SIUnitsArithmetic 1.3.0

SI Units library with arithmetic capabilities

SIUnitsArithmetic defines metric system units and provides related arithmetic operations including unit to unit multiplication even with compound units of any combination of basic units, resulting in higher or lower order units (m², 1/m or m/s).

Derived units compund of any combination of basic units (length, time, mass, electric current) are supported, including Newton and Joule are also included.

The demand for such libraries has grown alongside the development of engineering programs that require specific numbers with specified units. My solution eliminates the challenge of managing units by allowing you to focus on the metric types, such as MetricLength or MetricTime. The library takes care of the underlying mathematics, seamlessly handling unit conversions and enabling operations like unit to unit multiplication, resulting in higher or lower order units like m² or 1/m. Consider the Square class below:

Square sq = new Square(2.5.km(), 4.3.km(), 10.005.m());
Console.WriteLine(sq.Volume());

class Square
{
    MetricLength _length;
    MetricLength _width;
    MetricLength -height;

    public Square(MetricLength l, MetricLength w, MetricLength h)
    {
        _length = l; _width = w; _height = h;
    }
    public Metric Volume()
    {
        return _length * _width * _height;
    }
}

The units of the inputs of the constructor won't be a problem anymore. The same class can handle the values with various units (mm, m, cm) and return the same result with correct unit.

Extensiblity

Now custom units can be defined by the users of this library. Example of a Customunit:

// Special unit has to be registered
// call this method only once in the application
// derived degree indicates the exponents of length, time and mass unit components of the custom derived unit.
public void CreateCustomSpecialUnit()
        {
            CustomUnit.RegisterSpecialUnit(new DerivedDegree(2, -2, 2,0), CustomUnit.Instance);
            var customUnit = DerivedUnit.New(2.m(2), 3.second(-2), 3.kg(2));
            Assert.IsTrue(customUnit is CustomUnit);
            var custom2 = (400.mm(2) / 9.minute(2)) * 100.g(2);
            Assert.IsTrue(custom2 is CustomUnit);
        }

class CustomUnit : CustomSpecialUnit<CustomUnit>
    {
        public new string Symbol { get; } = "custom";
        CustomUnit(MetricLength l_unit, MetricTime t_unit, MetricMass m_unit, double scaler) : base(l_unit, t_unit, m_unit, scaler)
        {

        }

        protected override CustomUnit New(MetricLength l_unit, MetricTime t_unit, MetricMass m_unit, Ampere a_unit)
        {
            return new CustomUnit(l_unit, t_unit, m_unit, 1);
        }
        public static CustomUnit Instance(MetricLength l_unit, MetricTime t_unit, MetricMass m_unit, Ampere a_unit)
        {
            return new CustomUnit(l_unit, t_unit, m_unit, 1);
        }
    }

Examples

// now supports derived unit arithmetics and special units Joule and newton.
var speed = 2.km() / 1.hour();
var acc = speed / 1.hour();
var f2 = acc * 80.kg();
var e1 = f2 * 500.mm();
Joule e2 = (Joule)(f1 * 10.m());
Assert.IsTrue(e1 is Joule); //true
Assert.IsTrue(f2 is Newton); //true
Assert.IsTrue(e2 is Joule); //true

var speed = 1.m() / 1.second()
// 1 m/s

3.kg() / (2.m() * 2.second(2));
// 0,75 kg/m.s²

5.m(2) * 2.second(3) / 3.kg(2);
//10,000000000000002 m².s³/kg²

var m1 = 2.m();
// 2 m

m1.cm()
// 200 cm

var s1 = 3.hour();
// 3 s

s1.minute()
// 180 m

s1.second()
// 10800 s

var m12 = (2.mm() * 10.cm() + 4.m(2)).dm();
// 400,02000000000004 dm2

var m13 = 2 * m12;
// 800,0400000000001 dm2

var m14 = (m12 / 2).m();
// 2,0001 m²

Note: zero degree metrics [Metric(0)] are equal to scalers.

Conversions

Supported Units

Project Repository

https://github.com/kzlsahin/SiUnitsArithmetic

Contributions are welcome.

Lisance

This package is released under the MIT licence.