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Posted to commits@commons.apache.org by ah...@apache.org on 2022/12/01 16:47:13 UTC
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Added: dev/commons/statistics/1.0-RC1/site/xref-test/org/apache/commons/statistics/distribution/BaseContinuousDistributionTest.html
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+<div id="overview"><a href="../../../../../../testapidocs/org/apache/commons/statistics/distribution/BaseContinuousDistributionTest.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.lang.reflect.Modifier;
+<a class="jxr_linenumber" name="L20" href="#L20">20</a> <strong class="jxr_keyword">import</strong> java.util.ArrayList;
+<a class="jxr_linenumber" name="L21" href="#L21">21</a> <strong class="jxr_keyword">import</strong> java.util.Arrays;
+<a class="jxr_linenumber" name="L22" href="#L22">22</a> <strong class="jxr_keyword">import</strong> java.util.Collections;
+<a class="jxr_linenumber" name="L23" href="#L23">23</a> <strong class="jxr_keyword">import</strong> java.util.Properties;
+<a class="jxr_linenumber" name="L24" href="#L24">24</a> <strong class="jxr_keyword">import</strong> java.util.function.Function;
+<a class="jxr_linenumber" name="L25" href="#L25">25</a> <strong class="jxr_keyword">import</strong> java.util.stream.Stream;
+<a class="jxr_linenumber" name="L26" href="#L26">26</a> <strong class="jxr_keyword">import</strong> org.apache.commons.math3.analysis.UnivariateFunction;
+<a class="jxr_linenumber" name="L27" href="#L27">27</a> <strong class="jxr_keyword">import</strong> org.apache.commons.math3.analysis.integration.BaseAbstractUnivariateIntegrator;
+<a class="jxr_linenumber" name="L28" href="#L28">28</a> <strong class="jxr_keyword">import</strong> org.apache.commons.math3.analysis.integration.IterativeLegendreGaussIntegrator;
+<a class="jxr_linenumber" name="L29" href="#L29">29</a> <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.MaxCountExceededException;
+<a class="jxr_linenumber" name="L30" href="#L30">30</a> <strong class="jxr_keyword">import</strong> org.apache.commons.math3.util.MathArrays;
+<a class="jxr_linenumber" name="L31" href="#L31">31</a> <strong class="jxr_keyword">import</strong> org.apache.commons.rng.simple.RandomSource;
+<a class="jxr_linenumber" name="L32" href="#L32">32</a> <strong class="jxr_keyword">import</strong> org.apache.commons.statistics.distribution.DistributionTestData.ContinuousDistributionTestData;
+<a class="jxr_linenumber" name="L33" href="#L33">33</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.Assertions;
+<a class="jxr_linenumber" name="L34" href="#L34">34</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.TestInstance;
+<a class="jxr_linenumber" name="L35" href="#L35">35</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.api.TestInstance.Lifecycle;
+<a class="jxr_linenumber" name="L36" href="#L36">36</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.ParameterizedTest;
+<a class="jxr_linenumber" name="L37" href="#L37">37</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.provider.Arguments;
+<a class="jxr_linenumber" name="L38" href="#L38">38</a> <strong class="jxr_keyword">import</strong> org.junit.jupiter.params.provider.MethodSource;
+<a class="jxr_linenumber" name="L39" href="#L39">39</a>
+<a class="jxr_linenumber" name="L40" href="#L40">40</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L41" href="#L41">41</a> <em class="jxr_javadoccomment"> * Abstract base class for {@link ContinuousDistribution} tests.</em>
+<a class="jxr_linenumber" name="L42" href="#L42">42</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L43" href="#L43">43</a> <em class="jxr_javadoccomment"> * <p>This class uses parameterized tests that are repeated for instances of a</em>
+<a class="jxr_linenumber" name="L44" href="#L44">44</a> <em class="jxr_javadoccomment"> * distribution. The distribution, test input and expected values are generated</em>
+<a class="jxr_linenumber" name="L45" href="#L45">45</a> <em class="jxr_javadoccomment"> * dynamically from properties files loaded from resources.</em>
+<a class="jxr_linenumber" name="L46" href="#L46">46</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L47" href="#L47">47</a> <em class="jxr_javadoccomment"> * <p>The class has a single instance (see {@link Lifecycle#PER_CLASS}) that loads properties</em>
+<a class="jxr_linenumber" name="L48" href="#L48">48</a> <em class="jxr_javadoccomment"> * files from resources on creation. Resource files are assumed to be in the corresponding package</em>
+<a class="jxr_linenumber" name="L49" href="#L49">49</a> <em class="jxr_javadoccomment"> * for the class and named sequentially from 1:</em>
+<a class="jxr_linenumber" name="L50" href="#L50">50</a> <em class="jxr_javadoccomment"> * <pre></em>
+<a class="jxr_linenumber" name="L51" href="#L51">51</a> <em class="jxr_javadoccomment"> * test.distname.1.properties</em>
+<a class="jxr_linenumber" name="L52" href="#L52">52</a> <em class="jxr_javadoccomment"> * test.distname.2.properties</em>
+<a class="jxr_linenumber" name="L53" href="#L53">53</a> <em class="jxr_javadoccomment"> * </pre></em>
+<a class="jxr_linenumber" name="L54" href="#L54">54</a> <em class="jxr_javadoccomment"> * <p>Where {@code distname} is the name of the distribution. The name is dynamically</em>
+<a class="jxr_linenumber" name="L55" href="#L55">55</a> <em class="jxr_javadoccomment"> * created in {@link #getDistributionName()} and can be overridden by implementing classes.</em>
+<a class="jxr_linenumber" name="L56" href="#L56">56</a> <em class="jxr_javadoccomment"> * A single parameterization of a distribution is tested using a single properties file.</em>
+<a class="jxr_linenumber" name="L57" href="#L57">57</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L58" href="#L58">58</a> <em class="jxr_javadoccomment"> * <p>To test a distribution create a sub-class and override the following methods:</em>
+<a class="jxr_linenumber" name="L59" href="#L59">59</a> <em class="jxr_javadoccomment"> * <ul></em>
+<a class="jxr_linenumber" name="L60" href="#L60">60</a> <em class="jxr_javadoccomment"> * <li>{@link #makeDistribution(Object...) makeDistribution(Object...)} - Creates the distribution from the parameters</em>
+<a class="jxr_linenumber" name="L61" href="#L61">61</a> <em class="jxr_javadoccomment"> * <li>{@link #makeInvalidParameters()} - Generate invalid parameters for the distribution</em>
+<a class="jxr_linenumber" name="L62" href="#L62">62</a> <em class="jxr_javadoccomment"> * <li>{@link #getParameterNames()} - Return the names of parameter accessors</em>
+<a class="jxr_linenumber" name="L63" href="#L63">63</a> <em class="jxr_javadoccomment"> * </ul></em>
+<a class="jxr_linenumber" name="L64" href="#L64">64</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L65" href="#L65">65</a> <em class="jxr_javadoccomment"> * <p>The distribution is created using</em>
+<a class="jxr_linenumber" name="L66" href="#L66">66</a> <em class="jxr_javadoccomment"> * {@link #makeDistribution(Object...) makeDistribution(Object...)}. This should</em>
+<a class="jxr_linenumber" name="L67" href="#L67">67</a> <em class="jxr_javadoccomment"> * create an instance of the distribution using parameters defined in the properties file.</em>
+<a class="jxr_linenumber" name="L68" href="#L68">68</a> <em class="jxr_javadoccomment"> * The parameters are parsed from String values to the appropriate parameter object. Currently</em>
+<a class="jxr_linenumber" name="L69" href="#L69">69</a> <em class="jxr_javadoccomment"> * this supports Double and Integer; numbers can be unboxed and used to create the distribution.</em>
+<a class="jxr_linenumber" name="L70" href="#L70">70</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L71" href="#L71">71</a> <em class="jxr_javadoccomment"> * <p>Illegal arguments for the distribution are tested from parameters provided by</em>
+<a class="jxr_linenumber" name="L72" href="#L72">72</a> <em class="jxr_javadoccomment"> * {@link #makeInvalidParameters()}. If there are no illegal arguments this method may return</em>
+<a class="jxr_linenumber" name="L73" href="#L73">73</a> <em class="jxr_javadoccomment"> * null to skip the test. Primitive parameters are boxed to objects so ensure the canonical form</em>
+<a class="jxr_linenumber" name="L74" href="#L74">74</a> <em class="jxr_javadoccomment"> * is used, e.g. {@code 1.0} not {@code 1} for a {@code double} argument.</em>
+<a class="jxr_linenumber" name="L75" href="#L75">75</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L76" href="#L76">76</a> <em class="jxr_javadoccomment"> * <p>If the distribution provides parameter accessors then the child test class can return</em>
+<a class="jxr_linenumber" name="L77" href="#L77">77</a> <em class="jxr_javadoccomment"> * the accessor names using {@link #getParameterNames()}. The distribution method accessors</em>
+<a class="jxr_linenumber" name="L78" href="#L78">78</a> <em class="jxr_javadoccomment"> * will be detected and invoked using reflection. The accessor must provide the same value</em>
+<a class="jxr_linenumber" name="L79" href="#L79">79</a> <em class="jxr_javadoccomment"> * as that passed to the {@link #makeDistribution(Object...)} method to create the distribution.</em>
+<a class="jxr_linenumber" name="L80" href="#L80">80</a> <em class="jxr_javadoccomment"> * This method may return null to skip the test, or null for the name to skip the test for a</em>
+<a class="jxr_linenumber" name="L81" href="#L81">81</a> <em class="jxr_javadoccomment"> * single parameter accessor.</em>
+<a class="jxr_linenumber" name="L82" href="#L82">82</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L83" href="#L83">83</a> <em class="jxr_javadoccomment"> * <p>The properties file must contain parameters for the distribution, properties of the</em>
+<a class="jxr_linenumber" name="L84" href="#L84">84</a> <em class="jxr_javadoccomment"> * distribution (moments and bounds) and points to test the CDF and PDF with the expected values.</em>
+<a class="jxr_linenumber" name="L85" href="#L85">85</a> <em class="jxr_javadoccomment"> * This information can be used to evaluate the distribution CDF and PDF but also the survival</em>
+<a class="jxr_linenumber" name="L86" href="#L86">86</a> <em class="jxr_javadoccomment"> * function, consistency of the probability computations and random sampling.</em>
+<a class="jxr_linenumber" name="L87" href="#L87">87</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L88" href="#L88">88</a> <em class="jxr_javadoccomment"> * <p>Optionally:</em>
+<a class="jxr_linenumber" name="L89" href="#L89">89</a> <em class="jxr_javadoccomment"> * <ul></em>
+<a class="jxr_linenumber" name="L90" href="#L90">90</a> <em class="jxr_javadoccomment"> * <li>Points for the PDF (and log PDF) can be specified. The default will use the CDF points.</em>
+<a class="jxr_linenumber" name="L91" href="#L91">91</a> <em class="jxr_javadoccomment"> * Note: It is not expected that evaluation of the PDF will require different points to the CDF.</em>
+<a class="jxr_linenumber" name="L92" href="#L92">92</a> <em class="jxr_javadoccomment"> * <li>Points and expected values for the inverse CDF can be specified. These are used in</em>
+<a class="jxr_linenumber" name="L93" href="#L93">93</a> <em class="jxr_javadoccomment"> * addition to test the inverse mapping of the CDF values to the CDF test points.</em>
+<a class="jxr_linenumber" name="L94" href="#L94">94</a> <em class="jxr_javadoccomment"> * <li>Expected values for the log PDF can be specified. The default will use</em>
+<a class="jxr_linenumber" name="L95" href="#L95">95</a> <em class="jxr_javadoccomment"> * {@link Math#log(double)} on the PDF values.</em>
+<a class="jxr_linenumber" name="L96" href="#L96">96</a> <em class="jxr_javadoccomment"> * <li>Points and expected values for the survival function can be specified. These are used in</em>
+<a class="jxr_linenumber" name="L97" href="#L97">97</a> <em class="jxr_javadoccomment"> * addition to test the inverse mapping of the SF values to the SF test points.</em>
+<a class="jxr_linenumber" name="L98" href="#L98">98</a> <em class="jxr_javadoccomment"> * The default will use the expected CDF values (SF = 1 - CDF).</em>
+<a class="jxr_linenumber" name="L99" href="#L99">99</a> <em class="jxr_javadoccomment"> * <li>A tolerance for equality assertions. The default is set by {@link #getAbsoluteTolerance()}</em>
+<a class="jxr_linenumber" name="L100" href="#L100">100</a> <em class="jxr_javadoccomment"> * and {@link #getRelativeTolerance()}.</em>
+<a class="jxr_linenumber" name="L101" href="#L101">101</a> <em class="jxr_javadoccomment"> * </ul></em>
+<a class="jxr_linenumber" name="L102" href="#L102">102</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L103" href="#L103">103</a> <em class="jxr_javadoccomment"> * <p>If the distribution provides higher precision implementations of</em>
+<a class="jxr_linenumber" name="L104" href="#L104">104</a> <em class="jxr_javadoccomment"> * cumulative probability and/or survival probability as the values approach zero, then test</em>
+<a class="jxr_linenumber" name="L105" href="#L105">105</a> <em class="jxr_javadoccomment"> * points and expected values can be provided for high-precision computations. If the default</em>
+<a class="jxr_linenumber" name="L106" href="#L106">106</a> <em class="jxr_javadoccomment"> * absolute tolerance has been set to non-zero, then very small p-values will require the</em>
+<a class="jxr_linenumber" name="L107" href="#L107">107</a> <em class="jxr_javadoccomment"> * high-precision absolute tolerance is configured for the test to a suitable magnitude (see below).</em>
+<a class="jxr_linenumber" name="L108" href="#L108">108</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L109" href="#L109">109</a> <em class="jxr_javadoccomment"> * <p>Per-test configuration</em>
+<a class="jxr_linenumber" name="L110" href="#L110">110</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L111" href="#L111">111</a> <em class="jxr_javadoccomment"> * <p>Each test is identified with a {@link TestName} key in the properties file. This key</em>
+<a class="jxr_linenumber" name="L112" href="#L112">112</a> <em class="jxr_javadoccomment"> * can be used to set a per-test tolerance, or disable the test:</em>
+<a class="jxr_linenumber" name="L113" href="#L113">113</a> <em class="jxr_javadoccomment"> * <pre></em>
+<a class="jxr_linenumber" name="L114" href="#L114">114</a> <em class="jxr_javadoccomment"> * cdf.hp.relative = 1e-14</em>
+<a class="jxr_linenumber" name="L115" href="#L115">115</a> <em class="jxr_javadoccomment"> * cdf.hp.absolute = 1e-50</em>
+<a class="jxr_linenumber" name="L116" href="#L116">116</a> <em class="jxr_javadoccomment"> * sampling.disable</em>
+<a class="jxr_linenumber" name="L117" href="#L117">117</a> <em class="jxr_javadoccomment"> * </pre></em>
+<a class="jxr_linenumber" name="L118" href="#L118">118</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L119" href="#L119">119</a> <em class="jxr_javadoccomment"> * <p>Note: All properties files are read during test initialization. Any errors in a single</em>
+<a class="jxr_linenumber" name="L120" href="#L120">120</a> <em class="jxr_javadoccomment"> * property file will throw an exception, invalidating the initialization and no tests</em>
+<a class="jxr_linenumber" name="L121" href="#L121">121</a> <em class="jxr_javadoccomment"> * will be executed.</em>
+<a class="jxr_linenumber" name="L122" href="#L122">122</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L123" href="#L123">123</a> <em class="jxr_javadoccomment"> * <p>The parameterized tests in this class are inherited. The tests are final and cannot be</em>
+<a class="jxr_linenumber" name="L124" href="#L124">124</a> <em class="jxr_javadoccomment"> * changed. This ensures each instance of a distribution is tested for all functionality in</em>
+<a class="jxr_linenumber" name="L125" href="#L125">125</a> <em class="jxr_javadoccomment"> * the {@link ContinuousDistribution} interface. Arguments to the parameterized tests are</em>
+<a class="jxr_linenumber" name="L126" href="#L126">126</a> <em class="jxr_javadoccomment"> * generated dynamically using methods of the same name. These can be over-ridden in child</em>
+<a class="jxr_linenumber" name="L127" href="#L127">127</a> <em class="jxr_javadoccomment"> * classes to alter parameters. Throwing a</em>
+<a class="jxr_linenumber" name="L128" href="#L128">128</a> <em class="jxr_javadoccomment"> * {@link org.opentest4j.TestAbortedException TestAbortedException} in this method will</em>
+<a class="jxr_linenumber" name="L129" href="#L129">129</a> <em class="jxr_javadoccomment"> * skip the test as the arguments will not be generated.</em>
+<a class="jxr_linenumber" name="L130" href="#L130">130</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L131" href="#L131">131</a> <em class="jxr_javadoccomment"> * <p>Each parameterized test is effectively static; it uses no instance data.</em>
+<a class="jxr_linenumber" name="L132" href="#L132">132</a> <em class="jxr_javadoccomment"> * To implement additional test cases with a specific distribution instance and test</em>
+<a class="jxr_linenumber" name="L133" href="#L133">133</a> <em class="jxr_javadoccomment"> * data, create a test in the child class and call the relevant test case to verify</em>
+<a class="jxr_linenumber" name="L134" href="#L134">134</a> <em class="jxr_javadoccomment"> * results. Note that it is recommended to use the properties file as this ensures the</em>
+<a class="jxr_linenumber" name="L135" href="#L135">135</a> <em class="jxr_javadoccomment"> * entire functionality of the distribution is tested for that parameterization.</em>
+<a class="jxr_linenumber" name="L136" href="#L136">136</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L137" href="#L137">137</a> <em class="jxr_javadoccomment"> * <p>Tests using floating-point equivalence comparisons are asserted using a {@link DoubleTolerance}.</em>
+<a class="jxr_linenumber" name="L138" href="#L138">138</a> <em class="jxr_javadoccomment"> * This interface computes true or false for the comparison of two {@code double} types.</em>
+<a class="jxr_linenumber" name="L139" href="#L139">139</a> <em class="jxr_javadoccomment"> * This allows the flexibility to use absolute, relative or ULP thresholds in combinations</em>
+<a class="jxr_linenumber" name="L140" href="#L140">140</a> <em class="jxr_javadoccomment"> * built using And or Or conditions to compare numbers. The default uses an Or combination</em>
+<a class="jxr_linenumber" name="L141" href="#L141">141</a> <em class="jxr_javadoccomment"> * of the absolute and relative thresholds. See {@link DoubleTolerances} to construct</em>
+<a class="jxr_linenumber" name="L142" href="#L142">142</a> <em class="jxr_javadoccomment"> * custom instances for additional tests.</em>
+<a class="jxr_linenumber" name="L143" href="#L143">143</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L144" href="#L144">144</a> <em class="jxr_javadoccomment"> * <p>Test data should be validated against reference tables or other packages where</em>
+<a class="jxr_linenumber" name="L145" href="#L145">145</a> <em class="jxr_javadoccomment"> * possible, and the source of the reference data and/or validation should be documented</em>
+<a class="jxr_linenumber" name="L146" href="#L146">146</a> <em class="jxr_javadoccomment"> * in the properties file or additional test cases as appropriate.</em>
+<a class="jxr_linenumber" name="L147" href="#L147">147</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L148" href="#L148">148</a> <em class="jxr_javadoccomment"> * <p>The properties file uses {@code key=value} pairs loaded using a</em>
+<a class="jxr_linenumber" name="L149" href="#L149">149</a> <em class="jxr_javadoccomment"> * {@link java.util.Properties} object. Values will be read as String and then parsed to</em>
+<a class="jxr_linenumber" name="L150" href="#L150">150</a> <em class="jxr_javadoccomment"> * numeric data, and data arrays. Multi-line values can use a {@code \} character to join lines.</em>
+<a class="jxr_linenumber" name="L151" href="#L151">151</a> <em class="jxr_javadoccomment"> * Data in the properties file will be converted to numbers using standard parsing</em>
+<a class="jxr_linenumber" name="L152" href="#L152">152</a> <em class="jxr_javadoccomment"> * functions appropriate to the primitive type, e.g. {@link Double#parseDouble(String)}.</em>
+<a class="jxr_linenumber" name="L153" href="#L153">153</a> <em class="jxr_javadoccomment"> * Special double values should use NaN, Infinity and -Infinity. As a convenience</em>
+<a class="jxr_linenumber" name="L154" href="#L154">154</a> <em class="jxr_javadoccomment"> * for creating test data parsing of doubles supports the following notations from</em>
+<a class="jxr_linenumber" name="L155" href="#L155">155</a> <em class="jxr_javadoccomment"> * other languages ('inf', 'Inf').</em>
+<a class="jxr_linenumber" name="L156" href="#L156">156</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L157" href="#L157">157</a> <em class="jxr_javadoccomment"> * <p>The following is a complete properties file for a distribution:</em>
+<a class="jxr_linenumber" name="L158" href="#L158">158</a> <em class="jxr_javadoccomment"> * <pre></em>
+<a class="jxr_linenumber" name="L159" href="#L159">159</a> <em class="jxr_javadoccomment"> * parameters = 0.5 1.0</em>
+<a class="jxr_linenumber" name="L160" href="#L160">160</a> <em class="jxr_javadoccomment"> * # Computed using XYZ</em>
+<a class="jxr_linenumber" name="L161" href="#L161">161</a> <em class="jxr_javadoccomment"> * mean = 1.0</em>
+<a class="jxr_linenumber" name="L162" href="#L162">162</a> <em class="jxr_javadoccomment"> * variance = NaN</em>
+<a class="jxr_linenumber" name="L163" href="#L163">163</a> <em class="jxr_javadoccomment"> * # optional (default -Infinity)</em>
+<a class="jxr_linenumber" name="L164" href="#L164">164</a> <em class="jxr_javadoccomment"> * lower = 0</em>
+<a class="jxr_linenumber" name="L165" href="#L165">165</a> <em class="jxr_javadoccomment"> * # optional (default Infinity)</em>
+<a class="jxr_linenumber" name="L166" href="#L166">166</a> <em class="jxr_javadoccomment"> * upper = Infinity</em>
+<a class="jxr_linenumber" name="L167" href="#L167">167</a> <em class="jxr_javadoccomment"> * # optional (default 1e-14 or over-ridden in getRelativeTolerance())</em>
+<a class="jxr_linenumber" name="L168" href="#L168">168</a> <em class="jxr_javadoccomment"> * tolerance.relative = 1e-9</em>
+<a class="jxr_linenumber" name="L169" href="#L169">169</a> <em class="jxr_javadoccomment"> * # optional (default 0.0 or over-ridden in getAbsoluteTolerance())</em>
+<a class="jxr_linenumber" name="L170" href="#L170">170</a> <em class="jxr_javadoccomment"> * tolerance.absolute = 0.0</em>
+<a class="jxr_linenumber" name="L171" href="#L171">171</a> <em class="jxr_javadoccomment"> * cdf.points = 0, 0.2</em>
+<a class="jxr_linenumber" name="L172" href="#L172">172</a> <em class="jxr_javadoccomment"> * cdf.values = 0.0, 0.5</em>
+<a class="jxr_linenumber" name="L173" href="#L173">173</a> <em class="jxr_javadoccomment"> * # optional (default uses cdf.points)</em>
+<a class="jxr_linenumber" name="L174" href="#L174">174</a> <em class="jxr_javadoccomment"> * pdf.points = 0, 40000</em>
+<a class="jxr_linenumber" name="L175" href="#L175">175</a> <em class="jxr_javadoccomment"> * pdf.values = 0.0,\</em>
+<a class="jxr_linenumber" name="L176" href="#L176">176</a> <em class="jxr_javadoccomment"> * 0.0</em>
+<a class="jxr_linenumber" name="L177" href="#L177">177</a> <em class="jxr_javadoccomment"> * # optional (default uses log pdf.values)</em>
+<a class="jxr_linenumber" name="L178" href="#L178">178</a> <em class="jxr_javadoccomment"> * logpdf.values = -1900.123, -Infinity</em>
+<a class="jxr_linenumber" name="L179" href="#L179">179</a> <em class="jxr_javadoccomment"> * # optional (default uses cdf.points and 1 - cdf.values)</em>
+<a class="jxr_linenumber" name="L180" href="#L180">180</a> <em class="jxr_javadoccomment"> * sf.points = 400.0</em>
+<a class="jxr_linenumber" name="L181" href="#L181">181</a> <em class="jxr_javadoccomment"> * sf.values = 0.0</em>
+<a class="jxr_linenumber" name="L182" href="#L182">182</a> <em class="jxr_javadoccomment"> * # optional high-precision CDF test</em>
+<a class="jxr_linenumber" name="L183" href="#L183">183</a> <em class="jxr_javadoccomment"> * cdf.hp.points = 1e-16</em>
+<a class="jxr_linenumber" name="L184" href="#L184">184</a> <em class="jxr_javadoccomment"> * cdf.hp.values = 1.23e-17</em>
+<a class="jxr_linenumber" name="L185" href="#L185">185</a> <em class="jxr_javadoccomment"> * # optional high-precision survival function test</em>
+<a class="jxr_linenumber" name="L186" href="#L186">186</a> <em class="jxr_javadoccomment"> * sf.hp.points = 9.0</em>
+<a class="jxr_linenumber" name="L187" href="#L187">187</a> <em class="jxr_javadoccomment"> * sf.hp.values = 2.34e-18</em>
+<a class="jxr_linenumber" name="L188" href="#L188">188</a> <em class="jxr_javadoccomment"> * # optional inverse CDF test (defaults to ignore)</em>
+<a class="jxr_linenumber" name="L189" href="#L189">189</a> <em class="jxr_javadoccomment"> * icdf.points = 0.0, 0.5</em>
+<a class="jxr_linenumber" name="L190" href="#L190">190</a> <em class="jxr_javadoccomment"> * icdf.values = 0.0, 0.2</em>
+<a class="jxr_linenumber" name="L191" href="#L191">191</a> <em class="jxr_javadoccomment"> * # optional inverse CDF test (defaults to ignore)</em>
+<a class="jxr_linenumber" name="L192" href="#L192">192</a> <em class="jxr_javadoccomment"> * isf.points = 1.0, 0.5</em>
+<a class="jxr_linenumber" name="L193" href="#L193">193</a> <em class="jxr_javadoccomment"> * isf.values = 0.0, 0.2</em>
+<a class="jxr_linenumber" name="L194" href="#L194">194</a> <em class="jxr_javadoccomment"> * # Optional per-test tolerance and disable</em>
+<a class="jxr_linenumber" name="L195" href="#L195">195</a> <em class="jxr_javadoccomment"> * cdf.hp.relative = 1e-14</em>
+<a class="jxr_linenumber" name="L196" href="#L196">196</a> <em class="jxr_javadoccomment"> * cdf.hp.absolute = 1e-50</em>
+<a class="jxr_linenumber" name="L197" href="#L197">197</a> <em class="jxr_javadoccomment"> * sampling.disable = true</em>
+<a class="jxr_linenumber" name="L198" href="#L198">198</a> <em class="jxr_javadoccomment"> * </pre></em>
+<a class="jxr_linenumber" name="L199" href="#L199">199</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L200" href="#L200">200</a> <em class="jxr_javadoccomment"> * <p>See {@link NakagamiDistributionTest} for an example and the resource file {@code test.nakagami.1.properties}.</em>
+<a class="jxr_linenumber" name="L201" href="#L201">201</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L202" href="#L202">202</a> @TestInstance(Lifecycle.PER_CLASS)
+<a class="jxr_linenumber" name="L203" href="#L203">203</a> <strong class="jxr_keyword">abstract</strong> <strong class="jxr_keyword">class</strong> <a name="BaseContinuousDistributionTest" href="../../../../../org/apache/commons/statistics/distribution/BaseContinuousDistributionTest.html#BaseContinuousDistributionTest">BaseContinuousDistributionTest</a>
+<a class="jxr_linenumber" name="L204" href="#L204">204</a> <strong class="jxr_keyword">extends</strong> BaseDistributionTest<ContinuousDistribution, ContinuousDistributionTestData> {
+<a class="jxr_linenumber" name="L205" href="#L205">205</a>
+<a class="jxr_linenumber" name="L206" href="#L206">206</a> <em class="jxr_javadoccomment">/** Absolute accuracy of the integrator result. */</em>
+<a class="jxr_linenumber" name="L207" href="#L207">207</a> <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> INTEGRATOR_ABS_ACCURACY = 1e-10;
+<a class="jxr_linenumber" name="L208" href="#L208">208</a> <em class="jxr_javadoccomment">/** Relative accuracy of the integrator result. */</em>
+<a class="jxr_linenumber" name="L209" href="#L209">209</a> <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> INTEGRATOR_REL_ACCURACY = 1e-12;
+<a class="jxr_linenumber" name="L210" href="#L210">210</a>
+<a class="jxr_linenumber" name="L211" href="#L211">211</a> @Override
+<a class="jxr_linenumber" name="L212" href="#L212">212</a> ContinuousDistributionTestData makeDistributionData(Properties properties) {
+<a class="jxr_linenumber" name="L213" href="#L213">213</a> <strong class="jxr_keyword">return</strong> <strong class="jxr_keyword">new</strong> ContinuousDistributionTestData(properties);
+<a class="jxr_linenumber" name="L214" href="#L214">214</a> }
+<a class="jxr_linenumber" name="L215" href="#L215">215</a>
+<a class="jxr_linenumber" name="L216" href="#L216">216</a> <em class="jxr_comment">//------------------------ Methods to stream the test data -----------------------------</em>
+<a class="jxr_linenumber" name="L217" href="#L217">217</a>
+<a class="jxr_linenumber" name="L218" href="#L218">218</a> <em class="jxr_comment">// The @MethodSource annotation will default to a no arguments method of the same name</em>
+<a class="jxr_linenumber" name="L219" href="#L219">219</a> <em class="jxr_comment">// as the @ParameterizedTest method. These can be overridden by child classes to</em>
+<a class="jxr_linenumber" name="L220" href="#L220">220</a> <em class="jxr_comment">// stream different arguments to the test case.</em>
+<a class="jxr_linenumber" name="L221" href="#L221">221</a>
+<a class="jxr_linenumber" name="L222" href="#L222">222</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L223" href="#L223">223</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the PDF test points</em>
+<a class="jxr_linenumber" name="L224" href="#L224">224</a> <em class="jxr_javadoccomment"> * and values, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L225" href="#L225">225</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L226" href="#L226">226</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L227" href="#L227">227</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L228" href="#L228">228</a> Stream<Arguments> testDensity() {
+<a class="jxr_linenumber" name="L229" href="#L229">229</a> <strong class="jxr_keyword">return</strong> stream(TestName.PDF,
+<a class="jxr_linenumber" name="L230" href="#L230">230</a> ContinuousDistributionTestData::getPdfPoints,
+<a class="jxr_linenumber" name="L231" href="#L231">231</a> ContinuousDistributionTestData::getPdfValues);
+<a class="jxr_linenumber" name="L232" href="#L232">232</a> }
+<a class="jxr_linenumber" name="L233" href="#L233">233</a>
+<a class="jxr_linenumber" name="L234" href="#L234">234</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L235" href="#L235">235</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the log PDF test points</em>
+<a class="jxr_linenumber" name="L236" href="#L236">236</a> <em class="jxr_javadoccomment"> * and values, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L237" href="#L237">237</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L238" href="#L238">238</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L239" href="#L239">239</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L240" href="#L240">240</a> Stream<Arguments> testLogDensity() {
+<a class="jxr_linenumber" name="L241" href="#L241">241</a> <strong class="jxr_keyword">return</strong> stream(TestName.LOGPDF,
+<a class="jxr_linenumber" name="L242" href="#L242">242</a> ContinuousDistributionTestData::getPdfPoints,
+<a class="jxr_linenumber" name="L243" href="#L243">243</a> ContinuousDistributionTestData::getLogPdfValues);
+<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_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L247" href="#L247">247</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the CDF test points</em>
+<a class="jxr_linenumber" name="L248" href="#L248">248</a> <em class="jxr_javadoccomment"> * and values, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L249" href="#L249">249</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L250" href="#L250">250</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L251" href="#L251">251</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L252" href="#L252">252</a> Stream<Arguments> testCumulativeProbability() {
+<a class="jxr_linenumber" name="L253" href="#L253">253</a> <strong class="jxr_keyword">return</strong> stream(TestName.CDF,
+<a class="jxr_linenumber" name="L254" href="#L254">254</a> ContinuousDistributionTestData::getCdfPoints,
+<a class="jxr_linenumber" name="L255" href="#L255">255</a> ContinuousDistributionTestData::getCdfValues);
+<a class="jxr_linenumber" name="L256" href="#L256">256</a> }
+<a class="jxr_linenumber" name="L257" href="#L257">257</a>
+<a class="jxr_linenumber" name="L258" href="#L258">258</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L259" href="#L259">259</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the survival function</em>
+<a class="jxr_linenumber" name="L260" href="#L260">260</a> <em class="jxr_javadoccomment"> * test points and values, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L261" href="#L261">261</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L262" href="#L262">262</a> <em class="jxr_javadoccomment"> * <p>This defaults to using the CDF points. The survival function is tested as 1 - CDF.</em>
+<a class="jxr_linenumber" name="L263" href="#L263">263</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L264" href="#L264">264</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L265" href="#L265">265</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L266" href="#L266">266</a> Stream<Arguments> testSurvivalProbability() {
+<a class="jxr_linenumber" name="L267" href="#L267">267</a> <strong class="jxr_keyword">return</strong> stream(TestName.SF,
+<a class="jxr_linenumber" name="L268" href="#L268">268</a> ContinuousDistributionTestData::getSfPoints,
+<a class="jxr_linenumber" name="L269" href="#L269">269</a> ContinuousDistributionTestData::getSfValues);
+<a class="jxr_linenumber" name="L270" href="#L270">270</a> }
+<a class="jxr_linenumber" name="L271" href="#L271">271</a>
+<a class="jxr_linenumber" name="L272" href="#L272">272</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L273" href="#L273">273</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the CDF test points</em>
+<a class="jxr_linenumber" name="L274" href="#L274">274</a> <em class="jxr_javadoccomment"> * and values, and the test tolerance for high-precision computations.</em>
+<a class="jxr_linenumber" name="L275" href="#L275">275</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L276" href="#L276">276</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L277" href="#L277">277</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L278" href="#L278">278</a> Stream<Arguments> testCumulativeProbabilityHighPrecision() {
+<a class="jxr_linenumber" name="L279" href="#L279">279</a> <strong class="jxr_keyword">return</strong> stream(TestName.CDF_HP,
+<a class="jxr_linenumber" name="L280" href="#L280">280</a> ContinuousDistributionTestData::getCdfHpPoints,
+<a class="jxr_linenumber" name="L281" href="#L281">281</a> ContinuousDistributionTestData::getCdfHpValues);
+<a class="jxr_linenumber" name="L282" href="#L282">282</a> }
+<a class="jxr_linenumber" name="L283" href="#L283">283</a>
+<a class="jxr_linenumber" name="L284" href="#L284">284</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L285" href="#L285">285</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the survival function</em>
+<a class="jxr_linenumber" name="L286" href="#L286">286</a> <em class="jxr_javadoccomment"> * test points and values, and the test tolerance for high-precision computations.</em>
+<a class="jxr_linenumber" name="L287" href="#L287">287</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L288" href="#L288">288</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L289" href="#L289">289</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L290" href="#L290">290</a> Stream<Arguments> testSurvivalProbabilityHighPrecision() {
+<a class="jxr_linenumber" name="L291" href="#L291">291</a> <strong class="jxr_keyword">return</strong> stream(TestName.SF_HP,
+<a class="jxr_linenumber" name="L292" href="#L292">292</a> ContinuousDistributionTestData::getSfHpPoints,
+<a class="jxr_linenumber" name="L293" href="#L293">293</a> ContinuousDistributionTestData::getSfHpValues);
+<a class="jxr_linenumber" name="L294" href="#L294">294</a> }
+<a class="jxr_linenumber" name="L295" href="#L295">295</a>
+<a class="jxr_linenumber" name="L296" href="#L296">296</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L297" href="#L297">297</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the inverse CDF test points</em>
+<a class="jxr_linenumber" name="L298" href="#L298">298</a> <em class="jxr_javadoccomment"> * and values, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L299" href="#L299">299</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L300" href="#L300">300</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L301" href="#L301">301</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L302" href="#L302">302</a> Stream<Arguments> testInverseCumulativeProbability() {
+<a class="jxr_linenumber" name="L303" href="#L303">303</a> <strong class="jxr_keyword">return</strong> stream(TestName.ICDF,
+<a class="jxr_linenumber" name="L304" href="#L304">304</a> ContinuousDistributionTestData::getIcdfPoints,
+<a class="jxr_linenumber" name="L305" href="#L305">305</a> ContinuousDistributionTestData::getIcdfValues);
+<a class="jxr_linenumber" name="L306" href="#L306">306</a> }
+<a class="jxr_linenumber" name="L307" href="#L307">307</a>
+<a class="jxr_linenumber" name="L308" href="#L308">308</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L309" href="#L309">309</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the inverse SF test points</em>
+<a class="jxr_linenumber" name="L310" href="#L310">310</a> <em class="jxr_javadoccomment"> * and values, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L311" href="#L311">311</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L312" href="#L312">312</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L313" href="#L313">313</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L314" href="#L314">314</a> Stream<Arguments> testInverseSurvivalProbability() {
+<a class="jxr_linenumber" name="L315" href="#L315">315</a> <strong class="jxr_keyword">return</strong> stream(TestName.ISF,
+<a class="jxr_linenumber" name="L316" href="#L316">316</a> ContinuousDistributionTestData::getIsfPoints,
+<a class="jxr_linenumber" name="L317" href="#L317">317</a> ContinuousDistributionTestData::getIsfValues);
+<a class="jxr_linenumber" name="L318" href="#L318">318</a> }
+<a class="jxr_linenumber" name="L319" href="#L319">319</a>
+<a class="jxr_linenumber" name="L320" href="#L320">320</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L321" href="#L321">321</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the test points</em>
+<a class="jxr_linenumber" name="L322" href="#L322">322</a> <em class="jxr_javadoccomment"> * to evaluate the CDF, and the test tolerance. The equality</em>
+<a class="jxr_linenumber" name="L323" href="#L323">323</a> <em class="jxr_javadoccomment"> * {@code cdf(x) = cdf(icdf(cdf(x)))} must be true within the tolerance.</em>
+<a class="jxr_linenumber" name="L324" href="#L324">324</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L325" href="#L325">325</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L326" href="#L326">326</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L327" href="#L327">327</a> Stream<Arguments> testCumulativeProbabilityInverseMapping() {
+<a class="jxr_linenumber" name="L328" href="#L328">328</a> <strong class="jxr_keyword">return</strong> stream(TestName.CDF_MAPPING,
+<a class="jxr_linenumber" name="L329" href="#L329">329</a> ContinuousDistributionTestData::getCdfPoints);
+<a class="jxr_linenumber" name="L330" href="#L330">330</a> }
+<a class="jxr_linenumber" name="L331" href="#L331">331</a>
+<a class="jxr_linenumber" name="L332" href="#L332">332</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L333" href="#L333">333</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the test points</em>
+<a class="jxr_linenumber" name="L334" href="#L334">334</a> <em class="jxr_javadoccomment"> * to evaluate the SF, and the test tolerance. The equality</em>
+<a class="jxr_linenumber" name="L335" href="#L335">335</a> <em class="jxr_javadoccomment"> * {@code sf(x) = sf(isf(sf(x)))} must be true within the tolerance.</em>
+<a class="jxr_linenumber" name="L336" href="#L336">336</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L337" href="#L337">337</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L338" href="#L338">338</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L339" href="#L339">339</a> Stream<Arguments> testSurvivalProbabilityInverseMapping() {
+<a class="jxr_linenumber" name="L340" href="#L340">340</a> <strong class="jxr_keyword">return</strong> stream(TestName.SF_MAPPING,
+<a class="jxr_linenumber" name="L341" href="#L341">341</a> ContinuousDistributionTestData::getSfPoints);
+<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> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L345" href="#L345">345</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the test points</em>
+<a class="jxr_linenumber" name="L346" href="#L346">346</a> <em class="jxr_javadoccomment"> * to evaluate the CDF, and the test tolerance. The equality</em>
+<a class="jxr_linenumber" name="L347" href="#L347">347</a> <em class="jxr_javadoccomment"> * {@code cdf(x) = cdf(icdf(cdf(x)))} must be true within the tolerance.</em>
+<a class="jxr_linenumber" name="L348" href="#L348">348</a> <em class="jxr_javadoccomment"> * This uses the points for the high-precision CDF.</em>
+<a class="jxr_linenumber" name="L349" href="#L349">349</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L350" href="#L350">350</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L351" href="#L351">351</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L352" href="#L352">352</a> Stream<Arguments> testCumulativeProbabilityHighPrecisionInverseMapping() {
+<a class="jxr_linenumber" name="L353" href="#L353">353</a> <strong class="jxr_keyword">return</strong> stream(TestName.CDF_HP_MAPPING,
+<a class="jxr_linenumber" name="L354" href="#L354">354</a> ContinuousDistributionTestData::getCdfHpPoints);
+<a class="jxr_linenumber" name="L355" href="#L355">355</a> }
+<a class="jxr_linenumber" name="L356" href="#L356">356</a>
+<a class="jxr_linenumber" name="L357" href="#L357">357</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L358" href="#L358">358</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the test points</em>
+<a class="jxr_linenumber" name="L359" href="#L359">359</a> <em class="jxr_javadoccomment"> * to evaluate the SF, and the test tolerance. The equality</em>
+<a class="jxr_linenumber" name="L360" href="#L360">360</a> <em class="jxr_javadoccomment"> * {@code sf(x) = sf(isf(sf(x)))} must be true within the tolerance.</em>
+<a class="jxr_linenumber" name="L361" href="#L361">361</a> <em class="jxr_javadoccomment"> * This uses the points for the high-precision SF.</em>
+<a class="jxr_linenumber" name="L362" href="#L362">362</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L363" href="#L363">363</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L364" href="#L364">364</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L365" href="#L365">365</a> Stream<Arguments> testSurvivalProbabilityHighPrecisionInverseMapping() {
+<a class="jxr_linenumber" name="L366" href="#L366">366</a> <strong class="jxr_keyword">return</strong> stream(TestName.SF_HP_MAPPING,
+<a class="jxr_linenumber" name="L367" href="#L367">367</a> ContinuousDistributionTestData::getSfHpPoints);
+<a class="jxr_linenumber" name="L368" href="#L368">368</a> }
+<a class="jxr_linenumber" name="L369" href="#L369">369</a>
+<a class="jxr_linenumber" name="L370" href="#L370">370</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L371" href="#L371">371</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the test points</em>
+<a class="jxr_linenumber" name="L372" href="#L372">372</a> <em class="jxr_javadoccomment"> * to evaluate the CDF and survival function, and the test tolerance. CDF + SF must equal 1.</em>
+<a class="jxr_linenumber" name="L373" href="#L373">373</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L374" href="#L374">374</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L375" href="#L375">375</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L376" href="#L376">376</a> Stream<Arguments> testSurvivalAndCumulativeProbabilityComplement() {
+<a class="jxr_linenumber" name="L377" href="#L377">377</a> <em class="jxr_comment">// This is not disabled based on cdf.disable && sf.disable.</em>
+<a class="jxr_linenumber" name="L378" href="#L378">378</a> <em class="jxr_comment">// Those flags are intended to ignore tests against reference values.</em>
+<a class="jxr_linenumber" name="L379" href="#L379">379</a> <strong class="jxr_keyword">return</strong> stream(TestName.COMPLEMENT,
+<a class="jxr_linenumber" name="L380" href="#L380">380</a> ContinuousDistributionTestData::getCdfPoints);
+<a class="jxr_linenumber" name="L381" href="#L381">381</a> }
+<a class="jxr_linenumber" name="L382" href="#L382">382</a>
+<a class="jxr_linenumber" name="L383" href="#L383">383</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L384" href="#L384">384</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the test points</em>
+<a class="jxr_linenumber" name="L385" href="#L385">385</a> <em class="jxr_javadoccomment"> * to evaluate the CDF and probability in a range, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L386" href="#L386">386</a> <em class="jxr_javadoccomment"> * Used to test CDF(x1) - CDF(x0) = probability(x0, x1).</em>
+<a class="jxr_linenumber" name="L387" href="#L387">387</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L388" href="#L388">388</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L389" href="#L389">389</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L390" href="#L390">390</a> Stream<Arguments> testConsistency() {
+<a class="jxr_linenumber" name="L391" href="#L391">391</a> <em class="jxr_comment">// This is not disabled based on cdf.disable.</em>
+<a class="jxr_linenumber" name="L392" href="#L392">392</a> <em class="jxr_comment">// That flag is intended to ignore tests against reference values.</em>
+<a class="jxr_linenumber" name="L393" href="#L393">393</a> <strong class="jxr_keyword">return</strong> stream(TestName.CONSISTENCY,
+<a class="jxr_linenumber" name="L394" href="#L394">394</a> ContinuousDistributionTestData::getCdfPoints);
+<a class="jxr_linenumber" name="L395" href="#L395">395</a> }
+<a class="jxr_linenumber" name="L396" href="#L396">396</a>
+<a class="jxr_linenumber" name="L397" href="#L397">397</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L398" href="#L398">398</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test sampling.</em>
+<a class="jxr_linenumber" name="L399" href="#L399">399</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L400" href="#L400">400</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L401" href="#L401">401</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L402" href="#L402">402</a> Stream<Arguments> testSampling() {
+<a class="jxr_linenumber" name="L403" href="#L403">403</a> <strong class="jxr_keyword">return</strong> stream(TestName.SAMPLING);
+<a class="jxr_linenumber" name="L404" href="#L404">404</a> }
+<a class="jxr_linenumber" name="L405" href="#L405">405</a>
+<a class="jxr_linenumber" name="L406" href="#L406">406</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L407" href="#L407">407</a> <em class="jxr_javadoccomment"> * Stream the arguments to test the density integrals. The test</em>
+<a class="jxr_linenumber" name="L408" href="#L408">408</a> <em class="jxr_javadoccomment"> * integrates the density function between consecutive test points for the cumulative</em>
+<a class="jxr_linenumber" name="L409" href="#L409">409</a> <em class="jxr_javadoccomment"> * density function. The default tolerance is based on the convergence tolerance of</em>
+<a class="jxr_linenumber" name="L410" href="#L410">410</a> <em class="jxr_javadoccomment"> * the underlying integrator (abs=1e-10, rel=1e-12).</em>
+<a class="jxr_linenumber" name="L411" href="#L411">411</a> <em class="jxr_javadoccomment"> * Override this method to change the tolerance.</em>
+<a class="jxr_linenumber" name="L412" href="#L412">412</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L413" href="#L413">413</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L414" href="#L414">414</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L415" href="#L415">415</a> Stream<Arguments> testDensityIntegrals() {
+<a class="jxr_linenumber" name="L416" href="#L416">416</a> <em class="jxr_comment">// Create a tolerance suitable for the same thresholds used by the integrator.</em>
+<a class="jxr_linenumber" name="L417" href="#L417">417</a> <strong class="jxr_keyword">final</strong> Function<ContinuousDistributionTestData, DoubleTolerance> tolerance =
+<a class="jxr_linenumber" name="L418" href="#L418">418</a> d -> createAbsOrRelTolerance(INTEGRATOR_ABS_ACCURACY * 10, INTEGRATOR_REL_ACCURACY * 10);
+<a class="jxr_linenumber" name="L419" href="#L419">419</a> <strong class="jxr_keyword">final</strong> <a name="TestName" href="../../../../../org/apache/commons/statistics/distribution/TestName.html#TestName">TestName</a> name = TestName.INTEGRALS;
+<a class="jxr_linenumber" name="L420" href="#L420">420</a> <strong class="jxr_keyword">return</strong> stream(d -> d.isDisabled(name),
+<a class="jxr_linenumber" name="L421" href="#L421">421</a> ContinuousDistributionTestData::getCdfPoints,
+<a class="jxr_linenumber" name="L422" href="#L422">422</a> ContinuousDistributionTestData::getCdfValues,
+<a class="jxr_linenumber" name="L423" href="#L423">423</a> tolerance, name.toString());
+<a class="jxr_linenumber" name="L424" href="#L424">424</a> }
+<a class="jxr_linenumber" name="L425" href="#L425">425</a>
+<a class="jxr_linenumber" name="L426" href="#L426">426</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L427" href="#L427">427</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the support</em>
+<a class="jxr_linenumber" name="L428" href="#L428">428</a> <em class="jxr_javadoccomment"> * lower and upper bound, and the support connect flag.</em>
+<a class="jxr_linenumber" name="L429" href="#L429">429</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L430" href="#L430">430</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L431" href="#L431">431</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L432" href="#L432">432</a> Stream<Arguments> testSupport() {
+<a class="jxr_linenumber" name="L433" href="#L433">433</a> <strong class="jxr_keyword">return</strong> streamArguments(TestName.SUPPORT,
+<a class="jxr_linenumber" name="L434" href="#L434">434</a> d -> Arguments.of(namedDistribution(d.getParameters()), d.getLower(), d.getUpper()));
+<a class="jxr_linenumber" name="L435" href="#L435">435</a> }
+<a class="jxr_linenumber" name="L436" href="#L436">436</a>
+<a class="jxr_linenumber" name="L437" href="#L437">437</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L438" href="#L438">438</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test, the mean</em>
+<a class="jxr_linenumber" name="L439" href="#L439">439</a> <em class="jxr_javadoccomment"> * and variance, and the test tolerance.</em>
+<a class="jxr_linenumber" name="L440" href="#L440">440</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L441" href="#L441">441</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L442" href="#L442">442</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L443" href="#L443">443</a> Stream<Arguments> testMoments() {
+<a class="jxr_linenumber" name="L444" href="#L444">444</a> <strong class="jxr_keyword">final</strong> <a name="TestName" href="../../../../../org/apache/commons/statistics/distribution/TestName.html#TestName">TestName</a> name = TestName.MOMENTS;
+<a class="jxr_linenumber" name="L445" href="#L445">445</a> <strong class="jxr_keyword">return</strong> streamArguments(name,
+<a class="jxr_linenumber" name="L446" href="#L446">446</a> d -> Arguments.of(namedDistribution(d.getParameters()), d.getMean(), d.getVariance(),
+<a class="jxr_linenumber" name="L447" href="#L447">447</a> createTestTolerance(d, name)));
+<a class="jxr_linenumber" name="L448" href="#L448">448</a> }
+<a class="jxr_linenumber" name="L449" href="#L449">449</a>
+<a class="jxr_linenumber" name="L450" href="#L450">450</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L451" href="#L451">451</a> <em class="jxr_javadoccomment"> * Create a stream of arguments containing the distribution to test and the test tolerance.</em>
+<a class="jxr_linenumber" name="L452" href="#L452">452</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L453" href="#L453">453</a> <em class="jxr_javadoccomment"> * @return the stream</em>
+<a class="jxr_linenumber" name="L454" href="#L454">454</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L455" href="#L455">455</a> Stream<Arguments> testMedian() {
+<a class="jxr_linenumber" name="L456" href="#L456">456</a> <strong class="jxr_keyword">final</strong> <a name="TestName" href="../../../../../org/apache/commons/statistics/distribution/TestName.html#TestName">TestName</a> name = TestName.MEDIAN;
+<a class="jxr_linenumber" name="L457" href="#L457">457</a> <strong class="jxr_keyword">return</strong> streamArguments(name,
+<a class="jxr_linenumber" name="L458" href="#L458">458</a> d -> Arguments.of(namedDistribution(d.getParameters()), createTestTolerance(d, name)));
+<a class="jxr_linenumber" name="L459" href="#L459">459</a> }
+<a class="jxr_linenumber" name="L460" href="#L460">460</a>
+<a class="jxr_linenumber" name="L461" href="#L461">461</a> <em class="jxr_comment">//------------------------ Tests -----------------------------</em>
+<a class="jxr_linenumber" name="L462" href="#L462">462</a>
+<a class="jxr_linenumber" name="L463" href="#L463">463</a> <em class="jxr_comment">// Tests are final. It is expected that the test can be modified by overriding</em>
+<a class="jxr_linenumber" name="L464" href="#L464">464</a> <em class="jxr_comment">// the method used to stream the arguments, for example to use a specific tolerance</em>
+<a class="jxr_linenumber" name="L465" href="#L465">465</a> <em class="jxr_comment">// for a test in preference to the tolerance defined in the properties file.</em>
+<a class="jxr_linenumber" name="L466" href="#L466">466</a>
+<a class="jxr_linenumber" name="L467" href="#L467">467</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L468" href="#L468">468</a> <em class="jxr_javadoccomment"> * Test that density calculations match expected values.</em>
+<a class="jxr_linenumber" name="L469" href="#L469">469</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L470" href="#L470">470</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L471" href="#L471">471</a> @MethodSource
+<a class="jxr_linenumber" name="L472" href="#L472">472</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testDensity(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L473" href="#L473">473</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L474" href="#L474">474</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L475" href="#L475">475</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L476" href="#L476">476</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L477" href="#L477">477</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = points[i];
+<a class="jxr_linenumber" name="L478" href="#L478">478</a> TestUtils.assertEquals(values[i],
+<a class="jxr_linenumber" name="L479" href="#L479">479</a> dist.density(x), tolerance,
+<a class="jxr_linenumber" name="L480" href="#L480">480</a> () -> <span class="jxr_string">"Incorrect probability density value returned for "</span> + x);
+<a class="jxr_linenumber" name="L481" href="#L481">481</a> }
+<a class="jxr_linenumber" name="L482" href="#L482">482</a> }
+<a class="jxr_linenumber" name="L483" href="#L483">483</a>
+<a class="jxr_linenumber" name="L484" href="#L484">484</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L485" href="#L485">485</a> <em class="jxr_javadoccomment"> * Test that logarithmic density calculations match expected values.</em>
+<a class="jxr_linenumber" name="L486" href="#L486">486</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L487" href="#L487">487</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L488" href="#L488">488</a> @MethodSource
+<a class="jxr_linenumber" name="L489" href="#L489">489</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testLogDensity(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L490" href="#L490">490</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L491" href="#L491">491</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L492" href="#L492">492</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L493" href="#L493">493</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L494" href="#L494">494</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = points[i];
+<a class="jxr_linenumber" name="L495" href="#L495">495</a> TestUtils.assertEquals(values[i],
+<a class="jxr_linenumber" name="L496" href="#L496">496</a> dist.logDensity(x), tolerance,
+<a class="jxr_linenumber" name="L497" href="#L497">497</a> () -> <span class="jxr_string">"Incorrect probability density value returned for "</span> + x);
+<a class="jxr_linenumber" name="L498" href="#L498">498</a> }
+<a class="jxr_linenumber" name="L499" href="#L499">499</a> }
+<a class="jxr_linenumber" name="L500" href="#L500">500</a>
+<a class="jxr_linenumber" name="L501" href="#L501">501</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L502" href="#L502">502</a> <em class="jxr_javadoccomment"> * Test that cumulative probability density calculations match expected values.</em>
+<a class="jxr_linenumber" name="L503" href="#L503">503</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L504" href="#L504">504</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L505" href="#L505">505</a> @MethodSource
+<a class="jxr_linenumber" name="L506" href="#L506">506</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testCumulativeProbability(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L507" href="#L507">507</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L508" href="#L508">508</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L509" href="#L509">509</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L510" href="#L510">510</a> <em class="jxr_comment">// verify cumulativeProbability(double)</em>
+<a class="jxr_linenumber" name="L511" href="#L511">511</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L512" href="#L512">512</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = points[i];
+<a class="jxr_linenumber" name="L513" href="#L513">513</a> TestUtils.assertEquals(values[i],
+<a class="jxr_linenumber" name="L514" href="#L514">514</a> dist.cumulativeProbability(x),
+<a class="jxr_linenumber" name="L515" href="#L515">515</a> tolerance,
+<a class="jxr_linenumber" name="L516" href="#L516">516</a> () -> <span class="jxr_string">"Incorrect cumulative probability value returned for "</span> + x);
+<a class="jxr_linenumber" name="L517" href="#L517">517</a> }
+<a class="jxr_linenumber" name="L518" href="#L518">518</a> }
+<a class="jxr_linenumber" name="L519" href="#L519">519</a>
+<a class="jxr_linenumber" name="L520" href="#L520">520</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L521" href="#L521">521</a> <em class="jxr_javadoccomment"> * Test that survival probability density calculations match expected values.</em>
+<a class="jxr_linenumber" name="L522" href="#L522">522</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L523" href="#L523">523</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L524" href="#L524">524</a> @MethodSource
+<a class="jxr_linenumber" name="L525" href="#L525">525</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testSurvivalProbability(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L526" href="#L526">526</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L527" href="#L527">527</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L528" href="#L528">528</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L529" href="#L529">529</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L530" href="#L530">530</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = points[i];
+<a class="jxr_linenumber" name="L531" href="#L531">531</a> TestUtils.assertEquals(
+<a class="jxr_linenumber" name="L532" href="#L532">532</a> values[i],
+<a class="jxr_linenumber" name="L533" href="#L533">533</a> dist.survivalProbability(points[i]),
+<a class="jxr_linenumber" name="L534" href="#L534">534</a> tolerance,
+<a class="jxr_linenumber" name="L535" href="#L535">535</a> () -> <span class="jxr_string">"Incorrect survival probability value returned for "</span> + x);
+<a class="jxr_linenumber" name="L536" href="#L536">536</a> }
+<a class="jxr_linenumber" name="L537" href="#L537">537</a> }
+<a class="jxr_linenumber" name="L538" href="#L538">538</a>
+<a class="jxr_linenumber" name="L539" href="#L539">539</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L540" href="#L540">540</a> <em class="jxr_javadoccomment"> * Test that cumulative probability is not {@code (1 - survival probability)} by testing values</em>
+<a class="jxr_linenumber" name="L541" href="#L541">541</a> <em class="jxr_javadoccomment"> * that would result in inaccurate results if simply calculating (1 - sf).</em>
+<a class="jxr_linenumber" name="L542" href="#L542">542</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L543" href="#L543">543</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L544" href="#L544">544</a> @MethodSource
+<a class="jxr_linenumber" name="L545" href="#L545">545</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testCumulativeProbabilityHighPrecision(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L546" href="#L546">546</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L547" href="#L547">547</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L548" href="#L548">548</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L549" href="#L549">549</a> assertHighPrecision(tolerance, values);
+<a class="jxr_linenumber" name="L550" href="#L550">550</a> testCumulativeProbability(dist, points, values, tolerance);
+<a class="jxr_linenumber" name="L551" href="#L551">551</a> }
+<a class="jxr_linenumber" name="L552" href="#L552">552</a>
+<a class="jxr_linenumber" name="L553" href="#L553">553</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L554" href="#L554">554</a> <em class="jxr_javadoccomment"> * Test that survival probability is not {@code (1 - cumulative probability)} by testing values</em>
+<a class="jxr_linenumber" name="L555" href="#L555">555</a> <em class="jxr_javadoccomment"> * that would result in inaccurate results if simply calculating (1 - cdf).</em>
+<a class="jxr_linenumber" name="L556" href="#L556">556</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L557" href="#L557">557</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L558" href="#L558">558</a> @MethodSource
+<a class="jxr_linenumber" name="L559" href="#L559">559</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testSurvivalProbabilityHighPrecision(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L560" href="#L560">560</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L561" href="#L561">561</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L562" href="#L562">562</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L563" href="#L563">563</a> assertHighPrecision(tolerance, values);
+<a class="jxr_linenumber" name="L564" href="#L564">564</a> testSurvivalProbability(dist, points, values, tolerance);
+<a class="jxr_linenumber" name="L565" href="#L565">565</a> }
+<a class="jxr_linenumber" name="L566" href="#L566">566</a>
+<a class="jxr_linenumber" name="L567" href="#L567">567</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L568" href="#L568">568</a> <em class="jxr_javadoccomment"> * Test that inverse cumulative probability density calculations match expected values.</em>
+<a class="jxr_linenumber" name="L569" href="#L569">569</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L570" href="#L570">570</a> <em class="jxr_javadoccomment"> * <p>Note: Any expected values outside the support of the distribution are ignored.</em>
+<a class="jxr_linenumber" name="L571" href="#L571">571</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L572" href="#L572">572</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L573" href="#L573">573</a> @MethodSource
+<a class="jxr_linenumber" name="L574" href="#L574">574</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testInverseCumulativeProbability(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L575" href="#L575">575</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L576" href="#L576">576</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L577" href="#L577">577</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L578" href="#L578">578</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> lower = dist.getSupportLowerBound();
+<a class="jxr_linenumber" name="L579" href="#L579">579</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> upper = dist.getSupportUpperBound();
+<a class="jxr_linenumber" name="L580" href="#L580">580</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L581" href="#L581">581</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = values[i];
+<a class="jxr_linenumber" name="L582" href="#L582">582</a> <strong class="jxr_keyword">if</strong> (x < lower || x > upper) {
+<a class="jxr_linenumber" name="L583" href="#L583">583</a> <strong class="jxr_keyword">continue</strong>;
+<a class="jxr_linenumber" name="L584" href="#L584">584</a> }
+<a class="jxr_linenumber" name="L585" href="#L585">585</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p = points[i];
+<a class="jxr_linenumber" name="L586" href="#L586">586</a> TestUtils.assertEquals(
+<a class="jxr_linenumber" name="L587" href="#L587">587</a> x,
+<a class="jxr_linenumber" name="L588" href="#L588">588</a> dist.inverseCumulativeProbability(p),
+<a class="jxr_linenumber" name="L589" href="#L589">589</a> tolerance,
+<a class="jxr_linenumber" name="L590" href="#L590">590</a> () -> <span class="jxr_string">"Incorrect inverse cumulative probability value returned for "</span> + p);
+<a class="jxr_linenumber" name="L591" href="#L591">591</a> }
+<a class="jxr_linenumber" name="L592" href="#L592">592</a> }
+<a class="jxr_linenumber" name="L593" href="#L593">593</a>
+<a class="jxr_linenumber" name="L594" href="#L594">594</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L595" href="#L595">595</a> <em class="jxr_javadoccomment"> * Test that inverse survival probability density calculations match expected values.</em>
+<a class="jxr_linenumber" name="L596" href="#L596">596</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L597" href="#L597">597</a> <em class="jxr_javadoccomment"> * <p>Note: Any expected values outside the support of the distribution are ignored.</em>
+<a class="jxr_linenumber" name="L598" href="#L598">598</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L599" href="#L599">599</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L600" href="#L600">600</a> @MethodSource
+<a class="jxr_linenumber" name="L601" href="#L601">601</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testInverseSurvivalProbability(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L602" href="#L602">602</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L603" href="#L603">603</a> <strong class="jxr_keyword">double</strong>[] values,
+<a class="jxr_linenumber" name="L604" href="#L604">604</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L605" href="#L605">605</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> lower = dist.getSupportLowerBound();
+<a class="jxr_linenumber" name="L606" href="#L606">606</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> upper = dist.getSupportUpperBound();
+<a class="jxr_linenumber" name="L607" href="#L607">607</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L608" href="#L608">608</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = values[i];
+<a class="jxr_linenumber" name="L609" href="#L609">609</a> <strong class="jxr_keyword">if</strong> (x < lower || x > upper) {
+<a class="jxr_linenumber" name="L610" href="#L610">610</a> <strong class="jxr_keyword">continue</strong>;
+<a class="jxr_linenumber" name="L611" href="#L611">611</a> }
+<a class="jxr_linenumber" name="L612" href="#L612">612</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p = points[i];
+<a class="jxr_linenumber" name="L613" href="#L613">613</a> TestUtils.assertEquals(
+<a class="jxr_linenumber" name="L614" href="#L614">614</a> x,
+<a class="jxr_linenumber" name="L615" href="#L615">615</a> dist.inverseSurvivalProbability(p),
+<a class="jxr_linenumber" name="L616" href="#L616">616</a> tolerance,
+<a class="jxr_linenumber" name="L617" href="#L617">617</a> () -> <span class="jxr_string">"Incorrect inverse survival probability value returned for "</span> + p);
+<a class="jxr_linenumber" name="L618" href="#L618">618</a> }
+<a class="jxr_linenumber" name="L619" href="#L619">619</a> }
+<a class="jxr_linenumber" name="L620" href="#L620">620</a>
+<a class="jxr_linenumber" name="L621" href="#L621">621</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L622" href="#L622">622</a> <em class="jxr_javadoccomment"> * Test that an inverse mapping of the cumulative probability density values matches</em>
+<a class="jxr_linenumber" name="L623" href="#L623">623</a> <em class="jxr_javadoccomment"> * the original point, {@code x = icdf(cdf(x))}.</em>
+<a class="jxr_linenumber" name="L624" href="#L624">624</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L625" href="#L625">625</a> <em class="jxr_javadoccomment"> * <p>Note: It is possible for two points to compute the same CDF value. In this</em>
+<a class="jxr_linenumber" name="L626" href="#L626">626</a> <em class="jxr_javadoccomment"> * case the mapping is not a bijection. Thus a further forward mapping is performed</em>
+<a class="jxr_linenumber" name="L627" href="#L627">627</a> <em class="jxr_javadoccomment"> * to check {@code cdf(x) = cdf(icdf(cdf(x)))} within the allowed tolerance.</em>
+<a class="jxr_linenumber" name="L628" href="#L628">628</a> <em class="jxr_javadoccomment"> *</em>
+<a class="jxr_linenumber" name="L629" href="#L629">629</a> <em class="jxr_javadoccomment"> * <p>Note: Any points outside the support of the distribution are ignored.</em>
+<a class="jxr_linenumber" name="L630" href="#L630">630</a> <em class="jxr_javadoccomment"> */</em>
+<a class="jxr_linenumber" name="L631" href="#L631">631</a> @ParameterizedTest
+<a class="jxr_linenumber" name="L632" href="#L632">632</a> @MethodSource
+<a class="jxr_linenumber" name="L633" href="#L633">633</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">void</strong> testCumulativeProbabilityInverseMapping(ContinuousDistribution dist,
+<a class="jxr_linenumber" name="L634" href="#L634">634</a> <strong class="jxr_keyword">double</strong>[] points,
+<a class="jxr_linenumber" name="L635" href="#L635">635</a> <a name="DoubleTolerance" href="../../../../../org/apache/commons/statistics/distribution/DoubleTolerance.html#DoubleTolerance">DoubleTolerance</a> tolerance) {
+<a class="jxr_linenumber" name="L636" href="#L636">636</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> lower = dist.getSupportLowerBound();
+<a class="jxr_linenumber" name="L637" href="#L637">637</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> upper = dist.getSupportUpperBound();
+<a class="jxr_linenumber" name="L638" href="#L638">638</a> <strong class="jxr_keyword">for</strong> (<strong class="jxr_keyword">int</strong> i = 0; i < points.length; i++) {
+<a class="jxr_linenumber" name="L639" href="#L639">639</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x = points[i];
+<a class="jxr_linenumber" name="L640" href="#L640">640</a> <strong class="jxr_keyword">if</strong> (x < lower || x > upper) {
+<a class="jxr_linenumber" name="L641" href="#L641">641</a> <strong class="jxr_keyword">continue</strong>;
+<a class="jxr_linenumber" name="L642" href="#L642">642</a> }
+<a class="jxr_linenumber" name="L643" href="#L643">643</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p = dist.cumulativeProbability(x);
+<a class="jxr_linenumber" name="L644" href="#L644">644</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> x1 = dist.inverseCumulativeProbability(p);
+<a class="jxr_linenumber" name="L645" href="#L645">645</a> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> p1 = dist.cumulativeProbability(x1);
+<a class="jxr_linenumber" name="L646" href="#L646">646</a> <em class="jxr_comment">// Check the inverse CDF computed a value that will return to the</em>
+<a class="jxr_linenumber" name="L647" href="#L647">647</a> <em class="jxr_comment">// same probability value.</em>
+<a class="jxr_linenumber" name="L648" href="#L648">648</a> TestUtils.assertEquals(
+<a class="jxr_linenumber" name="L649" href="#L649">649</a> p,
+<a class="jxr_linenumber" name="L650" href="#L650">650</a> p1,
+<a class="jxr_linenumber" name="L651" href="#L651">651</a> tolerance,
+<a class="jxr_linenumber" name="L652" href="#L652">652</a> () -> <span class="jxr_string">"Incorrect CDF(inverse CDF(CDF(x))) value returned for "</span> + x);
+<a class="jxr_linenumber" name="L653" href="#L653">653</a> }
+<a class="jxr_linenumber" name="L654" href="#L654">654</a> }
+<a class="jxr_linenumber" name="L655" href="#L655">655</a>
+<a class="jxr_linenumber" name="L656" href="#L656">656</a> <em class="jxr_javadoccomment">/**</em>
+<a class="jxr_linenumber" name="L657" href="#L657">657</a> <em class="jxr_javadoccomment"> * Test that an inverse mapping of the survival probability density values matches</em>
+<a class="jxr_linenumber" name="L658" href="#L658">658</a> <em class="jxr_javadoccomment"> * the original point, {@code x = isf(sf(x))}.</em>
+<a class="jxr_linenumber" name="L659" href="#L659">659</a> <em class="jxr_javadoccomment"> *</em>
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