It's pretty easy to write a simple radix-2 FFT for power-of-two sizes (e.g. 
the Wikipedia article on the Cooley-Tukey FFT has pseudocode).  For 
arbitrary precision arithmetic, there's not too much point in much fancier 
algorithms.

(FFTW's benchmark/testing code actually contains an arbitrary-precision FFT 
that we use for accuracy testing.)

I've been playing with a framework in Julia for adding FFT algorithms, and 
my plan is to include arbitrary-precision support.

On Wednesday, March 5, 2014 2:19:36 PM UTC-5, John Travers wrote:
>
> Does anyone have any suggestions of code or sources of inspiration for 
> arbitrary precision FFT routines? I was thinking of a type generic FFT a 
> bit like the current julia quadrature routine in base can be used with any 
> precision.
>
> I might try to implement a simple generic FFT code (obviously it will be 
> much slower than fftw) and was wondering if anyone has any 
> suggestions/experience with this?
>
>

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