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JavaScript implementation of Page Segmented Sieve of Eratosthenes...\n// This takes almost no memory as it is bit-packed and odds-only,\n// and only uses memory proportional to the square root of the range;\n// it is also quite fast for large ranges due to imrproved cache associativity...\n\n\"use strict\";\n\nconst PGSZBYTES = 16384 * 2 * 8;\nconst PGSZBITS = PGSZBYTES * 8;\nconst ZEROSPTRN = new Uint8Array(PGSZBYTES);\n\nfunction soePages(bitsz) {\n let len = bitsz >> 3;\n let bpa = [];\n let buf = new Uint8Array(len);\n let lowi = 0;\n let gen;\n return function () {\n let nxt = 3 + ((lowi + bitsz) << 1); // just beyond the current page\n buf.set(ZEROSPTRN.subarray(0,buf.length)); // clear sieve array!\n if (lowi <= 0 && bitsz < 131072) { // special culling for first page as no base primes yet:\n for (let i = 0, p = 3, sqr = 9; sqr < nxt; ++i, p += 2, sqr = p * p)\n if ((buf[i >> 3] & (1 << (i & 7))) === 0)\n for (let j = (sqr - 3) >> 1; j < 131072; j += p)\n buf[j >> 3] |= 1 << (j & 7);\n } else { // other than the first \"zeroth\" page:\n if (!bpa.length) { // if this is the first page after the zero one:\n gen = basePrimes(); // initialize separate base primes stream:\n bpa.push(gen()); // keep the next prime (3 in this case)\n }\n // get enough base primes for the page range...\n for (let p = bpa[bpa.length - 1], sqr = p * p; sqr < nxt;\n p = gen(), bpa.push(p), sqr = p * p);\n for (let i = 0; i < bpa.length; ++i) { // for each base prime in the array\n let p = bpa[i] >>> 0;\n let s = (p * p - 3) >>> 1; // compute the start index of the prime squared\n if (s >= lowi) // adjust start index based on page lower limit...\n s -= lowi;\n else { // for the case where this isn't the first prime squared instance\n let r = (lowi - s) % p;\n s = (r != 0) ? p - r : 0;\n }\n if (p <= 32) {\n for (let slmt = Math.min(bitsz, s + (p << 3)); s < slmt; s += p) {\n let msk = ((1 >>> 0) << (s & 7)) >>> 0;\n for (let c = s >>> 3, clmt = bitsz >= 131072 ? len : len; c < clmt | 0; c += p)\n buf[c] |= msk;\n }\n }\n else\n // inner tight composite culling loop for given prime number across page\n for (let slmt = bitsz >= 131072 ? bitsz : bitsz; s < slmt; s += p)\n buf[s >> 3] |= ((1 >>> 0) << (s & 7)) >>> 0;\n }\n }\n let olowi = lowi;\n lowi += bitsz;\n return [olowi, buf];\n };\n}\n\nfunction basePrimes() {\n var bi = 0;\n var lowi;\n var buf;\n var len;\n var gen = soePages(256);\n return function () {\n while (true) {\n if (bi < 1) {\n var pg = gen();\n lowi = pg[0];\n buf = pg[1];\n len = buf.length << 3;\n }\n //find next marker still with prime status\n while (bi < len && buf[bi >> 3] & ((1 >>> 0) << (bi & 7))) bi++;\n if (bi < len) // within buffer: output computed prime\n return 3 + ((lowi + bi++) << 1);\n // beyond buffer range: advance buffer\n bi = 0;\n lowi += len; // and recursively loop to make a new page buffer\n }\n };\n}\n\nconst CLUT = function () {\n let arr = new Uint8Array(65536);\n for (let i = 0; i < 65536; ++i) {\n let nmbts = 0|0; let v = i;\n while (v > 0) { ++nmbts; v &= (v - 1)|0; }\n arr[i] = nmbts|0;\n }\n return arr;\n}();\n\nfunction countPage(bitlmt, sb) {\n let lst = bitlmt >> 5;\n let pg = new Uint32Array(sb.buffer);\n let cnt = (lst << 5) + 32;\n for (let i = 0 | 0; i < lst; ++i) {\n let v = pg[i]; cnt -= CLUT[v & 0xFFFF]; cnt -= CLUT[v >>> 16];\n }\n var n = pg[lst] | (0xFFFFFFFE << (bitlmt & 31));\n cnt -= CLUT[n & 0xFFFF]; cnt -= CLUT[n >>> 16];\n return cnt;\n}\n\nfunction countSoEPrimesTo(limit) {\n if (limit < 3) {\n if (limit < 2) return 0;\n return 1;\n }\n var cnt = 1;\n var lmti = (limit - 3) >>> 1;\n var lowi;\n var buf;\n var len;\n var nxti;\n var gen = soePages(PGSZBITS);\n while (true) {\n var pg = gen();\n lowi = pg[0];\n buf = pg[1];\n len = buf.length << 3;\n nxti = lowi + len;\n if (nxti > lmti) {\n cnt += countPage(lmti - lowi, buf);\n break;\n }\n cnt += countPage(len - 1, buf);\n }\n return cnt;\n}\n\nvar limit = 1000000000; // sieve to this limit...\nvar start = +new Date();\nvar answr = countSoEPrimesTo(limit);\nvar elpsd = +new Date() - start;\nconsole.log(\"Found \" + answr + \" primes up to \" + limit + \" in \" + 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","nodejs-head","createdAt",1612355658,"title","description","isPrivate","compilerInfo",{"_11":3394,"_13":3402,"_15":1432,"_17":3403,"_19":3404,"_22":25,"_24":23,"_26":1436,"_28":3405},"16.0.0-pre","Node.js HEAD",[1435],[],"results",[3408,3412,3415,3418],{"_31":3409,"_3410":3411},"Control","data","Start",{"_31":3413,"_3410":3414},"StdOut","Found 50847534 primes up to 1000000000 in 2157 milliseconds.\n",{"_31":3416,"_3410":3417},"ExitCode","0",{"_31":3409,"_3410":3419},"Finish","hpplib",[3422,3437,3446,3455,3464,3473,3482,3491,3501,3510,3521,3532,3543,3554,3563,3574],{"_11":3423,"_3424":3425,"_3398":3426,"_3427":3428,"_3429":3430,"_3435":3436},"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",{"_3431":3432,"_3433":3434},"tagName","v2.5.0","publishedAt","2025-02-27T12:29:12Z","clangd",{"_3431":3432,"_3433":3434},{"_11":3438,"_3424":3439,"_3398":3440,"_3427":3441,"_3429":3442,"_3435":3445},"cxxopts","jarro2783/cxxopts","Lightweight C++ command line option parser","",{"_3431":3443,"_3433":3444},"v3.2.0","2024-02-15T05:32:43Z",{"_3431":3443,"_3433":3444},{"_11":3447,"_3424":3448,"_3398":3449,"_3427":3450,"_3429":3451,"_3435":3454},"nanobench","martinus/nanobench","Simple, fast, accurate single-header microbenchmarking functionality for C++11/14/17/20","",{"_3431":3452,"_3433":3453},"v4.3.11","2023-02-16T19:06:26Z",{"_3431":3452,"_3433":3453},{"_11":3456,"_3424":3457,"_3398":3458,"_3427":3459,"_3429":3460,"_3435":3463},"toml11","ToruNiina/toml11","TOML for Modern C++","",{"_3431":3461,"_3433":3462},"v4.4.0","2025-02-15T16:20:52Z",{"_3431":3461,"_3433":3462},{"_11":3465,"_3424":3466,"_3398":3467,"_3427":3468,"_3429":3469,"_3435":3472},"toml++","marzer/tomlplusplus","Header-only TOML config file parser and serializer for C++17.","",{"_3431":3470,"_3433":3471},"v3.4.0","2023-10-13T13:45:17Z",{"_3431":3470,"_3433":3471},{"_11":3474,"_3424":3475,"_3398":3476,"_3427":3477,"_3429":3478,"_3435":3481},"rapidjson","Tencent/rapidjson","A fast JSON parser/generator for C++ with both SAX/DOM style API","",{"_3431":3479,"_3433":3480},"v1.1.0","2016-08-25T08:01:22Z",{"_3431":3479,"_3433":3480},{"_11":3483,"_3424":3484,"_3398":3485,"_3427":3486,"_3429":3487,"_3435":3490},"picojson","kazuho/picojson","a header-file-only, JSON parser serializer in C++","",{"_3431":3488,"_3433":3489},"v1.3.0","2015-02-25T04:12:53Z",{"_3431":3488,"_3433":3489},{"_11":3492,"_3424":3492,"_3398":3493,"_3427":3494,"_3429":3495,"_3435":3498},"nlohmann/json","JSON for Modern C++","",{"_3431":3496,"_3433":3497},"v3.12.0","2025-04-11T08:43:39Z",{"_3431":3499,"_3433":3500},"v3.11.3","2023-11-28T21:38:09Z",{"_11":3502,"_3424":3503,"_3398":3504,"_3427":3505,"_3429":3506,"_3435":3509},"csv-parser","vincentlaucsb/csv-parser","A high-performance, fully-featured CSV parser and serializer for modern C++.","",{"_3431":3507,"_3433":3508},"2.3.0","2024-06-15T20:23:18Z",{"_3431":3507,"_3433":3508},{"_11":3511,"_3424":3512,"_3398":3513,"_3427":3514,"_3429":3515,"_3435":3518},"rapidcsv","d99kris/rapidcsv","C++ CSV parser library","",{"_3431":3516,"_3433":3517},"v8.87","2025-05-17T05:37:53Z",{"_3431":3519,"_3433":3520},"v8.84","2024-09-28T05:31:16Z",{"_11":3522,"_3424":3523,"_3398":3524,"_3427":3525,"_3429":3526,"_3435":3529},"fmt","fmtlib/fmt","A modern formatting library","",{"_3431":3527,"_3433":3528},"11.2.0","2025-05-03T16:40:00Z",{"_3431":3530,"_3433":3531},"11.1.4","2025-02-26T18:33:33Z",{"_11":3533,"_3424":3534,"_3398":3535,"_3427":3536,"_3429":3537,"_3435":3540},"NumCpp","dpilger26/NumCpp","C++ implementation of the Python Numpy library","",{"_3431":3538,"_3433":3539},"Version_2.14.1","2025-05-05T03:42:56Z",{"_3431":3541,"_3433":3542},"Version_2.14.0","2025-02-09T04:16:30Z",{"_11":3544,"_3424":3545,"_3398":3546,"_3427":3547,"_3429":3548,"_3435":3551},"spdlog","gabime/spdlog","Fast C++ logging library.","",{"_3431":3549,"_3433":3550},"v1.15.3","2025-05-09T08:59:29Z",{"_3431":3552,"_3433":3553},"v1.15.1","2025-02-01T12:08:58Z",{"_11":3555,"_3424":3556,"_3398":3557,"_3427":3558,"_3429":3559,"_3435":3562},"expected-lite","martinmoene/expected-lite","expected lite - Expected objects in C++11 and later in a single-file header-only library","",{"_3431":3560,"_3433":3561},"v0.8.0","2024-06-05T21:24:45Z",{"_3431":3560,"_3433":3561},{"_11":3564,"_3424":3565,"_3398":3566,"_3427":3567,"_3429":3568,"_3435":3571},"gsl-lite","gsl-lite/gsl-lite","ISO C++ Core Guidelines Library implementation for C++98, C++11 up","",{"_3431":3569,"_3433":3570},"v0.43.0","2025-05-04T23:26:20Z",{"_3431":3572,"_3433":3573},"v0.42.0","2024-11-01T20:24:11Z",{"_11":3575,"_3424":3576,"_3398":3577,"_3427":3578,"_3429":3579,"_3435":3582},"ut","boost-ext/ut","C++20 μ(micro)/Unit Testing framework","",{"_3431":3580,"_3433":3581},"v2.3.1","2025-04-02T13:02:52Z",{"_3431":3583,"_3433":3584},"v2.3.0","2025-02-04T11:58:39Z","env",{"_3587":3588,"_3589":3590,"_3591":3592,"_3593":3594,"_3595":3596,"_3597":3598,"_3599":3600,"_3601":3602,"_3603":3604},"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"]