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From l..@apache.org
Subject svn commit: r926176 [28/31] - in /websites/production/commons/content/proper/commons-math: apidocs/org/apache/commons/math3/analysis/interpolation/ apidocs/org/apache/commons/math3/analysis/interpolation/class-use/ apidocs/org/apache/commons/math3/dist...
Date Sat, 18 Oct 2014 20:10:40 GMT
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Added: websites/production/commons/content/proper/commons-math/xref/org/apache/commons/math3/analysis/interpolation/AkimaSplineInterpolator.html
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--- websites/production/commons/content/proper/commons-math/xref/org/apache/commons/math3/analysis/interpolation/AkimaSplineInterpolator.html (added)
+++ websites/production/commons/content/proper/commons-math/xref/org/apache/commons/math3/analysis/interpolation/AkimaSplineInterpolator.html Sat Oct 18 20:10:38 2014
@@ -0,0 +1,238 @@
+<!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>AkimaSplineInterpolator xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../../apidocs/org/apache/commons/math3/analysis/interpolation/AkimaSplineInterpolator.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.analysis.interpolation;
+<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.analysis.polynomials.PolynomialFunction;
+<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.analysis.polynomials.PolynomialSplineFunction;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.DimensionMismatchException;
+<a class="jxr_linenumber" name="L22" href="#L22">22</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.NonMonotonicSequenceException;
+<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.NullArgumentException;
+<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.NumberIsTooSmallException;
+<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.util.LocalizedFormats;
+<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.util.FastMath;
+<a class="jxr_linenumber" name="L27" href="#L27">27</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.util.MathArrays;
+<a class="jxr_linenumber" name="L28" href="#L28">28</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.util.Precision;
+<a class="jxr_linenumber" name="L29" href="#L29">29</a>  
+<a class="jxr_linenumber" name="L30" href="#L30">30</a>  <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L31" href="#L31">31</a>  <em class="jxr_javadoccomment"> * Computes a cubic spline interpolation for the data set using the Akima</em>
+<a class="jxr_linenumber" name="L32" href="#L32">32</a>  <em class="jxr_javadoccomment"> * algorithm, as originally formulated by Hiroshi Akima in his 1970 paper</em>
+<a class="jxr_linenumber" name="L33" href="#L33">33</a>  <em class="jxr_javadoccomment"> * "A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures."</em>
+<a class="jxr_linenumber" name="L34" href="#L34">34</a>  <em class="jxr_javadoccomment"> * J. ACM 17, 4 (October 1970), 589-602. DOI=10.1145/321607.321609</em>
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>  <em class="jxr_javadoccomment"> * <a href="http://doi.acm.org/10.1145/321607.32160" target="alexandria_uri">http://doi.acm.org/10.1145/321607.32160</a>9</em>
+<a class="jxr_linenumber" name="L36" href="#L36">36</a>  <em class="jxr_javadoccomment"> * &lt;p&gt;</em>
+<a class="jxr_linenumber" name="L37" href="#L37">37</a>  <em class="jxr_javadoccomment"> * This implementation is based on the Akima implementation in the CubicSpline</em>
+<a class="jxr_linenumber" name="L38" href="#L38">38</a>  <em class="jxr_javadoccomment"> * class in the Math.NET Numerics library. The method referenced is</em>
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>  <em class="jxr_javadoccomment"> * CubicSpline.InterpolateAkimaSorted</em>
+<a class="jxr_linenumber" name="L40" href="#L40">40</a>  <em class="jxr_javadoccomment"> * &lt;p&gt;</em>
+<a class="jxr_linenumber" name="L41" href="#L41">41</a>  <em class="jxr_javadoccomment"> * The {@link #interpolate(double[], double[])} method returns a</em>
+<a class="jxr_linenumber" name="L42" href="#L42">42</a>  <em class="jxr_javadoccomment"> * {@link PolynomialSplineFunction} consisting of n cubic polynomials, defined</em>
+<a class="jxr_linenumber" name="L43" href="#L43">43</a>  <em class="jxr_javadoccomment"> * over the subintervals determined by the x values, x[0] &lt; x[i] ... &lt; x[n]. The</em>
+<a class="jxr_linenumber" name="L44" href="#L44">44</a>  <em class="jxr_javadoccomment"> * Akima algorithm requires that n &gt;= 5.</em>
+<a class="jxr_linenumber" name="L45" href="#L45">45</a>  <em class="jxr_javadoccomment"> * &lt;/p&gt;</em>
+<a class="jxr_linenumber" name="L46" href="#L46">46</a>  <em class="jxr_javadoccomment"> * &lt;p&gt;</em>
+<a class="jxr_linenumber" name="L47" href="#L47">47</a>  <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>  
+<a class="jxr_linenumber" name="L49" href="#L49">49</a>  <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/AkimaSplineInterpolator.html">AkimaSplineInterpolator</a>
+<a class="jxr_linenumber" name="L50" href="#L50">50</a>      <strong class="jxr_keyword">implements</strong> <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/UnivariateInterpolator.html">UnivariateInterpolator</a> {
+<a class="jxr_linenumber" name="L51" href="#L51">51</a>  
+<a class="jxr_linenumber" name="L52" href="#L52">52</a>  
+<a class="jxr_linenumber" name="L53" href="#L53">53</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L54" href="#L54">54</a>  <em class="jxr_javadoccomment">     * The minimum number of points that are needed to compute the function</em>
+<a class="jxr_linenumber" name="L55" href="#L55">55</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L56" href="#L56">56</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> MINIMUM_NUMBER_POINTS = 5;
+<a class="jxr_linenumber" name="L57" href="#L57">57</a>  
+<a class="jxr_linenumber" name="L58" href="#L58">58</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L59" href="#L59">59</a>  <em class="jxr_javadoccomment">     * Default constructor. Builds an AkimaSplineInterpolator object</em>
+<a class="jxr_linenumber" name="L60" href="#L60">60</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L61" href="#L61">61</a>      <strong class="jxr_keyword">public</strong> <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/AkimaSplineInterpolator.html">AkimaSplineInterpolator</a>() {
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>  
+<a class="jxr_linenumber" name="L63" href="#L63">63</a>      }
+<a class="jxr_linenumber" name="L64" href="#L64">64</a>  
+<a class="jxr_linenumber" name="L65" href="#L65">65</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L66" href="#L66">66</a>  <em class="jxr_javadoccomment">     * Computes an interpolating function for the data set.</em>
+<a class="jxr_linenumber" name="L67" href="#L67">67</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L68" href="#L68">68</a>  <em class="jxr_javadoccomment">     * @param xvals the arguments for the interpolation points</em>
+<a class="jxr_linenumber" name="L69" href="#L69">69</a>  <em class="jxr_javadoccomment">     * @param yvals the values for the interpolation points</em>
+<a class="jxr_linenumber" name="L70" href="#L70">70</a>  <em class="jxr_javadoccomment">     * @return a function which interpolates the data set</em>
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>  <em class="jxr_javadoccomment">     * @throws DimensionMismatchException if {@code x} and {@code y} have</em>
+<a class="jxr_linenumber" name="L72" href="#L72">72</a>  <em class="jxr_javadoccomment">     *         different sizes.</em>
+<a class="jxr_linenumber" name="L73" href="#L73">73</a>  <em class="jxr_javadoccomment">     * @throws NonMonotonicSequenceException if {@code x} is not sorted in</em>
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>  <em class="jxr_javadoccomment">     *         strict increasing order.</em>
+<a class="jxr_linenumber" name="L75" href="#L75">75</a>  <em class="jxr_javadoccomment">     * @throws NumberIsTooSmallException if the size of {@code x} is smaller</em>
+<a class="jxr_linenumber" name="L76" href="#L76">76</a>  <em class="jxr_javadoccomment">     *         than 5.</em>
+<a class="jxr_linenumber" name="L77" href="#L77">77</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L78" href="#L78">78</a>      <strong class="jxr_keyword">public</strong> <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html">PolynomialSplineFunction</a> interpolate(<strong class="jxr_keyword">double</strong>[] xvals, <strong class="jxr_keyword">double</strong>[] yvals)
+<a class="jxr_linenumber" name="L79" href="#L79">79</a>          <strong class="jxr_keyword">throws</strong> DimensionMismatchException, NumberIsTooSmallException,
+<a class="jxr_linenumber" name="L80" href="#L80">80</a>          <a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html">NonMonotonicSequenceException</a> {
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>          <strong class="jxr_keyword">if</strong> (xvals == <strong class="jxr_keyword">null</strong> || yvals == <strong class="jxr_keyword">null</strong>) {
+<a class="jxr_linenumber" name="L82" href="#L82">82</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html">NullArgumentException</a>();
+<a class="jxr_linenumber" name="L83" href="#L83">83</a>          }
+<a class="jxr_linenumber" name="L84" href="#L84">84</a>  
+<a class="jxr_linenumber" name="L85" href="#L85">85</a>          <strong class="jxr_keyword">if</strong> (xvals.length != yvals.length) {
+<a class="jxr_linenumber" name="L86" href="#L86">86</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a>(xvals.length, yvals.length);
+<a class="jxr_linenumber" name="L87" href="#L87">87</a>          }
+<a class="jxr_linenumber" name="L88" href="#L88">88</a>  
+<a class="jxr_linenumber" name="L89" href="#L89">89</a>          <strong class="jxr_keyword">if</strong> (xvals.length &lt; MINIMUM_NUMBER_POINTS) {
+<a class="jxr_linenumber" name="L90" href="#L90">90</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html">NumberIsTooSmallException</a>(
+<a class="jxr_linenumber" name="L91" href="#L91">91</a>                                                  LocalizedFormats.NUMBER_OF_POINTS,
+<a class="jxr_linenumber" name="L92" href="#L92">92</a>                                                  xvals.length,
+<a class="jxr_linenumber" name="L93" href="#L93">93</a>                                                  MINIMUM_NUMBER_POINTS, <strong class="jxr_keyword">true</strong>);
+<a class="jxr_linenumber" name="L94" href="#L94">94</a>          }
+<a class="jxr_linenumber" name="L95" href="#L95">95</a>  
+<a class="jxr_linenumber" name="L96" href="#L96">96</a>          MathArrays.checkOrder(xvals);
+<a class="jxr_linenumber" name="L97" href="#L97">97</a>  
+<a class="jxr_linenumber" name="L98" href="#L98">98</a>          <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> numberOfDiffAndWeightElements = xvals.length - 1;
+<a class="jxr_linenumber" name="L99" href="#L99">99</a>  
+<a class="jxr_linenumber" name="L100" href="#L100">100</a>         <strong class="jxr_keyword">double</strong> differences[] = <strong class="jxr_keyword">new</strong> <strong class="jxr_keyword">double</strong>[numberOfDiffAndWeightElements];
+<a class="jxr_linenumber" name="L101" href="#L101">101</a>         <strong class="jxr_keyword">double</strong> weights[] = <strong class="jxr_keyword">new</strong> <strong class="jxr_keyword">double</strong>[numberOfDiffAndWeightElements];
+<a class="jxr_linenumber" name="L102" href="#L102">102</a> 
+<a class="jxr_linenumber" name="L103" href="#L103">103</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; differences.length; i++) {
+<a class="jxr_linenumber" name="L104" href="#L104">104</a>             differences[i] = (yvals[i + 1] - yvals[i]) /
+<a class="jxr_linenumber" name="L105" href="#L105">105</a>                              (xvals[i + 1] - xvals[i]);
+<a class="jxr_linenumber" name="L106" href="#L106">106</a>         }
+<a class="jxr_linenumber" name="L107" href="#L107">107</a> 
+<a class="jxr_linenumber" name="L108" href="#L108">108</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 1; i &lt; weights.length; i++) {
+<a class="jxr_linenumber" name="L109" href="#L109">109</a>             weights[i] = FastMath.abs(differences[i] - differences[i - 1]);
+<a class="jxr_linenumber" name="L110" href="#L110">110</a>         }
+<a class="jxr_linenumber" name="L111" href="#L111">111</a> 
+<a class="jxr_linenumber" name="L112" href="#L112">112</a>         <em class="jxr_comment">/* Prepare Hermite interpolation scheme */</em>
+<a class="jxr_linenumber" name="L113" href="#L113">113</a> 
+<a class="jxr_linenumber" name="L114" href="#L114">114</a>         <strong class="jxr_keyword">double</strong> firstDerivatives[] = <strong class="jxr_keyword">new</strong> <strong class="jxr_keyword">double</strong>[xvals.length];
+<a class="jxr_linenumber" name="L115" href="#L115">115</a> 
+<a class="jxr_linenumber" name="L116" href="#L116">116</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 2; i &lt; firstDerivatives.length - 2; i++) {
+<a class="jxr_linenumber" name="L117" href="#L117">117</a>             <strong class="jxr_keyword">if</strong> (Precision.equals(weights[i - 1], 0.0) &amp;&amp;
+<a class="jxr_linenumber" name="L118" href="#L118">118</a>                 Precision.equals(weights[i + 1], 0.0)) {
+<a class="jxr_linenumber" name="L119" href="#L119">119</a>                 firstDerivatives[i] = (((xvals[i + 1] - xvals[i]) * differences[i - 1]) + ((xvals[i] - xvals[i - 1]) * differences[i])) /
+<a class="jxr_linenumber" name="L120" href="#L120">120</a>                                       (xvals[i + 1] - xvals[i - 1]);
+<a class="jxr_linenumber" name="L121" href="#L121">121</a>             } <strong class="jxr_keyword">else</strong> {
+<a class="jxr_linenumber" name="L122" href="#L122">122</a>                 firstDerivatives[i] = ((weights[i + 1] * differences[i - 1]) + (weights[i - 1] * differences[i])) /
+<a class="jxr_linenumber" name="L123" href="#L123">123</a>                                       (weights[i + 1] + weights[i - 1]);
+<a class="jxr_linenumber" name="L124" href="#L124">124</a>             }
+<a class="jxr_linenumber" name="L125" href="#L125">125</a>         }
+<a class="jxr_linenumber" name="L126" href="#L126">126</a> 
+<a class="jxr_linenumber" name="L127" href="#L127">127</a>         firstDerivatives[0] = <strong class="jxr_keyword">this</strong>.differentiateThreePoint(xvals, yvals, 0, 0,
+<a class="jxr_linenumber" name="L128" href="#L128">128</a>                                                            1, 2);
+<a class="jxr_linenumber" name="L129" href="#L129">129</a>         firstDerivatives[1] = <strong class="jxr_keyword">this</strong>.differentiateThreePoint(xvals, yvals, 1, 0,
+<a class="jxr_linenumber" name="L130" href="#L130">130</a>                                                            1, 2);
+<a class="jxr_linenumber" name="L131" href="#L131">131</a>         firstDerivatives[xvals.length - 2] = <strong class="jxr_keyword">this</strong>
+<a class="jxr_linenumber" name="L132" href="#L132">132</a>             .differentiateThreePoint(xvals, yvals, xvals.length - 2,
+<a class="jxr_linenumber" name="L133" href="#L133">133</a>                                      xvals.length - 3, xvals.length - 2,
+<a class="jxr_linenumber" name="L134" href="#L134">134</a>                                      xvals.length - 1);
+<a class="jxr_linenumber" name="L135" href="#L135">135</a>         firstDerivatives[xvals.length - 1] = <strong class="jxr_keyword">this</strong>
+<a class="jxr_linenumber" name="L136" href="#L136">136</a>             .differentiateThreePoint(xvals, yvals, xvals.length - 1,
+<a class="jxr_linenumber" name="L137" href="#L137">137</a>                                      xvals.length - 3, xvals.length - 2,
+<a class="jxr_linenumber" name="L138" href="#L138">138</a>                                      xvals.length - 1);
+<a class="jxr_linenumber" name="L139" href="#L139">139</a> 
+<a class="jxr_linenumber" name="L140" href="#L140">140</a>         <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">this</strong>.interpolateHermiteSorted(xvals, yvals, firstDerivatives);
+<a class="jxr_linenumber" name="L141" href="#L141">141</a>     }
+<a class="jxr_linenumber" name="L142" href="#L142">142</a> 
+<a class="jxr_linenumber" name="L143" href="#L143">143</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L144" href="#L144">144</a> <em class="jxr_javadoccomment">     * Three point differentiation helper, modeled off of the same method in the</em>
+<a class="jxr_linenumber" name="L145" href="#L145">145</a> <em class="jxr_javadoccomment">     * Math.NET CubicSpline class. This is used by both the Apache Math and the</em>
+<a class="jxr_linenumber" name="L146" href="#L146">146</a> <em class="jxr_javadoccomment">     * Math.NET Akima Cubic Spline algorithms</em>
+<a class="jxr_linenumber" name="L147" href="#L147">147</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L148" href="#L148">148</a> <em class="jxr_javadoccomment">     * @param xvals x values to calculate the numerical derivative with</em>
+<a class="jxr_linenumber" name="L149" href="#L149">149</a> <em class="jxr_javadoccomment">     * @param yvals y values to calculate the numerical derivative with</em>
+<a class="jxr_linenumber" name="L150" href="#L150">150</a> <em class="jxr_javadoccomment">     * @param indexOfDifferentiation index of the elemnt we are calculating the derivative around</em>
+<a class="jxr_linenumber" name="L151" href="#L151">151</a> <em class="jxr_javadoccomment">     * @param indexOfFirstSample index of the first element to sample for the three point method</em>
+<a class="jxr_linenumber" name="L152" href="#L152">152</a> <em class="jxr_javadoccomment">     * @param indexOfSecondsample index of the second element to sample for the three point method</em>
+<a class="jxr_linenumber" name="L153" href="#L153">153</a> <em class="jxr_javadoccomment">     * @param indexOfThirdSample index of the third element to sample for the three point method</em>
+<a class="jxr_linenumber" name="L154" href="#L154">154</a> <em class="jxr_javadoccomment">     * @return the derivative</em>
+<a class="jxr_linenumber" name="L155" href="#L155">155</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L156" href="#L156">156</a>     <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">double</strong> differentiateThreePoint(<strong class="jxr_keyword">double</strong>[] xvals, <strong class="jxr_keyword">double</strong>[] yvals,
+<a class="jxr_linenumber" name="L157" href="#L157">157</a>                                            <strong class="jxr_keyword">int</strong> indexOfDifferentiation,
+<a class="jxr_linenumber" name="L158" href="#L158">158</a>                                            <strong class="jxr_keyword">int</strong> indexOfFirstSample,
+<a class="jxr_linenumber" name="L159" href="#L159">159</a>                                            <strong class="jxr_keyword">int</strong> indexOfSecondsample,
+<a class="jxr_linenumber" name="L160" href="#L160">160</a>                                            <strong class="jxr_keyword">int</strong> indexOfThirdSample) {
+<a class="jxr_linenumber" name="L161" href="#L161">161</a>         <strong class="jxr_keyword">double</strong> x0 = yvals[indexOfFirstSample];
+<a class="jxr_linenumber" name="L162" href="#L162">162</a>         <strong class="jxr_keyword">double</strong> x1 = yvals[indexOfSecondsample];
+<a class="jxr_linenumber" name="L163" href="#L163">163</a>         <strong class="jxr_keyword">double</strong> x2 = yvals[indexOfThirdSample];
+<a class="jxr_linenumber" name="L164" href="#L164">164</a> 
+<a class="jxr_linenumber" name="L165" href="#L165">165</a>         <strong class="jxr_keyword">double</strong> t = xvals[indexOfDifferentiation] - xvals[indexOfFirstSample];
+<a class="jxr_linenumber" name="L166" href="#L166">166</a>         <strong class="jxr_keyword">double</strong> t1 = xvals[indexOfSecondsample] - xvals[indexOfFirstSample];
+<a class="jxr_linenumber" name="L167" href="#L167">167</a>         <strong class="jxr_keyword">double</strong> t2 = xvals[indexOfThirdSample] - xvals[indexOfFirstSample];
+<a class="jxr_linenumber" name="L168" href="#L168">168</a> 
+<a class="jxr_linenumber" name="L169" href="#L169">169</a>         <strong class="jxr_keyword">double</strong> a = (x2 - x0 - (t2 / t1 * (x1 - x0))) / (t2 * t2 - t1 * t2);
+<a class="jxr_linenumber" name="L170" href="#L170">170</a>         <strong class="jxr_keyword">double</strong> b = (x1 - x0 - a * t1 * t1) / t1;
+<a class="jxr_linenumber" name="L171" href="#L171">171</a>         <strong class="jxr_keyword">return</strong> (2 * a * t) + b;
+<a class="jxr_linenumber" name="L172" href="#L172">172</a>     }
+<a class="jxr_linenumber" name="L173" href="#L173">173</a> 
+<a class="jxr_linenumber" name="L174" href="#L174">174</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L175" href="#L175">175</a> <em class="jxr_javadoccomment">     * Creates a Hermite cubic spline interpolation from the set of (x,y) value</em>
+<a class="jxr_linenumber" name="L176" href="#L176">176</a> <em class="jxr_javadoccomment">     * pairs and their derivatives. This is modeled off of the</em>
+<a class="jxr_linenumber" name="L177" href="#L177">177</a> <em class="jxr_javadoccomment">     * InterpolateHermiteSorted method in the Math.NET CubicSpline class.</em>
+<a class="jxr_linenumber" name="L178" href="#L178">178</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L179" href="#L179">179</a> <em class="jxr_javadoccomment">     * @param xvals x values for interpolation</em>
+<a class="jxr_linenumber" name="L180" href="#L180">180</a> <em class="jxr_javadoccomment">     * @param yvals y values for interpolation</em>
+<a class="jxr_linenumber" name="L181" href="#L181">181</a> <em class="jxr_javadoccomment">     * @param firstDerivatives first derivative values of the function</em>
+<a class="jxr_linenumber" name="L182" href="#L182">182</a> <em class="jxr_javadoccomment">     * @return polynomial that fits the function</em>
+<a class="jxr_linenumber" name="L183" href="#L183">183</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L184" href="#L184">184</a>     <strong class="jxr_keyword">private</strong> <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html">PolynomialSplineFunction</a> interpolateHermiteSorted(<strong class="jxr_keyword">double</strong>[] xvals,
+<a class="jxr_linenumber" name="L185" href="#L185">185</a>                                                               <strong class="jxr_keyword">double</strong>[] yvals,
+<a class="jxr_linenumber" name="L186" href="#L186">186</a>                                                               <strong class="jxr_keyword">double</strong>[] firstDerivatives) {
+<a class="jxr_linenumber" name="L187" href="#L187">187</a>         <strong class="jxr_keyword">if</strong> (xvals.length != yvals.length) {
+<a class="jxr_linenumber" name="L188" href="#L188">188</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a>(xvals.length, yvals.length);
+<a class="jxr_linenumber" name="L189" href="#L189">189</a>         }
+<a class="jxr_linenumber" name="L190" href="#L190">190</a> 
+<a class="jxr_linenumber" name="L191" href="#L191">191</a>         <strong class="jxr_keyword">if</strong> (xvals.length != firstDerivatives.length) {
+<a class="jxr_linenumber" name="L192" href="#L192">192</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html">DimensionMismatchException</a>(xvals.length,
+<a class="jxr_linenumber" name="L193" href="#L193">193</a>                                                  firstDerivatives.length);
+<a class="jxr_linenumber" name="L194" href="#L194">194</a>         }
+<a class="jxr_linenumber" name="L195" href="#L195">195</a> 
+<a class="jxr_linenumber" name="L196" href="#L196">196</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> minimumLength = 2;
+<a class="jxr_linenumber" name="L197" href="#L197">197</a>         <strong class="jxr_keyword">if</strong> (xvals.length &lt; minimumLength) {
+<a class="jxr_linenumber" name="L198" href="#L198">198</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html">NumberIsTooSmallException</a>(
+<a class="jxr_linenumber" name="L199" href="#L199">199</a>                                                 LocalizedFormats.NUMBER_OF_POINTS,
+<a class="jxr_linenumber" name="L200" href="#L200">200</a>                                                 xvals.length, minimumLength,
+<a class="jxr_linenumber" name="L201" href="#L201">201</a>                                                 <strong class="jxr_keyword">true</strong>);
+<a class="jxr_linenumber" name="L202" href="#L202">202</a>         }
+<a class="jxr_linenumber" name="L203" href="#L203">203</a> 
+<a class="jxr_linenumber" name="L204" href="#L204">204</a>         <strong class="jxr_keyword">int</strong> size = xvals.length - 1;
+<a class="jxr_linenumber" name="L205" href="#L205">205</a>         <strong class="jxr_keyword">final</strong> <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html">PolynomialFunction</a> polynomials[] = <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html">PolynomialFunction</a>[size];
+<a class="jxr_linenumber" name="L206" href="#L206">206</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> coefficients[] = <strong class="jxr_keyword">new</strong> <strong class="jxr_keyword">double</strong>[4];
+<a class="jxr_linenumber" name="L207" href="#L207">207</a> 
+<a class="jxr_linenumber" name="L208" href="#L208">208</a>         <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; polynomials.length; i++) {
+<a class="jxr_linenumber" name="L209" href="#L209">209</a>             <strong class="jxr_keyword">double</strong> w = xvals[i + 1] - xvals[i];
+<a class="jxr_linenumber" name="L210" href="#L210">210</a>             <strong class="jxr_keyword">double</strong> w2 = w * w;
+<a class="jxr_linenumber" name="L211" href="#L211">211</a>             coefficients[0] = yvals[i];
+<a class="jxr_linenumber" name="L212" href="#L212">212</a>             coefficients[1] = firstDerivatives[i];
+<a class="jxr_linenumber" name="L213" href="#L213">213</a>             coefficients[2] = (3 * (yvals[i + 1] - yvals[i]) / w - 2 *
+<a class="jxr_linenumber" name="L214" href="#L214">214</a>                                firstDerivatives[i] - firstDerivatives[i + 1]) /
+<a class="jxr_linenumber" name="L215" href="#L215">215</a>                               w;
+<a class="jxr_linenumber" name="L216" href="#L216">216</a>             coefficients[3] = (2 * (yvals[i] - yvals[i + 1]) / w +
+<a class="jxr_linenumber" name="L217" href="#L217">217</a>                                firstDerivatives[i] + firstDerivatives[i + 1]) /
+<a class="jxr_linenumber" name="L218" href="#L218">218</a>                               w2;
+<a class="jxr_linenumber" name="L219" href="#L219">219</a>             polynomials[i] = <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html">PolynomialFunction</a>(coefficients);
+<a class="jxr_linenumber" name="L220" href="#L220">220</a>         }
+<a class="jxr_linenumber" name="L221" href="#L221">221</a> 
+<a class="jxr_linenumber" name="L222" href="#L222">222</a>         <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialSplineFunction.html">PolynomialSplineFunction</a>(xvals, polynomials);
+<a class="jxr_linenumber" name="L223" href="#L223">223</a> 
+<a class="jxr_linenumber" name="L224" href="#L224">224</a>     }
+<a class="jxr_linenumber" name="L225" href="#L225">225</a> }
+</pre>
+<hr/>
+<div id="footer">Copyright &#169; 2003&#x2013;2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</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 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>ConstantRealDistribution xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../apidocs/org/apache/commons/math3/distribution/ConstantRealDistribution.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>  
+<a class="jxr_linenumber" name="L18" href="#L18">18</a>  <strong class="jxr_keyword">package</strong> org.apache.commons.math3.distribution;
+<a class="jxr_linenumber" name="L19" href="#L19">19</a>  
+<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.OutOfRangeException;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a>  
+<a class="jxr_linenumber" name="L22" href="#L22">22</a>  <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <em class="jxr_javadoccomment"> * Implementation of the constant real distribution.</em>
+<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <em class="jxr_javadoccomment"> * @since 3.4</em>
+<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L27" href="#L27">27</a>  <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> <a href="../../../../../org/apache/commons/math3/distribution/ConstantRealDistribution.html">ConstantRealDistribution</a> <strong class="jxr_keyword">extends</strong> <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html">AbstractRealDistribution</a> {
+<a class="jxr_linenumber" name="L28" href="#L28">28</a>  
+<a class="jxr_linenumber" name="L29" href="#L29">29</a>      <em class="jxr_javadoccomment">/** Serialization ID */</em>
+<a class="jxr_linenumber" name="L30" href="#L30">30</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">long</strong> serialVersionUID = -4157745166772046273L;
+<a class="jxr_linenumber" name="L31" href="#L31">31</a>  
+<a class="jxr_linenumber" name="L32" href="#L32">32</a>      <em class="jxr_javadoccomment">/** Constant value of the distribution */</em>
+<a class="jxr_linenumber" name="L33" href="#L33">33</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> value;
+<a class="jxr_linenumber" name="L34" href="#L34">34</a>  
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L36" href="#L36">36</a>  <em class="jxr_javadoccomment">     * Create a constant real distribution with the given value.</em>
+<a class="jxr_linenumber" name="L37" href="#L37">37</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L38" href="#L38">38</a>  <em class="jxr_javadoccomment">     * @param value the constant value of this distribution</em>
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L40" href="#L40">40</a>      <strong class="jxr_keyword">public</strong> <a href="../../../../../org/apache/commons/math3/distribution/ConstantRealDistribution.html">ConstantRealDistribution</a>(<strong class="jxr_keyword">double</strong> value) {
+<a class="jxr_linenumber" name="L41" href="#L41">41</a>          <strong class="jxr_keyword">super</strong>(<strong class="jxr_keyword">null</strong>);  <em class="jxr_comment">// Avoid creating RandomGenerator</em>
+<a class="jxr_linenumber" name="L42" href="#L42">42</a>          <strong class="jxr_keyword">this</strong>.value = value;
+<a class="jxr_linenumber" name="L43" href="#L43">43</a>      }
+<a class="jxr_linenumber" name="L44" href="#L44">44</a>  
+<a class="jxr_linenumber" name="L45" href="#L45">45</a>      <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L46" href="#L46">46</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> density(<strong class="jxr_keyword">double</strong> x) {
+<a class="jxr_linenumber" name="L47" href="#L47">47</a>          <strong class="jxr_keyword">return</strong> x == value ? 1 : 0;
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>      }
+<a class="jxr_linenumber" name="L49" href="#L49">49</a>  
+<a class="jxr_linenumber" name="L50" href="#L50">50</a>      <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L51" href="#L51">51</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> cumulativeProbability(<strong class="jxr_keyword">double</strong> x)  {
+<a class="jxr_linenumber" name="L52" href="#L52">52</a>          <strong class="jxr_keyword">return</strong> x &lt; value ? 0 : 1;
+<a class="jxr_linenumber" name="L53" href="#L53">53</a>      }
+<a class="jxr_linenumber" name="L54" href="#L54">54</a>  
+<a class="jxr_linenumber" name="L55" href="#L55">55</a>      @Override
+<a class="jxr_linenumber" name="L56" href="#L56">56</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> inverseCumulativeProbability(<strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p)
+<a class="jxr_linenumber" name="L57" href="#L57">57</a>              <strong class="jxr_keyword">throws</strong> <a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html">OutOfRangeException</a> {
+<a class="jxr_linenumber" name="L58" href="#L58">58</a>          <strong class="jxr_keyword">if</strong> (p &lt; 0.0 || p &gt; 1.0) {
+<a class="jxr_linenumber" name="L59" href="#L59">59</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html">OutOfRangeException</a>(p, 0, 1);
+<a class="jxr_linenumber" name="L60" href="#L60">60</a>          }
+<a class="jxr_linenumber" name="L61" href="#L61">61</a>          <strong class="jxr_keyword">return</strong> value;
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>      }
+<a class="jxr_linenumber" name="L63" href="#L63">63</a>  
+<a class="jxr_linenumber" name="L64" href="#L64">64</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L65" href="#L65">65</a>  <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L66" href="#L66">66</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L67" href="#L67">67</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getNumericalMean() {
+<a class="jxr_linenumber" name="L68" href="#L68">68</a>          <strong class="jxr_keyword">return</strong> value;
+<a class="jxr_linenumber" name="L69" href="#L69">69</a>      }
+<a class="jxr_linenumber" name="L70" href="#L70">70</a>  
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L72" href="#L72">72</a>  <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L73" href="#L73">73</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getNumericalVariance() {
+<a class="jxr_linenumber" name="L75" href="#L75">75</a>          <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L76" href="#L76">76</a>      }
+<a class="jxr_linenumber" name="L77" href="#L77">77</a>  
+<a class="jxr_linenumber" name="L78" href="#L78">78</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L79" href="#L79">79</a>  <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L80" href="#L80">80</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getSupportLowerBound() {
+<a class="jxr_linenumber" name="L82" href="#L82">82</a>          <strong class="jxr_keyword">return</strong> value;
+<a class="jxr_linenumber" name="L83" href="#L83">83</a>      }
+<a class="jxr_linenumber" name="L84" href="#L84">84</a>  
+<a class="jxr_linenumber" name="L85" href="#L85">85</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L86" href="#L86">86</a>  <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L87" href="#L87">87</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L88" href="#L88">88</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getSupportUpperBound() {
+<a class="jxr_linenumber" name="L89" href="#L89">89</a>          <strong class="jxr_keyword">return</strong> value;
+<a class="jxr_linenumber" name="L90" href="#L90">90</a>      }
+<a class="jxr_linenumber" name="L91" href="#L91">91</a>  
+<a class="jxr_linenumber" name="L92" href="#L92">92</a>      <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L93" href="#L93">93</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">boolean</strong> isSupportLowerBoundInclusive() {
+<a class="jxr_linenumber" name="L94" href="#L94">94</a>          <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
+<a class="jxr_linenumber" name="L95" href="#L95">95</a>      }
+<a class="jxr_linenumber" name="L96" href="#L96">96</a>  
+<a class="jxr_linenumber" name="L97" href="#L97">97</a>      <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L98" href="#L98">98</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">boolean</strong> isSupportUpperBoundInclusive() {
+<a class="jxr_linenumber" name="L99" href="#L99">99</a>          <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
+<a class="jxr_linenumber" name="L100" href="#L100">100</a>     }
+<a class="jxr_linenumber" name="L101" href="#L101">101</a> 
+<a class="jxr_linenumber" name="L102" href="#L102">102</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L103" href="#L103">103</a> <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L104" href="#L104">104</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L105" href="#L105">105</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">boolean</strong> isSupportConnected() {
+<a class="jxr_linenumber" name="L106" href="#L106">106</a>         <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
+<a class="jxr_linenumber" name="L107" href="#L107">107</a>     }
+<a class="jxr_linenumber" name="L108" href="#L108">108</a> 
+<a class="jxr_linenumber" name="L109" href="#L109">109</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L110" href="#L110">110</a>     @Override
+<a class="jxr_linenumber" name="L111" href="#L111">111</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> sample()  {
+<a class="jxr_linenumber" name="L112" href="#L112">112</a>         <strong class="jxr_keyword">return</strong> value;
+<a class="jxr_linenumber" name="L113" href="#L113">113</a>     }
+<a class="jxr_linenumber" name="L114" href="#L114">114</a> 
+<a class="jxr_linenumber" name="L115" href="#L115">115</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L116" href="#L116">116</a> <em class="jxr_javadoccomment">     * Override with no-op (there is no generator).</em>
+<a class="jxr_linenumber" name="L117" href="#L117">117</a> <em class="jxr_javadoccomment">     * @param seed (ignored)</em>
+<a class="jxr_linenumber" name="L118" href="#L118">118</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L119" href="#L119">119</a>     @Override
+<a class="jxr_linenumber" name="L120" href="#L120">120</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">void</strong> reseedRandomGenerator(<strong class="jxr_keyword">long</strong> seed) {}
+<a class="jxr_linenumber" name="L121" href="#L121">121</a> }
+</pre>
+<hr/>
+<div id="footer">Copyright &#169; 2003&#x2013;2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</div>
+</body>
+</html>

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@@ -0,0 +1,172 @@
+<!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>GumbelDistribution xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../apidocs/org/apache/commons/math3/distribution/GumbelDistribution.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.distribution;
+<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.exception.NotStrictlyPositiveException;
+<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.OutOfRangeException;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.util.LocalizedFormats;
+<a class="jxr_linenumber" name="L22" href="#L22">22</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.random.RandomGenerator;
+<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.random.Well19937c;
+<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.util.FastMath;
+<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.util.MathUtils;
+<a class="jxr_linenumber" name="L26" href="#L26">26</a>  
+<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"> * This class implements the Gumbel distribution.</em>
+<a class="jxr_linenumber" name="L29" href="#L29">29</a>  <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L30" href="#L30">30</a>  <em class="jxr_javadoccomment"> * @see &lt;a href="<a href="http://en.wikipedia.org/wiki/Gumbel_distribution" target="alexandria_uri">http://en.wikipedia.org/wiki/Gumbel_distribution</a>"&gt;Gumbel Distribution (Wikipedia)&lt;/a&gt;</em>
+<a class="jxr_linenumber" name="L31" href="#L31">31</a>  <em class="jxr_javadoccomment"> * @see &lt;a href="<a href="http://mathworld.wolfram.com/GumbelDistribution.html" target="alexandria_uri">http://mathworld.wolfram.com/GumbelDistribution.html</a>"&gt;Gumbel Distribution (Mathworld)&lt;/a&gt;</em>
+<a class="jxr_linenumber" name="L32" href="#L32">32</a>  <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L33" href="#L33">33</a>  <em class="jxr_javadoccomment"> * @since 3.4</em>
+<a class="jxr_linenumber" name="L34" href="#L34">34</a>  <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>  <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> <a href="../../../../../org/apache/commons/math3/distribution/GumbelDistribution.html">GumbelDistribution</a> <strong class="jxr_keyword">extends</strong> <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html">AbstractRealDistribution</a> {
+<a class="jxr_linenumber" name="L36" href="#L36">36</a>  
+<a class="jxr_linenumber" name="L37" href="#L37">37</a>      <em class="jxr_javadoccomment">/** Serializable version identifier. */</em>
+<a class="jxr_linenumber" name="L38" href="#L38">38</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">long</strong> serialVersionUID = 20141003;
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>  
+<a class="jxr_linenumber" name="L40" href="#L40">40</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L41" href="#L41">41</a>  <em class="jxr_javadoccomment">     * Approximation of Euler's constant</em>
+<a class="jxr_linenumber" name="L42" href="#L42">42</a>  <em class="jxr_javadoccomment">     * see <a href="http://mathworld.wolfram.com/Euler-MascheroniConstantApproximations.htm" target="alexandria_uri">http://mathworld.wolfram.com/Euler-MascheroniConstantApproximations.htm</a>l</em>
+<a class="jxr_linenumber" name="L43" href="#L43">43</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L44" href="#L44">44</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> EULER = FastMath.PI / (2 * FastMath.E);
+<a class="jxr_linenumber" name="L45" href="#L45">45</a>  
+<a class="jxr_linenumber" name="L46" href="#L46">46</a>      <em class="jxr_javadoccomment">/** The location parameter. */</em>
+<a class="jxr_linenumber" name="L47" href="#L47">47</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> mu;
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>      <em class="jxr_javadoccomment">/** The scale parameter. */</em>
+<a class="jxr_linenumber" name="L49" href="#L49">49</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> beta;
+<a class="jxr_linenumber" name="L50" href="#L50">50</a>  
+<a class="jxr_linenumber" name="L51" href="#L51">51</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L52" href="#L52">52</a>  <em class="jxr_javadoccomment">     * Build a new instance.</em>
+<a class="jxr_linenumber" name="L53" href="#L53">53</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L54" href="#L54">54</a>  <em class="jxr_javadoccomment">     * @param mu location parameter</em>
+<a class="jxr_linenumber" name="L55" href="#L55">55</a>  <em class="jxr_javadoccomment">     * @param beta scale parameter (must be positive)</em>
+<a class="jxr_linenumber" name="L56" href="#L56">56</a>  <em class="jxr_javadoccomment">     * @throws NotStrictlyPositiveException if {@code beta &lt;= 0}</em>
+<a class="jxr_linenumber" name="L57" href="#L57">57</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L58" href="#L58">58</a>      <strong class="jxr_keyword">public</strong> <a href="../../../../../org/apache/commons/math3/distribution/GumbelDistribution.html">GumbelDistribution</a>(<strong class="jxr_keyword">double</strong> mu, <strong class="jxr_keyword">double</strong> beta) {
+<a class="jxr_linenumber" name="L59" href="#L59">59</a>          <strong class="jxr_keyword">this</strong>(<strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/random/Well19937c.html">Well19937c</a>(), mu, beta);
+<a class="jxr_linenumber" name="L60" href="#L60">60</a>      }
+<a class="jxr_linenumber" name="L61" href="#L61">61</a>  
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L63" href="#L63">63</a>  <em class="jxr_javadoccomment">     * Build a new instance.</em>
+<a class="jxr_linenumber" name="L64" href="#L64">64</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L65" href="#L65">65</a>  <em class="jxr_javadoccomment">     * @param rng Random number generator</em>
+<a class="jxr_linenumber" name="L66" href="#L66">66</a>  <em class="jxr_javadoccomment">     * @param mu location parameter</em>
+<a class="jxr_linenumber" name="L67" href="#L67">67</a>  <em class="jxr_javadoccomment">     * @param beta scale parameter (must be positive)</em>
+<a class="jxr_linenumber" name="L68" href="#L68">68</a>  <em class="jxr_javadoccomment">     * @throws NotStrictlyPositiveException if {@code beta &lt;= 0}</em>
+<a class="jxr_linenumber" name="L69" href="#L69">69</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L70" href="#L70">70</a>      <strong class="jxr_keyword">public</strong> <a href="../../../../../org/apache/commons/math3/distribution/GumbelDistribution.html">GumbelDistribution</a>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html">RandomGenerator</a> rng, <strong class="jxr_keyword">double</strong> mu, <strong class="jxr_keyword">double</strong> beta) {
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>          <strong class="jxr_keyword">super</strong>(rng);
+<a class="jxr_linenumber" name="L72" href="#L72">72</a>  
+<a class="jxr_linenumber" name="L73" href="#L73">73</a>          <strong class="jxr_keyword">if</strong> (beta &lt;= 0) {
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html">NotStrictlyPositiveException</a>(LocalizedFormats.SCALE, beta);
+<a class="jxr_linenumber" name="L75" href="#L75">75</a>          }
+<a class="jxr_linenumber" name="L76" href="#L76">76</a>  
+<a class="jxr_linenumber" name="L77" href="#L77">77</a>          <strong class="jxr_keyword">this</strong>.beta = beta;
+<a class="jxr_linenumber" name="L78" href="#L78">78</a>          <strong class="jxr_keyword">this</strong>.mu = mu;
+<a class="jxr_linenumber" name="L79" href="#L79">79</a>      }
+<a class="jxr_linenumber" name="L80" href="#L80">80</a>  
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L82" href="#L82">82</a>  <em class="jxr_javadoccomment">     * Access the location parameter, {@code mu}.</em>
+<a class="jxr_linenumber" name="L83" href="#L83">83</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L84" href="#L84">84</a>  <em class="jxr_javadoccomment">     * @return the location parameter.</em>
+<a class="jxr_linenumber" name="L85" href="#L85">85</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L86" href="#L86">86</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getLocation() {
+<a class="jxr_linenumber" name="L87" href="#L87">87</a>          <strong class="jxr_keyword">return</strong> mu;
+<a class="jxr_linenumber" name="L88" href="#L88">88</a>      }
+<a class="jxr_linenumber" name="L89" href="#L89">89</a>  
+<a class="jxr_linenumber" name="L90" href="#L90">90</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L91" href="#L91">91</a>  <em class="jxr_javadoccomment">     * Access the scale parameter, {@code beta}.</em>
+<a class="jxr_linenumber" name="L92" href="#L92">92</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L93" href="#L93">93</a>  <em class="jxr_javadoccomment">     * @return the scale parameter.</em>
+<a class="jxr_linenumber" name="L94" href="#L94">94</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L95" href="#L95">95</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getScale() {
+<a class="jxr_linenumber" name="L96" href="#L96">96</a>          <strong class="jxr_keyword">return</strong> beta;
+<a class="jxr_linenumber" name="L97" href="#L97">97</a>      }
+<a class="jxr_linenumber" name="L98" href="#L98">98</a>  
+<a class="jxr_linenumber" name="L99" href="#L99">99</a>      <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L100" href="#L100">100</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> density(<strong class="jxr_keyword">double</strong> x) {
+<a class="jxr_linenumber" name="L101" href="#L101">101</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> z = (x - mu) / beta;
+<a class="jxr_linenumber" name="L102" href="#L102">102</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> t = FastMath.exp(-z);
+<a class="jxr_linenumber" name="L103" href="#L103">103</a>         <strong class="jxr_keyword">return</strong> FastMath.exp(-z - t) / beta;
+<a class="jxr_linenumber" name="L104" href="#L104">104</a>     }
+<a class="jxr_linenumber" name="L105" href="#L105">105</a> 
+<a class="jxr_linenumber" name="L106" href="#L106">106</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L107" href="#L107">107</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> cumulativeProbability(<strong class="jxr_keyword">double</strong> x) {
+<a class="jxr_linenumber" name="L108" href="#L108">108</a>         <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> z = (x - mu) / beta;
+<a class="jxr_linenumber" name="L109" href="#L109">109</a>         <strong class="jxr_keyword">return</strong> FastMath.exp(-FastMath.exp(-z));
+<a class="jxr_linenumber" name="L110" href="#L110">110</a>     }
+<a class="jxr_linenumber" name="L111" href="#L111">111</a> 
+<a class="jxr_linenumber" name="L112" href="#L112">112</a>     @Override
+<a class="jxr_linenumber" name="L113" href="#L113">113</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> inverseCumulativeProbability(<strong class="jxr_keyword">double</strong> p) <strong class="jxr_keyword">throws</strong> OutOfRangeException {
+<a class="jxr_linenumber" name="L114" href="#L114">114</a>         <strong class="jxr_keyword">if</strong> (p &lt; 0.0 || p &gt; 1.0) {
+<a class="jxr_linenumber" name="L115" href="#L115">115</a>             <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html">OutOfRangeException</a>(p, 0.0, 1.0);
+<a class="jxr_linenumber" name="L116" href="#L116">116</a>         } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (p == 0) {
+<a class="jxr_linenumber" name="L117" href="#L117">117</a>             <strong class="jxr_keyword">return</strong> Double.NEGATIVE_INFINITY;
+<a class="jxr_linenumber" name="L118" href="#L118">118</a>         } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (p == 1) {
+<a class="jxr_linenumber" name="L119" href="#L119">119</a>             <strong class="jxr_keyword">return</strong> Double.POSITIVE_INFINITY;
+<a class="jxr_linenumber" name="L120" href="#L120">120</a>         }
+<a class="jxr_linenumber" name="L121" href="#L121">121</a>         <strong class="jxr_keyword">return</strong> mu - FastMath.log(-FastMath.log(p)) * beta;
+<a class="jxr_linenumber" name="L122" href="#L122">122</a>     }
+<a class="jxr_linenumber" name="L123" href="#L123">123</a> 
+<a class="jxr_linenumber" name="L124" href="#L124">124</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L125" href="#L125">125</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getNumericalMean() {
+<a class="jxr_linenumber" name="L126" href="#L126">126</a>         <strong class="jxr_keyword">return</strong> mu + EULER * beta;
+<a class="jxr_linenumber" name="L127" href="#L127">127</a>     }
+<a class="jxr_linenumber" name="L128" href="#L128">128</a> 
+<a class="jxr_linenumber" name="L129" href="#L129">129</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L130" href="#L130">130</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getNumericalVariance() {
+<a class="jxr_linenumber" name="L131" href="#L131">131</a>         <strong class="jxr_keyword">return</strong> (MathUtils.PI_SQUARED) / 6.0 * (beta * beta);
+<a class="jxr_linenumber" name="L132" href="#L132">132</a>     }
+<a class="jxr_linenumber" name="L133" href="#L133">133</a> 
+<a class="jxr_linenumber" name="L134" href="#L134">134</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L135" href="#L135">135</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getSupportLowerBound() {
+<a class="jxr_linenumber" name="L136" href="#L136">136</a>         <strong class="jxr_keyword">return</strong> Double.NEGATIVE_INFINITY;
+<a class="jxr_linenumber" name="L137" href="#L137">137</a>     }
+<a class="jxr_linenumber" name="L138" href="#L138">138</a> 
+<a class="jxr_linenumber" name="L139" href="#L139">139</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L140" href="#L140">140</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getSupportUpperBound() {
+<a class="jxr_linenumber" name="L141" href="#L141">141</a>         <strong class="jxr_keyword">return</strong> Double.POSITIVE_INFINITY;
+<a class="jxr_linenumber" name="L142" href="#L142">142</a>     }
+<a class="jxr_linenumber" name="L143" href="#L143">143</a> 
+<a class="jxr_linenumber" name="L144" href="#L144">144</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L145" href="#L145">145</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">boolean</strong> isSupportLowerBoundInclusive() {
+<a class="jxr_linenumber" name="L146" href="#L146">146</a>         <strong class="jxr_keyword">return</strong> false;
+<a class="jxr_linenumber" name="L147" href="#L147">147</a>     }
+<a class="jxr_linenumber" name="L148" href="#L148">148</a> 
+<a class="jxr_linenumber" name="L149" href="#L149">149</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L150" href="#L150">150</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">boolean</strong> isSupportUpperBoundInclusive() {
+<a class="jxr_linenumber" name="L151" href="#L151">151</a>         <strong class="jxr_keyword">return</strong> false;
+<a class="jxr_linenumber" name="L152" href="#L152">152</a>     }
+<a class="jxr_linenumber" name="L153" href="#L153">153</a> 
+<a class="jxr_linenumber" name="L154" href="#L154">154</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L155" href="#L155">155</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">boolean</strong> isSupportConnected() {
+<a class="jxr_linenumber" name="L156" href="#L156">156</a>         <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
+<a class="jxr_linenumber" name="L157" href="#L157">157</a>     }
+<a class="jxr_linenumber" name="L158" href="#L158">158</a> 
+<a class="jxr_linenumber" name="L159" href="#L159">159</a> }
+</pre>
+<hr/>
+<div id="footer">Copyright &#169; 2003&#x2013;2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</div>
+</body>
+</html>

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