TreeMap 红黑树

TreeMap 红黑树

源码如下:

public class TreeMap<K,V> extends AbstractMap<K,V> implements NavigableMap<K,V>, Cloneable, java.io.Serializable public interface NavigableMap<K,V> extends SortedMap<K,V> { public interface SortedMap<K,V> extends Map<K,V> { Comparator<? super K> comparator();

数据存储结构：

TreeMap可以实现根据key排序功能。

使用红黑树存储数据  ：平衡排序二叉树，存储数据时，先要实现排序二叉树，再实现平衡二叉树。

主要方法：

1）put(k,v)

Entry<K,V> t = root; if (t == null) { compare(key, key); // type (and possibly null) check root = new Entry<>(key, value, null); size = 1; modCount++; return null; } 如果map为空（root根为空），新建一个entry，作为root，返回；

int cmp; Entry<K,V> 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(); 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); } 在排序二叉树中查找新节点的父节点parent，（如果自带的比较器不为空cpr!=null，根据自带比较器进行查找；否则else根据默认的比较器查找）;

Entry<K,V> e = new Entry<>(key, value, parent); if (cmp < 0) parent.left = e; else parent.right = e; 找到父节点后，new entry作为父节点的叶子节点连接上父节点。

至此新的二叉树实现了排序二叉树。下面将调整为平衡二叉树，

fixAfterInsertion(e); size++; modCount++; return null; private void fixAfterInsertion(Entry<K,V> x) { x.color = RED; while (x != null && x != root && x.parent.color == RED) { if (parentOf(x) == leftOf(parentOf(parentOf(x)))) { Entry<K,V> 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<K,V> 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; }

平衡二叉树实现过程如上图稍后补充：

2）get(k,v)

// Offload comparator-based version for sake of performance if (comparator != null) return getEntryUsingComparator(key); if (key == null) throw new NullPointerException(); Comparable<? super K> k = (Comparable<? super K>) key; Entry<K,V> 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;

相对添加简单，查找排序二叉树中的节点。

3）remove(key)

Entry<K,V> p = getEntry(key); if (p == null) return null; 根据k查找到entry实体；

V oldValue = p.value; deleteEntry(p); return oldValue; private void deleteEntry(Entry<K,V> p) { 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<K,V> s = successor(p); p.key = s.key; p.value = s.value; p = s; } // p has 2 children }

再remove掉该节点；同添加节点一样，要先实现排序二叉树，在调整为平衡二叉树。

successor（p）：返回p的继承节点。

static <K,V> TreeMap.Entry<K,V> successor(Entry<K,V> t) { if (t == null) return null; else if (t.right != null) { Entry<K,V> p = t.right; while (p.left != null) p = p.left; return p; } else { Entry<K,V> p = t.parent; Entry<K,V> ch = t; while (p != null && ch == p.right) { ch = p; p = p.parent; } return p; } }

过程为：p为null， 返回null；先找p的右孩子的最左子孙（比p大的最小节点），返回；没有前面的节点时，返回p的父节点（第一个自身为左孩子的父节点，即比p小的最大节点）。

// Start fixup at replacement node, if it exists. Entry<K,V> 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; } 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; } }

至此，删除了当前节点，下面平衡二叉树

// Fix replacement if (p.color == BLACK) fixAfterDeletion(replacement); private void fixAfterDeletion(Entry<K,V> x) { while (x != root && colorOf(x) == BLACK) { if (x == leftOf(parentOf(x))) { Entry<K,V> sib = rightOf(parentOf(x)); if (colorOf(sib) == RED) { setColor(sib, BLACK); setColor(parentOf(x), RED); rotateLeft(parentOf(x)); sib = rightOf(parentOf(x)); } if (colorOf(leftOf(sib)) == BLACK && colorOf(rightOf(sib)) == BLACK) { setColor(sib, RED); x = parentOf(x); } else { if (colorOf(rightOf(sib)) == BLACK) { setColor(leftOf(sib), BLACK); setColor(sib, RED); rotateRight(sib); sib = rightOf(parentOf(x)); } setColor(sib, colorOf(parentOf(x))); setColor(parentOf(x), BLACK); setColor(rightOf(sib), BLACK); rotateLeft(parentOf(x)); x = root; } } else { // symmetric Entry<K,V> sib = leftOf(parentOf(x)); if (colorOf(sib) == RED) { setColor(sib, BLACK); setColor(parentOf(x), RED); rotateRight(parentOf(x)); sib = leftOf(parentOf(x)); } if (colorOf(rightOf(sib)) == BLACK && colorOf(leftOf(sib)) == BLACK) { setColor(sib, RED); x = parentOf(x); } else { if (colorOf(leftOf(sib)) == BLACK) { setColor(rightOf(sib), BLACK); setColor(sib, RED); rotateLeft(sib); sib = leftOf(parentOf(x)); } setColor(sib, colorOf(parentOf(x))); setColor(parentOf(x), BLACK); setColor(leftOf(sib), BLACK); rotateRight(parentOf(x)); x = root; } } } setColor(x, BLACK); }