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 こまるこまる
提出日時 2020-10-07 12:45:26
言語 Haskell
(9.8.2)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 2,688 bytes
コンパイル時間 258 ms
コンパイル使用メモリ 152,576 KB
最終ジャッジ日時 2024-04-27 05:01:33
合計ジャッジ時間 979 ms
ジャッジサーバーID
（参考情報） 		judge3 / 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:13:1: 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.
   |
13 | import qualified GHC.Integer.GMP.Internals  as GMP
   | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

ソースコード

diff # 

{-# LANGUAGE BangPatterns      #-}
{-# LANGUAGE OverloadedStrings #-}

import           Control.Monad.State
import           Data.Bits
import           Data.Bool
import qualified System.IO                  as SysIO
import qualified Data.ByteString.Char8      as BSC8
import qualified Data.ByteString.Lazy.Char8 as BSLC8
import qualified Data.ByteString.Builder    as BSB
import qualified Data.Vector.Generic        as VG
import qualified Data.Vector.Unboxed        as VU
import qualified GHC.Integer.GMP.Internals  as GMP

infixl 8 .<<., .>>.
infixl 6 .^.
(.<<.) :: Bits b => b -> Int -> b
(.<<.) = unsafeShiftL
{-# INLINE (.<<.) #-}
(.>>.) :: Bits b => b -> Int -> b
(.>>.) = unsafeShiftR
{-# INLINE (.>>.) #-}
(.^.) :: Bits b => b -> b -> b
(.^.) = xor
{-# INLINE (.^.) #-}
fi :: Int -> Integer
fi = fromIntegral
{-# INLINE fi #-}
fI :: Integer -> Int
fI = fromInteger
{-# INLINE fI #-}
ctz :: FiniteBits fb => fb -> Int
ctz = countTrailingZeros
{-# INLINE ctz #-}
powModInt :: Int -> Int -> Int -> Int
powModInt !a !n !mo = fI $ GMP.powModInteger (fi a) (fi n) (fi mo)
{-# INLINE powModInt #-}

millerRabin :: Int -> Bool
millerRabin k
  | k <= 3 = k == 2 || k == 3
  | even k = False
  | otherwise = mr k
  where
    mr :: Int -> Bool
    mr 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 = ctz m
        !d = m .>>. s
        loop :: [Int] -> Bool
        loop [] = True
        loop (a:as)
          | powModInt a d n /= 1 && allok = False
          | otherwise = loop as
          where allok = all (\r -> (powModInt a ((1 .<<. r) * d) n) /= m) [0..(s - 1)]

main :: IO ()
main = do
  q <- readLn :: IO Int
  xs <- VU.unfoldrN q (runStateT $ rInt) <$> BSLC8.getContents
  putBuilder $ v2BLinesWith (\b -> BSB.byteString $ BSC8.pack $ show b ++ bool " 0" " 1" (millerRabin b)) xs

v2BLinesWith :: VG.Vector v t => (t -> BSB.Builder) -> v t -> BSB.Builder
v2BLinesWith showFct = VG.foldr (\ a -> (showFct a <>) . (BSB.char7 '\n' <>)) mempty
{-# INLINE v2BLinesWith #-}

putBuilder :: BSB.Builder -> IO ()
putBuilder = BSB.hPutBuilder SysIO.stdout
{-# INLINE putBuilder #-}

rInt :: StateT BSLC8.ByteString Maybe Int
rInt = StateT $ BSLC8.readInt . BSLC8.dropWhile (<'!')
{-# INLINE rInt #-}
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