You are viewing a plain text version of this content. The canonical link for it is here.
Posted to commits@commons.apache.org by ah...@apache.org on 2022/12/01 16:47:13 UTC
svn commit: r58392 [20/50] - 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-test/org/apache/commons/statistics/distribution/DoubleTolerancesTest.html
==============================================================================
--- dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/DoubleTolerancesTest.html (added)
+++ dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/DoubleTolerancesTest.html Thu Dec 1 16:47:12 2022
@@ -0,0 +1,357 @@
+<!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>DoubleTolerancesTest xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../testapidocs/org/apache/commons/statistics/distribution/DoubleTolerancesTest.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.apache.commons.rng.UniformRandomProvider;
+<a class="jxr_linenumber" name="L20" href="#L20">20</a> <strong class="jxr_keyword">import</strong> org.apache.commons.rng.simple.RandomSource;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.Assertions;
+<a class="jxr_linenumber" name="L22" href="#L22">22</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.Test;
+<a class="jxr_linenumber" name="L23" href="#L23">23</a>
+<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"> * Test cases for {@link DoubleTolerance} instances create by {@link DoubleTolerances}.</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">class</strong> <a name="DoubleTolerancesTest" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerancesTest.html#DoubleTolerancesTest">DoubleTolerancesTest</a> {
+<a class="jxr_linenumber" name="L28" href="#L28">28</a> @Test
+<a class="jxr_linenumber" name="L29" href="#L29">29</a> <strong class="jxr_keyword">void</strong> testEquals() {
+<a class="jxr_linenumber" name="L30" href="#L30">30</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tol = DoubleTolerances.equals();
+<a class="jxr_linenumber" name="L31" href="#L31">31</a> Assertions.assertEquals(<span class="jxr_string">"exact"</span>, StringUtils.toString(tol));
+<a class="jxr_linenumber" name="L32" href="#L32">32</a> <em class="jxr_comment">// Standard tests</em>
+<a class="jxr_linenumber" name="L33" href="#L33">33</a> Assertions.assertTrue(tol.test(1.5, 1.5));
+<a class="jxr_linenumber" name="L34" href="#L34">34</a> Assertions.assertFalse(tol.test(1.5, 1.51));
+<a class="jxr_linenumber" name="L35" href="#L35">35</a> Assertions.assertFalse(tol.test(1.5, 1.50001));
+<a class="jxr_linenumber" name="L36" href="#L36">36</a> Assertions.assertFalse(tol.test(1.5, Math.nextDown(1.5)));
+<a class="jxr_linenumber" name="L37" href="#L37">37</a> Assertions.assertFalse(tol.test(0.0, -0.0));
+<a class="jxr_linenumber" name="L38" href="#L38">38</a> Assertions.assertFalse(tol.test(0.0, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L39" href="#L39">39</a> Assertions.assertFalse(tol.test(-Double.MIN_VALUE, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L40" href="#L40">40</a> Assertions.assertTrue(tol.test(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L41" href="#L41">41</a> Assertions.assertFalse(tol.test(Double.MAX_VALUE, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L42" href="#L42">42</a> Assertions.assertFalse(tol.test(Double.MAX_VALUE, Math.nextDown(Double.MAX_VALUE)));
+<a class="jxr_linenumber" name="L43" href="#L43">43</a> Assertions.assertFalse(tol.test(1.0, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L44" href="#L44">44</a> Assertions.assertTrue(tol.test(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L45" href="#L45">45</a> Assertions.assertFalse(tol.test(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L46" href="#L46">46</a> Assertions.assertFalse(tol.test(-1.0, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L47" href="#L47">47</a> Assertions.assertTrue(tol.test(Double.NaN, Double.NaN));
+<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">/**</em>
+<a class="jxr_linenumber" name="L51" href="#L51">51</a> <em class="jxr_javadoccomment"> * This should match {@link #testEquals()} with the exception that {@code -0.0 == 0.0}.</em>
+<a class="jxr_linenumber" name="L52" href="#L52">52</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L53" href="#L53">53</a> @Test
+<a class="jxr_linenumber" name="L54" href="#L54">54</a> <strong class="jxr_keyword">void</strong> testUlps0() {
+<a class="jxr_linenumber" name="L55" href="#L55">55</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tol = DoubleTolerances.ulps(0);
+<a class="jxr_linenumber" name="L56" href="#L56">56</a> Assertions.assertEquals(<span class="jxr_string">"ulp=0"</span>, StringUtils.toString(tol));
+<a class="jxr_linenumber" name="L57" href="#L57">57</a> <em class="jxr_comment">// Standard tests</em>
+<a class="jxr_linenumber" name="L58" href="#L58">58</a> Assertions.assertTrue(tol.test(1.5, 1.5));
+<a class="jxr_linenumber" name="L59" href="#L59">59</a> Assertions.assertFalse(tol.test(1.5, 1.51));
+<a class="jxr_linenumber" name="L60" href="#L60">60</a> Assertions.assertFalse(tol.test(1.5, 1.50001));
+<a class="jxr_linenumber" name="L61" href="#L61">61</a> Assertions.assertFalse(tol.test(1.5, Math.nextDown(1.5)));
+<a class="jxr_linenumber" name="L62" href="#L62">62</a> <em class="jxr_comment">// Allow zero equality</em>
+<a class="jxr_linenumber" name="L63" href="#L63">63</a> Assertions.assertTrue(tol.test(0.0, -0.0));
+<a class="jxr_linenumber" name="L64" href="#L64">64</a> Assertions.assertFalse(tol.test(0.0, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L65" href="#L65">65</a> Assertions.assertFalse(tol.test(-Double.MIN_VALUE, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L66" href="#L66">66</a> Assertions.assertTrue(tol.test(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L67" href="#L67">67</a> Assertions.assertFalse(tol.test(Double.MAX_VALUE, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L68" href="#L68">68</a> Assertions.assertFalse(tol.test(Double.MAX_VALUE, Math.nextDown(Double.MAX_VALUE)));
+<a class="jxr_linenumber" name="L69" href="#L69">69</a> Assertions.assertFalse(tol.test(1.0, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L70" href="#L70">70</a> Assertions.assertTrue(tol.test(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L71" href="#L71">71</a> Assertions.assertFalse(tol.test(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L72" href="#L72">72</a> Assertions.assertFalse(tol.test(-1.0, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L73" href="#L73">73</a> Assertions.assertTrue(tol.test(Double.NaN, Double.NaN));
+<a class="jxr_linenumber" name="L74" href="#L74">74</a> }
+<a class="jxr_linenumber" name="L75" href="#L75">75</a>
+<a class="jxr_linenumber" name="L76" href="#L76">76</a> @Test
+<a class="jxr_linenumber" name="L77" href="#L77">77</a> <strong class="jxr_keyword">void</strong> testUlps1() {
+<a class="jxr_linenumber" name="L78" href="#L78">78</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tol = DoubleTolerances.ulps(1);
+<a class="jxr_linenumber" name="L79" href="#L79">79</a> Assertions.assertEquals(<span class="jxr_string">"ulp=1"</span>, StringUtils.toString(tol));
+<a class="jxr_linenumber" name="L80" href="#L80">80</a> <em class="jxr_comment">// Standard tests</em>
+<a class="jxr_linenumber" name="L81" href="#L81">81</a> Assertions.assertTrue(tol.test(1.5, 1.5));
+<a class="jxr_linenumber" name="L82" href="#L82">82</a> Assertions.assertFalse(tol.test(1.5, 1.51));
+<a class="jxr_linenumber" name="L83" href="#L83">83</a> Assertions.assertFalse(tol.test(1.5, 1.501));
+<a class="jxr_linenumber" name="L84" href="#L84">84</a> Assertions.assertFalse(tol.test(15, 15.01));
+<a class="jxr_linenumber" name="L85" href="#L85">85</a> Assertions.assertTrue(tol.test(1.5, Math.nextDown(1.5)));
+<a class="jxr_linenumber" name="L86" href="#L86">86</a> Assertions.assertTrue(tol.test(0.0, -0.0));
+<a class="jxr_linenumber" name="L87" href="#L87">87</a> Assertions.assertTrue(tol.test(0.0, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L88" href="#L88">88</a> Assertions.assertFalse(tol.test(-Double.MIN_VALUE, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L89" href="#L89">89</a> Assertions.assertTrue(tol.test(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L90" href="#L90">90</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L91" href="#L91">91</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Math.nextDown(Double.MAX_VALUE)));
+<a class="jxr_linenumber" name="L92" href="#L92">92</a> Assertions.assertFalse(tol.test(Double.MAX_VALUE, Math.nextDown(Math.nextDown(Double.MAX_VALUE))));
+<a class="jxr_linenumber" name="L93" href="#L93">93</a> Assertions.assertFalse(tol.test(1.0, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L94" href="#L94">94</a> Assertions.assertTrue(tol.test(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L95" href="#L95">95</a> Assertions.assertTrue(tol.test(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L96" href="#L96">96</a> Assertions.assertFalse(tol.test(-1.0, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L97" href="#L97">97</a> Assertions.assertTrue(tol.test(Double.NaN, Double.NaN));
+<a class="jxr_linenumber" name="L98" href="#L98">98</a> }
+<a class="jxr_linenumber" name="L99" href="#L99">99</a>
+<a class="jxr_linenumber" name="L100" href="#L100">100</a> @Test
+<a class="jxr_linenumber" name="L101" href="#L101">101</a> <strong class="jxr_keyword">void</strong> testAbsolute() {
+<a class="jxr_linenumber" name="L102" href="#L102">102</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> eps = 1e-3;
+<a class="jxr_linenumber" name="L103" href="#L103">103</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tol = DoubleTolerances.absolute(eps);
+<a class="jxr_linenumber" name="L104" href="#L104">104</a> Assertions.assertEquals(<span class="jxr_string">"abs="</span> + eps, StringUtils.toString(tol));
+<a class="jxr_linenumber" name="L105" href="#L105">105</a> <em class="jxr_comment">// Standard tests</em>
+<a class="jxr_linenumber" name="L106" href="#L106">106</a> Assertions.assertTrue(tol.test(1.5, 1.5));
+<a class="jxr_linenumber" name="L107" href="#L107">107</a> Assertions.assertFalse(tol.test(1.5, 1.51));
+<a class="jxr_linenumber" name="L108" href="#L108">108</a> Assertions.assertTrue(tol.test(1.5, 1.501));
+<a class="jxr_linenumber" name="L109" href="#L109">109</a> <em class="jxr_comment">// Not equal absolutely</em>
+<a class="jxr_linenumber" name="L110" href="#L110">110</a> Assertions.assertFalse(tol.test(15, 15.01));
+<a class="jxr_linenumber" name="L111" href="#L111">111</a> Assertions.assertTrue(tol.test(1.5, Math.nextDown(1.5)));
+<a class="jxr_linenumber" name="L112" href="#L112">112</a> Assertions.assertTrue(tol.test(0.0, -0.0));
+<a class="jxr_linenumber" name="L113" href="#L113">113</a> Assertions.assertTrue(tol.test(0.0, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L114" href="#L114">114</a> Assertions.assertTrue(tol.test(-Double.MIN_VALUE, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L115" href="#L115">115</a> Assertions.assertTrue(tol.test(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L116" href="#L116">116</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L117" href="#L117">117</a> <em class="jxr_comment">// 1 ULP is OK</em>
+<a class="jxr_linenumber" name="L118" href="#L118">118</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Math.nextDown(Double.MAX_VALUE)));
+<a class="jxr_linenumber" name="L119" href="#L119">119</a> <em class="jxr_comment">// Not equal as absolute difference is large</em>
+<a class="jxr_linenumber" name="L120" href="#L120">120</a> Assertions.assertFalse(tol.test(Double.MAX_VALUE, Math.nextDown(Math.nextDown(Double.MAX_VALUE))));
+<a class="jxr_linenumber" name="L121" href="#L121">121</a> Assertions.assertFalse(tol.test(1.0, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L122" href="#L122">122</a> Assertions.assertTrue(tol.test(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L123" href="#L123">123</a> Assertions.assertTrue(tol.test(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L124" href="#L124">124</a> Assertions.assertFalse(tol.test(-1.0, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L125" href="#L125">125</a> Assertions.assertTrue(tol.test(Double.NaN, Double.NaN));
+<a class="jxr_linenumber" name="L126" href="#L126">126</a> }
+<a class="jxr_linenumber" name="L127" href="#L127">127</a>
+<a class="jxr_linenumber" name="L128" href="#L128">128</a> @Test
+<a class="jxr_linenumber" name="L129" href="#L129">129</a> <strong class="jxr_keyword">void</strong> testRelative() {
+<a class="jxr_linenumber" name="L130" href="#L130">130</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> eps = 1e-3;
+<a class="jxr_linenumber" name="L131" href="#L131">131</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tol = DoubleTolerances.relative(eps);
+<a class="jxr_linenumber" name="L132" href="#L132">132</a> Assertions.assertEquals(<span class="jxr_string">"rel="</span> + eps, StringUtils.toString(tol));
+<a class="jxr_linenumber" name="L133" href="#L133">133</a> <em class="jxr_comment">// Standard tests</em>
+<a class="jxr_linenumber" name="L134" href="#L134">134</a> Assertions.assertTrue(tol.test(1.5, 1.5));
+<a class="jxr_linenumber" name="L135" href="#L135">135</a> Assertions.assertFalse(tol.test(1.5, 1.51));
+<a class="jxr_linenumber" name="L136" href="#L136">136</a> Assertions.assertTrue(tol.test(1.5, 1.501));
+<a class="jxr_linenumber" name="L137" href="#L137">137</a> <em class="jxr_comment">// Equal relatively</em>
+<a class="jxr_linenumber" name="L138" href="#L138">138</a> Assertions.assertTrue(tol.test(0.15, 0.1501));
+<a class="jxr_linenumber" name="L139" href="#L139">139</a> Assertions.assertTrue(tol.test(1.5, Math.nextDown(1.5)));
+<a class="jxr_linenumber" name="L140" href="#L140">140</a> Assertions.assertTrue(tol.test(0.0, -0.0));
+<a class="jxr_linenumber" name="L141" href="#L141">141</a> Assertions.assertTrue(tol.test(0.0, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L142" href="#L142">142</a> <em class="jxr_comment">// Not equals relatively: due to the sign change the relative difference is big</em>
+<a class="jxr_linenumber" name="L143" href="#L143">143</a> Assertions.assertFalse(tol.test(-Double.MIN_VALUE, Double.MIN_VALUE));
+<a class="jxr_linenumber" name="L144" href="#L144">144</a> Assertions.assertTrue(tol.test(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L145" href="#L145">145</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L146" href="#L146">146</a> <em class="jxr_comment">// Equal as relative difference is small</em>
+<a class="jxr_linenumber" name="L147" href="#L147">147</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Math.nextDown(Double.MAX_VALUE)));
+<a class="jxr_linenumber" name="L148" href="#L148">148</a> Assertions.assertTrue(tol.test(Double.MAX_VALUE, Math.nextDown(Math.nextDown(Double.MAX_VALUE))));
+<a class="jxr_linenumber" name="L149" href="#L149">149</a> Assertions.assertFalse(tol.test(1.0, Double.POSITIVE_INFINITY));
+<a class="jxr_linenumber" name="L150" href="#L150">150</a> Assertions.assertTrue(tol.test(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L151" href="#L151">151</a> Assertions.assertTrue(tol.test(-Double.MAX_VALUE, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L152" href="#L152">152</a> Assertions.assertFalse(tol.test(-1.0, Double.NEGATIVE_INFINITY));
+<a class="jxr_linenumber" name="L153" href="#L153">153</a> <em class="jxr_comment">// Relative error does not check NaN are equal</em>
+<a class="jxr_linenumber" name="L154" href="#L154">154</a> Assertions.assertFalse(tol.test(Double.NaN, Double.NaN));
+<a class="jxr_linenumber" name="L155" href="#L155">155</a> }
+<a class="jxr_linenumber" name="L156" href="#L156">156</a>
+<a class="jxr_linenumber" name="L157" href="#L157">157</a> @Test
+<a class="jxr_linenumber" name="L158" href="#L158">158</a> <strong class="jxr_keyword">void</strong> testMessageFormatting() {
+<a class="jxr_linenumber" name="L159" href="#L159">159</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t1 = DoubleTolerances.equals();
+<a class="jxr_linenumber" name="L160" href="#L160">160</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t2 = DoubleTolerances.ulps(1);
+<a class="jxr_linenumber" name="L161" href="#L161">161</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t3 = DoubleTolerances.absolute(1e-3);
+<a class="jxr_linenumber" name="L162" href="#L162">162</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t4 = DoubleTolerances.relative(1e-4);
+<a class="jxr_linenumber" name="L163" href="#L163">163</a> <strong class="jxr_keyword">final</strong> String s1 = StringUtils.toString(t1);
+<a class="jxr_linenumber" name="L164" href="#L164">164</a> <strong class="jxr_keyword">final</strong> String s2 = StringUtils.toString(t2);
+<a class="jxr_linenumber" name="L165" href="#L165">165</a> <strong class="jxr_keyword">final</strong> String s3 = StringUtils.toString(t3);
+<a class="jxr_linenumber" name="L166" href="#L166">166</a> <strong class="jxr_keyword">final</strong> String s4 = StringUtils.toString(t4);
+<a class="jxr_linenumber" name="L167" href="#L167">167</a>
+<a class="jxr_linenumber" name="L168" href="#L168">168</a> <em class="jxr_comment">// Combination of tolerance descriptions adds parentheses when operators are different.</em>
+<a class="jxr_linenumber" name="L169" href="#L169">169</a> <em class="jxr_comment">// This could be made smarter using operator precedence but it is assumed</em>
+<a class="jxr_linenumber" name="L170" href="#L170">170</a> <em class="jxr_comment">// that not many tolerance objects will be concatenated.</em>
+<a class="jxr_linenumber" name="L171" href="#L171">171</a> Assertions.assertEquals(s1 + <span class="jxr_string">" || "</span> + s2, StringUtils.toString(t1.or(t2)));
+<a class="jxr_linenumber" name="L172" href="#L172">172</a> Assertions.assertEquals(s2 + <span class="jxr_string">" || "</span> + s1, StringUtils.toString(t2.or(t1)));
+<a class="jxr_linenumber" name="L173" href="#L173">173</a> Assertions.assertEquals(s3 + <span class="jxr_string">" || "</span> + s4, StringUtils.toString(t3.or(t4)));
+<a class="jxr_linenumber" name="L174" href="#L174">174</a> Assertions.assertEquals(s3 + <span class="jxr_string">" && "</span> + s4, StringUtils.toString(t3.and(t4)));
+<a class="jxr_linenumber" name="L175" href="#L175">175</a> Assertions.assertEquals(s3 + <span class="jxr_string">" && "</span> + s4 + <span class="jxr_string">" && "</span> + s1,
+<a class="jxr_linenumber" name="L176" href="#L176">176</a> StringUtils.toString(t3.and(t4).and(t1)));
+<a class="jxr_linenumber" name="L177" href="#L177">177</a> Assertions.assertEquals(s3 + <span class="jxr_string">" || "</span> + s4 + <span class="jxr_string">" || "</span> + s1,
+<a class="jxr_linenumber" name="L178" href="#L178">178</a> StringUtils.toString(t3.or(t4).or(t1)));
+<a class="jxr_linenumber" name="L179" href="#L179">179</a> Assertions.assertEquals(<span class="jxr_string">"("</span> + s3 + <span class="jxr_string">" && "</span> + s4 + <span class="jxr_string">") || "</span> + s1,
+<a class="jxr_linenumber" name="L180" href="#L180">180</a> StringUtils.toString(t3.and(t4).or(t1)));
+<a class="jxr_linenumber" name="L181" href="#L181">181</a> Assertions.assertEquals(<span class="jxr_string">"("</span> + s3 + <span class="jxr_string">" && "</span> + s4 + <span class="jxr_string">") || ("</span> + s1 + <span class="jxr_string">" && "</span> + s2 + <span class="jxr_string">")"</span>,
+<a class="jxr_linenumber" name="L182" href="#L182">182</a> StringUtils.toString(t3.and(t4).or(t1.and(t2))));
+<a class="jxr_linenumber" name="L183" href="#L183">183</a> Assertions.assertEquals(s3 + <span class="jxr_string">" && ("</span> + s1 + <span class="jxr_string">" || "</span> + s2 + <span class="jxr_string">")"</span>,
+<a class="jxr_linenumber" name="L184" href="#L184">184</a> StringUtils.toString(t3.and(t1.or(t2))));
+<a class="jxr_linenumber" name="L185" href="#L185">185</a>
+<a class="jxr_linenumber" name="L186" href="#L186">186</a> <em class="jxr_comment">// Negation</em>
+<a class="jxr_linenumber" name="L187" href="#L187">187</a> Assertions.assertEquals(<span class="jxr_string">"!("</span> + s1 + <span class="jxr_string">")"</span>, StringUtils.toString(t1.negate()));
+<a class="jxr_linenumber" name="L188" href="#L188">188</a> Assertions.assertEquals(s1, StringUtils.toString(t1.negate().negate()));
+<a class="jxr_linenumber" name="L189" href="#L189">189</a> Assertions.assertEquals(s1 + <span class="jxr_string">" || !("</span> + s2 + <span class="jxr_string">")"</span>, StringUtils.toString(t1.or(t2.negate())));
+<a class="jxr_linenumber" name="L190" href="#L190">190</a> Assertions.assertEquals(<span class="jxr_string">"!("</span> + s1 + <span class="jxr_string">" || "</span> + s2 + <span class="jxr_string">")"</span>, StringUtils.toString(t1.or(t2).negate()));
+<a class="jxr_linenumber" name="L191" href="#L191">191</a> }
+<a class="jxr_linenumber" name="L192" href="#L192">192</a>
+<a class="jxr_linenumber" name="L193" href="#L193">193</a> @Test
+<a class="jxr_linenumber" name="L194" href="#L194">194</a> <strong class="jxr_keyword">void</strong> testCombinations() {
+<a class="jxr_linenumber" name="L195" href="#L195">195</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> eq = DoubleTolerances.equals();
+<a class="jxr_linenumber" name="L196" href="#L196">196</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> ulp = DoubleTolerances.ulps(2);
+<a class="jxr_linenumber" name="L197" href="#L197">197</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> abs = DoubleTolerances.absolute(1e-3);
+<a class="jxr_linenumber" name="L198" href="#L198">198</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> rel = DoubleTolerances.relative(1e-6);
+<a class="jxr_linenumber" name="L199" href="#L199">199</a>
+<a class="jxr_linenumber" name="L200" href="#L200">200</a> <em class="jxr_comment">// a,b are absolutely equal</em>
+<a class="jxr_linenumber" name="L201" href="#L201">201</a> <em class="jxr_comment">// c,d are absolutely and ulp equal</em>
+<a class="jxr_linenumber" name="L202" href="#L202">202</a> <em class="jxr_comment">// e,f are relatively equal</em>
+<a class="jxr_linenumber" name="L203" href="#L203">203</a> <strong class="jxr_keyword">double</strong> a = 0.12345;
+<a class="jxr_linenumber" name="L204" href="#L204">204</a> <strong class="jxr_keyword">double</strong> b = 0.123456;
+<a class="jxr_linenumber" name="L205" href="#L205">205</a> <strong class="jxr_keyword">double</strong> c = Double.MIN_VALUE;
+<a class="jxr_linenumber" name="L206" href="#L206">206</a> <strong class="jxr_keyword">double</strong> d = -c;
+<a class="jxr_linenumber" name="L207" href="#L207">207</a> <strong class="jxr_keyword">double</strong> e = 12345.67;
+<a class="jxr_linenumber" name="L208" href="#L208">208</a> <strong class="jxr_keyword">double</strong> f = 12345.678;
+<a class="jxr_linenumber" name="L209" href="#L209">209</a>
+<a class="jxr_linenumber" name="L210" href="#L210">210</a> <em class="jxr_comment">// Verify the test conditions</em>
+<a class="jxr_linenumber" name="L211" href="#L211">211</a> Assertions.assertTrue(eq.test(a, a));
+<a class="jxr_linenumber" name="L212" href="#L212">212</a> Assertions.assertTrue(ulp.test(a, a));
+<a class="jxr_linenumber" name="L213" href="#L213">213</a> Assertions.assertTrue(abs.test(a, a));
+<a class="jxr_linenumber" name="L214" href="#L214">214</a> Assertions.assertTrue(abs.test(a, b));
+<a class="jxr_linenumber" name="L215" href="#L215">215</a> Assertions.assertFalse(eq.negate().test(a, a));
+<a class="jxr_linenumber" name="L216" href="#L216">216</a> Assertions.assertFalse(ulp.negate().test(a, a));
+<a class="jxr_linenumber" name="L217" href="#L217">217</a> Assertions.assertFalse(abs.negate().test(a, a));
+<a class="jxr_linenumber" name="L218" href="#L218">218</a> Assertions.assertFalse(abs.negate().test(a, b));
+<a class="jxr_linenumber" name="L219" href="#L219">219</a>
+<a class="jxr_linenumber" name="L220" href="#L220">220</a> Assertions.assertFalse(eq.test(a, b));
+<a class="jxr_linenumber" name="L221" href="#L221">221</a> Assertions.assertFalse(ulp.test(a, b));
+<a class="jxr_linenumber" name="L222" href="#L222">222</a> Assertions.assertTrue(abs.test(a, b), <span class="jxr_string">"absolute"</span>);
+<a class="jxr_linenumber" name="L223" href="#L223">223</a> Assertions.assertFalse(rel.test(a, b));
+<a class="jxr_linenumber" name="L224" href="#L224">224</a>
+<a class="jxr_linenumber" name="L225" href="#L225">225</a> Assertions.assertTrue(eq.test(c, c));
+<a class="jxr_linenumber" name="L226" href="#L226">226</a> Assertions.assertTrue(ulp.test(c, c));
+<a class="jxr_linenumber" name="L227" href="#L227">227</a> Assertions.assertTrue(abs.test(c, c));
+<a class="jxr_linenumber" name="L228" href="#L228">228</a> Assertions.assertTrue(abs.test(c, c));
+<a class="jxr_linenumber" name="L229" href="#L229">229</a>
+<a class="jxr_linenumber" name="L230" href="#L230">230</a> Assertions.assertFalse(eq.test(c, d));
+<a class="jxr_linenumber" name="L231" href="#L231">231</a> Assertions.assertTrue(ulp.test(c, d), <span class="jxr_string">"ulp"</span>);
+<a class="jxr_linenumber" name="L232" href="#L232">232</a> Assertions.assertTrue(abs.test(c, d), <span class="jxr_string">"absolute"</span>);
+<a class="jxr_linenumber" name="L233" href="#L233">233</a> Assertions.assertFalse(rel.test(c, d));
+<a class="jxr_linenumber" name="L234" href="#L234">234</a>
+<a class="jxr_linenumber" name="L235" href="#L235">235</a> Assertions.assertTrue(eq.test(e, e));
+<a class="jxr_linenumber" name="L236" href="#L236">236</a> Assertions.assertTrue(ulp.test(e, e));
+<a class="jxr_linenumber" name="L237" href="#L237">237</a> Assertions.assertTrue(abs.test(e, e));
+<a class="jxr_linenumber" name="L238" href="#L238">238</a> Assertions.assertTrue(abs.test(e, e));
+<a class="jxr_linenumber" name="L239" href="#L239">239</a>
+<a class="jxr_linenumber" name="L240" href="#L240">240</a> Assertions.assertFalse(eq.test(e, f));
+<a class="jxr_linenumber" name="L241" href="#L241">241</a> Assertions.assertFalse(ulp.test(e, f));
+<a class="jxr_linenumber" name="L242" href="#L242">242</a> Assertions.assertFalse(abs.test(e, f));
+<a class="jxr_linenumber" name="L243" href="#L243">243</a> Assertions.assertTrue(rel.test(e, f), <span class="jxr_string">"relative"</span>);
+<a class="jxr_linenumber" name="L244" href="#L244">244</a>
+<a class="jxr_linenumber" name="L245" href="#L245">245</a>
+<a class="jxr_linenumber" name="L246" href="#L246">246</a> <em class="jxr_comment">// Test and/or</em>
+<a class="jxr_linenumber" name="L247" href="#L247">247</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a>[] tol = {eq, ulp, abs, rel};
+<a class="jxr_linenumber" name="L248" href="#L248">248</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[][] pairs = {{a, b}, {c, d}, {e, f}};
+<a class="jxr_linenumber" name="L249" href="#L249">249</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] pair : pairs) {
+<a class="jxr_linenumber" name="L250" href="#L250">250</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = pair[0];
+<a class="jxr_linenumber" name="L251" href="#L251">251</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> y = pair[1];
+<a class="jxr_linenumber" name="L252" href="#L252">252</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t1 : tol) {
+<a class="jxr_linenumber" name="L253" href="#L253">253</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">boolean</strong> ex1 = t1.test(x, y);
+<a class="jxr_linenumber" name="L254" href="#L254">254</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t2 : tol) {
+<a class="jxr_linenumber" name="L255" href="#L255">255</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">boolean</strong> ex2 = t2.test(x, y);
+<a class="jxr_linenumber" name="L256" href="#L256">256</a>
+<a class="jxr_linenumber" name="L257" href="#L257">257</a> <em class="jxr_comment">// Note:</em>
+<a class="jxr_linenumber" name="L258" href="#L258">258</a> <em class="jxr_comment">// We can use %s for the error message as the</em>
+<a class="jxr_linenumber" name="L259" href="#L259">259</a> <em class="jxr_comment">// custom DoubleTolerance overrides toString()</em>
+<a class="jxr_linenumber" name="L260" href="#L260">260</a> Assertions.assertEquals(ex1 || ex2, t1.or(t2).test(x, y),
+<a class="jxr_linenumber" name="L261" href="#L261">261</a> () -> String.format(<span class="jxr_string">"%s or %s test (%s, %s"</span>, t1, t2, x, y));
+<a class="jxr_linenumber" name="L262" href="#L262">262</a> Assertions.assertEquals(ex1 && ex2, t1.and(t2).test(x, y),
+<a class="jxr_linenumber" name="L263" href="#L263">263</a> () -> String.format(<span class="jxr_string">"%s and %s test (%s, %s"</span>, t1, t2, x, y));
+<a class="jxr_linenumber" name="L264" href="#L264">264</a>
+<a class="jxr_linenumber" name="L265" href="#L265">265</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> t3 : tol) {
+<a class="jxr_linenumber" name="L266" href="#L266">266</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">boolean</strong> ex3 = t3.test(x, y);
+<a class="jxr_linenumber" name="L267" href="#L267">267</a> Assertions.assertEquals((ex1 || ex2) && ex3, t1.or(t2).and(t3).test(x, y),
+<a class="jxr_linenumber" name="L268" href="#L268">268</a> () -> String.format(<span class="jxr_string">"(%s or %s) and %s test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L269" href="#L269">269</a> Assertions.assertEquals((ex1 || ex2) || ex3, t1.or(t2).or(t3).test(x, y),
+<a class="jxr_linenumber" name="L270" href="#L270">270</a> () -> String.format(<span class="jxr_string">"(%s or %s) or %s test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L271" href="#L271">271</a> Assertions.assertEquals((ex1 && ex2) && ex3, t1.and(t2).and(t3).test(x, y),
+<a class="jxr_linenumber" name="L272" href="#L272">272</a> () -> String.format(<span class="jxr_string">"(%s and %s) and %s test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L273" href="#L273">273</a> Assertions.assertEquals((ex1 && ex2) || ex3, t1.and(t2).or(t3).test(x, y),
+<a class="jxr_linenumber" name="L274" href="#L274">274</a> () -> String.format(<span class="jxr_string">"(%s and %s) or %s test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L275" href="#L275">275</a>
+<a class="jxr_linenumber" name="L276" href="#L276">276</a> Assertions.assertEquals(ex1 || (ex2 && ex3), t1.or(t2.and(t3)).test(x, y),
+<a class="jxr_linenumber" name="L277" href="#L277">277</a> () -> String.format(<span class="jxr_string">"%s or (%s and %s) test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L278" href="#L278">278</a> Assertions.assertEquals(ex1 || (ex2 || ex3), t1.or(t2.or(t3)).test(x, y),
+<a class="jxr_linenumber" name="L279" href="#L279">279</a> () -> String.format(<span class="jxr_string">"%s or (%s or %s) test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L280" href="#L280">280</a> Assertions.assertEquals(ex1 && (ex2 && ex3), t1.and(t2.and(t3)).test(x, y),
+<a class="jxr_linenumber" name="L281" href="#L281">281</a> () -> String.format(<span class="jxr_string">"%s and (%s and %s) test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L282" href="#L282">282</a> Assertions.assertEquals(ex1 && (ex2 || ex3), t1.and(t2.or(t3)).test(x, y),
+<a class="jxr_linenumber" name="L283" href="#L283">283</a> () -> String.format(<span class="jxr_string">"%s and (%s or %s) test (%s, %s"</span>, t1, t2, t3, x, y));
+<a class="jxr_linenumber" name="L284" href="#L284">284</a> }
+<a class="jxr_linenumber" name="L285" href="#L285">285</a> }
+<a class="jxr_linenumber" name="L286" href="#L286">286</a> }
+<a class="jxr_linenumber" name="L287" href="#L287">287</a> }
+<a class="jxr_linenumber" name="L288" href="#L288">288</a> }
+<a class="jxr_linenumber" name="L289" href="#L289">289</a>
+<a class="jxr_linenumber" name="L290" href="#L290">290</a> @Test
+<a class="jxr_linenumber" name="L291" href="#L291">291</a> <strong class="jxr_keyword">void</strong> testSymmetry() {
+<a class="jxr_linenumber" name="L292" href="#L292">292</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> maxUlps = 4;
+<a class="jxr_linenumber" name="L293" href="#L293">293</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> absTolerance = 1e-3;
+<a class="jxr_linenumber" name="L294" href="#L294">294</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> relTolerance = 1e-6;
+<a class="jxr_linenumber" name="L295" href="#L295">295</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> eq = DoubleTolerances.equals();
+<a class="jxr_linenumber" name="L296" href="#L296">296</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> ulp = DoubleTolerances.ulps(maxUlps);
+<a class="jxr_linenumber" name="L297" href="#L297">297</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> abs = DoubleTolerances.absolute(absTolerance);
+<a class="jxr_linenumber" name="L298" href="#L298">298</a> <strong class="jxr_keyword">final</strong> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> rel = DoubleTolerances.relative(relTolerance);
+<a class="jxr_linenumber" name="L299" href="#L299">299</a> <strong class="jxr_keyword">final</strong> UniformRandomProvider rng = RandomSource.JSF_64.create();
+<a class="jxr_linenumber" name="L300" href="#L300">300</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">long</strong> one = Double.doubleToLongBits(1.0);
+<a class="jxr_linenumber" name="L301" href="#L301">301</a> <em class="jxr_comment">// Test a range of values that cover true/false cases for each tolerance</em>
+<a class="jxr_linenumber" name="L302" href="#L302">302</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> exp : <strong class="jxr_keyword">new</strong> <strong class="jxr_keyword">int</strong>[] {
+<a class="jxr_linenumber" name="L303" href="#L303">303</a> <em class="jxr_comment">// Include sub-normal and small numbers</em>
+<a class="jxr_linenumber" name="L304" href="#L304">304</a> -1074, -1073, -1066, -1022, -567, -123, -20,
+<a class="jxr_linenumber" name="L305" href="#L305">305</a> <em class="jxr_comment">// Realistic scales for probabilities: 1e-8 to 1e-1</em>
+<a class="jxr_linenumber" name="L306" href="#L306">306</a> -8, -7, -6, -5, -4, -3, -2, -1,
+<a class="jxr_linenumber" name="L307" href="#L307">307</a> <em class="jxr_comment">// Ranges > 1</em>
+<a class="jxr_linenumber" name="L308" href="#L308">308</a> 0, 1, 2, 3, 4, 8, 156, 1022, 1023
+<a class="jxr_linenumber" name="L309" href="#L309">309</a> }) {
+<a class="jxr_linenumber" name="L310" href="#L310">310</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> scale = Math.scalb(1.0, exp);
+<a class="jxr_linenumber" name="L311" href="#L311">311</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < 50; i++) {
+<a class="jxr_linenumber" name="L312" href="#L312">312</a> <em class="jxr_comment">// A random number in [1, 2).</em>
+<a class="jxr_linenumber" name="L313" href="#L313">313</a> <em class="jxr_comment">// Combine the exponent from 1.0 with 52 bits in the mantissa</em>
+<a class="jxr_linenumber" name="L314" href="#L314">314</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> u = Double.longBitsToDouble(one | (rng.nextLong() >>> 12));
+<a class="jxr_linenumber" name="L315" href="#L315">315</a> Assertions.assertTrue(u >= 1.0 && u < 2.0, <span class="jxr_string">"Unexpected range"</span>);
+<a class="jxr_linenumber" name="L316" href="#L316">316</a> <em class="jxr_comment">// Scale</em>
+<a class="jxr_linenumber" name="L317" href="#L317">317</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = u * scale;
+<a class="jxr_linenumber" name="L318" href="#L318">318</a> Assertions.assertTrue(x > 0 && x <= Double.MAX_VALUE, () -> <span class="jxr_string">"Unexpected scaled number: "</span> + x);
+<a class="jxr_linenumber" name="L319" href="#L319">319</a> <em class="jxr_comment">// Create variants that pass and fail each tolerance test.</em>
+<a class="jxr_linenumber" name="L320" href="#L320">320</a> <em class="jxr_comment">// Note: Failure of the absolute tolerance is dependent on the scale.</em>
+<a class="jxr_linenumber" name="L321" href="#L321">321</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> dx1 = Math.ulp(x) * maxUlps;
+<a class="jxr_linenumber" name="L322" href="#L322">322</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> dx2 = absTolerance;
+<a class="jxr_linenumber" name="L323" href="#L323">323</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> dx3 = x * relTolerance;
+<a class="jxr_linenumber" name="L324" href="#L324">324</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] ys = {
+<a class="jxr_linenumber" name="L325" href="#L325">325</a> x,
+<a class="jxr_linenumber" name="L326" href="#L326">326</a> x + dx1 * 0.5, x + dx1, x + dx1 * 2, x - dx1 * 0.5, x - dx1, x - dx1 * 2,
+<a class="jxr_linenumber" name="L327" href="#L327">327</a> x + dx2 * 0.5, x + dx2, x + dx2 * 2, x - dx2 * 0.5, x - dx2, x - dx2 * 2,
+<a class="jxr_linenumber" name="L328" href="#L328">328</a> x + dx3 * 0.5, x + dx3, x + dx3 * 2, x - dx3 * 0.5, x - dx3, x - dx3 * 2,
+<a class="jxr_linenumber" name="L329" href="#L329">329</a> };
+<a class="jxr_linenumber" name="L330" href="#L330">330</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> y : ys) {
+<a class="jxr_linenumber" name="L331" href="#L331">331</a> Assertions.assertEquals(eq.test(x, y), eq.test(y, x), <span class="jxr_string">"eq"</span>);
+<a class="jxr_linenumber" name="L332" href="#L332">332</a> Assertions.assertEquals(ulp.test(x, y), ulp.test(y, x), <span class="jxr_string">"ulp"</span>);
+<a class="jxr_linenumber" name="L333" href="#L333">333</a> Assertions.assertEquals(abs.test(x, y), abs.test(y, x), <span class="jxr_string">"abs"</span>);
+<a class="jxr_linenumber" name="L334" href="#L334">334</a> Assertions.assertEquals(rel.test(x, y), rel.test(y, x), <span class="jxr_string">"rel"</span>);
+<a class="jxr_linenumber" name="L335" href="#L335">335</a> <em class="jxr_comment">// Support negative values</em>
+<a class="jxr_linenumber" name="L336" href="#L336">336</a> Assertions.assertEquals(eq.test(x, y), eq.test(-y, -x), <span class="jxr_string">"eq"</span>);
+<a class="jxr_linenumber" name="L337" href="#L337">337</a> Assertions.assertEquals(ulp.test(x, y), ulp.test(-y, -x), <span class="jxr_string">"ulp"</span>);
+<a class="jxr_linenumber" name="L338" href="#L338">338</a> Assertions.assertEquals(abs.test(x, y), abs.test(-y, -x), <span class="jxr_string">"abs"</span>);
+<a class="jxr_linenumber" name="L339" href="#L339">339</a> Assertions.assertEquals(rel.test(x, y), rel.test(-y, -x), <span class="jxr_string">"rel"</span>);
+<a class="jxr_linenumber" name="L340" href="#L340">340</a> }
+<a class="jxr_linenumber" name="L341" href="#L341">341</a> }
+<a class="jxr_linenumber" name="L342" href="#L342">342</a> }
+<a class="jxr_linenumber" name="L343" href="#L343">343</a> }
+<a class="jxr_linenumber" name="L344" href="#L344">344</a> }
+</pre>
+<hr/>
+<div id="footer">Copyright © 2018–2022 <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/ExponentialDistributionTest.html
==============================================================================
--- dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/ExponentialDistributionTest.html (added)
+++ dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/ExponentialDistributionTest.html Thu Dec 1 16:47:12 2022
@@ -0,0 +1,105 @@
+<!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>ExponentialDistributionTest xref</title>
+<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
+</head>
+<body>
+<div id="overview"><a href="../../../../../../testapidocs/org/apache/commons/statistics/distribution/ExponentialDistributionTest.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.math.BigDecimal;
+<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> <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.ParameterizedTest;
+<a class="jxr_linenumber" name="L23" href="#L23">23</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.provider.CsvFileSource;
+<a class="jxr_linenumber" name="L24" href="#L24">24</a>
+<a class="jxr_linenumber" name="L25" href="#L25">25</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L26" href="#L26">26</a> <em class="jxr_javadoccomment"> * Test cases for {@link ExponentialDistribution}.</em>
+<a class="jxr_linenumber" name="L27" href="#L27">27</a> <em class="jxr_javadoccomment"> * Extends {@link BaseContinuousDistributionTest}. See javadoc of that class for details.</em>
+<a class="jxr_linenumber" name="L28" href="#L28">28</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L29" href="#L29">29</a> <strong class="jxr_keyword">class</strong> <a name="ExponentialDistributionTest" href="../../../../../org/apache/commons/statistics/distribution/ExponentialDistributionTest.html#ExponentialDistributionTest">ExponentialDistributionTest</a> <strong class="jxr_keyword">extends</strong> <a name="BaseContinuousDistributionTest" href="../../../../../org/apache/commons/statistics/distribution/BaseContinuousDistributionTest.html#BaseContinuousDistributionTest">BaseContinuousDistributionTest</a> {
+<a class="jxr_linenumber" name="L30" href="#L30">30</a> @Override
+<a class="jxr_linenumber" name="L31" href="#L31">31</a> ContinuousDistribution makeDistribution(Object... parameters) {
+<a class="jxr_linenumber" name="L32" href="#L32">32</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> mean = (Double) parameters[0];
+<a class="jxr_linenumber" name="L33" href="#L33">33</a> <strong class="jxr_keyword">return</strong> ExponentialDistribution.of(mean);
+<a class="jxr_linenumber" name="L34" href="#L34">34</a> }
+<a class="jxr_linenumber" name="L35" href="#L35">35</a>
+<a class="jxr_linenumber" name="L36" href="#L36">36</a> @Override
+<a class="jxr_linenumber" name="L37" href="#L37">37</a> Object[][] makeInvalidParameters() {
+<a class="jxr_linenumber" name="L38" href="#L38">38</a> <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">new</strong> Object[][] {
+<a class="jxr_linenumber" name="L39" href="#L39">39</a> {0.0},
+<a class="jxr_linenumber" name="L40" href="#L40">40</a> {-0.1}
+<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> @Override
+<a class="jxr_linenumber" name="L45" href="#L45">45</a> String[] getParameterNames() {
+<a class="jxr_linenumber" name="L46" href="#L46">46</a> <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">new</strong> String[] {<span class="jxr_string">"Mean"</span>};
+<a class="jxr_linenumber" name="L47" href="#L47">47</a> }
+<a class="jxr_linenumber" name="L48" href="#L48">48</a>
+<a class="jxr_linenumber" name="L49" href="#L49">49</a> @Override
+<a class="jxr_linenumber" name="L50" href="#L50">50</a> <strong class="jxr_keyword">protected</strong> <strong class="jxr_keyword">double</strong> getRelativeTolerance() {
+<a class="jxr_linenumber" name="L51" href="#L51">51</a> <em class="jxr_comment">// Tolerance is 8.881784197001252E-16</em>
+<a class="jxr_linenumber" name="L52" href="#L52">52</a> <strong class="jxr_keyword">return</strong> 4 * RELATIVE_EPS;
+<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> <em class="jxr_comment">//------------ Additional tests -------------------------------------------</em>
+<a class="jxr_linenumber" name="L56" href="#L56">56</a>
+<a class="jxr_linenumber" name="L57" href="#L57">57</a> @Test
+<a class="jxr_linenumber" name="L58" href="#L58">58</a> <strong class="jxr_keyword">void</strong> testProbabilityRange() {
+<a class="jxr_linenumber" name="L59" href="#L59">59</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> actual = ExponentialDistribution.of(5).probability(0.25, 0.75);
+<a class="jxr_linenumber" name="L60" href="#L60">60</a> TestUtils.assertEquals(0.0905214480756562, actual, DoubleTolerances.ulps(1));
+<a class="jxr_linenumber" name="L61" href="#L61">61</a> }
+<a class="jxr_linenumber" name="L62" href="#L62">62</a>
+<a class="jxr_linenumber" name="L63" href="#L63">63</a> @Test
+<a class="jxr_linenumber" name="L64" href="#L64">64</a> <strong class="jxr_keyword">void</strong> testAdditionalDensity() {
+<a class="jxr_linenumber" name="L65" href="#L65">65</a> <strong class="jxr_keyword">final</strong> ExponentialDistribution d1 = ExponentialDistribution.of(1);
+<a class="jxr_linenumber" name="L66" href="#L66">66</a> Assertions.assertEquals(0.0, d1.density(-1e-9));
+<a class="jxr_linenumber" name="L67" href="#L67">67</a> Assertions.assertEquals(1.0, d1.density(0.0));
+<a class="jxr_linenumber" name="L68" href="#L68">68</a> Assertions.assertEquals(0.0, d1.density(1000.0));
+<a class="jxr_linenumber" name="L69" href="#L69">69</a> Assertions.assertEquals(Math.exp(-1), d1.density(1.0));
+<a class="jxr_linenumber" name="L70" href="#L70">70</a> Assertions.assertEquals(Math.exp(-2), d1.density(2.0));
+<a class="jxr_linenumber" name="L71" href="#L71">71</a>
+<a class="jxr_linenumber" name="L72" href="#L72">72</a> <strong class="jxr_keyword">final</strong> ExponentialDistribution d2 = ExponentialDistribution.of(3);
+<a class="jxr_linenumber" name="L73" href="#L73">73</a> Assertions.assertEquals(1 / 3.0, d2.density(0.0));
+<a class="jxr_linenumber" name="L74" href="#L74">74</a>
+<a class="jxr_linenumber" name="L75" href="#L75">75</a> <em class="jxr_comment">// computed using R 3.4.0: print(dexp(1, rate=1/3), digits=20)</em>
+<a class="jxr_linenumber" name="L76" href="#L76">76</a> Assertions.assertEquals(0.23884377019126309949, d2.density(1.0), 1e-15);
+<a class="jxr_linenumber" name="L77" href="#L77">77</a>
+<a class="jxr_linenumber" name="L78" href="#L78">78</a> <em class="jxr_comment">// computed using R 3.4.0: print(dexp(2, rate=1/3), digits=20)</em>
+<a class="jxr_linenumber" name="L79" href="#L79">79</a> Assertions.assertEquals(0.17113903967753066326, d2.density(2.0), 1e-15);
+<a class="jxr_linenumber" name="L80" href="#L80">80</a> }
+<a class="jxr_linenumber" name="L81" href="#L81">81</a>
+<a class="jxr_linenumber" name="L82" href="#L82">82</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L83" href="#L83">83</a> @CsvFileSource(resources = <span class="jxr_string">"exppdf.csv"</span>)
+<a class="jxr_linenumber" name="L84" href="#L84">84</a> <strong class="jxr_keyword">void</strong> testPDF(<strong class="jxr_keyword">double</strong> mean, <strong class="jxr_keyword">double</strong> x, BigDecimal expected) {
+<a class="jxr_linenumber" name="L85" href="#L85">85</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> e = expected.doubleValue();
+<a class="jxr_linenumber" name="L86" href="#L86">86</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> a = ExponentialDistribution.of(mean).density(x);
+<a class="jxr_linenumber" name="L87" href="#L87">87</a> <em class="jxr_comment">// Require high precision.</em>
+<a class="jxr_linenumber" name="L88" href="#L88">88</a> <em class="jxr_comment">// This has max error of 3 ulp if using exp(logDensity(x)).</em>
+<a class="jxr_linenumber" name="L89" href="#L89">89</a> Assertions.assertEquals(e, a, 2 * Math.ulp(e),
+<a class="jxr_linenumber" name="L90" href="#L90">90</a> () -> <span class="jxr_string">"ULP error: "</span> + expected.subtract(<strong class="jxr_keyword">new</strong> BigDecimal(a)).doubleValue() / Math.ulp(e));
+<a class="jxr_linenumber" name="L91" href="#L91">91</a> }
+<a class="jxr_linenumber" name="L92" href="#L92">92</a> }
+</pre>
+<hr/>
+<div id="footer">Copyright © 2018–2022 <a href="https://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</div>
+</body>
+</html>