/*
* 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.math4.linear;
import org.junit.Test;
import org.junit.Assert;
import org.apache.commons.math4.TestUtils;
import org.apache.commons.math4.exception.MathIllegalArgumentException;
import org.apache.commons.math4.exception.NoDataException;
import org.apache.commons.math4.exception.NullArgumentException;
import org.apache.commons.math4.exception.NumberIsTooSmallException;
import org.apache.commons.math4.exception.OutOfRangeException;
import org.apache.commons.math4.linear.ArrayRealVector;
import org.apache.commons.math4.linear.BlockRealMatrix;
import org.apache.commons.math4.linear.LUDecomposition;
import org.apache.commons.math4.linear.NonSquareMatrixException;
import org.apache.commons.math4.linear.OpenMapRealMatrix;
import org.apache.commons.math4.linear.RealMatrix;
import org.apache.commons.math4.linear.RealVector;
/**
* Test cases for the {@link OpenMapRealMatrix} class.
*
*/
public final class SparseRealMatrixTest {
// 3 x 3 identity matrix
protected double[][] id = { { 1d, 0d, 0d }, { 0d, 1d, 0d }, { 0d, 0d, 1d } };
// Test data for group operations
protected double[][] testData = { { 1d, 2d, 3d }, { 2d, 5d, 3d },
{ 1d, 0d, 8d } };
protected double[][] testDataLU = { { 2d, 5d, 3d }, { .5d, -2.5d, 6.5d },
{ 0.5d, 0.2d, .2d } };
protected double[][] testDataPlus2 = { { 3d, 4d, 5d }, { 4d, 7d, 5d },
{ 3d, 2d, 10d } };
protected double[][] testDataMinus = { { -1d, -2d, -3d },
{ -2d, -5d, -3d }, { -1d, 0d, -8d } };
protected double[] testDataRow1 = { 1d, 2d, 3d };
protected double[] testDataCol3 = { 3d, 3d, 8d };
protected double[][] testDataInv = { { -40d, 16d, 9d }, { 13d, -5d, -3d },
{ 5d, -2d, -1d } };
protected double[] preMultTest = { 8, 12, 33 };
protected double[][] testData2 = { { 1d, 2d, 3d }, { 2d, 5d, 3d } };
protected double[][] testData2T = { { 1d, 2d }, { 2d, 5d }, { 3d, 3d } };
protected double[][] testDataPlusInv = { { -39d, 18d, 12d },
{ 15d, 0d, 0d }, { 6d, -2d, 7d } };
// lu decomposition tests
protected double[][] luData = { { 2d, 3d, 3d }, { 0d, 5d, 7d }, { 6d, 9d, 8d } };
protected double[][] luDataLUDecomposition = { { 6d, 9d, 8d },
{ 0d, 5d, 7d }, { 0.33333333333333, 0d, 0.33333333333333 } };
// singular matrices
protected double[][] singular = { { 2d, 3d }, { 2d, 3d } };
protected double[][] bigSingular = { { 1d, 2d, 3d, 4d },
{ 2d, 5d, 3d, 4d }, { 7d, 3d, 256d, 1930d }, { 3d, 7d, 6d, 8d } }; // 4th
// row
// =
// 1st
// +
// 2nd
protected double[][] detData = { { 1d, 2d, 3d }, { 4d, 5d, 6d },
{ 7d, 8d, 10d } };
protected double[][] detData2 = { { 1d, 3d }, { 2d, 4d } };
// vectors
protected double[] testVector = { 1, 2, 3 };
protected double[] testVector2 = { 1, 2, 3, 4 };
// submatrix accessor tests
protected double[][] subTestData = { { 1, 2, 3, 4 },
{ 1.5, 2.5, 3.5, 4.5 }, { 2, 4, 6, 8 }, { 4, 5, 6, 7 } };
// array selections
protected double[][] subRows02Cols13 = { { 2, 4 }, { 4, 8 } };
protected double[][] subRows03Cols12 = { { 2, 3 }, { 5, 6 } };
protected double[][] subRows03Cols123 = { { 2, 3, 4 }, { 5, 6, 7 } };
// effective permutations
protected double[][] subRows20Cols123 = { { 4, 6, 8 }, { 2, 3, 4 } };
protected double[][] subRows31Cols31 = { { 7, 5 }, { 4.5, 2.5 } };
// contiguous ranges
protected double[][] subRows01Cols23 = { { 3, 4 }, { 3.5, 4.5 } };
protected double[][] subRows23Cols00 = { { 2 }, { 4 } };
protected double[][] subRows00Cols33 = { { 4 } };
// row matrices
protected double[][] subRow0 = { { 1, 2, 3, 4 } };
protected double[][] subRow3 = { { 4, 5, 6, 7 } };
// column matrices
protected double[][] subColumn1 = { { 2 }, { 2.5 }, { 4 }, { 5 } };
protected double[][] subColumn3 = { { 4 }, { 4.5 }, { 8 }, { 7 } };
// tolerances
protected double entryTolerance = 10E-16;
protected double normTolerance = 10E-14;
/** test dimensions */
@Test
public void testDimensions() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix m2 = createSparseMatrix(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() {
OpenMapRealMatrix m1 = createSparseMatrix(testData);
RealMatrix m2 = m1.copy();
Assert.assertEquals(m1.getClass(), m2.getClass());
Assert.assertEquals((m2), m1);
OpenMapRealMatrix m3 = createSparseMatrix(testData);
RealMatrix m4 = m3.copy();
Assert.assertEquals(m3.getClass(), m4.getClass());
Assert.assertEquals((m4), m3);
}
/** test add */
@Test
public void testAdd() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix mInv = createSparseMatrix(testDataInv);
OpenMapRealMatrix mDataPlusInv = createSparseMatrix(testDataPlusInv);
RealMatrix mPlusMInv = m.add(mInv);
for (int row = 0; row < m.getRowDimension(); row++) {
for (int col = 0; col < m.getColumnDimension(); col++) {
Assert.assertEquals("sum entry entry",
mDataPlusInv.getEntry(row, col), mPlusMInv.getEntry(row, col),
entryTolerance);
}
}
}
/** test add failure */
@Test
public void testAddFail() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix m2 = createSparseMatrix(testData2);
try {
m.add(m2);
Assert.fail("MathIllegalArgumentException expected");
} catch (MathIllegalArgumentException ex) {
// ignored
}
}
/** test norm */
@Test
public void testNorm() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix m2 = createSparseMatrix(testData2);
Assert.assertEquals("testData norm", 14d, m.getNorm(), entryTolerance);
Assert.assertEquals("testData2 norm", 7d, m2.getNorm(), entryTolerance);
}
/** test m-n = m + -n */
@Test
public void testPlusMinus() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix n = createSparseMatrix(testDataInv);
assertClose("m-n = m + -n", m.subtract(n),
n.scalarMultiply(-1d).add(m), entryTolerance);
try {
m.subtract(createSparseMatrix(testData2));
Assert.fail("Expecting illegalArgumentException");
} catch (MathIllegalArgumentException ex) {
// ignored
}
}
/** test multiply */
@Test
public void testMultiply() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix mInv = createSparseMatrix(testDataInv);
OpenMapRealMatrix identity = createSparseMatrix(id);
OpenMapRealMatrix m2 = createSparseMatrix(testData2);
assertClose("inverse multiply", m.multiply(mInv), identity,
entryTolerance);
assertClose("inverse multiply", m.multiply(new BlockRealMatrix(testDataInv)), identity,
entryTolerance);
assertClose("inverse multiply", mInv.multiply(m), identity,
entryTolerance);
assertClose("identity multiply", m.multiply(identity), m,
entryTolerance);
assertClose("identity multiply", identity.multiply(mInv), mInv,
entryTolerance);
assertClose("identity multiply", m2.multiply(identity), m2,
entryTolerance);
try {
m.multiply(createSparseMatrix(bigSingular));
Assert.fail("Expecting illegalArgumentException");
} catch (MathIllegalArgumentException ex) {
// ignored
}
}
// Additional Test for Array2DRowRealMatrixTest.testMultiply
private double[][] d3 = new double[][] { { 1, 2, 3, 4 }, { 5, 6, 7, 8 } };
private double[][] d4 = new double[][] { { 1 }, { 2 }, { 3 }, { 4 } };
private double[][] d5 = new double[][] { { 30 }, { 70 } };
@Test
public void testMultiply2() {
RealMatrix m3 = createSparseMatrix(d3);
RealMatrix m4 = createSparseMatrix(d4);
RealMatrix m5 = createSparseMatrix(d5);
assertClose("m3*m4=m5", m3.multiply(m4), m5, entryTolerance);
}
/** test trace */
@Test
public void testTrace() {
RealMatrix m = createSparseMatrix(id);
Assert.assertEquals("identity trace", 3d, m.getTrace(), entryTolerance);
m = createSparseMatrix(testData2);
try {
m.getTrace();
Assert.fail("Expecting NonSquareMatrixException");
} catch (NonSquareMatrixException ex) {
// ignored
}
}
/** test sclarAdd */
@Test
public void testScalarAdd() {
RealMatrix m = createSparseMatrix(testData);
assertClose("scalar add", createSparseMatrix(testDataPlus2),
m.scalarAdd(2d), entryTolerance);
}
/** test operate */
@Test
public void testOperate() {
RealMatrix m = createSparseMatrix(id);
assertClose("identity operate", testVector, m.operate(testVector),
entryTolerance);
assertClose("identity operate", testVector, m.operate(
new ArrayRealVector(testVector)).toArray(), entryTolerance);
m = createSparseMatrix(bigSingular);
try {
m.operate(testVector);
Assert.fail("Expecting illegalArgumentException");
} catch (MathIllegalArgumentException ex) {
// ignored
}
}
/** test issue MATH-209 */
@Test
public void testMath209() {
RealMatrix a = createSparseMatrix(new double[][] {
{ 1, 2 }, { 3, 4 }, { 5, 6 } });
double[] b = a.operate(new double[] { 1, 1 });
Assert.assertEquals(a.getRowDimension(), b.length);
Assert.assertEquals(3.0, b[0], 1.0e-12);
Assert.assertEquals(7.0, b[1], 1.0e-12);
Assert.assertEquals(11.0, b[2], 1.0e-12);
}
/** test transpose */
@Test
public void testTranspose() {
RealMatrix m = createSparseMatrix(testData);
RealMatrix mIT = new LUDecomposition(m).getSolver().getInverse().transpose();
RealMatrix mTI = new LUDecomposition(m.transpose()).getSolver().getInverse();
assertClose("inverse-transpose", mIT, mTI, normTolerance);
m = createSparseMatrix(testData2);
RealMatrix mt = createSparseMatrix(testData2T);
assertClose("transpose",mt,m.transpose(),normTolerance);
}
/** test preMultiply by vector */
@Test
public void testPremultiplyVector() {
RealMatrix m = createSparseMatrix(testData);
assertClose("premultiply", m.preMultiply(testVector), preMultTest,
normTolerance);
assertClose("premultiply", m.preMultiply(
new ArrayRealVector(testVector).toArray()), preMultTest, normTolerance);
m = createSparseMatrix(bigSingular);
try {
m.preMultiply(testVector);
Assert.fail("expecting MathIllegalArgumentException");
} catch (MathIllegalArgumentException ex) {
// ignored
}
}
@Test
public void testPremultiply() {
RealMatrix m3 = createSparseMatrix(d3);
RealMatrix m4 = createSparseMatrix(d4);
RealMatrix m5 = createSparseMatrix(d5);
assertClose("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance);
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix mInv = createSparseMatrix(testDataInv);
OpenMapRealMatrix identity = createSparseMatrix(id);
assertClose("inverse multiply", m.preMultiply(mInv), identity,
entryTolerance);
assertClose("inverse multiply", mInv.preMultiply(m), identity,
entryTolerance);
assertClose("identity multiply", m.preMultiply(identity), m,
entryTolerance);
assertClose("identity multiply", identity.preMultiply(mInv), mInv,
entryTolerance);
try {
m.preMultiply(createSparseMatrix(bigSingular));
Assert.fail("Expecting illegalArgumentException");
} catch (MathIllegalArgumentException ex) {
// ignored
}
}
@Test
public void testGetVectors() {
RealMatrix m = createSparseMatrix(testData);
assertClose("get row", m.getRow(0), testDataRow1, entryTolerance);
assertClose("get col", m.getColumn(2), testDataCol3, entryTolerance);
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() {
RealMatrix m = createSparseMatrix(testData);
Assert.assertEquals("get entry", m.getEntry(0, 1), 2d, entryTolerance);
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
double[][] matrixData = { { 1d, 2d, 3d }, { 2d, 5d, 3d } };
RealMatrix m = createSparseMatrix(matrixData);
// One more with three rows, two columns
double[][] matrixData2 = { { 1d, 2d }, { 2d, 5d }, { 1d, 7d } };
RealMatrix n = createSparseMatrix(matrixData2);
// Now multiply m by n
RealMatrix p = m.multiply(n);
Assert.assertEquals(2, p.getRowDimension());
Assert.assertEquals(2, p.getColumnDimension());
// Invert p
RealMatrix pInverse = new LUDecomposition(p).getSolver().getInverse();
Assert.assertEquals(2, pInverse.getRowDimension());
Assert.assertEquals(2, pInverse.getColumnDimension());
// Solve example
double[][] coefficientsData = { { 2, 3, -2 }, { -1, 7, 6 },
{ 4, -3, -5 } };
RealMatrix coefficients = createSparseMatrix(coefficientsData);
RealVector constants = new ArrayRealVector(new double[]{ 1, -2, 1 }, false);
RealVector solution = new LUDecomposition(coefficients).getSolver().solve(constants);
final double cst0 = constants.getEntry(0);
final double cst1 = constants.getEntry(1);
final double cst2 = constants.getEntry(2);
final double sol0 = solution.getEntry(0);
final double sol1 = solution.getEntry(1);
final double sol2 = solution.getEntry(2);
Assert.assertEquals(2 * sol0 + 3 * sol1 - 2 * sol2, cst0, 1E-12);
Assert.assertEquals(-1 * sol0 + 7 * sol1 + 6 * sol2, cst1, 1E-12);
Assert.assertEquals(4 * sol0 - 3 * sol1 - 5 * sol2, cst2, 1E-12);
}
// test submatrix accessors
@Test
public void testSubMatrix() {
RealMatrix m = createSparseMatrix(subTestData);
RealMatrix mRows23Cols00 = createSparseMatrix(subRows23Cols00);
RealMatrix mRows00Cols33 = createSparseMatrix(subRows00Cols33);
RealMatrix mRows01Cols23 = createSparseMatrix(subRows01Cols23);
RealMatrix mRows02Cols13 = createSparseMatrix(subRows02Cols13);
RealMatrix mRows03Cols12 = createSparseMatrix(subRows03Cols12);
RealMatrix mRows03Cols123 = createSparseMatrix(subRows03Cols123);
RealMatrix mRows20Cols123 = createSparseMatrix(subRows20Cols123);
RealMatrix mRows31Cols31 = createSparseMatrix(subRows31Cols31);
Assert.assertEquals("Rows23Cols00", mRows23Cols00, m.getSubMatrix(2, 3, 0, 0));
Assert.assertEquals("Rows00Cols33", mRows00Cols33, m.getSubMatrix(0, 0, 3, 3));
Assert.assertEquals("Rows01Cols23", mRows01Cols23, m.getSubMatrix(0, 1, 2, 3));
Assert.assertEquals("Rows02Cols13", mRows02Cols13,
m.getSubMatrix(new int[] { 0, 2 }, new int[] { 1, 3 }));
Assert.assertEquals("Rows03Cols12", mRows03Cols12,
m.getSubMatrix(new int[] { 0, 3 }, new int[] { 1, 2 }));
Assert.assertEquals("Rows03Cols123", mRows03Cols123,
m.getSubMatrix(new int[] { 0, 3 }, new int[] { 1, 2, 3 }));
Assert.assertEquals("Rows20Cols123", mRows20Cols123,
m.getSubMatrix(new int[] { 2, 0 }, new int[] { 1, 2, 3 }));
Assert.assertEquals("Rows31Cols31", mRows31Cols31,
m.getSubMatrix(new int[] { 3, 1 }, new int[] { 3, 1 }));
Assert.assertEquals("Rows31Cols31", mRows31Cols31,
m.getSubMatrix(new int[] { 3, 1 }, new int[] { 3, 1 }));
try {
m.getSubMatrix(1, 0, 2, 4);
Assert.fail("Expecting NumberIsTooSmallException");
} catch (NumberIsTooSmallException ex) {
// expected
}
try {
m.getSubMatrix(-1, 1, 2, 2);
Assert.fail("Expecting OutOfRangeException");
} catch (OutOfRangeException ex) {
// expected
}
try {
m.getSubMatrix(1, 0, 2, 2);
Assert.fail("Expecting NumberIsTooSmallException");
} catch (NumberIsTooSmallException ex) {
// expected
}
try {
m.getSubMatrix(1, 0, 2, 4);
Assert.fail("Expecting NumberIsTooSmallException");
} catch (NumberIsTooSmallException ex) {
// expected
}
try {
m.getSubMatrix(new int[] {}, new int[] { 0 });
Assert.fail("Expecting NoDataException");
} catch (NoDataException ex) {
// expected
}
try {
m.getSubMatrix(new int[] { 0 }, new int[] { 4 });
Assert.fail("Expecting OutOfRangeException");
} catch (OutOfRangeException ex) {
// expected
}
}
@Test
public void testGetRowMatrix() {
RealMatrix m = createSparseMatrix(subTestData);
RealMatrix mRow0 = createSparseMatrix(subRow0);
RealMatrix mRow3 = createSparseMatrix(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 testGetColumnMatrix() {
RealMatrix m = createSparseMatrix(subTestData);
RealMatrix mColumn1 = createSparseMatrix(subColumn1);
RealMatrix mColumn3 = createSparseMatrix(subColumn3);
Assert.assertEquals("Column1", mColumn1, m.getColumnMatrix(1));
Assert.assertEquals("Column3", 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 testGetRowVector() {
RealMatrix m = createSparseMatrix(subTestData);
RealVector mRow0 = new ArrayRealVector(subRow0[0]);
RealVector mRow3 = new ArrayRealVector(subRow3[0]);
Assert.assertEquals("Row0", mRow0, m.getRowVector(0));
Assert.assertEquals("Row3", 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 testGetColumnVector() {
RealMatrix m = createSparseMatrix(subTestData);
RealVector mColumn1 = columnToVector(subColumn1);
RealVector mColumn3 = columnToVector(subColumn3);
Assert.assertEquals("Column1", mColumn1, m.getColumnVector(1));
Assert.assertEquals("Column3", 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
}
}
private RealVector columnToVector(double[][] column) {
double[] data = new double[column.length];
for (int i = 0; i < data.length; ++i) {
data[i] = column[i][0];
}
return new ArrayRealVector(data, false);
}
@Test
public void testEqualsAndHashCode() {
OpenMapRealMatrix m = createSparseMatrix(testData);
OpenMapRealMatrix m1 = m.copy();
OpenMapRealMatrix mt = (OpenMapRealMatrix) 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(createSparseMatrix(bigSingular)));
}
@Test
public void testToString() {
OpenMapRealMatrix m = createSparseMatrix(testData);
Assert.assertEquals("OpenMapRealMatrix{{1.0,2.0,3.0},{2.0,5.0,3.0},{1.0,0.0,8.0}}",
m.toString());
m = new OpenMapRealMatrix(1, 1);
Assert.assertEquals("OpenMapRealMatrix{{0.0}}", m.toString());
}
@Test
public void testSetSubMatrix() {
OpenMapRealMatrix m = createSparseMatrix(testData);
m.setSubMatrix(detData2, 1, 1);
RealMatrix expected = createSparseMatrix(new double[][] {
{ 1.0, 2.0, 3.0 }, { 2.0, 1.0, 3.0 }, { 1.0, 2.0, 4.0 } });
Assert.assertEquals(expected, m);
m.setSubMatrix(detData2, 0, 0);
expected = createSparseMatrix(new double[][] {
{ 1.0, 3.0, 3.0 }, { 2.0, 4.0, 3.0 }, { 1.0, 2.0, 4.0 } });
Assert.assertEquals(expected, m);
m.setSubMatrix(testDataPlus2, 0, 0);
expected = createSparseMatrix(new double[][] {
{ 3.0, 4.0, 5.0 }, { 4.0, 7.0, 5.0 }, { 3.0, 2.0, 10.0 } });
Assert.assertEquals(expected, m);
// javadoc example
OpenMapRealMatrix matrix =
createSparseMatrix(new double[][] {
{ 1, 2, 3, 4 }, { 5, 6, 7, 8 }, { 9, 0, 1, 2 } });
matrix.setSubMatrix(new double[][] { { 3, 4 }, { 5, 6 } }, 1, 1);
expected = createSparseMatrix(new double[][] {
{ 1, 2, 3, 4 }, { 5, 3, 4, 8 }, { 9, 5, 6, 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
}
try {
new OpenMapRealMatrix(0, 0);
Assert.fail("expecting MathIllegalArgumentException");
} catch (MathIllegalArgumentException e) {
// expected
}
// ragged
try {
m.setSubMatrix(new double[][] { { 1 }, { 2, 3 } }, 0, 0);
Assert.fail("expecting MathIllegalArgumentException");
} catch (MathIllegalArgumentException e) {
// expected
}
// empty
try {
m.setSubMatrix(new double[][] { {} }, 0, 0);
Assert.fail("expecting MathIllegalArgumentException");
} catch (MathIllegalArgumentException e) {
// expected
}
}
@Test
public void testSerial() {
OpenMapRealMatrix m = createSparseMatrix(testData);
Assert.assertEquals(m,TestUtils.serializeAndRecover(m));
}
// --------------- -----------------Protected methods
/** verifies that two matrices are close (1-norm) */
protected void assertClose(String msg, RealMatrix m, RealMatrix n,
double tolerance) {
Assert.assertTrue(msg, m.subtract(n).getNorm() < tolerance);
}
/** verifies that two vectors are close (sup norm) */
protected void assertClose(String msg, double[] m, double[] n,
double tolerance) {
if (m.length != n.length) {
Assert.fail("vectors not same length");
}
for (int i = 0; i < m.length; i++) {
Assert.assertEquals(msg + " " + i + " elements differ", m[i], n[i],
tolerance);
}
}
private OpenMapRealMatrix createSparseMatrix(double[][] data) {
OpenMapRealMatrix matrix = new OpenMapRealMatrix(data.length, data[0].length);
for (int row = 0; row < data.length; row++) {
for (int col = 0; col < data[row].length; col++) {
matrix.setEntry(row, col, data[row][col]);
}
}
return matrix;
}
}