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compile with 'ghc -fllvm --make '.\n-- use of the '-fllvm' (use LLVM back end) flag can be about twice faster!\n-- if LLVM is installed on your machine and works:\n-- (currently LLVM doesn't work with GHC versions newer than 8.6.5!!!!!)...\n \n{-# LANGUAGE FlexibleContexts #-}\n{-# OPTIONS_GHC -O2 #-} -- or -Wall -rtsopts -keep-s-files -fllvm\n \nimport Data.Word ( Word8, Word64 )\nimport Data.Int ( Int64 )\nimport Data.Bits ( Bits((.|.), shiftR, (.&.), shiftL, popCount) )\nimport Control.Monad.ST (ST, runST)\nimport Data.Array.Base\n ( castSTUArray,\n unsafeFreezeSTUArray, unsafeThaw,\n IArray(unsafeAt),\n MArray(unsafeRead, newArray, unsafeWrite), listArray,\n STUArray, UArray(..) )\nimport Data.Array.ST (runSTUArray)\nimport Data.Time.Clock.POSIX (getPOSIXTime)\n \ntype Prime = Word64\ntype PrimeNdx = Int64\ntype SieveBuffer = UArray PrimeNdx Bool\n \n-- page segment sized for most efficiency;\n-- fastest with CPU L1 cache size but more address calculation overhead;\n-- a little slower with CPU L2 cache size but just about enough to\n-- cancel out the gain from reduced page start address calculations...\ncSIEVEPGSZ :: Int\ncSIEVEPGSZ = (2^18) * 8 -- CPU L2 cache size in bits\n \n-- constants related to odds-only...\ncWHLPRMS :: [Prime]\ncWHLPRMS = [2] -- excludes even numbers other than 2\ncFRSTSVPRM :: Prime\ncFRSTSVPRM = 3 -- start at first prime past the wheel prime(s)\n \n-- list of primes produced by (fixed point) recursive page segmentation...\nprimesPages :: () -> [SieveBuffer]\nprimesPages() = _Y (pagesFrom 0 . listPagePrms) where\n _Y g = g (_Y g) -- non-sharing multi-stage fixpoint Y-combinator\n makePg lowi bps = runSTUArray $ do\n let limi = lowi + fromIntegral cSIEVEPGSZ - 1\n cmpsts <- newArray (lowi, limi) False\n let bpilmt = cSIEVEPGSZ `shiftR` 5 -- \"unpeeling\" limit!\n cull [] = return cmpsts -- stop warning incomplete pattern match!\n cull (bp:bpstl) =\n let rsqri =\n (fromIntegral (bp * bp - cFRSTSVPRM) `shiftR` 1) - lowi in\n if rsqri > limi then return cmpsts\n else let bpi = fromIntegral bp\n bpndx = fromIntegral bp\n cullbits c = if c >= cSIEVEPGSZ then cull bpstl\n else do unsafeWrite cmpsts c True\n cullbits (c + bpi)\n s = if rsqri >= 0 then fromIntegral rsqri\n else let r = fromIntegral (-rsqri `rem` bpndx)\n in if r == 0 then 0 else fromIntegral (bpndx - r)\n in cullbits s\n if lowi == 0 then do -- not efficent but only one page\n pg0 <- unsafeFreezeSTUArray cmpsts\n cull $ listPagePrms [pg0]\n else cull bps\n pagesFrom lowi bps = cf lowi where\n cf lwi = case makePg lwi bps of\n pg -> pg `seq` pg : cf (lwi + fromIntegral cSIEVEPGSZ)\n \n-- convert a list of sieve buffers to a list of primes...\nlistPagePrms :: [SieveBuffer] -> [Prime]\nlistPagePrms pgs@(pg@(UArray lwi _ rng _) : pgstl) = bsprm `seq` loop 0 where\n bsprm = cFRSTSVPRM + fromIntegral (lwi + lwi)\n loop i | i >= rng = listPagePrms pgstl\n | unsafeAt pg i = loop (i + 1)\n | otherwise = case bsprm + fromIntegral (i + i) of\n p -> p `seq` p : loop (i + 1)\n \n-- prepends the wheel factorized initial primes to the sieved primes output...\nprimes :: () -> [Prime]\nprimes() = cWHLPRMS ++ listPagePrms (primesPages())\n \n-- count the remaining un-marked composite bits using very fast popcount...\ncountPrimesTo :: Prime -> Int64\ncountPrimesTo limit =\n let lmtndx = fromIntegral $ (limit - cFRSTSVPRM) `shiftR` 1\n -- very fast using popCount by words technique...\n countSieveBuffer :: Int -> UArray PrimeNdx Bool -> Int64\n countSieveBuffer lstndx sb = runST $ do\n cmpsts <- unsafeThaw sb :: ST s (STUArray s PrimeNdx Bool)\n wrdcmpsts <-\n (castSTUArray :: STUArray s PrimeNdx Bool ->\n ST s (STUArray s PrimeNdx Word64)) cmpsts\n let lstwrd = lstndx `shiftR` 6\n let lstmsk = 0xFFFFFFFFFFFFFFFE `shiftL` (lstndx .&. 63)\n let loop wi cnt =\n if wi < lstwrd then do\n v <- unsafeRead wrdcmpsts wi\n case cnt - popCount v of\n ncnt -> ncnt `seq` loop (wi + 1) ncnt\n else do\n v <- unsafeRead wrdcmpsts lstwrd\n return $ fromIntegral (cnt - popCount (v .|. lstmsk))\n loop 0 (lstwrd * 64 + 64)\n loop (pg@(UArray lwi lmti rng _) : pgstl) cnt\n | lmti >= lmtndx =\n (cnt + countSieveBuffer (fromIntegral $ lmtndx - lwi) pg)\n | otherwise = loop pgstl (cnt + countSieveBuffer (rng - 1) pg)\n in if limit < cFRSTSVPRM then\n if limit < 2 then 0 else 1\n else loop (primesPages()) 1\n \n-- test it...\nmain :: IO ()\nmain = do\n let limit = 10^9 :: Prime\n \n strt <- getPOSIXTime\n-- let answr = length $ takeWhile (<= limit) $ primes() -- slow way\n let answr = countPrimesTo limit -- fast way\n stop <- answr `seq` getPOSIXTime -- force evaluation of answr b4 stop time!\n let elpsd = round $ 1e3 * (stop - strt)\n \n putStr $ \"Found \" ++ show answr\n putStr $ \" primes up to \" ++ show limit\n putStrLn $ \" in \" ++ show elpsd ++ \" milliseconds.\"","codes",[3388],{"_3389":3390,"_3384":3391},"file","TestProgramGenTH.hs","-- the Template Haskell code\n\n{-# LANGUAGE FlexibleContexts, MagicHash, UnboxedTuples, TemplateHaskell #-}\n{-# OPTIONS_GHC -O2 -fobject-code #-} -- -fllvm\n\nmodule TestProgramGenTH ( makeloopfncarr ) where\n\nimport Language.Haskell.TH ( ExpQ, varE, mkName )\n \nimport Data.Bits ( Bits((.&.), (.|.), shiftL, shiftR) )\nimport GHC.Exts ( Word(W#) )\n\ncullbit :: Int -> Int -> ExpQ\ncullbit i n = \n let r = case i of 0 -> [| 0# |]\n 1 -> [| r1# |]\n 2 -> [| r2# |]\n 3 -> [| r3# |]\n 4 -> [| r4# |]\n 5 -> [| r5# |]\n 6 -> [| r6# |]\n 7 -> [| r7# |]\n bp8 = (n `shiftR` 2) .|. 1\n (W# msk#) = 1 `shiftL` ((n + i * bp8) .&. 7)\n m = varE (mkName \"msk#\") in\n [| \\s0# -> case readWord8OffAddr# a# $r s0# of\n (# s1#, v# #) ->\n let nv# = v# `or#` $m in\n case writeWord8OffAddr# a# $r nv# s1# of\n s2# -> s2# |]\n\ncondcull :: Int -> ExpQ\ncondcull n =\n let loop i =\n if i > 7 then [| \\s# -> (# s#, () #) |] else\n let r = case i of 0 -> [| 0# |]\n 1 -> [| r1# |]\n 2 -> [| r2# |]\n 3 -> [| r3# |]\n 4 -> [| r4# |]\n 5 -> [| r5# |]\n 6 -> [| r6# |]\n 7 -> [| r7# |]\n rl = [| rlmt# |] in\n [| \\s# -> case $r <# $rl of\n 0# -> (# s#, () #)\n _ -> case $(cullbit i n) s# of\n so# -> $(loop (i + 1)) so# |] in loop 0\n\nunrollcase :: Int -> ExpQ\nunrollcase n =\n let loop i =\n if i > 7 then [| \\s# -> (# s#, () #) |] else\n [| \\s# -> case $(cullbit i n) s# of\n so# -> $(loop (i + 1)) so# |] in loop 0\n\nloopfnc :: Int -> ExpQ\nloopfnc n =\n [| \\ bp# wi0# ca# sz# ->\n let r0# = wi0# `quotInt#` 8#\n r1# = ((wi0# +# bp#) `quotInt#` 8#) -# r0#\n r2# = ((wi0# +# (bp# *# 2#)) `quotInt#` 8#) -# r0#\n r3# = ((wi0# +# (bp# *# 3#)) `quotInt#` 8#) -# r0#\n r4# = ((wi0# +# (bp# *# 4#)) `quotInt#` 8#) -# r0#\n r5# = ((wi0# +# (bp# *# 5#)) `quotInt#` 8#) -# r0#\n r6# = ((wi0# +# (bp# *# 6#)) `quotInt#` 8#) -# r0#\n r7# = ((wi0# +# (bp# *# 7#)) `quotInt#` 8#) -# r0#\n a0# = ca# `plusAddr#` r0#\n lmt# = ca# `plusAddr#` sz#\n almt# = lmt# `plusAddr#` (0# -# r7#)\n loopa# a# si# =\n case a# `ltAddr#` almt# of\n 0# -> let rlmt# = lmt# `minusAddr#` a# in\n $(condcull n) si#\n _ -> case $(unrollcase n) si# of\n (# so#, _ #) -> loopa# (a# `plusAddr#` bp#) so# in\n ST $ \\s# -> loopa# a0# s# |]\n\n{-\n let r0# = wi0# `quotInt#` 8#\n r1# = ((wi0# +# bp#) `quotInt#` 8#) -# r0#\n r2# = ((wi0# +# (bp# *# 2#)) `quotInt#` 8#) -# r0#\n r3# = ((wi0# +# (bp# *# 3#)) `quotInt#` 8#) -# r0#\n r4# = ((wi0# +# (bp# *# 4#)) `quotInt#` 8#) -# r0#\n r5# = ((wi0# +# (bp# *# 5#)) `quotInt#` 8#) -# r0#\n r6# = ((wi0# +# (bp# *# 6#)) `quotInt#` 8#) -# r0#\n r7# = ((wi0# +# (bp# *# 7#)) `quotInt#` 8#) -# r0#\n a0# = ca# `plusAddr#` r0#\n lmt# = ca# `plusAddr#` sz#\n almt# = lmt# `plusAddr#` (0# -# r7#) in \n\nunroll :: Int -> ExpQ\nunroll n =\n [| case $(varE (mkName \"n\")) of\n 0 ->\n let loopa# a# si# =\n case a# `ltAddr#` almt# of\n 0# -> let rlmt# = lmt# `minusAddr#` a# in\n $(condcull n) si#\n _ -> case $(unrollcase n) si# of\n (# so#, _ #) -> loopa# (a# `plusAddr#` bp#) so# in\n ST $ \\s# -> loopa# a0# s# |]\n--}\n\nmakeloopfnclst :: () -> ExpQ\nmakeloopfnclst() =\n let loop i =\n if i > 31 then [| [] |] else\n [| $(loopfnc i) : $(loop (i + 1)) |] in loop 0\n\nmakeloopfncarr :: () -> ExpQ\nmakeloopfncarr() = [| listArray (0, 31) $(makeloopfnclst()) |]\n","stdin","compiler","ghc-8.4.2","createdAt",1612368040,"title","description","isPrivate","compilerInfo",{"_11":3394,"_13":3402,"_15":1148,"_17":1149,"_19":3403,"_22":23,"_24":25,"_26":1151,"_28":3404},"8.4.2",[1149],[3405,3407],{"_31":32,"_33":3406},{"_11":1155,"_36":23,"_37":1156,"_17":39},{"_31":32,"_33":3408},{"_11":1159,"_36":25,"_37":1160,"_17":44},"results",[3411,3415,3418,3421,3424],{"_31":3412,"_3413":3414},"Control","data","Start",{"_31":3416,"_3413":3417},"CompilerMessageS","[1 of 1] Compiling Main ( prog.hs, prog.o )\nLinking prog.exe ...\n",{"_31":3419,"_3413":3420},"StdOut","Found 50847534 primes up to 1000000000 in 2260 milliseconds.\n",{"_31":3422,"_3413":3423},"ExitCode","0",{"_31":3412,"_3413":3425},"Finish","hpplib",[3428,3443,3452,3461,3470,3479,3488,3497,3507,3516,3527,3538,3549,3560,3569,3580],{"_11":3429,"_3430":3431,"_3398":3432,"_3433":3434,"_3435":3436,"_3441":3442},"CLI11","repository","CLIUtils/CLI11","CLI11 is a command line parser for C++11 and beyond that provides a rich feature set with a simple and intuitive interface.","headerDescription","","wandbox",{"_3437":3438,"_3439":3440},"tagName","v2.5.0","publishedAt","2025-02-27T12:29:12Z","clangd",{"_3437":3438,"_3439":3440},{"_11":3444,"_3430":3445,"_3398":3446,"_3433":3447,"_3435":3448,"_3441":3451},"cxxopts","jarro2783/cxxopts","Lightweight C++ command line option parser","",{"_3437":3449,"_3439":3450},"v3.2.0","2024-02-15T05:32:43Z",{"_3437":3449,"_3439":3450},{"_11":3453,"_3430":3454,"_3398":3455,"_3433":3456,"_3435":3457,"_3441":3460},"nanobench","martinus/nanobench","Simple, fast, accurate single-header microbenchmarking functionality for C++11/14/17/20","",{"_3437":3458,"_3439":3459},"v4.3.11","2023-02-16T19:06:26Z",{"_3437":3458,"_3439":3459},{"_11":3462,"_3430":3463,"_3398":3464,"_3433":3465,"_3435":3466,"_3441":3469},"toml11","ToruNiina/toml11","TOML for Modern C++","",{"_3437":3467,"_3439":3468},"v4.4.0","2025-02-15T16:20:52Z",{"_3437":3467,"_3439":3468},{"_11":3471,"_3430":3472,"_3398":3473,"_3433":3474,"_3435":3475,"_3441":3478},"toml++","marzer/tomlplusplus","Header-only TOML config file parser and serializer for C++17.","",{"_3437":3476,"_3439":3477},"v3.4.0","2023-10-13T13:45:17Z",{"_3437":3476,"_3439":3477},{"_11":3480,"_3430":3481,"_3398":3482,"_3433":3483,"_3435":3484,"_3441":3487},"rapidjson","Tencent/rapidjson","A fast JSON parser/generator for C++ with both SAX/DOM style API","",{"_3437":3485,"_3439":3486},"v1.1.0","2016-08-25T08:01:22Z",{"_3437":3485,"_3439":3486},{"_11":3489,"_3430":3490,"_3398":3491,"_3433":3492,"_3435":3493,"_3441":3496},"picojson","kazuho/picojson","a header-file-only, JSON parser serializer in C++","",{"_3437":3494,"_3439":3495},"v1.3.0","2015-02-25T04:12:53Z",{"_3437":3494,"_3439":3495},{"_11":3498,"_3430":3498,"_3398":3499,"_3433":3500,"_3435":3501,"_3441":3504},"nlohmann/json","JSON for Modern C++","",{"_3437":3502,"_3439":3503},"v3.12.0","2025-04-11T08:43:39Z",{"_3437":3505,"_3439":3506},"v3.11.3","2023-11-28T21:38:09Z",{"_11":3508,"_3430":3509,"_3398":3510,"_3433":3511,"_3435":3512,"_3441":3515},"csv-parser","vincentlaucsb/csv-parser","A high-performance, fully-featured CSV parser and serializer for modern C++.","",{"_3437":3513,"_3439":3514},"2.3.0","2024-06-15T20:23:18Z",{"_3437":3513,"_3439":3514},{"_11":3517,"_3430":3518,"_3398":3519,"_3433":3520,"_3435":3521,"_3441":3524},"rapidcsv","d99kris/rapidcsv","C++ CSV parser library","",{"_3437":3522,"_3439":3523},"v8.87","2025-05-17T05:37:53Z",{"_3437":3525,"_3439":3526},"v8.84","2024-09-28T05:31:16Z",{"_11":3528,"_3430":3529,"_3398":3530,"_3433":3531,"_3435":3532,"_3441":3535},"fmt","fmtlib/fmt","A modern formatting library","",{"_3437":3533,"_3439":3534},"11.2.0","2025-05-03T16:40:00Z",{"_3437":3536,"_3439":3537},"11.1.4","2025-02-26T18:33:33Z",{"_11":3539,"_3430":3540,"_3398":3541,"_3433":3542,"_3435":3543,"_3441":3546},"NumCpp","dpilger26/NumCpp","C++ implementation of the Python Numpy library","",{"_3437":3544,"_3439":3545},"Version_2.14.1","2025-05-05T03:42:56Z",{"_3437":3547,"_3439":3548},"Version_2.14.0","2025-02-09T04:16:30Z",{"_11":3550,"_3430":3551,"_3398":3552,"_3433":3553,"_3435":3554,"_3441":3557},"spdlog","gabime/spdlog","Fast C++ logging library.","",{"_3437":3555,"_3439":3556},"v1.15.3","2025-05-09T08:59:29Z",{"_3437":3558,"_3439":3559},"v1.15.1","2025-02-01T12:08:58Z",{"_11":3561,"_3430":3562,"_3398":3563,"_3433":3564,"_3435":3565,"_3441":3568},"expected-lite","martinmoene/expected-lite","expected lite - Expected objects in C++11 and later in a single-file header-only library","",{"_3437":3566,"_3439":3567},"v0.8.0","2024-06-05T21:24:45Z",{"_3437":3566,"_3439":3567},{"_11":3570,"_3430":3571,"_3398":3572,"_3433":3573,"_3435":3574,"_3441":3577},"gsl-lite","gsl-lite/gsl-lite","ISO C++ Core Guidelines Library implementation for C++98, C++11 up","",{"_3437":3575,"_3439":3576},"v0.43.0","2025-05-04T23:26:20Z",{"_3437":3578,"_3439":3579},"v0.42.0","2024-11-01T20:24:11Z",{"_11":3581,"_3430":3582,"_3398":3583,"_3433":3584,"_3435":3585,"_3441":3588},"ut","boost-ext/ut","C++20 μ(micro)/Unit Testing framework","",{"_3437":3586,"_3439":3587},"v2.3.1","2025-04-02T13:02:52Z",{"_3437":3589,"_3439":3590},"v2.3.0","2025-02-04T11:58:39Z","env",{"_3593":3594,"_3595":3596,"_3597":3598,"_3599":3600,"_3601":3602,"_3603":3604,"_3605":3606,"_3607":3608,"_3609":3610},"KV_CACHE",{},"KV_SESSION",{},"R2_BUCKET",{},"WANDBOX_GITHUB_CLIENT_ID","f9d429d939d997e6b08e","WANDBOX_GITHUB_CLIENT_SECRET","d99b3d12225671cde514d9e2b3d5cc8356f4ed5f","WANDBOX_KV_COOKIE_SECRET","FaCnykHoYzqiXReGkgvmcYGvQdQ4yZUE","WANDBOX_R2_PREFIX","master/","WANDBOX_URL_PREFIX","https://api.wandbox.org","ASSETS",{},"root","actionData","errors"]