forked from tornado-packages/archive-monorepo
291 lines
20 KiB
Plaintext
291 lines
20 KiB
Plaintext
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// implements MiMC-2n/n as hash using a sponge construction.
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// log_5(21888242871839275222246405745257275088548364400416034343698204186575808495617) ~= 110
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// => nRounds should be 220
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template MiMCSponge(nInputs, nOutputs) {
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signal input ins[nInputs];
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signal input k;
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signal output outs[nOutputs];
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var nRounds = 220;
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// S = R||C
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component S[nInputs + nOutputs - 1];
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for (var i = 0; i < nInputs; i++) {
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S[i] = MiMCFeistel(nRounds);
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S[i].k <== k;
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if (i == 0) {
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S[i].xL_in <== ins[0];
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S[i].xR_in <== 0;
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} else {
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S[i].xL_in <== S[i-1].xL_out + ins[i];
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S[i].xR_in <== S[i-1].xR_out;
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}
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}
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outs[0] <== S[nInputs - 1].xL_out;
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for (var i = 0; i < nOutputs - 1; i++) {
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S[nInputs + i] = MiMCFeistel(nRounds);
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S[nInputs + i].k <== k;
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S[nInputs + i].xL_in <== S[nInputs + i - 1].xL_out;
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S[nInputs + i].xR_in <== S[nInputs + i - 1].xR_out;
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outs[i + 1] <== S[nInputs + i].xL_out;
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}
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}
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template MiMCFeistel(nrounds) {
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signal input xL_in;
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signal input xR_in;
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signal input k;
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signal output xL_out;
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signal output xR_out;
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// doesn't contain the first and last round constants, which are always zero
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var c_partial = [
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7120861356467848435263064379192047478074060781135320967663101236819528304084,
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5024705281721889198577876690145313457398658950011302225525409148828000436681,
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17980351014018068290387269214713820287804403312720763401943303895585469787384,
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19886576439381707240399940949310933992335779767309383709787331470398675714258,
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1213715278223786725806155661738676903520350859678319590331207960381534602599,
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18162138253399958831050545255414688239130588254891200470934232514682584734511,
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7667462281466170157858259197976388676420847047604921256361474169980037581876,
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7207551498477838452286210989212982851118089401128156132319807392460388436957,
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10005334761930299057035055370088813230849810566234116771751925093634136574742,
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19001050671757720352890779127693793630251266879994702723636759889378387053056,
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||
|
16101132301514338989512946061786320637179843435886825102406248183507106312877,
|
||
|
6252650284989960032925831409804233477770646333900692286731621844532438095656,
|
||
|
9277135875276787021836189566799935097400042171346561246305113339462708861695,
|
||
|
10493603554686607050979497281838644324893776154179810893893660722522945589063,
|
||
|
8673089750662709235894359384294076697329948991010184356091130382437645649279,
|
||
|
9558393272910366944245875920138649617479779893610128634419086981339060613250,
|
||
|
19012287860122586147374214541764572282814469237161122489573881644994964647218,
|
||
|
9783723818270121678386992630754842961728702994964214799008457449989291229500,
|
||
|
15550788416669474113213749561488122552422887538676036667630838378023479382689,
|
||
|
15016165746156232864069722572047169071786333815661109750860165034341572904221,
|
||
|
6506225705710197163670556961299945987488979904603689017479840649664564978574,
|
||
|
10796631184889302076168355684722130903785890709107732067446714470783437829037,
|
||
|
19871836214837460419845806980869387567383718044439891735114283113359312279540,
|
||
|
20871081766843466343749609089986071784031203517506781251203251608363835140622,
|
||
|
5100105771517691442278432864090229416166996183792075307747582375962855820797,
|
||
|
8777887112076272395250620301071581171386440850451972412060638225741125310886,
|
||
|
5300440870136391278944213332144327695659161151625757537632832724102670898756,
|
||
|
1205448543652932944633962232545707633928124666868453915721030884663332604536,
|
||
|
5542499997310181530432302492142574333860449305424174466698068685590909336771,
|
||
|
11028094245762332275225364962905938096659249161369092798505554939952525894293,
|
||
|
19187314764836593118404597958543112407224947638377479622725713735224279297009,
|
||
|
17047263688548829001253658727764731047114098556534482052135734487985276987385,
|
||
|
19914849528178967155534624144358541535306360577227460456855821557421213606310,
|
||
|
2929658084700714257515872921366736697080475676508114973627124569375444665664,
|
||
|
15092262360719700162343163278648422751610766427236295023221516498310468956361,
|
||
|
21578580340755653236050830649990190843552802306886938815497471545814130084980,
|
||
|
1258781501221760320019859066036073675029057285507345332959539295621677296991,
|
||
|
3819598418157732134449049289585680301176983019643974929528867686268702720163,
|
||
|
8653175945487997845203439345797943132543211416447757110963967501177317426221,
|
||
|
6614652990340435611114076169697104582524566019034036680161902142028967568142,
|
||
|
19212515502973904821995111796203064175854996071497099383090983975618035391558,
|
||
|
18664315914479294273286016871365663486061896605232511201418576829062292269769,
|
||
|
11498264615058604317482574216318586415670903094838791165247179252175768794889,
|
||
|
10814026414212439999107945133852431304483604215416531759535467355316227331774,
|
||
|
17566185590731088197064706533119299946752127014428399631467913813769853431107,
|
||
|
14016139747289624978792446847000951708158212463304817001882956166752906714332,
|
||
|
8242601581342441750402731523736202888792436665415852106196418942315563860366,
|
||
|
9244680976345080074252591214216060854998619670381671198295645618515047080988,
|
||
|
12216779172735125538689875667307129262237123728082657485828359100719208190116,
|
||
|
10702811721859145441471328511968332847175733707711670171718794132331147396634,
|
||
|
6479667912792222539919362076122453947926362746906450079329453150607427372979,
|
||
|
15117544653571553820496948522381772148324367479772362833334593000535648316185,
|
||
|
6842203153996907264167856337497139692895299874139131328642472698663046726780,
|
||
|
12732823292801537626009139514048596316076834307941224506504666470961250728055,
|
||
|
6936272626871035740815028148058841877090860312517423346335878088297448888663,
|
||
|
17297554111853491139852678417579991271009602631577069694853813331124433680030,
|
||
|
16641596134749940573104316021365063031319260205559553673368334842484345864859,
|
||
|
7400481189785154329569470986896455371037813715804007747228648863919991399081,
|
||
|
2273205422216987330510475127669563545720586464429614439716564154166712854048,
|
||
|
15162538063742142685306302282127534305212832649282186184583465569986719234456,
|
||
|
5628039096440332922248578319648483863204530861778160259559031331287721255522,
|
||
|
16085392195894691829567913404182676871326863890140775376809129785155092531260,
|
||
|
14227467863135365427954093998621993651369686288941275436795622973781503444257,
|
||
|
18224457394066545825553407391290108485121649197258948320896164404518684305122,
|
||
|
274945154732293792784580363548970818611304339008964723447672490026510689427,
|
||
|
11050822248291117548220126630860474473945266276626263036056336623671308219529,
|
||
|
2119542016932434047340813757208803962484943912710204325088879681995922344971
|
||
|
];
|
||
|
|
||
|
var t;
|
||
|
signal t2[nrounds];
|
||
|
signal t4[nrounds];
|
||
|
signal xL[nrounds-1];
|
||
|
signal xR[nrounds-1];
|
||
|
|
||
|
var c;
|
||
|
for (var i=0; i<nrounds; i++) {
|
||
|
if ((i == 0) || (i == nrounds - 1)) {
|
||
|
c = 0;
|
||
|
} else {
|
||
|
c = c_partial[i - 1];
|
||
|
}
|
||
|
t = (i==0) ? k+xL_in : k + xL[i-1] + c;
|
||
|
t2[i] <== t*t;
|
||
|
t4[i] <== t2[i]*t2[i];
|
||
|
if (i<nrounds-1) {
|
||
|
xL[i] <== ((i==0) ? xR_in : xR[i-1]) + t4[i]*t;
|
||
|
xR[i] <== (i==0) ? xL_in : xL[i-1];
|
||
|
} else {
|
||
|
xR_out <== xR[i-1] + t4[i]*t;
|
||
|
xL_out <== xL[i-1];
|
||
|
}
|
||
|
}
|
||
|
}
|