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592 lines
20 KiB
592 lines
20 KiB
// Needed for NET35 (SortedSet, OrderedCollection) |
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#if !NET_4_6 |
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using System; |
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using System.Collections.Generic; |
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using System.Threading; |
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namespace LinqInternal.Collections.Specialized |
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{ |
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internal sealed partial class AVLTree<TKey, TValue> : IEnumerable<AVLTree<TKey, TValue>.AVLNode> |
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{ |
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[Serializable] |
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public sealed class AVLNode |
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{ |
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private readonly TKey _key; |
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private readonly TValue _value; |
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|
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private int _balance; |
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private int _depth; |
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private AVLNode _left; |
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private AVLNode _right; |
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|
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private AVLNode(TKey key, TValue value) |
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{ |
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_key = key; |
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_value = value; |
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_left = null; |
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_right = null; |
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} |
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public TKey Key |
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{ |
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get { return _key; } |
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} |
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public AVLNode Left |
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{ |
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get { return _left; } |
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} |
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public AVLNode Right |
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{ |
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get { return _right; } |
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} |
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public TValue Value |
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{ |
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get { return _value; } |
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} |
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public int CompareTo(AVLNode other, IComparer<TKey> comparer) |
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{ |
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if (comparer == null) |
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{ |
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throw new ArgumentNullException("comparer"); |
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} |
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if (other == null) |
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{ |
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return 1; |
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} |
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return comparer.Compare(_key, other._key); |
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} |
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internal static void Add(ref AVLNode node, TKey key, TValue value, Comparison<TKey> comparison) |
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{ |
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var created = new AVLNode(key, value); |
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AddExtracted(ref node, key, comparison, created); |
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} |
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|
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internal static bool AddNonDuplicate(ref AVLNode node, TKey key, TValue value, Comparison<TKey> comparison) |
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{ |
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return AddNonDuplicateExtracted(ref node, key, value, comparison, null); |
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} |
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internal static void Bound(AVLNode node, TKey key, Comparison<TKey> comparison, out AVLNode lower, out AVLNode upper) |
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{ |
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lower = null; |
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upper = null; |
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while (node != null) |
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{ |
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var compare = comparison.Invoke(key, node._key); |
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if (compare <= 0) |
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{ |
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upper = node; |
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} |
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if (compare >= 0) |
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{ |
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lower = node; |
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} |
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if (compare == 0) |
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{ |
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break; |
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} |
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node = compare > 0 ? node._right : node._left; |
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} |
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} |
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internal static IEnumerable<AVLNode> EnumerateFrom(AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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var stack = new Stack<AVLNode>(); |
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while (node != null) |
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{ |
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var compare = comparison.Invoke(key, node._key); |
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if (compare == 0) |
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{ |
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break; |
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} |
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if (compare > 0) |
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{ |
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node = node._right; |
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} |
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else |
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{ |
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stack.Push(node); |
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node = node._left; |
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} |
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} |
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while (true) |
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{ |
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if (node != null) |
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{ |
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yield return node; |
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foreach (var item in EnumerateRoot(node._right)) |
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{ |
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yield return item; |
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} |
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} |
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if (stack.Count == 0) |
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{ |
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break; |
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} |
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node = stack.Pop(); |
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} |
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} |
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internal static IEnumerable<AVLNode> EnumerateRoot(AVLNode node) |
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{ |
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if (node != null) |
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{ |
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var stack = new Stack<AVLNode>(); |
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while (true) |
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{ |
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while (node != null) |
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{ |
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stack.Push(node); |
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node = node.Left; |
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} |
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if (stack.Count > 0) |
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{ |
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node = stack.Pop(); |
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yield return node; |
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node = node.Right; |
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} |
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else |
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{ |
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break; |
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} |
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} |
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} |
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} |
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internal static AVLNode Get(AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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// NOTICE this method has no null check |
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while (node != null) |
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{ |
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var compare = comparison(key, node._key); |
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if (compare == 0) |
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{ |
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break; |
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} |
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node = compare > 0 ? node._right : node._left; |
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} |
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return node; |
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} |
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internal static AVLNode GetFirst(AVLNode node) |
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{ |
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AVLNode result = null; |
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while (node != null) |
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{ |
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result = node; |
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node = node._left; |
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} |
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return result; |
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} |
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internal static AVLNode GetLast(AVLNode node) |
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{ |
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AVLNode result = null; |
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while (node != null) |
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{ |
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result = node; |
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node = node._right; |
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} |
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return result; |
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} |
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internal static AVLNode GetNearestLeft(AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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AVLNode result = null; |
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while (node != null) |
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{ |
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var compare = comparison.Invoke(key, node._key); |
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if (compare >= 0) |
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{ |
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result = node; |
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} |
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if (compare == 0) |
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{ |
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break; |
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} |
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node = compare < 0 ? node._left : node._right; |
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} |
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return result; |
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} |
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internal static AVLNode GetNearestRight(AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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AVLNode result = null; |
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while (node != null) |
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{ |
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var compare = comparison.Invoke(key, node._key); |
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if (compare <= 0) |
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{ |
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result = node; |
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} |
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if (compare == 0) |
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{ |
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break; |
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} |
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node = compare > 0 ? node._right : node._left; |
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} |
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return result; |
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} |
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internal static AVLNode GetOrAdd(ref AVLNode node, TKey key, Func<TKey, TValue> factory, Comparison<TKey> comparison, out bool isNew) |
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{ |
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return GetOrAddExtracted(ref node, key, factory, comparison, null, out isNew); |
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} |
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internal static bool Remove(ref AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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// NOTICE this method has no null check |
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if (node == null) |
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{ |
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return false; |
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} |
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var compare = comparison(key, node._key); |
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if (compare == 0) |
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{ |
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var result = RemoveExtracted(ref node); |
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return result; |
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} |
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try |
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{ |
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if (compare < 0) |
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{ |
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return Remove(ref node._left, key, comparison); |
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} |
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return Remove(ref node._right, key, comparison); |
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} |
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finally |
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{ |
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MakeBalanced(ref node); |
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} |
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} |
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internal static AVLNode RemoveNearestLeft(ref AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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AVLNode result = null; |
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return RemoveNearestLeftExtracted(ref node, ref result, key, comparison); |
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} |
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internal static AVLNode RemoveNearestRight(ref AVLNode node, TKey key, Comparison<TKey> comparison) |
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{ |
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AVLNode result = null; |
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return RemoveNearestRightExtracted(ref node, ref result, key, comparison); |
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} |
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private static void AddExtracted(ref AVLNode node, TKey key, Comparison<TKey> comparison, AVLNode created) |
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{ |
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// NOTICE this method has no null check |
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// Ok, it has for node only |
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int compare; |
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if (node == null || (compare = comparison(key, node._key)) == 0) |
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{ |
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if (Interlocked.CompareExchange(ref node, created, null) == null) |
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{ |
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return; |
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} |
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compare = -node._balance; |
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} |
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if (compare < 0) |
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{ |
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AddExtracted(ref node._left, key, comparison, created); |
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} |
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else |
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{ |
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AddExtracted(ref node._right, key, comparison, created); |
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} |
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MakeBalanced(ref node); |
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} |
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private static bool AddNonDuplicateExtracted(ref AVLNode node, TKey key, TValue value, Comparison<TKey> comparison, AVLNode created) |
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{ |
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// NOTICE this method has no null check |
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// Ok, it has for node only |
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if (node == null) |
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{ |
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if (created == null) |
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{ |
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created = new AVLNode(key, value); |
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} |
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var found = Interlocked.CompareExchange(ref node, created, null); |
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if (found == null) |
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{ |
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return true; |
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} |
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node = found; |
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} |
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var compare = comparison(key, node._key); |
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if (compare == 0) |
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{ |
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return false; |
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} |
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try |
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{ |
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if (compare < 0) |
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{ |
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return AddNonDuplicateExtracted(ref node._left, key, value, comparison, created); |
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} |
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return AddNonDuplicateExtracted(ref node._right, key, value, comparison, created); |
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} |
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finally |
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{ |
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MakeBalanced(ref node); |
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} |
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} |
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private static void DoubleLeft(ref AVLNode node) |
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{ |
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if (node._right != null) |
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{ |
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RotateRight(ref node._right); |
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RotateLeft(ref node); |
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} |
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} |
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private static void DoubleRight(ref AVLNode node) |
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{ |
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if (node._left != null) |
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{ |
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RotateLeft(ref node._left); |
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RotateRight(ref node); |
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} |
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} |
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private static AVLNode GetOrAddExtracted(ref AVLNode node, TKey key, Func<TKey, TValue> factory, Comparison<TKey> comparison, AVLNode created, out bool isNew) |
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{ |
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// NOTICE this method has no null check |
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// Ok, it has for node only |
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if (node == null) |
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{ |
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if (created == null) |
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{ |
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created = new AVLNode(key, factory(key)); |
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factory = null; |
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} |
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var found = Interlocked.CompareExchange(ref node, created, null); |
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if (found == null) |
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{ |
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isNew = true; |
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return created; |
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} |
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node = found; |
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} |
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var compare = comparison(key, node._key); |
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if (compare == 0) |
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{ |
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isNew = false; |
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return node; |
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} |
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try |
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{ |
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if (compare < 0) |
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{ |
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return GetOrAddExtracted(ref node._left, key, factory, comparison, created, out isNew); |
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} |
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return GetOrAddExtracted(ref node._right, key, factory, comparison, created, out isNew); |
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} |
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finally |
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{ |
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MakeBalanced(ref node); |
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} |
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} |
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private static void MakeBalanced(ref AVLNode node) |
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{ |
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AVLNode current; |
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do |
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{ |
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current = node; |
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Update(node); |
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if (node._balance >= 2) |
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{ |
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if (node._right._balance <= 1) |
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{ |
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DoubleLeft(ref node); |
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} |
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else |
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{ |
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RotateLeft(ref node); |
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} |
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} |
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else if (node._balance <= -2) |
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{ |
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if (node._left._balance >= 1) |
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{ |
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DoubleRight(ref node); |
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} |
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else |
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{ |
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RotateRight(ref node); |
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} |
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} |
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} while (node != current); |
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} |
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private static bool RemoveExtracted(ref AVLNode node) |
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{ |
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if (node == null) |
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{ |
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return false; |
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} |
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if (node._right == null) |
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{ |
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node = node._left; |
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} |
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else |
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{ |
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if (node._left == null) |
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{ |
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node = node._right; |
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} |
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else |
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{ |
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var trunk = node._right; |
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var successor = trunk; |
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while (successor._left != null) |
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{ |
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trunk = successor; |
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successor = trunk._left; |
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} |
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if (ReferenceEquals(trunk, successor)) |
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{ |
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node._right = successor._right; |
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} |
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else |
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{ |
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trunk._left = successor._right; |
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} |
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var tmpLeft = node._left; |
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var tmpRight = node._right; |
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var tmpBalance = node._balance; |
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node = new AVLNode(successor._key, successor._value) |
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{ |
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_left = tmpLeft, |
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_right = tmpRight, |
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_balance = tmpBalance |
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}; |
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} |
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} |
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if (node != null) |
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{ |
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MakeBalanced(ref node); |
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} |
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return true; |
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} |
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private static AVLNode RemoveNearestLeftExtracted(ref AVLNode node, ref AVLNode result, TKey key, Comparison<TKey> comparison) |
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{ |
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if (node == null) |
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{ |
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return null; |
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} |
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var compare = comparison.Invoke(key, node._key); |
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AVLNode tmp; |
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if (compare == 0) |
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{ |
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tmp = node; |
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RemoveExtracted(ref node); |
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return tmp; |
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} |
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if (compare < 0) |
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{ |
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tmp = RemoveNearestLeftExtracted(ref node._left, ref result, key, comparison); |
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if (tmp == null) |
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{ |
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tmp = result; |
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RemoveExtracted(ref result); |
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} |
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MakeBalanced(ref node); |
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} |
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else |
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{ |
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tmp = RemoveNearestLeftExtracted(ref node._right, ref node, key, comparison); |
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if (tmp == null) |
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{ |
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tmp = node; |
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RemoveExtracted(ref node); |
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} |
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} |
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return tmp; |
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} |
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private static AVLNode RemoveNearestRightExtracted(ref AVLNode node, ref AVLNode result, TKey key, Comparison<TKey> comparison) |
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{ |
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if (node == null) |
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{ |
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return null; |
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} |
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var compare = comparison.Invoke(key, node._key); |
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AVLNode tmp; |
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if (compare == 0) |
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{ |
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tmp = node; |
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RemoveExtracted(ref node); |
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return tmp; |
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} |
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if (compare < 0) |
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{ |
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tmp = RemoveNearestRightExtracted(ref node._left, ref node, key, comparison); |
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if (tmp == null) |
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{ |
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tmp = node; |
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RemoveExtracted(ref node); |
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} |
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} |
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else |
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{ |
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tmp = RemoveNearestRightExtracted(ref node._right, ref result, key, comparison); |
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if (tmp == null) |
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{ |
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tmp = result; |
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RemoveExtracted(ref result); |
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} |
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MakeBalanced(ref node); |
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} |
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return tmp; |
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} |
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private static void RotateLeft(ref AVLNode node) |
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{ |
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var root = node; |
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var right = node._right; |
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if (right != null) |
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{ |
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var rightLeft = right._left; |
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node._right = rightLeft; |
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right._left = root; |
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node = right; |
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Update(root); |
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Update(right); |
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} |
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} |
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private static void RotateRight(ref AVLNode node) |
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{ |
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var root = node; |
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var left = node._left; |
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if (left != null) |
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{ |
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var leftRight = left._right; |
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node._left = leftRight; |
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left._right = root; |
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node = left; |
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Update(root); |
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Update(left); |
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} |
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} |
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private static void Update(AVLNode node) |
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{ |
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var right = node._right; |
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var left = node._left; |
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node._depth = Math.Max(right == null ? 0 : right._depth + 1, left == null ? 0 : left._depth + 1); |
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node._balance = (right == null ? 0 : right._depth + 1) - (left == null ? 0 : left._depth + 1); |
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} |
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} |
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} |
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} |
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#endif |