摘要:基于红黑树实现,在之前篇章中有所涉及,所以本篇重点不在此。费解顺带一提,如果你还记得之前文章中的也用到了红黑树,而它先比较的再比值,这比较的是值。在这的作用类似中的,修复红黑树性质。
TreeMap基于红黑树实现,在之前HashMap篇章中有所涉及,所以本篇重点不在此。上路~containsKey() --> getEntry() --> getEntryUsingComparator()
/** * Returns {@code true} if this map contains a mapping for the specified * key. * * @param key key whose presence in this map is to be tested * @return {@code true} if this map contains a mapping for the * specified key * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ public boolean containsKey(Object key) { return getEntry(key) != null; // Key不能为null } /** * Returns this map"s entry for the given key, or {@code null} if the map * does not contain an entry for the key. * * @return this map"s entry for the given key, or {@code null} if the map * does not contain an entry for the key * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ final EntrygetEntry(Object key) { // Offload comparator-based version for sake of performance if (comparator != null) return getEntryUsingComparator(key); if (key == null) throw new NullPointerException(); @SuppressWarnings("unchecked") Comparable super K> k = (Comparable super K>) key; Entry p = root; while (p != null) { int cmp = k.compareTo(p.key); if (cmp < 0) p = p.left; else if (cmp > 0) p = p.right; else return p; } return null; } /** * Version of getEntry using comparator. Split off from getEntry * for performance. (This is not worth doing for most methods, * that are less dependent on comparator performance, but is * worthwhile here.) */ final Entry getEntryUsingComparator(Object key) { @SuppressWarnings("unchecked") K k = (K) key; Comparator super K> cpr = comparator; if (cpr != null) { Entry p = root; while (p != null) { int cmp = cpr.compare(k, p.key); if (cmp < 0) p = p.left; else if (cmp > 0) p = p.right; else return p; } } return null; }
虽然明面上是获取值的方法,本质却是比出个高低等。这里将Java的java.util.Comparator(比较器排序)、java.lang.Comparable(自然排序)都用到了。顺便补了两者知识点(见文末①)。当然这里好奇的是源码中将使用comparator比较独立提成方法,说是能提高性能。why?反向思考下,假使将getEntryUsingComparator()方法内代码放回getEntry()似乎也就多了一对“{}”。费解- -
顺带一提,如果你还记得之前文章中的HashMap也用到了红黑树,而它先比较的hash再比key值,这比较的是key值。
put() --> compare() --> fixAfterInsertion()/** * 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 {@code key}, or * {@code null} if there was no mapping for {@code key}. * (A {@code null} return can also indicate that the map * previously associated {@code null} with {@code key}.) * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ public V put(K key, V value) { Entryt = root; if (t == null) { compare(key, key); // type (and possibly null) check root = new Entry<>(key, value, null); size = 1; modCount++; return null; } int cmp; Entry parent; // split comparator and comparable paths Comparator super K> cpr = comparator; if (cpr != null) { do { parent = t; cmp = cpr.compare(key, t.key); if (cmp < 0) t = t.left; else if (cmp > 0) t = t.right; else return t.setValue(value); } while (t != null); } else { if (key == null) throw new NullPointerException(); @SuppressWarnings("unchecked") Comparable super K> k = (Comparable super K>) key; do { parent = t; cmp = k.compareTo(t.key); if (cmp < 0) t = t.left; else if (cmp > 0) t = t.right; else return t.setValue(value); } while (t != null); } Entry e = new Entry<>(key, value, parent); if (cmp < 0) parent.left = e; else parent.right = e; fixAfterInsertion(e); size++; modCount++; return null; } /** * Compares two keys using the correct comparison method for this TreeMap. */ @SuppressWarnings("unchecked") final int compare(Object k1, Object k2) { return comparator==null ? ((Comparable super K>)k1).compareTo((K)k2) : comparator.compare((K)k1, (K)k2); } /** From CLR */ private void fixAfterInsertion(Entry x) { x.color = RED; while (x != null && x != root && x.parent.color == RED) { if (parentOf(x) == leftOf(parentOf(parentOf(x)))) { Entry y = rightOf(parentOf(parentOf(x))); if (colorOf(y) == RED) { setColor(parentOf(x), BLACK); setColor(y, BLACK); setColor(parentOf(parentOf(x)), RED); x = parentOf(parentOf(x)); } else { if (x == rightOf(parentOf(x))) { x = parentOf(x); rotateLeft(x); } setColor(parentOf(x), BLACK); setColor(parentOf(parentOf(x)), RED); rotateRight(parentOf(parentOf(x))); } } else { Entry y = leftOf(parentOf(parentOf(x))); if (colorOf(y) == RED) { setColor(parentOf(x), BLACK); setColor(y, BLACK); setColor(parentOf(parentOf(x)), RED); x = parentOf(parentOf(x)); } else { if (x == leftOf(parentOf(x))) { x = parentOf(x); rotateRight(x); } setColor(parentOf(x), BLACK); setColor(parentOf(parentOf(x)), RED); rotateLeft(parentOf(parentOf(x))); } } } root.color = BLACK; }
"compare(key, key);"是一个有意思写法。从注释直译就是类型(为null可能性)检查。为空检查很好理解,因为null.xx()肯定跑异常,至于类型检查笔者理解是要求键值实现Comparable接口。
"from CLR"是指Cormen, Leiserson, Rivest,他们是算法导论的作者,也就是说TreeMap里面算法都是参照算法导论的伪代码。
由于TreeMap的有序性,使其增删查都是先进行比较,找到合适的位置。fixAfterInsertion()在这的作用类似HashMap中的balanceInsertion(),修复红黑树性质。
deleteEntry() --> successor() --> fixAfterDeletion()/** * Delete node p, and then rebalance the tree. */ private void deleteEntry(Entryp) { modCount++; size--; // If strictly internal, copy successor"s element to p and then make p // point to successor. if (p.left != null && p.right != null) { Entry s = successor(p); p.key = s.key; p.value = s.value; p = s; } // p has 2 children // Start fixup at replacement node, if it exists. Entry replacement = (p.left != null ? p.left : p.right); if (replacement != null) { // Link replacement to parent replacement.parent = p.parent; if (p.parent == null) root = replacement; else if (p == p.parent.left) p.parent.left = replacement; else p.parent.right = replacement; // Null out links so they are OK to use by fixAfterDeletion. p.left = p.right = p.parent = null; // Fix replacement if (p.color == BLACK) fixAfterDeletion(replacement); } else if (p.parent == null) { // return if we are the only node. root = null; } else { // No children. Use self as phantom replacement and unlink. if (p.color == BLACK) fixAfterDeletion(p); if (p.parent != null) { if (p == p.parent.left) p.parent.left = null; else if (p == p.parent.right) p.parent.right = null; p.parent = null; } } } /** * Returns the successor of the specified Entry, or null if no such. */ static TreeMap.Entry successor(Entry t) { if (t == null) return null; else if (t.right != null) { // ① ② Entry p = t.right; while (p.left != null) p = p.left; return p; } else { //③ ④ ⑤ Entry p = t.parent; Entry ch = t; while (p != null && ch == p.right) { ch = p; p = p.parent; } return p; } }
successor()可以简单的理解为“一个升序数组a[index],successor即为a[index+1]”。相对的还有prodecessor()。源码中可能出现的情况抽象如下图(while只举一次循环为例)。
deleteEntry调用successor时,由于right != null,所以不会出现③ ④ ⑤的情况。基本思路就是找到“a[index+1]”(p)替换待删节点,然后使“a[index+1]”的子节点(replacement)指向其父节点(Link replacement to parent),最后清p、fixAfterDeletion修复红黑树性。
如果觉得这个看懂了,可以挑战下HashMap.TreeNode.removeTreeNode()。
说点什么:TreeMap 有序;非线程安全;key值不支持null...;
实现了NavigableMap接口(见文末②),NavigableMap具有了针对给定搜索目标返回最接近匹配项的导航方法。
如: lowerEntry、floorEntry、ceilingEntry 和 higherEntry 分别返回与小于、小于等于、大于等于、大于给定键的 Map.Entry对象,如果不存在这样的键,则返回 null。
实现了SortedMap接口:它用来保持键的有序顺序,也提供了范围检索的一些方法;
如: headMap、subMap、tailMap分别返回小于结束键、大于或等于开始和小于结束键、大于或等于开始键的Map.Entry对象。
添加到SortedMap实现类的元素必须实现Comparable接口,否则您必须给它的构造函数提供一个Comparator接口的实现。TreeMap类是它的唯一一份实现。
更多有意思的内容,欢迎访问笔者小站: rebey.cn
知识点:①Java中自然排序和比较器排序详解:Comparable与Comparator;
②计算机程序的思维逻辑 (43) - 剖析TreeMap:方法应用举例;
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