/// <summary>
/// Returns the first node whose value matches the input value
/// </summary>
public virtual SkipListNode <T> Find(T value)
{
SkipListNode <T> foundNode = this.topLeft;
//Look for the highest-level node with an element value matching the parameter value
while (foundNode != null && foundNode.Next != null)
{
if (!foundNode.Next.IsFooter() && foundNode.Next.Value.CompareTo(value) < 0) //next node's value is still smaller
{
foundNode = foundNode.Next; //keep scanning across
}
else
{
if (!foundNode.Next.IsFooter() && foundNode.Next.Value.Equals(value)) //value found
{
foundNode = foundNode.Next;
break;
}
else
{
foundNode = foundNode.Below; //element not in this level, scan down
}
}
}
return(foundNode);
}
/// <summary>
/// Removes all the empty levels leftover in the Skip List
/// </summary>
protected void clearEmptyLevels()
{
if (this.levels > 1) //more than one level, don't want to remove bottom level
{
SkipListNode <T> currentNode = this.topLeft;
while (currentNode != this.bottomLeft) //do not remove the bottom level
{
if (currentNode.IsHeader() && currentNode.Next.IsFooter())
{
SkipListNode <T> belowNode = currentNode.Below;
//Remove the empty level
//Update pointers
topLeft = currentNode.Below;
//Remove links
currentNode.Next.Dispose();
currentNode.Dispose();
//Update counters
this.levels--;
currentNode = belowNode; //scan down
}
else
{
break; //a single non-emtpy level means the rest of the levels are not empty
}
}
}
}
public void Dispose()
{
value = default(T);
next = null;
previous = null;
above = null;
previous = null;
}
public SkipList()
{
topLeft = getEmptyLevel(); //create an empty level
bottomLeft = topLeft;
levels = 1; //update the level count
size = 0; //no elements added
random = new Random(); //used for adding new values
}
/// <summary>
/// Removes all values in the Skip List
/// </summary>
public virtual void Clear()
{
SkipListNode <T> currentNode = this.Head;
while (currentNode != null)
{
SkipListNode <T> nextNode = currentNode.Next; //save reference to next node
if (!currentNode.IsHeader() && !currentNode.IsFooter())
{
this.Remove(currentNode);
}
currentNode = nextNode;
}
}
/// <summary>
/// Returns the highest node on the first tower to match the input value
/// </summary>
public virtual SkipListNode <T> FindHighest(SkipListNode <T> valueNode)
{
if (valueNode == null)
{
return(null);
}
else
{
//Scan up to the highest level
while (valueNode.Above != null)
{
valueNode = valueNode.Above;
}
return(valueNode);
}
}
/// <summary>
/// Returns the lowest node on the first tower to match the input value
/// </summary>
public virtual SkipListNode <T> FindLowest(SkipListNode <T> valueNode)
{
if (valueNode == null)
{
return(null);
}
else
{
//Scan down to the lowest level
while (valueNode.Below != null)
{
valueNode = valueNode.Below;
}
return(valueNode);
}
}
public bool MoveNext()
{
if (current == null)
{
current = this.skipList.Head.Next; //Head is header node, start after
}
else
{
current = current.Next;
}
if (current != null && current.IsFooter())
{
current = null; //end of list
}
return(current != null);
}
/// <summary>
/// Gets the number of levels of a value in the Skip List
/// </summary>
public virtual int GetHeight(SkipListNode <T> valueNode)
{
int height = 0;
SkipListNode <T> currentNode = valueNode;
//Move all the way down to the bottom first
while (currentNode.Below != null)
{
currentNode = currentNode.Below;
}
//Count going back up to the top
while (currentNode != null)
{
height++;
currentNode = currentNode.Above;
}
return(height);
}
/// <summary>
/// Removes a value or node from the Skip List
/// </summary>
public virtual bool Remove(SkipListNode <T> valueNode)
{
if (valueNode == null)
{
return(false);
}
else
{
//Make sure node is top-level node in it's tower
if (valueNode.Above != null)
{
valueNode = this.FindHighest(valueNode);
}
//---Delete nodes going down the tower
SkipListNode <T> currentNodeDown = valueNode;
while (currentNodeDown != null)
{
//Remove right-left links
SkipListNode <T> previousNode = currentNodeDown.Previous;
SkipListNode <T> nextNode = currentNodeDown.Next;
//Link the previous and next nodes to each other
previousNode.Next = nextNode;
nextNode.Previous = previousNode;
SkipListNode <T> belowNode = currentNodeDown.Below; //scan down
currentNodeDown.Dispose(); //unlink previous
currentNodeDown = belowNode;
}
//update counter
this.size--;
//Clean up the Skip List by removing levels that are now empty
this.clearEmptyLevels();
return(true);
}
}
public void Reset()
{
current = null;
}
public void Dispose()
{
current = null;
}
/// <summary>
/// Gets the number of levels of a value in the Skip List
/// </summary>
public virtual int GetHeight(T value)
{
SkipListNode <T> valueNode = this.FindLowest(value);
return(this.GetHeight(valueNode));
}
/// <summary>
/// Removes a value or node from the Skip List
/// </summary>
public virtual bool Remove(T value)
{
SkipListNode <T> valueNode = this.FindHighest(value);
return(this.Remove(valueNode));
}
/// <summary>
/// Returns the highest node on the first tower to match the input value
/// </summary>
public virtual SkipListNode <T> FindHighest(T value)
{
SkipListNode <T> valueNode = this.Find(value);
return(this.FindHighest(valueNode));
}
/// <summary>
/// Add a value to the Skip List
/// </summary>
public virtual void Add(T value)
{
int valueLevels = getRandomLevels(); //determine height of value's tower
//Add levels to entire list if necessary
int newLevelCount = valueLevels - this.levels; //number of levels missing
while (newLevelCount > 0)
{
//Create new level
SkipListNode <T> newLevel = getEmptyLevel();
//Link down
newLevel.Below = this.topLeft;
this.topLeft.Above = newLevel;
this.topLeft = newLevel; //update reference to most top-left node
//Update counters
newLevelCount--;
this.levels++;
}
//Insert the value in the proper position, creating as many levels as was randomly determined
SkipListNode <T> currentNode = this.topLeft;
SkipListNode <T> lastNodeAbove = null; //keeps track of the upper-level nodes in a tower
int currentLevel = this.levels - 1;
while (currentLevel >= 0 && currentNode != null)
{
if (currentLevel > valueLevels) //too high on the list, nothing would be added to this level
{
currentNode = currentNode.Below; //scan down
currentLevel--; //going one level lower
continue; //skip adding to this level
}
//Add the value to the current level
//Find the biggest value on the current level that is less than the value to be added
while (currentNode.Next != null)
{
if (!currentNode.Next.IsFooter() && currentNode.Next.Value.CompareTo(value) < 0) //smaller
{
currentNode = currentNode.Next; //keep scanning across
}
else
{
break; //the next node would be bigger than the value
}
}
//Insert the value right after the node found
SkipListNode <T> newNode = new SkipListNode <T>(value);
newNode.Next = currentNode.Next;
newNode.Previous = currentNode;
newNode.Next.Previous = newNode;
currentNode.Next = newNode;
//Link down/up the tower
if (lastNodeAbove != null) //is this node part of a tower?
{
lastNodeAbove.Below = newNode;
newNode.Above = lastNodeAbove;
}
lastNodeAbove = newNode; //start/continue tower
//Scan down
currentNode = currentNode.Below;
currentLevel--;
}
this.size++; //update count
}
