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| author | dwinter |
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| date | Tue, 04 Jan 2011 10:02:07 +0100 |
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<HTML> <BODY BGCOLOR="white"> <PRE> <FONT color="green">001</FONT> /*<a name="line.1"></a> <FONT color="green">002</FONT> * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a> <FONT color="green">003</FONT> * contributor license agreements. See the NOTICE file distributed with<a name="line.3"></a> <FONT color="green">004</FONT> * this work for additional information regarding copyright ownership.<a name="line.4"></a> <FONT color="green">005</FONT> * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a> <FONT color="green">006</FONT> * (the "License"); you may not use this file except in compliance with<a name="line.6"></a> <FONT color="green">007</FONT> * the License. You may obtain a copy of the License at<a name="line.7"></a> <FONT color="green">008</FONT> *<a name="line.8"></a> <FONT color="green">009</FONT> * http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a> <FONT color="green">010</FONT> *<a name="line.10"></a> <FONT color="green">011</FONT> * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a> <FONT color="green">012</FONT> * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a> <FONT color="green">013</FONT> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a> <FONT color="green">014</FONT> * See the License for the specific language governing permissions and<a name="line.14"></a> <FONT color="green">015</FONT> * limitations under the License.<a name="line.15"></a> <FONT color="green">016</FONT> */<a name="line.16"></a> <FONT color="green">017</FONT> <a name="line.17"></a> <FONT color="green">018</FONT> package org.apache.commons.math.ode.sampling;<a name="line.18"></a> <FONT color="green">019</FONT> <a name="line.19"></a> <FONT color="green">020</FONT> import java.io.IOException;<a name="line.20"></a> <FONT color="green">021</FONT> import java.io.ObjectInput;<a name="line.21"></a> <FONT color="green">022</FONT> import java.io.ObjectOutput;<a name="line.22"></a> <FONT color="green">023</FONT> import java.util.Arrays;<a name="line.23"></a> <FONT color="green">024</FONT> <a name="line.24"></a> <FONT color="green">025</FONT> import org.apache.commons.math.linear.Array2DRowRealMatrix;<a name="line.25"></a> <FONT color="green">026</FONT> import org.apache.commons.math.ode.DerivativeException;<a name="line.26"></a> <FONT color="green">027</FONT> <a name="line.27"></a> <FONT color="green">028</FONT> /**<a name="line.28"></a> <FONT color="green">029</FONT> * This class implements an interpolator for integrators using Nordsieck representation.<a name="line.29"></a> <FONT color="green">030</FONT> *<a name="line.30"></a> <FONT color="green">031</FONT> * <p>This interpolator computes dense output around the current point.<a name="line.31"></a> <FONT color="green">032</FONT> * The interpolation equation is based on Taylor series formulas.<a name="line.32"></a> <FONT color="green">033</FONT> *<a name="line.33"></a> <FONT color="green">034</FONT> * @see org.apache.commons.math.ode.nonstiff.AdamsBashforthIntegrator<a name="line.34"></a> <FONT color="green">035</FONT> * @see org.apache.commons.math.ode.nonstiff.AdamsMoultonIntegrator<a name="line.35"></a> <FONT color="green">036</FONT> * @version $Revision: 811827 $ $Date: 2009-09-06 11:32:50 -0400 (Sun, 06 Sep 2009) $<a name="line.36"></a> <FONT color="green">037</FONT> * @since 2.0<a name="line.37"></a> <FONT color="green">038</FONT> */<a name="line.38"></a> <FONT color="green">039</FONT> <a name="line.39"></a> <FONT color="green">040</FONT> public class NordsieckStepInterpolator extends AbstractStepInterpolator {<a name="line.40"></a> <FONT color="green">041</FONT> <a name="line.41"></a> <FONT color="green">042</FONT> /** Serializable version identifier */<a name="line.42"></a> <FONT color="green">043</FONT> private static final long serialVersionUID = -7179861704951334960L;<a name="line.43"></a> <FONT color="green">044</FONT> <a name="line.44"></a> <FONT color="green">045</FONT> /** State variation. */<a name="line.45"></a> <FONT color="green">046</FONT> protected double[] stateVariation;<a name="line.46"></a> <FONT color="green">047</FONT> <a name="line.47"></a> <FONT color="green">048</FONT> /** Step size used in the first scaled derivative and Nordsieck vector. */<a name="line.48"></a> <FONT color="green">049</FONT> private double scalingH;<a name="line.49"></a> <FONT color="green">050</FONT> <a name="line.50"></a> <FONT color="green">051</FONT> /** Reference time for all arrays.<a name="line.51"></a> <FONT color="green">052</FONT> * <p>Sometimes, the reference time is the same as previousTime,<a name="line.52"></a> <FONT color="green">053</FONT> * sometimes it is the same as currentTime, so we use a separate<a name="line.53"></a> <FONT color="green">054</FONT> * field to avoid any confusion.<a name="line.54"></a> <FONT color="green">055</FONT> * </p><a name="line.55"></a> <FONT color="green">056</FONT> */<a name="line.56"></a> <FONT color="green">057</FONT> private double referenceTime;<a name="line.57"></a> <FONT color="green">058</FONT> <a name="line.58"></a> <FONT color="green">059</FONT> /** First scaled derivative. */<a name="line.59"></a> <FONT color="green">060</FONT> private double[] scaled;<a name="line.60"></a> <FONT color="green">061</FONT> <a name="line.61"></a> <FONT color="green">062</FONT> /** Nordsieck vector. */<a name="line.62"></a> <FONT color="green">063</FONT> private Array2DRowRealMatrix nordsieck;<a name="line.63"></a> <FONT color="green">064</FONT> <a name="line.64"></a> <FONT color="green">065</FONT> /** Simple constructor.<a name="line.65"></a> <FONT color="green">066</FONT> * This constructor builds an instance that is not usable yet, the<a name="line.66"></a> <FONT color="green">067</FONT> * {@link AbstractStepInterpolator#reinitialize} method should be called<a name="line.67"></a> <FONT color="green">068</FONT> * before using the instance in order to initialize the internal arrays. This<a name="line.68"></a> <FONT color="green">069</FONT> * constructor is used only in order to delay the initialization in<a name="line.69"></a> <FONT color="green">070</FONT> * some cases.<a name="line.70"></a> <FONT color="green">071</FONT> */<a name="line.71"></a> <FONT color="green">072</FONT> public NordsieckStepInterpolator() {<a name="line.72"></a> <FONT color="green">073</FONT> }<a name="line.73"></a> <FONT color="green">074</FONT> <a name="line.74"></a> <FONT color="green">075</FONT> /** Copy constructor.<a name="line.75"></a> <FONT color="green">076</FONT> * @param interpolator interpolator to copy from. The copy is a deep<a name="line.76"></a> <FONT color="green">077</FONT> * copy: its arrays are separated from the original arrays of the<a name="line.77"></a> <FONT color="green">078</FONT> * instance<a name="line.78"></a> <FONT color="green">079</FONT> */<a name="line.79"></a> <FONT color="green">080</FONT> public NordsieckStepInterpolator(final NordsieckStepInterpolator interpolator) {<a name="line.80"></a> <FONT color="green">081</FONT> super(interpolator);<a name="line.81"></a> <FONT color="green">082</FONT> scalingH = interpolator.scalingH;<a name="line.82"></a> <FONT color="green">083</FONT> referenceTime = interpolator.referenceTime;<a name="line.83"></a> <FONT color="green">084</FONT> if (interpolator.scaled != null) {<a name="line.84"></a> <FONT color="green">085</FONT> scaled = interpolator.scaled.clone();<a name="line.85"></a> <FONT color="green">086</FONT> }<a name="line.86"></a> <FONT color="green">087</FONT> if (interpolator.nordsieck != null) {<a name="line.87"></a> <FONT color="green">088</FONT> nordsieck = new Array2DRowRealMatrix(interpolator.nordsieck.getDataRef(), true);<a name="line.88"></a> <FONT color="green">089</FONT> }<a name="line.89"></a> <FONT color="green">090</FONT> if (interpolator.stateVariation != null) {<a name="line.90"></a> <FONT color="green">091</FONT> stateVariation = interpolator.stateVariation.clone();<a name="line.91"></a> <FONT color="green">092</FONT> }<a name="line.92"></a> <FONT color="green">093</FONT> }<a name="line.93"></a> <FONT color="green">094</FONT> <a name="line.94"></a> <FONT color="green">095</FONT> /** {@inheritDoc} */<a name="line.95"></a> <FONT color="green">096</FONT> @Override<a name="line.96"></a> <FONT color="green">097</FONT> protected StepInterpolator doCopy() {<a name="line.97"></a> <FONT color="green">098</FONT> return new NordsieckStepInterpolator(this);<a name="line.98"></a> <FONT color="green">099</FONT> }<a name="line.99"></a> <FONT color="green">100</FONT> <a name="line.100"></a> <FONT color="green">101</FONT> /** Reinitialize the instance.<a name="line.101"></a> <FONT color="green">102</FONT> * <p>Beware that all arrays <em>must</em> be references to integrator<a name="line.102"></a> <FONT color="green">103</FONT> * arrays, in order to ensure proper update without copy.</p><a name="line.103"></a> <FONT color="green">104</FONT> * @param y reference to the integrator array holding the state at<a name="line.104"></a> <FONT color="green">105</FONT> * the end of the step<a name="line.105"></a> <FONT color="green">106</FONT> * @param forward integration direction indicator<a name="line.106"></a> <FONT color="green">107</FONT> */<a name="line.107"></a> <FONT color="green">108</FONT> @Override<a name="line.108"></a> <FONT color="green">109</FONT> public void reinitialize(final double[] y, final boolean forward) {<a name="line.109"></a> <FONT color="green">110</FONT> super.reinitialize(y, forward);<a name="line.110"></a> <FONT color="green">111</FONT> stateVariation = new double[y.length];<a name="line.111"></a> <FONT color="green">112</FONT> }<a name="line.112"></a> <FONT color="green">113</FONT> <a name="line.113"></a> <FONT color="green">114</FONT> /** Reinitialize the instance.<a name="line.114"></a> <FONT color="green">115</FONT> * <p>Beware that all arrays <em>must</em> be references to integrator<a name="line.115"></a> <FONT color="green">116</FONT> * arrays, in order to ensure proper update without copy.</p><a name="line.116"></a> <FONT color="green">117</FONT> * @param time time at which all arrays are defined<a name="line.117"></a> <FONT color="green">118</FONT> * @param stepSize step size used in the scaled and nordsieck arrays<a name="line.118"></a> <FONT color="green">119</FONT> * @param scaledDerivative reference to the integrator array holding the first<a name="line.119"></a> <FONT color="green">120</FONT> * scaled derivative<a name="line.120"></a> <FONT color="green">121</FONT> * @param nordsieckVector reference to the integrator matrix holding the<a name="line.121"></a> <FONT color="green">122</FONT> * nordsieck vector<a name="line.122"></a> <FONT color="green">123</FONT> */<a name="line.123"></a> <FONT color="green">124</FONT> public void reinitialize(final double time, final double stepSize,<a name="line.124"></a> <FONT color="green">125</FONT> final double[] scaledDerivative,<a name="line.125"></a> <FONT color="green">126</FONT> final Array2DRowRealMatrix nordsieckVector) {<a name="line.126"></a> <FONT color="green">127</FONT> this.referenceTime = time;<a name="line.127"></a> <FONT color="green">128</FONT> this.scalingH = stepSize;<a name="line.128"></a> <FONT color="green">129</FONT> this.scaled = scaledDerivative;<a name="line.129"></a> <FONT color="green">130</FONT> this.nordsieck = nordsieckVector;<a name="line.130"></a> <FONT color="green">131</FONT> <a name="line.131"></a> <FONT color="green">132</FONT> // make sure the state and derivatives will depend on the new arrays<a name="line.132"></a> <FONT color="green">133</FONT> setInterpolatedTime(getInterpolatedTime());<a name="line.133"></a> <FONT color="green">134</FONT> <a name="line.134"></a> <FONT color="green">135</FONT> }<a name="line.135"></a> <FONT color="green">136</FONT> <a name="line.136"></a> <FONT color="green">137</FONT> /** Rescale the instance.<a name="line.137"></a> <FONT color="green">138</FONT> * <p>Since the scaled and Nordiseck arrays are shared with the caller,<a name="line.138"></a> <FONT color="green">139</FONT> * this method has the side effect of rescaling this arrays in the caller too.</p><a name="line.139"></a> <FONT color="green">140</FONT> * @param stepSize new step size to use in the scaled and nordsieck arrays<a name="line.140"></a> <FONT color="green">141</FONT> */<a name="line.141"></a> <FONT color="green">142</FONT> public void rescale(final double stepSize) {<a name="line.142"></a> <FONT color="green">143</FONT> <a name="line.143"></a> <FONT color="green">144</FONT> final double ratio = stepSize / scalingH;<a name="line.144"></a> <FONT color="green">145</FONT> for (int i = 0; i < scaled.length; ++i) {<a name="line.145"></a> <FONT color="green">146</FONT> scaled[i] *= ratio;<a name="line.146"></a> <FONT color="green">147</FONT> }<a name="line.147"></a> <FONT color="green">148</FONT> <a name="line.148"></a> <FONT color="green">149</FONT> final double[][] nData = nordsieck.getDataRef();<a name="line.149"></a> <FONT color="green">150</FONT> double power = ratio;<a name="line.150"></a> <FONT color="green">151</FONT> for (int i = 0; i < nData.length; ++i) {<a name="line.151"></a> <FONT color="green">152</FONT> power *= ratio;<a name="line.152"></a> <FONT color="green">153</FONT> final double[] nDataI = nData[i];<a name="line.153"></a> <FONT color="green">154</FONT> for (int j = 0; j < nDataI.length; ++j) {<a name="line.154"></a> <FONT color="green">155</FONT> nDataI[j] *= power;<a name="line.155"></a> <FONT color="green">156</FONT> }<a name="line.156"></a> <FONT color="green">157</FONT> }<a name="line.157"></a> <FONT color="green">158</FONT> <a name="line.158"></a> <FONT color="green">159</FONT> scalingH = stepSize;<a name="line.159"></a> <FONT color="green">160</FONT> <a name="line.160"></a> <FONT color="green">161</FONT> }<a name="line.161"></a> <FONT color="green">162</FONT> <a name="line.162"></a> <FONT color="green">163</FONT> /**<a name="line.163"></a> <FONT color="green">164</FONT> * Get the state vector variation from current to interpolated state.<a name="line.164"></a> <FONT color="green">165</FONT> * <p>This method is aimed at computing y(t<sub>interpolation</sub>)<a name="line.165"></a> <FONT color="green">166</FONT> * -y(t<sub>current</sub>) accurately by avoiding the cancellation errors<a name="line.166"></a> <FONT color="green">167</FONT> * that would occur if the subtraction were performed explicitly.</p><a name="line.167"></a> <FONT color="green">168</FONT> * <p>The returned vector is a reference to a reused array, so<a name="line.168"></a> <FONT color="green">169</FONT> * it should not be modified and it should be copied if it needs<a name="line.169"></a> <FONT color="green">170</FONT> * to be preserved across several calls.</p><a name="line.170"></a> <FONT color="green">171</FONT> * @return state vector at time {@link #getInterpolatedTime}<a name="line.171"></a> <FONT color="green">172</FONT> * @see #getInterpolatedDerivatives()<a name="line.172"></a> <FONT color="green">173</FONT> * @throws DerivativeException if this call induces an automatic<a name="line.173"></a> <FONT color="green">174</FONT> * step finalization that throws one<a name="line.174"></a> <FONT color="green">175</FONT> */<a name="line.175"></a> <FONT color="green">176</FONT> public double[] getInterpolatedStateVariation()<a name="line.176"></a> <FONT color="green">177</FONT> throws DerivativeException {<a name="line.177"></a> <FONT color="green">178</FONT> // compute and ignore interpolated state<a name="line.178"></a> <FONT color="green">179</FONT> // to make sure state variation is computed as a side effect<a name="line.179"></a> <FONT color="green">180</FONT> getInterpolatedState();<a name="line.180"></a> <FONT color="green">181</FONT> return stateVariation;<a name="line.181"></a> <FONT color="green">182</FONT> }<a name="line.182"></a> <FONT color="green">183</FONT> <a name="line.183"></a> <FONT color="green">184</FONT> /** {@inheritDoc} */<a name="line.184"></a> <FONT color="green">185</FONT> @Override<a name="line.185"></a> <FONT color="green">186</FONT> protected void computeInterpolatedStateAndDerivatives(final double theta, final double oneMinusThetaH) {<a name="line.186"></a> <FONT color="green">187</FONT> <a name="line.187"></a> <FONT color="green">188</FONT> final double x = interpolatedTime - referenceTime;<a name="line.188"></a> <FONT color="green">189</FONT> final double normalizedAbscissa = x / scalingH;<a name="line.189"></a> <FONT color="green">190</FONT> <a name="line.190"></a> <FONT color="green">191</FONT> Arrays.fill(stateVariation, 0.0);<a name="line.191"></a> <FONT color="green">192</FONT> Arrays.fill(interpolatedDerivatives, 0.0);<a name="line.192"></a> <FONT color="green">193</FONT> <a name="line.193"></a> <FONT color="green">194</FONT> // apply Taylor formula from high order to low order,<a name="line.194"></a> <FONT color="green">195</FONT> // for the sake of numerical accuracy<a name="line.195"></a> <FONT color="green">196</FONT> final double[][] nData = nordsieck.getDataRef();<a name="line.196"></a> <FONT color="green">197</FONT> for (int i = nData.length - 1; i >= 0; --i) {<a name="line.197"></a> <FONT color="green">198</FONT> final int order = i + 2;<a name="line.198"></a> <FONT color="green">199</FONT> final double[] nDataI = nData[i];<a name="line.199"></a> <FONT color="green">200</FONT> final double power = Math.pow(normalizedAbscissa, order);<a name="line.200"></a> <FONT color="green">201</FONT> for (int j = 0; j < nDataI.length; ++j) {<a name="line.201"></a> <FONT color="green">202</FONT> final double d = nDataI[j] * power;<a name="line.202"></a> <FONT color="green">203</FONT> stateVariation[j] += d;<a name="line.203"></a> <FONT color="green">204</FONT> interpolatedDerivatives[j] += order * d;<a name="line.204"></a> <FONT color="green">205</FONT> }<a name="line.205"></a> <FONT color="green">206</FONT> }<a name="line.206"></a> <FONT color="green">207</FONT> <a name="line.207"></a> <FONT color="green">208</FONT> for (int j = 0; j < currentState.length; ++j) {<a name="line.208"></a> <FONT color="green">209</FONT> stateVariation[j] += scaled[j] * normalizedAbscissa;<a name="line.209"></a> <FONT color="green">210</FONT> interpolatedState[j] = currentState[j] + stateVariation[j];<a name="line.210"></a> <FONT color="green">211</FONT> interpolatedDerivatives[j] =<a name="line.211"></a> <FONT color="green">212</FONT> (interpolatedDerivatives[j] + scaled[j] * normalizedAbscissa) / x;<a name="line.212"></a> <FONT color="green">213</FONT> }<a name="line.213"></a> <FONT color="green">214</FONT> <a name="line.214"></a> <FONT color="green">215</FONT> }<a name="line.215"></a> <FONT color="green">216</FONT> <a name="line.216"></a> <FONT color="green">217</FONT> /** {@inheritDoc} */<a name="line.217"></a> <FONT color="green">218</FONT> @Override<a name="line.218"></a> <FONT color="green">219</FONT> public void writeExternal(final ObjectOutput out)<a name="line.219"></a> <FONT color="green">220</FONT> throws IOException {<a name="line.220"></a> <FONT color="green">221</FONT> <a name="line.221"></a> <FONT color="green">222</FONT> // save the state of the base class<a name="line.222"></a> <FONT color="green">223</FONT> writeBaseExternal(out);<a name="line.223"></a> <FONT color="green">224</FONT> <a name="line.224"></a> <FONT color="green">225</FONT> // save the local attributes<a name="line.225"></a> <FONT color="green">226</FONT> out.writeDouble(scalingH);<a name="line.226"></a> <FONT color="green">227</FONT> out.writeDouble(referenceTime);<a name="line.227"></a> <FONT color="green">228</FONT> <a name="line.228"></a> <FONT color="green">229</FONT> final int n = (currentState == null) ? -1 : currentState.length;<a name="line.229"></a> <FONT color="green">230</FONT> if (scaled == null) {<a name="line.230"></a> <FONT color="green">231</FONT> out.writeBoolean(false);<a name="line.231"></a> <FONT color="green">232</FONT> } else {<a name="line.232"></a> <FONT color="green">233</FONT> out.writeBoolean(true);<a name="line.233"></a> <FONT color="green">234</FONT> for (int j = 0; j < n; ++j) {<a name="line.234"></a> <FONT color="green">235</FONT> out.writeDouble(scaled[j]);<a name="line.235"></a> <FONT color="green">236</FONT> }<a name="line.236"></a> <FONT color="green">237</FONT> }<a name="line.237"></a> <FONT color="green">238</FONT> <a name="line.238"></a> <FONT color="green">239</FONT> if (nordsieck == null) {<a name="line.239"></a> <FONT color="green">240</FONT> out.writeBoolean(false);<a name="line.240"></a> <FONT color="green">241</FONT> } else {<a name="line.241"></a> <FONT color="green">242</FONT> out.writeBoolean(true);<a name="line.242"></a> <FONT color="green">243</FONT> out.writeObject(nordsieck);<a name="line.243"></a> <FONT color="green">244</FONT> }<a name="line.244"></a> <FONT color="green">245</FONT> <a name="line.245"></a> <FONT color="green">246</FONT> // we don't save state variation, it will be recomputed<a name="line.246"></a> <FONT color="green">247</FONT> <a name="line.247"></a> <FONT color="green">248</FONT> }<a name="line.248"></a> <FONT color="green">249</FONT> <a name="line.249"></a> <FONT color="green">250</FONT> /** {@inheritDoc} */<a name="line.250"></a> <FONT color="green">251</FONT> @Override<a name="line.251"></a> <FONT color="green">252</FONT> public void readExternal(final ObjectInput in)<a name="line.252"></a> <FONT color="green">253</FONT> throws IOException, ClassNotFoundException {<a name="line.253"></a> <FONT color="green">254</FONT> <a name="line.254"></a> <FONT color="green">255</FONT> // read the base class<a name="line.255"></a> <FONT color="green">256</FONT> final double t = readBaseExternal(in);<a name="line.256"></a> <FONT color="green">257</FONT> <a name="line.257"></a> <FONT color="green">258</FONT> // read the local attributes<a name="line.258"></a> <FONT color="green">259</FONT> scalingH = in.readDouble();<a name="line.259"></a> <FONT color="green">260</FONT> referenceTime = in.readDouble();<a name="line.260"></a> <FONT color="green">261</FONT> <a name="line.261"></a> <FONT color="green">262</FONT> final int n = (currentState == null) ? -1 : currentState.length;<a name="line.262"></a> <FONT color="green">263</FONT> final boolean hasScaled = in.readBoolean();<a name="line.263"></a> <FONT color="green">264</FONT> if (hasScaled) {<a name="line.264"></a> <FONT color="green">265</FONT> scaled = new double[n];<a name="line.265"></a> <FONT color="green">266</FONT> for (int j = 0; j < n; ++j) {<a name="line.266"></a> <FONT color="green">267</FONT> scaled[j] = in.readDouble();<a name="line.267"></a> <FONT color="green">268</FONT> }<a name="line.268"></a> <FONT color="green">269</FONT> } else {<a name="line.269"></a> <FONT color="green">270</FONT> scaled = null;<a name="line.270"></a> <FONT color="green">271</FONT> }<a name="line.271"></a> <FONT color="green">272</FONT> <a name="line.272"></a> <FONT color="green">273</FONT> final boolean hasNordsieck = in.readBoolean();<a name="line.273"></a> <FONT color="green">274</FONT> if (hasNordsieck) {<a name="line.274"></a> <FONT color="green">275</FONT> nordsieck = (Array2DRowRealMatrix) in.readObject();<a name="line.275"></a> <FONT color="green">276</FONT> } else {<a name="line.276"></a> <FONT color="green">277</FONT> nordsieck = null;<a name="line.277"></a> <FONT color="green">278</FONT> }<a name="line.278"></a> <FONT color="green">279</FONT> <a name="line.279"></a> <FONT color="green">280</FONT> if (hasScaled && hasNordsieck) {<a name="line.280"></a> <FONT color="green">281</FONT> // we can now set the interpolated time and state<a name="line.281"></a> <FONT color="green">282</FONT> stateVariation = new double[n];<a name="line.282"></a> <FONT color="green">283</FONT> setInterpolatedTime(t);<a name="line.283"></a> <FONT color="green">284</FONT> } else {<a name="line.284"></a> <FONT color="green">285</FONT> stateVariation = null;<a name="line.285"></a> <FONT color="green">286</FONT> }<a name="line.286"></a> <FONT color="green">287</FONT> <a name="line.287"></a> <FONT color="green">288</FONT> }<a name="line.288"></a> <FONT color="green">289</FONT> <a name="line.289"></a> <FONT color="green">290</FONT> }<a name="line.290"></a> </PRE> </BODY> </HTML>