I just wanted to ask for more detail on why this is a non-starter (it seems like most of my ideas are dismissed as “non-starters”, but I am rarely given a detailed reason why).
Migration would be a renaming from ‘Double' to ‘Double?’, but it wouldn’t be cosmetic. It would free us to use a non-optional Double, where we can guarantee the answer wouldn’t be NaN/nil. We would, as you say, have functions like ‘cos(Double?)->Double?’ which propagate the optional, but we could also add a ‘cos(Double)->Double’ overload which guarantees an actual result. For something like Tan, we would only have the optional version because the answer may actually be undefined, even when the input isn't. In short, it would actually make people consider conditions which result in NaN because of Swift’s machinery which makes people consider nil. It also allows non-optional Double to easily conform to Comparable, and removes the gotchas around Collections… Pretty big wins for a “cosmetic rename”. The only thing we lose is 'NaN != Nan' (because nil == nil), but then algorithms that had relied on that would be forced to consider the NaN/nil case explicitly because of the optionals. It would also inter-op well with C/ObjC code by just having the compiler overlay Double? for Double… Thanks, Jon > On Apr 16, 2017, at 11:44 AM, Xiaodi Wu <[email protected]> wrote: > > On Sun, Apr 16, 2017 at 1:14 PM, Jonathan Hull <[email protected] > <mailto:[email protected]>> wrote: > >> On Apr 16, 2017, at 10:42 AM, Xiaodi Wu via swift-evolution >> <[email protected] <mailto:[email protected]>> wrote: >> >> The point is that, when you manipulate two real numbers, sometimes there is >> no numeric result. You cannot simply wish this away with a new numeric type >> because it is not an artifact of _modeling_ real numbers but rather >> intrinsic to mathematics itself. > > I agree with the rest of what you said, but I have to disagree on this point. > What I think he is saying is that, in Swift, we really should be > representing the NaN case as an optional instead of a magic value on the type > itself (similar to how swift uses an optional instead of NSNotFound). > > In fact, that might be an actual option here. For ‘Double?’ the compiler > could use the bit pattern for NaN internally to represent .none (I believe it > does similar tricks to save space with other optional types). Then disallow > reference to NaN within swift code. Functions or operations which could > produce NaN would either have to produce an optional or trap in case of NaN. > (e.g. the trig functions would likely return an optional, and 0/0 would trap). > > I think it would actually lead to much better code because the compiler would > force you to have to explicitly deal with the case of optional/NaN when it is > possible. Migration would be tricky though... > > This is essentially a cosmetic renaming from `Double` to `Double?`. There are > rules for propagating NaN which numeric algorithms expect. For example, > `cos(.nan)` returns a value. If your design is to work, every function that > takes a `Double` will need to take a `Double?`. > > Just as Swift String conforms to Unicode standards, FloatingPoint conforms to > IEEE standards. You'd have to come up with enormous benefits to justify > breaking that. Doing so for Swift 4 is plainly a non-starter. > > Thanks, > Jon
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