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Java example source code file (FirstOrderFieldIntegrator.java)

This example Java source code file (FirstOrderFieldIntegrator.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

bracketedrealfieldunivariatesolver, collection, fieldodestateandderivative, firstorderfieldintegrator, maxcountexceededexception, nobracketingexception, numberistoosmallexception, realfieldelement, string, util

The FirstOrderFieldIntegrator.java Java example source code

/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.apache.commons.math3.ode;

import java.util.Collection;

import org.apache.commons.math3.RealFieldElement;
import org.apache.commons.math3.analysis.solvers.BracketedRealFieldUnivariateSolver;
import org.apache.commons.math3.exception.MaxCountExceededException;
import org.apache.commons.math3.exception.NoBracketingException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;
import org.apache.commons.math3.ode.events.FieldEventHandler;
import org.apache.commons.math3.ode.sampling.FieldStepHandler;

/** This interface represents a first order integrator for
 * differential equations.

 * <p>The classes which are devoted to solve first order differential
 * equations should implement this interface. The problems which can
 * be handled should implement the {@link
 * FirstOrderDifferentialEquations} interface.</p>
 *
 * @see FirstOrderFieldDifferentialEquations
 * @param <T> the type of the field elements
 * @since 3.6
 */

public interface FirstOrderFieldIntegrator<T extends RealFieldElement {

    /** Get the name of the method.
     * @return name of the method
     */
    String getName();

    /** Add a step handler to this integrator.
     * <p>The handler will be called by the integrator for each accepted
     * step.</p>
     * @param handler handler for the accepted steps
     * @see #getStepHandlers()
     * @see #clearStepHandlers()
     */
    void addStepHandler(FieldStepHandler<T> handler);

    /** Get all the step handlers that have been added to the integrator.
     * @return an unmodifiable collection of the added events handlers
     * @see #addStepHandler(FieldStepHandler)
     * @see #clearStepHandlers()
     */
    Collection<FieldStepHandler getStepHandlers();

    /** Remove all the step handlers that have been added to the integrator.
     * @see #addStepHandler(FieldStepHandler)
     * @see #getStepHandlers()
     */
    void clearStepHandlers();

    /** Add an event handler to the integrator.
     * <p>
     * The default solver is a 5<sup>th order {@link
     * org.apache.commons.math3.analysis.solvers.FieldBracketingNthOrderBrentSolver}.
     * </p>
     * @param handler event handler
     * @param maxCheckInterval maximal time interval between switching
     * function checks (this interval prevents missing sign changes in
     * case the integration steps becomes very large)
     * @param convergence convergence threshold in the event time search
     * @param maxIterationCount upper limit of the iteration count in
     * the event time search events.
     * @see #addEventHandler(FieldEventHandler, double, double, int,
     * org.apache.commons.math3.analysis.solvers.BracketedRealFieldUnivariateSolver)
     * @see #getEventHandlers()
     * @see #clearEventHandlers()
     */
    void addEventHandler(FieldEventHandler<T>  handler, double maxCheckInterval,
                         double convergence, int maxIterationCount);

    /** Add an event handler to the integrator.
     * @param handler event handler
     * @param maxCheckInterval maximal time interval between switching
     * function checks (this interval prevents missing sign changes in
     * case the integration steps becomes very large)
     * @param convergence convergence threshold in the event time search
     * @param maxIterationCount upper limit of the iteration count in
     * the event time search events.
     * @param solver solver to use to locate the event
     * @see #addEventHandler(FieldEventHandler, double, double, int)
     * @see #getEventHandlers()
     * @see #clearEventHandlers()
     */
    void addEventHandler(FieldEventHandler<T>  handler, double maxCheckInterval,
                         double convergence, int maxIterationCount,
                         BracketedRealFieldUnivariateSolver<T> solver);

    /** Get all the event handlers that have been added to the integrator.
     * @return an unmodifiable collection of the added events handlers
     * @see #addEventHandler(FieldEventHandler, double, double, int)
     * @see #clearEventHandlers()
     */
    Collection<FieldEventHandler getEventHandlers();

    /** Remove all the event handlers that have been added to the integrator.
     * @see #addEventHandler(FieldEventHandler, double, double, int)
     * @see #getEventHandlers()
     */
    void clearEventHandlers();

    /** Get the current value of the step start time t<sub>i.
     * <p>This method can be called during integration (typically by
     * the object implementing the {@link FirstOrderDifferentialEquations
     * differential equations} problem) if the value of the current step that
     * is attempted is needed.</p>
     * <p>The result is undefined if the method is called outside of
     * calls to <code>integrate.

* @return current value of the state at step start time t<sub>i */ FieldODEStateAndDerivative<T> getCurrentStepStart(); /** Get the current signed value of the integration stepsize. * <p>This method can be called during integration (typically by * the object implementing the {@link FirstOrderDifferentialEquations * differential equations} problem) if the signed value of the current stepsize * that is tried is needed.</p> * <p>The result is undefined if the method is called outside of * calls to <code>integrate.

* @return current signed value of the stepsize */ T getCurrentSignedStepsize(); /** Set the maximal number of differential equations function evaluations. * <p>The purpose of this method is to avoid infinite loops which can occur * for example when stringent error constraints are set or when lots of * discrete events are triggered, thus leading to many rejected steps.</p> * @param maxEvaluations maximal number of function evaluations (negative * values are silently converted to maximal integer value, thus representing * almost unlimited evaluations) */ void setMaxEvaluations(int maxEvaluations); /** Get the maximal number of functions evaluations. * @return maximal number of functions evaluations */ int getMaxEvaluations(); /** Get the number of evaluations of the differential equations function. * <p> * The number of evaluations corresponds to the last call to the * <code>integrate method. It is 0 if the method has not been called yet. * </p> * @return number of evaluations of the differential equations function */ int getEvaluations(); /** Integrate the differential equations up to the given time. * <p>This method solves an Initial Value Problem (IVP).

* <p>Since this method stores some internal state variables made * available in its public interface during integration ({@link * #getCurrentSignedStepsize()}), it is <em>not thread-safe.

* @param equations differential equations to integrate * @param initialState initial state (time, primary and secondary state vectors) * @param finalTime target time for the integration * (can be set to a value smaller than {@code t0} for backward integration) * @return final state, its time will be the same as {@code finalTime} if * integration reached its target, but may be different if some {@link * org.apache.commons.math3.ode.events.FieldEventHandler} stops it at some point. * @exception NumberIsTooSmallException if integration step is too small * @exception MaxCountExceededException if the number of functions evaluations is exceeded * @exception NoBracketingException if the location of an event cannot be bracketed */ FieldODEStateAndDerivative<T> integrate(FieldExpandableODE equations, FieldODEState<T> initialState, T finalTime) throws NumberIsTooSmallException, MaxCountExceededException, NoBracketingException; }

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