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

Java example source code file (DiagonalMatrixTest.java)

This example Java source code file (DiagonalMatrixTest.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

array2drowrealmatrix, diagonalmatrix, diagonalmatrixtest, realmatrix, realvector, test

The DiagonalMatrixTest.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.linear;

import org.apache.commons.math3.TestUtils;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.NullArgumentException;
import org.apache.commons.math3.exception.NumberIsTooLargeException;
import org.apache.commons.math3.exception.OutOfRangeException;
import org.apache.commons.math3.util.Precision;
import org.junit.Assert;
import org.junit.Test;

/**
 * Test cases for the {@link DiagonalMatrix} class.
 */
public class DiagonalMatrixTest {
    @Test
    public void testConstructor1() {
        final int dim = 3;
        final DiagonalMatrix m = new DiagonalMatrix(dim);
        Assert.assertEquals(dim, m.getRowDimension());
        Assert.assertEquals(dim, m.getColumnDimension());
    }

    @Test
    public void testConstructor2() {
        final double[] d = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(d);
        for (int i = 0; i < m.getRowDimension(); i++) {
            for (int j = 0; j < m.getRowDimension(); j++) {
                if (i == j) {
                    Assert.assertEquals(d[i], m.getEntry(i, j), 0d);
                } else {
                    Assert.assertEquals(0d, m.getEntry(i, j), 0d);
                }
            }
        }

        // Check that the underlying was copied.
        d[0] = 0;
        Assert.assertFalse(d[0] == m.getEntry(0, 0));
    }

    @Test
    public void testConstructor3() {
        final double[] d = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(d, false);
        for (int i = 0; i < m.getRowDimension(); i++) {
            for (int j = 0; j < m.getRowDimension(); j++) {
                if (i == j) {
                    Assert.assertEquals(d[i], m.getEntry(i, j), 0d);
                } else {
                    Assert.assertEquals(0d, m.getEntry(i, j), 0d);
                }
            }
        }

        // Check that the underlying is referenced.
        d[0] = 0;
        Assert.assertTrue(d[0] == m.getEntry(0, 0));

    }

    @Test(expected=DimensionMismatchException.class)
    public void testCreateError() {
        final double[] d = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(d, false);
        m.createMatrix(5, 3);
    }

    @Test
    public void testCreate() {
        final double[] d = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(d, false);
        final RealMatrix p = m.createMatrix(5, 5);
        Assert.assertTrue(p instanceof DiagonalMatrix);
        Assert.assertEquals(5, p.getRowDimension());
        Assert.assertEquals(5, p.getColumnDimension());
    }

    @Test
    public void testCopy() {
        final double[] d = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(d, false);
        final DiagonalMatrix p = (DiagonalMatrix) m.copy();
        for (int i = 0; i < m.getRowDimension(); ++i) {
            Assert.assertEquals(m.getEntry(i, i), p.getEntry(i, i), 1.0e-20);
        }
    }

    @Test
    public void testGetData() {
        final double[] data = { -1.2, 3.4, 5 };
        final int dim = 3;
        final DiagonalMatrix m = new DiagonalMatrix(dim);
        for (int i = 0; i < dim; i++) {
            m.setEntry(i, i, data[i]);
        }

        final double[][] out = m.getData();
        Assert.assertEquals(dim, out.length);
        for (int i = 0; i < m.getRowDimension(); i++) {
            Assert.assertEquals(dim, out[i].length);
            for (int j = 0; j < m.getRowDimension(); j++) {
                if (i == j) {
                    Assert.assertEquals(data[i], out[i][j], 0d);
                } else {
                    Assert.assertEquals(0d, out[i][j], 0d);
                }
            }
        }
    }

    @Test
    public void testAdd() {
        final double[] data1 = { -1.2, 3.4, 5 };
        final DiagonalMatrix m1 = new DiagonalMatrix(data1);

        final double[] data2 = { 10.1, 2.3, 45 };
        final DiagonalMatrix m2 = new DiagonalMatrix(data2);

        final DiagonalMatrix result = m1.add(m2);
        Assert.assertEquals(m1.getRowDimension(), result.getRowDimension());
        for (int i = 0; i < result.getRowDimension(); i++) {
            for (int j = 0; j < result.getRowDimension(); j++) {
                if (i == j) {
                    Assert.assertEquals(data1[i] + data2[i], result.getEntry(i, j), 0d);
                } else {
                    Assert.assertEquals(0d, result.getEntry(i, j), 0d);
                }
            }
        }
    }

    @Test
    public void testSubtract() {
        final double[] data1 = { -1.2, 3.4, 5 };
        final DiagonalMatrix m1 = new DiagonalMatrix(data1);

        final double[] data2 = { 10.1, 2.3, 45 };
        final DiagonalMatrix m2 = new DiagonalMatrix(data2);

        final DiagonalMatrix result = m1.subtract(m2);
        Assert.assertEquals(m1.getRowDimension(), result.getRowDimension());
        for (int i = 0; i < result.getRowDimension(); i++) {
            for (int j = 0; j < result.getRowDimension(); j++) {
                if (i == j) {
                    Assert.assertEquals(data1[i] - data2[i], result.getEntry(i, j), 0d);
                } else {
                    Assert.assertEquals(0d, result.getEntry(i, j), 0d);
                }
            }
        }
    }

    @Test
    public void testAddToEntry() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(data);

        for (int i = 0; i < m.getRowDimension(); i++) {
            m.addToEntry(i, i, i);
            Assert.assertEquals(data[i] + i, m.getEntry(i, i), 0d);
        }
    }

    @Test
    public void testMultiplyEntry() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix m = new DiagonalMatrix(data);

        for (int i = 0; i < m.getRowDimension(); i++) {
            m.multiplyEntry(i, i, i);
            Assert.assertEquals(data[i] * i, m.getEntry(i, i), 0d);
        }
    }

    @Test
    public void testMultiply1() {
        final double[] data1 = { -1.2, 3.4, 5 };
        final DiagonalMatrix m1 = new DiagonalMatrix(data1);
        final double[] data2 = { 10.1, 2.3, 45 };
        final DiagonalMatrix m2 = new DiagonalMatrix(data2);

        final DiagonalMatrix result = (DiagonalMatrix) m1.multiply((RealMatrix) m2);
        Assert.assertEquals(m1.getRowDimension(), result.getRowDimension());
        for (int i = 0; i < result.getRowDimension(); i++) {
            for (int j = 0; j < result.getRowDimension(); j++) {
                if (i == j) {
                    Assert.assertEquals(data1[i] * data2[i], result.getEntry(i, j), 0d);
                } else {
                    Assert.assertEquals(0d, result.getEntry(i, j), 0d);
                }
            }
        }
    }

    @Test
    public void testMultiply2() {
        final double[] data1 = { -1.2, 3.4, 5 };
        final DiagonalMatrix diag1 = new DiagonalMatrix(data1);

        final double[][] data2 = { { -1.2, 3.4 },
                                   { -5.6, 7.8 },
                                   {  9.1, 2.3 } };
        final RealMatrix dense2 = new Array2DRowRealMatrix(data2);
        final RealMatrix dense1 = new Array2DRowRealMatrix(diag1.getData());

        final RealMatrix diagResult = diag1.multiply(dense2);
        final RealMatrix denseResult = dense1.multiply(dense2);

        for (int i = 0; i < dense1.getRowDimension(); i++) {
            for (int j = 0; j < dense2.getColumnDimension(); j++) {
                Assert.assertEquals(denseResult.getEntry(i, j),
                                    diagResult.getEntry(i, j), 0d);
            }
        }
    }

    @Test
    public void testOperate() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        final RealMatrix dense = new Array2DRowRealMatrix(diag.getData());

        final double[] v = { 6.7, 890.1, 23.4 };
        final double[] diagResult = diag.operate(v);
        final double[] denseResult = dense.operate(v);

        TestUtils.assertEquals(diagResult, denseResult, 0d);
    }

    @Test
    public void testPreMultiply() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        final RealMatrix dense = new Array2DRowRealMatrix(diag.getData());

        final double[] v = { 6.7, 890.1, 23.4 };
        final double[] diagResult = diag.preMultiply(v);
        final double[] denseResult = dense.preMultiply(v);

        TestUtils.assertEquals(diagResult, denseResult, 0d);
    }

    @Test
    public void testPreMultiplyVector() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        final RealMatrix dense = new Array2DRowRealMatrix(diag.getData());

        final double[] v = { 6.7, 890.1, 23.4 };
        final RealVector vector = MatrixUtils.createRealVector(v);
        final RealVector diagResult = diag.preMultiply(vector);
        final RealVector denseResult = dense.preMultiply(vector);

        TestUtils.assertEquals("preMultiply(Vector) returns wrong result", diagResult, denseResult, 0d);
    }

    @Test(expected=NumberIsTooLargeException.class)
    public void testSetNonDiagonalEntry() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.setEntry(1, 2, 3.4);
    }

    @Test
    public void testSetNonDiagonalZero() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.setEntry(1, 2, 0.0);
        Assert.assertEquals(0.0, diag.getEntry(1, 2), Precision.SAFE_MIN);
    }

    @Test(expected=NumberIsTooLargeException.class)
    public void testAddNonDiagonalEntry() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.addToEntry(1, 2, 3.4);
    }

    @Test
    public void testAddNonDiagonalZero() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.addToEntry(1, 2, 0.0);
        Assert.assertEquals(0.0, diag.getEntry(1, 2), Precision.SAFE_MIN);
    }

    @Test
    public void testMultiplyNonDiagonalEntry() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.multiplyEntry(1, 2, 3.4);
        Assert.assertEquals(0.0, diag.getEntry(1, 2), Precision.SAFE_MIN);
    }

    @Test
    public void testMultiplyNonDiagonalZero() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.multiplyEntry(1, 2, 0.0);
        Assert.assertEquals(0.0, diag.getEntry(1, 2), Precision.SAFE_MIN);
    }

    @Test(expected=OutOfRangeException.class)
    public void testSetEntryOutOfRange() {
        final DiagonalMatrix diag = new DiagonalMatrix(3);
        diag.setEntry(3, 3, 3.4);
    }

    @Test(expected=NullArgumentException.class)
    public void testNull() {
        new DiagonalMatrix(null, false);
    }

    @Test(expected=NumberIsTooLargeException.class)
    public void testSetSubMatrixError() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        diag.setSubMatrix(new double[][] { {1.0, 1.0}, {1.0, 1.0}}, 1, 1);
    }

    @Test
    public void testSetSubMatrix() {
        final double[] data = { -1.2, 3.4, 5 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        diag.setSubMatrix(new double[][] { {0.0, 5.0, 0.0}, {0.0, 0.0, 6.0}}, 1, 0);
        Assert.assertEquals(-1.2, diag.getEntry(0, 0), 1.0e-20);
        Assert.assertEquals( 5.0, diag.getEntry(1, 1), 1.0e-20);
        Assert.assertEquals( 6.0, diag.getEntry(2, 2), 1.0e-20);
    }

    @Test(expected=SingularMatrixException.class)
    public void testInverseError() {
        final double[] data = { 1, 2, 0 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        diag.inverse();
    }

    @Test(expected=SingularMatrixException.class)
    public void testInverseError2() {
        final double[] data = { 1, 2, 1e-6 };
        final DiagonalMatrix diag = new DiagonalMatrix(data);
        diag.inverse(1e-5);
    }

    @Test
    public void testInverse() {
        final double[] data = { 1, 2, 3 };
        final DiagonalMatrix m = new DiagonalMatrix(data);
        final DiagonalMatrix inverse = m.inverse();

        final DiagonalMatrix result = m.multiply(inverse);
        TestUtils.assertEquals("DiagonalMatrix.inverse() returns wrong result",
                MatrixUtils.createRealIdentityMatrix(data.length), result, Math.ulp(1d));
    }

}

Other Java examples (source code examples)

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



my book on functional programming

 

new blog posts

 

Copyright 1998-2021 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.