Commons Math example source code file (BigMatrixImplTest.java)
The Commons Math BigMatrixImplTest.java source code
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package org.apache.commons.math.linear;
import java.math.BigDecimal;
import junit.framework.TestCase;
/**
* Test cases for the {@link BigMatrixImpl} class.
*
* @version $Revision: 902201 $ $Date: 2010-01-22 13:18:16 -0500 (Fri, 22 Jan 2010) $
*/
@Deprecated
public final class BigMatrixImplTest extends TestCase {
// Test data for String constructors
protected String[][] testDataString = { {"1","2","3"}, {"2","5","3"}, {"1","0","8"} };
// 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;
public BigMatrixImplTest(String name) {
super(name);
}
public static final double[] asDouble(BigDecimal[] data) {
double d[] = new double[data.length];
for (int i=0;i<d.length;i++) {
d[i] = data[i].doubleValue();
}
return d;
}
public static final double[][] asDouble(BigDecimal[][] data) {
double d[][] = new double[data.length][data[0].length];
for (int i=0;i<d.length;i++) {
for (int j=0;j<d[i].length;j++)
d[i][j] = data[i][j].doubleValue();
}
return d;
}
public static final BigDecimal[] asBigDecimal(double [] data) {
BigDecimal d[] = new BigDecimal[data.length];
for (int i=0;i<d.length;i++) {
d[i] = new BigDecimal(data[i]);
}
return d;
}
public static final BigDecimal[][] asBigDecimal(double [][] data) {
BigDecimal d[][] = new BigDecimal[data.length][data[0].length];
for (int i=0;i<d.length;i++) {
for (int j=0;j<data[i].length;j++) {
d[i][j] = new BigDecimal(data[i][j]);
}
}
return d;
}
/** test dimensions */
public void testDimensions() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl m2 = new BigMatrixImpl(testData2);
assertEquals("testData row dimension",3,m.getRowDimension());
assertEquals("testData column dimension",3,m.getColumnDimension());
assertTrue("testData is square",m.isSquare());
assertEquals("testData2 row dimension",m2.getRowDimension(),2);
assertEquals("testData2 column dimension",m2.getColumnDimension(),3);
assertTrue("testData2 is not square",!m2.isSquare());
}
/** test copy functions */
public void testCopyFunctions() {
BigMatrixImpl m1 = new BigMatrixImpl(testData);
BigMatrixImpl m2 = new BigMatrixImpl(m1.getData());
assertEquals(m2,m1);
BigMatrixImpl m3 = new BigMatrixImpl(testData);
BigMatrixImpl m4 = new BigMatrixImpl(m3.getData(), false);
assertEquals(m4,m3);
}
/** test constructors */
public void testConstructors() {
BigMatrix m1 = new BigMatrixImpl(testData);
BigMatrix m2 = new BigMatrixImpl(testDataString);
BigMatrix m3 = new BigMatrixImpl(asBigDecimal(testData));
BigMatrix m4 = new BigMatrixImpl(asBigDecimal(testData), true);
BigMatrix m5 = new BigMatrixImpl(asBigDecimal(testData), false);
assertClose("double, string", m1, m2, Double.MIN_VALUE);
assertClose("double, BigDecimal", m1, m3, Double.MIN_VALUE);
assertClose("string, BigDecimal", m2, m3, Double.MIN_VALUE);
assertClose("double, BigDecimal/true", m1, m4, Double.MIN_VALUE);
assertClose("double, BigDecimal/false", m1, m5, Double.MIN_VALUE);
try {
new BigMatrixImpl(new String[][] {{"0", "hello", "1"}});
fail("Expecting NumberFormatException");
} catch (NumberFormatException ex) {
// expected
}
try {
new BigMatrixImpl(new String[][] {});
fail("Expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// expected
}
try {
new BigMatrixImpl(new String[][] {{},{}});
fail("Expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// expected
}
try {
new BigMatrixImpl(new String[][] {{"a", "b"},{"c"}});
fail("Expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// expected
}
try {
new BigMatrixImpl(0, 1);
fail("Expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// expected
}
try {
new BigMatrixImpl(1, 0);
fail("Expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// expected
}
}
/** test add */
public void testAdd() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl mInv = new BigMatrixImpl(testDataInv);
BigMatrix mPlusMInv = m.add(mInv);
double[][] sumEntries = asDouble(mPlusMInv.getData());
for (int row = 0; row < m.getRowDimension(); row++) {
for (int col = 0; col < m.getColumnDimension(); col++) {
assertEquals("sum entry entry",
testDataPlusInv[row][col],sumEntries[row][col],
entryTolerance);
}
}
}
/** test add failure */
public void testAddFail() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl m2 = new BigMatrixImpl(testData2);
try {
m.add(m2);
fail("IllegalArgumentException expected");
} catch (IllegalArgumentException ex) {
// ignored
}
}
/** test norm */
public void testNorm() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl m2 = new BigMatrixImpl(testData2);
assertEquals("testData norm",14d,m.getNorm().doubleValue(),entryTolerance);
assertEquals("testData2 norm",7d,m2.getNorm().doubleValue(),entryTolerance);
}
/** test m-n = m + -n */
public void testPlusMinus() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl m2 = new BigMatrixImpl(testDataInv);
assertClose("m-n = m + -n",m.subtract(m2),
m2.scalarMultiply(new BigDecimal(-1d)).add(m),entryTolerance);
try {
m.subtract(new BigMatrixImpl(testData2));
fail("Expecting illegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
}
/** test multiply */
public void testMultiply() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl mInv = new BigMatrixImpl(testDataInv);
BigMatrixImpl identity = new BigMatrixImpl(id);
BigMatrixImpl m2 = new BigMatrixImpl(testData2);
assertClose("inverse multiply",m.multiply(mInv),
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(new BigMatrixImpl(bigSingular));
fail("Expecting illegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
}
//Additional Test for BigMatrixImplTest.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}};
public void testMultiply2() {
BigMatrix m3 = new BigMatrixImpl(d3);
BigMatrix m4 = new BigMatrixImpl(d4);
BigMatrix m5 = new BigMatrixImpl(d5);
assertClose("m3*m4=m5", m3.multiply(m4), m5, entryTolerance);
}
/** test isSingular */
public void testIsSingular() {
BigMatrixImpl m = new BigMatrixImpl(singular);
assertTrue("singular",m.isSingular());
m = new BigMatrixImpl(bigSingular);
assertTrue("big singular",m.isSingular());
m = new BigMatrixImpl(id);
assertTrue("identity nonsingular",!m.isSingular());
m = new BigMatrixImpl(testData);
assertTrue("testData nonsingular",!m.isSingular());
}
/** test inverse */
public void testInverse() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrix mInv = new BigMatrixImpl(testDataInv);
assertClose("inverse",mInv,m.inverse(),normTolerance);
assertClose("inverse^2",m,m.inverse().inverse(),10E-12);
// Not square
m = new BigMatrixImpl(testData2);
try {
m.inverse();
fail("Expecting InvalidMatrixException");
} catch (InvalidMatrixException ex) {
// expected
}
// Singular
m = new BigMatrixImpl(singular);
try {
m.inverse();
fail("Expecting InvalidMatrixException");
} catch (InvalidMatrixException ex) {
// expected
}
}
/** test solve */
public void testSolve() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrix mInv = new BigMatrixImpl(testDataInv);
// being a bit slothful here -- actually testing that X = A^-1 * B
assertClose("inverse-operate",
asDouble(mInv.operate(asBigDecimal(testVector))),
asDouble(m.solve(asBigDecimal(testVector))),
normTolerance);
try {
asDouble(m.solve(asBigDecimal(testVector2)));
fail("expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
BigMatrix bs = new BigMatrixImpl(bigSingular);
try {
bs.solve(bs);
fail("Expecting InvalidMatrixException");
} catch (InvalidMatrixException ex) {
// ignored
}
try {
m.solve(bs);
fail("Expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
try {
new BigMatrixImpl(testData2).solve(bs);
fail("Expecting illegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
try {
(new BigMatrixImpl(testData2)).luDecompose();
fail("Expecting InvalidMatrixException");
} catch (InvalidMatrixException ex) {
// ignored
}
}
/** test determinant */
public void testDeterminant() {
BigMatrix m = new BigMatrixImpl(bigSingular);
assertEquals("singular determinant",0,m.getDeterminant().doubleValue(),0);
m = new BigMatrixImpl(detData);
assertEquals("nonsingular test",-3d,m.getDeterminant().doubleValue(),normTolerance);
// Examples verified against R (version 1.8.1, Red Hat Linux 9)
m = new BigMatrixImpl(detData2);
assertEquals("nonsingular R test 1",-2d,m.getDeterminant().doubleValue(),normTolerance);
m = new BigMatrixImpl(testData);
assertEquals("nonsingular R test 2",-1d,m.getDeterminant().doubleValue(),normTolerance);
try {
double d = new BigMatrixImpl(testData2).getDeterminant().doubleValue();
fail("Expecting InvalidMatrixException, got " + d);
} catch (InvalidMatrixException ex) {
// ignored
}
}
/** test trace */
public void testTrace() {
BigMatrix m = new BigMatrixImpl(id);
assertEquals("identity trace",3d,m.getTrace().doubleValue(),entryTolerance);
m = new BigMatrixImpl(testData2);
try {
double t = m.getTrace().doubleValue();
fail("Expecting NonSquareMatrixException, got " + t);
} catch (NonSquareMatrixException ex) {
// ignored
}
}
/** test sclarAdd */
public void testScalarAdd() {
BigMatrix m = new BigMatrixImpl(testData);
assertClose("scalar add",new BigMatrixImpl(testDataPlus2),
m.scalarAdd(new BigDecimal(2d)),entryTolerance);
}
/** test operate */
public void testOperate() {
BigMatrix m = new BigMatrixImpl(id);
double[] x = asDouble(m.operate(asBigDecimal(testVector)));
assertClose("identity operate",testVector,x,entryTolerance);
m = new BigMatrixImpl(bigSingular);
try {
asDouble(m.operate(asBigDecimal(testVector)));
fail("Expecting illegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
}
/** test issue MATH-209 */
public void testMath209() {
BigMatrix a = new BigMatrixImpl(new BigDecimal[][] {
{ new BigDecimal(1), new BigDecimal(2) },
{ new BigDecimal(3), new BigDecimal(4) },
{ new BigDecimal(5), new BigDecimal(6) }
}, false);
BigDecimal[] b = a.operate(new BigDecimal[] { new BigDecimal(1), new BigDecimal(1) });
assertEquals(a.getRowDimension(), b.length);
assertEquals( 3.0, b[0].doubleValue(), 1.0e-12);
assertEquals( 7.0, b[1].doubleValue(), 1.0e-12);
assertEquals(11.0, b[2].doubleValue(), 1.0e-12);
}
/** test transpose */
public void testTranspose() {
BigMatrix m = new BigMatrixImpl(testData);
assertClose("inverse-transpose",m.inverse().transpose(),
m.transpose().inverse(),normTolerance);
m = new BigMatrixImpl(testData2);
BigMatrix mt = new BigMatrixImpl(testData2T);
assertClose("transpose",mt,m.transpose(),normTolerance);
}
/** test preMultiply by vector */
public void testPremultiplyVector() {
BigMatrix m = new BigMatrixImpl(testData);
assertClose("premultiply",asDouble(m.preMultiply(asBigDecimal(testVector))),preMultTest,normTolerance);
m = new BigMatrixImpl(bigSingular);
try {
m.preMultiply(asBigDecimal(testVector));
fail("expecting IllegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
}
public void testPremultiply() {
BigMatrix m3 = new BigMatrixImpl(d3);
BigMatrix m4 = new BigMatrixImpl(d4);
BigMatrix m5 = new BigMatrixImpl(d5);
assertClose("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance);
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl mInv = new BigMatrixImpl(testDataInv);
BigMatrixImpl identity = new BigMatrixImpl(id);
new BigMatrixImpl(testData2);
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(new BigMatrixImpl(bigSingular));
fail("Expecting illegalArgumentException");
} catch (IllegalArgumentException ex) {
// ignored
}
}
public void testGetVectors() {
BigMatrix m = new BigMatrixImpl(testData);
assertClose("get row",m.getRowAsDoubleArray(0),testDataRow1,entryTolerance);
assertClose("get col",m.getColumnAsDoubleArray(2),testDataCol3,entryTolerance);
try {
m.getRowAsDoubleArray(10);
fail("expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// ignored
}
try {
m.getColumnAsDoubleArray(-1);
fail("expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// ignored
}
}
public void testLUDecomposition() throws Exception {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrix lu = m.getLUMatrix();
assertClose("LU decomposition", lu, new BigMatrixImpl(testDataLU), normTolerance);
verifyDecomposition(m, lu);
m = new BigMatrixImpl(luData);
lu = m.getLUMatrix();
assertClose("LU decomposition", lu, new BigMatrixImpl(luDataLUDecomposition), normTolerance);
verifyDecomposition(m, lu);
m = new BigMatrixImpl(testDataMinus);
lu = m.getLUMatrix();
verifyDecomposition(m, lu);
m = new BigMatrixImpl(id);
lu = m.getLUMatrix();
verifyDecomposition(m, lu);
try {
m = new BigMatrixImpl(bigSingular); // singular
lu = m.getLUMatrix();
fail("Expecting InvalidMatrixException");
} catch (InvalidMatrixException ex) {
// expected
}
try {
m = new BigMatrixImpl(testData2); // not square
lu = m.getLUMatrix();
fail("Expecting InvalidMatrixException");
} catch (InvalidMatrixException ex) {
// expected
}
}
/**
* test submatrix accessors
*/
public void testSubMatrix() {
BigMatrix m = new BigMatrixImpl(subTestData);
BigMatrix mRows23Cols00 = new BigMatrixImpl(subRows23Cols00);
BigMatrix mRows00Cols33 = new BigMatrixImpl(subRows00Cols33);
BigMatrix mRows01Cols23 = new BigMatrixImpl(subRows01Cols23);
BigMatrix mRows02Cols13 = new BigMatrixImpl(subRows02Cols13);
BigMatrix mRows03Cols12 = new BigMatrixImpl(subRows03Cols12);
BigMatrix mRows03Cols123 = new BigMatrixImpl(subRows03Cols123);
BigMatrix mRows20Cols123 = new BigMatrixImpl(subRows20Cols123);
BigMatrix mRows31Cols31 = new BigMatrixImpl(subRows31Cols31);
assertEquals("Rows23Cols00", mRows23Cols00,
m.getSubMatrix(2 , 3 , 0, 0));
assertEquals("Rows00Cols33", mRows00Cols33,
m.getSubMatrix(0 , 0 , 3, 3));
assertEquals("Rows01Cols23", mRows01Cols23,
m.getSubMatrix(0 , 1 , 2, 3));
assertEquals("Rows02Cols13", mRows02Cols13,
m.getSubMatrix(new int[] {0,2}, new int[] {1,3}));
assertEquals("Rows03Cols12", mRows03Cols12,
m.getSubMatrix(new int[] {0,3}, new int[] {1,2}));
assertEquals("Rows03Cols123", mRows03Cols123,
m.getSubMatrix(new int[] {0,3}, new int[] {1,2,3}));
assertEquals("Rows20Cols123", mRows20Cols123,
m.getSubMatrix(new int[] {2,0}, new int[] {1,2,3}));
assertEquals("Rows31Cols31", mRows31Cols31,
m.getSubMatrix(new int[] {3,1}, new int[] {3,1}));
assertEquals("Rows31Cols31", mRows31Cols31,
m.getSubMatrix(new int[] {3,1}, new int[] {3,1}));
try {
m.getSubMatrix(1,0,2,4);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getSubMatrix(-1,1,2,2);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getSubMatrix(1,0,2,2);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getSubMatrix(1,0,2,4);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getSubMatrix(new int[] {}, new int[] {0});
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getSubMatrix(new int[] {0}, new int[] {4});
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
}
public void testGetColumnMatrix() {
BigMatrix m = new BigMatrixImpl(subTestData);
BigMatrix mColumn1 = new BigMatrixImpl(subColumn1);
BigMatrix mColumn3 = new BigMatrixImpl(subColumn3);
assertEquals("Column1", mColumn1,
m.getColumnMatrix(1));
assertEquals("Column3", mColumn3,
m.getColumnMatrix(3));
try {
m.getColumnMatrix(-1);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getColumnMatrix(4);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
}
public void testGetRowMatrix() {
BigMatrix m = new BigMatrixImpl(subTestData);
BigMatrix mRow0 = new BigMatrixImpl(subRow0);
BigMatrix mRow3 = new BigMatrixImpl(subRow3);
assertEquals("Row0", mRow0,
m.getRowMatrix(0));
assertEquals("Row3", mRow3,
m.getRowMatrix(3));
try {
m.getRowMatrix(-1);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
try {
m.getRowMatrix(4);
fail("Expecting MatrixIndexException");
} catch (MatrixIndexException ex) {
// expected
}
}
public void testEqualsAndHashCode() {
BigMatrixImpl m = new BigMatrixImpl(testData);
BigMatrixImpl m1 = (BigMatrixImpl) m.copy();
BigMatrixImpl mt = (BigMatrixImpl) m.transpose();
assertTrue(m.hashCode() != mt.hashCode());
assertEquals(m.hashCode(), m1.hashCode());
assertEquals(m, m);
assertEquals(m, m1);
assertFalse(m.equals(null));
assertFalse(m.equals(mt));
assertFalse(m.equals(new BigMatrixImpl(bigSingular)));
// Different scales make BigDecimals, so matrices unequal
m = new BigMatrixImpl(new String[][] {{"2.0"}});
m1 = new BigMatrixImpl(new String[][] {{"2.00"}});
assertTrue(m.hashCode() != m1.hashCode());
assertFalse(m.equals(m1));
}
public void testToString() {
BigMatrixImpl m = new BigMatrixImpl(testData);
assertEquals("BigMatrixImpl{{1,2,3},{2,5,3},{1,0,8}}",
m.toString());
m = new BigMatrixImpl();
assertEquals("BigMatrixImpl{}",
m.toString());
}
public void testSetSubMatrix() throws Exception {
BigDecimal[][] detData3 =
MatrixUtils.createBigMatrix(detData2).getData();
BigMatrixImpl m = new BigMatrixImpl(testData);
m.setSubMatrix(detData3,1,1);
BigMatrix expected = MatrixUtils.createBigMatrix
(new double[][] {{1.0,2.0,3.0},{2.0,1.0,3.0},{1.0,2.0,4.0}});
assertEquals(expected, m);
m.setSubMatrix(detData3,0,0);
expected = MatrixUtils.createBigMatrix
(new double[][] {{1.0,3.0,3.0},{2.0,4.0,3.0},{1.0,2.0,4.0}});
assertEquals(expected, m);
BigDecimal[][] testDataPlus3 =
MatrixUtils.createBigMatrix(testDataPlus2).getData();
m.setSubMatrix(testDataPlus3,0,0);
expected = MatrixUtils.createBigMatrix
(new double[][] {{3.0,4.0,5.0},{4.0,7.0,5.0},{3.0,2.0,10.0}});
assertEquals(expected, m);
// javadoc example
BigMatrixImpl matrix = (BigMatrixImpl) MatrixUtils.createBigMatrix
(new double[][] {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 0, 1 , 2}});
matrix.setSubMatrix(new BigDecimal[][] {{new BigDecimal(3),
new BigDecimal(4)}, {new BigDecimal(5), new BigDecimal(6)}}, 1, 1);
expected = MatrixUtils.createBigMatrix
(new BigDecimal[][] {{new BigDecimal(1), new BigDecimal(2),
new BigDecimal(3), new BigDecimal(4)}, {new BigDecimal(5),
new BigDecimal(3), new BigDecimal(4), new BigDecimal(8)},
{new BigDecimal(9), new BigDecimal(5) , new BigDecimal(6),
new BigDecimal(2)}});
assertEquals(expected, matrix);
// dimension overflow
try {
m.setSubMatrix(matrix.getData(),1,1);
fail("expecting MatrixIndexException");
} catch (MatrixIndexException e) {
// expected
}
// null
try {
m.setSubMatrix(null,1,1);
fail("expecting NullPointerException");
} catch (NullPointerException e) {
// expected
}
// ragged
try {
m.setSubMatrix(new BigDecimal[][] {{new BigDecimal(1)},
{new BigDecimal(2), new BigDecimal(3)}}, 0, 0);
fail("expecting IllegalArgumentException");
} catch (IllegalArgumentException e) {
// expected
}
// empty
try {
m.setSubMatrix(new BigDecimal[][] {{}}, 0, 0);
fail("expecting IllegalArgumentException");
} catch (IllegalArgumentException e) {
// expected
}
}
//--------------- -----------------Protected methods
/** verifies that two matrices are close (1-norm) */
protected void assertClose(String msg, BigMatrix m, BigMatrix n,
double tolerance) {
assertTrue(msg,m.subtract(n).getNorm().doubleValue() < 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) {
fail("vectors not same length");
}
for (int i = 0; i < m.length; i++) {
assertEquals(msg + " " + i + " elements differ",
m[i],n[i],tolerance);
}
}
/** extracts the l and u matrices from compact lu representation */
protected void splitLU(BigMatrix lu, BigDecimal[][] lowerData, BigDecimal[][] upperData) throws InvalidMatrixException {
if (!lu.isSquare() || lowerData.length != lowerData[0].length || upperData.length != upperData[0].length ||
lowerData.length != upperData.length
|| lowerData.length != lu.getRowDimension()) {
throw new InvalidMatrixException("incorrect dimensions");
}
int n = lu.getRowDimension();
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (j < i) {
lowerData[i][j] = lu.getEntry(i, j);
upperData[i][j] = new BigDecimal(0);
} else if (i == j) {
lowerData[i][j] = new BigDecimal(1);
upperData[i][j] = lu.getEntry(i, j);
} else {
lowerData[i][j] = new BigDecimal(0);
upperData[i][j] = lu.getEntry(i, j);
}
}
}
}
/** Returns the result of applying the given row permutation to the matrix */
protected BigMatrix permuteRows(BigMatrix matrix, int[] permutation) {
if (!matrix.isSquare() || matrix.getRowDimension() != permutation.length) {
throw new IllegalArgumentException("dimension mismatch");
}
int n = matrix.getRowDimension();
int m = matrix.getColumnDimension();
BigDecimal out[][] = new BigDecimal[m][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
out[i][j] = matrix.getEntry(permutation[i], j);
}
}
return new BigMatrixImpl(out);
}
/** Extracts l and u matrices from lu and verifies that matrix = l times u modulo permutation */
protected void verifyDecomposition(BigMatrix matrix, BigMatrix lu) throws Exception{
int n = matrix.getRowDimension();
BigDecimal[][] lowerData = new BigDecimal[n][n];
BigDecimal[][] upperData = new BigDecimal[n][n];
splitLU(lu, lowerData, upperData);
BigMatrix lower =new BigMatrixImpl(lowerData);
BigMatrix upper = new BigMatrixImpl(upperData);
int[] permutation = ((BigMatrixImpl) matrix).getPermutation();
BigMatrix permuted = permuteRows(matrix, permutation);
assertClose("lu decomposition does not work", permuted,
lower.multiply(upper), normTolerance);
}
// /** Useful for debugging */
// private void dumpMatrix(BigMatrix m) {
// for (int i = 0; i < m.getRowDimension(); i++) {
// String os = "";
// for (int j = 0; j < m.getColumnDimension(); j++) {
// os += m.getEntry(i, j) + " ";
// }
// System.out.println(os);
// }
// }
}
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