-- | -- Module: Math.NumberTheory.Primes.Small -- Copyright: (c) 2019 Andrew Lelechenko -- Licence: MIT -- Maintainer: Andrew Lelechenko -- -- This is an internal module, -- defining an array of precalculated primes < 2^16. -- {-# LANGUAGE BangPatterns #-} {-# LANGUAGE MagicHash #-} module Math.NumberTheory.Primes.Small ( smallPrimesPtr , smallPrimesLength , smallPrimesFromTo ) where import GHC.Exts hiding (fromList) import GHC.Word smallPrimesFromTo :: Word16 -> Word16 -> [Word16] smallPrimesFromTo !(W16# from#) !(W16# to#) = go k0# where !(Ptr smallPrimesAddr#) = smallPrimesPtr fromD# = word2Double# from# k0# | isTrue# (from# `leWord#` 5##) = 0# | otherwise = double2Int# (fromD# /## logDouble# fromD#) go k# | I# k# >= smallPrimesLength = [] | isTrue# (p# `gtWord#` to#) = [] | isTrue# (p# `ltWord#` from#) = go (k# +# 1#) | otherwise = W16# p# : go (k# +# 1#) where p# = indexWord16OffAddr# smallPrimesAddr# k# -- length smallPrimes smallPrimesLength :: Int smallPrimesLength = 6542 -- concatMap (\x -> map Data.Char.chr [x `mod` 256, x `quot` 256]) smallPrimes smallPrimesPtr :: Ptr Word16 smallPrimesPtr = Ptr 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3\243\253\ETX\254\ENQ\254\t\254\GS\254'\254/\254A\254K\254M\254W\254_\254c\254i\254u\254{\254\143\254\147\254\149\254\155\254\159\254\179\254\189\254\215\254\233\254\243\254\245\254\a\255\r\255\GS\255+\255/\255I\255M\255[\255e\255q\255\DEL\255\133\255\139\255\143\255\157\255\167\255\169\255\199\255\217\255\239\255\241\255"# -- smallPrimes :: [Word16] -- smallPrimes = -- 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