annotate artifacts/src/main/java/org/dive4elements/river/artifacts/math/fitting/InvQuad.java @ 5863:4897a58c8746

River artifacts: Added new copyright headers.
author Sascha L. Teichmann <teichmann@intevation.de>
date Sun, 28 Apr 2013 14:40:59 +0200
parents 5aa05a7a34b7
children af13ceeba52a
rev   line source
5863
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
1 /* Copyright (C) 2011, 2012, 2013 by Bundesanstalt für Gewässerkunde
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
2 * Software engineering by Intevation GmbH
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
3 *
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
4 * This file is Free Software under the GNU AGPL (>=v3)
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
5 * and comes with ABSOLUTELY NO WARRANTY! Check out the
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
6 * documentation coming with Dive4Elements River for details.
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
7 */
4897a58c8746 River artifacts: Added new copyright headers.
Sascha L. Teichmann <teichmann@intevation.de>
parents: 5838
diff changeset
8
5831
bd047b71ab37 Repaired internal references
Sascha L. Teichmann <teichmann@intevation.de>
parents: 3181
diff changeset
9 package org.dive4elements.river.artifacts.math.fitting;
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
10
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
11 public class InvQuad
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
12 extends Function
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
13 {
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
14 public static final Derivative DERIVATIVE =
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
15 new Derivative("Q'(W) = 1/sqrt(4*n*(W-b)+m^2)") {
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
16
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
17 @Override
5831
bd047b71ab37 Repaired internal references
Sascha L. Teichmann <teichmann@intevation.de>
parents: 3181
diff changeset
18 public org.dive4elements.river.artifacts.math.Function
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
19 instantiate(double [] parameters)
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
20 {
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
21 double n = parameters[0];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
22 double m = parameters[1];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
23 final double b = parameters[2];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
24 final double n4 = 4d*n;
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
25 final double mm = m*m;
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
26
5831
bd047b71ab37 Repaired internal references
Sascha L. Teichmann <teichmann@intevation.de>
parents: 3181
diff changeset
27 return new org.dive4elements.river.artifacts.math.Function() {
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
28 @Override
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
29 public double value(double W) {
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
30 return 1d/Math.sqrt(n4*(W-b)+mm);
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
31 }
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
32 };
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
33 }
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
34 };
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
35
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
36 public static final Function INSTANCE = new InvQuad();
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
37
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
38 public InvQuad() {
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
39 super(
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
40 "inv-quad",
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
41 "(sqrt(4*n*W-4*b*n+m^2)-m)/(2*n)",
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
42 new String [] { "n", "m", "b" });
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
43 }
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
44
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
45 @Override
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
46 public double value(double W, double [] parameters) {
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
47 double n = parameters[0];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
48 double m = parameters[1];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
49 double b = parameters[2];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
50 return (Math.sqrt(4d*n*(W - b) + m*m)-m)/(2d*n);
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
51 }
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
52
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
53 @Override
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
54 public double [] gradient(double W, double [] parameters) {
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
55 double n = parameters[0];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
56 double m = parameters[1];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
57 double b = parameters[2];
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
58 double Wb = W-b;
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
59 double sn4Wb = Math.sqrt(4d*n*Wb + m*m);
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
60 return new double [] {
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
61 Wb/(n*sn4Wb)-(sn4Wb-m)/(2d*n*n),
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
62 (m/sn4Wb-1d)/(2d*n),
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
63 -1d/sn4Wb
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
64 };
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
65 }
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
66
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
67 @Override
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
68 public Derivative getDerivative() {
3181
de67497de5a0 Completed inverse functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3178
diff changeset
69 return DERIVATIVE;
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
70 }
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
71
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
72 @Override
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
73 public Function getInverse() {
3178
59b14bc676ec Fitting: Link the functions to there inverses via getInverse().
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 3177
diff changeset
74 return Quad.INSTANCE;
3177
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
75 }
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
76 }
585c0b49e696 Added inverses of the fitting functions.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
77 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :

http://dive4elements.wald.intevation.org