import java.util.Random;
public class IntSkipList {
private int maxLevel;
private IntSkipListNode[] root;
private int[] powers;
private Random rd = new Random();
IntSkipList() {
this(4);
}
IntSkipList (int i) {
maxLevel = i;
root = new IntSkipListNode[maxLevel];
powers = new int[maxLevel];
for (int j = 0; j < maxLevel; j++)
root[j] = null;
choosePowers();
}
public boolean isEmpty() {
return root[0] == null;
}
public void choosePowers() {
powers[maxLevel-1] = (2 << (maxLevel-1)) - 1; // 2^maxLevel - 1
for (int i = maxLevel - 2, j = 0; i >= 0; i--, j++)
powers[i] = powers[i+1] - (2 << j); // 2^(j+1)
}
public int chooseLevel() {
int i, r = Math.abs(rd.nextInt()) % powers[maxLevel-1] + 1;
for (i = 1; i < maxLevel; i++)
if (r < powers[i])
return i-1; // return a level < the highest level;
return i-1; // return the highest level;
}
// make sure (with isEmpty()) that skipListSearch() is called for a nonepty list;
public int skipListSearch (int key) {
int lvl;
IntSkipListNode prev, curr; // find the highest non-null
for (lvl = maxLevel-1; lvl >= 0 && root[lvl] == null; lvl--); // level;
prev = curr = root[lvl];
while (true) {
if (key == curr.key) // success if equal;
return curr.key;
else if (key < curr.key) { // if smaller, go down,
if (lvl == 0) // if possible
return 0;
else if (curr == root[lvl]) // by one level
curr = root[--lvl]; // starting from the
else curr = prev.next[--lvl]; // predecessor which
} // can be the root;
else { // if greater,
prev = curr; // go to the next
if (curr.next[lvl] != null) // non-null node
curr = curr.next[lvl]; // on the same level
else { // or to a list on a lower level;
for (lvl--; lvl >= 0 && curr.next[lvl] == null; lvl--);
if (lvl >= 0)
curr = curr.next[lvl];
else return 0;
}
}
}
}
public void skipListInsert (int key) {
IntSkipListNode[] curr = new IntSkipListNode[maxLevel];
IntSkipListNode[] prev = new IntSkipListNode[maxLevel];
IntSkipListNode newNode;
int lvl, i;
curr[maxLevel-1] = root[maxLevel-1];
prev[maxLevel-1] = null;
for (lvl = maxLevel - 1; lvl >= 0; lvl--) {
while (curr[lvl] != null && curr[lvl].key < key) { // go to the next
prev[lvl] = curr[lvl]; // if smaller;
curr[lvl] = curr[lvl].next[lvl];
}
if (curr[lvl] != null && curr[lvl].key == key) // don't include
return; // duplicates;
if (lvl > 0) // go one level down
if (prev[lvl] == null) { // if not the lowest
curr[lvl-1] = root[lvl-1]; // level, using a link
prev[lvl-1] = null; // either from the root
}
else { // or from the predecessor;
curr[lvl-1] = prev[lvl].next[lvl-1];
prev[lvl-1] = prev[lvl];
}
}
lvl = chooseLevel(); // generate randomly level for newNode;
newNode = new IntSkipListNode(key,lvl+1);
for (i = 0; i <= lvl; i++) { // initialize next fields of
newNode.next[i] = curr[i]; // newNode and reset to newNode
if (prev[i] == null) // either fields of the root
root[i] = newNode; // or next fields of newNode's
else prev[i].next[i] = newNode; // predecessors;
}
}
public void display() {
System.out.println("Print list:");
for (int i = maxLevel-1; i >= 0; i--) { // print list level by level;
for (IntSkipListNode p = root[i]; p != null; p = p.next[i])
System.out.print(p.key + " ");
System.out.println("|");
}
}
}