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<div class="sub-title"><span class="package-label-in-type">Package</span>&nbsp;<a href="package-summary.html">org.apache.calcite.util</a></div>
<h1 title="Class PartiallyOrderedSet" class="title">Class PartiallyOrderedSet&lt;E&gt;</h1>
</div>
<div class="inheritance" title="Inheritance Tree"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">java.lang.Object</a>
<div class="inheritance"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">java.util.AbstractCollection</a>&lt;E&gt;
<div class="inheritance"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractSet.html" title="class or interface in java.util" class="external-link">java.util.AbstractSet</a>&lt;E&gt;
<div class="inheritance">org.apache.calcite.util.PartiallyOrderedSet&lt;E&gt;</div>
</div>
</div>
</div>
<section class="class-description" id="class-description">
<dl class="notes">
<dt>Type Parameters:</dt>
<dd><code>E</code> - Element type</dd>
</dl>
<dl class="notes">
<dt>All Implemented Interfaces:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;E&gt;</code>, <code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;E&gt;</code>, <code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;E&gt;</code></dd>
</dl>
<hr>
<div class="type-signature"><span class="modifiers">public class </span><span class="element-name type-name-label">PartiallyOrderedSet&lt;E&gt;</span>
<span class="extends-implements">extends <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractSet.html" title="class or interface in java.util" class="external-link">AbstractSet</a>&lt;E&gt;</span></div>
<div class="block">Partially-ordered set.
<p>When you create a partially-ordered set ('poset' for short) you must
provide an <a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util"><code>PartiallyOrderedSet.Ordering</code></a> that determines the order relation. The
ordering must be:</p>
<ul>
<li>reflexive: e.lte(e) returns true;</li>
<li>anti-symmetric: if e.lte(f) returns true,
then f.lte(e) returns false only if e = f;</li>
<li>transitive: if e.lte(f) returns true and
f.lte(g) returns true, then e.lte(g) must return true.</li>
</ul>
<p>Note that not all pairs of elements are related. It is OK if e.lte(f)
returns false and f.lte(e) returns false also.</p>
<p>In addition to the usual set methods, there are methods to determine the
immediate parents and children of an element in the set, and method to find
all elements which have no parents or no children (i.e. "root" and "leaf"
elements).</p>
<p>A lattice is a special kind of poset where there is a unique top and
bottom element. You can use a PartiallyOrderedSet for a lattice also. It may
be helpful to add the top and bottom elements to the poset on
construction.</p></div>
</section>
<section class="summary">
<ul class="summary-list">
<!-- ======== NESTED CLASS SUMMARY ======== -->
<li>
<section class="nested-class-summary" id="nested-class-summary">
<h2>Nested Class Summary</h2>
<div class="caption"><span>Nested Classes</span></div>
<div class="summary-table three-column-summary">
<div class="table-header col-first">Modifier and Type</div>
<div class="table-header col-second">Class</div>
<div class="table-header col-last">Description</div>
<div class="col-first even-row-color"><code>static interface&nbsp;</code></div>
<div class="col-second even-row-color"><code><a href="PartiallyOrderedSet.Ordering.html" class="type-name-link" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.Ordering.html" title="type parameter in PartiallyOrderedSet.Ordering">E</a>&gt;</code></div>
<div class="col-last even-row-color">
<div class="block">Ordering relation.</div>
</div>
</div>
</section>
</li>
<!-- =========== FIELD SUMMARY =========== -->
<li>
<section class="field-summary" id="field-summary">
<h2>Field Summary</h2>
<div class="caption"><span>Fields</span></div>
<div class="summary-table three-column-summary">
<div class="table-header col-first">Modifier and Type</div>
<div class="table-header col-second">Field</div>
<div class="table-header col-last">Description</div>
<div class="col-first even-row-color"><code>static final <a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="ImmutableBitSet.html" title="class in org.apache.calcite.util">ImmutableBitSet</a>&gt;</code></div>
<div class="col-second even-row-color"><code><a href="#BIT_SET_INCLUSION_ORDERING" class="member-name-link">BIT_SET_INCLUSION_ORDERING</a></code></div>
<div class="col-last even-row-color">
<div class="block">Ordering that orders bit sets by inclusion.</div>
</div>
</div>
</section>
</li>
<!-- ======== CONSTRUCTOR SUMMARY ======== -->
<li>
<section class="constructor-summary" id="constructor-summary">
<h2>Constructor Summary</h2>
<div class="caption"><span>Constructors</span></div>
<div class="summary-table two-column-summary">
<div class="table-header col-first">Constructor</div>
<div class="table-header col-last">Description</div>
<div class="col-constructor-name even-row-color"><code><a href="#%3Cinit%3E(org.apache.calcite.util.PartiallyOrderedSet.Ordering)" class="member-name-link">PartiallyOrderedSet</a><wbr>(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering)</code></div>
<div class="col-last even-row-color">
<div class="block">Creates a partially-ordered set.</div>
</div>
<div class="col-constructor-name odd-row-color"><code><a href="#%3Cinit%3E(org.apache.calcite.util.PartiallyOrderedSet.Ordering,com.google.common.base.Function,com.google.common.base.Function)" class="member-name-link">PartiallyOrderedSet</a><wbr>(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering,
com.google.common.base.Function&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;childFunction,
com.google.common.base.Function&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;parentFunction)</code></div>
<div class="col-last odd-row-color">
<div class="block"><span class="deprecated-label">Deprecated.</span></div>
</div>
<div class="col-constructor-name even-row-color"><code><a href="#%3Cinit%3E(org.apache.calcite.util.PartiallyOrderedSet.Ordering,java.util.Collection)" class="member-name-link">PartiallyOrderedSet</a><wbr>(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering,
<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;collection)</code></div>
<div class="col-last even-row-color">
<div class="block">Creates a partially-ordered set, and populates it with a given
collection.</div>
</div>
<div class="col-constructor-name odd-row-color"><code><a href="#%3Cinit%3E(org.apache.calcite.util.PartiallyOrderedSet.Ordering,java.util.function.Function,java.util.function.Function)" class="member-name-link">PartiallyOrderedSet</a><wbr>(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering,
<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/function/Function.html" title="class or interface in java.util.function" class="external-link">Function</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;childFunction,
<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/function/Function.html" title="class or interface in java.util.function" class="external-link">Function</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;parentFunction)</code></div>
<div class="col-last odd-row-color">
<div class="block">Creates a partially-ordered set with a parent-generating function.</div>
</div>
</div>
</section>
</li>
<!-- ========== METHOD SUMMARY =========== -->
<li>
<section class="method-summary" id="method-summary">
<h2>Method Summary</h2>
<div id="method-summary-table">
<div class="table-tabs" role="tablist" aria-orientation="horizontal"><button id="method-summary-table-tab0" role="tab" aria-selected="true" aria-controls="method-summary-table.tabpanel" tabindex="0" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table', 3)" class="active-table-tab">All Methods</button><button id="method-summary-table-tab1" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab1', 3)" class="table-tab">Static Methods</button><button id="method-summary-table-tab2" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab2', 3)" class="table-tab">Instance Methods</button><button id="method-summary-table-tab4" role="tab" aria-selected="false" aria-controls="method-summary-table.tabpanel" tabindex="-1" onkeydown="switchTab(event)" onclick="show('method-summary-table', 'method-summary-table-tab4', 3)" class="table-tab">Concrete Methods</button></div>
<div id="method-summary-table.tabpanel" role="tabpanel">
<div class="summary-table three-column-summary" aria-labelledby="method-summary-table-tab0">
<div class="table-header col-first">Modifier and Type</div>
<div class="table-header col-second">Method</div>
<div class="table-header col-last">Description</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>boolean</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#add(E)" class="member-name-link">add</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Adds an element to this lattice.</div>
</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>void</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#clear()" class="member-name-link">clear</a>()</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>boolean</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#contains(java.lang.Object)" class="member-name-link">contains</a><wbr>(@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>&nbsp;o)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getAncestors(E)" class="member-name-link">getAncestors</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Returns a list of values in the set that are less-than a given value.</div>
</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getChildren(E)" class="member-name-link">getChildren</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Returns the values in this partially-ordered set that are less-than
a given value and there are no intervening values.</div>
</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getChildren(E,boolean)" class="member-name-link">getChildren</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e,
boolean&nbsp;hypothetical)</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Returns the values in this partially-ordered set that are less-than
a given value and there are no intervening values.</div>
</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getDescendants(E)" class="member-name-link">getDescendants</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Returns a list of values in the set that are less-than a given value.</div>
</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getNonChildren()" class="member-name-link">getNonChildren</a>()</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getNonParents()" class="member-name-link">getNonParents</a>()</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getParents(E)" class="member-name-link">getParents</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Returns the values in this partially-ordered set that are greater-than
a given value and there are no intervening values.</div>
</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#getParents(E,boolean)" class="member-name-link">getParents</a><wbr>(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e,
boolean&nbsp;hypothetical)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Returns the values in this partially-ordered set that are greater-than
a given value and there are no intervening values.</div>
</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>boolean</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#isValid(boolean)" class="member-name-link">isValid</a><wbr>(boolean&nbsp;fail)</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">
<div class="block">Checks internal consistency of this lattice.</div>
</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Iterator.html" title="class or interface in java.util" class="external-link">Iterator</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#iterator()" class="member-name-link">iterator</a>()</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>void</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#out(java.lang.StringBuilder)" class="member-name-link">out</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/StringBuilder.html" title="class or interface in java.lang" class="external-link">StringBuilder</a>&nbsp;buf)</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>boolean</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#remove(java.lang.Object)" class="member-name-link">remove</a><wbr>(@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>&nbsp;o)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code>int</code></div>
<div class="col-second odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4"><code><a href="#size()" class="member-name-link">size</a>()</code></div>
<div class="col-last odd-row-color method-summary-table method-summary-table-tab2 method-summary-table-tab4">&nbsp;</div>
<div class="col-first even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code>static &lt;E&gt;&nbsp;<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;E&gt;</code></div>
<div class="col-second even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4"><code><a href="#strip(java.util.List)" class="member-name-link">strip</a><wbr>(<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;org.apache.calcite.util.PartiallyOrderedSet.Node&lt;E&gt;&gt;&nbsp;list)</code></div>
<div class="col-last even-row-color method-summary-table method-summary-table-tab1 method-summary-table-tab4">
<div class="block">Returns a list, backed by a list of
<code>PartiallyOrderedSet.Node</code>s, that strips
away the node and returns the element inside.</div>
</div>
</div>
</div>
</div>
<div class="inherited-list">
<h3 id="methods-inherited-from-class-java.util.AbstractSet">Methods inherited from class&nbsp;java.util.<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractSet.html" title="class or interface in java.util" class="external-link">AbstractSet</a></h3>
<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractSet.html#equals(java.lang.Object)" title="class or interface in java.util" class="external-link">equals</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractSet.html#hashCode()" title="class or interface in java.util" class="external-link">hashCode</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractSet.html#removeAll(java.util.Collection)" title="class or interface in java.util" class="external-link">removeAll</a></code></div>
<div class="inherited-list">
<h3 id="methods-inherited-from-class-java.util.AbstractCollection">Methods inherited from class&nbsp;java.util.<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a></h3>
<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#addAll(java.util.Collection)" title="class or interface in java.util" class="external-link">addAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#containsAll(java.util.Collection)" title="class or interface in java.util" class="external-link">containsAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#isEmpty()" title="class or interface in java.util" class="external-link">isEmpty</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#retainAll(java.util.Collection)" title="class or interface in java.util" class="external-link">retainAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#toArray()" title="class or interface in java.util" class="external-link">toArray</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#toArray(T%5B%5D)" title="class or interface in java.util" class="external-link">toArray</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#toString()" title="class or interface in java.util" class="external-link">toString</a></code></div>
<div class="inherited-list">
<h3 id="methods-inherited-from-class-java.lang.Object">Methods inherited from class&nbsp;java.lang.<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a></h3>
<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#clone()" title="class or interface in java.lang" class="external-link">clone</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#finalize()" title="class or interface in java.lang" class="external-link">finalize</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#getClass()" title="class or interface in java.lang" class="external-link">getClass</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#notify()" title="class or interface in java.lang" class="external-link">notify</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#notifyAll()" title="class or interface in java.lang" class="external-link">notifyAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#wait()" title="class or interface in java.lang" class="external-link">wait</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#wait(long)" title="class or interface in java.lang" class="external-link">wait</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html#wait(long,int)" title="class or interface in java.lang" class="external-link">wait</a></code></div>
<div class="inherited-list">
<h3 id="methods-inherited-from-class-java.util.Collection">Methods inherited from interface&nbsp;java.util.<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a></h3>
<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#parallelStream()" title="class or interface in java.util" class="external-link">parallelStream</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#removeIf(java.util.function.Predicate)" title="class or interface in java.util" class="external-link">removeIf</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#stream()" title="class or interface in java.util" class="external-link">stream</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#toArray(java.util.function.IntFunction)" title="class or interface in java.util" class="external-link">toArray</a></code></div>
<div class="inherited-list">
<h3 id="methods-inherited-from-class-java.lang.Iterable">Methods inherited from interface&nbsp;java.lang.<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a></h3>
<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html#forEach(java.util.function.Consumer)" title="class or interface in java.lang" class="external-link">forEach</a></code></div>
<div class="inherited-list">
<h3 id="methods-inherited-from-class-java.util.Set">Methods inherited from interface&nbsp;java.util.<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a></h3>
<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#addAll(java.util.Collection)" title="class or interface in java.util" class="external-link">addAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#containsAll(java.util.Collection)" title="class or interface in java.util" class="external-link">containsAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#isEmpty()" title="class or interface in java.util" class="external-link">isEmpty</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#retainAll(java.util.Collection)" title="class or interface in java.util" class="external-link">retainAll</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#spliterator()" title="class or interface in java.util" class="external-link">spliterator</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#toArray()" title="class or interface in java.util" class="external-link">toArray</a>, <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#toArray(T%5B%5D)" title="class or interface in java.util" class="external-link">toArray</a></code></div>
</section>
</li>
</ul>
</section>
<section class="details">
<ul class="details-list">
<!-- ============ FIELD DETAIL =========== -->
<li>
<section class="field-details" id="field-detail">
<h2>Field Details</h2>
<ul class="member-list">
<li>
<section class="detail" id="BIT_SET_INCLUSION_ORDERING">
<h3>BIT_SET_INCLUSION_ORDERING</h3>
<div class="member-signature"><span class="modifiers">public static final</span>&nbsp;<span class="return-type"><a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="ImmutableBitSet.html" title="class in org.apache.calcite.util">ImmutableBitSet</a>&gt;</span>&nbsp;<span class="element-name">BIT_SET_INCLUSION_ORDERING</span></div>
<div class="block">Ordering that orders bit sets by inclusion.
<p>For example, the children of 14 (1110) are 12 (1100), 10 (1010) and
6 (0110).</div>
</section>
</li>
</ul>
</section>
</li>
<!-- ========= CONSTRUCTOR DETAIL ======== -->
<li>
<section class="constructor-details" id="constructor-detail">
<h2>Constructor Details</h2>
<ul class="member-list">
<li>
<section class="detail" id="&lt;init&gt;(org.apache.calcite.util.PartiallyOrderedSet.Ordering)">
<h3>PartiallyOrderedSet</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="element-name">PartiallyOrderedSet</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering)</span></div>
<div class="block">Creates a partially-ordered set.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>ordering</code> - Ordering relation</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="&lt;init&gt;(org.apache.calcite.util.PartiallyOrderedSet.Ordering,java.util.function.Function,java.util.function.Function)">
<h3>PartiallyOrderedSet</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="element-name">PartiallyOrderedSet</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering,
<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/function/Function.html" title="class or interface in java.util.function" class="external-link">Function</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;childFunction,
<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/function/Function.html" title="class or interface in java.util.function" class="external-link">Function</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;parentFunction)</span></div>
<div class="block">Creates a partially-ordered set with a parent-generating function.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>ordering</code> - Ordering relation</dd>
<dd><code>parentFunction</code> - Function to compute parents of a node; may be null</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="&lt;init&gt;(org.apache.calcite.util.PartiallyOrderedSet.Ordering,com.google.common.base.Function,com.google.common.base.Function)">
<h3>PartiallyOrderedSet</h3>
<div class="member-signature"><span class="annotations"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Deprecated.html" title="class or interface in java.lang" class="external-link">@Deprecated</a>
</span><span class="modifiers">public</span>&nbsp;<span class="element-name">PartiallyOrderedSet</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering,
com.google.common.base.Function&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;childFunction,
com.google.common.base.Function&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>,<wbr><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&gt;&nbsp;parentFunction)</span></div>
<div class="deprecation-block"><span class="deprecated-label">Deprecated.</span></div>
</section>
</li>
<li>
<section class="detail" id="&lt;init&gt;(org.apache.calcite.util.PartiallyOrderedSet.Ordering,java.util.Collection)">
<h3>PartiallyOrderedSet</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="element-name">PartiallyOrderedSet</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.Ordering.html" title="interface in org.apache.calcite.util">PartiallyOrderedSet.Ordering</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;ordering,
<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;&nbsp;collection)</span></div>
<div class="block">Creates a partially-ordered set, and populates it with a given
collection.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>ordering</code> - Ordering relation</dd>
<dd><code>collection</code> - Initial contents of partially-ordered set</dd>
</dl>
</section>
</li>
</ul>
</section>
</li>
<!-- ============ METHOD DETAIL ========== -->
<li>
<section class="method-details" id="method-detail">
<h2>Method Details</h2>
<ul class="member-list">
<li>
<section class="detail" id="iterator()">
<h3>iterator</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Iterator.html" title="class or interface in java.util" class="external-link">Iterator</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">iterator</span>()</div>
<dl class="notes">
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#iterator()" title="class or interface in java.util" class="external-link">iterator</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html#iterator()" title="class or interface in java.lang" class="external-link">iterator</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Iterable.html" title="class or interface in java.lang" class="external-link">Iterable</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#iterator()" title="class or interface in java.util" class="external-link">iterator</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#iterator()" title="class or interface in java.util" class="external-link">iterator</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="size()">
<h3>size</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">int</span>&nbsp;<span class="element-name">size</span>()</div>
<dl class="notes">
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#size()" title="class or interface in java.util" class="external-link">size</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#size()" title="class or interface in java.util" class="external-link">size</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#size()" title="class or interface in java.util" class="external-link">size</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="contains(java.lang.Object)">
<h3>contains</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">boolean</span>&nbsp;<span class="element-name">contains</span><wbr><span class="parameters">(@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>&nbsp;o)</span></div>
<dl class="notes">
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#contains(java.lang.Object)" title="class or interface in java.util" class="external-link">contains</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#contains(java.lang.Object)" title="class or interface in java.util" class="external-link">contains</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Overrides:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#contains(java.lang.Object)" title="class or interface in java.util" class="external-link">contains</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="remove(java.lang.Object)">
<h3>remove</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">boolean</span>&nbsp;<span class="element-name">remove</span><wbr><span class="parameters">(@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/Object.html" title="class or interface in java.lang" class="external-link">Object</a>&nbsp;o)</span></div>
<dl class="notes">
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#remove(java.lang.Object)" title="class or interface in java.util" class="external-link">remove</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#remove(java.lang.Object)" title="class or interface in java.util" class="external-link">remove</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Overrides:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#remove(java.lang.Object)" title="class or interface in java.util" class="external-link">remove</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="add(E)">
<h3 id="add(java.lang.Object)">add</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">boolean</span>&nbsp;<span class="element-name">add</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</span></div>
<div class="block">Adds an element to this lattice.</div>
<dl class="notes">
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#add(E)" title="class or interface in java.util" class="external-link">add</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#add(E)" title="class or interface in java.util" class="external-link">add</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Overrides:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#add(E)" title="class or interface in java.util" class="external-link">add</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="isValid(boolean)">
<h3>isValid</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">boolean</span>&nbsp;<span class="element-name">isValid</span><wbr><span class="parameters">(boolean&nbsp;fail)</span></div>
<div class="block">Checks internal consistency of this lattice.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>fail</code> - Whether to throw an assertion error</dd>
<dt>Returns:</dt>
<dd>Whether valid</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="out(java.lang.StringBuilder)">
<h3>out</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">void</span>&nbsp;<span class="element-name">out</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/lang/StringBuilder.html" title="class or interface in java.lang" class="external-link">StringBuilder</a>&nbsp;buf)</span></div>
</section>
</li>
<li>
<section class="detail" id="getChildren(E)">
<h3 id="getChildren(java.lang.Object)">getChildren</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getChildren</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</span></div>
<div class="block">Returns the values in this partially-ordered set that are less-than
a given value and there are no intervening values.
<p>If the value is not in this set, returns null.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>e</code> - Value</dd>
<dt>Returns:</dt>
<dd>List of values in this set that are directly less than the given
value</dd>
<dt>See Also:</dt>
<dd>
<ul class="see-list">
<li><a href="#getDescendants(E)"><code>getDescendants(E)</code></a></li>
</ul>
</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="getChildren(E,boolean)">
<h3 id="getChildren(java.lang.Object,boolean)">getChildren</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getChildren</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e,
boolean&nbsp;hypothetical)</span></div>
<div class="block">Returns the values in this partially-ordered set that are less-than
a given value and there are no intervening values.
<p>If the value is not in this set, returns null if <code>hypothetical</code>
is false.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>e</code> - Value</dd>
<dd><code>hypothetical</code> - Whether to generate a list if value is not in the set</dd>
<dt>Returns:</dt>
<dd>List of values in this set that are directly less than the given
value</dd>
<dt>See Also:</dt>
<dd>
<ul class="see-list">
<li><a href="#getDescendants(E)"><code>getDescendants(E)</code></a></li>
</ul>
</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="getParents(E)">
<h3 id="getParents(java.lang.Object)">getParents</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getParents</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</span></div>
<div class="block">Returns the values in this partially-ordered set that are greater-than
a given value and there are no intervening values.
<p>If the value is not in this set, returns null.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>e</code> - Value</dd>
<dt>Returns:</dt>
<dd>List of values in this set that are directly greater than the
given value</dd>
<dt>See Also:</dt>
<dd>
<ul class="see-list">
<li><a href="#getAncestors(E)"><code>getAncestors(E)</code></a></li>
</ul>
</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="getParents(E,boolean)">
<h3 id="getParents(java.lang.Object,boolean)">getParents</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">@Nullable <a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getParents</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e,
boolean&nbsp;hypothetical)</span></div>
<div class="block">Returns the values in this partially-ordered set that are greater-than
a given value and there are no intervening values.
<p>If the value is not in this set, returns <code>null</code> if
<code>hypothetical</code> is false.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>e</code> - Value</dd>
<dd><code>hypothetical</code> - Whether to generate a list if value is not in the set</dd>
<dt>Returns:</dt>
<dd>List of values in this set that are directly greater than the
given value</dd>
<dt>See Also:</dt>
<dd>
<ul class="see-list">
<li><a href="#getAncestors(E)"><code>getAncestors(E)</code></a></li>
</ul>
</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="getNonChildren()">
<h3>getNonChildren</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getNonChildren</span>()</div>
</section>
</li>
<li>
<section class="detail" id="getNonParents()">
<h3>getNonParents</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getNonParents</span>()</div>
</section>
</li>
<li>
<section class="detail" id="clear()">
<h3>clear</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type">void</span>&nbsp;<span class="element-name">clear</span>()</div>
<dl class="notes">
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html#clear()" title="class or interface in java.util" class="external-link">clear</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Collection.html" title="class or interface in java.util" class="external-link">Collection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Specified by:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html#clear()" title="class or interface in java.util" class="external-link">clear</a></code>&nbsp;in interface&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/Set.html" title="class or interface in java.util" class="external-link">Set</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
<dt>Overrides:</dt>
<dd><code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html#clear()" title="class or interface in java.util" class="external-link">clear</a></code>&nbsp;in class&nbsp;<code><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/AbstractCollection.html" title="class or interface in java.util" class="external-link">AbstractCollection</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</code></dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="getDescendants(E)">
<h3 id="getDescendants(java.lang.Object)">getDescendants</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getDescendants</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</span></div>
<div class="block">Returns a list of values in the set that are less-than a given value.
The list is in topological order but order is otherwise
non-deterministic.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>e</code> - Value</dd>
<dt>Returns:</dt>
<dd>Values less than given value</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="strip(java.util.List)">
<h3>strip</h3>
<div class="member-signature"><span class="modifiers">public static</span>&nbsp;<span class="type-parameters">&lt;E&gt;</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;E&gt;</span>&nbsp;<span class="element-name">strip</span><wbr><span class="parameters">(<a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;org.apache.calcite.util.PartiallyOrderedSet.Node&lt;E&gt;&gt;&nbsp;list)</span></div>
<div class="block">Returns a list, backed by a list of
<code>PartiallyOrderedSet.Node</code>s, that strips
away the node and returns the element inside.</div>
<dl class="notes">
<dt>Type Parameters:</dt>
<dd><code>E</code> - Element type</dd>
</dl>
</section>
</li>
<li>
<section class="detail" id="getAncestors(E)">
<h3 id="getAncestors(java.lang.Object)">getAncestors</h3>
<div class="member-signature"><span class="modifiers">public</span>&nbsp;<span class="return-type"><a href="https://docs.oracle.com/en/java/javase/17/docs/api/java.base/java/util/List.html" title="class or interface in java.util" class="external-link">List</a>&lt;<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&gt;</span>&nbsp;<span class="element-name">getAncestors</span><wbr><span class="parameters">(<a href="PartiallyOrderedSet.html" title="type parameter in PartiallyOrderedSet">E</a>&nbsp;e)</span></div>
<div class="block">Returns a list of values in the set that are less-than a given value.
The list is in topological order but order is otherwise
non-deterministic.</div>
<dl class="notes">
<dt>Parameters:</dt>
<dd><code>e</code> - Value</dd>
<dt>Returns:</dt>
<dd>Values less than given value</dd>
</dl>
</section>
</li>
</ul>
</section>
</li>
</ul>
</section>
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