(in)exactness of complex numbers
David C. Ullrich
ullrich at math.okstate.edu
Fri Aug 3 09:20:15 EDT 2001
On Fri, 03 Aug 2001 07:07:10 GMT, bokr at accessone.com (Bengt Richter)
wrote:
[...]
>
>I've never done anything with exact complex numbers, so I don't know how it could
>really be used. I guess you could say the angles in an FFT are implicitly exact,
That was exactly what got me to speculating on how complexes with
exact arg might be interesting - one could have a _lossless_
FFT/inverseFFT pair.
>but I don't know how you could do the whole thing exactly, except maybe a trivial case.
And that's exactly why I said "never mind" a day later.
>IIRC, Henry Baker(?) wrote something about exact integer cartesian-represented complex
>in some ACM SIG article, but I don't remember much more than that.
>
David C. Ullrich
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