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-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" 
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd";>
-<html xmlns="http://www.w3.org/1999/xhtml"; xml:lang="en" lang="en">
-<head><meta http-equiv="content-type" content="text/html; charset=UTF-8" />
-<title>NormalApproximationIntervalTest xref</title>
-<link type="text/css" rel="stylesheet" href="../../../../../../stylesheet.css" 
/>
-</head>
-<body>
-<div id="overview"><a 
href="../../../../../../../testapidocs/org/apache/commons/math3/stat/interval/NormalApproximationIntervalTest.html">View
 Javadoc</a></div><pre>
-<a class="jxr_linenumber" name="L1" href="#L1">1</a>   <em 
class="jxr_comment">/*</em>
-<a class="jxr_linenumber" name="L2" href="#L2">2</a>   <em 
class="jxr_comment"> * Licensed to the Apache Software Foundation (ASF) under 
one or more</em>
-<a class="jxr_linenumber" name="L3" href="#L3">3</a>   <em 
class="jxr_comment"> * contributor license agreements.  See the NOTICE file 
distributed with</em>
-<a class="jxr_linenumber" name="L4" href="#L4">4</a>   <em 
class="jxr_comment"> * this work for additional information regarding copyright 
ownership.</em>
-<a class="jxr_linenumber" name="L5" href="#L5">5</a>   <em 
class="jxr_comment"> * The ASF licenses this file to You under the Apache 
License, Version 2.0</em>
-<a class="jxr_linenumber" name="L6" href="#L6">6</a>   <em 
class="jxr_comment"> * (the "License"); you may not use this file except in 
compliance with</em>
-<a class="jxr_linenumber" name="L7" href="#L7">7</a>   <em 
class="jxr_comment"> * the License.  You may obtain a copy of the License 
at</em>
-<a class="jxr_linenumber" name="L8" href="#L8">8</a>   <em 
class="jxr_comment"> *</em>
-<a class="jxr_linenumber" name="L9" href="#L9">9</a>   <em 
class="jxr_comment"> *      <a href="http://www.apache.org/licenses/LICENSE-2."; 
target="alexandria_uri">http://www.apache.org/licenses/LICENSE-2.</a>0</em>
-<a class="jxr_linenumber" name="L10" href="#L10">10</a>  <em 
class="jxr_comment"> *</em>
-<a class="jxr_linenumber" name="L11" href="#L11">11</a>  <em 
class="jxr_comment"> * Unless required by applicable law or agreed to in 
writing, software</em>
-<a class="jxr_linenumber" name="L12" href="#L12">12</a>  <em 
class="jxr_comment"> * distributed under the License is distributed on an "AS 
IS" BASIS,</em>
-<a class="jxr_linenumber" name="L13" href="#L13">13</a>  <em 
class="jxr_comment"> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either 
express or implied.</em>
-<a class="jxr_linenumber" name="L14" href="#L14">14</a>  <em 
class="jxr_comment"> * See the License for the specific language governing 
permissions and</em>
-<a class="jxr_linenumber" name="L15" href="#L15">15</a>  <em 
class="jxr_comment"> * limitations under the License.</em>
-<a class="jxr_linenumber" name="L16" href="#L16">16</a>  <em 
class="jxr_comment"> */</em>
-<a class="jxr_linenumber" name="L17" href="#L17">17</a>  <strong 
class="jxr_keyword">package</strong> org.apache.commons.math3.stat.interval;
-<a class="jxr_linenumber" name="L18" href="#L18">18</a>  
-<a class="jxr_linenumber" name="L19" href="#L19">19</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.stat.interval.BinomialConfidenceInterval;
-<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.stat.interval.ConfidenceInterval;
-<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.stat.interval.NormalApproximationInterval;
-<a class="jxr_linenumber" name="L22" href="#L22">22</a>  <strong 
class="jxr_keyword">import</strong> org.junit.Assert;
-<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <strong 
class="jxr_keyword">import</strong> org.junit.Test;
-<a class="jxr_linenumber" name="L24" href="#L24">24</a>  
-<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <em 
class="jxr_javadoccomment"> * Test cases for the NormalApproximationInterval 
class.</em>
-<a class="jxr_linenumber" name="L27" href="#L27">27</a>  <em 
class="jxr_javadoccomment"> *</em>
-<a class="jxr_linenumber" name="L28" href="#L28">28</a>  <em 
class="jxr_javadoccomment"> */</em>
-<a class="jxr_linenumber" name="L29" href="#L29">29</a>  <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> 
<a 
href="../../../../../../org/apache/commons/math3/stat/interval/NormalApproximationIntervalTest.html">NormalApproximationIntervalTest</a>
 <strong class="jxr_keyword">extends</strong> <a 
href="../../../../../../org/apache/commons/math3/stat/interval/BinomialConfidenceIntervalAbstractTest.html">BinomialConfidenceIntervalAbstractTest</a>
 {
-<a class="jxr_linenumber" name="L30" href="#L30">30</a>  
-<a class="jxr_linenumber" name="L31" href="#L31">31</a>      @Override
-<a class="jxr_linenumber" name="L32" href="#L32">32</a>      <strong 
class="jxr_keyword">protected</strong> BinomialConfidenceInterval 
createBinomialConfidenceInterval() {
-<a class="jxr_linenumber" name="L33" href="#L33">33</a>          <strong 
class="jxr_keyword">return</strong> <strong class="jxr_keyword">new</strong> 
NormalApproximationInterval();
-<a class="jxr_linenumber" name="L34" href="#L34">34</a>      }
-<a class="jxr_linenumber" name="L35" href="#L35">35</a>  
-<a class="jxr_linenumber" name="L36" href="#L36">36</a>      @Test
-<a class="jxr_linenumber" name="L37" href="#L37">37</a>      <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> 
testStandardInterval() {
-<a class="jxr_linenumber" name="L38" href="#L38">38</a>          
ConfidenceInterval confidenceInterval = createStandardTestInterval();
-<a class="jxr_linenumber" name="L39" href="#L39">39</a>          
Assert.assertEquals(0.07793197, confidenceInterval.getLowerBound(), 1E-5);
-<a class="jxr_linenumber" name="L40" href="#L40">40</a>          
Assert.assertEquals(0.1220680, confidenceInterval.getUpperBound(), 1E-5);
-<a class="jxr_linenumber" name="L41" href="#L41">41</a>      }
-<a class="jxr_linenumber" name="L42" href="#L42">42</a>  
-<a class="jxr_linenumber" name="L43" href="#L43">43</a>  }
-</pre>
-<hr/>
-<div id="footer">Copyright &#169; 2003&#x2013;2016 <a 
href="http://www.apache.org/";>The Apache Software Foundation</a>. All rights 
reserved.</div>
-</body>
-</html>

http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/03/0363ca024da7cae3bb2e5a49cdc13667f6fd233e.svn-base
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-<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 
1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd";><html 
xmlns="http://www.w3.org/1999/xhtml"; lang="en"><head><meta 
http-equiv="Content-Type" content="text/html;charset=UTF-8"/><link 
rel="stylesheet" href="../.resources/report.css" type="text/css"/><link 
rel="shortcut icon" href="../.resources/report.gif" 
type="image/gif"/><title>EdgesBuilder.java</title><link rel="stylesheet" 
href="../.resources/prettify.css" type="text/css"/><script 
type="text/javascript" src="../.resources/prettify.js"></script></head><body 
onload="window['PR_TAB_WIDTH']=4;prettyPrint()"><div class="breadcrumb" 
id="breadcrumb"><span class="info"><a href="../.sessions.html" 
class="el_session">Sessions</a></span><a href="../index.html" 
class="el_report">Apache Commons Math</a> &gt; <a href="index.source.html" 
class="el_package">org.apache.commons.math3.geometry.spherical.twod</a> &gt; 
<span class="el_source">EdgesBuilder
 .java</span></div><h1>EdgesBuilder.java</h1><pre class="source lang-java 
linenums">/*
- * Licensed to the Apache Software Foundation (ASF) under one or more
- * contributor license agreements.  See the NOTICE file distributed with
- * this work for additional information regarding copyright ownership.
- * The ASF licenses this file to You under the Apache License, Version 2.0
- * (the &quot;License&quot;); you may not use this file except in compliance 
with
- * the License.  You may obtain a copy of the License at
- *
- *      http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an &quot;AS IS&quot; BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-package org.apache.commons.math3.geometry.spherical.twod;
-
-import java.util.ArrayList;
-import java.util.IdentityHashMap;
-import java.util.List;
-import java.util.Map;
-
-import org.apache.commons.math3.exception.MathIllegalStateException;
-import org.apache.commons.math3.exception.util.LocalizedFormats;
-import org.apache.commons.math3.geometry.euclidean.threed.Vector3D;
-import org.apache.commons.math3.geometry.partitioning.BSPTree;
-import org.apache.commons.math3.geometry.partitioning.BSPTreeVisitor;
-import org.apache.commons.math3.geometry.partitioning.BoundaryAttribute;
-import org.apache.commons.math3.geometry.spherical.oned.Arc;
-import org.apache.commons.math3.geometry.spherical.oned.ArcsSet;
-import org.apache.commons.math3.geometry.spherical.oned.S1Point;
-
-/** Visitor building edges.
- * @since 3.3
- */
-class EdgesBuilder implements BSPTreeVisitor&lt;Sphere2D&gt; {
-
-    /** Root of the tree. */
-    private final BSPTree&lt;Sphere2D&gt; root;
-
-    /** Tolerance below which points are consider to be identical. */
-    private final double tolerance;
-
-    /** Built edges and their associated nodes. */
-    private final Map&lt;Edge, BSPTree&lt;Sphere2D&gt;&gt; edgeToNode;
-
-    /** Reversed map. */
-    private final Map&lt;BSPTree&lt;Sphere2D&gt;, List&lt;Edge&gt;&gt; 
nodeToEdgesList;
-
-    /** Simple constructor.
-     * @param root tree root
-     * @param tolerance below which points are consider to be identical
-     */
-<span class="fc" id="L55">    EdgesBuilder(final BSPTree&lt;Sphere2D&gt; root, 
final double tolerance) {</span>
-<span class="fc" id="L56">        this.root            = root;</span>
-<span class="fc" id="L57">        this.tolerance       = tolerance;</span>
-<span class="fc" id="L58">        this.edgeToNode      = new 
IdentityHashMap&lt;Edge, BSPTree&lt;Sphere2D&gt;&gt;();</span>
-<span class="fc" id="L59">        this.nodeToEdgesList = new 
IdentityHashMap&lt;BSPTree&lt;Sphere2D&gt;, List&lt;Edge&gt;&gt;();</span>
-<span class="fc" id="L60">    }</span>
-
-    /** {@inheritDoc} */
-    public Order visitOrder(final BSPTree&lt;Sphere2D&gt; node) {
-<span class="fc" id="L64">        return Order.MINUS_SUB_PLUS;</span>
-    }
-
-    /** {@inheritDoc} */
-    public void visitInternalNode(final BSPTree&lt;Sphere2D&gt; node) {
-<span class="fc" id="L69">        nodeToEdgesList.put(node, new 
ArrayList&lt;Edge&gt;());</span>
-        @SuppressWarnings(&quot;unchecked&quot;)
-<span class="fc" id="L71">        final BoundaryAttribute&lt;Sphere2D&gt; 
attribute = (BoundaryAttribute&lt;Sphere2D&gt;) node.getAttribute();</span>
-<span class="fc bfc" id="L72" title="All 2 branches covered.">        if 
(attribute.getPlusOutside() != null) {</span>
-<span class="fc" id="L73">            addContribution((SubCircle) 
attribute.getPlusOutside(), false, node);</span>
-        }
-<span class="fc bfc" id="L75" title="All 2 branches covered.">        if 
(attribute.getPlusInside() != null) {</span>
-<span class="fc" id="L76">            addContribution((SubCircle) 
attribute.getPlusInside(), true, node);</span>
-        }
-<span class="fc" id="L78">    }</span>
-
-    /** {@inheritDoc} */
-    public void visitLeafNode(final BSPTree&lt;Sphere2D&gt; node) {
-<span class="fc" id="L82">    }</span>
-
-    /** Add the contribution of a boundary edge.
-     * @param sub boundary facet
-     * @param reversed if true, the facet has the inside on its plus side
-     * @param node node to which the edge belongs
-     */
-    private void addContribution(final SubCircle sub, final boolean reversed,
-                                 final BSPTree&lt;Sphere2D&gt; node) {
-<span class="fc" id="L91">        final Circle circle  = (Circle) 
sub.getHyperplane();</span>
-<span class="fc" id="L92">        final List&lt;Arc&gt; arcs = ((ArcsSet) 
sub.getRemainingRegion()).asList();</span>
-<span class="fc bfc" id="L93" title="All 2 branches covered.">        for 
(final Arc a : arcs) {</span>
-<span class="fc" id="L94">            final Vertex start = new 
Vertex((S2Point) circle.toSpace(new S1Point(a.getInf())));</span>
-<span class="fc" id="L95">            final Vertex end   = new 
Vertex((S2Point) circle.toSpace(new S1Point(a.getSup())));</span>
-<span class="fc" id="L96">            start.bindWith(circle);</span>
-<span class="fc" id="L97">            end.bindWith(circle);</span>
-            final Edge edge;
-<span class="fc bfc" id="L99" title="All 2 branches covered.">            if 
(reversed) {</span>
-<span class="fc" id="L100">                edge = new Edge(end, start, 
a.getSize(), circle.getReverse());</span>
-            } else {
-<span class="fc" id="L102">                edge = new Edge(start, end, 
a.getSize(), circle);</span>
-            }
-<span class="fc" id="L104">            edgeToNode.put(edge, node);</span>
-<span class="fc" id="L105">            
nodeToEdgesList.get(node).add(edge);</span>
-<span class="fc" id="L106">        }</span>
-<span class="fc" id="L107">    }</span>
-
-    /** Get the edge that should naturally follow another one.
-     * @param previous edge to be continued
-     * @return other edge, starting where the previous one ends (they
-     * have not been connected yet)
-     * @exception MathIllegalStateException if there is not a single other edge
-     */
-    private Edge getFollowingEdge(final Edge previous)
-        throws MathIllegalStateException {
-
-        // get the candidate nodes
-<span class="fc" id="L119">        final S2Point point = 
previous.getEnd().getLocation();</span>
-<span class="fc" id="L120">        final List&lt;BSPTree&lt;Sphere2D&gt;&gt; 
candidates = root.getCloseCuts(point, tolerance);</span>
-
-        // the following edge we are looking for must start from one of the 
candidates nodes
-<span class="fc" id="L123">        double closest = tolerance;</span>
-<span class="fc" id="L124">        Edge following = null;</span>
-<span class="fc bfc" id="L125" title="All 2 branches covered.">        for 
(final BSPTree&lt;Sphere2D&gt; node : candidates) {</span>
-<span class="fc bfc" id="L126" title="All 2 branches covered.">            for 
(final Edge edge : nodeToEdgesList.get(node)) {</span>
-<span class="fc bfc" id="L127" title="All 4 branches covered.">                
if (edge != previous &amp;&amp; edge.getStart().getIncoming() == null) {</span>
-<span class="fc" id="L128">                    final Vector3D edgeStart = 
edge.getStart().getLocation().getVector();</span>
-<span class="fc" id="L129">                    final double gap         = 
Vector3D.angle(point.getVector(), edgeStart);</span>
-<span class="fc bfc" id="L130" title="All 2 branches covered.">                
    if (gap &lt;= closest) {</span>
-<span class="fc" id="L131">                        closest   = gap;</span>
-<span class="fc" id="L132">                        following = edge;</span>
-                    }
-                }
-<span class="fc" id="L135">            }</span>
-<span class="fc" id="L136">        }</span>
-
-<span class="fc bfc" id="L138" title="All 2 branches covered.">        if 
(following == null) {</span>
-<span class="fc" id="L139">            final Vector3D previousStart = 
previous.getStart().getLocation().getVector();</span>
-<span class="pc bpc" id="L140" title="1 of 2 branches missed.">            if 
(Vector3D.angle(point.getVector(), previousStart) &lt;= tolerance) {</span>
-                // the edge connects back to itself
-<span class="fc" id="L142">                return previous;</span>
-            }
-
-            // this should never happen
-<span class="nc" id="L146">            throw new 
MathIllegalStateException(LocalizedFormats.OUTLINE_BOUNDARY_LOOP_OPEN);</span>
-
-        }
-
-<span class="fc" id="L150">        return following;</span>
-
-    }
-
-    /** Get the boundary edges.
-     * @return boundary edges
-     * @exception MathIllegalStateException if there is not a single other edge
-     */
-    public List&lt;Edge&gt; getEdges() throws MathIllegalStateException {
-
-        // connect the edges
-<span class="fc bfc" id="L161" title="All 2 branches covered.">        for 
(final Edge previous : edgeToNode.keySet()) {</span>
-<span class="fc" id="L162">            
previous.setNextEdge(getFollowingEdge(previous));</span>
-<span class="fc" id="L163">        }</span>
-
-<span class="fc" id="L165">        return new 
ArrayList&lt;Edge&gt;(edgeToNode.keySet());</span>
-
-    }
-
-}
-</pre><div class="footer"><span class="right">Created with <a 
href="http://www.eclemma.org/jacoco";>JaCoCo</a> 
0.7.5.201505241946</span></div></body></html>
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-
-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" 
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd";>
-<html xml:lang="en" lang="en">
-       <head>
-               <meta http-equiv="content-type" content="text/html; 
charset=UTF-8" />
-               <title>Apache Commons Math 3.6.1 Reference Package 
org.apache.commons.math3.optimization</title>
-               <link rel="stylesheet" type="text/css" 
href="../../../../../stylesheet.css" title="style" />
-       </head>
-       <body>
-
-               <h3>
-               <a href="package-summary.html" 
target="classFrame">org.apache.commons.math3.optimization</a>
-       </h3>
-
-       <h3>Classes</h3>
-
-       <ul>
-                               <li>
-               <a 
href="MultivariateDifferentiableVectorMultiStartOptimizerTest.html" 
target="classFrame">LinearProblem</a>
-               </li>
-                               <li>
-               <a 
href="MultivariateDifferentiableMultiStartOptimizerTest.html" 
target="classFrame">MultivariateDifferentiableMultiStartOptimizerTest</a>
-               </li>
-                               <li>
-               <a 
href="MultivariateDifferentiableVectorMultiStartOptimizerTest.html" 
target="classFrame">MultivariateDifferentiableVectorMultiStartOptimizerTest</a>
-               </li>
-                               <li>
-               <a href="MultivariateMultiStartOptimizerTest.html" 
target="classFrame">MultivariateMultiStartOptimizerTest</a>
-               </li>
-                               <li>
-               <a href="PointValuePairTest.html" 
target="classFrame">PointValuePairTest</a>
-               </li>
-                               <li>
-               <a href="PointVectorValuePairTest.html" 
target="classFrame">PointVectorValuePairTest</a>
-               </li>
-                               <li>
-               <a href="MultivariateMultiStartOptimizerTest.html" 
target="classFrame">Rosenbrock</a>
-               </li>
-                               <li>
-               <a href="SimplePointCheckerTest.html" 
target="classFrame">SimplePointCheckerTest</a>
-               </li>
-                               <li>
-               <a href="SimpleValueCheckerTest.html" 
target="classFrame">SimpleValueCheckerTest</a>
-               </li>
-                               <li>
-               <a href="SimpleVectorValueCheckerTest.html" 
target="classFrame">SimpleVectorValueCheckerTest</a>
-               </li>
-                               <li>
-               <a 
href="MultivariateDifferentiableVectorMultiStartOptimizerTest.html" 
target="classFrame">TestException</a>
-               </li>
-                       </ul>
-
-       </body>
-</html>
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-<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" 
"http://www.w3.org/TR/html4/loose.dtd";>
-<html lang="en">
-<head>
-<title>Source code</title>
-<link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" 
title="Style">
-</head>
-<body>
-<div class="sourceContainer">
-<pre><span class="sourceLineNo">001</span>/*<a name="line.1"></a>
-<span class="sourceLineNo">002</span> * Licensed to the Apache Software 
Foundation (ASF) under one or more<a name="line.2"></a>
-<span class="sourceLineNo">003</span> * contributor license agreements.  See 
the NOTICE file distributed with<a name="line.3"></a>
-<span class="sourceLineNo">004</span> * this work for additional information 
regarding copyright ownership.<a name="line.4"></a>
-<span class="sourceLineNo">005</span> * The ASF licenses this file to You 
under the Apache License, Version 2.0<a name="line.5"></a>
-<span class="sourceLineNo">006</span> * (the "License"); you may not use this 
file except in compliance with<a name="line.6"></a>
-<span class="sourceLineNo">007</span> * the License.  You may obtain a copy of 
the License at<a name="line.7"></a>
-<span class="sourceLineNo">008</span> *<a name="line.8"></a>
-<span class="sourceLineNo">009</span> *      
http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
-<span class="sourceLineNo">010</span> *<a name="line.10"></a>
-<span class="sourceLineNo">011</span> * Unless required by applicable law or 
agreed to in writing, software<a name="line.11"></a>
-<span class="sourceLineNo">012</span> * distributed under the License is 
distributed on an "AS IS" BASIS,<a name="line.12"></a>
-<span class="sourceLineNo">013</span> * WITHOUT WARRANTIES OR CONDITIONS OF 
ANY KIND, either express or implied.<a name="line.13"></a>
-<span class="sourceLineNo">014</span> * See the License for the specific 
language governing permissions and<a name="line.14"></a>
-<span class="sourceLineNo">015</span> * limitations under the License.<a 
name="line.15"></a>
-<span class="sourceLineNo">016</span> */<a name="line.16"></a>
-<span class="sourceLineNo">017</span>package 
org.apache.commons.math3.random;<a name="line.17"></a>
-<span class="sourceLineNo">018</span><a name="line.18"></a>
-<span class="sourceLineNo">019</span>import java.io.BufferedReader;<a 
name="line.19"></a>
-<span class="sourceLineNo">020</span>import java.io.File;<a name="line.20"></a>
-<span class="sourceLineNo">021</span>import java.io.IOException;<a 
name="line.21"></a>
-<span class="sourceLineNo">022</span>import java.io.InputStreamReader;<a 
name="line.22"></a>
-<span class="sourceLineNo">023</span>import java.net.URL;<a name="line.23"></a>
-<span class="sourceLineNo">024</span>import java.util.ArrayList;<a 
name="line.24"></a>
-<span class="sourceLineNo">025</span>import java.util.Arrays;<a 
name="line.25"></a>
-<span class="sourceLineNo">026</span><a name="line.26"></a>
-<span class="sourceLineNo">027</span>import 
org.apache.commons.math3.TestUtils;<a name="line.27"></a>
-<span class="sourceLineNo">028</span>import 
org.apache.commons.math3.analysis.UnivariateFunction;<a name="line.28"></a>
-<span class="sourceLineNo">029</span>import 
org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator;<a
 name="line.29"></a>
-<span class="sourceLineNo">030</span>import 
org.apache.commons.math3.analysis.integration.IterativeLegendreGaussIntegrator;<a
 name="line.30"></a>
-<span class="sourceLineNo">031</span>import 
org.apache.commons.math3.distribution.ConstantRealDistribution;<a 
name="line.31"></a>
-<span class="sourceLineNo">032</span>import 
org.apache.commons.math3.distribution.NormalDistribution;<a name="line.32"></a>
-<span class="sourceLineNo">033</span>import 
org.apache.commons.math3.distribution.RealDistribution;<a name="line.33"></a>
-<span class="sourceLineNo">034</span>import 
org.apache.commons.math3.distribution.RealDistributionAbstractTest;<a 
name="line.34"></a>
-<span class="sourceLineNo">035</span>import 
org.apache.commons.math3.distribution.UniformRealDistribution;<a 
name="line.35"></a>
-<span class="sourceLineNo">036</span>import 
org.apache.commons.math3.exception.NullArgumentException;<a name="line.36"></a>
-<span class="sourceLineNo">037</span>import 
org.apache.commons.math3.stat.descriptive.SummaryStatistics;<a 
name="line.37"></a>
-<span class="sourceLineNo">038</span>import 
org.apache.commons.math3.util.FastMath;<a name="line.38"></a>
-<span class="sourceLineNo">039</span>import org.junit.Assert;<a 
name="line.39"></a>
-<span class="sourceLineNo">040</span>import org.junit.Before;<a 
name="line.40"></a>
-<span class="sourceLineNo">041</span>import org.junit.Test;<a 
name="line.41"></a>
-<span class="sourceLineNo">042</span><a name="line.42"></a>
-<span class="sourceLineNo">043</span>/**<a name="line.43"></a>
-<span class="sourceLineNo">044</span> * Test cases for the 
EmpiricalDistribution class<a name="line.44"></a>
-<span class="sourceLineNo">045</span> *<a name="line.45"></a>
-<span class="sourceLineNo">046</span> */<a name="line.46"></a>
-<span class="sourceLineNo">047</span><a name="line.47"></a>
-<span class="sourceLineNo">048</span>public final class 
EmpiricalDistributionTest extends RealDistributionAbstractTest {<a 
name="line.48"></a>
-<span class="sourceLineNo">049</span><a name="line.49"></a>
-<span class="sourceLineNo">050</span>    protected EmpiricalDistribution 
empiricalDistribution = null;<a name="line.50"></a>
-<span class="sourceLineNo">051</span>    protected EmpiricalDistribution 
empiricalDistribution2 = null;<a name="line.51"></a>
-<span class="sourceLineNo">052</span>    protected File file = null;<a 
name="line.52"></a>
-<span class="sourceLineNo">053</span>    protected URL url = null;<a 
name="line.53"></a>
-<span class="sourceLineNo">054</span>    protected double[] dataArray = 
null;<a name="line.54"></a>
-<span class="sourceLineNo">055</span>    protected final int n = 10000;<a 
name="line.55"></a>
-<span class="sourceLineNo">056</span><a name="line.56"></a>
-<span class="sourceLineNo">057</span>    @Override<a name="line.57"></a>
-<span class="sourceLineNo">058</span>    @Before<a name="line.58"></a>
-<span class="sourceLineNo">059</span>    public void setUp() {<a 
name="line.59"></a>
-<span class="sourceLineNo">060</span>        super.setUp();<a 
name="line.60"></a>
-<span class="sourceLineNo">061</span>        empiricalDistribution = new 
EmpiricalDistribution(100);<a name="line.61"></a>
-<span class="sourceLineNo">062</span>//         empiricalDistribution = new 
EmpiricalDistribution(100, new RandomDataImpl()); // XXX Deprecated API<a 
name="line.62"></a>
-<span class="sourceLineNo">063</span>        url = 
getClass().getResource("testData.txt");<a name="line.63"></a>
-<span class="sourceLineNo">064</span>        final ArrayList&lt;Double&gt; 
list = new ArrayList&lt;Double&gt;();<a name="line.64"></a>
-<span class="sourceLineNo">065</span>        try {<a name="line.65"></a>
-<span class="sourceLineNo">066</span>            empiricalDistribution2 = new 
EmpiricalDistribution(100);<a name="line.66"></a>
-<span class="sourceLineNo">067</span>//             empiricalDistribution2 = 
new EmpiricalDistribution(100, new RandomDataImpl()); // XXX Deprecated API<a 
name="line.67"></a>
-<span class="sourceLineNo">068</span>            BufferedReader in =<a 
name="line.68"></a>
-<span class="sourceLineNo">069</span>                new BufferedReader(new 
InputStreamReader(<a name="line.69"></a>
-<span class="sourceLineNo">070</span>                        
url.openStream()));<a name="line.70"></a>
-<span class="sourceLineNo">071</span>            String str = null;<a 
name="line.71"></a>
-<span class="sourceLineNo">072</span>            while ((str = in.readLine()) 
!= null) {<a name="line.72"></a>
-<span class="sourceLineNo">073</span>                
list.add(Double.valueOf(str));<a name="line.73"></a>
-<span class="sourceLineNo">074</span>            }<a name="line.74"></a>
-<span class="sourceLineNo">075</span>            in.close();<a 
name="line.75"></a>
-<span class="sourceLineNo">076</span>            in = null;<a 
name="line.76"></a>
-<span class="sourceLineNo">077</span>        } catch (IOException ex) {<a 
name="line.77"></a>
-<span class="sourceLineNo">078</span>            Assert.fail("IOException " + 
ex);<a name="line.78"></a>
-<span class="sourceLineNo">079</span>        }<a name="line.79"></a>
-<span class="sourceLineNo">080</span><a name="line.80"></a>
-<span class="sourceLineNo">081</span>        dataArray = new 
double[list.size()];<a name="line.81"></a>
-<span class="sourceLineNo">082</span>        int i = 0;<a name="line.82"></a>
-<span class="sourceLineNo">083</span>        for (Double data : list) {<a 
name="line.83"></a>
-<span class="sourceLineNo">084</span>            dataArray[i] = 
data.doubleValue();<a name="line.84"></a>
-<span class="sourceLineNo">085</span>            i++;<a name="line.85"></a>
-<span class="sourceLineNo">086</span>        }<a name="line.86"></a>
-<span class="sourceLineNo">087</span>    }<a name="line.87"></a>
-<span class="sourceLineNo">088</span><a name="line.88"></a>
-<span class="sourceLineNo">089</span>    /**<a name="line.89"></a>
-<span class="sourceLineNo">090</span>     * Test EmpiricalDistrbution.load() 
using sample data file.&lt;br&gt;<a name="line.90"></a>
-<span class="sourceLineNo">091</span>     * Check that the sampleCount, mu and 
sigma match data in<a name="line.91"></a>
-<span class="sourceLineNo">092</span>     * the sample data file. Also verify 
that load is idempotent.<a name="line.92"></a>
-<span class="sourceLineNo">093</span>     */<a name="line.93"></a>
-<span class="sourceLineNo">094</span>    @Test<a name="line.94"></a>
-<span class="sourceLineNo">095</span>    public void testLoad() throws 
Exception {<a name="line.95"></a>
-<span class="sourceLineNo">096</span>        // Load from a URL<a 
name="line.96"></a>
-<span class="sourceLineNo">097</span>        
empiricalDistribution.load(url);<a name="line.97"></a>
-<span class="sourceLineNo">098</span>        checkDistribution();<a 
name="line.98"></a>
-<span class="sourceLineNo">099</span>        <a name="line.99"></a>
-<span class="sourceLineNo">100</span>        // Load again from a file (also 
verifies idempotency of load)<a name="line.100"></a>
-<span class="sourceLineNo">101</span>        File file = new 
File(url.toURI());<a name="line.101"></a>
-<span class="sourceLineNo">102</span>        
empiricalDistribution.load(file);<a name="line.102"></a>
-<span class="sourceLineNo">103</span>        checkDistribution();<a 
name="line.103"></a>
-<span class="sourceLineNo">104</span>    }<a name="line.104"></a>
-<span class="sourceLineNo">105</span>    <a name="line.105"></a>
-<span class="sourceLineNo">106</span>    private void checkDistribution() {<a 
name="line.106"></a>
-<span class="sourceLineNo">107</span>        // testData File has 10000 
values, with mean ~ 5.0, std dev ~ 1<a name="line.107"></a>
-<span class="sourceLineNo">108</span>        // Make sure that loaded 
distribution matches this<a name="line.108"></a>
-<span class="sourceLineNo">109</span>        
Assert.assertEquals(empiricalDistribution.getSampleStats().getN(),1000,10E-7);<a
 name="line.109"></a>
-<span class="sourceLineNo">110</span>        //TODO: replace with statistical 
tests<a name="line.110"></a>
-<span class="sourceLineNo">111</span>        
Assert.assertEquals(empiricalDistribution.getSampleStats().getMean(),<a 
name="line.111"></a>
-<span class="sourceLineNo">112</span>                
5.069831575018909,10E-7);<a name="line.112"></a>
-<span class="sourceLineNo">113</span>        
Assert.assertEquals(empiricalDistribution.getSampleStats().getStandardDeviation(),<a
 name="line.113"></a>
-<span class="sourceLineNo">114</span>                
1.0173699343977738,10E-7);<a name="line.114"></a>
-<span class="sourceLineNo">115</span>    }<a name="line.115"></a>
-<span class="sourceLineNo">116</span><a name="line.116"></a>
-<span class="sourceLineNo">117</span>    /**<a name="line.117"></a>
-<span class="sourceLineNo">118</span>     * Test 
EmpiricalDistrbution.load(double[]) using data taken from<a name="line.118"></a>
-<span class="sourceLineNo">119</span>     * sample data file.&lt;br&gt;<a 
name="line.119"></a>
-<span class="sourceLineNo">120</span>     * Check that the sampleCount, mu and 
sigma match data in<a name="line.120"></a>
-<span class="sourceLineNo">121</span>     * the sample data file.<a 
name="line.121"></a>
-<span class="sourceLineNo">122</span>     */<a name="line.122"></a>
-<span class="sourceLineNo">123</span>    @Test<a name="line.123"></a>
-<span class="sourceLineNo">124</span>    public void testDoubleLoad() throws 
Exception {<a name="line.124"></a>
-<span class="sourceLineNo">125</span>        
empiricalDistribution2.load(dataArray);<a name="line.125"></a>
-<span class="sourceLineNo">126</span>        // testData File has 10000 
values, with mean ~ 5.0, std dev ~ 1<a name="line.126"></a>
-<span class="sourceLineNo">127</span>        // Make sure that loaded 
distribution matches this<a name="line.127"></a>
-<span class="sourceLineNo">128</span>        
Assert.assertEquals(empiricalDistribution2.getSampleStats().getN(),1000,10E-7);<a
 name="line.128"></a>
-<span class="sourceLineNo">129</span>        //TODO: replace with statistical 
tests<a name="line.129"></a>
-<span class="sourceLineNo">130</span>        
Assert.assertEquals(empiricalDistribution2.getSampleStats().getMean(),<a 
name="line.130"></a>
-<span class="sourceLineNo">131</span>                
5.069831575018909,10E-7);<a name="line.131"></a>
-<span class="sourceLineNo">132</span>        
Assert.assertEquals(empiricalDistribution2.getSampleStats().getStandardDeviation(),<a
 name="line.132"></a>
-<span class="sourceLineNo">133</span>                
1.0173699343977738,10E-7);<a name="line.133"></a>
-<span class="sourceLineNo">134</span><a name="line.134"></a>
-<span class="sourceLineNo">135</span>        double[] bounds = 
empiricalDistribution2.getGeneratorUpperBounds();<a name="line.135"></a>
-<span class="sourceLineNo">136</span>        
Assert.assertEquals(bounds.length, 100);<a name="line.136"></a>
-<span class="sourceLineNo">137</span>        Assert.assertEquals(bounds[99], 
1.0, 10e-12);<a name="line.137"></a>
-<span class="sourceLineNo">138</span><a name="line.138"></a>
-<span class="sourceLineNo">139</span>    }<a name="line.139"></a>
-<span class="sourceLineNo">140</span><a name="line.140"></a>
-<span class="sourceLineNo">141</span>    /**<a name="line.141"></a>
-<span class="sourceLineNo">142</span>      * Generate 1000 random values and 
make sure they look OK.&lt;br&gt;<a name="line.142"></a>
-<span class="sourceLineNo">143</span>      * Note that there is a non-zero 
(but very small) probability that<a name="line.143"></a>
-<span class="sourceLineNo">144</span>      * these tests will fail even if the 
code is working as designed.<a name="line.144"></a>
-<span class="sourceLineNo">145</span>      */<a name="line.145"></a>
-<span class="sourceLineNo">146</span>    @Test<a name="line.146"></a>
-<span class="sourceLineNo">147</span>    public void testNext() throws 
Exception {<a name="line.147"></a>
-<span class="sourceLineNo">148</span>        tstGen(0.1);<a 
name="line.148"></a>
-<span class="sourceLineNo">149</span>        tstDoubleGen(0.1);<a 
name="line.149"></a>
-<span class="sourceLineNo">150</span>    }<a name="line.150"></a>
-<span class="sourceLineNo">151</span><a name="line.151"></a>
-<span class="sourceLineNo">152</span>    /**<a name="line.152"></a>
-<span class="sourceLineNo">153</span>      * Make sure exception thrown if 
digest getNext is attempted<a name="line.153"></a>
-<span class="sourceLineNo">154</span>      * before loading 
empiricalDistribution.<a name="line.154"></a>
-<span class="sourceLineNo">155</span>     */<a name="line.155"></a>
-<span class="sourceLineNo">156</span>    @Test<a name="line.156"></a>
-<span class="sourceLineNo">157</span>    public void testNexFail() {<a 
name="line.157"></a>
-<span class="sourceLineNo">158</span>        try {<a name="line.158"></a>
-<span class="sourceLineNo">159</span>            
empiricalDistribution.getNextValue();<a name="line.159"></a>
-<span class="sourceLineNo">160</span>            
empiricalDistribution2.getNextValue();<a name="line.160"></a>
-<span class="sourceLineNo">161</span>            Assert.fail("Expecting 
IllegalStateException");<a name="line.161"></a>
-<span class="sourceLineNo">162</span>        } catch (IllegalStateException 
ex) {<a name="line.162"></a>
-<span class="sourceLineNo">163</span>            // expected<a 
name="line.163"></a>
-<span class="sourceLineNo">164</span>        }<a name="line.164"></a>
-<span class="sourceLineNo">165</span>    }<a name="line.165"></a>
-<span class="sourceLineNo">166</span><a name="line.166"></a>
-<span class="sourceLineNo">167</span>    /**<a name="line.167"></a>
-<span class="sourceLineNo">168</span>     * Make sure we can handle a grid 
size that is too fine<a name="line.168"></a>
-<span class="sourceLineNo">169</span>     */<a name="line.169"></a>
-<span class="sourceLineNo">170</span>    @Test<a name="line.170"></a>
-<span class="sourceLineNo">171</span>    public void testGridTooFine() throws 
Exception {<a name="line.171"></a>
-<span class="sourceLineNo">172</span>        empiricalDistribution = new 
EmpiricalDistribution(1001);<a name="line.172"></a>
-<span class="sourceLineNo">173</span>        tstGen(0.1);<a 
name="line.173"></a>
-<span class="sourceLineNo">174</span>        empiricalDistribution2 = new 
EmpiricalDistribution(1001);<a name="line.174"></a>
-<span class="sourceLineNo">175</span>        tstDoubleGen(0.1);<a 
name="line.175"></a>
-<span class="sourceLineNo">176</span>    }<a name="line.176"></a>
-<span class="sourceLineNo">177</span><a name="line.177"></a>
-<span class="sourceLineNo">178</span>    /**<a name="line.178"></a>
-<span class="sourceLineNo">179</span>     * How about too fat?<a 
name="line.179"></a>
-<span class="sourceLineNo">180</span>     */<a name="line.180"></a>
-<span class="sourceLineNo">181</span>    @Test<a name="line.181"></a>
-<span class="sourceLineNo">182</span>    public void testGridTooFat() throws 
Exception {<a name="line.182"></a>
-<span class="sourceLineNo">183</span>        empiricalDistribution = new 
EmpiricalDistribution(1);<a name="line.183"></a>
-<span class="sourceLineNo">184</span>        tstGen(5); // ridiculous 
tolerance; but ridiculous grid size<a name="line.184"></a>
-<span class="sourceLineNo">185</span>                   // really just 
checking to make sure we do not bomb<a name="line.185"></a>
-<span class="sourceLineNo">186</span>        empiricalDistribution2 = new 
EmpiricalDistribution(1);<a name="line.186"></a>
-<span class="sourceLineNo">187</span>        tstDoubleGen(5);<a 
name="line.187"></a>
-<span class="sourceLineNo">188</span>    }<a name="line.188"></a>
-<span class="sourceLineNo">189</span><a name="line.189"></a>
-<span class="sourceLineNo">190</span>    /**<a name="line.190"></a>
-<span class="sourceLineNo">191</span>     * Test bin index overflow problem 
(BZ 36450)<a name="line.191"></a>
-<span class="sourceLineNo">192</span>     */<a name="line.192"></a>
-<span class="sourceLineNo">193</span>    @Test<a name="line.193"></a>
-<span class="sourceLineNo">194</span>    public void testBinIndexOverflow() 
throws Exception {<a name="line.194"></a>
-<span class="sourceLineNo">195</span>        double[] x = new double[] 
{9474.94326071674, 2080107.8865462579};<a name="line.195"></a>
-<span class="sourceLineNo">196</span>        new 
EmpiricalDistribution().load(x);<a name="line.196"></a>
-<span class="sourceLineNo">197</span>    }<a name="line.197"></a>
-<span class="sourceLineNo">198</span><a name="line.198"></a>
-<span class="sourceLineNo">199</span>    @Test<a name="line.199"></a>
-<span class="sourceLineNo">200</span>    public void testSerialization() {<a 
name="line.200"></a>
-<span class="sourceLineNo">201</span>        // Empty<a name="line.201"></a>
-<span class="sourceLineNo">202</span>        EmpiricalDistribution dist = new 
EmpiricalDistribution();<a name="line.202"></a>
-<span class="sourceLineNo">203</span>        EmpiricalDistribution dist2 = 
(EmpiricalDistribution) TestUtils.serializeAndRecover(dist);<a 
name="line.203"></a>
-<span class="sourceLineNo">204</span>        verifySame(dist, dist2);<a 
name="line.204"></a>
-<span class="sourceLineNo">205</span><a name="line.205"></a>
-<span class="sourceLineNo">206</span>        // Loaded<a name="line.206"></a>
-<span class="sourceLineNo">207</span>        
empiricalDistribution2.load(dataArray);<a name="line.207"></a>
-<span class="sourceLineNo">208</span>        dist2 = (EmpiricalDistribution) 
TestUtils.serializeAndRecover(empiricalDistribution2);<a name="line.208"></a>
-<span class="sourceLineNo">209</span>        
verifySame(empiricalDistribution2, dist2);<a name="line.209"></a>
-<span class="sourceLineNo">210</span>    }<a name="line.210"></a>
-<span class="sourceLineNo">211</span><a name="line.211"></a>
-<span class="sourceLineNo">212</span>    
@Test(expected=NullArgumentException.class)<a name="line.212"></a>
-<span class="sourceLineNo">213</span>    public void testLoadNullDoubleArray() 
{<a name="line.213"></a>
-<span class="sourceLineNo">214</span>       new 
EmpiricalDistribution().load((double[]) null);<a name="line.214"></a>
-<span class="sourceLineNo">215</span>    }<a name="line.215"></a>
-<span class="sourceLineNo">216</span><a name="line.216"></a>
-<span class="sourceLineNo">217</span>    
@Test(expected=NullArgumentException.class)<a name="line.217"></a>
-<span class="sourceLineNo">218</span>    public void testLoadNullURL() throws 
Exception {<a name="line.218"></a>
-<span class="sourceLineNo">219</span>        new 
EmpiricalDistribution().load((URL) null);<a name="line.219"></a>
-<span class="sourceLineNo">220</span>    }<a name="line.220"></a>
-<span class="sourceLineNo">221</span><a name="line.221"></a>
-<span class="sourceLineNo">222</span>    
@Test(expected=NullArgumentException.class)<a name="line.222"></a>
-<span class="sourceLineNo">223</span>    public void testLoadNullFile() throws 
Exception {<a name="line.223"></a>
-<span class="sourceLineNo">224</span>        new 
EmpiricalDistribution().load((File) null);<a name="line.224"></a>
-<span class="sourceLineNo">225</span>    }<a name="line.225"></a>
-<span class="sourceLineNo">226</span><a name="line.226"></a>
-<span class="sourceLineNo">227</span>    /**<a name="line.227"></a>
-<span class="sourceLineNo">228</span>     * MATH-298<a name="line.228"></a>
-<span class="sourceLineNo">229</span>     */<a name="line.229"></a>
-<span class="sourceLineNo">230</span>    @Test<a name="line.230"></a>
-<span class="sourceLineNo">231</span>    public void testGetBinUpperBounds() 
{<a name="line.231"></a>
-<span class="sourceLineNo">232</span>        double[] testData = {0, 1, 1, 2, 
3, 4, 4, 5, 6, 7, 8, 9, 10};<a name="line.232"></a>
-<span class="sourceLineNo">233</span>        EmpiricalDistribution dist = new 
EmpiricalDistribution(5);<a name="line.233"></a>
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{2, 4, 6, 8, 10};<a name="line.235"></a>
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expectedGeneratorUpperBounds = {4d/13d, 7d/13d, 9d/13d, 11d/13d, 1};<a 
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TestUtils.assertEquals(expectedBinUpperBounds, dist.getUpperBounds(), tol);<a 
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TestUtils.assertEquals(expectedGeneratorUpperBounds, 
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empiricalDistribution.load(url);<a name="line.261"></a>
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empiricalDistribution.reSeed(100);<a name="line.262"></a>
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empiricalDistribution.reSeed(100);<a name="line.267"></a>
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Assert.assertEquals(values[i],empiricalDistribution.getNextValue(), 0d);<a 
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empiricalDistribution.load(url);<a name="line.286"></a>
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empiricalDistribution.reSeed(1000);<a name="line.287"></a>
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stats.addValue(empiricalDistribution.getNextValue());<a name="line.290"></a>
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empiricalDistribution2.load(dataArray);<a name="line.297"></a>
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empiricalDistribution2.reSeed(1000);<a name="line.298"></a>
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stats.addValue(empiricalDistribution2.getNextValue());<a name="line.301"></a>
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1.0173699343977738, stats.getStandardDeviation(), tolerance);<a 
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i++) {<a name="line.313"></a>
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3.02765), N(14.5, 3.02765)...<a name="line.338"></a>
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testPoints.length; i++) {<a name="line.345"></a>
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10000, the rest have mass 10 / 10000.<a name="line.351"></a>
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0 ? 0 : (bin - 1) * binMass + firstBinMass;<a name="line.352"></a>
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withinBinKernelMass = kernel.cumulativeProbability(lower, upper);<a 
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kernel.cumulativeProbability(lower, testPoints[i]);<a name="line.355"></a>
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empiricalDistribution.getUpperBounds();<a name="line.366"></a>
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testPoints.length; i++) {<a name="line.367"></a>
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1030, 5010, 10000};<a name="line.399"></a>
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{<a name="line.400"></a>
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distribution.cumulativeProbability( <a name="line.402"></a>
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upper[i]),<a name="line.403"></a>
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integrator.integrate(<a name="line.404"></a>
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1000000, // Triangle integrals are very slow to converge<a name="line.405"></a>
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endpoints of (0, 1).<a name="line.416"></a>
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would generate values outside the interval.<a name="line.417"></a>
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double[100];<a name="line.418"></a>
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{<a name="line.419"></a>
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1);<a name="line.420"></a>
-<span class="sourceLineNo">421</span>        }<a name="line.421"></a>
-<span class="sourceLineNo">422</span>        for (int i = 51; i &lt; 100; i++) 
{<a name="line.422"></a>
-<span class="sourceLineNo">423</span>            data[i] = 1 - 1 / (100 - 
(double) i + 2);<a name="line.423"></a>
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dist.reseedRandomGenerator(1000);<a name="line.427"></a>
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{<a name="line.428"></a>
-<span class="sourceLineNo">429</span>            final double dev = 
dist.sample();<a name="line.429"></a>
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1);<a name="line.430"></a>
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0);<a name="line.431"></a>
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-<span class="sourceLineNo">433</span>    }<a name="line.433"></a>
-<span class="sourceLineNo">434</span>    <a name="line.434"></a>
-<span class="sourceLineNo">435</span>    /**<a name="line.435"></a>
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name="line.436"></a>
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EmpiricalDistribution(2);<a name="line.441"></a>
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name="line.442"></a>
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dist.reseedRandomGenerator(1000);<a name="line.443"></a>
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{<a name="line.444"></a>
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dist.sample();<a name="line.445"></a>
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dev == 1);<a name="line.446"></a>
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dist.cumulativeProbability(0), Double.MIN_VALUE);<a name="line.448"></a>
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dist.cumulativeProbability(1), Double.MIN_VALUE);<a name="line.449"></a>
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dist.cumulativeProbability(0.5), Double.MIN_VALUE);<a name="line.450"></a>
-<span class="sourceLineNo">451</span>        Assert.assertEquals(0.5, 
dist.cumulativeProbability(0.7), Double.MIN_VALUE);<a name="line.451"></a>
-<span class="sourceLineNo">452</span>    }   <a name="line.452"></a>
-<span class="sourceLineNo">453</span>    <a name="line.453"></a>
-<span class="sourceLineNo">454</span>    /**<a name="line.454"></a>
-<span class="sourceLineNo">455</span>     * Find the bin that x belongs 
(relative to {@link #makeDistribution()}).<a name="line.455"></a>
-<span class="sourceLineNo">456</span>     */<a name="line.456"></a>
-<span class="sourceLineNo">457</span>    private int findBin(double x) {<a 
name="line.457"></a>
-<span class="sourceLineNo">458</span>        // Number of bins below x should 
be trunc(x/10)<a name="line.458"></a>
-<span class="sourceLineNo">459</span>        final double nMinus = 
FastMath.floor(x / 10);<a name="line.459"></a>
-<span class="sourceLineNo">460</span>        final int bin =  (int) 
FastMath.round(nMinus);<a name="line.460"></a>
-<span class="sourceLineNo">461</span>        // If x falls on a bin boundary, 
it is in the lower bin<a name="line.461"></a>
-<span class="sourceLineNo">462</span>        return FastMath.floor(x / 10) == 
x / 10 ? bin - 1 : bin;<a name="line.462"></a>
-<span class="sourceLineNo">463</span>    }<a name="line.463"></a>
-<span class="sourceLineNo">464</span>    <a name="line.464"></a>
-<span class="sourceLineNo">465</span>    /**<a name="line.465"></a>
-<span class="sourceLineNo">466</span>     * Find the within-bin kernel for the 
bin with lower bound lower<a name="line.466"></a>
-<span class="sourceLineNo">467</span>     * and upper bound upper. All bins 
other than the first contain 10 points<a name="line.467"></a>
-<span class="sourceLineNo">468</span>     * exclusive of the lower bound and 
are centered at (lower + upper + 1) / 2.<a name="line.468"></a>
-<span class="sourceLineNo">469</span>     * The first bin includes its lower 
bound, 0, so has different mean and<a name="line.469"></a>
-<span class="sourceLineNo">470</span>     * standard deviation.<a 
name="line.470"></a>
-<span class="sourceLineNo">471</span>     */<a name="line.471"></a>
-<span class="sourceLineNo">472</span>    private RealDistribution 
findKernel(double lower, double upper) {<a name="line.472"></a>
-<span class="sourceLineNo">473</span>        if (lower &lt; 1) {<a 
name="line.473"></a>
-<span class="sourceLineNo">474</span>            return new 
NormalDistribution(5d, 3.3166247903554);<a name="line.474"></a>
-<span class="sourceLineNo">475</span>        } else {<a name="line.475"></a>
-<span class="sourceLineNo">476</span>            return new 
NormalDistribution((upper + lower + 1) / 2d, 3.0276503540974917); <a 
name="line.476"></a>
-<span class="sourceLineNo">477</span>        }<a name="line.477"></a>
-<span class="sourceLineNo">478</span>    }<a name="line.478"></a>
-<span class="sourceLineNo">479</span>    <a name="line.479"></a>
-<span class="sourceLineNo">480</span>    @Test<a name="line.480"></a>
-<span class="sourceLineNo">481</span>    public void 
testKernelOverrideConstant() {<a name="line.481"></a>
-<span class="sourceLineNo">482</span>        final EmpiricalDistribution dist 
= new ConstantKernelEmpiricalDistribution(5);<a name="line.482"></a>
-<span class="sourceLineNo">483</span>        final double[] data = {1d,2d,3d, 
4d,5d,6d, 7d,8d,9d, 10d,11d,12d, 13d,14d,15d};<a name="line.483"></a>
-<span class="sourceLineNo">484</span>        dist.load(data);<a 
name="line.484"></a>
-<span class="sourceLineNo">485</span>        // Bin masses concentrated on 2, 
5, 8, 11, 14 &lt;- effectively discrete uniform distribution over these<a 
name="line.485"></a>
-<span class="sourceLineNo">486</span>        double[] values = {2d, 5d, 8d, 
11d, 14d};<a name="line.486"></a>
-<span class="sourceLineNo">487</span>        for (int i = 0; i &lt; 20; i++) 
{<a name="line.487"></a>
-<span class="sourceLineNo">488</span>            
Assert.assertTrue(Arrays.binarySearch(values, dist.sample()) &gt;= 0);<a 
name="line.488"></a>
-<span class="sourceLineNo">489</span>        }<a name="line.489"></a>
-<span class="sourceLineNo">490</span>        final double tol = 10E-12;<a 
name="line.490"></a>
-<span class="sourceLineNo">491</span>        Assert.assertEquals(0.0, 
dist.cumulativeProbability(1), tol);<a name="line.491"></a>
-<span class="sourceLineNo">492</span>        Assert.assertEquals(0.2, 
dist.cumulativeProbability(2), tol);<a name="line.492"></a>
-<span class="sourceLineNo">493</span>        Assert.assertEquals(0.6, 
dist.cumulativeProbability(10), tol);<a name="line.493"></a>
-<span class="sourceLineNo">494</span>        Assert.assertEquals(0.8, 
dist.cumulativeProbability(12), tol);<a name="line.494"></a>
-<span class="sourceLineNo">495</span>        Assert.assertEquals(0.8, 
dist.cumulativeProbability(13), tol);<a name="line.495"></a>
-<span class="sourceLineNo">496</span>        Assert.assertEquals(1.0, 
dist.cumulativeProbability(15), tol);<a name="line.496"></a>
-<span class="sourceLineNo">497</span><a name="line.497"></a>
-<span class="sourceLineNo">498</span>        Assert.assertEquals(2.0, 
dist.inverseCumulativeProbability(0.1), tol);<a name="line.498"></a>
-<span class="sourceLineNo">499</span>        Assert.assertEquals(2.0, 
dist.inverseCumulativeProbability(0.2), tol);<a name="line.499"></a>
-<span class="sourceLineNo">500</span>        Assert.assertEquals(5.0, 
dist.inverseCumulativeProbability(0.3), tol);<a name="line.500"></a>
-<span class="sourceLineNo">501</span>        Assert.assertEquals(5.0, 
dist.inverseCumulativeProbability(0.4), tol);<a name="line.501"></a>
-<span class="sourceLineNo">502</span>        Assert.assertEquals(8.0, 
dist.inverseCumulativeProbability(0.5), tol);<a name="line.502"></a>
-<span class="sourceLineNo">503</span>        Assert.assertEquals(8.0, 
dist.inverseCumulativeProbability(0.6), tol);<a name="line.503"></a>
-<span class="sourceLineNo">504</span>    }<a name="line.504"></a>
-<span class="sourceLineNo">505</span>    <a name="line.505"></a>
-<span class="sourceLineNo">506</span>    @Test<a name="line.506"></a>
-<span class="sourceLineNo">507</span>    public void 
testKernelOverrideUniform() {<a name="line.507"></a>
-<span class="sourceLineNo">508</span>        final EmpiricalDistribution dist 
= new UniformKernelEmpiricalDistribution(5);<a name="line.508"></a>
-<span class="sourceLineNo">509</span>        final double[] data = {1d,2d,3d, 
4d,5d,6d, 7d,8d,9d, 10d,11d,12d, 13d,14d,15d};<a name="line.509"></a>
-<span class="sourceLineNo">510</span>        dist.load(data);<a 
name="line.510"></a>
-<span class="sourceLineNo">511</span>        // Kernels are uniform 
distributions on [1,3], [4,6], [7,9], [10,12], [13,15]<a name="line.511"></a>
-<span class="sourceLineNo">512</span>        final double bounds[] = {3d, 6d, 
9d, 12d};<a name="line.512"></a>
-<span class="sourceLineNo">513</span>        final double tol = 10E-12; <a 
name="line.513"></a>
-<span class="sourceLineNo">514</span>        for (int i = 0; i &lt; 20; i++) 
{<a name="line.514"></a>
-<span class="sourceLineNo">515</span>            final double v = 
dist.sample();<a name="line.515"></a>
-<span class="sourceLineNo">516</span>            // Make sure v is not in the 
excluded range between bins - that is (bounds[i], bounds[i] + 1)<a 
name="line.516"></a>
-<span class="sourceLineNo">517</span>            for (int j = 0; j &lt; 
bounds.length; j++) {<a name="line.517"></a>
-<span class="sourceLineNo">518</span>                Assert.assertFalse(v &gt; 
bounds[j] + tol &amp;&amp; v &lt; bounds[j] + 1 - tol);<a name="line.518"></a>
-<span class="sourceLineNo">519</span>            }<a name="line.519"></a>
-<span class="sourceLineNo">520</span>        }   <a name="line.520"></a>
-<span class="sourceLineNo">521</span>        Assert.assertEquals(0.0, 
dist.cumulativeProbability(1), tol);<a name="line.521"></a>
-<span class="sourceLineNo">522</span>        Assert.assertEquals(0.1, 
dist.cumulativeProbability(2), tol);<a name="line.522"></a>
-<span class="sourceLineNo">523</span>        Assert.assertEquals(0.6, 
dist.cumulativeProbability(10), tol);<a name="line.523"></a>
-<span class="sourceLineNo">524</span>        Assert.assertEquals(0.8, 
dist.cumulativeProbability(12), tol);<a name="line.524"></a>
-<span class="sourceLineNo">525</span>        Assert.assertEquals(0.8, 
dist.cumulativeProbability(13), tol);<a name="line.525"></a>
-<span class="sourceLineNo">526</span>        Assert.assertEquals(1.0, 
dist.cumulativeProbability(15), tol);<a name="line.526"></a>
-<span class="sourceLineNo">527</span><a name="line.527"></a>
-<span class="sourceLineNo">528</span>        Assert.assertEquals(2.0, 
dist.inverseCumulativeProbability(0.1), tol);<a name="line.528"></a>
-<span class="sourceLineNo">529</span>        Assert.assertEquals(3.0, 
dist.inverseCumulativeProbability(0.2), tol);<a name="line.529"></a>
-<span class="sourceLineNo">530</span>        Assert.assertEquals(5.0, 
dist.inverseCumulativeProbability(0.3), tol);<a name="line.530"></a>
-<span class="sourceLineNo">531</span>        Assert.assertEquals(6.0, 
dist.inverseCumulativeProbability(0.4), tol);<a name="line.531"></a>
-<span class="sourceLineNo">532</span>        Assert.assertEquals(8.0, 
dist.inverseCumulativeProbability(0.5), tol);<a name="line.532"></a>
-<span class="sourceLineNo">533</span>        Assert.assertEquals(9.0, 
dist.inverseCumulativeProbability(0.6), tol);<a name="line.533"></a>
-<span class="sourceLineNo">534</span>    }<a name="line.534"></a>
-<span class="sourceLineNo">535</span>    <a name="line.535"></a>
-<span class="sourceLineNo">536</span>    <a name="line.536"></a>
-<span class="sourceLineNo">537</span>    /**<a name="line.537"></a>
-<span class="sourceLineNo">538</span>     * Empirical distribution using a 
constant smoothing kernel.<a name="line.538"></a>
-<span class="sourceLineNo">539</span>     */<a name="line.539"></a>
-<span class="sourceLineNo">540</span>    private class 
ConstantKernelEmpiricalDistribution extends EmpiricalDistribution {<a 
name="line.540"></a>
-<span class="sourceLineNo">541</span>        private static final long 
serialVersionUID = 1L;<a name="line.541"></a>
-<span class="sourceLineNo">542</span>        public 
ConstantKernelEmpiricalDistribution(int i) {<a name="line.542"></a>
-<span class="sourceLineNo">543</span>            super(i);<a 
name="line.543"></a>
-<span class="sourceLineNo">544</span>        }<a name="line.544"></a>
-<span class="sourceLineNo">545</span>        // Use constant distribution 
equal to bin mean within bin<a name="line.545"></a>
-<span class="sourceLineNo">546</span>        @Override<a name="line.546"></a>
-<span class="sourceLineNo">547</span>        protected RealDistribution 
getKernel(SummaryStatistics bStats) {<a name="line.547"></a>
-<span class="sourceLineNo">548</span>            return new 
ConstantRealDistribution(bStats.getMean());<a name="line.548"></a>
-<span class="sourceLineNo">549</span>        }<a name="line.549"></a>
-<span class="sourceLineNo">550</span>    }<a name="line.550"></a>
-<span class="sourceLineNo">551</span>    <a name="line.551"></a>
-<span class="sourceLineNo">552</span>    /**<a name="line.552"></a>
-<span class="sourceLineNo">553</span>     * Empirical distribution using a 
uniform smoothing kernel.<a name="line.553"></a>
-<span class="sourceLineNo">554</span>     */<a name="line.554"></a>
-<span class="sourceLineNo">555</span>    private class 
UniformKernelEmpiricalDistribution extends EmpiricalDistribution {<a 
name="line.555"></a>
-<span class="sourceLineNo">556</span>        private static final long 
serialVersionUID = 2963149194515159653L;<a name="line.556"></a>
-<span class="sourceLineNo">557</span>        public 
UniformKernelEmpiricalDistribution(int i) {<a name="line.557"></a>
-<span class="sourceLineNo">558</span>            super(i);<a 
name="line.558"></a>
-<span class="sourceLineNo">559</span>        }<a name="line.559"></a>
-<span class="sourceLineNo">560</span>        @Override<a name="line.560"></a>
-<span class="sourceLineNo">561</span>        protected RealDistribution 
getKernel(SummaryStatistics bStats) {<a name="line.561"></a>
-<span class="sourceLineNo">562</span>            return new 
UniformRealDistribution(randomData.getRandomGenerator(), bStats.getMin(), 
bStats.getMax(),<a name="line.562"></a>
-<span class="sourceLineNo">563</span>                    
UniformRealDistribution.DEFAULT_INVERSE_ABSOLUTE_ACCURACY);<a 
name="line.563"></a>
-<span class="sourceLineNo">564</span>        }<a name="line.564"></a>
-<span class="sourceLineNo">565</span>    }<a name="line.565"></a>
-<span class="sourceLineNo">566</span>}<a name="line.566"></a>
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