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## com.mxgraph.analysis
Class mxFibonacciHeap

    java.lang.Object
      com.mxgraph.analysis.mxFibonacciHeap

    public class mxFibonacciHeap

extends Object

This class implements a priority queue.

Nested Class Summary
`static class` | `mxFibonacciHeap.Node` Implements a node of the Fibonacci heap.

Field Summary
`protected mxFibonacciHeap.Node` | `min`
`protected Map<Object,mxFibonacciHeap.Node>` | `nodes` Maps from elements to nodes
`protected int` | `size`

Constructor Summary
`mxFibonacciHeap()`

Method Summary
`protected void` | `cascadingCut(mxFibonacciHeap.Node y)` Performs a cascading cut operation.
`protected void` | `consolidate()` Consolidates the trees in the heap by joining trees of equal degree until there are no more trees of equal degree in the root list.
`protected void` | `cut(mxFibonacciHeap.Node x, mxFibonacciHeap.Node y)` The reverse of the link operation: removes x from the child list of y.
`void` | `decreaseKey(mxFibonacciHeap.Node x, double k)` Decreases the key value for a heap node, given the new value to take on.
`void` | `delete(mxFibonacciHeap.Node x)` Deletes a node from the heap given the reference to the node.
`mxFibonacciHeap.Node` | `getNode(Object element, boolean create)` Returns the node that represents element.
`void` | `insert(mxFibonacciHeap.Node node, double key)` Inserts a new data element into the heap.
`boolean` | `isEmpty()` Returns true if the queue is empty.
`protected void` | `link(mxFibonacciHeap.Node y, mxFibonacciHeap.Node x)` Make node y a child of node x.
`mxFibonacciHeap.Node` | `min()` Returns the smallest element in the heap.
`mxFibonacciHeap.Node` | `removeMin()` Removes the smallest element from the heap.
`int` | `size()` Returns the size of the heap which is measured in the number of elements contained in the heap.
`static mxFibonacciHeap` | `union(mxFibonacciHeap h1, mxFibonacciHeap h2)` Joins two Fibonacci heaps into a new one.

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Field Detail

### nodes

    protected Map<Object,mxFibonacciHeap.Node> nodes

  Maps from elements to nodes

### min

    protected mxFibonacciHeap.Node min

### size

    protected int size

Constructor Detail

### mxFibonacciHeap

    public mxFibonacciHeap()

Method Detail

### getNode

    public mxFibonacciHeap.Node getNode(Object element,
                                        boolean create)

  Returns the node that represents element.

### isEmpty

    public boolean isEmpty()

  Returns true if the queue is empty.

### decreaseKey

    public void decreaseKey(mxFibonacciHeap.Node x,
                            double k)

  Decreases the key value for a heap node, given the new value to take on. The structure of the heap may be changed and will not be consolidated.

  Running time: O(1) amortized

  Parameters:
    `x` - Node whose value should be decreased.
    `k` - New key value for node x.
  Throws:
    `IllegalArgumentException` - Thrown if k is larger than x.key value.

### delete

    public void delete(mxFibonacciHeap.Node x)

  Deletes a node from the heap given the reference to the node. The trees in the heap will be consolidated, if necessary. This operation may fail to remove the correct element if there are nodes with key value -Infinity.

  Running time: O(log n) amortized

  Parameters:
    `x` - The node to remove from the heap.

### insert

    public void insert(mxFibonacciHeap.Node node,
                       double key)

  Inserts a new data element into the heap. No heap consolidation is performed at this time, the new node is simply inserted into the root list of this heap.

  Running time: O(1) actual

  Parameters:
    `node` - new node to insert into heap
    `key` - key value associated with data object

### min

    public mxFibonacciHeap.Node min()

  Returns the smallest element in the heap. This smallest element is the one with the minimum key value.

  Running time: O(1) actual

  Returns:
    Returns the heap node with the smallest key.

### removeMin

    public mxFibonacciHeap.Node removeMin()

  Removes the smallest element from the heap. This will cause the trees in the heap to be consolidated, if necessary. Does not remove the data node so that the current key remains stored.

  Running time: O(log n) amortized

  Returns:
    Returns the node with the smallest key.

### size

    public int size()

  Returns the size of the heap which is measured in the number of elements contained in the heap.

  Running time: O(1) actual

  Returns:
    Returns the number of elements in the heap.

### union

    public static mxFibonacciHeap union(mxFibonacciHeap h1,
                                        mxFibonacciHeap h2)

  Joins two Fibonacci heaps into a new one. No heap consolidation is performed at this time. The two root lists are simply joined together.

  Running time: O(1) actual

  Parameters:
    `h1` - The first heap.
    `h2` - The second heap.
  Returns:
    Returns a new heap containing h1 and h2.

### cascadingCut

    protected void cascadingCut(mxFibonacciHeap.Node y)

  Performs a cascading cut operation. This cuts y from its parent and then does the same for its parent, and so on up the tree.

  Running time: O(log n); O(1) excluding the recursion

  Parameters:
    `y` - The node to perform cascading cut on.

### consolidate

    protected void consolidate()

  Consolidates the trees in the heap by joining trees of equal degree until there are no more trees of equal degree in the root list.

  Running time: O(log n) amortized

### cut

    protected void cut(mxFibonacciHeap.Node x,
                       mxFibonacciHeap.Node y)

  The reverse of the link operation: removes x from the child list of y. This method assumes that min is non-null.

  Running time: O(1)

  Parameters:
    `x` - The child of y to be removed from y's child list.
    `y` - The parent of x about to lose a child.

### link

    protected void link(mxFibonacciHeap.Node y,
                        mxFibonacciHeap.Node x)

  Make node y a child of node x.

  Running time: O(1) actual

  Parameters:
    `y` - The node to become child.
    `x` - The node to become parent.

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Copyright (c) 2010 Gaudenz Alder. All rights reserved.