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Implement and use an Interval Tree for the MultiRangeList (#2641)
* Implement and use an Interval Tree for the MultiRangeList * Feedback * Address Feedback * Missed this somehow
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3 changed files with 921 additions and 130 deletions
815
Ryujinx.Common/Collections/IntervalTree.cs
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815
Ryujinx.Common/Collections/IntervalTree.cs
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using System;
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using System.Collections;
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using System.Collections.Generic;
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using System.Diagnostics.CodeAnalysis;
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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> 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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public IntervalTree() { }
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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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if (key == null)
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{
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throw new ArgumentNullException(nameof(key));
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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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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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if (start == null)
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{
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throw new ArgumentNullException(nameof(start));
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}
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if (end == null)
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{
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throw new ArgumentNullException(nameof(end));
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}
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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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if (start == null)
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{
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throw new ArgumentNullException(nameof(start));
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}
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if (end == null)
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{
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throw new ArgumentNullException(nameof(end));
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}
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if (value == null)
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{
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throw new ArgumentNullException(nameof(value));
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}
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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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if (key == null)
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{
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throw new ArgumentNullException(nameof(key));
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}
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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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if (key == null)
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{
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throw new ArgumentNullException(nameof(key));
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}
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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;
|
||||||
|
|
||||||
|
if (LeftOf(nodeToDelete) == null || RightOf(nodeToDelete) == null)
|
||||||
|
{
|
||||||
|
replacementNode = nodeToDelete;
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
replacementNode = PredecessorOf(nodeToDelete);
|
||||||
|
}
|
||||||
|
|
||||||
|
IntervalTreeNode<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.Start = replacementNode.Start;
|
||||||
|
nodeToDelete.Values = replacementNode.Values;
|
||||||
|
nodeToDelete.End = replacementNode.End;
|
||||||
|
nodeToDelete.Max = replacementNode.Max;
|
||||||
|
}
|
||||||
|
|
||||||
|
PropagateFull(replacementNode);
|
||||||
|
|
||||||
|
if (tmp != null && ColorOf(replacementNode) == Black)
|
||||||
|
{
|
||||||
|
RestoreBalanceAfterRemoval(tmp);
|
||||||
|
}
|
||||||
|
|
||||||
|
return removed;
|
||||||
|
}
|
||||||
|
|
||||||
|
/// <summary>
|
||||||
|
/// Returns the node with the largest key where <paramref name="node"/> is considered the root node.
|
||||||
|
/// </summary>
|
||||||
|
/// <param name="node">Root Node</param>
|
||||||
|
/// <returns>Node with the maximum key in the tree of <paramref name="node"/></returns>
|
||||||
|
private static IntervalTreeNode<K, V> Maximum(IntervalTreeNode<K, V> node)
|
||||||
|
{
|
||||||
|
IntervalTreeNode<K, V> tmp = node;
|
||||||
|
while (tmp.Right != null)
|
||||||
|
{
|
||||||
|
tmp = tmp.Right;
|
||||||
|
}
|
||||||
|
|
||||||
|
return tmp;
|
||||||
|
}
|
||||||
|
|
||||||
|
/// <summary>
|
||||||
|
/// Finds the node whose key is immediately less than <paramref name="node"/>.
|
||||||
|
/// </summary>
|
||||||
|
/// <param name="node">Node to find the predecessor of</param>
|
||||||
|
/// <returns>Predecessor of <paramref name="node"/></returns>
|
||||||
|
private static IntervalTreeNode<K, V> PredecessorOf(IntervalTreeNode<K, V> node)
|
||||||
|
{
|
||||||
|
if (node.Left != null)
|
||||||
|
{
|
||||||
|
return Maximum(node.Left);
|
||||||
|
}
|
||||||
|
IntervalTreeNode<K, V> parent = node.Parent;
|
||||||
|
while (parent != null && node == parent.Left)
|
||||||
|
{
|
||||||
|
node = parent;
|
||||||
|
parent = parent.Parent;
|
||||||
|
}
|
||||||
|
return parent;
|
||||||
|
}
|
||||||
|
#endregion
|
||||||
|
|
||||||
|
#region Private Methods (RBL)
|
||||||
|
private void RestoreBalanceAfterRemoval(IntervalTreeNode<K, V> balanceNode)
|
||||||
|
{
|
||||||
|
IntervalTreeNode<K, V> ptr = balanceNode;
|
||||||
|
|
||||||
|
while (ptr != _root && ColorOf(ptr) == Black)
|
||||||
|
{
|
||||||
|
if (ptr == LeftOf(ParentOf(ptr)))
|
||||||
|
{
|
||||||
|
IntervalTreeNode<K, V> sibling = RightOf(ParentOf(ptr));
|
||||||
|
|
||||||
|
if (ColorOf(sibling) == Red)
|
||||||
|
{
|
||||||
|
SetColor(sibling, Black);
|
||||||
|
SetColor(ParentOf(ptr), Red);
|
||||||
|
RotateLeft(ParentOf(ptr));
|
||||||
|
sibling = RightOf(ParentOf(ptr));
|
||||||
|
}
|
||||||
|
if (ColorOf(LeftOf(sibling)) == Black && ColorOf(RightOf(sibling)) == Black)
|
||||||
|
{
|
||||||
|
SetColor(sibling, Red);
|
||||||
|
ptr = ParentOf(ptr);
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
if (ColorOf(RightOf(sibling)) == Black)
|
||||||
|
{
|
||||||
|
SetColor(LeftOf(sibling), Black);
|
||||||
|
SetColor(sibling, Red);
|
||||||
|
RotateRight(sibling);
|
||||||
|
sibling = RightOf(ParentOf(ptr));
|
||||||
|
}
|
||||||
|
SetColor(sibling, ColorOf(ParentOf(ptr)));
|
||||||
|
SetColor(ParentOf(ptr), Black);
|
||||||
|
SetColor(RightOf(sibling), Black);
|
||||||
|
RotateLeft(ParentOf(ptr));
|
||||||
|
ptr = _root;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
IntervalTreeNode<K, V> sibling = LeftOf(ParentOf(ptr));
|
||||||
|
|
||||||
|
if (ColorOf(sibling) == Red)
|
||||||
|
{
|
||||||
|
SetColor(sibling, Black);
|
||||||
|
SetColor(ParentOf(ptr), Red);
|
||||||
|
RotateRight(ParentOf(ptr));
|
||||||
|
sibling = LeftOf(ParentOf(ptr));
|
||||||
|
}
|
||||||
|
if (ColorOf(RightOf(sibling)) == Black && ColorOf(LeftOf(sibling)) == Black)
|
||||||
|
{
|
||||||
|
SetColor(sibling, Red);
|
||||||
|
ptr = ParentOf(ptr);
|
||||||
|
}
|
||||||
|
else
|
||||||
|
{
|
||||||
|
if (ColorOf(LeftOf(sibling)) == Black)
|
||||||
|
{
|
||||||
|
SetColor(RightOf(sibling), Black);
|
||||||
|
SetColor(sibling, Red);
|
||||||
|
RotateLeft(sibling);
|
||||||
|
sibling = LeftOf(ParentOf(ptr));
|
||||||
|
}
|
||||||
|
SetColor(sibling, ColorOf(ParentOf(ptr)));
|
||||||
|
SetColor(ParentOf(ptr), Black);
|
||||||
|
SetColor(LeftOf(sibling), Black);
|
||||||
|
RotateRight(ParentOf(ptr));
|
||||||
|
ptr = _root;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
SetColor(ptr, Black);
|
||||||
|
}
|
||||||
|
|
||||||
|
private void RestoreBalanceAfterInsertion(IntervalTreeNode<K, V> balanceNode)
|
||||||
|
{
|
||||||
|
SetColor(balanceNode, Red);
|
||||||
|
while (balanceNode != null && balanceNode != _root && ColorOf(ParentOf(balanceNode)) == Red)
|
||||||
|
{
|
||||||
|
if (ParentOf(balanceNode) == LeftOf(ParentOf(ParentOf(balanceNode))))
|
||||||
|
{
|
||||||
|
IntervalTreeNode<K, V> sibling = RightOf(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 == RightOf(ParentOf(balanceNode)))
|
||||||
|
{
|
||||||
|
balanceNode = ParentOf(balanceNode);
|
||||||
|
RotateLeft(balanceNode);
|
||||||
|
}
|
||||||
|
SetColor(ParentOf(balanceNode), Black);
|
||||||
|
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)
|
||||||
|
{
|
||||||
|
if (key == null)
|
||||||
|
{
|
||||||
|
throw new ArgumentNullException(nameof(key));
|
||||||
|
}
|
||||||
|
return GetNode(key) != null;
|
||||||
|
}
|
||||||
|
|
||||||
|
public void Clear()
|
||||||
|
{
|
||||||
|
_root = null;
|
||||||
|
_count = 0;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// <summary>
|
||||||
|
/// Represents a value and its start and end keys.
|
||||||
|
/// </summary>
|
||||||
|
/// <typeparam name="K"></typeparam>
|
||||||
|
/// <typeparam name="V"></typeparam>
|
||||||
|
public readonly struct RangeNode<K, V>
|
||||||
|
{
|
||||||
|
public readonly K Start;
|
||||||
|
public readonly K End;
|
||||||
|
public readonly V Value;
|
||||||
|
|
||||||
|
public RangeNode(K start, K end, V value)
|
||||||
|
{
|
||||||
|
Start = start;
|
||||||
|
End = end;
|
||||||
|
Value = value;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// <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>
|
||||||
|
internal class IntervalTreeNode<K, V>
|
||||||
|
{
|
||||||
|
internal bool Color = true;
|
||||||
|
internal IntervalTreeNode<K, V> Left = null;
|
||||||
|
internal IntervalTreeNode<K, V> Right = null;
|
||||||
|
internal IntervalTreeNode<K, V> Parent = null;
|
||||||
|
|
||||||
|
/// <summary>
|
||||||
|
/// The start of the range.
|
||||||
|
/// </summary>
|
||||||
|
internal K Start;
|
||||||
|
|
||||||
|
/// <summary>
|
||||||
|
/// The end of the range - maximum of all in the Values list.
|
||||||
|
/// </summary>
|
||||||
|
internal K End;
|
||||||
|
|
||||||
|
/// <summary>
|
||||||
|
/// The maximum end value of this node and all its children.
|
||||||
|
/// </summary>
|
||||||
|
internal K Max;
|
||||||
|
|
||||||
|
internal List<RangeNode<K, V>> Values;
|
||||||
|
|
||||||
|
public IntervalTreeNode(K start, K end, V value, IntervalTreeNode<K, V> parent)
|
||||||
|
{
|
||||||
|
this.Start = start;
|
||||||
|
this.End = end;
|
||||||
|
this.Max = end;
|
||||||
|
this.Values = new List<RangeNode<K, V>> { new RangeNode<K, V>(start, end, value) };
|
||||||
|
this.Parent = parent;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
|
@ -182,38 +182,40 @@ namespace Ryujinx.Common.Collections
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
/// Adds all the nodes in the dictionary into <paramref name="list"/>.
|
/// Adds all the nodes in the dictionary into <paramref name="list"/>.
|
||||||
/// <br></br>
|
|
||||||
/// The nodes will be added in Sorted by Key Order.
|
|
||||||
/// </summary>
|
/// </summary>
|
||||||
|
/// <returns>A list of all KeyValuePairs sorted by Key Order</returns>
|
||||||
public List<KeyValuePair<K, V>> AsList()
|
public List<KeyValuePair<K, V>> AsList()
|
||||||
{
|
{
|
||||||
List<KeyValuePair<K, V>> list = new List<KeyValuePair<K, V>>();
|
List<KeyValuePair<K, V>> list = new List<KeyValuePair<K, V>>();
|
||||||
|
|
||||||
Queue<Node<K, V>> nodes = new Queue<Node<K, V>>();
|
AddToList(_root, list);
|
||||||
|
|
||||||
if (this._root != null)
|
|
||||||
{
|
|
||||||
nodes.Enqueue(this._root);
|
|
||||||
}
|
|
||||||
while (nodes.Count > 0)
|
|
||||||
{
|
|
||||||
Node<K, V> node = nodes.Dequeue();
|
|
||||||
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;
|
return list;
|
||||||
}
|
}
|
||||||
|
|
||||||
#endregion
|
#endregion
|
||||||
|
|
||||||
#region Private Methods (BST)
|
#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>
|
/// <summary>
|
||||||
/// Retrieve the node reference whose key is <paramref name="key"/>, or null if no such node exists.
|
/// Retrieve the node reference whose key is <paramref name="key"/>, or null if no such node exists.
|
||||||
/// </summary>
|
/// </summary>
|
||||||
|
@ -373,13 +375,8 @@ namespace Ryujinx.Common.Collections
|
||||||
/// </summary>
|
/// </summary>
|
||||||
/// <param name="node">Root Node</param>
|
/// <param name="node">Root Node</param>
|
||||||
/// <returns>Node with the maximum key in the tree of <paramref name="node"/></returns>
|
/// <returns>Node with the maximum key in the tree of <paramref name="node"/></returns>
|
||||||
/// <exception cref="ArgumentNullException"><paramref name="node"/> is null</exception>
|
|
||||||
private static Node<K, V> Maximum(Node<K, V> node)
|
private static Node<K, V> Maximum(Node<K, V> node)
|
||||||
{
|
{
|
||||||
if (node == null)
|
|
||||||
{
|
|
||||||
throw new ArgumentNullException(nameof(node));
|
|
||||||
}
|
|
||||||
Node<K, V> tmp = node;
|
Node<K, V> tmp = node;
|
||||||
while (tmp.Right != null)
|
while (tmp.Right != null)
|
||||||
{
|
{
|
||||||
|
@ -519,7 +516,7 @@ namespace Ryujinx.Common.Collections
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
/// Finds the node with the key immediately greater than <paramref name="node"/>.Key.
|
/// Finds the node with the key is immediately greater than <paramref name="node"/>.
|
||||||
/// </summary>
|
/// </summary>
|
||||||
/// <param name="node">Node to find the successor of</param>
|
/// <param name="node">Node to find the successor of</param>
|
||||||
/// <returns>Successor of <paramref name="node"/></returns>
|
/// <returns>Successor of <paramref name="node"/></returns>
|
||||||
|
@ -539,7 +536,7 @@ namespace Ryujinx.Common.Collections
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
/// Finds the node whose key immediately less than <paramref name="node"/>.Key.
|
/// Finds the node whose key is immediately less than <paramref name="node"/>.
|
||||||
/// </summary>
|
/// </summary>
|
||||||
/// <param name="node">Node to find the predecessor of</param>
|
/// <param name="node">Node to find the predecessor of</param>
|
||||||
/// <returns>Predecessor of <paramref name="node"/></returns>
|
/// <returns>Predecessor of <paramref name="node"/></returns>
|
||||||
|
@ -557,7 +554,9 @@ namespace Ryujinx.Common.Collections
|
||||||
}
|
}
|
||||||
return parent;
|
return parent;
|
||||||
}
|
}
|
||||||
|
|
||||||
#endregion
|
#endregion
|
||||||
|
|
||||||
#region Private Methods (RBL)
|
#region Private Methods (RBL)
|
||||||
|
|
||||||
private void RestoreBalanceAfterRemoval(Node<K, V> balanceNode)
|
private void RestoreBalanceAfterRemoval(Node<K, V> balanceNode)
|
||||||
|
@ -748,7 +747,7 @@ namespace Ryujinx.Common.Collections
|
||||||
|
|
||||||
#region Safety-Methods
|
#region Safety-Methods
|
||||||
|
|
||||||
// These methods save memory by allowing us to forego sentinel nil nodes, as well as serve as protection against nullpointerexceptions.
|
// These methods save memory by allowing us to forego sentinel nil nodes, as well as serve as protection against NullReferenceExceptions.
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
/// Returns the color of <paramref name="node"/>, or Black if it is null.
|
/// Returns the color of <paramref name="node"/>, or Black if it is null.
|
||||||
|
|
|
@ -1,27 +1,21 @@
|
||||||
using System;
|
using Ryujinx.Common.Collections;
|
||||||
using System.Collections;
|
using System.Collections;
|
||||||
using System.Collections.Generic;
|
using System.Collections.Generic;
|
||||||
|
|
||||||
namespace Ryujinx.Memory.Range
|
namespace Ryujinx.Memory.Range
|
||||||
{
|
{
|
||||||
/// <summary>
|
|
||||||
/// Sorted list of ranges that supports binary search.
|
|
||||||
/// </summary>
|
|
||||||
/// <typeparam name="T">Type of the range.</typeparam>
|
|
||||||
public class MultiRangeList<T> : IEnumerable<T> where T : IMultiRangeItem
|
public class MultiRangeList<T> : IEnumerable<T> where T : IMultiRangeItem
|
||||||
{
|
{
|
||||||
private const int ArrayGrowthSize = 32;
|
private readonly IntervalTree<ulong, T> _items;
|
||||||
|
|
||||||
private readonly List<T> _items;
|
public int Count { get; private set; }
|
||||||
|
|
||||||
public int Count => _items.Count;
|
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
/// Creates a new range list.
|
/// Creates a new range list.
|
||||||
/// </summary>
|
/// </summary>
|
||||||
public MultiRangeList()
|
public MultiRangeList()
|
||||||
{
|
{
|
||||||
_items = new List<T>();
|
_items = new IntervalTree<ulong, T>();
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
|
@ -30,14 +24,15 @@ namespace Ryujinx.Memory.Range
|
||||||
/// <param name="item">The item to be added</param>
|
/// <param name="item">The item to be added</param>
|
||||||
public void Add(T item)
|
public void Add(T item)
|
||||||
{
|
{
|
||||||
int index = BinarySearch(item.BaseAddress);
|
MultiRange range = item.Range;
|
||||||
|
|
||||||
if (index < 0)
|
for (int i = 0; i < range.Count; i++)
|
||||||
{
|
{
|
||||||
index = ~index;
|
var subrange = range.GetSubRange(i);
|
||||||
|
_items.Add(subrange.Address, subrange.EndAddress, item);
|
||||||
}
|
}
|
||||||
|
|
||||||
_items.Insert(index, item);
|
Count++;
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
|
@ -47,34 +42,23 @@ namespace Ryujinx.Memory.Range
|
||||||
/// <returns>True if the item was removed, or false if it was not found</returns>
|
/// <returns>True if the item was removed, or false if it was not found</returns>
|
||||||
public bool Remove(T item)
|
public bool Remove(T item)
|
||||||
{
|
{
|
||||||
int index = BinarySearch(item.BaseAddress);
|
MultiRange range = item.Range;
|
||||||
|
|
||||||
if (index >= 0)
|
int removed = 0;
|
||||||
|
|
||||||
|
for (int i = 0; i < range.Count; i++)
|
||||||
{
|
{
|
||||||
while (index > 0 && _items[index - 1].BaseAddress == item.BaseAddress)
|
var subrange = range.GetSubRange(i);
|
||||||
{
|
removed += _items.Remove(subrange.Address, item);
|
||||||
index--;
|
|
||||||
}
|
}
|
||||||
|
|
||||||
while (index < _items.Count)
|
if (removed > 0)
|
||||||
{
|
{
|
||||||
if (_items[index].Equals(item))
|
// All deleted intervals are for the same item - the one we removed.
|
||||||
{
|
Count--;
|
||||||
_items.RemoveAt(index);
|
|
||||||
|
|
||||||
return true;
|
|
||||||
}
|
}
|
||||||
|
|
||||||
if (_items[index].BaseAddress > item.BaseAddress)
|
return removed > 0;
|
||||||
{
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
|
|
||||||
index++;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return false;
|
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
|
@ -97,22 +81,47 @@ namespace Ryujinx.Memory.Range
|
||||||
/// <returns>The number of overlapping items found</returns>
|
/// <returns>The number of overlapping items found</returns>
|
||||||
public int FindOverlaps(MultiRange range, ref T[] output)
|
public int FindOverlaps(MultiRange range, ref T[] output)
|
||||||
{
|
{
|
||||||
int outputIndex = 0;
|
int overlapCount = 0;
|
||||||
|
|
||||||
foreach (T item in _items)
|
for (int i = 0; i < range.Count; i++)
|
||||||
{
|
{
|
||||||
if (item.Range.OverlapsWith(range))
|
var subrange = range.GetSubRange(i);
|
||||||
{
|
overlapCount = _items.Get(subrange.Address, subrange.EndAddress, ref output, overlapCount);
|
||||||
if (outputIndex == output.Length)
|
|
||||||
{
|
|
||||||
Array.Resize(ref output, outputIndex + ArrayGrowthSize);
|
|
||||||
}
|
}
|
||||||
|
|
||||||
output[outputIndex++] = item;
|
// Remove any duplicates, caused by items having multiple sub range nodes in the tree.
|
||||||
|
if (overlapCount > 1)
|
||||||
|
{
|
||||||
|
int insertPtr = 0;
|
||||||
|
for (int i = 0; i < overlapCount; i++)
|
||||||
|
{
|
||||||
|
T item = output[i];
|
||||||
|
bool duplicate = false;
|
||||||
|
|
||||||
|
for (int j = insertPtr - 1; j >= 0; j--)
|
||||||
|
{
|
||||||
|
if (item.Equals(output[j]))
|
||||||
|
{
|
||||||
|
duplicate = true;
|
||||||
|
break;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
return outputIndex;
|
if (!duplicate)
|
||||||
|
{
|
||||||
|
if (insertPtr != i)
|
||||||
|
{
|
||||||
|
output[insertPtr] = item;
|
||||||
|
}
|
||||||
|
|
||||||
|
insertPtr++;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
overlapCount = insertPtr;
|
||||||
|
}
|
||||||
|
|
||||||
|
return overlapCount;
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
/// <summary>
|
||||||
|
@ -123,82 +132,50 @@ namespace Ryujinx.Memory.Range
|
||||||
/// <returns>The number of matches found</returns>
|
/// <returns>The number of matches found</returns>
|
||||||
public int FindOverlaps(ulong baseAddress, ref T[] output)
|
public int FindOverlaps(ulong baseAddress, ref T[] output)
|
||||||
{
|
{
|
||||||
int index = BinarySearch(baseAddress);
|
int count = _items.Get(baseAddress, ref output);
|
||||||
|
|
||||||
int outputIndex = 0;
|
// Only output items with matching base address
|
||||||
|
int insertPtr = 0;
|
||||||
if (index >= 0)
|
for (int i = 0; i < count; i++)
|
||||||
{
|
{
|
||||||
while (index > 0 && _items[index - 1].BaseAddress == baseAddress)
|
if (output[i].BaseAddress == baseAddress)
|
||||||
{
|
{
|
||||||
index--;
|
if (i != insertPtr)
|
||||||
|
{
|
||||||
|
output[insertPtr] = output[i];
|
||||||
}
|
}
|
||||||
|
|
||||||
while (index < _items.Count)
|
insertPtr++;
|
||||||
{
|
|
||||||
T overlap = _items[index++];
|
|
||||||
|
|
||||||
if (overlap.BaseAddress != baseAddress)
|
|
||||||
{
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (outputIndex == output.Length)
|
|
||||||
{
|
|
||||||
Array.Resize(ref output, outputIndex + ArrayGrowthSize);
|
|
||||||
}
|
|
||||||
|
|
||||||
output[outputIndex++] = overlap;
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
return outputIndex;
|
return insertPtr;
|
||||||
}
|
}
|
||||||
|
|
||||||
/// <summary>
|
private List<T> GetList()
|
||||||
/// Performs binary search on the internal list of items.
|
|
||||||
/// </summary>
|
|
||||||
/// <param name="address">Address to find</param>
|
|
||||||
/// <returns>List index of the item, or complement index of nearest item with lower value on the list</returns>
|
|
||||||
private int BinarySearch(ulong address)
|
|
||||||
{
|
{
|
||||||
int left = 0;
|
var items = _items.AsList();
|
||||||
int right = _items.Count - 1;
|
var result = new List<T>();
|
||||||
|
|
||||||
while (left <= right)
|
foreach (RangeNode<ulong, T> item in items)
|
||||||
{
|
{
|
||||||
int range = right - left;
|
if (item.Start == item.Value.BaseAddress)
|
||||||
|
|
||||||
int middle = left + (range >> 1);
|
|
||||||
|
|
||||||
T item = _items[middle];
|
|
||||||
|
|
||||||
if (item.BaseAddress == address)
|
|
||||||
{
|
{
|
||||||
return middle;
|
result.Add(item.Value);
|
||||||
}
|
|
||||||
|
|
||||||
if (address < item.BaseAddress)
|
|
||||||
{
|
|
||||||
right = middle - 1;
|
|
||||||
}
|
|
||||||
else
|
|
||||||
{
|
|
||||||
left = middle + 1;
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
return ~left;
|
return result;
|
||||||
}
|
}
|
||||||
|
|
||||||
public IEnumerator<T> GetEnumerator()
|
public IEnumerator<T> GetEnumerator()
|
||||||
{
|
{
|
||||||
return _items.GetEnumerator();
|
return GetList().GetEnumerator();
|
||||||
}
|
}
|
||||||
|
|
||||||
IEnumerator IEnumerable.GetEnumerator()
|
IEnumerator IEnumerable.GetEnumerator()
|
||||||
{
|
{
|
||||||
return _items.GetEnumerator();
|
return GetList().GetEnumerator();
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
Loading…
Reference in a new issue