Thanks for the clarification, but how is the numpy rounding directed? 
Round to nearest, ties to even?
http://en.wikipedia.org/wiki/IEEE_floating_point#Rounding_rules
Just curious, as I couldn't find a reference.

- Ray


At 07:44 AM 7/27/2014, you wrote:
>On Sun, Jul 27, 2014 at 3:16 PM, RayS <r...@blue-cove.com> wrote:
> > At 02:04 AM 7/27/2014, you wrote:
> >
> >>You won't be able to do it by accident or omission or a lack of
> >>discipline. It's not a tempting public target like, say, np.seterr().
> >
> > BTW, why not throw an overflow error in the large float32 sum() case?
> > Is it too expensive to check while accumulating?
>
>In the example that started this thread, there's no overflow (in the
>technical sense) occurring. Overflow for ints means wrapping around,
>and for floats it means exceeding the maximum possible value and
>overflowing to infinity.
>
>The problem here is that when summing up the values, the sum gets
>large enough that after rounding, x + 1 = x and the sum stops
>increasing. (For float32's all this requires is x > 16777216.) So
>while the final error is massive, the mechanism is just ordinary
>floating-point round-off error.
>
>-n
>
>--
>Nathaniel J. Smith
>Postdoctoral researcher - Informatics - University of Edinburgh
>http://vorpus.org
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