mirror of
https://github.com/Ryujinx/Ryujinx.git
synced 2024-08-19 15:18:43 +02:00
500 lines
17 KiB
C#
500 lines
17 KiB
C#
using System;
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using System.Collections.Generic;
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using System.Linq;
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namespace Ryujinx.Common.Collections
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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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public class IntervalTree<K, V> : IntrusiveRedBlackTreeImpl<IntervalTreeNode<K, V>> where K : IComparable<K>
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{
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private const int ArrayGrowthSize = 32;
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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="overlaps">Overlaps array to place results in</param>
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/// <returns>Number of values found</returns>
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/// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
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public int Get(K key, ref V[] overlaps)
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{
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ArgumentNullException.ThrowIfNull(key);
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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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return 0;
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}
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if (node.Values.Count > overlaps.Length)
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{
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Array.Resize(ref overlaps, node.Values.Count);
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}
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int overlapsCount = 0;
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foreach (RangeNode<K, V> value in node.Values)
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{
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overlaps[overlapsCount++] = value.Value;
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}
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return overlapsCount;
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}
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/// <summary>
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/// Returns the values 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 values found</returns>
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/// <exception cref="ArgumentNullException"><paramref name="start"/> or <paramref name="end"/> is null</exception>
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public int Get(K start, K end, ref V[] overlaps, int overlapCount = 0)
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{
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ArgumentNullException.ThrowIfNull(start);
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ArgumentNullException.ThrowIfNull(end);
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GetValues(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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/// <exception cref="ArgumentNullException"><paramref name="start"/>, <paramref name="end"/> or <paramref name="value"/> are null</exception>
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public void Add(K start, K end, V value)
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{
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ArgumentNullException.ThrowIfNull(start);
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ArgumentNullException.ThrowIfNull(end);
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ArgumentNullException.ThrowIfNull(value);
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Insert(start, end, value);
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}
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/// <summary>
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/// Removes the given <paramref name="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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/// <param name="value">Value to remove</param>
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/// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
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/// <returns>Number of deleted values</returns>
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public int Remove(K key, V value)
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{
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ArgumentNullException.ThrowIfNull(key);
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int removed = Delete(key, value);
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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 RangeNodes sorted by Key Order</returns>
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public List<RangeNode<K, V>> AsList()
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{
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List<RangeNode<K, V>> list = new List<RangeNode<K, 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 RangeNodes 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 RangeNodes within</param>
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/// <param name="list">The list to add RangeNodes to</param>
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private void AddToList(IntervalTreeNode<K, V> node, List<RangeNode<K, 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.AddRange(node.Values);
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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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/// <returns>Node reference in the tree</returns>
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/// <exception cref="ArgumentNullException"><paramref name="key"/> is null</exception>
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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 values 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 GetValues(IntervalTreeNode<K, V> node, K start, K end, ref V[] 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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GetValues(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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// Contains this node. Add overlaps to list.
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foreach (RangeNode<K,V> overlap in node.Values)
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{
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if (start.CompareTo(overlap.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++] = overlap.Value;
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}
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}
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}
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GetValues(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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/// Inserts a new node into the tree with a given <paramref name="start"/>, <paramref name="end"/> and <paramref name="value"/>.
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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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private void Insert(K start, K end, V value)
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{
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IntervalTreeNode<K, V> newNode = BSTInsert(start, end, value);
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RestoreBalanceAfterInsertion(newNode);
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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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/// <returns>The inserted Node</returns>
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private IntervalTreeNode<K, V> BSTInsert(K start, K end, V value)
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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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node.Values.Add(new RangeNode<K, V>(start, end, value));
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if (end.CompareTo(node.End) > 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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}
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}
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Count++;
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return node;
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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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return newNode;
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}
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/// <summary>
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/// Removes instances of <paramref name="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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/// <param name="value">Value to delete</param>
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/// <returns>Number of deleted values</returns>
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private int Delete(K key, V value)
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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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int removed = nodeToDelete.Values.RemoveAll(node => node.Value.Equals(value));
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if (nodeToDelete.Values.Count > 0)
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{
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if (removed > 0)
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{
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nodeToDelete.End = nodeToDelete.Values.Max(node => node.End);
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// Recalculate max from children and new end.
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PropagateFull(nodeToDelete);
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}
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return removed;
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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.Values = replacementNode.Values;
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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 removed;
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}
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#endregion
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protected override void RotateLeft(IntervalTreeNode<K, V> node)
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{
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if (node != null)
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{
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base.RotateLeft(node);
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PropagateFull(node);
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}
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}
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protected override void RotateRight(IntervalTreeNode<K, V> node)
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{
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if (node != null)
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{
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base.RotateRight(node);
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PropagateFull(node);
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}
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}
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public bool ContainsKey(K key)
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{
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ArgumentNullException.ThrowIfNull(key);
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return GetNode(key) != null;
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}
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}
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/// <summary>
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/// Represents a value and its start and end keys.
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/// </summary>
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/// <typeparam name="K"></typeparam>
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/// <typeparam name="V"></typeparam>
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public readonly struct RangeNode<K, V>
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{
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public readonly K Start;
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public readonly K End;
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public readonly V Value;
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public RangeNode(K start, K end, V value)
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{
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Start = start;
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End = end;
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Value = value;
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}
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}
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/// <summary>
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/// Represents a node in the IntervalTree which contains start and end keys of type K, and a value of generic type V.
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/// </summary>
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/// <typeparam name="K">Key type of the node</typeparam>
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/// <typeparam name="V">Value type of the node</typeparam>
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public class IntervalTreeNode<K, V> : IntrusiveRedBlackTreeNode<IntervalTreeNode<K, V>>
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{
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/// <summary>
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/// The start of the range.
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/// </summary>
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internal K Start;
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/// <summary>
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/// The end of the range - maximum of all in the Values list.
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/// </summary>
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internal K End;
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/// <summary>
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/// The maximum end value of this node and all its children.
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/// </summary>
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internal K Max;
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/// <summary>
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/// Values contained on the node that shares a common Start value.
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/// </summary>
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internal List<RangeNode<K, V>> Values;
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internal IntervalTreeNode(K start, K end, V value, IntervalTreeNode<K, V> parent)
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{
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Start = start;
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End = end;
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Max = end;
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Values = new List<RangeNode<K, V>> { new RangeNode<K, V>(start, end, value) };
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Parent = parent;
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}
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}
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}
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