EVOLUTION-MANAGER

Edit File: niederreiter_base2_table.hpp

/* boost random/detail/nierderreiter_base2_table.hpp header file * * Copyright Justinas Vygintas Daugmaudis 2010-2018 * Distributed under the Boost Software License, Version 1.0. (See * accompanying file LICENSE_1_0.txt or copy at * http://www.boost.org/LICENSE_1_0.txt) */ #ifndef BOOST_RANDOM_DETAIL_NIEDERREITER_BASE2_TABLE_HPP #define BOOST_RANDOM_DETAIL_NIEDERREITER_BASE2_TABLE_HPP #include <boost/config.hpp> namespace boost { namespace random { namespace detail { namespace qrng_tables { // Maximum allowed space dimension. This number of dimensions has been // chosen because up to 4720th GF(2) prime the values fit to unsigned short, // which produces a (still) reasonably small table. #define BOOST_RANDOM_NIEDERREITER_BASE2_MAX_DIMENSION 4720 struct niederreiter_base2 { BOOST_STATIC_CONSTANT(unsigned, max_dimension = BOOST_RANDOM_NIEDERREITER_BASE2_MAX_DIMENSION); typedef unsigned short value_type; // Binary irreducible polynomials (primes in the ring GF(2)[X]), evaluated at X=2. // Mathematica code: // Reap[ // Do[If[IrreduciblePolynomialQ[ // IntegerDigits[n, 2].x^Reverse[Range[0, Floor[Log[2, n]]]], // Modulus -> 2], Sow[n]], {n, 2, 65535}]][[2, 1]] static value_type polynomial(std::size_t n) { static const value_type nb2_a[max_dimension] = { 2, 3, 7, 11, 13, 19, 25, 31, 37, 41, 47, 55, 59, 61, 67, 73, 87, 91, 97, 103, 109, 115, 117, 131, 137, 143, 145, 157, 167, 171, 185, 191, 193, 203, 211, 213, 229, 239, 241, 247, 253, 283, 285, 299, 301, 313, 319, 333, 351, 355, 357, 361, 369, 375, 379, 391, 395, 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31833, 31849, 31869, 31883, 31891, 31893, 31907, 31927, 31939, 31953, 31965, 31979, 31993, 31999, 32001, 32021, 32055, 32069, 32073, 32115, 32121, 32143, 32145, 32151, 32167, 32179, 32199, 32205, 32213, 32233, 32251, 32253, 32257, 32269, 32281, 32303, 32325, 32353, 32373, 32383, 32393, 32399, 32411, 32413, 32427, 32447, 32455, 32467, 32483, 32485, 32521, 32545, 32575, 32589, 32597, 32625, 32651, 32653, 32665, 32671, 32675, 32689, 32707, 32709, 32721, 32727, 32737, 32743, 32771, 32785, 32791, 32813, 32821, 32863, 32879, 32887, 32897, 32903, 32915, 32933, 32945, 32957, 32963, 32975, 32989, 32999, 33013, 33023, 33025, 33045, 33061, 33111, 33117, 33121, 33133, 33145, 33157, 33185, 33191, 33209, 33227, 33229, 33237, 33247, 33277, 33299, 33339, 33349, 33407, 33417, 33423, 33435, 33483, 33497, 33507, 33521, 33559, 33563, 33579, 33587, 33607, 33613, 33631, 33635, 33641, 33649, 33675, 33685, 33689, 33711, 33723, 33725, 33733, 33745, 33781, 33817, 33827, 33839, 33841, 33847, 33865, 33895, 33901, 33913, 33923, 33925, 33943, 33953, 33973, 34015, 34031, 34039, 34043, 34045, 34077, 34081, 34087, 34099, 34119, 34123, 34143, 34161, 34171, 34177, 34189, 34211, 34225, 34231, 34245, 34249, 34267, 34285, 34291, 34313, 34321, 34333, 34347, 34389, 34393, 34405, 34429, 34433, 34451, 34473, 34479, 34487, 34499, 34523, 34547, 34559, 34571, 34573, 34581, 34591, 34601, 34609, 34667, 34693, 34697, 34703, 34717, 34731, 34733, 34739, 34751, 34783, 34793, 34801, 34807, 34817, 34823, 34853, 34871, 34875, 34889, 34909, 34913, 34931, 34937, 34947, 34959, 34961, 34995, 34997, 35015, 35033, 35075, 35077, 35081, 35089, 35095, 35111, 35173, 35197, 35221, 35225, 35247, 35279, 35281, 35291, 35293, 35309, 35327, 35351, 35385, 35413, 35427, 35429, 35441, 35451, 35463, 35467, 35487, 35503, 35505, 35549, 35595, 35597, 35643, 35645, 35651, 35693, 35699, 35729, 35741, 35777, 35787, 35797, 35801, 35813, 35825, 35873, 35879, 35911, 35925, 35929, 35939, 35945, 35975, 35987, 36003, 36009, 36027, 36041, 36065, 36075, 36097, 36103, 36107, 36133, 36143, 36163, 36177, 36187, 36205, 36223, 36229, 36233, 36251, 36257, 36287, 36299, 36301, 36325, 36329, 36335, 36343, 36363, 36383, 36411, 36433, 36439, 36467, 36469, 36495, 36503, 36507, 36513, 36543, 36545, 36563, 36575, 36581, 36603, 36623, 36647, 36651, 36665, 36673, 36691, 36693, 36709, 36727, 36733, 36773, 36791, 36797, 36809, 36817, 36833, 36839, 36875, 36889, 36895, 36901, 36919, 36925, 36931, 36951, 36961, 36973, 36981, 37001, 37009, 37019, 37021, 37037, 37091, 37125, 37129, 37135, 37143, 37147, 37149, 37185, 37197, 37239, 37243, 37273, 37283, 37289, 37297, 37309, 37327, 37345, 37379, 37393, 37403, 37409, 37415, 37427, 37439, 37453, 37459, 37471, 37499, 37511, 37525, 37539, 37559, 37577, 37597, 37621, 37625, 37651, 37681, 37687, 37701, 37705, 37719, 37747, 37759, 37763, 37789, 37793, 37813, 37835, 37855, 37871, 37873, 37883, 37903, 37931, 37933, 37941, 37963, 37971, 38007, 38013, 38027, 38035, 38041, 38053, 38057, 38075, 38085, 38103, 38107, 38113, 38119, 38133, 38143, 38151, 38165, 38185, 38193, 38205, 38213, 38241, 38251, 38281, 38299, 38317, 38349, 38367, 38371, 38377, 38419, 38421, 38447, 38449, 38455, 38461, 38467, 38493, 38503, 38521, 38551, 38573, 38593, 38603, 38611, 38623, 38639, 38651, 38661, 38699, 38709, 38713, 38733, 38755, 38805, 38815, 38819, 38821, 38825, 38833, 38875, 38877, 38881, 38899, 38911, 38921, 38945, 38957, 38983, 39061, 39065, 39087, 39099, 39107, 39109, 39127, 39133, 39143, 39155, 39161, 39179, 39193, 39205, 39209, 39215, 39223, 39235, 39237, 39259, 39277, 39295, 39305, 39313, 39323, 39353, 39359, 39361, 39371, 39381, 39395, 39397, 39461, 39473, 39503, 39511, 39515, 39517, 39521, 39533, 39545, 39551, 39557, 39575, 39581, 39595, 39609, 39623, 39627, 39651, 39675, 39697, 39707, 39725, 39731, 39745, 39763, 39775, 39791, 39799, 39805, 39815, 39819, 39827, 39863, 39869, 39889, 39915, 39929, 39935, 39957, 39967, 39983, 39995, 39997, 40017, 40029, 40039, 40051, 40053, 40057, 40069, 40127, 40135, 40149, 40165, 40169, 40177, 40183, 40195, 40277, 40281, 40291, 40311, 40321, 40331, 40345, 40351, 40357, 40381, 40451, 40465, 40471, 40481, 40487, 40505, 40519, 40533, 40537, 40543, 40547, 40553, 40577, 40607, 40611, 40685, 40691, 40715, 40723, 40729, 40739, 40751, 40777, 40783, 40807, 40859, 40877, 40883, 40885, 40909, 40921, 40951, 40971, 40981, 40995, 40997, 41007, 41027, 41051, 41053, 41063, 41067, 41069, 41087, 41097, 41105, 41127, 41141, 41165, 41183, 41193, 41211, 41219, 41231, 41245, 41249, 41255, 41267, 41269, 41273, 41287, 41305, 41327, 41339, 41345, 41375, 41393, 41413, 41423, 41441, 41487, 41501, 41517, 41525, 41537, 41543, 41557, 41571, 41583, 41625, 41641, 41659, 41661, 41669, 41673, 41687, 41691, 41709, 41735, 41739, 41741, 41753, 41759, 41763, 41769, 41797, 41835, 41843, 41861, 41871, 41879, 41889, 41907, 41921, 41933, 41941, 41987, 41989, 41993, 42001, 42067, 42073, 42085, 42113, 42119, 42123, 42133, 42137, 42149, 42159, 42161, 42173, 42179, 42203, 42219, 42221, 42241, 42275, 42277, 42281, 42319, 42355, 42371, 42407, 42425, 42439, 42445, 42473, 42481, 42491, 42515, 42533, 42543, 42551, 42557, 42577, 42593, 42611, 42641, 42651, 42653, 42695, 42737, 42749, 42779, 42795, 42809, 42847, 42865, 42893, 42905, 42929, 42939, 42941, 42959, 42961, 42973, 42983, 43013, 43051, 43059, 43065, 43083, 43085, 43093, 43113, 43119, 43133, 43137, 43155, 43167, 43171, 43177, 43191, 43215, 43229, 43233, 43243, 43275, 43283, 43289, 43301, 43337, 43381, 43409, 43431, 43437, 43455, 43457, 43497, 43503, 43511, 43533, 43541, 43567, 43569, 43587, 43589, 43599, 43601, 43617, 43641, 43677, 43691, 43693, 43699, 43705, 43731, 43743, 43761, 43779, 43791, 43805, 43829, 43833, 43847, 43875, 43901, 43905, 43915, 43929, 43963, 43973, 43985, 43991, 43995, 44007, 44019, 44033, 44039, 44045, 44051, 44073, 44087, 44091, 44101, 44123, 44141, 44147, 44159, 44165, 44175, 44183, 44231, 44245, 44255, 44265, 44285, 44293, 44305, 44315, 44321, 44363, 44365, 44399, 44451, 44463, 44489, 44509, 44519, 44523, 44537, 44553, 44573, 44589, 44601, 44607, 44621, 44639, 44643, 44657, 44663, 44667, 44685, 44693, 44707, 44731, 44759, 44765, 44775, 44789, 44801, 44819, 44831, 44841, 44847, 44859, 44867, 44873, 44903, 44917, 44943, 44957, 44971, 44993, 45011, 45027, 45047, 45053, 45071, 45083, 45101, 45109, 45119, 45141, 45175, 45197, 45203, 45231, 45251, 45253, 45265, 45281, 45299, 45319, 45323, 45325, 45373, 45399, 45405, 45429, 45455, 45463, 45469, 45473, 45511, 45535, 45541, 45579, 45587, 45589, 45635, 45641, 45647, 45685, 45695, 45705, 45723, 45749, 45761, 45791, 45801, 45807, 45815, 45829, 45847, 45863, 45923, 45947, 45953, 45971, 45989, 45993, 46001, 46007, 46021, 46039, 46043, 46045, 46073, 46081, 46093, 46105, 46111, 46121, 46147, 46149, 46167, 46189, 46197, 46207, 46247, 46271, 46297, 46319, 46327, 46345, 46365, 46387, 46399, 46407, 46419, 46421, 46441, 46455, 46459, 46485, 46505, 46523, 46531, 46551, 46561, 46567, 46571, 46585, 46597, 46601, 46615, 46619, 46625, 46631, 46637, 46643, 46645, 46667, 46681, 46715, 46721, 46731, 46745, 46767, 46769, 46801, 46823, 46827, 46855, 46879, 46885, 46917, 46935, 46939, 46955, 46969, 46979, 46993, 46999, 47005, 47009, 47027, 47051, 47101, 47135, 47173, 47183, 47201, 47221, 47237, 47241, 47261, 47265, 47277, 47295, 47315, 47317, 47355, 47363, 47369, 47389, 47399, 47403, 47431, 47445, 47449, 47461, 47479, 47501, 47535, 47547, 47555, 47561, 47569, 47585, 47597, 47603, 47605, 47621, 47631, 47633, 47659, 47673, 47705, 47721, 47727, 47745, 47751, 47757, 47763, 47799, 47831, 47859, 47871, 47873, 47879, 47893, 47897, 47907, 47933, 47939, 47945, 47951, 47953, 47963, 47975, 47989, 48017, 48053, 48063, 48075, 48077, 48101, 48105, 48137, 48179, 48185, 48227, 48229, 48233, 48251, 48267, 48269, 48287, 48297, 48323, 48337, 48349, 48385, 48403, 48421, 48431, 48439, 48453, 48487, 48511, 48515, 48521, 48569, 48577, 48595, 48601, 48613, 48625, 48647, 48661, 48675, 48681, 48695, 48727, 48731, 48737, 48747, 48767, 48771, 48785, 48811, 48853, 48857, 48881, 48919, 48929, 48935, 48947, 48949, 48979, 48997, 49025, 49035, 49059, 49079, 49091, 49115, 49133, 49141, 49151, 49153, 49159, 49171, 49183, 49189, 49225, 49267, 49273, 49285, 49297, 49303, 49309, 49319, 49337, 49355, 49365, 49379, 49403, 49425, 49441, 49459, 49471, 49483, 49503, 49519, 49527, 49531, 49533, 49555, 49573, 49597, 49603, 49609, 49627, 49639, 49645, 49669, 49673, 49687, 49709, 49741, 49747, 49749, 49769, 49817, 49841, 49871, 49873, 49885, 49909, 49921, 49933, 49945, 49957, 49967, 49981, 50007, 50011, 50017, 50035, 50051, 50075, 50077, 50091, 50093, 50111, 50119, 50147, 50159, 50173, 50181, 50209, 50227, 50247, 50251, 50271, 50287, 50301, 50323, 50335, 50341, 50359, 50373, 50391, 50397, 50411, 50425, 50431, 50443, 50453, 50479, 50481, 50505, 50523, 50549, 50553, 50569, 50587, 50593, 50611, 50613, 50623, 50635, 50655, 50665, 50671, 50685, 50735, 50737, 50749, 50757, 50769, 50795, 50805, 50809, 50831, 50839, 50859, 50867, 50873, 50881, 50887, 50893, 50901, 50915, 50921, 50939, 50947, 50953, 51009, 51027, 51033, 51043, 51063, 51097, 51103, 51113, 51139, 51159, 51163, 51189, 51203, 51227, 51253, 51265, 51277, 51295, 51301, 51305, 51349, 51389, 51401, 51445, 51449, 51455, 51457, 51469, 51477, 51487, 51491, 51497, 51505, 51511, 51515, 51547, 51549, 51553, 51583, 51587, 51599, 51627, 51655, 51659, 51661, 51673, 51749, 51753, 51759, 51779, 51785, 51815, 51855, 51885, 51903, 51929, 51939, 51951, 51953, 51965, 51991, 51995, 51997, 52011, 52031, 52053, 52073, 52081, 52091, 52103, 52157, 52183, 52199, 52213, 52231, 52245, 52259, 52285, 52297, 52315, 52333, 52351, 52355, 52357, 52379, 52385, 52391, 52397, 52403, 52417, 52441, 52471, 52475, 52477, 52497, 52523, 52531, 52565, 52579, 52591, 52615, 52639, 52643, 52663, 52677, 52687, 52695, 52705, 52715, 52717, 52729, 52735, 52739, 52753, 52775, 52789, 52793, 52837, 52847, 52849, 52895, 52901, 52923, 52931, 52933, 52937, 52945, 52951, 52979, 52991, 53005, 53017, 53023, 53039, 53085, 53089, 53099, 53107, 53113, 53135, 53147, 53149, 53153, 53163, 53191, 53205, 53225, 53239, 53253, 53257, 53311, 53319, 53325, 53361, 53367, 53383, 53387, 53389, 53397, 53401, 53411, 53425, 53445, 53455, 53457, 53463, 53473, 53497, 53515, 53541, 53545, 53551, 53565, 53585, 53595, 53613, 53659, 53689, 53695, 53697, 53717, 53721, 53743, 53757, 53767, 53781, 53791, 53795, 53801, 53815, 53847, 53867, 53869, 53891, 53903, 53921, 53941, 53963, 54019, 54039, 54055, 54081, 54091, 54105, 54111, 54121, 54135, 54139, 54145, 54163, 54169, 54179, 54193, 54217, 54225, 54237, 54247, 54253, 54293, 54313, 54331, 54365, 54369, 54379, 54423, 54429, 54443, 54451, 54463, 54465, 54483, 54501, 54505, 54513, 54543, 54555, 54567, 54571, 54599, 54613, 54617, 54627, 54653, 54675, 54711, 54723, 54753, 54759, 54771, 54773, 54789, 54823, 54827, 54859, 54879, 54883, 54895, 54909, 54919, 54953, 54967, 54981, 54999, 55009, 55021, 55027, 55061, 55075, 55077, 55089, 55143, 55149, 55167, 55213, 55219, 55221, 55231, 55257, 55287, 55291, 55309, 55315, 55369, 55383, 55405, 55433, 55439, 55451, 55463, 55467, 55477, 55489, 55495, 55507, 55513, 55525, 55561, 55579, 55603, 55617, 55623, 55629, 55647, 55653, 55665, 55691, 55705, 55711, 55715, 55721, 55729, 55747, 55767, 55795, 55801, 55813, 55831, 55847, 55859, 55861, 55871, 55897, 55933, 55947, 55955, 55961, 55971, 55985, 56003, 56029, 56045, 56071, 56095, 56101, 56105, 56123, 56133, 56143, 56161, 56195, 56209, 56225, 56263, 56269, 56277, 56287, 56291, 56297, 56303, 56315, 56317, 56337, 56363, 56373, 56377, 56385, 56431, 56433, 56467, 56479, 56495, 56529, 56535, 56539, 56565, 56601, 56617, 56625, 56645, 56663, 56679, 56691, 56693, 56733, 56749, 56769, 56789, 56805, 56823, 56827, 56839, 56879, 56893, 56905, 56911, 56913, 56941, 56949, 56963, 56965, 56969, 56993, 57005, 57035, 57037, 57043, 57091, 57093, 57111, 57117, 57121, 57139, 57177, 57187, 57193, 57199, 57201, 57253, 57275, 57289, 57307, 57323, 57347, 57359, 57361, 57395, 57397, 57415, 57419, 57439, 57467, 57469, 57485, 57503, 57513, 57521, 57527, 57541, 57559, 57563, 57565, 57581, 57599, 57601, 57611, 57637, 57649, 57673, 57679, 57681, 57693, 57703, 57707, 57727, 57779, 57811, 57817, 57839, 57863, 57867, 57881, 57891, 57905, 57925, 57935, 57959, 57977, 57989, 57999, 58011, 58013, 58017, 58027, 58029, 58047, 58049, 58069, 58127, 58129, 58139, 58165, 58169, 58201, 58211, 58213, 58231, 58253, 58259, 58271, 58277, 58287, 58295, 58307, 58331, 58355, 58367, 58399, 58417, 58441, 58459, 58475, 58477, 58483, 58489, 58501, 58513, 58519, 58525, 58529, 58539, 58571, 58573, 58591, 58609, 58621, 58627, 58629, 58647, 58651, 58669, 58675, 58753, 58773, 58789, 58799, 58855, 58885, 58913, 58937, 58943, 58951, 58963, 58985, 59015, 59067, 59069, 59095, 59101, 59115, 59125, 59129, 59137, 59161, 59177, 59245, 59253, 59267, 59279, 59303, 59307, 59309, 59317, 59339, 59347, 59349, 59365, 59377, 59383, 59393, 59439, 59459, 59471, 59473, 59483, 59501, 59513, 59529, 59537, 59559, 59583, 59585, 59595, 59597, 59603, 59643, 59645, 59651, 59663, 59681, 59687, 59691, 59701, 59737, 59743, 59747, 59753, 59761, 59789, 59831, 59845, 59855, 59863, 59885, 59913, 59931, 59949, 59979, 59993, 60017, 60029, 60033, 60045, 60091, 60099, 60105, 60119, 60141, 60159, 60167, 60171, 60185, 60195, 60201, 60219, 60229, 60247, 60253, 60263, 60267, 60275, 60277, 60311, 60315, 60333, 60339, 60365, 60371, 60373, 60387, 60425, 60433, 60449, 60469, 60491, 60511, 60517, 60521, 60541, 60563, 60569, 60591, 60599, 60605, 60617, 60623, 60671, 60679, 60693, 60707, 60727, 60745, 60765, 60769, 60779, 60823, 60833, 60843, 60851, 60871, 60877, 60889, 60895, 60911, 60913, 60925, 60929, 60939, 60941, 60959, 60969, 61045, 61059, 61065, 61085, 61101, 61113, 61127, 61131, 61145, 61155, 61169, 61175, 61199, 61217, 61229, 61235, 61241, 61261, 61303, 61333, 61343, 61361, 61371, 61409, 61415, 61419, 61427, 61429, 61433, 61447, 61453, 61471, 61481, 61487, 61509, 61533, 61573, 61577, 61591, 61611, 61631, 61639, 61653, 61663, 61681, 61687, 61713, 61723, 61749, 61761, 61767, 61771, 61779, 61795, 61809, 61837, 61843, 61893, 61921, 61927, 61939, 61941, 61951, 61975, 61981, 62023, 62029, 62037, 62041, 62063, 62075, 62087, 62111, 62117, 62171, 62173, 62201, 62207, 62209, 62219, 62229, 62255, 62263, 62275, 62341, 62345, 62353, 62359, 62387, 62431, 62437, 62469, 62479, 62487, 62497, 62521, 62547, 62549, 62563, 62565, 62569, 62587, 62603, 62617, 62627, 62641, 62653, 62659, 62671, 62707, 62709, 62713, 62733, 62745, 62757, 62775, 62779, 62801, 62817, 62829, 62865, 62877, 62887, 62901, 62911, 62913, 62919, 62977, 62997, 63007, 63011, 63035, 63045, 63055, 63069, 63083, 63091, 63107, 63109, 63155, 63157, 63193, 63215, 63227, 63265, 63277, 63295, 63309, 63315, 63337, 63343, 63367, 63371, 63381, 63395, 63409, 63415, 63427, 63433, 63451, 63487, 63491, 63497, 63503, 63517, 63527, 63533, 63545, 63551, 63563, 63599, 63601, 63607, 63635, 63685, 63707, 63713, 63725, 63731, 63733, 63751, 63765, 63779, 63803, 63805, 63823, 63825, 63859, 63865, 63877, 63899, 63923, 63929, 63943, 63971, 63977, 63991, 64001, 64007, 64019, 64035, 64055, 64073, 64107, 64117, 64121, 64127, 64131, 64151, 64155, 64161, 64193, 64203, 64217, 64223, 64229, 64261, 64271, 64289, 64295, 64309, 64333, 64341, 64351, 64361, 64369, 64385, 64397, 64419, 64425, 64439, 64457, 64463, 64475, 64481, 64523, 64525, 64543, 64585, 64603, 64615, 64629, 64643, 64685, 64723, 64751, 64783, 64791, 64797, 64811, 64813, 64825, 64839, 64851, 64881, 64907, 64917, 64921, 64931, 64943, 64945, 64963, 64989, 64993, 65003, 65029, 65069, 65075, 65077, 65089, 65101, 65113, 65119, 65149, 65159, 65171, 65177, 65201, 65213, 65225, 65259, 65279, 65281, 65287, 65299, 65315, 65321, 65335, 65359, 65367, 65373, 65377, 65395, 65407, 65423, 65425, 65459, 65479, 65497, 65513, 65519, 65533}; return nb2_a[n]; } }; } // namespace qrng_tables } // namespace detail } // namespace random } // namespace boost #endif // BOOST_RANDOM_DETAIL_NIEDERREITER_BASE2_TABLE_HPP