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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<div class="subTitle">edu.emory.mathcs.backport.java.util.concurrent</div>
<h2 title="Interface ConcurrentNavigableMap" class="title">Interface ConcurrentNavigableMap</h2>
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<dt>All Superinterfaces:</dt>
<dd><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html" title="interface in edu.emory.mathcs.backport.java.util.concurrent">ConcurrentMap</a>, java.util.Map, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a>, java.util.SortedMap</dd>
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<dt>All Known Implementing Classes:</dt>
<dd><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentSkipListMap.html" title="class in edu.emory.mathcs.backport.java.util.concurrent">ConcurrentSkipListMap</a></dd>
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<pre>public interface <span class="strong">ConcurrentNavigableMap</span>
extends <a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html" title="interface in edu.emory.mathcs.backport.java.util.concurrent">ConcurrentMap</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></pre>
<div class="block">A <a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html" title="interface in edu.emory.mathcs.backport.java.util.concurrent"><code>ConcurrentMap</code></a> supporting <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableMap</code></a> operations,
 and recursively so for its navigable sub-maps.

 <p>This interface is a member of the
 <a href="../../../../../../../../technotes/guides/collections/index.html">
 Java Collections Framework</a>.</div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>1.6</dd>
<dt><span class="strong">Author:</span></dt>
  <dd>Doug Lea</dd></dl>
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<h3>Nested classes/interfaces inherited from interface&nbsp;java.util.Map</h3>
<code>java.util.Map.Entry</code></li>
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<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableSet</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#descendingKeySet()">descendingKeySet</a></strong>()</code>
<div class="block">Returns a reverse order <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableSet</code></a> view of the keys contained in this map.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#descendingMap()">descendingMap</a></strong>()</code>
<div class="block">Returns a reverse order view of the mappings contained in this map.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>java.util.SortedMap</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#headMap(java.lang.Object)">headMap</a></strong>(java.lang.Object&nbsp;toKey)</code></td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#headMap(java.lang.Object, boolean)">headMap</a></strong>(java.lang.Object&nbsp;toKey,
       boolean&nbsp;inclusive)</code>
<div class="block">Returns a view of the portion of this map whose keys are less than (or
 equal to, if <code>inclusive</code> is true) <code>toKey</code>.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>java.util.Set</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#keySet()">keySet</a></strong>()</code>
<div class="block">Returns a <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableSet</code></a> view of the keys contained in this map.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableSet</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#navigableKeySet()">navigableKeySet</a></strong>()</code>
<div class="block">Returns a <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableSet</code></a> view of the keys contained in this map.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#subMap(java.lang.Object, boolean, java.lang.Object, boolean)">subMap</a></strong>(java.lang.Object&nbsp;fromKey,
      boolean&nbsp;fromInclusive,
      java.lang.Object&nbsp;toKey,
      boolean&nbsp;toInclusive)</code>
<div class="block">Returns a view of the portion of this map whose keys range from
 <code>fromKey</code> to <code>toKey</code>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>java.util.SortedMap</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#subMap(java.lang.Object, java.lang.Object)">subMap</a></strong>(java.lang.Object&nbsp;fromKey,
      java.lang.Object&nbsp;toKey)</code></td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>java.util.SortedMap</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#tailMap(java.lang.Object)">tailMap</a></strong>(java.lang.Object&nbsp;fromKey)</code></td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentNavigableMap.html#tailMap(java.lang.Object, boolean)">tailMap</a></strong>(java.lang.Object&nbsp;fromKey,
       boolean&nbsp;inclusive)</code>
<div class="block">Returns a view of the portion of this map whose keys are greater than (or
 equal to, if <code>inclusive</code> is true) <code>fromKey</code>.</div>
</td>
</tr>
</table>
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<h3>Methods inherited from interface&nbsp;edu.emory.mathcs.backport.java.util.concurrent.<a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html" title="interface in edu.emory.mathcs.backport.java.util.concurrent">ConcurrentMap</a></h3>
<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html#putIfAbsent(java.lang.Object, java.lang.Object)">putIfAbsent</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html#remove(java.lang.Object, java.lang.Object)">remove</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html#replace(java.lang.Object, java.lang.Object)">replace</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/concurrent/ConcurrentMap.html#replace(java.lang.Object, java.lang.Object, java.lang.Object)">replace</a></code></li>
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<h3>Methods inherited from interface&nbsp;edu.emory.mathcs.backport.java.util.<a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></h3>
<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#ceilingEntry(java.lang.Object)">ceilingEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#ceilingKey(java.lang.Object)">ceilingKey</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#firstEntry()">firstEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#floorEntry(java.lang.Object)">floorEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#floorKey(java.lang.Object)">floorKey</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#higherEntry(java.lang.Object)">higherEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#higherKey(java.lang.Object)">higherKey</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#lastEntry()">lastEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#lowerEntry(java.lang.Object)">lowerEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#lowerKey(java.lang.Object)">lowerKey</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#pollFirstEntry()">pollFirstEntry</a>, <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#pollLastEntry()">pollLastEntry</a></code></li>
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<h3>Methods inherited from interface&nbsp;java.util.SortedMap</h3>
<code>comparator, entrySet, firstKey, lastKey, values</code></li>
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<h3>Methods inherited from interface&nbsp;java.util.Map</h3>
<code>clear, containsKey, containsValue, equals, get, hashCode, isEmpty, put, putAll, remove, size</code></li>
</ul>
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<h3>Method Detail</h3>
<a name="subMap(java.lang.Object, boolean, java.lang.Object, boolean)">
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<h4>subMap</h4>
<pre><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a>&nbsp;subMap(java.lang.Object&nbsp;fromKey,
                  boolean&nbsp;fromInclusive,
                  java.lang.Object&nbsp;toKey,
                  boolean&nbsp;toInclusive)</pre>
<div class="block"><strong>Description copied from interface:&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#subMap(java.lang.Object, boolean, java.lang.Object, boolean)">NavigableMap</a></code></strong></div>
<div class="block">Returns a view of the portion of this map whose keys range from
 <code>fromKey</code> to <code>toKey</code>.  If <code>fromKey</code> and
 <code>toKey</code> are equal, the returned map is empty unless
 <code>fromExclusive</code> and <code>toExclusive</code> are both true.  The
 returned map is backed by this map, so changes in the returned map are
 reflected in this map, and vice-versa.  The returned map supports all
 optional map operations that this map supports.

 <p>The returned map will throw an <code>IllegalArgumentException</code>
 on an attempt to insert a key outside of its range, or to construct a
 submap either of whose endpoints lie outside its range.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#subMap(java.lang.Object, boolean, java.lang.Object, boolean)">subMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>fromKey</code> - low endpoint of the keys in the returned map</dd><dd><code>fromInclusive</code> - <code>true</code> if the low endpoint
        is to be included in the returned view</dd><dd><code>toKey</code> - high endpoint of the keys in the returned map</dd><dd><code>toInclusive</code> - <code>true</code> if the high endpoint
        is to be included in the returned view</dd>
<dt><span class="strong">Returns:</span></dt><dd>a view of the portion of this map whose keys range from
         <code>fromKey</code> to <code>toKey</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code>java.lang.ClassCastException</code> - if <code>fromKey</code> and <code>toKey</code>
         cannot be compared to one another using this map's comparator
         (or, if the map has no comparator, using natural ordering).
         Implementations may, but are not required to, throw this
         exception if <code>fromKey</code> or <code>toKey</code>
         cannot be compared to keys currently in the map.</dd>
<dd><code>java.lang.NullPointerException</code> - if <code>fromKey</code> or <code>toKey</code>
         is null and this map does not permit null keys</dd>
<dd><code>java.lang.IllegalArgumentException</code> - if <code>fromKey</code> is greater than
         <code>toKey</code>; or if this map itself has a restricted
         range, and <code>fromKey</code> or <code>toKey</code> lies
         outside the bounds of the range</dd></dl>
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<pre><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a>&nbsp;headMap(java.lang.Object&nbsp;toKey,
                   boolean&nbsp;inclusive)</pre>
<div class="block"><strong>Description copied from interface:&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#headMap(java.lang.Object, boolean)">NavigableMap</a></code></strong></div>
<div class="block">Returns a view of the portion of this map whose keys are less than (or
 equal to, if <code>inclusive</code> is true) <code>toKey</code>.  The returned
 map is backed by this map, so changes in the returned map are reflected
 in this map, and vice-versa.  The returned map supports all optional
 map operations that this map supports.

 <p>The returned map will throw an <code>IllegalArgumentException</code>
 on an attempt to insert a key outside its range.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#headMap(java.lang.Object, boolean)">headMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>toKey</code> - high endpoint of the keys in the returned map</dd><dd><code>inclusive</code> - <code>true</code> if the high endpoint
        is to be included in the returned view</dd>
<dt><span class="strong">Returns:</span></dt><dd>a view of the portion of this map whose keys are less than
         (or equal to, if <code>inclusive</code> is true) <code>toKey</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code>java.lang.ClassCastException</code> - if <code>toKey</code> is not compatible
         with this map's comparator (or, if the map has no comparator,
         if <code>toKey</code> does not implement <code>Comparable</code>).
         Implementations may, but are not required to, throw this
         exception if <code>toKey</code> cannot be compared to keys
         currently in the map.</dd>
<dd><code>java.lang.NullPointerException</code> - if <code>toKey</code> is null
         and this map does not permit null keys</dd>
<dd><code>java.lang.IllegalArgumentException</code> - if this map itself has a
         restricted range, and <code>toKey</code> lies outside the
         bounds of the range</dd></dl>
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<pre><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a>&nbsp;tailMap(java.lang.Object&nbsp;fromKey,
                   boolean&nbsp;inclusive)</pre>
<div class="block"><strong>Description copied from interface:&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#tailMap(java.lang.Object, boolean)">NavigableMap</a></code></strong></div>
<div class="block">Returns a view of the portion of this map whose keys are greater than (or
 equal to, if <code>inclusive</code> is true) <code>fromKey</code>.  The returned
 map is backed by this map, so changes in the returned map are reflected
 in this map, and vice-versa.  The returned map supports all optional
 map operations that this map supports.

 <p>The returned map will throw an <code>IllegalArgumentException</code>
 on an attempt to insert a key outside its range.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#tailMap(java.lang.Object, boolean)">tailMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>fromKey</code> - low endpoint of the keys in the returned map</dd><dd><code>inclusive</code> - <code>true</code> if the low endpoint
        is to be included in the returned view</dd>
<dt><span class="strong">Returns:</span></dt><dd>a view of the portion of this map whose keys are greater than
         (or equal to, if <code>inclusive</code> is true) <code>fromKey</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code>java.lang.ClassCastException</code> - if <code>fromKey</code> is not compatible
         with this map's comparator (or, if the map has no comparator,
         if <code>fromKey</code> does not implement <code>Comparable</code>).
         Implementations may, but are not required to, throw this
         exception if <code>fromKey</code> cannot be compared to keys
         currently in the map.</dd>
<dd><code>java.lang.NullPointerException</code> - if <code>fromKey</code> is null
         and this map does not permit null keys</dd>
<dd><code>java.lang.IllegalArgumentException</code> - if this map itself has a
         restricted range, and <code>fromKey</code> lies outside the
         bounds of the range</dd></dl>
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<pre>java.util.SortedMap&nbsp;subMap(java.lang.Object&nbsp;fromKey,
                         java.lang.Object&nbsp;toKey)</pre>
<div class="block"><strong>Description copied from interface:&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#subMap(java.lang.Object, java.lang.Object)">NavigableMap</a></code></strong></div>
<div class="block">

 <p>Equivalent to <code>subMap(fromKey, true, toKey, false)</code>.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#subMap(java.lang.Object, java.lang.Object)">subMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><strong>Specified by:</strong></dt>
<dd><code>subMap</code>&nbsp;in interface&nbsp;<code>java.util.SortedMap</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code>java.lang.ClassCastException</code></dd>
<dd><code>java.lang.NullPointerException</code></dd>
<dd><code>java.lang.IllegalArgumentException</code></dd></dl>
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<h4>headMap</h4>
<pre>java.util.SortedMap&nbsp;headMap(java.lang.Object&nbsp;toKey)</pre>
<div class="block"><strong>Description copied from interface:&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#headMap(java.lang.Object)">NavigableMap</a></code></strong></div>
<div class="block">

 <p>Equivalent to <code>headMap(toKey, false)</code>.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#headMap(java.lang.Object)">headMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><strong>Specified by:</strong></dt>
<dd><code>headMap</code>&nbsp;in interface&nbsp;<code>java.util.SortedMap</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code>java.lang.ClassCastException</code></dd>
<dd><code>java.lang.NullPointerException</code></dd>
<dd><code>java.lang.IllegalArgumentException</code></dd></dl>
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<pre>java.util.SortedMap&nbsp;tailMap(java.lang.Object&nbsp;fromKey)</pre>
<div class="block"><strong>Description copied from interface:&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#tailMap(java.lang.Object)">NavigableMap</a></code></strong></div>
<div class="block">

 <p>Equivalent to <code>tailMap(fromKey, true)</code>.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#tailMap(java.lang.Object)">tailMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><strong>Specified by:</strong></dt>
<dd><code>tailMap</code>&nbsp;in interface&nbsp;<code>java.util.SortedMap</code></dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code>java.lang.ClassCastException</code></dd>
<dd><code>java.lang.NullPointerException</code></dd>
<dd><code>java.lang.IllegalArgumentException</code></dd></dl>
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<pre><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a>&nbsp;descendingMap()</pre>
<div class="block">Returns a reverse order view of the mappings contained in this map.
 The descending map is backed by this map, so changes to the map are
 reflected in the descending map, and vice-versa.

 <p>The returned map has an ordering equivalent to
 <tt><a href="../../../../../../../edu/emory/mathcs/backport/java/util/Collections.html#reverseOrder(java.util.Comparator)"><code>Collections.reverseOrder</code></a>(comparator())</tt>.
 The expression <code>m.descendingMap().descendingMap()</code> returns a
 view of <code>m</code> essentially equivalent to <code>m</code>.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#descendingMap()">descendingMap</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a reverse order view of this map</dd></dl>
</li>
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<pre><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableSet</a>&nbsp;navigableKeySet()</pre>
<div class="block">Returns a <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableSet</code></a> view of the keys contained in this map.
 The set's iterator returns the keys in ascending order.
 The set is backed by the map, so changes to the map are
 reflected in the set, and vice-versa.  The set supports element
 removal, which removes the corresponding mapping from the map,
 via the <code>Iterator.remove</code>, <code>Set.remove</code>,
 <code>removeAll</code>, <code>retainAll</code>, and <code>clear</code>
 operations.  It does not support the <code>add</code> or <code>addAll</code>
 operations.

 <p>The view's <code>iterator</code> is a "weakly consistent" iterator
 that will never throw <code>ConcurrentModificationException</code>,
 and guarantees to traverse elements as they existed upon
 construction of the iterator, and may (but is not guaranteed to)
 reflect any modifications subsequent to construction.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#navigableKeySet()">navigableKeySet</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a navigable set view of the keys in this map</dd></dl>
</li>
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<pre>java.util.Set&nbsp;keySet()</pre>
<div class="block">Returns a <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableSet</code></a> view of the keys contained in this map.
 The set's iterator returns the keys in ascending order.
 The set is backed by the map, so changes to the map are
 reflected in the set, and vice-versa.  The set supports element
 removal, which removes the corresponding mapping from the map,
 via the <code>Iterator.remove</code>, <code>Set.remove</code>,
 <code>removeAll</code>, <code>retainAll</code>, and <code>clear</code>
 operations.  It does not support the <code>add</code> or <code>addAll</code>
 operations.

 <p>The view's <code>iterator</code> is a "weakly consistent" iterator
 that will never throw <code>ConcurrentModificationException</code>,
 and guarantees to traverse elements as they existed upon
 construction of the iterator, and may (but is not guaranteed to)
 reflect any modifications subsequent to construction.

 <p>This method is equivalent to method <code>navigableKeySet</code>.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code>keySet</code>&nbsp;in interface&nbsp;<code>java.util.Map</code></dd>
<dt><strong>Specified by:</strong></dt>
<dd><code>keySet</code>&nbsp;in interface&nbsp;<code>java.util.SortedMap</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a navigable set view of the keys in this map</dd></dl>
</li>
</ul>
<a name="descendingKeySet()">
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<h4>descendingKeySet</h4>
<pre><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableSet</a>&nbsp;descendingKeySet()</pre>
<div class="block">Returns a reverse order <a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableSet.html" title="interface in edu.emory.mathcs.backport.java.util"><code>NavigableSet</code></a> view of the keys contained in this map.
 The set's iterator returns the keys in descending order.
 The set is backed by the map, so changes to the map are
 reflected in the set, and vice-versa.  The set supports element
 removal, which removes the corresponding mapping from the map,
 via the <code>Iterator.remove</code>, <code>Set.remove</code>,
 <code>removeAll</code>, <code>retainAll</code>, and <code>clear</code>
 operations.  It does not support the <code>add</code> or <code>addAll</code>
 operations.

 <p>The view's <code>iterator</code> is a "weakly consistent" iterator
 that will never throw <code>ConcurrentModificationException</code>,
 and guarantees to traverse elements as they existed upon
 construction of the iterator, and may (but is not guaranteed to)
 reflect any modifications subsequent to construction.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html#descendingKeySet()">descendingKeySet</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../edu/emory/mathcs/backport/java/util/NavigableMap.html" title="interface in edu.emory.mathcs.backport.java.util">NavigableMap</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a reverse order navigable set view of the keys in this map</dd></dl>
</li>
</ul>
</li>
</ul>
</li>
</ul>
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