> On Oct 24, 2016, at 8:49 AM, Joe Groff via swift-dev <swift-dev@swift.org> 
> wrote:
>> On Oct 22, 2016, at 10:39 AM, Chris Lattner <clatt...@apple.com> wrote:
>> 
>>> On Oct 20, 2016, at 2:59 PM, Joe Groff via swift-dev <swift-dev@swift.org> 
>>> wrote:
>>>> 
>>>> copysign( ) is a reason to not pick the first option.  I’m not very 
>>>> worried about it, but it is a reason.  I see no problem with the second 
>>>> option.
>>> 
>>> As we discussed in person this morning, de-canonicalizing b11 might be a 
>>> better compromise to minimize the potential impact of layout optimizations. 
>>> That would leave the implementation with 2^51 NaN representations (50 
>>> significand bits, plus the sign bit) in Double to play with, which ought to 
>>> be enough for anyone™. I liked the idea of using the sign bit originally 
>>> since testing for NaNs and sign bits is something that can be easily done 
>>> using common FPU instructions without crossing domains, but as you noted, 
>>> it sounds like comparison and branching operations tend to do that anyway, 
>>> so masking and branching using integer operations shouldn't be too much of 
>>> a burden. Jordan's question of to what degree we consider different NaN 
>>> encodings to be distinct semantic values is still an interesting one, but 
>>> if we take only the b11 NaN payloads away, that should minimize the degree 
>>> to which the implementation needs to be considered as a constraint in 
>>> having that discussion.
>> 
>> To your original email, I agree this is an important problem to tackle, and 
>> that we should handle the inhabitant masking when the FP value is converted 
>> to optional.
>> 
>> That said, I don’t understand the above.  With the “b11” representation, 
>> what how is a "Double?" tested for “.None"? One advantage of using the 
>> signbit is that “is negative” comparisons are very cheap on risc systems, 
>> because you don’t have to materialize a large/weird immediate.
> 
> That's why I liked using the sign bit originally too. Steve noted that, since 
> any operation on an Optional is probably going to involve testing and 
> branching before revealing the underlying float value, and float comparisons 
> and branches tend to unavoidably burn a couple cycles engaging the integer 
> ALU, there's unlikely to be much benefit on ARM or Intel avoiding integer 
> masking operations. (More strictly RISCy architectures like Power would be 
> more negatively impacted, perhaps.) On ARM64 at least, the bitmask for a b11 
> NaN is still representable as an immediate, since it involves a single 
> contiguous run of 1 bits.

There isn't any efficient way of just testing the sign bit of a value using FP 
instructions that I can see.  You could maybe take advantage of the vector 
registers overlapping the FP registers and use integer vector operations, but 
it would take a lot of code and have false-dependency problems.  So in both 
representations, the most efficient test sequence seems to be (1) get value in 
integer register (2) compare against some specific integer value.  And in that 
case, in both representations it seems to me that the obvious extra-inhabitant 
sequence is 0xFFFFFFFF, 0xFFFFFFFE, ...

John.
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