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-<title>LogNormalDistribution xref</title>
-<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
-</head>
-<body>
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 Javadoc</a></div><pre>
-<a class="jxr_linenumber" name="L1" href="#L1">1</a>   <em 
class="jxr_comment">/*</em>
-<a class="jxr_linenumber" name="L2" href="#L2">2</a>   <em 
class="jxr_comment"> * Licensed to the Apache Software Foundation (ASF) under 
one or more</em>
-<a class="jxr_linenumber" name="L3" href="#L3">3</a>   <em 
class="jxr_comment"> * contributor license agreements.  See the NOTICE file 
distributed with</em>
-<a class="jxr_linenumber" name="L4" href="#L4">4</a>   <em 
class="jxr_comment"> * this work for additional information regarding copyright 
ownership.</em>
-<a class="jxr_linenumber" name="L5" href="#L5">5</a>   <em 
class="jxr_comment"> * The ASF licenses this file to You under the Apache 
License, Version 2.0</em>
-<a class="jxr_linenumber" name="L6" href="#L6">6</a>   <em 
class="jxr_comment"> * (the "License"); you may not use this file except in 
compliance with</em>
-<a class="jxr_linenumber" name="L7" href="#L7">7</a>   <em 
class="jxr_comment"> * the License.  You may obtain a copy of the License 
at</em>
-<a class="jxr_linenumber" name="L8" href="#L8">8</a>   <em 
class="jxr_comment"> *</em>
-<a class="jxr_linenumber" name="L9" href="#L9">9</a>   <em 
class="jxr_comment"> *      <a href="http://www.apache.org/licenses/LICENSE-2."; 
target="alexandria_uri">http://www.apache.org/licenses/LICENSE-2.</a>0</em>
-<a class="jxr_linenumber" name="L10" href="#L10">10</a>  <em 
class="jxr_comment"> *</em>
-<a class="jxr_linenumber" name="L11" href="#L11">11</a>  <em 
class="jxr_comment"> * Unless required by applicable law or agreed to in 
writing, software</em>
-<a class="jxr_linenumber" name="L12" href="#L12">12</a>  <em 
class="jxr_comment"> * distributed under the License is distributed on an "AS 
IS" BASIS,</em>
-<a class="jxr_linenumber" name="L13" href="#L13">13</a>  <em 
class="jxr_comment"> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either 
express or implied.</em>
-<a class="jxr_linenumber" name="L14" href="#L14">14</a>  <em 
class="jxr_comment"> * See the License for the specific language governing 
permissions and</em>
-<a class="jxr_linenumber" name="L15" href="#L15">15</a>  <em 
class="jxr_comment"> * limitations under the License.</em>
-<a class="jxr_linenumber" name="L16" href="#L16">16</a>  <em 
class="jxr_comment"> */</em>
-<a class="jxr_linenumber" name="L17" href="#L17">17</a>  
-<a class="jxr_linenumber" name="L18" href="#L18">18</a>  <strong 
class="jxr_keyword">package</strong> org.apache.commons.math3.distribution;
-<a class="jxr_linenumber" name="L19" href="#L19">19</a>  
-<a class="jxr_linenumber" name="L20" href="#L20">20</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.exception.NotStrictlyPositiveException;
-<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.exception.NumberIsTooLargeException;
-<a class="jxr_linenumber" name="L22" href="#L22">22</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.exception.util.LocalizedFormats;
-<a class="jxr_linenumber" name="L23" href="#L23">23</a>  <strong 
class="jxr_keyword">import</strong> 
org.apache.commons.math3.random.RandomGenerator;
-<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <strong 
class="jxr_keyword">import</strong> org.apache.commons.math3.random.Well19937c;
-<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <strong 
class="jxr_keyword">import</strong> org.apache.commons.math3.special.Erf;
-<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <strong 
class="jxr_keyword">import</strong> org.apache.commons.math3.util.FastMath;
-<a class="jxr_linenumber" name="L27" href="#L27">27</a>  
-<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>  <em 
class="jxr_javadoccomment"> * Implementation of the log-normal (gaussian) 
distribution.</em>
-<a class="jxr_linenumber" name="L30" href="#L30">30</a>  <em 
class="jxr_javadoccomment"> *</em>
-<a class="jxr_linenumber" name="L31" href="#L31">31</a>  <em 
class="jxr_javadoccomment"> * &lt;p&gt;</em>
-<a class="jxr_linenumber" name="L32" href="#L32">32</a>  <em 
class="jxr_javadoccomment"> * &lt;strong&gt;Parameters:&lt;/strong&gt;</em>
-<a class="jxr_linenumber" name="L33" href="#L33">33</a>  <em 
class="jxr_javadoccomment"> * {@code X} is log-normally distributed if its 
natural logarithm {@code log(X)}</em>
-<a class="jxr_linenumber" name="L34" href="#L34">34</a>  <em 
class="jxr_javadoccomment"> * is normally distributed. The probability 
distribution function of {@code X}</em>
-<a class="jxr_linenumber" name="L35" href="#L35">35</a>  <em 
class="jxr_javadoccomment"> * is given by (for {@code x &gt; 0})</em>
-<a class="jxr_linenumber" name="L36" href="#L36">36</a>  <em 
class="jxr_javadoccomment"> * &lt;/p&gt;</em>
-<a class="jxr_linenumber" name="L37" href="#L37">37</a>  <em 
class="jxr_javadoccomment"> * &lt;p&gt;</em>
-<a class="jxr_linenumber" name="L38" href="#L38">38</a>  <em 
class="jxr_javadoccomment"> * {@code exp(-0.5 * ((ln(x) - m) / s)^2) / (s * 
sqrt(2 * pi) * x)}</em>
-<a class="jxr_linenumber" name="L39" href="#L39">39</a>  <em 
class="jxr_javadoccomment"> * &lt;/p&gt;</em>
-<a class="jxr_linenumber" name="L40" href="#L40">40</a>  <em 
class="jxr_javadoccomment"> * &lt;ul&gt;</em>
-<a class="jxr_linenumber" name="L41" href="#L41">41</a>  <em 
class="jxr_javadoccomment"> * &lt;li&gt;{@code m} is the 
&lt;em&gt;scale&lt;/em&gt; parameter: this is the mean of the</em>
-<a class="jxr_linenumber" name="L42" href="#L42">42</a>  <em 
class="jxr_javadoccomment"> * normally distributed natural logarithm of this 
distribution,&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L43" href="#L43">43</a>  <em 
class="jxr_javadoccomment"> * &lt;li&gt;{@code s} is the 
&lt;em&gt;shape&lt;/em&gt; parameter: this is the standard</em>
-<a class="jxr_linenumber" name="L44" href="#L44">44</a>  <em 
class="jxr_javadoccomment"> * deviation of the normally distributed natural 
logarithm of this</em>
-<a class="jxr_linenumber" name="L45" href="#L45">45</a>  <em 
class="jxr_javadoccomment"> * distribution.</em>
-<a class="jxr_linenumber" name="L46" href="#L46">46</a>  <em 
class="jxr_javadoccomment"> * &lt;/ul&gt;</em>
-<a class="jxr_linenumber" name="L47" href="#L47">47</a>  <em 
class="jxr_javadoccomment"> *</em>
-<a class="jxr_linenumber" name="L48" href="#L48">48</a>  <em 
class="jxr_javadoccomment"> * @see &lt;a href="<a 
href="http://en.wikipedia.org/wiki/Log-normal_distribution"; 
target="alexandria_uri">http://en.wikipedia.org/wiki/Log-normal_distribution</a>"&gt;</em>
-<a class="jxr_linenumber" name="L49" href="#L49">49</a>  <em 
class="jxr_javadoccomment"> * Log-normal distribution (Wikipedia)&lt;/a&gt;</em>
-<a class="jxr_linenumber" name="L50" href="#L50">50</a>  <em 
class="jxr_javadoccomment"> * @see &lt;a href="<a 
href="http://mathworld.wolfram.com/LogNormalDistribution.html"; 
target="alexandria_uri">http://mathworld.wolfram.com/LogNormalDistribution.html</a>"&gt;</em>
-<a class="jxr_linenumber" name="L51" href="#L51">51</a>  <em 
class="jxr_javadoccomment"> * Log Normal distribution (MathWorld)&lt;/a&gt;</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>  <em 
class="jxr_javadoccomment"> * @since 3.0</em>
-<a class="jxr_linenumber" name="L54" href="#L54">54</a>  <em 
class="jxr_javadoccomment"> */</em>
-<a class="jxr_linenumber" name="L55" href="#L55">55</a>  <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> 
<a 
href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html">LogNormalDistribution</a>
 <strong class="jxr_keyword">extends</strong> <a 
href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html">AbstractRealDistribution</a>
 {
-<a class="jxr_linenumber" name="L56" href="#L56">56</a>      <em 
class="jxr_javadoccomment">/** Default inverse cumulative probability accuracy. 
*/</em>
-<a class="jxr_linenumber" name="L57" href="#L57">57</a>      <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">static</strong> 
<strong class="jxr_keyword">final</strong> <strong 
class="jxr_keyword">double</strong> DEFAULT_INVERSE_ABSOLUTE_ACCURACY = 1e-9;
-<a class="jxr_linenumber" name="L58" href="#L58">58</a>  
-<a class="jxr_linenumber" name="L59" href="#L59">59</a>      <em 
class="jxr_javadoccomment">/** Serializable version identifier. */</em>
-<a class="jxr_linenumber" name="L60" href="#L60">60</a>      <strong 
class="jxr_keyword">private</strong> <strong 
class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> 
<strong class="jxr_keyword">long</strong> serialVersionUID = 20120112;
-<a class="jxr_linenumber" name="L61" href="#L61">61</a>  
-<a class="jxr_linenumber" name="L62" href="#L62">62</a>      <em 
class="jxr_javadoccomment">/** &amp;radic;(2 &amp;pi;) */</em>
-<a class="jxr_linenumber" name="L63" href="#L63">63</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> SQRT2PI = FastMath.sqrt(2 * 
FastMath.PI);
-<a class="jxr_linenumber" name="L64" href="#L64">64</a>  
-<a class="jxr_linenumber" name="L65" href="#L65">65</a>      <em 
class="jxr_javadoccomment">/** &amp;radic;(2) */</em>
-<a class="jxr_linenumber" name="L66" href="#L66">66</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> SQRT2 = FastMath.sqrt(2.0);
-<a class="jxr_linenumber" name="L67" href="#L67">67</a>  
-<a class="jxr_linenumber" name="L68" href="#L68">68</a>      <em 
class="jxr_javadoccomment">/** The scale parameter of this distribution. */</em>
-<a class="jxr_linenumber" name="L69" href="#L69">69</a>      <strong 
class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> 
<strong class="jxr_keyword">double</strong> scale;
-<a class="jxr_linenumber" name="L70" href="#L70">70</a>  
-<a class="jxr_linenumber" name="L71" href="#L71">71</a>      <em 
class="jxr_javadoccomment">/** The shape parameter of this distribution. */</em>
-<a class="jxr_linenumber" name="L72" href="#L72">72</a>      <strong 
class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> 
<strong class="jxr_keyword">double</strong> shape;
-<a class="jxr_linenumber" name="L73" href="#L73">73</a>      <em 
class="jxr_javadoccomment">/** The value of {@code log(shape) + 0.5 * 
log(2*PI)} stored for faster computation. */</em>
-<a class="jxr_linenumber" name="L74" href="#L74">74</a>      <strong 
class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> 
<strong class="jxr_keyword">double</strong> logShapePlusHalfLog2Pi;
-<a class="jxr_linenumber" name="L75" href="#L75">75</a>  
-<a class="jxr_linenumber" name="L76" href="#L76">76</a>      <em 
class="jxr_javadoccomment">/** Inverse cumulative probability accuracy. */</em>
-<a class="jxr_linenumber" name="L77" href="#L77">77</a>      <strong 
class="jxr_keyword">private</strong> <strong class="jxr_keyword">final</strong> 
<strong class="jxr_keyword">double</strong> solverAbsoluteAccuracy;
-<a class="jxr_linenumber" name="L78" href="#L78">78</a>  
-<a class="jxr_linenumber" name="L79" href="#L79">79</a>      <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L80" href="#L80">80</a>  <em 
class="jxr_javadoccomment">     * Create a log-normal distribution, where the 
mean and standard deviation</em>
-<a class="jxr_linenumber" name="L81" href="#L81">81</a>  <em 
class="jxr_javadoccomment">     * of the {@link NormalDistribution normally 
distributed} natural</em>
-<a class="jxr_linenumber" name="L82" href="#L82">82</a>  <em 
class="jxr_javadoccomment">     * logarithm of the log-normal distribution are 
equal to zero and one</em>
-<a class="jxr_linenumber" name="L83" href="#L83">83</a>  <em 
class="jxr_javadoccomment">     * respectively. In other words, the scale of 
the returned distribution is</em>
-<a class="jxr_linenumber" name="L84" href="#L84">84</a>  <em 
class="jxr_javadoccomment">     * {@code 0}, while its shape is {@code 1}.</em>
-<a class="jxr_linenumber" name="L85" href="#L85">85</a>  <em 
class="jxr_javadoccomment">     * &lt;p&gt;</em>
-<a class="jxr_linenumber" name="L86" href="#L86">86</a>  <em 
class="jxr_javadoccomment">     * &lt;b&gt;Note:&lt;/b&gt; this constructor 
will implicitly create an instance of</em>
-<a class="jxr_linenumber" name="L87" href="#L87">87</a>  <em 
class="jxr_javadoccomment">     * {@link Well19937c} as random generator to be 
used for sampling only (see</em>
-<a class="jxr_linenumber" name="L88" href="#L88">88</a>  <em 
class="jxr_javadoccomment">     * {@link #sample()} and {@link #sample(int)}). 
In case no sampling is</em>
-<a class="jxr_linenumber" name="L89" href="#L89">89</a>  <em 
class="jxr_javadoccomment">     * needed for the created distribution, it is 
advised to pass {@code null}</em>
-<a class="jxr_linenumber" name="L90" href="#L90">90</a>  <em 
class="jxr_javadoccomment">     * as random generator via the appropriate 
constructors to avoid the</em>
-<a class="jxr_linenumber" name="L91" href="#L91">91</a>  <em 
class="jxr_javadoccomment">     * additional initialisation overhead.</em>
-<a class="jxr_linenumber" name="L92" href="#L92">92</a>  <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L93" href="#L93">93</a>      <strong 
class="jxr_keyword">public</strong> <a 
href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html">LogNormalDistribution</a>()
 {
-<a class="jxr_linenumber" name="L94" href="#L94">94</a>          <strong 
class="jxr_keyword">this</strong>(0, 1);
-<a class="jxr_linenumber" name="L95" href="#L95">95</a>      }
-<a class="jxr_linenumber" name="L96" href="#L96">96</a>  
-<a class="jxr_linenumber" name="L97" href="#L97">97</a>      <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L98" href="#L98">98</a>  <em 
class="jxr_javadoccomment">     * Create a log-normal distribution using the 
specified scale and shape.</em>
-<a class="jxr_linenumber" name="L99" href="#L99">99</a>  <em 
class="jxr_javadoccomment">     * &lt;p&gt;</em>
-<a class="jxr_linenumber" name="L100" href="#L100">100</a> <em 
class="jxr_javadoccomment">     * &lt;b&gt;Note:&lt;/b&gt; this constructor 
will implicitly create an instance of</em>
-<a class="jxr_linenumber" name="L101" href="#L101">101</a> <em 
class="jxr_javadoccomment">     * {@link Well19937c} as random generator to be 
used for sampling only (see</em>
-<a class="jxr_linenumber" name="L102" href="#L102">102</a> <em 
class="jxr_javadoccomment">     * {@link #sample()} and {@link #sample(int)}). 
In case no sampling is</em>
-<a class="jxr_linenumber" name="L103" href="#L103">103</a> <em 
class="jxr_javadoccomment">     * needed for the created distribution, it is 
advised to pass {@code null}</em>
-<a class="jxr_linenumber" name="L104" href="#L104">104</a> <em 
class="jxr_javadoccomment">     * as random generator via the appropriate 
constructors to avoid the</em>
-<a class="jxr_linenumber" name="L105" href="#L105">105</a> <em 
class="jxr_javadoccomment">     * additional initialisation overhead.</em>
-<a class="jxr_linenumber" name="L106" href="#L106">106</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L107" href="#L107">107</a> <em 
class="jxr_javadoccomment">     * @param scale the scale parameter of this 
distribution</em>
-<a class="jxr_linenumber" name="L108" href="#L108">108</a> <em 
class="jxr_javadoccomment">     * @param shape the shape parameter of this 
distribution</em>
-<a class="jxr_linenumber" name="L109" href="#L109">109</a> <em 
class="jxr_javadoccomment">     * @throws NotStrictlyPositiveException if 
{@code shape &lt;= 0}.</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>     <strong 
class="jxr_keyword">public</strong> <a 
href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html">LogNormalDistribution</a>(<strong
 class="jxr_keyword">double</strong> scale, <strong 
class="jxr_keyword">double</strong> shape)
-<a class="jxr_linenumber" name="L112" href="#L112">112</a>         <strong 
class="jxr_keyword">throws</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html">NotStrictlyPositiveException</a>
 {
-<a class="jxr_linenumber" name="L113" href="#L113">113</a>         <strong 
class="jxr_keyword">this</strong>(scale, shape, 
DEFAULT_INVERSE_ABSOLUTE_ACCURACY);
-<a class="jxr_linenumber" name="L114" href="#L114">114</a>     }
-<a class="jxr_linenumber" name="L115" href="#L115">115</a> 
-<a class="jxr_linenumber" name="L116" href="#L116">116</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L117" href="#L117">117</a> <em 
class="jxr_javadoccomment">     * Create a log-normal distribution using the 
specified scale, shape and</em>
-<a class="jxr_linenumber" name="L118" href="#L118">118</a> <em 
class="jxr_javadoccomment">     * inverse cumulative distribution accuracy.</em>
-<a class="jxr_linenumber" name="L119" href="#L119">119</a> <em 
class="jxr_javadoccomment">     * &lt;p&gt;</em>
-<a class="jxr_linenumber" name="L120" href="#L120">120</a> <em 
class="jxr_javadoccomment">     * &lt;b&gt;Note:&lt;/b&gt; this constructor 
will implicitly create an instance of</em>
-<a class="jxr_linenumber" name="L121" href="#L121">121</a> <em 
class="jxr_javadoccomment">     * {@link Well19937c} as random generator to be 
used for sampling only (see</em>
-<a class="jxr_linenumber" name="L122" href="#L122">122</a> <em 
class="jxr_javadoccomment">     * {@link #sample()} and {@link #sample(int)}). 
In case no sampling is</em>
-<a class="jxr_linenumber" name="L123" href="#L123">123</a> <em 
class="jxr_javadoccomment">     * needed for the created distribution, it is 
advised to pass {@code null}</em>
-<a class="jxr_linenumber" name="L124" href="#L124">124</a> <em 
class="jxr_javadoccomment">     * as random generator via the appropriate 
constructors to avoid the</em>
-<a class="jxr_linenumber" name="L125" href="#L125">125</a> <em 
class="jxr_javadoccomment">     * additional initialisation overhead.</em>
-<a class="jxr_linenumber" name="L126" href="#L126">126</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L127" href="#L127">127</a> <em 
class="jxr_javadoccomment">     * @param scale the scale parameter of this 
distribution</em>
-<a class="jxr_linenumber" name="L128" href="#L128">128</a> <em 
class="jxr_javadoccomment">     * @param shape the shape parameter of this 
distribution</em>
-<a class="jxr_linenumber" name="L129" href="#L129">129</a> <em 
class="jxr_javadoccomment">     * @param inverseCumAccuracy Inverse cumulative 
probability accuracy.</em>
-<a class="jxr_linenumber" name="L130" href="#L130">130</a> <em 
class="jxr_javadoccomment">     * @throws NotStrictlyPositiveException if 
{@code shape &lt;= 0}.</em>
-<a class="jxr_linenumber" name="L131" href="#L131">131</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L132" href="#L132">132</a>     <strong 
class="jxr_keyword">public</strong> <a 
href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html">LogNormalDistribution</a>(<strong
 class="jxr_keyword">double</strong> scale, <strong 
class="jxr_keyword">double</strong> shape, <strong 
class="jxr_keyword">double</strong> inverseCumAccuracy)
-<a class="jxr_linenumber" name="L133" href="#L133">133</a>         <strong 
class="jxr_keyword">throws</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html">NotStrictlyPositiveException</a>
 {
-<a class="jxr_linenumber" name="L134" href="#L134">134</a>         <strong 
class="jxr_keyword">this</strong>(<strong class="jxr_keyword">new</strong> <a 
href="../../../../../org/apache/commons/math3/random/Well19937c.html">Well19937c</a>(),
 scale, shape, inverseCumAccuracy);
-<a class="jxr_linenumber" name="L135" href="#L135">135</a>     }
-<a class="jxr_linenumber" name="L136" href="#L136">136</a> 
-<a class="jxr_linenumber" name="L137" href="#L137">137</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L138" href="#L138">138</a> <em 
class="jxr_javadoccomment">     * Creates a log-normal distribution.</em>
-<a class="jxr_linenumber" name="L139" href="#L139">139</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L140" href="#L140">140</a> <em 
class="jxr_javadoccomment">     * @param rng Random number generator.</em>
-<a class="jxr_linenumber" name="L141" href="#L141">141</a> <em 
class="jxr_javadoccomment">     * @param scale Scale parameter of this 
distribution.</em>
-<a class="jxr_linenumber" name="L142" href="#L142">142</a> <em 
class="jxr_javadoccomment">     * @param shape Shape parameter of this 
distribution.</em>
-<a class="jxr_linenumber" name="L143" href="#L143">143</a> <em 
class="jxr_javadoccomment">     * @throws NotStrictlyPositiveException if 
{@code shape &lt;= 0}.</em>
-<a class="jxr_linenumber" name="L144" href="#L144">144</a> <em 
class="jxr_javadoccomment">     * @since 3.3</em>
-<a class="jxr_linenumber" name="L145" href="#L145">145</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L146" href="#L146">146</a>     <strong 
class="jxr_keyword">public</strong> <a 
href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html">LogNormalDistribution</a>(<a
 
href="../../../../../org/apache/commons/math3/random/RandomGenerator.html">RandomGenerator</a>
 rng, <strong class="jxr_keyword">double</strong> scale, <strong 
class="jxr_keyword">double</strong> shape)
-<a class="jxr_linenumber" name="L147" href="#L147">147</a>         <strong 
class="jxr_keyword">throws</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html">NotStrictlyPositiveException</a>
 {
-<a class="jxr_linenumber" name="L148" href="#L148">148</a>         <strong 
class="jxr_keyword">this</strong>(rng, scale, shape, 
DEFAULT_INVERSE_ABSOLUTE_ACCURACY);
-<a class="jxr_linenumber" name="L149" href="#L149">149</a>     }
-<a class="jxr_linenumber" name="L150" href="#L150">150</a> 
-<a class="jxr_linenumber" name="L151" href="#L151">151</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L152" href="#L152">152</a> <em 
class="jxr_javadoccomment">     * Creates a log-normal distribution.</em>
-<a class="jxr_linenumber" name="L153" href="#L153">153</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L154" href="#L154">154</a> <em 
class="jxr_javadoccomment">     * @param rng Random number generator.</em>
-<a class="jxr_linenumber" name="L155" href="#L155">155</a> <em 
class="jxr_javadoccomment">     * @param scale Scale parameter of this 
distribution.</em>
-<a class="jxr_linenumber" name="L156" href="#L156">156</a> <em 
class="jxr_javadoccomment">     * @param shape Shape parameter of this 
distribution.</em>
-<a class="jxr_linenumber" name="L157" href="#L157">157</a> <em 
class="jxr_javadoccomment">     * @param inverseCumAccuracy Inverse cumulative 
probability accuracy.</em>
-<a class="jxr_linenumber" name="L158" href="#L158">158</a> <em 
class="jxr_javadoccomment">     * @throws NotStrictlyPositiveException if 
{@code shape &lt;= 0}.</em>
-<a class="jxr_linenumber" name="L159" href="#L159">159</a> <em 
class="jxr_javadoccomment">     * @since 3.1</em>
-<a class="jxr_linenumber" name="L160" href="#L160">160</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L161" href="#L161">161</a>     <strong 
class="jxr_keyword">public</strong> <a 
href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html">LogNormalDistribution</a>(<a
 
href="../../../../../org/apache/commons/math3/random/RandomGenerator.html">RandomGenerator</a>
 rng,
-<a class="jxr_linenumber" name="L162" href="#L162">162</a>                     
             <strong class="jxr_keyword">double</strong> scale,
-<a class="jxr_linenumber" name="L163" href="#L163">163</a>                     
             <strong class="jxr_keyword">double</strong> shape,
-<a class="jxr_linenumber" name="L164" href="#L164">164</a>                     
             <strong class="jxr_keyword">double</strong> inverseCumAccuracy)
-<a class="jxr_linenumber" name="L165" href="#L165">165</a>         <strong 
class="jxr_keyword">throws</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html">NotStrictlyPositiveException</a>
 {
-<a class="jxr_linenumber" name="L166" href="#L166">166</a>         <strong 
class="jxr_keyword">super</strong>(rng);
-<a class="jxr_linenumber" name="L167" href="#L167">167</a> 
-<a class="jxr_linenumber" name="L168" href="#L168">168</a>         <strong 
class="jxr_keyword">if</strong> (shape &lt;= 0) {
-<a class="jxr_linenumber" name="L169" href="#L169">169</a>             <strong 
class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html">NotStrictlyPositiveException</a>(LocalizedFormats.SHAPE,
 shape);
-<a class="jxr_linenumber" name="L170" href="#L170">170</a>         }
-<a class="jxr_linenumber" name="L171" href="#L171">171</a> 
-<a class="jxr_linenumber" name="L172" href="#L172">172</a>         <strong 
class="jxr_keyword">this</strong>.scale = scale;
-<a class="jxr_linenumber" name="L173" href="#L173">173</a>         <strong 
class="jxr_keyword">this</strong>.shape = shape;
-<a class="jxr_linenumber" name="L174" href="#L174">174</a>         <strong 
class="jxr_keyword">this</strong>.logShapePlusHalfLog2Pi = FastMath.log(shape) 
+ 0.5 * FastMath.log(2 * FastMath.PI);
-<a class="jxr_linenumber" name="L175" href="#L175">175</a>         <strong 
class="jxr_keyword">this</strong>.solverAbsoluteAccuracy = inverseCumAccuracy;
-<a class="jxr_linenumber" name="L176" href="#L176">176</a>     }
-<a class="jxr_linenumber" name="L177" href="#L177">177</a> 
-<a class="jxr_linenumber" name="L178" href="#L178">178</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L179" href="#L179">179</a> <em 
class="jxr_javadoccomment">     * Returns the scale parameter of this 
distribution.</em>
-<a class="jxr_linenumber" name="L180" href="#L180">180</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L181" href="#L181">181</a> <em 
class="jxr_javadoccomment">     * @return the scale parameter</em>
-<a class="jxr_linenumber" name="L182" href="#L182">182</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L183" href="#L183">183</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
getScale() {
-<a class="jxr_linenumber" name="L184" href="#L184">184</a>         <strong 
class="jxr_keyword">return</strong> scale;
-<a class="jxr_linenumber" name="L185" href="#L185">185</a>     }
-<a class="jxr_linenumber" name="L186" href="#L186">186</a> 
-<a class="jxr_linenumber" name="L187" href="#L187">187</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L188" href="#L188">188</a> <em 
class="jxr_javadoccomment">     * Returns the shape parameter of this 
distribution.</em>
-<a class="jxr_linenumber" name="L189" href="#L189">189</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L190" href="#L190">190</a> <em 
class="jxr_javadoccomment">     * @return the shape parameter</em>
-<a class="jxr_linenumber" name="L191" href="#L191">191</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L192" href="#L192">192</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
getShape() {
-<a class="jxr_linenumber" name="L193" href="#L193">193</a>         <strong 
class="jxr_keyword">return</strong> shape;
-<a class="jxr_linenumber" name="L194" href="#L194">194</a>     }
-<a class="jxr_linenumber" name="L195" href="#L195">195</a> 
-<a class="jxr_linenumber" name="L196" href="#L196">196</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L197" href="#L197">197</a> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L198" href="#L198">198</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L199" href="#L199">199</a> <em 
class="jxr_javadoccomment">     * For scale {@code m}, and shape {@code s} of 
this distribution, the PDF</em>
-<a class="jxr_linenumber" name="L200" href="#L200">200</a> <em 
class="jxr_javadoccomment">     * is given by</em>
-<a class="jxr_linenumber" name="L201" href="#L201">201</a> <em 
class="jxr_javadoccomment">     * &lt;ul&gt;</em>
-<a class="jxr_linenumber" name="L202" href="#L202">202</a> <em 
class="jxr_javadoccomment">     * &lt;li&gt;{@code 0} if {@code x &lt;= 
0},&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L203" href="#L203">203</a> <em 
class="jxr_javadoccomment">     * &lt;li&gt;{@code exp(-0.5 * ((ln(x) - m) / 
s)^2) / (s * sqrt(2 * pi) * x)}</em>
-<a class="jxr_linenumber" name="L204" href="#L204">204</a> <em 
class="jxr_javadoccomment">     * otherwise.&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L205" href="#L205">205</a> <em 
class="jxr_javadoccomment">     * &lt;/ul&gt;</em>
-<a class="jxr_linenumber" name="L206" href="#L206">206</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L207" href="#L207">207</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
density(<strong class="jxr_keyword">double</strong> x) {
-<a class="jxr_linenumber" name="L208" href="#L208">208</a>         <strong 
class="jxr_keyword">if</strong> (x &lt;= 0) {
-<a class="jxr_linenumber" name="L209" href="#L209">209</a>             <strong 
class="jxr_keyword">return</strong> 0;
-<a class="jxr_linenumber" name="L210" href="#L210">210</a>         }
-<a class="jxr_linenumber" name="L211" href="#L211">211</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
x0 = FastMath.log(x) - scale;
-<a class="jxr_linenumber" name="L212" href="#L212">212</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
x1 = x0 / shape;
-<a class="jxr_linenumber" name="L213" href="#L213">213</a>         <strong 
class="jxr_keyword">return</strong> FastMath.exp(-0.5 * x1 * x1) / (shape * 
SQRT2PI * x);
-<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_javadoccomment">/** {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L217" href="#L217">217</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L218" href="#L218">218</a> <em 
class="jxr_javadoccomment">     * See documentation of {@link #density(double)} 
for computation details.</em>
-<a class="jxr_linenumber" name="L219" href="#L219">219</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L220" href="#L220">220</a>     @Override
-<a class="jxr_linenumber" name="L221" href="#L221">221</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
logDensity(<strong class="jxr_keyword">double</strong> x) {
-<a class="jxr_linenumber" name="L222" href="#L222">222</a>         <strong 
class="jxr_keyword">if</strong> (x &lt;= 0) {
-<a class="jxr_linenumber" name="L223" href="#L223">223</a>             <strong 
class="jxr_keyword">return</strong> Double.NEGATIVE_INFINITY;
-<a class="jxr_linenumber" name="L224" href="#L224">224</a>         }
-<a class="jxr_linenumber" name="L225" href="#L225">225</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
logX = FastMath.log(x);
-<a class="jxr_linenumber" name="L226" href="#L226">226</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
x0 = logX - scale;
-<a class="jxr_linenumber" name="L227" href="#L227">227</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
x1 = x0 / shape;
-<a class="jxr_linenumber" name="L228" href="#L228">228</a>         <strong 
class="jxr_keyword">return</strong> -0.5 * x1 * x1 - (logShapePlusHalfLog2Pi + 
logX);
-<a class="jxr_linenumber" name="L229" href="#L229">229</a>     }
-<a class="jxr_linenumber" name="L230" href="#L230">230</a> 
-<a class="jxr_linenumber" name="L231" href="#L231">231</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L232" href="#L232">232</a> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L233" href="#L233">233</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L234" href="#L234">234</a> <em 
class="jxr_javadoccomment">     * For scale {@code m}, and shape {@code s} of 
this distribution, the CDF</em>
-<a class="jxr_linenumber" name="L235" href="#L235">235</a> <em 
class="jxr_javadoccomment">     * is given by</em>
-<a class="jxr_linenumber" name="L236" href="#L236">236</a> <em 
class="jxr_javadoccomment">     * &lt;ul&gt;</em>
-<a class="jxr_linenumber" name="L237" href="#L237">237</a> <em 
class="jxr_javadoccomment">     * &lt;li&gt;{@code 0} if {@code x &lt;= 
0},&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L238" href="#L238">238</a> <em 
class="jxr_javadoccomment">     * &lt;li&gt;{@code 0} if {@code ln(x) - m &lt; 
0} and {@code m - ln(x) &gt; 40 * s}, as</em>
-<a class="jxr_linenumber" name="L239" href="#L239">239</a> <em 
class="jxr_javadoccomment">     * in these cases the actual value is within 
{@code Double.MIN_VALUE} of 0,</em>
-<a class="jxr_linenumber" name="L240" href="#L240">240</a> <em 
class="jxr_javadoccomment">     * &lt;li&gt;{@code 1} if {@code ln(x) - m &gt;= 
0} and {@code ln(x) - m &gt; 40 * s},</em>
-<a class="jxr_linenumber" name="L241" href="#L241">241</a> <em 
class="jxr_javadoccomment">     * as in these cases the actual value is within 
{@code Double.MIN_VALUE} of</em>
-<a class="jxr_linenumber" name="L242" href="#L242">242</a> <em 
class="jxr_javadoccomment">     * 1,&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L243" href="#L243">243</a> <em 
class="jxr_javadoccomment">     * &lt;li&gt;{@code 0.5 + 0.5 * erf((ln(x) - m) 
/ (s * sqrt(2))} otherwise.&lt;/li&gt;</em>
-<a class="jxr_linenumber" name="L244" href="#L244">244</a> <em 
class="jxr_javadoccomment">     * &lt;/ul&gt;</em>
-<a class="jxr_linenumber" name="L245" href="#L245">245</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L246" href="#L246">246</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
cumulativeProbability(<strong class="jxr_keyword">double</strong> x)  {
-<a class="jxr_linenumber" name="L247" href="#L247">247</a>         <strong 
class="jxr_keyword">if</strong> (x &lt;= 0) {
-<a class="jxr_linenumber" name="L248" href="#L248">248</a>             <strong 
class="jxr_keyword">return</strong> 0;
-<a class="jxr_linenumber" name="L249" href="#L249">249</a>         }
-<a class="jxr_linenumber" name="L250" href="#L250">250</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
dev = FastMath.log(x) - scale;
-<a class="jxr_linenumber" name="L251" href="#L251">251</a>         <strong 
class="jxr_keyword">if</strong> (FastMath.abs(dev) &gt; 40 * shape) {
-<a class="jxr_linenumber" name="L252" href="#L252">252</a>             <strong 
class="jxr_keyword">return</strong> dev &lt; 0 ? 0.0d : 1.0d;
-<a class="jxr_linenumber" name="L253" href="#L253">253</a>         }
-<a class="jxr_linenumber" name="L254" href="#L254">254</a>         <strong 
class="jxr_keyword">return</strong> 0.5 + 0.5 * Erf.erf(dev / (shape * SQRT2));
-<a class="jxr_linenumber" name="L255" href="#L255">255</a>     }
-<a class="jxr_linenumber" name="L256" href="#L256">256</a> 
-<a class="jxr_linenumber" name="L257" href="#L257">257</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L258" href="#L258">258</a> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L259" href="#L259">259</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L260" href="#L260">260</a> <em 
class="jxr_javadoccomment">     * @deprecated See {@link 
RealDistribution#cumulativeProbability(double,double)}</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>     
@Override@Deprecated
-<a class="jxr_linenumber" name="L263" href="#L263">263</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
cumulativeProbability(<strong class="jxr_keyword">double</strong> x0, <strong 
class="jxr_keyword">double</strong> x1)
-<a class="jxr_linenumber" name="L264" href="#L264">264</a>         <strong 
class="jxr_keyword">throws</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html">NumberIsTooLargeException</a>
 {
-<a class="jxr_linenumber" name="L265" href="#L265">265</a>         <strong 
class="jxr_keyword">return</strong> probability(x0, x1);
-<a class="jxr_linenumber" name="L266" href="#L266">266</a>     }
-<a class="jxr_linenumber" name="L267" href="#L267">267</a> 
-<a class="jxr_linenumber" name="L268" href="#L268">268</a>     <em 
class="jxr_javadoccomment">/** {@inheritDoc} */</em>
-<a class="jxr_linenumber" name="L269" href="#L269">269</a>     @Override
-<a class="jxr_linenumber" name="L270" href="#L270">270</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
probability(<strong class="jxr_keyword">double</strong> x0,
-<a class="jxr_linenumber" name="L271" href="#L271">271</a>                     
          <strong class="jxr_keyword">double</strong> x1)
-<a class="jxr_linenumber" name="L272" href="#L272">272</a>         <strong 
class="jxr_keyword">throws</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html">NumberIsTooLargeException</a>
 {
-<a class="jxr_linenumber" name="L273" href="#L273">273</a>         <strong 
class="jxr_keyword">if</strong> (x0 &gt; x1) {
-<a class="jxr_linenumber" name="L274" href="#L274">274</a>             <strong 
class="jxr_keyword">throw</strong> <strong class="jxr_keyword">new</strong> <a 
href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html">NumberIsTooLargeException</a>(LocalizedFormats.LOWER_ENDPOINT_ABOVE_UPPER_ENDPOINT,
-<a class="jxr_linenumber" name="L275" href="#L275">275</a>                     
                            x0, x1, <strong class="jxr_keyword">true</strong>);
-<a class="jxr_linenumber" name="L276" href="#L276">276</a>         }
-<a class="jxr_linenumber" name="L277" href="#L277">277</a>         <strong 
class="jxr_keyword">if</strong> (x0 &lt;= 0 || x1 &lt;= 0) {
-<a class="jxr_linenumber" name="L278" href="#L278">278</a>             <strong 
class="jxr_keyword">return</strong> <strong 
class="jxr_keyword">super</strong>.probability(x0, x1);
-<a class="jxr_linenumber" name="L279" href="#L279">279</a>         }
-<a class="jxr_linenumber" name="L280" href="#L280">280</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
denom = shape * SQRT2;
-<a class="jxr_linenumber" name="L281" href="#L281">281</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
v0 = (FastMath.log(x0) - scale) / denom;
-<a class="jxr_linenumber" name="L282" href="#L282">282</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
v1 = (FastMath.log(x1) - scale) / denom;
-<a class="jxr_linenumber" name="L283" href="#L283">283</a>         <strong 
class="jxr_keyword">return</strong> 0.5 * Erf.erf(v0, v1);
-<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>     <em 
class="jxr_javadoccomment">/** {@inheritDoc} */</em>
-<a class="jxr_linenumber" name="L287" href="#L287">287</a>     @Override
-<a class="jxr_linenumber" name="L288" href="#L288">288</a>     <strong 
class="jxr_keyword">protected</strong> <strong 
class="jxr_keyword">double</strong> getSolverAbsoluteAccuracy() {
-<a class="jxr_linenumber" name="L289" href="#L289">289</a>         <strong 
class="jxr_keyword">return</strong> solverAbsoluteAccuracy;
-<a class="jxr_linenumber" name="L290" href="#L290">290</a>     }
-<a class="jxr_linenumber" name="L291" href="#L291">291</a> 
-<a class="jxr_linenumber" name="L292" href="#L292">292</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L293" href="#L293">293</a> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L294" href="#L294">294</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L295" href="#L295">295</a> <em 
class="jxr_javadoccomment">     * For scale {@code m} and shape {@code s}, the 
mean is</em>
-<a class="jxr_linenumber" name="L296" href="#L296">296</a> <em 
class="jxr_javadoccomment">     * {@code exp(m + s^2 / 2)}.</em>
-<a class="jxr_linenumber" name="L297" href="#L297">297</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L298" href="#L298">298</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
getNumericalMean() {
-<a class="jxr_linenumber" name="L299" href="#L299">299</a>         <strong 
class="jxr_keyword">double</strong> s = shape;
-<a class="jxr_linenumber" name="L300" href="#L300">300</a>         <strong 
class="jxr_keyword">return</strong> FastMath.exp(scale + (s * s / 2));
-<a class="jxr_linenumber" name="L301" href="#L301">301</a>     }
-<a class="jxr_linenumber" name="L302" href="#L302">302</a> 
-<a class="jxr_linenumber" name="L303" href="#L303">303</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L304" href="#L304">304</a> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L305" href="#L305">305</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L306" href="#L306">306</a> <em 
class="jxr_javadoccomment">     * For scale {@code m} and shape {@code s}, the 
variance is</em>
-<a class="jxr_linenumber" name="L307" href="#L307">307</a> <em 
class="jxr_javadoccomment">     * {@code (exp(s^2) - 1) * exp(2 * m + 
s^2)}.</em>
-<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>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
getNumericalVariance() {
-<a class="jxr_linenumber" name="L310" href="#L310">310</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
s = shape;
-<a class="jxr_linenumber" name="L311" href="#L311">311</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
ss = s * s;
-<a class="jxr_linenumber" name="L312" href="#L312">312</a>         <strong 
class="jxr_keyword">return</strong> (FastMath.expm1(ss)) * FastMath.exp(2 * 
scale + ss);
-<a class="jxr_linenumber" name="L313" href="#L313">313</a>     }
-<a class="jxr_linenumber" name="L314" href="#L314">314</a> 
-<a class="jxr_linenumber" name="L315" href="#L315">315</a>     <em 
class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L316" href="#L316">316</a> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L317" href="#L317">317</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L318" href="#L318">318</a> <em 
class="jxr_javadoccomment">     * The lower bound of the support is always 0 no 
matter the parameters.</em>
-<a class="jxr_linenumber" name="L319" href="#L319">319</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L320" href="#L320">320</a> <em 
class="jxr_javadoccomment">     * @return lower bound of the support (always 
0)</em>
-<a class="jxr_linenumber" name="L321" href="#L321">321</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L322" href="#L322">322</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
getSupportLowerBound() {
-<a class="jxr_linenumber" name="L323" href="#L323">323</a>         <strong 
class="jxr_keyword">return</strong> 0;
-<a class="jxr_linenumber" name="L324" href="#L324">324</a>     }
-<a class="jxr_linenumber" name="L325" href="#L325">325</a> 
-<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> <em 
class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L328" href="#L328">328</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L329" href="#L329">329</a> <em 
class="jxr_javadoccomment">     * The upper bound of the support is always 
positive infinity</em>
-<a class="jxr_linenumber" name="L330" href="#L330">330</a> <em 
class="jxr_javadoccomment">     * no matter the parameters.</em>
-<a class="jxr_linenumber" name="L331" href="#L331">331</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L332" href="#L332">332</a> <em 
class="jxr_javadoccomment">     * @return upper bound of the support 
(always</em>
-<a class="jxr_linenumber" name="L333" href="#L333">333</a> <em 
class="jxr_javadoccomment">     * {@code Double.POSITIVE_INFINITY})</em>
-<a class="jxr_linenumber" name="L334" href="#L334">334</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L335" href="#L335">335</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
getSupportUpperBound() {
-<a class="jxr_linenumber" name="L336" href="#L336">336</a>         <strong 
class="jxr_keyword">return</strong> Double.POSITIVE_INFINITY;
-<a class="jxr_linenumber" name="L337" href="#L337">337</a>     }
-<a class="jxr_linenumber" name="L338" href="#L338">338</a> 
-<a class="jxr_linenumber" name="L339" href="#L339">339</a>     <em 
class="jxr_javadoccomment">/** {@inheritDoc} */</em>
-<a class="jxr_linenumber" name="L340" href="#L340">340</a>     <strong 
class="jxr_keyword">public</strong> <strong 
class="jxr_keyword">boolean</strong> isSupportLowerBoundInclusive() {
-<a class="jxr_linenumber" name="L341" href="#L341">341</a>         <strong 
class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
-<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">/** {@inheritDoc} */</em>
-<a class="jxr_linenumber" name="L345" href="#L345">345</a>     <strong 
class="jxr_keyword">public</strong> <strong 
class="jxr_keyword">boolean</strong> isSupportUpperBoundInclusive() {
-<a class="jxr_linenumber" name="L346" href="#L346">346</a>         <strong 
class="jxr_keyword">return</strong> false;
-<a class="jxr_linenumber" name="L347" href="#L347">347</a>     }
-<a class="jxr_linenumber" name="L348" href="#L348">348</a> 
-<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">     * {@inheritDoc}</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> <em 
class="jxr_javadoccomment">     * The support of this distribution is 
connected.</em>
-<a class="jxr_linenumber" name="L353" href="#L353">353</a> <em 
class="jxr_javadoccomment">     *</em>
-<a class="jxr_linenumber" name="L354" href="#L354">354</a> <em 
class="jxr_javadoccomment">     * @return {@code true}</em>
-<a class="jxr_linenumber" name="L355" href="#L355">355</a> <em 
class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L356" href="#L356">356</a>     <strong 
class="jxr_keyword">public</strong> <strong 
class="jxr_keyword">boolean</strong> isSupportConnected() {
-<a class="jxr_linenumber" name="L357" href="#L357">357</a>         <strong 
class="jxr_keyword">return</strong> <strong class="jxr_keyword">true</strong>;
-<a class="jxr_linenumber" name="L358" href="#L358">358</a>     }
-<a class="jxr_linenumber" name="L359" href="#L359">359</a> 
-<a class="jxr_linenumber" name="L360" href="#L360">360</a>     <em 
class="jxr_javadoccomment">/** {@inheritDoc} */</em>
-<a class="jxr_linenumber" name="L361" href="#L361">361</a>     @Override
-<a class="jxr_linenumber" name="L362" href="#L362">362</a>     <strong 
class="jxr_keyword">public</strong> <strong class="jxr_keyword">double</strong> 
sample()  {
-<a class="jxr_linenumber" name="L363" href="#L363">363</a>         <strong 
class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong> 
n = random.nextGaussian();
-<a class="jxr_linenumber" name="L364" href="#L364">364</a>         <strong 
class="jxr_keyword">return</strong> FastMath.exp(scale + shape * n);
-<a class="jxr_linenumber" name="L365" href="#L365">365</a>     }
-<a class="jxr_linenumber" name="L366" href="#L366">366</a> }
-</pre>
-<hr/>
-<div id="footer">Copyright &#169; 2003&#x2013;2016 <a 
href="http://www.apache.org/";>The Apache Software Foundation</a>. All rights 
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-</body>
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-<div class="block">Base class for standard testing of Gaussian quadrature 
rules,
- which are exact for polynomials up to a certain degree.</div>
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