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1   package org.djunits.value.vdouble.scalar;
2   
3   import org.djunits.unit.AccelerationUnit;
4   import org.djunits.unit.AngleSolidUnit;
5   import org.djunits.unit.AngleUnit;
6   import org.djunits.unit.AreaUnit;
7   import org.djunits.unit.DensityUnit;
8   import org.djunits.unit.DimensionlessUnit;
9   import org.djunits.unit.DurationUnit;
10  import org.djunits.unit.ElectricalChargeUnit;
11  import org.djunits.unit.ElectricalCurrentUnit;
12  import org.djunits.unit.ElectricalPotentialUnit;
13  import org.djunits.unit.ElectricalResistanceUnit;
14  import org.djunits.unit.EnergyUnit;
15  import org.djunits.unit.FlowMassUnit;
16  import org.djunits.unit.FlowVolumeUnit;
17  import org.djunits.unit.ForceUnit;
18  import org.djunits.unit.FrequencyUnit;
19  import org.djunits.unit.LengthUnit;
20  import org.djunits.unit.LinearDensityUnit;
21  import org.djunits.unit.MassUnit;
22  import org.djunits.unit.MoneyPerAreaUnit;
23  import org.djunits.unit.MoneyPerDurationUnit;
24  import org.djunits.unit.MoneyPerEnergyUnit;
25  import org.djunits.unit.MoneyPerLengthUnit;
26  import org.djunits.unit.MoneyPerMassUnit;
27  import org.djunits.unit.MoneyPerVolumeUnit;
28  import org.djunits.unit.MoneyUnit;
29  import org.djunits.unit.PowerUnit;
30  import org.djunits.unit.PressureUnit;
31  import org.djunits.unit.SpeedUnit;
32  import org.djunits.unit.TemperatureUnit;
33  import org.djunits.unit.TorqueUnit;
34  import org.djunits.unit.VolumeUnit;
35  import org.djunits.value.MathFunctionsDimensionless;
36  
37  /**
38   * Easy access methods for the Dimensionless DoubleScalar, which is relative by definition. Instead of:
39   * 
40   * <pre>
41   * DoubleScalar.Rel&lt;DimensionlessUnit&gt; value = new DoubleScalar.Rel&lt;DimensionlessUnit&gt;(100.0, DimensionlessUnit.SI);
42   * </pre>
43   * 
44   * we can now write:
45   * 
46   * <pre>
47   * Dimensionless value = new Dimensionless(100.0, DimensionlessUnit.SI);
48   * </pre>
49   * 
50   * The compiler will automatically recognize which units belong to which quantity, and whether the quantity type and the unit
51   * used are compatible.
52   * <p>
53   * Copyright (c) 2013-2018 Delft University of Technology, PO Box 5, 2600 AA, Delft, the Netherlands. All rights reserved. <br>
54   * BSD-style license. See <a href="http://djunits.org/docs/license.html">DJUNITS License</a>.
55   * <p>
56   * $LastChangedDate: 2018-01-28 03:17:44 +0100 (Sun, 28 Jan 2018) $, @version $Revision: 256 $, by $Author: averbraeck $,
57   * initial version Sep 5, 2015 <br>
58   * @author <a href="http://www.tbm.tudelft.nl/averbraeck">Alexander Verbraeck</a>
59   * @author <a href="http://www.tudelft.nl/pknoppers">Peter Knoppers</a>
60   */
61  public class Dimensionless extends AbstractDoubleScalarRel<DimensionlessUnit, Dimensionless>
62          implements MathFunctionsDimensionless<Dimensionless>
63  {
64      /** */
65      private static final long serialVersionUID = 20150905L;
66  
67      /** constant with value zero. */
68      public static final Dimensionless ZERO = new Dimensionless(0.0, DimensionlessUnit.SI);
69  
70      /** constant with value NaN. */
71      @SuppressWarnings("checkstyle:constantname")
72      public static final Dimensionless NaN = new Dimensionless(Double.NaN, DimensionlessUnit.SI);
73  
74      /** constant with value POSITIVE_INFINITY. */
75      public static final Dimensionless POSITIVE_INFINITY = new Dimensionless(Double.POSITIVE_INFINITY, DimensionlessUnit.SI);
76  
77      /** constant with value NEGATIVE_INFINITY. */
78      public static final Dimensionless NEGATIVE_INFINITY = new Dimensionless(Double.NEGATIVE_INFINITY, DimensionlessUnit.SI);
79  
80      /** constant with value MAX_VALUE. */
81      public static final Dimensionless POS_MAXVALUE = new Dimensionless(Double.MAX_VALUE, DimensionlessUnit.SI);
82  
83      /** constant with value -MAX_VALUE. */
84      public static final Dimensionless NEG_MAXVALUE = new Dimensionless(-Double.MAX_VALUE, DimensionlessUnit.SI);
85  
86      /**
87       * Construct Dimensionless scalar.
88       * @param value double value
89       * @param unit unit for the double value
90       */
91      public Dimensionless(final double value, final DimensionlessUnit unit)
92      {
93          super(value, unit);
94      }
95  
96      /**
97       * Construct Dimensionless scalar.
98       * @param value Scalar from which to construct this instance
99       */
100     public Dimensionless(final Dimensionless value)
101     {
102         super(value);
103     }
104 
105     /** {@inheritDoc} */
106     @Override
107     public final Dimensionless instantiateRel(final double value, final DimensionlessUnit unit)
108     {
109         return new Dimensionless(value, unit);
110     }
111 
112     /**
113      * Construct Dimensionless scalar.
114      * @param value double value in SI units
115      * @return the new scalar with the SI value
116      */
117     public static final Dimensionless createSI(final double value)
118     {
119         return new Dimensionless(value, DimensionlessUnit.SI);
120     }
121 
122     /**
123      * Interpolate between two values.
124      * @param zero the low value
125      * @param one the high value
126      * @param ratio the ratio between 0 and 1, inclusive
127      * @return a Scalar at the ratio between
128      */
129     public static Dimensionless interpolate(final Dimensionless zero, final Dimensionless one, final double ratio)
130     {
131         return new Dimensionless(zero.getInUnit() * (1 - ratio) + one.getInUnit(zero.getUnit()) * ratio, zero.getUnit());
132     }
133 
134     /**
135      * Return the maximum value of two relative scalars.
136      * @param r1 the first scalar
137      * @param r2 the second scalar
138      * @return the maximum value of two relative scalars
139      */
140     public static Dimensionless max(final Dimensionless r1, final Dimensionless r2)
141     {
142         return (r1.gt(r2)) ? r1 : r2;
143     }
144 
145     /**
146      * Return the maximum value of more than two relative scalars.
147      * @param r1 the first scalar
148      * @param r2 the second scalar
149      * @param rn the other scalars
150      * @return the maximum value of more than two relative scalars
151      */
152     public static Dimensionless max(final Dimensionless r1, final Dimensionless r2, final Dimensionless... rn)
153     {
154         Dimensionless maxr = (r1.gt(r2)) ? r1 : r2;
155         for (Dimensionless r : rn)
156         {
157             if (r.gt(maxr))
158             {
159                 maxr = r;
160             }
161         }
162         return maxr;
163     }
164 
165     /**
166      * Return the minimum value of two relative scalars.
167      * @param r1 the first scalar
168      * @param r2 the second scalar
169      * @return the minimum value of two relative scalars
170      */
171     public static Dimensionless min(final Dimensionless r1, final Dimensionless r2)
172     {
173         return (r1.lt(r2)) ? r1 : r2;
174     }
175 
176     /**
177      * Return the minimum value of more than two relative scalars.
178      * @param r1 the first scalar
179      * @param r2 the second scalar
180      * @param rn the other scalars
181      * @return the minimum value of more than two relative scalars
182      */
183     public static Dimensionless min(final Dimensionless r1, final Dimensionless r2, final Dimensionless... rn)
184     {
185         Dimensionless minr = (r1.lt(r2)) ? r1 : r2;
186         for (Dimensionless r : rn)
187         {
188             if (r.lt(minr))
189             {
190                 minr = r;
191             }
192         }
193         return minr;
194     }
195 
196     /** {@inheritDoc} */
197     @Override
198     public final Dimensionless acos()
199     {
200         return instantiateRel(Math.acos(getInUnit()), getUnit());
201     }
202 
203     /** {@inheritDoc} */
204     @Override
205     public final Dimensionless asin()
206     {
207         return instantiateRel(Math.asin(getInUnit()), getUnit());
208     }
209 
210     /** {@inheritDoc} */
211     @Override
212     public final Dimensionless atan()
213     {
214         return instantiateRel(Math.atan(getInUnit()), getUnit());
215     }
216 
217     /** {@inheritDoc} */
218     @Override
219     public final Dimensionless cbrt()
220     {
221         return instantiateRel(Math.cbrt(getInUnit()), getUnit());
222     }
223 
224     /** {@inheritDoc} */
225     @Override
226     public final Dimensionless cos()
227     {
228         return instantiateRel(Math.cos(getInUnit()), getUnit());
229     }
230 
231     /** {@inheritDoc} */
232     @Override
233     public final Dimensionless cosh()
234     {
235         return instantiateRel(Math.cosh(getInUnit()), getUnit());
236     }
237 
238     /** {@inheritDoc} */
239     @Override
240     public final Dimensionless exp()
241     {
242         return instantiateRel(Math.exp(getInUnit()), getUnit());
243     }
244 
245     /** {@inheritDoc} */
246     @Override
247     public final Dimensionless expm1()
248     {
249         return instantiateRel(Math.expm1(getInUnit()), getUnit());
250     }
251 
252     /** {@inheritDoc} */
253     @Override
254     public final Dimensionless log()
255     {
256         return instantiateRel(Math.log(getInUnit()), getUnit());
257     }
258 
259     /** {@inheritDoc} */
260     @Override
261     public final Dimensionless log10()
262     {
263         return instantiateRel(Math.log10(getInUnit()), getUnit());
264     }
265 
266     /** {@inheritDoc} */
267     @Override
268     public final Dimensionless log1p()
269     {
270         return instantiateRel(Math.log1p(getInUnit()), getUnit());
271     }
272 
273     /** {@inheritDoc} */
274     @Override
275     public final Dimensionless pow(final double x)
276     {
277         return instantiateRel(Math.pow(getInUnit(), x), getUnit());
278     }
279 
280     /** {@inheritDoc} */
281     @Override
282     public final Dimensionless signum()
283     {
284         return instantiateRel(Math.signum(getInUnit()), getUnit());
285     }
286 
287     /** {@inheritDoc} */
288     @Override
289     public final Dimensionless sin()
290     {
291         return instantiateRel(Math.sin(getInUnit()), getUnit());
292     }
293 
294     /** {@inheritDoc} */
295     @Override
296     public final Dimensionless sinh()
297     {
298         return instantiateRel(Math.sinh(getInUnit()), getUnit());
299     }
300 
301     /** {@inheritDoc} */
302     @Override
303     public final Dimensionless sqrt()
304     {
305         return instantiateRel(Math.sqrt(getInUnit()), getUnit());
306     }
307 
308     /** {@inheritDoc} */
309     @Override
310     public final Dimensionless tan()
311     {
312         return instantiateRel(Math.tan(getInUnit()), getUnit());
313     }
314 
315     /** {@inheritDoc} */
316     @Override
317     public final Dimensionless tanh()
318     {
319         return instantiateRel(Math.tanh(getInUnit()), getUnit());
320     }
321 
322     /** {@inheritDoc} */
323     @Override
324     public final Dimensionless inv()
325     {
326         return instantiateRel(1.0 / getInUnit(), getUnit());
327     }
328 
329     /**
330      * Calculate the division of Dimensionless and Dimensionless, which results in a Dimensionless scalar.
331      * @param v Dimensionless scalar
332      * @return Dimensionless scalar as a division of Dimensionless and Dimensionless
333      */
334     public final Dimensionless divideBy(final Dimensionless v)
335     {
336         return new Dimensionless(this.si / v.si, DimensionlessUnit.SI);
337     }
338 
339     /**
340      * Calculate the multiplication of Dimensionless and Acceleration, which results in a Acceleration scalar.
341      * @param v Dimensionless scalar
342      * @return Acceleration scalar as a multiplication of Dimensionless and Acceleration
343      */
344     public final Acceleration multiplyBy(final Acceleration v)
345     {
346         return new Acceleration(this.si * v.si, AccelerationUnit.SI);
347     }
348 
349     /**
350      * Calculate the multiplication of Dimensionless and Angle, which results in a Angle scalar.
351      * @param v Dimensionless scalar
352      * @return Angle scalar as a multiplication of Dimensionless and Angle
353      */
354     public final Angle multiplyBy(final Angle v)
355     {
356         return new Angle(this.si * v.si, AngleUnit.SI);
357     }
358 
359     /**
360      * Calculate the multiplication of Dimensionless and AngleSolid, which results in a AngleSolid scalar.
361      * @param v Dimensionless scalar
362      * @return AngleSolid scalar as a multiplication of Dimensionless and AngleSolid
363      */
364     public final AngleSolid multiplyBy(final AngleSolid v)
365     {
366         return new AngleSolid(this.si * v.si, AngleSolidUnit.SI);
367     }
368 
369     /**
370      * Calculate the multiplication of Dimensionless and Area, which results in a Area scalar.
371      * @param v Dimensionless scalar
372      * @return Area scalar as a multiplication of Dimensionless and Area
373      */
374     public final Area multiplyBy(final Area v)
375     {
376         return new Area(this.si * v.si, AreaUnit.SI);
377     }
378 
379     /**
380      * Calculate the multiplication of Dimensionless and Density, which results in a Density scalar.
381      * @param v Dimensionless scalar
382      * @return Density scalar as a multiplication of Dimensionless and Density
383      */
384     public final Density multiplyBy(final Density v)
385     {
386         return new Density(this.si * v.si, DensityUnit.SI);
387     }
388 
389     /**
390      * Calculate the multiplication of Dimensionless and Dimensionless, which results in a Dimensionless scalar.
391      * @param v Dimensionless scalar
392      * @return Dimensionless scalar as a multiplication of Dimensionless and Dimensionless
393      */
394     public final Dimensionless multiplyBy(final Dimensionless v)
395     {
396         return new Dimensionless(this.si * v.si, DimensionlessUnit.SI);
397     }
398 
399     /**
400      * Calculate the multiplication of Dimensionless and ElectricalCharge, which results in a ElectricalCharge scalar.
401      * @param v Dimensionless scalar
402      * @return ElectricalCharge scalar as a multiplication of Dimensionless and ElectricalCharge
403      */
404     public final ElectricalCharge multiplyBy(final ElectricalCharge v)
405     {
406         return new ElectricalCharge(this.si * v.si, ElectricalChargeUnit.SI);
407     }
408 
409     /**
410      * Calculate the multiplication of Dimensionless and ElectricalCurrent, which results in a ElectricalCurrent scalar.
411      * @param v Dimensionless scalar
412      * @return ElectricalCurrent scalar as a multiplication of Dimensionless and ElectricalCurrent
413      */
414     public final ElectricalCurrent multiplyBy(final ElectricalCurrent v)
415     {
416         return new ElectricalCurrent(this.si * v.si, ElectricalCurrentUnit.SI);
417     }
418 
419     /**
420      * Calculate the multiplication of Dimensionless and ElectricalPotential, which results in a ElectricalPotential scalar.
421      * @param v Dimensionless scalar
422      * @return ElectricalPotential scalar as a multiplication of Dimensionless and ElectricalPotential
423      */
424     public final ElectricalPotential multiplyBy(final ElectricalPotential v)
425     {
426         return new ElectricalPotential(this.si * v.si, ElectricalPotentialUnit.SI);
427     }
428 
429     /**
430      * Calculate the multiplication of Dimensionless and ElectricalResistance, which results in a ElectricalResistance scalar.
431      * @param v Dimensionless scalar
432      * @return ElectricalResistance scalar as a multiplication of Dimensionless and ElectricalResistance
433      */
434     public final ElectricalResistance multiplyBy(final ElectricalResistance v)
435     {
436         return new ElectricalResistance(this.si * v.si, ElectricalResistanceUnit.SI);
437     }
438 
439     /**
440      * Calculate the multiplication of Dimensionless and Energy, which results in a Energy scalar.
441      * @param v Dimensionless scalar
442      * @return Energy scalar as a multiplication of Dimensionless and Energy
443      */
444     public final Energy multiplyBy(final Energy v)
445     {
446         return new Energy(this.si * v.si, EnergyUnit.SI);
447     }
448 
449     /**
450      * Calculate the multiplication of Dimensionless and FlowMass, which results in a FlowMass scalar.
451      * @param v Dimensionless scalar
452      * @return FlowMass scalar as a multiplication of Dimensionless and FlowMass
453      */
454     public final FlowMass multiplyBy(final FlowMass v)
455     {
456         return new FlowMass(this.si * v.si, FlowMassUnit.SI);
457     }
458 
459     /**
460      * Calculate the multiplication of Dimensionless and FlowVolume, which results in a FlowVolume scalar.
461      * @param v Dimensionless scalar
462      * @return FlowVolume scalar as a multiplication of Dimensionless and FlowVolume
463      */
464     public final FlowVolume multiplyBy(final FlowVolume v)
465     {
466         return new FlowVolume(this.si * v.si, FlowVolumeUnit.SI);
467     }
468 
469     /**
470      * Calculate the multiplication of Dimensionless and Force, which results in a Force scalar.
471      * @param v Dimensionless scalar
472      * @return Force scalar as a multiplication of Dimensionless and Force
473      */
474     public final Force multiplyBy(final Force v)
475     {
476         return new Force(this.si * v.si, ForceUnit.SI);
477     }
478 
479     /**
480      * Calculate the multiplication of Dimensionless and Frequency, which results in a Frequency scalar.
481      * @param v Dimensionless scalar
482      * @return Frequency scalar as a multiplication of Dimensionless and Frequency
483      */
484     public final Frequency multiplyBy(final Frequency v)
485     {
486         return new Frequency(this.si * v.si, FrequencyUnit.SI);
487     }
488 
489     /**
490      * Calculate the multiplication of Dimensionless and Length, which results in a Length scalar.
491      * @param v Dimensionless scalar
492      * @return Length scalar as a multiplication of Dimensionless and Length
493      */
494     public final Length multiplyBy(final Length v)
495     {
496         return new Length(this.si * v.si, LengthUnit.SI);
497     }
498 
499     /**
500      * Calculate the multiplication of Dimensionless and LinearDensity, which results in a LinearDensity scalar.
501      * @param v Dimensionless scalar
502      * @return LinearDensity scalar as a multiplication of Dimensionless and LinearDensity
503      */
504     public final LinearDensity multiplyBy(final LinearDensity v)
505     {
506         return new LinearDensity(this.si * v.si, LinearDensityUnit.SI);
507     }
508 
509     /**
510      * Calculate the multiplication of Dimensionless and Mass, which results in a Mass scalar.
511      * @param v Dimensionless scalar
512      * @return Mass scalar as a multiplication of Dimensionless and Mass
513      */
514     public final Mass multiplyBy(final Mass v)
515     {
516         return new Mass(this.si * v.si, MassUnit.SI);
517     }
518 
519     /**
520      * Calculate the multiplication of Dimensionless and Money, which results in a Money scalar.
521      * @param v Dimensionless scalar
522      * @return Money scalar as a multiplication of Dimensionless and Money
523      */
524     public final Money multiplyBy(final Money v)
525     {
526         return new Money(this.si * v.si, MoneyUnit.getStandardMoneyUnit());
527     }
528 
529     /**
530      * Calculate the multiplication of Dimensionless and MoneyPerArea, which results in a MoneyPerArea scalar.
531      * @param v Dimensionless scalar
532      * @return MoneyPerArea scalar as a multiplication of Dimensionless and MoneyPerArea
533      */
534     public final MoneyPerArea multiplyBy(final MoneyPerArea v)
535     {
536         return new MoneyPerArea(this.si * v.si, MoneyPerAreaUnit.getStandardMoneyPerAreaUnit());
537     }
538 
539     /**
540      * Calculate the multiplication of Dimensionless and MoneyPerEnergy, which results in a MoneyPerEnergy scalar.
541      * @param v Dimensionless scalar
542      * @return MoneyPerEnergy scalar as a multiplication of Dimensionless and MoneyPerEnergy
543      */
544     public final MoneyPerEnergy multiplyBy(final MoneyPerEnergy v)
545     {
546         return new MoneyPerEnergy(this.si * v.si, MoneyPerEnergyUnit.getStandardMoneyPerEnergyUnit());
547     }
548 
549     /**
550      * Calculate the multiplication of Dimensionless and MoneyPerLength, which results in a MoneyPerLength scalar.
551      * @param v Dimensionless scalar
552      * @return MoneyPerLength scalar as a multiplication of Dimensionless and MoneyPerLength
553      */
554     public final MoneyPerLength multiplyBy(final MoneyPerLength v)
555     {
556         return new MoneyPerLength(this.si * v.si, MoneyPerLengthUnit.getStandardMoneyPerLengthUnit());
557     }
558 
559     /**
560      * Calculate the multiplication of Dimensionless and MoneyPerMass, which results in a MoneyPerMass scalar.
561      * @param v Dimensionless scalar
562      * @return MoneyPerMass scalar as a multiplication of Dimensionless and MoneyPerMass
563      */
564     public final MoneyPerMass multiplyBy(final MoneyPerMass v)
565     {
566         return new MoneyPerMass(this.si * v.si, MoneyPerMassUnit.getStandardMoneyPerMassUnit());
567     }
568 
569     /**
570      * Calculate the multiplication of Dimensionless and MoneyPerDuration, which results in a MoneyPerDuration scalar.
571      * @param v Dimensionless scalar
572      * @return MoneyPerDuration scalar as a multiplication of Dimensionless and MoneyPerDuration
573      */
574     public final MoneyPerDuration multiplyBy(final MoneyPerDuration v)
575     {
576         return new MoneyPerDuration(this.si * v.si, MoneyPerDurationUnit.getStandardMoneyPerDurationUnit());
577     }
578 
579     /**
580      * Calculate the multiplication of Dimensionless and MoneyPerVolume, which results in a MoneyPerVolume scalar.
581      * @param v Dimensionless scalar
582      * @return MoneyPerVolume scalar as a multiplication of Dimensionless and MoneyPerVolume
583      */
584     public final MoneyPerVolume multiplyBy(final MoneyPerVolume v)
585     {
586         return new MoneyPerVolume(this.si * v.si, MoneyPerVolumeUnit.getStandardMoneyPerVolumeUnit());
587     }
588 
589     /**
590      * Calculate the multiplication of Dimensionless and Power, which results in a Power scalar.
591      * @param v Dimensionless scalar
592      * @return Power scalar as a multiplication of Dimensionless and Power
593      */
594     public final Power multiplyBy(final Power v)
595     {
596         return new Power(this.si * v.si, PowerUnit.SI);
597     }
598 
599     /**
600      * Calculate the multiplication of Dimensionless and Pressure, which results in a Pressure scalar.
601      * @param v Dimensionless scalar
602      * @return Pressure scalar as a multiplication of Dimensionless and Pressure
603      */
604     public final Pressure multiplyBy(final Pressure v)
605     {
606         return new Pressure(this.si * v.si, PressureUnit.SI);
607     }
608 
609     /**
610      * Calculate the multiplication of Dimensionless and Speed, which results in a Speed scalar.
611      * @param v Dimensionless scalar
612      * @return Speed scalar as a multiplication of Dimensionless and Speed
613      */
614     public final Speed multiplyBy(final Speed v)
615     {
616         return new Speed(this.si * v.si, SpeedUnit.SI);
617     }
618 
619     /**
620      * Calculate the multiplication of Dimensionless and Temperature, which results in a Temperature scalar.
621      * @param v Dimensionless scalar
622      * @return Temperature scalar as a multiplication of Dimensionless and Temperature
623      */
624     public final Temperature multiplyBy(final Temperature v)
625     {
626         return new Temperature(this.si * v.si, TemperatureUnit.SI);
627     }
628 
629     /**
630      * Calculate the multiplication of Dimensionless and Duration, which results in a Duration scalar.
631      * @param v Dimensionless scalar
632      * @return Duration scalar as a multiplication of Dimensionless and Duration
633      */
634     public final Duration multiplyBy(final Duration v)
635     {
636         return new Duration(this.si * v.si, DurationUnit.SI);
637     }
638 
639     /**
640      * Calculate the multiplication of Dimensionless and Torque, which results in a Torque scalar.
641      * @param v Dimensionless scalar
642      * @return Torque scalar as a multiplication of Dimensionless and Torque
643      */
644     public final Torque multiplyBy(final Torque v)
645     {
646         return new Torque(this.si * v.si, TorqueUnit.SI);
647     }
648 
649     /**
650      * Calculate the multiplication of Dimensionless and Volume, which results in a Volume scalar.
651      * @param v Dimensionless scalar
652      * @return Volume scalar as a multiplication of Dimensionless and Volume
653      */
654     public final Volume multiplyBy(final Volume v)
655     {
656         return new Volume(this.si * v.si, VolumeUnit.SI);
657     }
658 
659     /**
660      * Calculate the division of Dimensionless and Length, which results in a LinearDensity scalar.
661      * @param v Dimensionless scalar
662      * @return LinearDensity scalar as a division of Dimensionless and Length
663      */
664     public final LinearDensity divideBy(final Length v)
665     {
666         return new LinearDensity(this.si / v.si, LinearDensityUnit.SI);
667     }
668 
669     /**
670      * Calculate the division of Dimensionless and LinearDensity, which results in a Length scalar.
671      * @param v Dimensionless scalar
672      * @return Length scalar as a division of Dimensionless and LinearDensity
673      */
674     public final Length divideBy(final LinearDensity v)
675     {
676         return new Length(this.si / v.si, LengthUnit.SI);
677     }
678 
679     /**
680      * Calculate the division of Dimensionless and Duration, which results in a Frequency scalar.
681      * @param v Dimensionless scalar
682      * @return Frequency scalar as a division of Dimensionless and Duration
683      */
684     public final Frequency divideBy(final Duration v)
685     {
686         return new Frequency(this.si / v.si, FrequencyUnit.SI);
687     }
688 
689     /**
690      * Calculate the division of Dimensionless and Frequency, which results in a Duration scalar.
691      * @param v Dimensionless scalar
692      * @return Duration scalar as a division of Dimensionless and Frequency
693      */
694     public final Duration divideBy(final Frequency v)
695     {
696         return new Duration(this.si / v.si, DurationUnit.SI);
697     }
698 
699 }