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Commons Math example source code file (FieldLUDecompositionImplTest.java)

This example Commons Math source code file (FieldLUDecompositionImplTest.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

array2drowfieldmatrix, array2drowfieldmatrix, exception, fieldludecomposition, fieldludecompositionimpl, fieldludecompositionimpl, fieldludecompositionimpltest, fieldmatrix, fieldmatrix, fraction, fraction, invalidmatrixexception, lu, testcase

The Commons Math FieldLUDecompositionImplTest.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;
import org.apache.commons.math.fraction.Fraction;
import org.apache.commons.math.fraction.FractionField;

public class FieldLUDecompositionImplTest extends TestCase {
    private Fraction[][] testData = {
            { new Fraction(1), new Fraction(2), new Fraction(3)},
            { new Fraction(2), new Fraction(5), new Fraction(3)},
            { new Fraction(1), new Fraction(0), new Fraction(8)}
    };
    private Fraction[][] testDataMinus = {
            { new Fraction(-1), new Fraction(-2), new Fraction(-3)},
            { new Fraction(-2), new Fraction(-5), new Fraction(-3)},
            { new Fraction(-1),  new Fraction(0), new Fraction(-8)}
    };
    private Fraction[][] luData = {
            { new Fraction(2), new Fraction(3), new Fraction(3) },
            { new Fraction(2), new Fraction(3), new Fraction(7) },
            { new Fraction(6), new Fraction(6), new Fraction(8) }
    };

    // singular matrices
    private Fraction[][] singular = {
            { new Fraction(2), new Fraction(3) },
            { new Fraction(2), new Fraction(3) }
    };
    private Fraction[][] bigSingular = {
            { new Fraction(1), new Fraction(2),   new Fraction(3),    new Fraction(4) },
            { new Fraction(2), new Fraction(5),   new Fraction(3),    new Fraction(4) },
            { new Fraction(7), new Fraction(3), new Fraction(256), new Fraction(1930) },
            { new Fraction(3), new Fraction(7),   new Fraction(6),    new Fraction(8) }
    }; // 4th row = 1st + 2nd

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

    /** test dimensions */
    public void testDimensions() {
        FieldMatrix<Fraction> matrix = new Array2DRowFieldMatrix(testData);
        FieldLUDecomposition<Fraction> LU = new FieldLUDecompositionImpl(matrix);
        assertEquals(testData.length, LU.getL().getRowDimension());
        assertEquals(testData.length, LU.getL().getColumnDimension());
        assertEquals(testData.length, LU.getU().getRowDimension());
        assertEquals(testData.length, LU.getU().getColumnDimension());
        assertEquals(testData.length, LU.getP().getRowDimension());
        assertEquals(testData.length, LU.getP().getColumnDimension());

    }

    /** test non-square matrix */
    public void testNonSquare() {
        try {
            new FieldLUDecompositionImpl<Fraction>(new Array2DRowFieldMatrix(new Fraction[][] {
                    { Fraction.ZERO, Fraction.ZERO },
                    { Fraction.ZERO, Fraction.ZERO },
                    { Fraction.ZERO, Fraction.ZERO }
            }));
        } catch (InvalidMatrixException ime) {
            // expected behavior
        } catch (Exception e) {
            fail("wrong exception caught");
        }
    }

    /** test PA = LU */
    public void testPAEqualLU() {
        FieldMatrix<Fraction> matrix = new Array2DRowFieldMatrix(testData);
        FieldLUDecomposition<Fraction> lu = new FieldLUDecompositionImpl(matrix);
        FieldMatrix<Fraction> l = lu.getL();
        FieldMatrix<Fraction> u = lu.getU();
        FieldMatrix<Fraction> p = lu.getP();
        TestUtils.assertEquals(p.multiply(matrix), l.multiply(u));

        matrix = new Array2DRowFieldMatrix<Fraction>(testDataMinus);
        lu = new FieldLUDecompositionImpl<Fraction>(matrix);
        l = lu.getL();
        u = lu.getU();
        p = lu.getP();
        TestUtils.assertEquals(p.multiply(matrix), l.multiply(u));

        matrix = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), 17, 17);
        for (int i = 0; i < matrix.getRowDimension(); ++i) {
            matrix.setEntry(i, i, Fraction.ONE);
        }
        lu = new FieldLUDecompositionImpl<Fraction>(matrix);
        l = lu.getL();
        u = lu.getU();
        p = lu.getP();
        TestUtils.assertEquals(p.multiply(matrix), l.multiply(u));

        matrix = new Array2DRowFieldMatrix<Fraction>(singular);
        lu = new FieldLUDecompositionImpl<Fraction>(matrix);
        assertFalse(lu.getSolver().isNonSingular());
        assertNull(lu.getL());
        assertNull(lu.getU());
        assertNull(lu.getP());

        matrix = new Array2DRowFieldMatrix<Fraction>(bigSingular);
        lu = new FieldLUDecompositionImpl<Fraction>(matrix);
        assertFalse(lu.getSolver().isNonSingular());
        assertNull(lu.getL());
        assertNull(lu.getU());
        assertNull(lu.getP());

    }

    /** test that L is lower triangular with unit diagonal */
    public void testLLowerTriangular() {
        FieldMatrix<Fraction> matrix = new Array2DRowFieldMatrix(testData);
        FieldMatrix<Fraction> l = new FieldLUDecompositionImpl(matrix).getL();
        for (int i = 0; i < l.getRowDimension(); i++) {
            assertEquals(Fraction.ONE, l.getEntry(i, i));
            for (int j = i + 1; j < l.getColumnDimension(); j++) {
                assertEquals(Fraction.ZERO, l.getEntry(i, j));
            }
        }
    }

    /** test that U is upper triangular */
    public void testUUpperTriangular() {
        FieldMatrix<Fraction> matrix = new Array2DRowFieldMatrix(testData);
        FieldMatrix<Fraction> u = new FieldLUDecompositionImpl(matrix).getU();
        for (int i = 0; i < u.getRowDimension(); i++) {
            for (int j = 0; j < i; j++) {
                assertEquals(Fraction.ZERO, u.getEntry(i, j));
            }
        }
    }

    /** test that P is a permutation matrix */
    public void testPPermutation() {
        FieldMatrix<Fraction> matrix = new Array2DRowFieldMatrix(testData);
        FieldMatrix<Fraction> p   = new FieldLUDecompositionImpl(matrix).getP();

        FieldMatrix<Fraction> ppT = p.multiply(p.transpose());
        FieldMatrix<Fraction> id  =
            new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(),
                                          p.getRowDimension(), p.getRowDimension());
        for (int i = 0; i < id.getRowDimension(); ++i) {
            id.setEntry(i, i, Fraction.ONE);
        }
        TestUtils.assertEquals(id, ppT);

        for (int i = 0; i < p.getRowDimension(); i++) {
            int zeroCount  = 0;
            int oneCount   = 0;
            int otherCount = 0;
            for (int j = 0; j < p.getColumnDimension(); j++) {
                final Fraction e = p.getEntry(i, j);
                if (e.equals(Fraction.ZERO)) {
                    ++zeroCount;
                } else if (e.equals(Fraction.ONE)) {
                    ++oneCount;
                } else {
                    ++otherCount;
                }
            }
            assertEquals(p.getColumnDimension() - 1, zeroCount);
            assertEquals(1, oneCount);
            assertEquals(0, otherCount);
        }

        for (int j = 0; j < p.getColumnDimension(); j++) {
            int zeroCount  = 0;
            int oneCount   = 0;
            int otherCount = 0;
            for (int i = 0; i < p.getRowDimension(); i++) {
                final Fraction e = p.getEntry(i, j);
                if (e.equals(Fraction.ZERO)) {
                    ++zeroCount;
                } else if (e.equals(Fraction.ONE)) {
                    ++oneCount;
                } else {
                    ++otherCount;
                }
            }
            assertEquals(p.getRowDimension() - 1, zeroCount);
            assertEquals(1, oneCount);
            assertEquals(0, otherCount);
        }

    }


    /** test singular */
    public void testSingular() {
        FieldLUDecomposition<Fraction> lu =
            new FieldLUDecompositionImpl<Fraction>(new Array2DRowFieldMatrix(testData));
        assertTrue(lu.getSolver().isNonSingular());
        lu = new FieldLUDecompositionImpl<Fraction>(new Array2DRowFieldMatrix(singular));
        assertFalse(lu.getSolver().isNonSingular());
        lu = new FieldLUDecompositionImpl<Fraction>(new Array2DRowFieldMatrix(bigSingular));
        assertFalse(lu.getSolver().isNonSingular());
    }

    /** test matrices values */
    public void testMatricesValues1() {
       FieldLUDecomposition<Fraction> lu =
            new FieldLUDecompositionImpl<Fraction>(new Array2DRowFieldMatrix(testData));
        FieldMatrix<Fraction> lRef = new Array2DRowFieldMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(0), new Fraction(0) },
                { new Fraction(2), new Fraction(1), new Fraction(0) },
                { new Fraction(1), new Fraction(-2), new Fraction(1) }
        });
        FieldMatrix<Fraction> uRef = new Array2DRowFieldMatrix(new Fraction[][] {
                { new Fraction(1),  new Fraction(2), new Fraction(3) },
                { new Fraction(0), new Fraction(1), new Fraction(-3) },
                { new Fraction(0),  new Fraction(0), new Fraction(-1) }
        });
        FieldMatrix<Fraction> pRef = new Array2DRowFieldMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(0), new Fraction(0) },
                { new Fraction(0), new Fraction(1), new Fraction(0) },
                { new Fraction(0), new Fraction(0), new Fraction(1) }
        });
        int[] pivotRef = { 0, 1, 2 };

        // check values against known references
        FieldMatrix<Fraction> l = lu.getL();
        TestUtils.assertEquals(lRef, l);
        FieldMatrix<Fraction> u = lu.getU();
        TestUtils.assertEquals(uRef, u);
        FieldMatrix<Fraction> p = lu.getP();
        TestUtils.assertEquals(pRef, p);
        int[] pivot = lu.getPivot();
        for (int i = 0; i < pivotRef.length; ++i) {
            assertEquals(pivotRef[i], pivot[i]);
        }

        // check the same cached instance is returned the second time
        assertTrue(l == lu.getL());
        assertTrue(u == lu.getU());
        assertTrue(p == lu.getP());

    }

    /** test matrices values */
    public void testMatricesValues2() {
       FieldLUDecomposition<Fraction> lu =
            new FieldLUDecompositionImpl<Fraction>(new Array2DRowFieldMatrix(luData));
        FieldMatrix<Fraction> lRef = new Array2DRowFieldMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(0), new Fraction(0) },
                { new Fraction(3), new Fraction(1), new Fraction(0) },
                { new Fraction(1), new Fraction(0), new Fraction(1) }
        });
        FieldMatrix<Fraction> uRef = new Array2DRowFieldMatrix(new Fraction[][] {
                { new Fraction(2), new Fraction(3), new Fraction(3)    },
                { new Fraction(0), new Fraction(-3), new Fraction(-1)  },
                { new Fraction(0), new Fraction(0), new Fraction(4) }
        });
        FieldMatrix<Fraction> pRef = new Array2DRowFieldMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(0), new Fraction(0) },
                { new Fraction(0), new Fraction(0), new Fraction(1) },
                { new Fraction(0), new Fraction(1), new Fraction(0) }
        });
        int[] pivotRef = { 0, 2, 1 };

        // check values against known references
        FieldMatrix<Fraction> l = lu.getL();
        TestUtils.assertEquals(lRef, l);
        FieldMatrix<Fraction> u = lu.getU();
        TestUtils.assertEquals(uRef, u);
        FieldMatrix<Fraction> p = lu.getP();
        TestUtils.assertEquals(pRef, p);
        int[] pivot = lu.getPivot();
        for (int i = 0; i < pivotRef.length; ++i) {
            assertEquals(pivotRef[i], pivot[i]);
        }

        // check the same cached instance is returned the second time
        assertTrue(l == lu.getL());
        assertTrue(u == lu.getU());
        assertTrue(p == lu.getP());

    }

}

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