On Tuesday, 17 December 2013 at 21:57:54 UTC, Andrei Alexandrescu
wrote:
In an interval arithmetic approach numbers would compare
actually equal, i.e. 10 == IntervalInt(5, 100) would be true.
Why is that? I would think that 10 == Interval(10,10), but
interval(5,100).contains(10) ? True interval arithmetic is
difficult to implement though, since !(a<b) does not imply (a>=b)
if I got it right… So you you might have to introduce a
tri-boolean type to represent uncertainty, or prevent those
operations, or accept inconsistencies… Also f(a) should be the
min/max values of f over the interval a… Tricky to compute, you
can try numerically…
