| /* |
| * Licensed to the Apache Software Foundation (ASF) under one or more |
| * contributor license agreements. See the NOTICE file distributed with |
| * this work for additional information regarding copyright ownership. |
| * The ASF licenses this file to You under the Apache License, Version 2.0 |
| * (the "License"); you may not use this file except in compliance with |
| * the License. You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| package org.apache.commons.math3.linear; |
| |
| import java.util.Arrays; |
| import java.util.Random; |
| |
| import org.junit.Test; |
| import org.junit.Assert; |
| |
| import org.apache.commons.math3.TestUtils; |
| import org.apache.commons.math3.fraction.Fraction; |
| import org.apache.commons.math3.fraction.FractionField; |
| import org.apache.commons.math3.exception.NoDataException; |
| import org.apache.commons.math3.exception.NullArgumentException; |
| import org.apache.commons.math3.exception.OutOfRangeException; |
| import org.apache.commons.math3.exception.NumberIsTooSmallException; |
| import org.apache.commons.math3.exception.NotStrictlyPositiveException; |
| import org.apache.commons.math3.exception.MathIllegalArgumentException; |
| |
| /** |
| * Test cases for the {@link BlockFieldMatrix} class. |
| * |
| */ |
| |
| public final class BlockFieldMatrixTest { |
| |
| // 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; |
| |
| /** test dimensions */ |
| @Test |
| public void testDimensions() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> m2 = new BlockFieldMatrix<Fraction>(testData2); |
| Assert.assertEquals("testData row dimension",3,m.getRowDimension()); |
| Assert.assertEquals("testData column dimension",3,m.getColumnDimension()); |
| Assert.assertTrue("testData is square",m.isSquare()); |
| Assert.assertEquals("testData2 row dimension",m2.getRowDimension(),2); |
| Assert.assertEquals("testData2 column dimension",m2.getColumnDimension(),3); |
| Assert.assertTrue("testData2 is not square",!m2.isSquare()); |
| } |
| |
| /** test copy functions */ |
| @Test |
| public void testCopyFunctions() { |
| Random r = new Random(66636328996002l); |
| BlockFieldMatrix<Fraction> m1 = createRandomMatrix(r, 47, 83); |
| BlockFieldMatrix<Fraction> m2 = new BlockFieldMatrix<Fraction>(m1.getData()); |
| Assert.assertEquals(m1, m2); |
| BlockFieldMatrix<Fraction> m3 = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> m4 = new BlockFieldMatrix<Fraction>(m3.getData()); |
| Assert.assertEquals(m3, m4); |
| } |
| |
| /** test add */ |
| @Test |
| public void testAdd() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> mInv = new BlockFieldMatrix<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++) { |
| Assert.assertEquals(testDataPlusInv[row][col],sumEntries[row][col]); |
| } |
| } |
| } |
| |
| /** test add failure */ |
| @Test |
| public void testAddFail() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> m2 = new BlockFieldMatrix<Fraction>(testData2); |
| try { |
| m.add(m2); |
| Assert.fail("MathIllegalArgumentException expected"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| /** test m-n = m + -n */ |
| @Test |
| public void testPlusMinus() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> m2 = new BlockFieldMatrix<Fraction>(testDataInv); |
| TestUtils.assertEquals(m.subtract(m2), m2.scalarMultiply(new Fraction(-1)).add(m)); |
| try { |
| m.subtract(new BlockFieldMatrix<Fraction>(testData2)); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| /** test multiply */ |
| @Test |
| public void testMultiply() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> mInv = new BlockFieldMatrix<Fraction>(testDataInv); |
| BlockFieldMatrix<Fraction> identity = new BlockFieldMatrix<Fraction>(id); |
| BlockFieldMatrix<Fraction> m2 = new BlockFieldMatrix<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 BlockFieldMatrix<Fraction>(bigSingular)); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSeveralBlocks() { |
| FieldMatrix<Fraction> m = |
| new BlockFieldMatrix<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(); |
| Assert.assertEquals(m.getRowDimension(), mT.getColumnDimension()); |
| Assert.assertEquals(m.getColumnDimension(), mT.getRowDimension()); |
| for (int i = 0; i < mT.getRowDimension(); ++i) { |
| for (int j = 0; j < mT.getColumnDimension(); ++j) { |
| Assert.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) { |
| Assert.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) { |
| Assert.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))); |
| } |
| Assert.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))); |
| } |
| Assert.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) { |
| Assert.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) { |
| Assert.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) { |
| Assert.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) { |
| Assert.assertEquals(new Fraction((i + 30) * 11 + (j + 32), 11), sub4.getEntry(i, j)); |
| } |
| } |
| |
| } |
| |
| //Additional Test for BlockFieldMatrix<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)}}; |
| |
| @Test |
| public void testMultiply2() { |
| FieldMatrix<Fraction> m3 = new BlockFieldMatrix<Fraction>(d3); |
| FieldMatrix<Fraction> m4 = new BlockFieldMatrix<Fraction>(d4); |
| FieldMatrix<Fraction> m5 = new BlockFieldMatrix<Fraction>(d5); |
| TestUtils.assertEquals(m3.multiply(m4), m5); |
| } |
| |
| /** test trace */ |
| @Test |
| public void testTrace() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(id); |
| Assert.assertEquals(new Fraction(3),m.getTrace()); |
| m = new BlockFieldMatrix<Fraction>(testData2); |
| try { |
| m.getTrace(); |
| Assert.fail("Expecting NonSquareMatrixException"); |
| } catch (NonSquareMatrixException ex) { |
| // ignored |
| } |
| } |
| |
| /** test scalarAdd */ |
| @Test |
| public void testScalarAdd() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| TestUtils.assertEquals(new BlockFieldMatrix<Fraction>(testDataPlus2), |
| m.scalarAdd(new Fraction(2))); |
| } |
| |
| /** test operate */ |
| @Test |
| public void testOperate() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(id); |
| TestUtils.assertEquals(testVector, m.operate(testVector)); |
| TestUtils.assertEquals(testVector, m.operate(new ArrayFieldVector<Fraction>(testVector)).toArray()); |
| m = new BlockFieldMatrix<Fraction>(bigSingular); |
| try { |
| m.operate(testVector); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| @Test |
| public void testOperateLarge() { |
| int p = (11 * BlockFieldMatrix.BLOCK_SIZE) / 10; |
| int q = (11 * BlockFieldMatrix.BLOCK_SIZE) / 10; |
| int r = BlockFieldMatrix.BLOCK_SIZE / 2; |
| 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))); |
| } |
| } |
| |
| @Test |
| public void testOperatePremultiplyLarge() { |
| int p = (11 * BlockFieldMatrix.BLOCK_SIZE) / 10; |
| int q = (11 * BlockFieldMatrix.BLOCK_SIZE) / 10; |
| int r = BlockFieldMatrix.BLOCK_SIZE / 2; |
| 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 */ |
| @Test |
| public void testMath209() { |
| FieldMatrix<Fraction> a = new BlockFieldMatrix<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) }); |
| Assert.assertEquals(a.getRowDimension(), b.length); |
| Assert.assertEquals( new Fraction(3), b[0]); |
| Assert.assertEquals( new Fraction(7), b[1]); |
| Assert.assertEquals(new Fraction(11), b[2]); |
| } |
| |
| /** test transpose */ |
| @Test |
| public void testTranspose() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| FieldMatrix<Fraction> mIT = new FieldLUDecomposition<Fraction>(m).getSolver().getInverse().transpose(); |
| FieldMatrix<Fraction> mTI = new FieldLUDecomposition<Fraction>(m.transpose()).getSolver().getInverse(); |
| TestUtils.assertEquals(mIT, mTI); |
| m = new BlockFieldMatrix<Fraction>(testData2); |
| FieldMatrix<Fraction> mt = new BlockFieldMatrix<Fraction>(testData2T); |
| TestUtils.assertEquals(mt, m.transpose()); |
| } |
| |
| /** test preMultiply by vector */ |
| @Test |
| public void testPremultiplyVector() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| TestUtils.assertEquals(m.preMultiply(testVector), preMultTest); |
| TestUtils.assertEquals(m.preMultiply(new ArrayFieldVector<Fraction>(testVector).getData()), |
| preMultTest); |
| m = new BlockFieldMatrix<Fraction>(bigSingular); |
| try { |
| m.preMultiply(testVector); |
| Assert.fail("expecting MathIllegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| @Test |
| public void testPremultiply() { |
| FieldMatrix<Fraction> m3 = new BlockFieldMatrix<Fraction>(d3); |
| FieldMatrix<Fraction> m4 = new BlockFieldMatrix<Fraction>(d4); |
| FieldMatrix<Fraction> m5 = new BlockFieldMatrix<Fraction>(d5); |
| TestUtils.assertEquals(m4.preMultiply(m3), m5); |
| |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> mInv = new BlockFieldMatrix<Fraction>(testDataInv); |
| BlockFieldMatrix<Fraction> identity = new BlockFieldMatrix<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 BlockFieldMatrix<Fraction>(bigSingular)); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| @Test |
| public void testGetVectors() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| TestUtils.assertEquals(m.getRow(0), testDataRow1); |
| TestUtils.assertEquals(m.getColumn(2), testDataCol3); |
| try { |
| m.getRow(10); |
| Assert.fail("expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // ignored |
| } |
| try { |
| m.getColumn(-1); |
| Assert.fail("expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // ignored |
| } |
| } |
| |
| @Test |
| public void testGetEntry() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| Assert.assertEquals(m.getEntry(0,1),new Fraction(2)); |
| try { |
| m.getEntry(10, 4); |
| Assert.fail ("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| /** test examples in user guide */ |
| @Test |
| 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 BlockFieldMatrix<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 BlockFieldMatrix<Fraction>(matrixData2); |
| // Now multiply m by n |
| FieldMatrix<Fraction> p = m.multiply(n); |
| Assert.assertEquals(2, p.getRowDimension()); |
| Assert.assertEquals(2, p.getColumnDimension()); |
| // Invert p |
| FieldMatrix<Fraction> pInverse = new FieldLUDecomposition<Fraction>(p).getSolver().getInverse(); |
| Assert.assertEquals(2, pInverse.getRowDimension()); |
| Assert.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 BlockFieldMatrix<Fraction>(coefficientsData); |
| Fraction[] constants = { |
| new Fraction(1), new Fraction(-2), new Fraction(1) |
| }; |
| Fraction[] solution; |
| solution = new FieldLUDecomposition<Fraction>(coefficients) |
| .getSolver() |
| .solve(new ArrayFieldVector<Fraction>(constants, false)).toArray(); |
| Assert.assertEquals(new Fraction(2).multiply(solution[0]). |
| add(new Fraction(3).multiply(solution[1])). |
| subtract(new Fraction(2).multiply(solution[2])), |
| constants[0]); |
| Assert.assertEquals(new Fraction(-1).multiply(solution[0]). |
| add(new Fraction(7).multiply(solution[1])). |
| add(new Fraction(6).multiply(solution[2])), |
| constants[1]); |
| Assert.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 |
| @Test |
| public void testGetSubMatrix() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| checkGetSubMatrix(m, subRows23Cols00, 2 , 3 , 0, 0); |
| checkGetSubMatrix(m, subRows00Cols33, 0 , 0 , 3, 3); |
| checkGetSubMatrix(m, subRows01Cols23, 0 , 1 , 2, 3); |
| checkGetSubMatrix(m, subRows02Cols13, new int[] { 0, 2 }, new int[] { 1, 3 }); |
| checkGetSubMatrix(m, subRows03Cols12, new int[] { 0, 3 }, new int[] { 1, 2 }); |
| checkGetSubMatrix(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 }); |
| checkGetSubMatrix(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 }); |
| checkGetSubMatrix(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }); |
| checkGetSubMatrix(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }); |
| checkGetSubMatrix(m, null, 1, 0, 2, 4); |
| checkGetSubMatrix(m, null, -1, 1, 2, 2); |
| checkGetSubMatrix(m, null, 1, 0, 2, 2); |
| checkGetSubMatrix(m, null, 1, 0, 2, 4); |
| checkGetSubMatrix(m, null, new int[] {}, new int[] { 0 }); |
| checkGetSubMatrix(m, null, new int[] { 0 }, new int[] { 4 }); |
| } |
| |
| private void checkGetSubMatrix(FieldMatrix<Fraction> m, Fraction[][] reference, |
| int startRow, int endRow, int startColumn, int endColumn) { |
| try { |
| FieldMatrix<Fraction> sub = m.getSubMatrix(startRow, endRow, startColumn, endColumn); |
| if (reference != null) { |
| Assert.assertEquals(new BlockFieldMatrix<Fraction>(reference), sub); |
| } else { |
| Assert.fail("Expecting OutOfRangeException or NotStrictlyPositiveException" |
| + " or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NotStrictlyPositiveException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } |
| } |
| |
| private void checkGetSubMatrix(FieldMatrix<Fraction> m, Fraction[][] reference, |
| int[] selectedRows, int[] selectedColumns) { |
| try { |
| FieldMatrix<Fraction> sub = m.getSubMatrix(selectedRows, selectedColumns); |
| if (reference != null) { |
| Assert.assertEquals(new BlockFieldMatrix<Fraction>(reference), sub); |
| } else { |
| Assert.fail("Expecting OutOfRangeException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NotStrictlyPositiveException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } |
| } |
| |
| @Test |
| public void testGetSetMatrixLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = |
| new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n); |
| FieldMatrix<Fraction> sub = |
| new BlockFieldMatrix<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)) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.assertEquals(new Fraction(1), m.getEntry(i, j)); |
| } |
| } |
| } |
| Assert.assertEquals(sub, m.getSubMatrix(2, n - 3, 2, n - 3)); |
| } |
| |
| @Test |
| public void testCopySubMatrix() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| checkCopy(m, subRows23Cols00, 2 , 3 , 0, 0); |
| checkCopy(m, subRows00Cols33, 0 , 0 , 3, 3); |
| checkCopy(m, subRows01Cols23, 0 , 1 , 2, 3); |
| checkCopy(m, subRows02Cols13, new int[] { 0, 2 }, new int[] { 1, 3 }); |
| checkCopy(m, subRows03Cols12, new int[] { 0, 3 }, new int[] { 1, 2 }); |
| checkCopy(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 }); |
| checkCopy(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 }); |
| checkCopy(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }); |
| checkCopy(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }); |
| |
| checkCopy(m, null, 1, 0, 2, 4); |
| checkCopy(m, null, -1, 1, 2, 2); |
| checkCopy(m, null, 1, 0, 2, 2); |
| checkCopy(m, null, 1, 0, 2, 4); |
| checkCopy(m, null, new int[] {}, new int[] { 0 }); |
| checkCopy(m, null, new int[] { 0 }, new int[] { 4 }); |
| } |
| |
| private void checkCopy(FieldMatrix<Fraction> m, Fraction[][] reference, |
| int startRow, int endRow, int startColumn, int endColumn) { |
| try { |
| Fraction[][] sub = (reference == null) ? |
| new Fraction[1][1] : |
| new Fraction[reference.length][reference[0].length]; |
| m.copySubMatrix(startRow, endRow, startColumn, endColumn, sub); |
| if (reference != null) { |
| Assert.assertEquals(new BlockFieldMatrix<Fraction>(reference), new BlockFieldMatrix<Fraction>(sub)); |
| } else { |
| Assert.fail("Expecting OutOfRangeException or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } |
| } |
| |
| private void checkCopy(FieldMatrix<Fraction> m, Fraction[][] reference, |
| int[] selectedRows, int[] selectedColumns) { |
| try { |
| Fraction[][] sub = (reference == null) ? |
| new Fraction[1][1] : |
| new Fraction[reference.length][reference[0].length]; |
| m.copySubMatrix(selectedRows, selectedColumns, sub); |
| if (reference != null) { |
| Assert.assertEquals(new BlockFieldMatrix<Fraction>(reference), new BlockFieldMatrix<Fraction>(sub)); |
| } else { |
| Assert.fail("Expecting OutOfRangeException or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (reference != null) { |
| throw e; |
| } |
| } |
| } |
| |
| @Test |
| public void testGetRowMatrix() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldMatrix<Fraction> mRow0 = new BlockFieldMatrix<Fraction>(subRow0); |
| FieldMatrix<Fraction> mRow3 = new BlockFieldMatrix<Fraction>(subRow3); |
| Assert.assertEquals("Row0", mRow0, m.getRowMatrix(0)); |
| Assert.assertEquals("Row3", mRow3, m.getRowMatrix(3)); |
| try { |
| m.getRowMatrix(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getRowMatrix(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetRowMatrix() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldMatrix<Fraction> mRow3 = new BlockFieldMatrix<Fraction>(subRow3); |
| Assert.assertNotSame(mRow3, m.getRowMatrix(0)); |
| m.setRowMatrix(0, mRow3); |
| Assert.assertEquals(mRow3, m.getRowMatrix(0)); |
| try { |
| m.setRowMatrix(-1, mRow3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setRowMatrix(0, m); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetSetRowMatrixLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = |
| new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n); |
| FieldMatrix<Fraction> sub = |
| new BlockFieldMatrix<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) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.assertEquals(new Fraction(1), m.getEntry(i, j)); |
| } |
| } |
| } |
| Assert.assertEquals(sub, m.getRowMatrix(2)); |
| |
| } |
| |
| @Test |
| public void testGetColumnMatrix() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldMatrix<Fraction> mColumn1 = new BlockFieldMatrix<Fraction>(subColumn1); |
| FieldMatrix<Fraction> mColumn3 = new BlockFieldMatrix<Fraction>(subColumn3); |
| Assert.assertEquals(mColumn1, m.getColumnMatrix(1)); |
| Assert.assertEquals(mColumn3, m.getColumnMatrix(3)); |
| try { |
| m.getColumnMatrix(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getColumnMatrix(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetColumnMatrix() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldMatrix<Fraction> mColumn3 = new BlockFieldMatrix<Fraction>(subColumn3); |
| Assert.assertNotSame(mColumn3, m.getColumnMatrix(1)); |
| m.setColumnMatrix(1, mColumn3); |
| Assert.assertEquals(mColumn3, m.getColumnMatrix(1)); |
| try { |
| m.setColumnMatrix(-1, mColumn3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setColumnMatrix(0, m); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetSetColumnMatrixLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = |
| new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n); |
| FieldMatrix<Fraction> sub = |
| new BlockFieldMatrix<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) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.assertEquals(new Fraction(1), m.getEntry(i, j)); |
| } |
| } |
| } |
| Assert.assertEquals(sub, m.getColumnMatrix(2)); |
| |
| } |
| |
| @Test |
| public void testGetRowVector() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldVector<Fraction> mRow0 = new ArrayFieldVector<Fraction>(subRow0[0]); |
| FieldVector<Fraction> mRow3 = new ArrayFieldVector<Fraction>(subRow3[0]); |
| Assert.assertEquals(mRow0, m.getRowVector(0)); |
| Assert.assertEquals(mRow3, m.getRowVector(3)); |
| try { |
| m.getRowVector(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getRowVector(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetRowVector() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldVector<Fraction> mRow3 = new ArrayFieldVector<Fraction>(subRow3[0]); |
| Assert.assertNotSame(mRow3, m.getRowMatrix(0)); |
| m.setRowVector(0, mRow3); |
| Assert.assertEquals(mRow3, m.getRowVector(0)); |
| try { |
| m.setRowVector(-1, mRow3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setRowVector(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), 5)); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetSetRowVectorLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n); |
| FieldVector<Fraction> sub = new ArrayFieldVector<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) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.assertEquals(new Fraction(1), m.getEntry(i, j)); |
| } |
| } |
| } |
| Assert.assertEquals(sub, m.getRowVector(2)); |
| |
| } |
| |
| @Test |
| public void testGetColumnVector() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldVector<Fraction> mColumn1 = columnToVector(subColumn1); |
| FieldVector<Fraction> mColumn3 = columnToVector(subColumn3); |
| Assert.assertEquals(mColumn1, m.getColumnVector(1)); |
| Assert.assertEquals(mColumn3, m.getColumnVector(3)); |
| try { |
| m.getColumnVector(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getColumnVector(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetColumnVector() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| FieldVector<Fraction> mColumn3 = columnToVector(subColumn3); |
| Assert.assertNotSame(mColumn3, m.getColumnVector(1)); |
| m.setColumnVector(1, mColumn3); |
| Assert.assertEquals(mColumn3, m.getColumnVector(1)); |
| try { |
| m.setColumnVector(-1, mColumn3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setColumnVector(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), 5)); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetSetColumnVectorLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n); |
| FieldVector<Fraction> sub = new ArrayFieldVector<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) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.assertEquals(new Fraction(1), m.getEntry(i, j)); |
| } |
| } |
| } |
| Assert.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 ArrayFieldVector<Fraction>(data, false); |
| } |
| |
| @Test |
| public void testGetRow() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| checkArrays(subRow0[0], m.getRow(0)); |
| checkArrays(subRow3[0], m.getRow(3)); |
| try { |
| m.getRow(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getRow(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetRow() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| Assert.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]); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setRow(0, new Fraction[5]); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetSetRowLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<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) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.assertEquals(new Fraction(1), m.getEntry(i, j)); |
| } |
| } |
| } |
| checkArrays(sub, m.getRow(2)); |
| |
| } |
| |
| @Test |
| public void testGetColumn() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| Fraction[] mColumn1 = columnToArray(subColumn1); |
| Fraction[] mColumn3 = columnToArray(subColumn3); |
| checkArrays(mColumn1, m.getColumn(1)); |
| checkArrays(mColumn3, m.getColumn(3)); |
| try { |
| m.getColumn(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getColumn(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetColumn() { |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(subTestData); |
| Fraction[] mColumn3 = columnToArray(subColumn3); |
| Assert.assertTrue(mColumn3[0] != m.getColumn(1)[0]); |
| m.setColumn(1, mColumn3); |
| checkArrays(mColumn3, m.getColumn(1)); |
| try { |
| m.setColumn(-1, mColumn3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setColumn(0, new Fraction[5]); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetSetColumnLarge() { |
| int n = 3 * BlockFieldMatrix.BLOCK_SIZE; |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<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) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, j)); |
| } else { |
| Assert.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) { |
| Assert.assertEquals(expected.length, actual.length); |
| for (int i = 0; i < expected.length; ++i) { |
| Assert.assertEquals(expected[i], actual[i]); |
| } |
| } |
| |
| @Test |
| public void testEqualsAndHashCode() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| BlockFieldMatrix<Fraction> m1 = (BlockFieldMatrix<Fraction>) m.copy(); |
| BlockFieldMatrix<Fraction> mt = (BlockFieldMatrix<Fraction>) m.transpose(); |
| Assert.assertTrue(m.hashCode() != mt.hashCode()); |
| Assert.assertEquals(m.hashCode(), m1.hashCode()); |
| Assert.assertEquals(m, m); |
| Assert.assertEquals(m, m1); |
| Assert.assertFalse(m.equals(null)); |
| Assert.assertFalse(m.equals(mt)); |
| Assert.assertFalse(m.equals(new BlockFieldMatrix<Fraction>(bigSingular))); |
| } |
| |
| @Test |
| public void testToString() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| Assert.assertEquals("BlockFieldMatrix{{1,2,3},{2,5,3},{1,0,8}}", m.toString()); |
| } |
| |
| @Test |
| public void testSetSubMatrix() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| m.setSubMatrix(detData2,1,1); |
| FieldMatrix<Fraction> expected = new BlockFieldMatrix<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)}}); |
| Assert.assertEquals(expected, m); |
| |
| m.setSubMatrix(detData2,0,0); |
| expected = new BlockFieldMatrix<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)}}); |
| Assert.assertEquals(expected, m); |
| |
| m.setSubMatrix(testDataPlus2,0,0); |
| expected = new BlockFieldMatrix<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)}}); |
| Assert.assertEquals(expected, m); |
| |
| // javadoc example |
| BlockFieldMatrix<Fraction> matrix = |
| new BlockFieldMatrix<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 BlockFieldMatrix<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)} |
| }); |
| Assert.assertEquals(expected, matrix); |
| |
| // dimension overflow |
| try { |
| m.setSubMatrix(testData,1,1); |
| Assert.fail("expecting OutOfRangeException"); |
| } catch (OutOfRangeException e) { |
| // expected |
| } |
| // dimension underflow |
| try { |
| m.setSubMatrix(testData,-1,1); |
| Assert.fail("expecting OutOfRangeException"); |
| } catch (OutOfRangeException e) { |
| // expected |
| } |
| try { |
| m.setSubMatrix(testData,1,-1); |
| Assert.fail("expecting OutOfRangeException"); |
| } catch (OutOfRangeException e) { |
| // expected |
| } |
| |
| // null |
| try { |
| m.setSubMatrix(null,1,1); |
| Assert.fail("expecting NullArgumentException"); |
| } catch (NullArgumentException e) { |
| // expected |
| } |
| |
| // ragged |
| try { |
| m.setSubMatrix(new Fraction[][] {{new Fraction(1)}, {new Fraction(2), new Fraction(3)}}, 0, 0); |
| Assert.fail("expecting MathIllegalArgumentException"); |
| } catch (MathIllegalArgumentException e) { |
| // expected |
| } |
| |
| // empty |
| try { |
| m.setSubMatrix(new Fraction[][] {{}}, 0, 0); |
| Assert.fail("expecting MathIllegalArgumentException"); |
| } catch (MathIllegalArgumentException e) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testWalk() { |
| int rows = 150; |
| int columns = 75; |
| |
| FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns); |
| m.walkInRowOrder(new SetVisitor()); |
| GetVisitor getVisitor = new GetVisitor(); |
| m.walkInOptimizedOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new BlockFieldMatrix<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); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, 0)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1)); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(0, j)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j)); |
| } |
| |
| m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns); |
| m.walkInColumnOrder(new SetVisitor()); |
| getVisitor = new GetVisitor(); |
| m.walkInOptimizedOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new BlockFieldMatrix<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); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, 0)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1)); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(0, j)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j)); |
| } |
| |
| m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns); |
| m.walkInOptimizedOrder(new SetVisitor()); |
| getVisitor = new GetVisitor(); |
| m.walkInRowOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new BlockFieldMatrix<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); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, 0)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1)); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(0, j)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j)); |
| } |
| |
| m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns); |
| m.walkInOptimizedOrder(new SetVisitor()); |
| getVisitor = new GetVisitor(); |
| m.walkInColumnOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new BlockFieldMatrix<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); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, 0)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1)); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(new Fraction(0), m.getEntry(0, j)); |
| Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j)); |
| } |
| |
| } |
| |
| @Test |
| public void testSerial() { |
| BlockFieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(testData); |
| Assert.assertEquals(m,TestUtils.serializeAndRecover(m)); |
| } |
| |
| private static class SetVisitor extends DefaultFieldMatrixChangingVisitor<Fraction> { |
| 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 int count; |
| public GetVisitor() { |
| super(Fraction.ZERO); |
| count = 0; |
| } |
| @Override |
| public void visit(int i, int j, Fraction value) { |
| ++count; |
| Assert.assertEquals(new Fraction(i * 11 + j, 11), value); |
| } |
| public int getCount() { |
| return count; |
| } |
| } |
| |
| private BlockFieldMatrix<Fraction> createRandomMatrix(Random r, int rows, int columns) { |
| BlockFieldMatrix<Fraction> m = |
| new BlockFieldMatrix<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; |
| } |
| } |
| |
