package org.djunits.value.vdouble.scalar;
   
   import java.util.Locale;
   
   import org.djunits.unit.AbsorbedDoseUnit;
   import org.djunits.unit.AccelerationUnit;
   import org.djunits.unit.AmountOfSubstanceUnit;
   import org.djunits.unit.AngleUnit;
   import org.djunits.unit.AreaUnit;
  import org.djunits.unit.CatalyticActivityUnit;
  import org.djunits.unit.DensityUnit;
  import org.djunits.unit.DimensionlessUnit;
  import org.djunits.unit.DurationUnit;
  import org.djunits.unit.ElectricalCapacitanceUnit;
  import org.djunits.unit.ElectricalChargeUnit;
  import org.djunits.unit.ElectricalConductanceUnit;
  import org.djunits.unit.ElectricalCurrentUnit;
  import org.djunits.unit.ElectricalInductanceUnit;
  import org.djunits.unit.ElectricalPotentialUnit;
  import org.djunits.unit.ElectricalResistanceUnit;
  import org.djunits.unit.EnergyUnit;
  import org.djunits.unit.EquivalentDoseUnit;
  import org.djunits.unit.FlowMassUnit;
  import org.djunits.unit.FlowVolumeUnit;
  import org.djunits.unit.ForceUnit;
  import org.djunits.unit.FrequencyUnit;
  import org.djunits.unit.IlluminanceUnit;
  import org.djunits.unit.LengthUnit;
  import org.djunits.unit.LinearDensityUnit;
  import org.djunits.unit.LuminousFluxUnit;
  import org.djunits.unit.LuminousIntensityUnit;
  import org.djunits.unit.MagneticFluxDensityUnit;
  import org.djunits.unit.MagneticFluxUnit;
  import org.djunits.unit.MassUnit;
  import org.djunits.unit.PowerUnit;
  import org.djunits.unit.PressureUnit;
  import org.djunits.unit.RadioActivityUnit;
  import org.djunits.unit.SolidAngleUnit;
  import org.djunits.unit.SpeedUnit;
  import org.djunits.unit.TemperatureUnit;
  import org.djunits.unit.TorqueUnit;
  import org.djunits.unit.VolumeUnit;
  import org.djunits.value.function.DimensionlessFunctions;
  import org.djunits.value.vdouble.scalar.base.DoubleScalarRel;
  import org.djutils.base.NumberParser;
  import org.djutils.exceptions.Throw;
  
  import jakarta.annotation.Generated;
  
  /**
   * Easy access methods for the Dimensionless DoubleScalar, which is relative by definition.
   * <p>
   * Copyright (c) 2013-2025 Delft University of Technology, PO Box 5, 2600 AA, Delft, the Netherlands. All rights reserved. <br>
   * BSD-style license. See <a href="https://djunits.org/docs/license.html">DJUNITS License</a>.
   * </p>
   * @author <a href="https://www.tudelft.nl/averbraeck">Alexander Verbraeck</a>
   * @author <a href="https://www.tudelft.nl/staff/p.knoppers/">Peter Knoppers</a>
   */
  @Generated(value = "org.djunits.generator.GenerateDJUNIT", date = "2025-09-06T15:16:28.380798Z")
  public class Dimensionless extends DoubleScalarRel<DimensionlessUnit, Dimensionless>
          implements DimensionlessFunctions<DimensionlessUnit, Dimensionless>
  {
      /** */
      private static final long serialVersionUID = 20150905L;
  
      /** Constant with value zero. */
      public static final Dimensionless ZERO = new Dimensionless(0.0, DimensionlessUnit.SI);
  
      /** Constant with value one. */
      public static final Dimensionless ONE = new Dimensionless(1.0, DimensionlessUnit.SI);
  
      /** Constant with value NaN. */
      @SuppressWarnings("checkstyle:constantname")
      public static final Dimensionless NaN = new Dimensionless(Double.NaN, DimensionlessUnit.SI);
  
      /** Constant with value POSITIVE_INFINITY. */
      public static final Dimensionless POSITIVE_INFINITY = new Dimensionless(Double.POSITIVE_INFINITY, DimensionlessUnit.SI);
  
      /** Constant with value NEGATIVE_INFINITY. */
      public static final Dimensionless NEGATIVE_INFINITY = new Dimensionless(Double.NEGATIVE_INFINITY, DimensionlessUnit.SI);
  
      /** Constant with value MAX_VALUE. */
      public static final Dimensionless POS_MAXVALUE = new Dimensionless(Double.MAX_VALUE, DimensionlessUnit.SI);
  
      /** Constant with value -MAX_VALUE. */
      public static final Dimensionless NEG_MAXVALUE = new Dimensionless(-Double.MAX_VALUE, DimensionlessUnit.SI);
  
      /**
       * Construct Dimensionless scalar with a unit.
       * @param value the double value, expressed in the given unit
       * @param unit unit for the double value
       */
      public Dimensionless(final double value, final DimensionlessUnit unit)
      {
          super(value, unit);
      }
  
      /**
       * Construct Dimensionless scalar.
      * @param value Scalar from which to construct this instance
      */
     public Dimensionless(final Dimensionless value)
     {
         super(value);
     }
 
     @Override
     public final Dimensionless instantiateRel(final double value, final DimensionlessUnit unit)
     {
         return new Dimensionless(value, unit);
     }
 
     /**
      * Construct Dimensionless scalar based on an SI value.
      * @param value the double value in SI units
      * @return the new scalar with the SI value
      */
     public static final Dimensionless ofSI(final double value)
     {
         return new Dimensionless(value, DimensionlessUnit.SI);
     }
 
     /**
      * Interpolate between two values. Note that the first value does not have to be smaller than the second.
      * @param zero the value at a ratio of zero
      * @param one the value at a ratio of one
      * @param ratio the ratio between 0 and 1, inclusive
      * @return a Dimensionless at the given ratio between 0 and 1
      */
     public static Dimensionless interpolate(final Dimensionless zero, final Dimensionless one, final double ratio)
     {
         Throw.when(ratio < 0.0 || ratio > 1.0, IllegalArgumentException.class,
                 "ratio for interpolation should be between 0 and 1, but is %f", ratio);
         return new Dimensionless(zero.getInUnit() * (1 - ratio) + one.getInUnit(zero.getDisplayUnit()) * ratio,
                 zero.getDisplayUnit());
     }
 
     /**
      * Return the maximum value of two relative scalars.
      * @param r1 the first scalar
      * @param r2 the second scalar
      * @return the maximum value of two relative scalars
      */
     public static Dimensionless max(final Dimensionless r1, final Dimensionless r2)
     {
         return r1.gt(r2) ? r1 : r2;
     }
 
     /**
      * Return the maximum value of more than two relative scalars.
      * @param r1 the first scalar
      * @param r2 the second scalar
      * @param rn the other scalars
      * @return the maximum value of more than two relative scalars
      */
     public static Dimensionless max(final Dimensionless r1, final Dimensionless r2, final Dimensionless... rn)
     {
         Dimensionless maxr = r1.gt(r2) ? r1 : r2;
         for (Dimensionless r : rn)
         {
             if (r.gt(maxr))
             {
                 maxr = r;
             }
         }
         return maxr;
     }
 
     /**
      * Return the minimum value of two relative scalars.
      * @param r1 the first scalar
      * @param r2 the second scalar
      * @return the minimum value of two relative scalars
      */
     public static Dimensionless min(final Dimensionless r1, final Dimensionless r2)
     {
         return r1.lt(r2) ? r1 : r2;
     }
 
     /**
      * Return the minimum value of more than two relative scalars.
      * @param r1 the first scalar
      * @param r2 the second scalar
      * @param rn the other scalars
      * @return the minimum value of more than two relative scalars
      */
     public static Dimensionless min(final Dimensionless r1, final Dimensionless r2, final Dimensionless... rn)
     {
         Dimensionless minr = r1.lt(r2) ? r1 : r2;
         for (Dimensionless r : rn)
         {
             if (r.lt(minr))
             {
                 minr = r;
             }
         }
         return minr;
     }
 
     /**
      * Returns a Dimensionless representation of a textual representation of a value with a unit. The String representation that
      * can be parsed is the double value in the unit, followed by a localized or English abbreviation of the unit. Spaces are
      * allowed, but not required, between the value and the unit.
      * @param text the textual representation to parse into a Dimensionless
      * @return the Scalar representation of the value in its unit
      * @throws IllegalArgumentException when the text cannot be parsed
      * @throws NullPointerException when the text argument is null
      */
     public static Dimensionless valueOf(final String text)
     {
         Throw.whenNull(text, "Error parsing Dimensionless: text to parse is null");
         Throw.when(text.length() == 0, IllegalArgumentException.class, "Error parsing Dimensionless: empty text to parse");
         try
         {
             NumberParser numberParser = new NumberParser().lenient().trailing();
             double d = numberParser.parseDouble(text);
             String unitString = text.substring(numberParser.getTrailingPosition()).trim();
             Throw.when(unitString.length() != 0, IllegalArgumentException.class, "Dimensionless should not have unit %s",
                     unitString);
             return new Dimensionless(d, DimensionlessUnit.SI);
         }
         catch (Exception exception)
         {
             throw new IllegalArgumentException(
                     "Error parsing Dimensionless from " + text + " using Locale " + Locale.getDefault(Locale.Category.FORMAT),
                     exception);
         }
     }
 
     /**
      * Returns a Dimensionless based on a value and the textual representation of the unit, which can be localized.
      * @param value the value to use
      * @param unitString the textual representation of the unit
      * @return the Scalar representation of the value in its unit
      * @throws IllegalArgumentException when the unit cannot be parsed or is incorrect
      * @throws NullPointerException when the unitString argument is null
      */
     public static Dimensionless of(final double value, final String unitString)
     {
         Throw.whenNull(unitString, "Error parsing Dimensionless: unitString is null");
         Throw.when(unitString.trim().length() != 0, IllegalArgumentException.class,
                 "Error parsing Dimensionless: non-empty unitString");
         DimensionlessUnit unit = DimensionlessUnit.SI;
         return new Dimensionless(value, unit);
     }
 
     @Override
     public String toStringSIPrefixed(final int smallestPower, final int biggestPower)
     {
         return toString();
     }
 
     @Override
     public final Dimensionless acos()
     {
         return instantiateRel(Math.acos(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless asin()
     {
         return instantiateRel(Math.asin(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless atan()
     {
         return instantiateRel(Math.atan(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless cbrt()
     {
         return instantiateRel(Math.cbrt(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless cos()
     {
         return instantiateRel(Math.cos(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless cosh()
     {
         return instantiateRel(Math.cosh(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless exp()
     {
         return instantiateRel(Math.exp(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless expm1()
     {
         return instantiateRel(Math.expm1(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless log()
     {
         return instantiateRel(Math.log(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless log10()
     {
         return instantiateRel(Math.log10(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless log1p()
     {
         return instantiateRel(Math.log1p(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless pow(final double x)
     {
         return instantiateRel(Math.pow(getInUnit(), x), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless signum()
     {
         return instantiateRel(Math.signum(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless sin()
     {
         return instantiateRel(Math.sin(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless sinh()
     {
         return instantiateRel(Math.sinh(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless sqrt()
     {
         return instantiateRel(Math.sqrt(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless tan()
     {
         return instantiateRel(Math.tan(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless tanh()
     {
         return instantiateRel(Math.tanh(getInUnit()), getDisplayUnit());
     }
 
     @Override
     public final Dimensionless inv()
     {
         return instantiateRel(1.0 / getInUnit(), getDisplayUnit());
     }
 
     /**
      * Calculate the division of Dimensionless and Dimensionless, which results in a Dimensionless scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and Dimensionless
      */
     public final Dimensionless divide(final Dimensionless v)
     {
         return new Dimensionless(this.si / v.si, DimensionlessUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and AbsorbedDose, which results in a AbsorbedDose scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and AbsorbedDose
      */
     public final AbsorbedDose times(final AbsorbedDose v)
     {
         return new AbsorbedDose(this.si * v.si, AbsorbedDoseUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Acceleration, which results in a Acceleration scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Acceleration
      */
     public final Acceleration times(final Acceleration v)
     {
         return new Acceleration(this.si * v.si, AccelerationUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and AmountOfSubstance, which results in a AmountOfSubstance scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and AmountOfSubstance
      */
     public final AmountOfSubstance times(final AmountOfSubstance v)
     {
         return new AmountOfSubstance(this.si * v.si, AmountOfSubstanceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Angle, which results in a Angle scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Angle
      */
     public final Angle times(final Angle v)
     {
         return new Angle(this.si * v.si, AngleUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and SolidAngle, which results in a SolidAngle scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and SolidAngle
      */
     public final SolidAngle times(final SolidAngle v)
     {
         return new SolidAngle(this.si * v.si, SolidAngleUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Area, which results in a Area scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Area
      */
     public final Area times(final Area v)
     {
         return new Area(this.si * v.si, AreaUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and CatalyticActivity, which results in a CatalyticActivity scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and CatalyticActivity
      */
     public final CatalyticActivity times(final CatalyticActivity v)
     {
         return new CatalyticActivity(this.si * v.si, CatalyticActivityUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Density, which results in a Density scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Density
      */
     public final Density times(final Density v)
     {
         return new Density(this.si * v.si, DensityUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Dimensionless, which results in a Dimensionless scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Dimensionless
      */
     public final Dimensionless times(final Dimensionless v)
     {
         return new Dimensionless(this.si * v.si, DimensionlessUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalCapacitance, which results in a ElectricalCapacitance scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalCapacitance
      */
     public final ElectricalCapacitance times(final ElectricalCapacitance v)
     {
         return new ElectricalCapacitance(this.si * v.si, ElectricalCapacitanceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalCharge, which results in a ElectricalCharge scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalCharge
      */
     public final ElectricalCharge times(final ElectricalCharge v)
     {
         return new ElectricalCharge(this.si * v.si, ElectricalChargeUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalConductance, which results in a ElectricalConductance scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalConductance
      */
     public final ElectricalConductance times(final ElectricalConductance v)
     {
         return new ElectricalConductance(this.si * v.si, ElectricalConductanceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalCurrent, which results in a ElectricalCurrent scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalCurrent
      */
     public final ElectricalCurrent times(final ElectricalCurrent v)
     {
         return new ElectricalCurrent(this.si * v.si, ElectricalCurrentUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalInductance, which results in a ElectricalInductance scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalInductance
      */
     public final ElectricalInductance times(final ElectricalInductance v)
     {
         return new ElectricalInductance(this.si * v.si, ElectricalInductanceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalPotential, which results in a ElectricalPotential scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalPotential
      */
     public final ElectricalPotential times(final ElectricalPotential v)
     {
         return new ElectricalPotential(this.si * v.si, ElectricalPotentialUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and ElectricalResistance, which results in a ElectricalResistance scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and ElectricalResistance
      */
     public final ElectricalResistance times(final ElectricalResistance v)
     {
         return new ElectricalResistance(this.si * v.si, ElectricalResistanceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Energy, which results in a Energy scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Energy
      */
     public final Energy times(final Energy v)
     {
         return new Energy(this.si * v.si, EnergyUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and EquivalentDose, which results in a EquivalentDose scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and EquivalentDose
      */
     public final EquivalentDose times(final EquivalentDose v)
     {
         return new EquivalentDose(this.si * v.si, EquivalentDoseUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and FlowMass, which results in a FlowMass scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and FlowMass
      */
     public final FlowMass times(final FlowMass v)
     {
         return new FlowMass(this.si * v.si, FlowMassUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and FlowVolume, which results in a FlowVolume scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and FlowVolume
      */
     public final FlowVolume times(final FlowVolume v)
     {
         return new FlowVolume(this.si * v.si, FlowVolumeUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Force, which results in a Force scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Force
      */
     public final Force times(final Force v)
     {
         return new Force(this.si * v.si, ForceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Frequency, which results in a Frequency scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Frequency
      */
     public final Frequency times(final Frequency v)
     {
         return new Frequency(this.si * v.si, FrequencyUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Illuminance, which results in a Illuminance scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Illuminance
      */
     public final Illuminance times(final Illuminance v)
     {
         return new Illuminance(this.si * v.si, IlluminanceUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Length, which results in a Length scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Length
      */
     public final Length times(final Length v)
     {
         return new Length(this.si * v.si, LengthUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and LinearDensity, which results in a LinearDensity scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and LinearDensity
      */
     public final LinearDensity times(final LinearDensity v)
     {
         return new LinearDensity(this.si * v.si, LinearDensityUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and LuminousFlux, which results in a LuminousFlux scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and LuminousFlux
      */
     public final LuminousFlux times(final LuminousFlux v)
     {
         return new LuminousFlux(this.si * v.si, LuminousFluxUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and LuminousIntensity, which results in a LuminousIntensity scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and LuminousIntensity
      */
     public final LuminousIntensity times(final LuminousIntensity v)
     {
         return new LuminousIntensity(this.si * v.si, LuminousIntensityUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and MagneticFluxDensity, which results in a MagneticFluxDensity scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and MagneticFluxDensity
      */
     public final MagneticFluxDensity times(final MagneticFluxDensity v)
     {
         return new MagneticFluxDensity(this.si * v.si, MagneticFluxDensityUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and MagneticFlux, which results in a MagneticFlux scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and MagneticFlux
      */
     public final MagneticFlux times(final MagneticFlux v)
     {
         return new MagneticFlux(this.si * v.si, MagneticFluxUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Mass, which results in a Mass scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Mass
      */
     public final Mass times(final Mass v)
     {
         return new Mass(this.si * v.si, MassUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Power, which results in a Power scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Power
      */
     public final Power times(final Power v)
     {
         return new Power(this.si * v.si, PowerUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Pressure, which results in a Pressure scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Pressure
      */
     public final Pressure times(final Pressure v)
     {
         return new Pressure(this.si * v.si, PressureUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and RadioActivity, which results in a RadioActivity scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and RadioActivity
      */
     public final RadioActivity times(final RadioActivity v)
     {
         return new RadioActivity(this.si * v.si, RadioActivityUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Speed, which results in a Speed scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Speed
      */
     public final Speed times(final Speed v)
     {
         return new Speed(this.si * v.si, SpeedUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Temperature, which results in a Temperature scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Temperature
      */
     public final Temperature times(final Temperature v)
     {
         return new Temperature(this.si * v.si, TemperatureUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Duration, which results in a Duration scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Duration
      */
     public final Duration times(final Duration v)
     {
         return new Duration(this.si * v.si, DurationUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Torque, which results in a Torque scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Torque
      */
     public final Torque times(final Torque v)
     {
         return new Torque(this.si * v.si, TorqueUnit.SI);
     }
 
     /**
      * Calculate the multiplication of Dimensionless and Volume, which results in a Volume scalar.
      * @param v scalar
      * @return scalar as a multiplication of Dimensionless and Volume
      */
     public final Volume times(final Volume v)
     {
         return new Volume(this.si * v.si, VolumeUnit.SI);
     }
 
     /**
      * Calculate the division of Dimensionless and Length, which results in a LinearDensity scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and Length
      */
     public final LinearDensity divide(final Length v)
     {
         return new LinearDensity(this.si / v.si, LinearDensityUnit.SI);
     }
 
     /**
      * Calculate the division of Dimensionless and LinearDensity, which results in a Length scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and LinearDensity
      */
     public final Length divide(final LinearDensity v)
     {
         return new Length(this.si / v.si, LengthUnit.SI);
     }
 
     /**
      * Calculate the division of Dimensionless and Duration, which results in a Frequency scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and Duration
      */
     public final Frequency divide(final Duration v)
     {
         return new Frequency(this.si / v.si, FrequencyUnit.SI);
     }
 
     /**
      * Calculate the division of Dimensionless and Frequency, which results in a Duration scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and Frequency
      */
     public final Duration divide(final Frequency v)
     {
         return new Duration(this.si / v.si, DurationUnit.SI);
     }
 
     /**
      * Calculate the division of Dimensionless and ElectricalConductance, which results in a ElectricalResistance scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and ElectricalConductance
      */
     public final ElectricalResistance divide(final ElectricalConductance v)
     {
         return new ElectricalResistance(this.si / v.si, ElectricalResistanceUnit.SI);
     }
 
     /**
      * Calculate the division of Dimensionless and ElectricalResistance, which results in a ElectricalConductance scalar.
      * @param v scalar
      * @return scalar as a division of Dimensionless and ElectricalResistance
      */
     public final ElectricalConductance divide(final ElectricalResistance v)
     {
         return new ElectricalConductance(this.si / v.si, ElectricalConductanceUnit.SI);
     }
 
     @Override
     public Dimensionless reciprocal()
     {
         return Dimensionless.ofSI(1.0 / this.si);
     }
 
     /**
      * Multiply two scalars that result in a scalar of type Dimensionless.
      * @param scalar1 the first scalar
      * @param scalar2 the second scalar
      * @return the multiplication of both scalars as an instance of Dimensionless
      */
     public static Dimensionless multiply(final DoubleScalarRel<?, ?> scalar1, final DoubleScalarRel<?, ?> scalar2)
     {
         Throw.whenNull(scalar1, "scalar1 cannot be null");
         Throw.whenNull(scalar2, "scalar2 cannot be null");
         Throw.when(
                 !scalar1.getDisplayUnit().getQuantity().getSiDimensions()
                         .plus(scalar2.getDisplayUnit().getQuantity().getSiDimensions())
                         .equals(DimensionlessUnit.BASE.getSiDimensions()),
                 IllegalArgumentException.class, "Multiplying %s by %s does not result in instance of type Dimensionless",
                 scalar1.toDisplayString(), scalar2.toDisplayString());
         return new Dimensionless(scalar1.si * scalar2.si, DimensionlessUnit.SI);
     }
 
     /**
      * Divide two scalars that result in a scalar of type Dimensionless.
      * @param scalar1 the first scalar
      * @param scalar2 the second scalar
      * @return the division of scalar1 by scalar2 as an instance of Dimensionless
      */
     public static Dimensionless divide(final DoubleScalarRel<?, ?> scalar1, final DoubleScalarRel<?, ?> scalar2)
     {
         Throw.whenNull(scalar1, "scalar1 cannot be null");
         Throw.whenNull(scalar2, "scalar2 cannot be null");
         Throw.when(
                 !scalar1.getDisplayUnit().getQuantity().getSiDimensions()
                         .minus(scalar2.getDisplayUnit().getQuantity().getSiDimensions())
                         .equals(DimensionlessUnit.BASE.getSiDimensions()),
                 IllegalArgumentException.class, "Dividing %s by %s does not result in an instance of type Dimensionless",
                 scalar1.toDisplayString(), scalar2.toDisplayString());
         return new Dimensionless(scalar1.si / scalar2.si, DimensionlessUnit.SI);
     }
 
 }