Added: websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.BesselJResult.html ============================================================================== --- websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.BesselJResult.html (added) +++ websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.BesselJResult.html Tue Dec 30 17:15:36 2014 @@ -0,0 +1,164 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<!-- NewPage --> +<html lang="en"> +<head> +<meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> +<title>Uses of Class org.apache.commons.math3.special.BesselJ.BesselJResult (Apache Commons Math 3.4-SNAPSHOT API)</title> +<link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style"> +</head> +<body> +<script type="text/javascript"><!-- + if (location.href.indexOf('is-external=true') == -1) { + parent.document.title="Uses of Class org.apache.commons.math3.special.BesselJ.BesselJResult (Apache Commons Math 3.4-SNAPSHOT API)"; + } +//--> +</script> +<noscript> +<div>JavaScript is disabled on your browser.</div> +</noscript> +<!-- ========= START OF TOP NAVBAR ======= --> +<div class="topNav"><a name="navbar_top"> +<!-- --> +</a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../../overview-summary.html">Overview</a></li> +<li><a href="../package-summary.html">Package</a></li> +<li><a href="../../../../../../org/apache/commons/math3/special/BesselJ.BesselJResult.html" title="class in org.apache.commons.math3.special">Class</a></li> +<li class="navBarCell1Rev">Use</li> +<li><a href="../package-tree.html">Tree</a></li> +<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../../index-all.html">Index</a></li> +<li><a href="../../../../../../help-doc.html">Help</a></li> +</ul> +<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> +</div> +<div class="subNav"> +<ul class="navList"> +<li>Prev</li> +<li>Next</li> +</ul> +<ul class="navList"> +<li><a href="../../../../../../index.html?org/apache/commons/math3/special/class-use/BesselJ.BesselJResult.html" target="_top">Frames</a></li> +<li><a href="BesselJ.BesselJResult.html" target="_top">No Frames</a></li> +</ul> +<ul class="navList" id="allclasses_navbar_top"> +<li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> +</ul> +<div> +<script type="text/javascript"><!-- + allClassesLink = document.getElementById("allclasses_navbar_top"); + if(window==top) { + allClassesLink.style.display = "block"; + } + else { + allClassesLink.style.display = "none"; + } + //--> +</script> +</div> +<a name="skip-navbar_top"> +<!-- --> +</a></div> +<!-- ========= END OF TOP NAVBAR ========= --> +<div class="header"> +<h2 title="Uses of Class org.apache.commons.math3.special.BesselJ.BesselJResult" class="title">Uses of Class<br>org.apache.commons.math3.special.BesselJ.BesselJResult</h2> +</div> +<div class="classUseContainer"> +<ul class="blockList"> +<li class="blockList"> +<table border="0" cellpadding="3" cellspacing="0" summary="Use table, listing packages, and an explanation"> +<caption><span>Packages that use <a href="../../../../../../org/apache/commons/math3/special/BesselJ.BesselJResult.html" title="class in org.apache.commons.math3.special">BesselJ.BesselJResult</a></span><span class="tabEnd"> </span></caption> +<tr> +<th class="colFirst" scope="col">Package</th> +<th class="colLast" scope="col">Description</th> +</tr> +<tbody> +<tr class="altColor"> +<td class="colFirst"><a href="#org.apache.commons.math3.special">org.apache.commons.math3.special</a></td> +<td class="colLast"> +<div class="block">Implementations of special functions such as Beta and Gamma.</div> +</td> +</tr> +</tbody> +</table> +</li> +<li class="blockList"> +<ul class="blockList"> +<li class="blockList"><a name="org.apache.commons.math3.special"> +<!-- --> +</a> +<h3>Uses of <a href="../../../../../../org/apache/commons/math3/special/BesselJ.BesselJResult.html" title="class in org.apache.commons.math3.special">BesselJ.BesselJResult</a> in <a href="../../../../../../org/apache/commons/math3/special/package-summary.html">org.apache.commons.math3.special</a></h3> +<table border="0" cellpadding="3" cellspacing="0" summary="Use table, listing methods, and an explanation"> +<caption><span>Methods in <a href="../../../../../../org/apache/commons/math3/special/package-summary.html">org.apache.commons.math3.special</a> that return <a href="../../../../../../org/apache/commons/math3/special/BesselJ.BesselJResult.html" title="class in org.apache.commons.math3.special">BesselJ.BesselJResult</a></span><span class="tabEnd"> </span></caption> +<tr> +<th class="colFirst" scope="col">Modifier and Type</th> +<th class="colLast" scope="col">Method and Description</th> +</tr> +<tbody> +<tr class="altColor"> +<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/special/BesselJ.BesselJResult.html" title="class in org.apache.commons.math3.special">BesselJ.BesselJResult</a></code></td> +<td class="colLast"><span class="strong">BesselJ.</span><code><strong><a href="../../../../../../org/apache/commons/math3/special/BesselJ.html#rjBesl(double,%20double,%20int)">rjBesl</a></strong>(double x, + double alpha, + int nb)</code> +<div class="block">Calculates Bessel functions \(J_{n+alpha}(x)\) for + non-negative argument x, and non-negative order n + alpha.</div> +</td> +</tr> +</tbody> +</table> +</li> +</ul> +</li> +</ul> +</div> +<!-- ======= START OF BOTTOM NAVBAR ====== --> +<div class="bottomNav"><a name="navbar_bottom"> +<!-- --> +</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../../overview-summary.html">Overview</a></li> +<li><a href="../package-summary.html">Package</a></li> +<li><a href="../../../../../../org/apache/commons/math3/special/BesselJ.BesselJResult.html" title="class in org.apache.commons.math3.special">Class</a></li> +<li class="navBarCell1Rev">Use</li> +<li><a href="../package-tree.html">Tree</a></li> +<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../../index-all.html">Index</a></li> +<li><a href="../../../../../../help-doc.html">Help</a></li> +</ul> +<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> +</div> +<div class="subNav"> +<ul class="navList"> +<li>Prev</li> +<li>Next</li> +</ul> +<ul class="navList"> +<li><a href="../../../../../../index.html?org/apache/commons/math3/special/class-use/BesselJ.BesselJResult.html" target="_top">Frames</a></li> +<li><a href="BesselJ.BesselJResult.html" target="_top">No Frames</a></li> +</ul> +<ul class="navList" id="allclasses_navbar_bottom"> +<li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> +</ul> +<div> +<script type="text/javascript"><!-- + allClassesLink = document.getElementById("allclasses_navbar_bottom"); + if(window==top) { + allClassesLink.style.display = "block"; + } + else { + allClassesLink.style.display = "none"; + } + //--> +</script> +</div> +<a name="skip-navbar_bottom"> +<!-- --> +</a></div> +<!-- ======== END OF BOTTOM NAVBAR ======= --> +<p class="legalCopy"><small>Copyright © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> +</body> +</html>
Propchange: websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.BesselJResult.html ------------------------------------------------------------------------------ svn:eol-style = native Added: websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.html ============================================================================== --- websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.html (added) +++ websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.html Tue Dec 30 17:15:36 2014 @@ -0,0 +1,117 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<!-- NewPage --> +<html lang="en"> +<head> +<meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> +<title>Uses of Class org.apache.commons.math3.special.BesselJ (Apache Commons Math 3.4-SNAPSHOT API)</title> +<link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style"> +</head> +<body> +<script type="text/javascript"><!-- + if (location.href.indexOf('is-external=true') == -1) { + parent.document.title="Uses of Class org.apache.commons.math3.special.BesselJ (Apache Commons Math 3.4-SNAPSHOT API)"; + } +//--> +</script> +<noscript> +<div>JavaScript is disabled on your browser.</div> +</noscript> +<!-- ========= START OF TOP NAVBAR ======= --> +<div class="topNav"><a name="navbar_top"> +<!-- --> +</a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../../overview-summary.html">Overview</a></li> +<li><a href="../package-summary.html">Package</a></li> +<li><a href="../../../../../../org/apache/commons/math3/special/BesselJ.html" title="class in org.apache.commons.math3.special">Class</a></li> +<li class="navBarCell1Rev">Use</li> +<li><a href="../package-tree.html">Tree</a></li> +<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../../index-all.html">Index</a></li> +<li><a href="../../../../../../help-doc.html">Help</a></li> +</ul> +<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> +</div> +<div class="subNav"> +<ul class="navList"> +<li>Prev</li> +<li>Next</li> +</ul> +<ul class="navList"> +<li><a href="../../../../../../index.html?org/apache/commons/math3/special/class-use/BesselJ.html" target="_top">Frames</a></li> +<li><a href="BesselJ.html" target="_top">No Frames</a></li> +</ul> +<ul class="navList" id="allclasses_navbar_top"> +<li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> +</ul> +<div> +<script type="text/javascript"><!-- + allClassesLink = document.getElementById("allclasses_navbar_top"); + if(window==top) { + allClassesLink.style.display = "block"; + } + else { + allClassesLink.style.display = "none"; + } + //--> +</script> +</div> +<a name="skip-navbar_top"> +<!-- --> +</a></div> +<!-- ========= END OF TOP NAVBAR ========= --> +<div class="header"> +<h2 title="Uses of Class org.apache.commons.math3.special.BesselJ" class="title">Uses of Class<br>org.apache.commons.math3.special.BesselJ</h2> +</div> +<div class="classUseContainer">No usage of org.apache.commons.math3.special.BesselJ</div> +<!-- ======= START OF BOTTOM NAVBAR ====== --> +<div class="bottomNav"><a name="navbar_bottom"> +<!-- --> +</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../../overview-summary.html">Overview</a></li> +<li><a href="../package-summary.html">Package</a></li> +<li><a href="../../../../../../org/apache/commons/math3/special/BesselJ.html" title="class in org.apache.commons.math3.special">Class</a></li> +<li class="navBarCell1Rev">Use</li> +<li><a href="../package-tree.html">Tree</a></li> +<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../../index-all.html">Index</a></li> +<li><a href="../../../../../../help-doc.html">Help</a></li> +</ul> +<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> +</div> +<div class="subNav"> +<ul class="navList"> +<li>Prev</li> +<li>Next</li> +</ul> +<ul class="navList"> +<li><a href="../../../../../../index.html?org/apache/commons/math3/special/class-use/BesselJ.html" target="_top">Frames</a></li> +<li><a href="BesselJ.html" target="_top">No Frames</a></li> +</ul> +<ul class="navList" id="allclasses_navbar_bottom"> +<li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> +</ul> +<div> +<script type="text/javascript"><!-- + allClassesLink = document.getElementById("allclasses_navbar_bottom"); + if(window==top) { + allClassesLink.style.display = "block"; + } + else { + allClassesLink.style.display = "none"; + } + //--> +</script> +</div> +<a name="skip-navbar_bottom"> +<!-- --> +</a></div> +<!-- ======== END OF BOTTOM NAVBAR ======= --> +<p class="legalCopy"><small>Copyright © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> +</body> +</html> Propchange: websites/production/commons/content/proper/commons-math/apidocs/org/apache/commons/math3/special/class-use/BesselJ.html ------------------------------------------------------------------------------ svn:eol-style = native Added: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolatingFunction.html ============================================================================== --- websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolatingFunction.html (added) +++ websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolatingFunction.html Tue Dec 30 17:15:36 2014 @@ -0,0 +1,397 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<html lang="en"> +<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.analysis.interpolation;<a name="line.17"></a> +<span class="sourceLineNo">018</span><a name="line.18"></a> +<span class="sourceLineNo">019</span>import java.util.Arrays;<a name="line.19"></a> +<span class="sourceLineNo">020</span>import org.apache.commons.math3.analysis.BivariateFunction;<a name="line.20"></a> +<span class="sourceLineNo">021</span>import org.apache.commons.math3.exception.DimensionMismatchException;<a name="line.21"></a> +<span class="sourceLineNo">022</span>import org.apache.commons.math3.exception.NoDataException;<a name="line.22"></a> +<span class="sourceLineNo">023</span>import org.apache.commons.math3.exception.OutOfRangeException;<a name="line.23"></a> +<span class="sourceLineNo">024</span>import org.apache.commons.math3.exception.NonMonotonicSequenceException;<a name="line.24"></a> +<span class="sourceLineNo">025</span>import org.apache.commons.math3.util.MathArrays;<a name="line.25"></a> +<span class="sourceLineNo">026</span><a name="line.26"></a> +<span class="sourceLineNo">027</span>/**<a name="line.27"></a> +<span class="sourceLineNo">028</span> * Function that implements the<a name="line.28"></a> +<span class="sourceLineNo">029</span> * <a href="http://en.wikipedia.org/wiki/Bicubic_interpolation"><a name="line.29"></a> +<span class="sourceLineNo">030</span> * bicubic spline interpolation</a>.<a name="line.30"></a> +<span class="sourceLineNo">031</span> *<a name="line.31"></a> +<span class="sourceLineNo">032</span> * @since 3.4<a name="line.32"></a> +<span class="sourceLineNo">033</span> */<a name="line.33"></a> +<span class="sourceLineNo">034</span>public class BicubicInterpolatingFunction<a name="line.34"></a> +<span class="sourceLineNo">035</span> implements BivariateFunction {<a name="line.35"></a> +<span class="sourceLineNo">036</span> /** Number of coefficients. */<a name="line.36"></a> +<span class="sourceLineNo">037</span> private static final int NUM_COEFF = 16;<a name="line.37"></a> +<span class="sourceLineNo">038</span> /**<a name="line.38"></a> +<span class="sourceLineNo">039</span> * Matrix to compute the spline coefficients from the function values<a name="line.39"></a> +<span class="sourceLineNo">040</span> * and function derivatives values<a name="line.40"></a> +<span class="sourceLineNo">041</span> */<a name="line.41"></a> +<span class="sourceLineNo">042</span> private static final double[][] AINV = {<a name="line.42"></a> +<span class="sourceLineNo">043</span> { 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 },<a name="line.43"></a> +<span class="sourceLineNo">044</span> { 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0 },<a name="line.44"></a> +<span class="sourceLineNo">045</span> { -3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0 },<a name="line.45"></a> +<span class="sourceLineNo">046</span> { 2,-2,0,0,1,1,0,0,0,0,0,0,0,0,0,0 },<a name="line.46"></a> +<span class="sourceLineNo">047</span> { 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0 },<a name="line.47"></a> +<span class="sourceLineNo">048</span> { 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0 },<a name="line.48"></a> +<span class="sourceLineNo">049</span> { 0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0 },<a name="line.49"></a> +<span class="sourceLineNo">050</span> { 0,0,0,0,0,0,0,0,2,-2,0,0,1,1,0,0 },<a name="line.50"></a> +<span class="sourceLineNo">051</span> { -3,0,3,0,0,0,0,0,-2,0,-1,0,0,0,0,0 },<a name="line.51"></a> +<span class="sourceLineNo">052</span> { 0,0,0,0,-3,0,3,0,0,0,0,0,-2,0,-1,0 },<a name="line.52"></a> +<span class="sourceLineNo">053</span> { 9,-9,-9,9,6,3,-6,-3,6,-6,3,-3,4,2,2,1 },<a name="line.53"></a> +<span class="sourceLineNo">054</span> { -6,6,6,-6,-3,-3,3,3,-4,4,-2,2,-2,-2,-1,-1 },<a name="line.54"></a> +<span class="sourceLineNo">055</span> { 2,0,-2,0,0,0,0,0,1,0,1,0,0,0,0,0 },<a name="line.55"></a> +<span class="sourceLineNo">056</span> { 0,0,0,0,2,0,-2,0,0,0,0,0,1,0,1,0 },<a name="line.56"></a> +<span class="sourceLineNo">057</span> { -6,6,6,-6,-4,-2,4,2,-3,3,-3,3,-2,-1,-2,-1 },<a name="line.57"></a> +<span class="sourceLineNo">058</span> { 4,-4,-4,4,2,2,-2,-2,2,-2,2,-2,1,1,1,1 }<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> /** Samples x-coordinates */<a name="line.61"></a> +<span class="sourceLineNo">062</span> private final double[] xval;<a name="line.62"></a> +<span class="sourceLineNo">063</span> /** Samples y-coordinates */<a name="line.63"></a> +<span class="sourceLineNo">064</span> private final double[] yval;<a name="line.64"></a> +<span class="sourceLineNo">065</span> /** Set of cubic splines patching the whole data grid */<a name="line.65"></a> +<span class="sourceLineNo">066</span> private final BicubicFunction[][] splines;<a name="line.66"></a> +<span class="sourceLineNo">067</span><a name="line.67"></a> +<span class="sourceLineNo">068</span> /**<a name="line.68"></a> +<span class="sourceLineNo">069</span> * @param x Sample values of the x-coordinate, in increasing order.<a name="line.69"></a> +<span class="sourceLineNo">070</span> * @param y Sample values of the y-coordinate, in increasing order.<a name="line.70"></a> +<span class="sourceLineNo">071</span> * @param f Values of the function on every grid point.<a name="line.71"></a> +<span class="sourceLineNo">072</span> * @param dFdX Values of the partial derivative of function with respect<a name="line.72"></a> +<span class="sourceLineNo">073</span> * to x on every grid point.<a name="line.73"></a> +<span class="sourceLineNo">074</span> * @param dFdY Values of the partial derivative of function with respect<a name="line.74"></a> +<span class="sourceLineNo">075</span> * to y on every grid point.<a name="line.75"></a> +<span class="sourceLineNo">076</span> * @param d2FdXdY Values of the cross partial derivative of function on<a name="line.76"></a> +<span class="sourceLineNo">077</span> * every grid point.<a name="line.77"></a> +<span class="sourceLineNo">078</span> * @throws DimensionMismatchException if the various arrays do not contain<a name="line.78"></a> +<span class="sourceLineNo">079</span> * the expected number of elements.<a name="line.79"></a> +<span class="sourceLineNo">080</span> * @throws NonMonotonicSequenceException if {@code x} or {@code y} are<a name="line.80"></a> +<span class="sourceLineNo">081</span> * not strictly increasing.<a name="line.81"></a> +<span class="sourceLineNo">082</span> * @throws NoDataException if any of the arrays has zero length.<a name="line.82"></a> +<span class="sourceLineNo">083</span> */<a name="line.83"></a> +<span class="sourceLineNo">084</span> public BicubicInterpolatingFunction(double[] x,<a name="line.84"></a> +<span class="sourceLineNo">085</span> double[] y,<a name="line.85"></a> +<span class="sourceLineNo">086</span> double[][] f,<a name="line.86"></a> +<span class="sourceLineNo">087</span> double[][] dFdX,<a name="line.87"></a> +<span class="sourceLineNo">088</span> double[][] dFdY,<a name="line.88"></a> +<span class="sourceLineNo">089</span> double[][] d2FdXdY)<a name="line.89"></a> +<span class="sourceLineNo">090</span> throws DimensionMismatchException,<a name="line.90"></a> +<span class="sourceLineNo">091</span> NoDataException,<a name="line.91"></a> +<span class="sourceLineNo">092</span> NonMonotonicSequenceException {<a name="line.92"></a> +<span class="sourceLineNo">093</span> final int xLen = x.length;<a name="line.93"></a> +<span class="sourceLineNo">094</span> final int yLen = y.length;<a name="line.94"></a> +<span class="sourceLineNo">095</span><a name="line.95"></a> +<span class="sourceLineNo">096</span> if (xLen == 0 || yLen == 0 || f.length == 0 || f[0].length == 0) {<a name="line.96"></a> +<span class="sourceLineNo">097</span> throw new NoDataException();<a name="line.97"></a> +<span class="sourceLineNo">098</span> }<a name="line.98"></a> +<span class="sourceLineNo">099</span> if (xLen != f.length) {<a name="line.99"></a> +<span class="sourceLineNo">100</span> throw new DimensionMismatchException(xLen, f.length);<a name="line.100"></a> +<span class="sourceLineNo">101</span> }<a name="line.101"></a> +<span class="sourceLineNo">102</span> if (xLen != dFdX.length) {<a name="line.102"></a> +<span class="sourceLineNo">103</span> throw new DimensionMismatchException(xLen, dFdX.length);<a name="line.103"></a> +<span class="sourceLineNo">104</span> }<a name="line.104"></a> +<span class="sourceLineNo">105</span> if (xLen != dFdY.length) {<a name="line.105"></a> +<span class="sourceLineNo">106</span> throw new DimensionMismatchException(xLen, dFdY.length);<a name="line.106"></a> +<span class="sourceLineNo">107</span> }<a name="line.107"></a> +<span class="sourceLineNo">108</span> if (xLen != d2FdXdY.length) {<a name="line.108"></a> +<span class="sourceLineNo">109</span> throw new DimensionMismatchException(xLen, d2FdXdY.length);<a name="line.109"></a> +<span class="sourceLineNo">110</span> }<a name="line.110"></a> +<span class="sourceLineNo">111</span><a name="line.111"></a> +<span class="sourceLineNo">112</span> MathArrays.checkOrder(x);<a name="line.112"></a> +<span class="sourceLineNo">113</span> MathArrays.checkOrder(y);<a name="line.113"></a> +<span class="sourceLineNo">114</span><a name="line.114"></a> +<span class="sourceLineNo">115</span> xval = x.clone();<a name="line.115"></a> +<span class="sourceLineNo">116</span> yval = y.clone();<a name="line.116"></a> +<span class="sourceLineNo">117</span><a name="line.117"></a> +<span class="sourceLineNo">118</span> final int lastI = xLen - 1;<a name="line.118"></a> +<span class="sourceLineNo">119</span> final int lastJ = yLen - 1;<a name="line.119"></a> +<span class="sourceLineNo">120</span> splines = new BicubicFunction[lastI][lastJ];<a name="line.120"></a> +<span class="sourceLineNo">121</span><a name="line.121"></a> +<span class="sourceLineNo">122</span> for (int i = 0; i < lastI; i++) {<a name="line.122"></a> +<span class="sourceLineNo">123</span> if (f[i].length != yLen) {<a name="line.123"></a> +<span class="sourceLineNo">124</span> throw new DimensionMismatchException(f[i].length, yLen);<a name="line.124"></a> +<span class="sourceLineNo">125</span> }<a name="line.125"></a> +<span class="sourceLineNo">126</span> if (dFdX[i].length != yLen) {<a name="line.126"></a> +<span class="sourceLineNo">127</span> throw new DimensionMismatchException(dFdX[i].length, yLen);<a name="line.127"></a> +<span class="sourceLineNo">128</span> }<a name="line.128"></a> +<span class="sourceLineNo">129</span> if (dFdY[i].length != yLen) {<a name="line.129"></a> +<span class="sourceLineNo">130</span> throw new DimensionMismatchException(dFdY[i].length, yLen);<a name="line.130"></a> +<span class="sourceLineNo">131</span> }<a name="line.131"></a> +<span class="sourceLineNo">132</span> if (d2FdXdY[i].length != yLen) {<a name="line.132"></a> +<span class="sourceLineNo">133</span> throw new DimensionMismatchException(d2FdXdY[i].length, yLen);<a name="line.133"></a> +<span class="sourceLineNo">134</span> }<a name="line.134"></a> +<span class="sourceLineNo">135</span> final int ip1 = i + 1;<a name="line.135"></a> +<span class="sourceLineNo">136</span> final double xR = xval[ip1] - xval[i];<a name="line.136"></a> +<span class="sourceLineNo">137</span> for (int j = 0; j < lastJ; j++) {<a name="line.137"></a> +<span class="sourceLineNo">138</span> final int jp1 = j + 1;<a name="line.138"></a> +<span class="sourceLineNo">139</span> final double yR = yval[jp1] - yval[j];<a name="line.139"></a> +<span class="sourceLineNo">140</span> final double xRyR = xR * yR;<a name="line.140"></a> +<span class="sourceLineNo">141</span> final double[] beta = new double[] {<a name="line.141"></a> +<span class="sourceLineNo">142</span> f[i][j], f[ip1][j], f[i][jp1], f[ip1][jp1],<a name="line.142"></a> +<span class="sourceLineNo">143</span> dFdX[i][j] * xR, dFdX[ip1][j] * xR, dFdX[i][jp1] * xR, dFdX[ip1][jp1] * xR,<a name="line.143"></a> +<span class="sourceLineNo">144</span> dFdY[i][j] * yR, dFdY[ip1][j] * yR, dFdY[i][jp1] * yR, dFdY[ip1][jp1] * yR,<a name="line.144"></a> +<span class="sourceLineNo">145</span> d2FdXdY[i][j] * xRyR, d2FdXdY[ip1][j] * xRyR, d2FdXdY[i][jp1] * xRyR, d2FdXdY[ip1][jp1] * xRyR<a name="line.145"></a> +<span class="sourceLineNo">146</span> };<a name="line.146"></a> +<span class="sourceLineNo">147</span><a name="line.147"></a> +<span class="sourceLineNo">148</span> splines[i][j] = new BicubicFunction(computeSplineCoefficients(beta));<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><a name="line.152"></a> +<span class="sourceLineNo">153</span> /**<a name="line.153"></a> +<span class="sourceLineNo">154</span> * {@inheritDoc}<a name="line.154"></a> +<span class="sourceLineNo">155</span> */<a name="line.155"></a> +<span class="sourceLineNo">156</span> public double value(double x, double y)<a name="line.156"></a> +<span class="sourceLineNo">157</span> throws OutOfRangeException {<a name="line.157"></a> +<span class="sourceLineNo">158</span> final int i = searchIndex(x, xval);<a name="line.158"></a> +<span class="sourceLineNo">159</span> final int j = searchIndex(y, yval);<a name="line.159"></a> +<span class="sourceLineNo">160</span><a name="line.160"></a> +<span class="sourceLineNo">161</span> final double xN = (x - xval[i]) / (xval[i + 1] - xval[i]);<a name="line.161"></a> +<span class="sourceLineNo">162</span> final double yN = (y - yval[j]) / (yval[j + 1] - yval[j]);<a name="line.162"></a> +<span class="sourceLineNo">163</span><a name="line.163"></a> +<span class="sourceLineNo">164</span> return splines[i][j].value(xN, yN);<a name="line.164"></a> +<span class="sourceLineNo">165</span> }<a name="line.165"></a> +<span class="sourceLineNo">166</span><a name="line.166"></a> +<span class="sourceLineNo">167</span> /**<a name="line.167"></a> +<span class="sourceLineNo">168</span> * Indicates whether a point is within the interpolation range.<a name="line.168"></a> +<span class="sourceLineNo">169</span> *<a name="line.169"></a> +<span class="sourceLineNo">170</span> * @param x First coordinate.<a name="line.170"></a> +<span class="sourceLineNo">171</span> * @param y Second coordinate.<a name="line.171"></a> +<span class="sourceLineNo">172</span> * @return {@code true} if (x, y) is a valid point.<a name="line.172"></a> +<span class="sourceLineNo">173</span> */<a name="line.173"></a> +<span class="sourceLineNo">174</span> public boolean isValidPoint(double x, double y) {<a name="line.174"></a> +<span class="sourceLineNo">175</span> if (x < xval[0] ||<a name="line.175"></a> +<span class="sourceLineNo">176</span> x > xval[xval.length - 1] ||<a name="line.176"></a> +<span class="sourceLineNo">177</span> y < yval[0] ||<a name="line.177"></a> +<span class="sourceLineNo">178</span> y > yval[yval.length - 1]) {<a name="line.178"></a> +<span class="sourceLineNo">179</span> return false;<a name="line.179"></a> +<span class="sourceLineNo">180</span> } else {<a name="line.180"></a> +<span class="sourceLineNo">181</span> return true;<a name="line.181"></a> +<span class="sourceLineNo">182</span> }<a name="line.182"></a> +<span class="sourceLineNo">183</span> }<a name="line.183"></a> +<span class="sourceLineNo">184</span><a name="line.184"></a> +<span class="sourceLineNo">185</span> /**<a name="line.185"></a> +<span class="sourceLineNo">186</span> * @param c Coordinate.<a name="line.186"></a> +<span class="sourceLineNo">187</span> * @param val Coordinate samples.<a name="line.187"></a> +<span class="sourceLineNo">188</span> * @return the index in {@code val} corresponding to the interval<a name="line.188"></a> +<span class="sourceLineNo">189</span> * containing {@code c}.<a name="line.189"></a> +<span class="sourceLineNo">190</span> * @throws OutOfRangeException if {@code c} is out of the<a name="line.190"></a> +<span class="sourceLineNo">191</span> * range defined by the boundary values of {@code val}.<a name="line.191"></a> +<span class="sourceLineNo">192</span> */<a name="line.192"></a> +<span class="sourceLineNo">193</span> private int searchIndex(double c, double[] val) {<a name="line.193"></a> +<span class="sourceLineNo">194</span> final int r = Arrays.binarySearch(val, c);<a name="line.194"></a> +<span class="sourceLineNo">195</span><a name="line.195"></a> +<span class="sourceLineNo">196</span> if (r == -1 ||<a name="line.196"></a> +<span class="sourceLineNo">197</span> r == -val.length - 1) {<a name="line.197"></a> +<span class="sourceLineNo">198</span> throw new OutOfRangeException(c, val[0], val[val.length - 1]);<a name="line.198"></a> +<span class="sourceLineNo">199</span> }<a name="line.199"></a> +<span class="sourceLineNo">200</span><a name="line.200"></a> +<span class="sourceLineNo">201</span> if (r < 0) {<a name="line.201"></a> +<span class="sourceLineNo">202</span> // "c" in within an interpolation sub-interval: Return the<a name="line.202"></a> +<span class="sourceLineNo">203</span> // index of the sample at the lower end of the sub-interval.<a name="line.203"></a> +<span class="sourceLineNo">204</span> return -r - 2;<a name="line.204"></a> +<span class="sourceLineNo">205</span> }<a name="line.205"></a> +<span class="sourceLineNo">206</span> final int last = val.length - 1;<a name="line.206"></a> +<span class="sourceLineNo">207</span> if (r == last) {<a name="line.207"></a> +<span class="sourceLineNo">208</span> // "c" is the last sample of the range: Return the index<a name="line.208"></a> +<span class="sourceLineNo">209</span> // of the sample at the lower end of the last sub-interval.<a name="line.209"></a> +<span class="sourceLineNo">210</span> return last - 1;<a name="line.210"></a> +<span class="sourceLineNo">211</span> }<a name="line.211"></a> +<span class="sourceLineNo">212</span><a name="line.212"></a> +<span class="sourceLineNo">213</span> // "c" is another sample point.<a name="line.213"></a> +<span class="sourceLineNo">214</span> return r;<a name="line.214"></a> +<span class="sourceLineNo">215</span> }<a name="line.215"></a> +<span class="sourceLineNo">216</span><a name="line.216"></a> +<span class="sourceLineNo">217</span> /**<a name="line.217"></a> +<span class="sourceLineNo">218</span> * Compute the spline coefficients from the list of function values and<a name="line.218"></a> +<span class="sourceLineNo">219</span> * function partial derivatives values at the four corners of a grid<a name="line.219"></a> +<span class="sourceLineNo">220</span> * element. They must be specified in the following order:<a name="line.220"></a> +<span class="sourceLineNo">221</span> * <ul><a name="line.221"></a> +<span class="sourceLineNo">222</span> * <li>f(0,0)</li><a name="line.222"></a> +<span class="sourceLineNo">223</span> * <li>f(1,0)</li><a name="line.223"></a> +<span class="sourceLineNo">224</span> * <li>f(0,1)</li><a name="line.224"></a> +<span class="sourceLineNo">225</span> * <li>f(1,1)</li><a name="line.225"></a> +<span class="sourceLineNo">226</span> * <li>f<sub>x</sub>(0,0)</li><a name="line.226"></a> +<span class="sourceLineNo">227</span> * <li>f<sub>x</sub>(1,0)</li><a name="line.227"></a> +<span class="sourceLineNo">228</span> * <li>f<sub>x</sub>(0,1)</li><a name="line.228"></a> +<span class="sourceLineNo">229</span> * <li>f<sub>x</sub>(1,1)</li><a name="line.229"></a> +<span class="sourceLineNo">230</span> * <li>f<sub>y</sub>(0,0)</li><a name="line.230"></a> +<span class="sourceLineNo">231</span> * <li>f<sub>y</sub>(1,0)</li><a name="line.231"></a> +<span class="sourceLineNo">232</span> * <li>f<sub>y</sub>(0,1)</li><a name="line.232"></a> +<span class="sourceLineNo">233</span> * <li>f<sub>y</sub>(1,1)</li><a name="line.233"></a> +<span class="sourceLineNo">234</span> * <li>f<sub>xy</sub>(0,0)</li><a name="line.234"></a> +<span class="sourceLineNo">235</span> * <li>f<sub>xy</sub>(1,0)</li><a name="line.235"></a> +<span class="sourceLineNo">236</span> * <li>f<sub>xy</sub>(0,1)</li><a name="line.236"></a> +<span class="sourceLineNo">237</span> * <li>f<sub>xy</sub>(1,1)</li><a name="line.237"></a> +<span class="sourceLineNo">238</span> * </ul><a name="line.238"></a> +<span class="sourceLineNo">239</span> * where the subscripts indicate the partial derivative with respect to<a name="line.239"></a> +<span class="sourceLineNo">240</span> * the corresponding variable(s).<a name="line.240"></a> +<span class="sourceLineNo">241</span> *<a name="line.241"></a> +<span class="sourceLineNo">242</span> * @param beta List of function values and function partial derivatives<a name="line.242"></a> +<span class="sourceLineNo">243</span> * values.<a name="line.243"></a> +<span class="sourceLineNo">244</span> * @return the spline coefficients.<a name="line.244"></a> +<span class="sourceLineNo">245</span> */<a name="line.245"></a> +<span class="sourceLineNo">246</span> private double[] computeSplineCoefficients(double[] beta) {<a name="line.246"></a> +<span class="sourceLineNo">247</span> final double[] a = new double[NUM_COEFF];<a name="line.247"></a> +<span class="sourceLineNo">248</span><a name="line.248"></a> +<span class="sourceLineNo">249</span> for (int i = 0; i < NUM_COEFF; i++) {<a name="line.249"></a> +<span class="sourceLineNo">250</span> double result = 0;<a name="line.250"></a> +<span class="sourceLineNo">251</span> final double[] row = AINV[i];<a name="line.251"></a> +<span class="sourceLineNo">252</span> for (int j = 0; j < NUM_COEFF; j++) {<a name="line.252"></a> +<span class="sourceLineNo">253</span> result += row[j] * beta[j];<a name="line.253"></a> +<span class="sourceLineNo">254</span> }<a name="line.254"></a> +<span class="sourceLineNo">255</span> a[i] = result;<a name="line.255"></a> +<span class="sourceLineNo">256</span> }<a name="line.256"></a> +<span class="sourceLineNo">257</span><a name="line.257"></a> +<span class="sourceLineNo">258</span> return a;<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>/**<a name="line.262"></a> +<span class="sourceLineNo">263</span> * Bicubic function.<a name="line.263"></a> +<span class="sourceLineNo">264</span> */<a name="line.264"></a> +<span class="sourceLineNo">265</span>class BicubicFunction implements BivariateFunction {<a name="line.265"></a> +<span class="sourceLineNo">266</span> /** Number of points. */<a name="line.266"></a> +<span class="sourceLineNo">267</span> private static final short N = 4;<a name="line.267"></a> +<span class="sourceLineNo">268</span> /** Coefficients */<a name="line.268"></a> +<span class="sourceLineNo">269</span> private final double[][] a;<a name="line.269"></a> +<span class="sourceLineNo">270</span><a name="line.270"></a> +<span class="sourceLineNo">271</span> /**<a name="line.271"></a> +<span class="sourceLineNo">272</span> * Simple constructor.<a name="line.272"></a> +<span class="sourceLineNo">273</span> *<a name="line.273"></a> +<span class="sourceLineNo">274</span> * @param coeff Spline coefficients.<a name="line.274"></a> +<span class="sourceLineNo">275</span> */<a name="line.275"></a> +<span class="sourceLineNo">276</span> public BicubicFunction(double[] coeff) {<a name="line.276"></a> +<span class="sourceLineNo">277</span> a = new double[N][N];<a name="line.277"></a> +<span class="sourceLineNo">278</span> for (int j = 0; j < N; j++) {<a name="line.278"></a> +<span class="sourceLineNo">279</span> final double[] aJ = a[j];<a name="line.279"></a> +<span class="sourceLineNo">280</span> for (int i = 0; i < N; i++) {<a name="line.280"></a> +<span class="sourceLineNo">281</span> aJ[i] = coeff[i * N + j];<a name="line.281"></a> +<span class="sourceLineNo">282</span> }<a name="line.282"></a> +<span class="sourceLineNo">283</span> }<a name="line.283"></a> +<span class="sourceLineNo">284</span> }<a name="line.284"></a> +<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> * {@inheritDoc}<a name="line.287"></a> +<span class="sourceLineNo">288</span> */<a name="line.288"></a> +<span class="sourceLineNo">289</span> public double value(double x, double y) {<a name="line.289"></a> +<span class="sourceLineNo">290</span> if (x < 0 || x > 1) {<a name="line.290"></a> +<span class="sourceLineNo">291</span> throw new OutOfRangeException(x, 0, 1);<a name="line.291"></a> +<span class="sourceLineNo">292</span> }<a name="line.292"></a> +<span class="sourceLineNo">293</span> if (y < 0 || y > 1) {<a name="line.293"></a> +<span class="sourceLineNo">294</span> throw new OutOfRangeException(y, 0, 1);<a name="line.294"></a> +<span class="sourceLineNo">295</span> }<a name="line.295"></a> +<span class="sourceLineNo">296</span><a name="line.296"></a> +<span class="sourceLineNo">297</span> final double x2 = x * x;<a name="line.297"></a> +<span class="sourceLineNo">298</span> final double x3 = x2 * x;<a name="line.298"></a> +<span class="sourceLineNo">299</span> final double[] pX = {1, x, x2, x3};<a name="line.299"></a> +<span class="sourceLineNo">300</span><a name="line.300"></a> +<span class="sourceLineNo">301</span> final double y2 = y * y;<a name="line.301"></a> +<span class="sourceLineNo">302</span> final double y3 = y2 * y;<a name="line.302"></a> +<span class="sourceLineNo">303</span> final double[] pY = {1, y, y2, y3};<a name="line.303"></a> +<span class="sourceLineNo">304</span><a name="line.304"></a> +<span class="sourceLineNo">305</span> return apply(pX, pY, a);<a name="line.305"></a> +<span class="sourceLineNo">306</span> }<a name="line.306"></a> +<span class="sourceLineNo">307</span><a name="line.307"></a> +<span class="sourceLineNo">308</span> /**<a name="line.308"></a> +<span class="sourceLineNo">309</span> * Compute the value of the bicubic polynomial.<a name="line.309"></a> +<span class="sourceLineNo">310</span> *<a name="line.310"></a> +<span class="sourceLineNo">311</span> * @param pX Powers of the x-coordinate.<a name="line.311"></a> +<span class="sourceLineNo">312</span> * @param pY Powers of the y-coordinate.<a name="line.312"></a> +<span class="sourceLineNo">313</span> * @param coeff Spline coefficients.<a name="line.313"></a> +<span class="sourceLineNo">314</span> * @return the interpolated value.<a name="line.314"></a> +<span class="sourceLineNo">315</span> */<a name="line.315"></a> +<span class="sourceLineNo">316</span> private double apply(double[] pX, double[] pY, double[][] coeff) {<a name="line.316"></a> +<span class="sourceLineNo">317</span> double result = 0;<a name="line.317"></a> +<span class="sourceLineNo">318</span> for (int i = 0; i < N; i++) {<a name="line.318"></a> +<span class="sourceLineNo">319</span> final double r = MathArrays.linearCombination(coeff[i], pY);<a name="line.319"></a> +<span class="sourceLineNo">320</span> result += r * pX[i];<a name="line.320"></a> +<span class="sourceLineNo">321</span> }<a name="line.321"></a> +<span class="sourceLineNo">322</span><a name="line.322"></a> +<span class="sourceLineNo">323</span> return result;<a name="line.323"></a> +<span class="sourceLineNo">324</span> }<a name="line.324"></a> +<span class="sourceLineNo">325</span>}<a name="line.325"></a> + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +</pre> +</div> +</body> +</html> Propchange: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolatingFunction.html ------------------------------------------------------------------------------ svn:eol-style = native Added: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolator.html ============================================================================== --- websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolator.html (added) +++ websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolator.html Tue Dec 30 17:15:36 2014 @@ -0,0 +1,184 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<html lang="en"> +<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.analysis.interpolation;<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.DimensionMismatchException;<a name="line.19"></a> +<span class="sourceLineNo">020</span>import org.apache.commons.math3.exception.NoDataException;<a name="line.20"></a> +<span class="sourceLineNo">021</span>import org.apache.commons.math3.exception.NonMonotonicSequenceException;<a name="line.21"></a> +<span class="sourceLineNo">022</span>import org.apache.commons.math3.exception.NumberIsTooSmallException;<a name="line.22"></a> +<span class="sourceLineNo">023</span>import org.apache.commons.math3.util.MathArrays;<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> * Generates a {@link BicubicInterpolatingFunction bicubic interpolating<a name="line.26"></a> +<span class="sourceLineNo">027</span> * function}.<a name="line.27"></a> +<span class="sourceLineNo">028</span> * <p><a name="line.28"></a> +<span class="sourceLineNo">029</span> * Caveat: Because the interpolation scheme requires that derivatives be<a name="line.29"></a> +<span class="sourceLineNo">030</span> * specified at the sample points, those are approximated with finite<a name="line.30"></a> +<span class="sourceLineNo">031</span> * differences (using the 2-points symmetric formulae).<a name="line.31"></a> +<span class="sourceLineNo">032</span> * Since their values are undefined at the borders of the provided<a name="line.32"></a> +<span class="sourceLineNo">033</span> * interpolation ranges, the interpolated values will be wrong at the<a name="line.33"></a> +<span class="sourceLineNo">034</span> * edges of the patch.<a name="line.34"></a> +<span class="sourceLineNo">035</span> * The {@code interpolate} method will return a function that overrides<a name="line.35"></a> +<span class="sourceLineNo">036</span> * {@link BicubicInterpolatingFunction#isValidPoint(double,double)} to<a name="line.36"></a> +<span class="sourceLineNo">037</span> * indicate points where the interpolation will be inaccurate.<a name="line.37"></a> +<span class="sourceLineNo">038</span> * </p><a name="line.38"></a> +<span class="sourceLineNo">039</span> *<a name="line.39"></a> +<span class="sourceLineNo">040</span> * @since 3.4<a name="line.40"></a> +<span class="sourceLineNo">041</span> */<a name="line.41"></a> +<span class="sourceLineNo">042</span>public class BicubicInterpolator<a name="line.42"></a> +<span class="sourceLineNo">043</span> implements BivariateGridInterpolator {<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 name="line.46"></a> +<span class="sourceLineNo">047</span> public BicubicInterpolatingFunction interpolate(final double[] xval,<a name="line.47"></a> +<span class="sourceLineNo">048</span> final double[] yval,<a name="line.48"></a> +<span class="sourceLineNo">049</span> final double[][] fval)<a name="line.49"></a> +<span class="sourceLineNo">050</span> throws NoDataException, DimensionMismatchException,<a name="line.50"></a> +<span class="sourceLineNo">051</span> NonMonotonicSequenceException, NumberIsTooSmallException {<a name="line.51"></a> +<span class="sourceLineNo">052</span> if (xval.length == 0 || yval.length == 0 || fval.length == 0) {<a name="line.52"></a> +<span class="sourceLineNo">053</span> throw new NoDataException();<a name="line.53"></a> +<span class="sourceLineNo">054</span> }<a name="line.54"></a> +<span class="sourceLineNo">055</span> if (xval.length != fval.length) {<a name="line.55"></a> +<span class="sourceLineNo">056</span> throw new DimensionMismatchException(xval.length, fval.length);<a name="line.56"></a> +<span class="sourceLineNo">057</span> }<a name="line.57"></a> +<span class="sourceLineNo">058</span><a name="line.58"></a> +<span class="sourceLineNo">059</span> MathArrays.checkOrder(xval);<a name="line.59"></a> +<span class="sourceLineNo">060</span> MathArrays.checkOrder(yval);<a name="line.60"></a> +<span class="sourceLineNo">061</span><a name="line.61"></a> +<span class="sourceLineNo">062</span> final int xLen = xval.length;<a name="line.62"></a> +<span class="sourceLineNo">063</span> final int yLen = yval.length;<a name="line.63"></a> +<span class="sourceLineNo">064</span><a name="line.64"></a> +<span class="sourceLineNo">065</span> // Approximation to the partial derivatives using finite differences.<a name="line.65"></a> +<span class="sourceLineNo">066</span> final double[][] dFdX = new double[xLen][yLen];<a name="line.66"></a> +<span class="sourceLineNo">067</span> final double[][] dFdY = new double[xLen][yLen];<a name="line.67"></a> +<span class="sourceLineNo">068</span> final double[][] d2FdXdY = new double[xLen][yLen];<a name="line.68"></a> +<span class="sourceLineNo">069</span> for (int i = 1; i < xLen - 1; i++) {<a name="line.69"></a> +<span class="sourceLineNo">070</span> final int nI = i + 1;<a name="line.70"></a> +<span class="sourceLineNo">071</span> final int pI = i - 1;<a name="line.71"></a> +<span class="sourceLineNo">072</span><a name="line.72"></a> +<span class="sourceLineNo">073</span> final double nX = xval[nI];<a name="line.73"></a> +<span class="sourceLineNo">074</span> final double pX = xval[pI];<a name="line.74"></a> +<span class="sourceLineNo">075</span><a name="line.75"></a> +<span class="sourceLineNo">076</span> final double deltaX = nX - pX;<a name="line.76"></a> +<span class="sourceLineNo">077</span><a name="line.77"></a> +<span class="sourceLineNo">078</span> for (int j = 1; j < yLen - 1; j++) {<a name="line.78"></a> +<span class="sourceLineNo">079</span> final int nJ = j + 1;<a name="line.79"></a> +<span class="sourceLineNo">080</span> final int pJ = j - 1;<a name="line.80"></a> +<span class="sourceLineNo">081</span><a name="line.81"></a> +<span class="sourceLineNo">082</span> final double nY = yval[nJ];<a name="line.82"></a> +<span class="sourceLineNo">083</span> final double pY = yval[pJ];<a name="line.83"></a> +<span class="sourceLineNo">084</span><a name="line.84"></a> +<span class="sourceLineNo">085</span> final double deltaY = nY - pY;<a name="line.85"></a> +<span class="sourceLineNo">086</span><a name="line.86"></a> +<span class="sourceLineNo">087</span> dFdX[i][j] = (fval[nI][j] - fval[pI][j]) / deltaX;<a name="line.87"></a> +<span class="sourceLineNo">088</span> dFdY[i][j] = (fval[i][nJ] - fval[i][pJ]) / deltaY;<a name="line.88"></a> +<span class="sourceLineNo">089</span><a name="line.89"></a> +<span class="sourceLineNo">090</span> final double deltaXY = deltaX * deltaY;<a name="line.90"></a> +<span class="sourceLineNo">091</span><a name="line.91"></a> +<span class="sourceLineNo">092</span> d2FdXdY[i][j] = (fval[nI][nJ] - fval[nI][pJ] - fval[pI][nJ] + fval[pI][pJ]) / deltaXY;<a name="line.92"></a> +<span class="sourceLineNo">093</span> }<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> // Create the interpolating function.<a name="line.96"></a> +<span class="sourceLineNo">097</span> return new BicubicInterpolatingFunction(xval, yval, fval,<a name="line.97"></a> +<span class="sourceLineNo">098</span> dFdX, dFdY, d2FdXdY) {<a name="line.98"></a> +<span class="sourceLineNo">099</span> @Override<a name="line.99"></a> +<span class="sourceLineNo">100</span> public boolean isValidPoint(double x, double y) {<a name="line.100"></a> +<span class="sourceLineNo">101</span> if (x < xval[1] ||<a name="line.101"></a> +<span class="sourceLineNo">102</span> x > xval[xval.length - 2] ||<a name="line.102"></a> +<span class="sourceLineNo">103</span> y < yval[1] ||<a name="line.103"></a> +<span class="sourceLineNo">104</span> y > yval[yval.length - 2]) {<a name="line.104"></a> +<span class="sourceLineNo">105</span> return false;<a name="line.105"></a> +<span class="sourceLineNo">106</span> } else {<a name="line.106"></a> +<span class="sourceLineNo">107</span> return true;<a name="line.107"></a> +<span class="sourceLineNo">108</span> }<a name="line.108"></a> +<span class="sourceLineNo">109</span> }<a name="line.109"></a> +<span class="sourceLineNo">110</span> };<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> + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +</pre> +</div> +</body> +</html> Propchange: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/BicubicInterpolator.html ------------------------------------------------------------------------------ svn:eol-style = native Added: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolatingFunction.html ============================================================================== --- websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolatingFunction.html (added) +++ websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolatingFunction.html Tue Dec 30 17:15:36 2014 @@ -0,0 +1,282 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<html lang="en"> +<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.analysis.interpolation;<a name="line.17"></a> +<span class="sourceLineNo">018</span><a name="line.18"></a> +<span class="sourceLineNo">019</span>import java.util.Arrays;<a name="line.19"></a> +<span class="sourceLineNo">020</span>import org.apache.commons.math3.analysis.BivariateFunction;<a name="line.20"></a> +<span class="sourceLineNo">021</span>import org.apache.commons.math3.analysis.polynomials.PolynomialSplineFunction;<a name="line.21"></a> +<span class="sourceLineNo">022</span>import org.apache.commons.math3.exception.DimensionMismatchException;<a name="line.22"></a> +<span class="sourceLineNo">023</span>import org.apache.commons.math3.exception.InsufficientDataException;<a name="line.23"></a> +<span class="sourceLineNo">024</span>import org.apache.commons.math3.exception.NoDataException;<a name="line.24"></a> +<span class="sourceLineNo">025</span>import org.apache.commons.math3.exception.NullArgumentException;<a name="line.25"></a> +<span class="sourceLineNo">026</span>import org.apache.commons.math3.exception.OutOfRangeException;<a name="line.26"></a> +<span class="sourceLineNo">027</span>import org.apache.commons.math3.exception.NonMonotonicSequenceException;<a name="line.27"></a> +<span class="sourceLineNo">028</span>import org.apache.commons.math3.util.MathArrays;<a name="line.28"></a> +<span class="sourceLineNo">029</span><a name="line.29"></a> +<span class="sourceLineNo">030</span>/**<a name="line.30"></a> +<span class="sourceLineNo">031</span> * Function that implements the<a name="line.31"></a> +<span class="sourceLineNo">032</span> * <a href="http://www.paulinternet.nl/?page=bicubic">bicubic spline</a><a name="line.32"></a> +<span class="sourceLineNo">033</span> * interpolation.<a name="line.33"></a> +<span class="sourceLineNo">034</span> * This implementation currently uses {@link AkimaSplineInterpolator} as the<a name="line.34"></a> +<span class="sourceLineNo">035</span> * underlying one-dimensional interpolator, which requires 5 sample points;<a name="line.35"></a> +<span class="sourceLineNo">036</span> * insufficient data will raise an exception when the<a name="line.36"></a> +<span class="sourceLineNo">037</span> * {@link #value(double,double) value} method is called.<a name="line.37"></a> +<span class="sourceLineNo">038</span> *<a name="line.38"></a> +<span class="sourceLineNo">039</span> * @since 3.4<a name="line.39"></a> +<span class="sourceLineNo">040</span> */<a name="line.40"></a> +<span class="sourceLineNo">041</span>public class PiecewiseBicubicSplineInterpolatingFunction<a name="line.41"></a> +<span class="sourceLineNo">042</span> implements BivariateFunction {<a name="line.42"></a> +<span class="sourceLineNo">043</span> /** The minimum number of points that are needed to compute the function. */<a name="line.43"></a> +<span class="sourceLineNo">044</span> private static final int MIN_NUM_POINTS = 5;<a name="line.44"></a> +<span class="sourceLineNo">045</span> /** Samples x-coordinates */<a name="line.45"></a> +<span class="sourceLineNo">046</span> private final double[] xval;<a name="line.46"></a> +<span class="sourceLineNo">047</span> /** Samples y-coordinates */<a name="line.47"></a> +<span class="sourceLineNo">048</span> private final double[] yval;<a name="line.48"></a> +<span class="sourceLineNo">049</span> /** Set of cubic splines patching the whole data grid */<a name="line.49"></a> +<span class="sourceLineNo">050</span> private final double[][] fval;<a name="line.50"></a> +<span class="sourceLineNo">051</span><a name="line.51"></a> +<span class="sourceLineNo">052</span> /**<a name="line.52"></a> +<span class="sourceLineNo">053</span> * @param x Sample values of the x-coordinate, in increasing order.<a name="line.53"></a> +<span class="sourceLineNo">054</span> * @param y Sample values of the y-coordinate, in increasing order.<a name="line.54"></a> +<span class="sourceLineNo">055</span> * @param f Values of the function on every grid point. the expected number<a name="line.55"></a> +<span class="sourceLineNo">056</span> * of elements.<a name="line.56"></a> +<span class="sourceLineNo">057</span> * @throws NonMonotonicSequenceException if {@code x} or {@code y} are not<a name="line.57"></a> +<span class="sourceLineNo">058</span> * strictly increasing.<a name="line.58"></a> +<span class="sourceLineNo">059</span> * @throws NullArgumentException if any of the arguments are null<a name="line.59"></a> +<span class="sourceLineNo">060</span> * @throws NoDataException if any of the arrays has zero length.<a name="line.60"></a> +<span class="sourceLineNo">061</span> * @throws DimensionMismatchException if the length of x and y don't match the row, column<a name="line.61"></a> +<span class="sourceLineNo">062</span> * height of f<a name="line.62"></a> +<span class="sourceLineNo">063</span> */<a name="line.63"></a> +<span class="sourceLineNo">064</span> public PiecewiseBicubicSplineInterpolatingFunction(double[] x,<a name="line.64"></a> +<span class="sourceLineNo">065</span> double[] y,<a name="line.65"></a> +<span class="sourceLineNo">066</span> double[][] f)<a name="line.66"></a> +<span class="sourceLineNo">067</span> throws DimensionMismatchException,<a name="line.67"></a> +<span class="sourceLineNo">068</span> NullArgumentException,<a name="line.68"></a> +<span class="sourceLineNo">069</span> NoDataException,<a name="line.69"></a> +<span class="sourceLineNo">070</span> NonMonotonicSequenceException {<a name="line.70"></a> +<span class="sourceLineNo">071</span> if (x == null ||<a name="line.71"></a> +<span class="sourceLineNo">072</span> y == null ||<a name="line.72"></a> +<span class="sourceLineNo">073</span> f == null ||<a name="line.73"></a> +<span class="sourceLineNo">074</span> f[0] == null) {<a name="line.74"></a> +<span class="sourceLineNo">075</span> throw new NullArgumentException();<a name="line.75"></a> +<span class="sourceLineNo">076</span> }<a name="line.76"></a> +<span class="sourceLineNo">077</span><a name="line.77"></a> +<span class="sourceLineNo">078</span> final int xLen = x.length;<a name="line.78"></a> +<span class="sourceLineNo">079</span> final int yLen = y.length;<a name="line.79"></a> +<span class="sourceLineNo">080</span><a name="line.80"></a> +<span class="sourceLineNo">081</span> if (xLen == 0 ||<a name="line.81"></a> +<span class="sourceLineNo">082</span> yLen == 0 ||<a name="line.82"></a> +<span class="sourceLineNo">083</span> f.length == 0 ||<a name="line.83"></a> +<span class="sourceLineNo">084</span> f[0].length == 0) {<a name="line.84"></a> +<span class="sourceLineNo">085</span> throw new NoDataException();<a name="line.85"></a> +<span class="sourceLineNo">086</span> }<a name="line.86"></a> +<span class="sourceLineNo">087</span><a name="line.87"></a> +<span class="sourceLineNo">088</span> if (xLen < MIN_NUM_POINTS ||<a name="line.88"></a> +<span class="sourceLineNo">089</span> yLen < MIN_NUM_POINTS ||<a name="line.89"></a> +<span class="sourceLineNo">090</span> f.length < MIN_NUM_POINTS ||<a name="line.90"></a> +<span class="sourceLineNo">091</span> f[0].length < MIN_NUM_POINTS) {<a name="line.91"></a> +<span class="sourceLineNo">092</span> throw new InsufficientDataException();<a name="line.92"></a> +<span class="sourceLineNo">093</span> }<a name="line.93"></a> +<span class="sourceLineNo">094</span><a name="line.94"></a> +<span class="sourceLineNo">095</span> if (xLen != f.length) {<a name="line.95"></a> +<span class="sourceLineNo">096</span> throw new DimensionMismatchException(xLen, f.length);<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> if (yLen != f[0].length) {<a name="line.99"></a> +<span class="sourceLineNo">100</span> throw new DimensionMismatchException(yLen, f[0].length);<a name="line.100"></a> +<span class="sourceLineNo">101</span> }<a name="line.101"></a> +<span class="sourceLineNo">102</span><a name="line.102"></a> +<span class="sourceLineNo">103</span> MathArrays.checkOrder(x);<a name="line.103"></a> +<span class="sourceLineNo">104</span> MathArrays.checkOrder(y);<a name="line.104"></a> +<span class="sourceLineNo">105</span><a name="line.105"></a> +<span class="sourceLineNo">106</span> xval = x.clone();<a name="line.106"></a> +<span class="sourceLineNo">107</span> yval = y.clone();<a name="line.107"></a> +<span class="sourceLineNo">108</span> fval = f.clone();<a name="line.108"></a> +<span class="sourceLineNo">109</span> }<a name="line.109"></a> +<span class="sourceLineNo">110</span><a name="line.110"></a> +<span class="sourceLineNo">111</span> /**<a name="line.111"></a> +<span class="sourceLineNo">112</span> * {@inheritDoc}<a name="line.112"></a> +<span class="sourceLineNo">113</span> */<a name="line.113"></a> +<span class="sourceLineNo">114</span> public double value(double x,<a name="line.114"></a> +<span class="sourceLineNo">115</span> double y)<a name="line.115"></a> +<span class="sourceLineNo">116</span> throws OutOfRangeException {<a name="line.116"></a> +<span class="sourceLineNo">117</span> final AkimaSplineInterpolator interpolator = new AkimaSplineInterpolator();<a name="line.117"></a> +<span class="sourceLineNo">118</span> final int offset = 2;<a name="line.118"></a> +<span class="sourceLineNo">119</span> final int count = offset + 3;<a name="line.119"></a> +<span class="sourceLineNo">120</span> final int i = searchIndex(x, xval, offset, count);<a name="line.120"></a> +<span class="sourceLineNo">121</span> final int j = searchIndex(y, yval, offset, count);<a name="line.121"></a> +<span class="sourceLineNo">122</span><a name="line.122"></a> +<span class="sourceLineNo">123</span> final double xArray[] = new double[count];<a name="line.123"></a> +<span class="sourceLineNo">124</span> final double yArray[] = new double[count];<a name="line.124"></a> +<span class="sourceLineNo">125</span> final double zArray[] = new double[count];<a name="line.125"></a> +<span class="sourceLineNo">126</span> final double interpArray[] = new double[count];<a name="line.126"></a> +<span class="sourceLineNo">127</span><a name="line.127"></a> +<span class="sourceLineNo">128</span> for (int index = 0; index < count; index++) {<a name="line.128"></a> +<span class="sourceLineNo">129</span> xArray[index] = xval[i + index];<a name="line.129"></a> +<span class="sourceLineNo">130</span> yArray[index] = yval[j + index];<a name="line.130"></a> +<span class="sourceLineNo">131</span> }<a name="line.131"></a> +<span class="sourceLineNo">132</span><a name="line.132"></a> +<span class="sourceLineNo">133</span> for (int zIndex = 0; zIndex < count; zIndex++) {<a name="line.133"></a> +<span class="sourceLineNo">134</span> for (int index = 0; index < count; index++) {<a name="line.134"></a> +<span class="sourceLineNo">135</span> zArray[index] = fval[i + index][j + zIndex];<a name="line.135"></a> +<span class="sourceLineNo">136</span> }<a name="line.136"></a> +<span class="sourceLineNo">137</span> final PolynomialSplineFunction spline = interpolator.interpolate(xArray, zArray);<a name="line.137"></a> +<span class="sourceLineNo">138</span> interpArray[zIndex] = spline.value(x);<a name="line.138"></a> +<span class="sourceLineNo">139</span> }<a name="line.139"></a> +<span class="sourceLineNo">140</span><a name="line.140"></a> +<span class="sourceLineNo">141</span> final PolynomialSplineFunction spline = interpolator.interpolate(yArray, interpArray);<a name="line.141"></a> +<span class="sourceLineNo">142</span><a name="line.142"></a> +<span class="sourceLineNo">143</span> double returnValue = spline.value(y);<a name="line.143"></a> +<span class="sourceLineNo">144</span><a name="line.144"></a> +<span class="sourceLineNo">145</span> return returnValue;<a name="line.145"></a> +<span class="sourceLineNo">146</span> }<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> * Indicates whether a point is within the interpolation range.<a name="line.149"></a> +<span class="sourceLineNo">150</span> *<a name="line.150"></a> +<span class="sourceLineNo">151</span> * @param x First coordinate.<a name="line.151"></a> +<span class="sourceLineNo">152</span> * @param y Second coordinate.<a name="line.152"></a> +<span class="sourceLineNo">153</span> * @return {@code true} if (x, y) is a valid point.<a name="line.153"></a> +<span class="sourceLineNo">154</span> * @since 3.3<a name="line.154"></a> +<span class="sourceLineNo">155</span> */<a name="line.155"></a> +<span class="sourceLineNo">156</span> public boolean isValidPoint(double x,<a name="line.156"></a> +<span class="sourceLineNo">157</span> double y) {<a name="line.157"></a> +<span class="sourceLineNo">158</span> if (x < xval[0] ||<a name="line.158"></a> +<span class="sourceLineNo">159</span> x > xval[xval.length - 1] ||<a name="line.159"></a> +<span class="sourceLineNo">160</span> y < yval[0] ||<a name="line.160"></a> +<span class="sourceLineNo">161</span> y > yval[yval.length - 1]) {<a name="line.161"></a> +<span class="sourceLineNo">162</span> return false;<a name="line.162"></a> +<span class="sourceLineNo">163</span> } else {<a name="line.163"></a> +<span class="sourceLineNo">164</span> return true;<a name="line.164"></a> +<span class="sourceLineNo">165</span> }<a name="line.165"></a> +<span class="sourceLineNo">166</span> }<a name="line.166"></a> +<span class="sourceLineNo">167</span><a name="line.167"></a> +<span class="sourceLineNo">168</span> /**<a name="line.168"></a> +<span class="sourceLineNo">169</span> * @param c Coordinate.<a name="line.169"></a> +<span class="sourceLineNo">170</span> * @param val Coordinate samples.<a name="line.170"></a> +<span class="sourceLineNo">171</span> * @param offset how far back from found value to offset for querying<a name="line.171"></a> +<span class="sourceLineNo">172</span> * @param count total number of elements forward from beginning that will be<a name="line.172"></a> +<span class="sourceLineNo">173</span> * queried<a name="line.173"></a> +<span class="sourceLineNo">174</span> * @return the index in {@code val} corresponding to the interval containing<a name="line.174"></a> +<span class="sourceLineNo">175</span> * {@code c}.<a name="line.175"></a> +<span class="sourceLineNo">176</span> * @throws OutOfRangeException if {@code c} is out of the range defined by<a name="line.176"></a> +<span class="sourceLineNo">177</span> * the boundary values of {@code val}.<a name="line.177"></a> +<span class="sourceLineNo">178</span> */<a name="line.178"></a> +<span class="sourceLineNo">179</span> private int searchIndex(double c,<a name="line.179"></a> +<span class="sourceLineNo">180</span> double[] val,<a name="line.180"></a> +<span class="sourceLineNo">181</span> int offset,<a name="line.181"></a> +<span class="sourceLineNo">182</span> int count) {<a name="line.182"></a> +<span class="sourceLineNo">183</span> int r = Arrays.binarySearch(val, c);<a name="line.183"></a> +<span class="sourceLineNo">184</span><a name="line.184"></a> +<span class="sourceLineNo">185</span> if (r == -1 || r == -val.length - 1) {<a name="line.185"></a> +<span class="sourceLineNo">186</span> throw new OutOfRangeException(c, val[0], val[val.length - 1]);<a name="line.186"></a> +<span class="sourceLineNo">187</span> }<a name="line.187"></a> +<span class="sourceLineNo">188</span><a name="line.188"></a> +<span class="sourceLineNo">189</span> if (r < 0) {<a name="line.189"></a> +<span class="sourceLineNo">190</span> // "c" in within an interpolation sub-interval, which returns<a name="line.190"></a> +<span class="sourceLineNo">191</span> // negative<a name="line.191"></a> +<span class="sourceLineNo">192</span> // need to remove the negative sign for consistency<a name="line.192"></a> +<span class="sourceLineNo">193</span> r = -r - offset - 1;<a name="line.193"></a> +<span class="sourceLineNo">194</span> } else {<a name="line.194"></a> +<span class="sourceLineNo">195</span> r -= offset;<a name="line.195"></a> +<span class="sourceLineNo">196</span> }<a name="line.196"></a> +<span class="sourceLineNo">197</span><a name="line.197"></a> +<span class="sourceLineNo">198</span> if (r < 0) {<a name="line.198"></a> +<span class="sourceLineNo">199</span> r = 0;<a name="line.199"></a> +<span class="sourceLineNo">200</span> }<a name="line.200"></a> +<span class="sourceLineNo">201</span><a name="line.201"></a> +<span class="sourceLineNo">202</span> if ((r + count) >= val.length) {<a name="line.202"></a> +<span class="sourceLineNo">203</span> // "c" is the last sample of the range: Return the index<a name="line.203"></a> +<span class="sourceLineNo">204</span> // of the sample at the lower end of the last sub-interval.<a name="line.204"></a> +<span class="sourceLineNo">205</span> r = val.length - count;<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> return r;<a name="line.208"></a> +<span class="sourceLineNo">209</span> }<a name="line.209"></a> +<span class="sourceLineNo">210</span>}<a name="line.210"></a> + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +</pre> +</div> +</body> +</html> Propchange: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolatingFunction.html ------------------------------------------------------------------------------ svn:eol-style = native Added: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolator.html ============================================================================== --- websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolator.html (added) +++ websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolator.html Tue Dec 30 17:15:36 2014 @@ -0,0 +1,133 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<html lang="en"> +<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.analysis.interpolation;<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.DimensionMismatchException;<a name="line.19"></a> +<span class="sourceLineNo">020</span>import org.apache.commons.math3.exception.NoDataException;<a name="line.20"></a> +<span class="sourceLineNo">021</span>import org.apache.commons.math3.exception.NonMonotonicSequenceException;<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>import org.apache.commons.math3.util.MathArrays;<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> * Generates a piecewise-bicubic interpolating function.<a name="line.26"></a> +<span class="sourceLineNo">027</span> *<a name="line.27"></a> +<span class="sourceLineNo">028</span> * @since 2.2<a name="line.28"></a> +<span class="sourceLineNo">029</span> */<a name="line.29"></a> +<span class="sourceLineNo">030</span>public class PiecewiseBicubicSplineInterpolator<a name="line.30"></a> +<span class="sourceLineNo">031</span> implements BivariateGridInterpolator {<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> */<a name="line.35"></a> +<span class="sourceLineNo">036</span> public PiecewiseBicubicSplineInterpolatingFunction interpolate( final double[] xval,<a name="line.36"></a> +<span class="sourceLineNo">037</span> final double[] yval,<a name="line.37"></a> +<span class="sourceLineNo">038</span> final double[][] fval)<a name="line.38"></a> +<span class="sourceLineNo">039</span> throws DimensionMismatchException,<a name="line.39"></a> +<span class="sourceLineNo">040</span> NullArgumentException,<a name="line.40"></a> +<span class="sourceLineNo">041</span> NoDataException,<a name="line.41"></a> +<span class="sourceLineNo">042</span> NonMonotonicSequenceException {<a name="line.42"></a> +<span class="sourceLineNo">043</span> if ( xval == null ||<a name="line.43"></a> +<span class="sourceLineNo">044</span> yval == null ||<a name="line.44"></a> +<span class="sourceLineNo">045</span> fval == null ||<a name="line.45"></a> +<span class="sourceLineNo">046</span> fval[0] == null ) {<a name="line.46"></a> +<span class="sourceLineNo">047</span> throw new NullArgumentException();<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> if ( xval.length == 0 ||<a name="line.50"></a> +<span class="sourceLineNo">051</span> yval.length == 0 ||<a name="line.51"></a> +<span class="sourceLineNo">052</span> fval.length == 0 ) {<a name="line.52"></a> +<span class="sourceLineNo">053</span> throw new NoDataException();<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> MathArrays.checkOrder(xval);<a name="line.56"></a> +<span class="sourceLineNo">057</span> MathArrays.checkOrder(yval);<a name="line.57"></a> +<span class="sourceLineNo">058</span><a name="line.58"></a> +<span class="sourceLineNo">059</span> return new PiecewiseBicubicSplineInterpolatingFunction( xval, yval, fval );<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> + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +</pre> +</div> +</body> +</html> Propchange: websites/production/commons/content/proper/commons-math/apidocs/src-html/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolator.html ------------------------------------------------------------------------------ svn:eol-style = native