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Creative Commons Public Domain Dedication

KUnits

Units of measure in Kotlin.

KUnits

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This project covers historical, fantasy, or whimsical units: Metric units are uninteresting except that being based on base 10, they are not representable by binary computers (the French revolutionaries overlooked that). And this project is fun.

USD is provided as a practical example. English units are a good example of conversions and rational fractions. This library shows that typing and generics improve the experience for others in any domain—focusing on units of measure—but the lesson is general when providing code for others. See Main.kt for examples that caller does not code for generics.

The "cow mug" for the project does not represent anything unless you're Scottish which I am not. Still ... "ku-nits" is a bit like "coo-nits": fleas on cows12. Working with less common units is like fleas on cows: managed and to avoid unless necessary. It is not so cavalier when uncommon units of measure are central. Hopefully this project demonstrates a sensible, idiomatic means for unit conversions, and helps you manage irritations, and learn more about Kotlin generics. 🐮

Try it

After cloning the project, try ./run for a demonstration.

The build is vanilla Maven, and includes a ./mvnw (wrapper) script.

$ ./mvnw clean verify
$ ./run  # a demo
# Or:
$ earthly +build
$ earthly +run  # a demo

Test coverage is 100% for lines, branches, and instructions. Checkout CI builds to see what happens.

Systems of units

Kotlin rational

Kunits depends on an older version of kotlin-rational to represent "big" rationals (infinite precision fractions limited only by your computing environment). All example unit conversions in this project are "small" precision (ratios). Conversions among units relies on rational (finite) ratios.

Presently there is no published dependency for kotlin-rational (a project of this author). To build KUnits, install locally from the kotlin-rational-2.2.0 tag.

Platform

This code targets JDK 21.

Design

DSL

Creating measures of units

There are also aliases for some units such as 1.tuppence is identical to 1.twopence.

Arithmetic

Converting measures into other units

Pretty printing

API

Included for Measure are the usual simple arithmetic operations.

The exemplar of quirkiness is traditional English units:

Among the challenges with the English (British) systems of units is that coinages available in historic periods do not always align with expression of value. For example, the crown is a coin worth 5 shillings, however, it is notated as "5s" (5 shillings) rather as number of crowns as it was simply a coin, not a basis in the notation of value. The same is true for many or most historic coinage systems though the English (British) system is most prominent.

An example of a historic English coin not represented is the gold penny (20 pence in its time).

[NOTE!] No attempt is made to distinguish English and British systems of measurements. The intermingled history of the British Isles is complex, and coinage changed dramatically in place and time (such as UK decimalisation in 1971). A complete system would provide a location/date-dependent calendar of coinage which is beyond the scope of this project. I do the best I can; suggestions welcome.

[NOTE!] Further, values of several coins changed over time, and coins were issued with the same value as earlier coins while being used alongside each other (changing value and availability of silver and gold; changes in rulership issuing coins; etc), and England/Britain/UK redominated several times.

This project usually uses a latter value for coins, or the most used value of coinage, based on Internet reading; I am no historian or numismatist, but I enjoy the challenge of representing the mishmash of this coinage in software. Repeating: I do the best I can; suggestions welcome.

Unreal systems of units for testing:

Below is the source for the Martian system of units showing the minimal code needed for setting up a system of units:

object Martian : System<Martian>("Martian")

infix fun <
    V : Units<Length, Metasyntactic, V, N>,
    N : Measure<Length, Metasyntactic, V, N>
    > Measure<Length, Martian, *, *>.intoMetasyntactic(
    other: V
) = into(other) {
    it * (1 over 3)
}

class Grok private constructor(value: FixedBigRational) :
    Measure<Length, Martian, Groks, Grok>(Groks, value) {
    companion object Groks : Units<Length, Martian, Groks, Grok>(
        Length,
        Martian,
        "grok",
        ONE
    ) {
        override fun new(quantity: FixedBigRational) = Grok(quantity)
        override fun format(quantity: FixedBigRational) = "$quantity groks"
    }
}

val FixedBigRational.groks get() = Groks.new(this)
val Long.groks get() = (this over 1).groks
val Int.groks get() = (this over 1).groks

For convenience, systems of units may provide conversions into other systems:

infix fun <
    V : Units<Length, Martian, V, N>,
    N : Measure<Length, Martian, V, N>
    > MetasyntacticLength<*, *>.intoMartian(
    other: V
) = into(other) {
    it * (3 over 1)
}

Typically, the base type for units of measure (MartialLengths, above) is sealed as there is a known, fixed number of units. However, OtherDnDDenominations is an example of extending a kind of units.

Also, see ShoeSize for an example of creating new kinds of units.

Use of generics

Generic signatures pervade types and function signatures. The standard ordering is:

  • K "kind" — is this length, weight, etc.
  • S "system" ‐ is this English units, etc.
  • U "unit" ‐ what unit is this?
  • M "measure" ‐ how many units?

Considerations

Syntactic sugar

Syntactic sugar causes cancer of the semicolon.
— Alan J. Perlis

There are too many options for "nice" Kotlin syntactic sugar. The most "natural English" approach might be:

2.feet in Inches // *not* valid Kotlin

However, this is a compilation failure as the "in" needs to be "`in`" since in is a keyword in Kotlin.

Another might be:

2.feet to Inches

However, this overloads the universal to function for creating Pairs.

Or consider:

2.feet as Inches

Unfortunately, as is an existing keyword for type casting.

The chosen compromise is an infix into function, and a more general version for conversions into unit units of the same kind in another system.

2.feet into Inches

Though infix functions do not chain nicely:

2.feet into Inches shouldBe 24.inches // what you expect
2.feet shouldBe 24.inches into Feet // does not compile

More readable might be:

(2.feet into Inches) shouldBe 24.inches // parentheses for readability
2.feet shouldBe (24.inches into Feet) // parentheses needed to compile
2.feet / Inches shouldBe 24.inches // operator binds more tightly than infix
2.feet shouldBe 24.inches / Feet // correct, but harder to read

And parentheses are required for correct binding order in some cases:

24.inches shouldBe (2.feet into Inches)

One may skip syntactic sugar altogether:

Feet(2).into(Inches)

At the cost of losing some pleasantness of Kotlin.

Inline

The trivial extension properties for converting Int, Long, and FixedBigRational into units could be inline (as well as several others). However, JaCoCo's Kotlin inline functions are not marked as covered lowers test coverage, and Kover's Feature request: Equivalent Maven plugin does not support Maven.

Following The Rules, inline is removed for now, until JaCoCo resolves this issue.

Mixing compilation errors with runtime errors for the same problem

Incompatible unit conversions are inconsistent. The two cases are:

  1. Converting between units of different kinds (say, lengths and weights) in the same system of units
  2. Converting between units of the same kind (say, lengths) but in different systems of units

Behavior:

  • Operations between incompatible units do not compile. This is by design. For example, you cannot convert feet into pounds.
// Does not compile: feet and pounds are different kinds of units
1.feet into Pounds
// Does not compile: both are lengths, but of different systems:
1.smoots into Inches
// This would both compile and run successfully:
1.smoots intoEnglish Inches

Reading

Footnotes

  1. Coo vs cow: (coo not cow though code often contains hobgoblins). ↩

  2. Nit is here meant the annoying spot, speck, or code petruberance, not 1 candela/m2. This is a project on lesser known units. ↩

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Units of measurement in Kotlin

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