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<div class="subTitle"><span class="packageLabelInType">Package</span>&nbsp;<a href="package-summary.html">org.apache.calcite.util</a></div>
<h2 title="Interface PartiallyOrderedSet.Ordering" class="title">Interface PartiallyOrderedSet.Ordering&lt;E&gt;</h2>
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<dt><span class="paramLabel">Type Parameters:</span></dt>
<dd><code>E</code> - Element type</dd>
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<dt>Enclosing class:</dt>
<dd><a href="PartiallyOrderedSet.html" title="class in org.apache.calcite.util">PartiallyOrderedSet</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</dd>
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<pre>public static interface <span class="typeNameLabel">PartiallyOrderedSet.Ordering&lt;E&gt;</span></pre>
<div class="block">Ordering relation.
<p>To obey the constraints of the partially-ordered set, the function
must be consistent with the reflexive, anti-symmetric, and transitive
properties required by a partially ordered set.</p>
<p>For instance, if <code>ordering(foo, foo)</code> returned false for any
not-null value of foo, it would violate the reflexive property.</p>
<p>If an ordering violates any of these required properties, the behavior
of a <a href="PartiallyOrderedSet.html" title="class in org.apache.calcite.util"><code>PartiallyOrderedSet</code></a> is unspecified. (But mayhem is
likely.)</p></div>
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<td class="colFirst"><code>boolean</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#lessThan(E,E)">lessThan</a></span>&#8203;(<a href="PartiallyOrderedSet.Ordering.html" title="type parameter in PartiallyOrderedSet.Ordering">E</a>&nbsp;e1,
<a href="PartiallyOrderedSet.Ordering.html" title="type parameter in PartiallyOrderedSet.Ordering">E</a>&nbsp;e2)</code></th>
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<div class="block">Returns whether element e1 is &le; e2 according to
the relation that defines a partially-ordered set.</div>
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<h4>lessThan</h4>
<pre class="methodSignature">boolean&nbsp;lessThan&#8203;(<a href="PartiallyOrderedSet.Ordering.html" title="type parameter in PartiallyOrderedSet.Ordering">E</a>&nbsp;e1,
<a href="PartiallyOrderedSet.Ordering.html" title="type parameter in PartiallyOrderedSet.Ordering">E</a>&nbsp;e2)</pre>
<div class="block">Returns whether element e1 is &le; e2 according to
the relation that defines a partially-ordered set.</div>
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<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>e1</code> - Element 1</dd>
<dd><code>e2</code> - Element 2</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Whether element 1 is &le; element 2</dd>
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