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+<!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.util;<a
name="line.17"></a>
+<span class="sourceLineNo">018</span><a name="line.18"></a>
+<span class="sourceLineNo">019</span>import java.io.Serializable;<a
name="line.19"></a>
+<span class="sourceLineNo">020</span><a name="line.20"></a>
+<span class="sourceLineNo">021</span>import
org.apache.commons.math3.exception.MathIllegalArgumentException;<a
name="line.21"></a>
+<span class="sourceLineNo">022</span><a name="line.22"></a>
+<span class="sourceLineNo">023</span><a name="line.23"></a>
+<span class="sourceLineNo">024</span>/**<a name="line.24"></a>
+<span class="sourceLineNo">025</span> * A mid point strategy based on the
average of begin and end indices.<a name="line.25"></a>
+<span class="sourceLineNo">026</span> * @since 3.4<a name="line.26"></a>
+<span class="sourceLineNo">027</span> */<a name="line.27"></a>
+<span class="sourceLineNo">028</span>public class CentralPivotingStrategy
implements PivotingStrategyInterface, Serializable {<a name="line.28"></a>
+<span class="sourceLineNo">029</span><a name="line.29"></a>
+<span class="sourceLineNo">030</span> /** Serializable UID. */<a
name="line.30"></a>
+<span class="sourceLineNo">031</span> private static final long
serialVersionUID = 20140713L;<a name="line.31"></a>
+<span class="sourceLineNo">032</span><a name="line.32"></a>
+<span class="sourceLineNo">033</span> /**<a name="line.33"></a>
+<span class="sourceLineNo">034</span> * {@inheritDoc}<a name="line.34"></a>
+<span class="sourceLineNo">035</span> * This in particular picks a average
of begin and end indices<a name="line.35"></a>
+<span class="sourceLineNo">036</span> * @return The index corresponding to
a simple average of<a name="line.36"></a>
+<span class="sourceLineNo">037</span> * the first and the last element
indices of the array slice<a name="line.37"></a>
+<span class="sourceLineNo">038</span> * @throws
MathIllegalArgumentException when indices exceeds range<a name="line.38"></a>
+<span class="sourceLineNo">039</span> */<a name="line.39"></a>
+<span class="sourceLineNo">040</span> public int pivotIndex(final double[]
work, final int begin, final int end)<a name="line.40"></a>
+<span class="sourceLineNo">041</span> throws
MathIllegalArgumentException {<a name="line.41"></a>
+<span class="sourceLineNo">042</span> MathArrays.verifyValues(work,
begin, end-begin);<a name="line.42"></a>
+<span class="sourceLineNo">043</span> return begin + (end - begin)/2;<a
name="line.43"></a>
+<span class="sourceLineNo">044</span> }<a name="line.44"></a>
+<span class="sourceLineNo">045</span><a name="line.45"></a>
+<span class="sourceLineNo">046</span>}<a name="line.46"></a>
+
+
+
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+
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+
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+
+
+
+
+</pre>
+</div>
+</body>
+</html>
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websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/util/KthSelector.html
Sat Oct 18 20:10:38 2014
@@ -0,0 +1,229 @@
+<!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.util;<a
name="line.17"></a>
+<span class="sourceLineNo">018</span><a name="line.18"></a>
+<span class="sourceLineNo">019</span>import java.io.Serializable;<a
name="line.19"></a>
+<span class="sourceLineNo">020</span>import java.util.Arrays;<a
name="line.20"></a>
+<span class="sourceLineNo">021</span><a name="line.21"></a>
+<span class="sourceLineNo">022</span>import
org.apache.commons.math3.exception.NullArgumentException;<a name="line.22"></a>
+<span class="sourceLineNo">023</span><a name="line.23"></a>
+<span class="sourceLineNo">024</span><a name="line.24"></a>
+<span class="sourceLineNo">025</span>/**<a name="line.25"></a>
+<span class="sourceLineNo">026</span> * A Simple K<sup>th</sup>
selector implementation to pick up the<a name="line.26"></a>
+<span class="sourceLineNo">027</span> * K<sup>th</sup> ordered
element from a work array containing the input<a name="line.27"></a>
+<span class="sourceLineNo">028</span> * numbers.<a name="line.28"></a>
+<span class="sourceLineNo">029</span> * @since 3.4<a name="line.29"></a>
+<span class="sourceLineNo">030</span> */<a name="line.30"></a>
+<span class="sourceLineNo">031</span>public class KthSelector implements
Serializable {<a name="line.31"></a>
+<span class="sourceLineNo">032</span><a name="line.32"></a>
+<span class="sourceLineNo">033</span> /** Serializable UID. */<a
name="line.33"></a>
+<span class="sourceLineNo">034</span> private static final long
serialVersionUID = 20140713L;<a name="line.34"></a>
+<span class="sourceLineNo">035</span><a name="line.35"></a>
+<span class="sourceLineNo">036</span> /** Minimum selection size for
insertion sort rather than selection. */<a name="line.36"></a>
+<span class="sourceLineNo">037</span> private static final int
MIN_SELECT_SIZE = 15;<a name="line.37"></a>
+<span class="sourceLineNo">038</span><a name="line.38"></a>
+<span class="sourceLineNo">039</span> /** A {@link
PivotingStrategyInterface} used for pivoting */<a name="line.39"></a>
+<span class="sourceLineNo">040</span> private final
PivotingStrategyInterface pivotingStrategy;<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> * Constructor with default {@link
MedianOf3PivotingStrategy median of 3} pivoting strategy<a name="line.43"></a>
+<span class="sourceLineNo">044</span> */<a name="line.44"></a>
+<span class="sourceLineNo">045</span> public KthSelector() {<a
name="line.45"></a>
+<span class="sourceLineNo">046</span> this.pivotingStrategy = new
MedianOf3PivotingStrategy();<a name="line.46"></a>
+<span class="sourceLineNo">047</span> }<a name="line.47"></a>
+<span class="sourceLineNo">048</span><a name="line.48"></a>
+<span class="sourceLineNo">049</span> /**<a name="line.49"></a>
+<span class="sourceLineNo">050</span> * Constructor with specified
pivoting strategy<a name="line.50"></a>
+<span class="sourceLineNo">051</span> *<a name="line.51"></a>
+<span class="sourceLineNo">052</span> * @param pivotingStrategy pivoting
strategy to use<a name="line.52"></a>
+<span class="sourceLineNo">053</span> * @throws NullArgumentException when
pivotingStrategy is null<a name="line.53"></a>
+<span class="sourceLineNo">054</span> * @see MedianOf3PivotingStrategy<a
name="line.54"></a>
+<span class="sourceLineNo">055</span> * @see RandomPivotingStrategy<a
name="line.55"></a>
+<span class="sourceLineNo">056</span> * @see CentralPivotingStrategy<a
name="line.56"></a>
+<span class="sourceLineNo">057</span> */<a name="line.57"></a>
+<span class="sourceLineNo">058</span> public KthSelector(final
PivotingStrategyInterface pivotingStrategy)<a name="line.58"></a>
+<span class="sourceLineNo">059</span> throws NullArgumentException {<a
name="line.59"></a>
+<span class="sourceLineNo">060</span>
MathUtils.checkNotNull(pivotingStrategy);<a name="line.60"></a>
+<span class="sourceLineNo">061</span> this.pivotingStrategy =
pivotingStrategy;<a name="line.61"></a>
+<span class="sourceLineNo">062</span> }<a name="line.62"></a>
+<span class="sourceLineNo">063</span><a name="line.63"></a>
+<span class="sourceLineNo">064</span> /** Get the pivotin strategy.<a
name="line.64"></a>
+<span class="sourceLineNo">065</span> * @return pivoting strategy<a
name="line.65"></a>
+<span class="sourceLineNo">066</span> */<a name="line.66"></a>
+<span class="sourceLineNo">067</span> public PivotingStrategyInterface
getPivotingStrategy() {<a name="line.67"></a>
+<span class="sourceLineNo">068</span> return pivotingStrategy;<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> /**<a name="line.71"></a>
+<span class="sourceLineNo">072</span> * Select K<sup>th</sup>
value in the array.<a name="line.72"></a>
+<span class="sourceLineNo">073</span> *<a name="line.73"></a>
+<span class="sourceLineNo">074</span> * @param work work array to use to
find out the K<sup>th</sup> value<a name="line.74"></a>
+<span class="sourceLineNo">075</span> * @param pivotsHeap cached pivots
heap that can be used for efficient estimation<a name="line.75"></a>
+<span class="sourceLineNo">076</span> * @param k the index whose value in
the array is of interest<a name="line.76"></a>
+<span class="sourceLineNo">077</span> * @return K<sup>th</sup>
value<a name="line.77"></a>
+<span class="sourceLineNo">078</span> */<a name="line.78"></a>
+<span class="sourceLineNo">079</span> public double select(final double[]
work, final int[] pivotsHeap, final int k) {<a name="line.79"></a>
+<span class="sourceLineNo">080</span> int begin = 0;<a
name="line.80"></a>
+<span class="sourceLineNo">081</span> int end = work.length;<a
name="line.81"></a>
+<span class="sourceLineNo">082</span> int node = 0;<a
name="line.82"></a>
+<span class="sourceLineNo">083</span> final boolean usePivotsHeap =
pivotsHeap != null;<a name="line.83"></a>
+<span class="sourceLineNo">084</span> while (end - begin >
MIN_SELECT_SIZE) {<a name="line.84"></a>
+<span class="sourceLineNo">085</span> final int pivot;<a
name="line.85"></a>
+<span class="sourceLineNo">086</span><a name="line.86"></a>
+<span class="sourceLineNo">087</span> if (usePivotsHeap &&
node < pivotsHeap.length &&<a name="line.87"></a>
+<span class="sourceLineNo">088</span> pivotsHeap[node]
>= 0) {<a name="line.88"></a>
+<span class="sourceLineNo">089</span> // the pivot has already
been found in a previous call<a name="line.89"></a>
+<span class="sourceLineNo">090</span> // and the array has
already been partitioned around it<a name="line.90"></a>
+<span class="sourceLineNo">091</span> pivot =
pivotsHeap[node];<a name="line.91"></a>
+<span class="sourceLineNo">092</span> } else {<a name="line.92"></a>
+<span class="sourceLineNo">093</span> // select a pivot and
partition work array around it<a name="line.93"></a>
+<span class="sourceLineNo">094</span> pivot = partition(work,
begin, end, pivotingStrategy.pivotIndex(work, begin, end));<a
name="line.94"></a>
+<span class="sourceLineNo">095</span> if (usePivotsHeap
&& node < pivotsHeap.length) {<a name="line.95"></a>
+<span class="sourceLineNo">096</span> pivotsHeap[node] =
pivot;<a name="line.96"></a>
+<span class="sourceLineNo">097</span> }<a name="line.97"></a>
+<span class="sourceLineNo">098</span> }<a name="line.98"></a>
+<span class="sourceLineNo">099</span><a name="line.99"></a>
+<span class="sourceLineNo">100</span> if (k == pivot) {<a
name="line.100"></a>
+<span class="sourceLineNo">101</span> // the pivot was exactly
the element we wanted<a name="line.101"></a>
+<span class="sourceLineNo">102</span> return work[k];<a
name="line.102"></a>
+<span class="sourceLineNo">103</span> } else if (k < pivot) {<a
name="line.103"></a>
+<span class="sourceLineNo">104</span> // the element is in the
left partition<a name="line.104"></a>
+<span class="sourceLineNo">105</span> end = pivot;<a
name="line.105"></a>
+<span class="sourceLineNo">106</span> node = FastMath.min(2 *
node + 1, usePivotsHeap ? pivotsHeap.length : end);<a name="line.106"></a>
+<span class="sourceLineNo">107</span> } else {<a
name="line.107"></a>
+<span class="sourceLineNo">108</span> // the element is in the
right partition<a name="line.108"></a>
+<span class="sourceLineNo">109</span> begin = pivot + 1;<a
name="line.109"></a>
+<span class="sourceLineNo">110</span> node = FastMath.min(2 *
node + 2, usePivotsHeap ? pivotsHeap.length : end);<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> Arrays.sort(work, begin, end);<a
name="line.113"></a>
+<span class="sourceLineNo">114</span> return work[k];<a
name="line.114"></a>
+<span class="sourceLineNo">115</span> }<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> * Partition an array slice around a
pivot.Partitioning exchanges array<a name="line.118"></a>
+<span class="sourceLineNo">119</span> * elements such that all elements
smaller than pivot are before it and<a name="line.119"></a>
+<span class="sourceLineNo">120</span> * all elements larger than pivot are
after it.<a name="line.120"></a>
+<span class="sourceLineNo">121</span> *<a name="line.121"></a>
+<span class="sourceLineNo">122</span> * @param work work array<a
name="line.122"></a>
+<span class="sourceLineNo">123</span> * @param begin index of the first
element of the slice of work array<a name="line.123"></a>
+<span class="sourceLineNo">124</span> * @param end index after the last
element of the slice of work array<a name="line.124"></a>
+<span class="sourceLineNo">125</span> * @param pivot initial index of the
pivot<a name="line.125"></a>
+<span class="sourceLineNo">126</span> * @return index of the pivot after
partition<a name="line.126"></a>
+<span class="sourceLineNo">127</span> */<a name="line.127"></a>
+<span class="sourceLineNo">128</span> private int partition(final double[]
work, final int begin, final int end, final int pivot) {<a name="line.128"></a>
+<span class="sourceLineNo">129</span><a name="line.129"></a>
+<span class="sourceLineNo">130</span> final double value =
work[pivot];<a name="line.130"></a>
+<span class="sourceLineNo">131</span> work[pivot] = work[begin];<a
name="line.131"></a>
+<span class="sourceLineNo">132</span><a name="line.132"></a>
+<span class="sourceLineNo">133</span> int i = begin + 1;<a
name="line.133"></a>
+<span class="sourceLineNo">134</span> int j = end - 1;<a
name="line.134"></a>
+<span class="sourceLineNo">135</span> while (i < j) {<a
name="line.135"></a>
+<span class="sourceLineNo">136</span> while (i < j &&
work[j] > value) {<a name="line.136"></a>
+<span class="sourceLineNo">137</span> --j;<a
name="line.137"></a>
+<span class="sourceLineNo">138</span> }<a name="line.138"></a>
+<span class="sourceLineNo">139</span> while (i < j &&
work[i] < value) {<a name="line.139"></a>
+<span class="sourceLineNo">140</span> ++i;<a
name="line.140"></a>
+<span class="sourceLineNo">141</span> }<a name="line.141"></a>
+<span class="sourceLineNo">142</span><a name="line.142"></a>
+<span class="sourceLineNo">143</span> if (i < j) {<a
name="line.143"></a>
+<span class="sourceLineNo">144</span> final double tmp =
work[i];<a name="line.144"></a>
+<span class="sourceLineNo">145</span> work[i++] = work[j];<a
name="line.145"></a>
+<span class="sourceLineNo">146</span> work[j--] = tmp;<a
name="line.146"></a>
+<span class="sourceLineNo">147</span> }<a name="line.147"></a>
+<span class="sourceLineNo">148</span> }<a name="line.148"></a>
+<span class="sourceLineNo">149</span><a name="line.149"></a>
+<span class="sourceLineNo">150</span> if (i >= end || work[i] >
value) {<a name="line.150"></a>
+<span class="sourceLineNo">151</span> --i;<a name="line.151"></a>
+<span class="sourceLineNo">152</span> }<a name="line.152"></a>
+<span class="sourceLineNo">153</span> work[begin] = work[i];<a
name="line.153"></a>
+<span class="sourceLineNo">154</span> work[i] = value;<a
name="line.154"></a>
+<span class="sourceLineNo">155</span> return i;<a name="line.155"></a>
+<span class="sourceLineNo">156</span> }<a name="line.156"></a>
+<span class="sourceLineNo">157</span>}<a name="line.157"></a>
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+</div>
+</body>
+</html>
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+<!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.util;<a
name="line.17"></a>
+<span class="sourceLineNo">018</span><a name="line.18"></a>
+<span class="sourceLineNo">019</span>import java.io.Serializable;<a
name="line.19"></a>
+<span class="sourceLineNo">020</span><a name="line.20"></a>
+<span class="sourceLineNo">021</span>import
org.apache.commons.math3.exception.MathIllegalArgumentException;<a
name="line.21"></a>
+<span class="sourceLineNo">022</span><a name="line.22"></a>
+<span class="sourceLineNo">023</span><a name="line.23"></a>
+<span class="sourceLineNo">024</span>/**<a name="line.24"></a>
+<span class="sourceLineNo">025</span> * Classic median of 3 strategy given
begin and end indices.<a name="line.25"></a>
+<span class="sourceLineNo">026</span> * @since 3.4<a name="line.26"></a>
+<span class="sourceLineNo">027</span> */<a name="line.27"></a>
+<span class="sourceLineNo">028</span>public class MedianOf3PivotingStrategy
implements PivotingStrategyInterface, Serializable {<a name="line.28"></a>
+<span class="sourceLineNo">029</span><a name="line.29"></a>
+<span class="sourceLineNo">030</span> /** Serializable UID. */<a
name="line.30"></a>
+<span class="sourceLineNo">031</span> private static final long
serialVersionUID = 20140713L;<a name="line.31"></a>
+<span class="sourceLineNo">032</span><a name="line.32"></a>
+<span class="sourceLineNo">033</span> /**{@inheritDoc}<a name="line.33"></a>
+<span class="sourceLineNo">034</span> * This in specific makes use of
median of 3 pivoting.<a name="line.34"></a>
+<span class="sourceLineNo">035</span> * @return The index corresponding to
a pivot chosen between the<a name="line.35"></a>
+<span class="sourceLineNo">036</span> * first, middle and the last indices
of the array slice<a name="line.36"></a>
+<span class="sourceLineNo">037</span> * @throws
MathIllegalArgumentException when indices exceeds range<a name="line.37"></a>
+<span class="sourceLineNo">038</span> */<a name="line.38"></a>
+<span class="sourceLineNo">039</span> public int pivotIndex(final double[]
work, final int begin, final int end)<a name="line.39"></a>
+<span class="sourceLineNo">040</span> throws
MathIllegalArgumentException {<a name="line.40"></a>
+<span class="sourceLineNo">041</span> MathArrays.verifyValues(work,
begin, end-begin);<a name="line.41"></a>
+<span class="sourceLineNo">042</span> final int inclusiveEnd = end -
1;<a name="line.42"></a>
+<span class="sourceLineNo">043</span> final int middle = begin +
(inclusiveEnd - begin) / 2;<a name="line.43"></a>
+<span class="sourceLineNo">044</span> final double wBegin =
work[begin];<a name="line.44"></a>
+<span class="sourceLineNo">045</span> final double wMiddle =
work[middle];<a name="line.45"></a>
+<span class="sourceLineNo">046</span> final double wEnd =
work[inclusiveEnd];<a name="line.46"></a>
+<span class="sourceLineNo">047</span><a name="line.47"></a>
+<span class="sourceLineNo">048</span> if (wBegin < wMiddle) {<a
name="line.48"></a>
+<span class="sourceLineNo">049</span> if (wMiddle < wEnd) {<a
name="line.49"></a>
+<span class="sourceLineNo">050</span> return middle;<a
name="line.50"></a>
+<span class="sourceLineNo">051</span> } else {<a name="line.51"></a>
+<span class="sourceLineNo">052</span> return wBegin < wEnd ?
inclusiveEnd : begin;<a name="line.52"></a>
+<span class="sourceLineNo">053</span> }<a name="line.53"></a>
+<span class="sourceLineNo">054</span> } else {<a name="line.54"></a>
+<span class="sourceLineNo">055</span> if (wBegin < wEnd) {<a
name="line.55"></a>
+<span class="sourceLineNo">056</span> return begin;<a
name="line.56"></a>
+<span class="sourceLineNo">057</span> } else {<a name="line.57"></a>
+<span class="sourceLineNo">058</span> return wMiddle < wEnd
? inclusiveEnd : middle;<a name="line.58"></a>
+<span class="sourceLineNo">059</span> }<a name="line.59"></a>
+<span class="sourceLineNo">060</span> }<a name="line.60"></a>
+<span class="sourceLineNo">061</span> }<a name="line.61"></a>
+<span class="sourceLineNo">062</span><a name="line.62"></a>
+<span class="sourceLineNo">063</span>}<a name="line.63"></a>
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+</div>
+</body>
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Sat Oct 18 20:10:38 2014
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+<!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.util;<a
name="line.17"></a>
+<span class="sourceLineNo">018</span><a name="line.18"></a>
+<span class="sourceLineNo">019</span>import
org.apache.commons.math3.exception.MathIllegalArgumentException;<a
name="line.19"></a>
+<span class="sourceLineNo">020</span><a name="line.20"></a>
+<span class="sourceLineNo">021</span><a name="line.21"></a>
+<span class="sourceLineNo">022</span>/**<a name="line.22"></a>
+<span class="sourceLineNo">023</span> * A strategy to pick a pivoting index of
an array for doing partitioning.<a name="line.23"></a>
+<span class="sourceLineNo">024</span> * @see MedianOf3PivotingStrategy<a
name="line.24"></a>
+<span class="sourceLineNo">025</span> * @see RandomPivotingStrategy<a
name="line.25"></a>
+<span class="sourceLineNo">026</span> * @see CentralPivotingStrategy<a
name="line.26"></a>
+<span class="sourceLineNo">027</span> * @since 3.4<a name="line.27"></a>
+<span class="sourceLineNo">028</span> */<a name="line.28"></a>
+<span class="sourceLineNo">029</span>public interface
PivotingStrategyInterface {<a name="line.29"></a>
+<span class="sourceLineNo">030</span><a name="line.30"></a>
+<span class="sourceLineNo">031</span> /**<a name="line.31"></a>
+<span class="sourceLineNo">032</span> * Find pivot index of the array so
that partition and K<sup>th</sup><a name="line.32"></a>
+<span class="sourceLineNo">033</span> * element selection can be made<a
name="line.33"></a>
+<span class="sourceLineNo">034</span> * @param work data array<a
name="line.34"></a>
+<span class="sourceLineNo">035</span> * @param begin index of the first
element of the slice<a name="line.35"></a>
+<span class="sourceLineNo">036</span> * @param end index after the last
element of the slice<a name="line.36"></a>
+<span class="sourceLineNo">037</span> * @return the index of the pivot
element chosen between the<a name="line.37"></a>
+<span class="sourceLineNo">038</span> * first and the last element of the
array slice<a name="line.38"></a>
+<span class="sourceLineNo">039</span> * @throws
MathIllegalArgumentException when indices exceeds range<a name="line.39"></a>
+<span class="sourceLineNo">040</span> */<a name="line.40"></a>
+<span class="sourceLineNo">041</span> int pivotIndex(double[] work, int
begin, int end)<a name="line.41"></a>
+<span class="sourceLineNo">042</span> throws
MathIllegalArgumentException;<a name="line.42"></a>
+<span class="sourceLineNo">043</span><a name="line.43"></a>
+<span class="sourceLineNo">044</span>}<a name="line.44"></a>
+
+
+
+
+
+
+
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+
+
+
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+
+
+
+
+
+
+</pre>
+</div>
+</body>
+</html>
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Sat Oct 18 20:10:38 2014
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+<!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.util;<a
name="line.17"></a>
+<span class="sourceLineNo">018</span><a name="line.18"></a>
+<span class="sourceLineNo">019</span>import java.io.Serializable;<a
name="line.19"></a>
+<span class="sourceLineNo">020</span><a name="line.20"></a>
+<span class="sourceLineNo">021</span>import
org.apache.commons.math3.exception.MathIllegalArgumentException;<a
name="line.21"></a>
+<span class="sourceLineNo">022</span>import
org.apache.commons.math3.random.RandomGenerator;<a name="line.22"></a>
+<span class="sourceLineNo">023</span><a name="line.23"></a>
+<span class="sourceLineNo">024</span><a name="line.24"></a>
+<span class="sourceLineNo">025</span>/**<a name="line.25"></a>
+<span class="sourceLineNo">026</span> * A strategy of selecting random index
between begin and end indices.<a name="line.26"></a>
+<span class="sourceLineNo">027</span> * @since 3.4<a name="line.27"></a>
+<span class="sourceLineNo">028</span> */<a name="line.28"></a>
+<span class="sourceLineNo">029</span>public class RandomPivotingStrategy
implements PivotingStrategyInterface, Serializable {<a name="line.29"></a>
+<span class="sourceLineNo">030</span><a name="line.30"></a>
+<span class="sourceLineNo">031</span> /** Serializable UID. */<a
name="line.31"></a>
+<span class="sourceLineNo">032</span> private static final long
serialVersionUID = 20140713L;<a name="line.32"></a>
+<span class="sourceLineNo">033</span><a name="line.33"></a>
+<span class="sourceLineNo">034</span> /** Random generator to use for
selecting pivot. */<a name="line.34"></a>
+<span class="sourceLineNo">035</span> private final RandomGenerator
random;<a name="line.35"></a>
+<span class="sourceLineNo">036</span><a name="line.36"></a>
+<span class="sourceLineNo">037</span> /** Simple constructor.<a
name="line.37"></a>
+<span class="sourceLineNo">038</span> * @param random random generator to
use for selecting pivot<a name="line.38"></a>
+<span class="sourceLineNo">039</span> */<a name="line.39"></a>
+<span class="sourceLineNo">040</span> public RandomPivotingStrategy(final
RandomGenerator random) {<a name="line.40"></a>
+<span class="sourceLineNo">041</span> this.random = random;<a
name="line.41"></a>
+<span class="sourceLineNo">042</span> }<a name="line.42"></a>
+<span class="sourceLineNo">043</span><a name="line.43"></a>
+<span class="sourceLineNo">044</span> /**<a name="line.44"></a>
+<span class="sourceLineNo">045</span> * {@inheritDoc}<a name="line.45"></a>
+<span class="sourceLineNo">046</span> * A uniform random pivot selection
between begin and end indices<a name="line.46"></a>
+<span class="sourceLineNo">047</span> * @return The index corresponding to
a random uniformly selected<a name="line.47"></a>
+<span class="sourceLineNo">048</span> * value between first and the last
indices of the array slice<a name="line.48"></a>
+<span class="sourceLineNo">049</span> * @throws
MathIllegalArgumentException when indices exceeds range<a name="line.49"></a>
+<span class="sourceLineNo">050</span> */<a name="line.50"></a>
+<span class="sourceLineNo">051</span> public int pivotIndex(final double[]
work, final int begin, final int end)<a name="line.51"></a>
+<span class="sourceLineNo">052</span> throws
MathIllegalArgumentException {<a name="line.52"></a>
+<span class="sourceLineNo">053</span> MathArrays.verifyValues(work,
begin, end-begin);<a name="line.53"></a>
+<span class="sourceLineNo">054</span> return begin + random.nextInt(end
- begin - 1);<a name="line.54"></a>
+<span class="sourceLineNo">055</span> }<a name="line.55"></a>
+<span class="sourceLineNo">056</span><a name="line.56"></a>
+<span class="sourceLineNo">057</span>}<a name="line.57"></a>
+
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+
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+</pre>
+</div>
+</body>
+</html>
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<span
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onclick="toggleSort(this)">Cov.</td><td class="sortable ctr1" id="f"
onclick="toggleSort(this)">Missed</td><td class="sortable ctr2" id="g"
onclick="toggleSort(this)">Cxty</td><td class="sortable ctr1" id="h"
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class="bar">27 of 529</td><td class="ctr2">95%</td><td class="bar">3 of
26</td><td class="ctr2">88%</td><td class="ctr1">3</t
d><td class="ctr2">17</td><td class="ctr1">3</td><td class="ctr2">54</td><td
class="ctr1">0</td><td class="ctr2">4</td></tr></tfoot><tbody><tr><td
id="a3"><a href="AkimaSplineInterpolator.java.html#L187"
class="el_method">interpolateHermiteSorted(double[], double[],
double[])</a></td><td class="bar" id="b0"><img src="../.resources/redbar.gif"
width="11" height="10" title="27" alt="27"/><img
src="../.resources/greenbar.gif" width="54" height="10" title="132"
alt="132"/></td><td class="ctr2" id="c3">83%</td><td class="bar" id="d0"><img
src="../.resources/redbar.gif" width="20" height="10" title="3" alt="3"/><img
src="../.resources/greenbar.gif" width="33" height="10" title="5"
alt="5"/></td><td class="ctr2" id="e1">62%</td><td class="ctr1"
id="f0">3</td><td class="ctr2" id="g1">5</td><td class="ctr1" id="h0">3</td><td
class="ctr2" id="i1">19</td><td class="ctr1" id="j0">0</td><td class="ctr2"
id="k0">1</td></tr><tr><td id="a2"><a
href="AkimaSplineInterpolator.java.html#L81" class="el_
method">interpolate(double[], double[])</a></td><td class="bar" id="b1"><img
src="../.resources/greenbar.gif" width="120" height="10" title="291"
alt="291"/></td><td class="ctr2" id="c0">100%</td><td class="bar" id="d1"><img
src="../.resources/greenbar.gif" width="120" height="10" title="18"
alt="18"/></td><td class="ctr2" id="e0">100%</td><td class="ctr1"
id="f1">0</td><td class="ctr2" id="g0">10</td><td class="ctr1"
id="h1">0</td><td class="ctr2" id="i0">24</td><td class="ctr1"
id="j1">0</td><td class="ctr2" id="k1">1</td></tr><tr><td id="a1"><a
href="AkimaSplineInterpolator.java.html#L161"
class="el_method">differentiateThreePoint(double[], double[], int, int, int,
int)</a></td><td class="bar" id="b2"><img src="../.resources/greenbar.gif"
width="31" height="10" title="76" alt="76"/></td><td class="ctr2"
id="c1">100%</td><td class="bar" id="d2"/><td class="ctr2" id="e2">n/a</td><td
class="ctr1" id="f2">0</td><td class="ctr2" id="g2">1</td><td class="ctr1"
id="h2">0</td><td class="
ctr2" id="i2">9</td><td class="ctr1" id="j2">0</td><td class="ctr2"
id="k2">1</td></tr><tr><td id="a0"><a
href="AkimaSplineInterpolator.java.html#L61"
class="el_method">AkimaSplineInterpolator()</a></td><td class="bar"
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class="ctr2" id="e3">n/a</td><td class="ctr1" id="f3">0</td><td class="ctr2"
id="g3">1</td><td class="ctr1" id="h3">0</td><td class="ctr2" id="i3">2</td><td
class="ctr1" id="j3">0</td><td class="ctr2"
id="k3">1</td></tr></tbody></table><div class="footer"><span
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+<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML
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<span class="el_source">Ak
imaSplineInterpolator.java</span></div><h1>AkimaSplineInterpolator.java</h1><pre
class="source lang-java linenums">/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance
with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.math3.analysis.interpolation;
+
+import org.apache.commons.math3.analysis.polynomials.PolynomialFunction;
+import org.apache.commons.math3.analysis.polynomials.PolynomialSplineFunction;
+import org.apache.commons.math3.exception.DimensionMismatchException;
+import org.apache.commons.math3.exception.NonMonotonicSequenceException;
+import org.apache.commons.math3.exception.NullArgumentException;
+import org.apache.commons.math3.exception.NumberIsTooSmallException;
+import org.apache.commons.math3.exception.util.LocalizedFormats;
+import org.apache.commons.math3.util.FastMath;
+import org.apache.commons.math3.util.MathArrays;
+import org.apache.commons.math3.util.Precision;
+
+/**
+ * Computes a cubic spline interpolation for the data set using the Akima
+ * algorithm, as originally formulated by Hiroshi Akima in his 1970 paper
+ * "A New Method of Interpolation and Smooth Curve Fitting Based on Local
Procedures."
+ * J. ACM 17, 4 (October 1970), 589-602. DOI=10.1145/321607.321609
+ * http://doi.acm.org/10.1145/321607.321609
+ * <p>
+ * This implementation is based on the Akima implementation in the CubicSpline
+ * class in the Math.NET Numerics library. The method referenced is
+ * CubicSpline.InterpolateAkimaSorted
+ * <p>
+ * The {@link #interpolate(double[], double[])} method returns a
+ * {@link PolynomialSplineFunction} consisting of n cubic polynomials, defined
+ * over the subintervals determined by the x values, x[0] < x[i] ... <
x[n]. The
+ * Akima algorithm requires that n >= 5.
+ * </p>
+ * <p>
+ */
+
+public class AkimaSplineInterpolator
+ implements UnivariateInterpolator {
+
+
+ /**
+ * The minimum number of points that are needed to compute the function
+ */
+ public static final int MINIMUM_NUMBER_POINTS = 5;
+
+ /**
+ * Default constructor. Builds an AkimaSplineInterpolator object
+ */
+<span class="fc" id="L61"> public AkimaSplineInterpolator() {</span>
+
+<span class="fc" id="L63"> }</span>
+
+ /**
+ * Computes an interpolating function for the data set.
+ *
+ * @param xvals the arguments for the interpolation points
+ * @param yvals the values for the interpolation points
+ * @return a function which interpolates the data set
+ * @throws DimensionMismatchException if {@code x} and {@code y} have
+ * different sizes.
+ * @throws NonMonotonicSequenceException if {@code x} is not sorted in
+ * strict increasing order.
+ * @throws NumberIsTooSmallException if the size of {@code x} is smaller
+ * than 5.
+ */
+ public PolynomialSplineFunction interpolate(double[] xvals, double[] yvals)
+ throws DimensionMismatchException, NumberIsTooSmallException,
+ NonMonotonicSequenceException {
+<span class="fc bfc" id="L81" title="All 4 branches covered."> if
(xvals == null || yvals == null) {</span>
+<span class="fc" id="L82"> throw new NullArgumentException();</span>
+ }
+
+<span class="fc bfc" id="L85" title="All 2 branches covered."> if
(xvals.length != yvals.length) {</span>
+<span class="fc" id="L86"> throw new
DimensionMismatchException(xvals.length, yvals.length);</span>
+ }
+
+<span class="fc bfc" id="L89" title="All 2 branches covered."> if
(xvals.length < MINIMUM_NUMBER_POINTS) {</span>
+<span class="fc" id="L90"> throw new
NumberIsTooSmallException(</span>
+
LocalizedFormats.NUMBER_OF_POINTS,
+ xvals.length,
+ MINIMUM_NUMBER_POINTS, true);
+ }
+
+<span class="fc" id="L96"> MathArrays.checkOrder(xvals);</span>
+
+<span class="fc" id="L98"> final int numberOfDiffAndWeightElements =
xvals.length - 1;</span>
+
+<span class="fc" id="L100"> double differences[] = new
double[numberOfDiffAndWeightElements];</span>
+<span class="fc" id="L101"> double weights[] = new
double[numberOfDiffAndWeightElements];</span>
+
+<span class="fc bfc" id="L103" title="All 2 branches covered."> for
(int i = 0; i < differences.length; i++) {</span>
+<span class="fc" id="L104"> differences[i] = (yvals[i + 1] -
yvals[i]) /</span>
+ (xvals[i + 1] - xvals[i]);
+ }
+
+<span class="fc bfc" id="L108" title="All 2 branches covered."> for
(int i = 1; i < weights.length; i++) {</span>
+<span class="fc" id="L109"> weights[i] =
FastMath.abs(differences[i] - differences[i - 1]);</span>
+ }
+
+ /* Prepare Hermite interpolation scheme */
+
+<span class="fc" id="L114"> double firstDerivatives[] = new
double[xvals.length];</span>
+
+<span class="fc bfc" id="L116" title="All 2 branches covered."> for
(int i = 2; i < firstDerivatives.length - 2; i++) {</span>
+<span class="fc bfc" id="L117" title="All 4 branches covered."> if
(Precision.equals(weights[i - 1], 0.0) &&</span>
+ Precision.equals(weights[i + 1], 0.0)) {
+<span class="fc" id="L119"> firstDerivatives[i] = (((xvals[i +
1] - xvals[i]) * differences[i - 1]) + ((xvals[i] - xvals[i - 1]) *
differences[i])) /</span>
+ (xvals[i + 1] - xvals[i - 1]);
+ } else {
+<span class="fc" id="L122"> firstDerivatives[i] = ((weights[i +
1] * differences[i - 1]) + (weights[i - 1] * differences[i])) /</span>
+ (weights[i + 1] + weights[i - 1]);
+ }
+ }
+
+<span class="fc" id="L127"> firstDerivatives[0] =
this.differentiateThreePoint(xvals, yvals, 0, 0,</span>
+ 1, 2);
+<span class="fc" id="L129"> firstDerivatives[1] =
this.differentiateThreePoint(xvals, yvals, 1, 0,</span>
+ 1, 2);
+<span class="fc" id="L131"> firstDerivatives[xvals.length - 2] =
this</span>
+ .differentiateThreePoint(xvals, yvals, xvals.length - 2,
+ xvals.length - 3, xvals.length - 2,
+ xvals.length - 1);
+<span class="fc" id="L135"> firstDerivatives[xvals.length - 1] =
this</span>
+ .differentiateThreePoint(xvals, yvals, xvals.length - 1,
+ xvals.length - 3, xvals.length - 2,
+ xvals.length - 1);
+
+<span class="fc" id="L140"> return this.interpolateHermiteSorted(xvals,
yvals, firstDerivatives);</span>
+ }
+
+ /**
+ * Three point differentiation helper, modeled off of the same method in
the
+ * Math.NET CubicSpline class. This is used by both the Apache Math and the
+ * Math.NET Akima Cubic Spline algorithms
+ *
+ * @param xvals x values to calculate the numerical derivative with
+ * @param yvals y values to calculate the numerical derivative with
+ * @param indexOfDifferentiation index of the elemnt we are calculating
the derivative around
+ * @param indexOfFirstSample index of the first element to sample for the
three point method
+ * @param indexOfSecondsample index of the second element to sample for
the three point method
+ * @param indexOfThirdSample index of the third element to sample for the
three point method
+ * @return the derivative
+ */
+ private double differentiateThreePoint(double[] xvals, double[] yvals,
+ int indexOfDifferentiation,
+ int indexOfFirstSample,
+ int indexOfSecondsample,
+ int indexOfThirdSample) {
+<span class="fc" id="L161"> double x0 =
yvals[indexOfFirstSample];</span>
+<span class="fc" id="L162"> double x1 =
yvals[indexOfSecondsample];</span>
+<span class="fc" id="L163"> double x2 =
yvals[indexOfThirdSample];</span>
+
+<span class="fc" id="L165"> double t = xvals[indexOfDifferentiation] -
xvals[indexOfFirstSample];</span>
+<span class="fc" id="L166"> double t1 = xvals[indexOfSecondsample] -
xvals[indexOfFirstSample];</span>
+<span class="fc" id="L167"> double t2 = xvals[indexOfThirdSample] -
xvals[indexOfFirstSample];</span>
+
+<span class="fc" id="L169"> double a = (x2 - x0 - (t2 / t1 * (x1 -
x0))) / (t2 * t2 - t1 * t2);</span>
+<span class="fc" id="L170"> double b = (x1 - x0 - a * t1 * t1) /
t1;</span>
+<span class="fc" id="L171"> return (2 * a * t) + b;</span>
+ }
+
+ /**
+ * Creates a Hermite cubic spline interpolation from the set of (x,y) value
+ * pairs and their derivatives. This is modeled off of the
+ * InterpolateHermiteSorted method in the Math.NET CubicSpline class.
+ *
+ * @param xvals x values for interpolation
+ * @param yvals y values for interpolation
+ * @param firstDerivatives first derivative values of the function
+ * @return polynomial that fits the function
+ */
+ private PolynomialSplineFunction interpolateHermiteSorted(double[] xvals,
+ double[] yvals,
+ double[]
firstDerivatives) {
+<span class="pc bpc" id="L187" title="1 of 2 branches missed."> if
(xvals.length != yvals.length) {</span>
+<span class="nc" id="L188"> throw new
DimensionMismatchException(xvals.length, yvals.length);</span>
+ }
+
+<span class="pc bpc" id="L191" title="1 of 2 branches missed."> if
(xvals.length != firstDerivatives.length) {</span>
+<span class="nc" id="L192"> throw new
DimensionMismatchException(xvals.length,</span>
+ firstDerivatives.length);
+ }
+
+<span class="fc" id="L196"> final int minimumLength = 2;</span>
+<span class="pc bpc" id="L197" title="1 of 2 branches missed."> if
(xvals.length < minimumLength) {</span>
+<span class="nc" id="L198"> throw new
NumberIsTooSmallException(</span>
+
LocalizedFormats.NUMBER_OF_POINTS,
+ xvals.length, minimumLength,
+ true);
+ }
+
+<span class="fc" id="L204"> int size = xvals.length - 1;</span>
+<span class="fc" id="L205"> final PolynomialFunction polynomials[] =
new PolynomialFunction[size];</span>
+<span class="fc" id="L206"> final double coefficients[] = new
double[4];</span>
+
+<span class="fc bfc" id="L208" title="All 2 branches covered."> for
(int i = 0; i < polynomials.length; i++) {</span>
+<span class="fc" id="L209"> double w = xvals[i + 1] -
xvals[i];</span>
+<span class="fc" id="L210"> double w2 = w * w;</span>
+<span class="fc" id="L211"> coefficients[0] = yvals[i];</span>
+<span class="fc" id="L212"> coefficients[1] =
firstDerivatives[i];</span>
+<span class="fc" id="L213"> coefficients[2] = (3 * (yvals[i + 1] -
yvals[i]) / w - 2 *</span>
+ firstDerivatives[i] - firstDerivatives[i + 1]) /
+ w;
+<span class="fc" id="L216"> coefficients[3] = (2 * (yvals[i] -
yvals[i + 1]) / w +</span>
+ firstDerivatives[i] + firstDerivatives[i + 1]) /
+ w2;
+<span class="fc" id="L219"> polynomials[i] = new
PolynomialFunction(coefficients);</span>
+ }
+
+<span class="fc" id="L222"> return new PolynomialSplineFunction(xvals,
polynomials);</span>
+
+ }
+}
+</pre><div class="footer"><span class="right">Created with <a
href="http://www.eclemma.org/jacoco";>JaCoCo</a>
0.7.0.201403182114</span></div></body></html>
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websites/production/commons/content/proper/commons-math/jacoco/org.apache.commons.math3.distribution/ConstantRealDistribution.html
(added)
+++
websites/production/commons/content/proper/commons-math/jacoco/org.apache.commons.math3.distribution/ConstantRealDistribution.html
Sat Oct 18 20:10:38 2014
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+<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML
1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd";><html
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class="bar">2 of 67</td><td class="ctr2">97%</td><td class="bar">0 of
8</td><td class="ctr2">100%</td><td class="ctr1">1</td><td cla
ss="ctr2">17</td><td class="ctr1">1</td><td class="ctr2">17</td><td
class="ctr1">1</td><td class="ctr2">13</td></tr></tfoot><tbody><tr><td
id="a8"><a href="ConstantRealDistribution.java.html#L106"
class="el_method">isSupportConnected()</a></td><td class="bar" id="b0"><img
src="../.resources/redbar.gif" width="11" height="10" title="2"
alt="2"/></td><td class="ctr2" id="c12">0%</td><td class="bar" id="d3"/><td
class="ctr2" id="e3">n/a</td><td class="ctr1" id="f0">1</td><td class="ctr2"
id="g3">1</td><td class="ctr1" id="h0">1</td><td class="ctr2" id="i2">1</td><td
class="ctr1" id="j0">1</td><td class="ctr2" id="k0">1</td></tr><tr><td
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id="b1"><img src="../.resources/greenbar.gif" width="120" height="10"
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id="d0"><img src="../.resources/greenbar.gif" width="120" height="10" titl
e="4" alt="4"/></td><td class="ctr2" id="e0">100%</td><td class="ctr1"
id="f1">0</td><td class="ctr2" id="g0">3</td><td class="ctr1" id="h1">0</td><td
class="ctr2" id="i0">3</td><td class="ctr1" id="j1">0</td><td class="ctr2"
id="k1">1</td></tr><tr><td id="a2"><a
href="ConstantRealDistribution.java.html#L47"
class="el_method">density(double)</a></td><td class="bar" id="b2"><img
src="../.resources/greenbar.gif" width="51" height="10" title="9"
alt="9"/></td><td class="ctr2" id="c1">100%</td><td class="bar" id="d1"><img
src="../.resources/greenbar.gif" width="60" height="10" title="2"
alt="2"/></td><td class="ctr2" id="e1">100%</td><td class="ctr1"
id="f2">0</td><td class="ctr2" id="g1">2</td><td class="ctr1" id="h2">0</td><td
class="ctr2" id="i3">1</td><td class="ctr1" id="j2">0</td><td class="ctr2"
id="k2">1</td></tr><tr><td id="a1"><a
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class="el_method">cumulativeProbability(double)</a></td><td class="bar"
id="b3"><img src="../.resources
/greenbar.gif" width="51" height="10" title="9" alt="9"/></td><td class="ctr2"
id="c2">100%</td><td class="bar" id="d2"><img src="../.resources/greenbar.gif"
width="60" height="10" title="2" alt="2"/></td><td class="ctr2"
id="e2">100%</td><td class="ctr1" id="f3">0</td><td class="ctr2"
id="g2">2</td><td class="ctr1" id="h3">0</td><td class="ctr2" id="i4">1</td><td
class="ctr1" id="j3">0</td><td class="ctr2" id="k3">1</td></tr><tr><td
id="a0"><a href="ConstantRealDistribution.java.html#L41"
class="el_method">ConstantRealDistribution(double)</a></td><td class="bar"
id="b4"><img src="../.resources/greenbar.gif" width="40" height="10" title="7"
alt="7"/></td><td class="ctr2" id="c3">100%</td><td class="bar" id="d4"/><td
class="ctr2" id="e4">n/a</td><td class="ctr1" id="f4">0</td><td class="ctr2"
id="g4">1</td><td class="ctr1" id="h4">0</td><td class="ctr2" id="i1">3</td><td
class="ctr1" id="j4">0</td><td class="ctr2" id="k4">1</td></tr><tr><td
id="a3"><a href="ConstantRealDistribution.j
ava.html#L68" class="el_method">getNumericalMean()</a></td><td class="bar"
id="b5"><img src="../.resources/greenbar.gif" width="17" height="10" title="3"
alt="3"/></td><td class="ctr2" id="c4">100%</td><td class="bar" id="d5"/><td
class="ctr2" id="e5">n/a</td><td class="ctr1" id="f5">0</td><td class="ctr2"
id="g5">1</td><td class="ctr1" id="h5">0</td><td class="ctr2" id="i5">1</td><td
class="ctr1" id="j5">0</td><td class="ctr2" id="k5">1</td></tr><tr><td
id="a5"><a href="ConstantRealDistribution.java.html#L82"
class="el_method">getSupportLowerBound()</a></td><td class="bar" id="b6"><img
src="../.resources/greenbar.gif" width="17" height="10" title="3"
alt="3"/></td><td class="ctr2" id="c5">100%</td><td class="bar" id="d6"/><td
class="ctr2" id="e6">n/a</td><td class="ctr1" id="f6">0</td><td class="ctr2"
id="g6">1</td><td class="ctr1" id="h6">0</td><td class="ctr2" id="i6">1</td><td
class="ctr1" id="j6">0</td><td class="ctr2" id="k6">1</td></tr><tr><td
id="a6"><a href="ConstantRealDis
tribution.java.html#L89" class="el_method">getSupportUpperBound()</a></td><td
class="bar" id="b7"><img src="../.resources/greenbar.gif" width="17"
height="10" title="3" alt="3"/></td><td class="ctr2" id="c6">100%</td><td
class="bar" id="d7"/><td class="ctr2" id="e7">n/a</td><td class="ctr1"
id="f7">0</td><td class="ctr2" id="g7">1</td><td class="ctr1" id="h7">0</td><td
class="ctr2" id="i7">1</td><td class="ctr1" id="j7">0</td><td class="ctr2"
id="k7">1</td></tr><tr><td id="a12"><a
href="ConstantRealDistribution.java.html#L112"
class="el_method">sample()</a></td><td class="bar" id="b8"><img
src="../.resources/greenbar.gif" width="17" height="10" title="3"
alt="3"/></td><td class="ctr2" id="c7">100%</td><td class="bar" id="d8"/><td
class="ctr2" id="e8">n/a</td><td class="ctr1" id="f8">0</td><td class="ctr2"
id="g8">1</td><td class="ctr1" id="h8">0</td><td class="ctr2" id="i8">1</td><td
class="ctr1" id="j8">0</td><td class="ctr2" id="k8">1</td></tr><tr><td
id="a4"><a href="ConstantReal
Distribution.java.html#L75"
class="el_method">getNumericalVariance()</a></td><td class="bar" id="b9"><img
src="../.resources/greenbar.gif" width="11" height="10" title="2"
alt="2"/></td><td class="ctr2" id="c8">100%</td><td class="bar" id="d9"/><td
class="ctr2" id="e9">n/a</td><td class="ctr1" id="f9">0</td><td class="ctr2"
id="g9">1</td><td class="ctr1" id="h9">0</td><td class="ctr2" id="i9">1</td><td
class="ctr1" id="j9">0</td><td class="ctr2" id="k9">1</td></tr><tr><td
id="a9"><a href="ConstantRealDistribution.java.html#L94"
class="el_method">isSupportLowerBoundInclusive()</a></td><td class="bar"
id="b10"><img src="../.resources/greenbar.gif" width="11" height="10" title="2"
alt="2"/></td><td class="ctr2" id="c9">100%</td><td class="bar" id="d10"/><td
class="ctr2" id="e10">n/a</td><td class="ctr1" id="f10">0</td><td class="ctr2"
id="g10">1</td><td class="ctr1" id="h10">0</td><td class="ctr2"
id="i10">1</td><td class="ctr1" id="j10">0</td><td class="ctr2"
id="k10">1</td></tr><tr><
td id="a10"><a href="ConstantRealDistribution.java.html#L99"
class="el_method">isSupportUpperBoundInclusive()</a></td><td class="bar"
id="b11"><img src="../.resources/greenbar.gif" width="11" height="10" title="2"
alt="2"/></td><td class="ctr2" id="c10">100%</td><td class="bar" id="d11"/><td
class="ctr2" id="e11">n/a</td><td class="ctr1" id="f11">0</td><td class="ctr2"
id="g11">1</td><td class="ctr1" id="h11">0</td><td class="ctr2"
id="i11">1</td><td class="ctr1" id="j11">0</td><td class="ctr2"
id="k11">1</td></tr><tr><td id="a11"><a
href="ConstantRealDistribution.java.html#L120"
class="el_method">reseedRandomGenerator(long)</a></td><td class="bar"
id="b12"><img src="../.resources/greenbar.gif" width="5" height="10" title="1"
alt="1"/></td><td class="ctr2" id="c11">100%</td><td class="bar" id="d12"/><td
class="ctr2" id="e12">n/a</td><td class="ctr1" id="f12">0</td><td class="ctr2"
id="g12">1</td><td class="ctr1" id="h12">0</td><td class="ctr2"
id="i12">1</td><td class="ctr1" id="j12
">0</td><td class="ctr2" id="k12">1</td></tr></tbody></table><div
class="footer"><span class="right">Created with <a
href="http://www.eclemma.org/jacoco";>JaCoCo</a>
0.7.0.201403182114</span></div></body></html>
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@@ -0,0 +1,122 @@
+<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML
1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd";><html
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rel="stylesheet" href="../.resources/report.css" type="text/css"/><link
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type="image/gif"/><title>ConstantRealDistribution.java</title><link
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type="text/javascript" src="../.resources/prettify.js"></script></head><body
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class="el_package">org.apache.commons.math3.distribution</a> > <span
class="el_source">ConstantRea
lDistribution.java</span></div><h1>ConstantRealDistribution.java</h1><pre
class="source lang-java linenums">/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance
with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math3.distribution;
+
+import org.apache.commons.math3.exception.OutOfRangeException;
+
+/**
+ * Implementation of the constant real distribution.
+ *
+ * @since 3.4
+ */
+public class ConstantRealDistribution extends AbstractRealDistribution {
+
+ /** Serialization ID */
+ private static final long serialVersionUID = -4157745166772046273L;
+
+ /** Constant value of the distribution */
+ private final double value;
+
+ /**
+ * Create a constant real distribution with the given value.
+ *
+ * @param value the constant value of this distribution
+ */
+ public ConstantRealDistribution(double value) {
+<span class="fc" id="L41"> super(null); // Avoid creating
RandomGenerator</span>
+<span class="fc" id="L42"> this.value = value;</span>
+<span class="fc" id="L43"> }</span>
+
+ /** {@inheritDoc} */
+ public double density(double x) {
+<span class="fc bfc" id="L47" title="All 2 branches covered."> return x
== value ? 1 : 0;</span>
+ }
+
+ /** {@inheritDoc} */
+ public double cumulativeProbability(double x) {
+<span class="fc bfc" id="L52" title="All 2 branches covered."> return x
< value ? 0 : 1;</span>
+ }
+
+ @Override
+ public double inverseCumulativeProbability(final double p)
+ throws OutOfRangeException {
+<span class="fc bfc" id="L58" title="All 4 branches covered."> if (p
< 0.0 || p > 1.0) {</span>
+<span class="fc" id="L59"> throw new OutOfRangeException(p, 0,
1);</span>
+ }
+<span class="fc" id="L61"> return value;</span>
+ }
+
+ /**
+ * {@inheritDoc}
+ */
+ public double getNumericalMean() {
+<span class="fc" id="L68"> return value;</span>
+ }
+
+ /**
+ * {@inheritDoc}
+ */
+ public double getNumericalVariance() {
+<span class="fc" id="L75"> return 0;</span>
+ }
+
+ /**
+ * {@inheritDoc}
+ */
+ public double getSupportLowerBound() {
+<span class="fc" id="L82"> return value;</span>
+ }
+
+ /**
+ * {@inheritDoc}
+ */
+ public double getSupportUpperBound() {
+<span class="fc" id="L89"> return value;</span>
+ }
+
+ /** {@inheritDoc} */
+ public boolean isSupportLowerBoundInclusive() {
+<span class="fc" id="L94"> return true;</span>
+ }
+
+ /** {@inheritDoc} */
+ public boolean isSupportUpperBoundInclusive() {
+<span class="fc" id="L99"> return true;</span>
+ }
+
+ /**
+ * {@inheritDoc}
+ */
+ public boolean isSupportConnected() {
+<span class="nc" id="L106"> return true;</span>
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double sample() {
+<span class="fc" id="L112"> return value;</span>
+ }
+
+ /**
+ * Override with no-op (there is no generator).
+ * @param seed (ignored)
+ */
+ @Override
+<span class="fc" id="L120"> public void reseedRandomGenerator(long seed)
{}</span>
+}
+</pre><div class="footer"><span class="right">Created with <a
href="http://www.eclemma.org/jacoco";>JaCoCo</a>
0.7.0.201403182114</span></div></body></html>
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