mirror of
https://github.com/Ryujinx/Ryujinx.git
synced 2024-08-19 15:18:43 +02:00
746 lines
26 KiB
C#
746 lines
26 KiB
C#
using System;
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using System.Collections.Generic;
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namespace ARMeilleure.Translation
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{
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/// <summary>
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/// An Augmented Interval Tree based off of the "TreeDictionary"'s Red-Black Tree. Allows fast overlap checking of ranges.
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/// </summary>
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/// <typeparam name="K">Key</typeparam>
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/// <typeparam name="V">Value</typeparam>
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class IntervalTree<K, V> where K : IComparable<K>
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{
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private const int ArrayGrowthSize = 32;
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private const bool Black = true;
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private const bool Red = false;
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private IntervalTreeNode<K, V> _root = null;
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private int _count = 0;
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public int Count => _count;
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#region Public Methods
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/// <summary>
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/// Gets the values of the interval whose key is <paramref name="key"/>.
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/// </summary>
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/// <param name="key">Key of the node value to get</param>
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/// <param name="value">Value with the given <paramref name="key"/></param>
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/// <returns>True if the key is on the dictionary, false otherwise</returns>
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public bool TryGet(K key, out V value)
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{
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IntervalTreeNode<K, V> node = GetNode(key);
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if (node == null)
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{
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value = default;
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return false;
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}
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value = node.Value;
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return true;
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}
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/// <summary>
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/// Returns the start addresses of the intervals whose start and end keys overlap the given range.
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/// </summary>
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/// <param name="start">Start of the range</param>
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/// <param name="end">End of the range</param>
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/// <param name="overlaps">Overlaps array to place results in</param>
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/// <param name="overlapCount">Index to start writing results into the array. Defaults to 0</param>
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/// <returns>Number of intervals found</returns>
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public int Get(K start, K end, ref K[] overlaps, int overlapCount = 0)
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{
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GetKeys(_root, start, end, ref overlaps, ref overlapCount);
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return overlapCount;
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}
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/// <summary>
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/// Adds a new interval into the tree whose start is <paramref name="start"/>, end is <paramref name="end"/> and value is <paramref name="value"/>.
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/// </summary>
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/// <param name="start">Start of the range to add</param>
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/// <param name="end">End of the range to insert</param>
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/// <param name="value">Value to add</param>
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/// <param name="updateFactoryCallback">Optional factory used to create a new value if <paramref name="start"/> is already on the tree</param>
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/// <exception cref="ArgumentNullException"><paramref name="value"/> is null</exception>
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/// <returns>True if the value was added, false if the start key was already in the dictionary</returns>
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public bool AddOrUpdate(K start, K end, V value, Func<K, V, V> updateFactoryCallback)
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{
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ArgumentNullException.ThrowIfNull(value);
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return BSTInsert(start, end, value, updateFactoryCallback, out IntervalTreeNode<K, V> node);
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}
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/// <summary>
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/// Gets an existing or adds a new interval into the tree whose start is <paramref name="start"/>, end is <paramref name="end"/> and value is <paramref name="value"/>.
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/// </summary>
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/// <param name="start">Start of the range to add</param>
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/// <param name="end">End of the range to insert</param>
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/// <param name="value">Value to add</param>
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/// <exception cref="ArgumentNullException"><paramref name="value"/> is null</exception>
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/// <returns><paramref name="value"/> if <paramref name="start"/> is not yet on the tree, or the existing value otherwise</returns>
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public V GetOrAdd(K start, K end, V value)
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{
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ArgumentNullException.ThrowIfNull(value);
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BSTInsert(start, end, value, null, out IntervalTreeNode<K, V> node);
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return node.Value;
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}
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/// <summary>
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/// Removes a value from the tree, searching for it with <paramref name="key"/>.
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/// </summary>
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/// <param name="key">Key of the node to remove</param>
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/// <returns>Number of deleted values</returns>
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public int Remove(K key)
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{
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int removed = Delete(key);
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_count -= removed;
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return removed;
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}
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/// <summary>
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/// Adds all the nodes in the dictionary into <paramref name="list"/>.
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/// </summary>
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/// <returns>A list of all values sorted by Key Order</returns>
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public List<V> AsList()
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{
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List<V> list = new List<V>();
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AddToList(_root, list);
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return list;
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}
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#endregion
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#region Private Methods (BST)
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/// <summary>
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/// Adds all values that are children of or contained within <paramref name="node"/> into <paramref name="list"/>, in Key Order.
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/// </summary>
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/// <param name="node">The node to search for values within</param>
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/// <param name="list">The list to add values to</param>
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private void AddToList(IntervalTreeNode<K, V> node, List<V> list)
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{
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if (node == null)
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{
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return;
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}
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AddToList(node.Left, list);
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list.Add(node.Value);
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AddToList(node.Right, list);
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}
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/// <summary>
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/// Retrieve the node reference whose key is <paramref name="key"/>, or null if no such node exists.
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/// </summary>
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/// <param name="key">Key of the node to get</param>
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/// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
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/// <returns>Node reference in the tree</returns>
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private IntervalTreeNode<K, V> GetNode(K key)
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{
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ArgumentNullException.ThrowIfNull(key);
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IntervalTreeNode<K, V> node = _root;
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while (node != null)
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{
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int cmp = key.CompareTo(node.Start);
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if (cmp < 0)
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{
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node = node.Left;
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}
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else if (cmp > 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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return node;
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}
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}
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return null;
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}
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/// <summary>
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/// Retrieve all keys that overlap the given start and end keys.
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/// </summary>
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/// <param name="start">Start of the range</param>
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/// <param name="end">End of the range</param>
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/// <param name="overlaps">Overlaps array to place results in</param>
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/// <param name="overlapCount">Overlaps count to update</param>
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private void GetKeys(IntervalTreeNode<K, V> node, K start, K end, ref K[] overlaps, ref int overlapCount)
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{
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if (node == null || start.CompareTo(node.Max) >= 0)
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{
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return;
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}
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GetKeys(node.Left, start, end, ref overlaps, ref overlapCount);
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bool endsOnRight = end.CompareTo(node.Start) > 0;
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if (endsOnRight)
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{
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if (start.CompareTo(node.End) < 0)
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{
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if (overlaps.Length >= overlapCount)
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{
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Array.Resize(ref overlaps, overlapCount + ArrayGrowthSize);
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}
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overlaps[overlapCount++] = node.Start;
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}
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GetKeys(node.Right, start, end, ref overlaps, ref overlapCount);
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}
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}
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/// <summary>
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/// Propagate an increase in max value starting at the given node, heading up the tree.
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/// This should only be called if the max increases - not for rebalancing or removals.
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/// </summary>
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/// <param name="node">The node to start propagating from</param>
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private void PropagateIncrease(IntervalTreeNode<K, V> node)
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{
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K max = node.Max;
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IntervalTreeNode<K, V> ptr = node;
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while ((ptr = ptr.Parent) != null)
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{
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if (max.CompareTo(ptr.Max) > 0)
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{
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ptr.Max = max;
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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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/// <summary>
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/// Propagate recalculating max value starting at the given node, heading up the tree.
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/// This fully recalculates the max value from all children when there is potential for it to decrease.
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/// </summary>
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/// <param name="node">The node to start propagating from</param>
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private void PropagateFull(IntervalTreeNode<K, V> node)
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{
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IntervalTreeNode<K, V> ptr = node;
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do
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{
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K max = ptr.End;
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if (ptr.Left != null && ptr.Left.Max.CompareTo(max) > 0)
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{
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max = ptr.Left.Max;
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}
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if (ptr.Right != null && ptr.Right.Max.CompareTo(max) > 0)
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{
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max = ptr.Right.Max;
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}
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ptr.Max = max;
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} while ((ptr = ptr.Parent) != null);
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}
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/// <summary>
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/// Insertion Mechanism for the interval tree. Similar to a BST insert, with the start of the range as the key.
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/// Iterates the tree starting from the root and inserts a new node where all children in the left subtree are less than <paramref name="start"/>, and all children in the right subtree are greater than <paramref name="start"/>.
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/// Each node can contain multiple values, and has an end address which is the maximum of all those values.
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/// Post insertion, the "max" value of the node and all parents are updated.
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/// </summary>
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/// <param name="start">Start of the range to insert</param>
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/// <param name="end">End of the range to insert</param>
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/// <param name="value">Value to insert</param>
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/// <param name="updateFactoryCallback">Optional factory used to create a new value if <paramref name="start"/> is already on the tree</param>
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/// <param name="outNode">Node that was inserted or modified</param>
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/// <returns>True if <paramref name="start"/> was not yet on the tree, false otherwise</returns>
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private bool BSTInsert(K start, K end, V value, Func<K, V, V> updateFactoryCallback, out IntervalTreeNode<K, V> outNode)
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{
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IntervalTreeNode<K, V> parent = null;
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IntervalTreeNode<K, V> node = _root;
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while (node != null)
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{
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parent = node;
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int cmp = start.CompareTo(node.Start);
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if (cmp < 0)
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{
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node = node.Left;
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}
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else if (cmp > 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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outNode = node;
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if (updateFactoryCallback != null)
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{
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// Replace
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node.Value = updateFactoryCallback(start, node.Value);
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int endCmp = end.CompareTo(node.End);
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if (endCmp > 0)
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{
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node.End = end;
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if (end.CompareTo(node.Max) > 0)
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{
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node.Max = end;
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PropagateIncrease(node);
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RestoreBalanceAfterInsertion(node);
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}
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}
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else if (endCmp < 0)
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{
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node.End = end;
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PropagateFull(node);
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}
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}
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return false;
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}
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}
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IntervalTreeNode<K, V> newNode = new IntervalTreeNode<K, V>(start, end, value, parent);
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if (newNode.Parent == null)
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{
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_root = newNode;
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}
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else if (start.CompareTo(parent.Start) < 0)
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{
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parent.Left = newNode;
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}
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else
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{
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parent.Right = newNode;
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}
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PropagateIncrease(newNode);
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_count++;
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RestoreBalanceAfterInsertion(newNode);
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outNode = newNode;
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return true;
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}
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/// <summary>
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/// Removes the value from the dictionary after searching for it with <paramref name="key"/>.
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/// </summary>
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/// <param name="key">Key to search for</param>
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/// <returns>Number of deleted values</returns>
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private int Delete(K key)
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{
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IntervalTreeNode<K, V> nodeToDelete = GetNode(key);
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if (nodeToDelete == null)
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{
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return 0;
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}
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IntervalTreeNode<K, V> replacementNode;
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if (LeftOf(nodeToDelete) == null || RightOf(nodeToDelete) == null)
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{
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replacementNode = nodeToDelete;
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}
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else
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{
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replacementNode = PredecessorOf(nodeToDelete);
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}
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IntervalTreeNode<K, V> tmp = LeftOf(replacementNode) ?? RightOf(replacementNode);
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if (tmp != null)
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{
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tmp.Parent = ParentOf(replacementNode);
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}
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if (ParentOf(replacementNode) == null)
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{
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_root = tmp;
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}
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else if (replacementNode == LeftOf(ParentOf(replacementNode)))
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{
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ParentOf(replacementNode).Left = tmp;
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}
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else
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{
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ParentOf(replacementNode).Right = tmp;
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}
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if (replacementNode != nodeToDelete)
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{
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nodeToDelete.Start = replacementNode.Start;
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nodeToDelete.Value = replacementNode.Value;
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nodeToDelete.End = replacementNode.End;
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nodeToDelete.Max = replacementNode.Max;
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}
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PropagateFull(replacementNode);
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if (tmp != null && ColorOf(replacementNode) == Black)
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{
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RestoreBalanceAfterRemoval(tmp);
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}
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return 1;
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}
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/// <summary>
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/// Returns the node with the largest key where <paramref name="node"/> is considered the root node.
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/// </summary>
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/// <param name="node">Root Node</param>
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/// <returns>Node with the maximum key in the tree of <paramref name="node"/></returns>
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private static IntervalTreeNode<K, V> Maximum(IntervalTreeNode<K, V> node)
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{
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IntervalTreeNode<K, V> tmp = node;
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while (tmp.Right != null)
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{
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tmp = tmp.Right;
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}
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return tmp;
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}
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/// <summary>
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/// Finds the node whose key is immediately less than <paramref name="node"/>.
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/// </summary>
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/// <param name="node">Node to find the predecessor of</param>
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/// <returns>Predecessor of <paramref name="node"/></returns>
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private static IntervalTreeNode<K, V> PredecessorOf(IntervalTreeNode<K, V> node)
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{
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if (node.Left != null)
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{
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return Maximum(node.Left);
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}
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IntervalTreeNode<K, V> parent = node.Parent;
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while (parent != null && node == parent.Left)
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{
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node = parent;
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parent = parent.Parent;
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}
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return parent;
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}
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#endregion
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#region Private Methods (RBL)
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private void RestoreBalanceAfterRemoval(IntervalTreeNode<K, V> balanceNode)
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{
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IntervalTreeNode<K, V> ptr = balanceNode;
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while (ptr != _root && ColorOf(ptr) == Black)
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{
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if (ptr == LeftOf(ParentOf(ptr)))
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{
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IntervalTreeNode<K, V> sibling = RightOf(ParentOf(ptr));
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if (ColorOf(sibling) == Red)
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{
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SetColor(sibling, Black);
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SetColor(ParentOf(ptr), Red);
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RotateLeft(ParentOf(ptr));
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sibling = RightOf(ParentOf(ptr));
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}
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if (ColorOf(LeftOf(sibling)) == Black && ColorOf(RightOf(sibling)) == Black)
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{
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SetColor(sibling, Red);
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ptr = ParentOf(ptr);
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}
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else
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{
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if (ColorOf(RightOf(sibling)) == Black)
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{
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SetColor(LeftOf(sibling), Black);
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SetColor(sibling, Red);
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RotateRight(sibling);
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sibling = RightOf(ParentOf(ptr));
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}
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SetColor(sibling, ColorOf(ParentOf(ptr)));
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SetColor(ParentOf(ptr), Black);
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SetColor(RightOf(sibling), Black);
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RotateLeft(ParentOf(ptr));
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ptr = _root;
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}
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}
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else
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{
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IntervalTreeNode<K, V> sibling = LeftOf(ParentOf(ptr));
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if (ColorOf(sibling) == Red)
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{
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SetColor(sibling, Black);
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SetColor(ParentOf(ptr), Red);
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RotateRight(ParentOf(ptr));
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sibling = LeftOf(ParentOf(ptr));
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}
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if (ColorOf(RightOf(sibling)) == Black && ColorOf(LeftOf(sibling)) == Black)
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{
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SetColor(sibling, Red);
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ptr = ParentOf(ptr);
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}
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else
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{
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if (ColorOf(LeftOf(sibling)) == Black)
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{
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SetColor(RightOf(sibling), Black);
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SetColor(sibling, Red);
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RotateLeft(sibling);
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sibling = LeftOf(ParentOf(ptr));
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}
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SetColor(sibling, ColorOf(ParentOf(ptr)));
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SetColor(ParentOf(ptr), Black);
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SetColor(LeftOf(sibling), Black);
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RotateRight(ParentOf(ptr));
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ptr = _root;
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}
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}
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}
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SetColor(ptr, Black);
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}
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private void RestoreBalanceAfterInsertion(IntervalTreeNode<K, V> balanceNode)
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{
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SetColor(balanceNode, Red);
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while (balanceNode != null && balanceNode != _root && ColorOf(ParentOf(balanceNode)) == Red)
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{
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if (ParentOf(balanceNode) == LeftOf(ParentOf(ParentOf(balanceNode))))
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{
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IntervalTreeNode<K, V> sibling = RightOf(ParentOf(ParentOf(balanceNode)));
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if (ColorOf(sibling) == Red)
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{
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SetColor(ParentOf(balanceNode), Black);
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SetColor(sibling, Black);
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SetColor(ParentOf(ParentOf(balanceNode)), Red);
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balanceNode = ParentOf(ParentOf(balanceNode));
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}
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else
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{
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if (balanceNode == RightOf(ParentOf(balanceNode)))
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{
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balanceNode = ParentOf(balanceNode);
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RotateLeft(balanceNode);
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}
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SetColor(ParentOf(balanceNode), Black);
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SetColor(ParentOf(ParentOf(balanceNode)), Red);
|
|
RotateRight(ParentOf(ParentOf(balanceNode)));
|
|
}
|
|
}
|
|
else
|
|
{
|
|
IntervalTreeNode<K, V> sibling = LeftOf(ParentOf(ParentOf(balanceNode)));
|
|
|
|
if (ColorOf(sibling) == Red)
|
|
{
|
|
SetColor(ParentOf(balanceNode), Black);
|
|
SetColor(sibling, Black);
|
|
SetColor(ParentOf(ParentOf(balanceNode)), Red);
|
|
balanceNode = ParentOf(ParentOf(balanceNode));
|
|
}
|
|
else
|
|
{
|
|
if (balanceNode == LeftOf(ParentOf(balanceNode)))
|
|
{
|
|
balanceNode = ParentOf(balanceNode);
|
|
RotateRight(balanceNode);
|
|
}
|
|
SetColor(ParentOf(balanceNode), Black);
|
|
SetColor(ParentOf(ParentOf(balanceNode)), Red);
|
|
RotateLeft(ParentOf(ParentOf(balanceNode)));
|
|
}
|
|
}
|
|
}
|
|
SetColor(_root, Black);
|
|
}
|
|
|
|
private void RotateLeft(IntervalTreeNode<K, V> node)
|
|
{
|
|
if (node != null)
|
|
{
|
|
IntervalTreeNode<K, V> right = RightOf(node);
|
|
node.Right = LeftOf(right);
|
|
if (node.Right != null)
|
|
{
|
|
node.Right.Parent = node;
|
|
}
|
|
IntervalTreeNode<K, V> nodeParent = ParentOf(node);
|
|
right.Parent = nodeParent;
|
|
if (nodeParent == null)
|
|
{
|
|
_root = right;
|
|
}
|
|
else if (node == LeftOf(nodeParent))
|
|
{
|
|
nodeParent.Left = right;
|
|
}
|
|
else
|
|
{
|
|
nodeParent.Right = right;
|
|
}
|
|
right.Left = node;
|
|
node.Parent = right;
|
|
|
|
PropagateFull(node);
|
|
}
|
|
}
|
|
|
|
private void RotateRight(IntervalTreeNode<K, V> node)
|
|
{
|
|
if (node != null)
|
|
{
|
|
IntervalTreeNode<K, V> left = LeftOf(node);
|
|
node.Left = RightOf(left);
|
|
if (node.Left != null)
|
|
{
|
|
node.Left.Parent = node;
|
|
}
|
|
IntervalTreeNode<K, V> nodeParent = ParentOf(node);
|
|
left.Parent = nodeParent;
|
|
if (nodeParent == null)
|
|
{
|
|
_root = left;
|
|
}
|
|
else if (node == RightOf(nodeParent))
|
|
{
|
|
nodeParent.Right = left;
|
|
}
|
|
else
|
|
{
|
|
nodeParent.Left = left;
|
|
}
|
|
left.Right = node;
|
|
node.Parent = left;
|
|
|
|
PropagateFull(node);
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Safety-Methods
|
|
|
|
// These methods save memory by allowing us to forego sentinel nil nodes, as well as serve as protection against NullReferenceExceptions.
|
|
|
|
/// <summary>
|
|
/// Returns the color of <paramref name="node"/>, or Black if it is null.
|
|
/// </summary>
|
|
/// <param name="node">Node</param>
|
|
/// <returns>The boolean color of <paramref name="node"/>, or black if null</returns>
|
|
private static bool ColorOf(IntervalTreeNode<K, V> node)
|
|
{
|
|
return node == null || node.Color;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Sets the color of <paramref name="node"/> node to <paramref name="color"/>.
|
|
/// <br></br>
|
|
/// This method does nothing if <paramref name="node"/> is null.
|
|
/// </summary>
|
|
/// <param name="node">Node to set the color of</param>
|
|
/// <param name="color">Color (Boolean)</param>
|
|
private static void SetColor(IntervalTreeNode<K, V> node, bool color)
|
|
{
|
|
if (node != null)
|
|
{
|
|
node.Color = color;
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// This method returns the left node of <paramref name="node"/>, or null if <paramref name="node"/> is null.
|
|
/// </summary>
|
|
/// <param name="node">Node to retrieve the left child from</param>
|
|
/// <returns>Left child of <paramref name="node"/></returns>
|
|
private static IntervalTreeNode<K, V> LeftOf(IntervalTreeNode<K, V> node)
|
|
{
|
|
return node?.Left;
|
|
}
|
|
|
|
/// <summary>
|
|
/// This method returns the right node of <paramref name="node"/>, or null if <paramref name="node"/> is null.
|
|
/// </summary>
|
|
/// <param name="node">Node to retrieve the right child from</param>
|
|
/// <returns>Right child of <paramref name="node"/></returns>
|
|
private static IntervalTreeNode<K, V> RightOf(IntervalTreeNode<K, V> node)
|
|
{
|
|
return node?.Right;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the parent node of <paramref name="node"/>, or null if <paramref name="node"/> is null.
|
|
/// </summary>
|
|
/// <param name="node">Node to retrieve the parent from</param>
|
|
/// <returns>Parent of <paramref name="node"/></returns>
|
|
private static IntervalTreeNode<K, V> ParentOf(IntervalTreeNode<K, V> node)
|
|
{
|
|
return node?.Parent;
|
|
}
|
|
|
|
#endregion
|
|
|
|
public bool ContainsKey(K key)
|
|
{
|
|
return GetNode(key) != null;
|
|
}
|
|
|
|
public void Clear()
|
|
{
|
|
_root = null;
|
|
_count = 0;
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Represents a node in the IntervalTree which contains start and end keys of type K, and a value of generic type V.
|
|
/// </summary>
|
|
/// <typeparam name="K">Key type of the node</typeparam>
|
|
/// <typeparam name="V">Value type of the node</typeparam>
|
|
class IntervalTreeNode<K, V>
|
|
{
|
|
public bool Color = true;
|
|
public IntervalTreeNode<K, V> Left = null;
|
|
public IntervalTreeNode<K, V> Right = null;
|
|
public IntervalTreeNode<K, V> Parent = null;
|
|
|
|
/// <summary>
|
|
/// The start of the range.
|
|
/// </summary>
|
|
public K Start;
|
|
|
|
/// <summary>
|
|
/// The end of the range.
|
|
/// </summary>
|
|
public K End;
|
|
|
|
/// <summary>
|
|
/// The maximum end value of this node and all its children.
|
|
/// </summary>
|
|
public K Max;
|
|
|
|
/// <summary>
|
|
/// Value stored on this node.
|
|
/// </summary>
|
|
public V Value;
|
|
|
|
public IntervalTreeNode(K start, K end, V value, IntervalTreeNode<K, V> parent)
|
|
{
|
|
Start = start;
|
|
End = end;
|
|
Max = end;
|
|
Value = value;
|
|
Parent = parent;
|
|
}
|
|
}
|
|
}
|