| /* |
| * 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.util.FastMath; |
| import org.apache.commons.math3.exception.DimensionMismatchException; |
| 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; |
| import org.apache.commons.math3.exception.MathIllegalStateException; |
| |
| /** |
| * Test cases for the {@link Array2DRowRealMatrix} class. |
| * |
| */ |
| |
| public final class Array2DRowRealMatrixTest { |
| |
| // 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; |
| protected double powerTolerance = 10E-16; |
| |
| /** test dimensions */ |
| @Test |
| public void testDimensions() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(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() { |
| Array2DRowRealMatrix m1 = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(m1.getData()); |
| Assert.assertEquals(m2,m1); |
| Array2DRowRealMatrix m3 = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m4 = new Array2DRowRealMatrix(m3.getData(), false); |
| Assert.assertEquals(m4,m3); |
| } |
| |
| /** test add */ |
| @Test |
| public void testAdd() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix mInv = new Array2DRowRealMatrix(testDataInv); |
| RealMatrix mPlusMInv = m.add(mInv); |
| double[][] sumEntries = mPlusMInv.getData(); |
| for (int row = 0; row < m.getRowDimension(); row++) { |
| for (int col = 0; col < m.getColumnDimension(); col++) { |
| Assert.assertEquals("sum entry entry", |
| testDataPlusInv[row][col],sumEntries[row][col], |
| entryTolerance); |
| } |
| } |
| } |
| |
| /** test add failure */ |
| @Test |
| public void testAddFail() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(testData2); |
| try { |
| m.add(m2); |
| Assert.fail("MathIllegalArgumentException expected"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| /** test norm */ |
| @Test |
| public void testNorm() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(testData2); |
| Assert.assertEquals("testData norm",14d,m.getNorm(),entryTolerance); |
| Assert.assertEquals("testData2 norm",7d,m2.getNorm(),entryTolerance); |
| } |
| |
| /** test Frobenius norm */ |
| @Test |
| public void testFrobeniusNorm() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(testData2); |
| Assert.assertEquals("testData Frobenius norm", FastMath.sqrt(117.0), m.getFrobeniusNorm(), entryTolerance); |
| Assert.assertEquals("testData2 Frobenius norm", FastMath.sqrt(52.0), m2.getFrobeniusNorm(), entryTolerance); |
| } |
| |
| /** test m-n = m + -n */ |
| @Test |
| public void testPlusMinus() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(testDataInv); |
| TestUtils.assertEquals("m-n = m + -n",m.subtract(m2), |
| m2.scalarMultiply(-1d).add(m),entryTolerance); |
| try { |
| m.subtract(new Array2DRowRealMatrix(testData2)); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| /** test multiply */ |
| @Test |
| public void testMultiply() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix mInv = new Array2DRowRealMatrix(testDataInv); |
| Array2DRowRealMatrix identity = new Array2DRowRealMatrix(id); |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(testData2); |
| TestUtils.assertEquals("inverse multiply",m.multiply(mInv), |
| identity,entryTolerance); |
| TestUtils.assertEquals("inverse multiply",mInv.multiply(m), |
| identity,entryTolerance); |
| TestUtils.assertEquals("identity multiply",m.multiply(identity), |
| m,entryTolerance); |
| TestUtils.assertEquals("identity multiply",identity.multiply(mInv), |
| mInv,entryTolerance); |
| TestUtils.assertEquals("identity multiply",m2.multiply(identity), |
| m2,entryTolerance); |
| try { |
| m.multiply(new Array2DRowRealMatrix(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 = new Array2DRowRealMatrix(d3); |
| RealMatrix m4 = new Array2DRowRealMatrix(d4); |
| RealMatrix m5 = new Array2DRowRealMatrix(d5); |
| TestUtils.assertEquals("m3*m4=m5", m3.multiply(m4), m5, entryTolerance); |
| } |
| |
| @Test |
| public void testPower() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix mInv = new Array2DRowRealMatrix(testDataInv); |
| Array2DRowRealMatrix mPlusInv = new Array2DRowRealMatrix(testDataPlusInv); |
| Array2DRowRealMatrix identity = new Array2DRowRealMatrix(id); |
| |
| TestUtils.assertEquals("m^0", m.power(0), |
| identity, entryTolerance); |
| TestUtils.assertEquals("mInv^0", mInv.power(0), |
| identity, entryTolerance); |
| TestUtils.assertEquals("mPlusInv^0", mPlusInv.power(0), |
| identity, entryTolerance); |
| |
| TestUtils.assertEquals("m^1", m.power(1), |
| m, entryTolerance); |
| TestUtils.assertEquals("mInv^1", mInv.power(1), |
| mInv, entryTolerance); |
| TestUtils.assertEquals("mPlusInv^1", mPlusInv.power(1), |
| mPlusInv, entryTolerance); |
| |
| RealMatrix C1 = m.copy(); |
| RealMatrix C2 = mInv.copy(); |
| RealMatrix C3 = mPlusInv.copy(); |
| |
| for (int i = 2; i <= 10; ++i) { |
| C1 = C1.multiply(m); |
| C2 = C2.multiply(mInv); |
| C3 = C3.multiply(mPlusInv); |
| |
| TestUtils.assertEquals("m^" + i, m.power(i), |
| C1, entryTolerance); |
| TestUtils.assertEquals("mInv^" + i, mInv.power(i), |
| C2, entryTolerance); |
| TestUtils.assertEquals("mPlusInv^" + i, mPlusInv.power(i), |
| C3, entryTolerance); |
| } |
| |
| try { |
| Array2DRowRealMatrix mNotSquare = new Array2DRowRealMatrix(testData2T); |
| mNotSquare.power(2); |
| Assert.fail("Expecting NonSquareMatrixException"); |
| } catch (NonSquareMatrixException ex) { |
| // ignored |
| } |
| |
| try { |
| m.power(-1); |
| Assert.fail("Expecting IllegalArgumentException"); |
| } catch (IllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| /** test trace */ |
| @Test |
| public void testTrace() { |
| RealMatrix m = new Array2DRowRealMatrix(id); |
| Assert.assertEquals("identity trace",3d,m.getTrace(),entryTolerance); |
| m = new Array2DRowRealMatrix(testData2); |
| try { |
| m.getTrace(); |
| Assert.fail("Expecting NonSquareMatrixException"); |
| } catch (NonSquareMatrixException ex) { |
| // ignored |
| } |
| } |
| |
| /** test sclarAdd */ |
| @Test |
| public void testScalarAdd() { |
| RealMatrix m = new Array2DRowRealMatrix(testData); |
| TestUtils.assertEquals("scalar add",new Array2DRowRealMatrix(testDataPlus2), |
| m.scalarAdd(2d),entryTolerance); |
| } |
| |
| /** test operate */ |
| @Test |
| public void testOperate() { |
| RealMatrix m = new Array2DRowRealMatrix(id); |
| TestUtils.assertEquals("identity operate", testVector, |
| m.operate(testVector), entryTolerance); |
| TestUtils.assertEquals("identity operate", testVector, |
| m.operate(new ArrayRealVector(testVector)).toArray(), entryTolerance); |
| m = new Array2DRowRealMatrix(bigSingular); |
| try { |
| m.operate(testVector); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| /** test issue MATH-209 */ |
| @Test |
| public void testMath209() { |
| RealMatrix a = new Array2DRowRealMatrix(new double[][] { |
| { 1, 2 }, { 3, 4 }, { 5, 6 } |
| }, false); |
| 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 = new Array2DRowRealMatrix(testData); |
| RealMatrix mIT = new LUDecomposition(m).getSolver().getInverse().transpose(); |
| RealMatrix mTI = new LUDecomposition(m.transpose()).getSolver().getInverse(); |
| TestUtils.assertEquals("inverse-transpose", mIT, mTI, normTolerance); |
| m = new Array2DRowRealMatrix(testData2); |
| RealMatrix mt = new Array2DRowRealMatrix(testData2T); |
| TestUtils.assertEquals("transpose",mt,m.transpose(),normTolerance); |
| } |
| |
| /** test preMultiply by vector */ |
| @Test |
| public void testPremultiplyVector() { |
| RealMatrix m = new Array2DRowRealMatrix(testData); |
| TestUtils.assertEquals("premultiply", m.preMultiply(testVector), |
| preMultTest, normTolerance); |
| TestUtils.assertEquals("premultiply", m.preMultiply(new ArrayRealVector(testVector).toArray()), |
| preMultTest, normTolerance); |
| m = new Array2DRowRealMatrix(bigSingular); |
| try { |
| m.preMultiply(testVector); |
| Assert.fail("expecting MathIllegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| @Test |
| public void testPremultiply() { |
| RealMatrix m3 = new Array2DRowRealMatrix(d3); |
| RealMatrix m4 = new Array2DRowRealMatrix(d4); |
| RealMatrix m5 = new Array2DRowRealMatrix(d5); |
| TestUtils.assertEquals("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance); |
| |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix mInv = new Array2DRowRealMatrix(testDataInv); |
| Array2DRowRealMatrix identity = new Array2DRowRealMatrix(id); |
| TestUtils.assertEquals("inverse multiply",m.preMultiply(mInv), |
| identity,entryTolerance); |
| TestUtils.assertEquals("inverse multiply",mInv.preMultiply(m), |
| identity,entryTolerance); |
| TestUtils.assertEquals("identity multiply",m.preMultiply(identity), |
| m,entryTolerance); |
| TestUtils.assertEquals("identity multiply",identity.preMultiply(mInv), |
| mInv,entryTolerance); |
| try { |
| m.preMultiply(new Array2DRowRealMatrix(bigSingular)); |
| Assert.fail("Expecting illegalArgumentException"); |
| } catch (MathIllegalArgumentException ex) { |
| // ignored |
| } |
| } |
| |
| @Test |
| public void testGetVectors() { |
| RealMatrix m = new Array2DRowRealMatrix(testData); |
| TestUtils.assertEquals("get row",m.getRow(0),testDataRow1,entryTolerance); |
| TestUtils.assertEquals("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 = new Array2DRowRealMatrix(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 = new Array2DRowRealMatrix(matrixData); |
| // One more with three rows, two columns |
| double[][] matrixData2 = { {1d,2d}, {2d,5d}, {1d, 7d}}; |
| RealMatrix n = new Array2DRowRealMatrix(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 = new Array2DRowRealMatrix(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 testGetSubMatrix() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| checkGetSubMatrix(m, subRows23Cols00, 2 , 3 , 0, 0, false); |
| checkGetSubMatrix(m, subRows00Cols33, 0 , 0 , 3, 3, false); |
| checkGetSubMatrix(m, subRows01Cols23, 0 , 1 , 2, 3, false); |
| checkGetSubMatrix(m, subRows02Cols13, new int[] { 0, 2 }, new int[] { 1, 3 }, false); |
| checkGetSubMatrix(m, subRows03Cols12, new int[] { 0, 3 }, new int[] { 1, 2 }, false); |
| checkGetSubMatrix(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 }, false); |
| checkGetSubMatrix(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 }, false); |
| checkGetSubMatrix(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }, false); |
| checkGetSubMatrix(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }, false); |
| checkGetSubMatrix(m, null, 1, 0, 2, 4, true); |
| checkGetSubMatrix(m, null, -1, 1, 2, 2, true); |
| checkGetSubMatrix(m, null, 1, 0, 2, 2, true); |
| checkGetSubMatrix(m, null, 1, 0, 2, 4, true); |
| checkGetSubMatrix(m, null, new int[] {}, new int[] { 0 }, true); |
| checkGetSubMatrix(m, null, new int[] { 0 }, new int[] { 4 }, true); |
| } |
| |
| private void checkGetSubMatrix(RealMatrix m, double[][] reference, |
| int startRow, int endRow, int startColumn, int endColumn, |
| boolean mustFail) { |
| try { |
| RealMatrix sub = m.getSubMatrix(startRow, endRow, startColumn, endColumn); |
| Assert.assertEquals(new Array2DRowRealMatrix(reference), sub); |
| if (mustFail) { |
| Assert.fail("Expecting OutOfRangeException or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } |
| } |
| |
| private void checkGetSubMatrix(RealMatrix m, double[][] reference, |
| int[] selectedRows, int[] selectedColumns, |
| boolean mustFail) { |
| try { |
| RealMatrix sub = m.getSubMatrix(selectedRows, selectedColumns); |
| Assert.assertEquals(new Array2DRowRealMatrix(reference), sub); |
| if (mustFail) { |
| Assert.fail("Expecting OutOfRangeException or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } |
| } |
| |
| @Test |
| public void testCopySubMatrix() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| checkCopy(m, subRows23Cols00, 2 , 3 , 0, 0, false); |
| checkCopy(m, subRows00Cols33, 0 , 0 , 3, 3, false); |
| checkCopy(m, subRows01Cols23, 0 , 1 , 2, 3, false); |
| checkCopy(m, subRows02Cols13, new int[] { 0, 2 }, new int[] { 1, 3 }, false); |
| checkCopy(m, subRows03Cols12, new int[] { 0, 3 }, new int[] { 1, 2 }, false); |
| checkCopy(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 }, false); |
| checkCopy(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 }, false); |
| checkCopy(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }, false); |
| checkCopy(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 }, false); |
| |
| checkCopy(m, null, 1, 0, 2, 4, true); |
| checkCopy(m, null, -1, 1, 2, 2, true); |
| checkCopy(m, null, 1, 0, 2, 2, true); |
| checkCopy(m, null, 1, 0, 2, 4, true); |
| checkCopy(m, null, new int[] {}, new int[] { 0 }, true); |
| checkCopy(m, null, new int[] { 0 }, new int[] { 4 }, true); |
| |
| // rectangular check |
| double[][] copy = new double[][] { { 0, 0, 0 }, { 0, 0 } }; |
| checkCopy(m, copy, 0, 1, 0, 2, true); |
| checkCopy(m, copy, new int[] { 0, 1 }, new int[] { 0, 1, 2 }, true); |
| } |
| |
| private void checkCopy(RealMatrix m, double[][] reference, |
| int startRow, int endRow, int startColumn, int endColumn, |
| boolean mustFail) { |
| try { |
| double[][] sub = (reference == null) ? |
| new double[1][1] : createIdenticalCopy(reference); |
| m.copySubMatrix(startRow, endRow, startColumn, endColumn, sub); |
| Assert.assertEquals(new Array2DRowRealMatrix(reference), new Array2DRowRealMatrix(sub)); |
| if (mustFail) { |
| Assert.fail("Expecting OutOfRangeException or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (MatrixDimensionMismatchException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } |
| } |
| |
| private void checkCopy(RealMatrix m, double[][] reference, |
| int[] selectedRows, int[] selectedColumns, |
| boolean mustFail) { |
| try { |
| double[][] sub = (reference == null) ? |
| new double[1][1] : createIdenticalCopy(reference); |
| m.copySubMatrix(selectedRows, selectedColumns, sub); |
| Assert.assertEquals(new Array2DRowRealMatrix(reference), new Array2DRowRealMatrix(sub)); |
| if (mustFail) { |
| Assert.fail("Expecting OutOfRangeException or NumberIsTooSmallException or NoDataException"); |
| } |
| } catch (OutOfRangeException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NumberIsTooSmallException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (NoDataException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } catch (MatrixDimensionMismatchException e) { |
| if (!mustFail) { |
| throw e; |
| } |
| } |
| } |
| |
| private double[][] createIdenticalCopy(final double[][] matrix) { |
| final double[][] matrixCopy = new double[matrix.length][]; |
| for (int i = 0; i < matrixCopy.length; i++) { |
| matrixCopy[i] = new double[matrix[i].length]; |
| } |
| return matrixCopy; |
| } |
| |
| @Test |
| public void testGetRowMatrix() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| RealMatrix mRow0 = new Array2DRowRealMatrix(subRow0); |
| RealMatrix mRow3 = new Array2DRowRealMatrix(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 testSetRowMatrix() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| RealMatrix mRow3 = new Array2DRowRealMatrix(subRow3); |
| Assert.assertNotSame(mRow3, m.getRowMatrix(0)); |
| m.setRowMatrix(0, mRow3); |
| Assert.assertEquals(mRow3, m.getRowMatrix(0)); |
| try { |
| m.setRowMatrix(-1, mRow3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setRowMatrix(0, m); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetColumnMatrix() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| RealMatrix mColumn1 = new Array2DRowRealMatrix(subColumn1); |
| RealMatrix mColumn3 = new Array2DRowRealMatrix(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 testSetColumnMatrix() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| RealMatrix mColumn3 = new Array2DRowRealMatrix(subColumn3); |
| Assert.assertNotSame(mColumn3, m.getColumnMatrix(1)); |
| m.setColumnMatrix(1, mColumn3); |
| Assert.assertEquals(mColumn3, m.getColumnMatrix(1)); |
| try { |
| m.setColumnMatrix(-1, mColumn3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setColumnMatrix(0, m); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetRowVector() { |
| RealMatrix m = new Array2DRowRealMatrix(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 testSetRowVector() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| RealVector mRow3 = new ArrayRealVector(subRow3[0]); |
| Assert.assertNotSame(mRow3, m.getRowMatrix(0)); |
| m.setRowVector(0, mRow3); |
| Assert.assertEquals(mRow3, m.getRowVector(0)); |
| try { |
| m.setRowVector(-1, mRow3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setRowVector(0, new ArrayRealVector(5)); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetColumnVector() { |
| RealMatrix m = new Array2DRowRealMatrix(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 |
| } |
| } |
| |
| @Test |
| public void testSetColumnVector() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| RealVector mColumn3 = columnToVector(subColumn3); |
| Assert.assertNotSame(mColumn3, m.getColumnVector(1)); |
| m.setColumnVector(1, mColumn3); |
| Assert.assertEquals(mColumn3, m.getColumnVector(1)); |
| try { |
| m.setColumnVector(-1, mColumn3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setColumnVector(0, new ArrayRealVector(5)); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException 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 testGetRow() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| checkArrays(subRow0[0], m.getRow(0)); |
| checkArrays(subRow3[0], m.getRow(3)); |
| try { |
| m.getRow(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getRow(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetRow() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| Assert.assertTrue(subRow3[0][0] != m.getRow(0)[0]); |
| m.setRow(0, subRow3[0]); |
| checkArrays(subRow3[0], m.getRow(0)); |
| try { |
| m.setRow(-1, subRow3[0]); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setRow(0, new double[5]); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testGetColumn() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| double[] mColumn1 = columnToArray(subColumn1); |
| double[] mColumn3 = columnToArray(subColumn3); |
| checkArrays(mColumn1, m.getColumn(1)); |
| checkArrays(mColumn3, m.getColumn(3)); |
| try { |
| m.getColumn(-1); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.getColumn(4); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| } |
| |
| @Test |
| public void testSetColumn() { |
| RealMatrix m = new Array2DRowRealMatrix(subTestData); |
| double[] mColumn3 = columnToArray(subColumn3); |
| Assert.assertTrue(mColumn3[0] != m.getColumn(1)[0]); |
| m.setColumn(1, mColumn3); |
| checkArrays(mColumn3, m.getColumn(1)); |
| try { |
| m.setColumn(-1, mColumn3); |
| Assert.fail("Expecting OutOfRangeException"); |
| } catch (OutOfRangeException ex) { |
| // expected |
| } |
| try { |
| m.setColumn(0, new double[5]); |
| Assert.fail("Expecting MatrixDimensionMismatchException"); |
| } catch (MatrixDimensionMismatchException ex) { |
| // expected |
| } |
| } |
| |
| private double[] columnToArray(double[][] column) { |
| double[] data = new double[column.length]; |
| for (int i = 0; i < data.length; ++i) { |
| data[i] = column[i][0]; |
| } |
| return data; |
| } |
| |
| private void checkArrays(double[] expected, double[] actual) { |
| Assert.assertEquals(expected.length, actual.length); |
| for (int i = 0; i < expected.length; ++i) { |
| Assert.assertEquals(expected[i], actual[i], 0); |
| } |
| } |
| |
| @Test |
| public void testEqualsAndHashCode() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Array2DRowRealMatrix m1 = (Array2DRowRealMatrix) m.copy(); |
| Array2DRowRealMatrix mt = (Array2DRowRealMatrix) 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(new Array2DRowRealMatrix(bigSingular))); |
| } |
| |
| @Test |
| public void testToString() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Assert.assertEquals("Array2DRowRealMatrix{{1.0,2.0,3.0},{2.0,5.0,3.0},{1.0,0.0,8.0}}", |
| m.toString()); |
| m = new Array2DRowRealMatrix(); |
| Assert.assertEquals("Array2DRowRealMatrix{}", |
| m.toString()); |
| } |
| |
| @Test |
| public void testSetSubMatrix() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| m.setSubMatrix(detData2,1,1); |
| RealMatrix expected = MatrixUtils.createRealMatrix |
| (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 = MatrixUtils.createRealMatrix |
| (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 = MatrixUtils.createRealMatrix |
| (new double[][] {{3.0,4.0,5.0},{4.0,7.0,5.0},{3.0,2.0,10.0}}); |
| Assert.assertEquals(expected, m); |
| |
| // 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 |
| } |
| Array2DRowRealMatrix m2 = new Array2DRowRealMatrix(); |
| try { |
| m2.setSubMatrix(testData,0,1); |
| Assert.fail("expecting MathIllegalStateException"); |
| } catch (MathIllegalStateException e) { |
| // expected |
| } |
| try { |
| m2.setSubMatrix(testData,1,0); |
| Assert.fail("expecting MathIllegalStateException"); |
| } catch (MathIllegalStateException 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 testWalk() { |
| int rows = 150; |
| int columns = 75; |
| |
| RealMatrix m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInRowOrder(new SetVisitor()); |
| GetVisitor getVisitor = new GetVisitor(); |
| m.walkInOptimizedOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInRowOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2); |
| getVisitor = new GetVisitor(); |
| m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(0.0, m.getEntry(i, 0), 0); |
| Assert.assertEquals(0.0, m.getEntry(i, columns - 1), 0); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(0.0, m.getEntry(0, j), 0); |
| Assert.assertEquals(0.0, m.getEntry(rows - 1, j), 0); |
| } |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInColumnOrder(new SetVisitor()); |
| getVisitor = new GetVisitor(); |
| m.walkInOptimizedOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInColumnOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2); |
| getVisitor = new GetVisitor(); |
| m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(0.0, m.getEntry(i, 0), 0); |
| Assert.assertEquals(0.0, m.getEntry(i, columns - 1), 0); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(0.0, m.getEntry(0, j), 0); |
| Assert.assertEquals(0.0, m.getEntry(rows - 1, j), 0); |
| } |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInOptimizedOrder(new SetVisitor()); |
| getVisitor = new GetVisitor(); |
| m.walkInRowOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2); |
| getVisitor = new GetVisitor(); |
| m.walkInRowOrder(getVisitor, 1, rows - 2, 1, columns - 2); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(0.0, m.getEntry(i, 0), 0); |
| Assert.assertEquals(0.0, m.getEntry(i, columns - 1), 0); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(0.0, m.getEntry(0, j), 0); |
| Assert.assertEquals(0.0, m.getEntry(rows - 1, j), 0); |
| } |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInOptimizedOrder(new SetVisitor()); |
| getVisitor = new GetVisitor(); |
| m.walkInColumnOrder(getVisitor); |
| Assert.assertEquals(rows * columns, getVisitor.getCount()); |
| |
| m = new Array2DRowRealMatrix(rows, columns); |
| m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2); |
| getVisitor = new GetVisitor(); |
| m.walkInColumnOrder(getVisitor, 1, rows - 2, 1, columns - 2); |
| Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount()); |
| for (int i = 0; i < rows; ++i) { |
| Assert.assertEquals(0.0, m.getEntry(i, 0), 0); |
| Assert.assertEquals(0.0, m.getEntry(i, columns - 1), 0); |
| } |
| for (int j = 0; j < columns; ++j) { |
| Assert.assertEquals(0.0, m.getEntry(0, j), 0); |
| Assert.assertEquals(0.0, m.getEntry(rows - 1, j), 0); |
| } |
| } |
| |
| @Test |
| public void testSerial() { |
| Array2DRowRealMatrix m = new Array2DRowRealMatrix(testData); |
| Assert.assertEquals(m,TestUtils.serializeAndRecover(m)); |
| } |
| |
| |
| private static class SetVisitor extends DefaultRealMatrixChangingVisitor { |
| @Override |
| public double visit(int i, int j, double value) { |
| return i + j / 1024.0; |
| } |
| } |
| |
| private static class GetVisitor extends DefaultRealMatrixPreservingVisitor { |
| private int count = 0; |
| @Override |
| public void visit(int i, int j, double value) { |
| ++count; |
| Assert.assertEquals(i + j / 1024.0, value, 0.0); |
| } |
| public int getCount() { |
| return count; |
| } |
| } |
| |
| //--------------- -----------------Protected methods |
| |
| /** extracts the l and u matrices from compact lu representation */ |
| protected void splitLU(RealMatrix lu, double[][] lowerData, double[][] upperData) { |
| if (!lu.isSquare()) { |
| throw new NonSquareMatrixException(lu.getRowDimension(), lu.getColumnDimension()); |
| } |
| if (lowerData.length != lowerData[0].length) { |
| throw new DimensionMismatchException(lowerData.length, lowerData[0].length); |
| } |
| if (upperData.length != upperData[0].length) { |
| throw new DimensionMismatchException(upperData.length, upperData[0].length); |
| } |
| if (lowerData.length != upperData.length) { |
| throw new DimensionMismatchException(lowerData.length, upperData.length); |
| } |
| if (lowerData.length != lu.getRowDimension()) { |
| throw new DimensionMismatchException(lowerData.length, lu.getRowDimension()); |
| } |
| |
| 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] = 0d; |
| } else if (i == j) { |
| lowerData[i][j] = 1d; |
| upperData[i][j] = lu.getEntry(i, j); |
| } else { |
| lowerData[i][j] = 0d; |
| upperData[i][j] = lu.getEntry(i, j); |
| } |
| } |
| } |
| } |
| |
| /** Returns the result of applying the given row permutation to the matrix */ |
| protected RealMatrix permuteRows(RealMatrix matrix, int[] permutation) { |
| if (!matrix.isSquare()) { |
| throw new NonSquareMatrixException(matrix.getRowDimension(), |
| matrix.getColumnDimension()); |
| } |
| if (matrix.getRowDimension() != permutation.length) { |
| throw new DimensionMismatchException(matrix.getRowDimension(), permutation.length); |
| } |
| |
| int n = matrix.getRowDimension(); |
| int m = matrix.getColumnDimension(); |
| double out[][] = new double[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 Array2DRowRealMatrix(out); |
| } |
| |
| // /** Useful for debugging */ |
| // private void dumpMatrix(RealMatrix 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); |
| // } |
| // } |
| } |
| |
