annotate flys-artifacts/src/main/java/de/intevation/flys/artifacts/math/fitting/InvExp.java @ 3177:585c0b49e696

Added inverses of the fitting functions. flys-artifacts/trunk@4792 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Tue, 26 Jun 2012 06:33:37 +0000
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3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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1 package de.intevation.flys.artifacts.math.fitting;
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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2
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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3 public class InvExp
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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4 extends Function
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5 {
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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6 public static final Derivative DERIVATIVE =
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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7 new Derivative("W'(Q) = 1/(log(a)*(Q-b))") {
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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8
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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9 @Override
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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10 public de.intevation.flys.artifacts.math.Function
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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11 instantiate(double [] parameters)
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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12 {
585c0b49e696 Added inverses of the fitting functions.
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13 final double a = parameters[1];
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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14 final double b = parameters[2];
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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15 final double loga = Math.log(a);
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16
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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17 return new de.intevation.flys.artifacts.math.Function() {
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18 @Override
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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19 public double value(double Q) {
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20 return 1d/(loga*(Q-a));
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21 }
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22 };
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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23 }
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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24 };
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25
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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26 public static final Function INSTANCE = new InvExp();
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27
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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28 public InvExp() {
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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29 super(
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30 "inv-exp",
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31 "Q(W) = log((W-b)/m)/log(a)",
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32 new String [] { "m", "a", "b" });
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33 }
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34
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35 @Override
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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36 public double value(double W, double [] parameters) {
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37 double m = parameters[0];
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38 double a = parameters[1];
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39 double b = parameters[2];
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40 return Math.log((W-b)/m)/Math.log(a);
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41 }
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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42
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43 @Override
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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44 public double [] gradient(double Q, double [] parameters) {
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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45 double m = parameters[0];
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46 double a = parameters[1];
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47 double b = parameters[2];
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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48 double loga = Math.log(a);
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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49 return new double [] {
585c0b49e696 Added inverses of the fitting functions.
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50 -1d/(loga*m),
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51 -Math.log((Q-b)/m)/(a*loga*loga),
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52 -1d/(loga*(Q-b))
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53 };
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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54 }
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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55
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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56 @Override
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57 public Derivative getDerivative() {
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58 return DERIVATIVE;
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59 }
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60
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61 @Override
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62 public Function getInverse() {
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63 return Exp.INSTANCE;
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64 }
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65 }
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66 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :

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