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From l..@apache.org
Subject svn commit: r857558 [32/39] - in /websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3: ./ analysis/ analysis/differentiation/ analysis/interpolation/ complex/ dfp/ distribution/ distribution/fitting/ ex...
Date Sat, 06 Apr 2013 23:42:02 GMT
Added: websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/random/RandomDataGeneratorTest.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/random/RandomDataGeneratorTest.html (added)
+++ websites/production/commons/content/proper/commons-math/testapidocs/src-html/org/apache/commons/math3/random/RandomDataGeneratorTest.html Sat Apr  6 23:42:01 2013
@@ -0,0 +1,1319 @@
+<HTML>
+<BODY BGCOLOR="white">
+<PRE>
+<FONT color="green">001</FONT>    /*<a name="line.1"></a>
+<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
+<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
+<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
+<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
+<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
+<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
+<FONT color="green">008</FONT>     *<a name="line.8"></a>
+<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
+<FONT color="green">010</FONT>     *<a name="line.10"></a>
+<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
+<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
+<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
+<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
+<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
+<FONT color="green">016</FONT>     */<a name="line.16"></a>
+<FONT color="green">017</FONT>    package org.apache.commons.math3.random;<a name="line.17"></a>
+<FONT color="green">018</FONT>    <a name="line.18"></a>
+<FONT color="green">019</FONT>    import java.text.DecimalFormat;<a name="line.19"></a>
+<FONT color="green">020</FONT>    import java.util.ArrayList;<a name="line.20"></a>
+<FONT color="green">021</FONT>    import java.util.HashSet;<a name="line.21"></a>
+<FONT color="green">022</FONT>    import java.util.List;<a name="line.22"></a>
+<FONT color="green">023</FONT>    <a name="line.23"></a>
+<FONT color="green">024</FONT>    import org.apache.commons.math3.Retry;<a name="line.24"></a>
+<FONT color="green">025</FONT>    import org.apache.commons.math3.RetryRunner;<a name="line.25"></a>
+<FONT color="green">026</FONT>    import org.apache.commons.math3.TestUtils;<a name="line.26"></a>
+<FONT color="green">027</FONT>    import org.apache.commons.math3.distribution.BetaDistribution;<a name="line.27"></a>
+<FONT color="green">028</FONT>    import org.apache.commons.math3.distribution.BinomialDistribution;<a name="line.28"></a>
+<FONT color="green">029</FONT>    import org.apache.commons.math3.distribution.BinomialDistributionTest;<a name="line.29"></a>
+<FONT color="green">030</FONT>    import org.apache.commons.math3.distribution.CauchyDistribution;<a name="line.30"></a>
+<FONT color="green">031</FONT>    import org.apache.commons.math3.distribution.ChiSquaredDistribution;<a name="line.31"></a>
+<FONT color="green">032</FONT>    import org.apache.commons.math3.distribution.ExponentialDistribution;<a name="line.32"></a>
+<FONT color="green">033</FONT>    import org.apache.commons.math3.distribution.FDistribution;<a name="line.33"></a>
+<FONT color="green">034</FONT>    import org.apache.commons.math3.distribution.GammaDistribution;<a name="line.34"></a>
+<FONT color="green">035</FONT>    import org.apache.commons.math3.distribution.HypergeometricDistribution;<a name="line.35"></a>
+<FONT color="green">036</FONT>    import org.apache.commons.math3.distribution.HypergeometricDistributionTest;<a name="line.36"></a>
+<FONT color="green">037</FONT>    import org.apache.commons.math3.distribution.NormalDistribution;<a name="line.37"></a>
+<FONT color="green">038</FONT>    import org.apache.commons.math3.distribution.PascalDistribution;<a name="line.38"></a>
+<FONT color="green">039</FONT>    import org.apache.commons.math3.distribution.PascalDistributionTest;<a name="line.39"></a>
+<FONT color="green">040</FONT>    import org.apache.commons.math3.distribution.PoissonDistribution;<a name="line.40"></a>
+<FONT color="green">041</FONT>    import org.apache.commons.math3.distribution.TDistribution;<a name="line.41"></a>
+<FONT color="green">042</FONT>    import org.apache.commons.math3.distribution.WeibullDistribution;<a name="line.42"></a>
+<FONT color="green">043</FONT>    import org.apache.commons.math3.distribution.ZipfDistribution;<a name="line.43"></a>
+<FONT color="green">044</FONT>    import org.apache.commons.math3.distribution.ZipfDistributionTest;<a name="line.44"></a>
+<FONT color="green">045</FONT>    import org.apache.commons.math3.stat.Frequency;<a name="line.45"></a>
+<FONT color="green">046</FONT>    import org.apache.commons.math3.stat.descriptive.SummaryStatistics;<a name="line.46"></a>
+<FONT color="green">047</FONT>    import org.apache.commons.math3.stat.inference.ChiSquareTest;<a name="line.47"></a>
+<FONT color="green">048</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.48"></a>
+<FONT color="green">049</FONT>    import org.apache.commons.math3.exception.MathIllegalArgumentException;<a name="line.49"></a>
+<FONT color="green">050</FONT>    import org.junit.Assert;<a name="line.50"></a>
+<FONT color="green">051</FONT>    import org.junit.Test;<a name="line.51"></a>
+<FONT color="green">052</FONT>    import org.junit.runner.RunWith;<a name="line.52"></a>
+<FONT color="green">053</FONT>    <a name="line.53"></a>
+<FONT color="green">054</FONT>    /**<a name="line.54"></a>
+<FONT color="green">055</FONT>     * Test cases for the RandomDataGenerator class.<a name="line.55"></a>
+<FONT color="green">056</FONT>     *<a name="line.56"></a>
+<FONT color="green">057</FONT>     * @version $Id$<a name="line.57"></a>
+<FONT color="green">058</FONT>     */<a name="line.58"></a>
+<FONT color="green">059</FONT>    @RunWith(RetryRunner.class)<a name="line.59"></a>
+<FONT color="green">060</FONT>    public class RandomDataGeneratorTest {<a name="line.60"></a>
+<FONT color="green">061</FONT>    <a name="line.61"></a>
+<FONT color="green">062</FONT>        public RandomDataGeneratorTest() {<a name="line.62"></a>
+<FONT color="green">063</FONT>            randomData = new RandomDataGenerator();<a name="line.63"></a>
+<FONT color="green">064</FONT>            randomData.reSeed(1000);<a name="line.64"></a>
+<FONT color="green">065</FONT>        }<a name="line.65"></a>
+<FONT color="green">066</FONT>    <a name="line.66"></a>
+<FONT color="green">067</FONT>        protected final long smallSampleSize = 1000;<a name="line.67"></a>
+<FONT color="green">068</FONT>        protected final double[] expected = { 250, 250, 250, 250 };<a name="line.68"></a>
+<FONT color="green">069</FONT>        protected final int largeSampleSize = 10000;<a name="line.69"></a>
+<FONT color="green">070</FONT>        private final String[] hex = { "0", "1", "2", "3", "4", "5", "6", "7", "8", "9",<a name="line.70"></a>
+<FONT color="green">071</FONT>                "a", "b", "c", "d", "e", "f" };<a name="line.71"></a>
+<FONT color="green">072</FONT>        protected RandomDataGenerator randomData = null;<a name="line.72"></a>
+<FONT color="green">073</FONT>        protected final ChiSquareTest testStatistic = new ChiSquareTest();<a name="line.73"></a>
+<FONT color="green">074</FONT>    <a name="line.74"></a>
+<FONT color="green">075</FONT>        @Test<a name="line.75"></a>
+<FONT color="green">076</FONT>        public void testNextIntExtremeValues() {<a name="line.76"></a>
+<FONT color="green">077</FONT>            int x = randomData.nextInt(Integer.MIN_VALUE, Integer.MAX_VALUE);<a name="line.77"></a>
+<FONT color="green">078</FONT>            int y = randomData.nextInt(Integer.MIN_VALUE, Integer.MAX_VALUE);<a name="line.78"></a>
+<FONT color="green">079</FONT>            Assert.assertFalse(x == y);<a name="line.79"></a>
+<FONT color="green">080</FONT>        }<a name="line.80"></a>
+<FONT color="green">081</FONT>    <a name="line.81"></a>
+<FONT color="green">082</FONT>        @Test<a name="line.82"></a>
+<FONT color="green">083</FONT>        public void testNextLongExtremeValues() {<a name="line.83"></a>
+<FONT color="green">084</FONT>            long x = randomData.nextLong(Long.MIN_VALUE, Long.MAX_VALUE);<a name="line.84"></a>
+<FONT color="green">085</FONT>            long y = randomData.nextLong(Long.MIN_VALUE, Long.MAX_VALUE);<a name="line.85"></a>
+<FONT color="green">086</FONT>            Assert.assertFalse(x == y);<a name="line.86"></a>
+<FONT color="green">087</FONT>        }<a name="line.87"></a>
+<FONT color="green">088</FONT>        <a name="line.88"></a>
+<FONT color="green">089</FONT>        @Test<a name="line.89"></a>
+<FONT color="green">090</FONT>        public void testNextUniformExtremeValues() {<a name="line.90"></a>
+<FONT color="green">091</FONT>            double x = randomData.nextUniform(-Double.MAX_VALUE, Double.MAX_VALUE);<a name="line.91"></a>
+<FONT color="green">092</FONT>            double y = randomData.nextUniform(-Double.MAX_VALUE, Double.MAX_VALUE);<a name="line.92"></a>
+<FONT color="green">093</FONT>            Assert.assertFalse(x == y);<a name="line.93"></a>
+<FONT color="green">094</FONT>            Assert.assertFalse(Double.isNaN(x));<a name="line.94"></a>
+<FONT color="green">095</FONT>            Assert.assertFalse(Double.isNaN(y));<a name="line.95"></a>
+<FONT color="green">096</FONT>            Assert.assertFalse(Double.isInfinite(x));<a name="line.96"></a>
+<FONT color="green">097</FONT>            Assert.assertFalse(Double.isInfinite(y));<a name="line.97"></a>
+<FONT color="green">098</FONT>        }<a name="line.98"></a>
+<FONT color="green">099</FONT>        <a name="line.99"></a>
+<FONT color="green">100</FONT>        @Test<a name="line.100"></a>
+<FONT color="green">101</FONT>        public void testNextIntIAE() {<a name="line.101"></a>
+<FONT color="green">102</FONT>            try {<a name="line.102"></a>
+<FONT color="green">103</FONT>                randomData.nextInt(4, 3);<a name="line.103"></a>
+<FONT color="green">104</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.104"></a>
+<FONT color="green">105</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.105"></a>
+<FONT color="green">106</FONT>                // ignored<a name="line.106"></a>
+<FONT color="green">107</FONT>            }<a name="line.107"></a>
+<FONT color="green">108</FONT>        }<a name="line.108"></a>
+<FONT color="green">109</FONT>        <a name="line.109"></a>
+<FONT color="green">110</FONT>        @Test<a name="line.110"></a>
+<FONT color="green">111</FONT>        public void testNextIntNegativeToPositiveRange() {<a name="line.111"></a>
+<FONT color="green">112</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.112"></a>
+<FONT color="green">113</FONT>                checkNextIntUniform(-3, 5);<a name="line.113"></a>
+<FONT color="green">114</FONT>                checkNextIntUniform(-3, 6);<a name="line.114"></a>
+<FONT color="green">115</FONT>            }<a name="line.115"></a>
+<FONT color="green">116</FONT>        }<a name="line.116"></a>
+<FONT color="green">117</FONT>    <a name="line.117"></a>
+<FONT color="green">118</FONT>        @Test <a name="line.118"></a>
+<FONT color="green">119</FONT>        public void testNextIntNegativeRange() {<a name="line.119"></a>
+<FONT color="green">120</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.120"></a>
+<FONT color="green">121</FONT>                checkNextIntUniform(-7, -4);<a name="line.121"></a>
+<FONT color="green">122</FONT>                checkNextIntUniform(-15, -2);<a name="line.122"></a>
+<FONT color="green">123</FONT>                checkNextIntUniform(Integer.MIN_VALUE + 1, Integer.MIN_VALUE + 12);<a name="line.123"></a>
+<FONT color="green">124</FONT>            }<a name="line.124"></a>
+<FONT color="green">125</FONT>        }<a name="line.125"></a>
+<FONT color="green">126</FONT>    <a name="line.126"></a>
+<FONT color="green">127</FONT>        @Test <a name="line.127"></a>
+<FONT color="green">128</FONT>        public void testNextIntPositiveRange() {<a name="line.128"></a>
+<FONT color="green">129</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.129"></a>
+<FONT color="green">130</FONT>                checkNextIntUniform(0, 3);<a name="line.130"></a>
+<FONT color="green">131</FONT>                checkNextIntUniform(2, 12);<a name="line.131"></a>
+<FONT color="green">132</FONT>                checkNextIntUniform(1,2);<a name="line.132"></a>
+<FONT color="green">133</FONT>                checkNextIntUniform(Integer.MAX_VALUE - 12, Integer.MAX_VALUE - 1);<a name="line.133"></a>
+<FONT color="green">134</FONT>            }<a name="line.134"></a>
+<FONT color="green">135</FONT>        }<a name="line.135"></a>
+<FONT color="green">136</FONT>    <a name="line.136"></a>
+<FONT color="green">137</FONT>        private void checkNextIntUniform(int min, int max) {<a name="line.137"></a>
+<FONT color="green">138</FONT>            final Frequency freq = new Frequency();<a name="line.138"></a>
+<FONT color="green">139</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.139"></a>
+<FONT color="green">140</FONT>                final int value = randomData.nextInt(min, max);<a name="line.140"></a>
+<FONT color="green">141</FONT>                Assert.assertTrue("nextInt range", (value &gt;= min) &amp;&amp; (value &lt;= max));<a name="line.141"></a>
+<FONT color="green">142</FONT>                freq.addValue(value);<a name="line.142"></a>
+<FONT color="green">143</FONT>            }<a name="line.143"></a>
+<FONT color="green">144</FONT>            final int len = max - min + 1;<a name="line.144"></a>
+<FONT color="green">145</FONT>            final long[] observed = new long[len];<a name="line.145"></a>
+<FONT color="green">146</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.146"></a>
+<FONT color="green">147</FONT>                observed[i] = freq.getCount(min + i);<a name="line.147"></a>
+<FONT color="green">148</FONT>            }<a name="line.148"></a>
+<FONT color="green">149</FONT>            final double[] expected = new double[len];<a name="line.149"></a>
+<FONT color="green">150</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.150"></a>
+<FONT color="green">151</FONT>                expected[i] = 1d / len;<a name="line.151"></a>
+<FONT color="green">152</FONT>            }<a name="line.152"></a>
+<FONT color="green">153</FONT>            <a name="line.153"></a>
+<FONT color="green">154</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.001);<a name="line.154"></a>
+<FONT color="green">155</FONT>        }<a name="line.155"></a>
+<FONT color="green">156</FONT>    <a name="line.156"></a>
+<FONT color="green">157</FONT>        @Test<a name="line.157"></a>
+<FONT color="green">158</FONT>        public void testNextIntWideRange() {<a name="line.158"></a>
+<FONT color="green">159</FONT>            int lower = -0x6543210F;<a name="line.159"></a>
+<FONT color="green">160</FONT>            int upper =  0x456789AB;<a name="line.160"></a>
+<FONT color="green">161</FONT>            int max   = Integer.MIN_VALUE;<a name="line.161"></a>
+<FONT color="green">162</FONT>            int min   = Integer.MAX_VALUE;<a name="line.162"></a>
+<FONT color="green">163</FONT>            for (int i = 0; i &lt; 1000000; ++i) {<a name="line.163"></a>
+<FONT color="green">164</FONT>                int r = randomData.nextInt(lower, upper);<a name="line.164"></a>
+<FONT color="green">165</FONT>                max = FastMath.max(max, r);<a name="line.165"></a>
+<FONT color="green">166</FONT>                min = FastMath.min(min, r);<a name="line.166"></a>
+<FONT color="green">167</FONT>                Assert.assertTrue(r &gt;= lower);<a name="line.167"></a>
+<FONT color="green">168</FONT>                Assert.assertTrue(r &lt;= upper);<a name="line.168"></a>
+<FONT color="green">169</FONT>            }<a name="line.169"></a>
+<FONT color="green">170</FONT>            double ratio = (((double) max)   - ((double) min)) /<a name="line.170"></a>
+<FONT color="green">171</FONT>                           (((double) upper) - ((double) lower));<a name="line.171"></a>
+<FONT color="green">172</FONT>            Assert.assertTrue(ratio &gt; 0.99999);<a name="line.172"></a>
+<FONT color="green">173</FONT>        }<a name="line.173"></a>
+<FONT color="green">174</FONT>        <a name="line.174"></a>
+<FONT color="green">175</FONT>        @Test<a name="line.175"></a>
+<FONT color="green">176</FONT>        public void testNextLongIAE() {<a name="line.176"></a>
+<FONT color="green">177</FONT>            try {<a name="line.177"></a>
+<FONT color="green">178</FONT>                randomData.nextLong(4, 3);<a name="line.178"></a>
+<FONT color="green">179</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.179"></a>
+<FONT color="green">180</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.180"></a>
+<FONT color="green">181</FONT>                // ignored<a name="line.181"></a>
+<FONT color="green">182</FONT>            }<a name="line.182"></a>
+<FONT color="green">183</FONT>        }<a name="line.183"></a>
+<FONT color="green">184</FONT>    <a name="line.184"></a>
+<FONT color="green">185</FONT>        @Test<a name="line.185"></a>
+<FONT color="green">186</FONT>        public void testNextLongNegativeToPositiveRange() {<a name="line.186"></a>
+<FONT color="green">187</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.187"></a>
+<FONT color="green">188</FONT>                checkNextLongUniform(-3, 5);<a name="line.188"></a>
+<FONT color="green">189</FONT>                checkNextLongUniform(-3, 6);<a name="line.189"></a>
+<FONT color="green">190</FONT>            }<a name="line.190"></a>
+<FONT color="green">191</FONT>        }<a name="line.191"></a>
+<FONT color="green">192</FONT>    <a name="line.192"></a>
+<FONT color="green">193</FONT>        @Test <a name="line.193"></a>
+<FONT color="green">194</FONT>        public void testNextLongNegativeRange() {<a name="line.194"></a>
+<FONT color="green">195</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.195"></a>
+<FONT color="green">196</FONT>                checkNextLongUniform(-7, -4);<a name="line.196"></a>
+<FONT color="green">197</FONT>                checkNextLongUniform(-15, -2);<a name="line.197"></a>
+<FONT color="green">198</FONT>                checkNextLongUniform(Long.MIN_VALUE + 1, Long.MIN_VALUE + 12);<a name="line.198"></a>
+<FONT color="green">199</FONT>            }<a name="line.199"></a>
+<FONT color="green">200</FONT>        }<a name="line.200"></a>
+<FONT color="green">201</FONT>    <a name="line.201"></a>
+<FONT color="green">202</FONT>        @Test <a name="line.202"></a>
+<FONT color="green">203</FONT>        public void testNextLongPositiveRange() {<a name="line.203"></a>
+<FONT color="green">204</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.204"></a>
+<FONT color="green">205</FONT>                checkNextLongUniform(0, 3);<a name="line.205"></a>
+<FONT color="green">206</FONT>                checkNextLongUniform(2, 12);<a name="line.206"></a>
+<FONT color="green">207</FONT>                checkNextLongUniform(Long.MAX_VALUE - 12, Long.MAX_VALUE - 1);<a name="line.207"></a>
+<FONT color="green">208</FONT>            }<a name="line.208"></a>
+<FONT color="green">209</FONT>        }<a name="line.209"></a>
+<FONT color="green">210</FONT>    <a name="line.210"></a>
+<FONT color="green">211</FONT>        private void checkNextLongUniform(long min, long max) {<a name="line.211"></a>
+<FONT color="green">212</FONT>            final Frequency freq = new Frequency();<a name="line.212"></a>
+<FONT color="green">213</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.213"></a>
+<FONT color="green">214</FONT>                final long value = randomData.nextLong(min, max);<a name="line.214"></a>
+<FONT color="green">215</FONT>                Assert.assertTrue("nextLong range: " + value + " " + min + " " + max,<a name="line.215"></a>
+<FONT color="green">216</FONT>                                  (value &gt;= min) &amp;&amp; (value &lt;= max));<a name="line.216"></a>
+<FONT color="green">217</FONT>                freq.addValue(value);<a name="line.217"></a>
+<FONT color="green">218</FONT>            }<a name="line.218"></a>
+<FONT color="green">219</FONT>            final int len = ((int) (max - min)) + 1;<a name="line.219"></a>
+<FONT color="green">220</FONT>            final long[] observed = new long[len];<a name="line.220"></a>
+<FONT color="green">221</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.221"></a>
+<FONT color="green">222</FONT>                observed[i] = freq.getCount(min + i);<a name="line.222"></a>
+<FONT color="green">223</FONT>            }<a name="line.223"></a>
+<FONT color="green">224</FONT>            final double[] expected = new double[len];<a name="line.224"></a>
+<FONT color="green">225</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.225"></a>
+<FONT color="green">226</FONT>                expected[i] = 1d / len;<a name="line.226"></a>
+<FONT color="green">227</FONT>            }<a name="line.227"></a>
+<FONT color="green">228</FONT>            <a name="line.228"></a>
+<FONT color="green">229</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.01);<a name="line.229"></a>
+<FONT color="green">230</FONT>        }<a name="line.230"></a>
+<FONT color="green">231</FONT>    <a name="line.231"></a>
+<FONT color="green">232</FONT>        @Test<a name="line.232"></a>
+<FONT color="green">233</FONT>        public void testNextLongWideRange() {<a name="line.233"></a>
+<FONT color="green">234</FONT>            long lower = -0x6543210FEDCBA987L;<a name="line.234"></a>
+<FONT color="green">235</FONT>            long upper =  0x456789ABCDEF0123L;<a name="line.235"></a>
+<FONT color="green">236</FONT>            long max = Long.MIN_VALUE;<a name="line.236"></a>
+<FONT color="green">237</FONT>            long min = Long.MAX_VALUE;<a name="line.237"></a>
+<FONT color="green">238</FONT>            for (int i = 0; i &lt; 10000000; ++i) {<a name="line.238"></a>
+<FONT color="green">239</FONT>                long r = randomData.nextLong(lower, upper);<a name="line.239"></a>
+<FONT color="green">240</FONT>                max = FastMath.max(max, r);<a name="line.240"></a>
+<FONT color="green">241</FONT>                min = FastMath.min(min, r);<a name="line.241"></a>
+<FONT color="green">242</FONT>                Assert.assertTrue(r &gt;= lower);<a name="line.242"></a>
+<FONT color="green">243</FONT>                Assert.assertTrue(r &lt;= upper);<a name="line.243"></a>
+<FONT color="green">244</FONT>            }<a name="line.244"></a>
+<FONT color="green">245</FONT>            double ratio = (((double) max)   - ((double) min)) /<a name="line.245"></a>
+<FONT color="green">246</FONT>                           (((double) upper) - ((double) lower));<a name="line.246"></a>
+<FONT color="green">247</FONT>            Assert.assertTrue(ratio &gt; 0.99999);<a name="line.247"></a>
+<FONT color="green">248</FONT>        }<a name="line.248"></a>
+<FONT color="green">249</FONT>        <a name="line.249"></a>
+<FONT color="green">250</FONT>        @Test<a name="line.250"></a>
+<FONT color="green">251</FONT>        public void testNextSecureLongIAE() {<a name="line.251"></a>
+<FONT color="green">252</FONT>            try {<a name="line.252"></a>
+<FONT color="green">253</FONT>                randomData.nextSecureLong(4, 3);<a name="line.253"></a>
+<FONT color="green">254</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.254"></a>
+<FONT color="green">255</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.255"></a>
+<FONT color="green">256</FONT>                // ignored<a name="line.256"></a>
+<FONT color="green">257</FONT>            }<a name="line.257"></a>
+<FONT color="green">258</FONT>        }<a name="line.258"></a>
+<FONT color="green">259</FONT>        <a name="line.259"></a>
+<FONT color="green">260</FONT>        @Test<a name="line.260"></a>
+<FONT color="green">261</FONT>        @Retry(3)<a name="line.261"></a>
+<FONT color="green">262</FONT>        public void testNextSecureLongNegativeToPositiveRange() {<a name="line.262"></a>
+<FONT color="green">263</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.263"></a>
+<FONT color="green">264</FONT>                checkNextSecureLongUniform(-3, 5);<a name="line.264"></a>
+<FONT color="green">265</FONT>                checkNextSecureLongUniform(-3, 6);<a name="line.265"></a>
+<FONT color="green">266</FONT>            }<a name="line.266"></a>
+<FONT color="green">267</FONT>        }<a name="line.267"></a>
+<FONT color="green">268</FONT>        <a name="line.268"></a>
+<FONT color="green">269</FONT>        @Test<a name="line.269"></a>
+<FONT color="green">270</FONT>        @Retry(3)<a name="line.270"></a>
+<FONT color="green">271</FONT>        public void testNextSecureLongNegativeRange() {<a name="line.271"></a>
+<FONT color="green">272</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.272"></a>
+<FONT color="green">273</FONT>                checkNextSecureLongUniform(-7, -4);<a name="line.273"></a>
+<FONT color="green">274</FONT>                checkNextSecureLongUniform(-15, -2);<a name="line.274"></a>
+<FONT color="green">275</FONT>            }<a name="line.275"></a>
+<FONT color="green">276</FONT>        }<a name="line.276"></a>
+<FONT color="green">277</FONT>        <a name="line.277"></a>
+<FONT color="green">278</FONT>        @Test<a name="line.278"></a>
+<FONT color="green">279</FONT>        @Retry(3)<a name="line.279"></a>
+<FONT color="green">280</FONT>        public void testNextSecureLongPositiveRange() {<a name="line.280"></a>
+<FONT color="green">281</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.281"></a>
+<FONT color="green">282</FONT>                checkNextSecureLongUniform(0, 3);<a name="line.282"></a>
+<FONT color="green">283</FONT>                checkNextSecureLongUniform(2, 12);<a name="line.283"></a>
+<FONT color="green">284</FONT>            }<a name="line.284"></a>
+<FONT color="green">285</FONT>        }<a name="line.285"></a>
+<FONT color="green">286</FONT>        <a name="line.286"></a>
+<FONT color="green">287</FONT>        private void checkNextSecureLongUniform(int min, int max) {<a name="line.287"></a>
+<FONT color="green">288</FONT>            final Frequency freq = new Frequency();<a name="line.288"></a>
+<FONT color="green">289</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.289"></a>
+<FONT color="green">290</FONT>                final long value = randomData.nextSecureLong(min, max);<a name="line.290"></a>
+<FONT color="green">291</FONT>                Assert.assertTrue("nextLong range", (value &gt;= min) &amp;&amp; (value &lt;= max));<a name="line.291"></a>
+<FONT color="green">292</FONT>                freq.addValue(value);<a name="line.292"></a>
+<FONT color="green">293</FONT>            }<a name="line.293"></a>
+<FONT color="green">294</FONT>            final int len = max - min + 1;<a name="line.294"></a>
+<FONT color="green">295</FONT>            final long[] observed = new long[len];<a name="line.295"></a>
+<FONT color="green">296</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.296"></a>
+<FONT color="green">297</FONT>                observed[i] = freq.getCount(min + i);<a name="line.297"></a>
+<FONT color="green">298</FONT>            }<a name="line.298"></a>
+<FONT color="green">299</FONT>            final double[] expected = new double[len];<a name="line.299"></a>
+<FONT color="green">300</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.300"></a>
+<FONT color="green">301</FONT>                expected[i] = 1d / len;<a name="line.301"></a>
+<FONT color="green">302</FONT>            }<a name="line.302"></a>
+<FONT color="green">303</FONT>            <a name="line.303"></a>
+<FONT color="green">304</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.0001);<a name="line.304"></a>
+<FONT color="green">305</FONT>        }<a name="line.305"></a>
+<FONT color="green">306</FONT>    <a name="line.306"></a>
+<FONT color="green">307</FONT>        @Test<a name="line.307"></a>
+<FONT color="green">308</FONT>        public void testNextSecureIntIAE() {<a name="line.308"></a>
+<FONT color="green">309</FONT>            try {<a name="line.309"></a>
+<FONT color="green">310</FONT>                randomData.nextSecureInt(4, 3);<a name="line.310"></a>
+<FONT color="green">311</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.311"></a>
+<FONT color="green">312</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.312"></a>
+<FONT color="green">313</FONT>                // ignored<a name="line.313"></a>
+<FONT color="green">314</FONT>            }<a name="line.314"></a>
+<FONT color="green">315</FONT>        }<a name="line.315"></a>
+<FONT color="green">316</FONT>        <a name="line.316"></a>
+<FONT color="green">317</FONT>        @Test<a name="line.317"></a>
+<FONT color="green">318</FONT>        @Retry(3)<a name="line.318"></a>
+<FONT color="green">319</FONT>        public void testNextSecureIntNegativeToPositiveRange() {<a name="line.319"></a>
+<FONT color="green">320</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.320"></a>
+<FONT color="green">321</FONT>                checkNextSecureIntUniform(-3, 5);<a name="line.321"></a>
+<FONT color="green">322</FONT>                checkNextSecureIntUniform(-3, 6);<a name="line.322"></a>
+<FONT color="green">323</FONT>            }<a name="line.323"></a>
+<FONT color="green">324</FONT>        }<a name="line.324"></a>
+<FONT color="green">325</FONT>        <a name="line.325"></a>
+<FONT color="green">326</FONT>        @Test<a name="line.326"></a>
+<FONT color="green">327</FONT>        @Retry(3)<a name="line.327"></a>
+<FONT color="green">328</FONT>        public void testNextSecureIntNegativeRange() {<a name="line.328"></a>
+<FONT color="green">329</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.329"></a>
+<FONT color="green">330</FONT>                checkNextSecureIntUniform(-7, -4);<a name="line.330"></a>
+<FONT color="green">331</FONT>                checkNextSecureIntUniform(-15, -2);<a name="line.331"></a>
+<FONT color="green">332</FONT>            }<a name="line.332"></a>
+<FONT color="green">333</FONT>        }<a name="line.333"></a>
+<FONT color="green">334</FONT>        <a name="line.334"></a>
+<FONT color="green">335</FONT>        @Test <a name="line.335"></a>
+<FONT color="green">336</FONT>        @Retry(3)<a name="line.336"></a>
+<FONT color="green">337</FONT>        public void testNextSecureIntPositiveRange() {<a name="line.337"></a>
+<FONT color="green">338</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.338"></a>
+<FONT color="green">339</FONT>                checkNextSecureIntUniform(0, 3);<a name="line.339"></a>
+<FONT color="green">340</FONT>                checkNextSecureIntUniform(2, 12);<a name="line.340"></a>
+<FONT color="green">341</FONT>            }<a name="line.341"></a>
+<FONT color="green">342</FONT>        }<a name="line.342"></a>
+<FONT color="green">343</FONT>         <a name="line.343"></a>
+<FONT color="green">344</FONT>        private void checkNextSecureIntUniform(int min, int max) {<a name="line.344"></a>
+<FONT color="green">345</FONT>            final Frequency freq = new Frequency();<a name="line.345"></a>
+<FONT color="green">346</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.346"></a>
+<FONT color="green">347</FONT>                final int value = randomData.nextSecureInt(min, max);<a name="line.347"></a>
+<FONT color="green">348</FONT>                Assert.assertTrue("nextInt range", (value &gt;= min) &amp;&amp; (value &lt;= max));<a name="line.348"></a>
+<FONT color="green">349</FONT>                freq.addValue(value);<a name="line.349"></a>
+<FONT color="green">350</FONT>            }<a name="line.350"></a>
+<FONT color="green">351</FONT>            final int len = max - min + 1;<a name="line.351"></a>
+<FONT color="green">352</FONT>            final long[] observed = new long[len];<a name="line.352"></a>
+<FONT color="green">353</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.353"></a>
+<FONT color="green">354</FONT>                observed[i] = freq.getCount(min + i);<a name="line.354"></a>
+<FONT color="green">355</FONT>            }<a name="line.355"></a>
+<FONT color="green">356</FONT>            final double[] expected = new double[len];<a name="line.356"></a>
+<FONT color="green">357</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.357"></a>
+<FONT color="green">358</FONT>                expected[i] = 1d / len;<a name="line.358"></a>
+<FONT color="green">359</FONT>            }<a name="line.359"></a>
+<FONT color="green">360</FONT>            <a name="line.360"></a>
+<FONT color="green">361</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.0001);<a name="line.361"></a>
+<FONT color="green">362</FONT>        }<a name="line.362"></a>
+<FONT color="green">363</FONT>        <a name="line.363"></a>
+<FONT color="green">364</FONT>        <a name="line.364"></a>
+<FONT color="green">365</FONT>    <a name="line.365"></a>
+<FONT color="green">366</FONT>        /**<a name="line.366"></a>
+<FONT color="green">367</FONT>         * Make sure that empirical distribution of random Poisson(4)'s has P(X &lt;=<a name="line.367"></a>
+<FONT color="green">368</FONT>         * 5) close to actual cumulative Poisson probability and that nextPoisson<a name="line.368"></a>
+<FONT color="green">369</FONT>         * fails when mean is non-positive.<a name="line.369"></a>
+<FONT color="green">370</FONT>         */<a name="line.370"></a>
+<FONT color="green">371</FONT>        @Test<a name="line.371"></a>
+<FONT color="green">372</FONT>        public void testNextPoisson() {<a name="line.372"></a>
+<FONT color="green">373</FONT>            try {<a name="line.373"></a>
+<FONT color="green">374</FONT>                randomData.nextPoisson(0);<a name="line.374"></a>
+<FONT color="green">375</FONT>                Assert.fail("zero mean -- expecting MathIllegalArgumentException");<a name="line.375"></a>
+<FONT color="green">376</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.376"></a>
+<FONT color="green">377</FONT>                // ignored<a name="line.377"></a>
+<FONT color="green">378</FONT>            }<a name="line.378"></a>
+<FONT color="green">379</FONT>            try {<a name="line.379"></a>
+<FONT color="green">380</FONT>                randomData.nextPoisson(-1);<a name="line.380"></a>
+<FONT color="green">381</FONT>                Assert.fail("negative mean supplied -- MathIllegalArgumentException expected");<a name="line.381"></a>
+<FONT color="green">382</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.382"></a>
+<FONT color="green">383</FONT>                // ignored<a name="line.383"></a>
+<FONT color="green">384</FONT>            }<a name="line.384"></a>
+<FONT color="green">385</FONT>            try {<a name="line.385"></a>
+<FONT color="green">386</FONT>                randomData.nextPoisson(0);<a name="line.386"></a>
+<FONT color="green">387</FONT>                Assert.fail("0 mean supplied -- MathIllegalArgumentException expected");<a name="line.387"></a>
+<FONT color="green">388</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.388"></a>
+<FONT color="green">389</FONT>                // ignored<a name="line.389"></a>
+<FONT color="green">390</FONT>            }<a name="line.390"></a>
+<FONT color="green">391</FONT>            <a name="line.391"></a>
+<FONT color="green">392</FONT>            final double mean = 4.0d;<a name="line.392"></a>
+<FONT color="green">393</FONT>            final int len = 5;<a name="line.393"></a>
+<FONT color="green">394</FONT>            PoissonDistribution poissonDistribution = new PoissonDistribution(mean);<a name="line.394"></a>
+<FONT color="green">395</FONT>            Frequency f = new Frequency();<a name="line.395"></a>
+<FONT color="green">396</FONT>            randomData.reSeed(1000);<a name="line.396"></a>
+<FONT color="green">397</FONT>            for (int i = 0; i &lt; largeSampleSize; i++) {<a name="line.397"></a>
+<FONT color="green">398</FONT>                f.addValue(randomData.nextPoisson(mean));<a name="line.398"></a>
+<FONT color="green">399</FONT>            }<a name="line.399"></a>
+<FONT color="green">400</FONT>            final long[] observed = new long[len];<a name="line.400"></a>
+<FONT color="green">401</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.401"></a>
+<FONT color="green">402</FONT>                observed[i] = f.getCount(i + 1);<a name="line.402"></a>
+<FONT color="green">403</FONT>            }<a name="line.403"></a>
+<FONT color="green">404</FONT>            final double[] expected = new double[len];<a name="line.404"></a>
+<FONT color="green">405</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.405"></a>
+<FONT color="green">406</FONT>                expected[i] = poissonDistribution.probability(i + 1) * largeSampleSize;<a name="line.406"></a>
+<FONT color="green">407</FONT>            }<a name="line.407"></a>
+<FONT color="green">408</FONT>            <a name="line.408"></a>
+<FONT color="green">409</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.0001);<a name="line.409"></a>
+<FONT color="green">410</FONT>        }<a name="line.410"></a>
+<FONT color="green">411</FONT>    <a name="line.411"></a>
+<FONT color="green">412</FONT>        @Test<a name="line.412"></a>
+<FONT color="green">413</FONT>        public void testNextPoissonConsistency() {<a name="line.413"></a>
+<FONT color="green">414</FONT>    <a name="line.414"></a>
+<FONT color="green">415</FONT>            // Small integral means<a name="line.415"></a>
+<FONT color="green">416</FONT>            for (int i = 1; i &lt; 100; i++) {<a name="line.416"></a>
+<FONT color="green">417</FONT>                checkNextPoissonConsistency(i);<a name="line.417"></a>
+<FONT color="green">418</FONT>            }<a name="line.418"></a>
+<FONT color="green">419</FONT>            // non-integer means<a name="line.419"></a>
+<FONT color="green">420</FONT>            for (int i = 1; i &lt; 10; i++) {<a name="line.420"></a>
+<FONT color="green">421</FONT>                checkNextPoissonConsistency(randomData.nextUniform(1, 1000));<a name="line.421"></a>
+<FONT color="green">422</FONT>            }<a name="line.422"></a>
+<FONT color="green">423</FONT>            // large means<a name="line.423"></a>
+<FONT color="green">424</FONT>            // TODO: When MATH-282 is resolved, s/3000/10000 below<a name="line.424"></a>
+<FONT color="green">425</FONT>            for (int i = 1; i &lt; 10; i++) {<a name="line.425"></a>
+<FONT color="green">426</FONT>                checkNextPoissonConsistency(randomData.nextUniform(1000, 3000));<a name="line.426"></a>
+<FONT color="green">427</FONT>            }<a name="line.427"></a>
+<FONT color="green">428</FONT>        }<a name="line.428"></a>
+<FONT color="green">429</FONT>    <a name="line.429"></a>
+<FONT color="green">430</FONT>        /**<a name="line.430"></a>
+<FONT color="green">431</FONT>         * Verifies that nextPoisson(mean) generates an empirical distribution of values<a name="line.431"></a>
+<FONT color="green">432</FONT>         * consistent with PoissonDistributionImpl by generating 1000 values, computing a<a name="line.432"></a>
+<FONT color="green">433</FONT>         * grouped frequency distribution of the observed values and comparing this distribution<a name="line.433"></a>
+<FONT color="green">434</FONT>         * to the corresponding expected distribution computed using PoissonDistributionImpl.<a name="line.434"></a>
+<FONT color="green">435</FONT>         * Uses ChiSquare test of goodness of fit to evaluate the null hypothesis that the<a name="line.435"></a>
+<FONT color="green">436</FONT>         * distributions are the same. If the null hypothesis can be rejected with confidence<a name="line.436"></a>
+<FONT color="green">437</FONT>         * 1 - alpha, the check fails.<a name="line.437"></a>
+<FONT color="green">438</FONT>         */<a name="line.438"></a>
+<FONT color="green">439</FONT>        public void checkNextPoissonConsistency(double mean) {<a name="line.439"></a>
+<FONT color="green">440</FONT>            // Generate sample values<a name="line.440"></a>
+<FONT color="green">441</FONT>            final int sampleSize = 1000;        // Number of deviates to generate<a name="line.441"></a>
+<FONT color="green">442</FONT>            final int minExpectedCount = 7;     // Minimum size of expected bin count<a name="line.442"></a>
+<FONT color="green">443</FONT>            long maxObservedValue = 0;<a name="line.443"></a>
+<FONT color="green">444</FONT>            final double alpha = 0.001;         // Probability of false failure<a name="line.444"></a>
+<FONT color="green">445</FONT>            Frequency frequency = new Frequency();<a name="line.445"></a>
+<FONT color="green">446</FONT>            for (int i = 0; i &lt; sampleSize; i++) {<a name="line.446"></a>
+<FONT color="green">447</FONT>                long value = randomData.nextPoisson(mean);<a name="line.447"></a>
+<FONT color="green">448</FONT>                if (value &gt; maxObservedValue) {<a name="line.448"></a>
+<FONT color="green">449</FONT>                    maxObservedValue = value;<a name="line.449"></a>
+<FONT color="green">450</FONT>                }<a name="line.450"></a>
+<FONT color="green">451</FONT>                frequency.addValue(value);<a name="line.451"></a>
+<FONT color="green">452</FONT>            }<a name="line.452"></a>
+<FONT color="green">453</FONT>    <a name="line.453"></a>
+<FONT color="green">454</FONT>            /*<a name="line.454"></a>
+<FONT color="green">455</FONT>             *  Set up bins for chi-square test.<a name="line.455"></a>
+<FONT color="green">456</FONT>             *  Ensure expected counts are all at least minExpectedCount.<a name="line.456"></a>
+<FONT color="green">457</FONT>             *  Start with upper and lower tail bins.<a name="line.457"></a>
+<FONT color="green">458</FONT>             *  Lower bin = [0, lower); Upper bin = [upper, +inf).<a name="line.458"></a>
+<FONT color="green">459</FONT>             */<a name="line.459"></a>
+<FONT color="green">460</FONT>            PoissonDistribution poissonDistribution = new PoissonDistribution(mean);<a name="line.460"></a>
+<FONT color="green">461</FONT>            int lower = 1;<a name="line.461"></a>
+<FONT color="green">462</FONT>            while (poissonDistribution.cumulativeProbability(lower - 1) * sampleSize &lt; minExpectedCount) {<a name="line.462"></a>
+<FONT color="green">463</FONT>                lower++;<a name="line.463"></a>
+<FONT color="green">464</FONT>            }<a name="line.464"></a>
+<FONT color="green">465</FONT>            int upper = (int) (5 * mean);  // Even for mean = 1, not much mass beyond 5<a name="line.465"></a>
+<FONT color="green">466</FONT>            while ((1 - poissonDistribution.cumulativeProbability(upper - 1)) * sampleSize &lt; minExpectedCount) {<a name="line.466"></a>
+<FONT color="green">467</FONT>                upper--;<a name="line.467"></a>
+<FONT color="green">468</FONT>            }<a name="line.468"></a>
+<FONT color="green">469</FONT>    <a name="line.469"></a>
+<FONT color="green">470</FONT>            // Set bin width for interior bins.  For poisson, only need to look at end bins.<a name="line.470"></a>
+<FONT color="green">471</FONT>            int binWidth = 0;<a name="line.471"></a>
+<FONT color="green">472</FONT>            boolean widthSufficient = false;<a name="line.472"></a>
+<FONT color="green">473</FONT>            double lowerBinMass = 0;<a name="line.473"></a>
+<FONT color="green">474</FONT>            double upperBinMass = 0;<a name="line.474"></a>
+<FONT color="green">475</FONT>            while (!widthSufficient) {<a name="line.475"></a>
+<FONT color="green">476</FONT>                binWidth++;<a name="line.476"></a>
+<FONT color="green">477</FONT>                lowerBinMass = poissonDistribution.cumulativeProbability(lower - 1, lower + binWidth - 1);<a name="line.477"></a>
+<FONT color="green">478</FONT>                upperBinMass = poissonDistribution.cumulativeProbability(upper - binWidth - 1, upper - 1);<a name="line.478"></a>
+<FONT color="green">479</FONT>                widthSufficient = FastMath.min(lowerBinMass, upperBinMass) * sampleSize &gt;= minExpectedCount;<a name="line.479"></a>
+<FONT color="green">480</FONT>            }<a name="line.480"></a>
+<FONT color="green">481</FONT>    <a name="line.481"></a>
+<FONT color="green">482</FONT>            /*<a name="line.482"></a>
+<FONT color="green">483</FONT>             *  Determine interior bin bounds.  Bins are<a name="line.483"></a>
+<FONT color="green">484</FONT>             *  [1, lower = binBounds[0]), [lower, binBounds[1]), [binBounds[1], binBounds[2]), ... ,<a name="line.484"></a>
+<FONT color="green">485</FONT>             *    [binBounds[binCount - 2], upper = binBounds[binCount - 1]), [upper, +inf)<a name="line.485"></a>
+<FONT color="green">486</FONT>             *<a name="line.486"></a>
+<FONT color="green">487</FONT>             */<a name="line.487"></a>
+<FONT color="green">488</FONT>            List&lt;Integer&gt; binBounds = new ArrayList&lt;Integer&gt;();<a name="line.488"></a>
+<FONT color="green">489</FONT>            binBounds.add(lower);<a name="line.489"></a>
+<FONT color="green">490</FONT>            int bound = lower + binWidth;<a name="line.490"></a>
+<FONT color="green">491</FONT>            while (bound &lt; upper - binWidth) {<a name="line.491"></a>
+<FONT color="green">492</FONT>                binBounds.add(bound);<a name="line.492"></a>
+<FONT color="green">493</FONT>                bound += binWidth;<a name="line.493"></a>
+<FONT color="green">494</FONT>            }<a name="line.494"></a>
+<FONT color="green">495</FONT>            binBounds.add(upper); // The size of bin [binBounds[binCount - 2], upper) satisfies binWidth &lt;= size &lt; 2*binWidth.<a name="line.495"></a>
+<FONT color="green">496</FONT>    <a name="line.496"></a>
+<FONT color="green">497</FONT>            // Compute observed and expected bin counts<a name="line.497"></a>
+<FONT color="green">498</FONT>            final int binCount = binBounds.size() + 1;<a name="line.498"></a>
+<FONT color="green">499</FONT>            long[] observed = new long[binCount];<a name="line.499"></a>
+<FONT color="green">500</FONT>            double[] expected = new double[binCount];<a name="line.500"></a>
+<FONT color="green">501</FONT>    <a name="line.501"></a>
+<FONT color="green">502</FONT>            // Bottom bin<a name="line.502"></a>
+<FONT color="green">503</FONT>            observed[0] = 0;<a name="line.503"></a>
+<FONT color="green">504</FONT>            for (int i = 0; i &lt; lower; i++) {<a name="line.504"></a>
+<FONT color="green">505</FONT>                observed[0] += frequency.getCount(i);<a name="line.505"></a>
+<FONT color="green">506</FONT>            }<a name="line.506"></a>
+<FONT color="green">507</FONT>            expected[0] = poissonDistribution.cumulativeProbability(lower - 1) * sampleSize;<a name="line.507"></a>
+<FONT color="green">508</FONT>    <a name="line.508"></a>
+<FONT color="green">509</FONT>            // Top bin<a name="line.509"></a>
+<FONT color="green">510</FONT>            observed[binCount - 1] = 0;<a name="line.510"></a>
+<FONT color="green">511</FONT>            for (int i = upper; i &lt;= maxObservedValue; i++) {<a name="line.511"></a>
+<FONT color="green">512</FONT>                observed[binCount - 1] += frequency.getCount(i);<a name="line.512"></a>
+<FONT color="green">513</FONT>            }<a name="line.513"></a>
+<FONT color="green">514</FONT>            expected[binCount - 1] = (1 - poissonDistribution.cumulativeProbability(upper - 1)) * sampleSize;<a name="line.514"></a>
+<FONT color="green">515</FONT>    <a name="line.515"></a>
+<FONT color="green">516</FONT>            // Interior bins<a name="line.516"></a>
+<FONT color="green">517</FONT>            for (int i = 1; i &lt; binCount - 1; i++) {<a name="line.517"></a>
+<FONT color="green">518</FONT>                observed[i] = 0;<a name="line.518"></a>
+<FONT color="green">519</FONT>                for (int j = binBounds.get(i - 1); j &lt; binBounds.get(i); j++) {<a name="line.519"></a>
+<FONT color="green">520</FONT>                    observed[i] += frequency.getCount(j);<a name="line.520"></a>
+<FONT color="green">521</FONT>                } // Expected count is (mass in [binBounds[i-1], binBounds[i])) * sampleSize<a name="line.521"></a>
+<FONT color="green">522</FONT>                expected[i] = (poissonDistribution.cumulativeProbability(binBounds.get(i) - 1) -<a name="line.522"></a>
+<FONT color="green">523</FONT>                    poissonDistribution.cumulativeProbability(binBounds.get(i - 1) -1)) * sampleSize;<a name="line.523"></a>
+<FONT color="green">524</FONT>            }<a name="line.524"></a>
+<FONT color="green">525</FONT>    <a name="line.525"></a>
+<FONT color="green">526</FONT>            // Use chisquare test to verify that generated values are poisson(mean)-distributed<a name="line.526"></a>
+<FONT color="green">527</FONT>            ChiSquareTest chiSquareTest = new ChiSquareTest();<a name="line.527"></a>
+<FONT color="green">528</FONT>                // Fail if we can reject null hypothesis that distributions are the same<a name="line.528"></a>
+<FONT color="green">529</FONT>            if (chiSquareTest.chiSquareTest(expected, observed, alpha)) {<a name="line.529"></a>
+<FONT color="green">530</FONT>                StringBuilder msgBuffer = new StringBuilder();<a name="line.530"></a>
+<FONT color="green">531</FONT>                DecimalFormat df = new DecimalFormat("#.##");<a name="line.531"></a>
+<FONT color="green">532</FONT>                msgBuffer.append("Chisquare test failed for mean = ");<a name="line.532"></a>
+<FONT color="green">533</FONT>                msgBuffer.append(mean);<a name="line.533"></a>
+<FONT color="green">534</FONT>                msgBuffer.append(" p-value = ");<a name="line.534"></a>
+<FONT color="green">535</FONT>                msgBuffer.append(chiSquareTest.chiSquareTest(expected, observed));<a name="line.535"></a>
+<FONT color="green">536</FONT>                msgBuffer.append(" chisquare statistic = ");<a name="line.536"></a>
+<FONT color="green">537</FONT>                msgBuffer.append(chiSquareTest.chiSquare(expected, observed));<a name="line.537"></a>
+<FONT color="green">538</FONT>                msgBuffer.append(". \n");<a name="line.538"></a>
+<FONT color="green">539</FONT>                msgBuffer.append("bin\t\texpected\tobserved\n");<a name="line.539"></a>
+<FONT color="green">540</FONT>                for (int i = 0; i &lt; expected.length; i++) {<a name="line.540"></a>
+<FONT color="green">541</FONT>                    msgBuffer.append("[");<a name="line.541"></a>
+<FONT color="green">542</FONT>                    msgBuffer.append(i == 0 ? 1: binBounds.get(i - 1));<a name="line.542"></a>
+<FONT color="green">543</FONT>                    msgBuffer.append(",");<a name="line.543"></a>
+<FONT color="green">544</FONT>                    msgBuffer.append(i == binBounds.size() ? "inf": binBounds.get(i));<a name="line.544"></a>
+<FONT color="green">545</FONT>                    msgBuffer.append(")");<a name="line.545"></a>
+<FONT color="green">546</FONT>                    msgBuffer.append("\t\t");<a name="line.546"></a>
+<FONT color="green">547</FONT>                    msgBuffer.append(df.format(expected[i]));<a name="line.547"></a>
+<FONT color="green">548</FONT>                    msgBuffer.append("\t\t");<a name="line.548"></a>
+<FONT color="green">549</FONT>                    msgBuffer.append(observed[i]);<a name="line.549"></a>
+<FONT color="green">550</FONT>                    msgBuffer.append("\n");<a name="line.550"></a>
+<FONT color="green">551</FONT>                }<a name="line.551"></a>
+<FONT color="green">552</FONT>                msgBuffer.append("This test can fail randomly due to sampling error with probability ");<a name="line.552"></a>
+<FONT color="green">553</FONT>                msgBuffer.append(alpha);<a name="line.553"></a>
+<FONT color="green">554</FONT>                msgBuffer.append(".");<a name="line.554"></a>
+<FONT color="green">555</FONT>                Assert.fail(msgBuffer.toString());<a name="line.555"></a>
+<FONT color="green">556</FONT>            }<a name="line.556"></a>
+<FONT color="green">557</FONT>        }<a name="line.557"></a>
+<FONT color="green">558</FONT>    <a name="line.558"></a>
+<FONT color="green">559</FONT>        /** test dispersion and failure modes for nextHex() */<a name="line.559"></a>
+<FONT color="green">560</FONT>        @Test<a name="line.560"></a>
+<FONT color="green">561</FONT>        public void testNextHex() {<a name="line.561"></a>
+<FONT color="green">562</FONT>            try {<a name="line.562"></a>
+<FONT color="green">563</FONT>                randomData.nextHexString(-1);<a name="line.563"></a>
+<FONT color="green">564</FONT>                Assert.fail("negative length supplied -- MathIllegalArgumentException expected");<a name="line.564"></a>
+<FONT color="green">565</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.565"></a>
+<FONT color="green">566</FONT>                // ignored<a name="line.566"></a>
+<FONT color="green">567</FONT>            }<a name="line.567"></a>
+<FONT color="green">568</FONT>            try {<a name="line.568"></a>
+<FONT color="green">569</FONT>                randomData.nextHexString(0);<a name="line.569"></a>
+<FONT color="green">570</FONT>                Assert.fail("zero length supplied -- MathIllegalArgumentException expected");<a name="line.570"></a>
+<FONT color="green">571</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.571"></a>
+<FONT color="green">572</FONT>                // ignored<a name="line.572"></a>
+<FONT color="green">573</FONT>            }<a name="line.573"></a>
+<FONT color="green">574</FONT>            String hexString = randomData.nextHexString(3);<a name="line.574"></a>
+<FONT color="green">575</FONT>            if (hexString.length() != 3) {<a name="line.575"></a>
+<FONT color="green">576</FONT>                Assert.fail("incorrect length for generated string");<a name="line.576"></a>
+<FONT color="green">577</FONT>            }<a name="line.577"></a>
+<FONT color="green">578</FONT>            hexString = randomData.nextHexString(1);<a name="line.578"></a>
+<FONT color="green">579</FONT>            if (hexString.length() != 1) {<a name="line.579"></a>
+<FONT color="green">580</FONT>                Assert.fail("incorrect length for generated string");<a name="line.580"></a>
+<FONT color="green">581</FONT>            }<a name="line.581"></a>
+<FONT color="green">582</FONT>            try {<a name="line.582"></a>
+<FONT color="green">583</FONT>                hexString = randomData.nextHexString(0);<a name="line.583"></a>
+<FONT color="green">584</FONT>                Assert.fail("zero length requested -- expecting MathIllegalArgumentException");<a name="line.584"></a>
+<FONT color="green">585</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.585"></a>
+<FONT color="green">586</FONT>                // ignored<a name="line.586"></a>
+<FONT color="green">587</FONT>            }<a name="line.587"></a>
+<FONT color="green">588</FONT>            Frequency f = new Frequency();<a name="line.588"></a>
+<FONT color="green">589</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.589"></a>
+<FONT color="green">590</FONT>                hexString = randomData.nextHexString(100);<a name="line.590"></a>
+<FONT color="green">591</FONT>                if (hexString.length() != 100) {<a name="line.591"></a>
+<FONT color="green">592</FONT>                    Assert.fail("incorrect length for generated string");<a name="line.592"></a>
+<FONT color="green">593</FONT>                }<a name="line.593"></a>
+<FONT color="green">594</FONT>                for (int j = 0; j &lt; hexString.length(); j++) {<a name="line.594"></a>
+<FONT color="green">595</FONT>                    f.addValue(hexString.substring(j, j + 1));<a name="line.595"></a>
+<FONT color="green">596</FONT>                }<a name="line.596"></a>
+<FONT color="green">597</FONT>            }<a name="line.597"></a>
+<FONT color="green">598</FONT>            double[] expected = new double[16];<a name="line.598"></a>
+<FONT color="green">599</FONT>            long[] observed = new long[16];<a name="line.599"></a>
+<FONT color="green">600</FONT>            for (int i = 0; i &lt; 16; i++) {<a name="line.600"></a>
+<FONT color="green">601</FONT>                expected[i] = (double) smallSampleSize * 100 / 16;<a name="line.601"></a>
+<FONT color="green">602</FONT>                observed[i] = f.getCount(hex[i]);<a name="line.602"></a>
+<FONT color="green">603</FONT>            }<a name="line.603"></a>
+<FONT color="green">604</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.001);<a name="line.604"></a>
+<FONT color="green">605</FONT>        }<a name="line.605"></a>
+<FONT color="green">606</FONT>    <a name="line.606"></a>
+<FONT color="green">607</FONT>        /** test dispersion and failure modes for nextHex() */<a name="line.607"></a>
+<FONT color="green">608</FONT>        @Test<a name="line.608"></a>
+<FONT color="green">609</FONT>        @Retry(3)<a name="line.609"></a>
+<FONT color="green">610</FONT>        public void testNextSecureHex() {<a name="line.610"></a>
+<FONT color="green">611</FONT>            try {<a name="line.611"></a>
+<FONT color="green">612</FONT>                randomData.nextSecureHexString(-1);<a name="line.612"></a>
+<FONT color="green">613</FONT>                Assert.fail("negative length -- MathIllegalArgumentException expected");<a name="line.613"></a>
+<FONT color="green">614</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.614"></a>
+<FONT color="green">615</FONT>                // ignored<a name="line.615"></a>
+<FONT color="green">616</FONT>            }<a name="line.616"></a>
+<FONT color="green">617</FONT>            try {<a name="line.617"></a>
+<FONT color="green">618</FONT>                randomData.nextSecureHexString(0);<a name="line.618"></a>
+<FONT color="green">619</FONT>                Assert.fail("zero length -- MathIllegalArgumentException expected");<a name="line.619"></a>
+<FONT color="green">620</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.620"></a>
+<FONT color="green">621</FONT>                // ignored<a name="line.621"></a>
+<FONT color="green">622</FONT>            }<a name="line.622"></a>
+<FONT color="green">623</FONT>            String hexString = randomData.nextSecureHexString(3);<a name="line.623"></a>
+<FONT color="green">624</FONT>            if (hexString.length() != 3) {<a name="line.624"></a>
+<FONT color="green">625</FONT>                Assert.fail("incorrect length for generated string");<a name="line.625"></a>
+<FONT color="green">626</FONT>            }<a name="line.626"></a>
+<FONT color="green">627</FONT>            hexString = randomData.nextSecureHexString(1);<a name="line.627"></a>
+<FONT color="green">628</FONT>            if (hexString.length() != 1) {<a name="line.628"></a>
+<FONT color="green">629</FONT>                Assert.fail("incorrect length for generated string");<a name="line.629"></a>
+<FONT color="green">630</FONT>            }<a name="line.630"></a>
+<FONT color="green">631</FONT>            try {<a name="line.631"></a>
+<FONT color="green">632</FONT>                hexString = randomData.nextSecureHexString(0);<a name="line.632"></a>
+<FONT color="green">633</FONT>                Assert.fail("zero length requested -- expecting MathIllegalArgumentException");<a name="line.633"></a>
+<FONT color="green">634</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.634"></a>
+<FONT color="green">635</FONT>                // ignored<a name="line.635"></a>
+<FONT color="green">636</FONT>            }<a name="line.636"></a>
+<FONT color="green">637</FONT>            Frequency f = new Frequency();<a name="line.637"></a>
+<FONT color="green">638</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.638"></a>
+<FONT color="green">639</FONT>                hexString = randomData.nextSecureHexString(100);<a name="line.639"></a>
+<FONT color="green">640</FONT>                if (hexString.length() != 100) {<a name="line.640"></a>
+<FONT color="green">641</FONT>                    Assert.fail("incorrect length for generated string");<a name="line.641"></a>
+<FONT color="green">642</FONT>                }<a name="line.642"></a>
+<FONT color="green">643</FONT>                for (int j = 0; j &lt; hexString.length(); j++) {<a name="line.643"></a>
+<FONT color="green">644</FONT>                    f.addValue(hexString.substring(j, j + 1));<a name="line.644"></a>
+<FONT color="green">645</FONT>                }<a name="line.645"></a>
+<FONT color="green">646</FONT>            }<a name="line.646"></a>
+<FONT color="green">647</FONT>            double[] expected = new double[16];<a name="line.647"></a>
+<FONT color="green">648</FONT>            long[] observed = new long[16];<a name="line.648"></a>
+<FONT color="green">649</FONT>            for (int i = 0; i &lt; 16; i++) {<a name="line.649"></a>
+<FONT color="green">650</FONT>                expected[i] = (double) smallSampleSize * 100 / 16;<a name="line.650"></a>
+<FONT color="green">651</FONT>                observed[i] = f.getCount(hex[i]);<a name="line.651"></a>
+<FONT color="green">652</FONT>            }<a name="line.652"></a>
+<FONT color="green">653</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.001);<a name="line.653"></a>
+<FONT color="green">654</FONT>        }<a name="line.654"></a>
+<FONT color="green">655</FONT>    <a name="line.655"></a>
+<FONT color="green">656</FONT>        @Test<a name="line.656"></a>
+<FONT color="green">657</FONT>        public void testNextUniformIAE() {<a name="line.657"></a>
+<FONT color="green">658</FONT>            try {<a name="line.658"></a>
+<FONT color="green">659</FONT>                randomData.nextUniform(4, 3);<a name="line.659"></a>
+<FONT color="green">660</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.660"></a>
+<FONT color="green">661</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.661"></a>
+<FONT color="green">662</FONT>                // ignored<a name="line.662"></a>
+<FONT color="green">663</FONT>            }<a name="line.663"></a>
+<FONT color="green">664</FONT>            try {<a name="line.664"></a>
+<FONT color="green">665</FONT>                randomData.nextUniform(0, Double.POSITIVE_INFINITY);<a name="line.665"></a>
+<FONT color="green">666</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.666"></a>
+<FONT color="green">667</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.667"></a>
+<FONT color="green">668</FONT>                // ignored<a name="line.668"></a>
+<FONT color="green">669</FONT>            }<a name="line.669"></a>
+<FONT color="green">670</FONT>            try {<a name="line.670"></a>
+<FONT color="green">671</FONT>                randomData.nextUniform(Double.NEGATIVE_INFINITY, 0);<a name="line.671"></a>
+<FONT color="green">672</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.672"></a>
+<FONT color="green">673</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.673"></a>
+<FONT color="green">674</FONT>                // ignored<a name="line.674"></a>
+<FONT color="green">675</FONT>            }<a name="line.675"></a>
+<FONT color="green">676</FONT>            try {<a name="line.676"></a>
+<FONT color="green">677</FONT>                randomData.nextUniform(0, Double.NaN);<a name="line.677"></a>
+<FONT color="green">678</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.678"></a>
+<FONT color="green">679</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.679"></a>
+<FONT color="green">680</FONT>                // ignored<a name="line.680"></a>
+<FONT color="green">681</FONT>            }<a name="line.681"></a>
+<FONT color="green">682</FONT>            try {<a name="line.682"></a>
+<FONT color="green">683</FONT>                randomData.nextUniform(Double.NaN, 0);<a name="line.683"></a>
+<FONT color="green">684</FONT>                Assert.fail("MathIllegalArgumentException expected");<a name="line.684"></a>
+<FONT color="green">685</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.685"></a>
+<FONT color="green">686</FONT>                // ignored<a name="line.686"></a>
+<FONT color="green">687</FONT>            }<a name="line.687"></a>
+<FONT color="green">688</FONT>        }<a name="line.688"></a>
+<FONT color="green">689</FONT>        <a name="line.689"></a>
+<FONT color="green">690</FONT>        @Test<a name="line.690"></a>
+<FONT color="green">691</FONT>        public void testNextUniformUniformPositiveBounds() {<a name="line.691"></a>
+<FONT color="green">692</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.692"></a>
+<FONT color="green">693</FONT>                checkNextUniformUniform(0, 10);<a name="line.693"></a>
+<FONT color="green">694</FONT>            }<a name="line.694"></a>
+<FONT color="green">695</FONT>        }<a name="line.695"></a>
+<FONT color="green">696</FONT>        <a name="line.696"></a>
+<FONT color="green">697</FONT>        @Test<a name="line.697"></a>
+<FONT color="green">698</FONT>        public void testNextUniformUniformNegativeToPositiveBounds() {<a name="line.698"></a>
+<FONT color="green">699</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.699"></a>
+<FONT color="green">700</FONT>                checkNextUniformUniform(-3, 5);<a name="line.700"></a>
+<FONT color="green">701</FONT>            }<a name="line.701"></a>
+<FONT color="green">702</FONT>        }<a name="line.702"></a>
+<FONT color="green">703</FONT>        <a name="line.703"></a>
+<FONT color="green">704</FONT>        @Test<a name="line.704"></a>
+<FONT color="green">705</FONT>        public void testNextUniformUniformNegaiveBounds() {<a name="line.705"></a>
+<FONT color="green">706</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.706"></a>
+<FONT color="green">707</FONT>                checkNextUniformUniform(-7, -3);<a name="line.707"></a>
+<FONT color="green">708</FONT>            }<a name="line.708"></a>
+<FONT color="green">709</FONT>        }<a name="line.709"></a>
+<FONT color="green">710</FONT>        <a name="line.710"></a>
+<FONT color="green">711</FONT>        @Test<a name="line.711"></a>
+<FONT color="green">712</FONT>        public void testNextUniformUniformMaximalInterval() {<a name="line.712"></a>
+<FONT color="green">713</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.713"></a>
+<FONT color="green">714</FONT>                checkNextUniformUniform(-Double.MAX_VALUE, Double.MAX_VALUE);<a name="line.714"></a>
+<FONT color="green">715</FONT>            }<a name="line.715"></a>
+<FONT color="green">716</FONT>        }<a name="line.716"></a>
+<FONT color="green">717</FONT>        <a name="line.717"></a>
+<FONT color="green">718</FONT>        private void checkNextUniformUniform(double min, double max) {<a name="line.718"></a>
+<FONT color="green">719</FONT>            // Set up bin bounds - min, binBound[0], ..., binBound[binCount-2], max<a name="line.719"></a>
+<FONT color="green">720</FONT>            final int binCount = 5;<a name="line.720"></a>
+<FONT color="green">721</FONT>            final double binSize = max / binCount - min/binCount; // Prevent overflow in extreme value case<a name="line.721"></a>
+<FONT color="green">722</FONT>            final double[] binBounds = new double[binCount - 1];<a name="line.722"></a>
+<FONT color="green">723</FONT>            binBounds[0] = min + binSize;<a name="line.723"></a>
+<FONT color="green">724</FONT>            for (int i = 1; i &lt; binCount - 1; i++) {<a name="line.724"></a>
+<FONT color="green">725</FONT>                binBounds[i] = binBounds[i - 1] + binSize;  // + instead of * to avoid overflow in extreme case<a name="line.725"></a>
+<FONT color="green">726</FONT>            }<a name="line.726"></a>
+<FONT color="green">727</FONT>            <a name="line.727"></a>
+<FONT color="green">728</FONT>            final Frequency freq = new Frequency();<a name="line.728"></a>
+<FONT color="green">729</FONT>            for (int i = 0; i &lt; smallSampleSize; i++) {<a name="line.729"></a>
+<FONT color="green">730</FONT>                final double value = randomData.nextUniform(min, max);<a name="line.730"></a>
+<FONT color="green">731</FONT>                Assert.assertTrue("nextUniform range", (value &gt; min) &amp;&amp; (value &lt; max));<a name="line.731"></a>
+<FONT color="green">732</FONT>                // Find bin<a name="line.732"></a>
+<FONT color="green">733</FONT>                int j = 0;<a name="line.733"></a>
+<FONT color="green">734</FONT>                while (j &lt; binCount - 1 &amp;&amp; value &gt; binBounds[j]) {<a name="line.734"></a>
+<FONT color="green">735</FONT>                    j++;<a name="line.735"></a>
+<FONT color="green">736</FONT>                }<a name="line.736"></a>
+<FONT color="green">737</FONT>                freq.addValue(j);<a name="line.737"></a>
+<FONT color="green">738</FONT>            }<a name="line.738"></a>
+<FONT color="green">739</FONT>           <a name="line.739"></a>
+<FONT color="green">740</FONT>            final long[] observed = new long[binCount];<a name="line.740"></a>
+<FONT color="green">741</FONT>            for (int i = 0; i &lt; binCount; i++) {<a name="line.741"></a>
+<FONT color="green">742</FONT>                observed[i] = freq.getCount(i);<a name="line.742"></a>
+<FONT color="green">743</FONT>            }<a name="line.743"></a>
+<FONT color="green">744</FONT>            final double[] expected = new double[binCount];<a name="line.744"></a>
+<FONT color="green">745</FONT>            for (int i = 0; i &lt; binCount; i++) {<a name="line.745"></a>
+<FONT color="green">746</FONT>                expected[i] = 1d / binCount;<a name="line.746"></a>
+<FONT color="green">747</FONT>            }<a name="line.747"></a>
+<FONT color="green">748</FONT>            <a name="line.748"></a>
+<FONT color="green">749</FONT>            TestUtils.assertChiSquareAccept(expected, observed, 0.01);<a name="line.749"></a>
+<FONT color="green">750</FONT>        }<a name="line.750"></a>
+<FONT color="green">751</FONT>    <a name="line.751"></a>
+<FONT color="green">752</FONT>        /** test exclusive endpoints of nextUniform **/<a name="line.752"></a>
+<FONT color="green">753</FONT>        @Test<a name="line.753"></a>
+<FONT color="green">754</FONT>        public void testNextUniformExclusiveEndpoints() {<a name="line.754"></a>
+<FONT color="green">755</FONT>            for (int i = 0; i &lt; 1000; i++) {<a name="line.755"></a>
+<FONT color="green">756</FONT>                double u = randomData.nextUniform(0.99, 1);<a name="line.756"></a>
+<FONT color="green">757</FONT>                Assert.assertTrue(u &gt; 0.99 &amp;&amp; u &lt; 1);<a name="line.757"></a>
+<FONT color="green">758</FONT>            }<a name="line.758"></a>
+<FONT color="green">759</FONT>        }<a name="line.759"></a>
+<FONT color="green">760</FONT>    <a name="line.760"></a>
+<FONT color="green">761</FONT>        /** test failure modes and distribution of nextGaussian() */<a name="line.761"></a>
+<FONT color="green">762</FONT>        @Test<a name="line.762"></a>
+<FONT color="green">763</FONT>        public void testNextGaussian() {<a name="line.763"></a>
+<FONT color="green">764</FONT>            try {<a name="line.764"></a>
+<FONT color="green">765</FONT>                randomData.nextGaussian(0, 0);<a name="line.765"></a>
+<FONT color="green">766</FONT>                Assert.fail("zero sigma -- MathIllegalArgumentException expected");<a name="line.766"></a>
+<FONT color="green">767</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.767"></a>
+<FONT color="green">768</FONT>                // ignored<a name="line.768"></a>
+<FONT color="green">769</FONT>            }<a name="line.769"></a>
+<FONT color="green">770</FONT>            double[] quartiles = TestUtils.getDistributionQuartiles(new NormalDistribution(0,1));<a name="line.770"></a>
+<FONT color="green">771</FONT>            long[] counts = new long[4];<a name="line.771"></a>
+<FONT color="green">772</FONT>            randomData.reSeed(1000);<a name="line.772"></a>
+<FONT color="green">773</FONT>            for (int i = 0; i &lt; 1000; i++) {<a name="line.773"></a>
+<FONT color="green">774</FONT>                double value = randomData.nextGaussian(0, 1);<a name="line.774"></a>
+<FONT color="green">775</FONT>                TestUtils.updateCounts(value, counts, quartiles);<a name="line.775"></a>
+<FONT color="green">776</FONT>            }<a name="line.776"></a>
+<FONT color="green">777</FONT>            TestUtils.assertChiSquareAccept(expected, counts, 0.001);<a name="line.777"></a>
+<FONT color="green">778</FONT>        }<a name="line.778"></a>
+<FONT color="green">779</FONT>    <a name="line.779"></a>
+<FONT color="green">780</FONT>        /** test failure modes and distribution of nextExponential() */<a name="line.780"></a>
+<FONT color="green">781</FONT>        @Test<a name="line.781"></a>
+<FONT color="green">782</FONT>        public void testNextExponential() {<a name="line.782"></a>
+<FONT color="green">783</FONT>            try {<a name="line.783"></a>
+<FONT color="green">784</FONT>                randomData.nextExponential(-1);<a name="line.784"></a>
+<FONT color="green">785</FONT>                Assert.fail("negative mean -- expecting MathIllegalArgumentException");<a name="line.785"></a>
+<FONT color="green">786</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.786"></a>
+<FONT color="green">787</FONT>                // ignored<a name="line.787"></a>
+<FONT color="green">788</FONT>            }<a name="line.788"></a>
+<FONT color="green">789</FONT>            try {<a name="line.789"></a>
+<FONT color="green">790</FONT>                randomData.nextExponential(0);<a name="line.790"></a>
+<FONT color="green">791</FONT>                Assert.fail("zero mean -- expecting MathIllegalArgumentException");<a name="line.791"></a>
+<FONT color="green">792</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.792"></a>
+<FONT color="green">793</FONT>                // ignored<a name="line.793"></a>
+<FONT color="green">794</FONT>            }<a name="line.794"></a>
+<FONT color="green">795</FONT>            double[] quartiles;<a name="line.795"></a>
+<FONT color="green">796</FONT>            long[] counts;<a name="line.796"></a>
+<FONT color="green">797</FONT>    <a name="line.797"></a>
+<FONT color="green">798</FONT>            // Mean 1<a name="line.798"></a>
+<FONT color="green">799</FONT>            quartiles = TestUtils.getDistributionQuartiles(new ExponentialDistribution(1));<a name="line.799"></a>
+<FONT color="green">800</FONT>            counts = new long[4];<a name="line.800"></a>
+<FONT color="green">801</FONT>            randomData.reSeed(1000);<a name="line.801"></a>
+<FONT color="green">802</FONT>            for (int i = 0; i &lt; 1000; i++) {<a name="line.802"></a>
+<FONT color="green">803</FONT>                double value = randomData.nextExponential(1);<a name="line.803"></a>
+<FONT color="green">804</FONT>                TestUtils.updateCounts(value, counts, quartiles);<a name="line.804"></a>
+<FONT color="green">805</FONT>            }<a name="line.805"></a>
+<FONT color="green">806</FONT>            TestUtils.assertChiSquareAccept(expected, counts, 0.001);<a name="line.806"></a>
+<FONT color="green">807</FONT>    <a name="line.807"></a>
+<FONT color="green">808</FONT>            // Mean 5<a name="line.808"></a>
+<FONT color="green">809</FONT>            quartiles = TestUtils.getDistributionQuartiles(new ExponentialDistribution(5));<a name="line.809"></a>
+<FONT color="green">810</FONT>            counts = new long[4];<a name="line.810"></a>
+<FONT color="green">811</FONT>            randomData.reSeed(1000);<a name="line.811"></a>
+<FONT color="green">812</FONT>            for (int i = 0; i &lt; 1000; i++) {<a name="line.812"></a>
+<FONT color="green">813</FONT>                double value = randomData.nextExponential(5);<a name="line.813"></a>
+<FONT color="green">814</FONT>                TestUtils.updateCounts(value, counts, quartiles);<a name="line.814"></a>
+<FONT color="green">815</FONT>            }<a name="line.815"></a>
+<FONT color="green">816</FONT>            TestUtils.assertChiSquareAccept(expected, counts, 0.001);<a name="line.816"></a>
+<FONT color="green">817</FONT>        }<a name="line.817"></a>
+<FONT color="green">818</FONT>    <a name="line.818"></a>
+<FONT color="green">819</FONT>        /** test reseeding, algorithm/provider games */<a name="line.819"></a>
+<FONT color="green">820</FONT>        @Test<a name="line.820"></a>
+<FONT color="green">821</FONT>        public void testConfig() {<a name="line.821"></a>
+<FONT color="green">822</FONT>            randomData.reSeed(1000);<a name="line.822"></a>
+<FONT color="green">823</FONT>            double v = randomData.nextUniform(0, 1);<a name="line.823"></a>
+<FONT color="green">824</FONT>            randomData.reSeed();<a name="line.824"></a>
+<FONT color="green">825</FONT>            Assert.assertTrue("different seeds", Math<a name="line.825"></a>
+<FONT color="green">826</FONT>                    .abs(v - randomData.nextUniform(0, 1)) &gt; 10E-12);<a name="line.826"></a>
+<FONT color="green">827</FONT>            randomData.reSeed(1000);<a name="line.827"></a>
+<FONT color="green">828</FONT>            Assert.assertEquals("same seeds", v, randomData.nextUniform(0, 1), 10E-12);<a name="line.828"></a>
+<FONT color="green">829</FONT>            randomData.reSeedSecure(1000);<a name="line.829"></a>
+<FONT color="green">830</FONT>            String hex = randomData.nextSecureHexString(40);<a name="line.830"></a>
+<FONT color="green">831</FONT>            randomData.reSeedSecure();<a name="line.831"></a>
+<FONT color="green">832</FONT>            Assert.assertTrue("different seeds", !hex.equals(randomData<a name="line.832"></a>
+<FONT color="green">833</FONT>                    .nextSecureHexString(40)));<a name="line.833"></a>
+<FONT color="green">834</FONT>            randomData.reSeedSecure(1000);<a name="line.834"></a>
+<FONT color="green">835</FONT>            Assert.assertTrue("same seeds", !hex<a name="line.835"></a>
+<FONT color="green">836</FONT>                    .equals(randomData.nextSecureHexString(40)));<a name="line.836"></a>
+<FONT color="green">837</FONT>    <a name="line.837"></a>
+<FONT color="green">838</FONT>            /*<a name="line.838"></a>
+<FONT color="green">839</FONT>             * remove this test back soon, since it takes about 4 seconds<a name="line.839"></a>
+<FONT color="green">840</FONT>             *<a name="line.840"></a>
+<FONT color="green">841</FONT>             * try { randomData.setSecureAlgorithm("SHA1PRNG","SUN"); } catch<a name="line.841"></a>
+<FONT color="green">842</FONT>             * (NoSuchProviderException ex) { ; } Assert.assertTrue("different seeds",<a name="line.842"></a>
+<FONT color="green">843</FONT>             * !hex.equals(randomData.nextSecureHexString(40))); try {<a name="line.843"></a>
+<FONT color="green">844</FONT>             * randomData.setSecureAlgorithm("NOSUCHTHING","SUN");<a name="line.844"></a>
+<FONT color="green">845</FONT>             * Assert.fail("expecting NoSuchAlgorithmException"); } catch<a name="line.845"></a>
+<FONT color="green">846</FONT>             * (NoSuchProviderException ex) { ; } catch (NoSuchAlgorithmException<a name="line.846"></a>
+<FONT color="green">847</FONT>             * ex) { ; }<a name="line.847"></a>
+<FONT color="green">848</FONT>             *<a name="line.848"></a>
+<FONT color="green">849</FONT>             * try { randomData.setSecureAlgorithm("SHA1PRNG","NOSUCHPROVIDER");<a name="line.849"></a>
+<FONT color="green">850</FONT>             * Assert.fail("expecting NoSuchProviderException"); } catch<a name="line.850"></a>
+<FONT color="green">851</FONT>             * (NoSuchProviderException ex) { ; }<a name="line.851"></a>
+<FONT color="green">852</FONT>             */<a name="line.852"></a>
+<FONT color="green">853</FONT>    <a name="line.853"></a>
+<FONT color="green">854</FONT>            // test reseeding without first using the generators<a name="line.854"></a>
+<FONT color="green">855</FONT>            RandomDataGenerator rd = new RandomDataGenerator();<a name="line.855"></a>
+<FONT color="green">856</FONT>            rd.reSeed(100);<a name="line.856"></a>
+<FONT color="green">857</FONT>            rd.nextLong(1, 2);<a name="line.857"></a>
+<FONT color="green">858</FONT>            RandomDataGenerator rd2 = new RandomDataGenerator();<a name="line.858"></a>
+<FONT color="green">859</FONT>            rd2.reSeedSecure(2000);<a name="line.859"></a>
+<FONT color="green">860</FONT>            rd2.nextSecureLong(1, 2);<a name="line.860"></a>
+<FONT color="green">861</FONT>            rd = new RandomDataGenerator();<a name="line.861"></a>
+<FONT color="green">862</FONT>            rd.reSeed();<a name="line.862"></a>
+<FONT color="green">863</FONT>            rd.nextLong(1, 2);<a name="line.863"></a>
+<FONT color="green">864</FONT>            rd2 = new RandomDataGenerator();<a name="line.864"></a>
+<FONT color="green">865</FONT>            rd2.reSeedSecure();<a name="line.865"></a>
+<FONT color="green">866</FONT>            rd2.nextSecureLong(1, 2);<a name="line.866"></a>
+<FONT color="green">867</FONT>        }<a name="line.867"></a>
+<FONT color="green">868</FONT>    <a name="line.868"></a>
+<FONT color="green">869</FONT>        /** tests for nextSample() sampling from Collection */<a name="line.869"></a>
+<FONT color="green">870</FONT>        @Test<a name="line.870"></a>
+<FONT color="green">871</FONT>        public void testNextSample() {<a name="line.871"></a>
+<FONT color="green">872</FONT>            Object[][] c = { { "0", "1" }, { "0", "2" }, { "0", "3" },<a name="line.872"></a>
+<FONT color="green">873</FONT>                    { "0", "4" }, { "1", "2" }, { "1", "3" }, { "1", "4" },<a name="line.873"></a>
+<FONT color="green">874</FONT>                    { "2", "3" }, { "2", "4" }, { "3", "4" } };<a name="line.874"></a>
+<FONT color="green">875</FONT>            long[] observed = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };<a name="line.875"></a>
+<FONT color="green">876</FONT>            double[] expected = { 100, 100, 100, 100, 100, 100, 100, 100, 100, 100 };<a name="line.876"></a>
+<FONT color="green">877</FONT>    <a name="line.877"></a>
+<FONT color="green">878</FONT>            HashSet&lt;Object&gt; cPop = new HashSet&lt;Object&gt;(); // {0,1,2,3,4}<a name="line.878"></a>
+<FONT color="green">879</FONT>            for (int i = 0; i &lt; 5; i++) {<a name="line.879"></a>
+<FONT color="green">880</FONT>                cPop.add(Integer.toString(i));<a name="line.880"></a>
+<FONT color="green">881</FONT>            }<a name="line.881"></a>
+<FONT color="green">882</FONT>    <a name="line.882"></a>
+<FONT color="green">883</FONT>            Object[] sets = new Object[10]; // 2-sets from 5<a name="line.883"></a>
+<FONT color="green">884</FONT>            for (int i = 0; i &lt; 10; i++) {<a name="line.884"></a>
+<FONT color="green">885</FONT>                HashSet&lt;Object&gt; hs = new HashSet&lt;Object&gt;();<a name="line.885"></a>
+<FONT color="green">886</FONT>                hs.add(c[i][0]);<a name="line.886"></a>
+<FONT color="green">887</FONT>                hs.add(c[i][1]);<a name="line.887"></a>
+<FONT color="green">888</FONT>                sets[i] = hs;<a name="line.888"></a>
+<FONT color="green">889</FONT>            }<a name="line.889"></a>
+<FONT color="green">890</FONT>    <a name="line.890"></a>
+<FONT color="green">891</FONT>            for (int i = 0; i &lt; 1000; i++) {<a name="line.891"></a>
+<FONT color="green">892</FONT>                Object[] cSamp = randomData.nextSample(cPop, 2);<a name="line.892"></a>
+<FONT color="green">893</FONT>                observed[findSample(sets, cSamp)]++;<a name="line.893"></a>
+<FONT color="green">894</FONT>            }<a name="line.894"></a>
+<FONT color="green">895</FONT>    <a name="line.895"></a>
+<FONT color="green">896</FONT>            /*<a name="line.896"></a>
+<FONT color="green">897</FONT>             * Use ChiSquare dist with df = 10-1 = 9, alpha = .001 Change to 21.67<a name="line.897"></a>
+<FONT color="green">898</FONT>             * for alpha = .01<a name="line.898"></a>
+<FONT color="green">899</FONT>             */<a name="line.899"></a>
+<FONT color="green">900</FONT>            Assert.assertTrue("chi-square test -- will fail about 1 in 1000 times",<a name="line.900"></a>
+<FONT color="green">901</FONT>                    testStatistic.chiSquare(expected, observed) &lt; 27.88);<a name="line.901"></a>
+<FONT color="green">902</FONT>    <a name="line.902"></a>
+<FONT color="green">903</FONT>            // Make sure sample of size = size of collection returns same collection<a name="line.903"></a>
+<FONT color="green">904</FONT>            HashSet&lt;Object&gt; hs = new HashSet&lt;Object&gt;();<a name="line.904"></a>
+<FONT color="green">905</FONT>            hs.add("one");<a name="line.905"></a>
+<FONT color="green">906</FONT>            Object[] one = randomData.nextSample(hs, 1);<a name="line.906"></a>
+<FONT color="green">907</FONT>            String oneString = (String) one[0];<a name="line.907"></a>
+<FONT color="green">908</FONT>            if ((one.length != 1) || !oneString.equals("one")) {<a name="line.908"></a>
+<FONT color="green">909</FONT>                Assert.fail("bad sample for set size = 1, sample size = 1");<a name="line.909"></a>
+<FONT color="green">910</FONT>            }<a name="line.910"></a>
+<FONT color="green">911</FONT>    <a name="line.911"></a>
+<FONT color="green">912</FONT>            // Make sure we fail for sample size &gt; collection size<a name="line.912"></a>
+<FONT color="green">913</FONT>            try {<a name="line.913"></a>
+<FONT color="green">914</FONT>                one = randomData.nextSample(hs, 2);<a name="line.914"></a>
+<FONT color="green">915</FONT>                Assert.fail("sample size &gt; set size, expecting MathIllegalArgumentException");<a name="line.915"></a>
+<FONT color="green">916</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.916"></a>
+<FONT color="green">917</FONT>                // ignored<a name="line.917"></a>
+<FONT color="green">918</FONT>            }<a name="line.918"></a>
+<FONT color="green">919</FONT>    <a name="line.919"></a>
+<FONT color="green">920</FONT>            // Make sure we fail for empty collection<a name="line.920"></a>
+<FONT color="green">921</FONT>            try {<a name="line.921"></a>
+<FONT color="green">922</FONT>                hs = new HashSet&lt;Object&gt;();<a name="line.922"></a>
+<FONT color="green">923</FONT>                one = randomData.nextSample(hs, 0);<a name="line.923"></a>
+<FONT color="green">924</FONT>                Assert.fail("n = k = 0, expecting MathIllegalArgumentException");<a name="line.924"></a>
+<FONT color="green">925</FONT>            } catch (MathIllegalArgumentException ex) {<a name="line.925"></a>
+<FONT color="green">926</FONT>                // ignored<a name="line.926"></a>
+<FONT color="green">927</FONT>            }<a name="line.927"></a>
+<FONT color="green">928</FONT>        }<a name="line.928"></a>
+<FONT color="green">929</FONT>    <a name="line.929"></a>
+<FONT color="green">930</FONT>        @SuppressWarnings("unchecked")<a name="line.930"></a>
+<FONT color="green">931</FONT>        private int findSample(Object[] u, Object[] samp) {<a name="line.931"></a>

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