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Commons Math example source code file (RealMatrixImplTest.java)

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

Java - Commons Math tags/keywords

arrayrealvector, expecting, expecting, getvisitor, illegalargumentexception, invalidmatrixexception, matrixindexexception, matrixindexexception, realmatrix, realmatrix, realmatriximpl, realmatriximpl, realvector, setvisitor

The Commons Math RealMatrixImplTest.java 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.math.linear;

import junit.framework.TestCase;

import org.apache.commons.math.TestUtils;

/**
 * Test cases for the {@link RealMatrixImpl} class.
 *
 * @version $Revision: 902201 $ $Date: 2010-01-22 13:18:16 -0500 (Fri, 22 Jan 2010) $
 */
@Deprecated
public final class RealMatrixImplTest extends TestCase {

    // 3 x 3 identity matrix
    protected double[][] id = { {1d,0d,0d}, {0d,1d,0d}, {0d,0d,1d} };

    // Test data for group operations
    protected double[][] testData = { {1d,2d,3d}, {2d,5d,3d}, {1d,0d,8d} };
    protected double[][] testDataLU = {{2d, 5d, 3d}, {.5d, -2.5d, 6.5d}, {0.5d, 0.2d, .2d}};
    protected double[][] testDataPlus2 = { {3d,4d,5d}, {4d,7d,5d}, {3d,2d,10d} };
    protected double[][] testDataMinus = { {-1d,-2d,-3d}, {-2d,-5d,-3d},
       {-1d,0d,-8d} };
    protected double[] testDataRow1 = {1d,2d,3d};
    protected double[] testDataCol3 = {3d,3d,8d};
    protected double[][] testDataInv =
        { {-40d,16d,9d}, {13d,-5d,-3d}, {5d,-2d,-1d} };
    protected double[] preMultTest = {8,12,33};
    protected double[][] testData2 ={ {1d,2d,3d}, {2d,5d,3d}};
    protected double[][] testData2T = { {1d,2d}, {2d,5d}, {3d,3d}};
    protected double[][] testDataPlusInv =
        { {-39d,18d,12d}, {15d,0d,0d}, {6d,-2d,7d} };

    // lu decomposition tests
    protected double[][] luData = { {2d,3d,3d}, {0d,5d,7d}, {6d,9d,8d} };
    protected double[][] luDataLUDecomposition = { {6d,9d,8d}, {0d,5d,7d},
            {0.33333333333333,0d,0.33333333333333} };

    // singular matrices
    protected double[][] singular = { {2d,3d}, {2d,3d} };
    protected double[][] bigSingular = {{1d,2d,3d,4d}, {2d,5d,3d,4d},
        {7d,3d,256d,1930d}, {3d,7d,6d,8d}}; // 4th row = 1st + 2nd
    protected double[][] detData = { {1d,2d,3d}, {4d,5d,6d}, {7d,8d,10d} };
    protected double[][] detData2 = { {1d, 3d}, {2d, 4d}};

    // vectors
    protected double[] testVector = {1,2,3};
    protected double[] testVector2 = {1,2,3,4};

    // submatrix accessor tests
    protected double[][] subTestData = {{1, 2, 3, 4}, {1.5, 2.5, 3.5, 4.5},
            {2, 4, 6, 8}, {4, 5, 6, 7}};
    // array selections
    protected double[][] subRows02Cols13 = { {2, 4}, {4, 8}};
    protected double[][] subRows03Cols12 = { {2, 3}, {5, 6}};
    protected double[][] subRows03Cols123 = { {2, 3, 4} , {5, 6, 7}};
    // effective permutations
    protected double[][] subRows20Cols123 = { {4, 6, 8} , {2, 3, 4}};
    protected double[][] subRows31Cols31 = {{7, 5}, {4.5, 2.5}};
    // contiguous ranges
    protected double[][] subRows01Cols23 = {{3,4} , {3.5, 4.5}};
    protected double[][] subRows23Cols00 = {{2} , {4}};
    protected double[][] subRows00Cols33 = {{4}};
    // row matrices
    protected double[][] subRow0 = {{1,2,3,4}};
    protected double[][] subRow3 = {{4,5,6,7}};
    // column matrices
    protected double[][] subColumn1 = {{2}, {2.5}, {4}, {5}};
    protected double[][] subColumn3 = {{4}, {4.5}, {8}, {7}};

    // tolerances
    protected double entryTolerance = 10E-16;
    protected double normTolerance = 10E-14;

    public RealMatrixImplTest(String name) {
        super(name);
    }

    /** test dimensions */
    public void testDimensions() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl m2 = new RealMatrixImpl(testData2);
        assertEquals("testData row dimension",3,m.getRowDimension());
        assertEquals("testData column dimension",3,m.getColumnDimension());
        assertTrue("testData is square",m.isSquare());
        assertEquals("testData2 row dimension",m2.getRowDimension(),2);
        assertEquals("testData2 column dimension",m2.getColumnDimension(),3);
        assertTrue("testData2 is not square",!m2.isSquare());
    }

    /** test copy functions */
    public void testCopyFunctions() {
        RealMatrixImpl m1 = new RealMatrixImpl(testData);
        RealMatrixImpl m2 = new RealMatrixImpl(m1.getData());
        assertEquals(m2,m1);
        RealMatrixImpl m3 = new RealMatrixImpl(testData);
        RealMatrixImpl m4 = new RealMatrixImpl(m3.getData(), false);
        assertEquals(m4,m3);
    }

    /** test add */
    public void testAdd() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl mInv = new RealMatrixImpl(testDataInv);
        RealMatrix mPlusMInv = m.add(mInv);
        double[][] sumEntries = mPlusMInv.getData();
        for (int row = 0; row < m.getRowDimension(); row++) {
            for (int col = 0; col < m.getColumnDimension(); col++) {
                assertEquals("sum entry entry",
                    testDataPlusInv[row][col],sumEntries[row][col],
                        entryTolerance);
            }
        }
    }

    /** test add failure */
    public void testAddFail() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl m2 = new RealMatrixImpl(testData2);
        try {
            m.add(m2);
            fail("IllegalArgumentException expected");
        } catch (IllegalArgumentException ex) {
            // ignored
        }
    }

    /** test norm */
    public void testNorm() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl m2 = new RealMatrixImpl(testData2);
        assertEquals("testData norm",14d,m.getNorm(),entryTolerance);
        assertEquals("testData2 norm",7d,m2.getNorm(),entryTolerance);
    }

    /** test Frobenius norm */
    public void testFrobeniusNorm() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl m2 = new RealMatrixImpl(testData2);
        assertEquals("testData Frobenius norm", Math.sqrt(117.0), m.getFrobeniusNorm(), entryTolerance);
        assertEquals("testData2 Frobenius norm", Math.sqrt(52.0), m2.getFrobeniusNorm(), entryTolerance);
    }

     /** test m-n = m + -n */
    public void testPlusMinus() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl m2 = new RealMatrixImpl(testDataInv);
        TestUtils.assertEquals("m-n = m + -n",m.subtract(m2),
            m2.scalarMultiply(-1d).add(m),entryTolerance);
        try {
            m.subtract(new RealMatrixImpl(testData2));
            fail("Expecting illegalArgumentException");
        } catch (IllegalArgumentException ex) {
            // ignored
        }
    }

    /** test multiply */
     public void testMultiply() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl mInv = new RealMatrixImpl(testDataInv);
        RealMatrixImpl identity = new RealMatrixImpl(id);
        RealMatrixImpl m2 = new RealMatrixImpl(testData2);
        TestUtils.assertEquals("inverse multiply",m.multiply(mInv),
            identity,entryTolerance);
        TestUtils.assertEquals("inverse multiply",mInv.multiply(m),
            identity,entryTolerance);
        TestUtils.assertEquals("identity multiply",m.multiply(identity),
            m,entryTolerance);
        TestUtils.assertEquals("identity multiply",identity.multiply(mInv),
            mInv,entryTolerance);
        TestUtils.assertEquals("identity multiply",m2.multiply(identity),
            m2,entryTolerance);
        try {
            m.multiply(new RealMatrixImpl(bigSingular));
            fail("Expecting illegalArgumentException");
        } catch (IllegalArgumentException ex) {
            // ignored
        }
    }

    //Additional Test for RealMatrixImplTest.testMultiply

    private double[][] d3 = new double[][] {{1,2,3,4},{5,6,7,8}};
    private double[][] d4 = new double[][] {{1},{2},{3},{4}};
    private double[][] d5 = new double[][] {{30},{70}};

    public void testMultiply2() {
       RealMatrix m3 = new RealMatrixImpl(d3);
       RealMatrix m4 = new RealMatrixImpl(d4);
       RealMatrix m5 = new RealMatrixImpl(d5);
       TestUtils.assertEquals("m3*m4=m5", m3.multiply(m4), m5, entryTolerance);
   }

    /** test trace */
    public void testTrace() {
        RealMatrix m = new RealMatrixImpl(id);
        assertEquals("identity trace",3d,m.getTrace(),entryTolerance);
        m = new RealMatrixImpl(testData2);
        try {
            m.getTrace();
            fail("Expecting NonSquareMatrixException");
        } catch (NonSquareMatrixException ex) {
            // ignored
        }
    }

    /** test sclarAdd */
    public void testScalarAdd() {
        RealMatrix m = new RealMatrixImpl(testData);
        TestUtils.assertEquals("scalar add",new RealMatrixImpl(testDataPlus2),
            m.scalarAdd(2d),entryTolerance);
    }

    /** test operate */
    public void testOperate() {
        RealMatrix m = new RealMatrixImpl(id);
        TestUtils.assertEquals("identity operate", testVector,
                    m.operate(testVector), entryTolerance);
        TestUtils.assertEquals("identity operate", testVector,
                    m.operate(new ArrayRealVector(testVector)).getData(), entryTolerance);
        m = new RealMatrixImpl(bigSingular);
        try {
            m.operate(testVector);
            fail("Expecting illegalArgumentException");
        } catch (IllegalArgumentException ex) {
            // ignored
        }
    }

    /** test issue MATH-209 */
    public void testMath209() {
        RealMatrix a = new RealMatrixImpl(new double[][] {
                { 1, 2 }, { 3, 4 }, { 5, 6 }
        }, false);
        double[] b = a.operate(new double[] { 1, 1 });
        assertEquals(a.getRowDimension(), b.length);
        assertEquals( 3.0, b[0], 1.0e-12);
        assertEquals( 7.0, b[1], 1.0e-12);
        assertEquals(11.0, b[2], 1.0e-12);
    }

    /** test transpose */
    public void testTranspose() {
        RealMatrix m = new RealMatrixImpl(testData);
        RealMatrix mIT = new LUDecompositionImpl(m).getSolver().getInverse().transpose();
        RealMatrix mTI = new LUDecompositionImpl(m.transpose()).getSolver().getInverse();
        TestUtils.assertEquals("inverse-transpose", mIT, mTI, normTolerance);
        m = new RealMatrixImpl(testData2);
        RealMatrix mt = new RealMatrixImpl(testData2T);
        TestUtils.assertEquals("transpose",mt,m.transpose(),normTolerance);
    }

    /** test preMultiply by vector */
    public void testPremultiplyVector() {
        RealMatrix m = new RealMatrixImpl(testData);
        TestUtils.assertEquals("premultiply", m.preMultiply(testVector),
                    preMultTest, normTolerance);
        TestUtils.assertEquals("premultiply", m.preMultiply(new ArrayRealVector(testVector).getData()),
                    preMultTest, normTolerance);
        m = new RealMatrixImpl(bigSingular);
        try {
            m.preMultiply(testVector);
            fail("expecting IllegalArgumentException");
        } catch (IllegalArgumentException ex) {
            // ignored
        }
    }

    public void testPremultiply() {
        RealMatrix m3 = new RealMatrixImpl(d3);
        RealMatrix m4 = new RealMatrixImpl(d4);
        RealMatrix m5 = new RealMatrixImpl(d5);
        TestUtils.assertEquals("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance);

        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl mInv = new RealMatrixImpl(testDataInv);
        RealMatrixImpl identity = new RealMatrixImpl(id);
        TestUtils.assertEquals("inverse multiply",m.preMultiply(mInv),
                identity,entryTolerance);
        TestUtils.assertEquals("inverse multiply",mInv.preMultiply(m),
                identity,entryTolerance);
        TestUtils.assertEquals("identity multiply",m.preMultiply(identity),
                m,entryTolerance);
        TestUtils.assertEquals("identity multiply",identity.preMultiply(mInv),
                mInv,entryTolerance);
        try {
            m.preMultiply(new RealMatrixImpl(bigSingular));
            fail("Expecting illegalArgumentException");
        } catch (IllegalArgumentException ex) {
            // ignored
        }
    }

    public void testGetVectors() {
        RealMatrix m = new RealMatrixImpl(testData);
        TestUtils.assertEquals("get row",m.getRow(0),testDataRow1,entryTolerance);
        TestUtils.assertEquals("get col",m.getColumn(2),testDataCol3,entryTolerance);
        try {
            m.getRow(10);
            fail("expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // ignored
        }
        try {
            m.getColumn(-1);
            fail("expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // ignored
        }
    }

    public void testGetEntry() {
        RealMatrix m = new RealMatrixImpl(testData);
        assertEquals("get entry",m.getEntry(0,1),2d,entryTolerance);
        try {
            m.getEntry(10, 4);
            fail ("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    /** test examples in user guide */
    public void testExamples() {
        // Create a real matrix with two rows and three columns
        double[][] matrixData = { {1d,2d,3d}, {2d,5d,3d}};
        RealMatrix m = new RealMatrixImpl(matrixData);
        // One more with three rows, two columns
        double[][] matrixData2 = { {1d,2d}, {2d,5d}, {1d, 7d}};
        RealMatrix n = new RealMatrixImpl(matrixData2);
        // Now multiply m by n
        RealMatrix p = m.multiply(n);
        assertEquals(2, p.getRowDimension());
        assertEquals(2, p.getColumnDimension());
        // Invert p
        RealMatrix pInverse = new LUDecompositionImpl(p).getSolver().getInverse();
        assertEquals(2, pInverse.getRowDimension());
        assertEquals(2, pInverse.getColumnDimension());

        // Solve example
        double[][] coefficientsData = {{2, 3, -2}, {-1, 7, 6}, {4, -3, -5}};
        RealMatrix coefficients = new RealMatrixImpl(coefficientsData);
        double[] constants = {1, -2, 1};
        double[] solution = new LUDecompositionImpl(coefficients).getSolver().solve(constants);
        assertEquals(2 * solution[0] + 3 * solution[1] -2 * solution[2], constants[0], 1E-12);
        assertEquals(-1 * solution[0] + 7 * solution[1] + 6 * solution[2], constants[1], 1E-12);
        assertEquals(4 * solution[0] - 3 * solution[1] -5 * solution[2], constants[2], 1E-12);

    }

    // test submatrix accessors
    public void testGetSubMatrix() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        checkGetSubMatrix(m, subRows23Cols00,  2 , 3 , 0, 0, false);
        checkGetSubMatrix(m, subRows00Cols33,  0 , 0 , 3, 3, false);
        checkGetSubMatrix(m, subRows01Cols23,  0 , 1 , 2, 3, false);
        checkGetSubMatrix(m, subRows02Cols13,  new int[] { 0, 2 }, new int[] { 1, 3 },    false);
        checkGetSubMatrix(m, subRows03Cols12,  new int[] { 0, 3 }, new int[] { 1, 2 },    false);
        checkGetSubMatrix(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 }, false);
        checkGetSubMatrix(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 }, false);
        checkGetSubMatrix(m, subRows31Cols31,  new int[] { 3, 1 }, new int[] { 3, 1 },    false);
        checkGetSubMatrix(m, subRows31Cols31,  new int[] { 3, 1 }, new int[] { 3, 1 },    false);
        checkGetSubMatrix(m, null,  1, 0, 2, 4, true);
        checkGetSubMatrix(m, null, -1, 1, 2, 2, true);
        checkGetSubMatrix(m, null,  1, 0, 2, 2, true);
        checkGetSubMatrix(m, null,  1, 0, 2, 4, true);
        checkGetSubMatrix(m, null, new int[] {},    new int[] { 0 }, true);
        checkGetSubMatrix(m, null, new int[] { 0 }, new int[] { 4 }, true);
    }

    private void checkGetSubMatrix(RealMatrix m, double[][] reference,
                                   int startRow, int endRow, int startColumn, int endColumn,
                                   boolean mustFail) {
        try {
            RealMatrix sub = m.getSubMatrix(startRow, endRow, startColumn, endColumn);
            assertEquals(new RealMatrixImpl(reference), sub);
            if (mustFail) {
                fail("Expecting MatrixIndexException");
            }
        } catch (MatrixIndexException e) {
            if (!mustFail) {
                throw e;
            }
        }
    }

    private void checkGetSubMatrix(RealMatrix m, double[][] reference,
                                   int[] selectedRows, int[] selectedColumns,
                                   boolean mustFail) {
        try {
            RealMatrix sub = m.getSubMatrix(selectedRows, selectedColumns);
            assertEquals(new RealMatrixImpl(reference), sub);
            if (mustFail) {
                fail("Expecting MatrixIndexException");
            }
        } catch (MatrixIndexException e) {
            if (!mustFail) {
                throw e;
            }
        }
    }

    public void testCopySubMatrix() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        checkCopy(m, subRows23Cols00,  2 , 3 , 0, 0, false);
        checkCopy(m, subRows00Cols33,  0 , 0 , 3, 3, false);
        checkCopy(m, subRows01Cols23,  0 , 1 , 2, 3, false);
        checkCopy(m, subRows02Cols13,  new int[] { 0, 2 }, new int[] { 1, 3 },    false);
        checkCopy(m, subRows03Cols12,  new int[] { 0, 3 }, new int[] { 1, 2 },    false);
        checkCopy(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 }, false);
        checkCopy(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 }, false);
        checkCopy(m, subRows31Cols31,  new int[] { 3, 1 }, new int[] { 3, 1 },    false);
        checkCopy(m, subRows31Cols31,  new int[] { 3, 1 }, new int[] { 3, 1 },    false);

        checkCopy(m, null,  1, 0, 2, 4, true);
        checkCopy(m, null, -1, 1, 2, 2, true);
        checkCopy(m, null,  1, 0, 2, 2, true);
        checkCopy(m, null,  1, 0, 2, 4, true);
        checkCopy(m, null, new int[] {},    new int[] { 0 }, true);
        checkCopy(m, null, new int[] { 0 }, new int[] { 4 }, true);
    }

    private void checkCopy(RealMatrix m, double[][] reference,
                           int startRow, int endRow, int startColumn, int endColumn,
                           boolean mustFail) {
        try {
            double[][] sub = (reference == null) ?
                             new double[1][1] :
                             new double[reference.length][reference[0].length];
            m.copySubMatrix(startRow, endRow, startColumn, endColumn, sub);
            assertEquals(new RealMatrixImpl(reference), new RealMatrixImpl(sub));
            if (mustFail) {
                fail("Expecting MatrixIndexException");
            }
        } catch (MatrixIndexException e) {
            if (!mustFail) {
                throw e;
            }
        }
    }

    private void checkCopy(RealMatrix m, double[][] reference,
                           int[] selectedRows, int[] selectedColumns,
                           boolean mustFail) {
        try {
            double[][] sub = (reference == null) ?
                    new double[1][1] :
                    new double[reference.length][reference[0].length];
            m.copySubMatrix(selectedRows, selectedColumns, sub);
            assertEquals(new RealMatrixImpl(reference), new RealMatrixImpl(sub));
            if (mustFail) {
                fail("Expecting MatrixIndexException");
            }
        } catch (MatrixIndexException e) {
            if (!mustFail) {
                throw e;
            }
        }
    }

    public void testGetRowMatrix() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealMatrix mRow0 = new RealMatrixImpl(subRow0);
        RealMatrix mRow3 = new RealMatrixImpl(subRow3);
        assertEquals("Row0", mRow0,
                m.getRowMatrix(0));
        assertEquals("Row3", mRow3,
                m.getRowMatrix(3));
        try {
            m.getRowMatrix(-1);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.getRowMatrix(4);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    public void testSetRowMatrix() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealMatrix mRow3 = new RealMatrixImpl(subRow3);
        assertNotSame(mRow3, m.getRowMatrix(0));
        m.setRowMatrix(0, mRow3);
        assertEquals(mRow3, m.getRowMatrix(0));
        try {
            m.setRowMatrix(-1, mRow3);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.setRowMatrix(0, m);
            fail("Expecting InvalidMatrixException");
        } catch (InvalidMatrixException ex) {
            // expected
        }
    }

    public void testGetColumnMatrix() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealMatrix mColumn1 = new RealMatrixImpl(subColumn1);
        RealMatrix mColumn3 = new RealMatrixImpl(subColumn3);
        assertEquals("Column1", mColumn1,
                m.getColumnMatrix(1));
        assertEquals("Column3", mColumn3,
                m.getColumnMatrix(3));
        try {
            m.getColumnMatrix(-1);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.getColumnMatrix(4);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    public void testSetColumnMatrix() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealMatrix mColumn3 = new RealMatrixImpl(subColumn3);
        assertNotSame(mColumn3, m.getColumnMatrix(1));
        m.setColumnMatrix(1, mColumn3);
        assertEquals(mColumn3, m.getColumnMatrix(1));
        try {
            m.setColumnMatrix(-1, mColumn3);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.setColumnMatrix(0, m);
            fail("Expecting InvalidMatrixException");
        } catch (InvalidMatrixException ex) {
            // expected
        }
    }

    public void testGetRowVector() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealVector mRow0 = new ArrayRealVector(subRow0[0]);
        RealVector mRow3 = new ArrayRealVector(subRow3[0]);
        assertEquals("Row0", mRow0, m.getRowVector(0));
        assertEquals("Row3", mRow3, m.getRowVector(3));
        try {
            m.getRowVector(-1);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.getRowVector(4);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    public void testSetRowVector() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealVector mRow3 = new ArrayRealVector(subRow3[0]);
        assertNotSame(mRow3, m.getRowMatrix(0));
        m.setRowVector(0, mRow3);
        assertEquals(mRow3, m.getRowVector(0));
        try {
            m.setRowVector(-1, mRow3);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.setRowVector(0, new ArrayRealVector(5));
            fail("Expecting InvalidMatrixException");
        } catch (InvalidMatrixException ex) {
            // expected
        }
    }

    public void testGetColumnVector() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealVector mColumn1 = columnToVector(subColumn1);
        RealVector mColumn3 = columnToVector(subColumn3);
        assertEquals("Column1", mColumn1, m.getColumnVector(1));
        assertEquals("Column3", mColumn3, m.getColumnVector(3));
        try {
            m.getColumnVector(-1);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.getColumnVector(4);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    public void testSetColumnVector() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        RealVector mColumn3 = columnToVector(subColumn3);
        assertNotSame(mColumn3, m.getColumnVector(1));
        m.setColumnVector(1, mColumn3);
        assertEquals(mColumn3, m.getColumnVector(1));
        try {
            m.setColumnVector(-1, mColumn3);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.setColumnVector(0, new ArrayRealVector(5));
            fail("Expecting InvalidMatrixException");
        } catch (InvalidMatrixException ex) {
            // expected
        }
    }

    private RealVector columnToVector(double[][] column) {
        double[] data = new double[column.length];
        for (int i = 0; i < data.length; ++i) {
            data[i] = column[i][0];
        }
        return new ArrayRealVector(data, false);
    }

    public void testGetRow() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        checkArrays(subRow0[0], m.getRow(0));
        checkArrays(subRow3[0], m.getRow(3));
        try {
            m.getRow(-1);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.getRow(4);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    public void testSetRow() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        assertTrue(subRow3[0][0] != m.getRow(0)[0]);
        m.setRow(0, subRow3[0]);
        checkArrays(subRow3[0], m.getRow(0));
        try {
            m.setRow(-1, subRow3[0]);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.setRow(0, new double[5]);
            fail("Expecting InvalidMatrixException");
        } catch (InvalidMatrixException ex) {
            // expected
        }
    }

    public void testGetColumn() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        double[] mColumn1 = columnToArray(subColumn1);
        double[] mColumn3 = columnToArray(subColumn3);
        checkArrays(mColumn1, m.getColumn(1));
        checkArrays(mColumn3, m.getColumn(3));
        try {
            m.getColumn(-1);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.getColumn(4);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
    }

    public void testSetColumn() {
        RealMatrix m = new RealMatrixImpl(subTestData);
        double[] mColumn3 = columnToArray(subColumn3);
        assertTrue(mColumn3[0] != m.getColumn(1)[0]);
        m.setColumn(1, mColumn3);
        checkArrays(mColumn3, m.getColumn(1));
        try {
            m.setColumn(-1, mColumn3);
            fail("Expecting MatrixIndexException");
        } catch (MatrixIndexException ex) {
            // expected
        }
        try {
            m.setColumn(0, new double[5]);
            fail("Expecting InvalidMatrixException");
        } catch (InvalidMatrixException ex) {
            // expected
        }
    }

    private double[] columnToArray(double[][] column) {
        double[] data = new double[column.length];
        for (int i = 0; i < data.length; ++i) {
            data[i] = column[i][0];
        }
        return data;
    }

    private void checkArrays(double[] expected, double[] actual) {
        assertEquals(expected.length, actual.length);
        for (int i = 0; i < expected.length; ++i) {
            assertEquals(expected[i], actual[i]);
        }
    }

    public void testEqualsAndHashCode() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        RealMatrixImpl m1 = (RealMatrixImpl) m.copy();
        RealMatrixImpl mt = (RealMatrixImpl) m.transpose();
        assertTrue(m.hashCode() != mt.hashCode());
        assertEquals(m.hashCode(), m1.hashCode());
        assertEquals(m, m);
        assertEquals(m, m1);
        assertFalse(m.equals(null));
        assertFalse(m.equals(mt));
        assertFalse(m.equals(new RealMatrixImpl(bigSingular)));
    }

    public void testToString() {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        assertEquals("RealMatrixImpl{{1.0,2.0,3.0},{2.0,5.0,3.0},{1.0,0.0,8.0}}",
                m.toString());
        m = new RealMatrixImpl();
        assertEquals("RealMatrixImpl{}",
                m.toString());
    }

    public void testSetSubMatrix() throws Exception {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        m.setSubMatrix(detData2,1,1);
        RealMatrix expected = MatrixUtils.createRealMatrix
            (new double[][] {{1.0,2.0,3.0},{2.0,1.0,3.0},{1.0,2.0,4.0}});
        assertEquals(expected, m);

        m.setSubMatrix(detData2,0,0);
        expected = MatrixUtils.createRealMatrix
            (new double[][] {{1.0,3.0,3.0},{2.0,4.0,3.0},{1.0,2.0,4.0}});
        assertEquals(expected, m);

        m.setSubMatrix(testDataPlus2,0,0);
        expected = MatrixUtils.createRealMatrix
            (new double[][] {{3.0,4.0,5.0},{4.0,7.0,5.0},{3.0,2.0,10.0}});
        assertEquals(expected, m);

        // dimension overflow
        try {
            m.setSubMatrix(testData,1,1);
            fail("expecting MatrixIndexException");
        } catch (MatrixIndexException e) {
            // expected
        }
        // dimension underflow
        try {
            m.setSubMatrix(testData,-1,1);
            fail("expecting MatrixIndexException");
        } catch (MatrixIndexException e) {
            // expected
        }
        try {
            m.setSubMatrix(testData,1,-1);
            fail("expecting MatrixIndexException");
        } catch (MatrixIndexException e) {
            // expected
        }

        // null
        try {
            m.setSubMatrix(null,1,1);
            fail("expecting NullPointerException");
        } catch (NullPointerException e) {
            // expected
        }
        RealMatrixImpl m2 = new RealMatrixImpl();
        try {
            m2.setSubMatrix(testData,0,1);
            fail("expecting IllegalStateException");
        } catch (IllegalStateException e) {
            // expected
        }
        try {
            m2.setSubMatrix(testData,1,0);
            fail("expecting IllegalStateException");
        } catch (IllegalStateException e) {
            // expected
        }

        // ragged
        try {
            m.setSubMatrix(new double[][] {{1}, {2, 3}}, 0, 0);
            fail("expecting IllegalArgumentException");
        } catch (IllegalArgumentException e) {
            // expected
        }

        // empty
        try {
            m.setSubMatrix(new double[][] {{}}, 0, 0);
            fail("expecting IllegalArgumentException");
        } catch (IllegalArgumentException e) {
            // expected
        }

    }

    public void testWalk() {
        int rows    = 150;
        int columns = 75;

        RealMatrix m = new RealMatrixImpl(rows, columns);
        m.walkInRowOrder(new SetVisitor());
        GetVisitor getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor);
        assertEquals(rows * columns, getVisitor.getCount());

        m = new RealMatrixImpl(rows, columns);
        m.walkInRowOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            assertEquals(0.0, m.getEntry(i, 0), 0);
            assertEquals(0.0, m.getEntry(i, columns - 1), 0);
        }
        for (int j = 0; j < columns; ++j) {
            assertEquals(0.0, m.getEntry(0, j), 0);
            assertEquals(0.0, m.getEntry(rows - 1, j), 0);
        }

        m = new RealMatrixImpl(rows, columns);
        m.walkInColumnOrder(new SetVisitor());
        getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor);
        assertEquals(rows * columns, getVisitor.getCount());

        m = new RealMatrixImpl(rows, columns);
        m.walkInColumnOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            assertEquals(0.0, m.getEntry(i, 0), 0);
            assertEquals(0.0, m.getEntry(i, columns - 1), 0);
        }
        for (int j = 0; j < columns; ++j) {
            assertEquals(0.0, m.getEntry(0, j), 0);
            assertEquals(0.0, m.getEntry(rows - 1, j), 0);
        }

        m = new RealMatrixImpl(rows, columns);
        m.walkInOptimizedOrder(new SetVisitor());
        getVisitor = new GetVisitor();
        m.walkInRowOrder(getVisitor);
        assertEquals(rows * columns, getVisitor.getCount());

        m = new RealMatrixImpl(rows, columns);
        m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInRowOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            assertEquals(0.0, m.getEntry(i, 0), 0);
            assertEquals(0.0, m.getEntry(i, columns - 1), 0);
        }
        for (int j = 0; j < columns; ++j) {
            assertEquals(0.0, m.getEntry(0, j), 0);
            assertEquals(0.0, m.getEntry(rows - 1, j), 0);
        }

        m = new RealMatrixImpl(rows, columns);
        m.walkInOptimizedOrder(new SetVisitor());
        getVisitor = new GetVisitor();
        m.walkInColumnOrder(getVisitor);
        assertEquals(rows * columns, getVisitor.getCount());

        m = new RealMatrixImpl(rows, columns);
        m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInColumnOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            assertEquals(0.0, m.getEntry(i, 0), 0);
            assertEquals(0.0, m.getEntry(i, columns - 1), 0);
        }
        for (int j = 0; j < columns; ++j) {
            assertEquals(0.0, m.getEntry(0, j), 0);
            assertEquals(0.0, m.getEntry(rows - 1, j), 0);
        }

    }

    public void testSerial()  {
        RealMatrixImpl m = new RealMatrixImpl(testData);
        assertEquals(m,TestUtils.serializeAndRecover(m));
    }


    private static class SetVisitor extends DefaultRealMatrixChangingVisitor {
        @Override
        public double visit(int i, int j, double value) {
            return i + j / 1024.0;
        }
    }

    private static class GetVisitor extends DefaultRealMatrixPreservingVisitor {
        private int count = 0;
        @Override
        public void visit(int i, int j, double value) {
            ++count;
            assertEquals(i + j / 1024.0, value, 0.0);
        }
        public int getCount() {
            return count;
        }
    }

    //--------------- -----------------Protected methods

    /** extracts the l  and u matrices from compact lu representation */
    protected void splitLU(RealMatrix lu, double[][] lowerData, double[][] upperData) throws InvalidMatrixException {
        if (!lu.isSquare() || lowerData.length != lowerData[0].length || upperData.length != upperData[0].length ||
                lowerData.length != upperData.length
                || lowerData.length != lu.getRowDimension()) {
            throw new InvalidMatrixException("incorrect dimensions");
        }
        int n = lu.getRowDimension();
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                if (j < i) {
                    lowerData[i][j] = lu.getEntry(i, j);
                    upperData[i][j] = 0d;
                } else if (i == j) {
                    lowerData[i][j] = 1d;
                    upperData[i][j] = lu.getEntry(i, j);
                } else {
                    lowerData[i][j] = 0d;
                    upperData[i][j] = lu.getEntry(i, j);
                }
            }
        }
    }

    /** Returns the result of applying the given row permutation to the matrix */
    protected RealMatrix permuteRows(RealMatrix matrix, int[] permutation) {
        if (!matrix.isSquare() || matrix.getRowDimension() != permutation.length) {
            throw new IllegalArgumentException("dimension mismatch");
        }
        int n = matrix.getRowDimension();
        int m = matrix.getColumnDimension();
        double out[][] = new double[m][n];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                out[i][j] = matrix.getEntry(permutation[i], j);
            }
        }
        return new RealMatrixImpl(out);
    }

//    /** Useful for debugging */
//    private void dumpMatrix(RealMatrix m) {
//          for (int i = 0; i < m.getRowDimension(); i++) {
//              String os = "";
//              for (int j = 0; j < m.getColumnDimension(); j++) {
//                  os += m.getEntry(i, j) + " ";
//              }
//              System.out.println(os);
//          }
//    }

}

Other Commons Math examples (source code examples)

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