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-    <h1>Hadoop Compatibility <span class="badge">Beta</span></h1>
-
-
-
-<p>Flink is compatible with Apache Hadoop MapReduce interfaces and therefore 
allows
-reusing code that was implemented for Hadoop MapReduce.</p>
-
-<p>You can:</p>
-
-<ul>
-  <li>use Hadoop’s <code>Writable</code> <a 
href="programming_guide.html#data-types">data types</a> in Flink programs.</li>
-  <li>use any Hadoop <code>InputFormat</code> as a <a 
href="programming_guide.html#data-sources">DataSource</a>.</li>
-  <li>use any Hadoop <code>OutputFormat</code> as a <a 
href="programming_guide.html#data-sinks">DataSink</a>.</li>
-  <li>use a Hadoop <code>Mapper</code> as <a 
href="dataset_transformations.html#flatmap">FlatMapFunction</a>.</li>
-  <li>use a Hadoop <code>Reducer</code> as <a 
href="dataset_transformations.html#groupreduce-on-grouped-dataset">GroupReduceFunction</a>.</li>
-</ul>
-
-<p>This document shows how to use existing Hadoop MapReduce code with Flink. 
Please refer to the
-<a href="example_connectors.html">Connecting to other systems</a> guide for 
reading from Hadoop supported file systems.</p>
-
-<ul id="markdown-toc">
-  <li><a href="#project-configuration" 
id="markdown-toc-project-configuration">Project Configuration</a></li>
-  <li><a href="#using-hadoop-data-types" 
id="markdown-toc-using-hadoop-data-types">Using Hadoop Data Types</a></li>
-  <li><a href="#using-hadoop-inputformats" 
id="markdown-toc-using-hadoop-inputformats">Using Hadoop InputFormats</a></li>
-  <li><a href="#using-hadoop-outputformats" 
id="markdown-toc-using-hadoop-outputformats">Using Hadoop OutputFormats</a></li>
-  <li><a href="#using-hadoop-mappers-and-reducers" 
id="markdown-toc-using-hadoop-mappers-and-reducers">Using Hadoop Mappers and 
Reducers</a></li>
-  <li><a href="#complete-hadoop-wordcount-example" 
id="markdown-toc-complete-hadoop-wordcount-example">Complete Hadoop WordCount 
Example</a></li>
-</ul>
-
-<h3 id="project-configuration">Project Configuration</h3>
-
-<p>Support for Haddop input/output formats is part of the 
<code>flink-java</code> and
-<code>flink-scala</code> Maven modules that are always required when writing 
Flink jobs.
-The code is located in <code>org.apache.flink.api.java.hadoop</code> and
-<code>org.apache.flink.api.scala.hadoop</code> in an additional sub-package 
for the
-<code>mapred</code> and <code>mapreduce</code> API.</p>
-
-<p>Support for Hadoop Mappers and Reducers is contained in the 
<code>flink-staging</code>
-Maven module.
-This code resides in the <code>org.apache.flink.hadoopcompatibility</code>
-package.</p>
-
-<p>Add the following dependency to your <code>pom.xml</code> if you want to 
reuse Mappers
-and Reducers.</p>
-
-<div class="highlight"><pre><code class="language-xml"><span 
class="nt">&lt;dependency&gt;</span>
-       <span class="nt">&lt;groupId&gt;</span>org.apache.flink<span 
class="nt">&lt;/groupId&gt;</span>
-       <span 
class="nt">&lt;artifactId&gt;</span>flink-hadoop-compatibility<span 
class="nt">&lt;/artifactId&gt;</span>
-       <span class="nt">&lt;version&gt;</span>0.9.0<span 
class="nt">&lt;/version&gt;</span>
-<span class="nt">&lt;/dependency&gt;</span></code></pre></div>
-
-<h3 id="using-hadoop-data-types">Using Hadoop Data Types</h3>
-
-<p>Flink supports all Hadoop <code>Writable</code> and 
<code>WritableComparable</code> data types
-out-of-the-box. You do not need to include the Hadoop Compatibility dependency,
-if you only want to use your Hadoop data types. See the
-<a href="programming_guide.html#data-types">Programming Guide</a> for more 
details.</p>
-
-<h3 id="using-hadoop-inputformats">Using Hadoop InputFormats</h3>
-
-<p>Hadoop input formats can be used to create a data source by using
-one of the methods <code>readHadoopFile</code> or 
<code>createHadoopInput</code> of the
-<code>ExecutionEnvironment</code>. The former is used for input formats derived
-from <code>FileInputFormat</code> while the latter has to be used for general 
purpose
-input formats.</p>
-
-<p>The resulting <code>DataSet</code> contains 2-tuples where the first field
-is the key and the second field is the value retrieved from the Hadoop
-InputFormat.</p>
-
-<p>The following example shows how to use Hadoop’s 
<code>TextInputFormat</code>.</p>
-
-<div class="codetabs">
-  <div data-lang="java">
-
-    <div class="highlight"><pre><code class="language-java"><span 
class="n">ExecutionEnvironment</span> <span class="n">env</span> <span 
class="o">=</span> <span class="n">ExecutionEnvironment</span><span 
class="o">.</span><span class="na">getExecutionEnvironment</span><span 
class="o">();</span>
-
-<span class="n">DataSet</span><span class="o">&lt;</span><span 
class="n">Tuple2</span><span class="o">&lt;</span><span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">&gt;&gt;</span> <span 
class="n">input</span> <span class="o">=</span>
-    <span class="n">env</span><span class="o">.</span><span 
class="na">readHadoopFile</span><span class="o">(</span><span 
class="k">new</span> <span class="nf">TextInputFormat</span><span 
class="o">(),</span> <span class="n">LongWritable</span><span 
class="o">.</span><span class="na">class</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">.</span><span class="na">class</span><span 
class="o">,</span> <span class="n">textPath</span><span class="o">);</span>
-
-<span class="c1">// Do something with the data.</span>
-<span class="o">[...]</span></code></pre></div>
-
-  </div>
-  <div data-lang="scala">
-
-    <div class="highlight"><pre><code class="language-scala"><span 
class="k">val</span> <span class="n">env</span> <span class="k">=</span> <span 
class="nc">ExecutionEnvironment</span><span class="o">.</span><span 
class="n">getExecutionEnvironment</span>
-               
-<span class="k">val</span> <span class="n">input</span><span 
class="k">:</span> <span class="kt">DataSet</span><span 
class="o">[(</span><span class="kt">LongWritable</span>, <span 
class="kt">Text</span><span class="o">)]</span> <span class="k">=</span>
-  <span class="n">env</span><span class="o">.</span><span 
class="n">readHadoopFile</span><span class="o">(</span><span 
class="k">new</span> <span class="nc">TextInputFormat</span><span 
class="o">,</span> <span class="n">classOf</span><span class="o">[</span><span 
class="kt">LongWritable</span><span class="o">],</span> <span 
class="n">classOf</span><span class="o">[</span><span 
class="kt">Text</span><span class="o">],</span> <span 
class="n">textPath</span><span class="o">)</span>
-
-<span class="c1">// Do something with the data.</span>
-<span class="o">[</span><span class="kt">...</span><span 
class="o">]</span></code></pre></div>
-
-  </div>
-
-</div>
-
-<h3 id="using-hadoop-outputformats">Using Hadoop OutputFormats</h3>
-
-<p>Flink provides a compatibility wrapper for Hadoop 
<code>OutputFormats</code>. Any class
-that implements <code>org.apache.hadoop.mapred.OutputFormat</code> or extends
-<code>org.apache.hadoop.mapreduce.OutputFormat</code> is supported.
-The OutputFormat wrapper expects its input data to be a DataSet containing
-2-tuples of key and value. These are to be processed by the Hadoop 
OutputFormat.</p>
-
-<p>The following example shows how to use Hadoop’s 
<code>TextOutputFormat</code>.</p>
-
-<div class="codetabs">
-  <div data-lang="java">
-
-    <div class="highlight"><pre><code class="language-java"><span 
class="c1">// Obtain the result we want to emit</span>
-<span class="n">DataSet</span><span class="o">&lt;</span><span 
class="n">Tuple2</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;&gt;</span> <span 
class="n">hadoopResult</span> <span class="o">=</span> <span 
class="o">[...]</span>
-               
-<span class="c1">// Set up the Hadoop TextOutputFormat.</span>
-<span class="n">HadoopOutputFormat</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;</span> <span 
class="n">hadoopOF</span> <span class="o">=</span> 
-  <span class="c1">// create the Flink wrapper.</span>
-  <span class="k">new</span> <span class="n">HadoopOutputFormat</span><span 
class="o">&lt;</span><span class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;(</span>
-    <span class="c1">// set the Hadoop OutputFormat and specify the job.</span>
-    <span class="k">new</span> <span class="n">TextOutputFormat</span><span 
class="o">&lt;</span><span class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;(),</span> <span 
class="n">job</span>
-  <span class="o">);</span>
-<span class="n">hadoopOF</span><span class="o">.</span><span 
class="na">getConfiguration</span><span class="o">().</span><span 
class="na">set</span><span class="o">(</span><span 
class="s">&quot;mapreduce.output.textoutputformat.separator&quot;</span><span 
class="o">,</span> <span class="s">&quot; &quot;</span><span class="o">);</span>
-<span class="n">TextOutputFormat</span><span class="o">.</span><span 
class="na">setOutputPath</span><span class="o">(</span><span 
class="n">job</span><span class="o">,</span> <span class="k">new</span> <span 
class="nf">Path</span><span class="o">(</span><span 
class="n">outputPath</span><span class="o">));</span>
-               
-<span class="c1">// Emit data using the Hadoop TextOutputFormat.</span>
-<span class="n">hadoopResult</span><span class="o">.</span><span 
class="na">output</span><span class="o">(</span><span 
class="n">hadoopOF</span><span class="o">);</span></code></pre></div>
-
-  </div>
-  <div data-lang="scala">
-
-    <div class="highlight"><pre><code class="language-scala"><span 
class="c1">// Obtain your result to emit.</span>
-<span class="k">val</span> <span class="n">hadoopResult</span><span 
class="k">:</span> <span class="kt">DataSet</span><span 
class="o">[(</span><span class="kt">Text</span>, <span 
class="kt">IntWritable</span><span class="o">)]</span> <span class="k">=</span> 
<span class="o">[</span><span class="kt">...</span><span class="o">]</span>
-
-<span class="k">val</span> <span class="n">hadoopOF</span> <span 
class="k">=</span> <span class="k">new</span> <span 
class="nc">HadoopOutputFormat</span><span class="o">[</span><span 
class="kt">Text</span>,<span class="kt">IntWritable</span><span 
class="o">](</span>
-  <span class="k">new</span> <span class="nc">TextOutputFormat</span><span 
class="o">[</span><span class="kt">Text</span>, <span 
class="kt">IntWritable</span><span class="o">],</span>
-  <span class="k">new</span> <span class="nc">JobConf</span><span 
class="o">)</span>
-
-<span class="n">hadoopOF</span><span class="o">.</span><span 
class="n">getJobConf</span><span class="o">.</span><span 
class="n">set</span><span class="o">(</span><span 
class="s">&quot;mapred.textoutputformat.separator&quot;</span><span 
class="o">,</span> <span class="s">&quot; &quot;</span><span class="o">)</span>
-<span class="nc">FileOutputFormat</span><span class="o">.</span><span 
class="n">setOutputPath</span><span class="o">(</span><span 
class="n">hadoopOF</span><span class="o">.</span><span 
class="n">getJobConf</span><span class="o">,</span> <span class="k">new</span> 
<span class="nc">Path</span><span class="o">(</span><span 
class="n">resultPath</span><span class="o">))</span>
-
-<span class="n">hadoopResult</span><span class="o">.</span><span 
class="n">output</span><span class="o">(</span><span 
class="n">hadoopOF</span><span class="o">)</span></code></pre></div>
-
-  </div>
-
-</div>
-
-<h3 id="using-hadoop-mappers-and-reducers">Using Hadoop Mappers and 
Reducers</h3>
-
-<p>Hadoop Mappers are semantically equivalent to Flink’s <a 
href="dataset_transformations.html#flatmap">FlatMapFunctions</a> and Hadoop 
Reducers are equivalent to Flink’s <a 
href="dataset_transformations.html#groupreduce-on-grouped-dataset">GroupReduceFunctions</a>.
 Flink provides wrappers for implementations of Hadoop MapReduce’s 
<code>Mapper</code> and <code>Reducer</code> interfaces, i.e., you can reuse 
your Hadoop Mappers and Reducers in regular Flink programs. At the moment, only 
the Mapper and Reduce interfaces of Hadoop’s mapred API 
(<code>org.apache.hadoop.mapred</code>) are supported.</p>
-
-<p>The wrappers take a <code>DataSet&lt;Tuple2&lt;KEYIN,VALUEIN&gt;&gt;</code> 
as input and produce a 
<code>DataSet&lt;Tuple2&lt;KEYOUT,VALUEOUT&gt;&gt;</code> as output where 
<code>KEYIN</code> and <code>KEYOUT</code> are the keys and 
<code>VALUEIN</code> and <code>VALUEOUT</code> are the values of the Hadoop 
key-value pairs that are processed by the Hadoop functions. For Reducers, Flink 
offers a wrapper for a GroupReduceFunction with 
(<code>HadoopReduceCombineFunction</code>) and without a Combiner 
(<code>HadoopReduceFunction</code>). The wrappers accept an optional 
<code>JobConf</code> object to configure the Hadoop Mapper or Reducer.</p>
-
-<p>Flink’s function wrappers are</p>
-
-<ul>
-  
<li><code>org.apache.flink.hadoopcompatibility.mapred.HadoopMapFunction</code>,</li>
-  
<li><code>org.apache.flink.hadoopcompatibility.mapred.HadoopReduceFunction</code>,
 and</li>
-  
<li><code>org.apache.flink.hadoopcompatibility.mapred.HadoopReduceCombineFunction</code>.</li>
-</ul>
-
-<p>and can be used as regular Flink <a 
href="dataset_transformations.html#flatmap">FlatMapFunctions</a> or <a 
href="dataset_transformations.html#groupreduce-on-grouped-dataset">GroupReduceFunctions</a>.</p>
-
-<p>The following example shows how to use Hadoop <code>Mapper</code> and 
<code>Reducer</code> functions.</p>
-
-<div class="highlight"><pre><code class="language-java"><span class="c1">// 
Obtain data to process somehow.</span>
-<span class="n">DataSet</span><span class="o">&lt;</span><span 
class="n">Tuple2</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">&gt;&gt;</span> <span 
class="n">text</span> <span class="o">=</span> <span class="o">[...]</span>
-
-<span class="n">DataSet</span><span class="o">&lt;</span><span 
class="n">Tuple2</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">&gt;&gt;</span> <span 
class="n">result</span> <span class="o">=</span> <span class="n">text</span>
-  <span class="c1">// use Hadoop Mapper (Tokenizer) as MapFunction</span>
-  <span class="o">.</span><span class="na">flatMap</span><span 
class="o">(</span><span class="k">new</span> <span 
class="n">HadoopMapFunction</span><span class="o">&lt;</span><span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">,</span> <span class="n">Text</span><span 
class="o">,</span> <span class="n">LongWritable</span><span 
class="o">&gt;(</span>
-    <span class="k">new</span> <span class="nf">Tokenizer</span><span 
class="o">()</span>
-  <span class="o">))</span>
-  <span class="o">.</span><span class="na">groupBy</span><span 
class="o">(</span><span class="mi">0</span><span class="o">)</span>
-  <span class="c1">// use Hadoop Reducer (Counter) as Reduce- and 
CombineFunction</span>
-  <span class="o">.</span><span class="na">reduceGroup</span><span 
class="o">(</span><span class="k">new</span> <span 
class="n">HadoopReduceCombineFunction</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">&gt;(</span>
-    <span class="k">new</span> <span class="nf">Counter</span><span 
class="o">(),</span> <span class="k">new</span> <span 
class="nf">Counter</span><span class="o">()</span>
-  <span class="o">));</span></code></pre></div>
-
-<p><strong>Please note:</strong> The Reducer wrapper works on groups as 
defined by Flink’s <a 
href="dataset_transformations.html#transformations-on-grouped-dataset">groupBy()</a>
 operation. It does not consider any custom partitioners, sort or grouping 
comparators you might have set in the <code>JobConf</code>.</p>
-
-<h3 id="complete-hadoop-wordcount-example">Complete Hadoop WordCount 
Example</h3>
-
-<p>The following example shows a complete WordCount implementation using 
Hadoop data types, Input- and OutputFormats, and Mapper and Reducer 
implementations.</p>
-
-<div class="highlight"><pre><code class="language-java"><span 
class="n">ExecutionEnvironment</span> <span class="n">env</span> <span 
class="o">=</span> <span class="n">ExecutionEnvironment</span><span 
class="o">.</span><span class="na">getExecutionEnvironment</span><span 
class="o">();</span>
-               
-<span class="c1">// Set up the Hadoop TextInputFormat.</span>
-<span class="n">Job</span> <span class="n">job</span> <span class="o">=</span> 
<span class="n">Job</span><span class="o">.</span><span 
class="na">getInstance</span><span class="o">();</span>
-<span class="n">HadoopInputFormat</span><span class="o">&lt;</span><span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">&gt;</span> <span 
class="n">hadoopIF</span> <span class="o">=</span> 
-  <span class="k">new</span> <span class="n">HadoopInputFormat</span><span 
class="o">&lt;</span><span class="n">LongWritable</span><span 
class="o">,</span> <span class="n">Text</span><span class="o">&gt;(</span>
-    <span class="k">new</span> <span class="nf">TextInputFormat</span><span 
class="o">(),</span> <span class="n">LongWritable</span><span 
class="o">.</span><span class="na">class</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">.</span><span class="na">class</span><span 
class="o">,</span> <span class="n">job</span>
-  <span class="o">);</span>
-<span class="n">TextInputFormat</span><span class="o">.</span><span 
class="na">addInputPath</span><span class="o">(</span><span 
class="n">job</span><span class="o">,</span> <span class="k">new</span> <span 
class="nf">Path</span><span class="o">(</span><span 
class="n">inputPath</span><span class="o">));</span>
-               
-<span class="c1">// Read data using the Hadoop TextInputFormat.</span>
-<span class="n">DataSet</span><span class="o">&lt;</span><span 
class="n">Tuple2</span><span class="o">&lt;</span><span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">&gt;&gt;</span> <span 
class="n">text</span> <span class="o">=</span> <span class="n">env</span><span 
class="o">.</span><span class="na">createInput</span><span 
class="o">(</span><span class="n">hadoopIF</span><span class="o">);</span>
-
-<span class="n">DataSet</span><span class="o">&lt;</span><span 
class="n">Tuple2</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">&gt;&gt;</span> <span 
class="n">result</span> <span class="o">=</span> <span class="n">text</span>
-  <span class="c1">// use Hadoop Mapper (Tokenizer) as MapFunction</span>
-  <span class="o">.</span><span class="na">flatMap</span><span 
class="o">(</span><span class="k">new</span> <span 
class="n">HadoopMapFunction</span><span class="o">&lt;</span><span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">,</span> <span class="n">Text</span><span 
class="o">,</span> <span class="n">LongWritable</span><span 
class="o">&gt;(</span>
-    <span class="k">new</span> <span class="nf">Tokenizer</span><span 
class="o">()</span>
-  <span class="o">))</span>
-  <span class="o">.</span><span class="na">groupBy</span><span 
class="o">(</span><span class="mi">0</span><span class="o">)</span>
-  <span class="c1">// use Hadoop Reducer (Counter) as Reduce- and 
CombineFunction</span>
-  <span class="o">.</span><span class="na">reduceGroup</span><span 
class="o">(</span><span class="k">new</span> <span 
class="n">HadoopReduceCombineFunction</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">,</span> <span 
class="n">Text</span><span class="o">,</span> <span 
class="n">LongWritable</span><span class="o">&gt;(</span>
-    <span class="k">new</span> <span class="nf">Counter</span><span 
class="o">(),</span> <span class="k">new</span> <span 
class="nf">Counter</span><span class="o">()</span>
-  <span class="o">));</span>
-
-<span class="c1">// Set up the Hadoop TextOutputFormat.</span>
-<span class="n">HadoopOutputFormat</span><span class="o">&lt;</span><span 
class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;</span> <span 
class="n">hadoopOF</span> <span class="o">=</span> 
-  <span class="k">new</span> <span class="n">HadoopOutputFormat</span><span 
class="o">&lt;</span><span class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;(</span>
-    <span class="k">new</span> <span class="n">TextOutputFormat</span><span 
class="o">&lt;</span><span class="n">Text</span><span class="o">,</span> <span 
class="n">IntWritable</span><span class="o">&gt;(),</span> <span 
class="n">job</span>
-  <span class="o">);</span>
-<span class="n">hadoopOF</span><span class="o">.</span><span 
class="na">getConfiguration</span><span class="o">().</span><span 
class="na">set</span><span class="o">(</span><span 
class="s">&quot;mapreduce.output.textoutputformat.separator&quot;</span><span 
class="o">,</span> <span class="s">&quot; &quot;</span><span class="o">);</span>
-<span class="n">TextOutputFormat</span><span class="o">.</span><span 
class="na">setOutputPath</span><span class="o">(</span><span 
class="n">job</span><span class="o">,</span> <span class="k">new</span> <span 
class="nf">Path</span><span class="o">(</span><span 
class="n">outputPath</span><span class="o">));</span>
-               
-<span class="c1">// Emit data using the Hadoop TextOutputFormat.</span>
-<span class="n">result</span><span class="o">.</span><span 
class="na">output</span><span class="o">(</span><span 
class="n">hadoopOF</span><span class="o">);</span>
-
-<span class="c1">// Execute Program</span>
-<span class="n">env</span><span class="o">.</span><span 
class="na">execute</span><span class="o">(</span><span class="s">&quot;Hadoop 
WordCount&quot;</span><span class="o">);</span></code></pre></div>
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http://git-wip-us.apache.org/repos/asf/flink-web/blob/f0ac0cdb/content/docs/0.9/apis/index.html
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index d68e2e7..0000000
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-    <h1>Iterations</h1>
-
-
-
-<p>Iterative algorithms occur in many domains of data analysis, such as 
<em>machine learning</em> or <em>graph analysis</em>. Such algorithms are 
crucial in order to realize the promise of Big Data to extract meaningful 
information out of your data. With increasing interest to run these kinds of 
algorithms on very large data sets, there is a need to execute iterations in a 
massively parallel fashion.</p>
-
-<p>Flink programs implement iterative algorithms by defining a <strong>step 
function</strong> and embedding it into a special iteration operator. There are 
two  variants of this operator: <strong>Iterate</strong> and <strong>Delta 
Iterate</strong>. Both operators repeatedly invoke the step function on the 
current iteration state until a certain termination condition is reached.</p>
-
-<p>Here, we provide background on both operator variants and outline their 
usage. The <a href="programming_guide.html">programming guide</a> explains how 
to implement the operators in both Scala and Java. We also support both 
<strong>vertex-centric and gather-sum-apply iterations</strong> through 
Flink’s graph processing API, <a 
href="http://flink.apache.org/docs/0.9/libs/gelly_guide.html";>Gelly</a>.</p>
-
-<p>The following table provides an overview of both operators:</p>
-
-<table class="table table-striped table-hover table-bordered">
-       <thead>
-               <th></th>
-               <th class="text-center">Iterate</th>
-               <th class="text-center">Delta Iterate</th>
-       </thead>
-       <tr>
-               <td class="text-center" width="20%"><strong>Iteration 
Input</strong></td>
-               <td class="text-center" width="40%"><strong>Partial 
Solution</strong></td>
-               <td class="text-center" width="40%"><strong>Workset</strong> 
and <strong>Solution Set</strong></td>
-       </tr>
-       <tr>
-               <td class="text-center"><strong>Step Function</strong></td>
-               <td colspan="2" class="text-center">Arbitrary Data Flows</td>
-       </tr>
-       <tr>
-               <td class="text-center"><strong>State Update</strong></td>
-               <td class="text-center">Next <strong>partial 
solution</strong></td>
-               <td>
-                       <ul>
-                               <li>Next workset</li>
-                               <li><strong>Changes to solution 
set</strong></li>
-                       </ul>
-               </td>
-       </tr>
-       <tr>
-               <td class="text-center"><strong>Iteration Result</strong></td>
-               <td class="text-center">Last partial solution</td>
-               <td class="text-center">Solution set state after last 
iteration</td>
-       </tr>
-       <tr>
-               <td class="text-center"><strong>Termination</strong></td>
-               <td>
-                       <ul>
-                               <li><strong>Maximum number of 
iterations</strong> (default)</li>
-                               <li>Custom aggregator convergence</li>
-                       </ul>
-               </td>
-               <td>
-                       <ul>
-                               <li><strong>Maximum number of iterations or 
empty workset</strong> (default)</li>
-                               <li>Custom aggregator convergence</li>
-                       </ul>
-               </td>
-       </tr>
-</table>
-
-<ul id="markdown-toc">
-  <li><a href="#iterate-operator" id="markdown-toc-iterate-operator">Iterate 
Operator</a>    <ul>
-      <li><a href="#example-incrementing-numbers" 
id="markdown-toc-example-incrementing-numbers">Example: Incrementing 
Numbers</a></li>
-    </ul>
-  </li>
-  <li><a href="#delta-iterate-operator" 
id="markdown-toc-delta-iterate-operator">Delta Iterate Operator</a>    <ul>
-      <li><a href="#example-propagate-minimum-in-graph" 
id="markdown-toc-example-propagate-minimum-in-graph">Example: Propagate Minimum 
in Graph</a></li>
-    </ul>
-  </li>
-  <li><a href="#superstep-synchronization" 
id="markdown-toc-superstep-synchronization">Superstep Synchronization</a></li>
-</ul>
-
-<h2 id="iterate-operator">Iterate Operator</h2>
-
-<p>The <strong>iterate operator</strong> covers the <em>simple form of 
iterations</em>: in each iteration, the <strong>step function</strong> consumes 
the <strong>entire input</strong> (the <em>result of the previous 
iteration</em>, or the <em>initial data set</em>), and computes the 
<strong>next version of the partial solution</strong> (e.g. <code>map</code>, 
<code>reduce</code>, <code>join</code>, etc.).</p>
-
-<p class="text-center">
-    <img alt="Iterate Operator" width="60%" 
src="fig/iterations_iterate_operator.png" />
-</p>
-
-<ol>
-  <li><strong>Iteration Input</strong>: Initial input for the <em>first 
iteration</em> from a <em>data source</em> or <em>previous operators</em>.</li>
-  <li><strong>Step Function</strong>: The step function will be executed in 
each iteration. It is an arbitrary data flow consisting of operators like 
<code>map</code>, <code>reduce</code>, <code>join</code>, etc. and depends on 
your specific task at hand.</li>
-  <li><strong>Next Partial Solution</strong>: In each iteration, the output of 
the step function will be fed back into the <em>next iteration</em>.</li>
-  <li><strong>Iteration Result</strong>: Output of the <em>last iteration</em> 
is written to a <em>data sink</em> or used as input to the <em>following 
operators</em>.</li>
-</ol>
-
-<p>There are multiple options to specify <strong>termination 
conditions</strong> for an iteration:</p>
-
-<ul>
-  <li><strong>Maximum number of iterations</strong>: Without any further 
conditions, the iteration will be executed this many times.</li>
-  <li><strong>Custom aggregator convergence</strong>: Iterations allow to 
specify <em>custom aggregators</em> and <em>convergence criteria</em> like sum 
aggregate the number of emitted records (aggregator) and terminate if this 
number is zero (convergence criterion).</li>
-</ul>
-
-<p>You can also think about the iterate operator in pseudo-code:</p>
-
-<div class="highlight"><pre><code class="language-java"><span 
class="n">IterationState</span> <span class="n">state</span> <span 
class="o">=</span> <span class="n">getInitialState</span><span 
class="o">();</span>
-
-<span class="k">while</span> <span class="o">(!</span><span 
class="n">terminationCriterion</span><span class="o">())</span> <span 
class="o">{</span>
-       <span class="n">state</span> <span class="o">=</span> <span 
class="n">step</span><span class="o">(</span><span class="n">state</span><span 
class="o">);</span>
-<span class="o">}</span>
-
-<span class="n">setFinalState</span><span class="o">(</span><span 
class="n">state</span><span class="o">);</span></code></pre></div>
-
-<div class="panel panel-default">
-       <div class="panel-body">
-       See the <strong><a href="programming_guide.html">Programming Guide</a> 
</strong> for details and code examples.</div>
-</div>
-
-<h3 id="example-incrementing-numbers">Example: Incrementing Numbers</h3>
-
-<p>In the following example, we <strong>iteratively incremenet a set 
numbers</strong>:</p>
-
-<p class="text-center">
-    <img alt="Iterate Operator Example" width="60%" 
src="fig/iterations_iterate_operator_example.png" />
-</p>
-
-<ol>
-  <li><strong>Iteration Input</strong>: The inital input is read from a data 
source and consists of five single-field records (integers <code>1</code> to 
<code>5</code>).</li>
-  <li><strong>Step function</strong>: The step function is a single 
<code>map</code> operator, which increments the integer field from 
<code>i</code> to <code>i+1</code>. It will be applied to every record of the 
input.</li>
-  <li><strong>Next Partial Solution</strong>: The output of the step function 
will be the output of the map operator, i.e. records with incremented 
integers.</li>
-  <li><strong>Iteration Result</strong>: After ten iterations, the initial 
numbers will have been incremented ten times, resulting in integers 
<code>11</code> to <code>15</code>.</li>
-</ol>
-
-<div class="highlight"><pre><code>// 1st           2nd                       
10th
-map(1) -&gt; 2      map(2) -&gt; 3      ...      map(10) -&gt; 11
-map(2) -&gt; 3      map(3) -&gt; 4      ...      map(11) -&gt; 12
-map(3) -&gt; 4      map(4) -&gt; 5      ...      map(12) -&gt; 13
-map(4) -&gt; 5      map(5) -&gt; 6      ...      map(13) -&gt; 14
-map(5) -&gt; 6      map(6) -&gt; 7      ...      map(14) -&gt; 15
-</code></pre></div>
-
-<p>Note that <strong>1</strong>, <strong>2</strong>, and <strong>4</strong> 
can be arbitrary data flows.</p>
-
-<h2 id="delta-iterate-operator">Delta Iterate Operator</h2>
-
-<p>The <strong>delta iterate operator</strong> covers the case of 
<strong>incremental iterations</strong>. Incremental iterations 
<strong>selectively modify elements</strong> of their <strong>solution</strong> 
and evolve the solution rather than fully recompute it.</p>
-
-<p>Where applicable, this leads to <strong>more efficient algorithms</strong>, 
because not every element in the solution set changes in each iteration. This 
allows to <strong>focus on the hot parts</strong> of the solution and leave the 
<strong>cold parts untouched</strong>. Frequently, the majority of the solution 
cools down comparatively fast and the later iterations operate only on a small 
subset of the data.</p>
-
-<p class="text-center">
-    <img alt="Delta Iterate Operator" width="60%" 
src="fig/iterations_delta_iterate_operator.png" />
-</p>
-
-<ol>
-  <li><strong>Iteration Input</strong>: The initial workset and solution set 
are read from <em>data sources</em> or <em>previous operators</em> as input to 
the first iteration.</li>
-  <li><strong>Step Function</strong>: The step function will be executed in 
each iteration. It is an arbitrary data flow consisting of operators like 
<code>map</code>, <code>reduce</code>, <code>join</code>, etc. and depends on 
your specific task at hand.</li>
-  <li><strong>Next Workset/Update Solution Set</strong>: The <em>next 
workset</em> drives the iterative computation and will be fed back into the 
<em>next iteration</em>. Furthermore, the solution set will be updated and 
implicitly forwarded (it is not required to be rebuild). Both data sets can be 
updated by different operators of the step function.</li>
-  <li><strong>Iteration Result</strong>: After the <em>last iteration</em>, 
the <em>solution set</em> is written to a <em>data sink</em> or used as input 
to the <em>following operators</em>.</li>
-</ol>
-
-<p>The default <strong>termination condition</strong> for delta iterations is 
specified by the <strong>empty workset convergence criterion</strong> and a 
<strong>maximum number of iterations</strong>. The iteration will terminate 
when a produced <em>next workset</em> is empty or when the maximum number of 
iterations is reached. It is also possible to specify a <strong>custom 
aggregator</strong> and <strong>convergence criterion</strong>.</p>
-
-<p>You can also think about the iterate operator in pseudo-code:</p>
-
-<div class="highlight"><pre><code class="language-java"><span 
class="n">IterationState</span> <span class="n">workset</span> <span 
class="o">=</span> <span class="n">getInitialState</span><span 
class="o">();</span>
-<span class="n">IterationState</span> <span class="n">solution</span> <span 
class="o">=</span> <span class="n">getInitialSolution</span><span 
class="o">();</span>
-
-<span class="k">while</span> <span class="o">(!</span><span 
class="n">terminationCriterion</span><span class="o">())</span> <span 
class="o">{</span>
-       <span class="o">(</span><span class="n">delta</span><span 
class="o">,</span> <span class="n">workset</span><span class="o">)</span> <span 
class="o">=</span> <span class="n">step</span><span class="o">(</span><span 
class="n">workset</span><span class="o">,</span> <span 
class="n">solution</span><span class="o">);</span>
-
-       <span class="n">solution</span><span class="o">.</span><span 
class="na">update</span><span class="o">(</span><span 
class="n">delta</span><span class="o">)</span>
-<span class="o">}</span>
-
-<span class="n">setFinalState</span><span class="o">(</span><span 
class="n">solution</span><span class="o">);</span></code></pre></div>
-
-<div class="panel panel-default">
-       <div class="panel-body">
-       See the <strong><a href="programming_guide.html">programming 
guide</a></strong> for details and code examples.</div>
-</div>
-
-<h3 id="example-propagate-minimum-in-graph">Example: Propagate Minimum in 
Graph</h3>
-
-<p>In the following example, every vertex has an <strong>ID</strong> and a 
<strong>coloring</strong>. Each vertex will propagate its vertex ID to 
neighboring vertices. The <strong>goal</strong> is to <em>assign the minimum ID 
to every vertex in a subgraph</em>. If a received ID is smaller then the 
current one, it changes to the color of the vertex with the received ID. One 
application of this can be found in <em>community analysis</em> or 
<em>connected components</em> computation.</p>
-
-<p class="text-center">
-    <img alt="Delta Iterate Operator Example" width="100%" 
src="fig/iterations_delta_iterate_operator_example.png" />
-</p>
-
-<p>The <strong>intial input</strong> is set as <strong>both workset and 
solution set.</strong> In the above figure, the colors visualize the 
<strong>evolution of the solution set</strong>. With each iteration, the color 
of the minimum ID is spreading in the respective subgraph. At the same time, 
the amount of work (exchanged and compared vertex IDs) decreases with each 
iteration. This corresponds to the <strong>decreasing size of the 
workset</strong>, which goes from all seven vertices to zero after three 
iterations, at which time the iteration terminates. The <strong>important 
observation</strong> is that <em>the lower subgraph converges before the upper 
half</em> does and the delta iteration is able to capture this with the workset 
abstraction.</p>
-
-<p>In the upper subgraph <strong>ID 1</strong> (<em>orange</em>) is the 
<strong>minimum ID</strong>. In the <strong>first iteration</strong>, it will 
get propagated to vertex 2, which will subsequently change its color to orange. 
Vertices 3 and 4 will receive <strong>ID 2</strong> (in <em>yellow</em>) as 
their current minimum ID and change to yellow. Because the color of <em>vertex 
1</em> didn’t change in the first iteration, it can be skipped it in the next 
workset.</p>
-
-<p>In the lower subgraph <strong>ID 5</strong> (<em>cyan</em>) is the 
<strong>minimum ID</strong>. All vertices of the lower subgraph will receive it 
in the first iteration. Again, we can skip the unchanged vertices (<em>vertex 
5</em>) for the next workset.</p>
-
-<p>In the <strong>2nd iteration</strong>, the workset size has already 
decreased from seven to five elements (vertices 2, 3, 4, 6, and 7). These are 
part of the iteration and further propagate their current minimum IDs. After 
this iteration, the lower subgraph has already converged (<strong>cold 
part</strong> of the graph), as it has no elements in the workset, whereas the 
upper half needs a further iteration (<strong>hot part</strong> of the graph) 
for the two remaining workset elements (vertices 3 and 4).</p>
-
-<p>The iteration <strong>terminates</strong>, when the workset is empty after 
the <strong>3rd iteration</strong>.</p>
-
-<p><a href="#supersteps"></a></p>
-
-<h2 id="superstep-synchronization">Superstep Synchronization</h2>
-
-<p>We referred to each execution of the step function of an iteration operator 
as <em>a single iteration</em>. In parallel setups, <strong>multiple instances 
of the step function are evaluated in parallel</strong> on different partitions 
of the iteration state. In many settings, one evaluation of the step function 
on all parallel instances forms a so called <strong>superstep</strong>, which 
is also the granularity of synchronization. Therefore, <em>all</em> parallel 
tasks of an iteration need to complete the superstep, before a next superstep 
will be initialized. <strong>Termination criteria</strong> will also be 
evaluated at superstep barriers.</p>
-
-<p class="text-center">
-    <img alt="Supersteps" width="50%" src="fig/iterations_supersteps.png" />
-</p>
-
-  </div>
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