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+<title>AbstractDiscreteDistributionTest xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
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+<body>
+<div id="overview"><a href="../../../../../../testapidocs/org/apache/commons/statistics/distribution/AbstractDiscreteDistributionTest.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>  <strong class="jxr_keyword">package</strong> org.apache.commons.statistics.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> java.util.stream.IntStream;
+<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.Assertions;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.Test;
+<a class="jxr_linenumber" name="L22" href="#L22">22</a>  
+<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <em class="jxr_javadoccomment"> * Test cases for AbstractDiscreteDistribution default implementations.</em>
+<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <strong class="jxr_keyword">class</strong> <a name="AbstractDiscreteDistributionTest" href="../../../../../org/apache/commons/statistics/distribution/AbstractDiscreteDistributionTest.html#AbstractDiscreteDistributionTest">AbstractDiscreteDistributionTest</a> {
+<a class="jxr_linenumber" name="L27" href="#L27">27</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> DiceDistribution diceDistribution = <strong class="jxr_keyword">new</strong> DiceDistribution();
+<a class="jxr_linenumber" name="L28" href="#L28">28</a>  
+<a class="jxr_linenumber" name="L29" href="#L29">29</a>      @Test
+<a class="jxr_linenumber" name="L30" href="#L30">30</a>      <strong class="jxr_keyword">void</strong> testInverseCumulativeProbabilityMethod() {
+<a class="jxr_linenumber" name="L31" href="#L31">31</a>          <em class="jxr_comment">// This must be consistent with its own cumulative probability</em>
+<a class="jxr_linenumber" name="L32" href="#L32">32</a>          <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] p = IntStream.rangeClosed(1, 6).mapToDouble(diceDistribution::cumulativeProbability).toArray();
+<a class="jxr_linenumber" name="L33" href="#L33">33</a>          Assertions.assertEquals(1.0, p[5], <span class="jxr_string">"Incorrect cumulative probability at upper bound"</span>);
+<a class="jxr_linenumber" name="L34" href="#L34">34</a>          Assertions.assertEquals(1, diceDistribution.inverseCumulativeProbability(0));
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>          <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; 6; i++) {
+<a class="jxr_linenumber" name="L36" href="#L36">36</a>              <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> x = i + 1;
+<a class="jxr_linenumber" name="L37" href="#L37">37</a>              Assertions.assertEquals(x, diceDistribution.inverseCumulativeProbability(Math.nextDown(p[i])));
+<a class="jxr_linenumber" name="L38" href="#L38">38</a>              Assertions.assertEquals(x, diceDistribution.inverseCumulativeProbability(p[i]));
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>              <strong class="jxr_keyword">if</strong> (x &lt; 6) {
+<a class="jxr_linenumber" name="L40" href="#L40">40</a>                  Assertions.assertEquals(x + 1, diceDistribution.inverseCumulativeProbability(Math.nextUp(p[i])));
+<a class="jxr_linenumber" name="L41" href="#L41">41</a>              }
+<a class="jxr_linenumber" name="L42" href="#L42">42</a>          }
+<a class="jxr_linenumber" name="L43" href="#L43">43</a>      }
+<a class="jxr_linenumber" name="L44" href="#L44">44</a>  
+<a class="jxr_linenumber" name="L45" href="#L45">45</a>      @Test
+<a class="jxr_linenumber" name="L46" href="#L46">46</a>      <strong class="jxr_keyword">void</strong> testInverseSurvivalProbabilityMethod() {
+<a class="jxr_linenumber" name="L47" href="#L47">47</a>          <em class="jxr_comment">// This must be consistent with its own survival probability</em>
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>          <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] p = IntStream.rangeClosed(1, 6).mapToDouble(diceDistribution::survivalProbability).toArray();
+<a class="jxr_linenumber" name="L49" href="#L49">49</a>          Assertions.assertEquals(0.0, p[5], <span class="jxr_string">"Incorrect survival probability at upper bound"</span>);
+<a class="jxr_linenumber" name="L50" href="#L50">50</a>          Assertions.assertEquals(1, diceDistribution.inverseSurvivalProbability(1));
+<a class="jxr_linenumber" name="L51" href="#L51">51</a>          <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; 6; i++) {
+<a class="jxr_linenumber" name="L52" href="#L52">52</a>              <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> x = i + 1;
+<a class="jxr_linenumber" name="L53" href="#L53">53</a>              Assertions.assertEquals(x, diceDistribution.inverseSurvivalProbability(Math.nextUp(p[i])));
+<a class="jxr_linenumber" name="L54" href="#L54">54</a>              Assertions.assertEquals(x, diceDistribution.inverseSurvivalProbability(p[i]));
+<a class="jxr_linenumber" name="L55" href="#L55">55</a>              <strong class="jxr_keyword">if</strong> (x &lt; 6) {
+<a class="jxr_linenumber" name="L56" href="#L56">56</a>                  Assertions.assertEquals(x + 1, diceDistribution.inverseSurvivalProbability(Math.nextDown(p[i])));
+<a class="jxr_linenumber" name="L57" href="#L57">57</a>              }
+<a class="jxr_linenumber" name="L58" href="#L58">58</a>          }
+<a class="jxr_linenumber" name="L59" href="#L59">59</a>      }
+<a class="jxr_linenumber" name="L60" href="#L60">60</a>  
+<a class="jxr_linenumber" name="L61" href="#L61">61</a>      @Test
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>      <strong class="jxr_keyword">void</strong> testCumulativeProbabilitiesSingleArguments() {
+<a class="jxr_linenumber" name="L63" href="#L63">63</a>          <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p = diceDistribution.probability(1);
+<a class="jxr_linenumber" name="L64" href="#L64">64</a>          <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 1; i &lt;= 6; i++) {
+<a class="jxr_linenumber" name="L65" href="#L65">65</a>              Assertions.assertEquals(p * i,
+<a class="jxr_linenumber" name="L66" href="#L66">66</a>                      diceDistribution.cumulativeProbability(i), Math.ulp(p * i));
+<a class="jxr_linenumber" name="L67" href="#L67">67</a>          }
+<a class="jxr_linenumber" name="L68" href="#L68">68</a>          Assertions.assertEquals(0.0, diceDistribution.cumulativeProbability(0));
+<a class="jxr_linenumber" name="L69" href="#L69">69</a>          Assertions.assertEquals(1.0, diceDistribution.cumulativeProbability(7));
+<a class="jxr_linenumber" name="L70" href="#L70">70</a>      }
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>  
+<a class="jxr_linenumber" name="L72" href="#L72">72</a>      @Test
+<a class="jxr_linenumber" name="L73" href="#L73">73</a>      <strong class="jxr_keyword">void</strong> testProbabilitiesRangeArguments() {
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>          <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p = diceDistribution.probability(1);
+<a class="jxr_linenumber" name="L75" href="#L75">75</a>          <strong class="jxr_keyword">int</strong> lower = 0;
+<a class="jxr_linenumber" name="L76" href="#L76">76</a>          <strong class="jxr_keyword">int</strong> upper = 6;
+<a class="jxr_linenumber" name="L77" href="#L77">77</a>          <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; 2; i++) {
+<a class="jxr_linenumber" name="L78" href="#L78">78</a>              <em class="jxr_comment">// cum(0,6) = p(0 &lt; X &lt;= 6) = 1, cum(1,5) = 4/6, cum(2,4) = 2/6</em>
+<a class="jxr_linenumber" name="L79" href="#L79">79</a>              Assertions.assertEquals(1 - p * 2 * i,
+<a class="jxr_linenumber" name="L80" href="#L80">80</a>                      diceDistribution.probability(lower, upper), 1E-12);
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>              lower++;
+<a class="jxr_linenumber" name="L82" href="#L82">82</a>              upper--;
+<a class="jxr_linenumber" name="L83" href="#L83">83</a>          }
+<a class="jxr_linenumber" name="L84" href="#L84">84</a>          <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i &lt; 6; i++) {
+<a class="jxr_linenumber" name="L85" href="#L85">85</a>              Assertions.assertEquals(p, diceDistribution.probability(i, i + 1), 1E-12);
+<a class="jxr_linenumber" name="L86" href="#L86">86</a>          }
+<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>      @Test
+<a class="jxr_linenumber" name="L90" href="#L90">90</a>      <strong class="jxr_keyword">void</strong> testInverseCumulativeProbabilityExtremes() {
+<a class="jxr_linenumber" name="L91" href="#L91">91</a>          <em class="jxr_comment">// Require a lower bound of MIN_VALUE and the cumulative probability</em>
+<a class="jxr_linenumber" name="L92" href="#L92">92</a>          <em class="jxr_comment">// at that bound to be lower/higher than the argument cumulative probability.</em>
+<a class="jxr_linenumber" name="L93" href="#L93">93</a>          <em class="jxr_comment">// Use a uniform distribution so that the default search is supported</em>
+<a class="jxr_linenumber" name="L94" href="#L94">94</a>          <em class="jxr_comment">// for the inverse.</em>
+<a class="jxr_linenumber" name="L95" href="#L95">95</a>          <strong class="jxr_keyword">final</strong> DiscreteDistribution dist = <strong class="jxr_keyword">new</strong> AbstractDiscreteDistribution() {
+<a class="jxr_linenumber" name="L96" href="#L96">96</a>              @Override
+<a class="jxr_linenumber" name="L97" href="#L97">97</a>              <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> probability(<strong class="jxr_keyword">int</strong> x) {
+<a class="jxr_linenumber" name="L98" href="#L98">98</a>                  <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> AssertionError();
+<a class="jxr_linenumber" name="L99" href="#L99">99</a>              }
+<a class="jxr_linenumber" name="L100" href="#L100">100</a>             @Override
+<a class="jxr_linenumber" name="L101" href="#L101">101</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> cumulativeProbability(<strong class="jxr_keyword">int</strong> x) {
+<a class="jxr_linenumber" name="L102" href="#L102">102</a>                 <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> y = x - Integer.MIN_VALUE;
+<a class="jxr_linenumber" name="L103" href="#L103">103</a>                 <strong class="jxr_keyword">if</strong> (y == 0) {
+<a class="jxr_linenumber" name="L104" href="#L104">104</a>                     <strong class="jxr_keyword">return</strong> 0.25;
+<a class="jxr_linenumber" name="L105" href="#L105">105</a>                 } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (y == 1) {
+<a class="jxr_linenumber" name="L106" href="#L106">106</a>                     <strong class="jxr_keyword">return</strong> 0.5;
+<a class="jxr_linenumber" name="L107" href="#L107">107</a>                 } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (y == 2) {
+<a class="jxr_linenumber" name="L108" href="#L108">108</a>                     <strong class="jxr_keyword">return</strong> 0.75;
+<a class="jxr_linenumber" name="L109" href="#L109">109</a>                 } <strong class="jxr_keyword">else</strong> {
+<a class="jxr_linenumber" name="L110" href="#L110">110</a>                     <strong class="jxr_keyword">return</strong> 1.0;
+<a class="jxr_linenumber" name="L111" href="#L111">111</a>                 }
+<a class="jxr_linenumber" name="L112" href="#L112">112</a>             }
+<a class="jxr_linenumber" name="L113" href="#L113">113</a>             @Override
+<a class="jxr_linenumber" name="L114" href="#L114">114</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getMean() {
+<a class="jxr_linenumber" name="L115" href="#L115">115</a>                 <strong class="jxr_keyword">return</strong> 1.5 + Integer.MIN_VALUE;
+<a class="jxr_linenumber" name="L116" href="#L116">116</a>             }
+<a class="jxr_linenumber" name="L117" href="#L117">117</a>             @Override
+<a class="jxr_linenumber" name="L118" href="#L118">118</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getVariance() {
+<a class="jxr_linenumber" name="L119" href="#L119">119</a>                 <em class="jxr_comment">// n = upper - lower + 1, the variance is (n^2 - 1) / 12</em>
+<a class="jxr_linenumber" name="L120" href="#L120">120</a>                 <strong class="jxr_keyword">return</strong> 15.0 / 12;
+<a class="jxr_linenumber" name="L121" href="#L121">121</a>             }
+<a class="jxr_linenumber" name="L122" href="#L122">122</a>             @Override
+<a class="jxr_linenumber" name="L123" href="#L123">123</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> getSupportLowerBound() {
+<a class="jxr_linenumber" name="L124" href="#L124">124</a>                 <strong class="jxr_keyword">return</strong> Integer.MIN_VALUE;
+<a class="jxr_linenumber" name="L125" href="#L125">125</a>             }
+<a class="jxr_linenumber" name="L126" href="#L126">126</a>             @Override
+<a class="jxr_linenumber" name="L127" href="#L127">127</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> getSupportUpperBound() {
+<a class="jxr_linenumber" name="L128" href="#L128">128</a>                 <strong class="jxr_keyword">return</strong> Integer.MIN_VALUE + 3;
+<a class="jxr_linenumber" name="L129" href="#L129">129</a>             }
+<a class="jxr_linenumber" name="L130" href="#L130">130</a>         };
+<a class="jxr_linenumber" name="L131" href="#L131">131</a>         Assertions.assertEquals(dist.getSupportLowerBound(), dist.inverseCumulativeProbability(0.0));
+<a class="jxr_linenumber" name="L132" href="#L132">132</a>         Assertions.assertEquals(Integer.MIN_VALUE, dist.inverseCumulativeProbability(0.05));
+<a class="jxr_linenumber" name="L133" href="#L133">133</a>         Assertions.assertEquals(Integer.MIN_VALUE + 1, dist.inverseCumulativeProbability(0.35));
+<a class="jxr_linenumber" name="L134" href="#L134">134</a>         Assertions.assertEquals(Integer.MIN_VALUE + 2, dist.inverseCumulativeProbability(0.55));
+<a class="jxr_linenumber" name="L135" href="#L135">135</a>         Assertions.assertEquals(dist.getSupportUpperBound(), dist.inverseCumulativeProbability(1.0));
+<a class="jxr_linenumber" name="L136" href="#L136">136</a> 
+<a class="jxr_linenumber" name="L137" href="#L137">137</a>         Assertions.assertEquals(dist.getSupportLowerBound(), dist.inverseSurvivalProbability(1.0));
+<a class="jxr_linenumber" name="L138" href="#L138">138</a>         Assertions.assertEquals(Integer.MIN_VALUE, dist.inverseSurvivalProbability(0.95));
+<a class="jxr_linenumber" name="L139" href="#L139">139</a>         Assertions.assertEquals(Integer.MIN_VALUE + 1, dist.inverseSurvivalProbability(0.65));
+<a class="jxr_linenumber" name="L140" href="#L140">140</a>         Assertions.assertEquals(Integer.MIN_VALUE + 2, dist.inverseSurvivalProbability(0.45));
+<a class="jxr_linenumber" name="L141" href="#L141">141</a>         Assertions.assertEquals(dist.getSupportUpperBound(), dist.inverseSurvivalProbability(0.0));
+<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>     @Test
+<a class="jxr_linenumber" name="L145" href="#L145">145</a>     <strong class="jxr_keyword">void</strong> testInverseCumulativeProbabilityWithNoMean() {
+<a class="jxr_linenumber" name="L146" href="#L146">146</a>         <em class="jxr_comment">// A NaN mean will invalidate the Chebyshev inequality</em>
+<a class="jxr_linenumber" name="L147" href="#L147">147</a>         <em class="jxr_comment">// to prevent bracketing</em>
+<a class="jxr_linenumber" name="L148" href="#L148">148</a>         <strong class="jxr_keyword">final</strong> DiscreteDistribution dist = <strong class="jxr_keyword">new</strong> AbstractDiscreteDistribution() {
+<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> probability(<strong class="jxr_keyword">int</strong> x) {
+<a class="jxr_linenumber" name="L151" href="#L151">151</a>                 <strong class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> AssertionError();
+<a class="jxr_linenumber" name="L152" href="#L152">152</a>             }
+<a class="jxr_linenumber" name="L153" href="#L153">153</a>             @Override
+<a class="jxr_linenumber" name="L154" href="#L154">154</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> cumulativeProbability(<strong class="jxr_keyword">int</strong> x) {
+<a class="jxr_linenumber" name="L155" href="#L155">155</a>                 <strong class="jxr_keyword">if</strong> (x == 0) {
+<a class="jxr_linenumber" name="L156" href="#L156">156</a>                     <strong class="jxr_keyword">return</strong> 0.25;
+<a class="jxr_linenumber" name="L157" href="#L157">157</a>                 } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (x == 1) {
+<a class="jxr_linenumber" name="L158" href="#L158">158</a>                     <strong class="jxr_keyword">return</strong> 0.5;
+<a class="jxr_linenumber" name="L159" href="#L159">159</a>                 } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (x == 2) {
+<a class="jxr_linenumber" name="L160" href="#L160">160</a>                     <strong class="jxr_keyword">return</strong> 0.75;
+<a class="jxr_linenumber" name="L161" href="#L161">161</a>                 } <strong class="jxr_keyword">else</strong> {
+<a class="jxr_linenumber" name="L162" href="#L162">162</a>                     <strong class="jxr_keyword">return</strong> 1.0;
+<a class="jxr_linenumber" name="L163" href="#L163">163</a>                 }
+<a class="jxr_linenumber" name="L164" href="#L164">164</a>             }
+<a class="jxr_linenumber" name="L165" href="#L165">165</a>             @Override
+<a class="jxr_linenumber" name="L166" href="#L166">166</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getMean() {
+<a class="jxr_linenumber" name="L167" href="#L167">167</a>                 <strong class="jxr_keyword">return</strong> Double.NaN;
+<a class="jxr_linenumber" name="L168" href="#L168">168</a>             }
+<a class="jxr_linenumber" name="L169" href="#L169">169</a>             @Override
+<a class="jxr_linenumber" name="L170" href="#L170">170</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getVariance() {
+<a class="jxr_linenumber" name="L171" href="#L171">171</a>                 <strong class="jxr_keyword">return</strong> Double.NaN;
+<a class="jxr_linenumber" name="L172" href="#L172">172</a>             }
+<a class="jxr_linenumber" name="L173" href="#L173">173</a>             @Override
+<a class="jxr_linenumber" name="L174" href="#L174">174</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> getSupportLowerBound() {
+<a class="jxr_linenumber" name="L175" href="#L175">175</a>                 <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L176" href="#L176">176</a>             }
+<a class="jxr_linenumber" name="L177" href="#L177">177</a>             @Override
+<a class="jxr_linenumber" name="L178" href="#L178">178</a>             <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> getSupportUpperBound() {
+<a class="jxr_linenumber" name="L179" href="#L179">179</a>                 <strong class="jxr_keyword">return</strong> 3;
+<a class="jxr_linenumber" name="L180" href="#L180">180</a>             }
+<a class="jxr_linenumber" name="L181" href="#L181">181</a>         };
+<a class="jxr_linenumber" name="L182" href="#L182">182</a>         Assertions.assertEquals(dist.getSupportLowerBound(), dist.inverseCumulativeProbability(0.0));
+<a class="jxr_linenumber" name="L183" href="#L183">183</a>         Assertions.assertEquals(0, dist.inverseCumulativeProbability(0.05));
+<a class="jxr_linenumber" name="L184" href="#L184">184</a>         Assertions.assertEquals(1, dist.inverseCumulativeProbability(0.35));
+<a class="jxr_linenumber" name="L185" href="#L185">185</a>         Assertions.assertEquals(2, dist.inverseCumulativeProbability(0.55));
+<a class="jxr_linenumber" name="L186" href="#L186">186</a>         Assertions.assertEquals(dist.getSupportUpperBound(), dist.inverseCumulativeProbability(1.0));
+<a class="jxr_linenumber" name="L187" href="#L187">187</a> 
+<a class="jxr_linenumber" name="L188" href="#L188">188</a>         Assertions.assertEquals(dist.getSupportLowerBound(), dist.inverseSurvivalProbability(1.0));
+<a class="jxr_linenumber" name="L189" href="#L189">189</a>         Assertions.assertEquals(0, dist.inverseSurvivalProbability(0.95));
+<a class="jxr_linenumber" name="L190" href="#L190">190</a>         Assertions.assertEquals(1, dist.inverseSurvivalProbability(0.65));
+<a class="jxr_linenumber" name="L191" href="#L191">191</a>         Assertions.assertEquals(2, dist.inverseSurvivalProbability(0.45));
+<a class="jxr_linenumber" name="L192" href="#L192">192</a>         Assertions.assertEquals(dist.getSupportUpperBound(), dist.inverseSurvivalProbability(0.0));
+<a class="jxr_linenumber" name="L193" href="#L193">193</a>     }
+<a class="jxr_linenumber" name="L194" href="#L194">194</a> 
+<a class="jxr_linenumber" name="L195" href="#L195">195</a>     <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L196" href="#L196">196</a> <em class="jxr_javadoccomment">     * Simple distribution modeling a 6-sided die</em>
+<a class="jxr_linenumber" name="L197" href="#L197">197</a> <em class="jxr_javadoccomment">     */</em>
+<a class="jxr_linenumber" name="L198" href="#L198">198</a>     <strong class="jxr_keyword">class</strong> DiceDistribution <strong class="jxr_keyword">extends</strong> AbstractDiscreteDistribution {
+<a class="jxr_linenumber" name="L199" href="#L199">199</a>         <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p = 1d / 6d;
+<a class="jxr_linenumber" name="L200" href="#L200">200</a> 
+<a class="jxr_linenumber" name="L201" href="#L201">201</a>         @Override
+<a class="jxr_linenumber" name="L202" href="#L202">202</a>         <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> probability(<strong class="jxr_keyword">int</strong> x) {
+<a class="jxr_linenumber" name="L203" href="#L203">203</a>             <strong class="jxr_keyword">if</strong> (x &lt; 1 || x &gt; 6) {
+<a class="jxr_linenumber" name="L204" href="#L204">204</a>                 <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L205" href="#L205">205</a>             } <strong class="jxr_keyword">else</strong> {
+<a class="jxr_linenumber" name="L206" href="#L206">206</a>                 <strong class="jxr_keyword">return</strong> p;
+<a class="jxr_linenumber" name="L207" href="#L207">207</a>             }
+<a class="jxr_linenumber" name="L208" href="#L208">208</a>         }
+<a class="jxr_linenumber" name="L209" href="#L209">209</a> 
+<a class="jxr_linenumber" name="L210" href="#L210">210</a>         @Override
+<a class="jxr_linenumber" name="L211" href="#L211">211</a>         <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> cumulativeProbability(<strong class="jxr_keyword">int</strong> x) {
+<a class="jxr_linenumber" name="L212" href="#L212">212</a>             <strong class="jxr_keyword">if</strong> (x &lt; 1) {
+<a class="jxr_linenumber" name="L213" href="#L213">213</a>                 <strong class="jxr_keyword">return</strong> 0;
+<a class="jxr_linenumber" name="L214" href="#L214">214</a>             } <strong class="jxr_keyword">else</strong> <strong class="jxr_keyword">if</strong> (x &gt;= 6) {
+<a class="jxr_linenumber" name="L215" href="#L215">215</a>                 <strong class="jxr_keyword">return</strong> 1;
+<a class="jxr_linenumber" name="L216" href="#L216">216</a>             } <strong class="jxr_keyword">else</strong> {
+<a class="jxr_linenumber" name="L217" href="#L217">217</a>                 <strong class="jxr_keyword">return</strong> x / 6d;
+<a class="jxr_linenumber" name="L218" href="#L218">218</a>             }
+<a class="jxr_linenumber" name="L219" href="#L219">219</a>         }
+<a class="jxr_linenumber" name="L220" href="#L220">220</a> 
+<a class="jxr_linenumber" name="L221" href="#L221">221</a>         @Override
+<a class="jxr_linenumber" name="L222" href="#L222">222</a>         <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getMean() {
+<a class="jxr_linenumber" name="L223" href="#L223">223</a>             <strong class="jxr_keyword">return</strong> 3.5;
+<a class="jxr_linenumber" name="L224" href="#L224">224</a>         }
+<a class="jxr_linenumber" name="L225" href="#L225">225</a> 
+<a class="jxr_linenumber" name="L226" href="#L226">226</a>         @Override
+<a class="jxr_linenumber" name="L227" href="#L227">227</a>         <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> getVariance() {
+<a class="jxr_linenumber" name="L228" href="#L228">228</a>             <strong class="jxr_keyword">return</strong> 70 / 24;  <em class="jxr_comment">// E(X^2) - E(X)^2</em>
+<a class="jxr_linenumber" name="L229" href="#L229">229</a>         }
+<a class="jxr_linenumber" name="L230" href="#L230">230</a> 
+<a class="jxr_linenumber" name="L231" href="#L231">231</a>         @Override
+<a class="jxr_linenumber" name="L232" href="#L232">232</a>         <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> getSupportLowerBound() {
+<a class="jxr_linenumber" name="L233" href="#L233">233</a>             <strong class="jxr_keyword">return</strong> 1;
+<a class="jxr_linenumber" name="L234" href="#L234">234</a>         }
+<a class="jxr_linenumber" name="L235" href="#L235">235</a> 
+<a class="jxr_linenumber" name="L236" href="#L236">236</a>         @Override
+<a class="jxr_linenumber" name="L237" href="#L237">237</a>         <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> getSupportUpperBound() {
+<a class="jxr_linenumber" name="L238" href="#L238">238</a>             <strong class="jxr_keyword">return</strong> 6;
+<a class="jxr_linenumber" name="L239" href="#L239">239</a>         }
+<a class="jxr_linenumber" name="L240" href="#L240">240</a>     }
+<a class="jxr_linenumber" name="L241" href="#L241">241</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>

Added: dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/ArgumentUtilsTest.html
==============================================================================
--- dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/ArgumentUtilsTest.html (added)
+++ dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/ArgumentUtilsTest.html Thu Dec  1 16:47:12 2022
@@ -0,0 +1,66 @@
+<!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>ArgumentUtilsTest xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../testapidocs/org/apache/commons/statistics/distribution/ArgumentUtilsTest.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>  <strong class="jxr_keyword">package</strong> org.apache.commons.statistics.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.junit.jupiter.api.Assertions;
+<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.ParameterizedTest;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.provider.ValueSource;
+<a class="jxr_linenumber" name="L22" href="#L22">22</a>  
+<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <em class="jxr_javadoccomment"> * Test for {@link ArgumentUtils}.</em>
+<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <strong class="jxr_keyword">class</strong> <a name="ArgumentUtilsTest" href="../../../../../org/apache/commons/statistics/distribution/ArgumentUtilsTest.html#ArgumentUtilsTest">ArgumentUtilsTest</a> {
+<a class="jxr_linenumber" name="L27" href="#L27">27</a>      @ParameterizedTest
+<a class="jxr_linenumber" name="L28" href="#L28">28</a>      @ValueSource(doubles = {Double.MIN_VALUE, 1, 2, 3, Double.MAX_VALUE})
+<a class="jxr_linenumber" name="L29" href="#L29">29</a>      <strong class="jxr_keyword">void</strong> testIsFiniteStrictlyPositiveTrue(<strong class="jxr_keyword">double</strong> x) {
+<a class="jxr_linenumber" name="L30" href="#L30">30</a>          Assertions.assertTrue(ArgumentUtils.isFiniteStrictlyPositive(x), () -&gt; Double.toString(x));
+<a class="jxr_linenumber" name="L31" href="#L31">31</a>      }
+<a class="jxr_linenumber" name="L32" href="#L32">32</a>  
+<a class="jxr_linenumber" name="L33" href="#L33">33</a>      @ParameterizedTest
+<a class="jxr_linenumber" name="L34" href="#L34">34</a>      @ValueSource(doubles = {0, -0.0, -Double.MIN_VALUE, -Double.MAX_VALUE,
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>          Double.POSITIVE_INFINITY, Double.NEGATIVE_INFINITY, Double.NaN})
+<a class="jxr_linenumber" name="L36" href="#L36">36</a>      <strong class="jxr_keyword">void</strong> testIsFiniteStrictlyPositiveFalse(<strong class="jxr_keyword">double</strong> x) {
+<a class="jxr_linenumber" name="L37" href="#L37">37</a>          Assertions.assertFalse(ArgumentUtils.isFiniteStrictlyPositive(x), () -&gt; Double.toString(x));
+<a class="jxr_linenumber" name="L38" href="#L38">38</a>      }
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>  
+<a class="jxr_linenumber" name="L40" href="#L40">40</a>      @ParameterizedTest
+<a class="jxr_linenumber" name="L41" href="#L41">41</a>      @ValueSource(doubles = {-0.0, 0.0, Double.MIN_VALUE, 1 - 0x1.0p-53, 1})
+<a class="jxr_linenumber" name="L42" href="#L42">42</a>      <strong class="jxr_keyword">void</strong> testCheckProbability(<strong class="jxr_keyword">double</strong> p) {
+<a class="jxr_linenumber" name="L43" href="#L43">43</a>          Assertions.assertDoesNotThrow(() -&gt; ArgumentUtils.checkProbability(p), () -&gt; Double.toString(p));
+<a class="jxr_linenumber" name="L44" href="#L44">44</a>      }
+<a class="jxr_linenumber" name="L45" href="#L45">45</a>  
+<a class="jxr_linenumber" name="L46" href="#L46">46</a>      @ParameterizedTest
+<a class="jxr_linenumber" name="L47" href="#L47">47</a>      @ValueSource(doubles = {-Double.MIN_VALUE, -0.1, -1, -2, 1.0 + 0x1.0p-52, 1.1, -Double.MAX_VALUE,
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>          Double.POSITIVE_INFINITY, Double.NEGATIVE_INFINITY, Double.NaN})
+<a class="jxr_linenumber" name="L49" href="#L49">49</a>      <strong class="jxr_keyword">void</strong> testCheckProbabilityThrows(<strong class="jxr_keyword">double</strong> p) {
+<a class="jxr_linenumber" name="L50" href="#L50">50</a>          Assertions.assertThrows(IllegalArgumentException.<strong class="jxr_keyword">class</strong>,
+<a class="jxr_linenumber" name="L51" href="#L51">51</a>              () -&gt; ArgumentUtils.checkProbability(p), () -&gt; Double.toString(p));
+<a class="jxr_linenumber" name="L52" href="#L52">52</a>      }
+<a class="jxr_linenumber" name="L53" href="#L53">53</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>