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diff --git a/Software/Visual_Studio/SideChains/Priority Queue/FastPriorityQueue.cs b/Software/Visual_Studio/SideChains/Priority Queue/FastPriorityQueue.cs
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+using System;
+using System.Collections;
+using System.Collections.Generic;
+using System.Runtime.CompilerServices;
+
+namespace Priority_Queue
+{
+ /// <summary>
+ /// An implementation of a min-Priority Queue using a heap. Has O(1) .Contains()!
+ /// See https://github.com/BlueRaja/High-Speed-Priority-Queue-for-C-Sharp/wiki/Getting-Started for more information
+ /// </summary>
+ /// <typeparam name="T">The values in the queue. Must extend the FastPriorityQueueNode class</typeparam>
+ public sealed class FastPriorityQueue<T> : IFixedSizePriorityQueue<T, float>
+ where T : FastPriorityQueueNode
+ {
+ private int _numNodes;
+ private T[] _nodes;
+
+ /// <summary>
+ /// Instantiate a new Priority Queue
+ /// </summary>
+ /// <param name="maxNodes">The max nodes ever allowed to be enqueued (going over this will cause undefined behavior)</param>
+ public FastPriorityQueue(int maxNodes)
+ {
+#if DEBUG
+ if (maxNodes <= 0)
+ {
+ throw new InvalidOperationException("New queue size cannot be smaller than 1");
+ }
+#endif
+
+ _numNodes = 0;
+ _nodes = new T[maxNodes + 1];
+ }
+
+ /// <summary>
+ /// Returns the number of nodes in the queue.
+ /// O(1)
+ /// </summary>
+ public int Count
+ {
+ get
+ {
+ return _numNodes;
+ }
+ }
+
+ /// <summary>
+ /// Returns the maximum number of items that can be enqueued at once in this queue. Once you hit this number (ie. once Count == MaxSize),
+ /// attempting to enqueue another item will cause undefined behavior. O(1)
+ /// </summary>
+ public int MaxSize
+ {
+ get
+ {
+ return _nodes.Length - 1;
+ }
+ }
+
+ /// <summary>
+ /// Removes every node from the queue.
+ /// O(n) (So, don't do this often!)
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public void Clear()
+ {
+ Array.Clear(_nodes, 1, _numNodes);
+ _numNodes = 0;
+ }
+
+ /// <summary>
+ /// Returns (in O(1)!) whether the given node is in the queue.
+ /// If node is or has been previously added to another queue, the result is undefined unless oldQueue.ResetNode(node) has been called
+ /// O(1)
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public bool Contains(T node)
+ {
+#if DEBUG
+ if(node == null)
+ {
+ throw new ArgumentNullException("node");
+ }
+ if (node.Queue != null && !Equals(node.Queue))
+ {
+ throw new InvalidOperationException("node.Contains was called on a node from another queue. Please call originalQueue.ResetNode() first");
+ }
+ if(node.QueueIndex < 0 || node.QueueIndex >= _nodes.Length)
+ {
+ throw new InvalidOperationException("node.QueueIndex has been corrupted. Did you change it manually? Or add this node to another queue?");
+ }
+#endif
+
+ return (_nodes[node.QueueIndex] == node);
+ }
+
+ /// <summary>
+ /// Enqueue a node to the priority queue. Lower values are placed in front. Ties are broken arbitrarily.
+ /// If the queue is full, the result is undefined.
+ /// If the node is already enqueued, the result is undefined.
+ /// If node is or has been previously added to another queue, the result is undefined unless oldQueue.ResetNode(node) has been called
+ /// O(log n)
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public void Enqueue(T node, float priority)
+ {
+#if DEBUG
+ if(node == null)
+ {
+ throw new ArgumentNullException("node");
+ }
+ if(_numNodes >= _nodes.Length - 1)
+ {
+ throw new InvalidOperationException("Queue is full - node cannot be added: " + node);
+ }
+ if (node.Queue != null && !Equals(node.Queue))
+ {
+ throw new InvalidOperationException("node.Enqueue was called on a node from another queue. Please call originalQueue.ResetNode() first");
+ }
+ if (Contains(node))
+ {
+ throw new InvalidOperationException("Node is already enqueued: " + node);
+ }
+ node.Queue = this;
+#endif
+
+ node.Priority = priority;
+ _numNodes++;
+ _nodes[_numNodes] = node;
+ node.QueueIndex = _numNodes;
+ CascadeUp(node);
+ }
+
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ private void CascadeUp(T node)
+ {
+ //aka Heapify-up
+ int parent;
+ if(node.QueueIndex > 1)
+ {
+ parent = node.QueueIndex >> 1;
+ T parentNode = _nodes[parent];
+ if(HasHigherOrEqualPriority(parentNode, node))
+ return;
+
+ //Node has lower priority value, so move parent down the heap to make room
+ _nodes[node.QueueIndex] = parentNode;
+ parentNode.QueueIndex = node.QueueIndex;
+
+ node.QueueIndex = parent;
+ }
+ else
+ {
+ return;
+ }
+ while(parent > 1)
+ {
+ parent >>= 1;
+ T parentNode = _nodes[parent];
+ if(HasHigherOrEqualPriority(parentNode, node))
+ break;
+
+ //Node has lower priority value, so move parent down the heap to make room
+ _nodes[node.QueueIndex] = parentNode;
+ parentNode.QueueIndex = node.QueueIndex;
+
+ node.QueueIndex = parent;
+ }
+ _nodes[node.QueueIndex] = node;
+ }
+
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ private void CascadeDown(T node)
+ {
+ //aka Heapify-down
+ int finalQueueIndex = node.QueueIndex;
+ int childLeftIndex = 2 * finalQueueIndex;
+
+ // If leaf node, we're done
+ if(childLeftIndex > _numNodes)
+ {
+ return;
+ }
+
+ // Check if the left-child is higher-priority than the current node
+ int childRightIndex = childLeftIndex + 1;
+ T childLeft = _nodes[childLeftIndex];
+ if(HasHigherPriority(childLeft, node))
+ {
+ // Check if there is a right child. If not, swap and finish.
+ if(childRightIndex > _numNodes)
+ {
+ node.QueueIndex = childLeftIndex;
+ childLeft.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childLeft;
+ _nodes[childLeftIndex] = node;
+ return;
+ }
+ // Check if the left-child is higher-priority than the right-child
+ T childRight = _nodes[childRightIndex];
+ if(HasHigherPriority(childLeft, childRight))
+ {
+ // left is highest, move it up and continue
+ childLeft.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childLeft;
+ finalQueueIndex = childLeftIndex;
+ }
+ else
+ {
+ // right is even higher, move it up and continue
+ childRight.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childRight;
+ finalQueueIndex = childRightIndex;
+ }
+ }
+ // Not swapping with left-child, does right-child exist?
+ else if(childRightIndex > _numNodes)
+ {
+ return;
+ }
+ else
+ {
+ // Check if the right-child is higher-priority than the current node
+ T childRight = _nodes[childRightIndex];
+ if(HasHigherPriority(childRight, node))
+ {
+ childRight.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childRight;
+ finalQueueIndex = childRightIndex;
+ }
+ // Neither child is higher-priority than current, so finish and stop.
+ else
+ {
+ return;
+ }
+ }
+
+ while(true)
+ {
+ childLeftIndex = 2 * finalQueueIndex;
+
+ // If leaf node, we're done
+ if(childLeftIndex > _numNodes)
+ {
+ node.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = node;
+ break;
+ }
+
+ // Check if the left-child is higher-priority than the current node
+ childRightIndex = childLeftIndex + 1;
+ childLeft = _nodes[childLeftIndex];
+ if(HasHigherPriority(childLeft, node))
+ {
+ // Check if there is a right child. If not, swap and finish.
+ if(childRightIndex > _numNodes)
+ {
+ node.QueueIndex = childLeftIndex;
+ childLeft.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childLeft;
+ _nodes[childLeftIndex] = node;
+ break;
+ }
+ // Check if the left-child is higher-priority than the right-child
+ T childRight = _nodes[childRightIndex];
+ if(HasHigherPriority(childLeft, childRight))
+ {
+ // left is highest, move it up and continue
+ childLeft.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childLeft;
+ finalQueueIndex = childLeftIndex;
+ }
+ else
+ {
+ // right is even higher, move it up and continue
+ childRight.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childRight;
+ finalQueueIndex = childRightIndex;
+ }
+ }
+ // Not swapping with left-child, does right-child exist?
+ else if(childRightIndex > _numNodes)
+ {
+ node.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = node;
+ break;
+ }
+ else
+ {
+ // Check if the right-child is higher-priority than the current node
+ T childRight = _nodes[childRightIndex];
+ if(HasHigherPriority(childRight, node))
+ {
+ childRight.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = childRight;
+ finalQueueIndex = childRightIndex;
+ }
+ // Neither child is higher-priority than current, so finish and stop.
+ else
+ {
+ node.QueueIndex = finalQueueIndex;
+ _nodes[finalQueueIndex] = node;
+ break;
+ }
+ }
+ }
+ }
+
+ /// <summary>
+ /// Returns true if 'higher' has higher priority than 'lower', false otherwise.
+ /// Note that calling HasHigherPriority(node, node) (ie. both arguments the same node) will return false
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ private bool HasHigherPriority(T higher, T lower)
+ {
+ return (higher.Priority < lower.Priority);
+ }
+
+ /// <summary>
+ /// Returns true if 'higher' has higher priority than 'lower', false otherwise.
+ /// Note that calling HasHigherOrEqualPriority(node, node) (ie. both arguments the same node) will return true
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ private bool HasHigherOrEqualPriority(T higher, T lower)
+ {
+ return (higher.Priority <= lower.Priority);
+ }
+
+ /// <summary>
+ /// Removes the head of the queue and returns it.
+ /// If queue is empty, result is undefined
+ /// O(log n)
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public T Dequeue()
+ {
+#if DEBUG
+ if(_numNodes <= 0)
+ {
+ throw new InvalidOperationException("Cannot call Dequeue() on an empty queue");
+ }
+
+ if(!IsValidQueue())
+ {
+ throw new InvalidOperationException("Queue has been corrupted (Did you update a node priority manually instead of calling UpdatePriority()?" +
+ "Or add the same node to two different queues?)");
+ }
+#endif
+
+ T returnMe = _nodes[1];
+ //If the node is already the last node, we can remove it immediately
+ if(_numNodes == 1)
+ {
+ _nodes[1] = null;
+ _numNodes = 0;
+ return returnMe;
+ }
+
+ //Swap the node with the last node
+ T formerLastNode = _nodes[_numNodes];
+ _nodes[1] = formerLastNode;
+ formerLastNode.QueueIndex = 1;
+ _nodes[_numNodes] = null;
+ _numNodes--;
+
+ //Now bubble formerLastNode (which is no longer the last node) down
+ CascadeDown(formerLastNode);
+ return returnMe;
+ }
+
+ /// <summary>
+ /// Resize the queue so it can accept more nodes. All currently enqueued nodes are remain.
+ /// Attempting to decrease the queue size to a size too small to hold the existing nodes results in undefined behavior
+ /// O(n)
+ /// </summary>
+ public void Resize(int maxNodes)
+ {
+#if DEBUG
+ if (maxNodes <= 0)
+ {
+ throw new InvalidOperationException("Queue size cannot be smaller than 1");
+ }
+
+ if (maxNodes < _numNodes)
+ {
+ throw new InvalidOperationException("Called Resize(" + maxNodes + "), but current queue contains " + _numNodes + " nodes");
+ }
+#endif
+
+ T[] newArray = new T[maxNodes + 1];
+ int highestIndexToCopy = Math.Min(maxNodes, _numNodes);
+ Array.Copy(_nodes, newArray, highestIndexToCopy + 1);
+ _nodes = newArray;
+ }
+
+ /// <summary>
+ /// Returns the head of the queue, without removing it (use Dequeue() for that).
+ /// If the queue is empty, behavior is undefined.
+ /// O(1)
+ /// </summary>
+ public T First
+ {
+ get
+ {
+#if DEBUG
+ if(_numNodes <= 0)
+ {
+ throw new InvalidOperationException("Cannot call .First on an empty queue");
+ }
+#endif
+
+ return _nodes[1];
+ }
+ }
+
+ /// <summary>
+ /// This method must be called on a node every time its priority changes while it is in the queue.
+ /// <b>Forgetting to call this method will result in a corrupted queue!</b>
+ /// Calling this method on a node not in the queue results in undefined behavior
+ /// O(log n)
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public void UpdatePriority(T node, float priority)
+ {
+#if DEBUG
+ if(node == null)
+ {
+ throw new ArgumentNullException("node");
+ }
+ if (node.Queue != null && !Equals(node.Queue))
+ {
+ throw new InvalidOperationException("node.UpdatePriority was called on a node from another queue");
+ }
+ if (!Contains(node))
+ {
+ throw new InvalidOperationException("Cannot call UpdatePriority() on a node which is not enqueued: " + node);
+ }
+#endif
+
+ node.Priority = priority;
+ OnNodeUpdated(node);
+ }
+
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ private void OnNodeUpdated(T node)
+ {
+ //Bubble the updated node up or down as appropriate
+ int parentIndex = node.QueueIndex >> 1;
+
+ if(parentIndex > 0 && HasHigherPriority(node, _nodes[parentIndex]))
+ {
+ CascadeUp(node);
+ }
+ else
+ {
+ //Note that CascadeDown will be called if parentNode == node (that is, node is the root)
+ CascadeDown(node);
+ }
+ }
+
+ /// <summary>
+ /// Removes a node from the queue. The node does not need to be the head of the queue.
+ /// If the node is not in the queue, the result is undefined. If unsure, check Contains() first
+ /// O(log n)
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public void Remove(T node)
+ {
+#if DEBUG
+ if(node == null)
+ {
+ throw new ArgumentNullException("node");
+ }
+ if (node.Queue != null && !Equals(node.Queue))
+ {
+ throw new InvalidOperationException("node.Remove was called on a node from another queue");
+ }
+ if (!Contains(node))
+ {
+ throw new InvalidOperationException("Cannot call Remove() on a node which is not enqueued: " + node);
+ }
+#endif
+
+ //If the node is already the last node, we can remove it immediately
+ if(node.QueueIndex == _numNodes)
+ {
+ _nodes[_numNodes] = null;
+ _numNodes--;
+ return;
+ }
+
+ //Swap the node with the last node
+ T formerLastNode = _nodes[_numNodes];
+ _nodes[node.QueueIndex] = formerLastNode;
+ formerLastNode.QueueIndex = node.QueueIndex;
+ _nodes[_numNodes] = null;
+ _numNodes--;
+
+ //Now bubble formerLastNode (which is no longer the last node) up or down as appropriate
+ OnNodeUpdated(formerLastNode);
+ }
+
+ /// <summary>
+ /// By default, nodes that have been previously added to one queue cannot be added to another queue.
+ /// If you need to do this, please call originalQueue.ResetNode(node) before attempting to add it in the new queue
+ /// If the node is currently in the queue or belongs to another queue, the result is undefined
+ /// </summary>
+#if NET_VERSION_4_5
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+#endif
+ public void ResetNode(T node)
+ {
+#if DEBUG
+ if (node == null)
+ {
+ throw new ArgumentNullException("node");
+ }
+ if (node.Queue != null && !Equals(node.Queue))
+ {
+ throw new InvalidOperationException("node.ResetNode was called on a node from another queue");
+ }
+ if (Contains(node))
+ {
+ throw new InvalidOperationException("node.ResetNode was called on a node that is still in the queue");
+ }
+
+ node.Queue = null;
+#endif
+
+ node.QueueIndex = 0;
+ }
+
+ public IEnumerator<T> GetEnumerator()
+ {
+#if NET_VERSION_4_5 // ArraySegment does not implement IEnumerable before 4.5
+ IEnumerable<T> e = new ArraySegment<T>(_nodes, 1, _numNodes);
+ return e.GetEnumerator();
+#else
+ for(int i = 1; i <= _numNodes; i++)
+ yield return _nodes[i];
+#endif
+ }
+
+ IEnumerator IEnumerable.GetEnumerator()
+ {
+ return GetEnumerator();
+ }
+
+ /// <summary>
+ /// <b>Should not be called in production code.</b>
+ /// Checks to make sure the queue is still in a valid state. Used for testing/debugging the queue.
+ /// </summary>
+ public bool IsValidQueue()
+ {
+ for(int i = 1; i < _nodes.Length; i++)
+ {
+ if(_nodes[i] != null)
+ {
+ int childLeftIndex = 2 * i;
+ if(childLeftIndex < _nodes.Length && _nodes[childLeftIndex] != null && HasHigherPriority(_nodes[childLeftIndex], _nodes[i]))
+ return false;
+
+ int childRightIndex = childLeftIndex + 1;
+ if(childRightIndex < _nodes.Length && _nodes[childRightIndex] != null && HasHigherPriority(_nodes[childRightIndex], _nodes[i]))
+ return false;
+ }
+ }
+ return true;
+ }
+ }
+} \ No newline at end of file