| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <!-- Generated by javadoc --> |
| <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> |
| <title>RegionPlacementMaintainer.RandomizedMatrix (Apache HBase 4.0.0-alpha-1-SNAPSHOT API)</title> |
| <link rel="stylesheet" type="text/css" href="../../../../../stylesheet.css" title="Style"> |
| <script type="text/javascript" src="../../../../../script.js"></script> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| try { |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="RegionPlacementMaintainer.RandomizedMatrix (Apache HBase 4.0.0-alpha-1-SNAPSHOT API)"; |
| } |
| } |
| catch(err) { |
| } |
| //--> |
| var methods = {"i0":10,"i1":10,"i2":10}; |
| var tabs = {65535:["t0","All Methods"],2:["t2","Instance Methods"],8:["t4","Concrete Methods"]}; |
| var altColor = "altColor"; |
| var rowColor = "rowColor"; |
| var tableTab = "tableTab"; |
| var activeTableTab = "activeTableTab"; |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar.top"> |
| <!-- --> |
| </a> |
| <div class="skipNav"><a href="#skip.navbar.top" title="Skip navigation links">Skip navigation links</a></div> |
| <a name="navbar.top.firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/RegionPlacementMaintainer.RandomizedMatrix.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../help-doc.html">Help</a></li> |
| </ul> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.html" title="class in org.apache.hadoop.hbase.master"><span class="typeNameLink">Prev Class</span></a></li> |
| <li><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlan.html" title="class in org.apache.hadoop.hbase.master"><span class="typeNameLink">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html" target="_top">Frames</a></li> |
| <li><a href="RegionPlacementMaintainer.RandomizedMatrix.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li><a href="#field.summary">Field</a> | </li> |
| <li><a href="#constructor.summary">Constr</a> | </li> |
| <li><a href="#method.summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li><a href="#field.detail">Field</a> | </li> |
| <li><a href="#constructor.detail">Constr</a> | </li> |
| <li><a href="#method.detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip.navbar.top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <!-- ======== START OF CLASS DATA ======== --> |
| <div class="header"> |
| <div class="subTitle">org.apache.hadoop.hbase.master</div> |
| <h2 title="Class RegionPlacementMaintainer.RandomizedMatrix" class="title">Class RegionPlacementMaintainer.RandomizedMatrix</h2> |
| </div> |
| <div class="contentContainer"> |
| <ul class="inheritance"> |
| <li><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.hadoop.hbase.master.RegionPlacementMaintainer.RandomizedMatrix</li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <dl> |
| <dt>Enclosing class:</dt> |
| <dd><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.html" title="class in org.apache.hadoop.hbase.master">RegionPlacementMaintainer</a></dd> |
| </dl> |
| <hr> |
| <br> |
| <pre>protected static class <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.html#line.482">RegionPlacementMaintainer.RandomizedMatrix</a> |
| extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre> |
| <div class="block">Some algorithms for solving the assignment problem may traverse workers or jobs in linear order |
| which may result in skewing the assignments of the first jobs in the matrix toward the last |
| workers in the matrix if the costs are uniform. To avoid this kind of clumping, we can |
| randomize the rows and columns of the cost matrix in a reversible way, such that the solution |
| to the assignment problem can be interpreted in terms of the original untransformed cost |
| matrix. Rows and columns are transformed independently such that the elements contained in any |
| row of the input matrix are the same as the elements in the corresponding output matrix, and |
| each row has its elements transformed in the same way. Similarly for columns.</div> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- =========== FIELD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="field.summary"> |
| <!-- --> |
| </a> |
| <h3>Field Summary</h3> |
| <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation"> |
| <caption><span>Fields</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Field and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>private int[]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#colInverse">colInverse</a></span></code> </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>private int</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#cols">cols</a></span></code> </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>private int[]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#colTransform">colTransform</a></span></code> </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>private int[]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#rowInverse">rowInverse</a></span></code> </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>private int</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#rows">rows</a></span></code> </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>private int[]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#rowTransform">rowTransform</a></span></code> </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor.summary"> |
| <!-- --> |
| </a> |
| <h3>Constructor Summary</h3> |
| <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colOne" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#RandomizedMatrix-int-int-">RandomizedMatrix</a></span>(int rows, |
| int cols)</code> |
| <div class="block">Create a randomization scheme for a matrix of a given size.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== METHOD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method.summary"> |
| <!-- --> |
| </a> |
| <h3>Method Summary</h3> |
| <table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> |
| <caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd"> </span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">Instance Methods</a></span><span class="tabEnd"> </span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd"> </span></span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Method and Description</th> |
| </tr> |
| <tr id="i0" class="altColor"> |
| <td class="colFirst"><code>float[][]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#invert-float:A:A-">invert</a></span>(float[][] matrix)</code> |
| <div class="block">Copy a given matrix into a new matrix, transforming each row index and each column index |
| according to the inverse of the randomization scheme that was created at construction time.</div> |
| </td> |
| </tr> |
| <tr id="i1" class="rowColor"> |
| <td class="colFirst"><code>int[]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#invertIndices-int:A-">invertIndices</a></span>(int[] indices)</code> |
| <div class="block">Given an array where each element <code>indices[i]</code> represents the randomized column index |
| corresponding to randomized row index <code>i</code>, create a new array with the corresponding |
| inverted indices.</div> |
| </td> |
| </tr> |
| <tr id="i2" class="altColor"> |
| <td class="colFirst"><code>float[][]</code></td> |
| <td class="colLast"><code><span class="memberNameLink"><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#transform-float:A:A-">transform</a></span>(float[][] matrix)</code> |
| <div class="block">Copy a given matrix into a new matrix, transforming each row index and each column index |
| according to the randomization scheme that was created at construction time.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods.inherited.from.class.java.lang.Object"> |
| <!-- --> |
| </a> |
| <h3>Methods inherited from class java.lang.<a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> |
| <code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#clone--" title="class or interface in java.lang">clone</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#equals-java.lang.Object-" title="class or interface in java.lang">equals</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#finalize--" title="class or interface in java.lang">finalize</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#getClass--" title="class or interface in java.lang">getClass</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#hashCode--" title="class or interface in java.lang">hashCode</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notify--" title="class or interface in java.lang">notify</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notifyAll--" title="class or interface in java.lang">notifyAll</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#toString--" title="class or interface in java.lang">toString</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait--" title="class or interface in java.lang">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait-long-" title="class or interface in java.lang">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait-long-int-" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ============ FIELD DETAIL =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="field.detail"> |
| <!-- --> |
| </a> |
| <h3>Field Detail</h3> |
| <a name="rows"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>rows</h4> |
| <pre>private final int <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.483">rows</a></pre> |
| </li> |
| </ul> |
| <a name="cols"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>cols</h4> |
| <pre>private final int <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.484">cols</a></pre> |
| </li> |
| </ul> |
| <a name="rowTransform"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>rowTransform</h4> |
| <pre>private final int[] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.485">rowTransform</a></pre> |
| </li> |
| </ul> |
| <a name="rowInverse"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>rowInverse</h4> |
| <pre>private final int[] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.486">rowInverse</a></pre> |
| </li> |
| </ul> |
| <a name="colTransform"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>colTransform</h4> |
| <pre>private final int[] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.487">colTransform</a></pre> |
| </li> |
| </ul> |
| <a name="colInverse"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>colInverse</h4> |
| <pre>private final int[] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.488">colInverse</a></pre> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor.detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="RandomizedMatrix-int-int-"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>RandomizedMatrix</h4> |
| <pre>public <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.495">RandomizedMatrix</a>(int rows, |
| int cols)</pre> |
| <div class="block">Create a randomization scheme for a matrix of a given size.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>rows</code> - the number of rows in the matrix</dd> |
| <dd><code>cols</code> - the number of columns in the matrix</dd> |
| </dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method.detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="transform-float:A:A-"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>transform</h4> |
| <pre>public float[][] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.540">transform</a>(float[][] matrix)</pre> |
| <div class="block">Copy a given matrix into a new matrix, transforming each row index and each column index |
| according to the randomization scheme that was created at construction time.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>matrix</code> - the cost matrix to transform</dd> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>a new matrix with row and column indices transformed</dd> |
| </dl> |
| </li> |
| </ul> |
| <a name="invert-float:A:A-"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>invert</h4> |
| <pre>public float[][] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.556">invert</a>(float[][] matrix)</pre> |
| <div class="block">Copy a given matrix into a new matrix, transforming each row index and each column index |
| according to the inverse of the randomization scheme that was created at construction time.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>matrix</code> - the cost matrix to be inverted</dd> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>a new matrix with row and column indices inverted</dd> |
| </dl> |
| </li> |
| </ul> |
| <a name="invertIndices-int:A-"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>invertIndices</h4> |
| <pre>public int[] <a href="../../../../../src-html/org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html#line.573">invertIndices</a>(int[] indices)</pre> |
| <div class="block">Given an array where each element <code>indices[i]</code> represents the randomized column index |
| corresponding to randomized row index <code>i</code>, create a new array with the corresponding |
| inverted indices.</div> |
| <dl> |
| <dt><span class="paramLabel">Parameters:</span></dt> |
| <dd><code>indices</code> - an array of transformed indices to be inverted</dd> |
| <dt><span class="returnLabel">Returns:</span></dt> |
| <dd>an array of inverted indices</dd> |
| </dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| </div> |
| <!-- ========= END OF CLASS DATA ========= --> |
| <!-- ======= START OF BOTTOM NAVBAR ====== --> |
| <div class="bottomNav"><a name="navbar.bottom"> |
| <!-- --> |
| </a> |
| <div class="skipNav"><a href="#skip.navbar.bottom" title="Skip navigation links">Skip navigation links</a></div> |
| <a name="navbar.bottom.firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/RegionPlacementMaintainer.RandomizedMatrix.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../help-doc.html">Help</a></li> |
| </ul> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlacementMaintainer.html" title="class in org.apache.hadoop.hbase.master"><span class="typeNameLink">Prev Class</span></a></li> |
| <li><a href="../../../../../org/apache/hadoop/hbase/master/RegionPlan.html" title="class in org.apache.hadoop.hbase.master"><span class="typeNameLink">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/hadoop/hbase/master/RegionPlacementMaintainer.RandomizedMatrix.html" target="_top">Frames</a></li> |
| <li><a href="RegionPlacementMaintainer.RandomizedMatrix.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_bottom"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_bottom"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li><a href="#field.summary">Field</a> | </li> |
| <li><a href="#constructor.summary">Constr</a> | </li> |
| <li><a href="#method.summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li><a href="#field.detail">Field</a> | </li> |
| <li><a href="#constructor.detail">Constr</a> | </li> |
| <li><a href="#method.detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip.navbar.bottom"> |
| <!-- --> |
| </a></div> |
| <!-- ======== END OF BOTTOM NAVBAR ======= --> |
| <p class="legalCopy"><small>Copyright © 2007–2020 <a href="https://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |
