Adding unit test for SparseFieldMatrix
git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@772042 13f79535-47bb-0310-9956-ffa450edef68
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William Barker
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/*
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* Licensed to the Apache Software Foundation (ASF) under one or more
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* contributor license agreements. See the NOTICE file distributed with
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* this work for additional information regarding copyright ownership.
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* The ASF licenses this file to You under the Apache License, Version 2.0
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* (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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package org.apache.commons.math.linear;
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import org.apache.commons.math.Field;
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import org.apache.commons.math.fraction.Fraction;
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import org.apache.commons.math.fraction.FractionConversionException;
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import org.apache.commons.math.fraction.FractionField;
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import org.apache.commons.math.linear.decomposition.FieldLUDecompositionImpl;
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import org.apache.commons.math.linear.decomposition.NonSquareMatrixException;
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import junit.framework.Test;
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import junit.framework.TestCase;
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import junit.framework.TestSuite;
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/**
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* Test cases for the {@link SparseFieldMatrix} class.
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*
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* @version $Revision: 728186 $ $Date: 2009-04-20 11:42:11 -0700 (Mon, 20 Apr 2009) $
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*/
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public class SparseFieldMatrixTest extends TestCase {
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// 3 x 3 identity matrix
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protected Fraction[][] id = { {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) } };
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// Test data for group operations
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protected Fraction[][] testData = { { new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(5), new Fraction(3) },
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{ new Fraction(1), new Fraction(0), new Fraction(8) } };
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protected Fraction[][] testDataLU = null;
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protected Fraction[][] testDataPlus2 = { { new Fraction(3), new Fraction(4), new Fraction(5) }, { new Fraction(4), new Fraction(7), new Fraction(5) },
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{ new Fraction(3), new Fraction(2), new Fraction(10) } };
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protected Fraction[][] testDataMinus = { { new Fraction(-1), new Fraction(-2), new Fraction(-3) },
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{ new Fraction(-2), new Fraction(-5), new Fraction(-3) }, { new Fraction(-1), new Fraction(0), new Fraction(-8) } };
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protected Fraction[] testDataRow1 = { new Fraction(1), new Fraction(2), new Fraction(3) };
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protected Fraction[] testDataCol3 = { new Fraction(3), new Fraction(3), new Fraction(8) };
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protected Fraction[][] testDataInv = { { new Fraction(-40), new Fraction(16), new Fraction(9) }, { new Fraction(13), new Fraction(-5), new Fraction(-3) },
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{ new Fraction(5), new Fraction(-2), new Fraction(-1) } };
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protected Fraction[] preMultTest = { new Fraction(8), new Fraction(12), new Fraction(33) };
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protected Fraction[][] testData2 = { { new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(5), new Fraction(3) } };
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protected Fraction[][] testData2T = { { new Fraction(1), new Fraction(2) }, { new Fraction(2), new Fraction(5) }, { new Fraction(3), new Fraction(3) } };
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protected Fraction[][] testDataPlusInv = { { new Fraction(-39), new Fraction(18), new Fraction(12) },
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{ new Fraction(15), new Fraction(0), new Fraction(0) }, { new Fraction(6), new Fraction(-2), new Fraction(7) } };
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// lu decomposition tests
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protected Fraction[][] luData = { { new Fraction(2), new Fraction(3), new Fraction(3) }, { new Fraction(0), new Fraction(5), new Fraction(7) }, { new Fraction(6), new Fraction(9), new Fraction(8) } };
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protected Fraction[][] luDataLUDecomposition = null;
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// singular matrices
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protected Fraction[][] singular = { { new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(3) } };
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protected Fraction[][] bigSingular = { { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) },
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{ 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
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// row
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// =
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// 1st
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// +
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// 2nd
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protected Fraction[][] detData = { { new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(4), new Fraction(5), new Fraction(6) },
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{ new Fraction(7), new Fraction(8), new Fraction(10) } };
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protected Fraction[][] detData2 = { { new Fraction(1), new Fraction(3) }, { new Fraction(2), new Fraction(4) } };
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// vectors
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protected Fraction[] testVector = { new Fraction(1), new Fraction(2), new Fraction(3) };
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protected Fraction[] testVector2 = { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) };
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// submatrix accessor tests
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protected Fraction[][] subTestData = null;
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// array selections
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protected Fraction[][] subRows02Cols13 = { {new Fraction(2), new Fraction(4) }, { new Fraction(4), new Fraction(8) } };
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protected Fraction[][] subRows03Cols12 = { { new Fraction(2), new Fraction(3) }, { new Fraction(5), new Fraction(6) } };
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protected Fraction[][] subRows03Cols123 = { { new Fraction(2), new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6), new Fraction(7) } };
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// effective permutations
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protected Fraction[][] subRows20Cols123 = { { new Fraction(4), new Fraction(6), new Fraction(8) }, { new Fraction(2), new Fraction(3), new Fraction(4) } };
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protected Fraction[][] subRows31Cols31 = null;
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// contiguous ranges
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protected Fraction[][] subRows01Cols23 = null;
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protected Fraction[][] subRows23Cols00 = { { new Fraction(2) }, { new Fraction(4) } };
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protected Fraction[][] subRows00Cols33 = { { new Fraction(4) } };
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// row matrices
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protected Fraction[][] subRow0 = { { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) } };
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protected Fraction[][] subRow3 = { { new Fraction(4), new Fraction(5), new Fraction(6), new Fraction(7) } };
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// column matrices
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protected Fraction[][] subColumn1 = null;
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protected Fraction[][] subColumn3 = null;
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// tolerances
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protected double entryTolerance = 10E-16;
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protected double normTolerance = 10E-14;
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protected Field<Fraction> field = FractionField.getInstance();
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public SparseFieldMatrixTest(String name) {
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super(name);
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setupFractionArrays();
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}
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private void setupFractionArrays() {
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try {
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testDataLU = new Fraction[][]{ { new Fraction(2), new Fraction(5), new Fraction(3) }, { new Fraction(.5d), new Fraction(-2.5d), new Fraction(6.5d) },
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{ new Fraction(0.5d), new Fraction(0.2d), new Fraction(.2d) } };
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luDataLUDecomposition = new Fraction[][]{ { new Fraction(6), new Fraction(9), new Fraction(8) },
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{ new Fraction(0), new Fraction(5), new Fraction(7) }, { new Fraction(0.33333333333333), new Fraction(0), new Fraction(0.33333333333333) } };
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subTestData = new Fraction [][]{ { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) },
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{ new Fraction(1.5), new Fraction(2.5), new Fraction(3.5), new Fraction(4.5) }, { new Fraction(2), new Fraction(4), new Fraction(6), new Fraction(8) }, { new Fraction(4), new Fraction(5), new Fraction(6), new Fraction(7) } };
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subRows31Cols31 = new Fraction[][]{ { new Fraction(7), new Fraction(5) }, { new Fraction(4.5), new Fraction(2.5) } };
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subRows01Cols23 = new Fraction[][]{ { new Fraction(3), new Fraction(4) }, { new Fraction(3.5), new Fraction(4.5) } };
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subColumn1 = new Fraction [][]{ { new Fraction(2) }, { new Fraction(2.5) }, { new Fraction(4) }, { new Fraction(5) } };
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subColumn3 = new Fraction[][]{ { new Fraction(4) }, { new Fraction(4.5) }, { new Fraction(8) }, { new Fraction(7) } };
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} catch (FractionConversionException e) {
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// ignore, can't happen
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}
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}
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public static Test suite() {
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TestSuite suite = new TestSuite(SparseFieldMatrixTest.class);
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suite.setName("SparseFieldMatrix<Fraction> Tests");
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return suite;
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}
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/** test dimensions */
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public void testDimensions() {
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SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
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SparseFieldMatrix<Fraction> m2 = createSparseMatrix(testData2);
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assertEquals("testData row dimension", 3, m.getRowDimension());
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assertEquals("testData column dimension", 3, m.getColumnDimension());
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assertTrue("testData is square", m.isSquare());
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assertEquals("testData2 row dimension", m2.getRowDimension(), 2);
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assertEquals("testData2 column dimension", m2.getColumnDimension(), 3);
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assertTrue("testData2 is not square", !m2.isSquare());
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}
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/** test copy functions */
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public void testCopyFunctions() {
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SparseFieldMatrix<Fraction> m1 = createSparseMatrix(testData);
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FieldMatrix<Fraction> m2 = m1.copy();
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assertTrue(m2 instanceof SparseFieldMatrix);
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assertEquals((m2), m1);
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SparseFieldMatrix<Fraction> m3 = createSparseMatrix(testData);
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FieldMatrix<Fraction> m4 = m3.copy();
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assertTrue(m4 instanceof SparseFieldMatrix);
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assertEquals((m4), m3);
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}
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/** test add */
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public void testAdd() {
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SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
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SparseFieldMatrix<Fraction> mInv = createSparseMatrix(testDataInv);
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SparseFieldMatrix<Fraction> mDataPlusInv = createSparseMatrix(testDataPlusInv);
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FieldMatrix<Fraction> mPlusMInv = m.add(mInv);
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for (int row = 0; row < m.getRowDimension(); row++) {
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for (int col = 0; col < m.getColumnDimension(); col++) {
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assertEquals("sum entry entry",
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mDataPlusInv.getEntry(row, col).doubleValue(), mPlusMInv.getEntry(row, col).doubleValue(),
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entryTolerance);
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}
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}
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}
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/** test add failure */
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public void testAddFail() {
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SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
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SparseFieldMatrix<Fraction> m2 = createSparseMatrix(testData2);
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try {
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m.add(m2);
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fail("IllegalArgumentException expected");
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} catch (IllegalArgumentException ex) {
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// ignored
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}
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}
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/** test m-n = m + -n */
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public void testPlusMinus() {
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SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
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SparseFieldMatrix<Fraction> n = createSparseMatrix(testDataInv);
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assertClose("m-n = m + -n", m.subtract(n),
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n.scalarMultiply(new Fraction(-1)).add(m), entryTolerance);
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try {
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m.subtract(createSparseMatrix(testData2));
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fail("Expecting illegalArgumentException");
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} catch (IllegalArgumentException ex) {
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// ignored
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}
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}
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/** test multiply */
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public void testMultiply() {
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SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
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SparseFieldMatrix<Fraction> mInv = createSparseMatrix(testDataInv);
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SparseFieldMatrix<Fraction> identity = createSparseMatrix(id);
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SparseFieldMatrix<Fraction> m2 = createSparseMatrix(testData2);
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assertClose("inverse multiply", m.multiply(mInv), identity,
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entryTolerance);
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assertClose("inverse multiply", m.multiply(new FieldMatrixImpl<Fraction>(testDataInv)), identity,
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entryTolerance);
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assertClose("inverse multiply", mInv.multiply(m), identity,
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entryTolerance);
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assertClose("identity multiply", m.multiply(identity), m,
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entryTolerance);
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assertClose("identity multiply", identity.multiply(mInv), mInv,
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entryTolerance);
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assertClose("identity multiply", m2.multiply(identity), m2,
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entryTolerance);
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try {
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m.multiply(createSparseMatrix(bigSingular));
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fail("Expecting illegalArgumentException");
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} catch (IllegalArgumentException ex) {
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// ignored
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}
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}
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// Additional Test for RealMatrixImplTest.testMultiply
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private Fraction[][] d3 = new Fraction[][] { { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6), new Fraction(7), new Fraction(8) } };
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private Fraction[][] d4 = new Fraction[][] { { new Fraction(1) }, { new Fraction(2) }, { new Fraction(3) }, { new Fraction(4) } };
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private Fraction[][] d5 = new Fraction[][] { { new Fraction(30) }, { new Fraction(70) } };
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public void testMultiply2() {
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FieldMatrix<Fraction> m3 = createSparseMatrix(d3);
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FieldMatrix<Fraction> m4 = createSparseMatrix(d4);
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FieldMatrix<Fraction> m5 = createSparseMatrix(d5);
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assertClose("m3*m4=m5", m3.multiply(m4), m5, entryTolerance);
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}
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/** test trace */
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public void testTrace() {
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FieldMatrix<Fraction> m = createSparseMatrix(id);
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assertEquals("identity trace", 3d, m.getTrace().doubleValue(), entryTolerance);
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m = createSparseMatrix(testData2);
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try {
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m.getTrace();
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fail("Expecting NonSquareMatrixException");
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} catch (NonSquareMatrixException ex) {
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// ignored
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}
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}
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/** test sclarAdd */
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public void testScalarAdd() {
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FieldMatrix<Fraction> m = createSparseMatrix(testData);
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assertClose("scalar add", createSparseMatrix(testDataPlus2),
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m.scalarAdd(new Fraction(2)), entryTolerance);
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}
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/** test operate */
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public void testOperate() {
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FieldMatrix<Fraction> m = createSparseMatrix(id);
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assertClose("identity operate", testVector, m.operate(testVector),
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entryTolerance);
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assertClose("identity operate", testVector, m.operate(
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new FieldVectorImpl<Fraction>(testVector)).getData(), entryTolerance);
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m = createSparseMatrix(bigSingular);
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try {
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m.operate(testVector);
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fail("Expecting illegalArgumentException");
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} catch (IllegalArgumentException ex) {
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// ignored
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}
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}
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/** test issue MATH-209 */
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public void testMath209() {
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FieldMatrix<Fraction> a = createSparseMatrix(new Fraction[][] {
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{ new Fraction(1), new Fraction(2) }, { new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6) } });
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Fraction[] b = a.operate(new Fraction[] { new Fraction(1), new Fraction(1) });
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assertEquals(a.getRowDimension(), b.length);
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assertEquals(3.0, b[0].doubleValue(), 1.0e-12);
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assertEquals(7.0, b[1].doubleValue(), 1.0e-12);
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assertEquals(11.0, b[2].doubleValue(), 1.0e-12);
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}
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/** test transpose */
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public void testTranspose() {
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FieldMatrix<Fraction> m = createSparseMatrix(testData);
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FieldMatrix<Fraction> mIT = new FieldLUDecompositionImpl<Fraction>(m).getSolver().getInverse().transpose();
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FieldMatrix<Fraction> mTI = new FieldLUDecompositionImpl<Fraction>(m.transpose()).getSolver().getInverse();
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assertClose("inverse-transpose", mIT, mTI, normTolerance);
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m = createSparseMatrix(testData2);
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FieldMatrix<Fraction> mt = createSparseMatrix(testData2T);
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assertClose("transpose",mt,m.transpose(),normTolerance);
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}
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/** test preMultiply by vector */
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public void testPremultiplyVector() {
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FieldMatrix<Fraction> m = createSparseMatrix(testData);
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assertClose("premultiply", m.preMultiply(testVector), preMultTest,
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normTolerance);
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assertClose("premultiply", m.preMultiply(
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new FieldVectorImpl<Fraction>(testVector).getData()), preMultTest, normTolerance);
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m = createSparseMatrix(bigSingular);
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try {
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m.preMultiply(testVector);
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fail("expecting IllegalArgumentException");
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} catch (IllegalArgumentException ex) {
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// ignored
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}
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}
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public void testPremultiply() {
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FieldMatrix<Fraction> m3 = createSparseMatrix(d3);
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FieldMatrix<Fraction> m4 = createSparseMatrix(d4);
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FieldMatrix<Fraction> m5 = createSparseMatrix(d5);
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assertClose("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance);
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SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
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SparseFieldMatrix<Fraction> mInv = createSparseMatrix(testDataInv);
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SparseFieldMatrix<Fraction> identity = createSparseMatrix(id);
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assertClose("inverse multiply", m.preMultiply(mInv), identity,
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entryTolerance);
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assertClose("inverse multiply", mInv.preMultiply(m), identity,
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entryTolerance);
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assertClose("identity multiply", m.preMultiply(identity), m,
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entryTolerance);
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assertClose("identity multiply", identity.preMultiply(mInv), mInv,
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entryTolerance);
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try {
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m.preMultiply(createSparseMatrix(bigSingular));
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fail("Expecting illegalArgumentException");
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} catch (IllegalArgumentException ex) {
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// ignored
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}
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}
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public void testGetVectors() {
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FieldMatrix<Fraction> m = createSparseMatrix(testData);
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assertClose("get row", m.getRow(0), testDataRow1, entryTolerance);
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assertClose("get col", m.getColumn(2), testDataCol3, entryTolerance);
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try {
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m.getRow(10);
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fail("expecting MatrixIndexException");
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} catch (MatrixIndexException ex) {
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// ignored
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}
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try {
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m.getColumn(-1);
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fail("expecting MatrixIndexException");
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} catch (MatrixIndexException ex) {
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// ignored
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}
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}
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public void testGetEntry() {
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FieldMatrix<Fraction> m = createSparseMatrix(testData);
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assertEquals("get entry", m.getEntry(0, 1).doubleValue(), 2d, entryTolerance);
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try {
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m.getEntry(10, 4);
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fail("Expecting MatrixIndexException");
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} catch (MatrixIndexException ex) {
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// expected
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}
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}
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/** test examples in user guide */
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public void testExamples() {
|
||||
// Create a real matrix with two rows and three columns
|
||||
Fraction[][] matrixData = { { new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(5), new Fraction(3) } };
|
||||
FieldMatrix<Fraction> m = createSparseMatrix(matrixData);
|
||||
// One more with three rows, two columns
|
||||
Fraction[][] matrixData2 = { { new Fraction(1), new Fraction(2) }, { new Fraction(2), new Fraction(5) }, { new Fraction(1), new Fraction(7) } };
|
||||
FieldMatrix<Fraction> n = createSparseMatrix(matrixData2);
|
||||
// Now multiply m by n
|
||||
FieldMatrix<Fraction> p = m.multiply(n);
|
||||
assertEquals(2, p.getRowDimension());
|
||||
assertEquals(2, p.getColumnDimension());
|
||||
// Invert p
|
||||
FieldMatrix<Fraction> pInverse = new FieldLUDecompositionImpl<Fraction>(p).getSolver().getInverse();
|
||||
assertEquals(2, pInverse.getRowDimension());
|
||||
assertEquals(2, pInverse.getColumnDimension());
|
||||
|
||||
// Solve example
|
||||
Fraction[][] coefficientsData = { { new Fraction(2), new Fraction(3), new Fraction(-2) }, { new Fraction(-1), new Fraction(7), new Fraction(6) },
|
||||
{ new Fraction(4), new Fraction(-3), new Fraction(-5) } };
|
||||
FieldMatrix<Fraction> coefficients = createSparseMatrix(coefficientsData);
|
||||
Fraction[] constants = { new Fraction(1), new Fraction(-2), new Fraction(1) };
|
||||
Fraction[] solution = new FieldLUDecompositionImpl<Fraction>(coefficients).getSolver().solve(constants);
|
||||
assertEquals((new Fraction(2).multiply((solution[0])).add(new Fraction(3).multiply(solution[1])).subtract(new Fraction(2).multiply(solution[2]))).doubleValue(),
|
||||
constants[0].doubleValue(), 1E-12);
|
||||
assertEquals(((new Fraction(-1).multiply(solution[0])).add(new Fraction(7).multiply(solution[1])).add(new Fraction(6).multiply(solution[2]))).doubleValue(),
|
||||
constants[1].doubleValue(), 1E-12);
|
||||
assertEquals(((new Fraction(4).multiply(solution[0])).subtract(new Fraction(3).multiply( solution[1])).subtract(new Fraction(5).multiply(solution[2]))).doubleValue(),
|
||||
constants[2].doubleValue(), 1E-12);
|
||||
|
||||
}
|
||||
|
||||
// test submatrix accessors
|
||||
public void testSubMatrix() {
|
||||
FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
|
||||
FieldMatrix<Fraction> mRows23Cols00 = createSparseMatrix(subRows23Cols00);
|
||||
FieldMatrix<Fraction> mRows00Cols33 = createSparseMatrix(subRows00Cols33);
|
||||
FieldMatrix<Fraction> mRows01Cols23 = createSparseMatrix(subRows01Cols23);
|
||||
FieldMatrix<Fraction> mRows02Cols13 = createSparseMatrix(subRows02Cols13);
|
||||
FieldMatrix<Fraction> mRows03Cols12 = createSparseMatrix(subRows03Cols12);
|
||||
FieldMatrix<Fraction> mRows03Cols123 = createSparseMatrix(subRows03Cols123);
|
||||
FieldMatrix<Fraction> mRows20Cols123 = createSparseMatrix(subRows20Cols123);
|
||||
FieldMatrix<Fraction> mRows31Cols31 = createSparseMatrix(subRows31Cols31);
|
||||
assertEquals("Rows23Cols00", mRows23Cols00, m.getSubMatrix(2, 3, 0, 0));
|
||||
assertEquals("Rows00Cols33", mRows00Cols33, m.getSubMatrix(0, 0, 3, 3));
|
||||
assertEquals("Rows01Cols23", mRows01Cols23, m.getSubMatrix(0, 1, 2, 3));
|
||||
assertEquals("Rows02Cols13", mRows02Cols13,
|
||||
m.getSubMatrix(new int[] { 0, 2 }, new int[] { 1, 3 }));
|
||||
assertEquals("Rows03Cols12", mRows03Cols12,
|
||||
m.getSubMatrix(new int[] { 0, 3 }, new int[] { 1, 2 }));
|
||||
assertEquals("Rows03Cols123", mRows03Cols123,
|
||||
m.getSubMatrix(new int[] { 0, 3 }, new int[] { 1, 2, 3 }));
|
||||
assertEquals("Rows20Cols123", mRows20Cols123,
|
||||
m.getSubMatrix(new int[] { 2, 0 }, new int[] { 1, 2, 3 }));
|
||||
assertEquals("Rows31Cols31", mRows31Cols31,
|
||||
m.getSubMatrix(new int[] { 3, 1 }, new int[] { 3, 1 }));
|
||||
assertEquals("Rows31Cols31", mRows31Cols31,
|
||||
m.getSubMatrix(new int[] { 3, 1 }, new int[] { 3, 1 }));
|
||||
|
||||
try {
|
||||
m.getSubMatrix(1, 0, 2, 4);
|
||||
fail("Expecting MatrixIndexException");
|
||||
} catch (MatrixIndexException ex) {
|
||||
// expected
|
||||
}
|
||||
try {
|
||||
m.getSubMatrix(-1, 1, 2, 2);
|
||||
fail("Expecting MatrixIndexException");
|
||||
} catch (MatrixIndexException ex) {
|
||||
// expected
|
||||
}
|
||||
try {
|
||||
m.getSubMatrix(1, 0, 2, 2);
|
||||
fail("Expecting MatrixIndexException");
|
||||
} catch (MatrixIndexException ex) {
|
||||
// expected
|
||||
}
|
||||
try {
|
||||
m.getSubMatrix(1, 0, 2, 4);
|
||||
fail("Expecting MatrixIndexException");
|
||||
} catch (MatrixIndexException ex) {
|
||||
// expected
|
||||
}
|
||||
try {
|
||||
m.getSubMatrix(new int[] {}, new int[] { 0 });
|
||||
fail("Expecting MatrixIndexException");
|
||||
} catch (MatrixIndexException ex) {
|
||||
// expected
|
||||
}
|
||||
try {
|
||||
m.getSubMatrix(new int[] { 0 }, new int[] { 4 });
|
||||
fail("Expecting MatrixIndexException");
|
||||
} catch (MatrixIndexException ex) {
|
||||
// expected
|
||||
}
|
||||
}
|
||||
|
||||
public void testGetRowMatrix() {
|
||||
FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
|
||||
FieldMatrix<Fraction> mRow0 = createSparseMatrix(subRow0);
|
||||
FieldMatrix<Fraction> mRow3 = createSparseMatrix(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 testGetColumnMatrix() {
|
||||
FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
|
||||
FieldMatrix<Fraction> mColumn1 = createSparseMatrix(subColumn1);
|
||||
FieldMatrix<Fraction> mColumn3 = createSparseMatrix(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 testGetRowVector() {
|
||||
FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
|
||||
FieldVector<Fraction> mRow0 = new FieldVectorImpl<Fraction>(subRow0[0]);
|
||||
FieldVector<Fraction> mRow3 = new FieldVectorImpl<Fraction>(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 testGetColumnVector() {
|
||||
FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
|
||||
FieldVector<Fraction> mColumn1 = columnToVector(subColumn1);
|
||||
FieldVector<Fraction> 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
|
||||
}
|
||||
}
|
||||
|
||||
private FieldVector<Fraction> columnToVector(Fraction[][] column) {
|
||||
Fraction[] data = new Fraction[column.length];
|
||||
for (int i = 0; i < data.length; ++i) {
|
||||
data[i] = column[i][0];
|
||||
}
|
||||
return new FieldVectorImpl<Fraction>(data, false);
|
||||
}
|
||||
|
||||
public void testEqualsAndHashCode() {
|
||||
SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
|
||||
SparseFieldMatrix<Fraction> m1 = (SparseFieldMatrix<Fraction>) m.copy();
|
||||
SparseFieldMatrix<Fraction> mt = (SparseFieldMatrix<Fraction>) 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(createSparseMatrix(bigSingular)));
|
||||
}
|
||||
|
||||
/* Disable for now
|
||||
public void testToString() {
|
||||
SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
|
||||
assertEquals("SparseFieldMatrix<Fraction>{{1.0,2.0,3.0},{2.0,5.0,3.0},{1.0,0.0,8.0}}",
|
||||
m.toString());
|
||||
m = new SparseFieldMatrix<Fraction>(field, 1, 1);
|
||||
assertEquals("SparseFieldMatrix<Fraction>{{0.0}}", m.toString());
|
||||
}
|
||||
*/
|
||||
|
||||
public void testSetSubMatrix() throws Exception {
|
||||
SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
|
||||
m.setSubMatrix(detData2, 1, 1);
|
||||
FieldMatrix<Fraction> expected = createSparseMatrix(new Fraction[][] {
|
||||
{ new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(1), new Fraction(3) }, { new Fraction(1), new Fraction(2), new Fraction(4) } });
|
||||
assertEquals(expected, m);
|
||||
|
||||
m.setSubMatrix(detData2, 0, 0);
|
||||
expected = createSparseMatrix(new Fraction[][] {
|
||||
{ new Fraction(1), new Fraction(3), new Fraction(3) }, { new Fraction(2), new Fraction(4), new Fraction(3) }, { new Fraction(1), new Fraction(2), new Fraction(4) } });
|
||||
assertEquals(expected, m);
|
||||
|
||||
m.setSubMatrix(testDataPlus2, 0, 0);
|
||||
expected = createSparseMatrix(new Fraction[][] {
|
||||
{ new Fraction(3), new Fraction(4), new Fraction(5) }, { new Fraction(4), new Fraction(7), new Fraction(5) }, { new Fraction(3), new Fraction(2), new Fraction(10) } });
|
||||
assertEquals(expected, m);
|
||||
|
||||
// javadoc example
|
||||
SparseFieldMatrix<Fraction> matrix =
|
||||
createSparseMatrix(new Fraction[][] {
|
||||
{ new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6), new Fraction(7), new Fraction(8) }, { new Fraction(9), new Fraction(0), new Fraction(1), new Fraction(2) } });
|
||||
matrix.setSubMatrix(new Fraction[][] { { new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6) } }, 1, 1);
|
||||
expected = createSparseMatrix(new Fraction[][] {
|
||||
{ new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(3), new Fraction(4), new Fraction(8) }, { new Fraction(9), new Fraction(5), new Fraction(6), new Fraction(2) } });
|
||||
assertEquals(expected, matrix);
|
||||
|
||||
// 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
|
||||
}
|
||||
try {
|
||||
new SparseFieldMatrix<Fraction>(field, 0, 0);
|
||||
fail("expecting IllegalArgumentException");
|
||||
} catch (IllegalArgumentException e) {
|
||||
// expected
|
||||
}
|
||||
|
||||
// ragged
|
||||
try {
|
||||
m.setSubMatrix(new Fraction[][] { { new Fraction(1) }, { new Fraction(2), new Fraction(3) } }, 0, 0);
|
||||
fail("expecting IllegalArgumentException");
|
||||
} catch (IllegalArgumentException e) {
|
||||
// expected
|
||||
}
|
||||
|
||||
// empty
|
||||
try {
|
||||
m.setSubMatrix(new Fraction[][] { {} }, 0, 0);
|
||||
fail("expecting IllegalArgumentException");
|
||||
} catch (IllegalArgumentException e) {
|
||||
// expected
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
// --------------- -----------------Protected methods
|
||||
|
||||
/** verifies that two matrices are close (1-norm) */
|
||||
protected void assertClose(String msg, FieldMatrix<Fraction> m, FieldMatrix<Fraction> n,
|
||||
double tolerance) {
|
||||
for(int i=0; i < m.getRowDimension(); i++){
|
||||
for(int j=0; j < m.getColumnDimension(); j++){
|
||||
assertEquals(msg, m.getEntry(i,j).doubleValue(), n.getEntry(i,j).doubleValue(), tolerance);
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
/** verifies that two vectors are close (sup norm) */
|
||||
protected void assertClose(String msg, Fraction[] m, Fraction[] n,
|
||||
double tolerance) {
|
||||
if (m.length != n.length) {
|
||||
fail("vectors not same length");
|
||||
}
|
||||
for (int i = 0; i < m.length; i++) {
|
||||
assertEquals(msg + " " + i + " elements differ", m[i].doubleValue(), n[i].doubleValue(),
|
||||
tolerance);
|
||||
}
|
||||
}
|
||||
|
||||
private SparseFieldMatrix<Fraction> createSparseMatrix(Fraction[][] data) {
|
||||
SparseFieldMatrix<Fraction> matrix = new SparseFieldMatrix<Fraction>(field, data.length, data[0].length);
|
||||
for (int row = 0; row < data.length; row++) {
|
||||
for (int col = 0; col < data[row].length; col++) {
|
||||
matrix.setEntry(row, col, data[row][col]);
|
||||
}
|
||||
}
|
||||
return matrix;
|
||||
}
|
||||
|
||||
}
|
||||
Loading…
Reference in New Issue