/// <inheritdoc cref="IHeap{TKey,TValue}.Remove"/>
public override TValue Remove(PairingHeapNode <TKey, TValue> node)
{
if (node == null)
{
throw new ArgumentNullException(nameof(node));
}
// Remove the node from its list of siblings. Merge all its children to form
// a new tree and merge that tree with the root.
var item = node.Value;
if (node == this.Root)
{
// Simplified case when we remove the root
this.Root = this.MergePairwisely(node.Child);
}
else
{
// The node is somewhere in the middle of the tree, so before we handle
// the child of the node, we also need to fix the list of siblings.
node.RemoveFromListOfSiblings();
// The only part left is the child of the node. As stated previously,
// we will simply merge it with the entire heap.
this.Root = this.Merge(this.Root, this.MergePairwisely(node.Child));
}
--this.count;
return(item);
}
/// <inheritdoc cref="IHeap{TKey,TValue}.Update"/>
public override void Update(PairingHeapNode <TKey, TValue> node, TKey key)
{
if (node == null)
{
throw new ArgumentNullException(nameof(node));
}
var relation = this.Comparer.Compare(key, node.Key);
node.Key = key;
// If the new value is considered equal to the previous value, there is no need
// to fix the heap property, because it is already preserved.
if (relation == 0)
{
return;
}
if (relation < 0)
{
// In case the root gets a value that should be extracted from the heap even
// earlier, there is also no need to fix anything.
if (node == this.Root)
{
return;
}
node.RemoveFromListOfSiblings();
this.Root = this.Merge(this.Root, node);
return;
}
// In case the node was updated with a greater value, it is in the right spot.
// However, the heap property might be violated for all its children. For that
// reason we will merge them pairwisely to form a single tree and merge this
// tree with our heap.
var child = node.Child;
if (child == null)
{
return;
}
node.Child = null;
child.Previous = null; // TODO: this line might be not needed
var tree = this.MergePairwisely(child);
this.Root = this.Merge(this.Root, tree);
}