Implmentation of R2C FFT

[smu160]

@calebzulawski Draft for #23

[smu160]

Hi @calebzulawski,

We now have a working version of R2C FFT. This version is clearly sub-optimal as I made correctness the main priority. I'll measure and tune the implementation for now. In the interim, I recall you mentioned, inter alia, ideas about the public API and the use of traits.

I'm curious to hear your thoughts. Thank you!

Best, Saveliy

[calebzulawski]

Looks good! I think starting with correctness is the way to go. Regarding traits, I think I will probably submit a PR in the future after this has been merged.

[codecov-commenter]

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Codecov Report

Attention: Patch coverage is 99.53052% with 1 line in your changes missing coverage. Please review.

Project coverage is 99.33%. Comparing base (7048416) to head (d099647).

Files with missing lines	Patch %	Lines
utilities/src/lib.rs	0.00%	1 Missing :warning:

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #26      +/-   ##
==========================================
+ Coverage   99.16%   99.33%   +0.16%     
==========================================
  Files           8        9       +1     
  Lines         841     1053     +212     
==========================================
+ Hits          834     1046     +212     
  Misses          7        7              

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[smu160]

Looks good! I think starting with correctness is the way to go. Regarding traits, I think I will probably submit a PR in the future after this has been merged.

Hi @calebzulawski,

I believe we're finally at a point where we can scrutinize the implementation, make necessary changes, and merge. Please feel free to point out any deficiencies and I can work on fixing them.

Thank you!!