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<div class="subTitle">com.mxgraph.analysis</div>
<h2 title="Class mxGraphAnalysis" class="title">Class mxGraphAnalysis</h2>
</div>
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<ul class="inheritance">
<li>java.lang.Object</li>
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<li>com.mxgraph.analysis.mxGraphAnalysis</li>
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<pre>public class <span class="typeNameLabel">mxGraphAnalysis</span>
extends java.lang.Object</pre>
<div class="block">A singleton class that provides algorithms for graphs. Assume these
variables for the following examples:<br>
<code>
mxICostFunction cf = mxDistanceCostFunction();
Object[] v = graph.getChildVertices(graph.getDefaultParent());
Object[] e = graph.getChildEdges(graph.getDefaultParent());
mxGraphAnalysis mga = mxGraphAnalysis.getInstance();
</code>
<h3>Shortest Path (Dijkstra)</h3>
For example, to find the shortest path between the first and the second
selected cell in a graph use the following code: <br>
<br>
<code>Object[] path = mga.getShortestPath(graph, from, to, cf, v.length, true);</code>
<h3>Minimum Spanning Tree</h3>
This algorithm finds the set of edges with the minimal length that connect
all vertices. This algorithm can be used as follows:
<h5>Prim</h5>
<code>mga.getMinimumSpanningTree(graph, v, cf, true))</code>
<h5>Kruskal</h5>
<code>mga.getMinimumSpanningTree(graph, v, e, cf))</code>
<h3>Connection Components</h3>
The union find may be used as follows to determine whether two cells are
connected: <code>boolean connected = uf.differ(vertex1, vertex2)</code>.</div>
<dl>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis"><code>mxICostFunction</code></a></dd>
</dl>
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<td class="colFirst"><code>protected static <a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#instance">instance</a></span></code>
<div class="block">Holds the shared instance of this class.</div>
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<td class="colFirst"><code>protected </code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#mxGraphAnalysis--">mxGraphAnalysis</a></span>()</code>&nbsp;</td>
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<td class="colFirst"><code>protected <a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createPriorityQueue--">createPriorityQueue</a></span>()</code>
<div class="block">Hook for subclassers to provide a custom fibonacci heap.</div>
</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code>protected <a href="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createUnionFind-java.lang.Object:A-">createUnionFind</a></span>(java.lang.Object[]&nbsp;v)</code>
<div class="block">Hook for subclassers to provide a custom union find structure.</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getConnectionComponents-com.mxgraph.view.mxGraph-java.lang.Object:A-java.lang.Object:A-">getConnectionComponents</a></span>(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object[]&nbsp;v,
java.lang.Object[]&nbsp;e)</code>
<div class="block">Returns a union find structure representing the connection components of
G=(E,V).</div>
</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>static <a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getInstance--">getInstance</a></span>()</code>&nbsp;</td>
</tr>
<tr id="i4" class="altColor">
<td class="colFirst"><code>java.lang.Object[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getMinimumSpanningTree-com.mxgraph.view.mxGraph-java.lang.Object:A-com.mxgraph.analysis.mxICostFunction-boolean-">getMinimumSpanningTree</a></span>(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object[]&nbsp;v,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf,
boolean&nbsp;directed)</code>
<div class="block">Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).</div>
</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code>java.lang.Object[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getMinimumSpanningTree-com.mxgraph.view.mxGraph-java.lang.Object:A-java.lang.Object:A-com.mxgraph.analysis.mxICostFunction-">getMinimumSpanningTree</a></span>(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object[]&nbsp;v,
java.lang.Object[]&nbsp;e,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf)</code>
<div class="block">Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).</div>
</td>
</tr>
<tr id="i6" class="altColor">
<td class="colFirst"><code>java.lang.Object[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getShortestPath-com.mxgraph.view.mxGraph-java.lang.Object-java.lang.Object-com.mxgraph.analysis.mxICostFunction-int-boolean-">getShortestPath</a></span>(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object&nbsp;from,
java.lang.Object&nbsp;to,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf,
int&nbsp;steps,
boolean&nbsp;directed)</code>
<div class="block">Returns the shortest path between two cells or their descendants
represented as an array of edges in order of traversal.</div>
</td>
</tr>
<tr id="i7" class="rowColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#setInstance-com.mxgraph.analysis.mxGraphAnalysis-">setInstance</a></span>(<a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</a>&nbsp;instance)</code>
<div class="block">Sets the shared instance of this class.</div>
</td>
</tr>
<tr id="i8" class="altColor">
<td class="colFirst"><code><a href="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</a>[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#sort-com.mxgraph.view.mxCellState:A-com.mxgraph.analysis.mxICostFunction-">sort</a></span>(<a href="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</a>[]&nbsp;states,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf)</code>
<div class="block">Returns a sorted set for <code>cells</code> with respect to
<code>cf</code>.</div>
</td>
</tr>
<tr id="i9" class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#sum-com.mxgraph.view.mxCellState:A-com.mxgraph.analysis.mxICostFunction-">sum</a></span>(<a href="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</a>[]&nbsp;states,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf)</code>
<div class="block">Returns the sum of all cost for <code>cells</code> with respect to
<code>cf</code>.</div>
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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>
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<pre>protected static&nbsp;<a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</a> instance</pre>
<div class="block">Holds the shared instance of this class.</div>
</li>
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<pre>protected&nbsp;mxGraphAnalysis()</pre>
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<h4>getInstance</h4>
<pre>public static&nbsp;<a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</a>&nbsp;getInstance()</pre>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the sharedInstance.</dd>
</dl>
</li>
</ul>
<a name="setInstance-com.mxgraph.analysis.mxGraphAnalysis-">
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<h4>setInstance</h4>
<pre>public static&nbsp;void&nbsp;setInstance(<a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html" title="class in com.mxgraph.analysis">mxGraphAnalysis</a>&nbsp;instance)</pre>
<div class="block">Sets the shared instance of this class.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>instance</code> - The instance to set.</dd>
</dl>
</li>
</ul>
<a name="getShortestPath-com.mxgraph.view.mxGraph-java.lang.Object-java.lang.Object-com.mxgraph.analysis.mxICostFunction-int-boolean-">
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<h4>getShortestPath</h4>
<pre>public&nbsp;java.lang.Object[]&nbsp;getShortestPath(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object&nbsp;from,
java.lang.Object&nbsp;to,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf,
int&nbsp;steps,
boolean&nbsp;directed)</pre>
<div class="block">Returns the shortest path between two cells or their descendants
represented as an array of edges in order of traversal. <br>
This implementation is based on the Dijkstra algorithm.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>graph</code> - The object that defines the graph structure</dd>
<dd><code>from</code> - The source cell.</dd>
<dd><code>to</code> - The target cell (aka sink).</dd>
<dd><code>cf</code> - The cost function that defines the edge length.</dd>
<dd><code>steps</code> - The maximum number of edges to traverse.</dd>
<dd><code>directed</code> - If edge directions should be taken into account.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the shortest path as an alternating array of vertices
and edges, starting with <code>from</code> and ending with
<code>to</code>.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createPriorityQueue--"><code>createPriorityQueue()</code></a></dd>
</dl>
</li>
</ul>
<a name="getMinimumSpanningTree-com.mxgraph.view.mxGraph-java.lang.Object:A-com.mxgraph.analysis.mxICostFunction-boolean-">
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<h4>getMinimumSpanningTree</h4>
<pre>public&nbsp;java.lang.Object[]&nbsp;getMinimumSpanningTree(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object[]&nbsp;v,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf,
boolean&nbsp;directed)</pre>
<div class="block">Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).
The MST is defined as the set of all vertices with minimal lengths that
forms no cycles in G.<br>
This implementation is based on the algorihm by Prim-Jarnik. It uses
O(|E|+|V|log|V|) time when used with a Fibonacci heap and a graph whith a
double linked-list datastructure, as is the case with the default
implementation.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>graph</code> - the object that describes the graph</dd>
<dd><code>v</code> - the vertices of the graph</dd>
<dd><code>cf</code> - the cost function that defines the edge length</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the MST as an array of edges</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createPriorityQueue--"><code>createPriorityQueue()</code></a></dd>
</dl>
</li>
</ul>
<a name="getMinimumSpanningTree-com.mxgraph.view.mxGraph-java.lang.Object:A-java.lang.Object:A-com.mxgraph.analysis.mxICostFunction-">
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<h4>getMinimumSpanningTree</h4>
<pre>public&nbsp;java.lang.Object[]&nbsp;getMinimumSpanningTree(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object[]&nbsp;v,
java.lang.Object[]&nbsp;e,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf)</pre>
<div class="block">Returns the minimum spanning tree (MST) for the graph defined by G=(E,V).
The MST is defined as the set of all vertices with minimal lenths that
forms no cycles in G.<br>
This implementation is based on the algorihm by Kruskal. It uses
O(|E|log|E|)=O(|E|log|V|) time for sorting the edges, O(|V|) create sets,
O(|E|) find and O(|V|) union calls on the union find structure, thus
yielding no more than O(|E|log|V|) steps. For a faster implementatin</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>graph</code> - The object that contains the graph.</dd>
<dd><code>v</code> - The vertices of the graph.</dd>
<dd><code>e</code> - The edges of the graph.</dd>
<dd><code>cf</code> - The cost function that defines the edge length.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the MST as an array of edges.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#getMinimumSpanningTree-com.mxgraph.view.mxGraph-java.lang.Object:A-com.mxgraph.analysis.mxICostFunction-boolean-"><code>getMinimumSpanningTree(mxGraph, Object[], mxICostFunction,
boolean)</code></a>,
<a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createUnionFind-java.lang.Object:A-"><code>createUnionFind(Object[])</code></a></dd>
</dl>
</li>
</ul>
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<h4>getConnectionComponents</h4>
<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</a>&nbsp;getConnectionComponents(<a href="../../../com/mxgraph/view/mxGraph.html" title="class in com.mxgraph.view">mxGraph</a>&nbsp;graph,
java.lang.Object[]&nbsp;v,
java.lang.Object[]&nbsp;e)</pre>
<div class="block">Returns a union find structure representing the connection components of
G=(E,V).</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>graph</code> - The object that contains the graph.</dd>
<dd><code>v</code> - The vertices of the graph.</dd>
<dd><code>e</code> - The edges of the graph.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the connection components in G=(E,V)</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../com/mxgraph/analysis/mxGraphAnalysis.html#createUnionFind-java.lang.Object:A-"><code>createUnionFind(Object[])</code></a></dd>
</dl>
</li>
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<h4>sort</h4>
<pre>public&nbsp;<a href="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</a>[]&nbsp;sort(<a href="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</a>[]&nbsp;states,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf)</pre>
<div class="block">Returns a sorted set for <code>cells</code> with respect to
<code>cf</code>.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>states</code> - the cell states to sort</dd>
<dd><code>cf</code> - the cost function that defines the order</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns an ordered set of <code>cells</code> wrt.
<code>cf</code></dd>
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<h4>sum</h4>
<pre>public&nbsp;double&nbsp;sum(<a href="../../../com/mxgraph/view/mxCellState.html" title="class in com.mxgraph.view">mxCellState</a>[]&nbsp;states,
<a href="../../../com/mxgraph/analysis/mxICostFunction.html" title="interface in com.mxgraph.analysis">mxICostFunction</a>&nbsp;cf)</pre>
<div class="block">Returns the sum of all cost for <code>cells</code> with respect to
<code>cf</code>.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>states</code> - the cell states to use for the sum</dd>
<dd><code>cf</code> - the cost function that defines the costs</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the sum of all cell cost</dd>
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<h4>createUnionFind</h4>
<pre>protected&nbsp;<a href="../../../com/mxgraph/analysis/mxUnionFind.html" title="class in com.mxgraph.analysis">mxUnionFind</a>&nbsp;createUnionFind(java.lang.Object[]&nbsp;v)</pre>
<div class="block">Hook for subclassers to provide a custom union find structure.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>v</code> - the array of all elements</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns a union find structure for <code>v</code></dd>
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<h4>createPriorityQueue</h4>
<pre>protected&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;createPriorityQueue()</pre>
<div class="block">Hook for subclassers to provide a custom fibonacci heap.</div>
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