public List <HeapNode> GetNeighbours(HeapNode node)
{
List <HeapNode> neighbours = new List <HeapNode>();
for (int x = -1; x <= 1; x++)
{
for (int y = -1; y <= 1; y++)
{
int checkX = node.gridIndex.x + x;
int checkY = node.gridIndex.y + y;
if (!(x == 0 && y == 0)
&& // grid범위 안
checkX >= 0 && checkX < gridSizeX && checkY >= 0 && checkY < gridSizeY
&& // 확인 지점 walkable 여부
map[checkX, node.gridIndex.y].walkable &&
map[node.gridIndex.x, checkY].walkable &&
map[checkX, checkY].walkable
)
{
neighbours.Add(map[checkX, checkY]);
}
}
}
return(neighbours);
}
public void Heapify()
{
for (int i = elements.Count - 1; i > 0; i--)
{
// calculate the index of parent node
int parentPosition;
// child nodes of n -> 2n+1, 2n+2
if (i % 2 == 0)
{
parentPosition = (i - 2) / 2;
}
else
{
parentPosition = (i - 1) / 2;
}
parentPosition = parentPosition >= 0 ? parentPosition : 0;
// compare child nodes with parent. replace, if smaller
if (elements[i].Data < elements[parentPosition].Data)
{
HeapNode tmp = elements[parentPosition];
elements[parentPosition] = elements[i];
elements[i] = tmp;
}
}
}
private void Swap(int i, int j)
{
HeapNode <K, V, P> temp = heap[i];
heap[i] = heap[j];
heap[j] = temp;
}
internal void Add(HeapNode node)
{
if (head == null)
{
head = node;
}
//Replace the position of the nodes because the node to add has a lower
//cost.
else if (node.ExpectedCost < head.ExpectedCost)
{
node.Next = head;
head = node;
}
//Add the node & realign the heap.
else
{
HeapNode current = head;
while (current.Next != null && current.Next.ExpectedCost <= node.ExpectedCost)
{
current = current.Next;
}
node.Next = current.Next;
current.Next = node;
}
}
private void Exchange(int i, int j)
{
HeapNode <T> tmp = heap[i];
heap[i] = heap[j];
heap[j] = tmp;
}
public void addPacket(Packet pkt)
{
flitCount += pkt.nrOfFlits;
HeapNode h = new HeapNode(pkt);
heaps[pkt.getQueue()].Enqueue(h);
}
public void Enqueue(D data, P priority)
{
if (data == null)
{
return;
}
if (this._cache.TryGetValue(data, out _))
{
// Adding existing node
throw new InvalidOperationException("Node is already in queue");
}
if (this.Count >= this._heap.Length - 1)
{
this.ResizeHeap();
}
this.Count++;
var node = new HeapNode(this._nodeIDCounter++)
{
Data = data, Priority = priority, PositionInQueue = Count
};
this._cache[data] = node;
this._heap[this.Count] = node;
this.HeapifyUp(node);
}
public void Enqueue(T obj)
{
HeapNode <T> node = new HeapNode <T>(obj);
heap.Add(node);
Swim(Count);
}
private void ShrinkHeap()
{
var newArray = new HeapNode[this._heap.Length / 2];
Array.Copy(this._heap, newArray, this.Count + 1);
this._heap = newArray;
}
private void ResizeHeap()
{
var newArray = new HeapNode[this._heap.Length * 2];
Array.Copy(this._heap, newArray, this.Count + 1);
this._heap = newArray;
}
private void HeapifyUp(HeapNode node)
{
if (node.PositionInQueue < 1)
{
return;
}
int parent = node.PositionInQueue >> 1;
if (node.PositionInQueue > 1)
{
parent = node.PositionInQueue >> 1;
if (this.IsHigherPriority(this._heap[parent], node))
{
return;
}
this.Switch(parent, node);
}
while (parent > 1)
{
parent = parent / 2;
if (this.IsHigherPriority(this._heap[parent], node))
{
break;
}
this.Switch(parent, node);
}
this._heap[node.PositionInQueue] = node;
}
public void RemoveItem(int val)
{
Console.WriteLine("Remove item with value {0}", val);
HeapNode item = new HeapNode();
item.Data = val;
int last = elements.Count - 1;
// get the index of the the first occurence of item
int index = -1;
for (int i = 0; i < elements.Count; i++)
{
if (val == elements[i].Data)
{
index = i;
break;
}
}
if (index == -1)
{
Console.WriteLine("No element with value {0} found.", item.Data);
return;
}
else
{
elements[index] = elements[last]; // replace the value at the index with value of last item in the list
elements.RemoveAt(last); // remove the last element of the list, as there is a duplicate value now at the index
Heapify();
}
}
public void AddChildTest()
{
// Parent node
HeapNode <float, string> node = new HeapNode <float, string>(0, "Potato");
// Add first child
HeapNode <float, string> child1 = new HeapNode <float, string>(2, "Tomato");
node.AddChild(child1);
Assert.AreEqual(child1.Parent, node); // Child is child of node
Assert.AreEqual(node.Children.Count, 1); // Node has one child
Assert.IsTrue(node.Children.Contains(child1)); // Node has child as a child
Assert.AreEqual(node.Rank, 1); // Rank reflects number of children
// Add second child
HeapNode <float, string> child2 = new HeapNode <float, string>(7, "Orange");
node.AddChild(child2);
Assert.AreEqual(child2.Parent, node); // Child is child of node
Assert.AreEqual(node.Children.Count, 2); // Node has one child
Assert.IsTrue(node.Children.Contains(child1)); // Node has child1 as a child
Assert.IsTrue(node.Children.Contains(child2)); // Node has child2 as a child
Assert.AreEqual(node.Rank, 2); // Rank reflects number of children
}
public KeyedPriorityQueue(Comparer <P> compair)
{
this.mPriorityHeap = new List <HeapNode <K, V, P> >();
this.mPriorityComparer = compair;
this.mPlaceHolder = new HeapNode <K, V, P>();
this.mPriorityHeap.Add(new HeapNode <K, V, P>());
}
private void Swap(int i, int j)
{
HeapNode hn = heap[i];
heap[i] = heap[j];
heap[j] = hn;
}
private HeapNode Pair(HeapNode node)
{
HeapNode tail = null;
HeapNode cur = node;
while (cur != null && cur.Next != null)
{
var n1 = cur;
var n2 = cur.Next;
cur = cur.Next.Next;
n1.Next = tail;
n2.Next = n1;
tail = n2;
}
while (tail != null)
{
var n = tail;
tail = tail.Next.Next;
cur = Meld(cur, Meld(n, n.Next));
}
return(cur);
}
//
// Removes x from the children of y
//
private void Cut(HeapNode <T> x, HeapNode <T> y)
{
// remove x from the children of y
x.left.right = x.right;
x.right.left = x.left;
// y lost a child, and indicate it
y.degree--;
// if other children than x, set y's pointer to the next child
if (y.child == x)
{
y.child = x.right;
}
// indicate no children, if needed
if (y.degree == 0)
{
y.child = null;
}
// add x to root list of heap
x.left = minNode;
x.right = minNode.right;
minNode.right = x;
x.right.left = x;
// indicate x has no parent
x.parent = null;
// indicate x is unmarked
x.mark = false;
}
public void Enqueue
(
TKey key
, TValue value
, TPriority priority
)
{
TValue oldHead = _size > 0 ? _heap[1].Value : null;
int i = ++_size;
int parent = i / 2;
if (i == _heap.Count)
{
_heap.Add(_placeHolder);
}
var heapNode = new HeapNode <TKey, TValue, TPriority>(key, value, priority);
bool isHigher = IsHigher(heapNode, _heap[parent]);
while (i > 1 && isHigher)
{
_heap[i] = _heap[parent];
i = parent;
parent = i / 2;
}
_heap[i] = heapNode;
TValue newHead = _heap[1].Value;
if (!newHead.Equals(oldHead))
{
RaiseHeadChangedEvent(oldHead, newHead);
}
}
private void Swap(int i, int j)
{
HeapNode <K, V, P, K, V, P> node = this.heap[i];
this.heap[i] = this.heap[j];
this.heap[j] = node;
}
public void InsertTest()
{
// Heap
FibonacciHeap <float, char> heap = new FibonacciHeap <float, char>();
// Add collection of nodes
HeapNode <float, char> node2 = heap.Insert(7, 'b');
HeapNode <float, char> node1 = heap.Insert(3, 'a');
HeapNode <float, char> node3 = heap.Insert(14, 'c');
HeapNode <float, char> node4 = heap.Insert(35, 'd');
// Check minimum is correct, and contains correct values
Assert.AreEqual(heap.Minimum, node1);
Assert.AreEqual(heap.Minimum.Priority, 3);
Assert.AreEqual(heap.Minimum.Value, 'a');
Assert.AreEqual(heap.Count, 4);
// Insert new minimum
HeapNode <float, char> node5 = heap.Insert(2, 'e');
// Check minimum is correct, and contains correct values
Assert.AreEqual(heap.Minimum, node5);
Assert.AreEqual(heap.Minimum.Priority, 2);
Assert.AreEqual(heap.Minimum.Value, 'e');
Assert.AreEqual(heap.Count, 5);
}
public int[] TopKFrequent_MaxHeap(int[] nums, int k)
{
var dict = new Dictionary <int, int>();
foreach (var num in nums)
{
dict[num] = dict.ContainsKey(num) ? dict[num] + 1 : 1;
}
var heap = new MaxHeap(nums.Length);
foreach (var key in dict.Keys)
{
var node = new HeapNode(dict[key], key);
heap.Push(node);
}
var res = new int[k];
int i = 0;
while (!heap.IsEmpty && i < k)
{
var node = heap.Pop();
res[i] = node.Value;
i++;
}
return(res);
}
public void DecreasePriorityTest()
{
// Heap
FibonacciHeap <float, char> heap = new FibonacciHeap <float, char>();
// Add collection of nodes
HeapNode <float, char> node2 = heap.Insert(7, 'b');
HeapNode <float, char> node1 = heap.Insert(3, 'a');
HeapNode <float, char> node3 = heap.Insert(14, 'c');
HeapNode <float, char> node4 = heap.Insert(35, 'd');
// Decrease priority of node
heap.DecreasePriority(node4, 1);
// Check minimum is correct, and contains correct values
Assert.AreEqual(heap.Minimum.Priority, 1);
Assert.AreEqual(heap.Minimum.Value, 'd');
Assert.AreEqual(heap.Minimum, node4);
Assert.AreEqual(heap.Count, 4);
// Delete min so trees are consolidated
heap.DeleteMin();
// Decrease priority of node
heap.DecreasePriority(node2, 0);
// Check minimum is correct, and contains correct values
Assert.AreEqual(heap.Minimum, node2);
Assert.AreEqual(heap.Minimum.Priority, 0);
Assert.AreEqual(heap.Minimum.Value, 'b');
Assert.AreEqual(heap.Count, 3);
}
public void DeleteMinTest()
{
// Heap
FibonacciHeap <float, char> heap = new FibonacciHeap <float, char>();
// Add collection of nodes
HeapNode <float, char> node2 = heap.Insert(7, 'b');
HeapNode <float, char> node1 = heap.Insert(3, 'a');
HeapNode <float, char> node3 = heap.Insert(14, 'c');
HeapNode <float, char> node4 = heap.Insert(35, 'd');
// Check minimum is correct, and contains correct values
Assert.AreEqual(heap.Minimum, node1);
Assert.AreEqual(heap.Minimum.Priority, 3);
Assert.AreEqual(heap.Minimum.Value, 'a');
Assert.AreEqual(heap.Count, 4);
// Remove minimum element
heap.DeleteMin();
// Check minimum is correct, and contains correct values
Assert.AreEqual(heap.Minimum, node2);
Assert.AreEqual(heap.Minimum.Priority, 7);
Assert.AreEqual(heap.Minimum.Value, 'b');
Assert.AreEqual(heap.Count, 3);
}
//
// Make node y a child of x.
//
private void Link(HeapNode <T> y, HeapNode <T> x)
{
// remove y from root list of heap
y.left.right = y.right;
y.right.left = y.left;
// make y a child of x
y.parent = x;
// If x has no children, set y to be the child of x as well as
// y pointing to itself (as it is the only child of x)
if (x.child == null)
{
x.child = y;
y.right = y;
y.left = y;
}
else
{
// Attach y to the list of x's children
y.left = x.child;
y.right = x.child.right;
x.child.right = y;
y.right.left = y;
}
// increase x's degree since we added another child
x.degree++;
// unmark y
y.mark = false;
}
// public event EventHandler<KeyedPriorityQueueEventArgs<V>> mFirstElementChanged;
public KeyedPriorityQueue()
{
this.mPriorityHeap = new List <HeapNode <K, V, P> >();
this.mPriorityComparer = Comparer <P> .Default;
this.mPlaceHolder = new HeapNode <K, V, P>();
this.mPriorityHeap.Add(new HeapNode <K, V, P>());
}
private void Swap(int i, int j)
{
HeapNode <K, V, P> node = this.mPriorityHeap[i];
this.mPriorityHeap[i] = this.mPriorityHeap[j];
this.mPriorityHeap[j] = node;
}
//public void sort(int[] arr)
//{
// int n = arr.Length;
// // Build heap (rearrange array)
// for (int i = n / 2 - 1; i >= 0; i--)
// heapify(arr, n, i);
// // One by one extract an element from heap
// for (int i = n - 1; i >= 0; i--)
// {
// // Move current root to end
// int temp = arr[0];
// arr[0] = arr[i];
// arr[i] = temp;
// // call max heapify on the reduced heap
// heapify(arr, i, 0);
// }
//}
// To heapify a subtree rooted with node i which is
// an index in arr[]. n is size of heap
static void heapify(HeapNode[] arr, int n, int i)
{
int smallest = i; // Initialize largest as root
int l = 2 * i + 1; // left = 2*i + 1
int r = 2 * i + 2; // right = 2*i + 2
// If left child is larger than root
if (l < n && arr[l].Data < arr[smallest].Data)
{
smallest = l;
}
// If right child is larger than largest so far
if (r < n && arr[r].Data < arr[smallest].Data)
{
smallest = r;
}
// If largest is not root
if (smallest != i)
{
HeapNode swap = arr[i];
arr[i] = arr[smallest];
arr[smallest] = swap;
// Recursively heapify the affected sub-tree
heapify(arr, n, smallest);
}
}
public int Pop()
{
HeapNode result = InnerList[0];
int p = 0, p1, p2, pn;
InnerList[0] = InnerList[InnerList.Count - 1];
InnerList.RemoveAt(InnerList.Count - 1);
do
{
pn = p;
p1 = (p << 1) + 1;
p2 = (p << 1) + 2;
if (InnerList.Count > p1 && InnerList[p].weight > InnerList[p1].weight)
{
p = p1;
}
if (InnerList.Count > p2 && InnerList[p].weight > InnerList[p2].weight)
{
p = p2;
}
if (p == pn)
{
break;
}
HeapNode h = InnerList[p];
InnerList[p] = InnerList[pn];
InnerList[pn] = h;
} while (true);
return(result.index);
}
private HeapNode UnifyChildNodes(HeapNode node)
{
HeapNode[] tmp = new HeapNode[node.ChildsCount / 2]; //必要な要素数が明らかなのでStackではなく配列
for (int i = 0; i < tmp.Length; i++)
{
HeapNode x = node.PollFirstChild();
HeapNode y = node.PollFirstChild();
tmp[i] = this.MergeNodes(x, y);
}
HeapNode z;
if (node.ChildsCount == 1) //子要素数が奇数の場合、まだ１つ残っている子要素をここで処理
{
z = node.PollFirstChild();
}
else
{
z = null;
}
for (int i = tmp.Length - 1; i >= 0; i--) //逆順ループで配列をStackのように振る舞わせる
{
z = this.MergeNodes(tmp[i], z);
}
return(z);
}
public void Push(int index, float weight)
{
int p = InnerList.Count, p2;
InnerList.Add(new HeapNode(index, weight));
do
{
if (p == 0)
{
break;
}
p2 = (p - 1) >> 1;
if (InnerList[p].weight < InnerList[p2].weight)
{
HeapNode h = InnerList[p];
InnerList[p] = InnerList[p2];
InnerList[p2] = h;
p = p2;
}
else
{
break;
}
} while (true);
}
//
// Makes the given node priority the newKey value and updates the heap
// O(log n)
//
public void DecreaseKey(HeapNode<int> node, int newKey)
{
int index = node.degree;
node.key = newKey;
// Moves the value up the heap until a suitable point is determined
while (index > 0 && heap[ParentIndex(index)].key <= heap[index].key)
{
Swap(index, ParentIndex(index));
index = ParentIndex(index);
}
}
//
// Creates the Max-heap array and places the smallest value possible in array position 0
//
public MaxHeap(int sz)
{
heap = new HeapNode<int>[sz + 5]; // +5 for safety
Count = 0;
//
// Make index 0 a sentinel value
//
HeapNode<int> node = new HeapNode<int>(-1);
node.key = Double.PositiveInfinity;
heap[0] = node;
}
public void Insert(ILabelled obj, float importance)
{
if (m_Size == m_Capacity)
{
Resize(2*m_Size);
}
var i = m_Size++;
var node = new HeapNode(obj, importance);
node.Object.Token = i;
nodes[i] = node;
UpHeap(i);
}
//
// Inserts an element (similar to Insertion; update the heap)
// O(log n)
//
public void Insert(HeapNode<int> node, int key)
{
// Add the node to the last open position
node.key = key;
node.degree = ++Count;
heap[Count] = node;
// Moves the value up the heap until a suitable point is determined
int current = Count;
while (heap[current].key >= heap[ParentIndex(current)].key)
{
Swap(current, ParentIndex(current));
current = ParentIndex(current);
}
}
public void addPacket(Packet pkt)
{
flitCount += pkt.nrOfFlits;
HeapNode h = new HeapNode(pkt);
heaps[pkt.getQueue()].Enqueue(h);
}
//
// Performs Dijkstra's shortest path algorithm on the the constructed PathGraph object
//
// @param path -- Returns the actual shortest path in the List parameter
// @return the length of the shortest path via the return value
//
public int Dijkstra(List<int> path)
{
// Initialize all shortest paths to a node to be large and the shortest path to a start node to be 0
InitializeSingleSource(int.MaxValue - 100000); // -100000 prevents issues with arithmetic overflow
//
// Create the min-Fibonacci Heap by pushing all vertices onto the Heap
//
int numV = graph.NumVertices();
//FibonacciHeap<int> vertices = new FibonacciHeap<int>();
MinHeap vertices = new MinHeap(numV);
for (int i = 0; i < numV; i++) // VertexValues node : shortPathEst)
{
// Insert the weight, d, which is the short path to node i
HeapNode<int> node = new HeapNode<int>(i);
vertices.Insert(node, shortPathEst[i].d);
shortPathEst[i].heapNode = node; // maintain a pointer to the object for DecreaseKey
}
//
// Visit all vertices in the PathGraph (always visiting the shortest distance from the start node first)
// Do so by using a Fibonacci Heap
//
while (!vertices.IsEmpty())
{
//
// Acquire the minimum: min will contain a pair <shortest distance to node n, node n>
//
HeapNode<int> min = vertices.ExtractMin(); // Now, extract the node
//
// For each adjacent vertex, relax
//
int nodeIndex = min.data;
List<int> adjNodes = graph.AdjacentNodes(nodeIndex);
foreach (int neighbor in adjNodes)
{
Relax(nodeIndex, neighbor, graph.GetWeight(nodeIndex, neighbor), vertices);
}
}
//
// Look at predecessors to acquire the actual shortest path
//
path.Add(goalNode); // Add the last node
// Predecessor node
int predNode = shortPathEst[goalNode].pi;
// Loop while we have not yet reached the start node
// If we hit a NIL, a path does not exist
while (predNode != startNode && predNode != NIL)
{
path.Insert(0, predNode); // Insert at the beginning of the List; index 0
predNode = shortPathEst[predNode].pi;
}
// Check if the goal node was even reachable
if (predNode == NIL)
{
path.Clear();
return NIL;
}
// Insert the first node at the beginning
path.Insert(0, predNode);
return shortPathEst[goalNode].d; // recall .d contains the shortest path length to the goalNode
}
private void Resize(int newSize)
{
var newArray = new HeapNode[newSize];
for (var i = 0; i < m_Size; i++)
{
newArray[i] = nodes[i];
}
nodes = newArray;
m_Capacity = newSize;
}
public int pi; // index of the node's predecessor
#endregion Fields
#region Constructors
// Basic constructor
public VertexValue(int d, int pi)
{
this.d = d; this.pi = pi; heapNode = null;
}