#583810 (Haskell) No.8030 ミラー・ラビン素数判定法のテスト

提出ソース

結果

問題	No.8030 ミラー・ラビン素数判定法のテスト
ユーザー	こまる
提出日時	2020-11-24 21:42:13
言語	Haskell (9.8.2)
結果	CE (最新) AC (最初)
実行時間	-
コード長	15,292 bytes
コンパイル時間	117 ms
コンパイル使用メモリ	147,840 KB
最終ジャッジ日時	2024-11-14 23:55:12
合計ジャッジ時間	457 ms
ジャッジサーバーID （参考情報）	judge4 / judge2

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ただし、clay言語の場合は開発者のデバッグのため、公開されます。

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:46:12: error: [GHC-58481]
    parse error on input ‘<-’
    Suggested fix: Possibly caused by a missing 'do'?
   |
46 |         ys <- VUM.unsafeNew 2 :: ST s (VUM.STVector s Int)
   |            ^^

ソースコード

raw source code

{-# OPTIONS_GHC -mavx2            #-}
{-# OPTIONS_GHC -O3               #-}
{-# LANGUAGE BangPatterns         #-}
{-# LANGUAGE BinaryLiterals       #-}
{-# LANGUAGE DefaultSignatures    #-}
{-# LANGUAGE FlexibleInstances    #-}
{-# LANGUAGE MagicHash            #-}
{-# LANGUAGE OverloadedLists      #-}
{-# LANGUAGE OverloadedStrings    #-}
{-# LANGUAGE TypeApplications     #-}
{-# LANGUAGE UndecidableInstances #-}

import           Control.Monad
import           Control.Monad.Cont
import           Control.Monad.Fix
import           Control.Monad.ST
import           Control.Monad.State
import           Data.Bits
import           Data.Bool
import           Data.Char
import           Data.Coerce
import           Data.IORef
import           Data.Int
import           Data.Maybe
import           Data.STRef.Strict
import           Data.Word
import           GHC.Exts
import           System.CPUTime
import           System.IO
import           Unsafe.Coerce
import qualified GHC.Integer.GMP.Internals         as GMP
import qualified Data.ByteString                   as BS
import qualified Data.ByteString.Builder           as BSB
import qualified Data.ByteString.Char8             as BSC8
import qualified Data.Vector.Fusion.Stream.Monadic as VFSM
import qualified Data.Vector.Generic               as VG
import qualified Data.Vector.Unboxed               as VU
import qualified Data.Vector.Unboxed.Mutable       as VUM

main :: IO ()
main = do
  n  <- readLn :: IO Int
  rep n $ \_ -> do
    x <- getInt
    let xs = VU.create $ do
        ys <- VUM.unsafeNew 2 :: ST s (VUM.STVector s Int)
        VUM.unsafeWrite ys 0 x
        VUM.unsafeWrite ys 1 (bool (0 :: Int) (1 :: Int) (millerRabin x))
        return ys
    printVecInSpcSepLn xs

millerRabin :: Int -> Bool
millerRabin k
  | k <= 3 = k == 2 || k == 3
  | k .&. 1 == 0 = 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 = ctz m
        !d = m .>>. s
        loop :: VU.Vector Int -> Bool
        loop vec = runST $ do
          ret <- newSTRef True
          withBreakST $ \break1 -> do
            VU.forM_ vec $ \a -> do
              let
                check1 = powModInt a d n /= 1
                check2 = check3 a
              when (check1 && check2) $ do
                lift $ writeSTRef ret False
                break1 ()
          readSTRef ret
          where
            check3 :: Int -> Bool
            check3 aa = runST $ do
              retRef <- newSTRef True
              withBreakST $ \break2 -> rep s $ \r -> when (powModInt aa ((1 .<<. r) * d) n == m) $ do
                lift $ writeSTRef retRef False
                break2 ()
              readSTRef retRef

powModInt :: Int -> Int -> Int -> Int
powModInt a n mo = fI $ GMP.powModInteger (fi a) (fi n) (fi mo)
{-# INLINE powModInt #-}

recipModInt :: Int -> Int -> Int
recipModInt a mo = fI $ GMP.recipModInteger (fi a) (fi mo)
{-# INLINE recipModInt #-}

fi :: Int -> Integer
fi = fromIntegral
{-# INLINE fi #-}

fI :: Integer -> Int
fI = fromInteger
{-# INLINE fI #-}

clz :: FiniteBits fb => fb -> Int
clz = countLeadingZeros
{-# INLINE clz #-}

ctz :: FiniteBits fb => fb -> Int
ctz = countTrailingZeros
{-# INLINE ctz #-}

encode32x2 :: Int -> Int -> Int
encode32x2 x y = x .<<. 32 .|. y
{-# INLINE encode32x2 #-}

decode32x2 :: Int -> (Int, Int)
decode32x2 xy =
    let !x = xy .>>>. 32
        !y = xy .&. 0xffffffff
    in (x, y)
{-# INLINE decode32x2 #-}

ceilPow2 :: Int -> Int
ceilPow2 n
  | n > 1     = (-1) .>>>. clz (n - 1) + 1
  | otherwise = 1
{-# INLINE ceilPow2 #-}

floorPow2 :: Int -> Int
floorPow2 n
  | n >= 1    = 1 .<<. (63 - clz n)
  | otherwise = 0
{-# INLINE floorPow2 #-}

bitReverse :: Int -> Int
bitReverse
  = unsafeCoerce
  . step 32 0xffffffff00000000 0x00000000ffffffff
  . step 16 0xffff0000ffff0000 0x0000ffff0000ffff
  . step 08 0xff00ff00ff00ff00 0x00ff00ff00ff00ff
  . step 04 0xf0f0f0f0f0f0f0f0 0x0f0f0f0f0f0f0f0f
  . step 02 0xcccccccccccccccc 0x3333333333333333
  . step 01 0xaaaaaaaaaaaaaaaa 0x5555555555555555
  . unsafeCoerce
  where
    step :: Int -> Word64 -> Word64 -> Word64 -> Word64
    step i ml mr = \ !x -> (x .&. ml) .>>. i .|. (x .&. mr) .<<. i
    {-# INLINE step #-}

infixr 8 .>>@.
infixl 8 .<<., .>>., .>>>.
infixl 6 .^.

(.<<.) :: Bits b => b -> Int -> b
(.<<.) = unsafeShiftL
{-# INLINE (.<<.) #-}

(.>>.) :: Bits b => b -> Int -> b
(.>>.) = unsafeShiftR
{-# INLINE (.>>.) #-}

(.>>>.) :: Int -> Int -> Int
(.>>>.) (I# x#) (I# i#) = I# (uncheckedIShiftRL# x# i#)
{-# INLINE (.>>>.) #-}

(.^.) :: Bits b => b -> b -> b
(.^.)  = xor
{-# INLINE (.^.)  #-}

(.>>@.) :: Word32 -> Int -> Word32
x .>>@. k = x .>>. k .|. x .<<. ((-k) .&. 31)
{-# INLINE (.>>@.) #-}

rep :: Monad m => Int -> (Int -> m ()) -> m ()
rep n = flip VFSM.mapM_ (streamG 0 (n - 1) const 0 (+) 1)
{-# INLINE rep #-}

rep' :: Monad m => Int -> (Int -> m ()) -> m ()
rep' n = flip VFSM.mapM_ (streamG 0 n const 0 (+) 1)
{-# INLINE rep' #-}

rep1 :: Monad m => Int -> (Int -> m ()) -> m ()
rep1 n = flip VFSM.mapM_ (streamG 1 (n - 1) const 0 (+) 1)
{-# INLINE rep1 #-}

rep1' :: Monad m => Int -> (Int -> m ()) -> m ()
rep1' n = flip VFSM.mapM_ (streamG 1 n const 0 (+) 1)
{-# INLINE rep1' #-}

rev :: Monad m => Int -> (Int -> m ()) -> m ()
rev n = flip VFSM.mapM_ (streamRG (n - 1) 0 const 0 (-) 1)
{-# INLINE rev #-}

rev' :: Monad m => Int -> (Int -> m ()) -> m ()
rev' n = flip VFSM.mapM_ (streamRG n 0 const 0 (-) 1)
{-# INLINE rev' #-}

rev1 :: Monad m => Int -> (Int -> m ()) -> m ()
rev1 n = flip VFSM.mapM_ (streamRG (n - 1) 1 const 0 (-) 1)
{-# INLINE rev1 #-}

rev1' :: Monad m => Int -> (Int -> m ()) -> m ()
rev1' n = flip VFSM.mapM_ (streamRG n 1 const 0 (-) 1)
{-# INLINE rev1' #-}

range :: Monad m => Int -> Int -> (Int -> m ()) -> m ()
range l r = flip VFSM.mapM_ (streamG l r const 0 (+) 1)
{-# INLINE range #-}

rangeR :: Monad m => Int -> Int -> (Int -> m ()) -> m ()
rangeR r l = flip VFSM.mapM_ (streamRG r l const 0 (-) 1)
{-# INLINE rangeR #-}

forP :: Monad m => Int -> (Int -> m ()) -> m ()
forP p = flip VFSM.mapM_ (streamG 2 p (^) 2 (+) 1)
{-# INLINE forP #-}

forG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> (Int -> m ()) -> m ()
forG l r f p g d = flip VFSM.mapM_ (streamG l r f p g d)
{-# INLINE forG #-}

forRG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> (Int -> m ()) -> m ()
forRG r l f p g d = flip VFSM.mapM_ (streamRG r l f p g d)
{-# INLINE forRG #-}

streamG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> VFSM.Stream m Int
streamG !l !r !f !p !g !d = VFSM.Stream step l
  where
    step x
      | f x p <= r = return $ VFSM.Yield x (g x d)
      | otherwise  = return VFSM.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] streamG #-}

streamRG :: Monad m => Int -> Int -> (Int -> Int -> Int) -> Int -> (Int -> Int -> Int) -> Int -> VFSM.Stream m Int
streamRG !r !l !f !p !g !d = VFSM.Stream step r
  where
    step x
      | f x p >= l = return $ VFSM.Yield x (g x d)
      | otherwise  = return VFSM.Done
    {-# INLINE [0] step #-}
{-# INLINE [1] streamRG #-}

withBreakIO :: ((r -> ContT r IO b) -> ContT r IO r) -> IO r
withBreakIO = flip runContT pure . callCC
{-# INLINE withBreakIO #-}

withBreakST :: ((r -> ContT r (ST s) b) -> ContT r (ST s) r) -> (ST s) r
withBreakST = flip runContT pure . callCC
{-# INLINE withBreakST #-}

type CParser a = StateT BSC8.ByteString Maybe a
runCParser :: CParser a -> BSC8.ByteString -> Maybe (a, BSC8.ByteString)
runCParser = runStateT
{-# INLINE runCParser #-}
int :: CParser Int
int = coerce $ BSC8.readInt . BSC8.dropWhile isSpace
{-# INLINE int #-}
int1 :: CParser Int
int1 = fmap (subtract 1) int
{-# INLINE int1 #-}
char :: CParser Char
char = coerce BSC8.uncons
{-# INLINE char #-}
byte :: CParser Word8
byte = coerce BS.uncons
{-# INLINE byte #-}
skipSpaces :: CParser ()
skipSpaces = modify' (BSC8.dropWhile isSpace)
{-# INLINE skipSpaces #-}
seqInput :: Int -> IO (VU.Vector Int)
seqInput n = VU.unfoldrN n (runCParser int) <$> BSC8.getLine
{-# INLINE seqInput #-}
parseN1 :: Int -> IO (VU.Vector Int)
parseN1 n = VU.unfoldrN n (runCParser int) <$> BSC8.getContents
{-# INLINE parseN1 #-}
parseN2 :: Int -> IO (VU.Vector (Int, Int))
parseN2 n = VU.unfoldrN n (runCParser $ (,) <$> int <*> int) <$> BSC8.getContents
{-# INLINE parseN2 #-}
parseN3 :: Int -> IO (VU.Vector (Int, Int, Int))
parseN3 n = VU.unfoldrN n (runCParser $ (,,) <$> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseN3 #-}
parseN4 :: Int -> IO (VU.Vector (Int, Int, Int, Int))
parseN4 n = VU.unfoldrN n (runCParser $ (,,,) <$> int <*> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseN4 #-}
parseN5 :: Int -> IO (VU.Vector (Int, Int, Int, Int, Int))
parseN5 n = VU.unfoldrN n (runCParser $ (,,,,) <$> int <*> int <*> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseN5 #-}
parseANBN :: Int -> IO (VU.Vector Int, VU.Vector Int)
parseANBN n = VU.unzip . VU.unfoldrN n (runCParser $ (,) <$> int <*> int) <$> BSC8.getContents
{-# INLINE parseANBN #-}
parseANBNCN :: Int -> IO (VU.Vector Int, VU.Vector Int, VU.Vector Int)
parseANBNCN n = VU.unzip3 . VU.unfoldrN n (runCParser $ (,,) <$> int <*> int <*> int) <$> BSC8.getContents
{-# INLINE parseANBNCN #-}

type Query3 = (Int, Int, Int)
query3Parser :: CParser Query3
query3Parser = do
  skipSpaces
  t <- char
  case t of
    '0' -> (,,) 0 <$> int <*> int
    _   -> (,,) 1 <$> int <*> pure 0
parseQ3 :: Int -> IO (VU.Vector Query3)
parseQ3 n = VU.unfoldrN n (runCParser query3Parser) <$> BSC8.getContents
{-# INLINE parseQ3 #-}

type Query5 = (Int, Int, Int, Int, Int)
query5Parser :: CParser Query5
query5Parser = do
  skipSpaces
  t <- char
  case t of
    '0' -> (,,,,) 0 <$> int <*> int <*> int    <*> int
    _   -> (,,,,) 1 <$> int <*> int <*> pure 0 <*> pure 0
parseQ5 :: Int -> IO (VU.Vector Query5)
parseQ5 n = VU.unfoldrN n (runCParser query5Parser) <$> BSC8.getContents
{-# INLINE parseQ5 #-}

readInt :: BSC8.ByteString -> Int
readInt = fst . fromJust . BSC8.readInt
{-# INLINE readInt #-}
getInt :: IO Int
getInt = readInt <$> BSC8.getLine
{-# INLINE getInt #-}
readIntList :: BSC8.ByteString -> [Int]
readIntList = map readInt . BSC8.words
{-# INLINE readIntList #-}
getIntList :: IO [Int]
getIntList = readIntList <$> BSC8.getLine
{-# INLINE getIntList #-}
readInteger :: BSC8.ByteString -> Integer
readInteger = fst . fromJust . BSC8.readInteger
{-# INLINE readInteger #-}
getInteger :: IO Integer
getInteger = readInteger <$> BSC8.getLine
{-# INLINE getInteger #-}
readIntegerList :: BSC8.ByteString -> [Integer]
readIntegerList = map readInteger . BSC8.words
{-# INLINE readIntegerList #-}
getIntegerList :: IO [Integer]
getIntegerList = readIntegerList <$> BSC8.getLine
{-# INLINE getIntegerList #-}

class ShowAsBuilder a where
  showAsBuilder :: a -> BSB.Builder
  default showAsBuilder :: (Show a) => a -> BSB.Builder
  showAsBuilder = BSB.string8 . show

instance ShowAsBuilder Int where
  showAsBuilder = BSB.intDec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int8 where
  showAsBuilder = BSB.int8Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int16 where
  showAsBuilder = BSB.int16Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int32 where
  showAsBuilder = BSB.int32Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Int64 where
  showAsBuilder = BSB.int64Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word8 where
  showAsBuilder = BSB.word8Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word16 where
  showAsBuilder = BSB.word16Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word32 where
  showAsBuilder = BSB.word32Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Word64 where
  showAsBuilder = BSB.word64Dec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Integer where
  showAsBuilder = BSB.integerDec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Float where
  showAsBuilder = BSB.floatDec
  {-# INLINE showAsBuilder #-}
instance ShowAsBuilder Double where
  showAsBuilder = BSB.doubleDec
  {-# INLINE showAsBuilder #-}

instance (ShowAsBuilder a, VG.Vector v a) => ShowAsBuilder (v a) where
  showAsBuilder = v2BSpcSep

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

printVecInLines :: (VG.Vector v a, ShowAsBuilder a) => v a -> IO ()
printVecInLines = putBuilder . v2BLines
{-# INLINE printVecInLines #-}

printVecInSpcSepLn :: (VG.Vector v a, ShowAsBuilder a) => v a -> IO ()
printVecInSpcSepLn = putBuilder . v2BSpcSepLn
{-# INLINE printVecInSpcSepLn #-}

v2BSpcSepLn :: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BSpcSepLn = v2BSpcSepLnWith showAsBuilder
{-# INLINE v2BSpcSepLn #-}

v2BSpcSep :: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BSpcSep = v2BSpcSepWith showAsBuilder
{-# INLINE v2BSpcSep #-}

v2BConcat:: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BConcat = v2BConcatWith showAsBuilder
{-# INLINE v2BConcat #-}

v2BLines:: (VG.Vector v a, ShowAsBuilder a) => v a -> BSB.Builder
v2BLines = v2BLinesWith showAsBuilder
{-# INLINE v2BLines #-}

v2BSpcSepLnWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BSpcSepLnWith = v2BSpcSepPostfWith "\n"
{-# INLINE v2BSpcSepLnWith #-}

v2BSpcSepWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BSpcSepWith = v2BSpcSepPostfWith ""
{-# INLINE v2BSpcSepWith #-}

v2BConcatWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BConcatWith showFct = VG.foldr ((<>) . showFct) mempty
{-# INLINE v2BConcatWith #-}

v2BLinesWith :: VG.Vector v a => (a -> BSB.Builder) -> v a -> BSB.Builder
v2BLinesWith showFct = VG.foldr (\a -> (showFct a <>) . (BSB.char7 '\n' <>)) mempty
{-# INLINE v2BLinesWith #-}

v2BSpcSepPostf :: (VG.Vector v a, ShowAsBuilder a) => BS.ByteString -> v a -> BSB.Builder
v2BSpcSepPostf = (`v2BSpcSepPostfWith` showAsBuilder)
{-# INLINE v2BSpcSepPostf #-}

v2BSpcSepPostfWith :: VG.Vector v a => BS.ByteString -> (a -> BSB.Builder) -> v a -> BSB.Builder
v2BSpcSepPostfWith = vecToBuilder "" " "
{-# INLINE v2BSpcSepPostfWith #-}

vecToBuilder :: VG.Vector v a => BS.ByteString -> BS.ByteString -> BS.ByteString -> (a -> BSB.Builder) -> v a -> BSB.Builder
vecToBuilder !prefix !separator !postfix = vecToBuilder_ (BSB.byteString prefix) (BSB.byteString separator) (BSB.byteString postfix)
{-# INLINE vecToBuilder #-}

vecToBuilder_ :: VG.Vector v a => BSB.Builder -> BSB.Builder -> BSB.Builder -> (a -> BSB.Builder) -> v a -> BSB.Builder
vecToBuilder_ !prefix !separator !postfix showFct vec = prefix <> VG.foldr (\a rest !prefx -> prefx <> (showFct a <> rest separator)) (const postfix) vec mempty
{-# INLINE vecToBuilder_ #-}

yukicoder

結果

コンパイルメッセージ

ソースコード