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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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import Control.Monad (forM_)
import Data.Number.CReal (CReal, showCReal)
import Text.Printf (printf)
ramfun :: CReal -> CReal
ramfun x = exp (pi * sqrt x)
-- Ramanujan's constant.
ramanujan :: CReal
ramanujan = ramfun 163
-- The last four Heegner numbers.
heegners :: [Int]
heegners = [19, 43, 67, 163]
-- The absolute distance to the nearest integer.
intDist :: CReal -> CReal
intDist x = abs (x - fromIntegral (round x))
main :: IO ()
main = do
let n = 35
printf "Ramanujan's constant: %s\n\n" (showCReal n ramanujan)
printf "%3s %34s%20s%s\n\n" " h " "e^(pi*sqrt(h))" "" " Dist. to integer"
forM_ heegners $ \h ->
let r = ramfun (fromIntegral h)
d = intDist r
in printf "%3d %54s %s\n" h (showCReal n r) (showCReal 15 d)