galois-fft alternatives and similar packages
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8.5 0.0 galois-fft VS galois-fieldFinite field and algebraic extension field arithmetic
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The library provides Fast Fourier Transforms over finite fields with functionality for polynomial evaluation, polynomial interpolation, and computation of Lagrange polynomials.
In a finite field with elements. We can define a discrete Fourier transform by selecting roots of unity .
import Protolude import Data.Curve.Weierstrass.BN254 (Fr) import Data.Pairing.BN254 (getRootOfUnity) import FFT k :: Int k = 5 polySize :: Int polySize = 2^k leftCoeffs, rightCoeffs :: [Fr] leftCoeffs = map fromIntegral [1..polySize] rightCoeffs = map fromIntegral (reverse [1..polySize]) main :: IO () main = do print (interpolate getRootOfUnity leftCoeffs) print (fftMult getRootOfUnity leftCoeffs rightCoeffs) pure ()
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