Great +1

On Thu, Apr 9, 2020 at 3:59 PM Gilles Sadowski <gillese...@gmail.com> wrote:

> Le jeu. 9 avr. 2020 à 23:20, Alex Herbert <alex.d.herb...@gmail.com> a
> écrit :
> >
> >
> >
> > > On 9 Apr 2020, at 21:36, Gilles Sadowski <gillese...@gmail.com> wrote:
> > >
> > > Le jeu. 9 avr. 2020 à 22:20, Alex Herbert <alex.d.herb...@gmail.com>
> a écrit :
> > >>
> > >>
> > >>
> > >>> On 9 Apr 2020, at 16:32, Gilles Sadowski <gillese...@gmail.com>
> wrote:
> > >>>
> > >>>
> > >>>
> > >>>> Given this I am thinking that using ZERO when possible is a better
> > >>>> option and avoid 0 / -1.
> > >>>
> > >>> Hmm, then I'm both +0 and -0 (which is the same, right?)
> > >>> on this issue. ;-)
> > >>
> > >> Ironically the conversion to a double is a minor bug:
> > >>
> > >> Fraction.of(0, 1).doubleValue() == 0.0
> > >> Fraction.of(0, -01).doubleValue() == -0.0
> > >>
> > >> IEEE754 arithmetic for 0.0 / -1.0 creates a -0.0.
> > >>
> > >> Do we want to support -0.0?
> > >
> > > Why prevent it since it looks expected from the above call?
> >
> > Well, in the against argument -0.0 is an artefact of the IEEE floating
> point format. It is not a real number.
> >
> > If we allow 0 / -1 as a fraction to mean something then we should really
> support it fully which means carrying the sign of the denominator through
> arithmetic as would be done for -0.0 (from the top of my head):
> >
> > -0.0 + -0.0 = -0.0
> > -0.0 + 0.0 = 0.0
> > 0.0 - -0.0 = 0.0
> > 0.0 - 0.0 = 0.0
> > 0.0 * 42 = 0.0
> > -0.0 * 42 = -0.0
> >
> > And so on...
> >
> > It is easier to exclude this representation from ever existing by
> changing the factory constructor to not allow it.
> >
> > Note that Fraction.of(-0.0) creates 0 / 1. So the support for 0 / 1 is
> inconsistent with conversion to and from double:
> >
> > Fraction.of(-0.0).doubleValue() == 0.0
> > Fraction.of(0, -1).doubleValue() == -0.0
> >
> > I have checked and Fraction.of(0, 1).compareTo(Fraction.of(0, -1)) is 0.
> They evaluate to equal and have the same hash code. So this behaviour is
> different from Double.compareTo, Double.equals and Double.hashCode which
> distinguishes the two values.
> >
> > If fraction represented a signed number using the signed numerator and
> an unsigned denominator, reduced to smallest form, then the representation
> of zero is fixed. It would be 0 / 1 as you cannot have -0 as an integer.
>
> This seems to be the winning argument to transform all zero to
> canonical form.
>
> > This issue has been created by the support for the sign in either part
> so that Integer.MIN_VALUE can be used as a denominator. This is a nice
> change to allow support for fractions up to 2^-31. But creates this signed
> zero issue.
> >
> > It leads me to think we should have a canonical representation of zero
> as 0 / 1 and prevent creation of 0 / -1 by careful management of class
> creation.
>
> +1
>
> Best,
> Gilles
>
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