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+using System;
+using System.Collections;
+using System.Collections.Generic;
+using System.Diagnostics.CodeAnalysis;
+
+namespace Ryujinx.Common.Collections
+{
+ /// <summary>
+ /// Dictionary that provides the ability for O(logN) Lookups for keys that exist in the Dictionary, and O(logN) lookups for keys immediately greater than or less than a specified key.
+ /// </summary>
+ /// <typeparam name="K">Key</typeparam>
+ /// <typeparam name="V">Value</typeparam>
+ public class TreeDictionary<K, V> : IntrusiveRedBlackTreeImpl<Node<K, V>>, IDictionary<K, V> where K : IComparable<K>
+ {
+ #region Public Methods
+
+ /// <summary>
+ /// Returns the value of the node whose key is <paramref name="key"/>, or the default value if no such node exists.
+ /// </summary>
+ /// <param name="key">Key of the node value to get</param>
+ /// <returns>Value associated w/ <paramref name="key"/></returns>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ public V Get(K key)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ Node<K, V> node = GetNode(key);
+
+ if (node == null)
+ {
+ return default;
+ }
+
+ return node.Value;
+ }
+
+ /// <summary>
+ /// Adds a new node into the tree whose key is <paramref name="key"/> key and value is <paramref name="value"/>.
+ /// <br></br>
+ /// <b>Note:</b> Adding the same key multiple times will cause the value for that key to be overwritten.
+ /// </summary>
+ /// <param name="key">Key of the node to add</param>
+ /// <param name="value">Value of the node to add</param>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> or <paramref name="value"/> are null</exception>
+ public void Add(K key, V value)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+ ArgumentNullException.ThrowIfNull(value);
+
+ Insert(key, value);
+ }
+
+ /// <summary>
+ /// Removes the node whose key is <paramref name="key"/> from the tree.
+ /// </summary>
+ /// <param name="key">Key of the node to remove</param>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ public void Remove(K key)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ if (Delete(key) != null)
+ {
+ Count--;
+ }
+ }
+
+ /// <summary>
+ /// Returns the value whose key is equal to or immediately less than <paramref name="key"/>.
+ /// </summary>
+ /// <param name="key">Key for which to find the floor value of</param>
+ /// <returns>Key of node immediately less than <paramref name="key"/></returns>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ public K Floor(K key)
+ {
+ Node<K, V> node = FloorNode(key);
+ if (node != null)
+ {
+ return node.Key;
+ }
+ return default;
+ }
+
+ /// <summary>
+ /// Returns the node whose key is equal to or immediately greater than <paramref name="key"/>.
+ /// </summary>
+ /// <param name="key">Key for which to find the ceiling node of</param>
+ /// <returns>Key of node immediately greater than <paramref name="key"/></returns>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ public K Ceiling(K key)
+ {
+ Node<K, V> node = CeilingNode(key);
+ if (node != null)
+ {
+ return node.Key;
+ }
+ return default;
+ }
+
+ /// <summary>
+ /// Finds the value whose key is immediately greater than <paramref name="key"/>.
+ /// </summary>
+ /// <param name="key">Key to find the successor of</param>
+ /// <returns>Value</returns>
+ public K SuccessorOf(K key)
+ {
+ Node<K, V> node = GetNode(key);
+ if (node != null)
+ {
+ Node<K, V> successor = SuccessorOf(node);
+
+ return successor != null ? successor.Key : default;
+ }
+ return default;
+ }
+
+ /// <summary>
+ /// Finds the value whose key is immediately less than <paramref name="key"/>.
+ /// </summary>
+ /// <param name="key">Key to find the predecessor of</param>
+ /// <returns>Value</returns>
+ public K PredecessorOf(K key)
+ {
+ Node<K, V> node = GetNode(key);
+ if (node != null)
+ {
+ Node<K, V> predecessor = PredecessorOf(node);
+
+ return predecessor != null ? predecessor.Key : default;
+ }
+ return default;
+ }
+
+ /// <summary>
+ /// Adds all the nodes in the dictionary as key/value pairs into <paramref name="list"/>.
+ /// <br></br>
+ /// The key/value pairs will be added in Level Order.
+ /// </summary>
+ /// <param name="list">List to add the tree pairs into</param>
+ public List<KeyValuePair<K, V>> AsLevelOrderList()
+ {
+ List<KeyValuePair<K, V>> list = new List<KeyValuePair<K, V>>();
+
+ Queue<Node<K, V>> nodes = new Queue<Node<K, V>>();
+
+ if (this.Root != null)
+ {
+ nodes.Enqueue(this.Root);
+ }
+ while (nodes.TryDequeue(out Node<K, V> node))
+ {
+ list.Add(new KeyValuePair<K, V>(node.Key, node.Value));
+ if (node.Left != null)
+ {
+ nodes.Enqueue(node.Left);
+ }
+ if (node.Right != null)
+ {
+ nodes.Enqueue(node.Right);
+ }
+ }
+ return list;
+ }
+
+ /// <summary>
+ /// Adds all the nodes in the dictionary into <paramref name="list"/>.
+ /// </summary>
+ /// <returns>A list of all KeyValuePairs sorted by Key Order</returns>
+ public List<KeyValuePair<K, V>> AsList()
+ {
+ List<KeyValuePair<K, V>> list = new List<KeyValuePair<K, V>>();
+
+ AddToList(Root, list);
+
+ return list;
+ }
+
+ #endregion
+
+ #region Private Methods (BST)
+
+ /// <summary>
+ /// Adds all nodes that are children of or contained within <paramref name="node"/> into <paramref name="list"/>, in Key Order.
+ /// </summary>
+ /// <param name="node">The node to search for nodes within</param>
+ /// <param name="list">The list to add node to</param>
+ private void AddToList(Node<K, V> node, List<KeyValuePair<K, V>> list)
+ {
+ if (node == null)
+ {
+ return;
+ }
+
+ AddToList(node.Left, list);
+
+ list.Add(new KeyValuePair<K, V>(node.Key, node.Value));
+
+ AddToList(node.Right, list);
+ }
+
+ /// <summary>
+ /// Retrieve the node reference whose key is <paramref name="key"/>, or null if no such node exists.
+ /// </summary>
+ /// <param name="key">Key of the node to get</param>
+ /// <returns>Node reference in the tree</returns>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ private Node<K, V> GetNode(K key)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ Node<K, V> node = Root;
+ while (node != null)
+ {
+ int cmp = key.CompareTo(node.Key);
+ if (cmp < 0)
+ {
+ node = node.Left;
+ }
+ else if (cmp > 0)
+ {
+ node = node.Right;
+ }
+ else
+ {
+ return node;
+ }
+ }
+ return null;
+ }
+
+ /// <summary>
+ /// Inserts a new node into the tree whose key is <paramref name="key"/> and value is <paramref name="value"/>.
+ /// <br></br>
+ /// Adding the same key multiple times will overwrite the previous value.
+ /// </summary>
+ /// <param name="key">Key of the node to insert</param>
+ /// <param name="value">Value of the node to insert</param>
+ private void Insert(K key, V value)
+ {
+ Node<K, V> newNode = BSTInsert(key, value);
+ RestoreBalanceAfterInsertion(newNode);
+ }
+
+ /// <summary>
+ /// Insertion Mechanism for a Binary Search Tree (BST).
+ /// <br></br>
+ /// Iterates the tree starting from the root and inserts a new node where all children in the left subtree are less than <paramref name="key"/>, and all children in the right subtree are greater than <paramref name="key"/>.
+ /// <br></br>
+ /// <b>Note: </b> If a node whose key is <paramref name="key"/> already exists, it's value will be overwritten.
+ /// </summary>
+ /// <param name="key">Key of the node to insert</param>
+ /// <param name="value">Value of the node to insert</param>
+ /// <returns>The inserted Node</returns>
+ private Node<K, V> BSTInsert(K key, V value)
+ {
+ Node<K, V> parent = null;
+ Node<K, V> node = Root;
+
+ while (node != null)
+ {
+ parent = node;
+ int cmp = key.CompareTo(node.Key);
+ if (cmp < 0)
+ {
+ node = node.Left;
+ }
+ else if (cmp > 0)
+ {
+ node = node.Right;
+ }
+ else
+ {
+ node.Value = value;
+ return node;
+ }
+ }
+ Node<K, V> newNode = new Node<K, V>(key, value, parent);
+ if (newNode.Parent == null)
+ {
+ Root = newNode;
+ }
+ else if (key.CompareTo(parent.Key) < 0)
+ {
+ parent.Left = newNode;
+ }
+ else
+ {
+ parent.Right = newNode;
+ }
+ Count++;
+ return newNode;
+ }
+
+ /// <summary>
+ /// Removes <paramref name="key"/> from the dictionary, if it exists.
+ /// </summary>
+ /// <param name="key">Key of the node to delete</param>
+ /// <returns>The deleted Node</returns>
+ private Node<K, V> Delete(K key)
+ {
+ // O(1) Retrieval
+ Node<K, V> nodeToDelete = GetNode(key);
+
+ if (nodeToDelete == null) return null;
+
+ Node<K, V> replacementNode;
+
+ if (LeftOf(nodeToDelete) == null || RightOf(nodeToDelete) == null)
+ {
+ replacementNode = nodeToDelete;
+ }
+ else
+ {
+ replacementNode = PredecessorOf(nodeToDelete);
+ }
+
+ Node<K, V> tmp = LeftOf(replacementNode) ?? RightOf(replacementNode);
+
+ if (tmp != null)
+ {
+ tmp.Parent = ParentOf(replacementNode);
+ }
+
+ if (ParentOf(replacementNode) == null)
+ {
+ Root = tmp;
+ }
+ else if (replacementNode == LeftOf(ParentOf(replacementNode)))
+ {
+ ParentOf(replacementNode).Left = tmp;
+ }
+ else
+ {
+ ParentOf(replacementNode).Right = tmp;
+ }
+
+ if (replacementNode != nodeToDelete)
+ {
+ nodeToDelete.Key = replacementNode.Key;
+ nodeToDelete.Value = replacementNode.Value;
+ }
+
+ if (tmp != null && ColorOf(replacementNode) == Black)
+ {
+ RestoreBalanceAfterRemoval(tmp);
+ }
+
+ return replacementNode;
+ }
+
+ /// <summary>
+ /// Returns the node whose key immediately less than or equal to <paramref name="key"/>.
+ /// </summary>
+ /// <param name="key">Key for which to find the floor node of</param>
+ /// <returns>Node whose key is immediately less than or equal to <paramref name="key"/>, or null if no such node is found.</returns>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ private Node<K, V> FloorNode(K key)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ Node<K, V> tmp = Root;
+
+ while (tmp != null)
+ {
+ int cmp = key.CompareTo(tmp.Key);
+ if (cmp > 0)
+ {
+ if (tmp.Right != null)
+ {
+ tmp = tmp.Right;
+ }
+ else
+ {
+ return tmp;
+ }
+ }
+ else if (cmp < 0)
+ {
+ if (tmp.Left != null)
+ {
+ tmp = tmp.Left;
+ }
+ else
+ {
+ Node<K, V> parent = tmp.Parent;
+ Node<K, V> ptr = tmp;
+ while (parent != null && ptr == parent.Left)
+ {
+ ptr = parent;
+ parent = parent.Parent;
+ }
+ return parent;
+ }
+ }
+ else
+ {
+ return tmp;
+ }
+ }
+ return null;
+ }
+
+ /// <summary>
+ /// Returns the node whose key is immediately greater than or equal to than <paramref name="key"/>.
+ /// </summary>
+ /// <param name="key">Key for which to find the ceiling node of</param>
+ /// <returns>Node whose key is immediately greater than or equal to <paramref name="key"/>, or null if no such node is found.</returns>
+ /// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
+ private Node<K, V> CeilingNode(K key)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ Node<K, V> tmp = Root;
+
+ while (tmp != null)
+ {
+ int cmp = key.CompareTo(tmp.Key);
+ if (cmp < 0)
+ {
+ if (tmp.Left != null)
+ {
+ tmp = tmp.Left;
+ }
+ else
+ {
+ return tmp;
+ }
+ }
+ else if (cmp > 0)
+ {
+ if (tmp.Right != null)
+ {
+ tmp = tmp.Right;
+ }
+ else
+ {
+ Node<K, V> parent = tmp.Parent;
+ Node<K, V> ptr = tmp;
+ while (parent != null && ptr == parent.Right)
+ {
+ ptr = parent;
+ parent = parent.Parent;
+ }
+ return parent;
+ }
+ }
+ else
+ {
+ return tmp;
+ }
+ }
+ return null;
+ }
+
+ #endregion
+
+ #region Interface Implementations
+
+ // Method descriptions are not provided as they are already included as part of the interface.
+ public bool ContainsKey(K key)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ return GetNode(key) != null;
+ }
+
+ bool IDictionary<K, V>.Remove(K key)
+ {
+ int count = Count;
+ Remove(key);
+ return count > Count;
+ }
+
+ public bool TryGetValue(K key, [MaybeNullWhen(false)] out V value)
+ {
+ ArgumentNullException.ThrowIfNull(key);
+
+ Node<K, V> node = GetNode(key);
+ value = node != null ? node.Value : default;
+ return node != null;
+ }
+
+ public void Add(KeyValuePair<K, V> item)
+ {
+ ArgumentNullException.ThrowIfNull(item.Key);
+
+ Add(item.Key, item.Value);
+ }
+
+ public bool Contains(KeyValuePair<K, V> item)
+ {
+ if (item.Key == null)
+ {
+ return false;
+ }
+
+ Node<K, V> node = GetNode(item.Key);
+ if (node != null)
+ {
+ return node.Key.Equals(item.Key) && node.Value.Equals(item.Value);
+ }
+ return false;
+ }
+
+ public void CopyTo(KeyValuePair<K, V>[] array, int arrayIndex)
+ {
+ if (arrayIndex < 0 || array.Length - arrayIndex < this.Count)
+ {
+ throw new ArgumentOutOfRangeException(nameof(arrayIndex));
+ }
+
+ SortedList<K, V> list = GetKeyValues();
+
+ int offset = 0;
+
+ for (int i = arrayIndex; i < array.Length && offset < list.Count; i++)
+ {
+ array[i] = new KeyValuePair<K, V>(list.Keys[i], list.Values[i]);
+ offset++;
+ }
+ }
+
+ public bool Remove(KeyValuePair<K, V> item)
+ {
+ Node<K, V> node = GetNode(item.Key);
+
+ if (node == null)
+ {
+ return false;
+ }
+
+ if (node.Value.Equals(item.Value))
+ {
+ int count = Count;
+ Remove(item.Key);
+ return count > Count;
+ }
+
+ return false;
+ }
+
+ public IEnumerator<KeyValuePair<K, V>> GetEnumerator()
+ {
+ return GetKeyValues().GetEnumerator();
+ }
+
+ IEnumerator IEnumerable.GetEnumerator()
+ {
+ return GetKeyValues().GetEnumerator();
+ }
+
+ public ICollection<K> Keys => GetKeyValues().Keys;
+
+ public ICollection<V> Values => GetKeyValues().Values;
+
+ public bool IsReadOnly => false;
+
+ public V this[K key]
+ {
+ get => Get(key);
+ set => Add(key, value);
+ }
+
+ #endregion
+
+ #region Private Interface Helper Methods
+
+ /// <summary>
+ /// Returns a sorted list of all the node keys / values in the tree.
+ /// </summary>
+ /// <returns>List of node keys</returns>
+ private SortedList<K, V> GetKeyValues()
+ {
+ SortedList<K, V> set = new SortedList<K, V>();
+ Queue<Node<K, V>> queue = new Queue<Node<K, V>>();
+ if (Root != null)
+ {
+ queue.Enqueue(Root);
+ }
+
+ while (queue.TryDequeue(out Node<K, V> node))
+ {
+ set.Add(node.Key, node.Value);
+ if (null != node.Left)
+ {
+ queue.Enqueue(node.Left);
+ }
+ if (null != node.Right)
+ {
+ queue.Enqueue(node.Right);
+ }
+ }
+
+ return set;
+ }
+
+ #endregion
+ }
+
+ /// <summary>
+ /// Represents a node in the TreeDictionary which contains a key and value of generic type K and V, respectively.
+ /// </summary>
+ /// <typeparam name="K">Key of the node</typeparam>
+ /// <typeparam name="V">Value of the node</typeparam>
+ public class Node<K, V> : IntrusiveRedBlackTreeNode<Node<K, V>> where K : IComparable<K>
+ {
+ internal K Key;
+ internal V Value;
+
+ internal Node(K key, V value, Node<K, V> parent)
+ {
+ Key = key;
+ Value = value;
+ Parent = parent;
+ }
+ }
+}