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Java example source code file (Vector1DTest.java)

This example Java source code file (Vector1DTest.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

decimalformat, dimensionmismatchexception, matharithmeticexception, numberformat, space, test, text, util, vector1d, vector1dtest

The Vector1DTest.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.geometry.euclidean.oned;

import java.text.DecimalFormat;
import java.text.DecimalFormatSymbols;
import java.text.NumberFormat;
import java.util.Locale;

import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathArithmeticException;
import org.apache.commons.math3.geometry.Space;
import org.apache.commons.math3.util.FastMath;
import org.apache.commons.math3.util.Precision;
import org.junit.Assert;
import org.junit.Test;

public class Vector1DTest {
    @Test
    public void testConstructors() throws DimensionMismatchException {
        checkVector(new Vector1D(3, new Vector1D(FastMath.PI / 3)),
                    FastMath.PI);
        checkVector(new Vector1D(2, Vector1D.ONE, -3, new Vector1D(2)),
                    -4);
        checkVector(new Vector1D(2, Vector1D.ONE,
                                 5, new Vector1D(2),
                                 -3, new Vector1D(3)),
                    3);
        checkVector(new Vector1D(2, Vector1D.ONE,
                                 5, new Vector1D(2),
                                 5, new Vector1D(-2),
                                 -3, new Vector1D(-3)),
                    11);
    }

    @Test
    public void testSpace() {
        Space space = new Vector1D(1).getSpace();
        Assert.assertEquals(1, space.getDimension());
    }

    @Test
    public void testZero() {
        Assert.assertEquals(0, new Vector1D(1).getZero().getNorm(), 1.0e-15);
    }

    @Test
    public void testEquals() {
        Vector1D u1 = new Vector1D(1);
        Vector1D u2 = new Vector1D(1);
        Assert.assertTrue(u1.equals(u1));
        Assert.assertTrue(u1.equals(u2));
        Assert.assertFalse(u1.equals(new Vector1D(1 + 10 * Precision.EPSILON)));
        Assert.assertTrue(new Vector1D(Double.NaN).equals(new Vector1D(Double.NaN)));
    }

    @Test
    public void testHash() {
        Assert.assertEquals(new Vector1D(Double.NaN).hashCode(), new Vector1D(Double.NaN).hashCode());
        Vector1D u = new Vector1D(1);
        Vector1D v = new Vector1D(1 + 10 * Precision.EPSILON);
        Assert.assertTrue(u.hashCode() != v.hashCode());
    }

    @Test
    public void testInfinite() {
        Assert.assertTrue(new Vector1D(Double.NEGATIVE_INFINITY).isInfinite());
        Assert.assertTrue(new Vector1D(Double.POSITIVE_INFINITY).isInfinite());
        Assert.assertFalse(new Vector1D(1).isInfinite());
        Assert.assertFalse(new Vector1D(Double.NaN).isInfinite());
    }

    @Test
    public void testNaN() {
        Assert.assertTrue(new Vector1D(Double.NaN).isNaN());
        Assert.assertFalse(new Vector1D(1).isNaN());
        Assert.assertFalse(new Vector1D(Double.NEGATIVE_INFINITY).isNaN());
    }

    @Test
    public void testToString() {
        Assert.assertEquals("{3}", new Vector1D(3).toString());
        NumberFormat format = new DecimalFormat("0.000", new DecimalFormatSymbols(Locale.US));
        Assert.assertEquals("{3.000}", new Vector1D(3).toString(format));
    }

    @Test
    public void testCoordinates() {
        Vector1D v = new Vector1D(1);
        Assert.assertTrue(FastMath.abs(v.getX() - 1) < 1.0e-12);
    }

    @Test
    public void testNorm1() {
        Assert.assertEquals(0.0, Vector1D.ZERO.getNorm1(), 0);
        Assert.assertEquals(6.0, new Vector1D(6).getNorm1(), 0);
    }

    @Test
    public void testNorm() {
        Assert.assertEquals(0.0, Vector1D.ZERO.getNorm(), 0);
        Assert.assertEquals(3.0, new Vector1D(-3).getNorm(), 1.0e-12);
    }

    @Test
    public void testNormSq() {
        Assert.assertEquals(0.0, new Vector1D(0).getNormSq(), 0);
        Assert.assertEquals(9.0, new Vector1D(-3).getNormSq(), 1.0e-12);
    }

    @Test
    public void testNormInf() {
        Assert.assertEquals(0.0, Vector1D.ZERO.getNormInf(), 0);
        Assert.assertEquals(3.0, new Vector1D(-3).getNormInf(), 0);
    }

    @Test
    public void testDistance1() {
        Vector1D v1 = new Vector1D(1);
        Vector1D v2 = new Vector1D(-4);
        Assert.assertEquals(0.0, new Vector1D(-1).distance1(new Vector1D(-1)), 0);
        Assert.assertEquals(5.0, v1.distance1(v2), 1.0e-12);
        Assert.assertEquals(v1.subtract(v2).getNorm1(), v1.distance1(v2), 1.0e-12);
    }

    @Test
    public void testDistance() {
        Vector1D v1 = new Vector1D(1);
        Vector1D v2 = new Vector1D(-4);
        Assert.assertEquals(0.0, Vector1D.distance(new Vector1D(-1), new Vector1D(-1)), 0);
        Assert.assertEquals(5.0, Vector1D.distance(v1, v2), 1.0e-12);
        Assert.assertEquals(v1.subtract(v2).getNorm(), Vector1D.distance(v1, v2), 1.0e-12);
    }

    @Test
    public void testDistanceSq() {
        Vector1D v1 = new Vector1D(1);
        Vector1D v2 = new Vector1D(-4);
        Assert.assertEquals(0.0, Vector1D.distanceSq(new Vector1D(-1), new Vector1D(-1)), 0);
        Assert.assertEquals(25.0, Vector1D.distanceSq(v1, v2), 1.0e-12);
        Assert.assertEquals(Vector1D.distance(v1, v2) * Vector1D.distance(v1, v2),
                            Vector1D.distanceSq(v1, v2), 1.0e-12);
  }

    @Test
    public void testDistanceInf() {
        Vector1D v1 = new Vector1D(1);
        Vector1D v2 = new Vector1D(-4);
        Assert.assertEquals(0.0, Vector1D.distanceInf(new Vector1D(-1), new Vector1D(-1)), 0);
        Assert.assertEquals(5.0, Vector1D.distanceInf(v1, v2), 1.0e-12);
        Assert.assertEquals(v1.subtract(v2).getNormInf(), Vector1D.distanceInf(v1, v2), 1.0e-12);
    }

    @Test
    public void testSubtract() {
        Vector1D v1 = new Vector1D(1);
        Vector1D v2 = new Vector1D(-3);
        v1 = v1.subtract(v2);
        checkVector(v1, 4);

        checkVector(v2.subtract(v1), -7);
        checkVector(v2.subtract(3, v1), -15);
    }

    @Test
    public void testAdd() {
        Vector1D v1 = new Vector1D(1);
        Vector1D v2 = new Vector1D(-3);
        v1 = v1.add(v2);
        checkVector(v1, -2);

        checkVector(v2.add(v1), -5);
        checkVector(v2.add(3, v1), -9);
    }

    @Test
    public void testScalarProduct() {
        Vector1D v = new Vector1D(1);
        v = v.scalarMultiply(3);
        checkVector(v, 3);

        checkVector(v.scalarMultiply(0.5), 1.5);
    }

    @Test
    public void testNormalize() throws MathArithmeticException {
        Assert.assertEquals(1.0, new Vector1D(5).normalize().getNorm(), 1.0e-12);
        try {
            Vector1D.ZERO.normalize();
            Assert.fail("an exception should have been thrown");
        } catch (MathArithmeticException ae) {
            // expected behavior
        }
    }

    @Test
    public void testNegate() {
        checkVector(new Vector1D(0.1).negate(), -0.1);
    }

    private void checkVector(Vector1D v, double x) {
        Assert.assertEquals(x, v.getX(), 1.0e-12);
    }
}

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