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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.InsufficientDataException;<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.analysis.BivariateFunction;<a name="line.23"></a> -<span class="sourceLineNo">024</span>import org.apache.commons.math3.distribution.UniformRealDistribution;<a name="line.24"></a> -<span class="sourceLineNo">025</span>import org.apache.commons.math3.random.RandomGenerator;<a name="line.25"></a> -<span class="sourceLineNo">026</span>import org.apache.commons.math3.random.Well19937c;<a name="line.26"></a> -<span class="sourceLineNo">027</span>import org.apache.commons.math3.util.FastMath;<a name="line.27"></a> -<span class="sourceLineNo">028</span>import org.apache.commons.math3.util.Precision;<a name="line.28"></a> -<span class="sourceLineNo">029</span>import org.junit.Assert;<a name="line.29"></a> -<span class="sourceLineNo">030</span>import org.junit.Test;<a name="line.30"></a> -<span class="sourceLineNo">031</span><a name="line.31"></a> -<span class="sourceLineNo">032</span>/**<a name="line.32"></a> -<span class="sourceLineNo">033</span> * Test case for the piecewise bicubic function.<a name="line.33"></a> -<span class="sourceLineNo">034</span> */<a name="line.34"></a> -<span class="sourceLineNo">035</span>public final class PiecewiseBicubicSplineInterpolatingFunctionTest {<a name="line.35"></a> -<span class="sourceLineNo">036</span> /**<a name="line.36"></a> -<span class="sourceLineNo">037</span> * Test preconditions.<a name="line.37"></a> -<span class="sourceLineNo">038</span> */<a name="line.38"></a> -<span class="sourceLineNo">039</span> @Test<a name="line.39"></a> -<span class="sourceLineNo">040</span> public void testPreconditions() {<a name="line.40"></a> -<span class="sourceLineNo">041</span> double[] xval = new double[] { 3, 4, 5, 6.5, 7.5 };<a name="line.41"></a> -<span class="sourceLineNo">042</span> double[] yval = new double[] { -4, -3, -1, 2.5, 3.5 };<a name="line.42"></a> -<span class="sourceLineNo">043</span> double[][] zval = new double[xval.length][yval.length];<a name="line.43"></a> -<span class="sourceLineNo">044</span><a name="line.44"></a> -<span class="sourceLineNo">045</span> @SuppressWarnings("unused")<a name="line.45"></a> -<span class="sourceLineNo">046</span> PiecewiseBicubicSplineInterpolatingFunction bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, yval, zval);<a name="line.46"></a> -<span class="sourceLineNo">047</span><a name="line.47"></a> -<span class="sourceLineNo">048</span> try {<a name="line.48"></a> -<span class="sourceLineNo">049</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(null, yval, zval);<a name="line.49"></a> -<span class="sourceLineNo">050</span> Assert.fail("Failed to detect x null pointer");<a name="line.50"></a> -<span class="sourceLineNo">051</span> } catch (NullArgumentException iae) {<a name="line.51"></a> -<span class="sourceLineNo">052</span> // Expected.<a name="line.52"></a> -<span class="sourceLineNo">053</span> }<a name="line.53"></a> -<span class="sourceLineNo">054</span><a name="line.54"></a> -<span class="sourceLineNo">055</span> try {<a name="line.55"></a> -<span class="sourceLineNo">056</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, null, zval);<a name="line.56"></a> -<span class="sourceLineNo">057</span> Assert.fail("Failed to detect y null pointer");<a name="line.57"></a> -<span class="sourceLineNo">058</span> } catch (NullArgumentException iae) {<a name="line.58"></a> -<span class="sourceLineNo">059</span> // Expected.<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> try {<a name="line.62"></a> -<span class="sourceLineNo">063</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, yval, null);<a name="line.63"></a> -<span class="sourceLineNo">064</span> Assert.fail("Failed to detect z null pointer");<a name="line.64"></a> -<span class="sourceLineNo">065</span> } catch (NullArgumentException iae) {<a name="line.65"></a> -<span class="sourceLineNo">066</span> // Expected.<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> try {<a name="line.69"></a> -<span class="sourceLineNo">070</span> double xval1[] = { 0.0, 1.0, 2.0, 3.0 };<a name="line.70"></a> -<span class="sourceLineNo">071</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval1, yval, zval);<a name="line.71"></a> -<span class="sourceLineNo">072</span> Assert.fail("Failed to detect insufficient x data");<a name="line.72"></a> -<span class="sourceLineNo">073</span> } catch (InsufficientDataException iae) {<a name="line.73"></a> -<span class="sourceLineNo">074</span> // Expected.<a name="line.74"></a> -<span class="sourceLineNo">075</span> }<a name="line.75"></a> -<span class="sourceLineNo">076</span><a name="line.76"></a> -<span class="sourceLineNo">077</span> try {<a name="line.77"></a> -<span class="sourceLineNo">078</span> double yval1[] = { 0.0, 1.0, 2.0, 3.0 };<a name="line.78"></a> -<span class="sourceLineNo">079</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, yval1, zval);<a name="line.79"></a> -<span class="sourceLineNo">080</span> Assert.fail("Failed to detect insufficient y data");<a name="line.80"></a> -<span class="sourceLineNo">081</span> } catch (InsufficientDataException iae) {<a name="line.81"></a> -<span class="sourceLineNo">082</span> // Expected.<a name="line.82"></a> -<span class="sourceLineNo">083</span> }<a name="line.83"></a> -<span class="sourceLineNo">084</span><a name="line.84"></a> -<span class="sourceLineNo">085</span> try {<a name="line.85"></a> -<span class="sourceLineNo">086</span> double zval1[][] = new double[4][4];<a name="line.86"></a> -<span class="sourceLineNo">087</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, yval, zval1);<a name="line.87"></a> -<span class="sourceLineNo">088</span> Assert.fail("Failed to detect insufficient z data");<a name="line.88"></a> -<span class="sourceLineNo">089</span> } catch (InsufficientDataException iae) {<a name="line.89"></a> -<span class="sourceLineNo">090</span> // Expected.<a name="line.90"></a> -<span class="sourceLineNo">091</span> }<a name="line.91"></a> -<span class="sourceLineNo">092</span><a name="line.92"></a> -<span class="sourceLineNo">093</span> try {<a name="line.93"></a> -<span class="sourceLineNo">094</span> double xval1[] = { 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 };<a name="line.94"></a> -<span class="sourceLineNo">095</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval1, yval, zval);<a name="line.95"></a> -<span class="sourceLineNo">096</span> Assert.fail("Failed to detect data set array with different sizes.");<a name="line.96"></a> -<span class="sourceLineNo">097</span> } catch (DimensionMismatchException iae) {<a name="line.97"></a> -<span class="sourceLineNo">098</span> // Expected.<a name="line.98"></a> -<span class="sourceLineNo">099</span> }<a name="line.99"></a> -<span class="sourceLineNo">100</span><a name="line.100"></a> -<span class="sourceLineNo">101</span> try {<a name="line.101"></a> -<span class="sourceLineNo">102</span> double yval1[] = { 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 };<a name="line.102"></a> -<span class="sourceLineNo">103</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, yval1, zval);<a name="line.103"></a> -<span class="sourceLineNo">104</span> Assert.fail("Failed to detect data set array with different sizes.");<a name="line.104"></a> -<span class="sourceLineNo">105</span> } catch (DimensionMismatchException iae) {<a name="line.105"></a> -<span class="sourceLineNo">106</span> // Expected.<a name="line.106"></a> -<span class="sourceLineNo">107</span> }<a name="line.107"></a> -<span class="sourceLineNo">108</span><a name="line.108"></a> -<span class="sourceLineNo">109</span> // X values not sorted.<a name="line.109"></a> -<span class="sourceLineNo">110</span> try {<a name="line.110"></a> -<span class="sourceLineNo">111</span> double xval1[] = { 0.0, 1.0, 0.5, 7.0, 3.5 };<a name="line.111"></a> -<span class="sourceLineNo">112</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval1, yval, zval);<a name="line.112"></a> -<span class="sourceLineNo">113</span> Assert.fail("Failed to detect unsorted x arguments.");<a name="line.113"></a> -<span class="sourceLineNo">114</span> } catch (NonMonotonicSequenceException iae) {<a name="line.114"></a> -<span class="sourceLineNo">115</span> // Expected.<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> // Y values not sorted.<a name="line.118"></a> -<span class="sourceLineNo">119</span> try {<a name="line.119"></a> -<span class="sourceLineNo">120</span> double yval1[] = { 0.0, 1.0, 1.5, 0.0, 3.0 };<a name="line.120"></a> -<span class="sourceLineNo">121</span> bcf = new PiecewiseBicubicSplineInterpolatingFunction(xval, yval1, zval);<a name="line.121"></a> -<span class="sourceLineNo">122</span> Assert.fail("Failed to detect unsorted y arguments.");<a name="line.122"></a> -<span class="sourceLineNo">123</span> } catch (NonMonotonicSequenceException iae) {<a name="line.123"></a> -<span class="sourceLineNo">124</span> // Expected.<a name="line.124"></a> -<span class="sourceLineNo">125</span> }<a name="line.125"></a> -<span class="sourceLineNo">126</span> }<a name="line.126"></a> -<span class="sourceLineNo">127</span><a name="line.127"></a> -<span class="sourceLineNo">128</span> /**<a name="line.128"></a> -<span class="sourceLineNo">129</span> * Interpolating a plane.<a name="line.129"></a> -<span class="sourceLineNo">130</span> * <p><a name="line.130"></a> -<span class="sourceLineNo">131</span> * z = 2 x - 3 y + 5<a name="line.131"></a> -<span class="sourceLineNo">132</span> */<a name="line.132"></a> -<span class="sourceLineNo">133</span> @Test<a name="line.133"></a> -<span class="sourceLineNo">134</span> public void testPlane() {<a name="line.134"></a> -<span class="sourceLineNo">135</span> final int numberOfElements = 10;<a name="line.135"></a> -<span class="sourceLineNo">136</span> final double minimumX = -10;<a name="line.136"></a> -<span class="sourceLineNo">137</span> final double maximumX = 10;<a name="line.137"></a> -<span class="sourceLineNo">138</span> final double minimumY = -10;<a name="line.138"></a> -<span class="sourceLineNo">139</span> final double maximumY = 10;<a name="line.139"></a> -<span class="sourceLineNo">140</span> final int numberOfSamples = 100;<a name="line.140"></a> -<span class="sourceLineNo">141</span><a name="line.141"></a> -<span class="sourceLineNo">142</span> final double interpolationTolerance = 7e-15;<a name="line.142"></a> -<span class="sourceLineNo">143</span> final double maxTolerance = 6e-14;<a name="line.143"></a> -<span class="sourceLineNo">144</span><a name="line.144"></a> -<span class="sourceLineNo">145</span> // Function values<a name="line.145"></a> -<span class="sourceLineNo">146</span> BivariateFunction f = new BivariateFunction() {<a name="line.146"></a> -<span class="sourceLineNo">147</span> public double value(double x, double y) {<a name="line.147"></a> -<span class="sourceLineNo">148</span> return 2 * x - 3 * y + 5;<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> testInterpolation(minimumX,<a name="line.152"></a> -<span class="sourceLineNo">153</span> maximumX,<a name="line.153"></a> -<span class="sourceLineNo">154</span> minimumY,<a name="line.154"></a> -<span class="sourceLineNo">155</span> maximumY,<a name="line.155"></a> -<span class="sourceLineNo">156</span> numberOfElements,<a name="line.156"></a> -<span class="sourceLineNo">157</span> numberOfSamples,<a name="line.157"></a> -<span class="sourceLineNo">158</span> f,<a name="line.158"></a> -<span class="sourceLineNo">159</span> interpolationTolerance,<a name="line.159"></a> -<span class="sourceLineNo">160</span> maxTolerance);<a name="line.160"></a> -<span class="sourceLineNo">161</span> }<a name="line.161"></a> -<span class="sourceLineNo">162</span><a name="line.162"></a> -<span class="sourceLineNo">163</span> /**<a name="line.163"></a> -<span class="sourceLineNo">164</span> * Interpolating a paraboloid.<a name="line.164"></a> -<span class="sourceLineNo">165</span> * <p><a name="line.165"></a> -<span class="sourceLineNo">166</span> * z = 2 x<sup>2</sup> - 3 y<sup>2</sup> + 4 x y - 5<a name="line.166"></a> -<span class="sourceLineNo">167</span> */<a name="line.167"></a> -<span class="sourceLineNo">168</span> @Test<a name="line.168"></a> -<span class="sourceLineNo">169</span> public void testParabaloid() {<a name="line.169"></a> -<span class="sourceLineNo">170</span> final int numberOfElements = 10;<a name="line.170"></a> -<span class="sourceLineNo">171</span> final double minimumX = -10;<a name="line.171"></a> -<span class="sourceLineNo">172</span> final double maximumX = 10;<a name="line.172"></a> -<span class="sourceLineNo">173</span> final double minimumY = -10;<a name="line.173"></a> -<span class="sourceLineNo">174</span> final double maximumY = 10;<a name="line.174"></a> -<span class="sourceLineNo">175</span> final int numberOfSamples = 100;<a name="line.175"></a> -<span class="sourceLineNo">176</span><a name="line.176"></a> -<span class="sourceLineNo">177</span> final double interpolationTolerance = 2e-14;<a name="line.177"></a> -<span class="sourceLineNo">178</span> final double maxTolerance = 6e-14;<a name="line.178"></a> -<span class="sourceLineNo">179</span><a name="line.179"></a> -<span class="sourceLineNo">180</span> // Function values<a name="line.180"></a> -<span class="sourceLineNo">181</span> BivariateFunction f = new BivariateFunction() {<a name="line.181"></a> -<span class="sourceLineNo">182</span> public double value(double x, double y) {<a name="line.182"></a> -<span class="sourceLineNo">183</span> return 2 * x * x - 3 * y * y + 4 * x * y - 5;<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><a name="line.186"></a> -<span class="sourceLineNo">187</span> testInterpolation(minimumX,<a name="line.187"></a> -<span class="sourceLineNo">188</span> maximumX,<a name="line.188"></a> -<span class="sourceLineNo">189</span> minimumY,<a name="line.189"></a> -<span class="sourceLineNo">190</span> maximumY,<a name="line.190"></a> -<span class="sourceLineNo">191</span> numberOfElements,<a name="line.191"></a> -<span class="sourceLineNo">192</span> numberOfSamples,<a name="line.192"></a> -<span class="sourceLineNo">193</span> f,<a name="line.193"></a> -<span class="sourceLineNo">194</span> interpolationTolerance,<a name="line.194"></a> -<span class="sourceLineNo">195</span> maxTolerance);<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> /**<a name="line.198"></a> -<span class="sourceLineNo">199</span> * @param minimumX Lower bound of interpolation range along the x-coordinate.<a name="line.199"></a> -<span class="sourceLineNo">200</span> * @param maximumX Higher bound of interpolation range along the x-coordinate.<a name="line.200"></a> -<span class="sourceLineNo">201</span> * @param minimumY Lower bound of interpolation range along the y-coordinate.<a name="line.201"></a> -<span class="sourceLineNo">202</span> * @param maximumY Higher bound of interpolation range along the y-coordinate.<a name="line.202"></a> -<span class="sourceLineNo">203</span> * @param numberOfElements Number of data points (along each dimension).<a name="line.203"></a> -<span class="sourceLineNo">204</span> * @param numberOfSamples Number of test points.<a name="line.204"></a> -<span class="sourceLineNo">205</span> * @param f Function to test.<a name="line.205"></a> -<span class="sourceLineNo">206</span> * @param meanTolerance Allowed average error (mean error on all interpolated values).<a name="line.206"></a> -<span class="sourceLineNo">207</span> * @param maxTolerance Allowed error on each interpolated value.<a name="line.207"></a> -<span class="sourceLineNo">208</span> */<a name="line.208"></a> -<span class="sourceLineNo">209</span> private void testInterpolation(double minimumX,<a name="line.209"></a> -<span class="sourceLineNo">210</span> double maximumX,<a name="line.210"></a> -<span class="sourceLineNo">211</span> double minimumY,<a name="line.211"></a> -<span class="sourceLineNo">212</span> double maximumY,<a name="line.212"></a> -<span class="sourceLineNo">213</span> int numberOfElements,<a name="line.213"></a> -<span class="sourceLineNo">214</span> int numberOfSamples,<a name="line.214"></a> -<span class="sourceLineNo">215</span> BivariateFunction f,<a name="line.215"></a> -<span class="sourceLineNo">216</span> double meanTolerance,<a name="line.216"></a> -<span class="sourceLineNo">217</span> double maxTolerance) {<a name="line.217"></a> -<span class="sourceLineNo">218</span> double expected;<a name="line.218"></a> -<span class="sourceLineNo">219</span> double actual;<a name="line.219"></a> -<span class="sourceLineNo">220</span> double currentX;<a name="line.220"></a> -<span class="sourceLineNo">221</span> double currentY;<a name="line.221"></a> -<span class="sourceLineNo">222</span> final double deltaX = (maximumX - minimumX) / ((double) numberOfElements);<a name="line.222"></a> -<span class="sourceLineNo">223</span> final double deltaY = (maximumY - minimumY) / ((double) numberOfElements);<a name="line.223"></a> -<span class="sourceLineNo">224</span> final double[] xValues = new double[numberOfElements];<a name="line.224"></a> -<span class="sourceLineNo">225</span> final double[] yValues = new double[numberOfElements];<a name="line.225"></a> -<span class="sourceLineNo">226</span> final double[][] zValues = new double[numberOfElements][numberOfElements];<a name="line.226"></a> -<span class="sourceLineNo">227</span><a name="line.227"></a> -<span class="sourceLineNo">228</span> for (int i = 0; i < numberOfElements; i++) {<a name="line.228"></a> -<span class="sourceLineNo">229</span> xValues[i] = minimumX + deltaX * (double) i;<a name="line.229"></a> -<span class="sourceLineNo">230</span> for (int j = 0; j < numberOfElements; j++) {<a name="line.230"></a> -<span class="sourceLineNo">231</span> yValues[j] = minimumY + deltaY * (double) j;<a name="line.231"></a> -<span class="sourceLineNo">232</span> zValues[i][j] = f.value(xValues[i], yValues[j]);<a name="line.232"></a> -<span class="sourceLineNo">233</span> }<a name="line.233"></a> -<span class="sourceLineNo">234</span> }<a name="line.234"></a> -<span class="sourceLineNo">235</span><a name="line.235"></a> -<span class="sourceLineNo">236</span> final BivariateFunction interpolation<a name="line.236"></a> -<span class="sourceLineNo">237</span> = new PiecewiseBicubicSplineInterpolatingFunction(xValues,<a name="line.237"></a> -<span class="sourceLineNo">238</span> yValues,<a name="line.238"></a> -<span class="sourceLineNo">239</span> zValues);<a name="line.239"></a> -<span class="sourceLineNo">240</span><a name="line.240"></a> -<span class="sourceLineNo">241</span> for (int i = 0; i < numberOfElements; i++) {<a name="line.241"></a> -<span class="sourceLineNo">242</span> currentX = xValues[i];<a name="line.242"></a> -<span class="sourceLineNo">243</span> for (int j = 0; j < numberOfElements; j++) {<a name="line.243"></a> -<span class="sourceLineNo">244</span> currentY = yValues[j];<a name="line.244"></a> -<span class="sourceLineNo">245</span> expected = f.value(currentX, currentY);<a name="line.245"></a> -<span class="sourceLineNo">246</span> actual = interpolation.value(currentX, currentY);<a name="line.246"></a> -<span class="sourceLineNo">247</span> Assert.assertTrue(Precision.equals(expected, actual));<a name="line.247"></a> -<span class="sourceLineNo">248</span> }<a name="line.248"></a> -<span class="sourceLineNo">249</span> }<a name="line.249"></a> -<span class="sourceLineNo">250</span><a name="line.250"></a> -<span class="sourceLineNo">251</span> final RandomGenerator rng = new Well19937c(1234567L);<a name="line.251"></a> -<span class="sourceLineNo">252</span> final UniformRealDistribution distX = new UniformRealDistribution(rng, xValues[0], xValues[xValues.length - 1]);<a name="line.252"></a> -<span class="sourceLineNo">253</span> final UniformRealDistribution distY = new UniformRealDistribution(rng, yValues[0], yValues[yValues.length - 1]);<a name="line.253"></a> -<span class="sourceLineNo">254</span><a name="line.254"></a> -<span class="sourceLineNo">255</span> double sumError = 0;<a name="line.255"></a> -<span class="sourceLineNo">256</span> for (int i = 0; i < numberOfSamples; i++) {<a name="line.256"></a> -<span class="sourceLineNo">257</span> currentX = distX.sample();<a name="line.257"></a> -<span class="sourceLineNo">258</span> currentY = distY.sample();<a name="line.258"></a> -<span class="sourceLineNo">259</span> expected = f.value(currentX, currentY);<a name="line.259"></a> -<span class="sourceLineNo">260</span> actual = interpolation.value(currentX, currentY);<a name="line.260"></a> -<span class="sourceLineNo">261</span> sumError += FastMath.abs(actual - expected);<a name="line.261"></a> -<span class="sourceLineNo">262</span> Assert.assertEquals(expected, actual, maxTolerance);<a name="line.262"></a> -<span class="sourceLineNo">263</span> }<a name="line.263"></a> -<span class="sourceLineNo">264</span><a name="line.264"></a> -<span class="sourceLineNo">265</span> final double meanError = sumError / numberOfSamples;<a name="line.265"></a> -<span class="sourceLineNo">266</span> Assert.assertEquals(0, meanError, meanTolerance);<a name="line.266"></a> -<span class="sourceLineNo">267</span> }<a name="line.267"></a> -<span class="sourceLineNo">268</span>}<a name="line.268"></a> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</pre> -</div> -</body> -</html> http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/06/0629d9f90b637f2566b8b9503de8b61a45c0b67d.svn-base ---------------------------------------------------------------------- diff --git a/site-content/.svn/pristine/06/0629d9f90b637f2566b8b9503de8b61a45c0b67d.svn-base b/site-content/.svn/pristine/06/0629d9f90b637f2566b8b9503de8b61a45c0b67d.svn-base deleted file mode 100644 index e7a2d62..0000000 --- a/site-content/.svn/pristine/06/0629d9f90b637f2566b8b9503de8b61a45c0b67d.svn-base +++ /dev/null @@ -1,223 +0,0 @@ -<!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.optim.univariate;<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.analysis.UnivariateFunction;<a name="line.19"></a> -<span class="sourceLineNo">020</span>import org.apache.commons.math3.optim.BaseOptimizer;<a name="line.20"></a> -<span class="sourceLineNo">021</span>import org.apache.commons.math3.optim.OptimizationData;<a name="line.21"></a> -<span class="sourceLineNo">022</span>import org.apache.commons.math3.optim.nonlinear.scalar.GoalType;<a name="line.22"></a> -<span class="sourceLineNo">023</span>import org.apache.commons.math3.optim.ConvergenceChecker;<a name="line.23"></a> -<span class="sourceLineNo">024</span>import org.apache.commons.math3.exception.TooManyEvaluationsException;<a name="line.24"></a> -<span class="sourceLineNo">025</span><a name="line.25"></a> -<span class="sourceLineNo">026</span>/**<a name="line.26"></a> -<span class="sourceLineNo">027</span> * Base class for a univariate scalar function optimizer.<a name="line.27"></a> -<span class="sourceLineNo">028</span> *<a name="line.28"></a> -<span class="sourceLineNo">029</span> * @since 3.1<a name="line.29"></a> -<span class="sourceLineNo">030</span> */<a name="line.30"></a> -<span class="sourceLineNo">031</span>public abstract class UnivariateOptimizer<a name="line.31"></a> -<span class="sourceLineNo">032</span> extends BaseOptimizer<UnivariatePointValuePair> {<a name="line.32"></a> -<span class="sourceLineNo">033</span> /** Objective function. */<a name="line.33"></a> -<span class="sourceLineNo">034</span> private UnivariateFunction function;<a name="line.34"></a> -<span class="sourceLineNo">035</span> /** Type of optimization. */<a name="line.35"></a> -<span class="sourceLineNo">036</span> private GoalType goal;<a name="line.36"></a> -<span class="sourceLineNo">037</span> /** Initial guess. */<a name="line.37"></a> -<span class="sourceLineNo">038</span> private double start;<a name="line.38"></a> -<span class="sourceLineNo">039</span> /** Lower bound. */<a name="line.39"></a> -<span class="sourceLineNo">040</span> private double min;<a name="line.40"></a> -<span class="sourceLineNo">041</span> /** Upper bound. */<a name="line.41"></a> -<span class="sourceLineNo">042</span> private double max;<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> * @param checker Convergence checker.<a name="line.45"></a> -<span class="sourceLineNo">046</span> */<a name="line.46"></a> -<span class="sourceLineNo">047</span> protected UnivariateOptimizer(ConvergenceChecker<UnivariatePointValuePair> checker) {<a name="line.47"></a> -<span class="sourceLineNo">048</span> super(checker);<a name="line.48"></a> -<span class="sourceLineNo">049</span> }<a name="line.49"></a> -<span class="sourceLineNo">050</span><a name="line.50"></a> -<span class="sourceLineNo">051</span> /**<a name="line.51"></a> -<span class="sourceLineNo">052</span> * {@inheritDoc}<a name="line.52"></a> -<span class="sourceLineNo">053</span> *<a name="line.53"></a> -<span class="sourceLineNo">054</span> * @param optData Optimization data. In addition to those documented in<a name="line.54"></a> -<span class="sourceLineNo">055</span> * {@link BaseOptimizer#parseOptimizationData(OptimizationData[])<a name="line.55"></a> -<span class="sourceLineNo">056</span> * BaseOptimizer}, this method will register the following data:<a name="line.56"></a> -<span class="sourceLineNo">057</span> * <ul><a name="line.57"></a> -<span class="sourceLineNo">058</span> * <li>{@link GoalType}</li><a name="line.58"></a> -<span class="sourceLineNo">059</span> * <li>{@link SearchInterval}</li><a name="line.59"></a> -<span class="sourceLineNo">060</span> * <li>{@link UnivariateObjectiveFunction}</li><a name="line.60"></a> -<span class="sourceLineNo">061</span> * </ul><a name="line.61"></a> -<span class="sourceLineNo">062</span> * @return {@inheritDoc}<a name="line.62"></a> -<span class="sourceLineNo">063</span> * @throws TooManyEvaluationsException if the maximal number of<a name="line.63"></a> -<span class="sourceLineNo">064</span> * evaluations is exceeded.<a name="line.64"></a> -<span class="sourceLineNo">065</span> */<a name="line.65"></a> -<span class="sourceLineNo">066</span> @Override<a name="line.66"></a> -<span class="sourceLineNo">067</span> public UnivariatePointValuePair optimize(OptimizationData... optData)<a name="line.67"></a> -<span class="sourceLineNo">068</span> throws TooManyEvaluationsException {<a name="line.68"></a> -<span class="sourceLineNo">069</span> // Perform computation.<a name="line.69"></a> -<span class="sourceLineNo">070</span> return super.optimize(optData);<a name="line.70"></a> -<span class="sourceLineNo">071</span> }<a name="line.71"></a> -<span class="sourceLineNo">072</span><a name="line.72"></a> -<span class="sourceLineNo">073</span> /**<a name="line.73"></a> -<span class="sourceLineNo">074</span> * @return the optimization type.<a name="line.74"></a> -<span class="sourceLineNo">075</span> */<a name="line.75"></a> -<span class="sourceLineNo">076</span> public GoalType getGoalType() {<a name="line.76"></a> -<span class="sourceLineNo">077</span> return goal;<a name="line.77"></a> -<span class="sourceLineNo">078</span> }<a name="line.78"></a> -<span class="sourceLineNo">079</span><a name="line.79"></a> -<span class="sourceLineNo">080</span> /**<a name="line.80"></a> -<span class="sourceLineNo">081</span> * Scans the list of (required and optional) optimization data that<a name="line.81"></a> -<span class="sourceLineNo">082</span> * characterize the problem.<a name="line.82"></a> -<span class="sourceLineNo">083</span> *<a name="line.83"></a> -<span class="sourceLineNo">084</span> * @param optData Optimization data.<a name="line.84"></a> -<span class="sourceLineNo">085</span> * The following data will be looked for:<a name="line.85"></a> -<span class="sourceLineNo">086</span> * <ul><a name="line.86"></a> -<span class="sourceLineNo">087</span> * <li>{@link GoalType}</li><a name="line.87"></a> -<span class="sourceLineNo">088</span> * <li>{@link SearchInterval}</li><a name="line.88"></a> -<span class="sourceLineNo">089</span> * <li>{@link UnivariateObjectiveFunction}</li><a name="line.89"></a> -<span class="sourceLineNo">090</span> * </ul><a name="line.90"></a> -<span class="sourceLineNo">091</span> */<a name="line.91"></a> -<span class="sourceLineNo">092</span> @Override<a name="line.92"></a> -<span class="sourceLineNo">093</span> protected void parseOptimizationData(OptimizationData... optData) {<a name="line.93"></a> -<span class="sourceLineNo">094</span> // Allow base class to register its own data.<a name="line.94"></a> -<span class="sourceLineNo">095</span> super.parseOptimizationData(optData);<a name="line.95"></a> -<span class="sourceLineNo">096</span><a name="line.96"></a> -<span class="sourceLineNo">097</span> // The existing values (as set by the previous call) are reused if<a name="line.97"></a> -<span class="sourceLineNo">098</span> // not provided in the argument list.<a name="line.98"></a> -<span class="sourceLineNo">099</span> for (OptimizationData data : optData) {<a name="line.99"></a> -<span class="sourceLineNo">100</span> if (data instanceof SearchInterval) {<a name="line.100"></a> -<span class="sourceLineNo">101</span> final SearchInterval interval = (SearchInterval) data;<a name="line.101"></a> -<span class="sourceLineNo">102</span> min = interval.getMin();<a name="line.102"></a> -<span class="sourceLineNo">103</span> max = interval.getMax();<a name="line.103"></a> -<span class="sourceLineNo">104</span> start = interval.getStartValue();<a name="line.104"></a> -<span class="sourceLineNo">105</span> continue;<a name="line.105"></a> -<span class="sourceLineNo">106</span> }<a name="line.106"></a> -<span class="sourceLineNo">107</span> if (data instanceof UnivariateObjectiveFunction) {<a name="line.107"></a> -<span class="sourceLineNo">108</span> function = ((UnivariateObjectiveFunction) data).getObjectiveFunction();<a name="line.108"></a> -<span class="sourceLineNo">109</span> continue;<a name="line.109"></a> -<span class="sourceLineNo">110</span> }<a name="line.110"></a> -<span class="sourceLineNo">111</span> if (data instanceof GoalType) {<a name="line.111"></a> -<span class="sourceLineNo">112</span> goal = (GoalType) data;<a name="line.112"></a> -<span class="sourceLineNo">113</span> continue;<a name="line.113"></a> -<span class="sourceLineNo">114</span> }<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> /**<a name="line.118"></a> -<span class="sourceLineNo">119</span> * @return the initial guess.<a name="line.119"></a> -<span class="sourceLineNo">120</span> */<a name="line.120"></a> -<span class="sourceLineNo">121</span> public double getStartValue() {<a name="line.121"></a> -<span class="sourceLineNo">122</span> return start;<a name="line.122"></a> -<span class="sourceLineNo">123</span> }<a name="line.123"></a> -<span class="sourceLineNo">124</span> /**<a name="line.124"></a> -<span class="sourceLineNo">125</span> * @return the lower bounds.<a name="line.125"></a> -<span class="sourceLineNo">126</span> */<a name="line.126"></a> -<span class="sourceLineNo">127</span> public double getMin() {<a name="line.127"></a> -<span class="sourceLineNo">128</span> return min;<a name="line.128"></a> -<span class="sourceLineNo">129</span> }<a name="line.129"></a> -<span class="sourceLineNo">130</span> /**<a name="line.130"></a> -<span class="sourceLineNo">131</span> * @return the upper bounds.<a name="line.131"></a> -<span class="sourceLineNo">132</span> */<a name="line.132"></a> -<span class="sourceLineNo">133</span> public double getMax() {<a name="line.133"></a> -<span class="sourceLineNo">134</span> return max;<a name="line.134"></a> -<span class="sourceLineNo">135</span> }<a name="line.135"></a> -<span class="sourceLineNo">136</span><a name="line.136"></a> -<span class="sourceLineNo">137</span> /**<a name="line.137"></a> -<span class="sourceLineNo">138</span> * Computes the objective function value.<a name="line.138"></a> -<span class="sourceLineNo">139</span> * This method <em>must</em> be called by subclasses to enforce the<a name="line.139"></a> -<span class="sourceLineNo">140</span> * evaluation counter limit.<a name="line.140"></a> -<span class="sourceLineNo">141</span> *<a name="line.141"></a> -<span class="sourceLineNo">142</span> * @param x Point at which the objective function must be evaluated.<a name="line.142"></a> -<span class="sourceLineNo">143</span> * @return the objective function value at the specified point.<a name="line.143"></a> -<span class="sourceLineNo">144</span> * @throws TooManyEvaluationsException if the maximal number of<a name="line.144"></a> -<span class="sourceLineNo">145</span> * evaluations is exceeded.<a name="line.145"></a> -<span class="sourceLineNo">146</span> */<a name="line.146"></a> -<span class="sourceLineNo">147</span> protected double computeObjectiveValue(double x) {<a name="line.147"></a> -<span class="sourceLineNo">148</span> super.incrementEvaluationCount();<a name="line.148"></a> -<span class="sourceLineNo">149</span> return function.value(x);<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> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</pre> -</div> -</body> -</html>
