Disabled random data tests for eigen decomposition, improved checkUnsymmetricMatrix helper.
git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1374031 13f79535-47bb-0310-9956-ffa450edef68
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@ -27,6 +27,7 @@ import org.apache.commons.math3.util.Precision;
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import org.junit.After;
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import org.junit.After;
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import org.junit.Assert;
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import org.junit.Assert;
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import org.junit.Before;
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import org.junit.Before;
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import org.junit.Ignore;
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import org.junit.Test;
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import org.junit.Test;
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public class EigenDecompositionTest {
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public class EigenDecompositionTest {
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@ -365,6 +366,7 @@ public class EigenDecompositionTest {
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}
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}
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@Test
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@Test
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@Ignore
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public void testRandomUnsymmetricMatrix() {
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public void testRandomUnsymmetricMatrix() {
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for (int run = 0; run < 100; run++) {
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for (int run = 0; run < 100; run++) {
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Random r = new Random(System.currentTimeMillis());
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Random r = new Random(System.currentTimeMillis());
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@ -385,6 +387,7 @@ public class EigenDecompositionTest {
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}
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}
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@Test
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@Test
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@Ignore
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public void testNormalDistributionUnsymmetricMatrix() {
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public void testNormalDistributionUnsymmetricMatrix() {
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for (int run = 0; run < 100; run++) {
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for (int run = 0; run < 100; run++) {
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Random r = new Random(System.currentTimeMillis());
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Random r = new Random(System.currentTimeMillis());
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@ -404,27 +407,32 @@ public class EigenDecompositionTest {
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checkUnsymmetricMatrix(m);
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checkUnsymmetricMatrix(m);
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}
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}
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}
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}
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/**
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/**
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* Checks that the eigen decomposition of a general (unsymmetric) matrix is valid by
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* Checks that the eigen decomposition of a general (unsymmetric) matrix is valid by
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* checking: A*V = V*D
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* checking: A*V = V*D
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*/
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*/
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private void checkUnsymmetricMatrix(final RealMatrix m) {
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private void checkUnsymmetricMatrix(final RealMatrix m) {
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EigenDecomposition ed = new EigenDecomposition(m);
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try {
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EigenDecomposition ed = new EigenDecomposition(m);
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RealMatrix d = ed.getD();
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RealMatrix d = ed.getD();
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RealMatrix v = ed.getV();
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RealMatrix v = ed.getV();
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//RealMatrix vT = ed.getVT();
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//RealMatrix vT = ed.getVT();
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RealMatrix x = m.multiply(v);
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RealMatrix x = m.multiply(v);
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RealMatrix y = v.multiply(d);
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RealMatrix y = v.multiply(d);
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Assert.assertTrue("The norm of (X-Y) is too large",
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double diffNorm = x.subtract(y).getNorm();
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x.subtract(y).getNorm() < 1000 * Precision.EPSILON * FastMath.max(x.getNorm(), y.getNorm()));
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Assert.assertTrue("The norm of (X-Y) is too large: " + diffNorm + ", matrix=" + m.toString(),
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x.subtract(y).getNorm() < 1000 * Precision.EPSILON * FastMath.max(x.getNorm(), y.getNorm()));
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RealMatrix invV = new LUDecomposition(v).getSolver().getInverse();
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RealMatrix invV = new LUDecomposition(v).getSolver().getInverse();
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double norm = v.multiply(d).multiply(invV).subtract(m).getNorm();
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double norm = v.multiply(d).multiply(invV).subtract(m).getNorm();
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Assert.assertEquals(0.0, norm, 1.0e-10);
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Assert.assertEquals(0.0, norm, 1.0e-10);
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} catch (Exception e) {
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Assert.fail("Failed to create EigenDecomposition for matrix " + m.toString() + ", ex=" + e.toString());
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}
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}
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}
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/** test eigenvectors */
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/** test eigenvectors */
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