Moved Mathematics class into tools.math package.

This commit is contained in:
Andreas Dräger 2010-01-07 09:10:19 +00:00
parent 395ffb044c
commit 004ad51265
37 changed files with 505 additions and 447 deletions

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@ -20,8 +20,8 @@ import java.io.Serializable;
import java.util.ArrayList;
import java.util.Arrays;
import eva2.tools.Mathematics;
import eva2.tools.chart2d.*;
import eva2.tools.math.Mathematics;
/*==========================================================================*
* CLASS DECLARATION
*==========================================================================*/

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@ -15,9 +15,9 @@ package eva2.gui;
import java.awt.*;
import eva2.server.go.problems.Interface2DBorderProblem;
import eva2.tools.Mathematics;
import eva2.tools.chart2d.*;
import eva2.tools.diagram.ColorBarCalculator;
import eva2.tools.math.Mathematics;
/*==========================================================================*

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@ -6,7 +6,7 @@ import eva2.server.go.operators.mutation.InterfaceMutation;
import eva2.server.go.operators.mutation.MutateESGlobal;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.EVAERROR;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/** This individual uses a real-valued genotype to code for double values.

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@ -9,9 +9,9 @@ import eva2.gui.BeanInspector;
import eva2.gui.GenericObjectEditor;
import eva2.server.go.problems.GPFunctionProblem;
import eva2.server.go.problems.InterfaceProgramProblem;
import eva2.tools.Mathematics;
import eva2.tools.Pair;
import eva2.tools.ReflectPackage;
import eva2.tools.math.Mathematics;
/** This gives an abstract node, with default functionality for get and set methods.

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@ -2,7 +2,7 @@ package eva2.server.go.individuals.codings.gp;
import eva2.server.go.problems.InterfaceProgramProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* A simple product node with a single, possibly vectorial (array), argument.

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@ -2,7 +2,7 @@ package eva2.server.go.individuals.codings.gp;
import eva2.server.go.problems.InterfaceProgramProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* A simple sum node with a single, possibly vectorial (array), argument.

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@ -5,7 +5,7 @@ import java.io.Serializable;
import eva2.gui.GenericObjectEditor;
import eva2.server.go.individuals.AbstractEAIndividual;
import eva2.tools.EVAERROR;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* A constraint for a parameter or a generic function to lie within certain bounds.

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@ -10,7 +10,7 @@ import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.F1Problem;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -10,7 +10,7 @@ import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.F1Problem;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -10,7 +10,7 @@ import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.F1Problem;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -7,8 +7,8 @@ import eva2.server.go.individuals.AbstractEAIndividual;
import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.SelectedTag;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;

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@ -4,7 +4,7 @@ import eva2.server.go.individuals.AbstractEAIndividual;
import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
import eva2.tools.math.Jama.EigenvalueDecomposition;
import eva2.tools.math.Jama.Matrix;

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@ -4,7 +4,7 @@ import eva2.server.go.individuals.AbstractEAIndividual;
import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -4,7 +4,7 @@ import eva2.server.go.individuals.AbstractEAIndividual;
import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -13,8 +13,8 @@ import eva2.server.go.populations.Population;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.server.go.strategies.EvolutionStrategies;
import eva2.tools.EVAERROR;
import eva2.tools.Mathematics;
import eva2.tools.Pair;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
import eva2.tools.math.Jama.EigenvalueDecomposition;
import eva2.tools.math.Jama.Matrix;

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@ -4,7 +4,7 @@ import java.io.Serializable;
import eva2.gui.BeanInspector;
import eva2.server.go.populations.Population;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* Simple linear adaption of a String property.

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@ -2,7 +2,7 @@ package eva2.server.go.operators.paramcontrol;
import java.io.Serializable;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* Linearly adapt a specific target String parameter.

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@ -4,7 +4,7 @@ import java.io.Serializable;
import eva2.server.go.populations.Population;
import eva2.server.go.strategies.ParticleSwarmOptimization;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* After the ANTS 08 paper by Yasuda et al., this implements an activity feedback control mechanism.

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@ -3,7 +3,7 @@ package eva2.server.go.operators.paramcontrol;
import java.io.Serializable;
import eva2.gui.GenericObjectEditor;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* Adapt PSO inertness linearly by time, from given start to end value.

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@ -41,8 +41,8 @@ import eva2.server.go.strategies.NelderMeadSimplex;
import eva2.server.modules.GOParameters;
import eva2.server.stat.InterfaceTextListener;
import eva2.server.stat.StatsParameter;
import eva2.tools.Mathematics;
import eva2.tools.Pair;
import eva2.tools.math.Mathematics;
/**

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@ -20,8 +20,8 @@ import eva2.server.go.operators.distancemetric.InterfaceDistanceMetric;
import eva2.server.go.operators.distancemetric.PhenotypeMetric;
import eva2.server.go.operators.selection.probability.AbstractSelProb;
import eva2.tools.EVAERROR;
import eva2.tools.Mathematics;
import eva2.tools.Pair;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
import eva2.tools.math.Jama.Matrix;
import eva2.tools.tool.StatisticUtils;

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@ -28,7 +28,7 @@ import eva2.server.go.operators.terminators.EvaluationTerminator;
import eva2.server.go.operators.terminators.PhenotypeConvergenceTerminator;
import eva2.server.go.populations.Population;
import eva2.server.go.strategies.InterfaceOptimizer;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* Created by IntelliJ IDEA.

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@ -1,7 +1,7 @@
package eva2.server.go.problems;
import eva2.server.go.individuals.ESIndividualDoubleData;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.Jama.Matrix;
/**

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@ -27,10 +27,10 @@ import eva2.server.go.problems.Interface2DBorderProblem;
import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.server.go.problems.TF1Problem;
import eva2.tools.Mathematics;
import eva2.tools.chart2d.DPoint;
import eva2.tools.chart2d.DPointIcon;
import eva2.tools.chart2d.DPointSet;
import eva2.tools.math.Mathematics;
/** The infamous clustering based niching EA, still under construction.
* It should be able to identify and track multiple global/local optima

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@ -17,7 +17,7 @@ import eva2.server.go.problems.AbstractOptimizationProblem;
import eva2.server.go.problems.F1Problem;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.EVAERROR;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -8,8 +8,8 @@ import eva2.server.go.individuals.InterfaceESIndividual;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.AbstractOptimizationProblem;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.SelectedTag;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
/**

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@ -13,7 +13,7 @@ import eva2.server.go.populations.SolutionSet;
import eva2.server.go.problems.AbstractOptimizationProblem;
import eva2.server.go.problems.AbstractProblemDouble;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/**
* Nelder-Mead-Simplex does not guarantee an equal number of evaluations within each optimize call

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@ -27,10 +27,10 @@ import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
import eva2.server.go.problems.InterfaceOptimizationProblem;
import eva2.server.go.problems.InterfaceProblemDouble;
import eva2.tools.EVAERROR;
import eva2.tools.Mathematics;
import eva2.tools.SelectedTag;
import eva2.tools.chart2d.DPoint;
import eva2.tools.chart2d.DPointSet;
import eva2.tools.math.Mathematics;
import eva2.tools.math.RNG;
import eva2.tools.math.Jama.Matrix;

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@ -18,8 +18,8 @@ import eva2.server.go.populations.InterfaceSolutionSet;
import eva2.server.go.populations.Population;
import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
import eva2.server.go.strategies.InterfaceOptimizer;
import eva2.tools.Mathematics;
import eva2.tools.Pair;
import eva2.tools.math.Mathematics;
/**
* An abstract class handling statistics. Most important stuff happens in startOptPerformed, stopOptPerformed

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@ -23,7 +23,7 @@ import java.util.List;
import eva2.server.go.PopulationInterface;
import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/*

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@ -19,7 +19,7 @@ package eva2.tools.chart2d;
import java.awt.Color ;
import java.awt.Graphics ;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
/*==========================================================================*
* CLASS DECLARATION

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@ -4,7 +4,7 @@ import java.awt.* ;
import javax.swing.BorderFactory;
import javax.swing.border.* ;
import eva2.tools.Mathematics;
import eva2.tools.math.Mathematics;
import java.awt.geom.AffineTransform ;
import java.text.NumberFormat;

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@ -11,44 +11,53 @@ package eva2.tools.des;
import java.io.Serializable;
/**
*
*
* TODO: comment missing
*
*
* @since 2.0
* @version
* Copyright (c) ZBiT, University of Tübingen, Germany
* Compiler: JDK 1.6.0
* @version Copyright (c) ZBiT, University of Tübingen, Germany Compiler:
* JDK 1.6.0
* @date Sep 10, 2007
*
*
*/
public interface DESSolver extends Serializable {
/**
*
* @return
*/
public boolean isUnstable();
/**
* put your documentation comment here
*
* @param DES
* @param initalvalue
* @param x
* @param h
* @param steps
* @return
*/
public double[][] solve(DESystem DES, double[] initalvalue, double x,
double h, int steps);
/**
* put your documentation comment here
*
* @param DES
* @param initalvalue
* @param x
* @param h
* @param steps
* @return
*/
public double[][] solve(DESystem DES, double[] initalvalue, double x,
double h, int steps);
public double[][] solveAtTimePoints(DESystem DES, double[] initialvalue,
double[] timepoints);
public double[][] solveAtTimePointsWithInitialConditions(DESystem DES,
double[][] initconditions, double[] timepoints);
public boolean isUnstable();
/*
* public double[][] solveatTimepointsSSystem (double[] param, int order,
* double[] initialvalue, double[] timepoints); public boolean
* lastDESystemInvalid(); public void plotY(); public double[][]
* solveatTimepointsSSystemSeparated (double[] param, int order, double[]
* initialvalue, double[] timepoints, GEdata gedata, int tooptimize);
*/
/**
*
* @param DES
* @param initialvalue
* @param timepoints
* @return
*/
public double[][] solveAtTimePoints(DESystem DES, double[] initialvalue,
double[] timepoints);
/**
*
* @param DES
* @param initconditions
* @param timepoints
* @return
*/
public double[][] solveAtTimePointsWithInitialConditions(DESystem DES,
double[][] initconditions, double[] timepoints);
}

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@ -1,419 +1,469 @@
package eva2.tools.des;
import eva2.tools.Mathematics;
import java.io.Serializable;
import eva2.tools.math.Mathematics;
/**
* Title: JAVA-EVA Description: Runge-Kutta Method Copyright: Copyright (c) 2002
* Company: University of Tübingen, Computer Architecture
*
*
* @author Hannes Planatscher
* @author Andreas Dräger
* @author Marcel Kronfeld
* @version 1.0 Status: works, but numerical inaccurate
*/
public class RKSolver implements DESSolver, java.io.Serializable {
double stepSize = 0.01;
boolean nonnegative = true;
boolean unstableFlag;
transient protected double[][] kVals = null;
transient protected double[] k0tmp, k1tmp, k2tmp;
private static boolean useLinearCalc = true;
public class RKSolver implements DESSolver, Serializable {
/**
*
*/
private static final long serialVersionUID = -3383457963743552159L;
/**
*
*/
private static boolean useLinearCalc = true;
/**
/**
*
* @param args
*/
public static void main(String args[]) {
new RKSolver(0.01);
}
/**
*
*/
transient protected double[] k0tmp, k1tmp, k2tmp;
/**
*
*/
transient protected double[][] kVals = null;
/**
*
*/
boolean nonnegative = true;
/**
*
*/
double stepSize = 0.01;
/**
*
*/
boolean unstableFlag;
/**
*
*/
public RKSolver() {
}
/**
* A constructor.
*
* @param withLinearCalc
* set whether the linear or old calculation method will be used.
*/
public RKSolver(boolean withLinearCalc) {
useLinearCalc = withLinearCalc;
}
/**
* put your documentation comment here
*/
public RKSolver(double stepSize) {
this.stepSize = stepSize;
}
/**
* @return
*/
public double getStepSize() {
return stepSize;
}
/**
* @return
*/
public boolean isUnstable() {
return unstableFlag;
}
/**
* @param DES
* @param h
* @param x
* @param Ytemp
* @return
*/
public double[] rkTerm(DESystem DES, double h, double x, double[] Ytemp) {
double[][] K = new double[4][];
K[0] = Mathematics.svMult(h, DES.getValue(x, Ytemp));
K[1] = Mathematics.svMult(h, DES.getValue(x + h / 2, Mathematics.vvAdd(
Ytemp, Mathematics.svMult(0.5, K[0]))));
K[2] = Mathematics.svMult(h, DES.getValue(x + h / 2, Mathematics.vvAdd(
Ytemp, Mathematics.svMult(0.5, K[1]))));
K[3] = Mathematics.svMult(h, DES.getValue(x + h, Mathematics.vvAdd(
Ytemp, K[2])));
double[] change = Mathematics.svDiv(6, Mathematics.vvAdd(K[0],
Mathematics.vvAdd(Mathematics.svMult(2, K[1]), Mathematics
.vvAdd(Mathematics.svMult(2, K[2]), K[3]))));
for (int k = 0; k < change.length; k++) {
if (Double.isNaN(change[k])) {
unstableFlag = true;
change[k] = 0;
// return result;
}
}
return change;
}
/**
* Linearized code for speed-up (no allocations).
*
* @param DES
* @param h
* @param x
* @param Ytemp
* @return
*/
public void rkTerm2(DESystem DES, double h, double x, double[] Ytemp,
double[] res) {
if (kVals == null) { // "static" vectors which are allocated only once
k0tmp = new double[DES.getDESystemDimension()];
k1tmp = new double[DES.getDESystemDimension()];
k2tmp = new double[DES.getDESystemDimension()];
kVals = new double[4][DES.getDESystemDimension()];
}
// double[][] K = new double[4][];
DES.getValue(x, Ytemp, kVals[0]);
Mathematics.svMult(h, kVals[0], kVals[0]);
// K[0] = svMult(h, DES.getValue(x, Ytemp));
Mathematics.svMult(0.5, kVals[0], k0tmp);
Mathematics.vvAdd(Ytemp, k0tmp, k0tmp);
DES.getValue(x + h / 2, k0tmp, kVals[1]);
Mathematics.svMult(h, kVals[1], kVals[1]);
// K[1] = svMult(h, DES.getValue(x + h / 2, vvAdd(Ytemp, svMult(0.5,
// K[0]))));
Mathematics.svMult(0.5, kVals[1], k1tmp);
Mathematics.vvAdd(Ytemp, k1tmp, k1tmp);
DES.getValue(x + h / 2, k1tmp, kVals[2]);
Mathematics.svMult(h, kVals[2], kVals[2]);
// K[2] = svMult(h, DES.getValue(x + h / 2, vvAdd(Ytemp, svMult(0.5,
// K[1]))));
Mathematics.vvAdd(Ytemp, kVals[2], k2tmp);
DES.getValue(x + h, k2tmp, k1tmp);
Mathematics.svMult(h, k1tmp, kVals[3]);
// K[3] = svMult(h, DES.getValue(x + h, vvAdd(Ytemp, K[2])));
Mathematics.svMult(2, kVals[2], k0tmp);
Mathematics.vvAdd(k0tmp, kVals[3], k0tmp);
Mathematics.svMult(2, kVals[1], k1tmp);
Mathematics.vvAdd(k1tmp, k0tmp, k2tmp);
Mathematics.vvAdd(kVals[0], k2tmp, k1tmp);
Mathematics.svDiv(6, k1tmp, res);
// double[] change = svDiv(6, vvAdd(K[0], vvAdd(svMult(2, K[1]),
// vvAdd(svMult(2, K[2]), K[3]))));
// for (int i=0; i<res.length; i++) {
// double diff = Math.abs(res[i]-change[i]);
// if (diff > 0.00000001) System.out.println("!!! ");
// }
// double[] change = svdiv(6, vvadd(kVals[0], vvadd(svmult(2, kVals[1]),
// vvadd(svmult(2, kVals[2]), kVals[3]))));
for (int k = 0; k < res.length; k++) {
if (Double.isNaN(res[k])) {
unstableFlag = true;
res[k] = 0;
// return result;
}
}
}
/**
* @param stepSize
*/
public void setStepSize(double stepSize) {
this.stepSize = stepSize;
}
/**
* @param unstableFlag
*/
public void setUnstableFlag(boolean unstableFlag) {
this.unstableFlag = unstableFlag;
}
/**
* Set whether the linear or old calculation method will be used.
*
* @param withLinearCalc
*/
public void setWithLinearCalc(boolean withLinearCalc) {
useLinearCalc = withLinearCalc;
}
/**
* put your documentation comment here
*
* @param DES
* @param initialValues
* @param x
* @param h
* @param steps
* @return
*/
public double[][] solve(DESystem DES, double[] initialValues, double x,
double h, int steps) {
double[] timeVector = new double[steps];
for (int i = 0; i < steps; i++)
timeVector[i] = x + i * h;
return solveAtTimePoints(DES, initialValues, timeVector);
}
public double[][] solveAtTimePoints(DESystem DES, double[] initialValues,
double[] timePoints) {
return solveAtTimePoints(DES, initialValues, timePoints, false);
}
/**
* This method returns a matrix in which the first column includes all time
* points. Every row is composed as time and all values at this time point.
* It uses the same integration method than the regular
* <code>solveatTimepoints</code> method.
*
* @param DES
* @param initialValues
* @param timePoints
* @return
*/
public double[][] solveAtTimePointsIncludingTime(DESystem DES,
double[] initialValues, double[] timePoints) {
return solveAtTimePoints(DES, initialValues, timePoints, true);
}
/**
*
*/
public RKSolver() {
}
public double[][] solveAtTimePointsWithInitialConditions(DESystem DES,
double[][] initConditions, double[] timePoints) {
int order = DES.getDESystemDimension();
double[][] result = new double[timePoints.length][order];
result[0] = initConditions[0];
double x = timePoints[0];
for (int i = 1; i < timePoints.length; i++) {
double h = stepSize;
double[] Ytemp = new double[order];
int inbetweensteps = (int) Math
.floor((timePoints[i] - timePoints[i - 1]) / h);
Ytemp = (double[]) initConditions[i - 1].clone();
for (int j = 0; j < inbetweensteps; j++) {
double change[] = rkTerm(DES, h, x, Ytemp);
Ytemp = Mathematics.vvAdd(Ytemp, change);
x += h;
}
/**
* A constructor.
*
* @param withLinearCalc set whether the linear or old calculation method will be used.
*/
public RKSolver(boolean withLinearCalc) {
useLinearCalc = withLinearCalc;
}
h = timePoints[i] - x;
double change[] = rkTerm(DES, h, x, Ytemp);
/**
* put your documentation comment here
*/
public RKSolver(double stepSize) {
this.stepSize = stepSize;
}
/**
* Set whether the linear or old calculation method will be used.
*
* @param withLinearCalc
*/
public void setWithLinearCalc(boolean withLinearCalc) {
useLinearCalc = withLinearCalc;
}
Ytemp = Mathematics.vvAdd(Ytemp, change);
/**
* put your documentation comment here
*
* @param DES
* @param initialValues
* @param x
* @param h
* @param steps
* @return
*/
public double[][] solve(DESystem DES, double[] initialValues, double x,
double h, int steps) {
double[] timeVector = new double[steps];
for (int i = 0; i < steps; i++)
timeVector[i] = x + i * h;
return solveAtTimePoints(DES, initialValues, timeVector);
}
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0) {
Ytemp[k] = 0;
}
}
}
result[i] = Ytemp;
x += h;
}
/**
* @param DES
* @param initialValues
* @param timeBegin
* @param timeEnd
* @return
*/
public double[][] solveByStepSize(DESystem DES, double[] initialValues,
double timeBegin, double timeEnd) {
return solveByStepSize(DES, initialValues, timeBegin, timeEnd, false);
}
return result;
/**
* @param DES
* @param initialValues
* @param timeBegin
* @param timeEnd
* @return
*/
public double[][] solveByStepSizeIncludingTime(DESystem DES,
double[] initialValues, double timeBegin, double timeEnd) {
return solveByStepSize(DES, initialValues, timeBegin, timeEnd, true);
}
}
/**
* @param DES
* @param initialValues
* @param timeBegin
* @param timeEnd
* @return
*/
private double[][] solveByStepSize(DESystem DES, double[] initialValues,
double timeBegin, double timeEnd, boolean time) {
int numsteps = (int) Math.round(((timeEnd - timeBegin) / stepSize) + 1);
unstableFlag = false;
// System.out.println(numsteps);
int order = DES.getDESystemDimension(), i;
double[][] result;
if (time) {
result = new double[numsteps][order + 1];
result[0][0] = timeBegin;
for (i = 0; i < order; i++)
result[0][i + 1] = initialValues[i];
} else {
result = new double[numsteps][order];
for (i = 0; i < order; i++)
result[0][i] = initialValues[i];
}
double x = timeBegin;
for (i = 1; i < numsteps; i++) {
double h = stepSize, change[] = null, Ytemp[] = null;
if (time) {
double tmp[] = new double[result[i - 1].length - 1];
System.arraycopy(result[i - 1], 1, tmp, 0, result[i - 1].length - 1);
change = rkTerm(DES, h, x, tmp);
Ytemp = Mathematics.vvAdd(tmp, change);
} else {
change = rkTerm(DES, h, x, result[i - 1]);
Ytemp = Mathematics.vvAdd(result[i - 1], change);
}
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0) Ytemp[k] = 0;
}
}
x += h;
if (time) {
System.arraycopy(Ytemp, 0, result[i], 1, Ytemp.length);
result[i][0] = x;
} else result[i] = Ytemp;
}
/**
* @param DES
* @param initialValues
* @param timeBegin
* @param timeEnd
* @return
*/
public double[][] solveByStepSize(DESystem DES, double[] initialValues,
double timeBegin, double timeEnd) {
return solveByStepSize(DES, initialValues, timeBegin, timeEnd, false);
}
return result;
}
/**
* @param DES
* @param initialValues
* @param timeBegin
* @param timeEnd
* @return
*/
public double[][] solveByStepSizeIncludingTime(DESystem DES,
double[] initialValues, double timeBegin, double timeEnd) {
return solveByStepSize(DES, initialValues, timeBegin, timeEnd, true);
}
public double[][] solveAtTimePoints(DESystem DES, double[] initialValues,
double[] timePoints) {
return solveAtTimePoints(DES, initialValues, timePoints, false);
}
/**
* When set to <code>TRUE</code>, <code>includeTimes</code> will make the
* solver to return a matrix with the first column containing the times. By
* default the result of the ODE solver just returns the values for Y.
*
* @param includeTimes
*/
private double[][] solveAtTimePoints(DESystem DES, double[] initialValues,
double[] timePoints, boolean includeTimes) {
// sorted timepoints!!!!!!!!!!!!!!!!!!!!!
int order = DES.getDESystemDimension();
double result[][], x = timePoints[0];
if (includeTimes) {
result = new double[timePoints.length][order + 1];
result[0][0] = timePoints[0];
for (int i = 1; i <= order; i++)
result[0][i] = initialValues[i - 1];
} else {
result = new double[timePoints.length][order];
for (int i = 0; i < order; i++)
result[0][i] = initialValues[i];
}
// System.out.println("JavaCalled");
unstableFlag = false;
/**
* This method returns a matrix in which the first column includes all time
* points. Every row is composed as time and all values at this time point. It
* uses the same integration method than the regular
* <code>solveatTimepoints</code> method.
*
* @param DES
* @param initialValues
* @param timePoints
* @return
*/
public double[][] solveAtTimePointsIncludingTime(DESystem DES,
double[] initialValues, double[] timePoints) {
return solveAtTimePoints(DES, initialValues, timePoints, true);
}
double h = stepSize;
double change[] = new double[order];
double[] Ytemp = new double[order];
/**
* When set to <code>TRUE</code>, <code>includeTimes</code> will make the
* solver to return a matrix with the first column containing the times. By
* default the result of the ODE solver just returns the values for Y.
*
* @param includeTimes
*/
private double[][] solveAtTimePoints(DESystem DES, double[] initialValues,
double[] timePoints, boolean includeTimes) {
// sorted timepoints!!!!!!!!!!!!!!!!!!!!!
int order = DES.getDESystemDimension();
double result[][], x = timePoints[0];
if (includeTimes) {
result = new double[timePoints.length][order + 1];
result[0][0] = timePoints[0];
for (int i = 1; i <= order; i++)
result[0][i] = initialValues[i - 1];
} else {
result = new double[timePoints.length][order];
for (int i = 0; i < order; i++)
result[0][i] = initialValues[i];
}
// System.out.println("JavaCalled");
unstableFlag = false;
for (int i = 1; i < timePoints.length; i++) {
h = stepSize;
double h = stepSize;
double change[] = new double[order];
double[] Ytemp = new double[order];
// int inbetweensteps = (int) Math.round((timePoints[i] -
// timePoints[i -
// 1]) / h + 1);
int inbetweensteps = (int) Math
.floor((timePoints[i] - timePoints[i - 1]) / h);
for (int i = 1; i < timePoints.length; i++) {
h = stepSize;
// System.out.println("inbetweensteps at " + i + ": " +
// inbetweensteps);
if (includeTimes)
System.arraycopy(result[i - 1], 1, Ytemp, 0,
result[i - 1].length - 1);
else
Ytemp = result[i - 1].clone();
// int inbetweensteps = (int) Math.round((timePoints[i] - timePoints[i -
// 1]) / h + 1);
int inbetweensteps = (int) Math.floor((timePoints[i] - timePoints[i - 1])
/ h);
for (int j = 0; j < inbetweensteps; j++) {
if (useLinearCalc)
rkTerm2(DES, h, x, Ytemp, change);
else
change = rkTerm(DES, h, x, Ytemp);
// System.out.println("aft change 0 " + change[0]);
//System.out.println("inbetweensteps at " + i + ": " + inbetweensteps);
if (includeTimes)
System.arraycopy(result[i - 1], 1, Ytemp, 0, result[i - 1].length - 1);
else Ytemp = result[i - 1].clone();
Mathematics.vvAdd(Ytemp, change, Ytemp);
for (int j = 0; j < inbetweensteps; j++) {
if (useLinearCalc) rkTerm2(DES, h, x, Ytemp, change);
else change = rkTerm(DES, h, x, Ytemp);
// System.out.println("aft change 0 " + change[0]);
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0)
Ytemp[k] = 0;
}
}
Mathematics.vvAdd(Ytemp, change, Ytemp);
x += h;
}
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0) Ytemp[k] = 0;
}
}
h = timePoints[i] - x;
x += h;
}
if (useLinearCalc)
rkTerm2(DES, h, x, Ytemp, change);
else
change = rkTerm(DES, h, x, Ytemp);
h = timePoints[i] - x;
Mathematics.vvAdd(Ytemp, change, Ytemp);
if (useLinearCalc) rkTerm2(DES, h, x, Ytemp, change);
else change = rkTerm(DES, h, x, Ytemp);
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0)
Ytemp[k] = 0;
}
}
Mathematics.vvAdd(Ytemp, change, Ytemp);
if (includeTimes) {
result[i][0] = timePoints[i];
System.arraycopy(Ytemp, 0, result[i], 1, Ytemp.length);
} else
result[i] = Ytemp;
x += h;
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0) Ytemp[k] = 0;
}
}
}
if (includeTimes) {
result[i][0] = timePoints[i];
System.arraycopy(Ytemp, 0, result[i], 1, Ytemp.length);
} else result[i] = Ytemp;
x += h;
return result;
}
}
/**
* @param DES
* @param initialValues
* @param timeBegin
* @param timeEnd
* @return
*/
private double[][] solveByStepSize(DESystem DES, double[] initialValues,
double timeBegin, double timeEnd, boolean time) {
int numsteps = (int) Math.round(((timeEnd - timeBegin) / stepSize) + 1);
unstableFlag = false;
// System.out.println(numsteps);
int order = DES.getDESystemDimension(), i;
double[][] result;
if (time) {
result = new double[numsteps][order + 1];
result[0][0] = timeBegin;
for (i = 0; i < order; i++)
result[0][i + 1] = initialValues[i];
} else {
result = new double[numsteps][order];
for (i = 0; i < order; i++)
result[0][i] = initialValues[i];
}
double x = timeBegin;
for (i = 1; i < numsteps; i++) {
double h = stepSize, change[] = null, Ytemp[] = null;
if (time) {
double tmp[] = new double[result[i - 1].length - 1];
System.arraycopy(result[i - 1], 1, tmp, 0,
result[i - 1].length - 1);
change = rkTerm(DES, h, x, tmp);
Ytemp = Mathematics.vvAdd(tmp, change);
} else {
change = rkTerm(DES, h, x, result[i - 1]);
Ytemp = Mathematics.vvAdd(result[i - 1], change);
}
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0)
Ytemp[k] = 0;
}
}
x += h;
if (time) {
System.arraycopy(Ytemp, 0, result[i], 1, Ytemp.length);
result[i][0] = x;
} else
result[i] = Ytemp;
}
return result;
}
/**
*
*/
public double[][] solveAtTimePointsWithInitialConditions(DESystem DES,
double[][] initConditions, double[] timePoints) {
int order = DES.getDESystemDimension();
double[][] result = new double[timePoints.length][order];
result[0] = initConditions[0];
double x = timePoints[0];
for (int i = 1; i < timePoints.length; i++) {
double h = stepSize;
double[] Ytemp = new double[order];
int inbetweensteps = (int) Math.floor((timePoints[i] - timePoints[i - 1])
/ h);
Ytemp = (double[]) initConditions[i - 1].clone();
for (int j = 0; j < inbetweensteps; j++) {
double change[] = rkTerm(DES, h, x, Ytemp);
Ytemp = Mathematics.vvAdd(Ytemp, change);
x += h;
}
h = timePoints[i] - x;
double change[] = rkTerm(DES, h, x, Ytemp);
Ytemp = Mathematics.vvAdd(Ytemp, change);
if (this.nonnegative) {
for (int k = 0; k < Ytemp.length; k++) {
if (Ytemp[k] < 0) {
Ytemp[k] = 0;
}
}
}
result[i] = Ytemp;
x += h;
}
return result;
}
/**
* @param DES
* @param h
* @param x
* @param Ytemp
* @return
*/
public double[] rkTerm(DESystem DES, double h, double x, double[] Ytemp) {
double[][] K = new double[4][];
K[0] = Mathematics.svMult(h, DES.getValue(x, Ytemp));
K[1] = Mathematics.svMult(h, DES.getValue(x + h / 2, Mathematics.vvAdd(Ytemp, Mathematics.svMult(0.5, K[0]))));
K[2] = Mathematics.svMult(h, DES.getValue(x + h / 2, Mathematics.vvAdd(Ytemp, Mathematics.svMult(0.5, K[1]))));
K[3] = Mathematics.svMult(h, DES.getValue(x + h, Mathematics.vvAdd(Ytemp, K[2])));
double[] change = Mathematics.svDiv(6, Mathematics.vvAdd(K[0], Mathematics.vvAdd(Mathematics.svMult(2, K[1]), Mathematics.vvAdd(Mathematics.svMult(
2, K[2]), K[3]))));
for (int k = 0; k < change.length; k++) {
if (Double.isNaN(change[k])) {
unstableFlag = true;
change[k] = 0;
// return result;
}
}
return change;
}
/**
* Linearized code for speed-up (no allocations).
*
* @param DES
* @param h
* @param x
* @param Ytemp
* @return
*/
public void rkTerm2(DESystem DES, double h, double x, double[] Ytemp,
double[] res) {
if (kVals == null) { // "static" vectors which are allocated only once
k0tmp = new double[DES.getDESystemDimension()];
k1tmp = new double[DES.getDESystemDimension()];
k2tmp = new double[DES.getDESystemDimension()];
kVals = new double[4][DES.getDESystemDimension()];
}
// double[][] K = new double[4][];
DES.getValue(x, Ytemp, kVals[0]);
Mathematics.svMult(h, kVals[0], kVals[0]);
// K[0] = svMult(h, DES.getValue(x, Ytemp));
Mathematics.svMult(0.5, kVals[0], k0tmp);
Mathematics.vvAdd(Ytemp, k0tmp, k0tmp);
DES.getValue(x + h / 2, k0tmp, kVals[1]);
Mathematics.svMult(h, kVals[1], kVals[1]);
// K[1] = svMult(h, DES.getValue(x + h / 2, vvAdd(Ytemp, svMult(0.5, K[0]))));
Mathematics.svMult(0.5, kVals[1], k1tmp);
Mathematics.vvAdd(Ytemp, k1tmp, k1tmp);
DES.getValue(x + h / 2, k1tmp, kVals[2]);
Mathematics.svMult(h, kVals[2], kVals[2]);
// K[2] = svMult(h, DES.getValue(x + h / 2, vvAdd(Ytemp, svMult(0.5, K[1]))));
Mathematics.vvAdd(Ytemp, kVals[2], k2tmp);
DES.getValue(x + h, k2tmp, k1tmp);
Mathematics.svMult(h, k1tmp, kVals[3]);
// K[3] = svMult(h, DES.getValue(x + h, vvAdd(Ytemp, K[2])));
Mathematics.svMult(2, kVals[2], k0tmp);
Mathematics.vvAdd(k0tmp, kVals[3], k0tmp);
Mathematics.svMult(2, kVals[1], k1tmp);
Mathematics.vvAdd(k1tmp, k0tmp, k2tmp);
Mathematics.vvAdd(kVals[0], k2tmp, k1tmp);
Mathematics.svDiv(6, k1tmp, res);
// double[] change = svDiv(6, vvAdd(K[0], vvAdd(svMult(2, K[1]), vvAdd(svMult(2, K[2]), K[3]))));
// for (int i=0; i<res.length; i++) {
// double diff = Math.abs(res[i]-change[i]);
// if (diff > 0.00000001) System.out.println("!!! ");
// }
// double[] change = svdiv(6, vvadd(kVals[0], vvadd(svmult(2, kVals[1]),
// vvadd(svmult(2, kVals[2]), kVals[3]))));
for (int k = 0; k < res.length; k++) {
if (Double.isNaN(res[k])) {
unstableFlag = true;
res[k] = 0;
// return result;
}
}
}
public static void main(String args[]) {
new RKSolver(0.01);
}
/**
* @return
*/
public boolean isUnstable() {
return unstableFlag;
}
/**
* @param unstableFlag
*/
public void setUnstableFlag(boolean unstableFlag) {
this.unstableFlag = unstableFlag;
}
/**
* @return
*/
public double getStepSize() {
return stepSize;
}
/**
* @param stepSize
*/
public void setStepSize(double stepSize) {
this.stepSize = stepSize;
}
return result;
}
}

View File

@ -11,8 +11,8 @@ import java.util.Arrays;
import java.util.Locale;
import eva2.gui.BeanInspector;
import eva2.tools.Mathematics;
import eva2.tools.Pair;
import eva2.tools.math.Mathematics;
import eva2.tools.math.Jama.util.Maths;

View File

@ -1,10 +1,10 @@
package eva2.tools;
package eva2.tools.math;
import java.util.Arrays;
import java.util.List;
import eva2.server.go.tools.DoubleArrayComparator;
import eva2.tools.math.RNG;
import eva2.tools.EVAERROR;
import eva2.tools.math.Jama.Matrix;
import eva2.tools.math.interpolation.BasicDataSet;
import eva2.tools.math.interpolation.InterpolationException;

View File

@ -3,7 +3,6 @@ package eva2.tools.math;
import java.util.ArrayList;
import java.util.Random;
import eva2.tools.Mathematics;
/**
*