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Gilles commented on MATH-657:
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I've just posted a mail on "dev".
IMO, the main argument is consistency. Also with how reals (i.e. {{double}}) work; IIUC, MATH-164
triggered a change for that same reason.
Arne Plöse is a user and [reported|MATH-620] that the previous behaviour was not fine for
him.
I don't think that this one change can have a discernible performance impact.
It might not be necessary to map all {{Complex}} instances that have an infinite component
to a single object. I pointed it as a convenient justification for fixing a bug (and for not
fixing the other two points reported by Arne in MATH-620).
> Division by zero
> ----------------
>
> Key: MATH-657
> URL: https://issues.apache.org/jira/browse/MATH-657
> Project: Commons Math
> Issue Type: Bug
> Reporter: Gilles
> Assignee: Gilles
> Priority: Minor
> Fix For: 3.0
>
>
> In class {{Complex}}, division by zero always returns NaN. I think that it should return
NaN only when the numerator is also {{ZERO}}, otherwise the result should be {{INF}}. See
[here|http://en.wikipedia.org/wiki/Riemann_sphere#Arithmetic_operations].
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