On Mon, Sep 5, 2022 at 11:14 AM Richard Biener
<richard.guent...@gmail.com> wrote:
>
> On Mon, Sep 5, 2022 at 11:06 AM Jakub Jelinek <ja...@redhat.com> wrote:
> >
> > On Mon, Sep 05, 2022 at 11:00:54AM +0200, Richard Biener wrote:
> > > On Mon, Sep 5, 2022 at 8:24 AM Aldy Hernandez via Gcc-patches
> > > <gcc-patches@gcc.gnu.org> wrote:
> > > >
> > > > Intersecting two ranges where one is a NAN is keeping the sign bit of
> > > > the NAN range.  This is not correct as the sign bits may not match.
> > > >
> > > > I think the only time we're absolutely sure about the intersection of
> > > > a NAN and something else, is when both are a NAN with exactly the same
> > > > properties (sign bit).  If we're intersecting two NANs of differing
> > > > sign, we can decide later whether that's undefined or just a NAN with
> > > > no known sign.  For now I've done the latter.
> > > >
> > > > I'm still mentally working on intersections involving NANs, especially
> > > > if we want to keep track of signbits.  For now, let's be extra careful
> > > > and only do things we're absolutely sure about.
> > > >
> > > > Later we may want to fold the intersect of [NAN,NAN] and say [3,5]
> > > > with the posibility of NAN, to a NAN, but I'm not 100% sure.
> > >
> > > The intersection of [NAN, NAN] and [3, 5] is empty.  The intersection
> > > of [NAN, NAN] and VARYING is [NAN, NAN].
> >
> > I think [3.0, 5.0] printed that way currently means U maybe NAN,
> > it would be [3.0, 5.0] !NAN if it was known not to be NAN.
>
> Uh, that's confusing.  So [3, 5] U maybe NAN intersected with
> ][ NAN is ][ NAN.  [3, 5] !NAN intersected with ][ NAN is ][ !NAN.

I'm confused.  What's ][ ??.

For clarity in the discussion, let's say ?NAN, NAN, and !NAN for the
NAN property.

I would expect:
[3,5] ?NAN U NAN = [3,5] ?NAN
[3,5] !NAN U NAN = [3,5] ?NAN
[3,5] !NAN ^ NAN = []
NAN !SIGN ^ NAN SIGN = [] (differing signs)
[3,5] ?NAN ^ NAN = NAN
[3,5] !NAN ^ NAN = []

Also, definite NANs must have a real_nan() on both sides of the
endpoints.  They must be the same.  And that real_nan() could have a
sign bit.  So we could have:
  [NAN, NAN] ?SIGN  (sign unknown-- default)
  [NAN, NAN] SIGN (negative NAN)
  [NAN, NAN] !SIGN (positive NAN)

The above is enforced by the setter and verify_range.

Note, that setting the definite NAN property (fp_prop::YES) to a
range, makes it a NAN.  That is, we will forcibly change the range to
[NAN, NAN].  There's also an assert making sure you're not setting
!NAN on a [NAN, NAN].

A varying has all the property bits set to unknown.  So effectively
?NAN and ?SIGN.

Do you agree?

Aldy

>
> In fact [3, 5] U maybe NAN is just [3, 5] U NAN, there's no "maybe" ranges,
> if the value may be NAN then NAN is in the value-range.  So it's either
> [3, 5] U NAN or [3, 5] (without U NAN).
>
> Richard.
>
> >
> >         Jakub
> >
>

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