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From billbar...@apache.org
Subject svn commit: r772042 - /commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java
Date Wed, 06 May 2009 03:26:56 GMT
Author: billbarker
Date: Wed May  6 03:26:55 2009
New Revision: 772042

URL: http://svn.apache.org/viewvc?rev=772042&view=rev
Log:
Adding unit test for SparseFieldMatrix

Added:
    commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java
  (with props)

Added: commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java
URL: http://svn.apache.org/viewvc/commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java?rev=772042&view=auto
==============================================================================
--- commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java
(added)
+++ commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java
Wed May  6 03:26:55 2009
@@ -0,0 +1,694 @@
+/*
+ * 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.math.linear;
+
+import org.apache.commons.math.Field;
+import org.apache.commons.math.fraction.Fraction;
+import org.apache.commons.math.fraction.FractionConversionException;
+import org.apache.commons.math.fraction.FractionField;
+import org.apache.commons.math.linear.decomposition.FieldLUDecompositionImpl;
+import org.apache.commons.math.linear.decomposition.NonSquareMatrixException;
+
+import junit.framework.Test;
+import junit.framework.TestCase;
+import junit.framework.TestSuite;
+
+/**
+ * Test cases for the {@link SparseFieldMatrix} class.
+ *
+ * @version $Revision: 728186 $ $Date: 2009-04-20 11:42:11 -0700 (Mon, 20 Apr 2009) $
+ */
+public class SparseFieldMatrixTest extends TestCase {
+    // 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 = null;
+    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 = null;
+
+    // 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 = null;
+
+    // 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 = null;
+
+    // contiguous ranges
+    protected Fraction[][] subRows01Cols23 = null;
+    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 = null;
+    protected Fraction[][] subColumn3 = null;
+
+    // tolerances
+    protected double entryTolerance = 10E-16;
+    protected double normTolerance = 10E-14;
+    protected Field<Fraction> field = FractionField.getInstance();
+
+    public SparseFieldMatrixTest(String name) {
+        super(name);
+        setupFractionArrays();
+    }
+
+    private void setupFractionArrays() {
+        try {
+            testDataLU = new Fraction[][]{ { new Fraction(2), new Fraction(5), new Fraction(3)
}, { new Fraction(.5d), new Fraction(-2.5d), new Fraction(6.5d) },
+                    { new Fraction(0.5d), new Fraction(0.2d), new Fraction(.2d) } };
+            luDataLUDecomposition = new Fraction[][]{ { new Fraction(6), new Fraction(9),
new Fraction(8) },
+                { new Fraction(0), new Fraction(5), new Fraction(7) }, { new Fraction(0.33333333333333),
new Fraction(0), new Fraction(0.33333333333333) } };
+            subTestData = new Fraction [][]{ { new Fraction(1), new Fraction(2), new Fraction(3),
new Fraction(4) },
+                    { new Fraction(1.5), new Fraction(2.5), new Fraction(3.5), new Fraction(4.5)
}, { new Fraction(2), new Fraction(4), new Fraction(6), new Fraction(8) }, { new Fraction(4),
new Fraction(5), new Fraction(6), new Fraction(7) } };
+            subRows31Cols31 = new Fraction[][]{ { new Fraction(7), new Fraction(5) }, { new
Fraction(4.5), new Fraction(2.5) } };
+            subRows01Cols23 = new Fraction[][]{ { new Fraction(3), new Fraction(4) }, { new
Fraction(3.5), new Fraction(4.5) } };
+            subColumn1 = new Fraction [][]{ { new Fraction(2) }, { new Fraction(2.5) }, {
new Fraction(4) }, { new Fraction(5) } };
+            subColumn3 = new Fraction[][]{ { new Fraction(4) }, { new Fraction(4.5) }, {
new Fraction(8) }, { new Fraction(7) } };
+        } catch (FractionConversionException e) {
+            // ignore, can't happen
+        }
+        
+                
+    }
+
+    public static Test suite() {
+        TestSuite suite = new TestSuite(SparseFieldMatrixTest.class);
+        suite.setName("SparseFieldMatrix<Fraction> Tests");
+        return suite;
+    }
+
+    /** test dimensions */
+    public void testDimensions() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> m2 = createSparseMatrix(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() {
+        SparseFieldMatrix<Fraction> m1 = createSparseMatrix(testData);
+        FieldMatrix<Fraction> m2 = m1.copy();
+        assertTrue(m2 instanceof SparseFieldMatrix);
+        assertEquals((m2), m1);
+        SparseFieldMatrix<Fraction> m3 = createSparseMatrix(testData);
+        FieldMatrix<Fraction> m4 = m3.copy();
+        assertTrue(m4 instanceof SparseFieldMatrix);
+        assertEquals((m4), m3);
+    }
+
+    /** test add */
+    public void testAdd() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> mInv = createSparseMatrix(testDataInv);
+        SparseFieldMatrix<Fraction> mDataPlusInv = createSparseMatrix(testDataPlusInv);
+        FieldMatrix<Fraction> mPlusMInv = m.add(mInv);
+        for (int row = 0; row < m.getRowDimension(); row++) {
+            for (int col = 0; col < m.getColumnDimension(); col++) {
+                assertEquals("sum entry entry", 
+                    mDataPlusInv.getEntry(row, col).doubleValue(), mPlusMInv.getEntry(row,
col).doubleValue(), 
+                    entryTolerance);
+            }
+        }
+    }
+
+    /** test add failure */
+    public void testAddFail() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> m2 = createSparseMatrix(testData2);
+        try {
+            m.add(m2);
+            fail("IllegalArgumentException expected");
+        } catch (IllegalArgumentException ex) {
+            // ignored
+        }
+    }
+
+    
+    /** test m-n = m + -n */
+    public void testPlusMinus() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> n = createSparseMatrix(testDataInv);
+        assertClose("m-n = m + -n", m.subtract(n),
+            n.scalarMultiply(new Fraction(-1)).add(m), entryTolerance);
+        try {
+            m.subtract(createSparseMatrix(testData2));
+            fail("Expecting illegalArgumentException");
+        } catch (IllegalArgumentException ex) {
+            // ignored
+        }
+    }
+
+    /** test multiply */
+    public void testMultiply() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> mInv = createSparseMatrix(testDataInv);
+        SparseFieldMatrix<Fraction> identity = createSparseMatrix(id);
+        SparseFieldMatrix<Fraction> m2 = createSparseMatrix(testData2);
+        assertClose("inverse multiply", m.multiply(mInv), identity,
+                entryTolerance);
+        assertClose("inverse multiply", m.multiply(new FieldMatrixImpl<Fraction>(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));
+            fail("Expecting illegalArgumentException");
+        } catch (IllegalArgumentException ex) {
+            // ignored
+        }
+    }
+
+    // Additional Test for RealMatrixImplTest.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)
} };
+
+    public void testMultiply2() {
+        FieldMatrix<Fraction> m3 = createSparseMatrix(d3);
+        FieldMatrix<Fraction> m4 = createSparseMatrix(d4);
+        FieldMatrix<Fraction> m5 = createSparseMatrix(d5);
+        assertClose("m3*m4=m5", m3.multiply(m4), m5, entryTolerance);
+    }
+
+    /** test trace */
+    public void testTrace() {
+        FieldMatrix<Fraction> m = createSparseMatrix(id);
+        assertEquals("identity trace", 3d, m.getTrace().doubleValue(), entryTolerance);
+        m = createSparseMatrix(testData2);
+        try {
+            m.getTrace();
+            fail("Expecting NonSquareMatrixException");
+        } catch (NonSquareMatrixException ex) {
+            // ignored
+        }
+    }
+
+    /** test sclarAdd */
+    public void testScalarAdd() {
+        FieldMatrix<Fraction> m = createSparseMatrix(testData);
+        assertClose("scalar add", createSparseMatrix(testDataPlus2), 
+            m.scalarAdd(new Fraction(2)), entryTolerance);
+    }
+
+    /** test operate */
+    public void testOperate() {
+        FieldMatrix<Fraction> m = createSparseMatrix(id);
+        assertClose("identity operate", testVector, m.operate(testVector),
+                entryTolerance);
+        assertClose("identity operate", testVector, m.operate(
+                new FieldVectorImpl<Fraction>(testVector)).getData(), entryTolerance);
+        m = createSparseMatrix(bigSingular);
+        try {
+            m.operate(testVector);
+            fail("Expecting illegalArgumentException");
+        } catch (IllegalArgumentException ex) {
+            // ignored
+        }
+    }
+
+    /** test issue MATH-209 */
+    public void testMath209() {
+        FieldMatrix<Fraction> a = createSparseMatrix(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) });
+        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() {
+        
+        FieldMatrix<Fraction> m = createSparseMatrix(testData); 
+        FieldMatrix<Fraction> mIT = new FieldLUDecompositionImpl<Fraction>(m).getSolver().getInverse().transpose();
+        FieldMatrix<Fraction> mTI = new FieldLUDecompositionImpl<Fraction>(m.transpose()).getSolver().getInverse();
+        assertClose("inverse-transpose", mIT, mTI, normTolerance);
+        m = createSparseMatrix(testData2);
+        FieldMatrix<Fraction> mt = createSparseMatrix(testData2T);
+        assertClose("transpose",mt,m.transpose(),normTolerance);
+    }
+
+    /** test preMultiply by vector */
+    public void testPremultiplyVector() {
+        FieldMatrix<Fraction> m = createSparseMatrix(testData);
+        assertClose("premultiply", m.preMultiply(testVector), preMultTest,
+            normTolerance);
+        assertClose("premultiply", m.preMultiply(
+            new FieldVectorImpl<Fraction>(testVector).getData()), preMultTest, normTolerance);
+        m = createSparseMatrix(bigSingular);
+        try {
+            m.preMultiply(testVector);
+            fail("expecting IllegalArgumentException");
+        } catch (IllegalArgumentException ex) {
+            // ignored
+        }
+    }
+
+    public void testPremultiply() {
+        FieldMatrix<Fraction> m3 = createSparseMatrix(d3);
+        FieldMatrix<Fraction> m4 = createSparseMatrix(d4);
+        FieldMatrix<Fraction> m5 = createSparseMatrix(d5);
+        assertClose("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance);
+
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> mInv = createSparseMatrix(testDataInv);
+        SparseFieldMatrix<Fraction> 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));
+            fail("Expecting illegalArgumentException");
+        } catch (IllegalArgumentException ex) {
+            // ignored
+        }
+    }
+
+    public void testGetVectors() {
+        FieldMatrix<Fraction> m = createSparseMatrix(testData);
+        assertClose("get row", m.getRow(0), testDataRow1, entryTolerance);
+        assertClose("get col", m.getColumn(2), testDataCol3, entryTolerance);
+        try {
+            m.getRow(10);
+            fail("expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // ignored
+        }
+        try {
+            m.getColumn(-1);
+            fail("expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // ignored
+        }
+    }
+
+    public void testGetEntry() {
+        FieldMatrix<Fraction> m = createSparseMatrix(testData);
+        assertEquals("get entry", m.getEntry(0, 1).doubleValue(), 2d, entryTolerance);
+        try {
+            m.getEntry(10, 4);
+            fail("Expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // expected
+        }
+    }
+
+    /** test examples in user guide */
+    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 = createSparseMatrix(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 = createSparseMatrix(matrixData2);
+        // Now multiply m by n
+        FieldMatrix<Fraction> p = m.multiply(n);
+        assertEquals(2, p.getRowDimension());
+        assertEquals(2, p.getColumnDimension());
+        // Invert p
+        FieldMatrix<Fraction> pInverse = new FieldLUDecompositionImpl<Fraction>(p).getSolver().getInverse();

+        assertEquals(2, pInverse.getRowDimension());
+        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 = createSparseMatrix(coefficientsData);
+        Fraction[] constants = { new Fraction(1), new Fraction(-2), new Fraction(1) };
+        Fraction[] solution = new FieldLUDecompositionImpl<Fraction>(coefficients).getSolver().solve(constants);
+        assertEquals((new Fraction(2).multiply((solution[0])).add(new Fraction(3).multiply(solution[1])).subtract(new
Fraction(2).multiply(solution[2]))).doubleValue(),
+                constants[0].doubleValue(), 1E-12);
+        assertEquals(((new Fraction(-1).multiply(solution[0])).add(new Fraction(7).multiply(solution[1])).add(new
Fraction(6).multiply(solution[2]))).doubleValue(),
+                constants[1].doubleValue(), 1E-12);
+        assertEquals(((new Fraction(4).multiply(solution[0])).subtract(new Fraction(3).multiply(
solution[1])).subtract(new Fraction(5).multiply(solution[2]))).doubleValue(),
+                constants[2].doubleValue(), 1E-12);
+
+    }
+
+    // test submatrix accessors
+    public void testSubMatrix() {
+        FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
+        FieldMatrix<Fraction> mRows23Cols00 = createSparseMatrix(subRows23Cols00);
+        FieldMatrix<Fraction> mRows00Cols33 = createSparseMatrix(subRows00Cols33);
+        FieldMatrix<Fraction> mRows01Cols23 = createSparseMatrix(subRows01Cols23);
+        FieldMatrix<Fraction> mRows02Cols13 = createSparseMatrix(subRows02Cols13);
+        FieldMatrix<Fraction> mRows03Cols12 = createSparseMatrix(subRows03Cols12);
+        FieldMatrix<Fraction> mRows03Cols123 = createSparseMatrix(subRows03Cols123);
+        FieldMatrix<Fraction> mRows20Cols123 = createSparseMatrix(subRows20Cols123);
+        FieldMatrix<Fraction> mRows31Cols31 = createSparseMatrix(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 testGetRowMatrix() {
+        FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
+        FieldMatrix<Fraction> mRow0 = createSparseMatrix(subRow0);
+        FieldMatrix<Fraction> mRow3 = createSparseMatrix(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 testGetColumnMatrix() {
+        FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
+        FieldMatrix<Fraction> mColumn1 = createSparseMatrix(subColumn1);
+        FieldMatrix<Fraction> mColumn3 = createSparseMatrix(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 testGetRowVector() {
+        FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
+        FieldVector<Fraction> mRow0 = new FieldVectorImpl<Fraction>(subRow0[0]);
+        FieldVector<Fraction> mRow3 = new FieldVectorImpl<Fraction>(subRow3[0]);
+        assertEquals("Row0", mRow0, m.getRowVector(0));
+        assertEquals("Row3", mRow3, m.getRowVector(3));
+        try {
+            m.getRowVector(-1);
+            fail("Expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // expected
+        }
+        try {
+            m.getRowVector(4);
+            fail("Expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // expected
+        }
+    }
+
+    public void testGetColumnVector() {
+        FieldMatrix<Fraction> m = createSparseMatrix(subTestData);
+        FieldVector<Fraction> mColumn1 = columnToVector(subColumn1);
+        FieldVector<Fraction> mColumn3 = columnToVector(subColumn3);
+        assertEquals("Column1", mColumn1, m.getColumnVector(1));
+        assertEquals("Column3", mColumn3, m.getColumnVector(3));
+        try {
+            m.getColumnVector(-1);
+            fail("Expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // expected
+        }
+        try {
+            m.getColumnVector(4);
+            fail("Expecting MatrixIndexException");
+        } catch (MatrixIndexException ex) {
+            // expected
+        }
+    }
+
+    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 FieldVectorImpl<Fraction>(data, false);
+    }
+
+    public void testEqualsAndHashCode() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        SparseFieldMatrix<Fraction> m1 = (SparseFieldMatrix<Fraction>) m.copy();
+        SparseFieldMatrix<Fraction> mt = (SparseFieldMatrix<Fraction>) 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(createSparseMatrix(bigSingular)));
+    }
+
+    /* Disable for now
+    public void testToString() {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        assertEquals("SparseFieldMatrix<Fraction>{{1.0,2.0,3.0},{2.0,5.0,3.0},{1.0,0.0,8.0}}",

+            m.toString());
+        m = new SparseFieldMatrix<Fraction>(field, 1, 1);
+        assertEquals("SparseFieldMatrix<Fraction>{{0.0}}", m.toString());
+    }
+    */
+
+    public void testSetSubMatrix() throws Exception {
+        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
+        m.setSubMatrix(detData2, 1, 1);
+        FieldMatrix<Fraction> expected = createSparseMatrix(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) }
});
+        assertEquals(expected, m);
+
+        m.setSubMatrix(detData2, 0, 0);
+        expected = createSparseMatrix(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) }
});
+        assertEquals(expected, m);
+
+        m.setSubMatrix(testDataPlus2, 0, 0);
+        expected = createSparseMatrix(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) }
});
+        assertEquals(expected, m);
+
+        // javadoc example
+        SparseFieldMatrix<Fraction> matrix = 
+            createSparseMatrix(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 = createSparseMatrix(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) } });
+        assertEquals(expected, matrix);
+
+        // dimension overflow
+        try {
+            m.setSubMatrix(testData, 1, 1);
+            fail("expecting MatrixIndexException");
+        } catch (MatrixIndexException e) {
+            // expected
+        }
+        // dimension underflow
+        try {
+            m.setSubMatrix(testData, -1, 1);
+            fail("expecting MatrixIndexException");
+        } catch (MatrixIndexException e) {
+            // expected
+        }
+        try {
+            m.setSubMatrix(testData, 1, -1);
+            fail("expecting MatrixIndexException");
+        } catch (MatrixIndexException e) {
+            // expected
+        }
+
+        // null
+        try {
+            m.setSubMatrix(null, 1, 1);
+            fail("expecting NullPointerException");
+        } catch (NullPointerException e) {
+            // expected
+        }
+        try {
+            new SparseFieldMatrix<Fraction>(field, 0, 0);
+            fail("expecting IllegalArgumentException");
+        } catch (IllegalArgumentException e) {
+            // expected
+        }
+
+        // ragged
+        try {
+            m.setSubMatrix(new Fraction[][] { { new Fraction(1) }, { new Fraction(2), new
Fraction(3) } }, 0, 0);
+            fail("expecting IllegalArgumentException");
+        } catch (IllegalArgumentException e) {
+            // expected
+        }
+
+        // empty
+        try {
+            m.setSubMatrix(new Fraction[][] { {} }, 0, 0);
+            fail("expecting IllegalArgumentException");
+        } catch (IllegalArgumentException e) {
+            // expected
+        }
+
+    }
+
+    // --------------- -----------------Protected methods
+
+    /** verifies that two matrices are close (1-norm) */
+    protected void assertClose(String msg, FieldMatrix<Fraction> m, FieldMatrix<Fraction>
n,
+            double tolerance) {
+        for(int i=0; i < m.getRowDimension(); i++){
+            for(int j=0; j < m.getColumnDimension(); j++){
+                assertEquals(msg, m.getEntry(i,j).doubleValue(), n.getEntry(i,j).doubleValue(),
tolerance);
+            }
+            
+        }
+    }
+
+    /** verifies that two vectors are close (sup norm) */
+    protected void assertClose(String msg, Fraction[] m, Fraction[] 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].doubleValue(), n[i].doubleValue(),
+                    tolerance);
+        }
+    }
+    
+    private SparseFieldMatrix<Fraction> createSparseMatrix(Fraction[][] data) {
+        SparseFieldMatrix<Fraction> matrix = new SparseFieldMatrix<Fraction>(field,
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;
+    }
+
+}

Propchange: commons/proper/math/trunk/src/test/org/apache/commons/math/linear/SparseFieldMatrixTest.java
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