| /* |
| * 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.math3.linear; |
| |
| import org.junit.Test; |
| import org.junit.Assert; |
| |
| import org.apache.commons.math3.TestUtils; |
| import org.apache.commons.math3.exception.NullArgumentException; |
| import org.apache.commons.math3.exception.OutOfRangeException; |
| import org.apache.commons.math3.exception.NoDataException; |
| import org.apache.commons.math3.exception.NumberIsTooSmallException; |
| import org.apache.commons.math3.exception.MathIllegalArgumentException; |
| |
| /** |
| * 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; |
| } |
| } |
