Hi Benedikt, 

Thanks for taking a look at the github repo and for posting your thoughts here. 

If I understand it correctly, your concern is: 

- In the github repo, a BinaryFunction is a Binary, and a Binary is an Arity. 

- But at same time, it is intuitive that a BinaryFunction "has" an arity, which 
is binary. 

Is that right? If so, I think it's a question of changing the nomenclature. The 
issue started because in functional languages like Haskell, a functor has a 
broader meaning (e.g.: a list is a functor in Haskell [1]).

Maybe we could revert this changes, or find a better name? I thought about 
something like Operation or Operator, but in project lambda, the interface 
BinaryOperator extends BiFunction [2]. So maybe it would be confusing too, if 
the user was used to Java 8 (assuming both interfaces are released with Java 8).

What do you think? Back to Functors (and maybe document the difference from 
haskell and [functor]?), or do you have some other name in mind? Academics 
papers might be a good place to find a better name.

Thanks!!

[1] http://en.wikibooks.org/wiki/Haskell/Applicative_Functors
[2] 
http://download.java.net/lambda/b76/docs/api/java/util/function/BinaryOperator.html
 
Bruno P. Kinoshita
http://kinoshita.eti.br
http://tupilabs.com


----- Original Message -----
> From: Benedikt Ritter <brit...@apache.org>
> To: Commons Developers List <dev@commons.apache.org>
> Cc: 
> Sent: Tuesday, February 12, 2013 2:45 PM
> Subject: Re: [functor] Change default arity of Function, Predicate and 
> Procedure
> 
> Hi Matt,
> 
> 2013/2/12 Matt Benson <gudnabr...@gmail.com>
> 
>>  Hi Benedikt,
>>    So what you are pointing out is the "is a" vs. "has 
> a" dichotomy?  To an
>>  extent, I see your point.  I could argue that the semantics of the word
>>  "implements" perhaps leaves a bit of so-called wiggle room on the 
> is a/has
>>  a subject.
> 
> 
> Now we are mixing things up. I was referring to the inheritance
> relationships between the interfaces.
> 
> The java "implements" keyword is a different concept. Indeed, I'm 
> not sure
> if it (or the notion of Interfaces) is part of the OO paradigm at all.
> There is an interesting paper about this topic (what are the core conecpts
> of object orientation?) [1]...
> 
> Anyway the reason I'm bringing this rather academic topic up is, that I
> believe that a clear object-orient design will lead to a better (= easier
> to understand) API. People will work with the API. They will browse the
> type hierarchy to understand how things are tied together.
> This will lead to situations like: "okay, I have a BinaryFunction... what
> is a BinaryFuncation? Ah, it's a Binary... what is a Binary? A Binary seems
> to be an Arity... wait.. what?"
> 
> Maybe I can make myself clearer by giving a less abstract example.
> Consider the following set of thinks: Cars, Trucks, Motorcycles.
> They all have wheels of some sort. How would you model this using
> Interfaces?
> I'm sure you wouldn't define an interface "Wheel" that is 
> extended by Car,
> Truck and Motorcycle.
> Instead you would probably define "Vehicle" with a 
> "getNumberOfWheels()"
> method and let Car, Truck and Motorcycle extend Vehicle.
> This is what I meant when I said "Arity is not a superset of 
> functors". it
> is a property, like the number of Wheels is a property of all vehicles.
> 
> Again, this is all very academic. If you see it fit to create Arity and
> have the different functors extend it, then do it :-)
> 
> 
>>  This could devolve into a long discussion of the most
>>  semantically correct place to use "implements Arity*" vs. 
> "extends Arity*"
>>  throughout the API, but the final result, IMO, is that the intent of any
>>  given concrete class is clear enough, and Arity|Nullary|Unary|Binary|ad
>>  infinitum seems more convenient than e.g. 
> "SomethingThatHasArity", etc.
>> 
> 
> I agree!
> 
> 
>> 
>>  Does that make sense?
>> 
> 
> As I said, I think pragmatism should win over OO purism :)
> 
> 
>> 
>>  Matt
>> 
> 
> Benedikt
> 
> [1] http://dl.acm.org/citation.cfm?id=1113040
> 
>> 
>> 
>>  On Tue, Feb 12, 2013 at 7:29 AM, Benedikt Ritter <brit...@apache.org>
>>  wrote:
>> 
>>  > Hi Guys,
>>  >
>>  > I've had a look at the github repo and let me say at first that 
> I'm no
>>  > expert in functional programming. So maybe what I'm talking is 
> complete
>>  > nonsense :)
>>  >
>>  > From what I learned about the concept of arity at wikipedia it seems 
> that
>>  > an arity is a property of a functor.
>>  > One could say: "A binary functor has an arity of two" 
> (right?!)
>>  >
>>  > In the github repo you introduced an inheritance relationship between
>>  > functors and arity.
>>  > This maybe a good thing to do from a pracmatic POV because all 
> functors
>>  > share the fact that say have an arity.
>>  >
>>  > From an object oriented POV inheritance is more then pure reuse. When
>>  > defining an inheritance relationship between concept Super and concept
>>  Sub
>>  > we basically say "Every instance of Sub is also an instance of 
> Super" or
>>  > short "Every Sub is also a Super"
>>  >
>>  > Now coming back to functors you have introduced a relationship that 
> says
>>  > "Every BinaryFunction is a Binary and every Binary is an 
> Arity".
>>  > Keeping in mind that arity is only a property of a functor (rather 
> than a
>>  > superset) this seems strange (from an OO POV).
>>  > But as I'm no expert on functional programming this maybe the 
> right thing
>>  > to do... :)
>>  >
>>  > just my 2 cents :)
>>  > Benedikt
>>  >
>>  >
>>  >
>>  > 2013/2/11 Bruno P. Kinoshita <ki...@apache.org>
>>  >
>>  > > Hi Matt!
>>  > >
>>  > > Great! I'll commit these changes tomorrow if there are no 
> objections.
>>  > >
>>  > > Thanks!
>>  > >
>>  > > Bruno P. Kinoshita
>>  > > http://kinoshita.eti.br
>>  > > http://tupilabs.com
>>  > >
>>  > >
>>  > > ----- Original Message -----
>>  > > > From: Matt Benson <gudnabr...@gmail.com>
>>  > > > To: Commons Developers List <dev@commons.apache.org>
>>  > > > Cc:
>>  > > > Sent: Monday, February 11, 2013 8:39 PM
>>  > > > Subject: Re: [functor] Change default arity of Function, 
> Predicate
>>  and
>>  > > Procedure
>>  > > >
>>  > > > Hi Bruno,
>>  > > >   No objections here about the Arity interfaces.  I see that 
> your
>>  > master
>>  > > > branch also contains changes to migrate Unary* to * and * to
>>  Nullary*.
>>  > > > Personally I am satisfied to align with lambda/guava if 
> noone else
>>  > > objects.
>>  > > >
>>  > > > Thanks,
>>  > > > Matt
>>  > > >
>>  > > >
>>  > > > On Mon, Feb 11, 2013 at 4:25 PM, Bruno P. Kinoshita <
>>  > > > brunodepau...@yahoo.com.br> wrote:
>>  > > >
>>  > > >>  Hi Matt, all,
>>  > > >>
>>  > > >>  I'm messing with [functor] in my GitHub mirror [1]. 
> You can find
>>  the
>>  > > >>  commits in the master branch [2].
>>  > > >>
>>  > > >>  The Arity->Unary/Binary/Nullary interfaces look 
> good. If there are
>>  no
>>  > > >>  objections I would like to commit this change to the 
> trunk in SVN.
>>  > > >>
>>  > > >>  There are other changes that I'll omit in this 
> commit, but will
>>  start
>>  > > > new
>>  > > >>  threads here in the mailing list :o)
>>  > > >>
>>  > > >>  Thank you in advance!
>>  > > >>
>>  > > >>  [1] https://github.com/kinow/functor
>>  > > >>  [2] https://github.com/kinow/functor/commits/master
>>  > > >>
>>  > > >>  Bruno P. Kinoshita
>>  > > >>  http://kinoshita.eti.br
>>  > > >>  http://tupilabs.com
>>  > > >>
>>  > > >>
>>  > > >>  >________________________________
>>  > > >>  > From: Bruno P. Kinoshita <ki...@apache.org>
>>  > > >>  >To: Commons Developers List 
> <dev@commons.apache.org>; "
>>  > > >>  gudnabr...@gmail.com" <gudnabr...@gmail.com>
>>  > > >>  >Sent: Wednesday, January 30, 2013 3:58 PM
>>  > > >>  >Subject: Re: [functor] Change default arity of 
> Function, Predicate
>>  > and
>>  > > >>  Procedure
>>  > > >>  >
>>  > > >>  >I think it makes sense and is clear what is does.
>>  > > >>  >
>>  > > >>  >I thought in using {arity}Operation, but in Java 8 
> there are
>>  > > interfaces
>>  > > >>  like BinaryOperator, and BinaryOperator extends 
> BiFunction, so it
>>  > > would be
>>  > > >>  confusing to users having something like interface 
> BinaryFunction
>>  > > extends
>>  > > >>  BinaryOperation in [functor].
>>  > > >>  >
>>  > > >>  >Bruno P. Kinoshita
>>  > > >>  >http://kinoshita.eti.br
>>  > > >>  >http://tupilabs.com
>>  > > >>  >
>>  > > >>  >
>>  > > >>  >----- Original Message -----
>>  > > >>  >> From: Matt Benson <gudnabr...@gmail.com>
>>  > > >>  >> To: Bruno P. Kinoshita 
> <brunodepau...@yahoo.com.br>
>>  > > >>  >> Cc: Commons Developers List 
> <dev@commons.apache.org>
>>  > > >>  >> Sent: Wednesday, January 30, 2013 1:29 PM
>>  > > >>  >> Subject: Re: [functor] Change default arity of 
> Function,
>>  Predicate
>>  > > > and
>>  > > >>  Procedure
>>  > > >>  >>
>>  > > >>  >> What about:
>>  > > >>  >>
>>  > > >>  >> Arity (Marker)
>>  > > >>  >> |_Nullary extends Arity
>>  > > >>  >> |_Unary<A> extends Arity
>>  > > >>  >> |_Binary<L, R> extends Arity
>>  > > >>  >>
>>  > > >>  >> ?
>>  > > >>  >>
>>  > > >>  >> Matt
>>  > > >>  >>
>>  > > >>  >>
>>  > > >>  >> On Tue, Jan 29, 2013 at 6:09 PM, Bruno P. 
> Kinoshita <
>>  > > >>  >> brunodepau...@yahoo.com.br> wrote:
>>  > > >>  >>
>>  > > >>  >>>  In Haskell you define your functions and 
> its arity.
>>  > > >>  >>>
>>  > > >>  >>>  // nullary function
>>  > > >>  >>>  a :: () => () -> String
>>  > > >>  >>>  a = "Hello World"
>>  > > >>  >>>
>>  > > >>  >>>  // unary function
>>  > > >>  >>>  b :: (Integral c) => c -: String
>>  > > >>  >>>  b x = "Hello Integral"
>>  > > >>  >>>
>>  > > >>  >>>  I think in Clojure and Scala you can 
> define the arity of the
>>  > > > function
>>  > > >>  too.
>>  > > >>  >>>
>>  > > >>  >>>  For the users of [functor] I think it 
> would be easier to
>>  > > > migrate their
>>  > > >>  >>>  code to Java 8, or use it with Java 8, if 
> both [functor] and
>>  > > > Java 8
>>  > > >>  >>>  Function classes had similar behaviour. 
> That would be
>>  > > > interesting
>>  > > >>  >>>  especially if the lambda project provided 
> a backport jar.
>>  > > >>  >>>
>>  > > >>  >>>  [functor] and lambda project provide 1 
> and 2 arities by
>>  > > > default, but
>>  > > >>  >>>  lambda doesn't provide nullary 
> interfaces (or at least I
>>  > > > couldn't
>>  > > >>  >> find them
>>  > > >>  >>>  in java.util.functions).
>>  > > >>  >>>
>>  > > >>  >>>  Cheers
>>  > > >>  >>>
>>  > > >>  >>>  Bruno P. Kinoshita
>>  > > >>  >>>  http://kinoshita.eti.br
>>  > > >>  >>>  http://tupilabs.com
>>  > > >>  >>>
>>  > > >>  >>>
>>  > > >>  >>>  ----- Original Message -----
>>  > > >>  >>>  > From: Matt Benson 
> <gudnabr...@gmail.com>
>>  > > >>  >>>  > To: Commons Developers List
>>  > > > <dev@commons.apache.org>; Bruno P.
>>  > > >>  >>>  Kinoshita 
> <brunodepau...@yahoo.com.br>
>>  > > >>  >>>  > Cc:
>>  > > >>  >>>  > Sent: Tuesday, January 29, 2013 8:57 
> PM
>>  > > >>  >>>  > Subject: Re: [functor] Change 
> default arity of Function,
>>  > > > Predicate
>>  > > >>  and
>>  > > >>  >>>  Procedure
>>  > > >>  >>>  >
>>  > > >>  >>>  > What about in pure functional 
> languages e.g. Haskell?
>>  > > >>  >>>  >
>>  > > >>  >>>  > Matt
>>  > > >>  >>>  >
>>  > > >>  >>>  >
>>  > > >>  >>>  > On Tue, Jan 29, 2013 at 4:55 PM, 
> Bruno P. Kinoshita <
>>  > > >>  >>>  > brunodepau...@yahoo.com.br> 
> wrote:
>>  > > >>  >>>  >
>>  > > >>  >>>  >>  Hi all,
>>  > > >>  >>>  >>
>>  > > >>  >>>  >>  In Java 8 and Guava the default 
> arity of a Function
>>  > > > is 1, but in
>>  > > >>  >>>  [functor]
>>  > > >>  >>>  >>  it is 0, IOW, in Java 8 and 
> Guava a Function is by
>>  > > > default a
>>  > > >>  >>>  UnaryFunction,
>>  > > >>  >>>  >>  while in [functor] it is a 
> NullaryFunction.
>>  > > >>  >>>  >>
>>  > > >>  >>>  >>  What do you guys think of 
> changing the default
>>  > > > arity of Function,
>>  > > >>  >>>  >>  Procedure and Predicate in 
> [functor] to 1, rather
>>  > > > than 0?
>>  > > >>  >>>  >>
>>  > > >>  >>>  >>  Cheers
>>  > > >>  >>>  >>
>>  > > >>  >>>  >>  Bruno P. Kinoshita
>>  > > >>  >>>  >>  http://kinoshita.eti.br
>>  > > >>  >>>  >>  http://tupilabs.com
>>  > > >>  >>>  >>
>>  > > >>  >>>  >>
>>  > > >>  >>
>>  > > > 
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>>  > > >>  >>
>>  > > >>  >
>>  > > >>
>>  >  
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>>  >
>>  >
>>  > --
>>  > http://people.apache.org/~britter/
>>  > http://www.systemoutprintln.de/
>>  > http://twitter.com/BenediktRitter
>>  > http://github.com/britter
>>  >
>> 
> 
> 
> 
> -- 
> http://people.apache.org/~britter/
> http://www.systemoutprintln.de/
> http://twitter.com/BenediktRitter
> http://github.com/britter
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