// Copyright (c) 2008, Frances Y. Kuo and Stephen Joe // Copyright 2019 Google LLC // All rights reserved. // // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file or at // https://developers.google.com/open-source/licenses/bsd #ifndef JOE_KUO_SOBOL_DATA_H #define JOE_KUO_SOBOL_DATA_H namespace sobol_data { const int kMaxSobolDim = 21200; const int kMaxSobolDigits = 31; // Calculated from https://web.maths.unsw.edu.au/~fkuo/sobol/sobol.cc with // input data file new-joe-kuo-6.21201 by printing the values V[i] >> (32-i). // Notice the first values of each row are the m_i from new-joe-kuo-6.21201. const int kDirectionNumbers[kMaxSobolDim][kMaxSobolDigits] = { {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 3, 5, 15, 17, 51, 85, 255, 257, 771, 1285, 3855, 4369, 13107, 21845, 65535, 65537, 196611, 327685, 983055, 1114129, 3342387, 5570645, 16711935, 16843009, 50529027, 84215045, 252645135, 286331153, 858993459, 1431655765}, {1, 3, 3, 9, 29, 23, 71, 197, 209, 627, 1907, 1369, 4109, 12327, 12407, 36949, 119041, 94979, 291587, 809225, 855325, 2565911, 7829319, 5592517, 16777681, 50332019, 50332787, 150998105, 486542605, 385885991, 1191212919}, {1, 3, 1, 5, 31, 29, 81, 147, 433, 149, 719, 3693, 3841, 11523, 16641, 49925, 16671, 83229, 515921, 482707, 1314993, 2380693, 7205839, 2481005, 11599873, 60096515, 63897601, 191692805, 268501023, 805503005, 268501073}, {1, 1, 1, 11, 31, 55, 61, 157, 181, 191, 1291, 3851, 6993, 7153, 16561, 16571, 17679, 184103, 514861, 908077, 983109, 2556623, 2951131, 2952667, 21303041, 63907585, 115027201, 115027211, 268453151, 268619575, 268950333}, {1, 1, 3, 3, 25, 9, 43, 251, 449, 449, 1347, 323, 5081, 14281, 23403, 35771, 36865, 102401, 110595, 831491, 331801, 1380361, 8335403, 15675643, 16552385, 45978049, 16102723, 167293251, 450429913, 784934857, 1080781675}, {1, 3, 5, 13, 11, 37, 31, 227, 381, 143, 241, 3889, 2255, 6625, 15395, 33895, 101617, 171539, 442933, 345725, 1298203, 844053, 7545679, 12019507, 4321485, 4264415, 130233345, 71793665, 214959135, 502268945, 1074822195}, {1, 1, 5, 5, 17, 9, 9, 45, 237, 633, 65, 1601, 5701, 8005, 32593, 47689, 13385, 74861, 402861, 931641, 2019329, 3641345, 5509125, 3411973, 7622673, 23351305, 124063753, 158634029, 227840237, 903271033, 1716179009}, {1, 1, 5, 5, 5, 53, 53, 113, 113, 353, 1873, 785, 4885, 533, 24853, 58661, 124261, 124193, 513313, 775985, 201985, 1185025, 3216645, 11871493, 28665093, 45424949, 75833653, 214380913, 67436913, 67436641, 1141178961}, {1, 1, 7, 11, 19, 37, 69, 91, 103, 871, 913, 1009, 6199, 10683, 10691, 10741, 5237, 27819, 433303, 434167, 1918721, 2804481, 2478855, 16639243, 12584211, 62921509, 63022917, 37857115, 38228327, 868921959, 1556706449}, {1, 1, 5, 1, 1, 27, 79, 35, 175, 695, 1021, 2333, 2353, 13237, 17413, 11279, 31771, 52319, 195971, 794507, 1847729, 2930161, 985141, 6498481, 32443153, 49745675, 62771999, 266304307, 451936703, 997196295, 1875902989}, {1, 1, 1, 3, 11, 43, 75, 43, 425, 37, 1813, 1317, 2501, 12743, 12623, 4711, 56359, 253127, 120005, 779337, 2033521, 3607409, 7799633, 12002195, 3493915, 37318715, 84013147, 117665819, 252145945, 655061653, 1728271269}, {1, 3, 5, 5, 31, 35, 113, 51, 31, 133, 1197, 1511, 6913, 1801, 23819, 61239, 11021, 162239, 245979, 312137, 541137, 1622771, 8115893, 11367317, 15663119, 28639251, 113049633, 64421987, 99680751, 744030901, 1725629373}, {1, 3, 3, 9, 7, 49, 33, 163, 483, 681, 2023, 2129, 7169, 5123, 11267, 21513, 62471, 105521, 367649, 38051, 110051, 775849, 947175, 13964369, 24117249, 1048579, 17825795, 53477385, 422576135, 462422065, 1601175585}, {1, 1, 1, 15, 21, 21, 77, 157, 61, 371, 1001, 2257, 1169, 7281, 30161, 30175, 55109, 55109, 154909, 810285, 1864749, 2389731, 3987321, 843585, 13522177, 20993281, 13634817, 231791887, 131104021, 724742933, 1788258637}, {1, 3, 1, 13, 27, 49, 35, 133, 331, 475, 1389, 1707, 1461, 10927, 1749, 31409, 109391, 195317, 302367, 244561, 443703, 1268895, 5095857, 2606295, 23876465, 37079539, 98310929, 259804541, 231028491, 308059905, 2126623027}, {1, 1, 1, 15, 7, 5, 123, 103, 287, 321, 1109, 255, 597, 11005, 32341, 10491, 96851, 12009, 159799, 209091, 733379, 3265357, 2004569, 4960971, 14421041, 51131601, 51144081, 221523135, 426099479, 187583765, 1891850603}, {1, 3, 1, 15, 13, 25, 27, 109, 131, 897, 1687, 2495, 413, 5311, 11701, 12211, 81945, 49173, 147519, 606457, 770111, 148389, 3917099, 9257323, 19321841, 32426579, 116392625, 210773695, 183611165, 525530409, 2109135627}, {1, 1, 5, 5, 19, 61, 87, 187, 463, 599, 225, 3331, 7029, 5501, 32705, 8641, 9287, 60649, 336219, 213775, 636115, 1228027, 1507869, 16452127, 9374257, 51848881, 69302997, 37990133, 246706179, 1002344493, 201699335}, {1, 3, 7, 11, 23, 15, 103, 65, 67, 327, 75, 2135, 7759, 9127, 12289, 28675, 45063, 143371, 241687, 512015, 1962087, 274497, 1339459, 13939015, 32911435, 3127383, 76795471, 266982311, 117440513, 1056964611, 385875975}, {1, 3, 7, 13, 13, 15, 69, 81, 339, 887, 733, 925, 4799, 5557, 1281, 37123, 37639, 14093, 105741, 23823, 261957, 128337, 5357651, 5030007, 2377181, 13651613, 87220159, 87055029, 46071809, 632619011, 1962999815}, {1, 1, 3, 13, 7, 35, 63, 113, 401, 19, 221, 2999, 2387, 12527, 21249, 27905, 122115, 42765, 305415, 273187, 1898303, 213873, 2088081, 1117459, 3373021, 15741623, 79286867, 207419375, 121831425, 48168961, 1372651523}, {1, 3, 5, 9, 1, 25, 53, 137, 331, 813, 193, 2777, 5617, 7357, 4801, 2883, 94277, 63049, 343105, 94041, 651381, 2134089, 970763, 16175469, 25120897, 49126553, 117459121, 252399357, 117723137, 1063555075, 63180805}, {1, 3, 1, 13, 9, 35, 107, 57, 427, 201, 1429, 1825, 2683, 8371, 26049, 18243, 74305, 173389, 255945, 322019, 2072363, 2336761, 7240939, 6200457, 19526357, 55213793, 35114427, 247056883, 317657089, 913821699, 317558785}, {1, 3, 1, 5, 27, 61, 31, 149, 287, 245, 1945, 751, 5561, 643, 17809, 19187, 55185, 60469, 464139, 92941, 339215, 3108805, 1697199, 986149, 33112937, 55493311, 66542409, 122676435, 534580993, 759153923, 1869983489}, {1, 1, 5, 11, 19, 41, 61, 213, 5, 385, 655, 2183, 4485, 4593, 1521, 44401, 93525, 52763, 376835, 344121, 540781, 3162213, 7356725, 1131281, 5423455, 16041431, 117068245, 184502753, 449146113, 414278913, 414201093}, {1, 3, 5, 3, 3, 13, 69, 157, 207, 521, 519, 1551, 4649, 2641, 5809, 49075, 11349, 258003, 468563, 794749, 262229, 3932269, 6029759, 262681, 19138199, 44305567, 124522393, 32771457, 82576641, 950820099, 1758826245}, {1, 1, 7, 13, 1, 19, 1, 181, 109, 779, 161, 117, 895, 5133, 9297, 44177, 108215, 193181, 253905, 787267, 1315889, 795685, 7122365, 4564347, 10417393, 48225253, 68159983, 256912893, 449855745, 78705921, 236039431}, {1, 3, 7, 5, 13, 19, 59, 247, 109, 861, 1087, 3827, 5237, 13649, 4565, 5447, 100179, 70937, 351553, 38007, 1815871, 4165931, 7705745, 2689009, 14259835, 51958071, 108727705, 20394381, 496592817, 26022771, 397466007}, {1, 1, 3, 9, 25, 29, 41, 3, 471, 445, 803, 3503, 755, 2655, 21197, 64125, 117815, 115965, 50117, 904425, 1494077, 2522279, 5114915, 14040609, 1307823, 22165547, 85722447, 95687667, 181160689, 310149809, 437081331}, {1, 3, 5, 13, 23, 1, 55, 151, 485, 951, 155, 1481, 7019, 3193, 1261, 52263, 1393, 70353, 32531, 943365, 1267515, 1322307, 3993929, 10834683, 24932735, 12181349, 128974935, 137367853, 277874673, 733013587, 468792693}, {1, 3, 7, 3, 13, 59, 17, 43, 109, 629, 849, 359, 2493, 3267, 18869, 33359, 30355, 146687, 82177, 841479, 1994069, 1872887, 5875193, 5455465, 12861685, 2737411, 121590569, 205576463, 503136081, 906207283, 586490519}, {1, 3, 1, 3, 5, 53, 69, 255, 265, 463, 153, 3115, 8039, 3463, 8205, 57519, 8773, 26319, 519617, 388601, 964369, 2013163, 8117597, 6413811, 27422973, 14973271, 107273539, 125225963, 335552209, 1006665331, 67143985}, {1, 1, 5, 5, 23, 33, 13, 175, 379, 895, 167, 1077, 6983, 4999, 9837, 13901, 21185, 225857, 227011, 382197, 384017, 4133995, 4185103, 4578435, 32797835, 24671625, 44490395, 237300883, 292313521, 1038365585, 1689052853}, {1, 1, 7, 7, 1, 61, 123, 139, 403, 341, 825, 3903, 1679, 5585, 3437, 45557, 86787, 103683, 293149, 491297, 1658751, 659839, 1224063, 7321209, 935541, 51366251, 115595115, 221530157, 479930449, 868080049, 1258412471}, {1, 1, 7, 9, 13, 61, 49, 223, 243, 885, 951, 719, 6647, 5243, 25709, 33885, 79619, 67853, 490257, 400153, 1714949, 2246443, 3322167, 700681, 5617531, 7173659, 1051179, 15741511, 506479281, 777034417, 1047561655}, {1, 3, 3, 5, 3, 55, 33, 55, 65, 965, 323, 2377, 4337, 10767, 10933, 59119, 126983, 77833, 118799, 765987, 1003565, 430315, 2453701, 5427993, 18796615, 53982813, 131335677, 228867883, 89938289, 11804371, 1270180563}, {1, 3, 1, 15, 31, 13, 49, 245, 337, 1011, 1137, 1343, 6383, 9565, 23553, 54501, 91393, 259843, 206081, 697103, 211743, 233741, 4828465, 15163893, 13300817, 16925939, 117444977, 219043391, 17830895, 858793053, 722469121}, {1, 3, 5, 15, 31, 59, 63, 97, 185, 923, 1773, 679, 4711, 1267, 27111, 29561, 67393, 126403, 310725, 954575, 1117663, 3474043, 1641599, 15695009, 25865721, 22746203, 36353325, 158093415, 480958887, 431050931, 246098855}, {1, 3, 1, 11, 11, 11, 77, 249, 121, 715, 1385, 931, 4403, 4387, 6005, 28545, 122433, 48323, 30913, 783563, 1894731, 3333195, 2673677, 11045945, 19518521, 10093579, 73204649, 186584419, 117900915, 522126179, 690562357}, {1, 3, 1, 11, 27, 43, 71, 9, 317, 647, 1621, 823, 4783, 535, 4699, 27189, 34545, 111987, 41393, 470875, 1698571, 1375003, 6485847, 4250041, 29371789, 37820215, 54789925, 122422439, 71573119, 569126247, 1269586955}, {1, 1, 7, 15, 21, 11, 81, 45, 437, 997, 1891, 43, 1961, 8343, 16037, 25185, 72593, 206961, 331095, 428319, 1149957, 2927643, 3843105, 6184157, 15635685, 26052437, 128599667, 31835899, 317276409, 618160839, 782523541}, {1, 3, 7, 3, 25, 31, 65, 79, 381, 951, 267, 2743, 3853, 7451, 3917, 64971, 29201, 48243, 161687, 809587, 897609, 3700207, 2473329, 4750271, 24707117, 25887111, 67044443, 124455559, 304157085, 684141227, 1920532925}, {1, 3, 1, 1, 19, 11, 3, 205, 277, 111, 2045, 2773, 3935, 11511, 11671, 7977, 80561, 248371, 16049, 466769, 1744579, 3578235, 3250003, 14887197, 4632933, 930719, 10138125, 145970629, 351985103, 679305799, 914048007}, {1, 1, 5, 9, 19, 21, 29, 157, 253, 509, 185, 2741, 3519, 9641, 16873, 29153, 98737, 230353, 99669, 32857, 1672515, 1806661, 5489933, 14898509, 238989, 27494381, 98747561, 208358181, 526467631, 88435769, 2033804345}, {1, 3, 7, 11, 1, 33, 89, 185, 381, 319, 683, 3983, 5509, 6581, 22917, 35765, 102289, 18323, 348695, 678171, 1711441, 1974609, 3555433, 8831177, 508077, 34390511, 35276667, 171068511, 41178133, 115893253, 1334930549}, {1, 3, 3, 3, 15, 9, 79, 71, 207, 989, 1785, 2865, 3629, 8979, 6441, 58837, 87205, 51031, 90775, 404831, 1423955, 4040053, 4569347, 16106899, 8746179, 16213393, 116721141, 242552181, 116984313, 801580743, 1103957709}, {1, 3, 7, 11, 15, 39, 119, 27, 407, 781, 1597, 81, 4365, 12573, 4397, 15777, 26805, 125575, 495315, 77335, 1097539, 1191035, 1186171, 9623031, 9109627, 44105937, 77661137, 245698325, 456720969, 295248201, 1205412873}, {1, 1, 3, 1, 11, 31, 97, 225, 27, 863, 341, 3923, 4981, 12349, 4195, 28719, 37069, 36989, 389751, 144053, 1934615, 3575051, 8319869, 14671757, 14539823, 23882795, 117440553, 83888447, 117444753, 452993921, 1291847143}, {1, 1, 1, 3, 23, 43, 57, 177, 7, 843, 1547, 2489, 2505, 733, 17191, 16139, 53261, 70141, 242245, 948039, 1739219, 3113703, 6931237, 3850077, 25842083, 53973071, 80491223, 108789077, 311761061, 663303033, 1907576003}, {1, 3, 7, 7, 17, 17, 37, 71, 443, 265, 1561, 1905, 3767, 9627, 14511, 64661, 85453, 223207, 82371, 82635, 675789, 4120909, 2993953, 759235, 2543087, 46065365, 21546933, 100912149, 369676947, 438985887, 441470387}, {1, 3, 1, 5, 27, 63, 123, 213, 383, 177, 1911, 151, 801, 2137, 22197, 54035, 17669, 154655, 313093, 116489, 1102111, 1526059, 5096727, 2515753, 26940819, 26053861, 72374155, 238173011, 157110781, 819253509, 221322545}, {1, 1, 3, 5, 11, 43, 53, 133, 503, 675, 1057, 2787, 2401, 14365, 2115, 14479, 129117, 51245, 84999, 596993, 373767, 2096191, 218137, 13599785, 10247459, 23866551, 113248253, 247465071, 20977125, 893388689, 1371537863}, {1, 3, 5, 5, 29, 17, 47, 173, 479, 417, 1059, 4069, 8101, 509, 5681, 55887, 42509, 19327, 228353, 689155, 297989, 2855941, 693277, 4453393, 14992431, 31276205, 98842079, 128581025, 494665763, 360973285, 1822690213}, {1, 3, 3, 11, 3, 1, 109, 9, 69, 929, 1507, 227, 3947, 3555, 2657, 34637, 78761, 196325, 50177, 594947, 1891331, 1350667, 171011, 3456001, 19805293, 21365769, 10466373, 233326497, 147689955, 97606883, 1224545131}, {1, 1, 1, 5, 17, 39, 23, 5, 343, 113, 881, 593, 8053, 9473, 31031, 2823, 130389, 65351, 487681, 413953, 1799425, 3211525, 4011793, 9897767, 27350295, 15419141, 36503639, 127205745, 380699249, 944047953, 1088622197}, {1, 3, 1, 5, 25, 15, 31, 103, 499, 817, 819, 2865, 5493, 5961, 25215, 47311, 52599, 116387, 33537, 164099, 623873, 2726149, 4820761, 16490255, 19588895, 65172327, 70627571, 1814577, 285323827, 923074097, 657906805}, {1, 1, 1, 11, 11, 17, 63, 105, 183, 881, 721, 2161, 7003, 9979, 24097, 51727, 57081, 203623, 331009, 701697, 2039553, 3817227, 2116875, 8184593, 32341311, 48651113, 108783031, 57515633, 456394705, 399771505, 1870402651}, {1, 1, 5, 11, 9, 29, 97, 231, 363, 745, 1241, 2621, 1507, 8289, 27669, 52249, 48143, 230627, 443585, 642113, 708933, 1663563, 5316553, 12020957, 31151137, 14247079, 53034027, 254708777, 401605273, 441452925, 642779555}, {1, 1, 5, 15, 19, 45, 41, 7, 383, 361, 473, 2333, 6759, 16251, 19109, 22769, 93119, 9335, 275905, 674497, 1015109, 3414095, 1319891, 9200109, 2937961, 53773383, 6765631, 192880297, 214843673, 88557149, 206226471}, {1, 3, 7, 7, 31, 19, 83, 137, 221, 105, 187, 1215, 5215, 7959, 16155, 21787, 33025, 40117, 302273, 518851, 674247, 1098183, 6875999, 7718483, 28295443, 45315401, 109772829, 120521385, 445579387, 377948031, 464199583}, {1, 1, 1, 3, 23, 15, 111, 223, 83, 201, 1865, 1577, 3643, 6031, 20375, 2535, 1239, 83419, 194497, 719553, 1060545, 2991811, 1962711, 15417807, 6805295, 12376991, 126796051, 31703305, 400933769, 242861801, 1563804411}, {1, 1, 5, 13, 31, 15, 55, 25, 161, 809, 985, 2813, 4853, 4839, 10967, 25839, 122961, 106825, 204865, 532673, 1172677, 1927373, 8017759, 11034959, 17325431, 63472985, 87586017, 186586473, 349492505, 937119805, 1724138549}, {1, 1, 3, 13, 25, 47, 39, 87, 257, 41, 2025, 2267, 8181, 10657, 2183, 19423, 59823, 188873, 270401, 567105, 1548483, 3893965, 1566937, 7264623, 22721383, 1553687, 18873537, 59467369, 298108585, 499567131, 410829621}, {1, 1, 1, 11, 21, 53, 125, 249, 293, 101, 533, 533, 4575, 10689, 11465, 14073, 22109, 261953, 167057, 77713, 730577, 1618971, 4753669, 2537765, 15080813, 42926409, 108941685, 194695733, 483955909, 81483397, 432490127}, {1, 1, 7, 11, 11, 7, 57, 79, 323, 477, 621, 3027, 5599, 3495, 17755, 43141, 8131, 239671, 498097, 539729, 1706039, 2756475, 5383963, 14555415, 13283145, 63579135, 86424819, 123505837, 170849021, 423505955, 1791477487}, {1, 1, 5, 5, 17, 13, 81, 3, 131, 989, 29, 65, 4929, 5061, 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