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Solution to exercise in PureScript by Example book to estimate pi
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module Pi where | |
import Control.Monad.Eff (Eff(..), forE) | |
import Control.Monad.Eff.Random (RANDOM(..), random) | |
import Control.Monad.ST (ST(..), modifySTRef, newSTRef, readSTRef) | |
import Data.Array ((:), filter, length) | |
import Data.Int (toNumber) | |
import Data.Tuple (Tuple(..)) | |
import Prelude (($), (<=), (+), (*), (/), bind, return, unit) | |
pi :: forall eff r. Int -> Eff (st :: ST r, random :: RANDOM | eff) Number | |
pi n = do | |
ref <- newSTRef ([] :: Array (Tuple Number Number)) | |
forE 0.0 (toNumber n) $ \i -> do | |
x <- random | |
y <- random | |
modifySTRef ref (\o -> Tuple x y : o) | |
return unit | |
tuples <- readSTRef ref | |
all <- return $ toNumber $ length tuples | |
inside <- return $ toNumber $ length $ filter (\(Tuple x y) -> x*x + y*y <= 1.0) tuples | |
return (4.0 * inside / all) |
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Ah... DUH... pfffft... what the hell was I thinking about needing all? (-‸ლ)