.key) == key || (key != null && key.equals(k)))) {
                            old = e;
                            break;
                        }
                        ++binCount;
                    } while ((e = e.next) != null);
                }
            }
            V oldValue = (old == null) ? null : old.value;
            V v = remappingFunction.apply(key, oldValue);
            if (old != null) {
                if (v != null) {
                    old.value = v;
                    afterNodeAccess(old);
                }
                else
                    removeNode(hash, key, null, false, true);
            }
            else if (v != null) {
                if (t != null)
                    t.putTreeVal(this, tab, hash, key, v);
                else {
                    tab[i] = newNode(hash, key, v, first);
                    if (binCount >= TREEIFY_THRESHOLD - 1)
                        treeifyBin(tab, hash);
                }
                ++modCount;
                ++size;
                afterNodeInsertion(true);
            }
            return v;
        }
    
        @Override
        public V merge(K key, V value,
                       BiFunction<? super V, ? super V, ? extends V> remappingFunction) {
            if (value == null)
                throw new NullPointerException();
            if (remappingFunction == null)
                throw new NullPointerException();
            int hash = hash(key);
            Node<K,V>[] tab; Node<K,V> first; int n, i;
            int binCount = 0;
            TreeNode<K,V> t = null;
            Node<K,V> old = null;
            if (size > threshold || (tab = table) == null ||
                    (n = tab.length) == 0)
                n = (tab = resize()).length;
            if ((first = tab[i = (n - 1) & hash]) != null) {
                if (first instanceof TreeNode)
                    old = (t = (TreeNode<K,V>)first).getTreeNode(hash, key);
                else {
                    Node<K,V> e = first; K k;
                    do {
                        if (e.hash == hash &&
                                ((k = e.key) == key || (key != null && key.equals(k)))) {
                            old = e;
                            break;
                        }
                        ++binCount;
                    } while ((e = e.next) != null);
                }
            }
            if (old != null) {
                V v;
                if (old.value != null)
                    v = remappingFunction.apply(old.value, value);
                else
                    v = value;
                if (v != null) {
                    old.value = v;
                    afterNodeAccess(old);
                }
                else
                    removeNode(hash, key, null, false, true);
                return v;
            }
            if (value != null) {
                if (t != null)
                    t.putTreeVal(this, tab, hash, key, value);
                else {
                    tab[i] = newNode(hash, key, value, first);
                    if (binCount >= TREEIFY_THRESHOLD - 1)
                        treeifyBin(tab, hash);
                }
                ++modCount;
                ++size;
                afterNodeInsertion(true);
            }
            return value;
        }
    
        @Override
        public void forEach(BiConsumer<? super K, ? super V> action) {
            Node<K,V>[] tab;
            if (action == null)
                throw new NullPointerException();
            if (size > 0 && (tab = table) != null) {
                int mc = modCount;
                for (int i = 0; i < tab.length; ++i) {
                    for (Node<K,V> e = tab[i]; e != null; e = e.next)
                        action.accept(e.key, e.value);
                }
                if (modCount != mc)
                    throw new ConcurrentModificationException();
            }
        }
    
        @Override
        public void replaceAll(BiFunction<? super K, ? super V, ? extends V> function) {
            Node<K,V>[] tab;
            if (function == null)
                throw new NullPointerException();
            if (size > 0 && (tab = table) != null) {
                int mc = modCount;
                for (int i = 0; i < tab.length; ++i) {
                    for (Node<K,V> e = tab[i]; e != null; e = e.next) {
                        e.value = function.apply(e.key, e.value);
                    }
                }
                if (modCount != mc)
                    throw new ConcurrentModificationException();
            }
        }
    
        /* ------------------------------------------------------------ */
        // Cloning and serialization
    
        /**
         * Returns a shallow copy of this <tt>HashMap</tt> instance: the keys and
         * values themselves are not cloned.
         *
         * @return a shallow copy of this map
         */
        @SuppressWarnings("unchecked")
        @Override
        public Object clone() {
            HashMap<K,V> result;
            try {
                result = (HashMap<K,V>)super.clone();
            } catch (CloneNotSupportedException e) {
                // this shouldn't happen, since we are Cloneable
                throw new InternalError(e);
            }
            result.reinitialize();
            result.putMapEntries(this, false);
            return result;
        }
    
        // These methods are also used when serializing HashSets
        final float loadFactor() { return loadFactor; }
        final int capacity() {
            return (table != null) ? table.length :
                    (threshold > 0) ? threshold :
                            DEFAULT_INITIAL_CAPACITY;
        }
    
        /**
         * Save the state of the <tt>HashMap</tt> instance to a stream (i.e.,
         * serialize it).
         *
         * @serialData The <i>capacity</i> of the HashMap (the length of the
         *             bucket array) is emitted (int), followed by the
         *             <i>size</i> (an int, the number of key-value
         *             mappings), followed by the key (Object) and value (Object)
         *             for each key-value mapping.  The key-value mappings are
         *             emitted in no particular order.
         *
         */
        private void writeObject(java.io.ObjectOutputStream s)
                throws IOException {
            int buckets = capacity();
            // Write out the threshold, loadfactor, and any hidden stuff
            s.defaultWriteObject();
            s.writeInt(buckets);//table长度
            s.writeInt(size);// 只需要写入全部元素,部需要记录table上无元素的情况
            internalWriteEntries(s);//写入元素
        }
    
        /**
         * Reconstitute the {@code HashMap} instance from a stream (i.e.,
         * deserialize it).
         *
         * 反序列化使用,在反序列化时系统会调用到这个方法.依次读出writeObject写入的内容
         */
        private void readObject(java.io.ObjectInputStream s)
                throws IOException, ClassNotFoundException {
            // Read in the threshold (ignored), loadfactor, and any hidden stuff
            s.defaultReadObject();
            reinitialize();
            if (loadFactor <= 0 || Float.isNaN(loadFactor))
                throw new InvalidObjectException("Illegal load factor: " +
                        loadFactor);
            s.readInt();                // Read and ignore number of buckets
            int mappings = s.readInt(); // Read number of mappings (size)
            if (mappings < 0)
                throw new InvalidObjectException("Illegal mappings count: " +
                        mappings);
            else if (mappings > 0) { // (if zero, use defaults)
                // Size the table using given load factor only if within
                // range of 0.25...4.0
                float lf = Math.min(Math.max(0.25f, loadFactor), 4.0f);
                float fc = (float)mappings / lf + 1.0f;
                int cap = ((fc < DEFAULT_INITIAL_CAPACITY) ?
                        DEFAULT_INITIAL_CAPACITY :
                        (fc >= MAXIMUM_CAPACITY) ?
                                MAXIMUM_CAPACITY :
                                tableSizeFor((int)fc));
                float ft = (float)cap * lf;
                threshold = ((cap < MAXIMUM_CAPACITY && ft < MAXIMUM_CAPACITY) ?
                        (int)ft : Integer.MAX_VALUE);
                @SuppressWarnings({"rawtypes","unchecked"})
                Node<K,V>[] tab = (Node<K,V>[])new Node[cap];
                table = tab;
    
                // Read the keys and values, and put the mappings in the HashMap
                for (int i = 0; i < mappings; i++) {
                    @SuppressWarnings("unchecked")
                    K key = (K) s.readObject();
                    @SuppressWarnings("unchecked")
                    V value = (V) s.readObject();
                    putVal(hash(key), key, value, false, false);
                }
            }
        }
    
        /* ------------------------------------------------------------ */
        // iterators
    
        abstract class HashIterator {
            Node<K,V> next;        // next entry to return
            Node<K,V> current;     // current entry
            int expectedModCount;  // for fast-fail
            int index;             // current slot
    
            HashIterator() {
                expectedModCount = modCount;
                Node<K,V>[] t = table;
                current = next = null;
                index = 0;
                if (t != null && size > 0) { // advance to first entry
                    do {} while (index < t.length && (next = t[index++]) == null);
                }
            }
    
            public final boolean hasNext() {
                return next != null;
            }
    
            final Node<K,V> nextNode() {
                Node<K,V>[] t;
                Node<K,V> e = next;
                if (modCount != expectedModCount)
                    throw new ConcurrentModificationException();
                if (e == null)
                    throw new NoSuchElementException();
                if ((next = (current = e).next) == null && (t = table) != null) {
                    do {} while (index < t.length && (next = t[index++]) == null);
                }
                return e;
            }
    
            public final void remove() {
                Node<K,V> p = current;
                if (p == null)
                    throw new IllegalStateException();
                if (modCount != expectedModCount)
                    throw new ConcurrentModificationException();
                current = null;
                K key = p.key;
                removeNode(hash(key), key, null, false, false);
                expectedModCount = modCount;
            }
        }
    
        final class KeyIterator extends HashIterator
                implements Iterator<K> {
            public final K next() { return nextNode().key; }
        }
    
        final class ValueIterator extends HashIterator
                implements Iterator<V> {
            public final V next() { return nextNode().value; }
        }
    
        final class EntryIterator extends HashIterator
                implements Iterator<Map.Entry<K,V>> {
            public final Map.Entry<K,V> next() { return nextNode(); }
        }
    
        /* ------------------------------------------------------------ */
        // spliterators
    
        static class HashMapSpliterator<K,V> {
            final HashMap<K,V> map;
            Node<K,V> current;          // current node
            int index;                  // current index, modified on advance/split
            int fence;                  // one past last index
            int est;                    // size estimate
            int expectedModCount;       // for comodification checks
    
            HashMapSpliterator(HashMap<K,V> m, int origin,
                               int fence, int est,
                               int expectedModCount) {
                this.map = m;
                this.index = origin;
                this.fence = fence;
                this.est = est;
                this.expectedModCount = expectedModCount;
            }
    
            final int getFence() { // initialize fence and size on first use
                int hi;
                if ((hi = fence) < 0) {
                    HashMap<K,V> m = map;
                    est = m.size;
                    expectedModCount = m.modCount;
                    Node<K,V>[] tab = m.table;
                    hi = fence = (tab == null) ? 0 : tab.length;
                }
                return hi;
            }
    
            public final long estimateSize() {
                getFence(); // force init
                return (long) est;
            }
        }
    
        static final class KeySpliterator<K,V>
                extends HashMapSpliterator<K,V>
                implements Spliterator<K> {
            KeySpliterator(HashMap<K,V> m, int origin, int fence, int est,
                           int expectedModCount) {
                super(m, origin, fence, est, expectedModCount);
            }
    
            public KeySpliterator<K,V> trySplit() {
                int hi = getFence(), lo = index, mid = (lo + hi) >>> 1;
                return (lo >= mid || current != null) ? null :
                        new KeySpliterator<>(map, lo, index = mid, est >>>= 1,
                                expectedModCount);
            }
    
            public void forEachRemaining(Consumer<? super K> action) {
                int i, hi, mc;
                if (action == null)
                    throw new NullPointerException();
                HashMap<K,V> m = map;
                Node<K,V>[] tab = m.table;
                if ((hi = fence) < 0) {
                    mc = expectedModCount = m.modCount;
                    hi = fence = (tab == null) ? 0 : tab.length;
                }
                else
                    mc = expectedModCount;
                if (tab != null && tab.length >= hi &&
                        (i = index) >= 0 && (i < (index = hi) || current != null)) {
                    Node<K,V> p = current;
                    current = null;
                    do {
                        if (p == null)
                            p = tab[i++];
                        else {
                            action.accept(p.key);
                            p = p.next;
                        }
                    } while (p != null || i < hi);
                    if (m.modCount != mc)
                        throw new ConcurrentModificationException();
                }
            }
    
            public boolean tryAdvance(Consumer<? super K> action) {
                int hi;
                if (action == null)
                    throw new NullPointerException();
                Node<K,V>[] tab = map.table;
                if (tab != null && tab.length >= (hi = getFence()) && index >= 0) {
                    while (current != null || index < hi) {
                        if (current == null)
                            current = tab[index++];
                        else {
                            K k = current.key;
                            current = current.next;
                            action.accept(k);
                            if (map.modCount != expectedModCount)
                                throw new ConcurrentModificationException();
                            return true;
                        }
                    }
                }
                return false;
            }
    
            public int characteristics() {
                return (fence < 0 || est == map.size ? Spliterator.SIZED : 0) |
                        Spliterator.DISTINCT;
            }
        }
    
        static final class ValueSpliterator<K,V>
                extends HashMapSpliterator<K,V>
                implements Spliterator<V> {
            ValueSpliterator(HashMap<K,V> m, int origin, int fence, int est,
                             int expectedModCount) {
                super(m, origin, fence, est, expectedModCount);
            }
    
            public ValueSpliterator<K,V> trySplit() {
                int hi = getFence(), lo = index, mid = (lo + hi) >>> 1;
                return (lo >= mid || current != null) ? null :
                        new ValueSpliterator<>(map, lo, index = mid, est >>>= 1,
                                expectedModCount);
            }
    
            public void forEachRemaining(Consumer<? super V> action) {
                int i, hi, mc;
                if (action == null)
                    throw new NullPointerException();
                HashMap<K,V> m = map;
                Node<K,V>[] tab = m.table;
                if ((hi = fence) < 0) {
                    mc = expectedModCount = m.modCount;
                    hi = fence = (tab == null) ? 0 : tab.length;
                }
                else
                    mc = expectedModCount;
                if (tab != null && tab.length >= hi &&
                        (i = index) >= 0 && (i < (index = hi) || current != null)) {
                    Node<K,V> p = current;
                    current = null;
                    do {
                        if (p == null)
                            p = tab[i++];
                        else {
                            action.accept(p.value);
                            p = p.next;
                        }
                    } while (p != null || i < hi);
                    if (m.modCount != mc)
                        throw new ConcurrentModificationException();
                }
            }
    
            public boolean tryAdvance(Consumer<? super V> action) {
                int hi;
                if (action == null)
                    throw new NullPointerException();
                Node<K,V>[] tab = map.table;
                if (tab != null && tab.length >= (hi = getFence()) && index >= 0) {
                    while (current != null || index < hi) {
                        if (current == null)
                            current = tab[index++];
                        else {
                            V v = current.value;
                            current = current.next;
                            action.accept(v);
                            if (map.modCount != expectedModCount)
                                throw new ConcurrentModificationException();
                            return true;
                        }
                    }
                }
                return false;
            }
    
            public int characteristics() {
                return (fence < 0 || est == map.size ? Spliterator.SIZED : 0);
            }
        }
    
        static final class EntrySpliterator<K,V>
                extends HashMapSpliterator<K,V>
                implements Spliterator<Map.Entry<K,V>> {
            EntrySpliterator(HashMap<K,V> m, int origin, int fence, int est,
                             int expectedModCount) {
                super(m, origin, fence, est, expectedModCount);
            }
    
            public EntrySpliterator<K,V> trySplit() {
                int hi = getFence(), lo = index, mid = (lo + hi) >>> 1;
                return (lo >= mid || current != null) ? null :
                        new EntrySpliterator<>(map, lo, index = mid, est >>>= 1,
                                expectedModCount);
            }
    
            public void forEachRemaining(Consumer<? super Map.Entry<K,V>> action) {
                int i, hi, mc;
                if (action == null)
                    throw new NullPointerException();
                HashMap<K,V> m = map;
                Node<K,V>[] tab = m.table;
                if ((hi = fence) < 0) {
                    mc = expectedModCount = m.modCount;
                    hi = fence = (tab == null) ? 0 : tab.length;
                }
                else
                    mc = expectedModCount;
                if (tab != null && tab.length >= hi &&
                        (i = index) >= 0 && (i < (index = hi) || current != null)) {
                    Node<K,V> p = current;
                    current = null;
                    do {
                        if (p == null)
                            p = tab[i++];
                        else {
                            action.accept(p);
                            p = p.next;
                        }
                    } while (p != null || i < hi);
                    if (m.modCount != mc)
                        throw new ConcurrentModificationException();
                }
            }
    
            public boolean tryAdvance(Consumer<? super Map.Entry<K,V>> action) {
                int hi;
                if (action == null)
                    throw new NullPointerException();
                Node<K,V>[] tab = map.table;
                if (tab != null && tab.length >= (hi = getFence()) && index >= 0) {
                    while (current != null || index < hi) {
                        if (current == null)
                            current = tab[index++];
                        else {
                            Node<K,V> e = current;
                            current = current.next;
                            action.accept(e);
                            if (map.modCount != expectedModCount)
                                throw new ConcurrentModificationException();
                            return true;
                        }
                    }
                }
                return false;
            }
    
            public int characteristics() {
                return (fence < 0 || est == map.size ? Spliterator.SIZED : 0) |
                        Spliterator.DISTINCT;
            }
        }
    
        /* ------------------------------------------------------------ */
        // LinkedHashMap support
    
    
        /*
         * The following package-protected methods are designed to be
         * overridden by LinkedHashMap, but not by any other subclass.
         * Nearly all other internal methods are also package-protected
         * but are declared final, so can be used by LinkedHashMap, view
         * classes, and HashSet.
         */
    
        // Create a regular (non-tree) node
        Node<K,V> newNode(int hash, K key, V value, Node<K,V> next) {
            return new Node<>(hash, key, value, next);
        }
    
        // For conversion from TreeNodes to plain nodes
        Node<K,V> replacementNode(Node<K,V> p, Node<K,V> next) {
            return new Node<>(p.hash, p.key, p.value, next);
        }
    
        // Create a tree bin node
        TreeNode<K,V> newTreeNode(int hash, K key, V value, Node<K,V> next) {
            return new TreeNode<>(hash, key, value, next);
        }
    
        // For treeifyBin
        TreeNode<K,V> replacementTreeNode(Node<K,V> p, Node<K,V> next) {
            return new TreeNode<>(p.hash, p.key, p.value, next);
        }
    
        /**
         * Reset to initial default state.  Called by clone and readObject.
         */
        void reinitialize() {
            table = null;
            entrySet = null;
            keySet = null;
            values = null;
            modCount = 0;
            threshold = 0;
            size = 0;
        }
    
        // Callbacks to allow LinkedHashMap post-actions
        void afterNodeAccess(Node<K,V> p) { }
        void afterNodeInsertion(boolean evict) { }
        void afterNodeRemoval(Node<K,V> p) { }
    
        // Called only from writeObject, to ensure compatible ordering.
        // 全部元素
        void internalWriteEntries(java.io.ObjectOutputStream s) throws IOException {
            Node<K,V>[] tab;
            if (size > 0 && (tab = table) != null) {
                for (int i = 0; i < tab.length; ++i) {
                    for (Node<K,V> e = tab[i]; e != null; e = e.next) {
                        s.writeObject(e.key);
                        s.writeObject(e.value);
                    }
                }
            }
        }
    
        /* ------------------------------------------------------------ */
        // Tree bins
    
        /**
         * Entry for Tree bins. Extends LinkedHashMap.Entry (which in turn
         * extends Node) so can be used as extension of either regular or
         * linked node.
         *
         * 树结构节点,继承LinkedHashMap.Entry
         */
        static final class TreeNode<K,V> extends LinkedHashMap.Entry<K,V> {
            // 父,左右子,颜色
            TreeNode<K,V> parent;  // red-black tree links
            TreeNode<K,V> left;
            TreeNode<K,V> right;
            TreeNode<K,V> prev;    // needed to unlink next upon deletion
            boolean red;
            TreeNode(int hash, K key, V val, Node<K,V> next) {
                super(hash, key, val, next);
            }
    
            /**
             * Returns root of tree containing this node.
             */
            final TreeNode<K,V> root() {
                for (TreeNode<K,V> r = this, p;;) {
                    if ((p = r.parent) == null)
                        return r;
                    r = p;
                }
            }
    
            /**
             * Ensures that the given root is the first node of its bin.
             */
            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;
                    TreeNode<K,V> first = (TreeNode<K,V>)tab[index];
                    if (root != first) {
                        Node<K,V> rn;
                        tab[index] = root;
                        TreeNode<K,V> rp = root.prev;
                        if ((rn = root.next) != null)
                            ((TreeNode<K,V>)rn).prev = rp;
                        if (rp != null)
                            rp.next = rn;
                        if (first != null)
                            first.prev = root;
                        root.next = first;
                        root.prev = null;
                    }
                    assert checkInvariants(root);
                }
            }
    
            /**
             * Finds the node starting at root p with the given hash and key.
             * The kc argument caches comparableClassFor(key) upon first use
             * comparing keys.
             */
            final TreeNode<K,V> find(int h, Object k, Class<?> kc) {
                TreeNode<K,V> p = this;
                do {
                    int ph, dir; K pk;
                    TreeNode<K,V> pl = p.left, pr = p.right, q;
                    if ((ph = p.hash) > h)
                        p = pl;
                    else if (ph < h)
                        p = pr;
                    else if ((pk = p.key) == k || (k != null && k.equals(pk)))
                        return p;
                    else if (pl == null)
                        p = pr;
                    else if (pr == null)
                        p = pl;
                    else if ((kc != null ||
                            (kc = comparableClassFor(k)) != null) &&
                            (dir = compareComparables(kc, k, pk)) != 0)
                        p = (dir < 0) ? pl : pr;
                    else if ((q = pr.find(h, k, kc)) != null)
                        return q;
                    else
                        p = pl;
                } while (p != null);
                return null;
            }
    
            /**
             * Calls find for root node.
             * 查找树中元素 -> 从root开始
             */
            final TreeNode<K,V> getTreeNode(int h, Object k) {
                // root的parent==null
                return ((parent != null) ? root() : this).find(h, k, null);
            }
    
            /**
             * Tie-breaking utility for ordering insertions when equal
             * hashCodes and non-comparable. We don't require a total
             * order, just a consistent insertion rule to maintain
             * equivalence across rebalancings. Tie-breaking further than
             * necessary simplifies testing a bit.
             *
             * 两节点hashcode相同无法排序时,用System.identityHashCode再进行依次比较
             * identityHashCode 使用内存地址进行hashCode
             */
            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;
            }
    
            /**
             * Forms tree of the nodes linked from this node.
             * @return root of tree
             * 真正转变操作
             */
            final void treeify(Node<K,V>[] tab) {
                TreeNode<K,V> root = null;
                for (TreeNode<K,V> x = this, next; x != null; x = next) {
                    next = (TreeNode<K,V>)x.next;
                    x.left = x.right = null;
                    if (root == null) {// 第一个循环必然是头
                        x.parent = null;
                        x.red = false;
                        root = x;
                    }
                    else {
                        K k = x.key;
                        int h = x.hash;
                        Class<?> kc = null;
                        // 这里每次方元素需要在遍历树找到自己的位置,并不需要遍历全部节点,每次循环都可以知道在节点的左边还是右边,然后继续.
                        for (TreeNode<K,V> p = root;;) {
                            int dir, ph;//dir 用于标记在左侧还是右侧
                            K pk = p.key;
                            if ((ph = p.hash) > h)//按照hash值进行了排序
                                dir = -1;
                            else if (ph < h)
                                dir = 1;
                            else if ((kc == null &&
                                    (kc = comparableClassFor(k)) == null) ||
                                    (dir = compareComparables(kc, k, pk)) == 0)
                                // 和节点相同时情况 定义出在左还是右
                                dir = tieBreakOrder(k, pk);
    
                            TreeNode<K,V> xp = p;
                            // 知道循环到这个节点需要方的位置为空则可以挺直循环
                            if ((p = (dir <= 0) ? p.left : p.right) == null) {
                                x.parent = xp;
                                if (dir <= 0)
                                    xp.left = x;
                                else
                                    xp.right = x;
                                root = balanceInsertion(root, x);
                                break;
                            }
                        }
                    }
                }
                moveRootToFront(tab, root);
            }
    
            /**
             * Returns a list of non-TreeNodes replacing those linked from
             * this node.
             */
            final Node<K,V> untreeify(HashMap<K,V> map) {
                Node<K,V> hd = null, tl = null;
                for (Node<K,V> q = this; q != null; q = q.next) {
                    Node<K,V> p = map.replacementNode(q, null);
                    if (tl == null)
                        hd = p;
                    else
                        tl.next = p;
                    tl = p;
                }
                return hd;
            }
    
            /**
             * Tree version of putVal.
             */
            final TreeNode<K,V> putTreeVal(HashMap<K,V> map, Node<K,V>[] tab,
                                           int h, K k, V v) {
                Class<?> kc = null;
                boolean searched = false;
                TreeNode<K,V> root = (parent != null) ? root() : this;
                for (TreeNode<K,V> p = root;;) {
                    int dir, ph; K pk;
                    if ((ph = p.hash) > h)
                        dir = -1;
                    else if (ph < h)
                        dir = 1;
                    else if ((pk = p.key) == k || (k != null && k.equals(pk)))
                        return p;
                    else if ((kc == null &&
                            (kc = comparableClassFor(k)) == null) ||
                            (dir = compareComparables(kc, k, pk)) == 0) {
                        if (!searched) {
                            TreeNode<K,V> q, ch;
                            searched = true;
                            if (((ch = p.left) != null &&
                                    (q = ch.find(h, k, kc)) != null) ||
                                    ((ch = p.right) != null &&
                                            (q = ch.find(h, k, kc)) != null))
                                return q;
                        }
                        dir = tieBreakOrder(k, pk);
                    }
    
                    TreeNode<K,V> xp = p;
                    if ((p = (dir <= 0) ? p.left : p.right) == null) {
                        Node<K,V> xpn = xp.next;
                        TreeNode<K,V> x = map.newTreeNode(h, k, v, xpn);
                        if (dir <= 0)
                            xp.left = x;
                        else
                            xp.right = x;
                        xp.next = x;
                        x.parent = x.prev = xp;
                        if (xpn != null)
                            ((TreeNode<K,V>)xpn).prev = x;
                        moveRootToFront(tab, balanceInsertion(root, x));
                        return null;
                    }
                }
            }
    
            /**
             * Removes the given node, that must be present before this call.
             * This is messier than typical red-black deletion code because we
             * cannot swap the contents of an interior node with a leaf
             * successor that is pinned by "next" pointers that are accessible
             * independently during traversal. So instead we swap the tree
             * linkages. If the current tree appears to have too few nodes,
             * the bin is converted back to a plain bin. (The test triggers
             * somewhere between 2 and 6 nodes, depending on tree structure).
             */
            final void removeTreeNode(HashMap<K,V> map, Node<K,V>[] tab,
                                      boolean movable) {
                int n;
                if (tab == null || (n = tab.length) == 0)
                    return;
                int index = (n - 1) & hash;
                TreeNode<K,V> first = (TreeNode<K,V>)tab[index], root = first, rl;
                TreeNode<K,V> succ = (TreeNode<K,V>)next, pred = prev;
                if (pred == null)
                    tab[index] = first = succ;
                else
                    pred.next = succ;
                if (succ != null)
                    succ.prev = pred;
                if (first == null)
                    return;
                if (root.parent != null)
                    root = root.root();
                if (root == null || root.right == null ||
                        (rl = root.left) == null || rl.left == null) {
                    tab[index] = first.untreeify(map);  // too small
                    return;
                }
                TreeNode<K,V> p = this, pl = left, pr = right, replacement;
                if (pl != null && pr != null) {
                    TreeNode<K,V> s = pr, sl;
                    while ((sl = s.left) != null) // find successor
                        s = sl;
                    boolean c = s.red; s.red = p.red; p.red = c; // swap colors
                    TreeNode<K,V> sr = s.right;
                    TreeNode<K,V> pp = p.parent;
                    if (s == pr) { // p was s's direct parent
                        p.parent = s;
                        s.right = p;
                    }
                    else {
                        TreeNode<K,V> sp = s.parent;
                        if ((p.parent = sp) != null) {
                            if (s == sp.left)
                                sp.left = p;
                            else
                                sp.right = p;
                        }
                        if ((s.right = pr) != null)
                            pr.parent = s;
                    }
                    p.left = null;
                    if ((p.right = sr) != null)
                        sr.parent = p;
                    if ((s.left = pl) != null)
                        pl.parent = s;
                    if ((s.parent = pp) == null)
                        root = s;
                    else if (p == pp.left)
                        pp.left = s;
                    else
                        pp.right = s;
                    if (sr != null)
                        replacement = sr;
                    else
                        replacement = p;
                }
                else if (pl != null)
                    replacement = pl;
                else if (pr != null)
                    replacement = pr;
                else
                    replacement = p;
                if (replacement != p) {
                    TreeNode<K,V> pp = replacement.parent = p.parent;
                    if (pp == null)
                        root = replacement;
                    else if (p == pp.left)
                        pp.left = replacement;
                    else
                        pp.right = replacement;
                    p.left = p.right = p.parent = null;
                }
    
                TreeNode<K,V> r = p.red ? root : balanceDeletion(root, replacement);
    
                if (replacement == p) {  // detach
                    TreeNode<K,V> pp = p.parent;
                    p.parent = null;
                    if (pp != null) {
                        if (p == pp.left)
                            pp.left = null;
                        else if (p == pp.right)
                            pp.right = null;
                    }
                }
                if (movable)
                    moveRootToFront(tab, r);
            }
    
            /**
             * Splits nodes in a tree bin into lower and upper tree bins,
             * or untreeifies if now too small. Called only from resize;
             * see above discussion about split bits and indices.
             *
             * 修剪或转成链表
             *
             * @param map the map
             * @param tab the table for recording bin heads
             * @param index the index of the table being split
             * @param bit the bit of hash to split on
             */
            final void split(HashMap<K,V> map, Node<K,V>[] tab, int index, int bit) {
                TreeNode<K,V> b = this;
                // Relink into lo and hi lists, preserving order
                TreeNode<K,V> loHead = null, loTail = null;
                TreeNode<K,V> hiHead = null, hiTail = null;
                int lc = 0, hc = 0;
                for (TreeNode<K,V> e = b, next; e != null; e = next) {
                    next = (TreeNode<K,V>)e.next;
                    e.next = null;
                    if ((e.hash & bit) == 0) {
                        if ((e.prev = loTail) == null)
                            loHead = e;
                        else
                            loTail.next = e;
                        loTail = e;
                        ++lc;
                    }
                    else {
                        if ((e.prev = hiTail) == null)
                            hiHead = e;
                        else
                            hiTail.next = e;
                        hiTail = e;
                        ++hc;
                    }
                }
    
                if (loHead != null) {
                    if (lc <= UNTREEIFY_THRESHOLD)
                        tab[index] = loHead.untreeify(map);
                    else {
                        tab[index] = loHead;
                        if (hiHead != null) // (else is already treeified)
                            loHead.treeify(tab);
                    }
                }
                if (hiHead != null) {
                    if (hc <= UNTREEIFY_THRESHOLD)
                        tab[index + bit] = hiHead.untreeify(map);
                    else {
                        tab[index + bit] = hiHead;
                        if (loHead != null)
                            hiHead.treeify(tab);
                    }
                }
            }
    
            /* ------------------------------------------------------------ */
            // Red-black tree methods, all adapted from CLR
    
            // 旋转
            static <K,V> TreeNode<K,V> rotateLeft(TreeNode<K,V> root,
                                                  TreeNode<K,V> p) {
                TreeNode<K,V> r, pp, rl;
                if (p != null && (r = p.right) != null) {
                    if ((rl = p.right = r.left) != null)
                        rl.parent = p;
                    if ((pp = r.parent = p.parent) == null)
                        (root = r).red = false;
                    else if (pp.left == p)
                        pp.left = r;
                    else
                        pp.right = r;
                    r.left = p;
                    p.parent = r;
                }
                return root;
            }
    
            static <K,V> TreeNode<K,V> rotateRight(TreeNode<K,V> root,
                                                   TreeNode<K,V> p) {
                TreeNode<K,V> l, pp, lr;
                if (p != null && (l = p.left) != null) {
                    if ((lr = p.left = l.right) != null)
                        lr.parent = p;
                    if ((pp = l.parent = p.parent) == null)
                        (root = l).red = false;
                    else if (pp.right == p)
                        pp.right = l;
                    else
                        pp.left = l;
                    l.right = p;
                    p.parent = l;
                }
                return root;
            }
    
            static <K,V> TreeNode<K,V> balanceInsertion(TreeNode<K,V> root,
                                                        TreeNode<K,V> x) {
                x.red = true;
                for (TreeNode<K,V> xp, xpp, xppl, xppr;;) {
                    if ((xp = x.parent) == null) {
                        x.red = false;
                        return x;
                    }
                    else if (!xp.red || (xpp = xp.parent) == null)
                        return root;
                    if (xp == (xppl = xpp.left)) {
                        if ((xppr = xpp.right) != null && xppr.red) {
                            xppr.red = false;
                            xp.red = false;
                            xpp.red = true;
                            x = xpp;
                        }
                        else {
                            if (x == xp.right) {
                                root = rotateLeft(root, x = xp);
                                xpp = (xp = x.parent) == null ? null : xp.parent;
                            }
                            if (xp != null) {
                                xp.red = false;
                                if (xpp != null) {
                                    xpp.red = true;
                                    root = rotateRight(root, xpp);
                                }
                            }
                        }
                    }
                    else {
                        if (xppl != null && xppl.red) {
                            xppl.red = false;
                            xp.red = false;
                            xpp.red = true;
                            x = xpp;
                        }
                        else {
                            if (x == xp.left) {
                                root = rotateRight(root, x = xp);
                                xpp = (xp = x.parent) == null ? null : xp.parent;
                            }
                            if (xp != null) {
                                xp.red = false;
                                if (xpp != null) {
                                    xpp.red = true;
                                    root = rotateLeft(root, xpp);
                                }
                            }
                        }
                    }
                }
            }
    
            static <K,V> TreeNode<K,V> balanceDeletion(TreeNode<K,V> root,
                                                       TreeNode<K,V> x) {
                for (TreeNode<K,V> xp, xpl, xpr;;)  {
                    if (x == null || x == root)
                        return root;
                    else if ((xp = x.parent) == null) {
                        x.red = false;
                        return x;
                    }
                    else if (x.red) {
                        x.red = false;
                        return root;
                    }
                    else if ((xpl = xp.left) == x) {
                        if ((xpr = xp.right) != null && xpr.red) {
                            xpr.red = false;
                            xp.red = true;
                            root = rotateLeft(root, xp);
                            xpr = (xp = x.parent) == null ? null : xp.right;
                        }
                        if (xpr == null)
                            x = xp;
                        else {
                            TreeNode<K,V> sl = xpr.left, sr = xpr.right;
                            if ((sr == null || !sr.red) &&
                                    (sl == null || !sl.red)) {
                                xpr.red = true;
                                x = xp;
                            }
                            else {
                                if (sr == null || !sr.red) {
                                    if (sl != null)
                                        sl.red = false;
                                    xpr.red = true;
                                    root = rotateRight(root, xpr);
                                    xpr = (xp = x.parent) == null ?
                                            null : xp.right;
                                }
                                if (xpr != null) {
                                    xpr.red = (xp == null) ? false : xp.red;
                                    if ((sr = xpr.right) != null)
                                        sr.red = false;
                                }
                                if (xp != null) {
                                    xp.red = false;
                                    root = rotateLeft(root, xp);
                                }
                                x = root;
                            }
                        }
                    }
                    else { // symmetric
                        if (xpl != null && xpl.red) {
                            xpl.red = false;
                            xp.red = true;
                            root = rotateRight(root, xp);
                            xpl = (xp = x.parent) == null ? null : xp.left;
                        }
                        if (xpl == null)
                            x = xp;
                        else {
                            TreeNode<K,V> sl = xpl.left, sr = xpl.right;
                            if ((sl == null || !sl.red) &&
                                    (sr == null || !sr.red)) {
                                xpl.red = true;
                                x = xp;
                            }
                            else {
                                if (sl == null || !sl.red) {
                                    if (sr != null)
                                        sr.red = false;
                                    xpl.red = true;
                                    root = rotateLeft(root, xpl);
                                    xpl = (xp = x.parent) == null ?
                                            null : xp.left;
                                }
                                if (xpl != null) {
                                    xpl.red = (xp == null) ? false : xp.red;
                                    if ((sl = xpl.left) != null)
                                        sl.red = false;
                                }
                                if (xp != null) {
                                    xp.red = false;
                                    root = rotateRight(root, xp);
                                }
                                x = root;
                            }
                        }
                    }
                }
            }
    
            /**
             * Recursive invariant check
             */
            static <K,V> boolean checkInvariants(TreeNode<K,V> t) {
                TreeNode<K,V> tp = t.parent, tl = t.left, tr = t.right,
                        tb = t.prev, tn = (TreeNode<K,V>)t.next;
                if (tb != null && tb.next != t)
                    return false;
                if (tn != null && tn.prev != t)
                    return false;
                if (tp != null && t != tp.left && t != tp.right)
                    return false;
                if (tl != null && (tl.parent != t || tl.hash > t.hash))
                    return false;
                if (tr != null && (tr.parent != t || tr.hash < t.hash))
                    return false;
                if (t.red && tl != null && tl.red && tr != null && tr.red)
                    return false;
                if (tl != null && !checkInvariants(tl))
                    return false;
                if (tr != null && !checkInvariants(tr))
                    return false;
                return true;
            }
        }
    
    }
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  • 原文地址:https://www.cnblogs.com/killbug/p/7679043.html
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