File: twtable.h

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/**

 * @file  twtable.h

 * @brief Tracy-Widom distribution

 */



#ifndef INCLUDE_TWTABLE_H_

#define INCLUDE_TWTABLE_H_

const double TWXVAL[] =

 {
-8.0, -7.9, -7.8, -7.7, -7.6, -7.5, -7.4, -7.3, -7.2, -7.1, -7.0, -6.9,
-6.8, -6.7, -6.6, -6.5, -6.4, -6.3, -6.2, -6.1, -6.0, -5.9, -5.8, -5.7,
-5.6, -5.5, -5.4, -5.3, -5.2, -5.1, -5.0, -4.9, -4.8, -4.7, -4.6, -4.5,
-4.4, -4.3, -4.2, -4.1, -4.0, -3.9, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3,
-3.2, -3.1, -3.0, -2.9, -2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2.1,
-2.0, -1.9, -1.8, -1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -1.0, -0.9,
-0.8, -0.7, -0.6, -0.5, -0.4, -0.3, -0.2, -0.1, 0.0, 0.1, 0.2, 0.3, 0.4,
0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8,
1.9, 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3.0, 3.1, 3.2,
3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4.0, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6,
4.7, 4.8, 4.9, 5.0, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 6.0,
6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 7.0, 7.1, 7.2, 7.3, 7.4,
7.5, 7.6, 7.7, 7.8, 7.9, 8.0
};



const double TWXTAIL[] =
{
1.000000000, 1.000000000, 1.000000000, 1.000000000, 1.000000000,
1.000000000, 1.000000000, 0.999999999, 0.999999999, 0.999999997,
0.999999995, 0.999999989, 0.999999978, 0.999999958, 0.999999920,
0.999999849, 0.999999723, 0.999999498, 0.999999105, 0.999998431,
0.999997293, 0.999995401, 0.999992309, 0.999987331, 0.999979441,
0.999967125, 0.999948187, 0.999919496, 0.999876655, 0.999813597,
0.999722082, 0.999591101, 0.999406175, 0.999148569, 0.998794427,
0.998313849, 0.997669962, 0.996818016, 0.995704571, 0.994266851,
0.992432322, 0.990118582, 0.987233631, 0.983676579, 0.979338843,
0.974105853, 0.967859270, 0.960479677, 0.951849687, 0.941857369,
0.930399881, 0.917387157, 0.902745495, 0.886420892, 0.868381957,
0.848622271, 0.827162053, 0.804049066, 0.779358684, 0.753193114,
0.725679802, 0.696969061, 0.667231036, 0.636652122, 0.605430961,
0.573774198, 0.541892124, 0.509994383, 0.478285870, 0.446962951,
0.416210105, 0.386197065, 0.357076521, 0.328982392, 0.302028689,
0.276308949, 0.251896179, 0.228843301, 0.207183986, 0.186933854,
0.168091934, 0.150642330, 0.134556018, 0.119792709, 0.106302721,
0.094028817, 0.082907953, 0.072872924, 0.063853860, 0.055779577,
0.048578763, 0.042180992, 0.036517582, 0.031522284, 0.027131832,
0.023286351, 0.019929640, 0.017009350, 0.014477062, 0.012288293,
0.010402429, 0.008782605, 0.007395547, 0.006211384, 0.005203434,
0.004347977, 0.003624031, 0.003013114, 0.002499018, 0.002067590,
0.001706520, 0.001405143, 0.001154255, 0.000945945, 0.000773431,
0.000630927, 0.000513508, 0.000416999, 0.000337871, 0.000273152,
0.000220344, 0.000177359, 0.000142452, 0.000114170, 0.000091308,
0.000072871, 0.000058035, 0.000046124, 0.000036582, 0.000028955,
0.000022872, 0.000018030, 0.000014185, 0.000011138, 0.000008728,
0.000006826, 0.000005328, 0.000004151, 0.000003228, 0.000002505,
0.000001941, 0.000001501, 0.000001158, 0.000000892, 0.000000686,
0.000000527, 0.000000403, 0.000000308, 0.000000235, 0.000000179,
0.000000136, 0.000000104, 0.000000079, 0.000000059, 0.000000045,
0.000000034, 0.000000025, 0.000000019, 0.000000014, 0.000000011,
0.000000008

};



const double TWXPDF[] =

{
0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000,
0.000000001, 0.000000002, 0.000000005, 0.000000010, 0.000000019,
0.000000039, 0.000000076, 0.000000146, 0.000000276, 0.000000511,
0.000000932, 0.000001670, 0.000002942, 0.000005097, 0.000008683,
0.000014554, 0.000024005, 0.000038969, 0.000062279, 0.000098012,
0.000151923, 0.000231995, 0.000349097, 0.000517756, 0.000757035,
0.001091485, 0.001552137, 0.002177466, 0.003014256, 0.004118267,
0.005554591, 0.007397591, 0.009730295, 0.012643159, 0.016232112,
0.020595851, 0.025832397, 0.032034971, 0.039287325, 0.047658716,
0.057198759, 0.067932445, 0.079855636, 0.092931337, 0.107087044,
0.122213418, 0.138164458, 0.154759279, 0.171785501, 0.189004169,
0.206156009, 0.222968755, 0.239165233, 0.254471803, 0.268626779,
0.281388431, 0.292542221, 0.301906945, 0.309339558, 0.314738516,
0.318045543, 0.319245849, 0.318366852, 0.315475570, 0.310674866,
0.304098784, 0.295907232, 0.286280263, 0.275412215, 0.263505933,
0.250767272, 0.237400053, 0.223601597, 0.209558915, 0.195445624,
0.181419571, 0.167621190, 0.154172511, 0.141176787, 0.128718659,
0.116864772, 0.105664756, 0.095152500, 0.085347620, 0.076257058,
0.067876743, 0.060193257, 0.053185457, 0.046826015, 0.041082856,
0.035920459, 0.031301023, 0.027185487, 0.023534398, 0.020308645,
0.017470054, 0.014981856, 0.012809046, 0.010918644, 0.009279861,
0.007864200, 0.006645482, 0.005599836, 0.004705636, 0.003943413,
0.003295741, 0.002747112, 0.002283795, 0.001893694, 0.001566204,
0.001292071, 0.001063253, 0.000872795, 0.000714702, 0.000583831,
0.000475784, 0.000386816, 0.000313749, 0.000253894, 0.000204987,
0.000165125, 0.000132716, 0.000106431, 0.000085163, 0.000067996,
0.000054172, 0.000043066, 0.000034164, 0.000027045, 0.000021365,
0.000016843, 0.000013250, 0.000010403, 0.000008151, 0.000006374,
0.000004974, 0.000003874, 0.000003011, 0.000002336, 0.000001809,
0.000001398, 0.000001078, 0.000000830, 0.000000638, 0.000000489,
0.000000375, 0.000000286, 0.000000218, 0.000000166, 0.000000126,
0.000000096, 0.000000073, 0.000000055, 0.000000041, 0.000000031,
0.000000023

};



const int TWTABSIZE = 161;

#endif	/* INCLUDE_TWTABLE_H_ */

// g qlo qmed qhi qrat qrat/tau   :q
const double MPTABLE[] = 
{
0.00,  1,  1,  1,  1,  1.615891,  
0.000010,  0.997443897,  0.999996667,  1.002553788,  0.005109908,  1.615894833,  
0.000020,  0.996384450,  0.999993333,  1.003610921,  0.007226519,  1.615898879,  
0.000030,  0.995571240,  0.999990000,  1.004421815,  0.008850663,  1.615902629,  
0.000040,  0.994885493,  0.999986667,  1.005105247,  0.010219890,  1.615906485,  
0.000050,  0.994281202,  0.999983333,  1.005707224,  0.011426212,  1.615910459,  
0.000060,  0.993734771,  0.999980000,  1.006251340,  0.012516819,  1.615914377,  
0.000070,  0.993232185,  0.999976667,  1.006751611,  0.013519741,  1.615918178,  
0.000080,  0.992764310,  0.999973333,  1.007217171,  0.014453246,  1.615922063,  
0.000090,  0.992324803,  0.999970000,  1.007654363,  0.015330020,  1.615925950,  
0.000100,  0.991909046,  0.999966667,  1.008067806,  0.016159299,  1.615929874,  
0.000110,  0.991513551,  0.999963333,  1.008460986,  0.016948056,  1.615933758,  
0.000120,  0.991135610,  0.999960000,  1.008836612,  0.017701710,  1.615937634,  
0.000130,  0.990773069,  0.999956666,  1.009196838,  0.018424568,  1.615941468,  
0.000140,  0.990424180,  0.999953333,  1.009543412,  0.019120124,  1.615945396,  
0.000150,  0.990087506,  0.999950000,  1.009877772,  0.019791256,  1.615949283,  
0.000160,  0.989761841,  0.999946666,  1.010201121,  0.020440370,  1.615953124,  
0.000170,  0.989446170,  0.999943333,  1.010514478,  0.021069502,  1.615957041,  
0.000180,  0.989139622,  0.999940000,  1.010818712,  0.021680391,  1.615960959,  
0.000190,  0.988841446,  0.999936666,  1.011114573,  0.022274538,  1.615964839,  
0.000200,  0.988550989,  0.999933333,  1.011402714,  0.022853248,  1.615968681,  
0.000210,  0.988267680,  0.999930000,  1.011683708,  0.023417667,  1.615972551,  
0.000220,  0.987991014,  0.999926666,  1.011958060,  0.023968804,  1.615976451,  
0.000230,  0.987720541,  0.999923333,  1.012226218,  0.024507556,  1.615980370,  
0.000240,  0.987455863,  0.999919999,  1.012488581,  0.025034720,  1.615984253,  
0.000250,  0.987196622,  0.999916666,  1.012745508,  0.025551016,  1.615988127,  
0.000260,  0.986942492,  0.999913333,  1.012997322,  0.026057088,  1.615991997,  
0.000270,  0.986693184,  0.999909999,  1.013244316,  0.026553522,  1.615995895,  
0.000280,  0.986448430,  0.999906666,  1.013486755,  0.027040849,  1.615999796,  
0.000290,  0.986207990,  0.999903332,  1.013724880,  0.027519550,  1.616003646,  
0.000300,  0.985971641,  0.999899999,  1.013958914,  0.027990072,  1.616007545,  
0.000310,  0.985739182,  0.999896666,  1.014189059,  0.028452818,  1.616011444,  
0.000320,  0.985510424,  0.999893332,  1.014415501,  0.028908160,  1.616015292,  
0.000330,  0.985285197,  0.999889999,  1.014638414,  0.029356447,  1.616019195,  
0.000340,  0.985063340,  0.999886666,  1.014857956,  0.029797993,  1.616023079,  
0.000350,  0.984844706,  0.999883332,  1.015074275,  0.030233096,  1.616026969,  
0.000360,  0.984629158,  0.999879999,  1.015287508,  0.030662029,  1.616030842,  
0.000370,  0.984416568,  0.999876665,  1.015497783,  0.031085049,  1.616034729,  
0.000380,  0.984206817,  0.999873332,  1.015705219,  0.031502392,  1.616038609,  
0.000390,  0.983999794,  0.999869998,  1.015909928,  0.031914283,  1.616042528,  
0.000400,  0.983795394,  0.999866665,  1.016112013,  0.032320928,  1.616046410,  
0.000410,  0.983593520,  0.999863332,  1.016311572,  0.032722524,  1.616050278,  
0.000420,  0.983394080,  0.999859998,  1.016508698,  0.033119255,  1.616054177,  
0.000430,  0.983196986,  0.999856665,  1.016703476,  0.033511293,  1.616058048,  
0.000440,  0.983002159,  0.999853331,  1.016895988,  0.033898801,  1.616061913,  
0.000450,  0.982809521,  0.999849998,  1.017086312,  0.034281933,  1.616065831,  
0.000460,  0.982619000,  0.999846665,  1.017274518,  0.034660833,  1.616069682,  
0.000470,  0.982430526,  0.999843331,  1.017460677,  0.035035640,  1.616073574,  
0.000480,  0.982244035,  0.999839998,  1.017644853,  0.035406483,  1.616077457,  
0.000490,  0.982059465,  0.999836664,  1.017827108,  0.035773486,  1.616081352,  
0.000500,  0.981876758,  0.999833331,  1.018007500,  0.036136764,  1.616085237,  
0.000510,  0.981695859,  0.999829997,  1.018186085,  0.036496431,  1.616089123,  
0.000520,  0.981516713,  0.999826664,  1.018362916,  0.036852591,  1.616093019,  
0.000530,  0.981339271,  0.999823331,  1.018538043,  0.037205345,  1.616096904,  
0.000540,  0.981163485,  0.999819997,  1.018711514,  0.037554789,  1.616100785,  
0.000550,  0.980989310,  0.999816664,  1.018883375,  0.037901014,  1.616104673,  
0.000560,  0.980816700,  0.999813330,  1.019053670,  0.038244109,  1.616108573,  
0.000570,  0.980645615,  0.999809997,  1.019222440,  0.038584156,  1.616112454,  
0.000580,  0.980476015,  0.999806663,  1.019389725,  0.038921235,  1.616116319,  
0.000590,  0.980307861,  0.999803330,  1.019555564,  0.039255423,  1.616120204,  
0.000600,  0.980141117,  0.999799996,  1.019719993,  0.039586794,  1.616124081,  
0.000610,  0.979975748,  0.999796663,  1.019883048,  0.039915417,  1.616127986,  
0.000620,  0.979811719,  0.999793330,  1.020044761,  0.040241358,  1.616131849,  
0.000630,  0.979649000,  0.999789996,  1.020205166,  0.040564685,  1.616135745,  
0.000640,  0.979487558,  0.999786663,  1.020364293,  0.040885458,  1.616139623,  
0.000650,  0.979327364,  0.999783329,  1.020522173,  0.041203737,  1.616143537,  
0.000660,  0.979168388,  0.999779996,  1.020678833,  0.041519579,  1.616147421,  
0.000670,  0.979010605,  0.999776662,  1.020834301,  0.041833039,  1.616151282,  
0.000680,  0.978853987,  0.999773329,  1.020988605,  0.042144171,  1.616155186,  
0.000690,  0.978698508,  0.999769995,  1.021141769,  0.042453026,  1.616159064,  
0.000700,  0.978544144,  0.999766662,  1.021293818,  0.042759652,  1.616162932,  
0.000710,  0.978390870,  0.999763328,  1.021444777,  0.043064099,  1.616166835,  
0.000720,  0.978238665,  0.999759995,  1.021594668,  0.043366412,  1.616170736,  
0.000730,  0.978087505,  0.999756661,  1.021743512,  0.043666633,  1.616174592,  
0.000740,  0.977937370,  0.999753328,  1.021891333,  0.043964808,  1.616178496,  
0.000750,  0.977788238,  0.999749994,  1.022038150,  0.044260977,  1.616182386,  
0.000760,  0.977640090,  0.999746661,  1.022183983,  0.044555181,  1.616186266,  
0.000770,  0.977492906,  0.999743328,  1.022328852,  0.044847457,  1.616190158,  
0.000780,  0.977346668,  0.999739994,  1.022472775,  0.045137843,  1.616194035,  
0.000790,  0.977201358,  0.999736660,  1.022615771,  0.045426376,  1.616197927,  
0.000800,  0.977056957,  0.999733327,  1.022757857,  0.045713091,  1.616201819,  
0.000810,  0.976913449,  0.999729994,  1.022899050,  0.045998021,  1.616205705,  
0.000820,  0.976770818,  0.999726660,  1.023039366,  0.046281199,  1.616209571,  
0.000830,  0.976629047,  0.999723326,  1.023178822,  0.046562658,  1.616213452,  
0.000840,  0.976488121,  0.999719993,  1.023317434,  0.046842430,  1.616217367,  
0.000850,  0.976348024,  0.999716660,  1.023455215,  0.047120542,  1.616221245,  
0.000860,  0.976208744,  0.999713326,  1.023592181,  0.047397025,  1.616225132,  
0.000870,  0.976070264,  0.999709992,  1.023728346,  0.047671907,  1.616229021,  
0.000880,  0.975932572,  0.999706659,  1.023863723,  0.047945216,  1.616232888,  
0.000890,  0.975795653,  0.999703326,  1.023998327,  0.048216978,  1.616236790,  
0.000900,  0.975659496,  0.999699992,  1.024132169,  0.048487220,  1.616240658,  
0.000910,  0.975524087,  0.999696658,  1.024265264,  0.048755967,  1.616244569,  
0.000920,  0.975389414,  0.999693325,  1.024397622,  0.049023243,  1.616248446,  
0.000930,  0.975255465,  0.999689992,  1.024529256,  0.049289071,  1.616252323,  
0.000940,  0.975122228,  0.999686658,  1.024660178,  0.049553477,  1.616256218,  
0.000950,  0.974989692,  0.999683324,  1.024790399,  0.049816482,  1.616260113,  
0.000960,  0.974857847,  0.999679991,  1.024919929,  0.050078108,  1.616263974,  
0.000970,  0.974726680,  0.999676657,  1.025048781,  0.050338377,  1.616267879,  
0.000980,  0.974596183,  0.999673324,  1.025176964,  0.050597310,  1.616271775,  
0.000990,  0.974466344,  0.999669990,  1.025304488,  0.050854926,  1.616275660,  
0.001000,  0.974337154,  0.999666657,  1.025431363,  0.051111247,  1.616279536,  
0.001010,  0.974208603,  0.999663323,  1.025557600,  0.051366291,  1.616283438,  
0.001020,  0.974080681,  0.999659990,  1.025683207,  0.051620078,  1.616287324,  
0.001030,  0.973953379,  0.999656656,  1.025808193,  0.051872624,  1.616291186,  
0.001040,  0.973826689,  0.999653323,  1.025932569,  0.052123950,  1.616295088,  
0.001050,  0.973700601,  0.999649989,  1.026056342,  0.052374073,  1.616298970,  
0.001060,  0.973575107,  0.999646656,  1.026179521,  0.052623008,  1.616302850,  
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0.986000,  0.161834487,  0.657912245,  1.609123186,  2.199820279,  2.215382618,  
0.987000,  0.161434108,  0.657545748,  1.609287656,  2.201905422,  2.216358882,  
0.988000,  0.161033988,  0.657179193,  1.609451838,  2.203992254,  2.217336426,  
0.989000,  0.160634126,  0.656812579,  1.609615732,  2.206080780,  2.218315251,  
0.990000,  0.160234522,  0.656445906,  1.609779340,  2.208171008,  2.219295365,  
0.991000,  0.159835175,  0.656079175,  1.609942660,  2.210262938,  2.220276766,  
0.992000,  0.159436085,  0.655712385,  1.610105695,  2.212356580,  2.221259459,  
0.993000,  0.159037250,  0.655345536,  1.610268442,  2.214451936,  2.222243448,  
0.994000,  0.158638671,  0.654978629,  1.610430903,  2.216549010,  2.223228731,  
0.995000,  0.158240347,  0.654611662,  1.610593079,  2.218647811,  2.224215316,  
0.996000,  0.157842277,  0.654244637,  1.610754970,  2.220748343,  2.225203210,  
0.997000,  0.157444460,  0.653877552,  1.610916576,  2.222850611,  2.226192408,  
0.998000,  0.157046898,  0.653510408,  1.611077897,  2.224954618,  2.227182916,  
0.999000,  0.156649587,  0.653143204,  1.611238934,  2.227060371,  2.228174737,  
1.000000,  0.156253,  0.652776,  1.161140,  2,229160,  2.229160  
};

const int MPTABSIZE = 11090  ;