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Posted to commits@commons.apache.org by lu...@apache.org on 2014/10/18 22:10:40 UTC
svn commit: r926176 [12/31] - in
/websites/production/commons/content/proper/commons-math:
apidocs/org/apache/commons/math3/analysis/interpolation/
apidocs/org/apache/commons/math3/analysis/interpolation/class-use/
apidocs/org/apache/commons/math3/dist...
Added: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/stat/descriptive/rank/PSquarePercentile.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/stat/descriptive/rank/PSquarePercentile.html (added)
+++ websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/stat/descriptive/rank/PSquarePercentile.html Sat Oct 18 20:10:38 2014
@@ -0,0 +1,1068 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
+<html lang="fr">
+<head>
+<title>Source code</title>
+<link rel="stylesheet" type="text/css" href="../../../../../../../../stylesheet.css" title="Style">
+</head>
+<body>
+<div class="sourceContainer">
+<pre><span class="sourceLineNo">001</span>/*<a name="line.1"></a>
+<span class="sourceLineNo">002</span> * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
+<span class="sourceLineNo">003</span> * contributor license agreements. See the NOTICE file distributed with<a name="line.3"></a>
+<span class="sourceLineNo">004</span> * this work for additional information regarding copyright ownership.<a name="line.4"></a>
+<span class="sourceLineNo">005</span> * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
+<span class="sourceLineNo">006</span> * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
+<span class="sourceLineNo">007</span> * the License. You may obtain a copy of the License at<a name="line.7"></a>
+<span class="sourceLineNo">008</span> *<a name="line.8"></a>
+<span class="sourceLineNo">009</span> * http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
+<span class="sourceLineNo">010</span> *<a name="line.10"></a>
+<span class="sourceLineNo">011</span> * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
+<span class="sourceLineNo">012</span> * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
+<span class="sourceLineNo">013</span> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
+<span class="sourceLineNo">014</span> * See the License for the specific language governing permissions and<a name="line.14"></a>
+<span class="sourceLineNo">015</span> * limitations under the License.<a name="line.15"></a>
+<span class="sourceLineNo">016</span> */<a name="line.16"></a>
+<span class="sourceLineNo">017</span>package org.apache.commons.math3.stat.descriptive.rank;<a name="line.17"></a>
+<span class="sourceLineNo">018</span><a name="line.18"></a>
+<span class="sourceLineNo">019</span>import java.io.IOException;<a name="line.19"></a>
+<span class="sourceLineNo">020</span>import java.io.ObjectInputStream;<a name="line.20"></a>
+<span class="sourceLineNo">021</span>import java.io.Serializable;<a name="line.21"></a>
+<span class="sourceLineNo">022</span>import java.text.DecimalFormat;<a name="line.22"></a>
+<span class="sourceLineNo">023</span>import java.util.ArrayList;<a name="line.23"></a>
+<span class="sourceLineNo">024</span>import java.util.Arrays;<a name="line.24"></a>
+<span class="sourceLineNo">025</span>import java.util.Collection;<a name="line.25"></a>
+<span class="sourceLineNo">026</span>import java.util.Collections;<a name="line.26"></a>
+<span class="sourceLineNo">027</span>import java.util.List;<a name="line.27"></a>
+<span class="sourceLineNo">028</span><a name="line.28"></a>
+<span class="sourceLineNo">029</span>import org.apache.commons.math3.analysis.UnivariateFunction;<a name="line.29"></a>
+<span class="sourceLineNo">030</span>import org.apache.commons.math3.analysis.interpolation.LinearInterpolator;<a name="line.30"></a>
+<span class="sourceLineNo">031</span>import org.apache.commons.math3.analysis.interpolation.NevilleInterpolator;<a name="line.31"></a>
+<span class="sourceLineNo">032</span>import org.apache.commons.math3.analysis.interpolation.UnivariateInterpolator;<a name="line.32"></a>
+<span class="sourceLineNo">033</span>import org.apache.commons.math3.exception.InsufficientDataException;<a name="line.33"></a>
+<span class="sourceLineNo">034</span>import org.apache.commons.math3.exception.OutOfRangeException;<a name="line.34"></a>
+<span class="sourceLineNo">035</span>import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.35"></a>
+<span class="sourceLineNo">036</span>import org.apache.commons.math3.stat.descriptive.AbstractStorelessUnivariateStatistic;<a name="line.36"></a>
+<span class="sourceLineNo">037</span>import org.apache.commons.math3.stat.descriptive.StorelessUnivariateStatistic;<a name="line.37"></a>
+<span class="sourceLineNo">038</span>import org.apache.commons.math3.util.MathArrays;<a name="line.38"></a>
+<span class="sourceLineNo">039</span>import org.apache.commons.math3.util.MathUtils;<a name="line.39"></a>
+<span class="sourceLineNo">040</span>import org.apache.commons.math3.util.Precision;<a name="line.40"></a>
+<span class="sourceLineNo">041</span><a name="line.41"></a>
+<span class="sourceLineNo">042</span>/**<a name="line.42"></a>
+<span class="sourceLineNo">043</span> * A {@link StorelessUnivariateStatistic} estimating percentiles using the<a name="line.43"></a>
+<span class="sourceLineNo">044</span> * <ahref=http://www.cs.wustl.edu/~jain/papers/ftp/psqr.pdf>P<SUP>2</SUP></a><a name="line.44"></a>
+<span class="sourceLineNo">045</span> * Algorithm as explained by <a href=http://www.cse.wustl.edu/~jain/>Raj<a name="line.45"></a>
+<span class="sourceLineNo">046</span> * Jain</a> and Imrich Chlamtac in<a name="line.46"></a>
+<span class="sourceLineNo">047</span> * <a href=http://www.cse.wustl.edu/~jain/papers/psqr.htm>P<SUP>2</SUP> Algorithm<a name="line.47"></a>
+<span class="sourceLineNo">048</span> * for Dynamic Calculation of Quantiles and Histogram Without Storing<a name="line.48"></a>
+<span class="sourceLineNo">049</span> * Observations</a>.<a name="line.49"></a>
+<span class="sourceLineNo">050</span> * <p><a name="line.50"></a>
+<span class="sourceLineNo">051</span> * Note: This implementation is not synchronized and produces an approximate<a name="line.51"></a>
+<span class="sourceLineNo">052</span> * result. For small samples, where data can be stored and processed in memory,<a name="line.52"></a>
+<span class="sourceLineNo">053</span> * {@link Percentile} should be used.</p><a name="line.53"></a>
+<span class="sourceLineNo">054</span> *<a name="line.54"></a>
+<span class="sourceLineNo">055</span> */<a name="line.55"></a>
+<span class="sourceLineNo">056</span>public class PSquarePercentile extends AbstractStorelessUnivariateStatistic<a name="line.56"></a>
+<span class="sourceLineNo">057</span> implements StorelessUnivariateStatistic, Serializable {<a name="line.57"></a>
+<span class="sourceLineNo">058</span><a name="line.58"></a>
+<span class="sourceLineNo">059</span> /**<a name="line.59"></a>
+<span class="sourceLineNo">060</span> * The maximum array size used for psquare algorithm<a name="line.60"></a>
+<span class="sourceLineNo">061</span> */<a name="line.61"></a>
+<span class="sourceLineNo">062</span> private static final int PSQUARE_CONSTANT = 5;<a name="line.62"></a>
+<span class="sourceLineNo">063</span><a name="line.63"></a>
+<span class="sourceLineNo">064</span> /**<a name="line.64"></a>
+<span class="sourceLineNo">065</span> * A Default quantile needed in case if user prefers to use default no<a name="line.65"></a>
+<span class="sourceLineNo">066</span> * argument constructor.<a name="line.66"></a>
+<span class="sourceLineNo">067</span> */<a name="line.67"></a>
+<span class="sourceLineNo">068</span> private static final double DEFAULT_QUANTILE_DESIRED = 50d;<a name="line.68"></a>
+<span class="sourceLineNo">069</span><a name="line.69"></a>
+<span class="sourceLineNo">070</span> /**<a name="line.70"></a>
+<span class="sourceLineNo">071</span> * Serial ID<a name="line.71"></a>
+<span class="sourceLineNo">072</span> */<a name="line.72"></a>
+<span class="sourceLineNo">073</span> private static final long serialVersionUID = 2283912083175715479L;<a name="line.73"></a>
+<span class="sourceLineNo">074</span><a name="line.74"></a>
+<span class="sourceLineNo">075</span> /**<a name="line.75"></a>
+<span class="sourceLineNo">076</span> * A decimal formatter for print convenience<a name="line.76"></a>
+<span class="sourceLineNo">077</span> */<a name="line.77"></a>
+<span class="sourceLineNo">078</span> private static final DecimalFormat DECIMAL_FORMAT = new DecimalFormat(<a name="line.78"></a>
+<span class="sourceLineNo">079</span> "00.00");<a name="line.79"></a>
+<span class="sourceLineNo">080</span><a name="line.80"></a>
+<span class="sourceLineNo">081</span> /**<a name="line.81"></a>
+<span class="sourceLineNo">082</span> * Initial list of 5 numbers corresponding to 5 markers. <b>NOTE:</b>watch<a name="line.82"></a>
+<span class="sourceLineNo">083</span> * out for the add methods that are overloaded<a name="line.83"></a>
+<span class="sourceLineNo">084</span> */<a name="line.84"></a>
+<span class="sourceLineNo">085</span> private final List<Double> initialFive = new FixedCapacityList<Double>(<a name="line.85"></a>
+<span class="sourceLineNo">086</span> PSQUARE_CONSTANT);<a name="line.86"></a>
+<span class="sourceLineNo">087</span><a name="line.87"></a>
+<span class="sourceLineNo">088</span> /**<a name="line.88"></a>
+<span class="sourceLineNo">089</span> * The quantile needed should be in range of 0-1. The constructor<a name="line.89"></a>
+<span class="sourceLineNo">090</span> * {@link #PSquarePercentile(double)} ensures that passed in percentile is<a name="line.90"></a>
+<span class="sourceLineNo">091</span> * divided by 100.<a name="line.91"></a>
+<span class="sourceLineNo">092</span> */<a name="line.92"></a>
+<span class="sourceLineNo">093</span> private final double quantile;<a name="line.93"></a>
+<span class="sourceLineNo">094</span><a name="line.94"></a>
+<span class="sourceLineNo">095</span> /**<a name="line.95"></a>
+<span class="sourceLineNo">096</span> * lastObservation is the last observation value/input sample. No need to<a name="line.96"></a>
+<span class="sourceLineNo">097</span> * serialize<a name="line.97"></a>
+<span class="sourceLineNo">098</span> */<a name="line.98"></a>
+<span class="sourceLineNo">099</span> private transient double lastObservation;<a name="line.99"></a>
+<span class="sourceLineNo">100</span><a name="line.100"></a>
+<span class="sourceLineNo">101</span> /**<a name="line.101"></a>
+<span class="sourceLineNo">102</span> * Markers is the marker collection object which comes to effect<a name="line.102"></a>
+<span class="sourceLineNo">103</span> * only after 5 values are inserted<a name="line.103"></a>
+<span class="sourceLineNo">104</span> */<a name="line.104"></a>
+<span class="sourceLineNo">105</span> private PSquareMarkers markers = null;<a name="line.105"></a>
+<span class="sourceLineNo">106</span><a name="line.106"></a>
+<span class="sourceLineNo">107</span> /**<a name="line.107"></a>
+<span class="sourceLineNo">108</span> * Computed p value (i,e percentile value of data set hither to received)<a name="line.108"></a>
+<span class="sourceLineNo">109</span> */<a name="line.109"></a>
+<span class="sourceLineNo">110</span> private double pValue = Double.NaN;<a name="line.110"></a>
+<span class="sourceLineNo">111</span><a name="line.111"></a>
+<span class="sourceLineNo">112</span> /**<a name="line.112"></a>
+<span class="sourceLineNo">113</span> * Counter to count the values/observations accepted into this data set<a name="line.113"></a>
+<span class="sourceLineNo">114</span> */<a name="line.114"></a>
+<span class="sourceLineNo">115</span> private long countOfObservations;<a name="line.115"></a>
+<span class="sourceLineNo">116</span><a name="line.116"></a>
+<span class="sourceLineNo">117</span> /**<a name="line.117"></a>
+<span class="sourceLineNo">118</span> * Constructs a PSquarePercentile with the specific percentile value.<a name="line.118"></a>
+<span class="sourceLineNo">119</span> * @param p the percentile<a name="line.119"></a>
+<span class="sourceLineNo">120</span> * @throws OutOfRangeException if p is not greater than 0 and less<a name="line.120"></a>
+<span class="sourceLineNo">121</span> * than or equal to 100<a name="line.121"></a>
+<span class="sourceLineNo">122</span> */<a name="line.122"></a>
+<span class="sourceLineNo">123</span> public PSquarePercentile(final double p) {<a name="line.123"></a>
+<span class="sourceLineNo">124</span> if (p > 100 || p < 0) {<a name="line.124"></a>
+<span class="sourceLineNo">125</span> throw new OutOfRangeException(LocalizedFormats.OUT_OF_RANGE,<a name="line.125"></a>
+<span class="sourceLineNo">126</span> p, 0, 100);<a name="line.126"></a>
+<span class="sourceLineNo">127</span> }<a name="line.127"></a>
+<span class="sourceLineNo">128</span> this.quantile = p / 100d;// always set it within (0,1]<a name="line.128"></a>
+<span class="sourceLineNo">129</span> }<a name="line.129"></a>
+<span class="sourceLineNo">130</span><a name="line.130"></a>
+<span class="sourceLineNo">131</span> /**<a name="line.131"></a>
+<span class="sourceLineNo">132</span> * Default constructor that assumes a {@link #DEFAULT_QUANTILE_DESIRED<a name="line.132"></a>
+<span class="sourceLineNo">133</span> * default quantile} needed<a name="line.133"></a>
+<span class="sourceLineNo">134</span> */<a name="line.134"></a>
+<span class="sourceLineNo">135</span> PSquarePercentile() {<a name="line.135"></a>
+<span class="sourceLineNo">136</span> this(DEFAULT_QUANTILE_DESIRED);<a name="line.136"></a>
+<span class="sourceLineNo">137</span> }<a name="line.137"></a>
+<span class="sourceLineNo">138</span><a name="line.138"></a>
+<span class="sourceLineNo">139</span> /**<a name="line.139"></a>
+<span class="sourceLineNo">140</span> * {@inheritDoc}<a name="line.140"></a>
+<span class="sourceLineNo">141</span> */<a name="line.141"></a>
+<span class="sourceLineNo">142</span> @Override<a name="line.142"></a>
+<span class="sourceLineNo">143</span> public int hashCode() {<a name="line.143"></a>
+<span class="sourceLineNo">144</span> double result = getResult();<a name="line.144"></a>
+<span class="sourceLineNo">145</span> result = Double.isNaN(result) ? 37 : result;<a name="line.145"></a>
+<span class="sourceLineNo">146</span> final double markersHash = markers == null ? 0 : markers.hashCode();<a name="line.146"></a>
+<span class="sourceLineNo">147</span> final double[] toHash = {result, quantile, markersHash, countOfObservations};<a name="line.147"></a>
+<span class="sourceLineNo">148</span> return Arrays.hashCode(toHash);<a name="line.148"></a>
+<span class="sourceLineNo">149</span> }<a name="line.149"></a>
+<span class="sourceLineNo">150</span><a name="line.150"></a>
+<span class="sourceLineNo">151</span> /**<a name="line.151"></a>
+<span class="sourceLineNo">152</span> * Returns true iff {@code o} is a {@code PSquarePercentile} returning the<a name="line.152"></a>
+<span class="sourceLineNo">153</span> * same values as this for {@code getResult()} and {@code getN()} and also<a name="line.153"></a>
+<span class="sourceLineNo">154</span> * having equal markers<a name="line.154"></a>
+<span class="sourceLineNo">155</span> *<a name="line.155"></a>
+<span class="sourceLineNo">156</span> * @param o object to compare<a name="line.156"></a>
+<span class="sourceLineNo">157</span> * @return true if {@code o} is a {@code PSquarePercentile} with<a name="line.157"></a>
+<span class="sourceLineNo">158</span> * equivalent internal state<a name="line.158"></a>
+<span class="sourceLineNo">159</span> */<a name="line.159"></a>
+<span class="sourceLineNo">160</span> @Override<a name="line.160"></a>
+<span class="sourceLineNo">161</span> public boolean equals(Object o) {<a name="line.161"></a>
+<span class="sourceLineNo">162</span> boolean result = false;<a name="line.162"></a>
+<span class="sourceLineNo">163</span> if (this == o) {<a name="line.163"></a>
+<span class="sourceLineNo">164</span> result = true;<a name="line.164"></a>
+<span class="sourceLineNo">165</span> } else if (o != null && o instanceof PSquarePercentile) {<a name="line.165"></a>
+<span class="sourceLineNo">166</span> PSquarePercentile that = (PSquarePercentile) o;<a name="line.166"></a>
+<span class="sourceLineNo">167</span> boolean isNotNull = markers != null && that.markers != null;<a name="line.167"></a>
+<span class="sourceLineNo">168</span> boolean isNull = markers == null && that.markers == null;<a name="line.168"></a>
+<span class="sourceLineNo">169</span> result = isNotNull ? markers.equals(that.markers) : isNull;<a name="line.169"></a>
+<span class="sourceLineNo">170</span> // markers as in the case of first<a name="line.170"></a>
+<span class="sourceLineNo">171</span> // five observations<a name="line.171"></a>
+<span class="sourceLineNo">172</span> result = result && getN() == that.getN();<a name="line.172"></a>
+<span class="sourceLineNo">173</span> }<a name="line.173"></a>
+<span class="sourceLineNo">174</span> return result;<a name="line.174"></a>
+<span class="sourceLineNo">175</span> }<a name="line.175"></a>
+<span class="sourceLineNo">176</span><a name="line.176"></a>
+<span class="sourceLineNo">177</span> /**<a name="line.177"></a>
+<span class="sourceLineNo">178</span> * {@inheritDoc}The internal state updated due to the new value in this<a name="line.178"></a>
+<span class="sourceLineNo">179</span> * context is basically of the marker positions and computation of the<a name="line.179"></a>
+<span class="sourceLineNo">180</span> * approximate quantile.<a name="line.180"></a>
+<span class="sourceLineNo">181</span> *<a name="line.181"></a>
+<span class="sourceLineNo">182</span> * @param observation the observation currently being added.<a name="line.182"></a>
+<span class="sourceLineNo">183</span> */<a name="line.183"></a>
+<span class="sourceLineNo">184</span> @Override<a name="line.184"></a>
+<span class="sourceLineNo">185</span> public void increment(final double observation) {<a name="line.185"></a>
+<span class="sourceLineNo">186</span> // Increment counter<a name="line.186"></a>
+<span class="sourceLineNo">187</span> countOfObservations++;<a name="line.187"></a>
+<span class="sourceLineNo">188</span><a name="line.188"></a>
+<span class="sourceLineNo">189</span> // Store last observation<a name="line.189"></a>
+<span class="sourceLineNo">190</span> this.lastObservation = observation;<a name="line.190"></a>
+<span class="sourceLineNo">191</span><a name="line.191"></a>
+<span class="sourceLineNo">192</span> // 0. Use Brute force for <5<a name="line.192"></a>
+<span class="sourceLineNo">193</span> if (markers == null) {<a name="line.193"></a>
+<span class="sourceLineNo">194</span> if (initialFive.add(observation)) {<a name="line.194"></a>
+<span class="sourceLineNo">195</span> Collections.sort(initialFive);<a name="line.195"></a>
+<span class="sourceLineNo">196</span> pValue =<a name="line.196"></a>
+<span class="sourceLineNo">197</span> initialFive<a name="line.197"></a>
+<span class="sourceLineNo">198</span> .get((int) (quantile * (initialFive.size() - 1)));<a name="line.198"></a>
+<span class="sourceLineNo">199</span> return;<a name="line.199"></a>
+<span class="sourceLineNo">200</span> }<a name="line.200"></a>
+<span class="sourceLineNo">201</span> // 1. Initialize once after 5th observation<a name="line.201"></a>
+<span class="sourceLineNo">202</span> markers = newMarkers(initialFive, quantile);<a name="line.202"></a>
+<span class="sourceLineNo">203</span> }<a name="line.203"></a>
+<span class="sourceLineNo">204</span> // 2. process a Data Point and return pValue<a name="line.204"></a>
+<span class="sourceLineNo">205</span> pValue = markers.processDataPoint(observation);<a name="line.205"></a>
+<span class="sourceLineNo">206</span> }<a name="line.206"></a>
+<span class="sourceLineNo">207</span><a name="line.207"></a>
+<span class="sourceLineNo">208</span> /**<a name="line.208"></a>
+<span class="sourceLineNo">209</span> * Returns a string containing the last observation, the current estimate<a name="line.209"></a>
+<span class="sourceLineNo">210</span> * of the quantile and all markers.<a name="line.210"></a>
+<span class="sourceLineNo">211</span> *<a name="line.211"></a>
+<span class="sourceLineNo">212</span> * @return string representation of state data<a name="line.212"></a>
+<span class="sourceLineNo">213</span> */<a name="line.213"></a>
+<span class="sourceLineNo">214</span> @Override<a name="line.214"></a>
+<span class="sourceLineNo">215</span> public String toString() {<a name="line.215"></a>
+<span class="sourceLineNo">216</span><a name="line.216"></a>
+<span class="sourceLineNo">217</span> if (markers == null) {<a name="line.217"></a>
+<span class="sourceLineNo">218</span> return String.format("obs=%s pValue=%s",<a name="line.218"></a>
+<span class="sourceLineNo">219</span> DECIMAL_FORMAT.format(lastObservation),<a name="line.219"></a>
+<span class="sourceLineNo">220</span> DECIMAL_FORMAT.format(pValue));<a name="line.220"></a>
+<span class="sourceLineNo">221</span> } else {<a name="line.221"></a>
+<span class="sourceLineNo">222</span> return String.format("obs=%s markers=%s",<a name="line.222"></a>
+<span class="sourceLineNo">223</span> DECIMAL_FORMAT.format(lastObservation), markers.toString());<a name="line.223"></a>
+<span class="sourceLineNo">224</span> }<a name="line.224"></a>
+<span class="sourceLineNo">225</span> }<a name="line.225"></a>
+<span class="sourceLineNo">226</span><a name="line.226"></a>
+<span class="sourceLineNo">227</span> /**<a name="line.227"></a>
+<span class="sourceLineNo">228</span> * {@inheritDoc}<a name="line.228"></a>
+<span class="sourceLineNo">229</span> */<a name="line.229"></a>
+<span class="sourceLineNo">230</span> public long getN() {<a name="line.230"></a>
+<span class="sourceLineNo">231</span> return countOfObservations;<a name="line.231"></a>
+<span class="sourceLineNo">232</span> }<a name="line.232"></a>
+<span class="sourceLineNo">233</span><a name="line.233"></a>
+<span class="sourceLineNo">234</span> /**<a name="line.234"></a>
+<span class="sourceLineNo">235</span> * {@inheritDoc}<a name="line.235"></a>
+<span class="sourceLineNo">236</span> */<a name="line.236"></a>
+<span class="sourceLineNo">237</span> @Override<a name="line.237"></a>
+<span class="sourceLineNo">238</span> public StorelessUnivariateStatistic copy() {<a name="line.238"></a>
+<span class="sourceLineNo">239</span> // multiply quantile by 100 now as anyway constructor divides it by 100<a name="line.239"></a>
+<span class="sourceLineNo">240</span> PSquarePercentile copy = new PSquarePercentile(100d * quantile);<a name="line.240"></a>
+<span class="sourceLineNo">241</span><a name="line.241"></a>
+<span class="sourceLineNo">242</span> if (markers != null) {<a name="line.242"></a>
+<span class="sourceLineNo">243</span> copy.markers = (PSquareMarkers) markers.clone();<a name="line.243"></a>
+<span class="sourceLineNo">244</span> }<a name="line.244"></a>
+<span class="sourceLineNo">245</span> copy.countOfObservations = countOfObservations;<a name="line.245"></a>
+<span class="sourceLineNo">246</span> copy.pValue = pValue;<a name="line.246"></a>
+<span class="sourceLineNo">247</span> copy.initialFive.clear();<a name="line.247"></a>
+<span class="sourceLineNo">248</span> copy.initialFive.addAll(initialFive);<a name="line.248"></a>
+<span class="sourceLineNo">249</span> return copy;<a name="line.249"></a>
+<span class="sourceLineNo">250</span> }<a name="line.250"></a>
+<span class="sourceLineNo">251</span><a name="line.251"></a>
+<span class="sourceLineNo">252</span> /**<a name="line.252"></a>
+<span class="sourceLineNo">253</span> * Returns the quantile estimated by this statistic in the range [0.0-1.0]<a name="line.253"></a>
+<span class="sourceLineNo">254</span> *<a name="line.254"></a>
+<span class="sourceLineNo">255</span> * @return quantile estimated by {@link #getResult()}<a name="line.255"></a>
+<span class="sourceLineNo">256</span> */<a name="line.256"></a>
+<span class="sourceLineNo">257</span> public double quantile() {<a name="line.257"></a>
+<span class="sourceLineNo">258</span> return quantile;<a name="line.258"></a>
+<span class="sourceLineNo">259</span> }<a name="line.259"></a>
+<span class="sourceLineNo">260</span><a name="line.260"></a>
+<span class="sourceLineNo">261</span> /**<a name="line.261"></a>
+<span class="sourceLineNo">262</span> * {@inheritDoc}. This basically clears all the markers, the<a name="line.262"></a>
+<span class="sourceLineNo">263</span> * initialFive list and sets countOfObservations to 0.<a name="line.263"></a>
+<span class="sourceLineNo">264</span> */<a name="line.264"></a>
+<span class="sourceLineNo">265</span> @Override<a name="line.265"></a>
+<span class="sourceLineNo">266</span> public void clear() {<a name="line.266"></a>
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+<span class="sourceLineNo">270</span> pValue = Double.NaN;<a name="line.270"></a>
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+<span class="sourceLineNo">272</span><a name="line.272"></a>
+<span class="sourceLineNo">273</span> /**<a name="line.273"></a>
+<span class="sourceLineNo">274</span> * {@inheritDoc}<a name="line.274"></a>
+<span class="sourceLineNo">275</span> */<a name="line.275"></a>
+<span class="sourceLineNo">276</span> @Override<a name="line.276"></a>
+<span class="sourceLineNo">277</span> public double getResult() {<a name="line.277"></a>
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+<span class="sourceLineNo">280</span> } else if (Double.compare(quantile, 0d) == 0) {<a name="line.280"></a>
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+<span class="sourceLineNo">282</span> }<a name="line.282"></a>
+<span class="sourceLineNo">283</span> return pValue;<a name="line.283"></a>
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+<span class="sourceLineNo">285</span><a name="line.285"></a>
+<span class="sourceLineNo">286</span> /**<a name="line.286"></a>
+<span class="sourceLineNo">287</span> * @return maximum in the data set added to this statistic<a name="line.287"></a>
+<span class="sourceLineNo">288</span> */<a name="line.288"></a>
+<span class="sourceLineNo">289</span> private double maximum() {<a name="line.289"></a>
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+<span class="sourceLineNo">293</span> } else if (!initialFive.isEmpty()) {<a name="line.293"></a>
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+<span class="sourceLineNo">295</span> }<a name="line.295"></a>
+<span class="sourceLineNo">296</span> return val;<a name="line.296"></a>
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+<span class="sourceLineNo">298</span><a name="line.298"></a>
+<span class="sourceLineNo">299</span> /**<a name="line.299"></a>
+<span class="sourceLineNo">300</span> * @return minimum in the data set added to this statistic<a name="line.300"></a>
+<span class="sourceLineNo">301</span> */<a name="line.301"></a>
+<span class="sourceLineNo">302</span> private double minimum() {<a name="line.302"></a>
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+<span class="sourceLineNo">306</span> } else if (!initialFive.isEmpty()) {<a name="line.306"></a>
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+<span class="sourceLineNo">308</span> }<a name="line.308"></a>
+<span class="sourceLineNo">309</span> return val;<a name="line.309"></a>
+<span class="sourceLineNo">310</span> }<a name="line.310"></a>
+<span class="sourceLineNo">311</span><a name="line.311"></a>
+<span class="sourceLineNo">312</span> /**<a name="line.312"></a>
+<span class="sourceLineNo">313</span> * Markers is an encapsulation of the five markers/buckets as indicated in<a name="line.313"></a>
+<span class="sourceLineNo">314</span> * the original works.<a name="line.314"></a>
+<span class="sourceLineNo">315</span> */<a name="line.315"></a>
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+<span class="sourceLineNo">317</span> /**<a name="line.317"></a>
+<span class="sourceLineNo">318</span> * Serial version id<a name="line.318"></a>
+<span class="sourceLineNo">319</span> */<a name="line.319"></a>
+<span class="sourceLineNo">320</span> private static final long serialVersionUID = 1L;<a name="line.320"></a>
+<span class="sourceLineNo">321</span><a name="line.321"></a>
+<span class="sourceLineNo">322</span> /** Low marker index */<a name="line.322"></a>
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+<span class="sourceLineNo">324</span><a name="line.324"></a>
+<span class="sourceLineNo">325</span> /** High marker index */<a name="line.325"></a>
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+<span class="sourceLineNo">327</span><a name="line.327"></a>
+<span class="sourceLineNo">328</span> /**<a name="line.328"></a>
+<span class="sourceLineNo">329</span> * Array of 5+1 Markers (The first marker is dummy just so we<a name="line.329"></a>
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+<span class="sourceLineNo">331</span> * which follows unit based index)<a name="line.331"></a>
+<span class="sourceLineNo">332</span> */<a name="line.332"></a>
+<span class="sourceLineNo">333</span> private final Marker[] markerArray;<a name="line.333"></a>
+<span class="sourceLineNo">334</span><a name="line.334"></a>
+<span class="sourceLineNo">335</span> /**<a name="line.335"></a>
+<span class="sourceLineNo">336</span> * Kth cell belonging to [1-5] of the markerArray. No need for<a name="line.336"></a>
+<span class="sourceLineNo">337</span> * this to be serialized<a name="line.337"></a>
+<span class="sourceLineNo">338</span> */<a name="line.338"></a>
+<span class="sourceLineNo">339</span> private transient int k = -1;<a name="line.339"></a>
+<span class="sourceLineNo">340</span><a name="line.340"></a>
+<span class="sourceLineNo">341</span> /**<a name="line.341"></a>
+<span class="sourceLineNo">342</span> * Constructor<a name="line.342"></a>
+<span class="sourceLineNo">343</span> *<a name="line.343"></a>
+<span class="sourceLineNo">344</span> * @param theMarkerArray marker array to be used<a name="line.344"></a>
+<span class="sourceLineNo">345</span> */<a name="line.345"></a>
+<span class="sourceLineNo">346</span> private Markers(final Marker[] theMarkerArray) {<a name="line.346"></a>
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+<span class="sourceLineNo">348</span> markerArray = theMarkerArray;<a name="line.348"></a>
+<span class="sourceLineNo">349</span> for (int i = 1; i < PSQUARE_CONSTANT; i++) {<a name="line.349"></a>
+<span class="sourceLineNo">350</span> markerArray[i].previous(markerArray[i - 1])<a name="line.350"></a>
+<span class="sourceLineNo">351</span> .next(markerArray[i + 1]).index(i);<a name="line.351"></a>
+<span class="sourceLineNo">352</span> }<a name="line.352"></a>
+<span class="sourceLineNo">353</span> markerArray[0].previous(markerArray[0]).next(markerArray[1])<a name="line.353"></a>
+<span class="sourceLineNo">354</span> .index(0);<a name="line.354"></a>
+<span class="sourceLineNo">355</span> markerArray[5].previous(markerArray[4]).next(markerArray[5])<a name="line.355"></a>
+<span class="sourceLineNo">356</span> .index(5);<a name="line.356"></a>
+<span class="sourceLineNo">357</span> }<a name="line.357"></a>
+<span class="sourceLineNo">358</span><a name="line.358"></a>
+<span class="sourceLineNo">359</span> /**<a name="line.359"></a>
+<span class="sourceLineNo">360</span> * Constructor<a name="line.360"></a>
+<span class="sourceLineNo">361</span> *<a name="line.361"></a>
+<span class="sourceLineNo">362</span> * @param initialFive elements required to build Marker<a name="line.362"></a>
+<span class="sourceLineNo">363</span> * @param p quantile required to be computed<a name="line.363"></a>
+<span class="sourceLineNo">364</span> */<a name="line.364"></a>
+<span class="sourceLineNo">365</span> private Markers(final List<Double> initialFive, final double p) {<a name="line.365"></a>
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+<span class="sourceLineNo">368</span><a name="line.368"></a>
+<span class="sourceLineNo">369</span> /**<a name="line.369"></a>
+<span class="sourceLineNo">370</span> * Creates a marker array using initial five elements and a quantile<a name="line.370"></a>
+<span class="sourceLineNo">371</span> *<a name="line.371"></a>
+<span class="sourceLineNo">372</span> * @param initialFive list of initial five elements<a name="line.372"></a>
+<span class="sourceLineNo">373</span> * @param p the pth quantile<a name="line.373"></a>
+<span class="sourceLineNo">374</span> * @return Marker array<a name="line.374"></a>
+<span class="sourceLineNo">375</span> */<a name="line.375"></a>
+<span class="sourceLineNo">376</span> private static Marker[] createMarkerArray(<a name="line.376"></a>
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+<span class="sourceLineNo">378</span> final int countObserved =<a name="line.378"></a>
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+<span class="sourceLineNo">380</span> if (countObserved < PSQUARE_CONSTANT) {<a name="line.380"></a>
+<span class="sourceLineNo">381</span> throw new InsufficientDataException(<a name="line.381"></a>
+<span class="sourceLineNo">382</span> LocalizedFormats.INSUFFICIENT_OBSERVED_POINTS_IN_SAMPLE,<a name="line.382"></a>
+<span class="sourceLineNo">383</span> countObserved, PSQUARE_CONSTANT);<a name="line.383"></a>
+<span class="sourceLineNo">384</span> }<a name="line.384"></a>
+<span class="sourceLineNo">385</span> Collections.sort(initialFive);<a name="line.385"></a>
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+<span class="sourceLineNo">387</span> new Marker(),// Null Marker<a name="line.387"></a>
+<span class="sourceLineNo">388</span> new Marker(initialFive.get(0), 1, 0, 1),<a name="line.388"></a>
+<span class="sourceLineNo">389</span> new Marker(initialFive.get(1), 1 + 2 * p, p / 2, 2),<a name="line.389"></a>
+<span class="sourceLineNo">390</span> new Marker(initialFive.get(2), 1 + 4 * p, p, 3),<a name="line.390"></a>
+<span class="sourceLineNo">391</span> new Marker(initialFive.get(3), 3 + 2 * p, (1 + p) / 2, 4),<a name="line.391"></a>
+<span class="sourceLineNo">392</span> new Marker(initialFive.get(4), 5, 1, 5) };<a name="line.392"></a>
+<span class="sourceLineNo">393</span> }<a name="line.393"></a>
+<span class="sourceLineNo">394</span><a name="line.394"></a>
+<span class="sourceLineNo">395</span> /**<a name="line.395"></a>
+<span class="sourceLineNo">396</span> * {@inheritDoc}<a name="line.396"></a>
+<span class="sourceLineNo">397</span> */<a name="line.397"></a>
+<span class="sourceLineNo">398</span> @Override<a name="line.398"></a>
+<span class="sourceLineNo">399</span> public int hashCode() {<a name="line.399"></a>
+<span class="sourceLineNo">400</span> return Arrays.deepHashCode(markerArray);<a name="line.400"></a>
+<span class="sourceLineNo">401</span> }<a name="line.401"></a>
+<span class="sourceLineNo">402</span><a name="line.402"></a>
+<span class="sourceLineNo">403</span> /**<a name="line.403"></a>
+<span class="sourceLineNo">404</span> * {@inheritDoc}.This equals method basically checks for marker array to<a name="line.404"></a>
+<span class="sourceLineNo">405</span> * be deep equals.<a name="line.405"></a>
+<span class="sourceLineNo">406</span> *<a name="line.406"></a>
+<span class="sourceLineNo">407</span> * @param o is the other object<a name="line.407"></a>
+<span class="sourceLineNo">408</span> * @return true if the object compares with this object are equivalent<a name="line.408"></a>
+<span class="sourceLineNo">409</span> */<a name="line.409"></a>
+<span class="sourceLineNo">410</span> @Override<a name="line.410"></a>
+<span class="sourceLineNo">411</span> public boolean equals(Object o) {<a name="line.411"></a>
+<span class="sourceLineNo">412</span> boolean result = false;<a name="line.412"></a>
+<span class="sourceLineNo">413</span> if (this == o) {<a name="line.413"></a>
+<span class="sourceLineNo">414</span> result = true;<a name="line.414"></a>
+<span class="sourceLineNo">415</span> } else if (o != null && o instanceof Markers) {<a name="line.415"></a>
+<span class="sourceLineNo">416</span> Markers that = (Markers) o;<a name="line.416"></a>
+<span class="sourceLineNo">417</span> result = Arrays.deepEquals(markerArray, that.markerArray);<a name="line.417"></a>
+<span class="sourceLineNo">418</span> }<a name="line.418"></a>
+<span class="sourceLineNo">419</span> return result;<a name="line.419"></a>
+<span class="sourceLineNo">420</span> }<a name="line.420"></a>
+<span class="sourceLineNo">421</span><a name="line.421"></a>
+<span class="sourceLineNo">422</span> /**<a name="line.422"></a>
+<span class="sourceLineNo">423</span> * Process a data point<a name="line.423"></a>
+<span class="sourceLineNo">424</span> *<a name="line.424"></a>
+<span class="sourceLineNo">425</span> * @param inputDataPoint is the data point passed<a name="line.425"></a>
+<span class="sourceLineNo">426</span> * @return computed percentile<a name="line.426"></a>
+<span class="sourceLineNo">427</span> */<a name="line.427"></a>
+<span class="sourceLineNo">428</span> public double processDataPoint(final double inputDataPoint) {<a name="line.428"></a>
+<span class="sourceLineNo">429</span><a name="line.429"></a>
+<span class="sourceLineNo">430</span> // 1. Find cell and update minima and maxima<a name="line.430"></a>
+<span class="sourceLineNo">431</span> final int kthCell = findCellAndUpdateMinMax(inputDataPoint);<a name="line.431"></a>
+<span class="sourceLineNo">432</span><a name="line.432"></a>
+<span class="sourceLineNo">433</span> // 2. Increment positions<a name="line.433"></a>
+<span class="sourceLineNo">434</span> incrementPositions(1, kthCell + 1, 5);<a name="line.434"></a>
+<span class="sourceLineNo">435</span><a name="line.435"></a>
+<span class="sourceLineNo">436</span> // 2a. Update desired position with increments<a name="line.436"></a>
+<span class="sourceLineNo">437</span> updateDesiredPositions();<a name="line.437"></a>
+<span class="sourceLineNo">438</span><a name="line.438"></a>
+<span class="sourceLineNo">439</span> // 3. Adjust heights of m[2-4] if necessary<a name="line.439"></a>
+<span class="sourceLineNo">440</span> adjustHeightsOfMarkers();<a name="line.440"></a>
+<span class="sourceLineNo">441</span><a name="line.441"></a>
+<span class="sourceLineNo">442</span> // 4. Return percentile<a name="line.442"></a>
+<span class="sourceLineNo">443</span> return getPercentileValue();<a name="line.443"></a>
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+<span class="sourceLineNo">445</span><a name="line.445"></a>
+<span class="sourceLineNo">446</span> /**<a name="line.446"></a>
+<span class="sourceLineNo">447</span> * Returns the percentile computed thus far.<a name="line.447"></a>
+<span class="sourceLineNo">448</span> *<a name="line.448"></a>
+<span class="sourceLineNo">449</span> * @return height of mid point marker<a name="line.449"></a>
+<span class="sourceLineNo">450</span> */<a name="line.450"></a>
+<span class="sourceLineNo">451</span> public double getPercentileValue() {<a name="line.451"></a>
+<span class="sourceLineNo">452</span> return height(3);<a name="line.452"></a>
+<span class="sourceLineNo">453</span> }<a name="line.453"></a>
+<span class="sourceLineNo">454</span><a name="line.454"></a>
+<span class="sourceLineNo">455</span> /**<a name="line.455"></a>
+<span class="sourceLineNo">456</span> * Finds the cell where the input observation / value fits.<a name="line.456"></a>
+<span class="sourceLineNo">457</span> *<a name="line.457"></a>
+<span class="sourceLineNo">458</span> * @param observation the input value to be checked for<a name="line.458"></a>
+<span class="sourceLineNo">459</span> * @return kth cell (of the markers ranging from 1-5) where observed<a name="line.459"></a>
+<span class="sourceLineNo">460</span> * sample fits<a name="line.460"></a>
+<span class="sourceLineNo">461</span> */<a name="line.461"></a>
+<span class="sourceLineNo">462</span> private int findCellAndUpdateMinMax(final double observation) {<a name="line.462"></a>
+<span class="sourceLineNo">463</span> k = -1;<a name="line.463"></a>
+<span class="sourceLineNo">464</span> if (observation < height(1)) {<a name="line.464"></a>
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+<span class="sourceLineNo">466</span> k = 1;<a name="line.466"></a>
+<span class="sourceLineNo">467</span> } else if (observation < height(2)) {<a name="line.467"></a>
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+<span class="sourceLineNo">472</span> k = 3;<a name="line.472"></a>
+<span class="sourceLineNo">473</span> } else if (observation <= height(5)) {<a name="line.473"></a>
+<span class="sourceLineNo">474</span> k = 4;<a name="line.474"></a>
+<span class="sourceLineNo">475</span> } else {<a name="line.475"></a>
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+<span class="sourceLineNo">477</span> k = 4;<a name="line.477"></a>
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+<span class="sourceLineNo">479</span> return k;<a name="line.479"></a>
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+<span class="sourceLineNo">481</span><a name="line.481"></a>
+<span class="sourceLineNo">482</span> /**<a name="line.482"></a>
+<span class="sourceLineNo">483</span> * Adjust marker heights by setting quantile estimates to middle markers.<a name="line.483"></a>
+<span class="sourceLineNo">484</span> */<a name="line.484"></a>
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+<span class="sourceLineNo">489</span> }<a name="line.489"></a>
+<span class="sourceLineNo">490</span><a name="line.490"></a>
+<span class="sourceLineNo">491</span> /**<a name="line.491"></a>
+<span class="sourceLineNo">492</span> * {@inheritDoc}<a name="line.492"></a>
+<span class="sourceLineNo">493</span> */<a name="line.493"></a>
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+<span class="sourceLineNo">500</span><a name="line.500"></a>
+<span class="sourceLineNo">501</span> /**<a name="line.501"></a>
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+<span class="sourceLineNo">537</span> // Build links<a name="line.537"></a>
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+<span class="sourceLineNo">608</span><a name="line.608"></a>
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+<span class="sourceLineNo">633</span> /**<a name="line.633"></a>
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+<span class="sourceLineNo">643</span><a name="line.643"></a>
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+<span class="sourceLineNo">649</span><a name="line.649"></a>
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+<span class="sourceLineNo">663</span> /**<a name="line.663"></a>
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+<span class="sourceLineNo">680</span> /**<a name="line.680"></a>
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+<span class="sourceLineNo">684</span> * the array of markers<a name="line.684"></a>
+<span class="sourceLineNo">685</span> * @return this instance<a name="line.685"></a>
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+<span class="sourceLineNo">693</span> /**<a name="line.693"></a>
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+<span class="sourceLineNo">753</span><a name="line.753"></a>
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[... 127 lines stripped ...]