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1 <HTML>
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2 <BODY BGCOLOR="white">
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3 <PRE>
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4 <FONT color="green">001</FONT> /*<a name="line.1"></a>
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5 <FONT color="green">002</FONT> * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
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6 <FONT color="green">003</FONT> * contributor license agreements. See the NOTICE file distributed with<a name="line.3"></a>
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7 <FONT color="green">004</FONT> * this work for additional information regarding copyright ownership.<a name="line.4"></a>
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8 <FONT color="green">005</FONT> * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
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9 <FONT color="green">006</FONT> * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
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10 <FONT color="green">007</FONT> * the License. You may obtain a copy of the License at<a name="line.7"></a>
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11 <FONT color="green">008</FONT> *<a name="line.8"></a>
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12 <FONT color="green">009</FONT> * http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
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13 <FONT color="green">010</FONT> *<a name="line.10"></a>
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14 <FONT color="green">011</FONT> * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
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15 <FONT color="green">012</FONT> * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
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16 <FONT color="green">013</FONT> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
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17 <FONT color="green">014</FONT> * See the License for the specific language governing permissions and<a name="line.14"></a>
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18 <FONT color="green">015</FONT> * limitations under the License.<a name="line.15"></a>
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19 <FONT color="green">016</FONT> */<a name="line.16"></a>
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20 <FONT color="green">017</FONT> <a name="line.17"></a>
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21 <FONT color="green">018</FONT> package org.apache.commons.math.ode;<a name="line.18"></a>
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22 <FONT color="green">019</FONT> <a name="line.19"></a>
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23 <FONT color="green">020</FONT> import java.util.ArrayList;<a name="line.20"></a>
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24 <FONT color="green">021</FONT> import java.util.List;<a name="line.21"></a>
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25 <FONT color="green">022</FONT> import java.io.Serializable;<a name="line.22"></a>
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26 <FONT color="green">023</FONT> <a name="line.23"></a>
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27 <FONT color="green">024</FONT> import org.apache.commons.math.MathRuntimeException;<a name="line.24"></a>
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28 <FONT color="green">025</FONT> import org.apache.commons.math.ode.sampling.StepHandler;<a name="line.25"></a>
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29 <FONT color="green">026</FONT> import org.apache.commons.math.ode.sampling.StepInterpolator;<a name="line.26"></a>
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30 <FONT color="green">027</FONT> <a name="line.27"></a>
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31 <FONT color="green">028</FONT> /**<a name="line.28"></a>
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32 <FONT color="green">029</FONT> * This class stores all information provided by an ODE integrator<a name="line.29"></a>
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33 <FONT color="green">030</FONT> * during the integration process and build a continuous model of the<a name="line.30"></a>
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34 <FONT color="green">031</FONT> * solution from this.<a name="line.31"></a>
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35 <FONT color="green">032</FONT> *<a name="line.32"></a>
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36 <FONT color="green">033</FONT> * <p>This class act as a step handler from the integrator point of<a name="line.33"></a>
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37 <FONT color="green">034</FONT> * view. It is called iteratively during the integration process and<a name="line.34"></a>
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38 <FONT color="green">035</FONT> * stores a copy of all steps information in a sorted collection for<a name="line.35"></a>
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39 <FONT color="green">036</FONT> * later use. Once the integration process is over, the user can use<a name="line.36"></a>
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40 <FONT color="green">037</FONT> * the {@link #setInterpolatedTime setInterpolatedTime} and {@link<a name="line.37"></a>
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41 <FONT color="green">038</FONT> * #getInterpolatedState getInterpolatedState} to retrieve this<a name="line.38"></a>
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42 <FONT color="green">039</FONT> * information at any time. It is important to wait for the<a name="line.39"></a>
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43 <FONT color="green">040</FONT> * integration to be over before attempting to call {@link<a name="line.40"></a>
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44 <FONT color="green">041</FONT> * #setInterpolatedTime setInterpolatedTime} because some internal<a name="line.41"></a>
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45 <FONT color="green">042</FONT> * variables are set only once the last step has been handled.</p><a name="line.42"></a>
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46 <FONT color="green">043</FONT> *<a name="line.43"></a>
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47 <FONT color="green">044</FONT> * <p>This is useful for example if the main loop of the user<a name="line.44"></a>
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48 <FONT color="green">045</FONT> * application should remain independent from the integration process<a name="line.45"></a>
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49 <FONT color="green">046</FONT> * or if one needs to mimic the behaviour of an analytical model<a name="line.46"></a>
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50 <FONT color="green">047</FONT> * despite a numerical model is used (i.e. one needs the ability to<a name="line.47"></a>
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51 <FONT color="green">048</FONT> * get the model value at any time or to navigate through the<a name="line.48"></a>
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52 <FONT color="green">049</FONT> * data).</p><a name="line.49"></a>
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53 <FONT color="green">050</FONT> *<a name="line.50"></a>
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54 <FONT color="green">051</FONT> * <p>If problem modeling is done with several separate<a name="line.51"></a>
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55 <FONT color="green">052</FONT> * integration phases for contiguous intervals, the same<a name="line.52"></a>
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56 <FONT color="green">053</FONT> * ContinuousOutputModel can be used as step handler for all<a name="line.53"></a>
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57 <FONT color="green">054</FONT> * integration phases as long as they are performed in order and in<a name="line.54"></a>
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58 <FONT color="green">055</FONT> * the same direction. As an example, one can extrapolate the<a name="line.55"></a>
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59 <FONT color="green">056</FONT> * trajectory of a satellite with one model (i.e. one set of<a name="line.56"></a>
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60 <FONT color="green">057</FONT> * differential equations) up to the beginning of a maneuver, use<a name="line.57"></a>
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61 <FONT color="green">058</FONT> * another more complex model including thrusters modeling and<a name="line.58"></a>
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62 <FONT color="green">059</FONT> * accurate attitude control during the maneuver, and revert to the<a name="line.59"></a>
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63 <FONT color="green">060</FONT> * first model after the end of the maneuver. If the same continuous<a name="line.60"></a>
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64 <FONT color="green">061</FONT> * output model handles the steps of all integration phases, the user<a name="line.61"></a>
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65 <FONT color="green">062</FONT> * do not need to bother when the maneuver begins or ends, he has all<a name="line.62"></a>
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66 <FONT color="green">063</FONT> * the data available in a transparent manner.</p><a name="line.63"></a>
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67 <FONT color="green">064</FONT> *<a name="line.64"></a>
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68 <FONT color="green">065</FONT> * <p>An important feature of this class is that it implements the<a name="line.65"></a>
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69 <FONT color="green">066</FONT> * <code>Serializable</code> interface. This means that the result of<a name="line.66"></a>
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70 <FONT color="green">067</FONT> * an integration can be serialized and reused later (if stored into a<a name="line.67"></a>
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71 <FONT color="green">068</FONT> * persistent medium like a filesystem or a database) or elsewhere (if<a name="line.68"></a>
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72 <FONT color="green">069</FONT> * sent to another application). Only the result of the integration is<a name="line.69"></a>
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73 <FONT color="green">070</FONT> * stored, there is no reference to the integrated problem by<a name="line.70"></a>
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74 <FONT color="green">071</FONT> * itself.</p><a name="line.71"></a>
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75 <FONT color="green">072</FONT> *<a name="line.72"></a>
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76 <FONT color="green">073</FONT> * <p>One should be aware that the amount of data stored in a<a name="line.73"></a>
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77 <FONT color="green">074</FONT> * ContinuousOutputModel instance can be important if the state vector<a name="line.74"></a>
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78 <FONT color="green">075</FONT> * is large, if the integration interval is long or if the steps are<a name="line.75"></a>
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79 <FONT color="green">076</FONT> * small (which can result from small tolerance settings in {@link<a name="line.76"></a>
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80 <FONT color="green">077</FONT> * org.apache.commons.math.ode.nonstiff.AdaptiveStepsizeIntegrator adaptive<a name="line.77"></a>
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81 <FONT color="green">078</FONT> * step size integrators}).</p><a name="line.78"></a>
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82 <FONT color="green">079</FONT> *<a name="line.79"></a>
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83 <FONT color="green">080</FONT> * @see StepHandler<a name="line.80"></a>
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84 <FONT color="green">081</FONT> * @see StepInterpolator<a name="line.81"></a>
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85 <FONT color="green">082</FONT> * @version $Revision: 811827 $ $Date: 2009-09-06 11:32:50 -0400 (Sun, 06 Sep 2009) $<a name="line.82"></a>
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86 <FONT color="green">083</FONT> * @since 1.2<a name="line.83"></a>
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87 <FONT color="green">084</FONT> */<a name="line.84"></a>
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88 <FONT color="green">085</FONT> <a name="line.85"></a>
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89 <FONT color="green">086</FONT> public class ContinuousOutputModel<a name="line.86"></a>
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90 <FONT color="green">087</FONT> implements StepHandler, Serializable {<a name="line.87"></a>
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91 <FONT color="green">088</FONT> <a name="line.88"></a>
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92 <FONT color="green">089</FONT> /** Serializable version identifier */<a name="line.89"></a>
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93 <FONT color="green">090</FONT> private static final long serialVersionUID = -1417964919405031606L;<a name="line.90"></a>
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94 <FONT color="green">091</FONT> <a name="line.91"></a>
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95 <FONT color="green">092</FONT> /** Initial integration time. */<a name="line.92"></a>
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96 <FONT color="green">093</FONT> private double initialTime;<a name="line.93"></a>
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97 <FONT color="green">094</FONT> <a name="line.94"></a>
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98 <FONT color="green">095</FONT> /** Final integration time. */<a name="line.95"></a>
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99 <FONT color="green">096</FONT> private double finalTime;<a name="line.96"></a>
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100 <FONT color="green">097</FONT> <a name="line.97"></a>
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101 <FONT color="green">098</FONT> /** Integration direction indicator. */<a name="line.98"></a>
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102 <FONT color="green">099</FONT> private boolean forward;<a name="line.99"></a>
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103 <FONT color="green">100</FONT> <a name="line.100"></a>
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104 <FONT color="green">101</FONT> /** Current interpolator index. */<a name="line.101"></a>
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105 <FONT color="green">102</FONT> private int index;<a name="line.102"></a>
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106 <FONT color="green">103</FONT> <a name="line.103"></a>
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107 <FONT color="green">104</FONT> /** Steps table. */<a name="line.104"></a>
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108 <FONT color="green">105</FONT> private List<StepInterpolator> steps;<a name="line.105"></a>
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109 <FONT color="green">106</FONT> <a name="line.106"></a>
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110 <FONT color="green">107</FONT> /** Simple constructor.<a name="line.107"></a>
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111 <FONT color="green">108</FONT> * Build an empty continuous output model.<a name="line.108"></a>
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112 <FONT color="green">109</FONT> */<a name="line.109"></a>
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113 <FONT color="green">110</FONT> public ContinuousOutputModel() {<a name="line.110"></a>
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114 <FONT color="green">111</FONT> steps = new ArrayList<StepInterpolator>();<a name="line.111"></a>
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115 <FONT color="green">112</FONT> reset();<a name="line.112"></a>
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116 <FONT color="green">113</FONT> }<a name="line.113"></a>
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117 <FONT color="green">114</FONT> <a name="line.114"></a>
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118 <FONT color="green">115</FONT> /** Append another model at the end of the instance.<a name="line.115"></a>
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119 <FONT color="green">116</FONT> * @param model model to add at the end of the instance<a name="line.116"></a>
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120 <FONT color="green">117</FONT> * @exception DerivativeException if some step interpolators from<a name="line.117"></a>
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121 <FONT color="green">118</FONT> * the appended model cannot be copied<a name="line.118"></a>
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122 <FONT color="green">119</FONT> * @exception IllegalArgumentException if the model to append is not<a name="line.119"></a>
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123 <FONT color="green">120</FONT> * compatible with the instance (dimension of the state vector,<a name="line.120"></a>
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124 <FONT color="green">121</FONT> * propagation direction, hole between the dates)<a name="line.121"></a>
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125 <FONT color="green">122</FONT> */<a name="line.122"></a>
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126 <FONT color="green">123</FONT> public void append(final ContinuousOutputModel model)<a name="line.123"></a>
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127 <FONT color="green">124</FONT> throws DerivativeException {<a name="line.124"></a>
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128 <FONT color="green">125</FONT> <a name="line.125"></a>
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129 <FONT color="green">126</FONT> if (model.steps.size() == 0) {<a name="line.126"></a>
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130 <FONT color="green">127</FONT> return;<a name="line.127"></a>
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131 <FONT color="green">128</FONT> }<a name="line.128"></a>
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132 <FONT color="green">129</FONT> <a name="line.129"></a>
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133 <FONT color="green">130</FONT> if (steps.size() == 0) {<a name="line.130"></a>
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134 <FONT color="green">131</FONT> initialTime = model.initialTime;<a name="line.131"></a>
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135 <FONT color="green">132</FONT> forward = model.forward;<a name="line.132"></a>
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136 <FONT color="green">133</FONT> } else {<a name="line.133"></a>
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137 <FONT color="green">134</FONT> <a name="line.134"></a>
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138 <FONT color="green">135</FONT> if (getInterpolatedState().length != model.getInterpolatedState().length) {<a name="line.135"></a>
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139 <FONT color="green">136</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.136"></a>
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140 <FONT color="green">137</FONT> "dimension mismatch {0} != {1}",<a name="line.137"></a>
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141 <FONT color="green">138</FONT> getInterpolatedState().length, model.getInterpolatedState().length);<a name="line.138"></a>
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142 <FONT color="green">139</FONT> }<a name="line.139"></a>
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143 <FONT color="green">140</FONT> <a name="line.140"></a>
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144 <FONT color="green">141</FONT> if (forward ^ model.forward) {<a name="line.141"></a>
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145 <FONT color="green">142</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.142"></a>
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146 <FONT color="green">143</FONT> "propagation direction mismatch");<a name="line.143"></a>
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147 <FONT color="green">144</FONT> }<a name="line.144"></a>
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148 <FONT color="green">145</FONT> <a name="line.145"></a>
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149 <FONT color="green">146</FONT> final StepInterpolator lastInterpolator = steps.get(index);<a name="line.146"></a>
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150 <FONT color="green">147</FONT> final double current = lastInterpolator.getCurrentTime();<a name="line.147"></a>
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151 <FONT color="green">148</FONT> final double previous = lastInterpolator.getPreviousTime();<a name="line.148"></a>
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152 <FONT color="green">149</FONT> final double step = current - previous;<a name="line.149"></a>
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153 <FONT color="green">150</FONT> final double gap = model.getInitialTime() - current;<a name="line.150"></a>
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154 <FONT color="green">151</FONT> if (Math.abs(gap) > 1.0e-3 * Math.abs(step)) {<a name="line.151"></a>
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155 <FONT color="green">152</FONT> throw MathRuntimeException.createIllegalArgumentException(<a name="line.152"></a>
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156 <FONT color="green">153</FONT> "{0} wide hole between models time ranges", Math.abs(gap));<a name="line.153"></a>
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157 <FONT color="green">154</FONT> }<a name="line.154"></a>
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158 <FONT color="green">155</FONT> <a name="line.155"></a>
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159 <FONT color="green">156</FONT> }<a name="line.156"></a>
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160 <FONT color="green">157</FONT> <a name="line.157"></a>
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161 <FONT color="green">158</FONT> for (StepInterpolator interpolator : model.steps) {<a name="line.158"></a>
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162 <FONT color="green">159</FONT> steps.add(interpolator.copy());<a name="line.159"></a>
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163 <FONT color="green">160</FONT> }<a name="line.160"></a>
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164 <FONT color="green">161</FONT> <a name="line.161"></a>
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165 <FONT color="green">162</FONT> index = steps.size() - 1;<a name="line.162"></a>
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166 <FONT color="green">163</FONT> finalTime = (steps.get(index)).getCurrentTime();<a name="line.163"></a>
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167 <FONT color="green">164</FONT> <a name="line.164"></a>
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168 <FONT color="green">165</FONT> }<a name="line.165"></a>
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169 <FONT color="green">166</FONT> <a name="line.166"></a>
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170 <FONT color="green">167</FONT> /** Determines whether this handler needs dense output.<a name="line.167"></a>
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171 <FONT color="green">168</FONT> * <p>The essence of this class is to provide dense output over all<a name="line.168"></a>
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172 <FONT color="green">169</FONT> * steps, hence it requires the internal steps to provide themselves<a name="line.169"></a>
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173 <FONT color="green">170</FONT> * dense output. The method therefore returns always true.</p><a name="line.170"></a>
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174 <FONT color="green">171</FONT> * @return always true<a name="line.171"></a>
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175 <FONT color="green">172</FONT> */<a name="line.172"></a>
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176 <FONT color="green">173</FONT> public boolean requiresDenseOutput() {<a name="line.173"></a>
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177 <FONT color="green">174</FONT> return true;<a name="line.174"></a>
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178 <FONT color="green">175</FONT> }<a name="line.175"></a>
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179 <FONT color="green">176</FONT> <a name="line.176"></a>
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180 <FONT color="green">177</FONT> /** Reset the step handler.<a name="line.177"></a>
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181 <FONT color="green">178</FONT> * Initialize the internal data as required before the first step is<a name="line.178"></a>
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182 <FONT color="green">179</FONT> * handled.<a name="line.179"></a>
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183 <FONT color="green">180</FONT> */<a name="line.180"></a>
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184 <FONT color="green">181</FONT> public void reset() {<a name="line.181"></a>
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185 <FONT color="green">182</FONT> initialTime = Double.NaN;<a name="line.182"></a>
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186 <FONT color="green">183</FONT> finalTime = Double.NaN;<a name="line.183"></a>
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187 <FONT color="green">184</FONT> forward = true;<a name="line.184"></a>
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188 <FONT color="green">185</FONT> index = 0;<a name="line.185"></a>
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189 <FONT color="green">186</FONT> steps.clear();<a name="line.186"></a>
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190 <FONT color="green">187</FONT> }<a name="line.187"></a>
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191 <FONT color="green">188</FONT> <a name="line.188"></a>
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192 <FONT color="green">189</FONT> /** Handle the last accepted step.<a name="line.189"></a>
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193 <FONT color="green">190</FONT> * A copy of the information provided by the last step is stored in<a name="line.190"></a>
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194 <FONT color="green">191</FONT> * the instance for later use.<a name="line.191"></a>
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195 <FONT color="green">192</FONT> * @param interpolator interpolator for the last accepted step.<a name="line.192"></a>
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196 <FONT color="green">193</FONT> * @param isLast true if the step is the last one<a name="line.193"></a>
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197 <FONT color="green">194</FONT> * @throws DerivativeException this exception is propagated to the<a name="line.194"></a>
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198 <FONT color="green">195</FONT> * caller if the underlying user function triggers one<a name="line.195"></a>
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199 <FONT color="green">196</FONT> */<a name="line.196"></a>
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200 <FONT color="green">197</FONT> public void handleStep(final StepInterpolator interpolator, final boolean isLast)<a name="line.197"></a>
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201 <FONT color="green">198</FONT> throws DerivativeException {<a name="line.198"></a>
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202 <FONT color="green">199</FONT> <a name="line.199"></a>
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203 <FONT color="green">200</FONT> if (steps.size() == 0) {<a name="line.200"></a>
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204 <FONT color="green">201</FONT> initialTime = interpolator.getPreviousTime();<a name="line.201"></a>
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205 <FONT color="green">202</FONT> forward = interpolator.isForward();<a name="line.202"></a>
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206 <FONT color="green">203</FONT> }<a name="line.203"></a>
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207 <FONT color="green">204</FONT> <a name="line.204"></a>
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208 <FONT color="green">205</FONT> steps.add(interpolator.copy());<a name="line.205"></a>
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209 <FONT color="green">206</FONT> <a name="line.206"></a>
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210 <FONT color="green">207</FONT> if (isLast) {<a name="line.207"></a>
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211 <FONT color="green">208</FONT> finalTime = interpolator.getCurrentTime();<a name="line.208"></a>
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212 <FONT color="green">209</FONT> index = steps.size() - 1;<a name="line.209"></a>
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213 <FONT color="green">210</FONT> }<a name="line.210"></a>
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214 <FONT color="green">211</FONT> <a name="line.211"></a>
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215 <FONT color="green">212</FONT> }<a name="line.212"></a>
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216 <FONT color="green">213</FONT> <a name="line.213"></a>
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217 <FONT color="green">214</FONT> /**<a name="line.214"></a>
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218 <FONT color="green">215</FONT> * Get the initial integration time.<a name="line.215"></a>
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219 <FONT color="green">216</FONT> * @return initial integration time<a name="line.216"></a>
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220 <FONT color="green">217</FONT> */<a name="line.217"></a>
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221 <FONT color="green">218</FONT> public double getInitialTime() {<a name="line.218"></a>
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222 <FONT color="green">219</FONT> return initialTime;<a name="line.219"></a>
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223 <FONT color="green">220</FONT> }<a name="line.220"></a>
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224 <FONT color="green">221</FONT> <a name="line.221"></a>
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225 <FONT color="green">222</FONT> /**<a name="line.222"></a>
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226 <FONT color="green">223</FONT> * Get the final integration time.<a name="line.223"></a>
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227 <FONT color="green">224</FONT> * @return final integration time<a name="line.224"></a>
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228 <FONT color="green">225</FONT> */<a name="line.225"></a>
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229 <FONT color="green">226</FONT> public double getFinalTime() {<a name="line.226"></a>
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230 <FONT color="green">227</FONT> return finalTime;<a name="line.227"></a>
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231 <FONT color="green">228</FONT> }<a name="line.228"></a>
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232 <FONT color="green">229</FONT> <a name="line.229"></a>
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233 <FONT color="green">230</FONT> /**<a name="line.230"></a>
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234 <FONT color="green">231</FONT> * Get the time of the interpolated point.<a name="line.231"></a>
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235 <FONT color="green">232</FONT> * If {@link #setInterpolatedTime} has not been called, it returns<a name="line.232"></a>
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236 <FONT color="green">233</FONT> * the final integration time.<a name="line.233"></a>
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237 <FONT color="green">234</FONT> * @return interpolation point time<a name="line.234"></a>
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238 <FONT color="green">235</FONT> */<a name="line.235"></a>
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239 <FONT color="green">236</FONT> public double getInterpolatedTime() {<a name="line.236"></a>
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240 <FONT color="green">237</FONT> return steps.get(index).getInterpolatedTime();<a name="line.237"></a>
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241 <FONT color="green">238</FONT> }<a name="line.238"></a>
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242 <FONT color="green">239</FONT> <a name="line.239"></a>
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243 <FONT color="green">240</FONT> /** Set the time of the interpolated point.<a name="line.240"></a>
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244 <FONT color="green">241</FONT> * <p>This method should <strong>not</strong> be called before the<a name="line.241"></a>
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245 <FONT color="green">242</FONT> * integration is over because some internal variables are set only<a name="line.242"></a>
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246 <FONT color="green">243</FONT> * once the last step has been handled.</p><a name="line.243"></a>
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247 <FONT color="green">244</FONT> * <p>Setting the time outside of the integration interval is now<a name="line.244"></a>
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248 <FONT color="green">245</FONT> * allowed (it was not allowed up to version 5.9 of Mantissa), but<a name="line.245"></a>
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249 <FONT color="green">246</FONT> * should be used with care since the accuracy of the interpolator<a name="line.246"></a>
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250 <FONT color="green">247</FONT> * will probably be very poor far from this interval. This allowance<a name="line.247"></a>
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251 <FONT color="green">248</FONT> * has been added to simplify implementation of search algorithms<a name="line.248"></a>
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252 <FONT color="green">249</FONT> * near the interval endpoints.</p><a name="line.249"></a>
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253 <FONT color="green">250</FONT> * @param time time of the interpolated point<a name="line.250"></a>
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254 <FONT color="green">251</FONT> */<a name="line.251"></a>
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255 <FONT color="green">252</FONT> public void setInterpolatedTime(final double time) {<a name="line.252"></a>
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256 <FONT color="green">253</FONT> <a name="line.253"></a>
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257 <FONT color="green">254</FONT> // initialize the search with the complete steps table<a name="line.254"></a>
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258 <FONT color="green">255</FONT> int iMin = 0;<a name="line.255"></a>
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259 <FONT color="green">256</FONT> final StepInterpolator sMin = steps.get(iMin);<a name="line.256"></a>
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260 <FONT color="green">257</FONT> double tMin = 0.5 * (sMin.getPreviousTime() + sMin.getCurrentTime());<a name="line.257"></a>
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261 <FONT color="green">258</FONT> <a name="line.258"></a>
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262 <FONT color="green">259</FONT> int iMax = steps.size() - 1;<a name="line.259"></a>
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263 <FONT color="green">260</FONT> final StepInterpolator sMax = steps.get(iMax);<a name="line.260"></a>
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264 <FONT color="green">261</FONT> double tMax = 0.5 * (sMax.getPreviousTime() + sMax.getCurrentTime());<a name="line.261"></a>
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265 <FONT color="green">262</FONT> <a name="line.262"></a>
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266 <FONT color="green">263</FONT> // handle points outside of the integration interval<a name="line.263"></a>
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267 <FONT color="green">264</FONT> // or in the first and last step<a name="line.264"></a>
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268 <FONT color="green">265</FONT> if (locatePoint(time, sMin) <= 0) {<a name="line.265"></a>
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269 <FONT color="green">266</FONT> index = iMin;<a name="line.266"></a>
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270 <FONT color="green">267</FONT> sMin.setInterpolatedTime(time);<a name="line.267"></a>
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271 <FONT color="green">268</FONT> return;<a name="line.268"></a>
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272 <FONT color="green">269</FONT> }<a name="line.269"></a>
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273 <FONT color="green">270</FONT> if (locatePoint(time, sMax) >= 0) {<a name="line.270"></a>
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274 <FONT color="green">271</FONT> index = iMax;<a name="line.271"></a>
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275 <FONT color="green">272</FONT> sMax.setInterpolatedTime(time);<a name="line.272"></a>
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276 <FONT color="green">273</FONT> return;<a name="line.273"></a>
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277 <FONT color="green">274</FONT> }<a name="line.274"></a>
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278 <FONT color="green">275</FONT> <a name="line.275"></a>
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279 <FONT color="green">276</FONT> // reduction of the table slice size<a name="line.276"></a>
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280 <FONT color="green">277</FONT> while (iMax - iMin > 5) {<a name="line.277"></a>
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281 <FONT color="green">278</FONT> <a name="line.278"></a>
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282 <FONT color="green">279</FONT> // use the last estimated index as the splitting index<a name="line.279"></a>
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283 <FONT color="green">280</FONT> final StepInterpolator si = steps.get(index);<a name="line.280"></a>
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284 <FONT color="green">281</FONT> final int location = locatePoint(time, si);<a name="line.281"></a>
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285 <FONT color="green">282</FONT> if (location < 0) {<a name="line.282"></a>
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286 <FONT color="green">283</FONT> iMax = index;<a name="line.283"></a>
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287 <FONT color="green">284</FONT> tMax = 0.5 * (si.getPreviousTime() + si.getCurrentTime());<a name="line.284"></a>
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288 <FONT color="green">285</FONT> } else if (location > 0) {<a name="line.285"></a>
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289 <FONT color="green">286</FONT> iMin = index;<a name="line.286"></a>
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290 <FONT color="green">287</FONT> tMin = 0.5 * (si.getPreviousTime() + si.getCurrentTime());<a name="line.287"></a>
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291 <FONT color="green">288</FONT> } else {<a name="line.288"></a>
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292 <FONT color="green">289</FONT> // we have found the target step, no need to continue searching<a name="line.289"></a>
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293 <FONT color="green">290</FONT> si.setInterpolatedTime(time);<a name="line.290"></a>
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294 <FONT color="green">291</FONT> return;<a name="line.291"></a>
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295 <FONT color="green">292</FONT> }<a name="line.292"></a>
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296 <FONT color="green">293</FONT> <a name="line.293"></a>
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297 <FONT color="green">294</FONT> // compute a new estimate of the index in the reduced table slice<a name="line.294"></a>
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298 <FONT color="green">295</FONT> final int iMed = (iMin + iMax) / 2;<a name="line.295"></a>
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299 <FONT color="green">296</FONT> final StepInterpolator sMed = steps.get(iMed);<a name="line.296"></a>
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300 <FONT color="green">297</FONT> final double tMed = 0.5 * (sMed.getPreviousTime() + sMed.getCurrentTime());<a name="line.297"></a>
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301 <FONT color="green">298</FONT> <a name="line.298"></a>
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302 <FONT color="green">299</FONT> if ((Math.abs(tMed - tMin) < 1e-6) || (Math.abs(tMax - tMed) < 1e-6)) {<a name="line.299"></a>
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303 <FONT color="green">300</FONT> // too close to the bounds, we estimate using a simple dichotomy<a name="line.300"></a>
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304 <FONT color="green">301</FONT> index = iMed;<a name="line.301"></a>
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305 <FONT color="green">302</FONT> } else {<a name="line.302"></a>
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306 <FONT color="green">303</FONT> // estimate the index using a reverse quadratic polynom<a name="line.303"></a>
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307 <FONT color="green">304</FONT> // (reverse means we have i = P(t), thus allowing to simply<a name="line.304"></a>
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308 <FONT color="green">305</FONT> // compute index = P(time) rather than solving a quadratic equation)<a name="line.305"></a>
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309 <FONT color="green">306</FONT> final double d12 = tMax - tMed;<a name="line.306"></a>
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310 <FONT color="green">307</FONT> final double d23 = tMed - tMin;<a name="line.307"></a>
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311 <FONT color="green">308</FONT> final double d13 = tMax - tMin;<a name="line.308"></a>
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312 <FONT color="green">309</FONT> final double dt1 = time - tMax;<a name="line.309"></a>
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313 <FONT color="green">310</FONT> final double dt2 = time - tMed;<a name="line.310"></a>
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314 <FONT color="green">311</FONT> final double dt3 = time - tMin;<a name="line.311"></a>
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315 <FONT color="green">312</FONT> final double iLagrange = ((dt2 * dt3 * d23) * iMax -<a name="line.312"></a>
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316 <FONT color="green">313</FONT> (dt1 * dt3 * d13) * iMed +<a name="line.313"></a>
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317 <FONT color="green">314</FONT> (dt1 * dt2 * d12) * iMin) /<a name="line.314"></a>
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318 <FONT color="green">315</FONT> (d12 * d23 * d13);<a name="line.315"></a>
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319 <FONT color="green">316</FONT> index = (int) Math.rint(iLagrange);<a name="line.316"></a>
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320 <FONT color="green">317</FONT> }<a name="line.317"></a>
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321 <FONT color="green">318</FONT> <a name="line.318"></a>
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322 <FONT color="green">319</FONT> // force the next size reduction to be at least one tenth<a name="line.319"></a>
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323 <FONT color="green">320</FONT> final int low = Math.max(iMin + 1, (9 * iMin + iMax) / 10);<a name="line.320"></a>
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324 <FONT color="green">321</FONT> final int high = Math.min(iMax - 1, (iMin + 9 * iMax) / 10);<a name="line.321"></a>
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325 <FONT color="green">322</FONT> if (index < low) {<a name="line.322"></a>
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326 <FONT color="green">323</FONT> index = low;<a name="line.323"></a>
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327 <FONT color="green">324</FONT> } else if (index > high) {<a name="line.324"></a>
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328 <FONT color="green">325</FONT> index = high;<a name="line.325"></a>
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329 <FONT color="green">326</FONT> }<a name="line.326"></a>
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330 <FONT color="green">327</FONT> <a name="line.327"></a>
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331 <FONT color="green">328</FONT> }<a name="line.328"></a>
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332 <FONT color="green">329</FONT> <a name="line.329"></a>
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333 <FONT color="green">330</FONT> // now the table slice is very small, we perform an iterative search<a name="line.330"></a>
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334 <FONT color="green">331</FONT> index = iMin;<a name="line.331"></a>
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335 <FONT color="green">332</FONT> while ((index <= iMax) && (locatePoint(time, steps.get(index)) > 0)) {<a name="line.332"></a>
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336 <FONT color="green">333</FONT> ++index;<a name="line.333"></a>
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337 <FONT color="green">334</FONT> }<a name="line.334"></a>
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338 <FONT color="green">335</FONT> <a name="line.335"></a>
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339 <FONT color="green">336</FONT> steps.get(index).setInterpolatedTime(time);<a name="line.336"></a>
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340 <FONT color="green">337</FONT> <a name="line.337"></a>
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341 <FONT color="green">338</FONT> }<a name="line.338"></a>
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342 <FONT color="green">339</FONT> <a name="line.339"></a>
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343 <FONT color="green">340</FONT> /**<a name="line.340"></a>
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344 <FONT color="green">341</FONT> * Get the state vector of the interpolated point.<a name="line.341"></a>
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345 <FONT color="green">342</FONT> * @return state vector at time {@link #getInterpolatedTime}<a name="line.342"></a>
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346 <FONT color="green">343</FONT> * @throws DerivativeException if this call induces an automatic<a name="line.343"></a>
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347 <FONT color="green">344</FONT> * step finalization that throws one<a name="line.344"></a>
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348 <FONT color="green">345</FONT> */<a name="line.345"></a>
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349 <FONT color="green">346</FONT> public double[] getInterpolatedState() throws DerivativeException {<a name="line.346"></a>
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350 <FONT color="green">347</FONT> return steps.get(index).getInterpolatedState();<a name="line.347"></a>
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351 <FONT color="green">348</FONT> }<a name="line.348"></a>
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352 <FONT color="green">349</FONT> <a name="line.349"></a>
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353 <FONT color="green">350</FONT> /** Compare a step interval and a double.<a name="line.350"></a>
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354 <FONT color="green">351</FONT> * @param time point to locate<a name="line.351"></a>
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355 <FONT color="green">352</FONT> * @param interval step interval<a name="line.352"></a>
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356 <FONT color="green">353</FONT> * @return -1 if the double is before the interval, 0 if it is in<a name="line.353"></a>
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357 <FONT color="green">354</FONT> * the interval, and +1 if it is after the interval, according to<a name="line.354"></a>
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358 <FONT color="green">355</FONT> * the interval direction<a name="line.355"></a>
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359 <FONT color="green">356</FONT> */<a name="line.356"></a>
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360 <FONT color="green">357</FONT> private int locatePoint(final double time, final StepInterpolator interval) {<a name="line.357"></a>
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361 <FONT color="green">358</FONT> if (forward) {<a name="line.358"></a>
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362 <FONT color="green">359</FONT> if (time < interval.getPreviousTime()) {<a name="line.359"></a>
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363 <FONT color="green">360</FONT> return -1;<a name="line.360"></a>
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364 <FONT color="green">361</FONT> } else if (time > interval.getCurrentTime()) {<a name="line.361"></a>
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365 <FONT color="green">362</FONT> return +1;<a name="line.362"></a>
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366 <FONT color="green">363</FONT> } else {<a name="line.363"></a>
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367 <FONT color="green">364</FONT> return 0;<a name="line.364"></a>
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368 <FONT color="green">365</FONT> }<a name="line.365"></a>
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369 <FONT color="green">366</FONT> }<a name="line.366"></a>
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370 <FONT color="green">367</FONT> if (time > interval.getPreviousTime()) {<a name="line.367"></a>
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371 <FONT color="green">368</FONT> return -1;<a name="line.368"></a>
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372 <FONT color="green">369</FONT> } else if (time < interval.getCurrentTime()) {<a name="line.369"></a>
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373 <FONT color="green">370</FONT> return +1;<a name="line.370"></a>
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374 <FONT color="green">371</FONT> } else {<a name="line.371"></a>
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375 <FONT color="green">372</FONT> return 0;<a name="line.372"></a>
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376 <FONT color="green">373</FONT> }<a name="line.373"></a>
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377 <FONT color="green">374</FONT> }<a name="line.374"></a>
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378 <FONT color="green">375</FONT> <a name="line.375"></a>
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379 <FONT color="green">376</FONT> }<a name="line.376"></a>
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380
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439
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440 </PRE>
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441 </BODY>
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442 </HTML>
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