#pragma once
// Precomputed ROCK4 Chebyshev coefficients for STORK4.
//
// Algorithm: Abdulle, "Fourth Order Chebyshev Methods with Recurrence
// Relation", SIAM J. Sci. Comput., 2002. DOI 10.1137/S1064827500379549.
// Coefficients origin: Mathworks FEX #12129 (rock4 reference Matlab impl).
// Vendored from HOT-Step-CPP (https://github.com/scragnog/HOT-Step-CPP).
//
// MS:   [50]    optimal degree table.
// FPA:  [50][6] finishing procedure A coefficients.
// FPB:  [50][4] finishing procedure B coefficients.
// RECF: [4382]  recurrence coefficients.

static const int STORK4_MS[50] = { 1,  2,  3,  4,  5,  6,  7,  8,  9,  10, 11,  12,  13,  14,  15,  16, 17,
                                   18, 19, 20, 22, 24, 26, 28, 30, 32, 34, 36,  38,  41,  44,  47,  50, 53,
                                   56, 59, 63, 67, 71, 76, 81, 86, 92, 98, 105, 112, 120, 129, 138, 148 };

static const double STORK4_FPA[50][6] = {
    { -0.14935207867269901, 0.62976896298525198, -0.35520106157365,    0.0146745996307541,     -0.055851728160256499,
     0.59031293135270602 },
    { -0.179313593132677,   0.522354978881996,   -0.268020263243268,   0.041064445984854203,   -0.067369267603364105,
     0.53497425289596501 },
    { -0.182428104178289,   0.488581974232839,   -0.24399902737267301, 0.040384446921689701,   -0.062110054256317902,
     0.51089150105495895 },
    { -0.177747282156689,   0.47559889085897,    -0.236544145857569,   0.035787336768073899,   -0.056180240545419702,
     0.49850239378014899 },
    { -0.171097214294784,   0.47102138099613899, -0.23543230117552899, 0.030516514830540301,   -0.050875891310714703,
     0.491537536121394   },
    { -0.16444614511029201, 0.470315341552133,   -0.23705473602465599, 0.0253636332272387,     -0.046236575980773298,
     0.48739415380848899 },
    { -0.15842765517125701, 0.47146887862005499, -0.239853802450812,   0.020574674995203199,   -0.042174435670724902,
     0.48482991301400802 },
    { -0.153293058075572,   0.47328207917703502, -0.242910850765406,   0.016372232110391498,   -0.038710809586169702,
     0.48308103429903698 },
    { -0.14897280430513901, 0.47529695954453699, -0.245899260153289,   0.01272030101911,       -0.035750883975913701,
     0.48182598173929803 },
    { -0.14517993759998199, 0.47766123149112499, -0.248988404183759,   0.0093073070379809195,  -0.033035910537152699,
     0.48107425811390297 },
    { -0.14180377916218201, 0.48029447225159799, -0.252149638985389,   0.0060598054871601999,  -0.030487819033992301,
     0.48071768007925098 },
    { -0.13912194356217,    0.48230756935458502, -0.254656989245024,   0.0034972347936024798,  -0.028463620460630602,
     0.480267545886151   },
    { -0.136626653539895,   0.48464189638375899, -0.25733205771283801, 0.00091586929386000603, -0.0264509129364182,
     0.48015472098439999 },
    { -0.13448644757671399, 0.48675772366069198, -0.259733624852103,   -0.0013598899717015701, -0.024676506125793599,
     0.48008459371467299 },
    { -0.13278067401808299, 0.48832195258704902, -0.26158876941880099, -0.0031370104935072298, -0.0232786280695929,
     0.47988200489959798 },
    { -0.131117609799413,   0.490193639754613,   -0.26364643233928398, -0.0050213472967422599, -0.021813303311269201,
     0.47992906543866898 },
    { -0.12973794320622201, 0.491700319201409,   -0.26533795430074703, -0.0065760271235509203, -0.020597799857612301,
     0.479898556782486   },
    { -0.12854694814168099, 0.493011323225514,   -0.266816177922376,   -0.0079300477170600406, -0.019536961309988301,
     0.47985729963332502 },
    { -0.12746037710444799, 0.494293149884316,   -0.268231271325724,   -0.0092071706117217295, -0.018538600908015599,
     0.479869528636923   },
    { -0.12649641015534199, 0.49545869165996498, -0.26951323237010799, -0.0103575442717928,    -0.017638711552780999,
     0.47988717440428802 },
    { -0.124868416118615,   0.49749059705142501, -0.27173739116521101, -0.012339426018244899,  -0.016086886842795901,
     0.47993272463346898 },
    { -0.12356440551004599, 0.499164732520327,   -0.27356561664095802, -0.013958543625890101,  -0.014816972265603801,
     0.47997374765022999 },
    { -0.122505008329286,   0.50055538394799204, -0.27508179767913699, -0.0152951780850662,    -0.013767077752396,
     0.48000942837517102 },
    { -0.12164032944953,    0.50170040234995406, -0.27633300767278901, -0.0163961730000813,    -0.0129007107727469,
     0.480031673127157   },
    { -0.120917917691482,   0.50267511949125898, -0.27739546605512699, -0.017327780764004701,  -0.0121670308408281,
     0.480054118477096   },
    { -0.120710248396632,   0.50236106558863702, -0.27729918040076301, -0.017345959710717802,  -0.0121268146405534,
     0.47959654472702001 },
    { -0.120151946726542,   0.50318746362500599, -0.27817348908894601, -0.018099866414507299,  -0.0115355117518033,
     0.47966332723843103 },
    { -0.119650804512964,   0.50396884473611303, -0.27898755825132698, -0.0187954561730573,    -0.0109907774512063,
     0.47974880659383501 },
    { -0.119231690274109,   0.50461032755519797, -0.27966201945211,    -0.019373697624180401,  -0.0105368584242475,
     0.47980717225460401 },
    { -0.11868522331161099, 0.50547930994479595, -0.28056602753594101, -0.020143660727748799,  -0.0099329102411447896,
     0.47990313578660299 },
    { -0.118231796286135,   0.50621389067177602, -0.28132749930789502, -0.0207902381330527,    -0.0094255381189223691,
     0.47998855897973702 },
    { -0.117860168810132,   0.50681398655946097, -0.28195173366635301, -0.021320669226885799,  -0.0090087167515903403,
     0.48005389176469199 },
    { -0.11754163240792,    0.50734054709222298, -0.28249616480825301, -0.021781486443030899,  -0.0086467012080963992,
     0.48011695221906803 },
    { -0.11728079129049,    0.50776202473038301, -0.28293610183578,    -0.022155381087118901,  -0.0083523547649161402,
     0.48015958164124301 },
    { -0.117020809344219,   0.50823485360685094, -0.28341124554483899, -0.022551138350941202,  -0.0080425544996107906,
     0.480240908974576   },
    { -0.116840110106662,   0.50851393192733196, -0.28370806186051101, -0.022805443680093102,  -0.0078415743854191103,
     0.48025875819915498 },
    { -0.11699914177609699, 0.50773896536386898, -0.28308555059781798, -0.0223557928014705,    -0.0081764618172943792,
     0.47983908415086601 },
    { -0.116787474223622,   0.50812451006209702, -0.28347317999159299, -0.022678636070856299,  -0.0079237049321540104,
     0.47990500114401802 },
    { -0.11654305324231901, 0.508649023059358,   -0.28397554394204999, -0.023085860976778901,  -0.0076074281773787604,
     0.48004024738877299 },
    { -0.116369877848172,   0.50895067088177903, -0.28428407137285799, -0.023344848437208399,  -0.0074038783606764401,
     0.48008192581572601 },
    { -0.11598183195247699, 0.50994293778905497, -0.28519289233719403, -0.0240615204888854,    -0.0068513467173606599,
     0.48041295810996898 },
    { -0.11593440923987899, 0.50993262579472598, -0.28521406572588998, -0.024092903664929801,  -0.0068232590588860401,
     0.48035328286148699 },
    { -0.114543930853965,   0.51405566696925897, -0.28887712866359599, -0.026918718237803702,  -0.0046526155522202701,
     0.48192841040134798 },
    { -0.114338190892959,   0.51456812932970997, -0.28935446778405799, -0.027297025368486199,  -0.0043583830522169603,
     0.48208273151200698 },
    { -0.11390080670647899, 0.51581524727876304, -0.29047962168151698, -0.028170624226915499,  -0.00368286974902504,
     0.48252474517043298 },
    { -0.114241230745559,   0.51464260593085898, -0.28946473058716898, -0.027403777829678701,  -0.0042701679779179299,
     0.48202969649497601 },
    { -0.113830853818569,   0.51583425467265698, -0.29053556576968698, -0.028233073576424302,  -0.00362939602828681,
     0.48245984741065101 },
    { -0.11310503934621501, 0.51804762903990897, -0.29250854236467,    -0.029750537334679299,  -0.00245703714012197,
     0.483285747825278   },
    { -0.11337369507190601, 0.517118156325443,   -0.29170132074550797, -0.029140674355360101,  -0.0029256057587569899,
     0.48289995127398699 },
    { -0.112938370080633,   0.51844021271320495, -0.292882869228272,   -0.030050232591124701,  -0.00222188377341845,
     0.48338680333440798 }
};

static const double STORK4_FPB[50][4] = {
    { 0.934502625489809,   -0.42655640280113499, -0.428612609028723,   0.74437009057485504 },
    { 0.72742850671028403, -0.28188250061075398, -0.366883181811475,   0.68434132262812797 },
    { 0.67196956806124297, -0.24732702729603001, -0.34841042267572198, 0.65751672249100401 },
    { 0.65561670029798103, -0.238808679740035,   -0.34291809760191799, 0.64327431204817598 },
    { 0.65376663005175695, -0.239717659625342,   -0.34212462537355998, 0.63484289440897301 },
    { 0.65795840155008001, -0.244504571310874,   -0.34312500774782201, 0.62945299409104705 },
    { 0.66464482832750404, -0.250836131475691,   -0.34476776071563697, 0.62580429237155399 },
    { 0.67177892689788299, -0.25734109488849399, -0.34643793672909001, 0.62311378995458899 },
    { 0.67866220612195705, -0.26353856399053399, -0.34797122718030898, 0.62104068322262795 },
    { 0.68571196031075299, -0.26972402726924599, -0.34953590773668203, 0.61956645661727305 },
    { 0.692884607363355,   -0.27588662817335402, -0.35113198073277402, 0.61856850134140096 },
    { 0.69854665689145401, -0.28088100624796902, -0.35228510271385699, 0.617571192399056   },
    { 0.70457392179228095, -0.28604545729172898, -0.353563979295968,   0.61696503080817799 },
    { 0.70997142890598597, -0.29068200822198298, -0.35467918454743302, 0.61646206028919703 },
    { 0.71412517866441005, -0.29434969134761602, -0.35546451059181999, 0.61588857277977205 },
    { 0.71873627456348399, -0.298288036358834,   -0.356401512165052,   0.61559489620638697 },
    { 0.72251738776768504, -0.30156846220494199, -0.35712947868676398, 0.61526764782600496 },
    { 0.72581634381327398, -0.30444811319528098, -0.35774675668856998, 0.61496396197999104 },
    { 0.72897407682086302, -0.30718232058977701, -0.35834548349141698, 0.61473936293610898 },
    { 0.73183239791382504, -0.309659464712225,   -0.35888145619546102, 0.61454490086343205 },
    { 0.73678672948485002, -0.31395728832865699, -0.359797924432667,   0.61422810093511604 },
    { 0.74085409913028599, -0.31749542616145898, -0.36053512168596202, 0.61397379635524096 },
    { 0.74422389619540297, -0.32043363219341697, -0.36113556009348202, 0.61376605489806002 },
    { 0.74700183270043297, -0.322865419691933,   -0.36162035022966998, 0.61358612125266498 },
    { 0.74935943192016097, -0.32493074170189701, -0.36202810794893397, 0.61343837803906498 },
    { 0.74910099832059795, -0.32498599323938299, -0.36179660766219701, 0.61286725814460496 },
    { 0.75104387320069999, -0.32666158630877401, -0.36214781693169601, 0.61280745364795197 },
    { 0.75285462439608697, -0.32821043383100801, -0.36248243145181203, 0.61278210034109004 },
    { 0.75435316988978196, -0.329501139703409,   -0.36275250939677001, 0.612745403519662   },
    { 0.75636301744749901, -0.331222786188901,   -0.36311985055061402, 0.61271946651858    },
    { 0.75805596358013205, -0.33267150682459501, -0.363429198770158,   0.61270391610626296 },
    { 0.75944300472797499, -0.33386233003342197, -0.36367932478079201, 0.61268540876556299 },
    { 0.76065316032700203, -0.33489813957036602, -0.363899175365336,   0.61267730146061095 },
    { 0.761629956010211,   -0.335739950284413,   -0.36407237642315299, 0.61266013938116604 },
    { 0.76268878988762701, -0.33663047458935702, -0.36427478512609202, 0.61268729401385902 },
    { 0.76334640055484904, -0.33720468006758297, -0.36438589613375599, 0.61266178584695297 },
    { 0.76192330484622595, -0.33620615672077903, -0.36397860343208799, 0.612221699604794   },
    { 0.76278680678533095, -0.33693307190762301, -0.36414295690510801, 0.61224321223891198 },
    { 0.76391164434518399, -0.33784862499739698, -0.364378249037553,   0.61233566704168996 },
    { 0.76459756224898401, -0.33843336336764601, -0.36450344122914302, 0.61233904087456703 },
    { 0.7666427811705,     -0.34004427602127602, -0.36496725195101398, 0.612618883157375   },
    { 0.76668255549341202, -0.34011822014835302, -0.36494697303753598, 0.61253831789898305 },
    { 0.77495543874651296, -0.346489297090328,   -0.36691608141107201, 0.61398555467187499 },
    { 0.77602735163968495, -0.34734804366004202, -0.36714741112605698, 0.61410908778337003 },
    { 0.77856313797474197, -0.34933051298810402, -0.36772784351989002, 0.61450209532499001 },
    { 0.77626466416624995, -0.34759473553993497, -0.36715945111623999, 0.61402314852099504 },
    { 0.778679038214519,   -0.349476481579656,   -0.36771595371063998, 0.61440946378468797 },
    { 0.78313124713832305, -0.35292793306479198, -0.36875274109122602, 0.61516668704341104 },
    { 0.78130410449550103, -0.351541585232233,   -0.36830670079027999, 0.61479468826681705 },
    { 0.783969323650751,   -0.35361357119616998, -0.36892253502307598, 0.61523881302329297 }
};

static const double STORK4_RECF[4382] = {
    0.17629629576519409,    0.10671314855437999,    0.12963196939188179,    0.0060979846098696321,
    0.07296375286357569,    0.087498248671493264,   0.0061269498053544459,  0.1026802330400501,
    0.030267447799008501,   0.053457665917352251,   0.064211144884974647,   0.0062972513350723486,
    0.073610670019445962,   0.029542440128768541,   0.084502130079499554,   0.063701981386185685,
    0.041025410739748643,   0.049367341812846438,   0.0064375484147815472,  0.0565596481991614,
    0.0300867406800562,     0.063013379913920475,   0.060925145034589172,   0.071221167393905285,
    0.1014508394981259,     0.032560987725018579,   0.0392399455084615,     0.0065487915827399223,
    0.044995118861941477,   0.030610348214324991,   0.050002693118820218,   0.06157339578289546,
    0.054655163362917973,   0.095705388819747605,   0.061043330202323963,   0.14062902208640371,
    0.026514177772942179,   0.031991003522471757,   0.0066374163380300121,  0.036714730484717281,
    0.031046466539855471,   0.040808085065611108,   0.062407803978404827,   0.044416974362869142,
    0.096082565398333361,   0.04790790953491602,    0.1314940925346221,     0.052992251957315772,
    0.1795490141555294,     0.022036889464073062,   0.026614547981747949,   0.0067085090739738033,
    0.0305673095857384,     0.031404682741313181,   0.033991539860856887,   0.063143476474888258,
    0.036983143580222033,   0.097069509166243587,   0.039664948201917849,   0.1312524251550016,
    0.04237605842481057,    0.16702586101044969,    0.046513112599782629,   0.21749245414208371,
    0.01862250741526137,    0.022508615765387881,   0.0067662020222808211,  0.025868058829244891,
    0.0317004234603281,     0.02877953008086195,    0.063767140238630546,   0.031318677624507761,
    0.098017835241230616,   0.033558640562018502,   0.1322218594416999,     0.035606882312253001,
    0.16587249055396289,    0.037773716735772699,   0.2016177039517425,     0.041196987811916837,
    0.25395728420357538,    0.015950001019336149,   0.01929098080329146,    0.0068137710918926607,
    0.02218226060548395,    0.031947630507681207,   0.024689518490419719,   0.064297086438435541,
    0.02687566748685502,    0.098853981347670747,   0.028796870473158251,   0.13329113343249391,
    0.030510242650507589,   0.16666725566015281,    0.032111803391340843,   0.19932126287175131,
    0.033878407985302228,   0.2348117800966209,     0.036722046988470848,   0.2881723275817451,
    0.013816143695041271,   0.01671925338932986,    0.0068533967147977048,  0.019234053665884671,
    0.032155864720314863,   0.021416259965634388,   0.064749075481551163,   0.023319375901158911,
    0.099580087725140445,   0.02499024766114432,    0.13427485836838929,    0.026470507638714641,
    0.1677665086248348,     0.027806373541799968,   0.19980709625362769,    0.029083987018506358,
    0.23128278288578799,    0.0305442893716617,     0.26634340848122251,    0.032907594575134543,
    0.3198421010321994,     0.01209208337462717,    0.014639562119738809,   0.0068863192324294283,
    0.016848215912143531,   0.032330438356073181,   0.01876598514920064,    0.065131760176883949,
    0.020439051667321861,   0.10020214581575509,    0.0219077033062605,     0.13513694482381081,
    0.02320633429617816,    0.16882205714859061,    0.024366559824587311,   0.20084166117277591,
    0.0254275072391409,     0.231361378704668,      0.026467927735012151,   0.26167496115499927,
    0.02769967463189309,    0.2964076499426887,     0.02970440766084731,    0.35021178126431168,
    0.01067034715302655,    0.01292329710584654,    0.006914320860943588,   0.014878120375258491,
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    0.00043637051988029441, 0.79376266997248268,    0.00043700104913007952, 0.79621628239502029,
    0.0004376155046435118,  0.79860903268335592,    0.00043821449241065791, 0.80094314814416623,
    0.00043879858873567421, 0.8032207505493939,     0.00043936834204565649, 0.80544386234052434,
    0.00043992427457255492, 0.8076144124157677,     0.00044046688391908119, 0.8097342415347859,
    0.00044099664451858317, 0.81180510737277678,    0.00044151400899801457, 0.81382868925321306,
    0.00044201940945238068, 0.81580659258629873,    0.0004425132586383796,  0.81774035303822823,
    0.0004429959510943727,  0.81963144045459402,    0.00044346786419331019, 0.82148126255975706,
    0.00044392935913478698, 0.8232911684526717,     0.00044438078188201939, 0.82506245191851513,
    0.00044482246404920102, 0.82679635457450151,    0.00044525472374441657, 0.82849406886746313,
    0.0004456778663730607,  0.83015674094013159,    0.0004460921854065215,  0.83178547338255848,
    0.00044649796312075119, 0.83338132788476749,    0.00044689547130924011, 0.83494532780651942,
    0.0004472849719748584,  0.83647846068001097,    0.000447666718005005,   0.83798168066139944,
    0.00044804095383452972, 0.83945591094725924,    0.00044840791610095329, 0.8409020461724398,
    0.00044876783429661111, 0.8423209548062871,     0.00044912093142248738, 0.84371348156484693,
    0.00044946742464869251, 0.84508044985746877,    0.00044980752598675408, 0.84642266428718504,
    0.00045014144297916879, 0.8477409132253626,     0.00045046937941196349, 0.84903597148241472,
    0.00045079153605638079, 0.85030860309781875,    0.00045110811144620131, 0.85155956427433277,
    0.00045141930269766809, 0.85278960648312885,    0.00045172530637947739, 0.85399947976857493,
    0.00045202631944084889, 0.85518993628361384,    0.00045232254020628109, 0.85636173408907856,
    0.00045261416944624328, 0.85751564125288671,    0.00045290141153374119, 0.8586524402878235,
    0.00045318447569742078, 0.85977293296958068,    0.00045346357738263842, 0.86087794557981245,
    0.000453738939732713,   0.86196833462219935,    0.0004540107952033793,  0.86304499306282034,
    0.00045427938732426308, 0.86410885714946628,    0.00045454497262197469, 0.86516091386782001,
    0.00045480782272014808, 0.86620220909556656,    0.00045506822663238938, 0.86723385651836482,
    0.00045532649326460829, 0.86825704737403375,    0.00045558295414352201, 0.86927306109308144,
    0.00045583796638817609, 0.87028327690455864,    0.00045609191594102501, 0.87128918647583287,
    0.00045634522107435558, 0.87229240765283356,    0.00045659833618646821, 0.87329469936311466,
    0.0004568517558999058,  0.87429797773711693,    0.00045710601947092632, 0.8753043334925269,
    0.0004573617155151244,  0.8763160506117581,     0.00045761948704833231, 0.87733562632224837,
    0.00045788003683435672, 0.87836579236225154,    0.00045814413302134032, 0.8794095374796469,
    0.00045841261503616409, 0.88047013106635275,    0.00045868639969083417, 0.88155114777432608,
    0.0004589664874357118,  0.88265649288881487,    0.00045925396867117942, 0.88379042814823894,
    0.00045955003000133191, 0.88495759759549197,    0.00045985596027998271, 0.88616305292024655,
    0.00046017315626020711, 0.88741227760382702,    0.00046050312761346772, 0.88871120900565892,
    0.00046084750103297131, 0.8900662573321374,     0.00046120802307852309, 0.89148432020513302,
    0.0004615865613575363,  0.8929727913000981,     0.00046198510357042691, 0.89453956125710588,
    0.00046240575388075149, 0.89619300878965813,    0.00046285072600458599, 0.89794197963744204,
    0.00046332233235471678, 0.89979575074735529,    0.00046382296852972882, 0.90176397684525911,
    0.00046435509241434311, 0.9038566164094044,     0.0004649211971655587,  0.90608383401328008,
    0.00046552377741110182, 0.90845587611621825,    0.00046616528809547439, 0.91098291769626472,
    0.00046684809558794643, 0.91367487769712552
};

static const int STORK4_MS_LEN = 50;