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Use Mersenne Twister to generate random numbers. #329

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Use Mersenne Twister to generate random numbers. #329

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b14b16d
Use Mersenne Twister to generate random numbers
rhysd Jan 12, 2015
7b2ba49
Add a test for Random::MT19937
rhysd Jan 12, 2015
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216 changes: 216 additions & 0 deletions spec/std/random_spec.cr
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Expand Up @@ -41,3 +41,219 @@ describe "Random" do
end
end
end

describe "Random::MT19937" do
it "generates random numbers as generated official implementation" do

# 1000 generated rundom numbers by official C implementation
# http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/CODES/mt19937ar.c
numbers =
[
1067595299, 955945823, 477289528, 4107218783, 4228976476,
3344332714, 3355579695, 227628506, 810200273, 2591290167,
2560260675, 3242736208, 646746669, 1479517882, 4245472273,
1143372638, 3863670494, 3221021970, 1773610557, 1138697238,
1421897700, 1269916527, 2859934041, 1764463362, 3874892047,
3965319921, 72549643, 2383988930, 2600218693, 3237492380,
2792901476, 725331109, 605841842, 271258942, 715137098,
3297999536, 1322965544, 4229579109, 1395091102, 3735697720,
2101727825, 3730287744, 2950434330, 1661921839, 2895579582,
2370511479, 1004092106, 2247096681, 2111242379, 3237345263,
4082424759, 219785033, 2454039889, 3709582971, 835606218,
2411949883, 2735205030, 756421180, 2175209704, 1873865952,
2762534237, 4161807854, 3351099340, 181129879, 3269891896,
776029799, 2218161979, 3001745796, 1866825872, 2133627728,
34862734, 1191934573, 3102311354, 2916517763, 1012402762,
2184831317, 4257399449, 2899497138, 3818095062, 3030756734,
1282161629, 420003642, 2326421477, 2741455717, 1278020671,
3744179621, 271777016, 2626330018, 2560563991, 3055977700,
4233527566, 1228397661, 3595579322, 1077915006, 2395931898,
1851927286, 3013683506, 1999971931, 3006888962, 1049781534,
1488758959, 3491776230, 104418065, 2448267297, 3075614115,
3872332600, 891912190, 3936547759, 2269180963, 2633455084,
1047636807, 2604612377, 2709305729, 1952216715, 207593580,
2849898034, 670771757, 2210471108, 467711165, 263046873,
3569667915, 1042291111, 3863517079, 1464270005, 2758321352,
3790799816, 2301278724, 3106281430, 7974801, 2792461636,
555991332, 621766759, 1322453093, 853629228, 686962251,
1455120532, 957753161, 1802033300, 1021534190, 3486047311,
1902128914, 3701138056, 4176424663, 1795608698, 560858864,
3737752754, 3141170998, 1553553385, 3367807274, 711546358,
2475125503, 262969859, 251416325, 2980076994, 1806565895,
969527843, 3529327173, 2736343040, 2987196734, 1649016367,
2206175811, 3048174801, 3662503553, 3138851612, 2660143804,
1663017612, 1816683231, 411916003, 3887461314, 2347044079,
1015311755, 1203592432, 2170947766, 2569420716, 813872093,
1105387678, 1431142475, 220570551, 4243632715, 4179591855,
2607469131, 3090613241, 282341803, 1734241730, 1391822177,
1001254810, 827927915, 1886687171, 3935097347, 2631788714,
3905163266, 110554195, 2447955646, 3717202975, 3304793075,
3739614479, 3059127468, 953919171, 2590123714, 1132511021,
3795593679, 2788030429, 982155079, 3472349556, 859942552,
2681007391, 2299624053, 647443547, 233600422, 608168955,
3689327453, 1849778220, 1608438222, 3968158357, 2692977776,
2851872572, 246750393, 3582818628, 3329652309, 4036366910,
1012970930, 950780808, 3959768744, 2538550045, 191422718,
2658142375, 3276369011, 2927737484, 1234200027, 1920815603,
3536074689, 1535612501, 2184142071, 3276955054, 428488088,
2378411984, 4059769550, 3913744741, 2732139246, 64369859,
3755670074, 842839565, 2819894466, 2414718973, 1010060670,
1839715346, 2410311136, 152774329, 3485009480, 4102101512,
2852724304, 879944024, 1785007662, 2748284463, 1354768064,
3267784736, 2269127717, 3001240761, 3179796763, 895723219,
865924942, 4291570937, 89355264, 1471026971, 4114180745,
3201939751, 2867476999, 2460866060, 3603874571, 2238880432,
3308416168, 2072246611, 2755653839, 3773737248, 1709066580,
4282731467, 2746170170, 2832568330, 433439009, 3175778732,
26248366, 2551382801, 183214346, 3893339516, 1928168445,
1337157619, 3429096554, 3275170900, 1782047316, 4264403756,
1876594403, 4289659572, 3223834894, 1728705513, 4068244734,
2867840287, 1147798696, 302879820, 1730407747, 1923824407,
1180597908, 1569786639, 198796327, 560793173, 2107345620,
2705990316, 3448772106, 3678374155, 758635715, 884524671,
486356516, 1774865603, 3881226226, 2635213607, 1181121587,
1508809820, 3178988241, 1594193633, 1235154121, 326117244,
2304031425, 937054774, 2687415945, 3192389340, 2003740439,
1823766188, 2759543402, 10067710, 1533252662, 4132494984,
82378136, 420615890, 3467563163, 541562091, 3535949864,
2277319197, 3330822853, 3215654174, 4113831979, 4204996991,
2162248333, 3255093522, 2219088909, 2978279037, 255818579,
2859348628, 3097280311, 2569721123, 1861951120, 2907080079,
2719467166, 998319094, 2521935127, 2404125338, 259456032,
2086860995, 1839848496, 1893547357, 2527997525, 1489393124,
2860855349, 76448234, 2264934035, 744914583, 2586791259,
1385380501, 66529922, 1819103258, 1899300332, 2098173828,
1793831094, 276463159, 360132945, 4178212058, 595015228,
177071838, 2800080290, 1573557746, 1548998935, 378454223,
1460534296, 1116274283, 3112385063, 3709761796, 827999348,
3580042847, 1913901014, 614021289, 4278528023, 1905177404,
45407939, 3298183234, 1184848810, 3644926330, 3923635459,
1627046213, 3677876759, 969772772, 1160524753, 1522441192,
452369933, 1527502551, 832490847, 1003299676, 1071381111,
2891255476, 973747308, 4086897108, 1847554542, 3895651598,
2227820339, 1621250941, 2881344691, 3583565821, 3510404498,
849362119, 862871471, 797858058, 2867774932, 2821282612,
3272403146, 3997979905, 209178708, 1805135652, 6783381,
2823361423, 792580494, 4263749770, 776439581, 3798193823,
2853444094, 2729507474, 1071873341, 1329010206, 1289336450,
3327680758, 2011491779, 80157208, 922428856, 1158943220,
1667230961, 2461022820, 2608845159, 387516115, 3345351910,
1495629111, 4098154157, 3156649613, 3525698599, 4134908037,
446713264, 2137537399, 3617403512, 813966752, 1157943946,
3734692965, 1680301658, 3180398473, 3509854711, 2228114612,
1008102291, 486805123, 863791847, 3189125290, 1050308116,
3777341526, 4291726501, 844061465, 1347461791, 2826481581,
745465012, 2055805750, 4260209475, 2386693097, 2980646741,
447229436, 2077782664, 1232942813, 4023002732, 1399011509,
3140569849, 2579909222, 3794857471, 900758066, 2887199683,
1720257997, 3367494931, 2668921229, 955539029, 3818726432,
1105704962, 3889207255, 2277369307, 2746484505, 1761846513,
2413916784, 2685127085, 4240257943, 1166726899, 4215215715,
3082092067, 3960461946, 1663304043, 2087473241, 4162589986,
2507310778, 1579665506, 767234210, 970676017, 492207530,
1441679602, 1314785090, 3262202570, 3417091742, 1561989210,
3011406780, 1146609202, 3262321040, 1374872171, 1634688712,
1280458888, 2230023982, 419323804, 3262899800, 39783310,
1641619040, 1700368658, 2207946628, 2571300939, 2424079766,
780290914, 2715195096, 3390957695, 163151474, 2309534542,
1860018424, 555755123, 280320104, 1604831083, 2713022383,
1728987441, 3639955502, 623065489, 3828630947, 4275479050,
3516347383, 2343951195, 2430677756, 635534992, 3868699749,
808442435, 3070644069, 4282166003, 2093181383, 2023555632,
1568662086, 3422372620, 4134522350, 3016979543, 3259320234,
2888030729, 3185253876, 4258779643, 1267304371, 1022517473,
815943045, 929020012, 2995251018, 3371283296, 3608029049,
2018485115, 122123397, 2810669150, 1411365618, 1238391329,
1186786476, 3155969091, 2242941310, 1765554882, 279121160,
4279838515, 1641578514, 3796324015, 13351065, 103516986,
1609694427, 551411743, 2493771609, 1316337047, 3932650856,
4189700203, 463397996, 2937735066, 1855616529, 2626847990,
55091862, 3823351211, 753448970, 4045045500, 1274127772,
1124182256, 92039808, 2126345552, 425973257, 386287896,
2589870191, 1987762798, 4084826973, 2172456685, 3366583455,
3602966653, 2378803535, 2901764433, 3716929006, 3710159000,
2653449155, 3469742630, 3096444476, 3932564653, 2595257433,
318974657, 3146202484, 853571438, 144400272, 3768408841,
782634401, 2161109003, 570039522, 1886241521, 14249488,
2230804228, 1604941699, 3928713335, 3921942509, 2155806892,
134366254, 430507376, 1924011722, 276713377, 196481886,
3614810992, 1610021185, 1785757066, 851346168, 3761148643,
2918835642, 3364422385, 3012284466, 3735958851, 2643153892,
3778608231, 1164289832, 205853021, 2876112231, 3503398282,
3078397001, 3472037921, 1748894853, 2740861475, 316056182,
1660426908, 168885906, 956005527, 3984354789, 566521563,
1001109523, 1216710575, 2952284757, 3834433081, 3842608301,
2467352408, 3974441264, 3256601745, 1409353924, 1329904859,
2307560293, 3125217879, 3622920184, 3832785684, 3882365951,
2308537115, 2659155028, 1450441945, 3532257603, 3186324194,
1225603425, 1124246549, 175808705, 3009142319, 2796710159,
3651990107, 160762750, 1902254979, 1698648476, 1134980669,
497144426, 3302689335, 4057485630, 3603530763, 4087252587,
427812652, 286876201, 823134128, 1627554964, 3745564327,
2589226092, 4202024494, 62878473, 3275585894, 3987124064,
2791777159, 1916869511, 2585861905, 1375038919, 1403421920,
60249114, 3811870450, 3021498009, 2612993202, 528933105,
2757361321, 3341402964, 2621861700, 273128190, 4015252178,
3094781002, 1621621288, 2337611177, 1796718448, 1258965619,
4241913140, 2138560392, 3022190223, 4174180924, 450094611,
3274724580, 617150026, 2704660665, 1469700689, 1341616587,
356715071, 1188789960, 2278869135, 1766569160, 2795896635,
57824704, 2893496380, 1235723989, 1630694347, 3927960522,
428891364, 1814070806, 2287999787, 4125941184, 3968103889,
3548724050, 1025597707, 1404281500, 2002212197, 92429143,
2313943944, 2403086080, 3006180634, 3561981764, 1671860914,
1768520622, 1803542985, 844848113, 3006139921, 1410888995,
1157749833, 2125704913, 1789979528, 1799263423, 741157179,
2405862309, 767040434, 2655241390, 3663420179, 2172009096,
2511931187, 1680542666, 231857466, 1154981000, 157168255,
1454112128, 3505872099, 1929775046, 2309422350, 2143329496,
2960716902, 407610648, 2938108129, 2581749599, 538837155,
2342628867, 430543915, 740188568, 1937713272, 3315215132,
2085587024, 4030765687, 766054429, 3517641839, 689721775,
1294158986, 1753287754, 4202601348, 1974852792, 33459103,
3568087535, 3144677435, 1686130825, 4134943013, 3005738435,
3599293386, 426570142, 754104406, 3660892564, 1964545167,
829466833, 821587464, 1746693036, 1006492428, 1595312919,
1256599985, 1024482560, 1897312280, 2902903201, 691790057,
1037515867, 3176831208, 1968401055, 2173506824, 1089055278,
1748401123, 2941380082, 968412354, 1818753861, 2973200866,
3875951774, 1119354008, 3988604139, 1647155589, 2232450826,
3486058011, 3655784043, 3759258462, 847163678, 1082052057,
989516446, 2871541755, 3196311070, 3929963078, 658187585,
3664944641, 2175149170, 2203709147, 2756014689, 2456473919,
3890267390, 1293787864, 2830347984, 3059280931, 4158802520,
1561677400, 2586570938, 783570352, 1355506163, 31495586,
3789437343, 3340549429, 2092501630, 896419368, 671715824,
3530450081, 3603554138, 1055991716, 3442308219, 1499434728,
3130288473, 3639507000, 17769680, 2259741420, 487032199,
4227143402, 3693771256, 1880482820, 3924810796, 381462353,
4017855991, 2452034943, 2736680833, 2209866385, 2128986379,
437874044, 595759426, 641721026, 1636065708, 3899136933,
629879088, 3591174506, 351984326, 2638783544, 2348444281,
2341604660, 2123933692, 143443325, 1525942256, 364660499,
599149312, 939093251, 1523003209, 106601097, 376589484,
1346282236, 1297387043, 764598052, 3741218111, 933457002,
1886424424, 3219631016, 525405256, 3014235619, 323149677,
2038881721, 4100129043, 2851715101, 2984028078, 1888574695,
2014194741, 3515193880, 4180573530, 3461824363, 2641995497,
3179230245, 2902294983, 2217320456, 4040852155, 1784656905,
3311906931, 87498458, 2752971818, 2635474297, 2831215366,
3682231106, 2920043893, 3772929704, 2816374944, 309949752,
2383758854, 154870719, 385111597, 1191604312, 1840700563,
872191186, 2925548701, 1310412747, 2102066999, 1504727249,
3574298750, 1191230036, 3330575266, 3180292097, 3539347721,
681369118, 3305125752, 3648233597, 950049240, 4173257693,
1760124957, 512151405, 681175196, 580563018, 1169662867,
4015033554, 2687781101, 699691603, 2673494188, 1137221356,
123599888, 472658308, 1053598179, 1012713758, 3481064843,
3759461013, 3981457956, 3830587662, 1877191791, 3650996736,
988064871, 3515461600, 4089077232, 2225147448, 1249609188,
2643151863, 3896204135, 2416995901, 1397735321, 3460025646,
]

m = Random::MT19937.new [0x123, 0x234, 0x345, 0x456]
numbers.each do |n|
m.next_number.should eq(n)
end
end
end