> On Oct 24, 2017, at 14:55, Ben Cohen via swift-dev <swift-dev@swift.org> 
> wrote:
> 
> There really is no way to square this circle. Every option is going to have 
> downsides. We have to balance correctness, least surprise/most expected 
> behavior for most people, and consistency. For me, making generic use of 
> Equatable and Comparable stick to the documented conformance generically, 
> while keeping FP-specific uses the way they are, is the least bad option. 

Hi Ben,

Out of curiosity, what do you think about breaking Equatable into two 
protocols: Equatable and Substitutable? The former would be defined in terms of 
mathematics, while the latter is simple to define and usable by collections, 
etc. For example, while +0 equals -0, they are not substitutable (because 1.0 / 
+0.0 == +inf BUT 1.0 / -0.0 == -inf). In the case of NaNs, substitutability 
would depend on the NaN payload being the same or not (because some later 
subsystem might interpret the NaN payload). Finally, and unless I’m missing 
something, floating-point “substitutability” would translate to bitwise 
equality at the hardware level, which is nice from a performance perspective.

On the topic of sorting, we could do the same thing, where we break Comparable 
into two protocols: Comparable and Sortable. The former would be defined in 
terms of mathematics, while the latter has no mathematical obligation and 
therefore values like +0 and -0 can be consistently sorted. The same goes of 
NaNs with payloads (they can be sorted). And finally, at the hardware level, 
this should be quite efficient because of how the floating point bits are laid 
out (in that an integer comparison of FP bits should work for this Sortable 
proposal).

Dave
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