> On Oct 13, 2017, at 10:12 AM, Kevin Nattinger <sw...@nattinger.net> wrote:
> 
>> 
>> On Oct 13, 2017, at 10:01 AM, Michael Ilseman <milse...@apple.com 
>> <mailto:milse...@apple.com>> wrote:
>> 
>> 
>> 
>>> On Oct 12, 2017, at 9:57 PM, Kevin Nattinger via swift-evolution 
>>> <swift-evolution@swift.org <mailto:swift-evolution@swift.org>> wrote:
>>> 
>>> –∞
>>> 
>>> 1. I strongly object to the proposed name. It doesn't make it more clear to 
>>> me what the method does, and is misleading at best. Among other issues, 
>>> "lexicographical" is defined as alphabet order, and (1) this method applies 
>>> to objects that are not Strings, and (2) this method's behavior isn't any 
>>> more well-defined for Strings, so that name is even more of a lie than the 
>>> original.
>>> 
>> 
>> FWIW, in the context of String, "lexicographical ordering” does not imply 
>> human-written-language-alphabetical order at all, as there’s no universal 
>> alphabetical ordering for human language. I.e., such a concrete notion for 
>> Strings does not exist, not even theoretically. “Lexicographical” derives 
>> its meaning from the mathematical usage[1] which uses that term as well as 
>> “alphabet” without being restricted to human-written-language, in which it 
>> means some total ordering over a finite set.
>> 
>> [1] https://en.wikipedia.org/wiki/Lexicographical_order 
>> <https://en.wikipedia.org/wiki/Lexicographical_order>
> I see, apologies for the mistake. 

No worries, I think my comment came across too blunt. Sorry about that. I was 
trying to defend the word “lexicographical” which I think is a very useful word 
to have at our disposal :-)

> Regardless of the specific type of ordering, lexicographicallyEquals says to 
> me that the objects should be sorted into lexicographical order and compared. 
> Precisely the opposite of the proposal.
> 

Right, and thus cuts to the heart of what Xiaodi raised in the proposal’s third 
potential solution.

Quoted from the proposal:
> A third solution is to dramatically overhaul the protocol hierarchy for Swift 
> sequences and collections so that unordered collections no longer have 
> members such as first and elementsEqual(_:). However, this would be a 
> colossal and source-breaking undertaking, and it is unlikely to be 
> satisfactory in addressing all the axes of differences among sequence and 
> collection types:
> 
> Finite versus infinite
> Single-pass versus multi-pass
> Ordered versus unordered
> Lazy versus eager
> Forward/bidirectional/random-access

Is seems like you’re arguing we should attack the “Ordered versus unordered” 
dichotomy prior to any name change. Is that correct?


>> 
>>> 2. This is really just a symptom of a bigger problem. The fact that two 
>>> Sets can compare equal and yet return different results for that method 
>>> (among too many others) is logically inconsistent and points to a much 
>>> deeper issue with Set and Sequence. It is probably about 3 releases too 
>>> late to get this straightened out properly, but I'll outline the real issue 
>>> in case someone has an idea for fixing it.
>>> 
>>> The root of the problem is that Set conforms to Sequence, but Sequence 
>>> doesn't require a well-defined order. Since Set doesn't have a well-defined 
>>> order, a significant portion of its interface is unspecified. The methods 
>>> are implemented because they have to be, but they doesn't have well-defined 
>>> or necessarily consistent results.
>>> 
>>> A sequence is, by definition, ordered. That is reflected in the fact that 
>>> over half the methods in the main Sequence definition* make no sense and 
>>> are not well-defined unless there is a well-defined order to the sequence 
>>> itself. What does it even mean to `dropFirst()` in a Set? The fact that two 
>>> objects that compare equal can give different results for a 100% 
>>> deterministic function is illogical, nonsensical, and dangerous.
>>> 
>>> * 7/12 by my count, ignoring `_*` funcs but including the `var`
>>> 
>>> The current contents of Sequence can be cleanly divided into two groups; 
>>> those that return SubSequence imply a specific ordering, and the rest do 
>>> not.
>>> 
>>>  I think those should be/should have been two separate protocols:
>>> 
>>> public protocol Iterable {
>>>   associatedtype Iterator: IteratorProtocol
>>>   func map<T>(...) -> [T] // Iterable where .Iterator.Element == T
>>>   func filter(...) -> [Iterator.Element] // Iterable where 
>>> .Iterator.Element == Self.Iterator.Element
>>>   func forEach(...)
>>>   func makeIterator() -> Iterator
>>>   var underestimatedCount: Int { get }
>>> }
>>> 
>>> public protocol Sequence: Iterable { // Maybe OrderedSequence just to make 
>>> the well-defined-order requirement explicit
>>>   associatedtype SubSequence
>>>   func dropFirst(...)   -> SubSequence   // Sequence where 
>>> .Iterator.Element == Self.Iterator.Element
>>>   func dropLast(...)    -> SubSequence   //    " "
>>>   func drop(while...)   -> SubSequence   //    " "
>>>   func prefix(...)      -> SubSequence   //    " "
>>>   func prefix(while...) -> SubSequence   //    " "
>>>   func suffix(...)      -> SubSequence   //    " "
>>>   func split(...where...)  -> [SubSequence] // Iterable where 
>>> .Iterator.Element == (Sequence where .Iterator.Element == 
>>> Self.Iterator.Element)
>>> }
>>> 
>>> (The comments, of course, would be more sensible types once the ideas can 
>>> actually be expressed in Swift)
>>> 
>>> Then unordered collections (Set and Dictionary) would just conform to 
>>> Iterable and not Sequence, so ALL the methods on those classes would make 
>>> logical sense and have well-defined behavior; no change would be needed for 
>>> ordered collections.
>>> 
>>> Now, the practical matter. If this were Swift 1->2 or 2->3, I doubt there 
>>> would be a significant issue with actually making this change. 
>>> Unfortunately, we're well beyond that and making a change this deep is an 
>>> enormous deal. So I see two ways forward.
>>> 
>>> 1. We could go ahead and make this separation. Although it's a potentially 
>>> large breaking change, I would argue that because the methods are 
>>> ill-defined anyway, the breakage is justified and a net benefit.
>>> 
>>> 2. We could try and think of a way to make the distinction between ordered 
>>> and unordered "sequences" in a less-breaking manner. Unfortunately, I don't 
>>> have a good suggestion for this, but if anyone has ideas, I'm all ears. Or 
>>> eyes, as the case may be.
>>> 
>>> 
>>>> On Oct 12, 2017, at 4:24 PM, Xiaodi Wu via swift-evolution 
>>>> <swift-evolution@swift.org <mailto:swift-evolution@swift.org>> wrote:
>>>> 
>>>> Rename Sequence.elementsEqual
>>>> 
>>>> Proposal: SE-NNNN 
>>>> <https://gist.github.com/xwu/NNNN-rename-elements-equal.md>
>>>> Authors: Xiaodi Wu <https://github.com/xwu>
>>>> Review Manager: TBD
>>>> Status: Awaiting review
>>>>  
>>>> <https://gist.github.com/xwu/1f0ef4e18a7f321f22ca65a2f56772f6#introduction>Introduction
>>>> 
>>>> The current behavior of Sequence.elementsEqual is potentially confusing to 
>>>> users given its name. Having surveyed the alternative solutions to this 
>>>> problem, it is proposed that the method be renamed to 
>>>> Sequence.lexicographicallyEquals.
>>>> 
>>>> [...]
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>>> swift-evolution@swift.org <mailto:swift-evolution@swift.org>
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