This repository has been archived on 2025-04-04. You can view files and clone it, but cannot push or open issues or pull requests.
mathematical-algorithms/app/Main.hs
2025-03-30 00:19:22 +09:00

65 lines
1.9 KiB
Haskell

module Main (main) where
import Control.Exception
import Poly
import System.Random
import System.TimeIt
import Control.Monad
import PolyFast
main :: IO ()
main = do
do
let f :: Poly Int = makePoly [1, 2, 3]
let g :: Poly Int = makePoly [4, 5]
putStrLn $ "f: " <> show f <> ", g: " <> show g
putStrLn $ "f + g: " <> show (f + g)
putStrLn $ "Naive f * g: " <> show (f * g)
putStrLn $ "Karatsuba f * g: " <> show (normalize $ karatsubaMult f g)
putStrLn ""
experimentFor 512
experimentFor 1024
experimentFor 2048
fastKaratsubaFor 4096
fastKaratsubaFor 8192
fastKaratsubaFor 16384
fastKaratsubaFor 32768
fastKaratsubaFor 65536
where
experimentFor n = do
setStdGen $ mkStdGen 10
let randomPoly size = makePoly <$> replicateM size (randomRIO (-100, 100))
putStrLn $ "Size " <> show n
f :: Poly Int <- randomPoly n
g :: Poly Int <- randomPoly n
putStrLn "naive:"
_ <- timeIt $ evaluate (f * g)
putStrLn "Karatsuba:"
_ <- timeIt $ evaluate (karatsubaMult f g)
putStrLn "Fast Karatsuba:"
_ <- timeIt $ evaluate (karatsuba 0 (+) (-) (*) (unwrapPoly f) (unwrapPoly g))
putStrLn "Finished"
putStrLn ""
karatsubaFor n = do
setStdGen $ mkStdGen 10
let randomPoly size = makePoly <$> replicateM size (randomRIO (-100, 100))
putStrLn $ "Size " <> show n
f :: Poly Int <- randomPoly n
g :: Poly Int <- randomPoly n
putStrLn "Karatsuba:"
_ <- timeIt $ evaluate (karatsubaMult f g)
putStrLn "Finished"
putStrLn ""
fastKaratsubaFor n = do
setStdGen $ mkStdGen 10
let randomPoly size = makePoly <$> replicateM size (randomRIO (-100, 100))
putStrLn $ "Size " <> show n
f :: Poly Int <- randomPoly n
g :: Poly Int <- randomPoly n
putStrLn "Fast Karatsuba:"
_ <- timeIt $ evaluate (karatsuba 0 (+) (-) (*) (unwrapPoly f) (unwrapPoly g))
putStrLn "Finished"
putStrLn ""