/*
* 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;
}
}