> On Jan 31, 2017, at 6:15 PM, Xiaodi Wu <xiaodi...@gmail.com> wrote:
> 
> On Tue, Jan 31, 2017 at 6:09 PM, Matthew Johnson <matt...@anandabits.com 
> <mailto:matt...@anandabits.com>> wrote:
> 
>> On Jan 31, 2017, at 5:35 PM, Xiaodi Wu via swift-evolution 
>> <swift-evolution@swift.org <mailto:swift-evolution@swift.org>> wrote:
>> 
>> On Tue, Jan 31, 2017 at 5:28 PM, David Sweeris <daveswee...@mac.com 
>> <mailto:daveswee...@mac.com>> wrote:
>> 
>>> On Jan 31, 2017, at 2:04 PM, Xiaodi Wu <xiaodi...@gmail.com 
>>> <mailto:xiaodi...@gmail.com>> wrote:
>>> 
>>> On Tue, Jan 31, 2017 at 3:36 PM, David Sweeris via swift-evolution 
>>> <swift-evolution@swift.org <mailto:swift-evolution@swift.org>> wrote:
>>> 
>>> On Jan 31, 2017, at 11:32, Jaden Geller via swift-evolution 
>>> <swift-evolution@swift.org <mailto:swift-evolution@swift.org>> wrote:
>>> 
>>>> I think that is perfectly reasonable, but then it seems weird to be able 
>>>> to iterate over it (with no upper bound) independently of a collection). 
>>>> It would surprise me if
>>>> ```
>>>> for x in arr[arr.startIndex…] { print(x) }
>>>> ```
>>>> yielded different results than
>>>> ```
>>>> for i in arr.startIndex… { print(arr[i]) } // CRASH
>>>> ```
>>>> which it does under this model.
>>> 
>>> (I think this how it works... semantically, anyway) Since the upper bound 
>>> isn't specified, it's inferred from the context.
>>> 
>>> In the first case, the context is as an index into an array, so the upper 
>>> bound is inferred to be the last valid index.
>>> 
>>> In the second case, there is no context, so it goes to Int.max. Then, after 
>>> the "wrong" context has been established, you try to index an array with 
>>> numbers from the too-large range.
>>> 
>>> Semantically speaking, they're pretty different operations. Why is it 
>>> surprising that they have different results?
>>> 
>>> I must say, I was originally rather fond of `0...` as a spelling, but IMO, 
>>> Jaden and others have pointed out a real semantic issue.
>>> 
>>> A range is, to put it simply, the "stuff" between two end points. A "range 
>>> with no upper bound" _has to be_ one that continues forever. The upper 
>>> bound _must_ be infinity.
>> 
>> Depends… Swift doesn’t allow partial initializations, and neither the 
>> `.endIndex` nor the `.upperBound` properties of a `Range` are optional. From 
>> a strictly syntactic PoV, a "Range without an upperBound” can’t exist 
>> without getting into undefined behavior territory.
>> 
>> Plus, mathematically speaking, an infinite range would be written "[x, ∞)", 
>> with an open upper bracket. If you write “[x, ∞]”, with a closed upper 
>> bracket, that’s kind of a meaningless statement. I would argue that if we’re 
>> going to represent that “infinite” range, the closest Swift spelling would 
>> be “x..<“. That leaves the mathematically undefined notation of “[x, ∞]”, 
>> spelled as "x…” in Swift, free to let us have “x…” or “…x” (which by similar 
>> reasoning can’t mean "(∞, x]”) return one of these:
>> enum IncompleteRange<T> {
>>     case upperValue(T)
>>     case lowerValue(T)
>> }
>> which we could then pass to the subscript function of a collection to create 
>> the actual Range like this:
>> extension Collection {
>>     subscript(_ ir: IncompleteRange<Index>) -> SubSequence {
>>         switch ir {
>>         case .lowerValue(let lower): return self[lower ..< self.endIndex]
>>         case .upperValue(let upper): return self[self.startIndex ..< upper]
>>         }
>>     }
>> }
>> 
>> I understand that you can do this from a technical perspective. But I'm 
>> arguing it's devoid of semantics.  That is, it's a spelling to dress up a 
>> number.
> 
> It’s not any more devoid of semantics than a partially applied function.
> 
> Yes, but this here is not a partially applied type.
> 
> Nor does it square with your proposal that you should be able to use `for i 
> in 0...` to mean something different from `array[0...]`. We don't have 
> partially applied functions doubling as function calls with default arguments.

I’m not trying to say it’s *exactly* like a partially applied function.

>  
> It is a number or index with added semantics that it provides a lower (or 
> upper) bound on the possible value specified by its type.
> 
>> 
>> What is such an `IncompleteRange<T>` other than a value of type T? It's not 
>> an upper bound or lower bound of anything until it's used to index a 
>> collection. Why have a new type (IncompleteRange<T>), a new set of operators 
>> (prefix and postfix range operators), and these muddied semantics for 
>> something that can be written `subscript(upTo upperBound: Index) -> 
>> SubSequence { ... }`? _That_ has unmistakable semantics and requires no new 
>> syntax.
> 
> Arguing that it adds too much complexity relative to the value it provides is 
> reasonable.  The value in this use case is mostly syntactic sugar so it’s 
> relatively easy to make the case that it doesn’t cary its weight here.
> 
> The value in Ben’s use case is a more composable alternative to `enumerated`. 
>  I find this to be a reasonably compelling example of the kind of thing a 
> partial range might enable.
> 
> Ben's use case is not a "partial range." It's a bona fide range with no upper 
> bound.

Ok, fair enough.  Let’s call it an infinite range then.

We can form an infinite range with an Index even if it’s an opaque type that 
can’t be incremented or decremented.  All we need is a comparable Bound which 
all Indices meet.  We can test whether other indices are contained within that 
infinite range and can clamp it to a tighter range as well.  This clamping is 
what would need to happen when an infinite range is passed to a collection 
subscript by providing an upper bound.  

The only thing unusual about this is that we don’t usually do a bounds check of 
any kind when subscripting a collection.


>  
> I also tend to find concise notation important for clarity as long as it 
> isn’t obscure or idiosyncratic.  With that in mind, I think I lean in favor 
> of `…` so long as we’re confident we won’t regret it if / when we take up 
> variadic generics and / or tuple unpacking.
> 
>> 
>> 
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