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Posted to commits@commons.apache.org by ah...@apache.org on 2022/12/01 16:47:13 UTC

svn commit: r58392 [46/50] - in /dev/commons/statistics/1.0-RC1: ./ binaries/ site/ site/css/ site/images/ site/images/logos/ site/img/ site/js/ site/release-notes/ site/style/ site/userguide/ site/xref-test/ site/xref-test/org/ site/xref-test/org/apac...

Added: dev/commons/statistics/1.0-RC1/site/xref/org/apache/commons/statistics/distribution/TriangularDistribution.html
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--- dev/commons/statistics/1.0-RC1/site/xref/org/apache/commons/statistics/distribution/TriangularDistribution.html (added)
+++ dev/commons/statistics/1.0-RC1/site/xref/org/apache/commons/statistics/distribution/TriangularDistribution.html Thu Dec  1 16:47:12 2022
@@ -0,0 +1,258 @@
+<!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>TriangularDistribution xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../apidocs/org/apache/commons/statistics/distribution/TriangularDistribution.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-2.0" target="alexandria_uri">http://www.apache.org/licenses/LICENSE-2.0</a></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.statistics.distribution;
+<a class="jxr_linenumber" name="L19" href="#L19">19</a>  
+<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <em class="jxr_javadoccomment"> * Implementation of the triangular distribution.</em>
+<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"> * &lt;p&gt;The probability density function of \( X \) is:</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"> * &lt;p&gt;\[ f(x; a, b, c) = \begin{cases}</em>
+<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <em class="jxr_javadoccomment"> *       \frac{2(x-a)}{(b-a)(c-a)} &amp;amp; \text{for } a \le x \lt c &#92;&#92;</em>
+<a class="jxr_linenumber" name="L27" href="#L27">27</a>  <em class="jxr_javadoccomment"> *       \frac{2}{b-a}             &amp;amp; \text{for } x = c &#92;&#92;</em>
+<a class="jxr_linenumber" name="L28" href="#L28">28</a>  <em class="jxr_javadoccomment"> *       \frac{2(b-x)}{(b-a)(b-c)} &amp;amp; \text{for } c \lt x \le b &#92;&#92;</em>
+<a class="jxr_linenumber" name="L29" href="#L29">29</a>  <em class="jxr_javadoccomment"> *       \end{cases} \]</em>
+<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"> * &lt;p&gt;for \( -\infty \lt a \le c \le b \lt \infty \) and</em>
+<a class="jxr_linenumber" name="L32" href="#L32">32</a>  <em class="jxr_javadoccomment"> * \( x \in [a, b] \).</em>
+<a class="jxr_linenumber" name="L33" href="#L33">33</a>  <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L34" href="#L34">34</a>  <em class="jxr_javadoccomment"> * @see &lt;a href="<a href="https://en.wikipedia.org/wiki/Triangular_distribution" target="alexandria_uri">https://en.wikipedia.org/wiki/Triangular_distribution</a>"&gt;Triangular distribution (Wikipedia)&lt;/a&gt;</em>
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>  <em class="jxr_javadoccomment"> * @see &lt;a href="<a href="https://mathworld.wolfram.com/TriangularDistribution.html" target="alexandria_uri">https://mathworld.wolfram.com/TriangularDistribution.html</a>"&gt;Triangular distribution (MathWorld)&lt;/a&gt;</em>
+<a class="jxr_linenumber" name="L36" href="#L36">36</a>  <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L37" href="#L37">37</a>  <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">class</strong> <a name="TriangularDistribution" href="../../../../../org/apache/commons/statistics/distribution/TriangularDistribution.html#TriangularDistribution">TriangularDistribution</a> <strong class="jxr_keyword">extends</strong> <a name="AbstractContinuousDistribution" href="../../../../../org/apache/commons/statistics/distribution/AbstractContinuousDistribution.html#AbstractContinuousDistribution">AbstractContinuousDistribution</a> {
+<a class="jxr_linenumber" name="L38" href="#L38">38</a>      <em class="jxr_javadoccomment">/** Lower limit of this distribution (inclusive). */</em>
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> a;
+<a class="jxr_linenumber" name="L40" href="#L40">40</a>      <em class="jxr_javadoccomment">/** Upper limit of this distribution (inclusive). */</em>
+<a class="jxr_linenumber" name="L41" href="#L41">41</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> b;
+<a class="jxr_linenumber" name="L42" href="#L42">42</a>      <em class="jxr_javadoccomment">/** Mode of this distribution. */</em>
+<a class="jxr_linenumber" name="L43" href="#L43">43</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> c;
+<a class="jxr_linenumber" name="L44" href="#L44">44</a>      <em class="jxr_javadoccomment">/** Cached value ((b - a) * (c - a). */</em>
+<a class="jxr_linenumber" name="L45" href="#L45">45</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divisor1;
+<a class="jxr_linenumber" name="L46" href="#L46">46</a>      <em class="jxr_javadoccomment">/** Cached value ((b - a) * (b - c)). */</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> divisor2;
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>      <em class="jxr_javadoccomment">/** Cumulative probability at the mode. */</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> cdfMode;
+<a class="jxr_linenumber" name="L50" href="#L50">50</a>      <em class="jxr_javadoccomment">/** Survival probability at the mode. */</em>
+<a class="jxr_linenumber" name="L51" href="#L51">51</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> sfMode;
+<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">     * @param a Lower limit of this distribution (inclusive).</em>
+<a class="jxr_linenumber" name="L55" href="#L55">55</a>  <em class="jxr_javadoccomment">     * @param c Mode of this distribution.</em>
+<a class="jxr_linenumber" name="L56" href="#L56">56</a>  <em class="jxr_javadoccomment">     * @param b Upper limit of this distribution (inclusive).</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">private</strong> <a name="TriangularDistribution" href="../../../../../org/apache/commons/statistics/distribution/TriangularDistribution.html#TriangularDistribution">TriangularDistribution</a>(<strong class="jxr_keyword">double</strong> a,
+<a class="jxr_linenumber" name="L59" href="#L59">59</a>                                     <strong class="jxr_keyword">double</strong> c,
+<a class="jxr_linenumber" name="L60" href="#L60">60</a>                                     <strong class="jxr_keyword">double</strong> b) {
+<a class="jxr_linenumber" name="L61" href="#L61">61</a>          <strong class="jxr_keyword">this</strong>.a = a;
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>          <strong class="jxr_keyword">this</strong>.c = c;
+<a class="jxr_linenumber" name="L63" href="#L63">63</a>          <strong class="jxr_keyword">this</strong>.b = b;
+<a class="jxr_linenumber" name="L64" href="#L64">64</a>          divisor1 = (b - a) * (c - a);
+<a class="jxr_linenumber" name="L65" href="#L65">65</a>          divisor2 = (b - a) * (b - c);
+<a class="jxr_linenumber" name="L66" href="#L66">66</a>          cdfMode = (c - a) / (b - a);
+<a class="jxr_linenumber" name="L67" href="#L67">67</a>          sfMode = (b - c) / (b - a);
+<a class="jxr_linenumber" name="L68" href="#L68">68</a>      }
+<a class="jxr_linenumber" name="L69" href="#L69">69</a>  
+<a class="jxr_linenumber" name="L70" href="#L70">70</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>  <em class="jxr_javadoccomment">     * Creates a triangular distribution.</em>
+<a class="jxr_linenumber" name="L72" href="#L72">72</a>  <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L73" href="#L73">73</a>  <em class="jxr_javadoccomment">     * @param a Lower limit of this distribution (inclusive).</em>
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>  <em class="jxr_javadoccomment">     * @param c Mode of this distribution.</em>
+<a class="jxr_linenumber" name="L75" href="#L75">75</a>  <em class="jxr_javadoccomment">     * @param b Upper limit of this distribution (inclusive).</em>
+<a class="jxr_linenumber" name="L76" href="#L76">76</a>  <em class="jxr_javadoccomment">     * @return the distribution</em>
+<a class="jxr_linenumber" name="L77" href="#L77">77</a>  <em class="jxr_javadoccomment">     * @throws IllegalArgumentException if {@code a &gt;= b}, if {@code c &gt; b} or if</em>
+<a class="jxr_linenumber" name="L78" href="#L78">78</a>  <em class="jxr_javadoccomment">     * {@code c &lt; a}.</em>
+<a class="jxr_linenumber" name="L79" href="#L79">79</a>  <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L80" href="#L80">80</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> <a name="TriangularDistribution" href="../../../../../org/apache/commons/statistics/distribution/TriangularDistribution.html#TriangularDistribution">TriangularDistribution</a> of(<strong class="jxr_keyword">double</strong> a,
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>                                              <strong class="jxr_keyword">double</strong> c,
+<a class="jxr_linenumber" name="L82" href="#L82">82</a>                                              <strong class="jxr_keyword">double</strong> b) {
+<a class="jxr_linenumber" name="L83" href="#L83">83</a>          <strong class="jxr_keyword">if</strong> (a &gt;= b) {
+<a class="jxr_linenumber" name="L84" href="#L84">84</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a name="DistributionException" href="../../../../../org/apache/commons/statistics/distribution/DistributionException.html#DistributionException">DistributionException</a>(DistributionException.INVALID_RANGE_LOW_GTE_HIGH,
+<a class="jxr_linenumber" name="L85" href="#L85">85</a>                                              a, b);
+<a class="jxr_linenumber" name="L86" href="#L86">86</a>          }
+<a class="jxr_linenumber" name="L87" href="#L87">87</a>          <strong class="jxr_keyword">if</strong> (c &lt; a) {
+<a class="jxr_linenumber" name="L88" href="#L88">88</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a name="DistributionException" href="../../../../../org/apache/commons/statistics/distribution/DistributionException.html#DistributionException">DistributionException</a>(DistributionException.TOO_SMALL,
+<a class="jxr_linenumber" name="L89" href="#L89">89</a>                                              c, a);
+<a class="jxr_linenumber" name="L90" href="#L90">90</a>          }
+<a class="jxr_linenumber" name="L91" href="#L91">91</a>          <strong class="jxr_keyword">if</strong> (c &gt; b) {
+<a class="jxr_linenumber" name="L92" href="#L92">92</a>              <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a name="DistributionException" href="../../../../../org/apache/commons/statistics/distribution/DistributionException.html#DistributionException">DistributionException</a>(DistributionException.TOO_LARGE,
+<a class="jxr_linenumber" name="L93" href="#L93">93</a>                                              c, b);
+<a class="jxr_linenumber" name="L94" href="#L94">94</a>          }
+<a class="jxr_linenumber" name="L95" href="#L95">95</a>          <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">new</strong> <a name="TriangularDistribution" href="../../../../../org/apache/commons/statistics/distribution/TriangularDistribution.html#TriangularDistribution">TriangularDistribution</a>(a, c, b);
+<a class="jxr_linenumber" name="L96" href="#L96">96</a>      }
+<a class="jxr_linenumber" name="L97" href="#L97">97</a>  
+<a class="jxr_linenumber" name="L98" href="#L98">98</a>      <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L99" href="#L99">99</a>  <em class="jxr_javadoccomment">     * Gets the mode parameter of this distribution.</em>
+<a class="jxr_linenumber" name="L100" href="#L100">100</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L101" href="#L101">101</a> <em class="jxr_javadoccomment">     * @return the mode.</em>
+<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>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getMode() {
+<a class="jxr_linenumber" name="L104" href="#L104">104</a>         <strong class="jxr_keyword">return</strong> c;
+<a class="jxr_linenumber" name="L105" href="#L105">105</a>     }
+<a class="jxr_linenumber" name="L106" href="#L106">106</a> 
+<a class="jxr_linenumber" name="L107" href="#L107">107</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L108" href="#L108">108</a>     @Override
+<a class="jxr_linenumber" name="L109" href="#L109">109</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="L110" href="#L110">110</a>         <strong class="jxr_keyword">if</strong> (x &lt; a) {
+<a class="jxr_linenumber" name="L111" href="#L111">111</a>             <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L112" href="#L112">112</a>         }
+<a class="jxr_linenumber" name="L113" href="#L113">113</a>         <strong class="jxr_keyword">if</strong> (x &lt; c) {
+<a class="jxr_linenumber" name="L114" href="#L114">114</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divident = 2 * (x - a);
+<a class="jxr_linenumber" name="L115" href="#L115">115</a>             <strong class="jxr_keyword">return</strong> divident / divisor1;
+<a class="jxr_linenumber" name="L116" href="#L116">116</a>         }
+<a class="jxr_linenumber" name="L117" href="#L117">117</a>         <strong class="jxr_keyword">if</strong> (x == c) {
+<a class="jxr_linenumber" name="L118" href="#L118">118</a>             <strong class="jxr_keyword">return</strong> 2 / (b - a);
+<a class="jxr_linenumber" name="L119" href="#L119">119</a>         }
+<a class="jxr_linenumber" name="L120" href="#L120">120</a>         <strong class="jxr_keyword">if</strong> (x &lt;= b) {
+<a class="jxr_linenumber" name="L121" href="#L121">121</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divident = 2 * (b - x);
+<a class="jxr_linenumber" name="L122" href="#L122">122</a>             <strong class="jxr_keyword">return</strong> divident / divisor2;
+<a class="jxr_linenumber" name="L123" href="#L123">123</a>         }
+<a class="jxr_linenumber" name="L124" href="#L124">124</a>         <strong class="jxr_keyword">return</strong> 0;
+<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>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L128" href="#L128">128</a>     @Override
+<a class="jxr_linenumber" name="L129" href="#L129">129</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="L130" href="#L130">130</a>         <strong class="jxr_keyword">if</strong> (x &lt;= a) {
+<a class="jxr_linenumber" name="L131" href="#L131">131</a>             <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L132" href="#L132">132</a>         }
+<a class="jxr_linenumber" name="L133" href="#L133">133</a>         <strong class="jxr_keyword">if</strong> (x &lt; c) {
+<a class="jxr_linenumber" name="L134" href="#L134">134</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divident = (x - a) * (x - a);
+<a class="jxr_linenumber" name="L135" href="#L135">135</a>             <strong class="jxr_keyword">return</strong> divident / divisor1;
+<a class="jxr_linenumber" name="L136" href="#L136">136</a>         }
+<a class="jxr_linenumber" name="L137" href="#L137">137</a>         <strong class="jxr_keyword">if</strong> (x == c) {
+<a class="jxr_linenumber" name="L138" href="#L138">138</a>             <strong class="jxr_keyword">return</strong> cdfMode;
+<a class="jxr_linenumber" name="L139" href="#L139">139</a>         }
+<a class="jxr_linenumber" name="L140" href="#L140">140</a>         <strong class="jxr_keyword">if</strong> (x &lt; b) {
+<a class="jxr_linenumber" name="L141" href="#L141">141</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divident = (b - x) * (b - x);
+<a class="jxr_linenumber" name="L142" href="#L142">142</a>             <strong class="jxr_keyword">return</strong> 1 - (divident / divisor2);
+<a class="jxr_linenumber" name="L143" href="#L143">143</a>         }
+<a class="jxr_linenumber" name="L144" href="#L144">144</a>         <strong class="jxr_keyword">return</strong> 1;
+<a class="jxr_linenumber" name="L145" href="#L145">145</a>     }
+<a class="jxr_linenumber" name="L146" href="#L146">146</a> 
+<a class="jxr_linenumber" name="L147" href="#L147">147</a> 
+<a class="jxr_linenumber" name="L148" href="#L148">148</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L149" href="#L149">149</a>     @Override
+<a class="jxr_linenumber" name="L150" href="#L150">150</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> survivalProbability(<strong class="jxr_keyword">double</strong> x)  {
+<a class="jxr_linenumber" name="L151" href="#L151">151</a>         <em class="jxr_comment">// By symmetry:</em>
+<a class="jxr_linenumber" name="L152" href="#L152">152</a>         <strong class="jxr_keyword">if</strong> (x &lt;= a) {
+<a class="jxr_linenumber" name="L153" href="#L153">153</a>             <strong class="jxr_keyword">return</strong> 1;
+<a class="jxr_linenumber" name="L154" href="#L154">154</a>         }
+<a class="jxr_linenumber" name="L155" href="#L155">155</a>         <strong class="jxr_keyword">if</strong> (x &lt; c) {
+<a class="jxr_linenumber" name="L156" href="#L156">156</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divident = (x - a) * (x - a);
+<a class="jxr_linenumber" name="L157" href="#L157">157</a>             <strong class="jxr_keyword">return</strong> 1 - (divident / divisor1);
+<a class="jxr_linenumber" name="L158" href="#L158">158</a>         }
+<a class="jxr_linenumber" name="L159" href="#L159">159</a>         <strong class="jxr_keyword">if</strong> (x == c) {
+<a class="jxr_linenumber" name="L160" href="#L160">160</a>             <strong class="jxr_keyword">return</strong> sfMode;
+<a class="jxr_linenumber" name="L161" href="#L161">161</a>         }
+<a class="jxr_linenumber" name="L162" href="#L162">162</a>         <strong class="jxr_keyword">if</strong> (x &lt; b) {
+<a class="jxr_linenumber" name="L163" href="#L163">163</a>             <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> divident = (b - x) * (b - x);
+<a class="jxr_linenumber" name="L164" href="#L164">164</a>             <strong class="jxr_keyword">return</strong> divident / divisor2;
+<a class="jxr_linenumber" name="L165" href="#L165">165</a>         }
+<a class="jxr_linenumber" name="L166" href="#L166">166</a>         <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L167" href="#L167">167</a>     }
+<a class="jxr_linenumber" name="L168" href="#L168">168</a> 
+<a class="jxr_linenumber" name="L169" href="#L169">169</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L170" href="#L170">170</a>     @Override
+<a class="jxr_linenumber" name="L171" href="#L171">171</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> inverseCumulativeProbability(<strong class="jxr_keyword">double</strong> p) {
+<a class="jxr_linenumber" name="L172" href="#L172">172</a>         ArgumentUtils.checkProbability(p);
+<a class="jxr_linenumber" name="L173" href="#L173">173</a>         <strong class="jxr_keyword">if</strong> (p == 0) {
+<a class="jxr_linenumber" name="L174" href="#L174">174</a>             <strong class="jxr_keyword">return</strong> a;
+<a class="jxr_linenumber" name="L175" href="#L175">175</a>         }
+<a class="jxr_linenumber" name="L176" href="#L176">176</a>         <strong class="jxr_keyword">if</strong> (p == 1) {
+<a class="jxr_linenumber" name="L177" href="#L177">177</a>             <strong class="jxr_keyword">return</strong> b;
+<a class="jxr_linenumber" name="L178" href="#L178">178</a>         }
+<a class="jxr_linenumber" name="L179" href="#L179">179</a>         <strong class="jxr_keyword">if</strong> (p &lt; cdfMode) {
+<a class="jxr_linenumber" name="L180" href="#L180">180</a>             <strong class="jxr_keyword">return</strong> a + Math.sqrt(p * divisor1);
+<a class="jxr_linenumber" name="L181" href="#L181">181</a>         }
+<a class="jxr_linenumber" name="L182" href="#L182">182</a>         <strong class="jxr_keyword">return</strong> b - Math.sqrt((1 - p) * divisor2);
+<a class="jxr_linenumber" name="L183" href="#L183">183</a>     }
+<a class="jxr_linenumber" name="L184" href="#L184">184</a> 
+<a class="jxr_linenumber" name="L185" href="#L185">185</a>     <em class="jxr_javadoccomment">/** {@inheritDoc} */</em>
+<a class="jxr_linenumber" name="L186" href="#L186">186</a>     @Override
+<a class="jxr_linenumber" name="L187" href="#L187">187</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> inverseSurvivalProbability(<strong class="jxr_keyword">double</strong> p) {
+<a class="jxr_linenumber" name="L188" href="#L188">188</a>         <em class="jxr_comment">// By symmetry:</em>
+<a class="jxr_linenumber" name="L189" href="#L189">189</a>         ArgumentUtils.checkProbability(p);
+<a class="jxr_linenumber" name="L190" href="#L190">190</a>         <strong class="jxr_keyword">if</strong> (p == 1) {
+<a class="jxr_linenumber" name="L191" href="#L191">191</a>             <strong class="jxr_keyword">return</strong> a;
+<a class="jxr_linenumber" name="L192" href="#L192">192</a>         }
+<a class="jxr_linenumber" name="L193" href="#L193">193</a>         <strong class="jxr_keyword">if</strong> (p == 0) {
+<a class="jxr_linenumber" name="L194" href="#L194">194</a>             <strong class="jxr_keyword">return</strong> b;
+<a class="jxr_linenumber" name="L195" href="#L195">195</a>         }
+<a class="jxr_linenumber" name="L196" href="#L196">196</a>         <strong class="jxr_keyword">if</strong> (p &gt;= sfMode) {
+<a class="jxr_linenumber" name="L197" href="#L197">197</a>             <strong class="jxr_keyword">return</strong> a + Math.sqrt((1 - p) * divisor1);
+<a class="jxr_linenumber" name="L198" href="#L198">198</a>         }
+<a class="jxr_linenumber" name="L199" href="#L199">199</a>         <strong class="jxr_keyword">return</strong> b - Math.sqrt(p * divisor2);
+<a class="jxr_linenumber" name="L200" href="#L200">200</a>     }
+<a class="jxr_linenumber" name="L201" href="#L201">201</a> 
+<a class="jxr_linenumber" name="L202" href="#L202">202</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L203" href="#L203">203</a> <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L204" href="#L204">204</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L205" href="#L205">205</a> <em class="jxr_javadoccomment">     * &lt;p&gt;For lower limit \( a \), upper limit \( b \), and mode \( c \),</em>
+<a class="jxr_linenumber" name="L206" href="#L206">206</a> <em class="jxr_javadoccomment">     * the mean is \( (a + b + c) / 3 \).</em>
+<a class="jxr_linenumber" name="L207" href="#L207">207</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L208" href="#L208">208</a>     @Override
+<a class="jxr_linenumber" name="L209" href="#L209">209</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getMean() {
+<a class="jxr_linenumber" name="L210" href="#L210">210</a>         <strong class="jxr_keyword">return</strong> (a + b + c) / 3;
+<a class="jxr_linenumber" name="L211" href="#L211">211</a>     }
+<a class="jxr_linenumber" name="L212" href="#L212">212</a> 
+<a class="jxr_linenumber" name="L213" href="#L213">213</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L214" href="#L214">214</a> <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L215" href="#L215">215</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L216" href="#L216">216</a> <em class="jxr_javadoccomment">     * &lt;p&gt;For lower limit \( a \), upper limit \( b \), and mode \( c \),</em>
+<a class="jxr_linenumber" name="L217" href="#L217">217</a> <em class="jxr_javadoccomment">     * the variance is \( (a^2 + b^2 + c^2 - ab - ac - bc) / 18 \).</em>
+<a class="jxr_linenumber" name="L218" href="#L218">218</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L219" href="#L219">219</a>     @Override
+<a class="jxr_linenumber" name="L220" href="#L220">220</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getVariance() {
+<a class="jxr_linenumber" name="L221" href="#L221">221</a>         <strong class="jxr_keyword">return</strong> (a * a + b * b + c * c - a * b - a * c - b * c) / 18;
+<a class="jxr_linenumber" name="L222" href="#L222">222</a>     }
+<a class="jxr_linenumber" name="L223" href="#L223">223</a> 
+<a class="jxr_linenumber" name="L224" href="#L224">224</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L225" href="#L225">225</a> <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L226" href="#L226">226</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L227" href="#L227">227</a> <em class="jxr_javadoccomment">     * &lt;p&gt;The lower bound of the support is equal to the lower limit parameter</em>
+<a class="jxr_linenumber" name="L228" href="#L228">228</a> <em class="jxr_javadoccomment">     * {@code a} of the distribution.</em>
+<a class="jxr_linenumber" name="L229" href="#L229">229</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L230" href="#L230">230</a>     @Override
+<a class="jxr_linenumber" name="L231" href="#L231">231</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getSupportLowerBound() {
+<a class="jxr_linenumber" name="L232" href="#L232">232</a>         <strong class="jxr_keyword">return</strong> a;
+<a class="jxr_linenumber" name="L233" href="#L233">233</a>     }
+<a class="jxr_linenumber" name="L234" href="#L234">234</a> 
+<a class="jxr_linenumber" name="L235" href="#L235">235</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L236" href="#L236">236</a> <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
+<a class="jxr_linenumber" name="L237" href="#L237">237</a> <em class="jxr_javadoccomment">     *</em>
+<a class="jxr_linenumber" name="L238" href="#L238">238</a> <em class="jxr_javadoccomment">     * &lt;p&gt;The upper bound of the support is equal to the upper limit parameter</em>
+<a class="jxr_linenumber" name="L239" href="#L239">239</a> <em class="jxr_javadoccomment">     * {@code b} of the distribution.</em>
+<a class="jxr_linenumber" name="L240" href="#L240">240</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L241" href="#L241">241</a>     @Override
+<a class="jxr_linenumber" name="L242" href="#L242">242</a>     <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getSupportUpperBound() {
+<a class="jxr_linenumber" name="L243" href="#L243">243</a>         <strong class="jxr_keyword">return</strong> b;
+<a class="jxr_linenumber" name="L244" href="#L244">244</a>     }
+<a class="jxr_linenumber" name="L245" href="#L245">245</a> }
+</pre>
+<hr/>
+<div id="footer">Copyright &#169; 2018&#x2013;2022 <a href="https://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</div>
+</body>
+</html>