1   /*
2    * Licensed to the Apache Software Foundation (ASF) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * The ASF licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    * 
9    *      http://www.apache.org/licenses/LICENSE-2.0
10   * 
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  package org.apache.commons.math.linear;
18  
19  import java.io.Serializable;
20  
21  import junit.framework.Test;
22  import junit.framework.TestCase;
23  import junit.framework.TestSuite;
24  
25  import org.apache.commons.math.TestUtils;
26  
27  /**
28   * Test cases for the {@link OpenMapRealVector} class.
29   *
30   * @version $Revision: 799857 $ $Date: 2009-08-01 09:07:12 -0400 (Sat, 01 Aug 2009) $
31   */
32  public class SparseRealVectorTest extends TestCase {
33  
34      // 
35      protected double[][] ma1 = {{1d, 2d, 3d}, {4d, 5d, 6d}, {7d, 8d, 9d}};
36      protected double[] vec1 = {1d, 2d, 3d};
37      protected double[] vec2 = {4d, 5d, 6d};
38      protected double[] vec3 = {7d, 8d, 9d};
39      protected double[] vec4 = {1d, 2d, 3d, 4d, 5d, 6d, 7d, 8d, 9d};
40      protected double[] vec_null = {0d, 0d, 0d};
41      protected Double[] dvec1 = {1d, 2d, 3d, 4d, 5d, 6d, 7d, 8d, 9d};
42      protected double[][] mat1 = {{1d, 2d, 3d}, {4d, 5d, 6d},{ 7d, 8d, 9d}};
43  
44      // tolerances
45      protected double entryTolerance = 10E-16;
46      protected double normTolerance = 10E-14;
47  
48      // Testclass to test the RealVector interface 
49      // only with enough content to support the test
50      public static class SparseRealVectorTestImpl implements RealVector, Serializable {
51  
52          /** Serializable version identifier. */
53          private static final long serialVersionUID = 4715341047369582908L;
54  
55          /** Entries of the vector. */
56          protected double data[];
57  
58          public SparseRealVectorTestImpl(double[] d) {
59              data = d.clone();
60          }
61  
62          private UnsupportedOperationException unsupported() {
63              return new UnsupportedOperationException("Not supported, unneeded for test purposes");
64          }
65  
66          public RealVector copy() {
67              throw unsupported();
68          }
69  
70          public RealVector add(RealVector v) throws IllegalArgumentException {
71              throw unsupported();
72          }
73  
74          public RealVector add(double[] v) throws IllegalArgumentException {
75              throw unsupported();
76          }
77  
78          public RealVector subtract(RealVector v) throws IllegalArgumentException {
79              throw unsupported();
80          }
81  
82          public RealVector subtract(double[] v) throws IllegalArgumentException {
83              throw unsupported();
84          }
85  
86          public RealVector mapAdd(double d) {
87              throw unsupported();
88          }
89  
90          public RealVector mapAddToSelf(double d) {
91              throw unsupported();
92          }
93  
94          public RealVector mapSubtract(double d) {
95              throw unsupported();
96          }
97  
98          public RealVector mapSubtractToSelf(double d) {
99              throw unsupported();
100         }
101 
102         public RealVector mapMultiply(double d) {
103             double[] out = new double[data.length];
104             for (int i = 0; i < data.length; i++) {
105                 out[i] = data[i] * d;
106             }
107             return new OpenMapRealVector(out);
108         }
109 
110         public RealVector mapMultiplyToSelf(double d) {
111             throw unsupported();
112         }
113 
114         public RealVector mapDivide(double d) {
115             throw unsupported();
116         }
117 
118         public RealVector mapDivideToSelf(double d) {
119             throw unsupported();
120         }
121 
122         public RealVector mapPow(double d) {
123             throw unsupported();
124         }
125 
126         public RealVector mapPowToSelf(double d) {
127             throw unsupported();
128         }
129 
130         public RealVector mapExp() {
131             throw unsupported();
132         }
133 
134         public RealVector mapExpToSelf() {
135             throw unsupported();
136         }
137 
138         public RealVector mapExpm1() {
139             throw unsupported();
140         }
141 
142         public RealVector mapExpm1ToSelf() {
143             throw unsupported();
144         }
145 
146         public RealVector mapLog() {
147             throw unsupported();
148         }
149 
150         public RealVector mapLogToSelf() {
151             throw unsupported();
152         }
153 
154         public RealVector mapLog10() {
155             throw unsupported();
156         }
157 
158         public RealVector mapLog10ToSelf() {
159             throw unsupported();
160         }
161 
162         public RealVector mapLog1p() {
163             throw unsupported();
164         }
165 
166         public RealVector mapLog1pToSelf() {
167             throw unsupported();
168         }
169 
170         public RealVector mapCosh() {
171             throw unsupported();
172         }
173 
174         public RealVector mapCoshToSelf() {
175             throw unsupported();
176         }
177 
178         public RealVector mapSinh() {
179             throw unsupported();
180         }
181 
182         public RealVector mapSinhToSelf() {
183             throw unsupported();
184         }
185 
186         public RealVector mapTanh() {
187             throw unsupported();
188         }
189 
190         public RealVector mapTanhToSelf() {
191             throw unsupported();
192         }
193 
194         public RealVector mapCos() {
195             throw unsupported();
196         }
197 
198         public RealVector mapCosToSelf() {
199             throw unsupported();
200         }
201 
202         public RealVector mapSin() {
203             throw unsupported();
204         }
205 
206         public RealVector mapSinToSelf() {
207             throw unsupported();
208         }
209 
210         public RealVector mapTan() {
211             throw unsupported();
212         }
213 
214         public RealVector mapTanToSelf() {
215             throw unsupported();
216         }
217 
218         public RealVector mapAcos() {
219             throw unsupported();
220         }
221 
222         public RealVector mapAcosToSelf() {
223             throw unsupported();
224         }
225 
226         public RealVector mapAsin() {
227             throw unsupported();
228         }
229 
230         public RealVector mapAsinToSelf() {
231             throw unsupported();
232         }
233 
234         public RealVector mapAtan() {
235             throw unsupported();
236         }
237 
238         public RealVector mapAtanToSelf() {
239             throw unsupported();
240         }
241 
242         public RealVector mapInv() {
243             throw unsupported();
244         }
245 
246         public RealVector mapInvToSelf() {
247             throw unsupported();
248         }
249 
250         public RealVector mapAbs() {
251             throw unsupported();
252         }
253 
254         public RealVector mapAbsToSelf() {
255             throw unsupported();
256         }
257 
258         public RealVector mapSqrt() {
259             throw unsupported();
260         }
261 
262         public RealVector mapSqrtToSelf() {
263             throw unsupported();
264         }
265 
266         public RealVector mapCbrt() {
267             throw unsupported();
268         }
269 
270         public RealVector mapCbrtToSelf() {
271             throw unsupported();
272         }
273 
274         public RealVector mapCeil() {
275             throw unsupported();
276         }
277 
278         public RealVector mapCeilToSelf() {
279             throw unsupported();
280         }
281 
282         public RealVector mapFloor() {
283             throw unsupported();
284         }
285 
286         public RealVector mapFloorToSelf() {
287             throw unsupported();
288         }
289 
290         public RealVector mapRint() {
291             throw unsupported();
292         }
293 
294         public RealVector mapRintToSelf() {
295             throw unsupported();
296         }
297 
298         public RealVector mapSignum() {
299             throw unsupported();
300         }
301 
302         public RealVector mapSignumToSelf() {
303             throw unsupported();
304         }
305 
306         public RealVector mapUlp() {
307             throw unsupported();
308         }
309 
310         public RealVector mapUlpToSelf() {
311             throw unsupported();
312         }
313 
314         public RealVector ebeMultiply(RealVector v) throws IllegalArgumentException {
315             throw unsupported();
316         }
317 
318         public RealVector ebeMultiply(double[] v) throws IllegalArgumentException {
319             throw unsupported();
320         }
321 
322         public RealVector ebeDivide(RealVector v) throws IllegalArgumentException {
323             throw unsupported();
324         }
325 
326         public RealVector ebeDivide(double[] v) throws IllegalArgumentException {
327             throw unsupported();
328         }
329 
330         public double[] getData() {
331             return data.clone();
332         }
333 
334         public double dotProduct(RealVector v) throws IllegalArgumentException {
335             double dot = 0;
336             for (int i = 0; i < data.length; i++) {
337                 dot += data[i] * v.getEntry(i);
338             }
339             return dot;
340         }
341 
342         public double dotProduct(double[] v) throws IllegalArgumentException {
343             double dot = 0;
344             for (int i = 0; i < data.length; i++) {
345                 dot += data[i] * v[i];
346             }
347             return dot;
348         }
349 
350         public double getNorm() {
351             throw unsupported();
352         }
353 
354         public double getL1Norm() {
355             throw unsupported();
356         }
357 
358         public double getLInfNorm() {
359             throw unsupported();
360         }
361 
362         public double getDistance(RealVector v) throws IllegalArgumentException {
363             throw unsupported();
364         }
365 
366         public double getDistance(double[] v) throws IllegalArgumentException {
367             throw unsupported();
368         }
369 
370         public double getL1Distance(RealVector v) throws IllegalArgumentException {
371             throw unsupported();
372         }
373 
374         public double getL1Distance(double[] v) throws IllegalArgumentException {
375             throw unsupported();
376         }
377 
378         public double getLInfDistance(RealVector v) throws IllegalArgumentException {
379             throw unsupported();
380         }
381 
382         public double getLInfDistance(double[] v) throws IllegalArgumentException {
383             throw unsupported();
384         }
385 
386         public RealVector unitVector() {
387             throw unsupported();
388         }
389 
390         public void unitize() {
391             throw unsupported();
392         }
393 
394         public RealVector projection(RealVector v) throws IllegalArgumentException {
395             throw unsupported();
396         }
397 
398         public RealVector projection(double[] v) throws IllegalArgumentException {
399             throw unsupported();
400         }
401 
402         public RealMatrix outerProduct(RealVector v) throws IllegalArgumentException {
403             throw unsupported();
404         }
405 
406         public RealMatrix outerProduct(double[] v) throws IllegalArgumentException {
407             throw unsupported();
408         }
409 
410         public double getEntry(int index) throws MatrixIndexException {
411             return data[index];
412         }
413 
414         public int getDimension() {
415             return data.length;
416         }
417 
418         public RealVector append(RealVector v) {
419             throw unsupported();
420         }
421 
422         public RealVector append(double d) {
423             throw unsupported();
424         }
425 
426         public RealVector append(double[] a) {
427             throw unsupported();
428         }
429 
430         public RealVector getSubVector(int index, int n) throws MatrixIndexException {
431             throw unsupported();
432         }
433 
434         public void setEntry(int index, double value) throws MatrixIndexException {
435             throw unsupported();
436         }
437 
438         public void setSubVector(int index, RealVector v) throws MatrixIndexException {
439             throw unsupported();
440         }
441 
442         public void setSubVector(int index, double[] v) throws MatrixIndexException {
443             throw unsupported();
444         }
445 
446         public void set(double value) {
447             throw unsupported();
448         }
449 
450         public double[] toArray() {
451             throw unsupported();
452         }
453 
454         public boolean isNaN() {
455             throw unsupported();
456         }
457 
458         public boolean isInfinite() {
459             throw unsupported();
460         }
461 
462     }
463 
464     public static Test suite() {
465         TestSuite suite = new TestSuite(SparseRealVectorTest.class);
466         suite.setName("SparseRealVector Tests");
467         return suite;
468     }
469 
470     public void testConstructors() {
471 
472         OpenMapRealVector v0 = new OpenMapRealVector();
473         assertEquals("testData len", 0, v0.getDimension());
474 
475         OpenMapRealVector v1 = new OpenMapRealVector(7);
476         assertEquals("testData len", 7, v1.getDimension());
477         assertEquals("testData is 0.0 ", 0.0, v1.getEntry(6));
478 
479         OpenMapRealVector v3 = new OpenMapRealVector(vec1);
480         assertEquals("testData len", 3, v3.getDimension());
481         assertEquals("testData is 2.0 ", 2.0, v3.getEntry(1));
482 
483         //SparseRealVector v4 = new SparseRealVector(vec4, 3, 2);
484         //assertEquals("testData len", 2, v4.getDimension());
485         //assertEquals("testData is 4.0 ", 4.0, v4.getEntry(0));
486         //try {
487         //    new SparseRealVector(vec4, 8, 3);
488         //    fail("IllegalArgumentException expected");
489         //} catch (IllegalArgumentException ex) {
490             // expected behavior
491         //} catch (Exception e) {
492         //    fail("wrong exception caught");
493         //}
494 
495         RealVector v5_i = new OpenMapRealVector(dvec1);
496         assertEquals("testData len", 9, v5_i.getDimension());
497         assertEquals("testData is 9.0 ", 9.0, v5_i.getEntry(8));
498 
499         OpenMapRealVector v5 = new OpenMapRealVector(dvec1);
500         assertEquals("testData len", 9, v5.getDimension());
501         assertEquals("testData is 9.0 ", 9.0, v5.getEntry(8));
502 
503         OpenMapRealVector v7 = new OpenMapRealVector(v1);
504         assertEquals("testData len", 7, v7.getDimension());
505         assertEquals("testData is 0.0 ", 0.0, v7.getEntry(6));
506 
507         SparseRealVectorTestImpl v7_i = new SparseRealVectorTestImpl(vec1);
508 
509         OpenMapRealVector v7_2 = new OpenMapRealVector(v7_i);
510         assertEquals("testData len", 3, v7_2.getDimension());
511         assertEquals("testData is 0.0 ", 2.0d, v7_2.getEntry(1));
512 
513         OpenMapRealVector v8 = new OpenMapRealVector(v1);
514         assertEquals("testData len", 7, v8.getDimension());
515         assertEquals("testData is 0.0 ", 0.0, v8.getEntry(6));
516 
517     }
518 
519     public void testDataInOut() {
520 
521         OpenMapRealVector v1 = new OpenMapRealVector(vec1);
522         OpenMapRealVector v2 = new OpenMapRealVector(vec2);
523         OpenMapRealVector v4 = new OpenMapRealVector(vec4);
524         SparseRealVectorTestImpl v2_t = new SparseRealVectorTestImpl(vec2); 
525 
526         RealVector v_append_1 = v1.append(v2);
527         assertEquals("testData len", 6, v_append_1.getDimension());
528         assertEquals("testData is 4.0 ", 4.0, v_append_1.getEntry(3));
529 
530         RealVector v_append_2 = v1.append(2.0);
531         assertEquals("testData len", 4, v_append_2.getDimension());
532         assertEquals("testData is 2.0 ", 2.0, v_append_2.getEntry(3));
533 
534         RealVector v_append_3 = v1.append(vec2);
535         assertEquals("testData len", 6, v_append_3.getDimension());
536         assertEquals("testData is  ", 4.0, v_append_3.getEntry(3));
537 
538 	    RealVector v_append_4 = v1.append(v2_t);
539         assertEquals("testData len", 6, v_append_4.getDimension());
540         assertEquals("testData is 4.0 ", 4.0, v_append_4.getEntry(3));
541         
542         RealVector vout5 = v4.getSubVector(3, 3);
543         assertEquals("testData len", 3, vout5.getDimension());
544         assertEquals("testData is 4.0 ", 5.0, vout5.getEntry(1));
545         try {
546             v4.getSubVector(3, 7);
547             fail("MatrixIndexException expected");
548         } catch (MatrixIndexException ex) {
549             // expected behavior
550         } catch (Exception e) {
551             fail("wrong exception caught");
552         }
553 
554         OpenMapRealVector v_set1 = (OpenMapRealVector) v1.copy();
555         v_set1.setEntry(1, 11.0);
556         assertEquals("testData is 11.0 ", 11.0, v_set1.getEntry(1));
557         try {
558             v_set1.setEntry(3, 11.0);
559             fail("MatrixIndexException expected");
560         } catch (MatrixIndexException ex) {
561             // expected behavior
562         } catch (Exception e) {
563             fail("wrong exception caught");
564         }
565 
566         OpenMapRealVector v_set2 = (OpenMapRealVector) v4.copy();
567         v_set2.setSubVector(3, v1);
568         assertEquals("testData is 1.0 ", 1.0, v_set2.getEntry(3));
569         assertEquals("testData is 7.0 ", 7.0, v_set2.getEntry(6));
570         try {
571             v_set2.setSubVector(7, v1);
572             fail("MatrixIndexException expected");
573         } catch (MatrixIndexException ex) {
574             // expected behavior
575         } catch (Exception e) {
576             fail("wrong exception caught");
577         }
578 
579         OpenMapRealVector v_set3 = (OpenMapRealVector) v1.copy();
580         v_set3.set(13.0);
581         assertEquals("testData is 13.0 ", 13.0, v_set3.getEntry(2));
582 
583         try {
584             v_set3.getEntry(23);
585             fail("MatrixIndexException expected");
586         } catch (MatrixIndexException ex) {
587             // expected behavior
588         } catch (Exception e) {
589             fail("wrong exception caught");
590         }
591 
592         OpenMapRealVector v_set4 = (OpenMapRealVector) v4.copy();
593         v_set4.setSubVector(3, v2_t);
594         assertEquals("testData is 1.0 ", 4.0, v_set4.getEntry(3));
595         assertEquals("testData is 7.0 ", 7.0, v_set4.getEntry(6));
596         try {
597             v_set4.setSubVector(7, v2_t);
598             fail("MatrixIndexException expected");
599         } catch (MatrixIndexException ex) {
600             // expected behavior
601         } catch (Exception e) {
602             fail("wrong exception caught");
603         }
604 
605 
606     }
607 
608     public void testMapFunctions() { 
609         OpenMapRealVector v1 = new OpenMapRealVector(vec1);
610 
611         //octave =  v1 .+ 2.0
612         RealVector v_mapAdd = v1.mapAdd(2.0d);
613         double[] result_mapAdd = {3d, 4d, 5d};
614         assertClose("compare vectors" ,result_mapAdd,v_mapAdd.getData(),normTolerance);
615 
616         //octave =  v1 .+ 2.0
617         RealVector v_mapAddToSelf = v1.copy();
618         v_mapAddToSelf.mapAddToSelf(2.0d);
619         double[] result_mapAddToSelf = {3d, 4d, 5d};
620         assertClose("compare vectors" ,result_mapAddToSelf,v_mapAddToSelf.getData(),normTolerance);
621 
622         //octave =  v1 .- 2.0
623         RealVector v_mapSubtract = v1.mapSubtract(2.0d);
624         double[] result_mapSubtract = {-1d, 0d, 1d};
625         assertClose("compare vectors" ,result_mapSubtract,v_mapSubtract.getData(),normTolerance);
626 
627         //octave =  v1 .- 2.0
628         RealVector v_mapSubtractToSelf = v1.copy();
629         v_mapSubtractToSelf.mapSubtractToSelf(2.0d);
630         double[] result_mapSubtractToSelf = {-1d, 0d, 1d};
631         assertClose("compare vectors" ,result_mapSubtractToSelf,v_mapSubtractToSelf.getData(),normTolerance);
632 
633         //octave =  v1 .* 2.0
634         RealVector v_mapMultiply = v1.mapMultiply(2.0d);
635         double[] result_mapMultiply = {2d, 4d, 6d};
636         assertClose("compare vectors" ,result_mapMultiply,v_mapMultiply.getData(),normTolerance);
637 
638         //octave =  v1 .* 2.0
639         RealVector v_mapMultiplyToSelf = v1.copy();
640         v_mapMultiplyToSelf.mapMultiplyToSelf(2.0d);
641         double[] result_mapMultiplyToSelf = {2d, 4d, 6d};
642         assertClose("compare vectors" ,result_mapMultiplyToSelf,v_mapMultiplyToSelf.getData(),normTolerance);
643 
644         //octave =  v1 ./ 2.0
645         RealVector v_mapDivide = v1.mapDivide(2.0d);
646         double[] result_mapDivide = {.5d, 1d, 1.5d};
647         assertClose("compare vectors" ,result_mapDivide,v_mapDivide.getData(),normTolerance);
648 
649         //octave =  v1 ./ 2.0
650         RealVector v_mapDivideToSelf = v1.copy();
651         v_mapDivideToSelf.mapDivideToSelf(2.0d);
652         double[] result_mapDivideToSelf = {.5d, 1d, 1.5d};
653         assertClose("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.getData(),normTolerance);
654 
655         //octave =  v1 .^ 2.0
656         RealVector v_mapPow = v1.mapPow(2.0d);
657         double[] result_mapPow = {1d, 4d, 9d};
658         assertClose("compare vectors" ,result_mapPow,v_mapPow.getData(),normTolerance);
659 
660         //octave =  v1 .^ 2.0
661         RealVector v_mapPowToSelf = v1.copy();
662         v_mapPowToSelf.mapPowToSelf(2.0d);
663         double[] result_mapPowToSelf = {1d, 4d, 9d};
664         assertClose("compare vectors" ,result_mapPowToSelf,v_mapPowToSelf.getData(),normTolerance);
665 
666         //octave =  exp(v1)
667         RealVector v_mapExp = v1.mapExp();
668         double[] result_mapExp = {2.718281828459045e+00d,7.389056098930650e+00d, 2.008553692318767e+01d};
669         assertClose("compare vectors" ,result_mapExp,v_mapExp.getData(),normTolerance);
670 
671         //octave =  exp(v1)
672         RealVector v_mapExpToSelf = v1.copy();
673         v_mapExpToSelf.mapExpToSelf();
674         double[] result_mapExpToSelf = {2.718281828459045e+00d,7.389056098930650e+00d, 2.008553692318767e+01d};
675         assertClose("compare vectors" ,result_mapExpToSelf,v_mapExpToSelf.getData(),normTolerance);
676 
677 
678         //octave =  ???
679         RealVector v_mapExpm1 = v1.mapExpm1();
680         double[] result_mapExpm1 = {1.718281828459045d,6.38905609893065d, 19.085536923187668d};
681         assertClose("compare vectors" ,result_mapExpm1,v_mapExpm1.getData(),normTolerance);
682 
683         //octave =  ???
684         RealVector v_mapExpm1ToSelf = v1.copy();
685         v_mapExpm1ToSelf.mapExpm1ToSelf();
686         double[] result_mapExpm1ToSelf = {1.718281828459045d,6.38905609893065d, 19.085536923187668d};
687         assertClose("compare vectors" ,result_mapExpm1ToSelf,v_mapExpm1ToSelf.getData(),normTolerance);
688 
689         //octave =  log(v1)
690         RealVector v_mapLog = v1.mapLog();
691         double[] result_mapLog = {0d,6.931471805599453e-01d, 1.098612288668110e+00d};
692         assertClose("compare vectors" ,result_mapLog,v_mapLog.getData(),normTolerance);
693 
694         //octave =  log(v1)
695         RealVector v_mapLogToSelf = v1.copy();
696         v_mapLogToSelf.mapLogToSelf();
697         double[] result_mapLogToSelf = {0d,6.931471805599453e-01d, 1.098612288668110e+00d};
698         assertClose("compare vectors" ,result_mapLogToSelf,v_mapLogToSelf.getData(),normTolerance);
699 
700         //octave =  log10(v1)
701         RealVector v_mapLog10 = v1.mapLog10();
702         double[] result_mapLog10 = {0d,3.010299956639812e-01d, 4.771212547196624e-01d};
703         assertClose("compare vectors" ,result_mapLog10,v_mapLog10.getData(),normTolerance);
704 
705         //octave =  log(v1)
706         RealVector v_mapLog10ToSelf = v1.copy();
707         v_mapLog10ToSelf.mapLog10ToSelf();
708         double[] result_mapLog10ToSelf = {0d,3.010299956639812e-01d, 4.771212547196624e-01d};
709         assertClose("compare vectors" ,result_mapLog10ToSelf,v_mapLog10ToSelf.getData(),normTolerance);
710 
711         //octave =  ???
712         RealVector v_mapLog1p = v1.mapLog1p();
713         double[] result_mapLog1p = {0.6931471805599453d,1.0986122886681096d,1.3862943611198906d};
714         assertClose("compare vectors" ,result_mapLog1p,v_mapLog1p.getData(),normTolerance);
715 
716         //octave =  ???
717         RealVector v_mapLog1pToSelf = v1.copy();
718         v_mapLog1pToSelf.mapLog1pToSelf();
719         double[] result_mapLog1pToSelf = {0.6931471805599453d,1.0986122886681096d,1.3862943611198906d};
720         assertClose("compare vectors" ,result_mapLog1pToSelf,v_mapLog1pToSelf.getData(),normTolerance);
721 
722         //octave =  cosh(v1)
723         RealVector v_mapCosh = v1.mapCosh();
724         double[] result_mapCosh = {1.543080634815244e+00d,3.762195691083631e+00d, 1.006766199577777e+01d};
725         assertClose("compare vectors" ,result_mapCosh,v_mapCosh.getData(),normTolerance);
726 
727         //octave =  cosh(v1)
728         RealVector v_mapCoshToSelf = v1.copy();
729         v_mapCoshToSelf.mapCoshToSelf();
730         double[] result_mapCoshToSelf = {1.543080634815244e+00d,3.762195691083631e+00d, 1.006766199577777e+01d};
731         assertClose("compare vectors" ,result_mapCoshToSelf,v_mapCoshToSelf.getData(),normTolerance);
732 
733         //octave =  sinh(v1)
734         RealVector v_mapSinh = v1.mapSinh();
735         double[] result_mapSinh = {1.175201193643801e+00d,3.626860407847019e+00d, 1.001787492740990e+01d};
736         assertClose("compare vectors" ,result_mapSinh,v_mapSinh.getData(),normTolerance);
737 
738         //octave =  sinh(v1)
739         RealVector v_mapSinhToSelf = v1.copy();
740         v_mapSinhToSelf.mapSinhToSelf();
741         double[] result_mapSinhToSelf = {1.175201193643801e+00d,3.626860407847019e+00d, 1.001787492740990e+01d};
742         assertClose("compare vectors" ,result_mapSinhToSelf,v_mapSinhToSelf.getData(),normTolerance);
743 
744         //octave =  tanh(v1)
745         RealVector v_mapTanh = v1.mapTanh();
746         double[] result_mapTanh = {7.615941559557649e-01d,9.640275800758169e-01d,9.950547536867305e-01d};
747         assertClose("compare vectors" ,result_mapTanh,v_mapTanh.getData(),normTolerance);
748 
749         //octave =  tanh(v1)
750         RealVector v_mapTanhToSelf = v1.copy();
751         v_mapTanhToSelf.mapTanhToSelf();
752         double[] result_mapTanhToSelf = {7.615941559557649e-01d,9.640275800758169e-01d,9.950547536867305e-01d};
753         assertClose("compare vectors" ,result_mapTanhToSelf,v_mapTanhToSelf.getData(),normTolerance);
754 
755         //octave =  cos(v1)
756         RealVector v_mapCos = v1.mapCos();
757         double[] result_mapCos = {5.403023058681398e-01d,-4.161468365471424e-01d, -9.899924966004454e-01d};
758         assertClose("compare vectors" ,result_mapCos,v_mapCos.getData(),normTolerance);
759 
760         //octave =  cos(v1)
761         RealVector v_mapCosToSelf = v1.copy();
762         v_mapCosToSelf.mapCosToSelf();
763         double[] result_mapCosToSelf = {5.403023058681398e-01d,-4.161468365471424e-01d, -9.899924966004454e-01d};
764         assertClose("compare vectors" ,result_mapCosToSelf,v_mapCosToSelf.getData(),normTolerance);
765 
766         //octave =  sin(v1)
767         RealVector v_mapSin = v1.mapSin();
768         double[] result_mapSin = {8.414709848078965e-01d,9.092974268256817e-01d,1.411200080598672e-01d};
769         assertClose("compare vectors" ,result_mapSin,v_mapSin.getData(),normTolerance);
770 
771         //octave =  sin(v1)
772         RealVector v_mapSinToSelf = v1.copy();
773         v_mapSinToSelf.mapSinToSelf();
774         double[] result_mapSinToSelf = {8.414709848078965e-01d,9.092974268256817e-01d,1.411200080598672e-01d};
775         assertClose("compare vectors" ,result_mapSinToSelf,v_mapSinToSelf.getData(),normTolerance);
776 
777         //octave =  tan(v1)
778         RealVector v_mapTan = v1.mapTan();
779         double[] result_mapTan = {1.557407724654902e+00d,-2.185039863261519e+00d,-1.425465430742778e-01d};
780         assertClose("compare vectors" ,result_mapTan,v_mapTan.getData(),normTolerance);
781 
782         //octave =  tan(v1)
783         RealVector v_mapTanToSelf = v1.copy();
784         v_mapTanToSelf.mapTanToSelf();
785         double[] result_mapTanToSelf = {1.557407724654902e+00d,-2.185039863261519e+00d,-1.425465430742778e-01d};
786         assertClose("compare vectors" ,result_mapTanToSelf,v_mapTanToSelf.getData(),normTolerance);
787 
788         double[] vat_a = {0d, 0.5d, 1.0d};
789         OpenMapRealVector vat = new OpenMapRealVector(vat_a);
790 
791         //octave =  acos(vat)
792         RealVector v_mapAcos = vat.mapAcos();
793         double[] result_mapAcos = {1.570796326794897e+00d,1.047197551196598e+00d, 0.0d};
794         assertClose("compare vectors" ,result_mapAcos,v_mapAcos.getData(),normTolerance);
795 
796         //octave =  acos(vat)
797         RealVector v_mapAcosToSelf = vat.copy();
798         v_mapAcosToSelf.mapAcosToSelf();
799         double[] result_mapAcosToSelf = {1.570796326794897e+00d,1.047197551196598e+00d, 0.0d};
800         assertClose("compare vectors" ,result_mapAcosToSelf,v_mapAcosToSelf.getData(),normTolerance);
801 
802         //octave =  asin(vat)
803         RealVector v_mapAsin = vat.mapAsin();
804         double[] result_mapAsin = {0.0d,5.235987755982989e-01d,1.570796326794897e+00d};
805         assertClose("compare vectors" ,result_mapAsin,v_mapAsin.getData(),normTolerance);
806 
807         //octave =  asin(vat)
808         RealVector v_mapAsinToSelf = vat.copy();
809         v_mapAsinToSelf.mapAsinToSelf();        
810         double[] result_mapAsinToSelf = {0.0d,5.235987755982989e-01d,1.570796326794897e+00d};
811         assertClose("compare vectors" ,result_mapAsinToSelf,v_mapAsinToSelf.getData(),normTolerance);
812 
813         //octave =  atan(vat)
814         RealVector v_mapAtan = vat.mapAtan();
815         double[] result_mapAtan = {0.0d,4.636476090008061e-01d,7.853981633974483e-01d};
816         assertClose("compare vectors" ,result_mapAtan,v_mapAtan.getData(),normTolerance);
817 
818         //octave =  atan(vat)
819         RealVector v_mapAtanToSelf = vat.copy();
820         v_mapAtanToSelf.mapAtanToSelf();
821         double[] result_mapAtanToSelf = {0.0d,4.636476090008061e-01d,7.853981633974483e-01d};
822         assertClose("compare vectors" ,result_mapAtanToSelf,v_mapAtanToSelf.getData(),normTolerance);
823 
824         //octave =  v1 .^-1
825         RealVector v_mapInv = v1.mapInv();
826         double[] result_mapInv = {1d,0.5d,3.333333333333333e-01d};
827         assertClose("compare vectors" ,result_mapInv,v_mapInv.getData(),normTolerance);
828 
829         //octave =  v1 .^-1
830         RealVector v_mapInvToSelf = v1.copy();
831         v_mapInvToSelf.mapInvToSelf();
832         double[] result_mapInvToSelf = {1d,0.5d,3.333333333333333e-01d};
833         assertClose("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.getData(),normTolerance);
834 
835         double[] abs_a = {-1.0d, 0.0d, 1.0d};
836         OpenMapRealVector abs_v = new OpenMapRealVector(abs_a);
837 
838         //octave =  abs(abs_v)
839         RealVector v_mapAbs = abs_v.mapAbs();
840         double[] result_mapAbs = {1d,0d,1d};
841         assertClose("compare vectors" ,result_mapAbs,v_mapAbs.getData(),normTolerance);
842 
843         //octave = abs(abs_v)
844         RealVector v_mapAbsToSelf = abs_v.copy();
845         v_mapAbsToSelf.mapAbsToSelf();
846         double[] result_mapAbsToSelf = {1d,0d,1d};
847         assertClose("compare vectors" ,result_mapAbsToSelf,v_mapAbsToSelf.getData(),normTolerance);
848 
849         //octave =   sqrt(v1)
850         RealVector v_mapSqrt = v1.mapSqrt();
851         double[] result_mapSqrt = {1d,1.414213562373095e+00d,1.732050807568877e+00d};
852         assertClose("compare vectors" ,result_mapSqrt,v_mapSqrt.getData(),normTolerance);
853 
854         //octave =  sqrt(v1)
855         RealVector v_mapSqrtToSelf = v1.copy();
856         v_mapSqrtToSelf.mapSqrtToSelf();
857         double[] result_mapSqrtToSelf = {1d,1.414213562373095e+00d,1.732050807568877e+00d};
858         assertClose("compare vectors" ,result_mapSqrtToSelf,v_mapSqrtToSelf.getData(),normTolerance);
859 
860         double[] cbrt_a = {-2.0d, 0.0d, 2.0d};
861         OpenMapRealVector cbrt_v = new OpenMapRealVector(cbrt_a);
862 
863         //octave =  ???
864         RealVector v_mapCbrt = cbrt_v.mapCbrt();
865         double[] result_mapCbrt = {-1.2599210498948732d,0d,1.2599210498948732d};
866         assertClose("compare vectors" ,result_mapCbrt,v_mapCbrt.getData(),normTolerance);
867 
868         //octave = ???
869         RealVector v_mapCbrtToSelf = cbrt_v.copy();
870         v_mapCbrtToSelf.mapCbrtToSelf();
871         double[] result_mapCbrtToSelf =  {-1.2599210498948732d,0d,1.2599210498948732d};
872         assertClose("compare vectors" ,result_mapCbrtToSelf,v_mapCbrtToSelf.getData(),normTolerance);
873 
874         double[] ceil_a = {-1.1d, 0.9d, 1.1d};
875         OpenMapRealVector ceil_v = new OpenMapRealVector(ceil_a);
876 
877         //octave =  ceil(ceil_v)
878         RealVector v_mapCeil = ceil_v.mapCeil();
879         double[] result_mapCeil = {-1d,1d,2d};
880         assertClose("compare vectors" ,result_mapCeil,v_mapCeil.getData(),normTolerance);
881 
882         //octave = ceil(ceil_v)
883         RealVector v_mapCeilToSelf = ceil_v.copy();
884         v_mapCeilToSelf.mapCeilToSelf();
885         double[] result_mapCeilToSelf =  {-1d,1d,2d};
886         assertClose("compare vectors" ,result_mapCeilToSelf,v_mapCeilToSelf.getData(),normTolerance);
887 
888         //octave =  floor(ceil_v)
889         RealVector v_mapFloor = ceil_v.mapFloor();
890         double[] result_mapFloor = {-2d,0d,1d};
891         assertClose("compare vectors" ,result_mapFloor,v_mapFloor.getData(),normTolerance);
892 
893         //octave = floor(ceil_v)
894         RealVector v_mapFloorToSelf = ceil_v.copy();
895         v_mapFloorToSelf.mapFloorToSelf();
896         double[] result_mapFloorToSelf =  {-2d,0d,1d};
897         assertClose("compare vectors" ,result_mapFloorToSelf,v_mapFloorToSelf.getData(),normTolerance);
898 
899         //octave =  ???
900         RealVector v_mapRint = ceil_v.mapRint();
901         double[] result_mapRint = {-1d,1d,1d};
902         assertClose("compare vectors" ,result_mapRint,v_mapRint.getData(),normTolerance);
903 
904         //octave = ???
905         RealVector v_mapRintToSelf = ceil_v.copy();
906         v_mapRintToSelf.mapRintToSelf();
907         double[] result_mapRintToSelf =  {-1d,1d,1d};
908         assertClose("compare vectors" ,result_mapRintToSelf,v_mapRintToSelf.getData(),normTolerance);
909 
910         //octave =  ???
911         RealVector v_mapSignum = ceil_v.mapSignum();
912         double[] result_mapSignum = {-1d,1d,1d};
913         assertClose("compare vectors" ,result_mapSignum,v_mapSignum.getData(),normTolerance);
914 
915         //octave = ???
916         RealVector v_mapSignumToSelf = ceil_v.copy();
917         v_mapSignumToSelf.mapSignumToSelf();
918         double[] result_mapSignumToSelf =  {-1d,1d,1d};
919         assertClose("compare vectors" ,result_mapSignumToSelf,v_mapSignumToSelf.getData(),normTolerance);
920 
921 
922         // Is with the used resolutions of limited value as test
923         //octave =  ???
924         RealVector v_mapUlp = ceil_v.mapUlp();
925         double[] result_mapUlp = {2.220446049250313E-16d,1.1102230246251565E-16d,2.220446049250313E-16d};
926         assertClose("compare vectors" ,result_mapUlp,v_mapUlp.getData(),normTolerance);
927 
928         //octave = ???
929         RealVector v_mapUlpToSelf = ceil_v.copy();
930         v_mapUlpToSelf.mapUlpToSelf();
931         double[] result_mapUlpToSelf = {2.220446049250313E-16d,1.1102230246251565E-16d,2.220446049250313E-16d};
932         assertClose("compare vectors" ,result_mapUlpToSelf,v_mapUlpToSelf.getData(),normTolerance);
933 
934     }
935 
936     public void testBasicFunctions() { 
937         OpenMapRealVector v1 = new OpenMapRealVector(vec1);
938         OpenMapRealVector v2 = new OpenMapRealVector(vec2);
939         OpenMapRealVector v_null = new OpenMapRealVector(vec_null);
940 
941         SparseRealVectorTestImpl v2_t = new SparseRealVectorTestImpl(vec2); 
942 
943         //octave =  sqrt(sumsq(v1))
944         double d_getNorm = v1.getNorm();
945         assertEquals("compare values  ", 3.7416573867739413,d_getNorm);
946 
947         double d_getL1Norm = v1.getL1Norm();
948         assertEquals("compare values  ",6.0, d_getL1Norm);
949 
950         double d_getLInfNorm = v1.getLInfNorm();
951         assertEquals("compare values  ",6.0, d_getLInfNorm);
952 
953         //octave =  sqrt(sumsq(v1-v2))
954         double dist = v1.getDistance(v2);
955         assertEquals("compare values  ",v1.subtract(v2).getNorm(), dist );
956 
957         //octave =  sqrt(sumsq(v1-v2))
958         double dist_2 = v1.getDistance(v2_t);
959         assertEquals("compare values  ", v1.subtract(v2).getNorm(),dist_2 );
960 
961         //octave =  ???
962         double d_getL1Distance = v1. getL1Distance(v2);
963         assertEquals("compare values  ",9d, d_getL1Distance );
964 
965         double d_getL1Distance_2 = v1. getL1Distance(v2_t);
966         assertEquals("compare values  ",9d, d_getL1Distance_2 );
967 
968         //octave =  ???
969         double d_getLInfDistance = v1. getLInfDistance(v2);
970         assertEquals("compare values  ",3d, d_getLInfDistance );
971 
972         double d_getLInfDistance_2 = v1. getLInfDistance(v2_t);
973         assertEquals("compare values  ",3d, d_getLInfDistance_2 );
974 
975         //octave =  v1 + v2
976         OpenMapRealVector v_add = v1.add(v2);
977         double[] result_add = {5d, 7d, 9d};
978         assertClose("compare vect" ,v_add.getData(),result_add,normTolerance);
979 
980         SparseRealVectorTestImpl vt2 = new SparseRealVectorTestImpl(vec2);
981         RealVector v_add_i = v1.add(vt2);
982         double[] result_add_i = {5d, 7d, 9d};
983         assertClose("compare vect" ,v_add_i.getData(),result_add_i,normTolerance);
984 
985         //octave =  v1 - v2
986         OpenMapRealVector v_subtract = v1.subtract(v2);
987         double[] result_subtract = {-3d, -3d, -3d};
988         assertClose("compare vect" ,v_subtract.getData(),result_subtract,normTolerance);
989 
990         RealVector v_subtract_i = v1.subtract(vt2);
991         double[] result_subtract_i = {-3d, -3d, -3d};
992         assertClose("compare vect" ,v_subtract_i.getData(),result_subtract_i,normTolerance);
993 
994         // octave v1 .* v2
995         RealVector  v_ebeMultiply = v1.ebeMultiply(v2);
996         double[] result_ebeMultiply = {4d, 10d, 18d};
997         assertClose("compare vect" ,v_ebeMultiply.getData(),result_ebeMultiply,normTolerance);
998 
999         RealVector  v_ebeMultiply_2 = v1.ebeMultiply(v2_t);
1000         double[] result_ebeMultiply_2 = {4d, 10d, 18d};
1001         assertClose("compare vect" ,v_ebeMultiply_2.getData(),result_ebeMultiply_2,normTolerance);
1002 
1003         // octave v1 ./ v2
1004         RealVector  v_ebeDivide = v1.ebeDivide(v2);
1005         double[] result_ebeDivide = {0.25d, 0.4d, 0.5d};
1006         assertClose("compare vect" ,v_ebeDivide.getData(),result_ebeDivide,normTolerance);
1007 
1008         RealVector  v_ebeDivide_2 = v1.ebeDivide(v2_t);
1009         double[] result_ebeDivide_2 = {0.25d, 0.4d, 0.5d};
1010         assertClose("compare vect" ,v_ebeDivide_2.getData(),result_ebeDivide_2,normTolerance);
1011 
1012         // octave  dot(v1,v2)
1013         double dot =  v1.dotProduct(v2);
1014         assertEquals("compare val ",32d, dot);
1015 
1016         // octave  dot(v1,v2_t)
1017         double dot_2 =  v1.dotProduct(v2_t);
1018         assertEquals("compare val ",32d, dot_2);
1019 
1020         RealMatrix m_outerProduct = v1.outerProduct(v2);
1021         assertEquals("compare val ",4d, m_outerProduct.getEntry(0,0));
1022 
1023         RealMatrix m_outerProduct_2 = v1.outerProduct(v2_t);
1024         assertEquals("compare val ",4d, m_outerProduct_2.getEntry(0,0));
1025 
1026         RealVector v_unitVector = v1.unitVector();
1027         RealVector v_unitVector_2 = v1.mapDivide(v1.getNorm()); 
1028         assertClose("compare vect" ,v_unitVector.getData(),v_unitVector_2.getData(),normTolerance);
1029 
1030         try {
1031             v_null.unitVector();
1032             fail("Expecting ArithmeticException");
1033         } catch (ArithmeticException ex) {
1034             // expected behavior
1035         } catch (Exception e) {
1036             fail("wrong exception caught");
1037         }
1038 
1039         OpenMapRealVector v_unitize = (OpenMapRealVector)v1.copy();
1040         v_unitize.unitize();
1041         assertClose("compare vect" ,v_unitVector_2.getData(),v_unitize.getData(),normTolerance);
1042         try {
1043             v_null.unitize();
1044             fail("Expecting ArithmeticException");
1045         } catch (ArithmeticException ex) {
1046             // expected behavior
1047         } catch (Exception e) {
1048             fail("wrong exception caught");
1049         }
1050 
1051         RealVector v_projection = v1.projection(v2);
1052         double[] result_projection = {1.662337662337662, 2.0779220779220777, 2.493506493506493};
1053         assertClose("compare vect", v_projection.getData(), result_projection, normTolerance);
1054 
1055         RealVector v_projection_2 = v1.projection(v2_t);
1056         double[] result_projection_2 = {1.662337662337662, 2.0779220779220777, 2.493506493506493};
1057         assertClose("compare vect", v_projection_2.getData(), result_projection_2, normTolerance);
1058 
1059     }  
1060 
1061     public void testMisc() { 
1062         OpenMapRealVector v1 = new OpenMapRealVector(vec1);
1063 
1064         String out1 = v1.toString();
1065         assertTrue("some output ",  out1.length()!=0);
1066         try {
1067             v1.checkVectorDimensions(2); 
1068             fail("IllegalArgumentException expected");
1069         } catch (IllegalArgumentException ex) {
1070             // expected behavior
1071         } catch (Exception e) {
1072             fail("wrong exception caught");
1073         }     
1074 
1075 
1076     }
1077 
1078     public void testPredicates() {
1079 
1080         OpenMapRealVector v = new OpenMapRealVector(new double[] { 0, 1, 2 });
1081 
1082         assertFalse(v.isNaN());
1083         v.setEntry(1, Double.NaN);
1084         assertTrue(v.isNaN());
1085 
1086         assertFalse(v.isInfinite());
1087         v.setEntry(0, Double.POSITIVE_INFINITY);
1088         assertFalse(v.isInfinite()); // NaN has higher priority than infinity
1089         v.setEntry(1, 1);
1090         assertTrue(v.isInfinite());
1091 
1092         v.setEntry(0, 0);
1093         assertEquals(v, new OpenMapRealVector(new double[] { 0, 1, 2 }));
1094         assertNotSame(v, new OpenMapRealVector(new double[] { 0, 1, 2 + Math.ulp(2)}));
1095         assertNotSame(v, new OpenMapRealVector(new double[] { 0, 1, 2, 3 }));
1096 
1097     }
1098 
1099     public void testSerial()  {
1100         OpenMapRealVector v = new OpenMapRealVector(new double[] { 0, 1, 2 });
1101         assertEquals(v,TestUtils.serializeAndRecover(v));
1102     }
1103     
1104     /** verifies that two vectors are close (sup norm) */
1105     protected void assertClose(String msg, double[] m, double[] n,
1106             double tolerance) {
1107         if (m.length != n.length) {
1108             fail("vectors have different lengths");
1109         }
1110         for (int i = 0; i < m.length; i++) {
1111             assertEquals(msg + " " +  i + " elements differ", m[i],n[i],tolerance);
1112         }
1113     }
1114 
1115 }