結果

問題 No.3030 ミラー・ラビン素数判定法のテスト
ユーザー かりあげクンかりあげクン
提出日時 2020-09-24 18:39:45
言語 Haskell
(9.8.2)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,155 bytes
コンパイル時間 181 ms
コンパイル使用メモリ 152,320 KB
最終ジャッジ日時 2024-11-16 23:32:56
合計ジャッジ時間 481 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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コンパイルメッセージ
Loaded package environment from /home/judge/.ghc/x86_64-linux-9.8.2/environments/default
[1 of 2] Compiling Main             ( Main.hs, Main.o )

Main.hs:9:1: error: [GHC-87110]
    Could not load module ‘GHC.Integer.GMP.Internals’.
    It is a member of the hidden package ‘integer-gmp-1.1’.
    Use -v to see a list of the files searched for.
  |
9 | import qualified GHC.Integer.GMP.Internals         as GMP
  | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

ソースコード

diff # 

{-# LANGUAGE BangPatterns #-}
import qualified Control.Arrow                     as Arrow
import           Data.Bits                         (Bits (unsafeShiftL, unsafeShiftR), FiniteBits (countTrailingZeros))
import           Data.Bool                         (bool)
import qualified Data.ByteString.Char8             as BSC8
import qualified Data.List                         as List
import qualified Data.Vector.Unboxed               as VU
import qualified Data.Vector.Fusion.Stream.Monadic as MS
import qualified GHC.Integer.GMP.Internals         as GMP
-------------------------------------------------------------------------------
main :: IO ()
main = do
  n  <- parse1
  xs <- parseN n
  rep n (\i -> BSC8.putStrLn $ solve $ xs VU.! i)

solve :: Int -> BSC8.ByteString
solve n = BSC8.pack $ bool (show n ++ " 0") (show n ++ " 1") (isPrime n)
-------------------------------------------------------------------------------
isPrime :: Int -> Bool
isPrime k
  | k <= 3 = k == 2 || k == 3
  | even k = False
  | otherwise = millerRabin k
  where
    millerRabin :: Int -> Bool
    millerRabin n
      | n < 2047                = loop [2]
      | n < 1373653             = loop [2,3]
      | n < 9080191             = loop [31,73]
      | n < 25326001            = loop [2,3,5]
      | n < 4759123141          = loop [2,7,61]
      | n < 1122004669633       = loop [2,13,23,1662803]
      | n < 2152302898747       = loop [2,3,5,7,11]
      | n < 3474749660383       = loop [2,3,5,7,11,13]
      | n < 341550071728321     = loop [2,3,5,7,11,13,17]
      | otherwise               = loop [2,325,9375,28178,450775,9780504,1795265022]
      where
        !m = n - 1
        !s = countTrailingZeros m
        !d = unsafeShiftR m s
        check1 :: Int -> Bool
        check1 a = powModInt a d n /= 1
        {-# INLINE check1 #-}
        check2 :: Int -> Int -> Bool
        check2 a i = (powModInt a (d * (unsafeShiftL 1 i)) n) /= m
        {-# INLINE check2 #-}
        loop [] = True
        loop (a:as)
          | check1 a && loop2 a [0..(s-1)] = False
          | otherwise = loop as
          where
            loop2 :: Int -> [Int] -> Bool
            loop2 _ []      = True
            loop2 t_ (r:rs) = check2 t_ r && loop2 t_ rs

powModInt :: Int -> Int -> Int -> Int
powModInt a n mo = fromInteger $ GMP.powModInteger (fromIntegral a) (fromIntegral n) (fromIntegral mo)
{-# INLINE powModInt #-}
-------------------------------------------------------------------------------
type Parser a = BSC8.ByteString -> Maybe (a, BSC8.ByteString)
parseInt :: Parser Int
parseInt = fmap (Arrow.second BSC8.tail) . BSC8.readInt
parse1 :: IO Int
parse1 = readLn
parseN :: Int -> IO (VU.Vector Int)
parseN n = VU.replicateM n parse1
-------------------------------------------------------------------------------
rep :: (Monad m) => Int -> (Int -> m ()) -> m ()
rep n = flip MS.mapM_ (stream 0 n)
{-# INLINE rep #-}

stream :: (Monad m) => Int -> Int -> MS.Stream m Int
stream !l !r = MS.Stream step l
  where
    step x
        | x < r = return $ MS.Yield x (x + 1)
        | otherwise = return MS.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] stream #-}
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