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1   package org.djunits.value.vfloat.matrix;
2   
3   import static org.junit.Assert.assertEquals;
4   import static org.junit.Assert.assertFalse;
5   import static org.junit.Assert.assertNotEquals;
6   import static org.junit.Assert.assertTrue;
7   import static org.junit.Assert.fail;
8   
9   import java.lang.reflect.InvocationTargetException;
10  import java.lang.reflect.Method;
11  
12  import org.djunits.Try;
13  import org.djunits.unit.AbsoluteTemperatureUnit;
14  import org.djunits.unit.AngleUnit;
15  import org.djunits.unit.AreaUnit;
16  import org.djunits.unit.DirectionUnit;
17  import org.djunits.unit.DurationUnit;
18  import org.djunits.unit.LengthUnit;
19  import org.djunits.unit.PositionUnit;
20  import org.djunits.unit.SIUnit;
21  import org.djunits.unit.TemperatureUnit;
22  import org.djunits.unit.TimeUnit;
23  import org.djunits.unit.Unit;
24  import org.djunits.unit.quantity.Quantities;
25  import org.djunits.unit.quantity.Quantity;
26  import org.djunits.unit.util.UnitException;
27  import org.djunits.unit.util.UnitRuntimeException;
28  import org.djunits.value.CLASSNAMES;
29  import org.djunits.value.ValueRuntimeException;
30  import org.djunits.value.storage.StorageType;
31  import org.djunits.value.vdouble.matrix.AreaMatrix;
32  import org.djunits.value.vdouble.matrix.Determinant;
33  import org.djunits.value.vdouble.matrix.base.DoubleMatrix;
34  import org.djunits.value.vfloat.function.FloatMathFunctions;
35  import org.djunits.value.vfloat.matrix.base.AbstractFloatMatrixRel;
36  import org.djunits.value.vfloat.matrix.base.FloatMatrix;
37  import org.djunits.value.vfloat.matrix.base.FloatSparseValue;
38  import org.djunits.value.vfloat.matrix.data.FloatMatrixData;
39  import org.djunits.value.vfloat.scalar.FloatAbsoluteTemperature;
40  import org.djunits.value.vfloat.scalar.FloatArea;
41  import org.djunits.value.vfloat.scalar.FloatDirection;
42  import org.djunits.value.vfloat.scalar.FloatDuration;
43  import org.djunits.value.vfloat.scalar.FloatLength;
44  import org.djunits.value.vfloat.scalar.FloatPosition;
45  import org.djunits.value.vfloat.scalar.FloatTime;
46  import org.djunits.value.vfloat.vector.FLOATVECTOR;
47  import org.djunits.value.vfloat.vector.FloatAreaVector;
48  import org.junit.Test;
49  
50  /**
51   * ...
52   */
53  public class FloatMatrixMethodTest
54  {
55  
56      /**
57       * Test the standard methods of all matrix classes.
58       * @throws UnitException on error
59       * @throws ValueRuntimeException on error
60       */
61      @Test
62      public void testMatrixMethods() throws ValueRuntimeException, UnitException
63      {
64          float[][] denseTestData = FLOATMATRIX.denseRectArrays(10, 20);
65          float[][] sparseTestData = FLOATMATRIX.sparseRectArrays(10, 20);
66          float[][] reverseSparseTestData = new float[sparseTestData.length][];
67          // sparseTestData and reverseSparseTestData should not "run out of values" at the same index
68          for (int index = 0; index < sparseTestData.length; index++)
69          {
70              reverseSparseTestData[reverseSparseTestData.length - 1 - index] = sparseTestData[index];
71          }
72          // Ensure that there are > 50% positions where both have a non-zero value
73          for (int row = 1; row < 8; row++)
74          {
75              for (int col = 2; col < 18; col++)
76              {
77                  sparseTestData[row][col] = 10000.456f + row + 100 * col;
78                  reverseSparseTestData[row][col] = 20000.567f + row + 100 * col;
79              }
80          }
81  
82          for (StorageType storageType : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
83          {
84              for (AreaUnit au : new AreaUnit[] { AreaUnit.SQUARE_METER, AreaUnit.ACRE })
85              {
86                  float[][] testData = storageType.equals(StorageType.DENSE) ? denseTestData : sparseTestData;
87                  FloatAreaMatrix am =
88                          FloatMatrix.instantiate(FloatMatrixData.instantiate(testData, au.getScale(), storageType), au);
89  
90                  // INDEX CHECKING
91                  for (int row : new int[] { -1, 0, denseTestData.length - 1, denseTestData.length })
92                  {
93                      for (int col : new int[] { -1, 0, denseTestData[0].length - 1, denseTestData[0].length })
94                      {
95                          if (row < 0 || col < 0 || row >= denseTestData.length || col >= denseTestData[0].length)
96                          {
97                              try
98                              {
99                                  am.get(row, col);
100                                 fail("bad row or bad column value should have thrown a ValueRuntimeException");
101                             }
102                             catch (ValueRuntimeException vre)
103                             {
104                                 // Ignore expected exception
105                             }
106                         }
107                         else
108                         {
109                             am.get(row, col);
110                         }
111                     }
112                     if (row < 0 || row >= denseTestData.length)
113                     {
114                         try
115                         {
116                             am.getRow(row);
117                             fail("getRow with bad row value should have thrown a ValueRuntimeException");
118                         }
119                         catch (ValueRuntimeException vre)
120                         {
121                             // Ignore expected exception
122                         }
123                     }
124                 }
125                 for (int col : new int[] { -1, 0, denseTestData[0].length - 1, denseTestData[0].length })
126                 {
127                     if (col < 0 || col >= denseTestData[0].length)
128                     {
129                         try
130                         {
131                             am.getColumn(col);
132                             fail("getColumn with bad column value should have thrown a ValueRuntimeException");
133                         }
134                         catch (ValueRuntimeException vre)
135                         {
136                             // Ignore expected exception
137                         }
138                     }
139                     else
140                     {
141                         am.getColumn(col);
142                     }
143                 }
144 
145                 // SPARSE AND DENSE
146                 assertEquals(am, am.toSparse());
147                 assertEquals(am, am.toDense());
148                 assertEquals(am, am.toSparse().toDense());
149                 assertEquals(am, am.toDense().toSparse());
150                 assertEquals(am.hashCode(), am.toSparse().hashCode());
151                 assertEquals(am.hashCode(), am.toDense().hashCode());
152                 assertTrue(am.toDense().isDense());
153                 assertFalse(am.toDense().isSparse());
154                 assertTrue(am.toSparse().isSparse());
155                 assertFalse(am.toSparse().isDense());
156 
157                 // EQUALS
158                 assertEquals(am, am);
159                 assertNotEquals(am, new Object());
160                 assertNotEquals(am, null);
161                 assertNotEquals(am, FloatMatrix.instantiate(
162                         FloatMatrixData.instantiate(testData, LengthUnit.METER.getScale(), storageType), LengthUnit.METER));
163                 assertNotEquals(am, am.divide(2.0f));
164 
165                 // MUTABLE
166                 assertFalse(am.isMutable());
167                 FloatAreaMatrix ammut = am.mutable();
168                 assertTrue(ammut.isMutable());
169                 assertFalse(am.isMutable());
170                 FloatAreaMatrix ammut2 = ammut.multiplyBy(1.0);
171                 assertEquals(am, ammut2);
172                 assertTrue(ammut.isMutable());
173                 assertFalse(am.isMutable());
174                 assertTrue(ammut2.isMutable());
175                 ammut2 = ammut2.mutable().divideBy(2.0);
176                 assertEquals(am, ammut);
177                 assertNotEquals(am, ammut2);
178                 FloatAreaMatrix ammut3 = ammut2.mutable().divideBy(0.0);
179                 for (int row = 0; row < ammut3.rows(); row++)
180                 {
181                     for (int col = 0; col < ammut3.cols(); col++)
182                     {
183                         if (ammut2.getSI(row, col) == 0)
184                         {
185                             assertTrue("Value should be NaN", Float.isNaN(ammut3.getSI(row, col)));
186 
187                         }
188                         else
189                         {
190                             assertTrue("Value should be Infinite", Float.isInfinite(ammut3.getSI(row, col)));
191                         }
192                     }
193                 }
194 
195                 // ZSUM and CARDINALITY
196                 FloatArea zSum = am.zSum();
197                 float sum = 0;
198                 int card = 0;
199                 for (int row = 0; row < testData.length; row++)
200                 {
201                     for (int col = 0; col < testData[0].length; col++)
202                     {
203                         sum += testData[row][col];
204                         card += testData[row][col] == 0.0f ? 0 : 1;
205                     }
206                 }
207                 assertEquals("zSum", sum, zSum.getInUnit(), 5f);
208                 assertEquals("cardinality", card, am.cardinality());
209                 FloatAreaMatrix ammutZero = ammut.multiplyBy(0.0f);
210                 assertEquals("cardinality should be 0", 0, ammutZero.cardinality());
211                 assertEquals("zSum should be 0", 0.0, ammutZero.zSum().getSI(), 0);
212 
213                 // INCREMENTBY(SCALAR) and DECREMENTBY(SCALAR)
214                 FloatAreaMatrix amold = am.clone();
215                 FloatArea fa = FloatArea.of(10.0f, "m^2");
216                 FloatAreaMatrix aminc = am.mutable().incrementBy(fa).immutable();
217                 FloatAreaMatrix amdec = am.mutable().decrementBy(fa).immutable();
218                 FloatAreaMatrix amid = aminc.mutable().decrementBy(fa);
219                 assertEquals("immutable matrix should not change when converted to mutable", am, amold);
220                 for (int row = 0; row < testData.length; row++)
221                 {
222                     for (int col = 0; col < testData[0].length; col++)
223                     {
224                         assertEquals("increment and decrement with scalar should result in same matrix", am.getSI(row, col),
225                                 amid.getSI(row, col), 5f);
226                         assertEquals("m + s = (m+s)", au.getScale().toStandardUnit(testData[row][col]) + 10.0,
227                                 aminc.getSI(row, col), 6f);
228                         assertEquals("m - s = (m-s)", au.getScale().toStandardUnit(testData[row][col]) - 10.0,
229                                 amdec.getSI(row, col), 6f);
230                     }
231                 }
232 
233                 // MULTIPLYBY() and DIVIDEBY(), TIMES(), DIVIDE()
234                 FloatAreaMatrix amt5 = am.mutable().multiplyBy(5.0f).immutable();
235                 FloatAreaMatrix amd5 = am.mutable().divideBy(5.0f).immutable();
236                 FloatAreaMatrix amtd = amt5.mutable().divideBy(5.0f);
237                 FloatAreaMatrix amtimD = am.times(5.0d);
238                 FloatAreaMatrix amtimF = am.times(5.0f);
239                 FloatAreaMatrix amdivD = am.divide(5.0d);
240                 FloatAreaMatrix amdivF = am.divide(5.0f);
241                 for (int row = 0; row < testData.length; row++)
242                 {
243                     for (int col = 0; col < testData[0].length; col++)
244                     {
245                         assertEquals("times followed by divide with constant should result in same matrix", am.getSI(row, col),
246                                 amtd.getSI(row, col), 0.5);
247                         assertEquals("m * 5.0 = (m*5.0)", au.getScale().toStandardUnit(testData[row][col]) * 5.0f,
248                                 amt5.getSI(row, col), 50f);
249                         assertEquals("m / 5.0 = (m/5.0)", au.getScale().toStandardUnit(testData[row][col]) / 5.0f,
250                                 amd5.getSI(row, col), 2f);
251                         assertEquals("amtimD", amt5.getSI(row, col), amtimD.getSI(row, col), 0.1f);
252                         assertEquals("amtimF", amt5.getSI(row, col), amtimF.getSI(row, col), 0.1f);
253                         assertEquals("amdivD", amd5.getSI(row, col), amdivD.getSI(row, col), 0.01f);
254                         assertEquals("amdivD", amd5.getSI(row, col), amdivF.getSI(row, col), 0.01f);
255                     }
256                 }
257 
258                 // GET(), GETINUNIT()
259                 assertEquals("get()", new FloatArea(testData[2][2], au), am.get(2, 2));
260                 assertEquals("getSI()", au.getScale().toStandardUnit(testData[2][2]), am.getSI(2, 2), 1f);
261                 assertEquals("getInUnit()", testData[2][2], am.getInUnit(2, 2), 0.1);
262                 assertEquals("getInUnit(unit)",
263                         AreaUnit.SQUARE_YARD.getScale().fromStandardUnit(au.getScale().toStandardUnit(testData[2][2])),
264                         am.getInUnit(2, 2, AreaUnit.SQUARE_YARD), 10f);
265 
266                 // SET(), SETINUNIT()
267                 FloatArea fasqft = new FloatArea(10.5f, AreaUnit.SQUARE_FOOT);
268                 FloatAreaMatrix famChange = am.clone().mutable();
269                 famChange.set(2, 2, fasqft);
270                 assertEquals("set()", fasqft.si, famChange.get(2, 2).si, 0.1f);
271                 famChange = am.clone().mutable();
272                 famChange.setSI(2, 2, 123.4f);
273                 assertEquals("setSI()", 123.4f, famChange.get(2, 2).si, 0.1f);
274                 famChange = am.clone().mutable();
275                 famChange.setInUnit(2, 2, 1.2f);
276                 assertEquals("setInUnit()", 1.2f, famChange.getInUnit(2, 2), 0.1f);
277                 famChange = am.clone().mutable();
278                 famChange.setInUnit(2, 2, 1.5f, AreaUnit.HECTARE);
279                 assertEquals("setInUnit(unit)", 15000.0f, famChange.get(2, 2).si, 1.0f);
280 
281                 // GETROW(), GETCOLUMN(), GETDIAGONAL
282                 float[][] squareData = storageType.equals(StorageType.DENSE) ? FLOATMATRIX.denseRectArrays(12, 12)
283                         : FLOATMATRIX.sparseRectArrays(12, 12);
284                 FloatAreaMatrix amSquare =
285                         FloatMatrix.instantiate(FloatMatrixData.instantiate(squareData, au.getScale(), storageType), au);
286                 float[] row2si = am.getRowSI(2);
287                 float[] col2si = am.getColumnSI(2);
288                 float[] diagsi = amSquare.getDiagonalSI();
289                 FloatAreaVector row2v = am.getRow(2);
290                 FloatAreaVector col2v = am.getColumn(2);
291                 FloatAreaVector diagv = amSquare.getDiagonal();
292                 FloatArea[] row2scalar = am.getRowScalars(2);
293                 FloatArea[] col2scalar = am.getColumnScalars(2);
294                 FloatArea[] diagscalar = amSquare.getDiagonalScalars();
295                 for (int col = 0; col < testData[0].length; col++)
296                 {
297                     assertEquals("row2si", au.getScale().toStandardUnit(testData[2][col]), row2si[col], 10f);
298                     assertEquals("row2v", au.getScale().toStandardUnit(testData[2][col]), row2v.getSI(col), 10f);
299                     assertEquals("row2scalar", au.getScale().toStandardUnit(testData[2][col]), row2scalar[col].si, 10f);
300                 }
301                 for (int row = 0; row < testData.length; row++)
302                 {
303                     assertEquals("col2si", au.getScale().toStandardUnit(testData[row][2]), col2si[row], 10f);
304                     assertEquals("col2v", au.getScale().toStandardUnit(testData[row][2]), col2v.getSI(row), 10f);
305                     assertEquals("col2scalar", au.getScale().toStandardUnit(testData[row][2]), col2scalar[row].si, 10f);
306                 }
307                 for (int diag = 0; diag < amSquare.rows(); diag++)
308                 {
309                     assertEquals("diag2si", au.getScale().toStandardUnit(squareData[diag][diag]), diagsi[diag], 0.1f);
310                     assertEquals("diag2v", au.getScale().toStandardUnit(squareData[diag][diag]), diagv.getSI(diag), 0.1f);
311                     assertEquals("diag2scalar", au.getScale().toStandardUnit(squareData[diag][diag]), diagscalar[diag].si,
312                             0.1f);
313                 }
314 
315                 // GETVALUES(), GETSCALARS()
316                 float[][] valsi = am.getValuesSI();
317                 float[][] valunit = am.getValuesInUnit();
318                 float[][] valsqft = am.getValuesInUnit(AreaUnit.SQUARE_YARD);
319                 FloatArea[][] valscalars = am.getScalars();
320                 for (int row = 0; row < testData.length; row++)
321                 {
322                     for (int col = 0; col < testData[0].length; col++)
323                     {
324                         assertEquals("getValuesSI()", au.getScale().toStandardUnit(testData[row][col]), valsi[row][col], 5f);
325                         assertEquals("getValuesInUnit()", testData[row][col], valunit[row][col], 0.1);
326                         assertEquals("getValuesInUnit(unit)", AreaUnit.SQUARE_YARD.getScale()
327                                 .fromStandardUnit(au.getScale().toStandardUnit(testData[row][col])), valsqft[row][col], 10f);
328                         assertEquals("getValuesInUnit(unit)", au.getScale().toStandardUnit(testData[row][col]),
329                                 valscalars[row][col].si, 5f);
330                     }
331                 }
332 
333                 // ASSIGN FUNCTION ABS, CEIL, FLOOR, NEG, RINT
334                 FloatAreaMatrix amdiv2 = am.divide(2.0f);
335                 assertEquals(am.getStorageType(), amdiv2.getStorageType());
336                 assertEquals(am.getDisplayUnit(), amdiv2.getDisplayUnit());
337                 FloatAreaMatrix amAbs = amdiv2.mutable().abs().immutable();
338                 assertEquals(am.getStorageType(), amAbs.getStorageType());
339                 assertEquals(am.getDisplayUnit(), amAbs.getDisplayUnit());
340                 FloatAreaMatrix amCeil = amdiv2.mutable().ceil().immutable();
341                 assertEquals(am.getStorageType(), amCeil.getStorageType());
342                 assertEquals(am.getDisplayUnit(), amCeil.getDisplayUnit());
343                 FloatAreaMatrix amFloor = amdiv2.mutable().floor().immutable();
344                 assertEquals(am.getStorageType(), amFloor.getStorageType());
345                 assertEquals(am.getDisplayUnit(), amFloor.getDisplayUnit());
346                 FloatAreaMatrix amNeg = amdiv2.mutable().neg().immutable();
347                 assertEquals(am.getStorageType(), amNeg.getStorageType());
348                 assertEquals(am.getDisplayUnit(), amNeg.getDisplayUnit());
349                 FloatAreaMatrix amRint = amdiv2.mutable().rint().immutable();
350                 assertEquals(am.getStorageType(), amRint.getStorageType());
351                 assertEquals(am.getDisplayUnit(), amRint.getDisplayUnit());
352                 for (int row = 0; row < testData.length; row++)
353                 {
354                     for (int col = 0; col < testData[0].length; col++)
355                     {
356                         // TODO: Should be rounded IN THE UNIT rather than BY SI VALUES
357                         assertEquals("div2", au.getScale().toStandardUnit(testData[row][col]) / 2.0f, amdiv2.getSI(row, col),
358                                 5f);
359                         assertEquals("abs", (float) Math.abs(au.getScale().toStandardUnit(testData[row][col]) / 2.0f),
360                                 amAbs.getSI(row, col), 0.1f);
361                         assertEquals("ceil", (float) Math.ceil(au.getScale().toStandardUnit(testData[row][col]) / 2.0f),
362                                 amCeil.getSI(row, col), 5f);
363                         assertEquals("floor", (float) Math.floor(au.getScale().toStandardUnit(testData[row][col]) / 2.0f),
364                                 amFloor.getSI(row, col), 5f);
365                         assertEquals("neg", -au.getScale().toStandardUnit(testData[row][col]) / 2.0f, amNeg.getSI(row, col),
366                                 5f);
367                         assertEquals("rint", (float) Math.rint(au.getScale().toStandardUnit(testData[row][col]) / 2.0f),
368                                 amRint.getSI(row, col), 5f);
369                     }
370                 }
371 
372                 float[][] testData4x4 =
373                         new float[][] { { 2, 3, 5, 7 }, { 11, 13, 17, 19 }, { 23, 29, 31, 37 }, { 41, 43, 47, 49 } };
374                 FloatAreaMatrix am4x4 =
375                         FloatMatrix.instantiate(FloatMatrixData.instantiate(testData4x4, au.getScale(), storageType), au);
376                 float det = am4x4.determinant();
377                 float detCalc = Determinant.det(am4x4.getValuesSI());
378                 float err = Math.max(det, detCalc) / 1000.0f;
379                 assertEquals("Determinant of square matrix with unit " + au.getDefaultTextualAbbreviation() + ", storage = "
380                         + storageType + " = " + det + " but should have been " + detCalc, detCalc, det, err);
381                 new Try()
382                 {
383                     @Override
384                     public void execute()
385                     {
386                         float detErr = am.determinant();
387                         System.out.println(detErr);
388                     }
389                 }.test("Determinant of non-square matrix should have thrown exception");
390 
391                 // TEST METHODS THAT INVOLVE TWO MATRIX INSTANCES
392 
393                 for (StorageType storageType2 : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
394                 {
395                     float[][] testData2 = storageType2.equals(StorageType.DENSE) ? denseTestData : reverseSparseTestData;
396                     for (AreaUnit au2 : new AreaUnit[] { AreaUnit.SQUARE_METER, AreaUnit.ACRE })
397                     {
398 
399                         // PLUS and INCREMENTBY(MATRIX)
400                         FloatAreaMatrix am2 = FloatMatrix
401                                 .instantiate(FloatMatrixData.instantiate(testData2, au2.getScale(), storageType2), au2);
402                         FloatAreaMatrix amSum1 = am.plus(am2);
403                         FloatAreaMatrix amSum2 = am2.plus(am);
404                         FloatAreaMatrix amSum3 = am.mutable().incrementBy(am2).immutable();
405                         FloatAreaMatrix amSum4 = am2.mutable().incrementBy(am).immutable();
406                         assertEquals("a+b == b+a", amSum1, amSum2);
407                         assertEquals("a+b == b+a", amSum1, amSum3);
408                         assertEquals("a+b == b+a", amSum1, amSum4);
409                         for (int row = 0; row < testData.length; row++)
410                         {
411                             for (int col = 0; col < testData[0].length; col++)
412                             {
413                                 float tolerance = Float.isFinite(amSum1.getSI(row, col))
414                                         ? Math.abs(amSum1.getSI(row, col) / 10000.0f) : 0.1f;
415                                 assertEquals("value in matrix matches",
416                                         au.getScale().toStandardUnit(testData[row][col])
417                                                 + au2.getScale().toStandardUnit(testData2[row][col]),
418                                         amSum1.getSI(row, col), tolerance);
419                             }
420                         }
421 
422                         // MINUS and DECREMENTBY(MATRIX)
423                         FloatAreaMatrix amDiff1 = am.minus(am2);
424                         FloatAreaMatrix amDiff2 = am2.minus(am).mutable().neg();
425                         FloatAreaMatrix amDiff3 = am.mutable().decrementBy(am2).immutable();
426                         assertEquals("a-b == -(b-a)", amDiff1, amDiff2);
427                         assertEquals("a-b == -(b-a)", amDiff1, amDiff3);
428                         for (int row = 0; row < testData.length; row++)
429                         {
430                             for (int col = 0; col < testData[0].length; col++)
431                             {
432                                 float tolerance = Float.isFinite(amDiff1.getSI(row, col))
433                                         ? Math.abs(amDiff1.getSI(row, col) / 10000.0f) : 0.1f;
434                                 assertEquals("value in matrix matches",
435                                         au.getScale().toStandardUnit(testData[row][col])
436                                                 - au2.getScale().toStandardUnit(testData2[row][col]),
437                                         amDiff1.getSI(row, col), tolerance);
438                             }
439                         }
440 
441                         // TIMES(MATRIX) and DIVIDE(MATRIX)
442                         FloatSIMatrix amTim = am.times(am2);
443                         FloatSIMatrix amDiv = am.divide(am2);
444                         assertEquals("unit of m2 * m2 should be m4", "m4",
445                                 amTim.getDisplayUnit().getQuantity().getSiDimensions().toString(false, false, false));
446                         assertEquals("unit of m2 / m2 should be 1", "1",
447                                 amDiv.getDisplayUnit().getQuantity().getSiDimensions().toString(false, false, false));
448                         for (int row = 0; row < testData.length; row++)
449                         {
450                             for (int col = 0; col < testData[0].length; col++)
451                             {
452                                 float tolerance = Float.isFinite(amTim.getSI(row, col))
453                                         ? Math.abs(amTim.getSI(row, col) / 10000.0f) : 0.1f;
454                                 assertEquals("value in m2 * m2 matches",
455                                         au.getScale().toStandardUnit(testData[row][col])
456                                                 * au2.getScale().toStandardUnit(testData2[row][col]),
457                                         amTim.getSI(row, col), tolerance);
458                                 tolerance = Float.isFinite(amTim.getSI(row, col)) ? Math.abs(amDiv.getSI(row, col) / 10000.0f)
459                                         : 0.1f;
460                                 assertEquals("value in m2 / m2 matches (could be NaN)",
461                                         au.getScale().toStandardUnit(testData[row][col])
462                                                 / au2.getScale().toStandardUnit(testData2[row][col]),
463                                         amDiv.getSI(row, col), tolerance);
464                             }
465                         }
466                     }
467                 }
468             }
469         }
470     }
471 
472     /**
473      * Test if mutable methods give an error in case the matrix is immutable.
474      */
475     @Test
476     public void testImmutableMatrix()
477     {
478         float[][] denseTestData = FLOATMATRIX.denseRectArrays(5, 10);
479         float[][] sparseTestData = FLOATMATRIX.sparseRectArrays(5, 10);
480 
481         for (StorageType storageType : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
482         {
483             for (AreaUnit au : new AreaUnit[] { AreaUnit.SQUARE_METER, AreaUnit.ACRE })
484             {
485                 float[][] testData = storageType.equals(StorageType.DENSE) ? denseTestData : sparseTestData;
486                 FloatAreaMatrix am =
487                         FloatMatrix.instantiate(FloatMatrixData.instantiate(testData, au.getScale(), storageType), au);
488                 am = am.immutable();
489                 final FloatAreaMatrix amPtr = am;
490                 FloatArea fa = FloatArea.of(10.0f, "m^2");
491                 new Try()
492                 {
493                     @Override
494                     public void execute()
495                     {
496                         amPtr.assign(FloatMathFunctions.ABS);
497                     }
498                 }.test("ImmutableMatrix.assign(...) should throw error");
499                 new Try()
500                 {
501                     @Override
502                     public void execute()
503                     {
504                         amPtr.decrementBy(fa);
505                     }
506                 }.test("ImmutableMatrix.decrementBy(scalar) should throw error");
507                 new Try()
508                 {
509                     @Override
510                     public void execute()
511                     {
512                         amPtr.decrementBy(amPtr);
513                     }
514                 }.test("ImmutableMatrix.decrementBy(matrix) should throw error");
515                 new Try()
516                 {
517                     @Override
518                     public void execute()
519                     {
520                         amPtr.incrementBy(fa);
521                     }
522                 }.test("ImmutableMatrix.incrementBy(scalar) should throw error");
523                 new Try()
524                 {
525                     @Override
526                     public void execute()
527                     {
528                         amPtr.incrementBy(amPtr);
529                     }
530                 }.test("ImmutableMatrix.incrementBy(matrix) should throw error");
531                 new Try()
532                 {
533                     @Override
534                     public void execute()
535                     {
536                         amPtr.divideBy(2.0f);
537                     }
538                 }.test("ImmutableMatrix.divideBy(factor) should throw error");
539                 new Try()
540                 {
541                     @Override
542                     public void execute()
543                     {
544                         amPtr.multiplyBy(2.0f);
545                     }
546                 }.test("ImmutableMatrix.multiplyBy(factor) should throw error");
547                 new Try()
548                 {
549                     @Override
550                     public void execute()
551                     {
552                         amPtr.set(1, 1, fa);
553                     }
554                 }.test("ImmutableMatrix.set() should throw error");
555                 new Try()
556                 {
557                     @Override
558                     public void execute()
559                     {
560                         amPtr.setSI(1, 1, 20.1f);
561                     }
562                 }.test("ImmutableMatrix.setSI() should throw error");
563                 new Try()
564                 {
565                     @Override
566                     public void execute()
567                     {
568                         amPtr.setInUnit(1, 1, 15.2f);
569                     }
570                 }.test("ImmutableMatrix.setInUnit(f) should throw error");
571                 new Try()
572                 {
573                     @Override
574                     public void execute()
575                     {
576                         amPtr.setInUnit(1, 1, 15.2f, AreaUnit.ARE);
577                     }
578                 }.test("ImmutableMatrix.setInUnit(f, u) should throw error");
579                 new Try()
580                 {
581                     @Override
582                     public void execute()
583                     {
584                         amPtr.abs();
585                     }
586                 }.test("ImmutableMatrix.abs() should throw error");
587                 new Try()
588                 {
589                     @Override
590                     public void execute()
591                     {
592                         amPtr.ceil();
593                     }
594                 }.test("ImmutableMatrix.ceil() should throw error");
595                 new Try()
596                 {
597                     @Override
598                     public void execute()
599                     {
600                         amPtr.floor();
601                     }
602                 }.test("ImmutableMatrix.floor() should throw error");
603                 new Try()
604                 {
605                     @Override
606                     public void execute()
607                     {
608                         amPtr.neg();
609                     }
610                 }.test("ImmutableMatrix.neg() should throw error");
611                 new Try()
612                 {
613                     @Override
614                     public void execute()
615                     {
616                         amPtr.rint();
617                     }
618                 }.test("ImmutableMatrix.rint() should throw error");
619             }
620         }
621     }
622 
623     /**
624      * Test toString() methods. TODO: expand?
625      */
626     @Test
627     public void testMatrixToString()
628     {
629         float[][] denseTestData = FLOATMATRIX.denseRectArrays(5, 10);
630         float[][] sparseTestData = FLOATMATRIX.sparseRectArrays(5, 10);
631 
632         for (StorageType storageType : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
633         {
634             for (AreaUnit au : new AreaUnit[] { AreaUnit.SQUARE_METER, AreaUnit.ACRE })
635             {
636                 float[][] testData = storageType.equals(StorageType.DENSE) ? denseTestData : sparseTestData;
637                 FloatAreaMatrix am =
638                         FloatMatrix.instantiate(FloatMatrixData.instantiate(testData, au.getScale(), storageType), au);
639                 String s1 = am.toString(); // non-verbose with unit
640                 assertTrue(s1.contains(au.getDefaultTextualAbbreviation()));
641                 String s2 = am.toString(AreaUnit.SQUARE_INCH); // non-verbose with unit
642                 assertTrue(s2.contains(AreaUnit.SQUARE_INCH.getDefaultTextualAbbreviation()));
643                 String s3 = am.toString(AreaUnit.SQUARE_INCH, true, true); // verbose with unit
644                 assertTrue(s3.contains(AreaUnit.SQUARE_INCH.getDefaultTextualAbbreviation()));
645                 if (storageType.equals(StorageType.DENSE))
646                 {
647                     assertTrue(s3.contains("Dense"));
648                     assertFalse(s3.contains("Sparse"));
649                 }
650                 else
651                 {
652                     assertFalse(s3.contains("Dense"));
653                     assertTrue(s3.contains("Sparse"));
654                 }
655                 assertTrue(s3.contains("Rel"));
656                 assertFalse(s3.contains("Abs"));
657                 assertTrue(s3.contains("Immutable"));
658                 assertFalse(s3.contains("Mutable"));
659                 FloatAreaMatrix ammut = am.mutable();
660                 String smut = ammut.toString(AreaUnit.SQUARE_INCH, true, true); // verbose with unit
661                 assertFalse(smut.contains("Immutable"));
662                 assertTrue(smut.contains("Mutable"));
663                 String sNotVerbose = ammut.toString(false, false);
664                 assertFalse(sNotVerbose.contains("Rel"));
665                 assertFalse(sNotVerbose.contains("Abs"));
666                 assertFalse(sNotVerbose.contains("Immutable"));
667                 assertFalse(sNotVerbose.contains("Mutable"));
668                 assertFalse(sNotVerbose.contains(au.getDefaultTextualAbbreviation()));
669             }
670         }
671         FloatTimeMatrix tm = FloatMatrix.instantiate(
672                 FloatMatrixData.instantiate(denseTestData, TimeUnit.DEFAULT.getScale(), StorageType.DENSE), TimeUnit.DEFAULT);
673         String st = tm.toString(TimeUnit.DEFAULT, true, true); // verbose with unit
674         assertFalse(st.contains("Rel"));
675         assertTrue(st.contains("Abs"));
676         FloatLengthMatrix lm = FloatMatrix.instantiate(
677                 FloatMatrixData.instantiate(denseTestData, LengthUnit.SI.getScale(), StorageType.DENSE), LengthUnit.SI);
678         String sl = lm.toString(LengthUnit.SI, true, true); // verbose with unit
679         assertTrue(sl.contains("Rel"));
680         assertFalse(sl.contains("Abs"));
681     }
682 
683     /**
684      * Test the extra methods that Absolute and Relative with Absolute matrices implement.
685      */
686     @Test
687     public void testSpecialMatrixMethodsRelWithAbs()
688     {
689         float[][] denseTestData = FLOATMATRIX.denseRectArrays(5, 10);
690         FloatTimeMatrix tm = FloatMatrix.instantiate(
691                 FloatMatrixData.instantiate(denseTestData, TimeUnit.DEFAULT.getScale(), StorageType.DENSE), TimeUnit.DEFAULT);
692         FloatDurationMatrix dm = FloatMatrix.instantiate(
693                 FloatMatrixData.instantiate(denseTestData, DurationUnit.MINUTE.getScale(), StorageType.DENSE),
694                 DurationUnit.SECOND);
695         assertTrue(tm.isAbsolute());
696         assertFalse(dm.isAbsolute());
697         assertFalse(tm.isRelative());
698         assertTrue(dm.isRelative());
699 
700         FloatTimeMatrix absPlusRel = tm.plus(dm);
701         FloatTimeMatrix absMinusRel = tm.minus(dm);
702         float[][] halfDenseData = FLOATMATRIX.denseRectArrays(5, 10);
703         for (int row = 0; row < halfDenseData.length; row++)
704         {
705             for (int col = 0; col < halfDenseData[row].length; col++)
706             {
707                 halfDenseData[row][col] *= 0.5;
708             }
709         }
710         FloatTimeMatrix halfTimeMatrix = FloatMatrix.instantiate(
711                 FloatMatrixData.instantiate(halfDenseData, TimeUnit.DEFAULT.getScale(), StorageType.DENSE), TimeUnit.DEFAULT);
712         FloatDurationMatrix absMinusAbs = tm.minus(halfTimeMatrix);
713         FloatTimeMatrix absDecByRelS = tm.mutable().decrementBy(FloatDuration.of(1.0f, "min"));
714         FloatTimeMatrix absDecByRelM = tm.mutable().decrementBy(dm.divide(2.0f));
715         FloatTimeMatrix relPlusAbs = dm.plus(tm);
716         for (int row = 0; row < denseTestData.length; row++)
717         {
718             for (int col = 0; col < denseTestData[0].length; col++)
719             {
720                 assertEquals("absPlusRel", 61.0 * denseTestData[row][col], absPlusRel.getSI(row, col), 0.01);
721                 assertEquals("absMinusRel", -59.0 * denseTestData[row][col], absMinusRel.getSI(row, col), 0.01);
722                 assertEquals("absMinusAbs", denseTestData[row][col] / 2.0, absMinusAbs.getSI(row, col), 0.01);
723                 assertEquals("absDecByRelS", denseTestData[row][col] - 60.0, absDecByRelS.getSI(row, col), 0.01);
724                 assertEquals("absDecByRelM", -29.0 * denseTestData[row][col], absDecByRelM.getSI(row, col), 0.01);
725                 assertEquals("relPlusAbs", 61.0 * denseTestData[row][col], relPlusAbs.getSI(row, col), 0.01);
726             }
727         }
728         for (int dRows : new int[] { -1, 0, 1 })
729         {
730             for (int dCols : new int[] { -1, 0, 1 })
731             {
732                 if (dRows == 0 && dCols == 0)
733                 {
734                     continue;
735                 }
736                 float[][] other = FLOATMATRIX.denseRectArrays(denseTestData.length + dRows, denseTestData[0].length + dCols);
737                 FloatTimeMatrix wrongTimeMatrix = FloatMatrix.instantiate(
738                         FloatMatrixData.instantiate(other, TimeUnit.DEFAULT.getScale(), StorageType.DENSE), TimeUnit.DEFAULT);
739                 try
740                 {
741                     tm.mutable().minus(wrongTimeMatrix);
742                     fail("Mismatching size should have thrown a ValueRuntimeException");
743                 }
744                 catch (ValueRuntimeException vre)
745                 {
746                     // Ignore expected exception
747                 }
748             }
749         }
750         assertTrue("toString returns something informative",
751                 FloatMatrixData.instantiate(denseTestData, TimeUnit.DEFAULT.getScale(), StorageType.DENSE).toString()
752                         .startsWith("FloatMatrixData"));
753     }
754 
755     /**
756      * Execute a mats++-like memory test on a sparse matrix. See
757      * <a href="http://www.eng.auburn.edu/~agrawvd/COURSE/E7250_05/REPORTS_TERM/Raghuraman_Mem.doc">Memory Test</a>.
758      */
759     @Test
760     public void memoryTest()
761     {
762         AreaMatrix am = DoubleMatrix.instantiate(new double[5][10], AreaUnit.SI, StorageType.SPARSE);
763         am = am.mutable();
764         double nonZeroValue = 123.456;
765         // Initially the array is filled with zero values; we can skip the initialization phase
766         for (int compoundIndex = 0; compoundIndex < am.cols() * am.rows(); compoundIndex++)
767         {
768             // Let the row count fastest
769             int row = compoundIndex % am.rows();
770             int col = compoundIndex / am.rows();
771             assertEquals("initial value is 0", 0d, am.getSI(row, col), 0.0001);
772             am.setSI(row, col, nonZeroValue);
773             assertEquals("current value is nonZero", nonZeroValue, am.getSI(row, col), 0.0001);
774         }
775         for (int compoundIndex = am.cols() * am.rows(); --compoundIndex >= 0;)
776         {
777             // Let the row count fastest
778             int row = compoundIndex % am.rows();
779             int col = compoundIndex / am.rows();
780             assertEquals("current value is nonZero", nonZeroValue, am.getSI(row, col), 0.0001);
781             am.setSI(row, col, 0d);
782             assertEquals("final value is 0", 0d, am.getSI(row, col), 0.0001);
783         }
784     }
785 
786     /**
787      * Test the instantiateAbs method and instantiateScalarAbsSI method.
788      */
789     @Test
790     public void testInstantiateAbs()
791     {
792         float[][] denseTestData = FLOATMATRIX.denseRectArrays(10, 20);
793         FloatTimeMatrix timeMatrix = FloatMatrix.instantiate(
794                 FloatMatrixData.instantiate(denseTestData, TimeUnit.DEFAULT.getScale(), StorageType.DENSE), TimeUnit.DEFAULT);
795         FloatDurationMatrix durationMatrix = FloatMatrix.instantiate(
796                 FloatMatrixData.instantiate(denseTestData, DurationUnit.MINUTE.getScale(), StorageType.DENSE),
797                 DurationUnit.SECOND);
798 
799         float[] halfDenseData = FLOATVECTOR.denseArray(105);
800         for (int index = 0; index < halfDenseData.length; index++)
801         {
802             halfDenseData[index] *= 0.5;
803         }
804         FloatTimeMatrix relPlusAbsTime = durationMatrix.plus(timeMatrix);
805         for (int row = 0; row < denseTestData.length; row++)
806         {
807             for (int col = 0; col < denseTestData[0].length; col++)
808             {
809                 assertEquals("relPlusAbsTime", 61.0 * denseTestData[row][col], relPlusAbsTime.getSI(row, col), 0.01);
810             }
811         }
812         FloatTime floatTime = durationMatrix.instantiateScalarAbsSI(123.456f, TimeUnit.EPOCH_DAY);
813         assertEquals("Unit of instantiateScalarAbsSI matches", TimeUnit.EPOCH_DAY, floatTime.getDisplayUnit());
814         assertEquals("Value of instantiateScalarAbsSI matches", 123.456f, floatTime.si, 0.1);
815 
816         FloatAngleMatrix angleMatrix = FloatMatrix.instantiate(
817                 FloatMatrixData.instantiate(denseTestData, AngleUnit.DEGREE.getScale(), StorageType.DENSE), AngleUnit.DEGREE);
818         FloatDirectionMatrix directionMatrix = FloatMatrix.instantiate(
819                 FloatMatrixData.instantiate(denseTestData, DirectionUnit.EAST_DEGREE.getScale(), StorageType.DENSE),
820                 DirectionUnit.EAST_DEGREE);
821 
822         FloatDirectionMatrix relPlusAbsDirection = angleMatrix.plus(directionMatrix);
823         for (int row = 0; row < denseTestData.length; row++)
824         {
825             for (int col = 0; col < denseTestData[0].length; col++)
826             {
827                 assertEquals("relPlusAbsTime", 2.0 / 180 * Math.PI * denseTestData[row][col],
828                         relPlusAbsDirection.getSI(row, col), 0.01);
829             }
830         }
831         FloatDirection floatDirection = angleMatrix.instantiateScalarAbsSI(123.456f, DirectionUnit.NORTH_RADIAN);
832         assertEquals("Unit of instantiateScalarAbsSI matches", DirectionUnit.NORTH_RADIAN, floatDirection.getDisplayUnit());
833         assertEquals("Value of instantiateScalarAbsSI matches", 123.456f, floatDirection.si, 0.1);
834 
835         FloatTemperatureMatrix temperatureMatrix = FloatMatrix.instantiate(
836                 FloatMatrixData.instantiate(denseTestData, TemperatureUnit.DEGREE_FAHRENHEIT.getScale(), StorageType.DENSE),
837                 TemperatureUnit.DEGREE_FAHRENHEIT);
838         FloatAbsoluteTemperatureMatrix absoluteTemperatureMatrix = FloatMatrix.instantiate(
839                 FloatMatrixData.instantiate(denseTestData, AbsoluteTemperatureUnit.KELVIN.getScale(), StorageType.DENSE),
840                 AbsoluteTemperatureUnit.KELVIN);
841 
842         FloatAbsoluteTemperatureMatrix relPlusAbsTemperature = temperatureMatrix.plus(absoluteTemperatureMatrix);
843         for (int row = 0; row < denseTestData.length; row++)
844         {
845             for (int col = 0; col < denseTestData[0].length; col++)
846             {
847                 assertEquals("relPlusAbsTime", (1.0 + 5.0 / 9.0) * denseTestData[row][col],
848                         relPlusAbsTemperature.getSI(row, col), 0.01);
849             }
850         }
851         FloatAbsoluteTemperature floatAbsoluteTemperature =
852                 temperatureMatrix.instantiateScalarAbsSI(123.456f, AbsoluteTemperatureUnit.DEGREE_FAHRENHEIT);
853         assertEquals("Unit of instantiateScalarAbsSI matches", AbsoluteTemperatureUnit.DEGREE_FAHRENHEIT,
854                 floatAbsoluteTemperature.getDisplayUnit());
855         assertEquals("Value of instantiateScalarAbsSI matches", 123.456f, floatAbsoluteTemperature.si, 0.1);
856 
857         FloatLengthMatrix lengthMatrix = FloatMatrix.instantiate(
858                 FloatMatrixData.instantiate(denseTestData, LengthUnit.MILE.getScale(), StorageType.DENSE), LengthUnit.MILE);
859         FloatPositionMatrix positionMatrix = FloatMatrix.instantiate(
860                 FloatMatrixData.instantiate(denseTestData, PositionUnit.KILOMETER.getScale(), StorageType.DENSE),
861                 PositionUnit.KILOMETER);
862 
863         FloatPositionMatrix relPlusAbsPosition = lengthMatrix.plus(positionMatrix);
864         for (int row = 0; row < denseTestData.length; row++)
865         {
866             for (int col = 0; col < denseTestData[0].length; col++)
867             {
868                 assertEquals("relPlusAbsTime", 2609.344 * denseTestData[row][col], relPlusAbsPosition.getSI(row, col), 0.1);
869             }
870         }
871         FloatPosition floatPosition = lengthMatrix.instantiateScalarAbsSI(123.456f, PositionUnit.ANGSTROM);
872         assertEquals("Unit of instantiateScalarAbsSI matches", PositionUnit.ANGSTROM, floatPosition.getDisplayUnit());
873         assertEquals("Value of instantiateScalarAbsSI matches", 123.456f, floatPosition.si, 0.1);
874     }
875 
876     /**
877      * Test the <code>as</code> method of the FloatSIMatrix class.
878      * @throws SecurityException on error
879      * @throws NoSuchMethodException on error
880      * @throws InvocationTargetException on error
881      * @throws IllegalArgumentException on error
882      * @throws IllegalAccessException on error
883      * @throws ClassNotFoundException on error
884      * @throws UnitException on error
885      * @param <U> the unit type
886      */
887     @SuppressWarnings("unchecked")
888     @Test
889     public <U extends Unit<U>> void testAsUnit() throws ClassNotFoundException, NoSuchMethodException, SecurityException,
890             IllegalAccessException, IllegalArgumentException, InvocationTargetException, UnitException
891     {
892         float[][] testValues = FLOATMATRIX.denseRectArrays(10, 20);
893         for (StorageType storageType : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
894         {
895             for (String type : CLASSNAMES.REL_LIST)
896             {
897                 Class.forName("org.djunits.unit." + type + "Unit");
898                 Quantity<U> quantity = (Quantity<U>) Quantities.INSTANCE.getQuantity(type + "Unit");
899                 for (U unit : quantity.getUnitsById().values())
900                 {
901                     for (StorageType storageType2 : new StorageType[] { StorageType.DENSE, storageType })
902                     {
903                         SIUnit siUnit = SIUnit.of(unit.getQuantity().getSiDimensions());
904                         FloatSIMatrix matrix = FloatSIMatrix.instantiate(testValues, siUnit, storageType2);
905                         Method asMethod = FloatSIMatrix.class.getDeclaredMethod("as", Unit.class);
906                         AbstractFloatMatrixRel<U, ?, ?, ?> asMatrix =
907                                 (AbstractFloatMatrixRel<U, ?, ?, ?>) asMethod.invoke(matrix, siUnit);
908                         assertEquals(matrix.getDisplayUnit().getStandardUnit(), asMatrix.getDisplayUnit());
909                         siUnit = SIUnit.of(AbsoluteTemperatureUnit.KELVIN.getQuantity().getSiDimensions());
910                         for (int row = 0; row < testValues.length; row++)
911                         {
912                             for (int col = 0; col < testValues[0].length; col++)
913                             {
914                                 assertEquals("Values should match", testValues[row][col], matrix.getInUnit(row, col), 0.001);
915                             }
916                         }
917                         try
918                         {
919                             asMethod.invoke(matrix, siUnit);
920                             fail("as method should not be able to cast to unrelated (absoluteTemperature) unit");
921                         }
922                         catch (InvocationTargetException ite)
923                         {
924                             Throwable cause = ite.getCause();
925                             assertEquals("cause is UnitRuntimeException", UnitRuntimeException.class, cause.getClass());
926                             // Otherwise ignore expected exception
927                         }
928                     }
929                 }
930             }
931         }
932     }
933 
934     /**
935      * Test the equals method.
936      */
937     @SuppressWarnings("unlikely-arg-type")
938     @Test
939     public void testEquals()
940     {
941         float[][] testData = FLOATMATRIX.denseRectArrays(12, 34);
942         testData[2][2] = 0;
943         for (StorageType storageType : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
944         {
945             FloatMatrixData fmd = FloatMatrixData.instantiate(testData, TemperatureUnit.KELVIN.getScale(), storageType);
946             assertTrue("Float matrix is equal to itself", fmd.equals(fmd));
947             assertFalse("Float matrix is not equal to null", fmd.equals(null));
948             assertFalse("Float matrix data is not equal to some string", fmd.equals("some string"));
949             assertTrue("Float matrix is equal to sparse version of itself", fmd.equals(fmd.toSparse()));
950             assertTrue("Float matrix is equal to dense version of itself", fmd.equals(fmd.toDense()));
951             for (StorageType storageType2 : new StorageType[] { StorageType.DENSE, StorageType.SPARSE })
952             {
953                 FloatMatrixData dvd2 = FloatMatrixData.instantiate(testData, TemperatureUnit.KELVIN.getScale(), storageType2);
954                 assertEquals(
955                         "Float matrix data is equal to other double vector containing same values regardless of storage type",
956                         fmd, dvd2);
957                 float[][] testData2 = FLOATMATRIX.denseRectArrays(12, 33);
958                 testData2[2][2] = 0;
959                 dvd2 = FloatMatrixData.instantiate(testData2, TemperatureUnit.KELVIN.getScale(), storageType2);
960                 assertFalse("Float matrix data is not equal to other double vector containing same values except last one",
961                         fmd.equals(dvd2));
962                 testData2 = FLOATMATRIX.denseRectArrays(13, 34);
963                 testData2[2][2] = 0;
964                 dvd2 = FloatMatrixData.instantiate(testData2, TemperatureUnit.KELVIN.getScale(), storageType2);
965                 assertFalse("Float matrix data is not equal to other double vector containing same values except last one",
966                         fmd.equals(dvd2));
967                 testData2 = FLOATMATRIX.denseRectArrays(12, 34);
968                 dvd2 = FloatMatrixData.instantiate(testData2, TemperatureUnit.KELVIN.getScale(), storageType2);
969                 assertFalse("Float matrix data is not equal to other double vector containing same values except for one zero",
970                         fmd.equals(dvd2));
971             }
972         }
973     }
974 
975     /**
976      * Test the sparse value class.
977      */
978     @SuppressWarnings({ "rawtypes", "unchecked" })
979     @Test
980     public void sparseValueTest()
981     {
982         try
983         {
984             new FloatSparseValue(-1, 0, 123.456f);
985             fail("Negative row should have caused a ValueRuntimeException");
986         }
987         catch (ValueRuntimeException vre)
988         {
989             // Ignore expected exception
990         }
991 
992         try
993         {
994             new FloatSparseValue(0, -1, 123.456f);
995             fail("Negative column should have caused a ValueRuntimeException");
996         }
997         catch (ValueRuntimeException vre)
998         {
999             // Ignore expected exception
1000         }
1001 
1002         FloatLength length = FloatLength.valueOf("123 km");
1003         FloatSparseValue dsv = new FloatSparseValue(2, 3, length);
1004         assertEquals("row matches", 2, dsv.getRow());
1005         assertEquals("column matches", 3, dsv.getColumn());
1006         assertEquals("value matches", 123000, dsv.getValueSI(), 0.1);
1007         dsv = new FloatSparseValue(2, 3, 123.000f, LengthUnit.KILOMETER);
1008         assertEquals("row matches", 2, dsv.getRow());
1009         assertEquals("column matches", 3, dsv.getColumn());
1010         assertEquals("value matches", 123000, dsv.getValueSI(), 0.1);
1011     }
1012 
1013 }