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22 package org.hipparchus.linear;
23
24 import org.hipparchus.UnitTestUtils;
25 import org.hipparchus.exception.LocalizedCoreFormats;
26 import org.hipparchus.exception.MathIllegalArgumentException;
27 import org.hipparchus.exception.MathIllegalStateException;
28 import org.hipparchus.exception.NullArgumentException;
29 import org.hipparchus.fraction.Fraction;
30 import org.hipparchus.fraction.FractionField;
31 import org.hipparchus.random.RandomGenerator;
32 import org.hipparchus.random.Well1024a;
33 import org.hipparchus.util.Binary64;
34 import org.hipparchus.util.Binary64Field;
35 import org.junit.jupiter.api.Test;
36
37 import static org.junit.jupiter.api.Assertions.assertEquals;
38 import static org.junit.jupiter.api.Assertions.assertFalse;
39 import static org.junit.jupiter.api.Assertions.assertNotEquals;
40 import static org.junit.jupiter.api.Assertions.assertNotSame;
41 import static org.junit.jupiter.api.Assertions.assertTrue;
42 import static org.junit.jupiter.api.Assertions.fail;
43
44
45
46
47
48
49 final class Array2DRowFieldMatrixTest {
50
51
52 protected Fraction[][] id = { {new Fraction(1),new Fraction(0),new Fraction(0)}, {new Fraction(0),new Fraction(1),new Fraction(0)}, {new Fraction(0),new Fraction(0),new Fraction(1)} };
53
54
55 protected Fraction[][] testData = { {new Fraction(1),new Fraction(2),new Fraction(3)}, {new Fraction(2),new Fraction(5),new Fraction(3)}, {new Fraction(1),new Fraction(0),new Fraction(8)} };
56 protected Fraction[][] testDataLU = {{new Fraction(2), new Fraction(5), new Fraction(3)}, {new Fraction(1, 2), new Fraction(-5, 2), new Fraction(13, 2)}, {new Fraction(1, 2), new Fraction(1, 5), new Fraction(1, 5)}};
57 protected Fraction[][] testDataPlus2 = { {new Fraction(3),new Fraction(4),new Fraction(5)}, {new Fraction(4),new Fraction(7),new Fraction(5)}, {new Fraction(3),new Fraction(2),new Fraction(10)} };
58 protected Fraction[][] testDataMinus = { {new Fraction(-1),new Fraction(-2),new Fraction(-3)}, {new Fraction(-2),new Fraction(-5),new Fraction(-3)},
59 {new Fraction(-1),new Fraction(0),new Fraction(-8)} };
60 protected Fraction[] testDataRow1 = {new Fraction(1),new Fraction(2),new Fraction(3)};
61 protected Fraction[] testDataCol3 = {new Fraction(3),new Fraction(3),new Fraction(8)};
62 protected Fraction[][] testDataInv =
63 { {new Fraction(-40),new Fraction(16),new Fraction(9)}, {new Fraction(13),new Fraction(-5),new Fraction(-3)}, {new Fraction(5),new Fraction(-2),new Fraction(-1)} };
64 protected Fraction[] preMultTest = {new Fraction(8),new Fraction(12),new Fraction(33)};
65 protected Fraction[][] testData2 ={ {new Fraction(1),new Fraction(2),new Fraction(3)}, {new Fraction(2),new Fraction(5),new Fraction(3)}};
66 protected Fraction[][] testData2T = { {new Fraction(1),new Fraction(2)}, {new Fraction(2),new Fraction(5)}, {new Fraction(3),new Fraction(3)}};
67 protected Fraction[][] testDataPlusInv =
68 { {new Fraction(-39),new Fraction(18),new Fraction(12)}, {new Fraction(15),new Fraction(0),new Fraction(0)}, {new Fraction(6),new Fraction(-2),new Fraction(7)} };
69
70
71 protected Fraction[][] luData = { {new Fraction(2),new Fraction(3),new Fraction(3)}, {new Fraction(0),new Fraction(5),new Fraction(7)}, {new Fraction(6),new Fraction(9),new Fraction(8)} };
72 protected Fraction[][] luDataLUDecomposition = { {new Fraction(6),new Fraction(9),new Fraction(8)}, {new Fraction(0),new Fraction(5),new Fraction(7)},
73 {new Fraction(1, 3),new Fraction(0),new Fraction(1, 3)} };
74
75
76 protected Fraction[][] singular = { {new Fraction(2),new Fraction(3)}, {new Fraction(2),new Fraction(3)} };
77 protected Fraction[][] bigSingular = {{new Fraction(1),new Fraction(2),new Fraction(3),new Fraction(4)}, {new Fraction(2),new Fraction(5),new Fraction(3),new Fraction(4)},
78 {new Fraction(7),new Fraction(3),new Fraction(256),new Fraction(1930)}, {new Fraction(3),new Fraction(7),new Fraction(6),new Fraction(8)}};
79 protected Fraction[][] detData = { {new Fraction(1),new Fraction(2),new Fraction(3)}, {new Fraction(4),new Fraction(5),new Fraction(6)}, {new Fraction(7),new Fraction(8),new Fraction(10)} };
80 protected Fraction[][] detData2 = { {new Fraction(1), new Fraction(3)}, {new Fraction(2), new Fraction(4)}};
81
82
83 protected Fraction[] testVector = {new Fraction(1),new Fraction(2),new Fraction(3)};
84 protected Fraction[] testVector2 = {new Fraction(1),new Fraction(2),new Fraction(3),new Fraction(4)};
85
86
87 protected Fraction[][] subTestData = {{new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4)}, {new Fraction(3, 2), new Fraction(5, 2), new Fraction(7, 2), new Fraction(9, 2)},
88 {new Fraction(2), new Fraction(4), new Fraction(6), new Fraction(8)}, {new Fraction(4), new Fraction(5), new Fraction(6), new Fraction(7)}};
89
90 protected Fraction[][] subRows02Cols13 = { {new Fraction(2), new Fraction(4)}, {new Fraction(4), new Fraction(8)}};
91 protected Fraction[][] subRows03Cols12 = { {new Fraction(2), new Fraction(3)}, {new Fraction(5), new Fraction(6)}};
92 protected Fraction[][] subRows03Cols123 = { {new Fraction(2), new Fraction(3), new Fraction(4)} , {new Fraction(5), new Fraction(6), new Fraction(7)}};
93
94 protected Fraction[][] subRows20Cols123 = { {new Fraction(4), new Fraction(6), new Fraction(8)} , {new Fraction(2), new Fraction(3), new Fraction(4)}};
95 protected Fraction[][] subRows31Cols31 = {{new Fraction(7), new Fraction(5)}, {new Fraction(9, 2), new Fraction(5, 2)}};
96
97 protected Fraction[][] subRows01Cols23 = {{new Fraction(3),new Fraction(4)} , {new Fraction(7, 2), new Fraction(9, 2)}};
98 protected Fraction[][] subRows23Cols00 = {{new Fraction(2)} , {new Fraction(4)}};
99 protected Fraction[][] subRows00Cols33 = {{new Fraction(4)}};
100
101 protected Fraction[][] subRow0 = {{new Fraction(1),new Fraction(2),new Fraction(3),new Fraction(4)}};
102 protected Fraction[][] subRow3 = {{new Fraction(4),new Fraction(5),new Fraction(6),new Fraction(7)}};
103
104 protected Fraction[][] subColumn1 = {{new Fraction(2)}, {new Fraction(5, 2)}, {new Fraction(4)}, {new Fraction(5)}};
105 protected Fraction[][] subColumn3 = {{new Fraction(4)}, {new Fraction(9, 2)}, {new Fraction(8)}, {new Fraction(7)}};
106
107
108 protected double entryTolerance = 10E-16;
109 protected double normTolerance = 10E-14;
110
111
112 @Test
113 void testDimensions() {
114 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
115 Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(testData2);
116 assertEquals(3,m.getRowDimension(),"testData row dimension");
117 assertEquals(3,m.getColumnDimension(),"testData column dimension");
118 assertTrue(m.isSquare(),"testData is square");
119 assertEquals(2, m2.getRowDimension(), "testData2 row dimension");
120 assertEquals(3, m2.getColumnDimension(), "testData2 column dimension");
121 assertFalse(m2.isSquare(), "testData2 is not square");
122 }
123
124
125 @Test
126 void testCopyFunctions() {
127 Array2DRowFieldMatrix<Fraction> m1 = new Array2DRowFieldMatrix<Fraction>(testData);
128 Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(m1.getData());
129 assertEquals(m2,m1);
130 Array2DRowFieldMatrix<Fraction> m3 = new Array2DRowFieldMatrix<Fraction>(testData);
131 Array2DRowFieldMatrix<Fraction> m4 = new Array2DRowFieldMatrix<Fraction>(m3.getData(), false);
132 assertEquals(m4,m3);
133 }
134
135
136 @Test
137 void testAdd() {
138 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
139 Array2DRowFieldMatrix<Fraction> mInv = new Array2DRowFieldMatrix<Fraction>(testDataInv);
140 FieldMatrix<Fraction> mPlusMInv = m.add(mInv);
141 Fraction[][] sumEntries = mPlusMInv.getData();
142 for (int row = 0; row < m.getRowDimension(); row++) {
143 for (int col = 0; col < m.getColumnDimension(); col++) {
144 assertEquals(testDataPlusInv[row][col],sumEntries[row][col]);
145 }
146 }
147 }
148
149
150 @Test
151 void testAddFail() {
152 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
153 Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(testData2);
154 try {
155 m.add(m2);
156 fail("MathIllegalArgumentException expected");
157 } catch (MathIllegalArgumentException ex) {
158
159 }
160 }
161
162
163 @Test
164 void testPlusMinus() {
165 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
166 Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(testDataInv);
167 UnitTestUtils.customAssertEquals(m.subtract(m2), m2.scalarMultiply(new Fraction(-1)).add(m));
168 try {
169 m.subtract(new Array2DRowFieldMatrix<Fraction>(testData2));
170 fail("Expecting illegalArgumentException");
171 } catch (MathIllegalArgumentException ex) {
172
173 }
174 }
175
176
177 @Test
178 void testMultiply() {
179 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
180 Array2DRowFieldMatrix<Fraction> mInv = new Array2DRowFieldMatrix<Fraction>(testDataInv);
181 Array2DRowFieldMatrix<Fraction> identity = new Array2DRowFieldMatrix<Fraction>(id);
182 Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(testData2);
183 UnitTestUtils.customAssertEquals(m.multiply(mInv), identity);
184 UnitTestUtils.customAssertEquals(mInv.multiply(m), identity);
185 UnitTestUtils.customAssertEquals(m.multiply(identity), m);
186 UnitTestUtils.customAssertEquals(identity.multiply(mInv), mInv);
187 UnitTestUtils.customAssertEquals(m2.multiply(identity), m2);
188 try {
189 m.multiply(new Array2DRowFieldMatrix<Fraction>(bigSingular));
190 fail("Expecting illegalArgumentException");
191 } catch (MathIllegalArgumentException ex) {
192
193 }
194 }
195
196
197
198 private final Fraction[][] d3 = new Fraction[][] {{new Fraction(1),new Fraction(2),new Fraction(3),new Fraction(4)},{new Fraction(5),new Fraction(6),new Fraction(7),new Fraction(8)}};
199 private final Fraction[][] d4 = new Fraction[][] {{new Fraction(1)},{new Fraction(2)},{new Fraction(3)},{new Fraction(4)}};
200 private final Fraction[][] d5 = new Fraction[][] {{new Fraction(30)},{new Fraction(70)}};
201
202 @Test
203 void testMultiply2() {
204 FieldMatrix<Fraction> m3 = new Array2DRowFieldMatrix<Fraction>(d3);
205 FieldMatrix<Fraction> m4 = new Array2DRowFieldMatrix<Fraction>(d4);
206 FieldMatrix<Fraction> m5 = new Array2DRowFieldMatrix<Fraction>(d5);
207 UnitTestUtils.customAssertEquals(m3.multiply(m4), m5);
208 }
209
210 @Test
211 void testMultiplyTransposedArray2DRowRealMatrix() {
212 RandomGenerator randomGenerator = new Well1024a(0xdeff3d383a112763l);
213 final FieldMatrixChangingVisitor<Binary64> randomSetter = new DefaultFieldMatrixChangingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
214 public Binary64 visit(final int row, final int column, final Binary64 value) {
215 return new Binary64(randomGenerator.nextDouble());
216 }
217 };
218 final FieldMatrixPreservingVisitor<Binary64> zeroChecker = new DefaultFieldMatrixPreservingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
219 public void visit(final int row, final int column, final Binary64 value) {
220 assertEquals(0.0, value.doubleValue(), 1.0e-15);
221 }
222 };
223 for (int rows = 1; rows <= 64; rows += 7) {
224 for (int cols = 1; cols <= 64; cols += 7) {
225 final Array2DRowFieldMatrix<Binary64> a = new Array2DRowFieldMatrix<>(Binary64Field.getInstance(), rows, cols);
226 a.walkInOptimizedOrder(randomSetter);
227 for (int interm = 1; interm <= 64; interm += 7) {
228 final Array2DRowFieldMatrix<Binary64> b = new Array2DRowFieldMatrix<>(Binary64Field.getInstance(), interm, cols);
229 b.walkInOptimizedOrder(randomSetter);
230 a.multiplyTransposed(b).subtract(a.multiply(b.transpose())).walkInOptimizedOrder(zeroChecker);
231 }
232 }
233 }
234 }
235
236 @Test
237 void testMultiplyTransposedBlockFieldMatrix() {
238 RandomGenerator randomGenerator = new Well1024a(0x463e54fb50b900fel);
239 final FieldMatrixChangingVisitor<Binary64> randomSetter = new DefaultFieldMatrixChangingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
240 public Binary64 visit(final int row, final int column, final Binary64 value) {
241 return new Binary64(randomGenerator.nextDouble());
242 }
243 };
244 final FieldMatrixPreservingVisitor<Binary64> zeroChecker = new DefaultFieldMatrixPreservingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
245 public void visit(final int row, final int column, final Binary64 value) {
246 assertEquals(0.0, value.doubleValue(), 1.0e-15);
247 }
248 };
249 for (int rows = 1; rows <= 64; rows += 7) {
250 for (int cols = 1; cols <= 64; cols += 7) {
251 final Array2DRowFieldMatrix<Binary64> a = new Array2DRowFieldMatrix<>(Binary64Field.getInstance(), rows, cols);
252 a.walkInOptimizedOrder(randomSetter);
253 for (int interm = 1; interm <= 64; interm += 7) {
254 final BlockFieldMatrix<Binary64> b = new BlockFieldMatrix<>(Binary64Field.getInstance(), interm, cols);
255 b.walkInOptimizedOrder(randomSetter);
256 a.multiplyTransposed(b).subtract(a.multiply(b.transpose())).walkInOptimizedOrder(zeroChecker);
257 }
258 }
259 }
260 }
261
262 @Test
263 void testMultiplyTransposedWrongDimensions() {
264 try {
265 new Array2DRowFieldMatrix<Binary64>(Binary64Field.getInstance(), 2, 3).
266 multiplyTransposed(new Array2DRowFieldMatrix<Binary64>(Binary64Field.getInstance(), 3, 2));
267 fail("an exception should have been thrown");
268 } catch (MathIllegalArgumentException miae) {
269 assertEquals(LocalizedCoreFormats.DIMENSIONS_MISMATCH, miae.getSpecifier());
270 assertEquals(3, ((Integer) miae.getParts()[0]).intValue());
271 assertEquals(2, ((Integer) miae.getParts()[1]).intValue());
272 }
273 }
274
275 @Test
276 void testTransposeMultiplyArray2DRowRealMatrix() {
277 RandomGenerator randomGenerator = new Well1024a(0xdeff3d383a112763l);
278 final FieldMatrixChangingVisitor<Binary64> randomSetter = new DefaultFieldMatrixChangingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
279 public Binary64 visit(final int row, final int column, final Binary64 value) {
280 return new Binary64(randomGenerator.nextDouble());
281 }
282 };
283 final FieldMatrixPreservingVisitor<Binary64> zeroChecker = new DefaultFieldMatrixPreservingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
284 public void visit(final int row, final int column, final Binary64 value) {
285 assertEquals(0.0, value.doubleValue(), 1.0e-15);
286 }
287 };
288 for (int rows = 1; rows <= 64; rows += 7) {
289 for (int cols = 1; cols <= 64; cols += 7) {
290 final Array2DRowFieldMatrix<Binary64> a = new Array2DRowFieldMatrix<>(Binary64Field.getInstance(), rows, cols);
291 a.walkInOptimizedOrder(randomSetter);
292 for (int interm = 1; interm <= 64; interm += 7) {
293 final Array2DRowFieldMatrix<Binary64> b = new Array2DRowFieldMatrix<>(Binary64Field.getInstance(), rows, interm);
294 b.walkInOptimizedOrder(randomSetter);
295 a.transposeMultiply(b).subtract(a.transpose().multiply(b)).walkInOptimizedOrder(zeroChecker);
296 }
297 }
298 }
299 }
300
301 @Test
302 void testTransposeMultiplyBlockFieldMatrix() {
303 RandomGenerator randomGenerator = new Well1024a(0x463e54fb50b900fel);
304 final FieldMatrixChangingVisitor<Binary64> randomSetter = new DefaultFieldMatrixChangingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
305 public Binary64 visit(final int row, final int column, final Binary64 value) {
306 return new Binary64(randomGenerator.nextDouble());
307 }
308 };
309 final FieldMatrixPreservingVisitor<Binary64> zeroChecker = new DefaultFieldMatrixPreservingVisitor<Binary64>(Binary64Field.getInstance().getZero()) {
310 public void visit(final int row, final int column, final Binary64 value) {
311 assertEquals(0.0, value.doubleValue(), 1.0e-15);
312 }
313 };
314 for (int rows = 1; rows <= 64; rows += 7) {
315 for (int cols = 1; cols <= 64; cols += 7) {
316 final Array2DRowFieldMatrix<Binary64> a = new Array2DRowFieldMatrix<>(Binary64Field.getInstance(), rows, cols);
317 a.walkInOptimizedOrder(randomSetter);
318 for (int interm = 1; interm <= 64; interm += 7) {
319 final BlockFieldMatrix<Binary64> b = new BlockFieldMatrix<>(Binary64Field.getInstance(), rows, interm);
320 b.walkInOptimizedOrder(randomSetter);
321 a.transposeMultiply(b).subtract(a.transpose().multiply(b)).walkInOptimizedOrder(zeroChecker);
322 }
323 }
324 }
325 }
326
327 @Test
328 void testTransposeMultiplyWrongDimensions() {
329 try {
330 new Array2DRowFieldMatrix<Binary64>(Binary64Field.getInstance(), 2, 3).
331 transposeMultiply(new Array2DRowFieldMatrix<Binary64>(Binary64Field.getInstance(), 3, 2));
332 fail("an exception should have been thrown");
333 } catch (MathIllegalArgumentException miae) {
334 assertEquals(LocalizedCoreFormats.DIMENSIONS_MISMATCH, miae.getSpecifier());
335 assertEquals(2, ((Integer) miae.getParts()[0]).intValue());
336 assertEquals(3, ((Integer) miae.getParts()[1]).intValue());
337 }
338 }
339
340 @Test
341 void testPower() {
342 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
343 FieldMatrix<Fraction> mInv = new Array2DRowFieldMatrix<Fraction>(testDataInv);
344 FieldMatrix<Fraction> mPlusInv = new Array2DRowFieldMatrix<Fraction>(testDataPlusInv);
345 FieldMatrix<Fraction> identity = new Array2DRowFieldMatrix<Fraction>(id);
346
347 UnitTestUtils.customAssertEquals(m.power(0), identity);
348 UnitTestUtils.customAssertEquals(mInv.power(0), identity);
349 UnitTestUtils.customAssertEquals(mPlusInv.power(0), identity);
350
351 UnitTestUtils.customAssertEquals(m.power(1), m);
352 UnitTestUtils.customAssertEquals(mInv.power(1), mInv);
353 UnitTestUtils.customAssertEquals(mPlusInv.power(1), mPlusInv);
354
355 FieldMatrix<Fraction> C1 = m.copy();
356 FieldMatrix<Fraction> C2 = mInv.copy();
357 FieldMatrix<Fraction> C3 = mPlusInv.copy();
358
359
360 for (int i = 2; i <= 5; ++i) {
361 C1 = C1.multiply(m);
362 C2 = C2.multiply(mInv);
363 C3 = C3.multiply(mPlusInv);
364
365 UnitTestUtils.customAssertEquals(m.power(i), C1);
366 UnitTestUtils.customAssertEquals(mInv.power(i), C2);
367 UnitTestUtils.customAssertEquals(mPlusInv.power(i), C3);
368 }
369
370 try {
371 FieldMatrix<Fraction> mNotSquare = new Array2DRowFieldMatrix<Fraction>(testData2T);
372 mNotSquare.power(2);
373 fail("Expecting MathIllegalArgumentException");
374 } catch (MathIllegalArgumentException ex) {
375
376 }
377
378 try {
379 m.power(-1);
380 fail("Expecting MathIllegalArgumentException");
381 } catch (MathIllegalArgumentException ex) {
382
383 }
384 }
385
386
387 @Test
388 void testTrace() {
389 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(id);
390 assertEquals(new Fraction(3),m.getTrace(),"identity trace");
391 m = new Array2DRowFieldMatrix<Fraction>(testData2);
392 try {
393 m.getTrace();
394 fail("Expecting MathIllegalArgumentException");
395 } catch (MathIllegalArgumentException ex) {
396
397 }
398 }
399
400
401 @Test
402 void testScalarAdd() {
403 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
404 UnitTestUtils.customAssertEquals(new Array2DRowFieldMatrix<Fraction>(testDataPlus2), m.scalarAdd(new Fraction(2)));
405 }
406
407
408 @Test
409 void testOperate() {
410 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(id);
411 UnitTestUtils.customAssertEquals(testVector, m.operate(testVector));
412 UnitTestUtils.customAssertEquals(testVector, m.operate(new ArrayFieldVector<Fraction>(testVector)).toArray());
413 m = new Array2DRowFieldMatrix<Fraction>(bigSingular);
414 try {
415 m.operate(testVector);
416 fail("Expecting illegalArgumentException");
417 } catch (MathIllegalArgumentException ex) {
418
419 }
420 }
421
422
423 @Test
424 void testMath209() {
425 FieldMatrix<Fraction> a = new Array2DRowFieldMatrix<Fraction>(new Fraction[][] {
426 { new Fraction(1), new Fraction(2) }, { new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6) }
427 }, false);
428 Fraction[] b = a.operate(new Fraction[] { new Fraction(1), new Fraction(1) });
429 assertEquals(a.getRowDimension(), b.length);
430 assertEquals( new Fraction(3), b[0]);
431 assertEquals( new Fraction(7), b[1]);
432 assertEquals(new Fraction(11), b[2]);
433 }
434
435
436 @Test
437 void testTranspose() {
438 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
439 FieldMatrix<Fraction> mIT = new FieldLUDecomposition<Fraction>(m).getSolver().getInverse().transpose();
440 FieldMatrix<Fraction> mTI = new FieldLUDecomposition<Fraction>(m.transpose()).getSolver().getInverse();
441 UnitTestUtils.customAssertEquals(mIT, mTI);
442 m = new Array2DRowFieldMatrix<Fraction>(testData2);
443 FieldMatrix<Fraction> mt = new Array2DRowFieldMatrix<Fraction>(testData2T);
444 UnitTestUtils.customAssertEquals(mt, m.transpose());
445 }
446
447
448 @Test
449 void testPremultiplyVector() {
450 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
451 UnitTestUtils.customAssertEquals(m.preMultiply(testVector), preMultTest);
452 UnitTestUtils.customAssertEquals(m.preMultiply(new ArrayFieldVector<Fraction>(testVector).toArray()),
453 preMultTest);
454 m = new Array2DRowFieldMatrix<Fraction>(bigSingular);
455 try {
456 m.preMultiply(testVector);
457 fail("expecting MathIllegalArgumentException");
458 } catch (MathIllegalArgumentException ex) {
459
460 }
461 }
462
463 @Test
464 void testPremultiply() {
465 FieldMatrix<Fraction> m3 = new Array2DRowFieldMatrix<Fraction>(d3);
466 FieldMatrix<Fraction> m4 = new Array2DRowFieldMatrix<Fraction>(d4);
467 FieldMatrix<Fraction> m5 = new Array2DRowFieldMatrix<Fraction>(d5);
468 UnitTestUtils.customAssertEquals(m4.preMultiply(m3), m5);
469
470 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
471 Array2DRowFieldMatrix<Fraction> mInv = new Array2DRowFieldMatrix<Fraction>(testDataInv);
472 Array2DRowFieldMatrix<Fraction> identity = new Array2DRowFieldMatrix<Fraction>(id);
473 UnitTestUtils.customAssertEquals(m.preMultiply(mInv), identity);
474 UnitTestUtils.customAssertEquals(mInv.preMultiply(m), identity);
475 UnitTestUtils.customAssertEquals(m.preMultiply(identity), m);
476 UnitTestUtils.customAssertEquals(identity.preMultiply(mInv), mInv);
477 try {
478 m.preMultiply(new Array2DRowFieldMatrix<Fraction>(bigSingular));
479 fail("Expecting illegalArgumentException");
480 } catch (MathIllegalArgumentException ex) {
481
482 }
483 }
484
485 @Test
486 void testGetVectors() {
487 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
488 UnitTestUtils.customAssertEquals(m.getRow(0), testDataRow1);
489 UnitTestUtils.customAssertEquals(m.getColumn(2), testDataCol3);
490 try {
491 m.getRow(10);
492 fail("expecting MathIllegalArgumentException");
493 } catch (MathIllegalArgumentException ex) {
494
495 }
496 try {
497 m.getColumn(-1);
498 fail("expecting MathIllegalArgumentException");
499 } catch (MathIllegalArgumentException ex) {
500
501 }
502 }
503
504 @Test
505 void testGetEntry() {
506 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
507 assertEquals(m.getEntry(0,1), new Fraction(2), "get entry");
508 try {
509 m.getEntry(10, 4);
510 fail ("Expecting MathIllegalArgumentException");
511 } catch (MathIllegalArgumentException ex) {
512
513 }
514 }
515
516
517 @Test
518 void testExamples() {
519
520 Fraction[][] matrixData = {
521 {new Fraction(1),new Fraction(2),new Fraction(3)},
522 {new Fraction(2),new Fraction(5),new Fraction(3)}
523 };
524 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(matrixData);
525
526 Fraction[][] matrixData2 = {
527 {new Fraction(1),new Fraction(2)},
528 {new Fraction(2),new Fraction(5)},
529 {new Fraction(1), new Fraction(7)}
530 };
531 FieldMatrix<Fraction> n = new Array2DRowFieldMatrix<Fraction>(matrixData2);
532
533 FieldMatrix<Fraction> p = m.multiply(n);
534 assertEquals(2, p.getRowDimension());
535 assertEquals(2, p.getColumnDimension());
536
537 FieldMatrix<Fraction> pInverse = new FieldLUDecomposition<Fraction>(p).getSolver().getInverse();
538 assertEquals(2, pInverse.getRowDimension());
539 assertEquals(2, pInverse.getColumnDimension());
540
541
542 Fraction[][] coefficientsData = {
543 {new Fraction(2), new Fraction(3), new Fraction(-2)},
544 {new Fraction(-1), new Fraction(7), new Fraction(6)},
545 {new Fraction(4), new Fraction(-3), new Fraction(-5)}
546 };
547 FieldMatrix<Fraction> coefficients = new Array2DRowFieldMatrix<Fraction>(coefficientsData);
548 Fraction[] constants = {
549 new Fraction(1), new Fraction(-2), new Fraction(1)
550 };
551 Fraction[] solution;
552 solution = new FieldLUDecomposition<Fraction>(coefficients)
553 .getSolver()
554 .solve(new ArrayFieldVector<Fraction>(constants, false)).toArray();
555 assertEquals(new Fraction(2).multiply(solution[0]).
556 add(new Fraction(3).multiply(solution[1])).
557 subtract(new Fraction(2).multiply(solution[2])), constants[0]);
558 assertEquals(new Fraction(-1).multiply(solution[0]).
559 add(new Fraction(7).multiply(solution[1])).
560 add(new Fraction(6).multiply(solution[2])), constants[1]);
561 assertEquals(new Fraction(4).multiply(solution[0]).
562 subtract(new Fraction(3).multiply(solution[1])).
563 subtract(new Fraction(5).multiply(solution[2])), constants[2]);
564
565 }
566
567
568 @Test
569 void testGetSubMatrix() {
570 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
571 checkGetSubMatrix(m, subRows23Cols00, 2 , 3 , 0, 0);
572 checkGetSubMatrix(m, subRows00Cols33, 0 , 0 , 3, 3);
573 checkGetSubMatrix(m, subRows01Cols23, 0 , 1 , 2, 3);
574 checkGetSubMatrix(m, subRows02Cols13, new int[] { 0, 2 }, new int[] { 1, 3 });
575 checkGetSubMatrix(m, subRows03Cols12, new int[] { 0, 3 }, new int[] { 1, 2 });
576 checkGetSubMatrix(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 });
577 checkGetSubMatrix(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 });
578 checkGetSubMatrix(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 });
579 checkGetSubMatrix(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 });
580 checkGetSubMatrix(m, null, 1, 0, 2, 4);
581 checkGetSubMatrix(m, null, -1, 1, 2, 2);
582 checkGetSubMatrix(m, null, 1, 0, 2, 2);
583 checkGetSubMatrix(m, null, 1, 0, 2, 4);
584 checkGetSubMatrix(m, null, new int[] {}, new int[] { 0 });
585 checkGetSubMatrix(m, null, new int[] { 0 }, new int[] { 4 });
586 }
587
588 private void checkGetSubMatrix(FieldMatrix<Fraction> m, Fraction[][] reference,
589 int startRow, int endRow, int startColumn, int endColumn) {
590 try {
591 FieldMatrix<Fraction> sub = m.getSubMatrix(startRow, endRow, startColumn, endColumn);
592 if (reference != null) {
593 assertEquals(new Array2DRowFieldMatrix<Fraction>(reference), sub);
594 } else {
595 fail("Expecting MathIllegalArgumentException or MathIllegalArgumentException"
596 + " or MathIllegalArgumentException or MathIllegalArgumentException");
597 }
598 } catch (MathIllegalArgumentException e) {
599 if (reference != null) {
600 throw e;
601 }
602 }
603 }
604
605 private void checkGetSubMatrix(FieldMatrix<Fraction> m, Fraction[][] reference,
606 int[] selectedRows, int[] selectedColumns) {
607 try {
608 FieldMatrix<Fraction> sub = m.getSubMatrix(selectedRows, selectedColumns);
609 if (reference != null) {
610 assertEquals(new Array2DRowFieldMatrix<Fraction>(reference), sub);
611 } else {
612 fail("Expecting MathIllegalArgumentException or MathIllegalArgumentException"
613 + " or MathIllegalArgumentException or MathIllegalArgumentException");
614 }
615 } catch (MathIllegalArgumentException e) {
616 if (reference != null) {
617 throw e;
618 }
619 }
620 }
621
622 @Test
623 void testCopySubMatrix() {
624 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
625 checkCopy(m, subRows23Cols00, 2 , 3 , 0, 0);
626 checkCopy(m, subRows00Cols33, 0 , 0 , 3, 3);
627 checkCopy(m, subRows01Cols23, 0 , 1 , 2, 3);
628 checkCopy(m, subRows02Cols13, new int[] { 0, 2 }, new int[] { 1, 3 });
629 checkCopy(m, subRows03Cols12, new int[] { 0, 3 }, new int[] { 1, 2 });
630 checkCopy(m, subRows03Cols123, new int[] { 0, 3 }, new int[] { 1, 2, 3 });
631 checkCopy(m, subRows20Cols123, new int[] { 2, 0 }, new int[] { 1, 2, 3 });
632 checkCopy(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 });
633 checkCopy(m, subRows31Cols31, new int[] { 3, 1 }, new int[] { 3, 1 });
634
635 checkCopy(m, null, 1, 0, 2, 4);
636 checkCopy(m, null, -1, 1, 2, 2);
637 checkCopy(m, null, 1, 0, 2, 2);
638 checkCopy(m, null, 1, 0, 2, 4);
639 checkCopy(m, null, new int[] {}, new int[] { 0 });
640 checkCopy(m, null, new int[] { 0 }, new int[] { 4 });
641 }
642
643 private void checkCopy(FieldMatrix<Fraction> m, Fraction[][] reference,
644 int startRow, int endRow, int startColumn, int endColumn) {
645 try {
646 Fraction[][] sub = (reference == null) ?
647 new Fraction[1][1] :
648 new Fraction[reference.length][reference[0].length];
649 m.copySubMatrix(startRow, endRow, startColumn, endColumn, sub);
650 if (reference != null) {
651 assertEquals(new Array2DRowFieldMatrix<Fraction>(reference), new Array2DRowFieldMatrix<Fraction>(sub));
652 } else {
653 fail("Expecting MathIllegalArgumentException or MathIllegalArgumentException or MathIllegalArgumentException");
654 }
655 } catch (MathIllegalArgumentException e) {
656 if (reference != null) {
657 throw e;
658 }
659 }
660 }
661
662 private void checkCopy(FieldMatrix<Fraction> m, Fraction[][] reference,
663 int[] selectedRows, int[] selectedColumns) {
664 try {
665 Fraction[][] sub = (reference == null) ?
666 new Fraction[1][1] :
667 new Fraction[reference.length][reference[0].length];
668 m.copySubMatrix(selectedRows, selectedColumns, sub);
669 if (reference != null) {
670 assertEquals(new Array2DRowFieldMatrix<Fraction>(reference), new Array2DRowFieldMatrix<Fraction>(sub));
671 } else {
672 fail("Expecting MathIllegalArgumentException or MathIllegalArgumentException or MathIllegalArgumentException");
673 }
674 } catch (MathIllegalArgumentException e) {
675 if (reference != null) {
676 throw e;
677 }
678 }
679 }
680
681 @Test
682 void testGetRowMatrix() {
683 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
684 FieldMatrix<Fraction> mRow0 = new Array2DRowFieldMatrix<Fraction>(subRow0);
685 FieldMatrix<Fraction> mRow3 = new Array2DRowFieldMatrix<Fraction>(subRow3);
686 assertEquals(mRow0,
687 m.getRowMatrix(0),
688 "Row0");
689 assertEquals(mRow3,
690 m.getRowMatrix(3),
691 "Row3");
692 try {
693 m.getRowMatrix(-1);
694 fail("Expecting MathIllegalArgumentException");
695 } catch (MathIllegalArgumentException ex) {
696
697 }
698 try {
699 m.getRowMatrix(4);
700 fail("Expecting MathIllegalArgumentException");
701 } catch (MathIllegalArgumentException ex) {
702
703 }
704 }
705
706 @Test
707 void testSetRowMatrix() {
708 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
709 FieldMatrix<Fraction> mRow3 = new Array2DRowFieldMatrix<Fraction>(subRow3);
710 assertNotSame(mRow3, m.getRowMatrix(0));
711 m.setRowMatrix(0, mRow3);
712 assertEquals(mRow3, m.getRowMatrix(0));
713 try {
714 m.setRowMatrix(-1, mRow3);
715 fail("Expecting MathIllegalArgumentException");
716 } catch (MathIllegalArgumentException ex) {
717
718 }
719 try {
720 m.setRowMatrix(0, m);
721 fail("Expecting MathIllegalArgumentException");
722 } catch (MathIllegalArgumentException ex) {
723
724 }
725 }
726
727 @Test
728 void testGetColumnMatrix() {
729 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
730 FieldMatrix<Fraction> mColumn1 = new Array2DRowFieldMatrix<Fraction>(subColumn1);
731 FieldMatrix<Fraction> mColumn3 = new Array2DRowFieldMatrix<Fraction>(subColumn3);
732 assertEquals(mColumn1,
733 m.getColumnMatrix(1),
734 "Column1");
735 assertEquals(mColumn3,
736 m.getColumnMatrix(3),
737 "Column3");
738 try {
739 m.getColumnMatrix(-1);
740 fail("Expecting MathIllegalArgumentException");
741 } catch (MathIllegalArgumentException ex) {
742
743 }
744 try {
745 m.getColumnMatrix(4);
746 fail("Expecting MathIllegalArgumentException");
747 } catch (MathIllegalArgumentException ex) {
748
749 }
750 }
751
752 @Test
753 void testSetColumnMatrix() {
754 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
755 FieldMatrix<Fraction> mColumn3 = new Array2DRowFieldMatrix<Fraction>(subColumn3);
756 assertNotSame(mColumn3, m.getColumnMatrix(1));
757 m.setColumnMatrix(1, mColumn3);
758 assertEquals(mColumn3, m.getColumnMatrix(1));
759 try {
760 m.setColumnMatrix(-1, mColumn3);
761 fail("Expecting MathIllegalArgumentException");
762 } catch (MathIllegalArgumentException ex) {
763
764 }
765 try {
766 m.setColumnMatrix(0, m);
767 fail("Expecting MathIllegalArgumentException");
768 } catch (MathIllegalArgumentException ex) {
769
770 }
771 }
772
773 @Test
774 void testGetRowVector() {
775 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
776 FieldVector<Fraction> mRow0 = new ArrayFieldVector<Fraction>(subRow0[0]);
777 FieldVector<Fraction> mRow3 = new ArrayFieldVector<Fraction>(subRow3[0]);
778 assertEquals(mRow0, m.getRowVector(0), "Row0");
779 assertEquals(mRow3, m.getRowVector(3), "Row3");
780 try {
781 m.getRowVector(-1);
782 fail("Expecting MathIllegalArgumentException");
783 } catch (MathIllegalArgumentException ex) {
784
785 }
786 try {
787 m.getRowVector(4);
788 fail("Expecting MathIllegalArgumentException");
789 } catch (MathIllegalArgumentException ex) {
790
791 }
792 }
793
794 @Test
795 void testSetRowVector() {
796 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
797 FieldVector<Fraction> mRow3 = new ArrayFieldVector<Fraction>(subRow3[0]);
798 assertNotSame(mRow3, m.getRowMatrix(0));
799 m.setRowVector(0, mRow3);
800 assertEquals(mRow3, m.getRowVector(0));
801 try {
802 m.setRowVector(-1, mRow3);
803 fail("Expecting MathIllegalArgumentException");
804 } catch (MathIllegalArgumentException ex) {
805
806 }
807 try {
808 m.setRowVector(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), 5));
809 fail("Expecting MathIllegalArgumentException");
810 } catch (MathIllegalArgumentException ex) {
811
812 }
813 }
814
815 @Test
816 void testGetColumnVector() {
817 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
818 FieldVector<Fraction> mColumn1 = columnToVector(subColumn1);
819 FieldVector<Fraction> mColumn3 = columnToVector(subColumn3);
820 assertEquals(mColumn1, m.getColumnVector(1), "Column1");
821 assertEquals(mColumn3, m.getColumnVector(3), "Column3");
822 try {
823 m.getColumnVector(-1);
824 fail("Expecting MathIllegalArgumentException");
825 } catch (MathIllegalArgumentException ex) {
826
827 }
828 try {
829 m.getColumnVector(4);
830 fail("Expecting MathIllegalArgumentException");
831 } catch (MathIllegalArgumentException ex) {
832
833 }
834 }
835
836 @Test
837 void testSetColumnVector() {
838 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
839 FieldVector<Fraction> mColumn3 = columnToVector(subColumn3);
840 assertNotSame(mColumn3, m.getColumnVector(1));
841 m.setColumnVector(1, mColumn3);
842 assertEquals(mColumn3, m.getColumnVector(1));
843 try {
844 m.setColumnVector(-1, mColumn3);
845 fail("Expecting MathIllegalArgumentException");
846 } catch (MathIllegalArgumentException ex) {
847
848 }
849 try {
850 m.setColumnVector(0, new ArrayFieldVector<Fraction>(FractionField.getInstance(), 5));
851 fail("Expecting MathIllegalArgumentException");
852 } catch (MathIllegalArgumentException ex) {
853
854 }
855 }
856
857 private FieldVector<Fraction> columnToVector(Fraction[][] column) {
858 Fraction[] data = new Fraction[column.length];
859 for (int i = 0; i < data.length; ++i) {
860 data[i] = column[i][0];
861 }
862 return new ArrayFieldVector<Fraction>(data, false);
863 }
864
865 @Test
866 void testGetRow() {
867 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
868 checkArrays(subRow0[0], m.getRow(0));
869 checkArrays(subRow3[0], m.getRow(3));
870 try {
871 m.getRow(-1);
872 fail("Expecting MathIllegalArgumentException");
873 } catch (MathIllegalArgumentException ex) {
874
875 }
876 try {
877 m.getRow(4);
878 fail("Expecting MathIllegalArgumentException");
879 } catch (MathIllegalArgumentException ex) {
880
881 }
882 }
883
884 @Test
885 void testSetRow() {
886 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
887 assertTrue(subRow3[0][0] != m.getRow(0)[0]);
888 m.setRow(0, subRow3[0]);
889 checkArrays(subRow3[0], m.getRow(0));
890 try {
891 m.setRow(-1, subRow3[0]);
892 fail("Expecting MathIllegalArgumentException");
893 } catch (MathIllegalArgumentException ex) {
894
895 }
896 try {
897 m.setRow(0, new Fraction[5]);
898 fail("Expecting MathIllegalArgumentException");
899 } catch (MathIllegalArgumentException ex) {
900
901 }
902 }
903
904 @Test
905 void testGetColumn() {
906 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
907 Fraction[] mColumn1 = columnToArray(subColumn1);
908 Fraction[] mColumn3 = columnToArray(subColumn3);
909 checkArrays(mColumn1, m.getColumn(1));
910 checkArrays(mColumn3, m.getColumn(3));
911 try {
912 m.getColumn(-1);
913 fail("Expecting MathIllegalArgumentException");
914 } catch (MathIllegalArgumentException ex) {
915
916 }
917 try {
918 m.getColumn(4);
919 fail("Expecting MathIllegalArgumentException");
920 } catch (MathIllegalArgumentException ex) {
921
922 }
923 }
924
925 @Test
926 void testSetColumn() {
927 FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(subTestData);
928 Fraction[] mColumn3 = columnToArray(subColumn3);
929 assertTrue(mColumn3[0] != m.getColumn(1)[0]);
930 m.setColumn(1, mColumn3);
931 checkArrays(mColumn3, m.getColumn(1));
932 try {
933 m.setColumn(-1, mColumn3);
934 fail("Expecting MathIllegalArgumentException");
935 } catch (MathIllegalArgumentException ex) {
936
937 }
938 try {
939 m.setColumn(0, new Fraction[5]);
940 fail("Expecting MathIllegalArgumentException");
941 } catch (MathIllegalArgumentException ex) {
942
943 }
944 }
945
946 private Fraction[] columnToArray(Fraction[][] column) {
947 Fraction[] data = new Fraction[column.length];
948 for (int i = 0; i < data.length; ++i) {
949 data[i] = column[i][0];
950 }
951 return data;
952 }
953
954 private void checkArrays(Fraction[] expected, Fraction[] actual) {
955 assertEquals(expected.length, actual.length);
956 for (int i = 0; i < expected.length; ++i) {
957 assertEquals(expected[i], actual[i]);
958 }
959 }
960
961 @Test
962 void testEqualsAndHashCode() {
963 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
964 Array2DRowFieldMatrix<Fraction> m1 = (Array2DRowFieldMatrix<Fraction>) m.copy();
965 Array2DRowFieldMatrix<Fraction> mt = (Array2DRowFieldMatrix<Fraction>) m.transpose();
966 assertTrue(m.hashCode() != mt.hashCode());
967 assertEquals(m.hashCode(), m1.hashCode());
968 assertEquals(m, m);
969 assertEquals(m, m1);
970 assertNotEquals(null, m);
971 assertNotEquals(m, mt);
972 assertNotEquals(m, new Array2DRowFieldMatrix<Fraction>(bigSingular));
973 }
974
975 @Test
976 void testToString() {
977 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
978 assertEquals("Array2DRowFieldMatrix{{1,2,3},{2,5,3},{1,0,8}}", m.toString());
979 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance());
980 assertEquals("Array2DRowFieldMatrix{}", m.toString());
981 }
982
983 @Test
984 void testSetSubMatrix() {
985 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
986 m.setSubMatrix(detData2,1,1);
987 FieldMatrix<Fraction> expected = new Array2DRowFieldMatrix<Fraction>
988 (new Fraction[][] {
989 {new Fraction(1),new Fraction(2),new Fraction(3)},
990 {new Fraction(2),new Fraction(1),new Fraction(3)},
991 {new Fraction(1),new Fraction(2),new Fraction(4)}
992 });
993 assertEquals(expected, m);
994
995 m.setSubMatrix(detData2,0,0);
996 expected = new Array2DRowFieldMatrix<Fraction>
997 (new Fraction[][] {
998 {new Fraction(1),new Fraction(3),new Fraction(3)},
999 {new Fraction(2),new Fraction(4),new Fraction(3)},
1000 {new Fraction(1),new Fraction(2),new Fraction(4)}
1001 });
1002 assertEquals(expected, m);
1003
1004 m.setSubMatrix(testDataPlus2,0,0);
1005 expected = new Array2DRowFieldMatrix<Fraction>
1006 (new Fraction[][] {
1007 {new Fraction(3),new Fraction(4),new Fraction(5)},
1008 {new Fraction(4),new Fraction(7),new Fraction(5)},
1009 {new Fraction(3),new Fraction(2),new Fraction(10)}
1010 });
1011 assertEquals(expected, m);
1012
1013
1014 try {
1015 m.setSubMatrix(testData,1,1);
1016 fail("expecting MathIllegalArgumentException");
1017 } catch (MathIllegalArgumentException e) {
1018
1019 }
1020
1021 try {
1022 m.setSubMatrix(testData,-1,1);
1023 fail("expecting MathIllegalArgumentException");
1024 } catch (MathIllegalArgumentException e) {
1025
1026 }
1027 try {
1028 m.setSubMatrix(testData,1,-1);
1029 fail("expecting MathIllegalArgumentException");
1030 } catch (MathIllegalArgumentException e) {
1031
1032 }
1033
1034
1035 try {
1036 m.setSubMatrix(null, 1, 1);
1037 fail("expecting NullArgumentException");
1038 } catch (NullArgumentException e) {
1039
1040 }
1041 Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance());
1042 try {
1043 m2.setSubMatrix(testData,0,1);
1044 fail("expecting MathIllegalStateException");
1045 } catch (MathIllegalStateException e) {
1046
1047 }
1048 try {
1049 m2.setSubMatrix(testData,1,0);
1050 fail("expecting MathIllegalStateException");
1051 } catch (MathIllegalStateException e) {
1052
1053 }
1054
1055
1056 try {
1057 m.setSubMatrix(new Fraction[][] {{new Fraction(1)}, {new Fraction(2), new Fraction(3)}}, 0, 0);
1058 fail("expecting MathIllegalArgumentException");
1059 } catch (MathIllegalArgumentException e) {
1060
1061 }
1062
1063
1064 try {
1065 m.setSubMatrix(new Fraction[][] {{}}, 0, 0);
1066 fail("expecting MathIllegalArgumentException");
1067 } catch (MathIllegalArgumentException e) {
1068
1069 }
1070
1071 }
1072
1073 @Test
1074 void testWalk() {
1075 int rows = 150;
1076 int columns = 75;
1077
1078 FieldMatrix<Fraction> m =
1079 new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1080 m.walkInRowOrder(new SetVisitor());
1081 GetVisitor getVisitor = new GetVisitor();
1082 m.walkInOptimizedOrder(getVisitor);
1083 assertEquals(rows * columns, getVisitor.getCount());
1084
1085 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1086 m.walkInRowOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
1087 getVisitor = new GetVisitor();
1088 m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2);
1089 assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
1090 for (int i = 0; i < rows; ++i) {
1091 assertEquals(new Fraction(0), m.getEntry(i, 0));
1092 assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
1093 }
1094 for (int j = 0; j < columns; ++j) {
1095 assertEquals(new Fraction(0), m.getEntry(0, j));
1096 assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
1097 }
1098
1099 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1100 m.walkInColumnOrder(new SetVisitor());
1101 getVisitor = new GetVisitor();
1102 m.walkInOptimizedOrder(getVisitor);
1103 assertEquals(rows * columns, getVisitor.getCount());
1104
1105 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1106 m.walkInColumnOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
1107 getVisitor = new GetVisitor();
1108 m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2);
1109 assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
1110 for (int i = 0; i < rows; ++i) {
1111 assertEquals(new Fraction(0), m.getEntry(i, 0));
1112 assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
1113 }
1114 for (int j = 0; j < columns; ++j) {
1115 assertEquals(new Fraction(0), m.getEntry(0, j));
1116 assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
1117 }
1118
1119 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1120 m.walkInOptimizedOrder(new SetVisitor());
1121 getVisitor = new GetVisitor();
1122 m.walkInRowOrder(getVisitor);
1123 assertEquals(rows * columns, getVisitor.getCount());
1124
1125 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1126 m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
1127 getVisitor = new GetVisitor();
1128 m.walkInRowOrder(getVisitor, 1, rows - 2, 1, columns - 2);
1129 assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
1130 for (int i = 0; i < rows; ++i) {
1131 assertEquals(new Fraction(0), m.getEntry(i, 0));
1132 assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
1133 }
1134 for (int j = 0; j < columns; ++j) {
1135 assertEquals(new Fraction(0), m.getEntry(0, j));
1136 assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
1137 }
1138
1139 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1140 m.walkInOptimizedOrder(new SetVisitor());
1141 getVisitor = new GetVisitor();
1142 m.walkInColumnOrder(getVisitor);
1143 assertEquals(rows * columns, getVisitor.getCount());
1144
1145 m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
1146 m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
1147 getVisitor = new GetVisitor();
1148 m.walkInColumnOrder(getVisitor, 1, rows - 2, 1, columns - 2);
1149 assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
1150 for (int i = 0; i < rows; ++i) {
1151 assertEquals(new Fraction(0), m.getEntry(i, 0));
1152 assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
1153 }
1154 for (int j = 0; j < columns; ++j) {
1155 assertEquals(new Fraction(0), m.getEntry(0, j));
1156 assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
1157 }
1158 }
1159
1160 @Test
1161 void testSerial() {
1162 Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
1163 assertEquals(m,UnitTestUtils.serializeAndRecover(m));
1164 }
1165
1166 private static class SetVisitor extends DefaultFieldMatrixChangingVisitor<Fraction> {
1167 public SetVisitor() {
1168 super(Fraction.ZERO);
1169 }
1170 @Override
1171 public Fraction visit(int i, int j, Fraction value) {
1172 return new Fraction(i * 1024 + j, 1024);
1173 }
1174 }
1175
1176 private static class GetVisitor extends DefaultFieldMatrixPreservingVisitor<Fraction> {
1177 private int count;
1178 public GetVisitor() {
1179 super(Fraction.ZERO);
1180 count = 0;
1181 }
1182 @Override
1183 public void visit(int i, int j, Fraction value) {
1184 ++count;
1185 assertEquals(new Fraction(i * 1024 + j, 1024), value);
1186 }
1187 public int getCount() {
1188 return count;
1189 }
1190 }
1191
1192
1193
1194
1195 protected void splitLU(FieldMatrix<Fraction> lu,
1196 Fraction[][] lowerData,
1197 Fraction[][] upperData) {
1198 if (!lu.isSquare()) {
1199 throw new MathIllegalArgumentException(LocalizedCoreFormats.NON_SQUARE_MATRIX,
1200 lu.getRowDimension(), lu.getColumnDimension());
1201 }
1202 if (lowerData.length != lowerData[0].length) {
1203 throw new MathIllegalArgumentException(LocalizedCoreFormats.DIMENSIONS_MISMATCH,
1204 lowerData.length, lowerData[0].length);
1205 }
1206 if (upperData.length != upperData[0].length) {
1207 throw new MathIllegalArgumentException(LocalizedCoreFormats.DIMENSIONS_MISMATCH,
1208 upperData.length, upperData[0].length);
1209 }
1210 if (lowerData.length != upperData.length) {
1211 throw new MathIllegalArgumentException(LocalizedCoreFormats.DIMENSIONS_MISMATCH,
1212 lowerData.length, upperData.length);
1213 }
1214 if (lowerData.length != lu.getRowDimension()) {
1215 throw new MathIllegalArgumentException(LocalizedCoreFormats.DIMENSIONS_MISMATCH,
1216 lowerData.length, lu.getRowDimension());
1217 }
1218 int n = lu.getRowDimension();
1219 for (int i = 0; i < n; i++) {
1220 for (int j = 0; j < n; j++) {
1221 if (j < i) {
1222 lowerData[i][j] = lu.getEntry(i, j);
1223 upperData[i][j] = Fraction.ZERO;
1224 } else if (i == j) {
1225 lowerData[i][j] = Fraction.ONE;
1226 upperData[i][j] = lu.getEntry(i, j);
1227 } else {
1228 lowerData[i][j] = Fraction.ZERO;
1229 upperData[i][j] = lu.getEntry(i, j);
1230 }
1231 }
1232 }
1233 }
1234
1235
1236 protected FieldMatrix<Fraction> permuteRows(FieldMatrix<Fraction> matrix, int[] permutation) {
1237 if (!matrix.isSquare()) {
1238 throw new MathIllegalArgumentException(LocalizedCoreFormats.NON_SQUARE_MATRIX,
1239 matrix.getRowDimension(), matrix.getColumnDimension());
1240 }
1241 if (matrix.getRowDimension() != permutation.length) {
1242 throw new MathIllegalArgumentException(LocalizedCoreFormats.DIMENSIONS_MISMATCH,
1243 matrix.getRowDimension(), permutation.length);
1244 }
1245 int n = matrix.getRowDimension();
1246 int m = matrix.getColumnDimension();
1247 Fraction[][] out = new Fraction[m][n];
1248 for (int i = 0; i < n; i++) {
1249 for (int j = 0; j < m; j++) {
1250 out[i][j] = matrix.getEntry(permutation[i], j);
1251 }
1252 }
1253 return new Array2DRowFieldMatrix<Fraction>(out);
1254 }
1255 }