> On Oct 17, 2017, at 9:34 AM, Xiaodi Wu via swift-evolution 
> <swift-evolution@swift.org> wrote:
> 
> 
> On Tue, Oct 17, 2017 at 09:42 Jonathan Hull <jh...@gbis.com 
> <mailto:jh...@gbis.com>> wrote:
>> On Oct 17, 2017, at 5:44 AM, Xiaodi Wu <xiaodi...@gmail.com 
>> <mailto:xiaodi...@gmail.com>> wrote:
>> 
>> 
>> On Tue, Oct 17, 2017 at 00:56 Thorsten Seitz <tseit...@icloud.com 
>> <mailto:tseit...@icloud.com>> wrote:
>> 
>> 
>> Am 17.10.2017 um 00:13 schrieb Xiaodi Wu <xiaodi...@gmail.com 
>> <mailto:xiaodi...@gmail.com>>:
>> 
>>> 
>>> On Mon, Oct 16, 2017 at 14:21 Thorsten Seitz <tseit...@icloud.com 
>>> <mailto:tseit...@icloud.com>> wrote:
>>>> Am 16.10.2017 um 16:20 schrieb Xiaodi Wu via swift-evolution 
>>>> <swift-evolution@swift.org <mailto:swift-evolution@swift.org>>:
>>>> 
>>>> 
>>>> On Mon, Oct 16, 2017 at 05:48 Jonathan Hull <jh...@gbis.com 
>>>> <mailto:jh...@gbis.com>> wrote:
>>>> 
>>>>> On Oct 15, 2017, at 9:58 PM, Xiaodi Wu <xiaodi...@gmail.com 
>>>>> <mailto:xiaodi...@gmail.com>> wrote:
>>>>> 
>>>>> On Sun, Oct 15, 2017 at 8:51 PM, Jonathan Hull <jh...@gbis.com 
>>>>> <mailto:jh...@gbis.com>> wrote:
>>>>> 
>>>>>> On Oct 14, 2017, at 10:48 PM, Xiaodi Wu <xiaodi...@gmail.com 
>>>>>> <mailto:xiaodi...@gmail.com>> wrote:
>>>>>>>>  That ordering can be arbitrary, but it shouldn’t leak internal 
>>>>>>>> representation such that the method used to create identical things 
>>>>>>>> affects the outcome of generic methods because of differences in 
>>>>>>>> internal representation.
>>>>>>>> 
>>>>>>>> 
>>>>>>>>>  It would be better to say that the iteration order is well-defined. 
>>>>>>>>> That will almost always mean documented, and usually predictable 
>>>>>>>>> though obviously e.g. RNGs and iterating in random order will not be 
>>>>>>>>> predictable by design.
>>>>>>>>> 
>>>>>>>>>> That's actually more semantically constrained than what Swift calls 
>>>>>>>>>> a `Collection` (which requires conforming types to be multi-pass 
>>>>>>>>>> and(?) finite). By contrast, Swift's `SpongeBob` protocol explicitly 
>>>>>>>>>> permits conforming single-pass, infinite, and/or unordered types. 
>>>>>>>>> 
>>>>>>>>> I think you’re talking about Sequence here, I’ve lost track of your 
>>>>>>>>> nonsense by now. Yes, the current Swift protocol named Sequence 
>>>>>>>>> allows unordered types. You seem to keep asserting that but not 
>>>>>>>>> actually addressing my argument, which is that allowing Sequences to 
>>>>>>>>> be unordered with the current API is undesired and actively harmful, 
>>>>>>>>> and should therefore be changed.
>>>>>>>>> 
>>>>>>>>> What is harmful about it?
>>>>>>>> 
>>>>>>>> After thinking about it, I think the harmful bit is that unordered 
>>>>>>>> sequences are leaking internal representation (In your example, this 
>>>>>>>> is causing people to be surprised when two sets with identical 
>>>>>>>> elements are generating different sequences/orderings based on how 
>>>>>>>> they were created).  You are correct when you say that this problem is 
>>>>>>>> even true for for-in.
>>>>>>>> 
>>>>>>>> I would not say it is a problem. Rather, by definition, iteration 
>>>>>>>> involves retrieving one element after another; if you're allowed to do 
>>>>>>>> that with Set, then the elements of a Set are observably ordered in 
>>>>>>>> some way. Since it's not an OrderedSet--i.e., order doesn't 
>>>>>>>> matter--then the only sensible conclusion is that the order of 
>>>>>>>> elements obtained in a for...in loop must be arbitrary. If you think 
>>>>>>>> this is harmful, then you must believe that one should be prohibited 
>>>>>>>> from iterating over an instance of Set. Otherwise, Set is inescapably 
>>>>>>>> a Sequence by the Swift definition of Sequence. All extension methods 
>>>>>>>> on Sequence like drop(while:) are really just conveniences for common 
>>>>>>>> things that you can do with iterated access; to my mind, they're 
>>>>>>>> essentially just alternative ways of spelling various for...in loops.
>>>>>>> 
>>>>>>> I think an argument could be made that you shouldn’t be able to iterate 
>>>>>>> over a set without first defining an ordering on it (even if that 
>>>>>>> ordering is somewhat arbitrary).  Maybe we have something like a 
>>>>>>> “Sequenc(e)able” protocol which defines things which can be turned into 
>>>>>>> a sequence when combined with some sort of ordering.  One possible 
>>>>>>> ordering could be the internal representation (At least in that case we 
>>>>>>> are calling it out specifically).  If I had to say 
>>>>>>> “setA.arbitraryOrder.elementsEqual(setB.arbitraryOrder)” I would 
>>>>>>> definitely be less surprised when it returns false even though setA == 
>>>>>>> setB.
>>>>>>> 
>>>>>>> Well, that's a totally different direction, then; you're arguing that 
>>>>>>> `Set` and `Dictionary` should not conform to `Sequence` altogether. 
>>>>>>> That's fine (it's also a direction that some of us explored off-list a 
>>>>>>> while ago), but at this point in Swift's evolution, realistically, it's 
>>>>>>> not within the realm of possible changes.
>>>>>> 
>>>>>> I am actually suggesting something slightly different.  Basically, Set 
>>>>>> and Dictionary’s conformance to Collection would have a different 
>>>>>> implementation.  They would conform to another protocol declaring that 
>>>>>> they are unordered. That protocol would fill in part of the conformance 
>>>>>> to sequence/collection using a default ordering, which is mostly 
>>>>>> arbitrary, but guaranteed to produce the same ordering for the same list 
>>>>>> of elements (even across collection types).  This would be safer, but a 
>>>>>> tiny bit slower than what we have now (We could also potentially develop 
>>>>>> a way for collections like set to amortize the cost). For those who need 
>>>>>> to recover speed, the new protocol would also define a property which 
>>>>>> quickly returns a sequence/iterator using the internal ordering (I 
>>>>>> arbitrarily called it .arbitraryOrder).
>>>>>> 
>>>>>> I believe it would not be source breaking.
>>>>>> 
>>>>>> That is indeed something slightly different.
>>>>>> 
>>>>>> In an ideal world--and my initial understanding of what you were 
>>>>>> suggesting--Set and Dictionary would each have a member like 
>>>>>> `collection`, which would expose the underlying data as a 
>>>>>> `SetCollection` or `DictionaryCollection` that in turn would conform to 
>>>>>> `Collection`; meanwhile, Set and Dictionary themselves would not offer 
>>>>>> methods such as `prefix`, or indexing by subscript, which are not 
>>>>>> compatible with being unordered. For those who want a particular 
>>>>>> ordering, there'd be something like `collection(ordered 
>>>>>> areInIncreasingOrder: (T, T) -> Bool) -> {Set|Dictionary}Collection`.
>>>>>> 
>>>>>> What you suggest here instead would be minimally source-breaking. 
>>>>>> However, I'm unsure of where these guarantees provide benefit to justify 
>>>>>> the performance cost. Certainly not for `first` or `dropFirst(_:)`, 
>>>>>> which still yields an arbitrary result which doesn't make sense for 
>>>>>> something _unordered_. We *could* have an underscored customization 
>>>>>> point named something like `_customOrderingPass` that is only invoked 
>>>>>> from `elementsEqual` or other such methods to pre-rearrange the internal 
>>>>>> ordering of unordered collections in some deterministic way before 
>>>>>> comparison. Is that what you have in mind?
>>>>> 
>>>>> 
>>>>> Something like that.  Whatever we do, there will be a tradeoff between 
>>>>> speed, correctness, and ergonomics.
>>>>> 
>>>>> My suggestion trades speed for correctness, and provides a way to recover 
>>>>> speed through additional typing (which is slightly less ergonomic).
>>>>> 
>>>>> You haven't convinced me that this is at all improved in "correctness." 
>>>>> It trades one arbitrary iteration order for another on a type that tries 
>>>>> to model an unordered collection.
>>>>>  
>>>>> We could do something like you suggest. I don’t think the method would 
>>>>> need to be underscored… the ordering pass could just be a method on the 
>>>>> protocol which defines it as unordered.  Then we could provide a special 
>>>>> conformance for things where order really matters based on adherence to 
>>>>> that protocol.  That might be an acceptable tradeoff.  It would give us 
>>>>> speed at the cost of having the correct implementation being less 
>>>>> ergonomic and more error prone (you have to remember to check that it is 
>>>>> unordered and call the ordering method when it mattered).
>>>>> 
>>>>> I’d still be a bit worried that people would make incorrect generic 
>>>>> algorithms based on expecting an order from unordered things, but at 
>>>>> least it would be possible for them check and handle it correctly.  I 
>>>>> think I could get behind that tradeoff/compromise, given where we are in 
>>>>> the swift process and Swift's obsession with speed (though I still 
>>>>> slightly prefer the safer default).  At least the standard library would 
>>>>> handle all the things correctly, and that is what will affect the 
>>>>> majority of programmers.
>>>>> 
>>>>> What is an example of such an "incorrect" generic algorithm that would be 
>>>>> made correct by such a scheme?
>>>> 
>>>> To start with, the one you gave as an example at the beginning of this 
>>>> discussion: Two sets with identical elements which have different internal 
>>>> storage and thus give different orderings as sequences.  You yourself have 
>>>> argued that the confusion around this is enough of a problem that we need 
>>>> to make a source-breaking change (renaming it) to warn people that the 
>>>> results of the ‘elementsEqual’ algorithm are undefined for sets and 
>>>> dictionaries.
>>>> 
>>>> No, I am arguing that the confusion about ‘elementsEqual’ is foremost a 
>>>> problem with its name; the result of this operation is not at all 
>>>> undefined for two sets but actually clearly defined: it returns true if 
>>>> two sets have the same elements in the same iteration order, which is a 
>>>> publicly observable behavior of sets (likewise dictionaries).
>>> 
>>> But it is a behavior which has absolutely no meaning at all because the 
>>> order does not depend on the elements of the set but on the history of how 
>>> the set has been reached its current state.
>>> So why should I ever use this method on a set? 
>>> What is the use case?
>>> 
>>> One example: you can use it to check an instance of Set<Float> to determine 
>>> if it has a NaN value. (The “obvious” way of doing it is not guaranteed to 
>>> work since NaN != NaN.)
>> 
>> How would I do that? I'd rather expect to use a property isNaN on Float to 
>> do that.
>> 
>> set.elementsEqual(set)
> 
> I see why that would work (thanks to Set being a collection vs a sequence), 
> but it still feels like a hack.  I definitely wouldn’t want to be maintaining 
> code with that in it. Especially when compared to something like:
> 
>       set.contains(where: {$0.isNaN})
> 
> The purpose of protocols is to enable useful generic code. You cannot use 
> isNaN for code that works on generic Collection, or for that matter, even 
> code that works on Set where Element : Numeric.
> 
> Much generic code (for example, generic sorting) easily blows up when 
> encountering NaN. If you want an algorithm that is robust enough to handle 
> (or at least reject) that scenario, then you will need to check for it. It is 
> not a “hack” but a very common and accepted way of determining the presence 
> of NaN.

That's easy to fix:

public protocol Numeric {
        // whatever's there now, plus
        var isNaN: Bool {get}
}
public extension Numeric where Self: BinaryInteger {
        var isNaN: Bool { return false }
}

- Dave Sweeris
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