Hi Anthony,

We first go the slavish route, to provide a basis for changing things later. 

So I am not looking for alternative ways of doing this, I am just wondering 
whether there is a rationale for doing things this way.
The document does not give one. 

And now I hear that records suffer from the same issue (thanks Cale). We had 
not run into this yet, because right now
Helium does not have ‘em. Both sound fishy to me and if nobody can make a case 
for having things this way
in the first place, I wonder why it’s like that.

Adding associated types is a long way off, or any such language extensions is 
at this point. 
The only one I might consider at this time is GADTs, but only if I find a 
master student to investigate type error diagnosis
in that setting. 

Jur

> On 4Oct, 2018, at 03:55, Anthony Clayden <anthony_clay...@clear.net.nz> wrote:
> 
> > We are adding classes and instances to Helium.
> > We wondered about the aspect that it is allowed to have a class instance
> > of which not all fields have a piece of code/value associated with them, ...
> 
> I have a suggestion for that. But first let me understand where you're going 
> with Helium. Are you aiming to slavishly reproduce Haskell's 
> classes/instances, or is this a chance for a rethink?
> 
> Will you want to include associated types and associated datatypes in the 
> classes? Note those are just syntactic sugar for top-level type families and 
> data families. It does aid readability to put them within the class.
> 
> I would certainly rethink the current grouping of methods into classes. 
> Number purists have long wanted to split class Num into Additive vs 
> Multiplicative. (Additive would be a superclass of Multiplicative.) For the 
> Naturals perhaps we want Presburger arithmetic then Additive just contains 
> (+), with `negate` certainly in a different class, perhaps (-) subtract also 
> in a dedicated class. Also there's people wanting Monads with just `bind` not 
> `return`. But restructuring the Prelude classes/methods is just too hard with 
> all that legacy code. Even though you should be able to do:
> 
> class (Additive a, Subtractive a, Negative a, Multiplicative a, Divisive a) 
> => Num a
> 
> Note there's a lot of classes with a single method, and that seems to be an 
> increasing trend. Historically it wasn't so easy in Haskell to do that 
> superclass constraints business; if it had been perhaps there would be more 
> classes with a single method. Then there's some disadvantages to classes 
> holding multiple methods:
> * the need to provide an overloading for every method, even though it may not 
> make sense
>   (or suffer a run-time error, as you say)
> * the inability to 'fine tune' methods for a specific datatype [**]
> * an internal compiler/object code cost of passing a group of methods in a 
> dictionary as tuple
>   (as apposed to directly selecting a single method)
> 
> [**] Nats vs Integrals vs Fractionals for `Num`; and (this will be 
> controversial, but ...) Some people want to/some languages do use (+) for 
> concatenating Strings/lists. But the other methods in `Num` don't make any 
> sense.
> 
> If all your classes have a single method, the class name would seem to be 
> superfluous, and the class/instance decl syntax seems too verbose.
> 
> So here's a suggestion. I'll need to illustrate with some definite syntax, 
> but there's nothing necessary about it. (I'll borrow the Explicit Type 
> Application `@`.) To give an instance overloading for method `show` or (==)
> 
> show @Int = primShowInt                     -- in effect pattern matching on 
> the type
> (==) @Int = primEqInt                       -- so see showList below
> That is: I'm giving an overloading for those methods on type `Int`. How do I 
> declare those methods are overloadable? In their signature:
> 
> show @a :: a -> String                      -- compare show :: Show a => a -> 
> String
> (==) @a :: a -> a -> Bool
> Non-overladable functions don't have `@a` to the left of `::`.
> How do I show that a class has a superclass constraint? That is: a method has 
> a supermethod constraint, we'll still use `=>`:
> 
> show @a :: showsPrec @a => a -> String      -- supermethod constraint
> show @[a] :: show a => [a] -> String        -- instance decl, because not 
> bare a, with constraint =>
> show @[a] xss = showList xss
> (*) @a :: (+) @a => a -> a -> a
> 
> Is this idea completely off the wall? Take a look at Wadler's original 1988 
> memo introducing what became type classes. 
> http://homepages.inf.ed.ac.uk/wadler/papers/class-letter/class-letter.txt
> 
> It reviews several possible designs, but not all those possibilities made it 
> into his paper (with Stephen Blott) later in 1988/January 1989. In particular 
> look at Section 1's 'Simple overloading'. It's what I'm suggesting above 
> (modulo a bit of syntax). At the end of Section 1, Wadler rejects this design 
> because of "potential blow-ups". But he should have pushed the idea a bit 
> further. Perhaps he was scared to allow function/method names into type 
> signatures? (I've already sneaked that in above with constraints.) These days 
> Haskell is getting more relaxed about namespaces: the type `@`pplication 
> exactly allows type names appearing in terms. So to counter his example, the 
> programmer writes:
> 
> square x = x * x                             -- no explicit signature given
> square :: (*) @a => a -> a                   -- signature inferred, because 
> (*) is overloaded
> rms = sqrt . square                          -- no explicit signature
> rms :: sqrt @a => a -> a                     -- signature inferred
> 
> Note the inferred signature for `rms` doesn't need `(*) @a` even though it's 
> inferred from `square`. Because (*) is a supermethod of `sqrt`. `sqrt` might 
> also have other supermethods, that amount to `Floating`.
> 
> > ... a run-time error results.
> >
> > Does anyone know of a rationale for this choice, since it seems rather 
> > unhaskell-like.
> 
> 
> If you allow default method implementations (in the class, as Cale points 
> out), then I guess you have to allow instance decls that don't mention all 
> the methods. I think there should at least be a warning if there's no default 
> method. Also beware the default method might have a more specific signature, 
> which means it can't be applied for some particular instance.
> 
> Altogether, I'd say, the culprit is the strong bias in early Haskell to bunch 
> methods together into classes. These days with Haskell's richer/more 
> fine-tuned typeclass features: what do typeclasses do that can't be done more 
> precisely at method level -- indeed that would _better_ be done at method 
> level?
> 
> 
> AntC
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