home | career | drupal | java | mac | mysql | perl | scala | uml | unix  

Java example source code file (FieldExpandableODETest.java)

This example Java source code file (FieldExpandableODETest.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

dimensionmismatchexception, field, fieldexpandableode, fieldexpandableodetest, fieldodestateandderivative, fieldsecondaryequations, firstorderfielddifferentialequations, linear, mathillegalargumentexception, realfieldelement, test

The FieldExpandableODETest.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 org.apache.commons.math3.Field;
import org.apache.commons.math3.RealFieldElement;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathIllegalArgumentException;
import org.apache.commons.math3.ode.FieldExpandableODE;
import org.apache.commons.math3.ode.FirstOrderFieldDifferentialEquations;
import org.apache.commons.math3.ode.FieldODEStateAndDerivative;
import org.apache.commons.math3.ode.FieldSecondaryEquations;
import org.apache.commons.math3.util.Decimal64Field;
import org.apache.commons.math3.util.MathArrays;
import org.junit.Assert;
import org.junit.Test;

public class FieldExpandableODETest {

    @Test
    public void testOnlyMainEquation() {
        doTestOnlyMainEquation(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestOnlyMainEquation(final Field field) {
        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        Assert.assertEquals(main.getDimension(), equation.getMapper().getTotalDimension());
        Assert.assertEquals(1, equation.getMapper().getNumberOfEquations());
        T t0 = field.getZero().add(10);
        T t  = field.getZero().add(100);
        T[] complete    = MathArrays.buildArray(field, equation.getMapper().getTotalDimension());
        for (int i = 0; i < complete.length; ++i) {
            complete[i] = field.getZero().add(i);
        }
        equation.init(t0, complete, t);
        T[] completeDot = equation.computeDerivatives(t0, complete);
        FieldODEStateAndDerivative<T> state = equation.getMapper().mapStateAndDerivative(t0, complete, completeDot);
        Assert.assertEquals(0, state.getNumberOfSecondaryStates());
        T[] mainState    = state.getState();
        T[] mainStateDot = state.getDerivative();
        Assert.assertEquals(main.getDimension(), mainState.length);
        for (int i = 0; i < main.getDimension(); ++i) {
            Assert.assertEquals(i, mainState[i].getReal(),   1.0e-15);
            Assert.assertEquals(i, mainStateDot[i].getReal(), 1.0e-15);
            Assert.assertEquals(i, completeDot[i].getReal(),  1.0e-15);
        }
    }

    @Test
    public void testMainAndSecondary() {
        doTestMainAndSecondary(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestMainAndSecondary(final Field field) {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        FieldSecondaryEquations<T> secondary1 = new Linear(field, 3, main.getDimension());
        int i1 = equation.addSecondaryEquations(secondary1);
        FieldSecondaryEquations<T> secondary2 = new Linear(field, 5, main.getDimension() + secondary1.getDimension());
        int i2 = equation.addSecondaryEquations(secondary2);
        Assert.assertEquals(main.getDimension() + secondary1.getDimension() + secondary2.getDimension(),
                            equation.getMapper().getTotalDimension());
        Assert.assertEquals(3, equation.getMapper().getNumberOfEquations());
        Assert.assertEquals(1, i1);
        Assert.assertEquals(2, i2);

        T t0 = field.getZero().add(10);
        T t  = field.getZero().add(100);
        T[] complete    = MathArrays.buildArray(field, equation.getMapper().getTotalDimension());
        for (int i = 0; i < complete.length; ++i) {
            complete[i] = field.getZero().add(i);
        }
        equation.init(t0, complete, t);
        T[] completeDot = equation.computeDerivatives(t0, complete);

        T[] mainState    = equation.getMapper().extractEquationData(0,  complete);
        T[] mainStateDot = equation.getMapper().extractEquationData(0,  completeDot);
        Assert.assertEquals(main.getDimension(), mainState.length);
        for (int i = 0; i < main.getDimension(); ++i) {
            Assert.assertEquals(i, mainState[i].getReal(),   1.0e-15);
            Assert.assertEquals(i, mainStateDot[i].getReal(), 1.0e-15);
            Assert.assertEquals(i, completeDot[i].getReal(),  1.0e-15);
        }

        T[] secondaryState1    = equation.getMapper().extractEquationData(i1,  complete);
        T[] secondaryState1Dot = equation.getMapper().extractEquationData(i1,  completeDot);
        Assert.assertEquals(secondary1.getDimension(), secondaryState1.length);
        for (int i = 0; i < secondary1.getDimension(); ++i) {
            Assert.assertEquals(i + main.getDimension(), secondaryState1[i].getReal(),   1.0e-15);
            Assert.assertEquals(-i, secondaryState1Dot[i].getReal(), 1.0e-15);
            Assert.assertEquals(-i, completeDot[i + main.getDimension()].getReal(),  1.0e-15);
        }

        T[] secondaryState2    = equation.getMapper().extractEquationData(i2,  complete);
        T[] secondaryState2Dot = equation.getMapper().extractEquationData(i2,  completeDot);
        Assert.assertEquals(secondary2.getDimension(), secondaryState2.length);
        for (int i = 0; i < secondary2.getDimension(); ++i) {
            Assert.assertEquals(i + main.getDimension() + secondary1.getDimension(), secondaryState2[i].getReal(),   1.0e-15);
            Assert.assertEquals(-i, secondaryState2Dot[i].getReal(), 1.0e-15);
            Assert.assertEquals(-i, completeDot[i + main.getDimension() + secondary1.getDimension()].getReal(),  1.0e-15);
        }

    }

    @Test
    public void testMap() {
        doTestMap(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestMap(final Field field) {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        FieldSecondaryEquations<T> secondary1 = new Linear(field, 3, main.getDimension());
        int i1 = equation.addSecondaryEquations(secondary1);
        FieldSecondaryEquations<T> secondary2 = new Linear(field, 5, main.getDimension() + secondary1.getDimension());
        int i2 = equation.addSecondaryEquations(secondary2);
        Assert.assertEquals(main.getDimension() + secondary1.getDimension() + secondary2.getDimension(),
                            equation.getMapper().getTotalDimension());
        Assert.assertEquals(3, equation.getMapper().getNumberOfEquations());
        Assert.assertEquals(1, i1);
        Assert.assertEquals(2, i2);

        T t0 = field.getZero().add(10);
        T t  = field.getZero().add(100);
        T[] complete    = MathArrays.buildArray(field, equation.getMapper().getTotalDimension());
        for (int i = 0; i < complete.length; ++i) {
            complete[i] = field.getZero().add(i);
        }
        equation.init(t0, complete, t);
        T[] completeDot = equation.computeDerivatives(t0, complete);

        try {
            equation.getMapper().mapStateAndDerivative(t0, MathArrays.buildArray(field, complete.length + 1), completeDot);
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException dme) {
            // expected
        }
        try {
            equation.getMapper().mapStateAndDerivative(t0, complete, MathArrays.buildArray(field, completeDot.length + 1));
            Assert.fail("an exception should have been thrown");
        } catch (DimensionMismatchException dme) {
            // expected
        }
        FieldODEStateAndDerivative<T> state = equation.getMapper().mapStateAndDerivative(t0, complete, completeDot);
        Assert.assertEquals(2, state.getNumberOfSecondaryStates());
        Assert.assertEquals(main.getDimension(),       state.getSecondaryStateDimension(0));
        Assert.assertEquals(secondary1.getDimension(), state.getSecondaryStateDimension(i1));
        Assert.assertEquals(secondary2.getDimension(), state.getSecondaryStateDimension(i2));

        T[] mainState             = state.getState();
        T[] mainStateDot          = state.getDerivative();
        T[] mainStateAlternate    = state.getSecondaryState(0);
        T[] mainStateDotAlternate = state.getSecondaryDerivative(0);
        Assert.assertEquals(main.getDimension(), mainState.length);
        for (int i = 0; i < main.getDimension(); ++i) {
            Assert.assertEquals(i, mainState[i].getReal(),             1.0e-15);
            Assert.assertEquals(i, mainStateDot[i].getReal(),          1.0e-15);
            Assert.assertEquals(i, mainStateAlternate[i].getReal(),    1.0e-15);
            Assert.assertEquals(i, mainStateDotAlternate[i].getReal(), 1.0e-15);
            Assert.assertEquals(i, completeDot[i].getReal(),           1.0e-15);
        }

        T[] secondaryState1    = state.getSecondaryState(i1);
        T[] secondaryState1Dot = state.getSecondaryDerivative(i1);
        Assert.assertEquals(secondary1.getDimension(), secondaryState1.length);
        for (int i = 0; i < secondary1.getDimension(); ++i) {
            Assert.assertEquals(i + main.getDimension(), secondaryState1[i].getReal(),   1.0e-15);
            Assert.assertEquals(-i, secondaryState1Dot[i].getReal(), 1.0e-15);
            Assert.assertEquals(-i, completeDot[i + main.getDimension()].getReal(),  1.0e-15);
        }

        T[] secondaryState2    = state.getSecondaryState(i2);
        T[] secondaryState2Dot = state.getSecondaryDerivative(i2);
        Assert.assertEquals(secondary2.getDimension(), secondaryState2.length);
        for (int i = 0; i < secondary2.getDimension(); ++i) {
            Assert.assertEquals(i + main.getDimension() + secondary1.getDimension(), secondaryState2[i].getReal(),   1.0e-15);
            Assert.assertEquals(-i, secondaryState2Dot[i].getReal(), 1.0e-15);
            Assert.assertEquals(-i, completeDot[i + main.getDimension() + secondary1.getDimension()].getReal(),  1.0e-15);
        }

        T[] remappedState = equation.getMapper().mapState(state);
        T[] remappedDerivative = equation.getMapper().mapDerivative(state);
        Assert.assertEquals(equation.getMapper().getTotalDimension(), remappedState.length);
        Assert.assertEquals(equation.getMapper().getTotalDimension(), remappedDerivative.length);
        for (int i = 0; i < remappedState.length; ++i) {
            Assert.assertEquals(complete[i].getReal(),    remappedState[i].getReal(),      1.0e-15);
            Assert.assertEquals(completeDot[i].getReal(), remappedDerivative[i].getReal(), 1.0e-15);
        }
    }

    @Test(expected=DimensionMismatchException.class)
    public void testExtractDimensionMismatch() {
        doTestExtractDimensionMismatch(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestExtractDimensionMismatch(final Field field)
        throws DimensionMismatchException {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        FieldSecondaryEquations<T> secondary1 = new Linear(field, 3, main.getDimension());
        int i1 = equation.addSecondaryEquations(secondary1);
        T[] tooShort    = MathArrays.buildArray(field, main.getDimension());
        equation.getMapper().extractEquationData(i1, tooShort);
    }

    @Test(expected=DimensionMismatchException.class)
    public void testInsertTooShortComplete() {
        doTestInsertTooShortComplete(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestInsertTooShortComplete(final Field field)
        throws DimensionMismatchException {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        FieldSecondaryEquations<T> secondary1 = new Linear(field, 3, main.getDimension());
        int i1 = equation.addSecondaryEquations(secondary1);
        T[] equationData = MathArrays.buildArray(field, secondary1.getDimension());
        T[] tooShort     = MathArrays.buildArray(field, main.getDimension());
        equation.getMapper().insertEquationData(i1, equationData, tooShort);
    }

    @Test(expected=DimensionMismatchException.class)
    public void testInsertWrongEquationData() {
        doTestInsertWrongEquationData(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestInsertWrongEquationData(final Field field)
        throws DimensionMismatchException {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        FieldSecondaryEquations<T> secondary1 = new Linear(field, 3, main.getDimension());
        int i1 = equation.addSecondaryEquations(secondary1);
        T[] wrongEquationData = MathArrays.buildArray(field, secondary1.getDimension() + 1);
        T[] complete          = MathArrays.buildArray(field, equation.getMapper().getTotalDimension());
        equation.getMapper().insertEquationData(i1, wrongEquationData, complete);
    }

    @Test(expected=MathIllegalArgumentException.class)
    public void testNegativeIndex() {
        doTestNegativeIndex(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestNegativeIndex(final Field field)
        throws MathIllegalArgumentException {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        T[] complete = MathArrays.buildArray(field, equation.getMapper().getTotalDimension());
        equation.getMapper().extractEquationData(-1, complete);
    }

    @Test(expected=MathIllegalArgumentException.class)
    public void testTooLargeIndex() {
        doTestTooLargeIndex(Decimal64Field.getInstance());
    }

    private <T extends RealFieldElement void doTestTooLargeIndex(final Field field)
        throws MathIllegalArgumentException {

        FirstOrderFieldDifferentialEquations<T> main = new Linear(field, 3, 0);
        FieldExpandableODE<T> equation = new FieldExpandableODE(main);
        T[] complete = MathArrays.buildArray(field, equation.getMapper().getTotalDimension());
        equation.getMapper().extractEquationData(+1, complete);
    }

    private static class  Linear<T extends RealFieldElement
        implements  FirstOrderFieldDifferentialEquations<T>, FieldSecondaryEquations {

        private final Field<T> field;
        private final int dimension;
        private final int start;

        private Linear(final Field<T> field, final int dimension, final int start) {
            this.field     = field;
            this.dimension = dimension;
            this.start     = start;
        }

        public int getDimension() {
            return dimension;
        }

        public void init(final T t0, final T[] y0, final T finalTime) {
            Assert.assertEquals(dimension, y0.length);
            Assert.assertEquals(10.0,  t0.getReal(), 1.0e-15);
            Assert.assertEquals(100.0, finalTime.getReal(), 1.0e-15);
            for (int i = 0; i < y0.length; ++i) {
                Assert.assertEquals(i, y0[i].getReal(), 1.0e-15);
            }
        }

        public T[] computeDerivatives(final T t, final T[] y) {
            final T[] yDot = MathArrays.buildArray(field, dimension);
            for (int i = 0; i < dimension; ++i) {
                yDot[i] = field.getZero().add(i);
            }
            return yDot;
        }

        public void init(final T t0, final T[] primary0, final T[] secondary0, final T finalTime) {
            Assert.assertEquals(dimension, secondary0.length);
            Assert.assertEquals(10.0,  t0.getReal(), 1.0e-15);
            Assert.assertEquals(100.0, finalTime.getReal(), 1.0e-15);
            for (int i = 0; i < primary0.length; ++i) {
                Assert.assertEquals(i, primary0[i].getReal(), 1.0e-15);
            }
            for (int i = 0; i < secondary0.length; ++i) {
                Assert.assertEquals(start + i, secondary0[i].getReal(), 1.0e-15);
            }
        }

        public T[] computeDerivatives(final T t, final T[] primary, final T[] primaryDot, final T[] secondary) {
            final T[] secondaryDot = MathArrays.buildArray(field, dimension);
            for (int i = 0; i < dimension; ++i) {
                secondaryDot[i] = field.getZero().subtract(i);
            }
            return secondaryDot;
        }

    }

}

Other Java examples (source code examples)

Here is a short list of links related to this Java FieldExpandableODETest.java source code file:



my book on functional programming

 

new blog posts

 

Copyright 1998-2019 Alvin Alexander, alvinalexander.com
All Rights Reserved.

A percentage of advertising revenue from
pages under the /java/jwarehouse URI on this website is
paid back to open source projects.