Hello,

On Tue, 20 Sep 2022, Aldy Hernandez wrote:

> > FWIW, in IEEE, 'abs' (like 'copy, 'copysign' and 'negate') are not
> > arithmetic, they are quiet-computational.  Hence they don't rise
> > anything, not even for sNaNs; they copy the input bits and appropriately
> > modify the bit pattern according to the specification (i.e. fiddle the
> > sign bit).
> >
> > That also means that a predicate like negative_p(x) that would be
> > implemented ala
> >
> >   copysign(1.0, x) < 0.0
> 
> I suppose this means -0.0 is not considered negative,

It would be considered negative if the predicate is implemented like 
above:
   copysign(1.0, -0.0) == -1.0

But really, that depends on what _our_ definition of negative_p is 
supposed to be.  I think the most reasonable definition is indeed similar 
to above, which in turn is equivalent to simply looking at the sign bit 
(which is what copysign() does), i.e. ...

> though it has
> the signbit set?  FWIW, on real_value's real_isneg() returns true for
> -0.0 because it only looks at the sign.

... this seems the sensible thing.  I just wanted to argue the case that 
set_negative (or the like) which "sets" the sign bit does not make the 
nan-ness go away.  They are orthogonal.

> > deal with NaNs just fine and is required to correctly capture the sign of
> > 'x'.  If frange::set_nonnegative is supposed to be used in such contexts
> > (and I think it's a good idea if that were the case), then set_nonnegative
> > does _not_ imply no-NaN.
> >
> > In particular I would assume that, given an VAYRING frange FR, that
> > FR.set_nonnegative() would result in an frange {[+0.0,+inf],+nan} .
> 
> That was my understanding as well, and what my original patch did.
> But again, I'm just the messenger.

Ah, I obviously haven't followed the thread carefully then.  If that's 
what it was doing then IMO it was the right thing.


Ciao,
Michael.

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