package gates_test

import (
	"errors"
	"testing"

	"github.com/consensys/gnark-crypto/field/goldilocks"
	"github.com/consensys/gnark/frontend"
	"github.com/consensys/gnark/test"
	"github.com/succinctlabs/gnark-plonky2-verifier/field"
	"github.com/succinctlabs/gnark-plonky2-verifier/poseidon"
	"github.com/succinctlabs/gnark-plonky2-verifier/verifier/internal/gates"
	"github.com/succinctlabs/gnark-plonky2-verifier/verifier/utils"
)

// From recursive_step circuit
var localConstants = []field.QuadraticExtension{
	{field.NewFieldElement(1164933405384298079), field.NewFieldElement(7438400583921661370)},
	{field.NewFieldElement(13151230530771189075), field.NewFieldElement(13023721207846057894)},
	{field.NewFieldElement(3881971040049882570), field.NewFieldElement(16581297326342691797)},
	{field.NewFieldElement(5184944824742294361), field.NewFieldElement(4925002013441838394)},
	{field.NewFieldElement(13156856690013129271), field.NewFieldElement(11795766134230417198)},
}

var localWires = []field.QuadraticExtension{
	{field.NewFieldElement(10289971018233574142), field.NewFieldElement(4567684908222573778)},
	{field.NewFieldElement(11564178579868812087), field.NewFieldElement(4510091545046358953)},
	{field.NewFieldElement(2427374067806073277), field.NewFieldElement(6911441533263492425)},
	{field.NewFieldElement(7693977127287585254), field.NewFieldElement(9885192257977663560)},
	{field.NewFieldElement(4829743769894031521), field.NewFieldElement(1070322096310857911)},
	{field.NewFieldElement(841614584488095356), field.NewFieldElement(3266720090708573245)},
	{field.NewFieldElement(9335841732020668562), field.NewFieldElement(7959135654284183511)},
	{field.NewFieldElement(16824107175117300959), field.NewFieldElement(14823581113270528881)},
	{field.NewFieldElement(4989727169526686805), field.NewFieldElement(6246956987038299573)},
	{field.NewFieldElement(17410065909497815114), field.NewFieldElement(226319705525892670)},
	{field.NewFieldElement(4568933895769710275), field.NewFieldElement(6430695446169305195)},
	{field.NewFieldElement(8067075753959020505), field.NewFieldElement(6018662820882606998)},
	{field.NewFieldElement(9927277077277524164), field.NewFieldElement(12530942893897967446)},
	{field.NewFieldElement(404931240594605346), field.NewFieldElement(13956134990453188947)},
	{field.NewFieldElement(12279755093013597997), field.NewFieldElement(13891866662848929655)},
	{field.NewFieldElement(3995291408937855383), field.NewFieldElement(7649506537726031013)},
	{field.NewFieldElement(1975344541433284175), field.NewFieldElement(11787783246524974192)},
	{field.NewFieldElement(9352725388265956899), field.NewFieldElement(1878641993746760905)},
	{field.NewFieldElement(4386025806925594020), field.NewFieldElement(7199468962263347888)},
	{field.NewFieldElement(457758515510439949), field.NewFieldElement(8295940174808817473)},
	{field.NewFieldElement(3721711968672629644), field.NewFieldElement(13268744315779792869)},
	{field.NewFieldElement(14873968601320376905), field.NewFieldElement(14469960382794471278)},
	{field.NewFieldElement(16643239035786323413), field.NewFieldElement(14266572255541493756)},
	{field.NewFieldElement(9756649839930289884), field.NewFieldElement(14084246204123262540)},
	{field.NewFieldElement(805087434192149117), field.NewFieldElement(5551650411462295908)},
	{field.NewFieldElement(3121050229008788536), field.NewFieldElement(315617444959225213)},
	{field.NewFieldElement(18164560008695666572), field.NewFieldElement(6915918288299894752)},
	{field.NewFieldElement(17656666988744688487), field.NewFieldElement(9787463123892858839)},
	{field.NewFieldElement(9992120570629943241), field.NewFieldElement(18182369503102252267)},
	{field.NewFieldElement(15220763248754170044), field.NewFieldElement(1854765527825350374)},
	{field.NewFieldElement(15616805521198580886), field.NewFieldElement(8948185005335797211)},
	{field.NewFieldElement(5104021995850318050), field.NewFieldElement(10884053699840350390)},
	{field.NewFieldElement(14387430073456386871), field.NewFieldElement(3987323970221931246)},
	{field.NewFieldElement(9295222033249226038), field.NewFieldElement(14533816739722288989)},
	{field.NewFieldElement(3054662272834320691), field.NewFieldElement(5799349468053737645)},
	{field.NewFieldElement(15410493100888282738), field.NewFieldElement(9030544573372043855)},
	{field.NewFieldElement(11448080360124361095), field.NewFieldElement(13429854637967689056)},
	{field.NewFieldElement(4779070979822400436), field.NewFieldElement(5404234368643419051)},
	{field.NewFieldElement(11659320767511898018), field.NewFieldElement(13702970547443564662)},
	{field.NewFieldElement(16340059712300851313), field.NewFieldElement(20171293486753699)},
	{field.NewFieldElement(1475826372470535678), field.NewFieldElement(1253469117109386509)},
	{field.NewFieldElement(7562163184139742598), field.NewFieldElement(14347739950500988111)},
	{field.NewFieldElement(15976520527988523610), field.NewFieldElement(17889280665602982933)},
	{field.NewFieldElement(8598539842276402160), field.NewFieldElement(2411306720494404310)},
	{field.NewFieldElement(15713704960139943242), field.NewFieldElement(16396602336341678687)},
	{field.NewFieldElement(7189190822731370344), field.NewFieldElement(5963822095937242833)},
	{field.NewFieldElement(5977752474999875040), field.NewFieldElement(5328103649776423975)},
	{field.NewFieldElement(12531991299101111394), field.NewFieldElement(3159886804356965397)},
	{field.NewFieldElement(16883082502877021850), field.NewFieldElement(4442238822519720348)},
	{field.NewFieldElement(4348679245531311390), field.NewFieldElement(6663472094175428592)},
	{field.NewFieldElement(7628612474113215133), field.NewFieldElement(9324555027165483004)},
	{field.NewFieldElement(1900695998785588032), field.NewFieldElement(12588745891116448183)},
	{field.NewFieldElement(2202928383842031597), field.NewFieldElement(2024867731300461655)},
	{field.NewFieldElement(9288136643086730543), field.NewFieldElement(4131544415785473139)},
	{field.NewFieldElement(14704106408467038509), field.NewFieldElement(8573856691828273)},
	{field.NewFieldElement(10154176515490297025), field.NewFieldElement(9220235036944332858)},
	{field.NewFieldElement(11339644645342271702), field.NewFieldElement(2591119884720569491)},
	{field.NewFieldElement(12952838693708363443), field.NewFieldElement(7634778748701478612)},
	{field.NewFieldElement(4151157005304656172), field.NewFieldElement(16778323503511515227)},
	{field.NewFieldElement(6326750425597671757), field.NewFieldElement(2556963653256638700)},
	{field.NewFieldElement(10167058989235599247), field.NewFieldElement(8755493046703376087)},
	{field.NewFieldElement(9610925836484089978), field.NewFieldElement(15994816336634155710)},
	{field.NewFieldElement(4153283843312210367), field.NewFieldElement(14936117891656525941)},
	{field.NewFieldElement(2708678512120193106), field.NewFieldElement(13963185898630435716)},
	{field.NewFieldElement(6555777227864205496), field.NewFieldElement(796547906377203466)},
	{field.NewFieldElement(9137905566620576524), field.NewFieldElement(5424975077133394401)},
	{field.NewFieldElement(10344710254569827655), field.NewFieldElement(5782463375043965385)},
	{field.NewFieldElement(5971898539021849982), field.NewFieldElement(8119512366912747083)},
	{field.NewFieldElement(10858355567899666102), field.NewFieldElement(18000616751093068478)},
	{field.NewFieldElement(16920330711313364238), field.NewFieldElement(8697067496869918100)},
	{field.NewFieldElement(7000103501288736536), field.NewFieldElement(10889037926963847627)},
	{field.NewFieldElement(2293930382336564785), field.NewFieldElement(1991911172589808532)},
	{field.NewFieldElement(16325792322333215740), field.NewFieldElement(10408910622457883954)},
	{field.NewFieldElement(7503118294246863546), field.NewFieldElement(3698311130768729720)},
	{field.NewFieldElement(8086040183115185263), field.NewFieldElement(5047183760990874466)},
	{field.NewFieldElement(9862182807054696027), field.NewFieldElement(1177341139111149965)},
	{field.NewFieldElement(16001172854107018622), field.NewFieldElement(10666261425617835543)},
	{field.NewFieldElement(5580184714347609844), field.NewFieldElement(12694115766192868759)},
	{field.NewFieldElement(18281558831138544975), field.NewFieldElement(3361626347282823513)},
	{field.NewFieldElement(3031997905089686532), field.NewFieldElement(15324883672435732043)},
	{field.NewFieldElement(450952121891526527), field.NewFieldElement(3760645720813651878)},
	{field.NewFieldElement(12802993704800176346), field.NewFieldElement(5762382859373230998)},
	{field.NewFieldElement(3276893202573968613), field.NewFieldElement(1800240087286854287)},
	{field.NewFieldElement(5921423446901282771), field.NewFieldElement(1701259673949139858)},
	{field.NewFieldElement(9599792256793291230), field.NewFieldElement(14953029539933413769)},
	{field.NewFieldElement(6924230983683680937), field.NewFieldElement(11341266871925411757)},
	{field.NewFieldElement(7369845262101528427), field.NewFieldElement(14511942995651504957)},
	{field.NewFieldElement(3575537879709813183), field.NewFieldElement(8500642062708926725)},
	{field.NewFieldElement(4175897998808440429), field.NewFieldElement(3374384071922541929)},
	{field.NewFieldElement(12757283027846003446), field.NewFieldElement(17905830097386863938)},
	{field.NewFieldElement(6320876143845688240), field.NewFieldElement(11931531275984972701)},
	{field.NewFieldElement(18217933064159243751), field.NewFieldElement(10071176713368801471)},
	{field.NewFieldElement(4777714881679002884), field.NewFieldElement(11864655235286620829)},
	{field.NewFieldElement(5051586433049660820), field.NewFieldElement(9706334979530647226)},
	{field.NewFieldElement(10142518025690185130), field.NewFieldElement(11625111857426302867)},
	{field.NewFieldElement(12942439955200094763), field.NewFieldElement(12974281474830386034)},
	{field.NewFieldElement(12714064210006754841), field.NewFieldElement(10541770037347437502)},
	{field.NewFieldElement(10048643184275048639), field.NewFieldElement(3986690477062097502)},
	{field.NewFieldElement(1705165528883143091), field.NewFieldElement(15274852618321664478)},
	{field.NewFieldElement(7505339430009963451), field.NewFieldElement(15833594687115464439)},
	{field.NewFieldElement(14969085142351848679), field.NewFieldElement(1313378114647584372)},
	{field.NewFieldElement(13860248504174697653), field.NewFieldElement(11813005399232850289)},
	{field.NewFieldElement(251943684565772115), field.NewFieldElement(7573719044708266257)},
	{field.NewFieldElement(3106490314923518751), field.NewFieldElement(6708785325259176544)},
	{field.NewFieldElement(16356137633407478618), field.NewFieldElement(10204772059332988569)},
	{field.NewFieldElement(6854820980459043959), field.NewFieldElement(15547517301904265885)},
	{field.NewFieldElement(11272546272005349344), field.NewFieldElement(13048057766361438654)},
	{field.NewFieldElement(1292326010164513793), field.NewFieldElement(3884499312974286465)},
	{field.NewFieldElement(13766861546348177296), field.NewFieldElement(16189793227494584882)},
	{field.NewFieldElement(17409073821234659314), field.NewFieldElement(9981103842753464857)},
	{field.NewFieldElement(9704863891305672730), field.NewFieldElement(6734589298170331622)},
	{field.NewFieldElement(12730115352516859625), field.NewFieldElement(7184752625986384624)},
	{field.NewFieldElement(11668345947294231238), field.NewFieldElement(16115042113565080691)},
	{field.NewFieldElement(14062084624592649794), field.NewFieldElement(2756332865729973692)},
	{field.NewFieldElement(3748768277402965633), field.NewFieldElement(16866814743891506413)},
	{field.NewFieldElement(10432481590948249422), field.NewFieldElement(16082227217718892532)},
	{field.NewFieldElement(491495918184990934), field.NewFieldElement(6356796615401236136)},
	{field.NewFieldElement(17901902629808882123), field.NewFieldElement(13514738065473981771)},
	{field.NewFieldElement(12660442011781098101), field.NewFieldElement(6869178288883388452)},
	{field.NewFieldElement(4393627135520874514), field.NewFieldElement(18356603129965580261)},
	{field.NewFieldElement(677707009508889751), field.NewFieldElement(12680875774839515608)},
	{field.NewFieldElement(10378933644525583340), field.NewFieldElement(13309450528739048419)},
	{field.NewFieldElement(17340442394158194152), field.NewFieldElement(2264038306172498436)},
	{field.NewFieldElement(3370239755875426470), field.NewFieldElement(16608802578078035004)},
	{field.NewFieldElement(10934853199725686361), field.NewFieldElement(16013313141655891901)},
	{field.NewFieldElement(13594205540632772459), field.NewFieldElement(2004743885124905326)},
	{field.NewFieldElement(2746704624744404227), field.NewFieldElement(16776409524391586509)},
	{field.NewFieldElement(3958873682280414366), field.NewFieldElement(1600073271711289868)},
	{field.NewFieldElement(2428249869256780385), field.NewFieldElement(4540186883415041033)},
	{field.NewFieldElement(11471613891518396403), field.NewFieldElement(12378090703999608437)},
	{field.NewFieldElement(2473054093631985558), field.NewFieldElement(6016173170699559864)},
	{field.NewFieldElement(5753078745189531749), field.NewFieldElement(7917608537613216175)},
	{field.NewFieldElement(8855440271433298214), field.NewFieldElement(16093723431433530090)},
	{field.NewFieldElement(18386320557740714138), field.NewFieldElement(8240697133069742104)},
	{field.NewFieldElement(15199992048380262587), field.NewFieldElement(2301519535136472331)},
	{field.NewFieldElement(5102771513133979026), field.NewFieldElement(12570336536575987923)},
}

var publicInputsHash = poseidon.Hash{field.ZERO_F, field.ZERO_F, field.ZERO_F, field.ZERO_F}

var publicInputGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(10289971018233574142), field.NewFieldElement(4567684908222573778)},
	{field.NewFieldElement(11564178579868812087), field.NewFieldElement(4510091545046358953)},
	{field.NewFieldElement(2427374067806073277), field.NewFieldElement(6911441533263492425)},
	{field.NewFieldElement(7693977127287585254), field.NewFieldElement(9885192257977663560)},
}

// BaseSumGate { num_limbs: 63 }), (Base: 2)
var baseSumGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(11424008506420489027), field.NewFieldElement(2915141729320103909)},
	{field.NewFieldElement(990850510351998129), field.NewFieldElement(10775195787959069600)},
	{field.NewFieldElement(6614688617813304624), field.NewFieldElement(11090441606706959264)},
	{field.NewFieldElement(17750388994193092499), field.NewFieldElement(9822716613211085052)},
	{field.NewFieldElement(15668686535963465292), field.NewFieldElement(5860790519230132950)},
	{field.NewFieldElement(9301693563861638036), field.NewFieldElement(5759072521542705927)},
	{field.NewFieldElement(1463677617048504116), field.NewFieldElement(657088188145156737)},
	{field.NewFieldElement(11221326157331101168), field.NewFieldElement(3258353713560294154)},
	{field.NewFieldElement(6298170343528505052), field.NewFieldElement(1515404430931450244)},
	{field.NewFieldElement(10609142393996097059), field.NewFieldElement(5676353771077187085)},
	{field.NewFieldElement(15377741222281320), field.NewFieldElement(17210062473996670458)},
	{field.NewFieldElement(16623098697475668629), field.NewFieldElement(16010660943931470875)},
	{field.NewFieldElement(13742463434921610007), field.NewFieldElement(11069510319782271171)},
	{field.NewFieldElement(14872905802739821087), field.NewFieldElement(16577474870939262513)},
	{field.NewFieldElement(15699671366929256655), field.NewFieldElement(15598194197245819873)},
	{field.NewFieldElement(10679123900573339697), field.NewFieldElement(10228522398312889861)},
	{field.NewFieldElement(8872281223292031801), field.NewFieldElement(1329834573379055460)},
	{field.NewFieldElement(2535224613123191755), field.NewFieldElement(12786291812393663221)},
	{field.NewFieldElement(17788228910394641125), field.NewFieldElement(5545904820430114370)},
	{field.NewFieldElement(10489817294122939391), field.NewFieldElement(14636352222428121923)},
	{field.NewFieldElement(10852238020744398528), field.NewFieldElement(2312796082809010853)},
	{field.NewFieldElement(5067875522341132442), field.NewFieldElement(2107737958122288286)},
	{field.NewFieldElement(17283146688878926257), field.NewFieldElement(8456549639899437925)},
	{field.NewFieldElement(10637171512256553781), field.NewFieldElement(6390530901963054085)},
	{field.NewFieldElement(7586090218847390134), field.NewFieldElement(13687926314033375459)},
	{field.NewFieldElement(9523662200490053374), field.NewFieldElement(13361040406642218763)},
	{field.NewFieldElement(634822311162237689), field.NewFieldElement(9630483174624222223)},
	{field.NewFieldElement(15242934013445465604), field.NewFieldElement(1135488709061427932)},
	{field.NewFieldElement(10311174951052257420), field.NewFieldElement(524968500387403585)},
	{field.NewFieldElement(6646751050961926593), field.NewFieldElement(8684017064299024213)},
	{field.NewFieldElement(16629184374162391253), field.NewFieldElement(13745216788879851113)},
	{field.NewFieldElement(15725765914323741961), field.NewFieldElement(4607182206571650287)},
	{field.NewFieldElement(4905637093691966606), field.NewFieldElement(218562275165442331)},
	{field.NewFieldElement(15526612325511973871), field.NewFieldElement(5770955229659050735)},
	{field.NewFieldElement(9591223869277908917), field.NewFieldElement(1518900007157334701)},
	{field.NewFieldElement(14713177841944866109), field.NewFieldElement(16661134545564989407)},
	{field.NewFieldElement(4236602876840371235), field.NewFieldElement(12185730046300426061)},
	{field.NewFieldElement(14844502873470690827), field.NewFieldElement(5567680392033564858)},
	{field.NewFieldElement(5550472614893629959), field.NewFieldElement(17955875404530787722)},
	{field.NewFieldElement(9965647340229188622), field.NewFieldElement(12067752288619191155)},
	{field.NewFieldElement(15624184226617424434), field.NewFieldElement(13522086059807517857)},
	{field.NewFieldElement(6001948917737119729), field.NewFieldElement(10555349705067997421)},
	{field.NewFieldElement(7967852853408273634), field.NewFieldElement(16393445105337145265)},
	{field.NewFieldElement(13601491066758079307), field.NewFieldElement(11390709918813075818)},
	{field.NewFieldElement(5704706916270196865), field.NewFieldElement(17007264058732032659)},
	{field.NewFieldElement(18354610167186324196), field.NewFieldElement(16917152819910011122)},
	{field.NewFieldElement(6026824824087688959), field.NewFieldElement(11547555659280958524)},
	{field.NewFieldElement(15645938871784252821), field.NewFieldElement(12381341093764170444)},
	{field.NewFieldElement(1202470274460413029), field.NewFieldElement(3583599940021118482)},
	{field.NewFieldElement(5248479930891455774), field.NewFieldElement(2393692482194449448)},
	{field.NewFieldElement(13386434971986911647), field.NewFieldElement(12326376082602154018)},
	{field.NewFieldElement(11327299405009394635), field.NewFieldElement(7538844592867989882)},
	{field.NewFieldElement(7984839537656677309), field.NewFieldElement(6441274039505923023)},
	{field.NewFieldElement(3942932013374375924), field.NewFieldElement(6548354659360045418)},
	{field.NewFieldElement(10139699962065730425), field.NewFieldElement(16908585391181627242)},
	{field.NewFieldElement(18094104343668325187), field.NewFieldElement(8370083050741645827)},
	{field.NewFieldElement(12131340922292526267), field.NewFieldElement(17299488555769517106)},
	{field.NewFieldElement(11470330746430670818), field.NewFieldElement(15960507373360402879)},
	{field.NewFieldElement(386512699105836065), field.NewFieldElement(8986007306829996238)},
	{field.NewFieldElement(1834598616243509000), field.NewFieldElement(14626792908408543748)},
	{field.NewFieldElement(17890037858181404101), field.NewFieldElement(17018218424290394313)},
	{field.NewFieldElement(11758664078194540174), field.NewFieldElement(16603941107284246147)},
	{field.NewFieldElement(14022184733842887279), field.NewFieldElement(13741139908708752348)},
	{field.NewFieldElement(4836630213324422487), field.NewFieldElement(222498232493222193)},
}

// ArithmeticGate { num_ops: 20 }
var arithmeticGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(12119614175182896132), field.NewFieldElement(9100747776469133669)},
	{field.NewFieldElement(1435113994507051493), field.NewFieldElement(16937897191584383857)},
	{field.NewFieldElement(51616472710099652), field.NewFieldElement(4146295929435411488)},
	{field.NewFieldElement(92237181388579392), field.NewFieldElement(12824787281527009080)},
	{field.NewFieldElement(11063958613047368831), field.NewFieldElement(516751095582253219)},
	{field.NewFieldElement(8881502495740733965), field.NewFieldElement(5405782271334426100)},
	{field.NewFieldElement(9646745645960524278), field.NewFieldElement(6323317609176095073)},
	{field.NewFieldElement(10334354202446659881), field.NewFieldElement(17865166204439996809)},
	{field.NewFieldElement(9511789862027881130), field.NewFieldElement(17897392861017078901)},
	{field.NewFieldElement(4686618214331097217), field.NewFieldElement(7102232698145277151)},
	{field.NewFieldElement(5140381642477065044), field.NewFieldElement(15554316144351441473)},
	{field.NewFieldElement(14252043934312871974), field.NewFieldElement(1198292921407928539)},
	{field.NewFieldElement(13289413398237564138), field.NewFieldElement(15704998539419457452)},
	{field.NewFieldElement(4800979510155331538), field.NewFieldElement(14057404157182035427)},
	{field.NewFieldElement(17908028924715246889), field.NewFieldElement(8716376706845369224)},
	{field.NewFieldElement(3226678693544038862), field.NewFieldElement(5577680088492344738)},
	{field.NewFieldElement(10987852156126930017), field.NewFieldElement(16323667584216755558)},
	{field.NewFieldElement(5135981108938961064), field.NewFieldElement(6684115991562770960)},
	{field.NewFieldElement(8519638889718596339), field.NewFieldElement(7662028578892995756)},
	{field.NewFieldElement(7747323897933750795), field.NewFieldElement(6872730347313691927)},
}

// RandomAccessGate { bits: 4, num_copies: 4, num_extra_constants: 2, _phantom: PhantomData<plonky2_field::goldilocks_field::GoldilocksField> }<D=2>
var randomAccessGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(2891299230460455680), field.NewFieldElement(12638923114586787038)},
	{field.NewFieldElement(10369791235277272383), field.NewFieldElement(11178254747952182382)},
	{field.NewFieldElement(2609100974341658152), field.NewFieldElement(7141157629969452340)},
	{field.NewFieldElement(10885639242129231953), field.NewFieldElement(10224819739496777877)},
	{field.NewFieldElement(15486139493712450489), field.NewFieldElement(17924944477102802615)},
	{field.NewFieldElement(5969758517166950176), field.NewFieldElement(4139464862931677318)},
	{field.NewFieldElement(7251510967440451429), field.NewFieldElement(11634060506931912043)},
	{field.NewFieldElement(581371472896562405), field.NewFieldElement(1340263685452848185)},
	{field.NewFieldElement(11876289968532354241), field.NewFieldElement(39606365246086104)},
	{field.NewFieldElement(17037991399414168046), field.NewFieldElement(9356315359108087151)},
	{field.NewFieldElement(13506822543872334969), field.NewFieldElement(14166594210473057923)},
	{field.NewFieldElement(530968584207084639), field.NewFieldElement(12346975065647187607)},
	{field.NewFieldElement(8780439534301283756), field.NewFieldElement(14250307971393105395)},
	{field.NewFieldElement(5955166439403627952), field.NewFieldElement(427818832806268253)},
	{field.NewFieldElement(10383473532295208089), field.NewFieldElement(10834018170496866410)},
	{field.NewFieldElement(17770159895239813531), field.NewFieldElement(3803908573438301448)},
	{field.NewFieldElement(5230956285821863871), field.NewFieldElement(13187949446452303832)},
	{field.NewFieldElement(4082775007574051589), field.NewFieldElement(17608951079871259588)},
	{field.NewFieldElement(15832332042406144153), field.NewFieldElement(9112933169473505864)},
	{field.NewFieldElement(17289713569232165217), field.NewFieldElement(764355564171754371)},
	{field.NewFieldElement(11875388597093781742), field.NewFieldElement(17390337221018798452)},
	{field.NewFieldElement(14723779398624676305), field.NewFieldElement(4351422752569601515)},
	{field.NewFieldElement(7898206414568399642), field.NewFieldElement(3781389637016766144)},
	{field.NewFieldElement(10959059343195760030), field.NewFieldElement(17524903422154932359)},
	{field.NewFieldElement(7305896571823662942), field.NewFieldElement(12962835460398538761)},
	{field.NewFieldElement(5653738395766265725), field.NewFieldElement(8097455003461687478)},
}

// PoseidonGate(PhantomData<plonky2_field::goldilocks_field::GoldilocksField>)<WIDTH=12>
var poseidonGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(7586090218847390134), field.NewFieldElement(13687926314033375459)},
	{field.NewFieldElement(10774680496478357997), field.NewFieldElement(14419929234728022600)},
	{field.NewFieldElement(983485807903636414), field.NewFieldElement(3028876395437704592)},
	{field.NewFieldElement(5873163034459252869), field.NewFieldElement(11720300428168955402)},
	{field.NewFieldElement(16261775977438390033), field.NewFieldElement(15598817592005081227)},
	{field.NewFieldElement(3308439339359285309), field.NewFieldElement(16350160944703138332)},
	{field.NewFieldElement(2477915029208949035), field.NewFieldElement(10909058342937234971)},
	{field.NewFieldElement(2006101431747008114), field.NewFieldElement(1317396811566929515)},
	{field.NewFieldElement(5743380333218483835), field.NewFieldElement(9864892326580372485)},
	{field.NewFieldElement(4343047746155696133), field.NewFieldElement(2452956674303649004)},
	{field.NewFieldElement(18237771591472199486), field.NewFieldElement(9201720967486340889)},
	{field.NewFieldElement(7997743545022954538), field.NewFieldElement(5790905224346459337)},
	{field.NewFieldElement(7270313259765139533), field.NewFieldElement(13664497978956485388)},
	{field.NewFieldElement(11627392666242516567), field.NewFieldElement(6707531853885096654)},
	{field.NewFieldElement(14108041676779390728), field.NewFieldElement(13890317640467961363)},
	{field.NewFieldElement(10461937206408578346), field.NewFieldElement(16929842020525911045)},
	{field.NewFieldElement(14163490001894639417), field.NewFieldElement(6486250350832733344)},
	{field.NewFieldElement(6025822272051423893), field.NewFieldElement(6875599327185319749)},
	{field.NewFieldElement(11800406778761598568), field.NewFieldElement(13445736562420900345)},
	{field.NewFieldElement(8721632296347252438), field.NewFieldElement(15861696011210243831)},
	{field.NewFieldElement(13862698645551446166), field.NewFieldElement(10895802231885823011)},
	{field.NewFieldElement(9467131299943023152), field.NewFieldElement(508610840287781764)},
	{field.NewFieldElement(10369576299876905473), field.NewFieldElement(1319089684709412204)},
	{field.NewFieldElement(17202741125808968481), field.NewFieldElement(4132975454251812345)},
	{field.NewFieldElement(4939406044782203142), field.NewFieldElement(18100435685377738067)},
	{field.NewFieldElement(2662601992953696766), field.NewFieldElement(5356898997486457355)},
	{field.NewFieldElement(12240740991568526347), field.NewFieldElement(14183052793978601368)},
	{field.NewFieldElement(17267799754824241908), field.NewFieldElement(15067892579134674951)},
	{field.NewFieldElement(3885637219153712510), field.NewFieldElement(2045928245539296545)},
	{field.NewFieldElement(7614199998298216925), field.NewFieldElement(13135807303144108264)},
	{field.NewFieldElement(12232208765790877245), field.NewFieldElement(6790391920585566719)},
	{field.NewFieldElement(14027621788671850076), field.NewFieldElement(8244116705079721069)},
	{field.NewFieldElement(18361849947075265980), field.NewFieldElement(636640170174188211)},
	{field.NewFieldElement(15400723839777269850), field.NewFieldElement(7187627113110641974)},
	{field.NewFieldElement(11208418886499216060), field.NewFieldElement(1068905181682993370)},
	{field.NewFieldElement(8741978871712571992), field.NewFieldElement(11893984108008599655)},
	{field.NewFieldElement(5904231306484990036), field.NewFieldElement(10974042651195177783)},
	{field.NewFieldElement(12306264278608747297), field.NewFieldElement(6054935933756948006)},
	{field.NewFieldElement(4439661353730067518), field.NewFieldElement(13536513851562309841)},
	{field.NewFieldElement(13020734370698999772), field.NewFieldElement(163773705062531020)},
	{field.NewFieldElement(10365756846699668634), field.NewFieldElement(5245413619357449)},
	{field.NewFieldElement(15929862436085820709), field.NewFieldElement(10957910821863876318)},
	{field.NewFieldElement(977018799724983158), field.NewFieldElement(15040949766668867994)},
	{field.NewFieldElement(2993125862244950582), field.NewFieldElement(13234404554976574543)},
	{field.NewFieldElement(14122201262568632993), field.NewFieldElement(93763383340088526)},
	{field.NewFieldElement(8975477202804925208), field.NewFieldElement(1040893022864763499)},
	{field.NewFieldElement(7725813871064262870), field.NewFieldElement(14455479145922718826)},
	{field.NewFieldElement(1073062170185630790), field.NewFieldElement(16407856079088655345)},
	{field.NewFieldElement(17737117878818849535), field.NewFieldElement(1900599912944642061)},
	{field.NewFieldElement(12256168642879070567), field.NewFieldElement(8539769760609459864)},
	{field.NewFieldElement(15141228232285134803), field.NewFieldElement(897120225935075003)},
	{field.NewFieldElement(3388596123376728329), field.NewFieldElement(5128230734992475590)},
	{field.NewFieldElement(8733319491992764673), field.NewFieldElement(1928863683866117576)},
	{field.NewFieldElement(5203485787146767490), field.NewFieldElement(12954094447445057610)},
	{field.NewFieldElement(5201734155949618873), field.NewFieldElement(3995115267673262244)},
	{field.NewFieldElement(8666839426855174616), field.NewFieldElement(3659748522909014185)},
	{field.NewFieldElement(9240426493517714121), field.NewFieldElement(12895319645103780590)},
	{field.NewFieldElement(10104523192405168095), field.NewFieldElement(8335084014759232790)},
	{field.NewFieldElement(12471660706832322357), field.NewFieldElement(16692471091408210242)},
	{field.NewFieldElement(7713567301004647325), field.NewFieldElement(2346765742178693341)},
	{field.NewFieldElement(5087966313974874861), field.NewFieldElement(17995538175842083522)},
	{field.NewFieldElement(1103485120645095922), field.NewFieldElement(17358959631107792889)},
	{field.NewFieldElement(16443030134912318512), field.NewFieldElement(4694929981527462915)},
	{field.NewFieldElement(5229836547906072694), field.NewFieldElement(10529861755371621018)},
	{field.NewFieldElement(17706463046886551260), field.NewFieldElement(7014625543777947259)},
	{field.NewFieldElement(17494246083650429806), field.NewFieldElement(10059232320812188522)},
	{field.NewFieldElement(6009623857477500128), field.NewFieldElement(9041821915077023327)},
	{field.NewFieldElement(15414837134646072506), field.NewFieldElement(17735866267331281406)},
	{field.NewFieldElement(9582418254228040565), field.NewFieldElement(9475780400052940525)},
	{field.NewFieldElement(3850010214259020229), field.NewFieldElement(2344916032711572881)},
	{field.NewFieldElement(3276478492985700631), field.NewFieldElement(9347511148183965796)},
	{field.NewFieldElement(4260955157349956538), field.NewFieldElement(3737557221553060525)},
	{field.NewFieldElement(1814028760671441115), field.NewFieldElement(1709540851509897224)},
	{field.NewFieldElement(304220870213251471), field.NewFieldElement(18339319635968408171)},
	{field.NewFieldElement(6309601903165399081), field.NewFieldElement(4611660338915358676)},
	{field.NewFieldElement(5440836432197140901), field.NewFieldElement(835184832962669050)},
	{field.NewFieldElement(4132483007111889331), field.NewFieldElement(17679464861654166329)},
	{field.NewFieldElement(12071698679631585615), field.NewFieldElement(3526806430507304767)},
	{field.NewFieldElement(16570124099871162516), field.NewFieldElement(16394949299416922104)},
	{field.NewFieldElement(11779301434103087470), field.NewFieldElement(9928702854994401626)},
	{field.NewFieldElement(486097273023099818), field.NewFieldElement(1666631222233964241)},
	{field.NewFieldElement(13426511095962901265), field.NewFieldElement(16977352762229561063)},
	{field.NewFieldElement(7848259968166982335), field.NewFieldElement(8923641610835432771)},
	{field.NewFieldElement(6717523783985825261), field.NewFieldElement(8442698012198213832)},
	{field.NewFieldElement(16551829854897630528), field.NewFieldElement(1207332518477764340)},
	{field.NewFieldElement(9552262459546034571), field.NewFieldElement(4701791517562735608)},
	{field.NewFieldElement(6527201331407091692), field.NewFieldElement(10762913938781033944)},
	{field.NewFieldElement(11212416663128404375), field.NewFieldElement(6847749339754298086)},
	{field.NewFieldElement(10791247438031342492), field.NewFieldElement(3448715099533950037)},
	{field.NewFieldElement(1719220253088662156), field.NewFieldElement(15702968714187742357)},
	{field.NewFieldElement(14008817631758138024), field.NewFieldElement(17297897981954620228)},
	{field.NewFieldElement(7768014097976613936), field.NewFieldElement(15806402621409309279)},
	{field.NewFieldElement(3886721256453659755), field.NewFieldElement(16395869594056206627)},
	{field.NewFieldElement(13997073954856864246), field.NewFieldElement(1233051863712529371)},
	{field.NewFieldElement(11334349192463912274), field.NewFieldElement(5454820034730801470)},
	{field.NewFieldElement(7648426950649263998), field.NewFieldElement(9412547620105462810)},
	{field.NewFieldElement(2869115266070242006), field.NewFieldElement(9873001547032180059)},
	{field.NewFieldElement(11864269740491424738), field.NewFieldElement(3771973823544233765)},
	{field.NewFieldElement(9374340554044631499), field.NewFieldElement(11414175937704649426)},
	{field.NewFieldElement(8970748854700874383), field.NewFieldElement(2703579039677419011)},
	{field.NewFieldElement(3743841601176432106), field.NewFieldElement(11043980835019875782)},
	{field.NewFieldElement(1654705359096618107), field.NewFieldElement(4374088811382131752)},
	{field.NewFieldElement(10209435051454821145), field.NewFieldElement(4087979231575661143)},
	{field.NewFieldElement(9566392584670645438), field.NewFieldElement(5102479111558561813)},
	{field.NewFieldElement(4542214823227660682), field.NewFieldElement(16447152846983873546)},
	{field.NewFieldElement(3619667706484141693), field.NewFieldElement(3976495805371636999)},
	{field.NewFieldElement(14677559952589127978), field.NewFieldElement(1506330427474903904)},
	{field.NewFieldElement(9618330319963013853), field.NewFieldElement(7774314641304317232)},
	{field.NewFieldElement(15136595569611237026), field.NewFieldElement(6241976546079100101)},
	{field.NewFieldElement(6190131967820348937), field.NewFieldElement(8898314655028146727)},
	{field.NewFieldElement(10664902807329902141), field.NewFieldElement(399679411582475270)},
	{field.NewFieldElement(4620231951016842028), field.NewFieldElement(14227502135369964656)},
	{field.NewFieldElement(14442830168084065060), field.NewFieldElement(18194643570654368962)},
	{field.NewFieldElement(6026772169794354979), field.NewFieldElement(15538586941211648185)},
	{field.NewFieldElement(3305763071851691617), field.NewFieldElement(7414963068017211970)},
	{field.NewFieldElement(2348819716102409971), field.NewFieldElement(3414253607649082297)},
	{field.NewFieldElement(5561613987159516190), field.NewFieldElement(18108137586585031915)},
	{field.NewFieldElement(11622858756456645517), field.NewFieldElement(5481788959889711288)},
	{field.NewFieldElement(14329441999576805903), field.NewFieldElement(7316385947805485474)},
	{field.NewFieldElement(6619906970666076294), field.NewFieldElement(11606453814479815487)},
	{field.NewFieldElement(273184393202580706), field.NewFieldElement(15538333835729971074)},
	{field.NewFieldElement(16891566794426605557), field.NewFieldElement(432853148035369520)},
	{field.NewFieldElement(3134481789780853760), field.NewFieldElement(10023938129020275945)},
}

var reducingExtensionGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(12512260201049243975), field.NewFieldElement(5104620179714279781)},
	{field.NewFieldElement(13013016297591764071), field.NewFieldElement(3905565448987160512)},
	{field.NewFieldElement(18168316387479509651), field.NewFieldElement(15285510648877030958)},
	{field.NewFieldElement(2704136035168106924), field.NewFieldElement(17701154289967205509)},
	{field.NewFieldElement(6350634844525158810), field.NewFieldElement(6841530668953763541)},
	{field.NewFieldElement(14558428225759052231), field.NewFieldElement(6228114011555775975)},
	{field.NewFieldElement(11984059988070020226), field.NewFieldElement(6404501976404464308)},
	{field.NewFieldElement(7499833675686066082), field.NewFieldElement(13203954482927844021)},
	{field.NewFieldElement(53729277296365862), field.NewFieldElement(11604944835579274791)},
	{field.NewFieldElement(649276793194856338), field.NewFieldElement(15769159485820654298)},
	{field.NewFieldElement(7220059241713171194), field.NewFieldElement(7593947467996717503)},
	{field.NewFieldElement(11725388872832717991), field.NewFieldElement(2472966042937251891)},
	{field.NewFieldElement(17103067711705259268), field.NewFieldElement(12741737218458998807)},
	{field.NewFieldElement(2053029714235535081), field.NewFieldElement(5621084618445985853)},
	{field.NewFieldElement(394074652594148954), field.NewFieldElement(14480160107167739683)},
	{field.NewFieldElement(16319639492172307693), field.NewFieldElement(18262596047016856354)},
	{field.NewFieldElement(7349401242823131130), field.NewFieldElement(16637643780538375248)},
	{field.NewFieldElement(2968776512542894745), field.NewFieldElement(7967382686110631950)},
	{field.NewFieldElement(4131567287142440211), field.NewFieldElement(16488573781037653146)},
	{field.NewFieldElement(3210618110340609396), field.NewFieldElement(15575562053796139855)},
	{field.NewFieldElement(866179987510198517), field.NewFieldElement(1621207644178469397)},
	{field.NewFieldElement(13787839347867512750), field.NewFieldElement(5082451965770365331)},
	{field.NewFieldElement(16727747831341625951), field.NewFieldElement(17003066965000183599)},
	{field.NewFieldElement(5844378810576570680), field.NewFieldElement(7917389141334353441)},
	{field.NewFieldElement(2806785896842529320), field.NewFieldElement(2418902247526900913)},
	{field.NewFieldElement(16911660151499877134), field.NewFieldElement(12021165187528883860)},
	{field.NewFieldElement(17281860563566587308), field.NewFieldElement(907492056629373413)},
	{field.NewFieldElement(2149753706739034128), field.NewFieldElement(12371022473774589200)},
	{field.NewFieldElement(7841056796552151745), field.NewFieldElement(3143088841967149638)},
	{field.NewFieldElement(11915031067231681577), field.NewFieldElement(18108223564563708813)},
	{field.NewFieldElement(2094314575212662773), field.NewFieldElement(188561272841399737)},
	{field.NewFieldElement(16712479120741377751), field.NewFieldElement(13153292267876520211)},
	{field.NewFieldElement(11528911604171979726), field.NewFieldElement(889050185568489714)},
	{field.NewFieldElement(13117878881472895975), field.NewFieldElement(2608864599443833112)},
	{field.NewFieldElement(310976139454954605), field.NewFieldElement(271726012479588385)},
	{field.NewFieldElement(4724981023605656141), field.NewFieldElement(7786903198345013664)},
	{field.NewFieldElement(7358470379588594806), field.NewFieldElement(5500290420069122896)},
	{field.NewFieldElement(11249736961064437940), field.NewFieldElement(7500992311029866319)},
	{field.NewFieldElement(16247982877846154545), field.NewFieldElement(18437922661172982146)},
	{field.NewFieldElement(14828806288276948771), field.NewFieldElement(161861918745757497)},
	{field.NewFieldElement(12207866405175784678), field.NewFieldElement(17882395070256177480)},
	{field.NewFieldElement(1862300191557939305), field.NewFieldElement(12946149812989300425)},
	{field.NewFieldElement(113183958399514852), field.NewFieldElement(6003153612730483196)},
	{field.NewFieldElement(17112839880895845290), field.NewFieldElement(3628345828628316007)},
	{field.NewFieldElement(8779978792406228661), field.NewFieldElement(11992923889396921201)},
	{field.NewFieldElement(6179077038148294340), field.NewFieldElement(11713998999910876710)},
	{field.NewFieldElement(13454002959297605186), field.NewFieldElement(2204743745696912515)},
	{field.NewFieldElement(15623020893752344305), field.NewFieldElement(13749522681861530980)},
	{field.NewFieldElement(6206230970377487041), field.NewFieldElement(16389331421791613953)},
	{field.NewFieldElement(2425462828014799977), field.NewFieldElement(1558769431852532736)},
	{field.NewFieldElement(2327926263345738065), field.NewFieldElement(8779034796068602190)},
	{field.NewFieldElement(14563770135458078041), field.NewFieldElement(6494115966350812505)},
	{field.NewFieldElement(8082502921781233722), field.NewFieldElement(7935499582140944140)},
	{field.NewFieldElement(14539277379887693704), field.NewFieldElement(5161629331161118775)},
	{field.NewFieldElement(13736527598285458228), field.NewFieldElement(7309962536813433388)},
	{field.NewFieldElement(13933813405709515396), field.NewFieldElement(17798686485131016236)},
	{field.NewFieldElement(8897530535975229493), field.NewFieldElement(14404791097089986313)},
	{field.NewFieldElement(18088311324021484864), field.NewFieldElement(11991882587468162630)},
	{field.NewFieldElement(8956488301372897339), field.NewFieldElement(8045253716620738816)},
	{field.NewFieldElement(16016384501418916541), field.NewFieldElement(3181272893128323084)},
	{field.NewFieldElement(2517080075900745791), field.NewFieldElement(18241855168616334247)},
	{field.NewFieldElement(17868385271737172979), field.NewFieldElement(3149251797904840387)},
	{field.NewFieldElement(16240211689398081741), field.NewFieldElement(12595579002758809850)},
	{field.NewFieldElement(15129425055871583477), field.NewFieldElement(16556688233744925655)},
	{field.NewFieldElement(12118068802024437752), field.NewFieldElement(1415394251822514067)},
	{field.NewFieldElement(9998982344935417389), field.NewFieldElement(1388414311221312252)},
}

// ReducingGate { num_coeffs: 44 }
var reducingGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(2762695979854660261), field.NewFieldElement(6188975775006680731)},
	{field.NewFieldElement(1791331417935738626), field.NewFieldElement(17085037714198081810)},
	{field.NewFieldElement(2937679508710033736), field.NewFieldElement(5129621779087684534)},
	{field.NewFieldElement(481168721643876637), field.NewFieldElement(7141872137498120988)},
	{field.NewFieldElement(17254181100047942156), field.NewFieldElement(17775174281554210440)},
	{field.NewFieldElement(5198890470471443302), field.NewFieldElement(14888425516661975457)},
	{field.NewFieldElement(13028786198899252632), field.NewFieldElement(10937447292538980197)},
	{field.NewFieldElement(2265158031754703100), field.NewFieldElement(12577502307628934155)},
	{field.NewFieldElement(15551968276096003032), field.NewFieldElement(15292448269321193280)},
	{field.NewFieldElement(17365969756658867370), field.NewFieldElement(17369305944822545977)},
	{field.NewFieldElement(7080686817257839256), field.NewFieldElement(593963095520237279)},
	{field.NewFieldElement(9676311908112124362), field.NewFieldElement(15674622921902422959)},
	{field.NewFieldElement(11251136116732324348), field.NewFieldElement(18440217803596221468)},
	{field.NewFieldElement(3735056268905622852), field.NewFieldElement(13863980656029437128)},
	{field.NewFieldElement(8027041826265159623), field.NewFieldElement(11754189465873578671)},
	{field.NewFieldElement(17583392801264300641), field.NewFieldElement(6466906893845676112)},
	{field.NewFieldElement(10453982665201242303), field.NewFieldElement(10957427537661178463)},
	{field.NewFieldElement(8008073576872573103), field.NewFieldElement(15936946455243860971)},
	{field.NewFieldElement(10779255795330506743), field.NewFieldElement(1425676337306283564)},
	{field.NewFieldElement(13500038741878953694), field.NewFieldElement(5693690628820948906)},
	{field.NewFieldElement(6987584139748553407), field.NewFieldElement(4433192799815624764)},
	{field.NewFieldElement(3618013197373611562), field.NewFieldElement(15641412670596115335)},
	{field.NewFieldElement(4523765518023087797), field.NewFieldElement(5497960888090896635)},
	{field.NewFieldElement(8750545727419259671), field.NewFieldElement(17422860419602722677)},
	{field.NewFieldElement(17564615024878416866), field.NewFieldElement(16238022624102079273)},
	{field.NewFieldElement(3740814195084876131), field.NewFieldElement(17474834584441312839)},
	{field.NewFieldElement(2239459464265888484), field.NewFieldElement(8706775397593275819)},
	{field.NewFieldElement(6491352471800031726), field.NewFieldElement(209451190673168977)},
	{field.NewFieldElement(5778494879465125706), field.NewFieldElement(7142303398286289731)},
	{field.NewFieldElement(7094902435091460736), field.NewFieldElement(17694563561889239395)},
	{field.NewFieldElement(2647942785603144770), field.NewFieldElement(12183038555524816414)},
	{field.NewFieldElement(15100729453671585276), field.NewFieldElement(8119652948094623285)},
	{field.NewFieldElement(3441209666651626111), field.NewFieldElement(10072736477013237067)},
	{field.NewFieldElement(2372663484566761092), field.NewFieldElement(594324049190490986)},
	{field.NewFieldElement(4026947675295370811), field.NewFieldElement(1179770390904329138)},
	{field.NewFieldElement(1595271198725095132), field.NewFieldElement(15771888513051752701)},
	{field.NewFieldElement(15924194187528252748), field.NewFieldElement(6763066202850242722)},
	{field.NewFieldElement(1445670890851930788), field.NewFieldElement(3792635664222385076)},
	{field.NewFieldElement(12273956505460180574), field.NewFieldElement(2686688969956106705)},
	{field.NewFieldElement(11658870742027189182), field.NewFieldElement(12329880551401953731)},
	{field.NewFieldElement(3044295792231373345), field.NewFieldElement(17852841657875251990)},
	{field.NewFieldElement(89567881331820860), field.NewFieldElement(15259944608836914642)},
	{field.NewFieldElement(358286967559220432), field.NewFieldElement(4492752479771433484)},
	{field.NewFieldElement(14577916428537408584), field.NewFieldElement(13741732911292090813)},
	{field.NewFieldElement(16727747831341625951), field.NewFieldElement(17003066965000183599)},
	{field.NewFieldElement(9070359631236984957), field.NewFieldElement(6062623613509003067)},
	{field.NewFieldElement(2410743624398118478), field.NewFieldElement(13772226839431038397)},
	{field.NewFieldElement(11807638155649559084), field.NewFieldElement(1137111487688533470)},
	{field.NewFieldElement(64491941894197002), field.NewFieldElement(5868353091743239378)},
	{field.NewFieldElement(11301275742904392411), field.NewFieldElement(16283949803466884532)},
	{field.NewFieldElement(9890416519568149104), field.NewFieldElement(8227793073753762383)},
	{field.NewFieldElement(14951282035757983160), field.NewFieldElement(9077678991191664958)},
	{field.NewFieldElement(5033664288544688549), field.NewFieldElement(9192774674510226248)},
	{field.NewFieldElement(11933408140918977315), field.NewFieldElement(7749057899233101160)},
	{field.NewFieldElement(9164812869909307746), field.NewFieldElement(1719896377847214041)},
	{field.NewFieldElement(15224563238586628983), field.NewFieldElement(2588693305957079413)},
	{field.NewFieldElement(1889812039818739618), field.NewFieldElement(4817606363423939521)},
	{field.NewFieldElement(15609561908880497864), field.NewFieldElement(11885907317258609874)},
	{field.NewFieldElement(6792442952488353934), field.NewFieldElement(15088298397252768139)},
	{field.NewFieldElement(2651197118788035780), field.NewFieldElement(5089685590535462009)},
	{field.NewFieldElement(11982358277830572398), field.NewFieldElement(15471174962798992515)},
	{field.NewFieldElement(7639615465545578427), field.NewFieldElement(12644783892223098985)},
	{field.NewFieldElement(11009184909998310074), field.NewFieldElement(17958525789123172556)},
	{field.NewFieldElement(7777052961871412232), field.NewFieldElement(9786263008632335028)},
	{field.NewFieldElement(13336166292448975341), field.NewFieldElement(15263885337654327510)},
	{field.NewFieldElement(12764160635364533900), field.NewFieldElement(15411617803867471736)},
	{field.NewFieldElement(17491426030593864841), field.NewFieldElement(2688540155718191896)},
	{field.NewFieldElement(4278381039362706308), field.NewFieldElement(17571997178209012848)},
	{field.NewFieldElement(12726900947926109267), field.NewFieldElement(1433345131505837369)},
	{field.NewFieldElement(6334884250665613762), field.NewFieldElement(9617978266076057841)},
	{field.NewFieldElement(17511031815464775451), field.NewFieldElement(12281753446186189470)},
	{field.NewFieldElement(10718030381939087273), field.NewFieldElement(10785278464322784199)},
	{field.NewFieldElement(6964802145991989973), field.NewFieldElement(5630451507536431311)},
	{field.NewFieldElement(1610931441749714598), field.NewFieldElement(17306081287063918214)},
	{field.NewFieldElement(12529885758752979710), field.NewFieldElement(12015226868538417544)},
	{field.NewFieldElement(8212526954290021947), field.NewFieldElement(2604665677904480075)},
	{field.NewFieldElement(836429499775217902), field.NewFieldElement(14951071826451735988)},
	{field.NewFieldElement(4322887569225425418), field.NewFieldElement(1803870148496860526)},
	{field.NewFieldElement(11933437515394389470), field.NewFieldElement(5432495301370703205)},
	{field.NewFieldElement(15379632811901291758), field.NewFieldElement(16475440758252311235)},
	{field.NewFieldElement(8378463548508566883), field.NewFieldElement(12576809460019959325)},
	{field.NewFieldElement(6878478934798340017), field.NewFieldElement(16203041885409513004)},
	{field.NewFieldElement(4704361120432029530), field.NewFieldElement(15619278597929334259)},
	{field.NewFieldElement(11896486732715322997), field.NewFieldElement(13476483500406677625)},
	{field.NewFieldElement(3818194554960853168), field.NewFieldElement(17483945143600046041)},
	{field.NewFieldElement(16655838413972803560), field.NewFieldElement(7859620736875007555)},
	{field.NewFieldElement(9466644546267012606), field.NewFieldElement(15636572488448679353)},
	{field.NewFieldElement(7705051962598852604), field.NewFieldElement(17843247208046088041)},
}

// ArithmeticExtensionGate { num_ops: 10 }
var arithmeticExtensionGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(18152046378789398239), field.NewFieldElement(835198655627980634)},
	{field.NewFieldElement(14941458349516937745), field.NewFieldElement(195899842055585620)},
	{field.NewFieldElement(11444294347859626222), field.NewFieldElement(7618743177769594838)},
	{field.NewFieldElement(6847392923782354441), field.NewFieldElement(3129968840755754688)},
	{field.NewFieldElement(11707145384221145922), field.NewFieldElement(286105987739288036)},
	{field.NewFieldElement(2582465953258947981), field.NewFieldElement(9032385332294381140)},
	{field.NewFieldElement(13238521192691745149), field.NewFieldElement(9704746731861618809)},
	{field.NewFieldElement(1830772271680123935), field.NewFieldElement(2037318884130759975)},
	{field.NewFieldElement(5532751095564029866), field.NewFieldElement(11560707807043359130)},
	{field.NewFieldElement(4749576916935014495), field.NewFieldElement(2144864975020203842)},
	{field.NewFieldElement(18162899505828592791), field.NewFieldElement(13853020020051211390)},
	{field.NewFieldElement(16196741394015376387), field.NewFieldElement(16087121152637055080)},
	{field.NewFieldElement(15478783842112089677), field.NewFieldElement(8151788319455760610)},
	{field.NewFieldElement(4962260057365923941), field.NewFieldElement(12155107209004037964)},
	{field.NewFieldElement(18192514584072489162), field.NewFieldElement(2336293494478946065)},
	{field.NewFieldElement(3747540982963754880), field.NewFieldElement(5650114101530259911)},
	{field.NewFieldElement(17757207146926514655), field.NewFieldElement(13461601821205159205)},
	{field.NewFieldElement(17921720474545785568), field.NewFieldElement(4718996085070502683)},
	{field.NewFieldElement(4443998758263224376), field.NewFieldElement(13890461367328975727)},
	{field.NewFieldElement(13990958094457190244), field.NewFieldElement(3783673559976842909)},
}

// MulExtensionGate { num_ops: 13 }
var mulExtensionGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(7181113876231745794), field.NewFieldElement(7868884260109104825)},
	{field.NewFieldElement(14067639069854412134), field.NewFieldElement(2094238260641413106)},
	{field.NewFieldElement(3160167686452082144), field.NewFieldElement(15508587061137009544)},
	{field.NewFieldElement(2701966180261760724), field.NewFieldElement(49742798193009777)},
	{field.NewFieldElement(16965594259972472645), field.NewFieldElement(15119035756932709035)},
	{field.NewFieldElement(8587305003975146248), field.NewFieldElement(11788991692426475292)},
	{field.NewFieldElement(13134841191650990099), field.NewFieldElement(12468857767882216027)},
	{field.NewFieldElement(5079312787147663415), field.NewFieldElement(315076378722635206)},
	{field.NewFieldElement(4656603487897834248), field.NewFieldElement(4455086801173740459)},
	{field.NewFieldElement(3630077482584148572), field.NewFieldElement(3283664780554963370)},
	{field.NewFieldElement(1781217475359761081), field.NewFieldElement(17627776820166298232)},
	{field.NewFieldElement(5917159494270473360), field.NewFieldElement(6025450051539258087)},
	{field.NewFieldElement(6450855110748081528), field.NewFieldElement(7446684637376438458)},
	{field.NewFieldElement(8607810652222212781), field.NewFieldElement(7298919685405344815)},
	{field.NewFieldElement(13906434081686233303), field.NewFieldElement(13101189135710264580)},
	{field.NewFieldElement(6489826249831576523), field.NewFieldElement(11224737887667008267)},
	{field.NewFieldElement(3580221348553931303), field.NewFieldElement(4662435202527050543)},
	{field.NewFieldElement(7286527320055156837), field.NewFieldElement(15670292738296412147)},
	{field.NewFieldElement(2095892346123668330), field.NewFieldElement(5572639395382198548)},
	{field.NewFieldElement(11836511250144945185), field.NewFieldElement(6212767141717037414)},
	{field.NewFieldElement(12781535798978127236), field.NewFieldElement(14467390350363203888)},
	{field.NewFieldElement(2635017860820288214), field.NewFieldElement(6092079726747224779)},
	{field.NewFieldElement(18057143820634196774), field.NewFieldElement(16137749920970128474)},
	{field.NewFieldElement(16754543715625171524), field.NewFieldElement(15674433195919785024)},
	{field.NewFieldElement(2135423350522303111), field.NewFieldElement(32407260862438164)},
	{field.NewFieldElement(14956506296276270245), field.NewFieldElement(1145919757338314609)},
}

// ExponentiationGate { num_power_bits: 67, _phantom: PhantomData<plonky2_field::goldilocks_field::GoldilocksField> }<D=2>
var exponentiationGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(11917134172330913896), field.NewFieldElement(17387498340632768165)},
	{field.NewFieldElement(1312379412936626785), field.NewFieldElement(8487972230502205858)},
	{field.NewFieldElement(1034346392193469803), field.NewFieldElement(10387255969849204765)},
	{field.NewFieldElement(8975374558919785259), field.NewFieldElement(8379061308496297909)},
	{field.NewFieldElement(5137354887085653470), field.NewFieldElement(18342299770587131344)},
	{field.NewFieldElement(11284168756796657450), field.NewFieldElement(13822895496426653701)},
	{field.NewFieldElement(235168160386175185), field.NewFieldElement(17356178727442490793)},
	{field.NewFieldElement(11012326969983488833), field.NewFieldElement(13315935561725076264)},
	{field.NewFieldElement(11064160789252923988), field.NewFieldElement(243775009899162201)},
	{field.NewFieldElement(17368303548433332975), field.NewFieldElement(15625080509274199608)},
	{field.NewFieldElement(5849122830228985352), field.NewFieldElement(5103229940930953650)},
	{field.NewFieldElement(14713362802405597126), field.NewFieldElement(8157398625845036781)},
	{field.NewFieldElement(16495373179302807753), field.NewFieldElement(4597863041430416411)},
	{field.NewFieldElement(3274329863393011112), field.NewFieldElement(8955190641874111502)},
	{field.NewFieldElement(4704531612240997322), field.NewFieldElement(2253948388369651634)},
	{field.NewFieldElement(13333514818352143222), field.NewFieldElement(4999457874559250243)},
	{field.NewFieldElement(2284463506187861590), field.NewFieldElement(13765412523042072026)},
	{field.NewFieldElement(16636340184626646426), field.NewFieldElement(3174763529046637372)},
	{field.NewFieldElement(5336400619848923540), field.NewFieldElement(10513883740898299385)},
	{field.NewFieldElement(14200134528033869480), field.NewFieldElement(11039588311485209657)},
	{field.NewFieldElement(18377155443679293884), field.NewFieldElement(13521764320839726823)},
	{field.NewFieldElement(242773453939591946), field.NewFieldElement(6326451192242543829)},
	{field.NewFieldElement(1296949085249594883), field.NewFieldElement(7990211688523987915)},
	{field.NewFieldElement(5510982641888481009), field.NewFieldElement(10552089306004766754)},
	{field.NewFieldElement(10914255593671877946), field.NewFieldElement(18175495064507840841)},
	{field.NewFieldElement(7575617967752753230), field.NewFieldElement(9665518441862148402)},
	{field.NewFieldElement(14351249981525100362), field.NewFieldElement(5763278800672952095)},
	{field.NewFieldElement(16319397571073742470), field.NewFieldElement(1318308384414985616)},
	{field.NewFieldElement(12030088917335470405), field.NewFieldElement(6668172884819717021)},
	{field.NewFieldElement(17509060699703766693), field.NewFieldElement(1489607021074587548)},
	{field.NewFieldElement(1096695845774334385), field.NewFieldElement(6122861634465429123)},
	{field.NewFieldElement(13460252757128783693), field.NewFieldElement(17777045084091738197)},
	{field.NewFieldElement(14557885155010631641), field.NewFieldElement(4298885986874834349)},
	{field.NewFieldElement(3635088766034344822), field.NewFieldElement(8827496887313967507)},
	{field.NewFieldElement(6550916348715580989), field.NewFieldElement(4180030543088252998)},
	{field.NewFieldElement(16051569484464055768), field.NewFieldElement(2121040925634405127)},
	{field.NewFieldElement(1788913367411914907), field.NewFieldElement(10745316805250218547)},
	{field.NewFieldElement(4832917661842853637), field.NewFieldElement(1148465658973892394)},
	{field.NewFieldElement(9162757057100424164), field.NewFieldElement(7814738929773741429)},
	{field.NewFieldElement(13840071942242698046), field.NewFieldElement(12500211120922811757)},
	{field.NewFieldElement(10699948139249128560), field.NewFieldElement(4891144553679573560)},
	{field.NewFieldElement(14602444997841482522), field.NewFieldElement(17017251371157941125)},
	{field.NewFieldElement(586839629673374241), field.NewFieldElement(3363863469002405744)},
	{field.NewFieldElement(9011045001648305113), field.NewFieldElement(7085187243048562102)},
	{field.NewFieldElement(13032999395920684322), field.NewFieldElement(6189400872664562846)},
	{field.NewFieldElement(8971070287177655421), field.NewFieldElement(12582676780734324056)},
	{field.NewFieldElement(558400378011382278), field.NewFieldElement(6298195151594790629)},
	{field.NewFieldElement(17192073729541567806), field.NewFieldElement(5497805500866221538)},
	{field.NewFieldElement(5728605922884243514), field.NewFieldElement(18070340533610014206)},
	{field.NewFieldElement(15473455953886985277), field.NewFieldElement(11635823818659992567)},
	{field.NewFieldElement(7477545430207969908), field.NewFieldElement(2742755471302540300)},
	{field.NewFieldElement(12407179232895419141), field.NewFieldElement(17302315821428133291)},
	{field.NewFieldElement(12858531909631903407), field.NewFieldElement(14746185565916474858)},
	{field.NewFieldElement(12872867896453911017), field.NewFieldElement(6563250576201773751)},
	{field.NewFieldElement(3384183107205264844), field.NewFieldElement(11512795156033923138)},
	{field.NewFieldElement(8430135350637925522), field.NewFieldElement(10199901650713033996)},
	{field.NewFieldElement(11167364659650598214), field.NewFieldElement(447394121422751322)},
	{field.NewFieldElement(4931438368828291722), field.NewFieldElement(16717867949669373753)},
	{field.NewFieldElement(5151270559741115914), field.NewFieldElement(45949586886299827)},
	{field.NewFieldElement(11159644559144981603), field.NewFieldElement(2120703503452727949)},
	{field.NewFieldElement(8830601119784247875), field.NewFieldElement(8542262650554393830)},
	{field.NewFieldElement(6142186624494698182), field.NewFieldElement(7120939306807396235)},
	{field.NewFieldElement(11716893898091265261), field.NewFieldElement(4311673012489504666)},
	{field.NewFieldElement(2133003157459487893), field.NewFieldElement(1909522153859214178)},
	{field.NewFieldElement(427412581044646901), field.NewFieldElement(15454912207372224939)},
	{field.NewFieldElement(1842301960762096227), field.NewFieldElement(12476329615991638721)},
	{field.NewFieldElement(696538585954127499), field.NewFieldElement(2702122491633241201)},
	{field.NewFieldElement(5755584054765687076), field.NewFieldElement(5430280214517080555)},
}

// CosetInterpolationGate { subgroup_bits: 4, degree: 6, barycentric_weights: [17293822565076172801, 18374686475376656385, 18446744069413535745, 281474976645120, 17592186044416, 18446744069414584577, 18446744000695107601, 18446744065119617025, 1152921504338411520, 72057594037927936, 18446744069415632897, 18446462594437939201, 18446726477228539905, 18446744069414584065, 68719476720, 4294967296], _phantom: PhantomData<plonky2_field::goldilocks_field::GoldilocksField> }<D=2>
var cosetInterpolationGateExpectedConstraints = []field.QuadraticExtension{
	{field.NewFieldElement(13782516617623808439), field.NewFieldElement(15116825128522139629)},
	{field.NewFieldElement(10605488313706531843), field.NewFieldElement(16124703860676816956)},
	{field.NewFieldElement(2725554495824998780), field.NewFieldElement(13477621298303015045)},
	{field.NewFieldElement(2936187345854242438), field.NewFieldElement(5827982872566017395)},
	{field.NewFieldElement(11223822863576777799), field.NewFieldElement(2143123911507599653)},
	{field.NewFieldElement(4839015650475288776), field.NewFieldElement(745790217755162273)},
	{field.NewFieldElement(2205634412980832213), field.NewFieldElement(15767892564871259137)},
	{field.NewFieldElement(9091626478775122653), field.NewFieldElement(9730482292097571809)},
	{field.NewFieldElement(10636787321971723634), field.NewFieldElement(14666593583448965088)},
	{field.NewFieldElement(7179924177530514890), field.NewFieldElement(10610536358289043895)},
	{field.NewFieldElement(15067680125330943902), field.NewFieldElement(17960901266185771082)},
	{field.NewFieldElement(5184847499291037169), field.NewFieldElement(16061742535733361053)},
}

type TestGateCircuit struct {
	testGate            gates.Gate
	expectedConstraints []field.QuadraticExtension
}

func (circuit *TestGateCircuit) Define(api frontend.API) error {
	commonCircuitData := utils.DeserializeCommonCircuitData("../../data/recursive_step/common_circuit_data.json")
	numSelectors := commonCircuitData.SelectorsInfo.NumSelectors()

	fieldAPI := field.NewFieldAPI(api)
	qeAPI := field.NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits)

	vars := gates.NewEvaluationVars(localConstants[numSelectors:], localWires, publicInputsHash)

	constraints := circuit.testGate.EvalUnfiltered(api, qeAPI, *vars)

	if len(constraints) != len(circuit.expectedConstraints) {
		return errors.New("gate constraints length mismatch")
	}
	for i := 0; i < len(constraints); i++ {
		qeAPI.AssertIsEqual(constraints[i], circuit.expectedConstraints[i])
	}

	return nil
}

func TestGates(t *testing.T) {
	assert := test.NewAssert(t)

	testCase := func(testGate gates.Gate, expectedConstraints []field.QuadraticExtension) {
		circuit := &TestGateCircuit{testGate: testGate, expectedConstraints: expectedConstraints}
		witness := &TestGateCircuit{testGate: testGate, expectedConstraints: expectedConstraints}
		err := test.IsSolved(circuit, witness, field.TEST_CURVE.ScalarField())
		assert.NoError(err)
	}

	type gateTest struct {
		testGate            gates.Gate
		expectedConstraints []field.QuadraticExtension
	}

	gateTests := []gateTest{
		{gates.NewPublicInputGate(), publicInputGateExpectedConstraints},
		{gates.NewArithmeticGate(20), arithmeticGateExpectedConstraints},
		{gates.NewBaseSumGate(63, 2), baseSumGateExpectedConstraints},
		{gates.NewRandomAccessGate(4, 4, 2), randomAccessGateExpectedConstraints},
		{gates.NewPoseidonGate(), poseidonGateExpectedConstraints},
		{gates.NewArithmeticExtensionGate(10), arithmeticExtensionGateExpectedConstraints},
		{gates.NewMultiplicationExtensionGate(13), mulExtensionGateExpectedConstraints},
		{gates.NewReducingExtensionGate(33), reducingExtensionGateExpectedConstraints},
		{gates.NewReducingGate(44), reducingGateExpectedConstraints},
		{gates.NewExponentiationGate(67), exponentiationGateExpectedConstraints},
		{gates.NewCosetInterpolationGate(
			4,
			6,
			[]goldilocks.Element{
				goldilocks.NewElement(17293822565076172801),
				goldilocks.NewElement(18374686475376656385),
				goldilocks.NewElement(18446744069413535745),
				goldilocks.NewElement(281474976645120),
				goldilocks.NewElement(17592186044416),
				goldilocks.NewElement(18446744069414584577),
				goldilocks.NewElement(18446744000695107601),
				goldilocks.NewElement(18446744065119617025),
				goldilocks.NewElement(1152921504338411520),
				goldilocks.NewElement(72057594037927936),
				goldilocks.NewElement(18446744069415632897),
				goldilocks.NewElement(18446462594437939201),
				goldilocks.NewElement(18446726477228539905),
				goldilocks.NewElement(18446744069414584065),
				goldilocks.NewElement(68719476720),
				goldilocks.NewElement(4294967296),
			},
		), cosetInterpolationGateExpectedConstraints},
	}

	for _, test := range gateTests {
		testCase(
			test.testGate,
			test.expectedConstraints,
		)
	}
}