Hi,

We don't use quite this FFT in MPIR. The best reference on the FFT that I
know of is by Joerg Arndt.

https://www.jjj.de/fxt/fxtbook.pdf

It doesn't cover the FFT we use, but it gives you the basic ideas that are
necessary to understand it.

Bill.

On 25 April 2018 at 03:51, Tanushree Banerjee <
[email protected]> wrote:

> I was going through the documentation of MPIR (http://mpir.org/mpir-3.0.0.
> pdf), specially section 16.1.5 where they refer to the use of Fermat's
> style FFT. I tried to follow the reference but couldn't quite understand
> this technique, can anyone explain to me how this Fermat's FFT work? I
> don't understand how and why the modulus changes from (2^N+1) to (2M+k+3)
> using FFT-k splitting? If there is some documentation on this with better
> explanation it would be very helpful! Thanks a lot for your patience
>
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