Java tutorial
/******************************************************************************* * Copyright (c) 2016 German Federal Institute for Risk Assessment (BfR) * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see <http://www.gnu.org/licenses/>. * * Contributors: * Department Biological Safety - BfR *******************************************************************************/ package de.bund.bfr.math; import java.util.ArrayList; import java.util.List; import java.util.Map; import org.apache.commons.math3.analysis.MultivariateMatrixFunction; import org.apache.commons.math3.analysis.UnivariateFunction; import org.apache.commons.math3.ode.FirstOrderDifferentialEquations; import org.apache.commons.math3.ode.FirstOrderIntegrator; import org.sbml.jsbml.ASTNode; import org.sbml.jsbml.text.parser.ParseException; import com.google.common.primitives.Doubles; public class VectorDiffFunction implements ValueAndJacobianFunction { private List<String> formulas; private List<String> dependentVariables; private List<Double> initValues; private List<String> initParameters; private List<String> parameters; private Map<String, List<Double>> variableValues; private String dependentVariable; private List<Double> timeValues; private String timeVariable; private IntegratorFactory integrator; private InterpolationFactory interpolator; private Map<String, UnivariateFunction> variableFunctions; private int dependentIndex; private Parser parser; private List<ASTNode> functions; public VectorDiffFunction(List<String> formulas, List<String> dependentVariables, List<Double> initValues, List<String> initParameters, List<String> parameters, Map<String, List<Double>> variableValues, List<Double> timeValues, String dependentVariable, String timeVariable, IntegratorFactory integrator, InterpolationFactory interpolator) throws ParseException { this.formulas = formulas; this.dependentVariables = dependentVariables; this.initValues = initValues; this.initParameters = initParameters; this.parameters = parameters; this.variableValues = variableValues; this.dependentVariable = dependentVariable; this.timeValues = timeValues; this.timeVariable = timeVariable; this.integrator = integrator; this.interpolator = interpolator; variableFunctions = MathUtils.createInterpolationFunctions(variableValues, timeVariable, interpolator); dependentIndex = dependentVariables.indexOf(dependentVariable); parser = new Parser(); functions = new ArrayList<>(); for (String f : formulas) { functions.add(parser.parse(f)); } } @Override public double[] value(double[] point) throws IllegalArgumentException { for (int i = 0; i < parameters.size(); i++) { if (!initParameters.contains(parameters.get(i))) { parser.setVarValue(parameters.get(i), point[i]); } } double[] values = new double[formulas.size()]; for (int i = 0; i < formulas.size(); i++) { values[i] = initValues.get(i) != null ? initValues.get(i) : point[parameters.indexOf(initParameters.get(i))]; } FirstOrderDifferentialEquations f = MathUtils.createDiffEquations(parser, functions, dependentVariables, timeVariable, variableFunctions); FirstOrderIntegrator integratorInstance = integrator.createIntegrator(); List<Double> result = new ArrayList<>(); result.add(values[dependentIndex]); for (int i = 1; i < timeValues.size(); i++) { integratorInstance.integrate(f, timeValues.get(i - 1), values, timeValues.get(i), values); result.add(values[dependentIndex]); } return Doubles.toArray(result); } @Override public MultivariateMatrixFunction createJacobian() { List<VectorDiffFunction> diffFunctions = new ArrayList<>(); for (int i = 0; i < parameters.size(); i++) { try { diffFunctions.add(new VectorDiffFunction(formulas, dependentVariables, initValues, initParameters, parameters, variableValues, timeValues, dependentVariable, timeVariable, integrator, interpolator)); } catch (ParseException e) { } } return point -> MathUtils.aproxJacobianParallel(diffFunctions, point, timeValues.size()); } }