#19063: Coercions and basic arithmetic for complex balls
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Reporter: mmezzarobba | Owner:
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-6.9
Component: numerical | Resolution:
Keywords: arb | Merged in:
Authors: Marc Mezzarobba, | Reviewers: Clemens Heuberger,
Clemens Heuberger | Marc Mezzarobba
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/mmezzarob/19063-acb | Stopgaps:
Dependencies: #18546 |
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Comment (by jdemeyer):
Replying to [comment:27 mmezzarobba]:
> Replying to [comment:26 jdemeyer]:
> > Or perhaps `above_abs` is not exactly the same as `magnitude` since
the latter returns a real number instead of a ball. Still, it would be
nice to implement `magnitude` like `RIF`.
>
> Yes.
>
> Regarding `center()`, I'd prefer to keep the name `mid()`, if only to
emphazise that the midpoint is part of the defining data of the ball (and
thus always is exact, while `mpfi_mid()` involves a rounding), but I have
nothing against adding `center()` as an alias.
For most practical purposes, the rounding or not is just an implementation
detail. Personally, I would prefer to use just one method name (for
example, I don't like that some types implement `prec()` and some
implement `precision()` but not all implement both: that's just
confusing). Given that `center()` has been around for a while, I would
prefer to use `center()` (and only that) also for arb.
--
Ticket URL: <http://trac.sagemath.org/ticket/19063#comment:30>
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