You are viewing a plain text version of this content. The canonical link for it is here.
Posted to commits@commons.apache.org by lu...@apache.org on 2009/04/20 22:19:49 UTC
svn commit: r766852 [2/2] - in /commons/proper/math/trunk/src:
java/org/apache/commons/math/linear/DenseFieldMatrix.java
java/org/apache/commons/math/linear/MatrixUtils.java
test/org/apache/commons/math/linear/DenseFieldMatrixTest.java
Added: commons/proper/math/trunk/src/test/org/apache/commons/math/linear/DenseFieldMatrixTest.java
URL: http://svn.apache.org/viewvc/commons/proper/math/trunk/src/test/org/apache/commons/math/linear/DenseFieldMatrixTest.java?rev=766852&view=auto
==============================================================================
--- commons/proper/math/trunk/src/test/org/apache/commons/math/linear/DenseFieldMatrixTest.java (added)
+++ commons/proper/math/trunk/src/test/org/apache/commons/math/linear/DenseFieldMatrixTest.java Mon Apr 20 20:19:49 2009
@@ -0,0 +1,1294 @@
+/*
+ * 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 java.util.Arrays;
+import java.util.Random;
+
+import junit.framework.Test;
+import junit.framework.TestCase;
+import junit.framework.TestSuite;
+
+import org.apache.commons.math.TestUtils;
+import org.apache.commons.math.fraction.Fraction;
+import org.apache.commons.math.fraction.FractionField;
+import org.apache.commons.math.linear.decomposition.FieldLUDecompositionImpl;
+import org.apache.commons.math.linear.decomposition.NonSquareMatrixException;
+
+/**
+ * Test cases for the {@link DenseFieldMatrix} class.
+ *
+ * @version $Revision$ $Date$
+ */
+
+public final class DenseFieldMatrixTest extends TestCase {
+
+ // 3 x 3 identity matrix
+ 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)}
+ };
+
+ // Test data for group operations
+ protected 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)}
+ };
+ protected Fraction[][] testDataLU = {
+ {new Fraction(2), new Fraction(5), new Fraction(3)},
+ {new Fraction(1, 2), new Fraction(-5, 2), new Fraction(13, 2)},
+ {new Fraction(1, 2), new Fraction(1, 5), new Fraction(1, 5)}
+ };
+ protected Fraction[][] testDataPlus2 = {
+ {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)}
+ };
+ protected 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)}
+ };
+ protected Fraction[] testDataRow1 = {new Fraction(1),new Fraction(2),new Fraction(3)};
+ protected Fraction[] testDataCol3 = {new Fraction(3),new Fraction(3),new Fraction(8)};
+ protected Fraction[][] testDataInv = {
+ {new Fraction(-40),new Fraction(16),new Fraction(9)},
+ {new Fraction(13),new Fraction(-5),new Fraction(-3)},
+ {new Fraction(5),new Fraction(-2),new Fraction(-1)}
+ };
+ protected Fraction[] preMultTest = {new Fraction(8), new Fraction(12), new Fraction(33)};
+ protected Fraction[][] testData2 = {
+ {new Fraction(1),new Fraction(2),new Fraction(3)},
+ {new Fraction(2),new Fraction(5),new Fraction(3)}
+ };
+ protected Fraction[][] testData2T = {
+ {new Fraction(1),new Fraction(2)},
+ {new Fraction(2),new Fraction(5)},
+ {new Fraction(3),new Fraction(3)}
+ };
+ protected Fraction[][] testDataPlusInv = {
+ {new Fraction(-39),new Fraction(18),new Fraction(12)},
+ {new Fraction(15),new Fraction(0),new Fraction(0)},
+ {new Fraction(6),new Fraction(-2),new Fraction(7)}
+ };
+
+ // lu decomposition tests
+ 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)}
+ };
+ protected Fraction[][] luDataLUDecomposition = {
+ {new Fraction(6),new Fraction(9),new Fraction(8)},
+ {new Fraction(0),new Fraction(5),new Fraction(7)},
+ {new Fraction(1, 3),new Fraction(0),new Fraction(1, 3)}
+ };
+
+ // singular matrices
+ protected Fraction[][] singular = { {new Fraction(2),new Fraction(3)}, {new Fraction(2),new Fraction(3)} };
+ protected 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
+ protected Fraction[][] detData = {
+ {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(10)}
+ };
+ protected Fraction[][] detData2 = { {new Fraction(1), new Fraction(3)}, {new Fraction(2), new Fraction(4)}};
+
+ // vectors
+ protected Fraction[] testVector = {new Fraction(1),new Fraction(2),new Fraction(3)};
+ protected Fraction[] testVector2 = {new Fraction(1),new Fraction(2),new Fraction(3),new Fraction(4)};
+
+ // submatrix accessor tests
+ protected Fraction[][] subTestData = {
+ {new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4)},
+ {new Fraction(3, 2), new Fraction(5, 2), new Fraction(7, 2), new Fraction(9, 2)},
+ {new Fraction(2), new Fraction(4), new Fraction(6), new Fraction(8)},
+ {new Fraction(4), new Fraction(5), new Fraction(6), new Fraction(7)}
+ };
+ // array selections
+ protected Fraction[][] subRows02Cols13 = { {new Fraction(2), new Fraction(4)}, {new Fraction(4), new Fraction(8)}};
+ protected Fraction[][] subRows03Cols12 = { {new Fraction(2), new Fraction(3)}, {new Fraction(5), new Fraction(6)}};
+ protected Fraction[][] subRows03Cols123 = {
+ {new Fraction(2), new Fraction(3), new Fraction(4)},
+ {new Fraction(5), new Fraction(6), new Fraction(7)}
+ };
+ // effective permutations
+ protected Fraction[][] subRows20Cols123 = {
+ {new Fraction(4), new Fraction(6), new Fraction(8)},
+ {new Fraction(2), new Fraction(3), new Fraction(4)}
+ };
+ protected Fraction[][] subRows31Cols31 = {{new Fraction(7), new Fraction(5)}, {new Fraction(9, 2), new Fraction(5, 2)}};
+ // contiguous ranges
+ protected Fraction[][] subRows01Cols23 = {{new Fraction(3),new Fraction(4)} , {new Fraction(7, 2), new Fraction(9, 2)}};
+ protected Fraction[][] subRows23Cols00 = {{new Fraction(2)} , {new Fraction(4)}};
+ protected Fraction[][] subRows00Cols33 = {{new Fraction(4)}};
+ // row matrices
+ protected Fraction[][] subRow0 = {{new Fraction(1),new Fraction(2),new Fraction(3),new Fraction(4)}};
+ protected Fraction[][] subRow3 = {{new Fraction(4),new Fraction(5),new Fraction(6),new Fraction(7)}};
+ // column matrices
+ protected Fraction[][] subColumn1 = {{new Fraction(2)}, {new Fraction(5, 2)}, {new Fraction(4)}, {new Fraction(5)}};
+ protected Fraction[][] subColumn3 = {{new Fraction(4)}, {new Fraction(9, 2)}, {new Fraction(8)}, {new Fraction(7)}};
+
+ // tolerances
+ protected double entryTolerance = 10E-16;
+ protected double normTolerance = 10E-14;
+
+ public DenseFieldMatrixTest(String name) {
+ super(name);
+ }
+
+ public static Test suite() {
+ TestSuite suite = new TestSuite(DenseFieldMatrixTest.class);
+ suite.setName("DenseFieldMatrix<Fraction> Tests");
+ return suite;
+ }
+
+ /** test dimensions */
+ public void testDimensions() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> m2 = new DenseFieldMatrix<Fraction>(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() {
+ Random r = new Random(66636328996002l);
+ DenseFieldMatrix<Fraction> m1 = createRandomMatrix(r, 47, 83);
+ DenseFieldMatrix<Fraction> m2 = new DenseFieldMatrix<Fraction>(m1.getData());
+ assertEquals(m1, m2);
+ DenseFieldMatrix<Fraction> m3 = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> m4 = new DenseFieldMatrix<Fraction>(m3.getData());
+ assertEquals(m3, m4);
+ }
+
+ /** test add */
+ public void testAdd() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> mInv = new DenseFieldMatrix<Fraction>(testDataInv);
+ FieldMatrix<Fraction> mPlusMInv = m.add(mInv);
+ Fraction[][] sumEntries = mPlusMInv.getData();
+ for (int row = 0; row < m.getRowDimension(); row++) {
+ for (int col = 0; col < m.getColumnDimension(); col++) {
+ assertEquals(testDataPlusInv[row][col],sumEntries[row][col]);
+ }
+ }
+ }
+
+ /** test add failure */
+ public void testAddFail() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> m2 = new DenseFieldMatrix<Fraction>(testData2);
+ try {
+ m.add(m2);
+ fail("IllegalArgumentException expected");
+ } catch (IllegalArgumentException ex) {
+ // ignored
+ }
+ }
+
+ /** test m-n = m + -n */
+ public void testPlusMinus() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> m2 = new DenseFieldMatrix<Fraction>(testDataInv);
+ TestUtils.assertEquals(m.subtract(m2), m2.scalarMultiply(new Fraction(-1)).add(m));
+ try {
+ m.subtract(new DenseFieldMatrix<Fraction>(testData2));
+ fail("Expecting illegalArgumentException");
+ } catch (IllegalArgumentException ex) {
+ // ignored
+ }
+ }
+
+ /** test multiply */
+ public void testMultiply() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> mInv = new DenseFieldMatrix<Fraction>(testDataInv);
+ DenseFieldMatrix<Fraction> identity = new DenseFieldMatrix<Fraction>(id);
+ DenseFieldMatrix<Fraction> m2 = new DenseFieldMatrix<Fraction>(testData2);
+ TestUtils.assertEquals(m.multiply(mInv), identity);
+ TestUtils.assertEquals(mInv.multiply(m), identity);
+ TestUtils.assertEquals(m.multiply(identity), m);
+ TestUtils.assertEquals(identity.multiply(mInv), mInv);
+ TestUtils.assertEquals(m2.multiply(identity), m2);
+ try {
+ m.multiply(new DenseFieldMatrix<Fraction>(bigSingular));
+ fail("Expecting illegalArgumentException");
+ } catch (IllegalArgumentException ex) {
+ // expected
+ }
+ }
+
+ public void testSeveralBlocks() {
+
+ FieldMatrix<Fraction> m =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), 37, 41);
+ for (int i = 0; i < m.getRowDimension(); ++i) {
+ for (int j = 0; j < m.getColumnDimension(); ++j) {
+ m.setEntry(i, j, new Fraction(i * 11 + j, 11));
+ }
+ }
+
+ FieldMatrix<Fraction> mT = m.transpose();
+ assertEquals(m.getRowDimension(), mT.getColumnDimension());
+ assertEquals(m.getColumnDimension(), mT.getRowDimension());
+ for (int i = 0; i < mT.getRowDimension(); ++i) {
+ for (int j = 0; j < mT.getColumnDimension(); ++j) {
+ assertEquals(m.getEntry(j, i), mT.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> mPm = m.add(m);
+ for (int i = 0; i < mPm.getRowDimension(); ++i) {
+ for (int j = 0; j < mPm.getColumnDimension(); ++j) {
+ assertEquals(m.getEntry(i, j).multiply(new Fraction(2)), mPm.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> mPmMm = mPm.subtract(m);
+ for (int i = 0; i < mPmMm.getRowDimension(); ++i) {
+ for (int j = 0; j < mPmMm.getColumnDimension(); ++j) {
+ assertEquals(m.getEntry(i, j), mPmMm.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> mTm = mT.multiply(m);
+ for (int i = 0; i < mTm.getRowDimension(); ++i) {
+ for (int j = 0; j < mTm.getColumnDimension(); ++j) {
+ Fraction sum = Fraction.ZERO;
+ for (int k = 0; k < mT.getColumnDimension(); ++k) {
+ sum = sum.add(new Fraction(k * 11 + i, 11).multiply(new Fraction(k * 11 + j, 11)));
+ }
+ assertEquals(sum, mTm.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> mmT = m.multiply(mT);
+ for (int i = 0; i < mmT.getRowDimension(); ++i) {
+ for (int j = 0; j < mmT.getColumnDimension(); ++j) {
+ Fraction sum = Fraction.ZERO;
+ for (int k = 0; k < m.getColumnDimension(); ++k) {
+ sum = sum.add(new Fraction(i * 11 + k, 11).multiply(new Fraction(j * 11 + k, 11)));
+ }
+ assertEquals(sum, mmT.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> sub1 = m.getSubMatrix(2, 9, 5, 20);
+ for (int i = 0; i < sub1.getRowDimension(); ++i) {
+ for (int j = 0; j < sub1.getColumnDimension(); ++j) {
+ assertEquals(new Fraction((i + 2) * 11 + (j + 5), 11), sub1.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> sub2 = m.getSubMatrix(10, 12, 3, 40);
+ for (int i = 0; i < sub2.getRowDimension(); ++i) {
+ for (int j = 0; j < sub2.getColumnDimension(); ++j) {
+ assertEquals(new Fraction((i + 10) * 11 + (j + 3), 11), sub2.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> sub3 = m.getSubMatrix(30, 34, 0, 5);
+ for (int i = 0; i < sub3.getRowDimension(); ++i) {
+ for (int j = 0; j < sub3.getColumnDimension(); ++j) {
+ assertEquals(new Fraction((i + 30) * 11 + (j + 0), 11), sub3.getEntry(i, j));
+ }
+ }
+
+ FieldMatrix<Fraction> sub4 = m.getSubMatrix(30, 32, 32, 35);
+ for (int i = 0; i < sub4.getRowDimension(); ++i) {
+ for (int j = 0; j < sub4.getColumnDimension(); ++j) {
+ assertEquals(new Fraction((i + 30) * 11 + (j + 32), 11), sub4.getEntry(i, j));
+ }
+ }
+
+ }
+
+ //Additional Test for DenseFieldMatrix<Fraction>Test.testMultiply
+
+ 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)}
+ };
+ private Fraction[][] d4 = new Fraction[][] {
+ {new Fraction(1)},
+ {new Fraction(2)},
+ {new Fraction(3)},
+ {new Fraction(4)}
+ };
+ private Fraction[][] d5 = new Fraction[][] {{new Fraction(30)},{new Fraction(70)}};
+
+ public void testMultiply2() {
+ FieldMatrix<Fraction> m3 = new DenseFieldMatrix<Fraction>(d3);
+ FieldMatrix<Fraction> m4 = new DenseFieldMatrix<Fraction>(d4);
+ FieldMatrix<Fraction> m5 = new DenseFieldMatrix<Fraction>(d5);
+ TestUtils.assertEquals(m3.multiply(m4), m5);
+ }
+
+ /** test trace */
+ public void testTrace() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(id);
+ assertEquals(new Fraction(3),m.getTrace());
+ m = new DenseFieldMatrix<Fraction>(testData2);
+ try {
+ m.getTrace();
+ fail("Expecting NonSquareMatrixException");
+ } catch (NonSquareMatrixException ex) {
+ // ignored
+ }
+ }
+
+ /** test scalarAdd */
+ public void testScalarAdd() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ TestUtils.assertEquals(new DenseFieldMatrix<Fraction>(testDataPlus2),
+ m.scalarAdd(new Fraction(2)));
+ }
+
+ /** test operate */
+ public void testOperate() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(id);
+ TestUtils.assertEquals(testVector, m.operate(testVector));
+ TestUtils.assertEquals(testVector, m.operate(new FieldVectorImpl<Fraction>(testVector)).getData());
+ m = new DenseFieldMatrix<Fraction>(bigSingular);
+ try {
+ m.operate(testVector);
+ fail("Expecting illegalArgumentException");
+ } catch (IllegalArgumentException ex) {
+ // ignored
+ }
+ }
+
+ public void testOperateLarge() {
+ int p = (3 * DenseFieldMatrix.BLOCK_SIZE) / 2;
+ int q = (5 * DenseFieldMatrix.BLOCK_SIZE) / 2;
+ int r = 2 * DenseFieldMatrix.BLOCK_SIZE;
+ Random random = new Random(111007463902334l);
+ FieldMatrix<Fraction> m1 = createRandomMatrix(random, p, q);
+ FieldMatrix<Fraction> m2 = createRandomMatrix(random, q, r);
+ FieldMatrix<Fraction> m1m2 = m1.multiply(m2);
+ for (int i = 0; i < r; ++i) {
+ TestUtils.assertEquals(m1m2.getColumn(i), m1.operate(m2.getColumn(i)));
+ }
+ }
+
+ public void testOperatePremultiplyLarge() {
+ int p = (3 * DenseFieldMatrix.BLOCK_SIZE) / 2;
+ int q = (5 * DenseFieldMatrix.BLOCK_SIZE) / 2;
+ int r = 2 * DenseFieldMatrix.BLOCK_SIZE;
+ Random random = new Random(111007463902334l);
+ FieldMatrix<Fraction> m1 = createRandomMatrix(random, p, q);
+ FieldMatrix<Fraction> m2 = createRandomMatrix(random, q, r);
+ FieldMatrix<Fraction> m1m2 = m1.multiply(m2);
+ for (int i = 0; i < p; ++i) {
+ TestUtils.assertEquals(m1m2.getRow(i), m2.preMultiply(m1.getRow(i)));
+ }
+ }
+
+ /** test issue MATH-209 */
+ public void testMath209() {
+ FieldMatrix<Fraction> a = new DenseFieldMatrix<Fraction>(new Fraction[][] {
+ { new Fraction(1), new Fraction(2) },
+ { new Fraction(3), new Fraction(4) },
+ { new Fraction(5), new Fraction(6) }
+ });
+ Fraction[] b = a.operate(new Fraction[] { new Fraction(1), new Fraction(1) });
+ assertEquals(a.getRowDimension(), b.length);
+ assertEquals( new Fraction(3), b[0]);
+ assertEquals( new Fraction(7), b[1]);
+ assertEquals(new Fraction(11), b[2]);
+ }
+
+ /** test transpose */
+ public void testTranspose() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ FieldMatrix<Fraction> mIT = new FieldLUDecompositionImpl<Fraction>(m).getSolver().getInverse().transpose();
+ FieldMatrix<Fraction> mTI = new FieldLUDecompositionImpl<Fraction>(m.transpose()).getSolver().getInverse();
+ TestUtils.assertEquals(mIT, mTI);
+ m = new DenseFieldMatrix<Fraction>(testData2);
+ FieldMatrix<Fraction> mt = new DenseFieldMatrix<Fraction>(testData2T);
+ TestUtils.assertEquals(mt, m.transpose());
+ }
+
+ /** test preMultiply by vector */
+ public void testPremultiplyVector() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ TestUtils.assertEquals(m.preMultiply(testVector), preMultTest);
+ TestUtils.assertEquals(m.preMultiply(new FieldVectorImpl<Fraction>(testVector).getData()),
+ preMultTest);
+ m = new DenseFieldMatrix<Fraction>(bigSingular);
+ try {
+ m.preMultiply(testVector);
+ fail("expecting IllegalArgumentException");
+ } catch (IllegalArgumentException ex) {
+ // ignored
+ }
+ }
+
+ public void testPremultiply() {
+ FieldMatrix<Fraction> m3 = new DenseFieldMatrix<Fraction>(d3);
+ FieldMatrix<Fraction> m4 = new DenseFieldMatrix<Fraction>(d4);
+ FieldMatrix<Fraction> m5 = new DenseFieldMatrix<Fraction>(d5);
+ TestUtils.assertEquals(m4.preMultiply(m3), m5);
+
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> mInv = new DenseFieldMatrix<Fraction>(testDataInv);
+ DenseFieldMatrix<Fraction> identity = new DenseFieldMatrix<Fraction>(id);
+ TestUtils.assertEquals(m.preMultiply(mInv), identity);
+ TestUtils.assertEquals(mInv.preMultiply(m), identity);
+ TestUtils.assertEquals(m.preMultiply(identity), m);
+ TestUtils.assertEquals(identity.preMultiply(mInv), mInv);
+ try {
+ m.preMultiply(new DenseFieldMatrix<Fraction>(bigSingular));
+ fail("Expecting illegalArgumentException");
+ } catch (IllegalArgumentException ex) {
+ // ignored
+ }
+ }
+
+ public void testGetVectors() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ TestUtils.assertEquals(m.getRow(0), testDataRow1);
+ TestUtils.assertEquals(m.getColumn(2), testDataCol3);
+ 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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ assertEquals(m.getEntry(0,1),new Fraction(2));
+ 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
+ Fraction[][] matrixData = {
+ {new Fraction(1),new Fraction(2),new Fraction(3)},
+ {new Fraction(2),new Fraction(5),new Fraction(3)}
+ };
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(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 = new DenseFieldMatrix<Fraction>(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 = new DenseFieldMatrix<Fraction>(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])),
+ constants[0]);
+ assertEquals(new Fraction(-1).multiply(solution[0]).
+ add(new Fraction(7).multiply(solution[1])).
+ add(new Fraction(6).multiply(solution[2])),
+ constants[1]);
+ assertEquals(new Fraction(4).multiply(solution[0]).
+ subtract(new Fraction(3).multiply(solution[1])).
+ subtract(new Fraction(5).multiply(solution[2])),
+ constants[2]);
+
+ }
+
+ // test submatrix accessors
+ public void testGetSubMatrix() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(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(FieldMatrix<Fraction> m, Fraction[][] reference,
+ int startRow, int endRow, int startColumn, int endColumn,
+ boolean mustFail) {
+ try {
+ FieldMatrix<Fraction> sub = m.getSubMatrix(startRow, endRow, startColumn, endColumn);
+ assertEquals(new DenseFieldMatrix<Fraction>(reference), sub);
+ if (mustFail) {
+ fail("Expecting MatrixIndexException");
+ }
+ } catch (MatrixIndexException e) {
+ if (!mustFail) {
+ throw e;
+ }
+ }
+ }
+
+ private void checkGetSubMatrix(FieldMatrix<Fraction> m, Fraction[][] reference,
+ int[] selectedRows, int[] selectedColumns,
+ boolean mustFail) {
+ try {
+ FieldMatrix<Fraction> sub = m.getSubMatrix(selectedRows, selectedColumns);
+ assertEquals(new DenseFieldMatrix<Fraction>(reference), sub);
+ if (mustFail) {
+ fail("Expecting MatrixIndexException");
+ }
+ } catch (MatrixIndexException e) {
+ if (!mustFail) {
+ throw e;
+ }
+ }
+ }
+
+ public void testGetSetMatrixLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ FieldMatrix<Fraction> sub =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n - 4, n - 4).scalarAdd(new Fraction(1));
+
+ m.setSubMatrix(sub.getData(), 2, 2);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if ((i < 2) || (i > n - 3) || (j < 2) || (j > n - 3)) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ assertEquals(sub, m.getSubMatrix(2, n - 3, 2, n - 3));
+
+ }
+
+ public void testCopySubMatrix() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(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(FieldMatrix<Fraction> m, Fraction[][] reference,
+ int startRow, int endRow, int startColumn, int endColumn,
+ boolean mustFail) {
+ try {
+ Fraction[][] sub = (reference == null) ?
+ new Fraction[1][1] :
+ new Fraction[reference.length][reference[0].length];
+ m.copySubMatrix(startRow, endRow, startColumn, endColumn, sub);
+ assertEquals(new DenseFieldMatrix<Fraction>(reference), new DenseFieldMatrix<Fraction>(sub));
+ if (mustFail) {
+ fail("Expecting MatrixIndexException");
+ }
+ } catch (MatrixIndexException e) {
+ if (!mustFail) {
+ throw e;
+ }
+ }
+ }
+
+ private void checkCopy(FieldMatrix<Fraction> m, Fraction[][] reference,
+ int[] selectedRows, int[] selectedColumns,
+ boolean mustFail) {
+ try {
+ Fraction[][] sub = (reference == null) ?
+ new Fraction[1][1] :
+ new Fraction[reference.length][reference[0].length];
+ m.copySubMatrix(selectedRows, selectedColumns, sub);
+ assertEquals(new DenseFieldMatrix<Fraction>(reference), new DenseFieldMatrix<Fraction>(sub));
+ if (mustFail) {
+ fail("Expecting MatrixIndexException");
+ }
+ } catch (MatrixIndexException e) {
+ if (!mustFail) {
+ throw e;
+ }
+ }
+ }
+
+ public void testGetRowMatrix() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldMatrix<Fraction> mRow0 = new DenseFieldMatrix<Fraction>(subRow0);
+ FieldMatrix<Fraction> mRow3 = new DenseFieldMatrix<Fraction>(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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldMatrix<Fraction> mRow3 = new DenseFieldMatrix<Fraction>(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 testGetSetRowMatrixLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ FieldMatrix<Fraction> sub =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), 1, n).scalarAdd(new Fraction(1));
+
+ m.setRowMatrix(2, sub);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if (i != 2) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ assertEquals(sub, m.getRowMatrix(2));
+
+ }
+
+ public void testGetColumnMatrix() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldMatrix<Fraction> mColumn1 = new DenseFieldMatrix<Fraction>(subColumn1);
+ FieldMatrix<Fraction> mColumn3 = new DenseFieldMatrix<Fraction>(subColumn3);
+ assertEquals(mColumn1, m.getColumnMatrix(1));
+ assertEquals(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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldMatrix<Fraction> mColumn3 = new DenseFieldMatrix<Fraction>(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 testGetSetColumnMatrixLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ FieldMatrix<Fraction> sub =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, 1).scalarAdd(new Fraction(1));
+
+ m.setColumnMatrix(2, sub);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if (j != 2) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ assertEquals(sub, m.getColumnMatrix(2));
+
+ }
+
+ public void testGetRowVector() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldVector<Fraction> mRow0 = new FieldVectorImpl<Fraction>(subRow0[0]);
+ FieldVector<Fraction> mRow3 = new FieldVectorImpl<Fraction>(subRow3[0]);
+ assertEquals(mRow0, m.getRowVector(0));
+ assertEquals(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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldVector<Fraction> mRow3 = new FieldVectorImpl<Fraction>(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 FieldVectorImpl<Fraction>(FractionField.getInstance(), 5));
+ fail("Expecting InvalidMatrixException");
+ } catch (InvalidMatrixException ex) {
+ // expected
+ }
+ }
+
+ public void testGetSetRowVectorLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ FieldVector<Fraction> sub = new FieldVectorImpl<Fraction>(n, new Fraction(1));
+
+ m.setRowVector(2, sub);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if (i != 2) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ assertEquals(sub, m.getRowVector(2));
+
+ }
+
+ public void testGetColumnVector() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldVector<Fraction> mColumn1 = columnToVector(subColumn1);
+ FieldVector<Fraction> mColumn3 = columnToVector(subColumn3);
+ assertEquals(mColumn1, m.getColumnVector(1));
+ assertEquals(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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ FieldVector<Fraction> 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 FieldVectorImpl<Fraction>(FractionField.getInstance(), 5));
+ fail("Expecting InvalidMatrixException");
+ } catch (InvalidMatrixException ex) {
+ // expected
+ }
+ }
+
+ public void testGetSetColumnVectorLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ FieldVector<Fraction> sub = new FieldVectorImpl<Fraction>(n, new Fraction(1));
+
+ m.setColumnVector(2, sub);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if (j != 2) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ assertEquals(sub, m.getColumnVector(2));
+
+ }
+
+ 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 testGetRow() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(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 Fraction[5]);
+ fail("Expecting InvalidMatrixException");
+ } catch (InvalidMatrixException ex) {
+ // expected
+ }
+ }
+
+ public void testGetSetRowLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ Fraction[] sub = new Fraction[n];
+ Arrays.fill(sub, new Fraction(1));
+
+ m.setRow(2, sub);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if (i != 2) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ checkArrays(sub, m.getRow(2));
+
+ }
+
+ public void testGetColumn() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ Fraction[] mColumn1 = columnToArray(subColumn1);
+ Fraction[] 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() {
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(subTestData);
+ Fraction[] 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 Fraction[5]);
+ fail("Expecting InvalidMatrixException");
+ } catch (InvalidMatrixException ex) {
+ // expected
+ }
+ }
+
+ public void testGetSetColumnLarge() {
+ int n = 3 * DenseFieldMatrix.BLOCK_SIZE;
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
+ Fraction[] sub = new Fraction[n];
+ Arrays.fill(sub, new Fraction(1));
+
+ m.setColumn(2, sub);
+ for (int i = 0; i < n; ++i) {
+ for (int j = 0; j < n; ++j) {
+ if (j != 2) {
+ assertEquals(new Fraction(0), m.getEntry(i, j));
+ } else {
+ assertEquals(new Fraction(1), m.getEntry(i, j));
+ }
+ }
+ }
+ checkArrays(sub, m.getColumn(2));
+
+ }
+
+ private Fraction[] columnToArray(Fraction[][] column) {
+ Fraction[] data = new Fraction[column.length];
+ for (int i = 0; i < data.length; ++i) {
+ data[i] = column[i][0];
+ }
+ return data;
+ }
+
+ private void checkArrays(Fraction[] expected, Fraction[] actual) {
+ assertEquals(expected.length, actual.length);
+ for (int i = 0; i < expected.length; ++i) {
+ assertEquals(expected[i], actual[i]);
+ }
+ }
+
+ public void testEqualsAndHashCode() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ DenseFieldMatrix<Fraction> m1 = (DenseFieldMatrix<Fraction>) m.copy();
+ DenseFieldMatrix<Fraction> mt = (DenseFieldMatrix<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(new DenseFieldMatrix<Fraction>(bigSingular)));
+ }
+
+ public void testToString() {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ assertEquals("DenseFieldMatrix{{1,2,3},{2,5,3},{1,0,8}}", m.toString());
+ }
+
+ public void testSetSubMatrix() throws Exception {
+ DenseFieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(testData);
+ m.setSubMatrix(detData2,1,1);
+ FieldMatrix<Fraction> expected = new DenseFieldMatrix<Fraction>
+ (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 = new DenseFieldMatrix<Fraction>
+ (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 = new DenseFieldMatrix<Fraction>
+ (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
+ DenseFieldMatrix<Fraction> matrix =
+ new DenseFieldMatrix<Fraction>(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 =
+ new DenseFieldMatrix<Fraction>(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
+ }
+
+ // 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
+ }
+
+ }
+
+ public void testWalk() {
+ int rows = 150;
+ int columns = 75;
+
+ FieldMatrix<Fraction> m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
+ m.walkInRowOrder(new SetVisitor());
+ GetVisitor getVisitor = new GetVisitor();
+ m.walkInOptimizedOrder(getVisitor);
+ assertEquals(rows * columns, getVisitor.getCount());
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), 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(new Fraction(0), m.getEntry(i, 0));
+ assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
+ }
+ for (int j = 0; j < columns; ++j) {
+ assertEquals(new Fraction(0), m.getEntry(0, j));
+ assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
+ }
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
+ m.walkInColumnOrder(new SetVisitor());
+ getVisitor = new GetVisitor();
+ m.walkInOptimizedOrder(getVisitor);
+ assertEquals(rows * columns, getVisitor.getCount());
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), 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(new Fraction(0), m.getEntry(i, 0));
+ assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
+ }
+ for (int j = 0; j < columns; ++j) {
+ assertEquals(new Fraction(0), m.getEntry(0, j));
+ assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
+ }
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
+ m.walkInOptimizedOrder(new SetVisitor());
+ getVisitor = new GetVisitor();
+ m.walkInRowOrder(getVisitor);
+ assertEquals(rows * columns, getVisitor.getCount());
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), 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(new Fraction(0), m.getEntry(i, 0));
+ assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
+ }
+ for (int j = 0; j < columns; ++j) {
+ assertEquals(new Fraction(0), m.getEntry(0, j));
+ assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
+ }
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
+ m.walkInOptimizedOrder(new SetVisitor());
+ getVisitor = new GetVisitor();
+ m.walkInColumnOrder(getVisitor);
+ assertEquals(rows * columns, getVisitor.getCount());
+
+ m = new DenseFieldMatrix<Fraction>(FractionField.getInstance(), 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(new Fraction(0), m.getEntry(i, 0));
+ assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
+ }
+ for (int j = 0; j < columns; ++j) {
+ assertEquals(new Fraction(0), m.getEntry(0, j));
+ assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
+ }
+
+ }
+
+ private static class SetVisitor extends DefaultFieldMatrixChangingVisitor<Fraction> {
+ private static final long serialVersionUID = 6586716383170553060L;
+ public SetVisitor() {
+ super(Fraction.ZERO);
+ }
+ @Override
+ public Fraction visit(int i, int j, Fraction value) {
+ return new Fraction(i * 11 + j, 11);
+ }
+ }
+
+ private static class GetVisitor extends DefaultFieldMatrixPreservingVisitor<Fraction> {
+ private static final long serialVersionUID = 8363001284977267825L;
+ private int count;
+ public GetVisitor() {
+ super(Fraction.ZERO);
+ count = 0;
+ }
+ @Override
+ public void visit(int i, int j, Fraction value) {
+ ++count;
+ assertEquals(new Fraction(i * 11 + j, 11), value);
+ }
+ public int getCount() {
+ return count;
+ }
+ }
+
+ private DenseFieldMatrix<Fraction> createRandomMatrix(Random r, int rows, int columns) {
+ DenseFieldMatrix<Fraction> m =
+ new DenseFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
+ for (int i = 0; i < rows; ++i) {
+ for (int j = 0; j < columns; ++j) {
+ int p = r.nextInt(20) - 10;
+ int q = r.nextInt(20) - 10;
+ if (q == 0) {
+ q = 1;
+ }
+ m.setEntry(i, j, new Fraction(p, q));
+ }
+ }
+ return m;
+ }
+
+}
+
Propchange: commons/proper/math/trunk/src/test/org/apache/commons/math/linear/DenseFieldMatrixTest.java
------------------------------------------------------------------------------
svn:eol-style = native
Propchange: commons/proper/math/trunk/src/test/org/apache/commons/math/linear/DenseFieldMatrixTest.java
------------------------------------------------------------------------------
svn:keywords = Author Date Id Revision