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Commons Math example source code file (SparseRealMatrixTest.java)
The Commons Math SparseRealMatrixTest.java source code/* * 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 junit.framework.TestCase; import org.apache.commons.math.TestUtils; /** * Test cases for the {@link OpenMapRealMatrix} class. * * @version $Revision: 902201 $ $Date: 2008-11-07 06:48:13 -0800 (Fri, 07 Nov * 2008) $ */ public final class SparseRealMatrixTest extends TestCase { // 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 SparseRealMatrixTest(String name) { super(name); } /** test dimensions */ public void testDimensions() { OpenMapRealMatrix m = createSparseMatrix(testData); OpenMapRealMatrix 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() { OpenMapRealMatrix m1 = createSparseMatrix(testData); RealMatrix m2 = m1.copy(); assertEquals(m1.getClass(), m2.getClass()); assertEquals((m2), m1); OpenMapRealMatrix m3 = createSparseMatrix(testData); RealMatrix m4 = m3.copy(); assertEquals(m3.getClass(), m4.getClass()); assertEquals((m4), m3); } /** test add */ 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++) { assertEquals("sum entry entry", mDataPlusInv.getEntry(row, col), mPlusMInv.getEntry(row, col), entryTolerance); } } } /** test add failure */ public void testAddFail() { OpenMapRealMatrix m = createSparseMatrix(testData); OpenMapRealMatrix m2 = createSparseMatrix(testData2); try { m.add(m2); fail("IllegalArgumentException expected"); } catch (IllegalArgumentException ex) { // ignored } } /** test norm */ public void testNorm() { OpenMapRealMatrix m = createSparseMatrix(testData); OpenMapRealMatrix m2 = createSparseMatrix(testData2); assertEquals("testData norm", 14d, m.getNorm(), entryTolerance); assertEquals("testData2 norm", 7d, m2.getNorm(), entryTolerance); } /** test m-n = m + -n */ 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)); fail("Expecting illegalArgumentException"); } catch (IllegalArgumentException ex) { // ignored } } /** test multiply */ 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)); fail("Expecting illegalArgumentException"); } catch (IllegalArgumentException 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 } }; 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 */ public void testTrace() { RealMatrix m = createSparseMatrix(id); assertEquals("identity trace", 3d, m.getTrace(), entryTolerance); m = createSparseMatrix(testData2); try { m.getTrace(); fail("Expecting NonSquareMatrixException"); } catch (NonSquareMatrixException ex) { // ignored } } /** test sclarAdd */ public void testScalarAdd() { RealMatrix m = createSparseMatrix(testData); assertClose("scalar add", createSparseMatrix(testDataPlus2), m.scalarAdd(2d), entryTolerance); } /** test operate */ public void testOperate() { RealMatrix m = createSparseMatrix(id); assertClose("identity operate", testVector, m.operate(testVector), entryTolerance); assertClose("identity operate", testVector, m.operate( new ArrayRealVector(testVector)).getData(), entryTolerance); m = createSparseMatrix(bigSingular); try { m.operate(testVector); fail("Expecting illegalArgumentException"); } catch (IllegalArgumentException ex) { // ignored } } /** test issue MATH-209 */ public void testMath209() { RealMatrix a = createSparseMatrix(new double[][] { { 1, 2 }, { 3, 4 }, { 5, 6 } }); double[] b = a.operate(new double[] { 1, 1 }); assertEquals(a.getRowDimension(), b.length); assertEquals(3.0, b[0], 1.0e-12); assertEquals(7.0, b[1], 1.0e-12); assertEquals(11.0, b[2], 1.0e-12); } /** test transpose */ public void testTranspose() { RealMatrix m = createSparseMatrix(testData); RealMatrix mIT = new LUDecompositionImpl(m).getSolver().getInverse().transpose(); RealMatrix mTI = new LUDecompositionImpl(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 */ public void testPremultiplyVector() { RealMatrix m = createSparseMatrix(testData); assertClose("premultiply", m.preMultiply(testVector), preMultTest, normTolerance); assertClose("premultiply", m.preMultiply( new ArrayRealVector(testVector).getData()), preMultTest, normTolerance); m = createSparseMatrix(bigSingular); try { m.preMultiply(testVector); fail("expecting IllegalArgumentException"); } catch (IllegalArgumentException ex) { // ignored } } 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)); fail("Expecting illegalArgumentException"); } catch (IllegalArgumentException ex) { // ignored } } 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); fail("expecting MatrixIndexException"); } catch (MatrixIndexException ex) { // ignored } try { m.getColumn(-1); fail("expecting MatrixIndexException"); } catch (MatrixIndexException ex) { // ignored } } public void testGetEntry() { RealMatrix m = createSparseMatrix(testData); assertEquals("get entry", m.getEntry(0, 1), 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 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); assertEquals(2, p.getRowDimension()); assertEquals(2, p.getColumnDimension()); // Invert p RealMatrix pInverse = new LUDecompositionImpl(p).getSolver().getInverse(); assertEquals(2, pInverse.getRowDimension()); assertEquals(2, pInverse.getColumnDimension()); // Solve example double[][] coefficientsData = { { 2, 3, -2 }, { -1, 7, 6 }, { 4, -3, -5 } }; RealMatrix coefficients = createSparseMatrix(coefficientsData); double[] constants = { 1, -2, 1 }; double[] solution = new LUDecompositionImpl(coefficients).getSolver().solve(constants); assertEquals(2 * solution[0] + 3 * solution[1] - 2 * solution[2], constants[0], 1E-12); assertEquals(-1 * solution[0] + 7 * solution[1] + 6 * solution[2], constants[1], 1E-12); assertEquals(4 * solution[0] - 3 * solution[1] - 5 * solution[2], constants[2], 1E-12); } // test submatrix accessors 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); 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() { RealMatrix m = createSparseMatrix(subTestData); RealMatrix mRow0 = createSparseMatrix(subRow0); RealMatrix 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() { RealMatrix m = createSparseMatrix(subTestData); RealMatrix mColumn1 = createSparseMatrix(subColumn1); RealMatrix 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() { RealMatrix m = createSparseMatrix(subTestData); RealVector mRow0 = new ArrayRealVector(subRow0[0]); RealVector mRow3 = new ArrayRealVector(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() { RealMatrix m = createSparseMatrix(subTestData); RealVector mColumn1 = columnToVector(subColumn1); RealVector 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 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); } public void testEqualsAndHashCode() { OpenMapRealMatrix m = createSparseMatrix(testData); OpenMapRealMatrix m1 = m.copy(); OpenMapRealMatrix mt = (OpenMapRealMatrix) 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))); } public void testToString() { OpenMapRealMatrix m = createSparseMatrix(testData); 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); assertEquals("OpenMapRealMatrix{{0.0}}", m.toString()); } public void testSetSubMatrix() throws Exception { 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 } }); 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 } }); 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 } }); 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 } }); 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 OpenMapRealMatrix(0, 0); fail("expecting IllegalArgumentException"); } catch (IllegalArgumentException e) { // expected } // ragged try { m.setSubMatrix(new double[][] { { 1 }, { 2, 3 } }, 0, 0); fail("expecting IllegalArgumentException"); } catch (IllegalArgumentException e) { // expected } // empty try { m.setSubMatrix(new double[][] { {} }, 0, 0); fail("expecting IllegalArgumentException"); } catch (IllegalArgumentException e) { // expected } } public void testSerial() { OpenMapRealMatrix m = createSparseMatrix(testData); 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) { 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) { fail("vectors not same length"); } for (int i = 0; i < m.length; i++) { 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; } } Other Commons Math examples (source code examples)Here is a short list of links related to this Commons Math SparseRealMatrixTest.java source code file: |
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