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<div class="subTitle"><span class="packageLabelInType">Package</span> <a href="package-summary.html">com.mxgraph.analysis</a></div>
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<h2 title="Class mxUnionFind" class="title">Class mxUnionFind</h2>
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<li>java.lang.Object</li>
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<li>com.mxgraph.analysis.mxUnionFind</li>
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<pre>public class <span class="typeNameLabel">mxUnionFind</span>
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extends java.lang.Object</pre>
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<div class="block">Implements a union find structure that uses union by rank and path
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compression. The union by rank guarantees worst case find time of O(log N),
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while Tarjan shows that in combination with path compression (halving) the
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average time for an arbitrary sequence of m >= n operations is
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O(m*alpha(m,n)), where alpha is the inverse of the Ackermann function,
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defined as follows:
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<code>alpha(m,n) = min{i >= 1 | A(i, floor(m/n)) > log n} for m >= n >= 1</code>
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Which yields almost constant time for each individual operation.</div>
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<td class="colFirst"><code>class </code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></span></code></th>
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<td class="colLast">
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<div class="block">A class that defines the identity of a set.</div>
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</td>
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<th class="colLast" scope="col">Description</th>
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<td class="colFirst"><code>protected java.util.Map<java.lang.Object,​<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>></code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nodes">nodes</a></span></code></th>
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<td class="colLast">
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<div class="block">Maps from elements to nodes</div>
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</td>
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<th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="#%3Cinit%3E(java.lang.Object%5B%5D)">mxUnionFind</a></span>​(java.lang.Object[] elements)</code></th>
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<td class="colLast">
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<div class="block">Constructs a union find structure and initializes it with the specified
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elements.</div>
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</td>
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<caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd"> </span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">Instance Methods</a></span><span class="tabEnd"> </span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd"> </span></span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<th class="colLast" scope="col">Description</th>
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<td class="colFirst"><code>boolean</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#differ(java.lang.Object,java.lang.Object)">differ</a></span>​(java.lang.Object a,
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java.lang.Object b)</code></th>
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<td class="colLast">
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<div class="block">Returns true if element a and element b are not in the same set.</div>
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</td>
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<tr id="i1" class="rowColor">
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<td class="colFirst"><code><a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#find(com.mxgraph.analysis.mxUnionFind.Node)">find</a></span>​(<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> node)</code></th>
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<td class="colLast">
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<div class="block">Returns the set that contains <code>node</code>.</div>
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</td>
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</tr>
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<tr id="i2" class="altColor">
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<td class="colFirst"><code><a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getNode(java.lang.Object)">getNode</a></span>​(java.lang.Object element)</code></th>
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<td class="colLast">
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<div class="block">Returns the node that represents element.</div>
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</td>
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<tr id="i3" class="rowColor">
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<td class="colFirst"><code>void</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#union(com.mxgraph.analysis.mxUnionFind.Node,com.mxgraph.analysis.mxUnionFind.Node)">union</a></span>​(<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> a,
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<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> b)</code></th>
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<td class="colLast">
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<div class="block">Unifies the sets <code>a</code> and <code>b</code> in constant time
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using a union by rank on the tree size.</div>
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</td>
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</tr>
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<h3>Methods inherited from class java.lang.Object</h3>
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<code>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
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</ul>
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<!-- ============ FIELD DETAIL =========== -->
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<h4>nodes</h4>
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<pre>protected java.util.Map<java.lang.Object,​<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>> nodes</pre>
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<div class="block">Maps from elements to nodes</div>
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</li>
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</ul>
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<h4>mxUnionFind</h4>
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<pre>public mxUnionFind​(java.lang.Object[] elements)</pre>
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<div class="block">Constructs a union find structure and initializes it with the specified
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elements.</div>
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<dl>
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<dt><span class="paramLabel">Parameters:</span></dt>
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<dd><code>elements</code> - </dd>
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</dl>
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</li>
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</ul>
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<h3>Method Detail</h3>
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<h4>getNode</h4>
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<pre class="methodSignature">public <a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> getNode​(java.lang.Object element)</pre>
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<div class="block">Returns the node that represents element.</div>
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</li>
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</ul>
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<a id="find(com.mxgraph.analysis.mxUnionFind.Node)">
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<h4>find</h4>
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<pre class="methodSignature">public <a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> find​(<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> node)</pre>
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<div class="block">Returns the set that contains <code>node</code>. This implementation
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provides path compression by halving.</div>
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</li>
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</ul>
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<a id="union(com.mxgraph.analysis.mxUnionFind.Node,com.mxgraph.analysis.mxUnionFind.Node)">
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<h4>union</h4>
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<pre class="methodSignature">public void union​(<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> a,
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<a href="mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a> b)</pre>
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<div class="block">Unifies the sets <code>a</code> and <code>b</code> in constant time
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using a union by rank on the tree size.</div>
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</li>
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</ul>
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<a id="differ(java.lang.Object,java.lang.Object)">
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<h4>differ</h4>
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<pre class="methodSignature">public boolean differ​(java.lang.Object a,
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java.lang.Object b)</pre>
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<div class="block">Returns true if element a and element b are not in the same set. This
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uses getNode and then find to determine the elements set.</div>
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<dl>
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<dt><span class="paramLabel">Parameters:</span></dt>
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<dd><code>a</code> - The first element to compare.</dd>
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<dd><code>b</code> - The second element to compare.</dd>
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<dt><span class="returnLabel">Returns:</span></dt>
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<dd>Returns true if a and b are in the same set.</dd>
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<dt><span class="seeLabel">See Also:</span></dt>
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<dd><a href="#getNode(java.lang.Object)"><code>getNode(Object)</code></a></dd>
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</dl>
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</li>
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</ul>
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