跳表是一種基于鏈表實現的數據結構,它能夠比傳統單鏈表更快地進行查找和更新操作。Java跳表通過利用隨機數生成器,將節點按照一定規則連接起來,使得查找時間復雜度為O(log n)。跳表在Java中有很多應用,比如Redis中的有序集合,以及一些集合操作的實現等。
public class SkipList { private int levels; private SkipListNode header; private Random rand; public SkipList(int maxLevels, SkipListNode header) { this.levels = 1; this.header = header; this.rand = new Random(); } public void insert(int value) { int count = 0; SkipListNode current = header; SkipListNode[] update = new SkipListNode[levels]; for (int i = levels - 1; i >= 0; i--) { while (current.getForward(i) != null && current.getForward(i).getValue()< value) { current = current.getForward(i); } update[i] = current; } current = current.getForward(0); if (current != null && current.getValue() == value) { return; } int newLevels = 1; while (rand.nextBoolean()) { newLevels++; } if (newLevels >levels) { for (int i = levels; i< newLevels; i++) { update[i] = header; } levels = newLevels; } current = new SkipListNode(value, newLevels); for (int i = 0; i< newLevels; i++) { current.setForward(i, update[i].getForward(i)); update[i].setForward(i, current); } } public boolean search(int value) { SkipListNode current = header; for (int i = levels - 1; i >= 0; i--) { while (current.getForward(i) != null && current.getForward(i).getValue()< value) { current = current.getForward(i); } } current = current.getForward(0); return (current != null && current.getValue() == value); } public void delete(int value) { SkipListNode current = header; SkipListNode[] update = new SkipListNode[levels]; for (int i = levels - 1; i >= 0; i--) { while (current.getForward(i) != null && current.getForward(i).getValue()< value) { current = current.getForward(i); } update[i] = current; } current = current.getForward(0); if (current != null && current.getValue() == value) { for (int i = 0; i< levels; i++) { if (update[i].getForward(i) != current) { break; } update[i].setForward(i, current.getForward(i)); } } } }
上述代碼是一個簡單的Java跳表實現。它通過維護每個節點的前向指針數組,和隨機數生成器來實現節點的層數變化和排序。除了基本的插入、刪除、查找操作之外,還可以實現一些集合操作,比如求交集、并集等,同時,跳表的平衡性和可擴展性使得它有很好的應用前景。