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 <div class="subTitle">org.apache.calcite.util</div>
 <h2 title="类 Permutation" class="title">类 Permutation</h2>
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 <ul class="inheritance">
 <li><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="java.lang中的类或接口">java.lang.Object</a></li>
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 <li>org.apache.calcite.util.Permutation</li>
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 <dl>
 <dt>所有已实现的接口:</dt>
 <dd><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Iterable.html?is-external=true" title="java.lang中的类或接口">Iterable</a>&lt;<a href="../../../../org/apache/calcite/util/mapping/IntPair.html" title="org.apache.calcite.util.mapping中的类">IntPair</a>&gt;, <a href="../../../../org/apache/calcite/util/mapping/Mapping.html" title="org.apache.calcite.util.mapping中的接口">Mapping</a>, <a href="../../../../org/apache/calcite/util/mapping/Mappings.CoreMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.CoreMapping</a>, <a href="../../../../org/apache/calcite/util/mapping/Mappings.FunctionMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.FunctionMapping</a>, <a href="../../../../org/apache/calcite/util/mapping/Mappings.SourceMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.SourceMapping</a>, <a href="../../../../org/apache/calcite/util/mapping/Mappings.TargetMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.TargetMapping</a></dd>
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 <pre>public class <span class="typeNameLabel">Permutation</span>
 extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="java.lang中的类或接口">Object</a>
 implements <a href="../../../../org/apache/calcite/util/mapping/Mapping.html" title="org.apache.calcite.util.mapping中的接口">Mapping</a>, <a href="../../../../org/apache/calcite/util/mapping/Mappings.TargetMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.TargetMapping</a></pre>
 <div class="block">Represents a mapping which reorders elements in an array.</div>
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 </ul>
 </div>
 <div class="summary">
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 <h3>构造器概要</h3>
 <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="构造器概要表, 列表构造器和解释">
 <caption><span>构造器</span><span class="tabEnd">&nbsp;</span></caption>
 <tr>
 <th class="colOne" scope="col">构造器和说明</th>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#Permutation-int-">Permutation</a></span>(int&nbsp;size)</code>
 <div class="block">Creates a permutation of a given size.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#Permutation-int:A-">Permutation</a></span>(int[]&nbsp;targets)</code>
 <div class="block">Creates a permutation from an array.</div>
 </td>
 </tr>
 </table>
 </li>
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 <caption><span id="t0" class="activeTableTab"><span>所有方法</span><span class="tabEnd">&nbsp;</span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">实例方法</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">具体方法</a></span><span class="tabEnd">&nbsp;</span></span></caption>
 <tr>
 <th class="colFirst" scope="col">限定符和类型</th>
 <th class="colLast" scope="col">方法和说明</th>
 </tr>
 <tr id="i0" class="altColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#clear--">clear</a></span>()</code>
 <div class="block">Removes all elements in the mapping.</div>
 </td>
 </tr>
 <tr id="i1" class="rowColor">
 <td class="colFirst"><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="java.lang中的类或接口">Object</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#clone--">clone</a></span>()</code>&nbsp;</td>
 </tr>
 <tr id="i2" class="altColor">
 <td class="colFirst"><code>boolean</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#equals-java.lang.Object-">equals</a></span>(<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="java.lang中的类或接口">Object</a>&nbsp;obj)</code>&nbsp;</td>
 </tr>
 <tr id="i3" class="rowColor">
 <td class="colFirst"><code><a href="../../../../org/apache/calcite/util/mapping/MappingType.html" title="org.apache.calcite.util.mapping中的枚举">MappingType</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getMappingType--">getMappingType</a></span>()</code>
 <div class="block">Returns the mapping type.</div>
 </td>
 </tr>
 <tr id="i4" class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getSource-int-">getSource</a></span>(int&nbsp;target)</code>
 <div class="block">Returns the position which maps to <code>target</code>.</div>
 </td>
 </tr>
 <tr id="i5" class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getSourceCount--">getSourceCount</a></span>()</code>
 <div class="block">Returns the number of sources.</div>
 </td>
 </tr>
 <tr id="i6" class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getSourceOpt-int-">getSourceOpt</a></span>(int&nbsp;target)</code>&nbsp;</td>
 </tr>
 <tr id="i7" class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getTarget-int-">getTarget</a></span>(int&nbsp;source)</code>
 <div class="block">Returns the position that <code>source</code> is mapped to.</div>
 </td>
 </tr>
 <tr id="i8" class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getTargetCount--">getTargetCount</a></span>()</code>
 <div class="block">Returns the number of targets.</div>
 </td>
 </tr>
 <tr id="i9" class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#getTargetOpt-int-">getTargetOpt</a></span>(int&nbsp;source)</code>
 <div class="block">Returns the target that a source maps to, or -1 if it is not mapped.</div>
 </td>
 </tr>
 <tr id="i10" class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#hashCode--">hashCode</a></span>()</code>&nbsp;</td>
 </tr>
 <tr id="i11" class="rowColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#identity--">identity</a></span>()</code>
 <div class="block">Initializes this permutation to the identity permutation.</div>
 </td>
 </tr>
 <tr id="i12" class="altColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#insertSource-int-">insertSource</a></span>(int&nbsp;x)</code>
 <div class="block">Inserts into the sources.</div>
 </td>
 </tr>
 <tr id="i13" class="rowColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#insertTarget-int-">insertTarget</a></span>(int&nbsp;x)</code>
 <div class="block">Inserts into the targets.</div>
 </td>
 </tr>
 <tr id="i14" class="altColor">
 <td class="colFirst"><code><a href="../../../../org/apache/calcite/util/Permutation.html" title="org.apache.calcite.util中的类">Permutation</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#inverse--">inverse</a></span>()</code>
 <div class="block">Returns the inverse permutation.</div>
 </td>
 </tr>
 <tr id="i15" class="rowColor">
 <td class="colFirst"><code>boolean</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#isIdentity--">isIdentity</a></span>()</code>
 <div class="block">Returns whether this is the identity permutation.</div>
 </td>
 </tr>
 <tr id="i16" class="altColor">
 <td class="colFirst"><code><a href="https://docs.oracle.com/javase/8/docs/api/java/util/Iterator.html?is-external=true" title="java.util中的类或接口">Iterator</a>&lt;<a href="../../../../org/apache/calcite/util/mapping/IntPair.html" title="org.apache.calcite.util.mapping中的类">IntPair</a>&gt;</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#iterator--">iterator</a></span>()</code>
 <div class="block">Returns an iterator over the elements in this mapping.</div>
 </td>
 </tr>
 <tr id="i17" class="rowColor">
 <td class="colFirst"><code><a href="../../../../org/apache/calcite/util/Permutation.html" title="org.apache.calcite.util中的类">Permutation</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#product-org.apache.calcite.util.Permutation-">product</a></span>(<a href="../../../../org/apache/calcite/util/Permutation.html" title="org.apache.calcite.util中的类">Permutation</a>&nbsp;permutation)</code>
 <div class="block">Returns the product of this Permutation with a given Permutation.</div>
 </td>
 </tr>
 <tr id="i18" class="altColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#set-int-int-">set</a></span>(int&nbsp;source,
    int&nbsp;target)</code>
 <div class="block">Maps source position to target position.</div>
 </td>
 </tr>
 <tr id="i19" class="rowColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#set-int-int-boolean-">set</a></span>(int&nbsp;source,
    int&nbsp;target,
    boolean&nbsp;allowResize)</code>
 <div class="block">Maps source position to target position, automatically resizing if source
  or target is out of bounds.</div>
 </td>
 </tr>
 <tr id="i20" class="altColor">
 <td class="colFirst"><code>void</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#setAll-org.apache.calcite.util.mapping.Mapping-">setAll</a></span>(<a href="../../../../org/apache/calcite/util/mapping/Mapping.html" title="org.apache.calcite.util.mapping中的接口">Mapping</a>&nbsp;mapping)</code>&nbsp;</td>
 </tr>
 <tr id="i21" class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#size--">size</a></span>()</code>
 <div class="block">Returns the number of elements in this permutation.</div>
 </td>
 </tr>
 <tr id="i22" class="altColor">
 <td class="colFirst"><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/String.html?is-external=true" title="java.lang中的类或接口">String</a></code></td>
 <td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/apache/calcite/util/Permutation.html#toString--">toString</a></span>()</code>
 <div class="block">Returns a string representation of this permutation.</div>
 </td>
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 <code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#finalize--" title="java.lang中的类或接口">finalize</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#getClass--" title="java.lang中的类或接口">getClass</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notify--" title="java.lang中的类或接口">notify</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notifyAll--" title="java.lang中的类或接口">notifyAll</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait--" title="java.lang中的类或接口">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait-long-" title="java.lang中的类或接口">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait-long-int-" title="java.lang中的类或接口">wait</a></code></li>
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 <code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Iterable.html?is-external=true#forEach-java.util.function.Consumer-" title="java.lang中的类或接口">forEach</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Iterable.html?is-external=true#spliterator--" title="java.lang中的类或接口">spliterator</a></code></li>
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 <h3>构造器详细资料</h3>
 <a name="Permutation-int-">
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 <h4>Permutation</h4>
 <pre>public&nbsp;Permutation(int&nbsp;size)</pre>
 <div class="block">Creates a permutation of a given size.

  <p>It is initialized to the identity permutation, such as "[0, 1, 2, 3]".</div>
 <dl>
 <dt><span class="paramLabel">参数:</span></dt>
 <dd><code>size</code> - Number of elements in the permutation</dd>
 </dl>
 </li>
 </ul>
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 <h4>Permutation</h4>
 <pre>public&nbsp;Permutation(int[]&nbsp;targets)</pre>
 <div class="block">Creates a permutation from an array.</div>
 <dl>
 <dt><span class="paramLabel">参数:</span></dt>
 <dd><code>targets</code> - Array of targets</dd>
 <dt><span class="throwsLabel">抛出:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="java.lang中的类或接口">IllegalArgumentException</a></code> - if elements of array are not unique</dd>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/ArrayIndexOutOfBoundsException.html?is-external=true" title="java.lang中的类或接口">ArrayIndexOutOfBoundsException</a></code> - if elements of array are not
                                         between 0 through targets.length - 1
                                         inclusive</dd>
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 <h4>clone</h4>
 <pre>public&nbsp;<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="java.lang中的类或接口">Object</a>&nbsp;clone()</pre>
 <dl>
 <dt><span class="overrideSpecifyLabel">覆盖:</span></dt>
 <dd><code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#clone--" title="java.lang中的类或接口">clone</a></code>&nbsp;在类中&nbsp;<code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="java.lang中的类或接口">Object</a></code></dd>
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 <h4>identity</h4>
 <pre>public&nbsp;void&nbsp;identity()</pre>
 <div class="block">Initializes this permutation to the identity permutation.</div>
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 <h4>size</h4>
 <pre>public final&nbsp;int&nbsp;size()</pre>
 <div class="block">Returns the number of elements in this permutation.</div>
 <dl>
 <dt><span class="overrideSpecifyLabel">指定者:</span></dt>
 <dd><code><a href="../../../../org/apache/calcite/util/mapping/Mapping.html#size--">size</a></code>&nbsp;在接口中&nbsp;<code><a href="../../../../org/apache/calcite/util/mapping/Mapping.html" title="org.apache.calcite.util.mapping中的接口">Mapping</a></code></dd>
 <dt><span class="overrideSpecifyLabel">指定者:</span></dt>
 <dd><code><a href="../../../../org/apache/calcite/util/mapping/Mappings.CoreMapping.html#size--">size</a></code>&nbsp;在接口中&nbsp;<code><a href="../../../../org/apache/calcite/util/mapping/Mappings.CoreMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.CoreMapping</a></code></dd>
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 <h4>clear</h4>
 <pre>public&nbsp;void&nbsp;clear()</pre>
 <div class="block"><span class="descfrmTypeLabel">从接口复制的说明:&nbsp;<code><a href="../../../../org/apache/calcite/util/mapping/Mapping.html#clear--">Mapping</a></code></span></div>
 <div class="block">Removes all elements in the mapping.</div>
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  <p>For example, the mapping

  <table>
  <caption>Example mapping</caption>
  <tr>
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  <th>target</th>
  </tr>
  <tr>
  <td>0</td>
  <td>2</td>
  </tr>
  <tr>
  <td>1</td>
  <td>0</td>
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  <tr>
  <td>2</td>
  <td>1</td>
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  <p>To preserve the 1:1 nature of the permutation, the previous target of
  source becomes the new target of the previous source.

  <p>For example, given the permutation

  <blockquote><pre>[3, 2, 0, 1]</pre></blockquote>

  <p>suppose we map position 2 to target 1. Position 2 currently has target
  0, and the source of position 1 is position 3. We preserve the permutation
  property by mapping the previous source 3 to the previous target 0. The new
  permutation is

  <blockquote><pre>[3, 2, 1, 0].</pre></blockquote>

  <p>Another example. Again starting from

  <blockquote><pre>[3, 2, 0, 1]</pre></blockquote>

  <p>suppose we map position 2 to target 3. We map the previous source 0 to
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  <blockquote><pre>[0, 2, 3, 1].</pre></blockquote></div>
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  <p>To preserve the 1:1 nature of the permutation, the previous target of
  source becomes the new target of the previous source.

  <p>For example, given the permutation

  <blockquote><pre>[3, 2, 0, 1]</pre></blockquote>

  <p>suppose we map position 2 to target 1. Position 2 currently has target
  0, and the source of position 1 is position 3. We preserve the permutation
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  permutation is

  <blockquote><pre>[3, 2, 1, 0].</pre></blockquote>

  <p>Another example. Again starting from

  <blockquote><pre>[3, 2, 0, 1]</pre></blockquote>

  <p>suppose we map position 2 to target 3. We map the previous source 0 to
  the previous target 0, which gives

  <blockquote><pre>[0, 2, 3, 1].</pre></blockquote></div>
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  <p>For example, consider the permutation</p>

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  <tr>
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  <td>0</td>
  <td>1</td>
  <td>2</td>
  <td>3</td>
  <td>4</td>
  </tr>
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  <td>target</td>
  <td>3</td>
  <td>0</td>
  <td>4</td>
  <td>2</td>
  <td>1</td>
  </tr>
  </table>

  <p>After applying <code>insertTarget(2)</code> every target 2 or higher is
  shifted up one.</p>

  <table border="1">
  <caption>Mapping after applying insertTarget(2)</caption>
  <tr>
  <td>source</td>
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  <td>1</td>
  <td>2</td>
  <td>3</td>
  <td>4</td>
  <td>5</td>
  </tr>
  <tr>
  <td>target</td>
  <td>4</td>
  <td>0</td>
  <td>5</td>
  <td>3</td>
  <td>1</td>
  <td>2</td>
  </tr>
  </table>

  <p>Note that the array has been extended to accommodate the new target, and
  the previously unmapped source 5 is mapped to the unused target slot 2.</p></div>
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 <dd><code><a href="../../../../org/apache/calcite/util/mapping/Mappings.TargetMapping.html#getSourceOpt-int-">getSourceOpt</a></code>&nbsp;在接口中&nbsp;<code><a href="../../../../org/apache/calcite/util/mapping/Mappings.TargetMapping.html" title="org.apache.calcite.util.mapping中的接口">Mappings.TargetMapping</a></code></dd>
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 <pre>public&nbsp;void&nbsp;setAll(<a href="../../../../org/apache/calcite/util/mapping/Mapping.html" title="org.apache.calcite.util.mapping中的接口">Mapping</a>&nbsp;mapping)</pre>
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 <pre>public&nbsp;<a href="../../../../org/apache/calcite/util/Permutation.html" title="org.apache.calcite.util中的类">Permutation</a>&nbsp;product(<a href="../../../../org/apache/calcite/util/Permutation.html" title="org.apache.calcite.util中的类">Permutation</a>&nbsp;permutation)</pre>
 <div class="block">Returns the product of this Permutation with a given Permutation. Does
  not modify this Permutation or <code>permutation</code>.

  <p>For example, perm.product(perm.inverse()) yields the identity.</div>
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