001 /* 002 * Licensed to the Apache Software Foundation (ASF) under one or more 003 * contributor license agreements. See the NOTICE file distributed with 004 * this work for additional information regarding copyright ownership. 005 * The ASF licenses this file to You under the Apache License, Version 2.0 006 * (the "License"); you may not use this file except in compliance with 007 * the License. You may obtain a copy of the License at 008 * 009 * http://www.apache.org/licenses/LICENSE-2.0 010 * 011 * Unless required by applicable law or agreed to in writing, software 012 * distributed under the License is distributed on an "AS IS" BASIS, 013 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 014 * See the License for the specific language governing permissions and 015 * limitations under the License. 016 */ 017 package org.apache.commons.math.linear; 018 019 import junit.framework.Test; 020 import junit.framework.TestCase; 021 import junit.framework.TestSuite; 022 023 import org.apache.commons.math.TestUtils; 024 025 /** 026 * Test cases for the {@link OpenMapRealMatrix} class. 027 * 028 * @version $Revision: 790243 $ $Date: 2008-11-07 06:48:13 -0800 (Fri, 07 Nov 029 * 2008) $ 030 */ 031 public final class SparseRealMatrixTest extends TestCase { 032 033 // 3 x 3 identity matrix 034 protected double[][] id = { { 1d, 0d, 0d }, { 0d, 1d, 0d }, { 0d, 0d, 1d } }; 035 // Test data for group operations 036 protected double[][] testData = { { 1d, 2d, 3d }, { 2d, 5d, 3d }, 037 { 1d, 0d, 8d } }; 038 protected double[][] testDataLU = { { 2d, 5d, 3d }, { .5d, -2.5d, 6.5d }, 039 { 0.5d, 0.2d, .2d } }; 040 protected double[][] testDataPlus2 = { { 3d, 4d, 5d }, { 4d, 7d, 5d }, 041 { 3d, 2d, 10d } }; 042 protected double[][] testDataMinus = { { -1d, -2d, -3d }, 043 { -2d, -5d, -3d }, { -1d, 0d, -8d } }; 044 protected double[] testDataRow1 = { 1d, 2d, 3d }; 045 protected double[] testDataCol3 = { 3d, 3d, 8d }; 046 protected double[][] testDataInv = { { -40d, 16d, 9d }, { 13d, -5d, -3d }, 047 { 5d, -2d, -1d } }; 048 protected double[] preMultTest = { 8, 12, 33 }; 049 protected double[][] testData2 = { { 1d, 2d, 3d }, { 2d, 5d, 3d } }; 050 protected double[][] testData2T = { { 1d, 2d }, { 2d, 5d }, { 3d, 3d } }; 051 protected double[][] testDataPlusInv = { { -39d, 18d, 12d }, 052 { 15d, 0d, 0d }, { 6d, -2d, 7d } }; 053 054 // lu decomposition tests 055 protected double[][] luData = { { 2d, 3d, 3d }, { 0d, 5d, 7d }, { 6d, 9d, 8d } }; 056 protected double[][] luDataLUDecomposition = { { 6d, 9d, 8d }, 057 { 0d, 5d, 7d }, { 0.33333333333333, 0d, 0.33333333333333 } }; 058 059 // singular matrices 060 protected double[][] singular = { { 2d, 3d }, { 2d, 3d } }; 061 protected double[][] bigSingular = { { 1d, 2d, 3d, 4d }, 062 { 2d, 5d, 3d, 4d }, { 7d, 3d, 256d, 1930d }, { 3d, 7d, 6d, 8d } }; // 4th 063 064 // row 065 // = 066 // 1st 067 // + 068 // 2nd 069 protected double[][] detData = { { 1d, 2d, 3d }, { 4d, 5d, 6d }, 070 { 7d, 8d, 10d } }; 071 protected double[][] detData2 = { { 1d, 3d }, { 2d, 4d } }; 072 073 // vectors 074 protected double[] testVector = { 1, 2, 3 }; 075 protected double[] testVector2 = { 1, 2, 3, 4 }; 076 077 // submatrix accessor tests 078 protected double[][] subTestData = { { 1, 2, 3, 4 }, 079 { 1.5, 2.5, 3.5, 4.5 }, { 2, 4, 6, 8 }, { 4, 5, 6, 7 } }; 080 081 // array selections 082 protected double[][] subRows02Cols13 = { { 2, 4 }, { 4, 8 } }; 083 protected double[][] subRows03Cols12 = { { 2, 3 }, { 5, 6 } }; 084 protected double[][] subRows03Cols123 = { { 2, 3, 4 }, { 5, 6, 7 } }; 085 086 // effective permutations 087 protected double[][] subRows20Cols123 = { { 4, 6, 8 }, { 2, 3, 4 } }; 088 protected double[][] subRows31Cols31 = { { 7, 5 }, { 4.5, 2.5 } }; 089 090 // contiguous ranges 091 protected double[][] subRows01Cols23 = { { 3, 4 }, { 3.5, 4.5 } }; 092 protected double[][] subRows23Cols00 = { { 2 }, { 4 } }; 093 protected double[][] subRows00Cols33 = { { 4 } }; 094 095 // row matrices 096 protected double[][] subRow0 = { { 1, 2, 3, 4 } }; 097 protected double[][] subRow3 = { { 4, 5, 6, 7 } }; 098 099 // column matrices 100 protected double[][] subColumn1 = { { 2 }, { 2.5 }, { 4 }, { 5 } }; 101 protected double[][] subColumn3 = { { 4 }, { 4.5 }, { 8 }, { 7 } }; 102 103 // tolerances 104 protected double entryTolerance = 10E-16; 105 protected double normTolerance = 10E-14; 106 107 public SparseRealMatrixTest(String name) { 108 super(name); 109 } 110 111 public static Test suite() { 112 TestSuite suite = new TestSuite(SparseRealMatrixTest.class); 113 suite.setName("SparseRealMatrix Tests"); 114 return suite; 115 } 116 117 /** test dimensions */ 118 public void testDimensions() { 119 OpenMapRealMatrix m = createSparseMatrix(testData); 120 OpenMapRealMatrix m2 = createSparseMatrix(testData2); 121 assertEquals("testData row dimension", 3, m.getRowDimension()); 122 assertEquals("testData column dimension", 3, m.getColumnDimension()); 123 assertTrue("testData is square", m.isSquare()); 124 assertEquals("testData2 row dimension", m2.getRowDimension(), 2); 125 assertEquals("testData2 column dimension", m2.getColumnDimension(), 3); 126 assertTrue("testData2 is not square", !m2.isSquare()); 127 } 128 129 /** test copy functions */ 130 public void testCopyFunctions() { 131 OpenMapRealMatrix m1 = createSparseMatrix(testData); 132 RealMatrix m2 = m1.copy(); 133 assertEquals(m1.getClass(), m2.getClass()); 134 assertEquals((m2), m1); 135 OpenMapRealMatrix m3 = createSparseMatrix(testData); 136 RealMatrix m4 = m3.copy(); 137 assertEquals(m3.getClass(), m4.getClass()); 138 assertEquals((m4), m3); 139 } 140 141 /** test add */ 142 public void testAdd() { 143 OpenMapRealMatrix m = createSparseMatrix(testData); 144 OpenMapRealMatrix mInv = createSparseMatrix(testDataInv); 145 OpenMapRealMatrix mDataPlusInv = createSparseMatrix(testDataPlusInv); 146 RealMatrix mPlusMInv = m.add(mInv); 147 for (int row = 0; row < m.getRowDimension(); row++) { 148 for (int col = 0; col < m.getColumnDimension(); col++) { 149 assertEquals("sum entry entry", 150 mDataPlusInv.getEntry(row, col), mPlusMInv.getEntry(row, col), 151 entryTolerance); 152 } 153 } 154 } 155 156 /** test add failure */ 157 public void testAddFail() { 158 OpenMapRealMatrix m = createSparseMatrix(testData); 159 OpenMapRealMatrix m2 = createSparseMatrix(testData2); 160 try { 161 m.add(m2); 162 fail("IllegalArgumentException expected"); 163 } catch (IllegalArgumentException ex) { 164 // ignored 165 } 166 } 167 168 /** test norm */ 169 public void testNorm() { 170 OpenMapRealMatrix m = createSparseMatrix(testData); 171 OpenMapRealMatrix m2 = createSparseMatrix(testData2); 172 assertEquals("testData norm", 14d, m.getNorm(), entryTolerance); 173 assertEquals("testData2 norm", 7d, m2.getNorm(), entryTolerance); 174 } 175 176 /** test m-n = m + -n */ 177 public void testPlusMinus() { 178 OpenMapRealMatrix m = createSparseMatrix(testData); 179 OpenMapRealMatrix n = createSparseMatrix(testDataInv); 180 assertClose("m-n = m + -n", m.subtract(n), 181 n.scalarMultiply(-1d).add(m), entryTolerance); 182 try { 183 m.subtract(createSparseMatrix(testData2)); 184 fail("Expecting illegalArgumentException"); 185 } catch (IllegalArgumentException ex) { 186 // ignored 187 } 188 } 189 190 /** test multiply */ 191 public void testMultiply() { 192 OpenMapRealMatrix m = createSparseMatrix(testData); 193 OpenMapRealMatrix mInv = createSparseMatrix(testDataInv); 194 OpenMapRealMatrix identity = createSparseMatrix(id); 195 OpenMapRealMatrix m2 = createSparseMatrix(testData2); 196 assertClose("inverse multiply", m.multiply(mInv), identity, 197 entryTolerance); 198 assertClose("inverse multiply", m.multiply(new BlockRealMatrix(testDataInv)), identity, 199 entryTolerance); 200 assertClose("inverse multiply", mInv.multiply(m), identity, 201 entryTolerance); 202 assertClose("identity multiply", m.multiply(identity), m, 203 entryTolerance); 204 assertClose("identity multiply", identity.multiply(mInv), mInv, 205 entryTolerance); 206 assertClose("identity multiply", m2.multiply(identity), m2, 207 entryTolerance); 208 try { 209 m.multiply(createSparseMatrix(bigSingular)); 210 fail("Expecting illegalArgumentException"); 211 } catch (IllegalArgumentException ex) { 212 // ignored 213 } 214 } 215 216 // Additional Test for Array2DRowRealMatrixTest.testMultiply 217 218 private double[][] d3 = new double[][] { { 1, 2, 3, 4 }, { 5, 6, 7, 8 } }; 219 private double[][] d4 = new double[][] { { 1 }, { 2 }, { 3 }, { 4 } }; 220 private double[][] d5 = new double[][] { { 30 }, { 70 } }; 221 222 public void testMultiply2() { 223 RealMatrix m3 = createSparseMatrix(d3); 224 RealMatrix m4 = createSparseMatrix(d4); 225 RealMatrix m5 = createSparseMatrix(d5); 226 assertClose("m3*m4=m5", m3.multiply(m4), m5, entryTolerance); 227 } 228 229 /** test trace */ 230 public void testTrace() { 231 RealMatrix m = createSparseMatrix(id); 232 assertEquals("identity trace", 3d, m.getTrace(), entryTolerance); 233 m = createSparseMatrix(testData2); 234 try { 235 m.getTrace(); 236 fail("Expecting NonSquareMatrixException"); 237 } catch (NonSquareMatrixException ex) { 238 // ignored 239 } 240 } 241 242 /** test sclarAdd */ 243 public void testScalarAdd() { 244 RealMatrix m = createSparseMatrix(testData); 245 assertClose("scalar add", createSparseMatrix(testDataPlus2), 246 m.scalarAdd(2d), entryTolerance); 247 } 248 249 /** test operate */ 250 public void testOperate() { 251 RealMatrix m = createSparseMatrix(id); 252 assertClose("identity operate", testVector, m.operate(testVector), 253 entryTolerance); 254 assertClose("identity operate", testVector, m.operate( 255 new ArrayRealVector(testVector)).getData(), entryTolerance); 256 m = createSparseMatrix(bigSingular); 257 try { 258 m.operate(testVector); 259 fail("Expecting illegalArgumentException"); 260 } catch (IllegalArgumentException ex) { 261 // ignored 262 } 263 } 264 265 /** test issue MATH-209 */ 266 public void testMath209() { 267 RealMatrix a = createSparseMatrix(new double[][] { 268 { 1, 2 }, { 3, 4 }, { 5, 6 } }); 269 double[] b = a.operate(new double[] { 1, 1 }); 270 assertEquals(a.getRowDimension(), b.length); 271 assertEquals(3.0, b[0], 1.0e-12); 272 assertEquals(7.0, b[1], 1.0e-12); 273 assertEquals(11.0, b[2], 1.0e-12); 274 } 275 276 /** test transpose */ 277 public void testTranspose() { 278 279 RealMatrix m = createSparseMatrix(testData); 280 RealMatrix mIT = new LUDecompositionImpl(m).getSolver().getInverse().transpose(); 281 RealMatrix mTI = new LUDecompositionImpl(m.transpose()).getSolver().getInverse(); 282 assertClose("inverse-transpose", mIT, mTI, normTolerance); 283 m = createSparseMatrix(testData2); 284 RealMatrix mt = createSparseMatrix(testData2T); 285 assertClose("transpose",mt,m.transpose(),normTolerance); 286 } 287 288 /** test preMultiply by vector */ 289 public void testPremultiplyVector() { 290 RealMatrix m = createSparseMatrix(testData); 291 assertClose("premultiply", m.preMultiply(testVector), preMultTest, 292 normTolerance); 293 assertClose("premultiply", m.preMultiply( 294 new ArrayRealVector(testVector).getData()), preMultTest, normTolerance); 295 m = createSparseMatrix(bigSingular); 296 try { 297 m.preMultiply(testVector); 298 fail("expecting IllegalArgumentException"); 299 } catch (IllegalArgumentException ex) { 300 // ignored 301 } 302 } 303 304 public void testPremultiply() { 305 RealMatrix m3 = createSparseMatrix(d3); 306 RealMatrix m4 = createSparseMatrix(d4); 307 RealMatrix m5 = createSparseMatrix(d5); 308 assertClose("m3*m4=m5", m4.preMultiply(m3), m5, entryTolerance); 309 310 OpenMapRealMatrix m = createSparseMatrix(testData); 311 OpenMapRealMatrix mInv = createSparseMatrix(testDataInv); 312 OpenMapRealMatrix identity = createSparseMatrix(id); 313 assertClose("inverse multiply", m.preMultiply(mInv), identity, 314 entryTolerance); 315 assertClose("inverse multiply", mInv.preMultiply(m), identity, 316 entryTolerance); 317 assertClose("identity multiply", m.preMultiply(identity), m, 318 entryTolerance); 319 assertClose("identity multiply", identity.preMultiply(mInv), mInv, 320 entryTolerance); 321 try { 322 m.preMultiply(createSparseMatrix(bigSingular)); 323 fail("Expecting illegalArgumentException"); 324 } catch (IllegalArgumentException ex) { 325 // ignored 326 } 327 } 328 329 public void testGetVectors() { 330 RealMatrix m = createSparseMatrix(testData); 331 assertClose("get row", m.getRow(0), testDataRow1, entryTolerance); 332 assertClose("get col", m.getColumn(2), testDataCol3, entryTolerance); 333 try { 334 m.getRow(10); 335 fail("expecting MatrixIndexException"); 336 } catch (MatrixIndexException ex) { 337 // ignored 338 } 339 try { 340 m.getColumn(-1); 341 fail("expecting MatrixIndexException"); 342 } catch (MatrixIndexException ex) { 343 // ignored 344 } 345 } 346 347 public void testGetEntry() { 348 RealMatrix m = createSparseMatrix(testData); 349 assertEquals("get entry", m.getEntry(0, 1), 2d, entryTolerance); 350 try { 351 m.getEntry(10, 4); 352 fail("Expecting MatrixIndexException"); 353 } catch (MatrixIndexException ex) { 354 // expected 355 } 356 } 357 358 /** test examples in user guide */ 359 public void testExamples() { 360 // Create a real matrix with two rows and three columns 361 double[][] matrixData = { { 1d, 2d, 3d }, { 2d, 5d, 3d } }; 362 RealMatrix m = createSparseMatrix(matrixData); 363 // One more with three rows, two columns 364 double[][] matrixData2 = { { 1d, 2d }, { 2d, 5d }, { 1d, 7d } }; 365 RealMatrix n = createSparseMatrix(matrixData2); 366 // Now multiply m by n 367 RealMatrix p = m.multiply(n); 368 assertEquals(2, p.getRowDimension()); 369 assertEquals(2, p.getColumnDimension()); 370 // Invert p 371 RealMatrix pInverse = new LUDecompositionImpl(p).getSolver().getInverse(); 372 assertEquals(2, pInverse.getRowDimension()); 373 assertEquals(2, pInverse.getColumnDimension()); 374 375 // Solve example 376 double[][] coefficientsData = { { 2, 3, -2 }, { -1, 7, 6 }, 377 { 4, -3, -5 } }; 378 RealMatrix coefficients = createSparseMatrix(coefficientsData); 379 double[] constants = { 1, -2, 1 }; 380 double[] solution = new LUDecompositionImpl(coefficients).getSolver().solve(constants); 381 assertEquals(2 * solution[0] + 3 * solution[1] - 2 * solution[2], 382 constants[0], 1E-12); 383 assertEquals(-1 * solution[0] + 7 * solution[1] + 6 * solution[2], 384 constants[1], 1E-12); 385 assertEquals(4 * solution[0] - 3 * solution[1] - 5 * solution[2], 386 constants[2], 1E-12); 387 388 } 389 390 // test submatrix accessors 391 public void testSubMatrix() { 392 RealMatrix m = createSparseMatrix(subTestData); 393 RealMatrix mRows23Cols00 = createSparseMatrix(subRows23Cols00); 394 RealMatrix mRows00Cols33 = createSparseMatrix(subRows00Cols33); 395 RealMatrix mRows01Cols23 = createSparseMatrix(subRows01Cols23); 396 RealMatrix mRows02Cols13 = createSparseMatrix(subRows02Cols13); 397 RealMatrix mRows03Cols12 = createSparseMatrix(subRows03Cols12); 398 RealMatrix mRows03Cols123 = createSparseMatrix(subRows03Cols123); 399 RealMatrix mRows20Cols123 = createSparseMatrix(subRows20Cols123); 400 RealMatrix mRows31Cols31 = createSparseMatrix(subRows31Cols31); 401 assertEquals("Rows23Cols00", mRows23Cols00, m.getSubMatrix(2, 3, 0, 0)); 402 assertEquals("Rows00Cols33", mRows00Cols33, m.getSubMatrix(0, 0, 3, 3)); 403 assertEquals("Rows01Cols23", mRows01Cols23, m.getSubMatrix(0, 1, 2, 3)); 404 assertEquals("Rows02Cols13", mRows02Cols13, 405 m.getSubMatrix(new int[] { 0, 2 }, new int[] { 1, 3 })); 406 assertEquals("Rows03Cols12", mRows03Cols12, 407 m.getSubMatrix(new int[] { 0, 3 }, new int[] { 1, 2 })); 408 assertEquals("Rows03Cols123", mRows03Cols123, 409 m.getSubMatrix(new int[] { 0, 3 }, new int[] { 1, 2, 3 })); 410 assertEquals("Rows20Cols123", mRows20Cols123, 411 m.getSubMatrix(new int[] { 2, 0 }, new int[] { 1, 2, 3 })); 412 assertEquals("Rows31Cols31", mRows31Cols31, 413 m.getSubMatrix(new int[] { 3, 1 }, new int[] { 3, 1 })); 414 assertEquals("Rows31Cols31", mRows31Cols31, 415 m.getSubMatrix(new int[] { 3, 1 }, new int[] { 3, 1 })); 416 417 try { 418 m.getSubMatrix(1, 0, 2, 4); 419 fail("Expecting MatrixIndexException"); 420 } catch (MatrixIndexException ex) { 421 // expected 422 } 423 try { 424 m.getSubMatrix(-1, 1, 2, 2); 425 fail("Expecting MatrixIndexException"); 426 } catch (MatrixIndexException ex) { 427 // expected 428 } 429 try { 430 m.getSubMatrix(1, 0, 2, 2); 431 fail("Expecting MatrixIndexException"); 432 } catch (MatrixIndexException ex) { 433 // expected 434 } 435 try { 436 m.getSubMatrix(1, 0, 2, 4); 437 fail("Expecting MatrixIndexException"); 438 } catch (MatrixIndexException ex) { 439 // expected 440 } 441 try { 442 m.getSubMatrix(new int[] {}, new int[] { 0 }); 443 fail("Expecting MatrixIndexException"); 444 } catch (MatrixIndexException ex) { 445 // expected 446 } 447 try { 448 m.getSubMatrix(new int[] { 0 }, new int[] { 4 }); 449 fail("Expecting MatrixIndexException"); 450 } catch (MatrixIndexException ex) { 451 // expected 452 } 453 } 454 455 public void testGetRowMatrix() { 456 RealMatrix m = createSparseMatrix(subTestData); 457 RealMatrix mRow0 = createSparseMatrix(subRow0); 458 RealMatrix mRow3 = createSparseMatrix(subRow3); 459 assertEquals("Row0", mRow0, m.getRowMatrix(0)); 460 assertEquals("Row3", mRow3, m.getRowMatrix(3)); 461 try { 462 m.getRowMatrix(-1); 463 fail("Expecting MatrixIndexException"); 464 } catch (MatrixIndexException ex) { 465 // expected 466 } 467 try { 468 m.getRowMatrix(4); 469 fail("Expecting MatrixIndexException"); 470 } catch (MatrixIndexException ex) { 471 // expected 472 } 473 } 474 475 public void testGetColumnMatrix() { 476 RealMatrix m = createSparseMatrix(subTestData); 477 RealMatrix mColumn1 = createSparseMatrix(subColumn1); 478 RealMatrix mColumn3 = createSparseMatrix(subColumn3); 479 assertEquals("Column1", mColumn1, m.getColumnMatrix(1)); 480 assertEquals("Column3", mColumn3, m.getColumnMatrix(3)); 481 try { 482 m.getColumnMatrix(-1); 483 fail("Expecting MatrixIndexException"); 484 } catch (MatrixIndexException ex) { 485 // expected 486 } 487 try { 488 m.getColumnMatrix(4); 489 fail("Expecting MatrixIndexException"); 490 } catch (MatrixIndexException ex) { 491 // expected 492 } 493 } 494 495 public void testGetRowVector() { 496 RealMatrix m = createSparseMatrix(subTestData); 497 RealVector mRow0 = new ArrayRealVector(subRow0[0]); 498 RealVector mRow3 = new ArrayRealVector(subRow3[0]); 499 assertEquals("Row0", mRow0, m.getRowVector(0)); 500 assertEquals("Row3", mRow3, m.getRowVector(3)); 501 try { 502 m.getRowVector(-1); 503 fail("Expecting MatrixIndexException"); 504 } catch (MatrixIndexException ex) { 505 // expected 506 } 507 try { 508 m.getRowVector(4); 509 fail("Expecting MatrixIndexException"); 510 } catch (MatrixIndexException ex) { 511 // expected 512 } 513 } 514 515 public void testGetColumnVector() { 516 RealMatrix m = createSparseMatrix(subTestData); 517 RealVector mColumn1 = columnToVector(subColumn1); 518 RealVector mColumn3 = columnToVector(subColumn3); 519 assertEquals("Column1", mColumn1, m.getColumnVector(1)); 520 assertEquals("Column3", mColumn3, m.getColumnVector(3)); 521 try { 522 m.getColumnVector(-1); 523 fail("Expecting MatrixIndexException"); 524 } catch (MatrixIndexException ex) { 525 // expected 526 } 527 try { 528 m.getColumnVector(4); 529 fail("Expecting MatrixIndexException"); 530 } catch (MatrixIndexException ex) { 531 // expected 532 } 533 } 534 535 private RealVector columnToVector(double[][] column) { 536 double[] data = new double[column.length]; 537 for (int i = 0; i < data.length; ++i) { 538 data[i] = column[i][0]; 539 } 540 return new ArrayRealVector(data, false); 541 } 542 543 public void testEqualsAndHashCode() { 544 OpenMapRealMatrix m = createSparseMatrix(testData); 545 OpenMapRealMatrix m1 = (OpenMapRealMatrix) m.copy(); 546 OpenMapRealMatrix mt = (OpenMapRealMatrix) m.transpose(); 547 assertTrue(m.hashCode() != mt.hashCode()); 548 assertEquals(m.hashCode(), m1.hashCode()); 549 assertEquals(m, m); 550 assertEquals(m, m1); 551 assertFalse(m.equals(null)); 552 assertFalse(m.equals(mt)); 553 assertFalse(m.equals(createSparseMatrix(bigSingular))); 554 } 555 556 public void testToString() { 557 OpenMapRealMatrix m = createSparseMatrix(testData); 558 assertEquals("OpenMapRealMatrix{{1.0,2.0,3.0},{2.0,5.0,3.0},{1.0,0.0,8.0}}", 559 m.toString()); 560 m = new OpenMapRealMatrix(1, 1); 561 assertEquals("OpenMapRealMatrix{{0.0}}", m.toString()); 562 } 563 564 public void testSetSubMatrix() throws Exception { 565 OpenMapRealMatrix m = createSparseMatrix(testData); 566 m.setSubMatrix(detData2, 1, 1); 567 RealMatrix expected = createSparseMatrix(new double[][] { 568 { 1.0, 2.0, 3.0 }, { 2.0, 1.0, 3.0 }, { 1.0, 2.0, 4.0 } }); 569 assertEquals(expected, m); 570 571 m.setSubMatrix(detData2, 0, 0); 572 expected = createSparseMatrix(new double[][] { 573 { 1.0, 3.0, 3.0 }, { 2.0, 4.0, 3.0 }, { 1.0, 2.0, 4.0 } }); 574 assertEquals(expected, m); 575 576 m.setSubMatrix(testDataPlus2, 0, 0); 577 expected = createSparseMatrix(new double[][] { 578 { 3.0, 4.0, 5.0 }, { 4.0, 7.0, 5.0 }, { 3.0, 2.0, 10.0 } }); 579 assertEquals(expected, m); 580 581 // javadoc example 582 OpenMapRealMatrix matrix = 583 createSparseMatrix(new double[][] { 584 { 1, 2, 3, 4 }, { 5, 6, 7, 8 }, { 9, 0, 1, 2 } }); 585 matrix.setSubMatrix(new double[][] { { 3, 4 }, { 5, 6 } }, 1, 1); 586 expected = createSparseMatrix(new double[][] { 587 { 1, 2, 3, 4 }, { 5, 3, 4, 8 }, { 9, 5, 6, 2 } }); 588 assertEquals(expected, matrix); 589 590 // dimension overflow 591 try { 592 m.setSubMatrix(testData, 1, 1); 593 fail("expecting MatrixIndexException"); 594 } catch (MatrixIndexException e) { 595 // expected 596 } 597 // dimension underflow 598 try { 599 m.setSubMatrix(testData, -1, 1); 600 fail("expecting MatrixIndexException"); 601 } catch (MatrixIndexException e) { 602 // expected 603 } 604 try { 605 m.setSubMatrix(testData, 1, -1); 606 fail("expecting MatrixIndexException"); 607 } catch (MatrixIndexException e) { 608 // expected 609 } 610 611 // null 612 try { 613 m.setSubMatrix(null, 1, 1); 614 fail("expecting NullPointerException"); 615 } catch (NullPointerException e) { 616 // expected 617 } 618 try { 619 new OpenMapRealMatrix(0, 0); 620 fail("expecting IllegalArgumentException"); 621 } catch (IllegalArgumentException e) { 622 // expected 623 } 624 625 // ragged 626 try { 627 m.setSubMatrix(new double[][] { { 1 }, { 2, 3 } }, 0, 0); 628 fail("expecting IllegalArgumentException"); 629 } catch (IllegalArgumentException e) { 630 // expected 631 } 632 633 // empty 634 try { 635 m.setSubMatrix(new double[][] { {} }, 0, 0); 636 fail("expecting IllegalArgumentException"); 637 } catch (IllegalArgumentException e) { 638 // expected 639 } 640 641 } 642 643 public void testSerial() { 644 OpenMapRealMatrix m = createSparseMatrix(testData); 645 assertEquals(m,TestUtils.serializeAndRecover(m)); 646 } 647 648 // --------------- -----------------Protected methods 649 650 /** verifies that two matrices are close (1-norm) */ 651 protected void assertClose(String msg, RealMatrix m, RealMatrix n, 652 double tolerance) { 653 assertTrue(msg, m.subtract(n).getNorm() < tolerance); 654 } 655 656 /** verifies that two vectors are close (sup norm) */ 657 protected void assertClose(String msg, double[] m, double[] n, 658 double tolerance) { 659 if (m.length != n.length) { 660 fail("vectors not same length"); 661 } 662 for (int i = 0; i < m.length; i++) { 663 assertEquals(msg + " " + i + " elements differ", m[i], n[i], 664 tolerance); 665 } 666 } 667 668 private OpenMapRealMatrix createSparseMatrix(double[][] data) { 669 OpenMapRealMatrix matrix = new OpenMapRealMatrix(data.length, data[0].length); 670 for (int row = 0; row < data.length; row++) { 671 for (int col = 0; col < data[row].length; col++) { 672 matrix.setEntry(row, col, data[row][col]); 673 } 674 } 675 return matrix; 676 } 677 678 679 }