comparison flys-artifacts/src/main/java/de/intevation/flys/artifacts/math/fitting/InvQuad.java @ 3181:de67497de5a0

Completed inverse functions. flys-artifacts/trunk@4796 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Tue, 26 Jun 2012 10:54:12 +0000
parents 59b14bc676ec
children
comparison
equal deleted inserted replaced
3180:4d5b15049ac2 3181:de67497de5a0
1 package de.intevation.flys.artifacts.math.fitting; 1 package de.intevation.flys.artifacts.math.fitting;
2 2
3 public class InvQuad 3 public class InvQuad
4 extends Function 4 extends Function
5 { 5 {
6 public static final Derivative DERIVATIVE =
7 new Derivative("Q'(W) = 1/sqrt(4*n*(W-b)+m^2)") {
8
9 @Override
10 public de.intevation.flys.artifacts.math.Function
11 instantiate(double [] parameters)
12 {
13 double n = parameters[0];
14 double m = parameters[1];
15 final double b = parameters[2];
16 final double n4 = 4d*n;
17 final double mm = m*m;
18
19 return new de.intevation.flys.artifacts.math.Function() {
20 @Override
21 public double value(double W) {
22 return 1d/Math.sqrt(n4*(W-b)+mm);
23 }
24 };
25 }
26 };
27
6 public static final Function INSTANCE = new InvQuad(); 28 public static final Function INSTANCE = new InvQuad();
7 29
8 public InvQuad() { 30 public InvQuad() {
9 // TODO: Implement me! 31 super(
32 "inv-quad",
33 "(sqrt(4*n*W-4*b*n+m^2)-m)/(2*n)",
34 new String [] { "n", "m", "b" });
10 } 35 }
11 36
12 @Override 37 @Override
13 public double value(double W, double [] parameters) { 38 public double value(double W, double [] parameters) {
14 // TODO: Implement me! 39 double n = parameters[0];
15 return 0d; 40 double m = parameters[1];
41 double b = parameters[2];
42 return (Math.sqrt(4d*n*(W - b) + m*m)-m)/(2d*n);
16 } 43 }
17 44
18 @Override 45 @Override
19 public double [] gradient(double Q, double [] parameters) { 46 public double [] gradient(double W, double [] parameters) {
20 // TODO: Implement me! 47 double n = parameters[0];
21 return null; 48 double m = parameters[1];
49 double b = parameters[2];
50 double Wb = W-b;
51 double sn4Wb = Math.sqrt(4d*n*Wb + m*m);
52 return new double [] {
53 Wb/(n*sn4Wb)-(sn4Wb-m)/(2d*n*n),
54 (m/sn4Wb-1d)/(2d*n),
55 -1d/sn4Wb
56 };
22 } 57 }
23 58
24 @Override 59 @Override
25 public Derivative getDerivative() { 60 public Derivative getDerivative() {
26 // TODO: Implement me! 61 return DERIVATIVE;
27 return null;
28 } 62 }
29 63
30 @Override 64 @Override
31 public Function getInverse() { 65 public Function getInverse() {
32 return Quad.INSTANCE; 66 return Quad.INSTANCE;

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