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<h2 title="Class mxFibonacciHeap" class="title">Class mxFibonacciHeap</h2>
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<li>java.lang.Object</li>
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<pre>public class <span class="typeNameLabel">mxFibonacciHeap</span>
extends java.lang.Object</pre>
<div class="block">This class implements a priority queue.</div>
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<td class="colFirst"><code>static class&nbsp;</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></span></code></th>
<td class="colLast">
<div class="block">Implements a node of the Fibonacci heap.</div>
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<th class="colSecond" scope="col">Field</th>
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<td class="colFirst"><code>protected <a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#min">min</a></span></code></th>
<td class="colLast">&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected java.util.Map&lt;java.lang.Object,&#8203;<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt;</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nodes">nodes</a></span></code></th>
<td class="colLast">
<div class="block">Maps from elements to nodes</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#size">size</a></span></code></th>
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<th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E()">mxFibonacciHeap</a></span>()</code></th>
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<td class="colFirst"><code>protected void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#cascadingCut(com.mxgraph.analysis.mxFibonacciHeap.Node)">cascadingCut</a></span>&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code></th>
<td class="colLast">
<div class="block">Performs a cascading cut operation.</div>
</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code>protected void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#consolidate()">consolidate</a></span>()</code></th>
<td class="colLast">
<div class="block">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.</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code>protected void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#cut(com.mxgraph.analysis.mxFibonacciHeap.Node,com.mxgraph.analysis.mxFibonacciHeap.Node)">cut</a></span>&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code></th>
<td class="colLast">
<div class="block">The reverse of the link operation: removes x from the child list of y.</div>
</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#decreaseKey(com.mxgraph.analysis.mxFibonacciHeap.Node,double)">decreaseKey</a></span>&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
double&nbsp;k)</code></th>
<td class="colLast">
<div class="block">Decreases the key value for a heap node, given the new value to take on.</div>
</td>
</tr>
<tr id="i4" class="altColor">
<td class="colFirst"><code>void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#delete(com.mxgraph.analysis.mxFibonacciHeap.Node)">delete</a></span>&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code></th>
<td class="colLast">
<div class="block">Deletes a node from the heap given the reference to the node.</div>
</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code><a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getNode(java.lang.Object,boolean)">getNode</a></span>&#8203;(java.lang.Object&nbsp;element,
boolean&nbsp;create)</code></th>
<td class="colLast">
<div class="block">Returns the node that represents element.</div>
</td>
</tr>
<tr id="i6" class="altColor">
<td class="colFirst"><code>void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#insert(com.mxgraph.analysis.mxFibonacciHeap.Node,double)">insert</a></span>&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
double&nbsp;key)</code></th>
<td class="colLast">
<div class="block">Inserts a new data element into the heap.</div>
</td>
</tr>
<tr id="i7" class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#isEmpty()">isEmpty</a></span>()</code></th>
<td class="colLast">
<div class="block">Returns true if the queue is empty.</div>
</td>
</tr>
<tr id="i8" class="altColor">
<td class="colFirst"><code>protected void</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#link(com.mxgraph.analysis.mxFibonacciHeap.Node,com.mxgraph.analysis.mxFibonacciHeap.Node)">link</a></span>&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code></th>
<td class="colLast">
<div class="block">Make node y a child of node x.</div>
</td>
</tr>
<tr id="i9" class="rowColor">
<td class="colFirst"><code><a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#min()">min</a></span>()</code></th>
<td class="colLast">
<div class="block">Returns the smallest element in the heap.</div>
</td>
</tr>
<tr id="i10" class="altColor">
<td class="colFirst"><code><a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#removeMin()">removeMin</a></span>()</code></th>
<td class="colLast">
<div class="block">Removes the smallest element from the heap.</div>
</td>
</tr>
<tr id="i11" class="rowColor">
<td class="colFirst"><code>int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#size()">size</a></span>()</code></th>
<td class="colLast">
<div class="block">Returns the size of the heap which is measured in the number of elements
contained in the heap.</div>
</td>
</tr>
<tr id="i12" class="altColor">
<td class="colFirst"><code>static <a href="mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a></code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#union(com.mxgraph.analysis.mxFibonacciHeap,com.mxgraph.analysis.mxFibonacciHeap)">union</a></span>&#8203;(<a href="mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
<a href="mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</code></th>
<td class="colLast">
<div class="block">Joins two Fibonacci heaps into a new one.</div>
</td>
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</table>
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<h3>Methods inherited from class&nbsp;java.lang.Object</h3>
<code>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
</ul>
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</section>
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<h4>nodes</h4>
<pre>protected&nbsp;java.util.Map&lt;java.lang.Object,&#8203;<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt; nodes</pre>
<div class="block">Maps from elements to nodes</div>
</li>
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<a id="min">
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<h4>min</h4>
<pre>protected&nbsp;<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a> min</pre>
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<h4>size</h4>
<pre>protected&nbsp;int size</pre>
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<h4>mxFibonacciHeap</h4>
<pre>public&nbsp;mxFibonacciHeap()</pre>
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<h4>getNode</h4>
<pre class="methodSignature">public&nbsp;<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;getNode&#8203;(java.lang.Object&nbsp;element,
boolean&nbsp;create)</pre>
<div class="block">Returns the node that represents element.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>element</code> - the element whose node to find</dd>
<dd><code>create</code> - whether to create</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the node representing the specified element</dd>
</dl>
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<h4>isEmpty</h4>
<pre class="methodSignature">public&nbsp;boolean&nbsp;isEmpty()</pre>
<div class="block">Returns true if the queue is empty.</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>whether the queue is empty</dd>
</dl>
</li>
</ul>
<a id="decreaseKey(com.mxgraph.analysis.mxFibonacciHeap.Node,double)">
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<h4>decreaseKey</h4>
<pre class="methodSignature">public&nbsp;void&nbsp;decreaseKey&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
double&nbsp;k)</pre>
<div class="block">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.
<p>
Running time: O(1) amortized
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>x</code> - Node whose value should be decreased.</dd>
<dd><code>k</code> - New key value for node x.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.lang.IllegalArgumentException</code> - Thrown if k is larger than x.key value.</dd>
</dl>
</li>
</ul>
<a id="delete(com.mxgraph.analysis.mxFibonacciHeap.Node)">
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<h4>delete</h4>
<pre class="methodSignature">public&nbsp;void&nbsp;delete&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</pre>
<div class="block">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.
<p>
Running time: O(log n) amortized
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>x</code> - The node to remove from the heap.</dd>
</dl>
</li>
</ul>
<a id="insert(com.mxgraph.analysis.mxFibonacciHeap.Node,double)">
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<h4>insert</h4>
<pre class="methodSignature">public&nbsp;void&nbsp;insert&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
double&nbsp;key)</pre>
<div class="block">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.
<p>
Running time: O(1) actual
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>node</code> - new node to insert into heap</dd>
<dd><code>key</code> - key value associated with data object</dd>
</dl>
</li>
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<h4>min</h4>
<pre class="methodSignature">public&nbsp;<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;min()</pre>
<div class="block">Returns the smallest element in the heap. This smallest element is the
one with the minimum key value.
<p>
Running time: O(1) actual
</p></div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the heap node with the smallest key.</dd>
</dl>
</li>
</ul>
<a id="removeMin()">
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<h4>removeMin</h4>
<pre class="methodSignature">public&nbsp;<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;removeMin()</pre>
<div class="block">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.
<p>
Running time: O(log n) amortized
</p></div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the node with the smallest key.</dd>
</dl>
</li>
</ul>
<a id="size()">
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<h4>size</h4>
<pre class="methodSignature">public&nbsp;int&nbsp;size()</pre>
<div class="block">Returns the size of the heap which is measured in the number of elements
contained in the heap.
<p>
Running time: O(1) actual
</p></div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the number of elements in the heap.</dd>
</dl>
</li>
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<h4>union</h4>
<pre class="methodSignature">public static&nbsp;<a href="mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;union&#8203;(<a href="mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
<a href="mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</pre>
<div class="block">Joins two Fibonacci heaps into a new one. No heap consolidation is
performed at this time. The two root lists are simply joined together.
<p>
Running time: O(1) actual
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>h1</code> - The first heap.</dd>
<dd><code>h2</code> - The second heap.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns a new heap containing h1 and h2.</dd>
</dl>
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<h4>cascadingCut</h4>
<pre class="methodSignature">protected&nbsp;void&nbsp;cascadingCut&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</pre>
<div class="block">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.
<p>
Running time: O(log n); O(1) excluding the recursion
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>y</code> - The node to perform cascading cut on.</dd>
</dl>
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<h4>consolidate</h4>
<pre class="methodSignature">protected&nbsp;void&nbsp;consolidate()</pre>
<div class="block">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.
<p>
Running time: O(log n) amortized
</p></div>
</li>
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<h4>cut</h4>
<pre class="methodSignature">protected&nbsp;void&nbsp;cut&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</pre>
<div class="block">The reverse of the link operation: removes x from the child list of y.
This method assumes that min is non-null.
<p>
Running time: O(1)
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>x</code> - The child of y to be removed from y's child list.</dd>
<dd><code>y</code> - The parent of x about to lose a child.</dd>
</dl>
</li>
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<h4>link</h4>
<pre class="methodSignature">protected&nbsp;void&nbsp;link&#8203;(<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
<a href="mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</pre>
<div class="block">Make node y a child of node x.
<p>
Running time: O(1) actual
</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>y</code> - The node to become child.</dd>
<dd><code>x</code> - The node to become parent.</dd>
</dl>
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