Moved Mathematics class into tools.math package.
This commit is contained in:
parent
395ffb044c
commit
004ad51265
@ -20,8 +20,8 @@ import java.io.Serializable;
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import java.util.ArrayList;
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import java.util.Arrays;
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import eva2.tools.Mathematics;
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import eva2.tools.chart2d.*;
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import eva2.tools.math.Mathematics;
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/*==========================================================================*
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* CLASS DECLARATION
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*==========================================================================*/
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@ -15,9 +15,9 @@ package eva2.gui;
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import java.awt.*;
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import eva2.server.go.problems.Interface2DBorderProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.chart2d.*;
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import eva2.tools.diagram.ColorBarCalculator;
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import eva2.tools.math.Mathematics;
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/*==========================================================================*
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@ -6,7 +6,7 @@ import eva2.server.go.operators.mutation.InterfaceMutation;
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import eva2.server.go.operators.mutation.MutateESGlobal;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.EVAERROR;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/** This individual uses a real-valued genotype to code for double values.
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@ -9,9 +9,9 @@ import eva2.gui.BeanInspector;
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import eva2.gui.GenericObjectEditor;
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import eva2.server.go.problems.GPFunctionProblem;
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import eva2.server.go.problems.InterfaceProgramProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.Pair;
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import eva2.tools.ReflectPackage;
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import eva2.tools.math.Mathematics;
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/** 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;
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import eva2.server.go.problems.InterfaceProgramProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* 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;
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import eva2.server.go.problems.InterfaceProgramProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* A simple sum node with a single, possibly vectorial (array), argument.
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@ -5,7 +5,7 @@ import java.io.Serializable;
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import eva2.gui.GenericObjectEditor;
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import eva2.server.go.individuals.AbstractEAIndividual;
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import eva2.tools.EVAERROR;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* 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;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.F1Problem;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -10,7 +10,7 @@ import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.F1Problem;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -10,7 +10,7 @@ import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.F1Problem;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -7,8 +7,8 @@ import eva2.server.go.individuals.AbstractEAIndividual;
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import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.SelectedTag;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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@ -4,7 +4,7 @@ import eva2.server.go.individuals.AbstractEAIndividual;
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import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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import eva2.tools.math.Jama.EigenvalueDecomposition;
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import eva2.tools.math.Jama.Matrix;
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@ -4,7 +4,7 @@ import eva2.server.go.individuals.AbstractEAIndividual;
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import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -4,7 +4,7 @@ import eva2.server.go.individuals.AbstractEAIndividual;
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import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -13,8 +13,8 @@ import eva2.server.go.populations.Population;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.server.go.strategies.EvolutionStrategies;
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import eva2.tools.EVAERROR;
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import eva2.tools.Mathematics;
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import eva2.tools.Pair;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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import eva2.tools.math.Jama.EigenvalueDecomposition;
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import eva2.tools.math.Jama.Matrix;
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@ -4,7 +4,7 @@ import java.io.Serializable;
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import eva2.gui.BeanInspector;
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import eva2.server.go.populations.Population;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* Simple linear adaption of a String property.
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@ -2,7 +2,7 @@ package eva2.server.go.operators.paramcontrol;
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import java.io.Serializable;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* Linearly adapt a specific target String parameter.
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@ -4,7 +4,7 @@ import java.io.Serializable;
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import eva2.server.go.populations.Population;
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import eva2.server.go.strategies.ParticleSwarmOptimization;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* 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;
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import java.io.Serializable;
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import eva2.gui.GenericObjectEditor;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* 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;
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import eva2.server.modules.GOParameters;
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import eva2.server.stat.InterfaceTextListener;
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import eva2.server.stat.StatsParameter;
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import eva2.tools.Mathematics;
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import eva2.tools.Pair;
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import eva2.tools.math.Mathematics;
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/**
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@ -20,8 +20,8 @@ import eva2.server.go.operators.distancemetric.InterfaceDistanceMetric;
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import eva2.server.go.operators.distancemetric.PhenotypeMetric;
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import eva2.server.go.operators.selection.probability.AbstractSelProb;
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import eva2.tools.EVAERROR;
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import eva2.tools.Mathematics;
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import eva2.tools.Pair;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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import eva2.tools.math.Jama.Matrix;
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import eva2.tools.tool.StatisticUtils;
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@ -28,7 +28,7 @@ import eva2.server.go.operators.terminators.EvaluationTerminator;
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import eva2.server.go.operators.terminators.PhenotypeConvergenceTerminator;
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import eva2.server.go.populations.Population;
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import eva2.server.go.strategies.InterfaceOptimizer;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* Created by IntelliJ IDEA.
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@ -1,7 +1,7 @@
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package eva2.server.go.problems;
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import eva2.server.go.individuals.ESIndividualDoubleData;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.Jama.Matrix;
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/**
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@ -27,10 +27,10 @@ import eva2.server.go.problems.Interface2DBorderProblem;
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import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.server.go.problems.TF1Problem;
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import eva2.tools.Mathematics;
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import eva2.tools.chart2d.DPoint;
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import eva2.tools.chart2d.DPointIcon;
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import eva2.tools.chart2d.DPointSet;
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import eva2.tools.math.Mathematics;
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/** The infamous clustering based niching EA, still under construction.
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* 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;
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import eva2.server.go.problems.F1Problem;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.EVAERROR;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -8,8 +8,8 @@ import eva2.server.go.individuals.InterfaceESIndividual;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.AbstractOptimizationProblem;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.SelectedTag;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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/**
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@ -13,7 +13,7 @@ import eva2.server.go.populations.SolutionSet;
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import eva2.server.go.problems.AbstractOptimizationProblem;
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import eva2.server.go.problems.AbstractProblemDouble;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/**
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* 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;
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import eva2.server.go.problems.InterfaceOptimizationProblem;
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import eva2.server.go.problems.InterfaceProblemDouble;
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import eva2.tools.EVAERROR;
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import eva2.tools.Mathematics;
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import eva2.tools.SelectedTag;
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import eva2.tools.chart2d.DPoint;
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import eva2.tools.chart2d.DPointSet;
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import eva2.tools.math.Mathematics;
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import eva2.tools.math.RNG;
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import eva2.tools.math.Jama.Matrix;
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@ -18,8 +18,8 @@ import eva2.server.go.populations.InterfaceSolutionSet;
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import eva2.server.go.populations.Population;
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import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
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import eva2.server.go.strategies.InterfaceOptimizer;
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import eva2.tools.Mathematics;
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import eva2.tools.Pair;
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import eva2.tools.math.Mathematics;
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/**
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* An abstract class handling statistics. Most important stuff happens in startOptPerformed, stopOptPerformed
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@ -23,7 +23,7 @@ import java.util.List;
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import eva2.server.go.PopulationInterface;
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import eva2.server.go.problems.InterfaceAdditionalPopulationInformer;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/*
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@ -19,7 +19,7 @@ package eva2.tools.chart2d;
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import java.awt.Color ;
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import java.awt.Graphics ;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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/*==========================================================================*
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* CLASS DECLARATION
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@ -4,7 +4,7 @@ import java.awt.* ;
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import javax.swing.BorderFactory;
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import javax.swing.border.* ;
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import eva2.tools.Mathematics;
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import eva2.tools.math.Mathematics;
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import java.awt.geom.AffineTransform ;
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import java.text.NumberFormat;
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@ -11,44 +11,53 @@ package eva2.tools.des;
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import java.io.Serializable;
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/**
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*
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*
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* TODO: comment missing
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*
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*
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* @since 2.0
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* @version
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* Copyright (c) ZBiT, University of Tübingen, Germany
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* Compiler: JDK 1.6.0
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* @version Copyright (c) ZBiT, University of Tübingen, Germany Compiler:
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* JDK 1.6.0
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* @date Sep 10, 2007
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*
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*
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*/
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public interface DESSolver extends Serializable {
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/**
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*
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* @return
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*/
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public boolean isUnstable();
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/**
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* put your documentation comment here
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*
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* @param DES
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* @param initalvalue
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* @param x
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* @param h
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* @param steps
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* @return
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*/
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public double[][] solve(DESystem DES, double[] initalvalue, double x,
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double h, int steps);
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/**
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* put your documentation comment here
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*
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* @param DES
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* @param initalvalue
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* @param x
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* @param h
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* @param steps
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* @return
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*/
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public double[][] solve(DESystem DES, double[] initalvalue, double x,
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double h, int steps);
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public double[][] solveAtTimePoints(DESystem DES, double[] initialvalue,
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double[] timepoints);
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public double[][] solveAtTimePointsWithInitialConditions(DESystem DES,
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double[][] initconditions, double[] timepoints);
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public boolean isUnstable();
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/*
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* public double[][] solveatTimepointsSSystem (double[] param, int order,
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* double[] initialvalue, double[] timepoints); public boolean
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* lastDESystemInvalid(); public void plotY(); public double[][]
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* solveatTimepointsSSystemSeparated (double[] param, int order, double[]
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* initialvalue, double[] timepoints, GEdata gedata, int tooptimize);
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*/
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/**
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*
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* @param DES
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* @param initialvalue
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* @param timepoints
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* @return
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*/
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public double[][] solveAtTimePoints(DESystem DES, double[] initialvalue,
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double[] timepoints);
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/**
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*
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* @param DES
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* @param initconditions
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* @param timepoints
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* @return
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*/
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public double[][] solveAtTimePointsWithInitialConditions(DESystem DES,
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double[][] initconditions, double[] timepoints);
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}
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package eva2.tools.des;
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import eva2.tools.Mathematics;
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import java.io.Serializable;
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import eva2.tools.math.Mathematics;
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/**
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* Title: JAVA-EVA Description: Runge-Kutta Method Copyright: Copyright (c) 2002
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* Company: University of Tübingen, Computer Architecture
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*
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*
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* @author Hannes Planatscher
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* @author Andreas Dräger
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* @author Marcel Kronfeld
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* @version 1.0 Status: works, but numerical inaccurate
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*/
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public class RKSolver implements DESSolver, java.io.Serializable {
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double stepSize = 0.01;
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boolean nonnegative = true;
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boolean unstableFlag;
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transient protected double[][] kVals = null;
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transient protected double[] k0tmp, k1tmp, k2tmp;
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private static boolean useLinearCalc = true;
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public class RKSolver implements DESSolver, Serializable {
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/**
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*
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*/
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private static final long serialVersionUID = -3383457963743552159L;
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/**
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*
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*/
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private static boolean useLinearCalc = true;
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/**
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/**
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*
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* @param args
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*/
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public static void main(String args[]) {
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new RKSolver(0.01);
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}
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/**
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*
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*/
|
||||
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;
|
||||
}
|
||||
|
||||
}
|
||||
|
@ -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;
|
||||
|
||||
|
||||
|
@ -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;
|
@ -3,7 +3,6 @@ package eva2.tools.math;
|
||||
import java.util.ArrayList;
|
||||
import java.util.Random;
|
||||
|
||||
import eva2.tools.Mathematics;
|
||||
|
||||
/**
|
||||
*
|
||||
|
Loading…
x
Reference in New Issue
Block a user