I certainly don't want to restrain anyone from improving on the floating point 
status quo. There's surely much to do. I apologize for my not-so-constructive 
messages. Maybe I'm surprised that this was one of the goals of Swift.

Floats and Strings are efficient ways to test comparison APIs indeed.

Gwendal 

> Le 18 avr. 2017 à 18:58, Joe Groff <jgr...@apple.com> a écrit :
> 
> 
>> On Apr 18, 2017, at 9:47 AM, Gwendal Roué <gwendal.r...@gmail.com> wrote:
>> 
>> 
>>> Le 18 avr. 2017 à 17:40, Joe Groff <jgr...@apple.com> a écrit :
>>> 
>>> 
>>>>> On Apr 18, 2017, at 1:34 AM, Gwendal Roué <gwendal.r...@gmail.com> wrote:
>>>>> 
>>>>> 
>>>>>> Le 18 avr. 2017 à 06:45, Joe Groff via swift-evolution 
>>>>>> <swift-evolution@swift.org> a écrit :
>>>>>> 
>>>>>> 
>>>>>> On Apr 17, 2017, at 9:40 PM, Chris Lattner <clatt...@nondot.org> wrote:
>>>>>> 
>>>>>> 
>>>>>>> On Apr 17, 2017, at 9:07 AM, Joe Groff via swift-evolution 
>>>>>>> <swift-evolution@swift.org> wrote:
>>>>>>> 
>>>>>>> 
>>>>>>>> On Apr 15, 2017, at 9:49 PM, Xiaodi Wu via swift-evolution 
>>>>>>>> <swift-evolution@swift.org> wrote:
>>>>>>>> 
>>>>>>>> For example, I expect `XCTAssertEqual<T : FloatingPoint>(_:_:)` to be 
>>>>>>>> vended as part of XCTest, in order to make sure that 
>>>>>>>> `XCTAssertEqual(resultOfComputation, Double.nan)` always fails.
>>>>>>> 
>>>>>>> Unit tests strike me as an example of where you really *don't* want 
>>>>>>> level 1 comparison semantics. If I'm testing the output of an FP 
>>>>>>> operation, I want to be able to test that it produces nan when I expect 
>>>>>>> it to, or that it produces the right zero.
>>>>>> 
>>>>>> I find it very concerning that == will have different results based on 
>>>>>> concrete vs generic type parameters.  This can only lead to significant 
>>>>>> confusion down the road.  I’m highly concerned about situations where 
>>>>>> taking a concrete algorithm and generalizing it (with generics) will 
>>>>>> change its behavior.
>>>>> 
>>>>> In this case, I think we're making == do exactly what you want it to do 
>>>>> based on context. If you're working concretely with floats, then you get 
>>>>> floating-point behavior like you'd expect. If you're working with 
>>>>> generically Equatable/Comparable things, then you're expecting the 
>>>>> abstract guarantees of interchangeability and total ordering that 
>>>>> implies, and you don't want to have to think about the edge cases of 
>>>>> weird types that violate those constraints. I also doubt that this will 
>>>>> cause problems in practice.
>>>> 
>>>> "then you're expecting the abstract guarantees of interchangeability and 
>>>> total ordering that implies"
>>>> 
>>>> Joe, please: I'm very glad that you are expert in so many subject - I'd 
>>>> love to have your job - but please keep track of average joes that have to 
>>>> scratch their heads whenever they have to deal with nans and infinites and 
>>>> subnormals and all those weird floating beasts. They already scratch their 
>>>> heads with the idiosyncrasies of Swift protocols.
>>>> 
>>>> Please keep equality simple.
>>> 
>>> I would argue that keeping equality simple is exactly what this proposal 
>>> achieves, since you *don't* need to worry about nans or positive/negative 
>>> zero or other floating-point strangeness every place you use == abstractly. 
>>> You have to opt in to the idiosyncratic behavior by working concretely with 
>>> floats.
>> 
>> Cool, a brand new Swift chapter added to "What Every Computer Scientist 
>> Should Know About Floating-Point Arithmetic" :-)
> 
> IMO, it will be a victory if the Swift edition can be titled "What Every 
> Computer Scientist *Who Uses Floats* Should Know About Them", and everyone 
> else who doesn't think about floating-point every day can sleep easy at night 
> without Kahan's ghost hiding under their bed.
> 
> -Joe
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