I disagree with this change. One of the main purposes of interval
arithmetic is to be able to take a function f(x) that operates on
floats, and pass in intervals instead, to determine the possible range
of outputs a given input interval could produce. This change violates
that paradigm. The author of f(x) shouldn't need to care whether they
are operating on floats or intervals.

david

On Sep 17, 3:53 am, Jason Grout <jason-s...@creativetrax.com> wrote:
> Currently, round(), floor(), and ceil() on interval objects return
> intervals.
>
> There is a patch up at #2899 that changes these functions to return
> integers (round-> "round the midpoint", floor -> largest integer below
> the bottom of the interval, etc.).  I think the reasoning is that
> round(), floor, ceil, etc. should always return integers.
>
> What do people think?  Should we close the ticket, or should we merge
> the patch (after possible rebasing).
>
> To illustrate:
>
> Currently:
>
> sage: R = RealIntervalField(100)
> sage: a = R(9.5, 11.3); a.str(style='brackets')
> '[9.5000000000000000000000000000000 .. 11.300000000000000710542735760101]'
> sage: floor(a).str(style='brackets')
> '[9.0000000000000000000000000000000 .. 11.000000000000000000000000000000]'
>
> Proposed:
>
> sage: floor(a)
> 9
>
> Thanks,
>
> Jason
>
> --
> Jason Grout
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