I like the clever use of the (:::) function to make its function argument 
(somewhat) look like a type.

On Friday, July 29, 2016 at 11:48:26 AM UTC-5, Anton Lorenzen wrote:
>
> I just created a small library for this:
> https://github.com/anfelor/elm-units
>
> It allows for time to be used like this:
> Units.Time.every (30 ::: milliseconds) Tick
>
> Am Donnerstag, 28. Juli 2016 20:42:44 UTC+2 schrieb John Bugner:
>>
>> In the time library ( 
>> package.elm-lang.org/packages/elm-lang/core/4.0.3/Time ), there are many 
>> functions under the "Units" heading. Under the function `millisecond`, it 
>> says:
>> >Units of time, making it easier to specify things like a half-second 
>> (500 * millisecond) without remembering Elm’s underlying units of time.
>> I find this underwhelming, because nothing forces me to use these unit 
>> functions. I could write `every 5 toMsg` and the compiler will not stop me. 
>> How long of a time am I actually specifying? Probably 5 milliseconds, 
>> because I infer that it's probably using the same unit as JavaScript, but I 
>> can't know for sure. A beginner might think 5 seconds, because it's the 
>> unit that has no prefixes, or 5 minutes if 5 minutes seems appropriate to 
>> what the application does. This is very bad; There should never be doubt 
>> about what unit is being used, and the compiler should enforce this unit 
>> correctness. Currently, Elm can't do this, because `Time` is just an alias 
>> for `Float`.
>>
>> To prevent this kind of error, I propose a new language construct that I 
>> call a "unit type". It would have the following properties:
>> (1) A definition that would look (very roughly) like this:
>> ```
>> type unit Time as Float
>>     = Second
>>     | Millisecond == Second 0.0001
>>     | Nanosecond == Millisecond 0.0001
>>     | Minute == Second 60
>>     | Hour == Minute 60
>>     | Day == Hour 24
>>     | Year == Day 365
>> ```
>>
>> The point of the definition is to:
>> (a) Provide an easy way to define different units that measure the same 
>> thing (in this case, time, but you could do the same thing for 
>> length/height/depth in either metric or US imperial units) as constructors.
>> (b) Tell how they are related to eachother. (A minute is 60 seconds, an 
>> hour is 60 minutes, etc.) The compiler would check that all relations of 
>> the constructors eventually flow to a single base unit (in this case, 
>> `Second`). A cycle would be disallowed.
>> (c) Tell what type the unit is based on (in this case, `Float`). (Perhaps 
>> non-number types would be disallowed.)
>>
>> (2) Given that `every` still has the same signature: `Time -> (Time -> 
>> msg) -> Sub msg`, `every 5 toMsg` would cause a compile-time error, because 
>> the types don't match; The function expects a number with a `Time` unit, 
>> but receives `5`, which is just a raw number (a number without any unit).
>> (3) When writing a function that has a parameter of type `Time`, pattern 
>> matching only matches the base unit constructor, not every constructor like 
>> a normal (data/enum) type. The compiler would automatically convert the 
>> other units to the base unit with the conversions that the programmer 
>> provided in the definition.
>> (4) Comparison, addition, and subtraction would be automatically 
>> implemented for the type, so two times of any combination of constructors 
>> could be compared, added, or subtracted with ease. `(Minute 5) - (Second 
>> 20) == (Millisecond 280000)` would "just work". "Time + Float" (or "Time + 
>> Length") would cause a compile-time error.
>> (5) Perhaps compound unit types like "Time^2" would be supported, so a 
>> "Time * Time" would yield "Time^2", "Time * Float" would yield "Time", and 
>> "Time * Length" would yield just that: "Time * Length". ("Force" would be 
>> an alias of "Mass * Length / (Second^2)".)
>>
>> I know that this is a very radical proposal, (I don't know of any 
>> language that has a feature like this.) but I bring it up anyways, because 
>> although it's been 18 years since the mars probe crashed because of a unit 
>> error (one module assumed that the number it was getting was in metric 
>> units, and another assumed that it was getting it in US imperial units) ( 
>> https://en.wikipedia.org/wiki/Mars_Climate_Orbiter ), I'm amazed that 
>> since then, programming languages have done nothing to prevent this kind of 
>> error from happening again, besides just admonishing programmers to be 
>> careful. (As if the NASA programmers at the time weren't already trying to!)
>>
>> Letting `5` be a legal unitless `Time` value is just as silly and 
>> dangerous as letting `bool a = 2;` be a legal statement in C. data/enum 
>> types prevent this from happening to `Bool` in Elm, and unit types could 
>> prevent the same kind of thing from happening to `Time`.
>>
>> Questions, comments, related thoughts, etc are welcome.
>>
>>

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