/// This file contains tensor-agnostic SoboleEngine constants #define TORCH_ASSERT_ONLY_METHOD_OPERATORS #include /* The direction numbers in this file were generated using the python script below (thius this assumes that the file https://web.maths.unsw.edu.au/~fkuo/sobol/new-joe-kuo-6.21201 is present in the working directory). For additional details see [1]. [1] S. Joe and F. Y. Kuo. Remark on algorithm 659: Implementing sobol’s quasirandom sequence generator. ACM Trans. Math. Softw., 29(1):49–57, Mar. 2003. import pandas as pd import numpy as np # read in file content with open("./new-joe-kuo-6.21201", "r") as f: lines = f.readlines() rows = [] # parse data from file line by line for l in lines[1:]: nums = [int(n) for n in l.replace(" \n", "").split()] d, s, a = nums[:3] vs = {f"v{i}": int(v) for i,v in enumerate(nums[3:])} rows.append({"d": d, "s": s, "a": a, **vs}) # read in as dataframe, explicitly use zero values df = pd.DataFrame(rows).fillna(0).astype(int) # peform conversion according to Section 2.1 of [1] df["poly"] = 2 * df["a"] + 2 ** df["s"] + 1 # ensure columns are properly ordered vs = df[[f"v{i}" for i in range(18)]].values # add the degenerate d=1 column (not included in the data file) initsobolstate = np.vstack([vs[0][np.newaxis, :], vs]) poly = np.concatenate([[1], df["poly"].values]) */ namespace at::native::sobol_utils { /// All definitions below this point are data. These are constant, and should /// not be modified without notice // NOLINTNEXTLINE(cppcoreguidelines-avoid-c-arrays,modernize-avoid-c-arrays) const int64_t poly[21201] = { 1, 3, 7, 11, 13, 19, 25, 37, 41, 47, 55, 59, 61, 67, 91, 97, 103, 109, 115, 131, 137, 143, 145, 157, 167, 171, 185, 191, 193, 203, 211, 213, 229, 239, 241, 247, 253, 285, 299, 301, 333, 351, 355, 357, 361, 369, 391, 397, 425, 451, 463, 487, 501, 529, 539, 545, 557, 563, 601, 607, 617, 623, 631, 637, 647, 661, 675, 677, 687, 695, 701, 719, 721, 731, 757, 761, 787, 789, 799, 803, 817, 827, 847, 859, 865, 875, 877, 883, 895, 901, 911, 949, 953, 967, 971, 973, 981, 985, 995, 1001, 1019, 1033, 1051, 1063, 1069, 1125, 1135, 1153, 1163, 1221, 1239, 1255, 1267, 1279, 1293, 1305, 1315, 1329, 1341, 1347, 1367, 1387, 1413, 1423, 1431, 1441, 1479, 1509, 1527, 1531, 1555, 1557, 1573, 1591, 1603, 1615, 1627, 1657, 1663, 1673, 1717, 1729, 1747, 1759, 1789, 1815, 1821, 1825, 1849, 1863, 1869, 1877, 1881, 1891, 1917, 1933, 1939, 1969, 2011, 2035, 2041, 2053, 2071, 2091, 2093, 2119, 2147, 2149, 2161, 2171, 2189, 2197, 2207, 2217, 2225, 2255, 2257, 2273, 2279, 2283, 2293, 2317, 2323, 2341, 2345, 2363, 2365, 2373, 2377, 2385, 2395, 2419, 2421, 2431, 2435, 2447, 2475, 2477, 2489, 2503, 2521, 2533, 2551, 2561, 2567, 2579, 2581, 2601, 2633, 2657, 2669, 2681, 2687, 2693, 2705, 2717, 2727, 2731, 2739, 2741, 2773, 2783, 2793, 2799, 2801, 2811, 2819, 2825, 2833, 2867, 2879, 2881, 2891, 2905, 2911, 2917, 2927, 2941, 2951, 2955, 2963, 2965, 2991, 2999, 3005, 3017, 3035, 3037, 3047, 3053, 3083, 3085, 3097, 3103, 3159, 3169, 3179, 3187, 3205, 3209, 3223, 3227, 3229, 3251, 3263, 3271, 3277, 3283, 3285, 3299, 3305, 3319, 3331, 3343, 3357, 3367, 3373, 3393, 3399, 3413, 3417, 3427, 3439, 3441, 3475, 3487, 3497, 3515, 3517, 3529, 3543, 3547, 3553, 3559, 3573, 3589, 3613, 3617, 3623, 3627, 3635, 3641, 3655, 3659, 3669, 3679, 3697, 3707, 3709, 3713, 3731, 3743, 3747, 3771, 3791, 3805, 3827, 3833, 3851, 3865, 3889, 3895, 3933, 3947, 3949, 3957, 3971, 3985, 3991, 3995, 4007, 4013, 4021, 4045, 4051, 4069, 4073, 4179, 4201, 4219, 4221, 4249, 4305, 4331, 4359, 4383, 4387, 4411, 4431, 4439, 4449, 4459, 4485, 4531, 4569, 4575, 4621, 4663, 4669, 4711, 4723, 4735, 4793, 4801, 4811, 4879, 4893, 4897, 4921, 4927, 4941, 4977, 5017, 5027, 5033, 5127, 5169, 5175, 5199, 5213, 5223, 5237, 5287, 5293, 5331, 5391, 5405, 5453, 5523, 5573, 5591, 5597, 5611, 5641, 5703, 5717, 5721, 5797, 5821, 5909, 5913, 5955, 5957, 6005, 6025, 6061, 6067, 6079, 6081, 6231, 6237, 6289, 6295, 6329, 6383, 6427, 6453, 6465, 6501, 6523, 6539, 6577, 6589, 6601, 6607, 6631, 6683, 6699, 6707, 6761, 6795, 6865, 6881, 6901, 6923, 6931, 6943, 6999, 7057, 7079, 7103, 7105, 7123, 7173, 7185, 7191, 7207, 7245, 7303, 7327, 7333, 7355, 7365, 7369, 7375, 7411, 7431, 7459, 7491, 7505, 7515, 7541, 7557, 7561, 7701, 7705, 7727, 7749, 7761, 7783, 7795, 7823, 7907, 7953, 7963, 7975, 8049, 8089, 8123, 8125, 8137, 8219, 8231, 8245, 8275, 8293, 8303, 8331, 8333, 8351, 8357, 8367, 8379, 8381, 8387, 8393, 8417, 8435, 8461, 8469, 8489, 8495, 8507, 8515, 8551, 8555, 8569, 8585, 8599, 8605, 8639, 8641, 8647, 8653, 8671, 8675, 8689, 8699, 8729, 8741, 8759, 8765, 8771, 8795, 8797, 8825, 8831, 8841, 8855, 8859, 8883, 8895, 8909, 8943, 8951, 8955, 8965, 8999, 9003, 9031, 9045, 9049, 9071, 9073, 9085, 9095, 9101, 9109, 9123, 9129, 9137, 9143, 9147, 9185, 9197, 9209, 9227, 9235, 9247, 9253, 9257, 9277, 9297, 9303, 9313, 9325, 9343, 9347, 9371, 9373, 9397, 9407, 9409, 9415, 9419, 9443, 9481, 9495, 9501, 9505, 9517, 9529, 9555, 9557, 9571, 9585, 9591, 9607, 9611, 9621, 9625, 9631, 9647, 9661, 9669, 9679, 9687, 9707, 9731, 9733, 9745, 9773, 9791, 9803, 9811, 9817, 9833, 9847, 9851, 9863, 9875, 9881, 9905, 9911, 9917, 9923, 9963, 9973, 10003, 10025, 10043, 10063, 10071, 10077, 10091, 10099, 10105, 10115, 10129, 10145, 10169, 10183, 10187, 10207, 10223, 10225, 10247, 10265, 10271, 10275, 10289, 10299, 10301, 10309, 10343, 10357, 10373, 10411, 10413, 10431, 10445, 10453, 10463, 10467, 10473, 10491, 10505, 10511, 10513, 10523, 10539, 10549, 10559, 10561, 10571, 10581, 10615, 10621, 10625, 10643, 10655, 10671, 10679, 10685, 10691, 10711, 10739, 10741, 10755, 10767, 10781, 10785, 10803, 10805, 10829, 10857, 10863, 10865, 10875, 10877, 10917, 10921, 10929, 10949, 10967, 10971, 10987, 10995, 11009, 11029, 11043, 11045, 11055, 11063, 11075, 11081, 11117, 11135, 11141, 11159, 11163, 11181, 11187, 11225, 11237, 11261, 11279, 11297, 11307, 11309, 11327, 11329, 11341, 11377, 11403, 11405, 11413, 11427, 11439, 11453, 11461, 11473, 11479, 11489, 11495, 11499, 11533, 11545, 11561, 11567, 11575, 11579, 11589, 11611, 11623, 11637, 11657, 11663, 11687, 11691, 11701, 11747, 11761, 11773, 11783, 11795, 11797, 11817, 11849, 11855, 11867, 11869, 11873, 11883, 11919, 11921, 11927, 11933, 11947, 11955, 11961, 11999, 12027, 12029, 12037, 12041, 12049, 12055, 12095, 12097, 12107, 12109, 12121, 12127, 12133, 12137, 12181, 12197, 12207, 12209, 12239, 12253, 12263, 12269, 12277, 12287, 12295, 12309, 12313, 12335, 12361, 12367, 12391, 12409, 12415, 12433, 12449, 12469, 12479, 12481, 12499, 12505, 12517, 12527, 12549, 12559, 12597, 12615, 12621, 12639, 12643, 12657, 12667, 12707, 12713, 12727, 12741, 12745, 12763, 12769, 12779, 12781, 12787, 12799, 12809, 12815, 12829, 12839, 12857, 12875, 12883, 12889, 12901, 12929, 12947, 12953, 12959, 12969, 12983, 12987, 12995, 13015, 13019, 13031, 13063, 13077, 13103, 13137, 13149, 13173, 13207, 13211, 13227, 13241, 13249, 13255, 13269, 13283, 13285, 13303, 13307, 13321, 13339, 13351, 13377, 13389, 13407, 13417, 13431, 13435, 13447, 13459, 13465, 13477, 13501, 13513, 13531, 13543, 13561, 13581, 13599, 13605, 13617, 13623, 13637, 13647, 13661, 13677, 13683, 13695, 13725, 13729, 13753, 13773, 13781, 13785, 13795, 13801, 13807, 13825, 13835, 13855, 13861, 13871, 13883, 13897, 13905, 13915, 13939, 13941, 13969, 13979, 13981, 13997, 14027, 14035, 14037, 14051, 14063, 14085, 14095, 14107, 14113, 14125, 14137, 14145, 14151, 14163, 14193, 14199, 14219, 14229, 14233, 14243, 14277, 14287, 14289, 14295, 14301, 14305, 14323, 14339, 14341, 14359, 14365, 14375, 14387, 14411, 14425, 14441, 14449, 14499, 14513, 14523, 14537, 14543, 14561, 14579, 14585, 14593, 14599, 14603, 14611, 14641, 14671, 14695, 14701, 14723, 14725, 14743, 14753, 14759, 14765, 14795, 14797, 14803, 14831, 14839, 14845, 14855, 14889, 14895, 14909, 14929, 14941, 14945, 14951, 14963, 14965, 14985, 15033, 15039, 15053, 15059, 15061, 15071, 15077, 15081, 15099, 15121, 15147, 15149, 15157, 15167, 15187, 15193, 15203, 15205, 15215, 15217, 15223, 15243, 15257, 15269, 15273, 15287, 15291, 15313, 15335, 15347, 15359, 15373, 15379, 15381, 15391, 15395, 15397, 15419, 15439, 15453, 15469, 15491, 15503, 15517, 15527, 15531, 15545, 15559, 15593, 15611, 15613, 15619, 15639, 15643, 15649, 15661, 15667, 15669, 15681, 15693, 15717, 15721, 15741, 15745, 15765, 15793, 15799, 15811, 15825, 15835, 15847, 15851, 15865, 15877, 15881, 15887, 15899, 15915, 15935, 15937, 15955, 15973, 15977, 16011, 16035, 16061, 16069, 16087, 16093, 16097, 16121, 16141, 16153, 16159, 16165, 16183, 16189, 16195, 16197, 16201, 16209, 16215, 16225, 16259, 16265, 16273, 16299, 16309, 16355, 16375, 16381, 16427, 16441, 16467, 16479, 16507, 16553, 16559, 16571, 16573, 16591, 16619, 16627, 16653, 16659, 16699, 16707, 16795, 16797, 16807, 16813, 16821, 16853, 16857, 16881, 16909, 16983, 16993, 17023, 17029, 17053, 17095, 17099, 17101, 17123, 17129, 17135, 17161, 17185, 17215, 17277, 17287, 17301, 17327, 17353, 17387, 17389, 17419, 17475, 17523, 17619, 17621, 17631, 17635, 17659, 17707, 17721, 17753, 17775, 17817, 17823, 17829, 17847, 17861, 17879, 17895, 17907, 17919, 17935, 17949, 17959, 17973, 17991, 18009, 18019, 18033, 18043, 18085, 18117, 18127, 18139, 18225, 18255, 18303, 18343, 18369, 18405, 18409, 18415, 18451, 18457, 18491, 18499, 18523, 18529, 18535, 18559, 18563, 18659, 18717, 18733, 18745, 18793, 18807, 18823, 18857, 18895, 18913, 18997, 19045, 19067, 19073, 19079, 19083, 19107, 19145, 19165, 19193, 19255, 19273, 19291, 19307, 19309, 19315, 19321, 19333, 19351, 19361, 19371, 19385, 19403, 19405, 19413, 19423, 19441, 19451, 19465, 19485, 19519, 19527, 19531, 19541, 19581, 19597, 19621, 19645, 19653, 19665, 19671, 19693, 19743, 19761, 19781, 19791, 19793, 19829, 19855, 19885, 19891, 19905, 19963, 19969, 19989, 20023, 20035, 20041, 20049, 20075, 20077, 20099, 20123, 20179, 20197, 20201, 20207, 20253, 20309, 20319, 20329, 20335, 20383, 20393, 20407, 20411, 20459, 20487, 20511, 20517, 20573, 20641, 20693, 20713, 20781, 20819, 20825, 20831, 20861, 20875, 20889, 20901, 20913, 20945, 20955, 20971, 20973, 20981, 20991, 20997, 21007, 21037, 21093, 21131, 21145, 21155, 21169, 21187, 21189, 21201, 21223, 21285, 21289, 21339, 21403, 21405, 21415, 21433, 21439, 21447, 21489, 21507, 21519, 21527, 21557, 21561, 21575, 21599, 21627, 21645, 21663, 21691, 21725, 21729, 21785, 21807, 21815, 21881, 21887, 21891, 21893, 21905, 21933, 21953, 21971, 21993, 22007, 22029, 22037, 22057, 22063, 22065, 22171, 22187, 22189, 22195, 22209, 22215, 22221, 22263, 22315, 22317, 22335, 22361, 22371, 22397, 22419, 22447, 22461, 22467, 22469, 22487, 22531, 22561, 22579, 22581, 22591, 22593, 22677, 22681, 22691, 22703, 22749, 22759, 22763, 22783, 22863, 22911, 22927, 22935, 22941, 22945, 22951, 22965, 23007, 23017, 23071, 23077, 23099, 23101, 23107, 23109, 23113, 23157, 23221, 23233, 23251, 23253, 23257, 23311, 23319, 23339, 23353, 23395, 23401, 23415, 23449, 23491, 23493, 23521, 23531, 23559, 23563, 23577, 23601, 23625, 23645, 23673, 23683, 23713, 23743, 23745, 23755, 23757, 23781, 23813, 23837, 23859, 23919, 23949, 23957, 23971, 23977, 23995, 24015, 24067, 24079, 24091, 24109, 24135, 24189, 24193, 24217, 24279, 24283, 24295, 24309, 24327, 24345, 24355, 24381, 24387, 24389, 24417, 24427, 24437, 24471, 24543, 24589, 24597, 24623, 24637, 24679, 24683, 24713, 24733, 24747, 24755, 24761, 24789, 24841, 24849, 24877, 24889, 24897, 24957, 24991, 24997, 25007, 25019, 25069, 25077, 25139, 25187, 25199, 25213, 25229, 25247, 25253, 25257, 25271, 25303, 25307, 25309, 25331, 25379, 25393, 25399, 25435, 25453, 25461, 25481, 25489, 25505, 25535, 25583, 25609, 25623, 25665, 25671, 25739, 25759, 25831, 25845, 25857, 25867, 25911, 25915, 25925, 25947, 26001, 26029, 26041, 26047, 26069, 26095, 26103, 26119, 26125, 26147, 26171, 26205, 26219, 26243, 26263, 26279, 26283, 26293, 26329, 26335, 26385, 26395, 26443, 26463, 26473, 26487, 26497, 26531, 26577, 26641, 26653, 26707, 26743, 26771, 26783, 26789, 26793, 26821, 26879, 26905, 26927, 26987, 26995, 27023, 27037, 27041, 27051, 27113, 27137, 27183, 27217, 27227, 27239, 27243, 27245, 27253, 27267, 27287, 27315, 27317, 27327, 27339, 27369, 27375, 27395, 27415, 27435, 27443, 27449, 27463, 27467, 27497, 27517, 27521, 27533, 27575, 27589, 27607, 27617, 27629, 27641, 27695, 27709, 27735, 27763, 27829, 27833, 27841, 27847, 27877, 27913, 27927, 27947, 27987, 28003, 28005, 28009, 28067, 28081, 28091, 28093, 28101, 28169, 28199, 28205, 28211, 28225, 28243, 28283, 28289, 28295, 28309, 28335, 28355, 28379, 28381, 28409, 28417, 28437, 28457, 28465, 28475, 28495, 28503, 28561, 28615, 28633, 28639, 28649, 28677, 28701, 28723, 28797, 28841, 28859, 28873, 28879, 28897, 28947, 28949, 28953, 28977, 28983, 28989, 29035, 29083, 29089, 29109, 29151, 29157, 29175, 29179, 29215, 29233, 29243, 29263, 29287, 29363, 29377, 29389, 29407, 29413, 29425, 29431, 29443, 29449, 29479, 29483, 29581, 29587, 29605, 29629, 29649, 29695, 29715, 29717, 29775, 29787, 29803, 29805, 29867, 29875, 29901, 29919, 29929, 29949, 29979, 29985, 30071, 30075, 30105, 30115, 30141, 30159, 30161, 30187, 30197, 30265, 30279, 30291, 30293, 30303, 30307, 30313, 30367, 30371, 30383, 30417, 30443, 30457, 30475, 30537, 30551, 30573, 30579, 30631, 30645, 30663, 30675, 30677, 30741, 30757, 30769, 30781, 30829, 30923, 30925, 30937, 30959, 30999, 31015, 31053, 31065, 31087, 31089, 31099, 31105, 31111, 31153, 31177, 31191, 31197, 31235, 31259, 31275, 31285, 31295, 31307, 31317, 31361, 31373, 31415, 31419, 31427, 31457, 31477, 31523, 31567, 31569, 31581, 31609, 31631, 31649, 31659, 31673, 31699, 31715, 31729, 31749, 31783, 31789, 31833, 31883, 31891, 31893, 31907, 31927, 31939, 31953, 31993, 31999, 32001, 32021, 32055, 32069, 32115, 32121, 32145, 32151, 32167, 32179, 32199, 32205, 32233, 32251, 32253, 32269, 32281, 32303, 32353, 32373, 32383, 32413, 32427, 32467, 32483, 32485, 32521, 32545, 32575, 32589, 32597, 32625, 32651, 32653, 32671, 32709, 32721, 32743, 32771, 32785, 32791, 32813, 32821, 32863, 32887, 32897, 32903, 32915, 32933, 32963, 32975, 32989, 32999, 33013, 33025, 33045, 33061, 33111, 33117, 33121, 33133, 33157, 33185, 33191, 33209, 33227, 33229, 33247, 33277, 33299, 33339, 33349, 33407, 33417, 33423, 33435, 33483, 33497, 33559, 33563, 33579, 33587, 33607, 33613, 33631, 33635, 33641, 33649, 33675, 33689, 33711, 33725, 33733, 33745, 33817, 33827, 33839, 33841, 33847, 33895, 33901, 33913, 33923, 33943, 33953, 33973, 34015, 34039, 34045, 34077, 34081, 34087, 34099, 34119, 34123, 34143, 34161, 34171, 34177, 34189, 34211, 34225, 34245, 34249, 34267, 34285, 34291, 34313, 34321, 34333, 34347, 34389, 34393, 34405, 34429, 34433, 34473, 34479, 34487, 34499, 34523, 34559, 34571, 34573, 34581, 34601, 34609, 34667, 34693, 34697, 34703, 34731, 34733, 34739, 34751, 34783, 34801, 34817, 34871, 34889, 34909, 34913, 34937, 34947, 34959, 34997, 35015, 35033, 35077, 35081, 35095, 35111, 35173, 35225, 35247, 35279, 35281, 35293, 35309, 35327, 35385, 35413, 35427, 35429, 35441, 35451, 35463, 35467, 35487, 35503, 35505, 35549, 35595, 35597, 35643, 35651, 35693, 35699, 35729, 35741, 35777, 35787, 35797, 35813, 35825, 35873, 35879, 35911, 35925, 35939, 35945, 35975, 35987, 36003, 36009, 36027, 36041, 36065, 36103, 36107, 36133, 36163, 36177, 36187, 36223, 36229, 36233, 36251, 36257, 36287, 36299, 36301, 36325, 36329, 36335, 36363, 36383, 36411, 36433, 36439, 36467, 36469, 36495, 36503, 36507, 36513, 36543, 36545, 36563, 36581, 36603, 36623, 36647, 36651, 36665, 36709, 36727, 36733, 36773, 36809, 36817, 36833, 36875, 36889, 36895, 36901, 36919, 36925, 36931, 36951, 36961, 36973, 36981, 37001, 37009, 37019, 37037, 37125, 37129, 37143, 37147, 37149, 37185, 37197, 37243, 37273, 37283, 37289, 37297, 37309, 37327, 37345, 37379, 37393, 37403, 37415, 37427, 37439, 37453, 37459, 37499, 37511, 37525, 37539, 37559, 37577, 37597, 37621, 37625, 37651, 37681, 37701, 37705, 37719, 37747, 37759, 37763, 37789, 37793, 37813, 37835, 37855, 37871, 37873, 37883, 37903, 37931, 37941, 37963, 37971, 38013, 38035, 38041, 38053, 38057, 38075, 38103, 38107, 38113, 38119, 38133, 38143, 38151, 38165, 38185, 38193, 38205, 38213, 38241, 38251, 38281, 38299, 38317, 38367, 38377, 38419, 38421, 38449, 38455, 38461, 38467, 38503, 38521, 38551, 38573, 38593, 38603, 38623, 38651, 38699, 38709, 38733, 38755, 38805, 38815, 38819, 38821, 38825, 38833, 38875, 38877, 38899, 38911, 38921, 38945, 38983, 39061, 39065, 39087, 39099, 39109, 39127, 39133, 39179, 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510535, 510605, 510679, 510837, 510923, 510981, 510985, 511053, 511125, 511151, 511183, 511211, 511233, 511323, 511377, 511405, 511417, 511435, 511449, 511471, 511479, 511525, 511655, 511659, 511783, 511869, 511873, 511893, 511909, 511951, 511975, 512021, 512035, 512091, 512117, 512127, 512167, 512173, 512309, 512355, 512471, 512475, 512555, 512583, 512623, 512625, 512659, 512713, 512749, 512799, 512817, 512855, 512871, 512875, 512889, 512901, 512911, 512919, 512925, 512973, 513015, 513077, 513107, 513189, 513207, 513233, 513273, 513321, 513349, 513371, 513387, 513441, 513447, 513507, 513583, 513691, 513693, 513703, 513717, 513729, 513789, 513801, 513807, 513819, 513905, 513927, 513989, 514001, 514007, 514027, 514041, 514065, 514091, 514173, 514177, 514217, 514231, 514269, 514297, 514377, 514395, 514435, 514449, 514495, 514521, 514543, 514555, 514571, 514585, 514717, 514733, 514745, 514789, 514793, 514831, 514833, 515005, 515011, 515041, 515047, 515059, 515061, 515071, 515085, 515113, 515181, 515187, 515239, 515257, 515311, 515313, 515411, 515491, 515505, 515517, 515523, 515549, 515565, 515589, 515719, 515723, 515733, 515747, 515859, 515927, 515937, 515949, 515967, 515983, 516031, 516039, 516043, 516051, 516087, 516097, 516109, 516163, 516187, 516199, 516223, 516227, 516233, 516263, 516287, 516295, 516397, 516403, 516435, 516453, 516475, 516487, 516539, 516541, 516559, 516597, 516625, 516653, 516683, 516755, 516791, 516829, 516839, 516871, 516933, 516997, 517009, 517025, 517069, 517081, 517091, 517117, 517149, 517165, 517191, 517231, 517279, 517285, 517315, 517321, 517383, 517387, 517397, 517401, 517425, 517469, 517513, 517519, 517531, 517537, 517561, 517567, 517589, 517609, 517639, 517679, 517687, 517725, 517777, 517793, 517811, 517883, 517965, 518001, 518011, 518071, 518095, 518177, 518207, 518263, 518293, 518359, 518389, 518459, 518467, 518545, 518571, 518603, 518611, 518627, 518663, 518735, 518743, 518771, 518835, 518869, 518895, 518897, 518957, 518965, 518977, 519031, 519047, 519075, 519077, 519113, 519143, 519149, 519193, 519217, 519227, 519229, 519329, 519341, 519391, 519409, 519487, 519571, 519593, 519607, 519667, 519679, 519709, 519731, 519755, 519785, 519805, 519829, 519849, 519863, 519877, 519895, 519929, 519937, 519973, 520015, 520073, 520091, 520147, 520159, 520169, 520187, 520197, 520255, 520287, 520331, 520355, 520393, 520441, 520447, 520455, 520467, 520545, 520593, 520605, 520619, 520741, 520745, 520777, 520835, 520847, 520849, 520871, 520931, 520965, 520975, 521043, 521099, 521147, 521181, 521185, 521235, 521271, 521333, 521361, 521377, 521449, 521463, 521505, 521529, 521621, 521673, 521709, 521731, 521785, 521793, 521803, 521841, 521853, 521867, 521903, 521917, 521959, 522043, 522051, 522105, 522141, 522207, 522231, 522259, 522275, 522319, 522327, 522337, 522347, 522367, 522397, 522419, 522421, 522443, 522499, 522505, 522573, 522601, 522625, 522679, 522705, 522733, 522757, 522795, 522941, 522949, 522987, 523021, 523027, 523095, 523117, 523151, 523247, 523293, 523349, 523369, 523387, 523411, 523513, 523521, 523541, 523545, 523569, 523623, 523641, 523693, 523711, 523749, 523767, 523817, 523825, 523857, 523873, 523891, 523981, 523999, 524003, 524061, 524077, 524085, 524097, 524157, 524161, 524185, 524263, }; // NOLINTNEXTLINE(cppcoreguidelines-avoid-c-arrays,modernize-avoid-c-arrays) const int64_t initsobolstate[21201][18] = { {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 5, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 11, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 3, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 5, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 9, 7, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 15, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 13, 27, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 15, 7, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 15, 13, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 5, 19, 61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 11, 23, 15, 103, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 13, 13, 15, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 13, 7, 35, 63, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 9, 1, 25, 53, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 13, 9, 35, 107, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 5, 27, 61, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 11, 19, 41, 61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 3, 3, 13, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 13, 1, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 5, 13, 19, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 9, 25, 29, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 13, 23, 1, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 3, 13, 59, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 3, 5, 53, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 5, 23, 33, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 7, 1, 61, 123, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 9, 13, 61, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 5, 3, 55, 33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 15, 31, 13, 49, 245, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 15, 31, 59, 63, 97, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 11, 11, 11, 77, 249, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 11, 27, 43, 71, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 15, 21, 11, 81, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 3, 25, 31, 65, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 1, 19, 11, 3, 205, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 9, 19, 21, 29, 157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 11, 1, 33, 89, 185, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 3, 15, 9, 79, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 11, 15, 39, 119, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 1, 11, 31, 97, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 3, 23, 43, 57, 177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 7, 17, 17, 37, 71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 5, 27, 63, 123, 213, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 5, 11, 43, 53, 133, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 5, 29, 17, 47, 173, 479, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 11, 3, 1, 109, 9, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 5, 17, 39, 23, 5, 343, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 5, 25, 15, 31, 103, 499, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 11, 11, 17, 63, 105, 183, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 11, 9, 29, 97, 231, 363, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 15, 19, 45, 41, 7, 383, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 7, 31, 19, 83, 137, 221, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 3, 23, 15, 111, 223, 83, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 13, 31, 15, 55, 25, 161, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 13, 25, 47, 39, 87, 257, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 11, 21, 53, 125, 249, 293, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 11, 11, 7, 57, 79, 323, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 5, 17, 13, 81, 3, 131, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 13, 23, 7, 65, 251, 475, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 1, 9, 43, 3, 149, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 13, 31, 13, 13, 255, 487, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 1, 5, 63, 89, 91, 127, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 3, 1, 19, 123, 127, 237, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 7, 23, 31, 37, 243, 289, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 11, 17, 53, 117, 183, 491, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 5, 1, 13, 13, 209, 345, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 15, 1, 57, 115, 7, 33, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 11, 7, 43, 81, 207, 175, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 1, 15, 27, 63, 255, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 3, 27, 61, 105, 171, 305, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 3, 1, 3, 57, 249, 149, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 5, 5, 57, 15, 13, 159, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 11, 7, 11, 105, 141, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 5, 27, 59, 121, 101, 271, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 9, 11, 49, 51, 59, 115, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 1, 23, 45, 125, 71, 419, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 5, 23, 5, 105, 109, 75, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 15, 7, 11, 67, 121, 453, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 3, 9, 13, 31, 27, 449, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 15, 19, 39, 39, 89, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 33, 73, 145, 379, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 15, 15, 43, 29, 13, 483, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 3, 19, 27, 85, 131, 431, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 3, 5, 35, 23, 195, 349, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 7, 9, 27, 39, 59, 297, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 9, 11, 17, 13, 241, 157, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 15, 25, 57, 33, 189, 213, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 1, 9, 55, 73, 83, 217, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 13, 19, 27, 23, 113, 249, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 3, 23, 43, 3, 253, 479, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 5, 11, 5, 45, 117, 217, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 7, 29, 37, 33, 123, 147, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 15, 5, 5, 37, 227, 223, 459, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 5, 5, 39, 63, 255, 135, 487, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 7, 9, 7, 87, 249, 217, 599, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 13, 9, 47, 7, 225, 363, 247, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 13, 19, 13, 9, 67, 9, 737, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 5, 19, 59, 7, 41, 319, 677, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 3, 31, 63, 15, 43, 207, 789, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 9, 13, 39, 3, 47, 497, 169, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 7, 21, 17, 97, 19, 415, 905, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 1, 3, 31, 71, 111, 165, 127, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 11, 1, 61, 83, 119, 203, 847, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 13, 9, 61, 19, 97, 47, 35, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 7, 7, 15, 29, 63, 95, 417, 469, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 1, 9, 25, 9, 71, 57, 213, 385, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 5, 13, 31, 47, 101, 57, 39, 341, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 3, 31, 57, 125, 173, 365, 551, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 1, 13, 57, 67, 157, 451, 707, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 7, 21, 13, 105, 89, 429, 965, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 5, 9, 17, 51, 45, 119, 157, 141, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 7, 13, 45, 91, 9, 129, 741, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 7, 1, 23, 57, 67, 141, 151, 571, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 3, 11, 17, 47, 93, 107, 375, 157, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 3, 3, 5, 11, 21, 43, 51, 169, 915, 0, 0, 0, 0, 0, 0, 0, 0}, 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{1, 1, 5, 1, 19, 1, 83, 3, 425, 873, 1943, 3935, 4257, 14587, 11829, 55217, 21963, 39683}, {1, 1, 7, 11, 15, 7, 37, 239, 337, 245, 1557, 3681, 7357, 9639, 27367, 26869, 114603, 86317} }; } // namespace at::native::sobol_utils