From a516925ad838227ea25e38ce6ee0f72cccbfa1c8 Mon Sep 17 00:00:00 2001 From: Kevin Jue Date: Tue, 6 Jun 2023 17:36:51 -0700 Subject: [PATCH] Poseidon BN128 (#20) * initial commit of poseidon bn128 * got challenger working * deserialize is working * cleaned up deserialization function a bit * fixed challenger * add in the hack to the challenges * fixed some bugs in poseidon_bn128 * fri verification is working * some changes for benchmarking * added decode_block plonky2 data * initial commit for poseidon_mds_gate * updated gate test cases * working poseidon mds gate * full verifier test case working --- poseidon/hash.go | 53 - poseidon/poseidon.go | 11 +- poseidon/poseidon_bn128.go | 197 + poseidon/poseidon_bn128_constants.go | 537 + poseidon/poseidon_bn128_test.go | 98 + .../{constants.go => poseidon_constants.go} | 0 verifier/common/config.go | 2 +- verifier/common/types.go | 8 +- verifier/data/.DS_Store | Bin 0 -> 6148 bytes .../common_circuit_data.json | 16 +- .../proof_with_public_inputs.json | 15082 +++++ .../verifier_only_circuit_data.json | 21 + .../dummy_2^14_gates/common_circuit_data.json | 150 - .../proof_with_public_inputs.json | 31140 ----------- .../verifier_only_circuit_data.json | 140 - .../data/dummy_small/common_circuit_data.json | 1 - .../dummy_small/proof_with_public_inputs.json | 1 - .../verifier_only_circuit_data.json | 1 - .../data/fibonacci/common_circuit_data.json | 152 - .../fibonacci/proof_with_public_inputs.json | 11509 ---- .../fibonacci/verifier_only_circuit_data.json | 140 - .../data/recursive/common_circuit_data.json | 173 - .../recursive/proof_with_public_inputs.json | 26194 --------- .../recursive/verifier_only_circuit_data.json | 140 - .../recursive_small/common_circuit_data.json | 172 - .../proof_with_public_inputs.json | 3024 - .../verifier_only_circuit_data.json | 140 - .../proof_with_public_inputs.json | 27634 ---------- .../verifier_only_circuit_data.json | 140 - .../common_circuit_data.json | 174 - .../proof_with_public_inputs.json | 2373 - .../verifier_only_circuit_data.json | 140 - verifier/data/step/common_circuit_data.json | 205 - .../data/step/proof_with_public_inputs.json | 45430 ---------------- .../data/step/verifier_only_circuit_data.json | 140 - verifier/internal/fri/fri.go | 91 +- verifier/internal/fri/fri_test.go | 243 +- verifier/internal/gates/gate.go | 1 + verifier/internal/gates/gate_test.go | 1288 +- verifier/internal/gates/poseidon_mds_gate.go | 86 + verifier/internal/gates/vars.go | 4 +- verifier/internal/plonk/challenger.go | 48 +- verifier/internal/plonk/challenger_test.go | 235 +- verifier/internal/plonk/plonk.go | 2 +- verifier/internal/plonk/plonk_test.go | 25 +- verifier/utils/deserialize.go | 121 +- verifier/utils/deserialize_test.go | 6 +- verifier/verifier.go | 42 +- verifier/verifier_test.go | 284 +- 49 files changed, 16965 insertions(+), 150849 deletions(-) delete mode 100644 poseidon/hash.go create mode 100644 poseidon/poseidon_bn128.go create mode 100644 poseidon/poseidon_bn128_constants.go create mode 100644 poseidon/poseidon_bn128_test.go rename poseidon/{constants.go => poseidon_constants.go} (100%) create mode 100644 verifier/data/.DS_Store rename verifier/data/{recursive_step => decode_block}/common_circuit_data.json (93%) create mode 100644 verifier/data/decode_block/proof_with_public_inputs.json create mode 100644 verifier/data/decode_block/verifier_only_circuit_data.json delete mode 100644 verifier/data/dummy_2^14_gates/common_circuit_data.json delete mode 100644 verifier/data/dummy_2^14_gates/proof_with_public_inputs.json delete mode 100644 verifier/data/dummy_2^14_gates/verifier_only_circuit_data.json delete mode 100644 verifier/data/dummy_small/common_circuit_data.json delete mode 100644 verifier/data/dummy_small/proof_with_public_inputs.json delete mode 100644 verifier/data/dummy_small/verifier_only_circuit_data.json delete mode 100644 verifier/data/fibonacci/common_circuit_data.json delete mode 100644 verifier/data/fibonacci/proof_with_public_inputs.json delete mode 100644 verifier/data/fibonacci/verifier_only_circuit_data.json delete mode 100644 verifier/data/recursive/common_circuit_data.json delete mode 100644 verifier/data/recursive/proof_with_public_inputs.json delete mode 100644 verifier/data/recursive/verifier_only_circuit_data.json delete mode 100644 verifier/data/recursive_small/common_circuit_data.json delete mode 100644 verifier/data/recursive_small/proof_with_public_inputs.json delete mode 100644 verifier/data/recursive_small/verifier_only_circuit_data.json delete mode 100644 verifier/data/recursive_step/proof_with_public_inputs.json delete mode 100644 verifier/data/recursive_step/verifier_only_circuit_data.json delete mode 100644 verifier/data/recursive_very_small/common_circuit_data.json delete mode 100644 verifier/data/recursive_very_small/proof_with_public_inputs.json delete mode 100644 verifier/data/recursive_very_small/verifier_only_circuit_data.json delete mode 100644 verifier/data/step/common_circuit_data.json delete mode 100644 verifier/data/step/proof_with_public_inputs.json delete mode 100644 verifier/data/step/verifier_only_circuit_data.json create mode 100644 verifier/internal/gates/poseidon_mds_gate.go diff --git a/poseidon/hash.go b/poseidon/hash.go deleted file mode 100644 index 34514ce..0000000 --- a/poseidon/hash.go +++ /dev/null @@ -1,53 +0,0 @@ -package poseidon - -import ( - "github.com/consensys/gnark/frontend" - "github.com/succinctlabs/gnark-plonky2-verifier/field" -) - -type Hash = [4]field.F - -type HashAPI struct { - fieldAPI field.FieldAPI -} - -func NewHashAPI( - fieldAPI field.FieldAPI, -) *HashAPI { - return &HashAPI{ - fieldAPI: fieldAPI, - } -} - -func (h *HashAPI) SelectHash(bit frontend.Variable, leftHash, rightHash Hash) Hash { - var returnHash Hash - for i := 0; i < 4; i++ { - returnHash[i] = h.fieldAPI.Select(bit, leftHash[i], rightHash[i]) - } - - return returnHash -} - -func (h *HashAPI) Lookup2Hash(b0 frontend.Variable, b1 frontend.Variable, h0, h1, h2, h3 Hash) Hash { - var returnHash Hash - - for i := 0; i < 4; i++ { - returnHash[i] = h.fieldAPI.Lookup2(b0, b1, h0[i], h1[i], h2[i], h3[i]) - } - - return returnHash -} - -func (h *HashAPI) AssertIsEqualHash(h1, h2 Hash) { - for i := 0; i < 4; i++ { - h.fieldAPI.AssertIsEqual(h1[0], h2[0]) - } -} - -func Uint64ArrayToHashArray(input [][]uint64) []Hash { - var output []Hash - for i := 0; i < len(input); i++ { - output = append(output, [4]field.F{field.NewFieldConst(input[i][0]), field.NewFieldConst(input[i][1]), field.NewFieldConst(input[i][2]), field.NewFieldConst(input[i][3])}) - } - return output -} diff --git a/poseidon/poseidon.go b/poseidon/poseidon.go index d7e47c8..283b2bf 100644 --- a/poseidon/poseidon.go +++ b/poseidon/poseidon.go @@ -6,15 +6,14 @@ import ( ) const HALF_N_FULL_ROUNDS = 4 -const N_FULL_ROUNDS_TOTAL = 2 * HALF_N_FULL_ROUNDS const N_PARTIAL_ROUNDS = 22 -const N_ROUNDS = N_FULL_ROUNDS_TOTAL + N_PARTIAL_ROUNDS const MAX_WIDTH = 12 const SPONGE_WIDTH = 12 const SPONGE_RATE = 8 type PoseidonState = [SPONGE_WIDTH]field.F type PoseidonStateExtension = [SPONGE_WIDTH]field.QuadraticExtension +type PoseidonHashOut = [4]field.F type PoseidonChip struct { api frontend.API `gnark:"-"` @@ -64,12 +63,16 @@ func (c *PoseidonChip) HashNToMNoPad(input []field.F, nbOutputs int) []field.F { } } -func (c *PoseidonChip) HashNoPad(input []field.F) Hash { - var hash Hash +func (c *PoseidonChip) HashNoPad(input []field.F) PoseidonHashOut { + var hash PoseidonHashOut copy(hash[:], c.HashNToMNoPad(input, 4)) return hash } +func (c *PoseidonChip) ToVec(hash PoseidonHashOut) []field.F { + return hash[:] +} + func (c *PoseidonChip) FullRounds(state PoseidonState, roundCounter *int) PoseidonState { for i := 0; i < HALF_N_FULL_ROUNDS; i++ { state = c.ConstantLayer(state, roundCounter) diff --git a/poseidon/poseidon_bn128.go b/poseidon/poseidon_bn128.go new file mode 100644 index 0000000..a386caa --- /dev/null +++ b/poseidon/poseidon_bn128.go @@ -0,0 +1,197 @@ +package poseidon + +import ( + "math/big" + + "github.com/consensys/gnark/frontend" + "github.com/succinctlabs/gnark-plonky2-verifier/field" +) + +const fullRounds = 8 +const partialRounds = 56 +const spongeWidth = 4 +const spongeRate = 3 + +type PoseidonBN128Chip struct { + api frontend.API `gnark:"-"` + fieldAPI field.FieldAPI `gnark:"-"` +} + +type PoseidonBN128State = [spongeWidth]frontend.Variable +type PoseidonBN128HashOut = frontend.Variable + +func NewPoseidonBN128Chip(api frontend.API, fieldAPI field.FieldAPI) *PoseidonBN128Chip { + return &PoseidonBN128Chip{api: api, fieldAPI: fieldAPI} +} + +func (c *PoseidonBN128Chip) Poseidon(state PoseidonBN128State) PoseidonBN128State { + state = c.ark(state, 0) + state = c.fullRounds(state, true) + state = c.partialRounds(state) + state = c.fullRounds(state, false) + return state +} + +func (c *PoseidonBN128Chip) HashNoPad(input []field.F) PoseidonBN128HashOut { + state := PoseidonBN128State{ + frontend.Variable(0), + frontend.Variable(0), + frontend.Variable(0), + frontend.Variable(0), + } + + for i := 0; i < len(input); i += spongeRate * 3 { + endI := c.min(len(input), i+spongeRate*3) + rateChunk := input[i:endI] + for j, stateIdx := 0, 0; j < len(rateChunk); j, stateIdx = j+3, stateIdx+1 { + endJ := c.min(len(rateChunk), j+3) + bn128Chunk := rateChunk[j:endJ] + + bits := []frontend.Variable{} + for k := 0; k < len(bn128Chunk); k++ { + bn128Chunk[k] = c.fieldAPI.Reduce(bn128Chunk[k]) + bits = append(bits, c.fieldAPI.ToBits(bn128Chunk[k])...) + } + + state[stateIdx+1] = c.api.FromBinary(bits...) + } + + state = c.Poseidon(state) + } + + return PoseidonBN128HashOut(state[0]) +} + +func (c *PoseidonBN128Chip) HashOrNoop(input []field.F) PoseidonBN128HashOut { + if len(input) <= 3 { + returnVal := frontend.Variable(0) + + alpha := new(big.Int).SetInt64(1 << 32) + for i, inputElement := range input { + returnVal = c.api.Add(returnVal, c.api.Mul(inputElement, alpha.Exp(alpha, big.NewInt(int64(i)), nil))) + } + + return PoseidonBN128HashOut(returnVal) + } else { + return c.HashNoPad(input) + } +} + +func (c *PoseidonBN128Chip) TwoToOne(left PoseidonBN128HashOut, right PoseidonBN128HashOut) PoseidonBN128HashOut { + var inputs PoseidonBN128State + inputs[0] = frontend.Variable(0) + inputs[1] = frontend.Variable(0) + inputs[2] = left + inputs[3] = right + state := c.Poseidon(inputs) + return state[0] +} + +func (c *PoseidonBN128Chip) ToVec(hash PoseidonBN128HashOut) []field.F { + bits := c.api.ToBinary(hash) + + returnElements := []field.F{} + + // Split into 7 byte chunks, since 8 byte chunks can result in collisions + chunkSize := 56 + for i := 0; i < len(bits); i += chunkSize { + maxIdx := c.min(len(bits), i+chunkSize) + bitChunk := bits[i:maxIdx] + returnElements = append(returnElements, c.fieldAPI.FromBits(bitChunk...)) + } + + return returnElements +} + +func (c *PoseidonBN128Chip) min(x, y int) int { + if x < y { + return x + } + + return y +} + +func (c *PoseidonBN128Chip) fullRounds(state PoseidonBN128State, isFirst bool) PoseidonBN128State { + for i := 0; i < fullRounds/2-1; i++ { + state = c.exp5state(state) + if isFirst { + state = c.ark(state, (i+1)*spongeWidth) + } else { + state = c.ark(state, (fullRounds/2+1)*spongeWidth+partialRounds+i*spongeWidth) + } + state = c.mix(state, mMatrix) + } + + state = c.exp5state(state) + if isFirst { + state = c.ark(state, (fullRounds/2)*spongeWidth) + state = c.mix(state, pMatrix) + } else { + state = c.mix(state, mMatrix) + } + + return state +} + +func (c *PoseidonBN128Chip) partialRounds(state PoseidonBN128State) PoseidonBN128State { + for i := 0; i < partialRounds; i++ { + state[0] = c.exp5(state[0]) + state[0] = c.api.Add(state[0], cConstants[(fullRounds/2+1)*spongeWidth+i]) + + var mul frontend.Variable + newState0 := frontend.Variable(0) + for j := 0; j < spongeWidth; j++ { + mul = c.api.Mul(sConstants[(spongeWidth*2-1)*i+j], state[j]) + newState0 = c.api.Add(newState0, mul) + } + + for k := 1; k < spongeWidth; k++ { + mul = c.api.Mul(state[0], sConstants[(spongeWidth*2-1)*i+spongeWidth+k-1]) + state[k] = c.api.Add(state[k], mul) + } + state[0] = newState0 + } + + return state +} + +func (c *PoseidonBN128Chip) ark(state PoseidonBN128State, it int) PoseidonBN128State { + var result PoseidonBN128State + + for i := 0; i < len(state); i++ { + result[i] = c.api.Add(state[i], cConstants[it+i]) + } + + return result +} + +func (c *PoseidonBN128Chip) exp5(x frontend.Variable) frontend.Variable { + x2 := c.api.Mul(x, x) + x4 := c.api.Mul(x2, x2) + return c.api.Mul(x4, x) +} + +func (c *PoseidonBN128Chip) exp5state(state PoseidonBN128State) PoseidonBN128State { + for i := 0; i < spongeWidth; i++ { + state[i] = c.exp5(state[i]) + } + return state +} + +func (c *PoseidonBN128Chip) mix(state_ PoseidonBN128State, constantMatrix [][]*big.Int) PoseidonBN128State { + var mul frontend.Variable + var result PoseidonBN128State + + for i := 0; i < spongeWidth; i++ { + result[i] = frontend.Variable(0) + } + + for i := 0; i < spongeWidth; i++ { + for j := 0; j < spongeWidth; j++ { + mul = c.api.Mul(constantMatrix[j][i], state_[j]) + result[i] = c.api.Add(result[i], mul) + } + } + + return result +} diff --git a/poseidon/poseidon_bn128_constants.go b/poseidon/poseidon_bn128_constants.go new file mode 100644 index 0000000..0359154 --- /dev/null +++ b/poseidon/poseidon_bn128_constants.go @@ -0,0 +1,537 @@ +package poseidon + +import ( + "math/big" +) + +var cConstants []*big.Int +var sConstants []*big.Int +var mMatrix [][]*big.Int +var pMatrix = make([][]*big.Int, 4) + +func init() { + cConstants = make([]*big.Int, 88) + sConstants = make([]*big.Int, 392) + + mMatrix = make([][]*big.Int, 4) + pMatrix = make([][]*big.Int, 4) + + for i := 0; i < 4; i++ { + mMatrix[i] = make([]*big.Int, 4) + pMatrix[i] = make([]*big.Int, 4) + } + + cConstants[0], _ = new(big.Int).SetString("11633431549750490989983886834189948010834808234699737327785600195936805266405", 10) + cConstants[1], _ = new(big.Int).SetString("17353750182810071758476407404624088842693631054828301270920107619055744005334", 10) + cConstants[2], _ = new(big.Int).SetString("11575173631114898451293296430061690731976535592475236587664058405912382527658", 10) + cConstants[3], _ = new(big.Int).SetString("9724643380371653925020965751082872123058642683375812487991079305063678725624", 10) + cConstants[4], _ = new(big.Int).SetString("12239673881776349871068957838196514517245834187939809998544709168112271341816", 10) + cConstants[5], _ = new(big.Int).SetString("8213756851595907076282161124887805623974269954849888814703174589291971114278", 10) + cConstants[6], _ = new(big.Int).SetString("10700856158409047630150108954036764855084229282872224809993001752389888794123", 10) + cConstants[7], _ = new(big.Int).SetString("4309412763160017434705250214903006191171337994199861518317363388963372067759", 10) + cConstants[8], _ = new(big.Int).SetString("13621360205860636764861614843016050680668828136032459556937427803817198955108", 10) + cConstants[9], _ = new(big.Int).SetString("18132744072298259781740650630118713682311962872833394850644922000343506947506", 10) + cConstants[10], _ = new(big.Int).SetString("10497941627597965031241580959233976924443640728463059894693130666064841012508", 10) + cConstants[11], _ = new(big.Int).SetString("6417221626367515719470057497947343409306030587855174225463612195298058047522", 10) + cConstants[12], _ = new(big.Int).SetString("4674983908670004491400354631773389862914788156614497726528237310334040582090", 10) + cConstants[13], _ = new(big.Int).SetString("873340198155297459771531732108476825755499970277106398541966195153210717293", 10) + cConstants[14], _ = new(big.Int).SetString("9133482302270339304679323394649165596260136537041379860642176850815828132593", 10) + cConstants[15], _ = new(big.Int).SetString("19667464340426349564507575767837635537801536066735594705258884488718315050710", 10) + cConstants[16], _ = new(big.Int).SetString("331000697881161076911287227440410522823531125482651243929873545789686252480", 10) + cConstants[17], _ = new(big.Int).SetString("2272743329483520819389104778389979623160875907321267447635586085241433137026", 10) + cConstants[18], _ = new(big.Int).SetString("20056061746422267419826865443608176291944892343638717421077672390127627926748", 10) + cConstants[19], _ = new(big.Int).SetString("21689171326367195475219251979604515804697103534428737460300868676042327355863", 10) + cConstants[20], _ = new(big.Int).SetString("7810259695400914964411387917274296266504340291833964145271847716091273468172", 10) + cConstants[21], _ = new(big.Int).SetString("14020998353215410538067420885522582505027736982810754116099481711825941220642", 10) + cConstants[22], _ = new(big.Int).SetString("9245012796693900213810598954108273676196337302084957472786966340245263275743", 10) + cConstants[23], _ = new(big.Int).SetString("8962981905074764319938168719738488892057352527537684271935935864821273084600", 10) + cConstants[24], _ = new(big.Int).SetString("17332843516965697478516240137711403804881134130964557790940490781033584077729", 10) + cConstants[25], _ = new(big.Int).SetString("2962481512633005781617177153208165597038681617596047875933934580338169170271", 10) + cConstants[26], _ = new(big.Int).SetString("3545583524837641414415308887998349399894575957283448040799889114001300580510", 10) + cConstants[27], _ = new(big.Int).SetString("9825748584719861837046057557518727684444343953070352817632834283853645430055", 10) + cConstants[28], _ = new(big.Int).SetString("17858606226144476516342911398749600850253621768390773635294560290497927852949", 10) + cConstants[29], _ = new(big.Int).SetString("19407543101519936976076786599565778993379293656069417288311522496519916759844", 10) + cConstants[30], _ = new(big.Int).SetString("21548305854518815463471937514130615108218483277778620473090880308362072806993", 10) + cConstants[31], _ = new(big.Int).SetString("5027201548230124209007202023859059041801516590630988556095211824751904956552", 10) + cConstants[32], _ = new(big.Int).SetString("1278320788183053034261211126815207721315633476390581364649595040979423239088", 10) + cConstants[33], _ = new(big.Int).SetString("21021340095589643000573495115924922630807303076545481383969066202975724043976", 10) + cConstants[34], _ = new(big.Int).SetString("918385069628188207001966014851379853961258262104472252966637722307728618311", 10) + cConstants[35], _ = new(big.Int).SetString("7965072539100037475925090906281896901763370093075915840665305317760262942154", 10) + cConstants[36], _ = new(big.Int).SetString("7378267415483811789102866201206786220747449921553565182362543937740633252433", 10) + cConstants[37], _ = new(big.Int).SetString("21420063039401631492872969377050715448026482027341082733718950945529081119315", 10) + cConstants[38], _ = new(big.Int).SetString("6984186848935723943941543006673172228872682933412337752165652636767411415446", 10) + cConstants[39], _ = new(big.Int).SetString("12107134736452640457370020100579770521541376434013671407419563526253119375027", 10) + cConstants[40], _ = new(big.Int).SetString("8454625495310558663140928634608422027208548557279385097066005785045755903417", 10) + cConstants[41], _ = new(big.Int).SetString("8017631723660250252193376543593224884977313136061388836952991492888330231080", 10) + cConstants[42], _ = new(big.Int).SetString("19995498935394919030796805510514577077319475365066948284951310616396837691603", 10) + cConstants[43], _ = new(big.Int).SetString("10247653874740427181312035102426523630476005333120089103526343619029364327967", 10) + cConstants[44], _ = new(big.Int).SetString("13160967777591563201117493157286130579932067039961943416358165521611018318814", 10) + cConstants[45], _ = new(big.Int).SetString("5676293694146750080963041160092533338992482128392885932218516813947476623756", 10) + cConstants[46], _ = new(big.Int).SetString("11945330020489343984352429388118756789915736454422495317728221749575540363130", 10) + cConstants[47], _ = new(big.Int).SetString("16575755931296600565681989782918578103656201270919325693721999523168590365097", 10) + cConstants[48], _ = new(big.Int).SetString("6507448101913175376269537672277524478400652962306200709943614250998845221975", 10) + cConstants[49], _ = new(big.Int).SetString("20000756050339437189232666465591830538666897533492662864197332257508545696504", 10) + cConstants[50], _ = new(big.Int).SetString("2538139500492919467696560596150779916859394629326537877502980743087004819534", 10) + cConstants[51], _ = new(big.Int).SetString("7871037999774788273525866585990542333245923983722339125599991222477852815605", 10) + cConstants[52], _ = new(big.Int).SetString("8368558409504001796987467259514778517606739110778427183378433173780120985763", 10) + cConstants[53], _ = new(big.Int).SetString("10459885623117973980697126416757555084518174957115744579590957904857119054380", 10) + cConstants[54], _ = new(big.Int).SetString("3384626976854176329065296334831532874977246373363627584425356985964639685936", 10) + cConstants[55], _ = new(big.Int).SetString("14737139139809423972873213065253246598075451131478157534053817909649707346105", 10) + cConstants[56], _ = new(big.Int).SetString("5793030407008346395600962336988545239125310160053522248574303463872647020425", 10) + cConstants[57], _ = new(big.Int).SetString("161797721038773165886882501305032811420344793568022002686671602943345085701", 10) + cConstants[58], _ = new(big.Int).SetString("16804762399165090393770239542398927686244163302041099831597167085216405440289", 10) + cConstants[59], _ = new(big.Int).SetString("15440431301017924367171251352865716677435047477418739126248587843926419339250", 10) + cConstants[60], _ = new(big.Int).SetString("15570353803062363582500010627498291625214012654155408601153435169223922455380", 10) + cConstants[61], _ = new(big.Int).SetString("15115601269705628455987152258857868396524812969878723314685224929600383566277", 10) + cConstants[62], _ = new(big.Int).SetString("6356053248039389904799735666848118481514593163165587256076018940751965212118", 10) + cConstants[63], _ = new(big.Int).SetString("16309790196305846370580640353745827882351273732480869449701807093685497609128", 10) + cConstants[64], _ = new(big.Int).SetString("18447296906230039277288210321788736138216936478488032824595044533456671231353", 10) + cConstants[65], _ = new(big.Int).SetString("6105351805879633605209308509080121925171118411225835503106175078539279138153", 10) + cConstants[66], _ = new(big.Int).SetString("19852645406205681222287243787651048897744424465454177194550461625744671602479", 10) + cConstants[67], _ = new(big.Int).SetString("9007786282651237028773725177593860474523832555275407287854317958939412791659", 10) + cConstants[68], _ = new(big.Int).SetString("18947127426470143546676956069733014228119216644326548862881450999285087652129", 10) + cConstants[69], _ = new(big.Int).SetString("4006307826238987763983990462011007258305618881936961734589789440938853470615", 10) + cConstants[70], _ = new(big.Int).SetString("6924385845051163089352800210788743599810236082363643773698057309137019167115", 10) + cConstants[71], _ = new(big.Int).SetString("2561599182344380405085465588284140808385687895597384476955417835636116225821", 10) + cConstants[72], _ = new(big.Int).SetString("18225048309586676741223646736155757525087799474840323150729701492173705507839", 10) + cConstants[73], _ = new(big.Int).SetString("16007480414415489869989133828107467718966566156219711380836971295459227141818", 10) + cConstants[74], _ = new(big.Int).SetString("1248906006044888441798838825685606393060257012284188943868730340563960780866", 10) + cConstants[75], _ = new(big.Int).SetString("20912864018050627133842158245163422113261374878008212512322853267715626252916", 10) + cConstants[76], _ = new(big.Int).SetString("13216486202690474504584820948167785518004498504229717602814280132903612841969", 10) + cConstants[77], _ = new(big.Int).SetString("17416264900059210810716133407170753459272974595675494034944092509584936747655", 10) + cConstants[78], _ = new(big.Int).SetString("15395940772659312642272628762657023074462358708226101085466723152641135097674", 10) + cConstants[79], _ = new(big.Int).SetString("4690442806047481777095177614992497363041188209965731514747362442612318535595", 10) + cConstants[80], _ = new(big.Int).SetString("12980185426778583997022610696582563821013078583440402121868121411086576741088", 10) + cConstants[81], _ = new(big.Int).SetString("19436953581443472871973830882428624449045305494959438365629984120779166561614", 10) + cConstants[82], _ = new(big.Int).SetString("7021128259021787032633332177524933222338330182720924079777325144523649322812", 10) + cConstants[83], _ = new(big.Int).SetString("18561291417991436986590120557027289864572049192245689357046574683519049533637", 10) + cConstants[84], _ = new(big.Int).SetString("12019749240411640852887001467406069824508276240179427493437313074459156379732", 10) + cConstants[85], _ = new(big.Int).SetString("19007581091212404202795325684108744075320879284650517772195719617120941682734", 10) + cConstants[86], _ = new(big.Int).SetString("8172766643075822491744127151779052248074930479661223662192995838879026989201", 10) + cConstants[87], _ = new(big.Int).SetString("1885998770792872998306340529689960371653339961062025442813774917754800650781", 10) + + sConstants[0], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[1], _ = new(big.Int).SetString("20198106103550706280267600199190750325504745188750640438654177959939538483777", 10) + sConstants[2], _ = new(big.Int).SetString("20760367756622597472566835313508896628444391801225538453375145392828630013190", 10) + sConstants[3], _ = new(big.Int).SetString("4560321026325826558577463029506577497226940849420215249948019116691014248443", 10) + sConstants[4], _ = new(big.Int).SetString("14542348742554217629977259301175635295381723358917389768274600005636270665372", 10) + sConstants[5], _ = new(big.Int).SetString("15896375770890915929312334597144922470201903000282577832977222171710825960733", 10) + sConstants[6], _ = new(big.Int).SetString("12252597347102015743878803847985560878912969150828000392862427919235870760323", 10) + sConstants[7], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[8], _ = new(big.Int).SetString("7179342059755701265188463641990689102412444920238824560515276276968272417627", 10) + sConstants[9], _ = new(big.Int).SetString("4291630597779640477035256747339007105528129889017831542003293220100844273045", 10) + sConstants[10], _ = new(big.Int).SetString("7155591457893668398581213488670279080694237456746471479962759104308162960346", 10) + sConstants[11], _ = new(big.Int).SetString("18018059843853960571576693455761079306078638316240126846230125992269221919628", 10) + sConstants[12], _ = new(big.Int).SetString("17192953047291854075450899126062621814148699654417386994738494022353693631044", 10) + sConstants[13], _ = new(big.Int).SetString("21569358698233938087179836388127293183598397710122666685148766859224500701833", 10) + sConstants[14], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[15], _ = new(big.Int).SetString("767999929530270249383649002937499906068820748885293476546946323828660462871", 10) + sConstants[16], _ = new(big.Int).SetString("5621566033978712522450054985133362876999740181849707666504220417128301048308", 10) + sConstants[17], _ = new(big.Int).SetString("7047587043137472855909285569331719962122602952080655968507950635506526200417", 10) + sConstants[18], _ = new(big.Int).SetString("4106788926932251085789923064963212794107963499320782851030491954062548275037", 10) + sConstants[19], _ = new(big.Int).SetString("4545465201904739898734767265726940896371623586331600641370124254775978068067", 10) + sConstants[20], _ = new(big.Int).SetString("10998902844068831181439895790460185435489188976722435541316954293463196661627", 10) + sConstants[21], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[22], _ = new(big.Int).SetString("4376836298206152573581217002448306554373223213053980459591637689821900483336", 10) + sConstants[23], _ = new(big.Int).SetString("5063873841797552329477290331693185729765297320248590815860571737190009344755", 10) + sConstants[24], _ = new(big.Int).SetString("17220054068062949177158788546035218460663984286240089601095376499170326046885", 10) + sConstants[25], _ = new(big.Int).SetString("6096091793679274146365056037005290512891839764898244154356695047489211507312", 10) + sConstants[26], _ = new(big.Int).SetString("20208154436430351332345105187219062318903703844357504892008088901754085119783", 10) + sConstants[27], _ = new(big.Int).SetString("20838511199557042422189066592494164230774524176144133560311285338373104325885", 10) + sConstants[28], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[29], _ = new(big.Int).SetString("16227720862704770803579874423899491820268073980006154670796744520986650305964", 10) + sConstants[30], _ = new(big.Int).SetString("3929921339874032224077598341189960169422821598221170533707987779964278253429", 10) + sConstants[31], _ = new(big.Int).SetString("11676522033799786037262769984406232796495555956069794755879715792396951198318", 10) + sConstants[32], _ = new(big.Int).SetString("7762519209385193303450585425818218327021377088446472105589371562364474259645", 10) + sConstants[33], _ = new(big.Int).SetString("12228816136730871104506419752649367119045148103237539623130531869347941136043", 10) + sConstants[34], _ = new(big.Int).SetString("5506740114091186508725306313701186842841118936086047703119202768266996591645", 10) + sConstants[35], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[36], _ = new(big.Int).SetString("14813919600103919291484875851986720548476220511386386518354061356196294952105", 10) + sConstants[37], _ = new(big.Int).SetString("19412665928425989269357649645392922518929142728556361947563991549129986237680", 10) + sConstants[38], _ = new(big.Int).SetString("7745252322635388376641759428229975035032852732127464661605110457073217385072", 10) + sConstants[39], _ = new(big.Int).SetString("12066184602104703003390387343585316865507822321930012054206126015745471356816", 10) + sConstants[40], _ = new(big.Int).SetString("12620273762884289038844321186080149434615909817652953074992148689167338466281", 10) + sConstants[41], _ = new(big.Int).SetString("11751773042154924867322926561716263630089863992083485679779160826117120630730", 10) + sConstants[42], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[43], _ = new(big.Int).SetString("5787863126296931978637454491180421506307265052288386136386997720537089333357", 10) + sConstants[44], _ = new(big.Int).SetString("4359270971608384879625804007684881130504862820820494966964908818477035866962", 10) + sConstants[45], _ = new(big.Int).SetString("19213956561377299828591097862016633994148464565683346498602915228516385038972", 10) + sConstants[46], _ = new(big.Int).SetString("10661554072824488477243358897537934080796136449622029441506710580786939692047", 10) + sConstants[47], _ = new(big.Int).SetString("3607791084285905641943446462342879718459787316113396877697968017015606720718", 10) + sConstants[48], _ = new(big.Int).SetString("21380267103954285713588504655257961830793460465329761560308765483331070823566", 10) + sConstants[49], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[50], _ = new(big.Int).SetString("16335017324810170896233622441986531365208293021101073775522004006769586788569", 10) + sConstants[51], _ = new(big.Int).SetString("8596452296160802102282257210844234154821630615259613589128211738647312221536", 10) + sConstants[52], _ = new(big.Int).SetString("16301372420970040998092568156060757300799008373690279794165397142889066306513", 10) + sConstants[53], _ = new(big.Int).SetString("11903327405072234929619206491534763321300297227799575111355508350177812704304", 10) + sConstants[54], _ = new(big.Int).SetString("14821948344368180716550312221723948572649473361813001292505502225087596775887", 10) + sConstants[55], _ = new(big.Int).SetString("5285692778454746827266147532131677990565304365953070750869571432820529495914", 10) + sConstants[56], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[57], _ = new(big.Int).SetString("10012872528823706988605864950067342792516562023507005612462537243496467566252", 10) + sConstants[58], _ = new(big.Int).SetString("21446538914812609684138720355481253195782233393805940184895189253411195275222", 10) + sConstants[59], _ = new(big.Int).SetString("6967738095634646257690113616580876555259467406702097184326306034350680240041", 10) + sConstants[60], _ = new(big.Int).SetString("4106908293164276270299730590107104728631886925545072356564726466348010934176", 10) + sConstants[61], _ = new(big.Int).SetString("20927688665665429774877287472467937369033546230576320387423016374665584172634", 10) + sConstants[62], _ = new(big.Int).SetString("9961827048684904093454156105462119035870307939873087416648411282423867596401", 10) + sConstants[63], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[64], _ = new(big.Int).SetString("17625964999746898246984332334222740240090489215775011285534890391099108738991", 10) + sConstants[65], _ = new(big.Int).SetString("6756403122817134101960922940971569987994537470470008333055210502063290961967", 10) + sConstants[66], _ = new(big.Int).SetString("18209952059360034384023720860507712662310034604843833483955548867331649086618", 10) + sConstants[67], _ = new(big.Int).SetString("8749953392298305294875888962184156769810429880914465959429873281709868501522", 10) + sConstants[68], _ = new(big.Int).SetString("13903906876414887303860424108888965657645488675119946001291096608021846549241", 10) + sConstants[69], _ = new(big.Int).SetString("8884215530056835002390372161442569149992192407996136723184495322116314590715", 10) + sConstants[70], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[71], _ = new(big.Int).SetString("15368493359884894356742361670810465111377869951487306983186672135817808040059", 10) + sConstants[72], _ = new(big.Int).SetString("16469301592941427332568429408115015498659452810956369922459344407975076653255", 10) + sConstants[73], _ = new(big.Int).SetString("11953776125042477689669753843214783238996317490452913722906886945106240528752", 10) + sConstants[74], _ = new(big.Int).SetString("4850027575321262255650746466350338325012270813222547784484958365303358175196", 10) + sConstants[75], _ = new(big.Int).SetString("7167191208528939112939986630484202425436947674819310704476597678688297314160", 10) + sConstants[76], _ = new(big.Int).SetString("14743993805036761996537001252852408745345655735519736268834200732992754437162", 10) + sConstants[77], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[78], _ = new(big.Int).SetString("2193200656642352685118935602989839715339339245164998181015765438900681320425", 10) + sConstants[79], _ = new(big.Int).SetString("4952431971730605970338760580694476897050208114543185599136664869372496356437", 10) + sConstants[80], _ = new(big.Int).SetString("11345335340256434787038072013242069397625261572269911025596723263652849081076", 10) + sConstants[81], _ = new(big.Int).SetString("19160419866562146325212161338497565927215049171520418417356683157217751672139", 10) + sConstants[82], _ = new(big.Int).SetString("1906154907657701464044944280274832161539842850674948965456024456273947429115", 10) + sConstants[83], _ = new(big.Int).SetString("16149082223365808325093364716798557120316343643236068373217398223890421952409", 10) + sConstants[84], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[85], _ = new(big.Int).SetString("15043765472887378252850447725400426753906560153686308918666838116627815818554", 10) + sConstants[86], _ = new(big.Int).SetString("12358170975909062301667468450513761096746838254885629802196667786117625700681", 10) + sConstants[87], _ = new(big.Int).SetString("8976079215643004959353142348700280485976874920070539486194110584442767827768", 10) + sConstants[88], _ = new(big.Int).SetString("16076674040958582640238476383964669465698501606063044308184974525408139269248", 10) + sConstants[89], _ = new(big.Int).SetString("21647594485928619120181355125322770225837180985764869124047447620451714635371", 10) + sConstants[90], _ = new(big.Int).SetString("21615565593822404396628787247811190031843657706885317097074400292994831686718", 10) + sConstants[91], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[92], _ = new(big.Int).SetString("7285489402319904168831455790041657959272324796876172356990227907987038622155", 10) + sConstants[93], _ = new(big.Int).SetString("8211470967679835460786450636871651606756811185450731546421075600179331665168", 10) + sConstants[94], _ = new(big.Int).SetString("13120324752637151731834041425113532499273467426551390593296677993139082244188", 10) + sConstants[95], _ = new(big.Int).SetString("6490061383110696131545774076292741528427005211177990719476969041145673265422", 10) + sConstants[96], _ = new(big.Int).SetString("21671644951532628690769713999772810624944081525303128765668379478511313095702", 10) + sConstants[97], _ = new(big.Int).SetString("17491948871201042934988514071862478178478080786921680019735540941776855947714", 10) + sConstants[98], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[99], _ = new(big.Int).SetString("20875198681143976093301585336441600786893116178926266185909922467347281090330", 10) + sConstants[100], _ = new(big.Int).SetString("3598136009866557326049002438338730052625336381410025235713569185700458778346", 10) + sConstants[101], _ = new(big.Int).SetString("10257854050179821094359263633511835293496268374135163743255999829573090463793", 10) + sConstants[102], _ = new(big.Int).SetString("8709186608235401140998284233255708538357614560705220346211132868280137795418", 10) + sConstants[103], _ = new(big.Int).SetString("1259589977644258611864841556278758814462356863769029941139050408715640323060", 10) + sConstants[104], _ = new(big.Int).SetString("4938787097541166466238757186525276546940957932147842294635573194784914432374", 10) + sConstants[105], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[106], _ = new(big.Int).SetString("16717728254520320964463545682641729805489575123710417403982868570393738171908", 10) + sConstants[107], _ = new(big.Int).SetString("9748879216547249587937312403683718221531596047715540576918379577191876140829", 10) + sConstants[108], _ = new(big.Int).SetString("14944874834710321794079457580123143945012638912293883509561999360499542827539", 10) + sConstants[109], _ = new(big.Int).SetString("18031584503513589779232867929321541667009512801047020067337884181460183159789", 10) + sConstants[110], _ = new(big.Int).SetString("18414164542389736964053830253126595155017280572430646030445262089460883013232", 10) + sConstants[111], _ = new(big.Int).SetString("2610402018952962996318994974332047870945223376199918653423836750745739531230", 10) + sConstants[112], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[113], _ = new(big.Int).SetString("14009467204580838343058201541088761048498359505808795311724314678689480323211", 10) + sConstants[114], _ = new(big.Int).SetString("21469776223413224601890303218554639233147301494161934252153679844173746974667", 10) + sConstants[115], _ = new(big.Int).SetString("20647680658876691843280356403387803136370174824153696476894283712779784940833", 10) + sConstants[116], _ = new(big.Int).SetString("7936850548423967572066326867280341951424312865893525326890769023431047320991", 10) + sConstants[117], _ = new(big.Int).SetString("12722969395702657985023075505830677750286440950878333627607092139722193056708", 10) + sConstants[118], _ = new(big.Int).SetString("11321152935530907374770739017822060871862163756958501641453518139130228537202", 10) + sConstants[119], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[120], _ = new(big.Int).SetString("4094512680835093637766266255807831961532213986166871807693377951477711786051", 10) + sConstants[121], _ = new(big.Int).SetString("18178389385096689665303225717280896610765865274508135228632006790574677752293", 10) + sConstants[122], _ = new(big.Int).SetString("5003815887613767774717115773943502417144707145760897577207221259749678760892", 10) + sConstants[123], _ = new(big.Int).SetString("11395014411676120154590806918236444089801092874462769558428488274754488682814", 10) + sConstants[124], _ = new(big.Int).SetString("5043626533165824802355651303240938472427342475587368271803664178703751133184", 10) + sConstants[125], _ = new(big.Int).SetString("20737661798231456194286427103806996346683878567029159134024210934417745289241", 10) + sConstants[126], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[127], _ = new(big.Int).SetString("17885807983183478128547293344015669882824716934567927629992464147210758449961", 10) + sConstants[128], _ = new(big.Int).SetString("4491530859611985170204284394599169523531547745924230349900720023555385570566", 10) + sConstants[129], _ = new(big.Int).SetString("10590405810993997824904026910850308084431468206425947323744908163083992870845", 10) + sConstants[130], _ = new(big.Int).SetString("14773696309507449928652967351151268377421083281901294044684766706170272145134", 10) + sConstants[131], _ = new(big.Int).SetString("8012817909803347753036095373079065441540540870790316296905616948358031128489", 10) + sConstants[132], _ = new(big.Int).SetString("15953294845538540694147122390548121234862217402440162841644474763770065752954", 10) + sConstants[133], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[134], _ = new(big.Int).SetString("19330308615634016202275470394593918283291746889176278663184951919223544096896", 10) + sConstants[135], _ = new(big.Int).SetString("15105179537685942573078046208371583063999793255578601214915887961329652398190", 10) + sConstants[136], _ = new(big.Int).SetString("21709064542465141520669973714950919003335169451362947708974082912187480247791", 10) + sConstants[137], _ = new(big.Int).SetString("460683998482756280912187509737431365362650506162063605585420395591986395093", 10) + sConstants[138], _ = new(big.Int).SetString("8528936230636059063848306774318500923209521695610089597282351580188192653610", 10) + sConstants[139], _ = new(big.Int).SetString("8893687738651874055934077641258880070065696892648906132887857010931807062812", 10) + sConstants[140], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[141], _ = new(big.Int).SetString("9353521397201520020163669559110959732855095088196767785130221250369398534266", 10) + sConstants[142], _ = new(big.Int).SetString("16613542657585137487151470980837461302153210762614545024991732555481490683814", 10) + sConstants[143], _ = new(big.Int).SetString("2204502375207887950205548277458704596225935813112150868324282564135082293291", 10) + sConstants[144], _ = new(big.Int).SetString("21254675318867619388160936117044327276221059873039333971338260709002243972836", 10) + sConstants[145], _ = new(big.Int).SetString("16665573707712654499163134682677891418056405526644611110898762937899356502949", 10) + sConstants[146], _ = new(big.Int).SetString("14267552583056171982269630733147008270458243455399509417719716681547925602990", 10) + sConstants[147], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[148], _ = new(big.Int).SetString("16367942369253394098422648739247412041658904846897825274155468251740735622582", 10) + sConstants[149], _ = new(big.Int).SetString("3109601755423487827090460933116495844768178403907542635843078881599579349417", 10) + sConstants[150], _ = new(big.Int).SetString("13070881723095523414228674713428974685755915412664044005891151350338033029052", 10) + sConstants[151], _ = new(big.Int).SetString("10259475086157775344414603146661739080464638100961174958014154428063344142346", 10) + sConstants[152], _ = new(big.Int).SetString("14392919515768311705876085292469557682647137722466492884286386263408604670613", 10) + sConstants[153], _ = new(big.Int).SetString("517834877649467900881483483632287988070398657044896986690867428743067995638", 10) + sConstants[154], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[155], _ = new(big.Int).SetString("19776116368291396730046653100175352607868202157614878715709943043429632352654", 10) + sConstants[156], _ = new(big.Int).SetString("5905125865653916927083238886025287246947738553282644091380121061742003257962", 10) + sConstants[157], _ = new(big.Int).SetString("21028910015562338297173802587144293023870505593218986935232089708700866548848", 10) + sConstants[158], _ = new(big.Int).SetString("13395944831564259671405922878791909538223635993323846275946092882663526594615", 10) + sConstants[159], _ = new(big.Int).SetString("7995249236543262914206397633444491535498682241246319919218592002459454218505", 10) + sConstants[160], _ = new(big.Int).SetString("20437702676708041916002540544749140197744801315911882559568865094949905456106", 10) + sConstants[161], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[162], _ = new(big.Int).SetString("18122990859780045886774524690965061785055534365091244948379358057402402367696", 10) + sConstants[163], _ = new(big.Int).SetString("7828598613589603783167146853068200035787559469554903457639957531866407371355", 10) + sConstants[164], _ = new(big.Int).SetString("9332650099915404377420203417011695963084742503430897569811042552155208487972", 10) + sConstants[165], _ = new(big.Int).SetString("10307617695590426797520999316292503894130404130453293663650538793774250723792", 10) + sConstants[166], _ = new(big.Int).SetString("8835502107624355497501451075768318888448783969087607217992442118675676473235", 10) + sConstants[167], _ = new(big.Int).SetString("19120067314041132936628146578356142975011085061134316893491148167766430272263", 10) + sConstants[168], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[169], _ = new(big.Int).SetString("14131158550284047904306566770309132813679338145017696511713416041803712831947", 10) + sConstants[170], _ = new(big.Int).SetString("18278505503803771900469477275449664281120609236542416293497549235136781566441", 10) + sConstants[171], _ = new(big.Int).SetString("17153958308999151990078644296244213778962356073179462336659818419962234105847", 10) + sConstants[172], _ = new(big.Int).SetString("16626758607046130451896378742113613353140534310327816824141377148817543345317", 10) + sConstants[173], _ = new(big.Int).SetString("3253978674468876751813289588828587424582893573659628257653601068985274811195", 10) + sConstants[174], _ = new(big.Int).SetString("15124684821333452470068683925631859150599113099371600515189799092190905862045", 10) + sConstants[175], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[176], _ = new(big.Int).SetString("17554798861971373266763024346102515996719053781651720018946226608652696029966", 10) + sConstants[177], _ = new(big.Int).SetString("4673377481212178482442054929782481181148885179378220577674849430151263814812", 10) + sConstants[178], _ = new(big.Int).SetString("12802184117569856558550257245216015988375556783492060695287038701794605413493", 10) + sConstants[179], _ = new(big.Int).SetString("9519514614359898302883682133832551410294990399516042521409471023087274168403", 10) + sConstants[180], _ = new(big.Int).SetString("16836659443451056297630548550595506972721716824013972318987309735084892491057", 10) + sConstants[181], _ = new(big.Int).SetString("7395214083924359580241425985340483333597901523044123868756997584036793198254", 10) + sConstants[182], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[183], _ = new(big.Int).SetString("14399322858803900772257678181955451734179272552912056546775770413858440530384", 10) + sConstants[184], _ = new(big.Int).SetString("1909978450171978853529623580362647076357052571231552147289256161279685882392", 10) + sConstants[185], _ = new(big.Int).SetString("13281885756205124109513999931355079980393369422935519271174043924199138273390", 10) + sConstants[186], _ = new(big.Int).SetString("164209740719129725777909013206421786172977937257506729867551471718043494039", 10) + sConstants[187], _ = new(big.Int).SetString("16705691420580567376788433299746618119784690539139871305988345805972046012457", 10) + sConstants[188], _ = new(big.Int).SetString("5826800399196629549123275187565614318381497389323145097682684583838285855788", 10) + sConstants[189], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[190], _ = new(big.Int).SetString("8745700306539329869259196731866071878870577472742983713396535761464344570296", 10) + sConstants[191], _ = new(big.Int).SetString("508475125028636547085017721909144447367158867634347790363605834249994548305", 10) + sConstants[192], _ = new(big.Int).SetString("13308065070657129846765808536411368840800238227915085241160671109842614736069", 10) + sConstants[193], _ = new(big.Int).SetString("10019712566526881174916627302365233202635409302600998712624311257405295555967", 10) + sConstants[194], _ = new(big.Int).SetString("14948048658262145603596652021141019702423717894287496732011428902097682702613", 10) + sConstants[195], _ = new(big.Int).SetString("15039086326216274046991605161343057988750627388067276180888219462568845064229", 10) + sConstants[196], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[197], _ = new(big.Int).SetString("21096491705236217573638753819195066035854753372393176304524423503032224425998", 10) + sConstants[198], _ = new(big.Int).SetString("20540136431631199250453995588480387143164544354370046506703506396812372935282", 10) + sConstants[199], _ = new(big.Int).SetString("21186849459525281586750729801174049327027230971997759985511944731378352524720", 10) + sConstants[200], _ = new(big.Int).SetString("6848121885117228161216817594905430814981258429233967407187604355908721328558", 10) + sConstants[201], _ = new(big.Int).SetString("13037575047232910005715065472416622419305037510557664085418549453156900385456", 10) + sConstants[202], _ = new(big.Int).SetString("17833625863119365031315208055152981164942897924758710427636399886811449556740", 10) + sConstants[203], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[204], _ = new(big.Int).SetString("647623368236351122220409431799139859876095524525221664162752495435482065515", 10) + sConstants[205], _ = new(big.Int).SetString("12974365649211231492520765559798270821958589291536737829547558404742935791527", 10) + sConstants[206], _ = new(big.Int).SetString("15547534600512764170410743968922508315745715132682752278457116429781298799438", 10) + sConstants[207], _ = new(big.Int).SetString("20584726236425418677723102941610547182735385166462720350906478152233407640408", 10) + sConstants[208], _ = new(big.Int).SetString("14300225354615797067692544691787701642123233971394030871903066287215191118747", 10) + sConstants[209], _ = new(big.Int).SetString("16295678001265781880580526410222599033811623386008655132827551618100838695276", 10) + sConstants[210], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[211], _ = new(big.Int).SetString("20381043379079252254800770843787089884660790822955671220847236480297529336205", 10) + sConstants[212], _ = new(big.Int).SetString("9108894275082870067933192903079574663897324502580109505768620424181024287163", 10) + sConstants[213], _ = new(big.Int).SetString("5680820607864330888516377287072858105818590744368374152569440046457757684320", 10) + sConstants[214], _ = new(big.Int).SetString("11053473350105919249170169199500210854013326531260083017794490958609880379672", 10) + sConstants[215], _ = new(big.Int).SetString("12769075511883530146865321202033588214490414269703513464106497906236932124198", 10) + sConstants[216], _ = new(big.Int).SetString("18759973693942567196361351599844723429910867650807109887961315229008339652628", 10) + sConstants[217], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[218], _ = new(big.Int).SetString("16425700741812211675363235647687005029399366301071410733155116166884856887679", 10) + sConstants[219], _ = new(big.Int).SetString("19869702808216677847758761872487163621387473209265033304520824036210441934818", 10) + sConstants[220], _ = new(big.Int).SetString("14073988039965881048079447010526118226047246598254103612590470558684258186244", 10) + sConstants[221], _ = new(big.Int).SetString("886202035735213563046862324816018035210995137716997070920200120700003967134", 10) + sConstants[222], _ = new(big.Int).SetString("12027565694895224474791802234109034039772984880014776210441706322417559146489", 10) + sConstants[223], _ = new(big.Int).SetString("11972498202326440163586176809543524758264680802074662372615568024949824595702", 10) + sConstants[224], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[225], _ = new(big.Int).SetString("1348630117144789003644452314839072329750068133934739562703659359268389747985", 10) + sConstants[226], _ = new(big.Int).SetString("1396107425439796908939750972938223221605778648225762567016308314789520339962", 10) + sConstants[227], _ = new(big.Int).SetString("6173001858003427802042546706782122098835769939275305980271183297728965316942", 10) + sConstants[228], _ = new(big.Int).SetString("16943717877001499284920880255048707490719574351604140426529143119277836403129", 10) + sConstants[229], _ = new(big.Int).SetString("14254637476176032842487152448677962929592936990526843481247886860454775633326", 10) + sConstants[230], _ = new(big.Int).SetString("20112551263640702643495202387764478482489841288043250651308711396213637765954", 10) + sConstants[231], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[232], _ = new(big.Int).SetString("14580210729080456657697439135745213807214996922877431278225104041221322283144", 10) + sConstants[233], _ = new(big.Int).SetString("17944065522218783686971981171223808953317623885825040885897493399216933397441", 10) + sConstants[234], _ = new(big.Int).SetString("21672476111949246523929453701335722206799241314728447223788259504904156987147", 10) + sConstants[235], _ = new(big.Int).SetString("16427849329831493218262402566840933522542577642557896988530799384419530862522", 10) + sConstants[236], _ = new(big.Int).SetString("10752733058291453323011452726707429118120906743416692984681703374550581513882", 10) + sConstants[237], _ = new(big.Int).SetString("1120153114481280927826334009363750761062539786064908406397864613779304433308", 10) + sConstants[238], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[239], _ = new(big.Int).SetString("6657045611436002337943867733574742655960423094099745811786819937865742754593", 10) + sConstants[240], _ = new(big.Int).SetString("4548688566209049346950516871294343401334051071109430534058854346117866744739", 10) + sConstants[241], _ = new(big.Int).SetString("12004873649650240122663793814044887628092046288070805572287428956807094282568", 10) + sConstants[242], _ = new(big.Int).SetString("10376720357183386406622952185756280165877227546938927619561389051210153106592", 10) + sConstants[243], _ = new(big.Int).SetString("17932525558731721856340352992169746291760530992792261472641282908501604446811", 10) + sConstants[244], _ = new(big.Int).SetString("17590757077464321402178239743669088074723578712251925458853962272816312109152", 10) + sConstants[245], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[246], _ = new(big.Int).SetString("3209081991282167870383195969354868449640899668458993044016055038297543518657", 10) + sConstants[247], _ = new(big.Int).SetString("5864786650128394026837230220022650012182783025931675255391916679281913080366", 10) + sConstants[248], _ = new(big.Int).SetString("12439377586247860055183624555830288546667346442629775929405362799390541279515", 10) + sConstants[249], _ = new(big.Int).SetString("20249169533694211243074917072193953326307543430194777911574824077740409867889", 10) + sConstants[250], _ = new(big.Int).SetString("11955292991025510476129504480910338468553857092582960824101774602100105865508", 10) + sConstants[251], _ = new(big.Int).SetString("21233753658809258463246874948160331522087646774375604829374717282611108497353", 10) + sConstants[252], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[253], _ = new(big.Int).SetString("5299619631018824922731916064083443097684549422797706633258895684420281864108", 10) + sConstants[254], _ = new(big.Int).SetString("16213823392220550809755333072267867447553466481133861809088541225502993792933", 10) + sConstants[255], _ = new(big.Int).SetString("21774021022385158712853171484065240472428767308361650780051834129571232443113", 10) + sConstants[256], _ = new(big.Int).SetString("19519712983460247626783700627305949599146930344376818640048505866722051236075", 10) + sConstants[257], _ = new(big.Int).SetString("19201631020677948940033345574241839698570728570677190746232685184366085684755", 10) + sConstants[258], _ = new(big.Int).SetString("16950719963293537936274035069294977251884656006132028465274842882566872316866", 10) + sConstants[259], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[260], _ = new(big.Int).SetString("19155409025424437690664522806909434551970754598652921692474864449826455337216", 10) + sConstants[261], _ = new(big.Int).SetString("7680332789706498740282955823359712103361665361365018131178757219206780037124", 10) + sConstants[262], _ = new(big.Int).SetString("21076561076080209150759527181245666654056099483239360146471339739637030537201", 10) + sConstants[263], _ = new(big.Int).SetString("497501917138640900716963445320097032971939272734057482481699619406679852072", 10) + sConstants[264], _ = new(big.Int).SetString("219804352410528064548663406794875692377819157777555527292379890517994310898", 10) + sConstants[265], _ = new(big.Int).SetString("20650062109272119754567889432541551183228545711882667368558930819623066285550", 10) + sConstants[266], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[267], _ = new(big.Int).SetString("11946781549111733342374437686417901919881339755720725189559112628795817706603", 10) + sConstants[268], _ = new(big.Int).SetString("2484460820642436269798549252737235980435448156526237726927772714161779556117", 10) + sConstants[269], _ = new(big.Int).SetString("9131896045016416748829978568219748930005109068654516264093181558753767987250", 10) + sConstants[270], _ = new(big.Int).SetString("17539690836656056361902215257263592451628414553660709391600001441653830206065", 10) + sConstants[271], _ = new(big.Int).SetString("18680327085533119384849399232368527875194911756927197995064579410845089235626", 10) + sConstants[272], _ = new(big.Int).SetString("3733704884118300721043768874060062456481930803626613247865795986430463043840", 10) + sConstants[273], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[274], _ = new(big.Int).SetString("10869324612517034722196547288387911568763853980957190569709459262556333259802", 10) + sConstants[275], _ = new(big.Int).SetString("13541129633400691168270375425224652251629428845905913714872674429516061703834", 10) + sConstants[276], _ = new(big.Int).SetString("19566585716231282658157065399746041623123586124594568018338142400023247847175", 10) + sConstants[277], _ = new(big.Int).SetString("11129427786234676461186088751699468257665219195861018218716326589482169235738", 10) + sConstants[278], _ = new(big.Int).SetString("12587809912397784737743829505557561200040529463438352967575388905004140998345", 10) + sConstants[279], _ = new(big.Int).SetString("19808473521007223175388701036440740142351657866781216113100022591252318502799", 10) + sConstants[280], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[281], _ = new(big.Int).SetString("5873853271511157388891218086625116841039294307138994311967890057520246823262", 10) + sConstants[282], _ = new(big.Int).SetString("13003486326245606952057355171036271201855738149044785151305974666902939676968", 10) + sConstants[283], _ = new(big.Int).SetString("317822617317373237216981618014479686465697065761329030109475447686164721451", 10) + sConstants[284], _ = new(big.Int).SetString("10813741057848680550002438472132336318708520104631920434881565279665858338767", 10) + sConstants[285], _ = new(big.Int).SetString("1407947600055243217568670010193019554033099296398850283939346444151815545565", 10) + sConstants[286], _ = new(big.Int).SetString("10748165363652029592490593406190797442361550791106744394554436667603982640562", 10) + sConstants[287], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[288], _ = new(big.Int).SetString("3799831132390157900444549796610450353874750090914089848349537541361771448668", 10) + sConstants[289], _ = new(big.Int).SetString("1236474870532132985977600728058617189131963342170879994970972386547660462416", 10) + sConstants[290], _ = new(big.Int).SetString("12129114991304316197801712028291571747667685822200300686411158807713612068935", 10) + sConstants[291], _ = new(big.Int).SetString("12452782504819389866332384374641397209636135503933026692197899235338769218420", 10) + sConstants[292], _ = new(big.Int).SetString("17177375615846222421363183777625422826542711334348976790999247784204226247153", 10) + sConstants[293], _ = new(big.Int).SetString("14724993254182752446999797852163908134432351958415665363281656992462126774682", 10) + sConstants[294], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[295], _ = new(big.Int).SetString("5334385037080506459192079464304402035717161708938461991741391759156701759962", 10) + sConstants[296], _ = new(big.Int).SetString("5839603057106324284245920895643629522252067410986057849259994788753287208289", 10) + sConstants[297], _ = new(big.Int).SetString("14326608902192980988016963288619186073396385273801977982209424374836032185437", 10) + sConstants[298], _ = new(big.Int).SetString("3833013442414862082598619907743002206819313202476167703686360031484342083849", 10) + sConstants[299], _ = new(big.Int).SetString("5782627886836397242604493658841762433123584410931373681442076300374639175204", 10) + sConstants[300], _ = new(big.Int).SetString("19713051315944380534324352563108780835417447391745041989823306798607010582122", 10) + sConstants[301], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[302], _ = new(big.Int).SetString("18432899792379962331910523191119990280606783016109716227581834102469679493864", 10) + sConstants[303], _ = new(big.Int).SetString("10114179315138932736747722408239325460537042542506605453447755151962569740761", 10) + sConstants[304], _ = new(big.Int).SetString("5821210875734924302116104693653963583724566141160222647210211530317113743846", 10) + sConstants[305], _ = new(big.Int).SetString("7272434816631750120284299385293876240257916908609412315349255596053274406936", 10) + sConstants[306], _ = new(big.Int).SetString("4212296281436173015983236952207520516627835095278776445938770899997037368424", 10) + sConstants[307], _ = new(big.Int).SetString("6955140567497387214231321978484207887660637811874868846921238176118501620416", 10) + sConstants[308], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[309], _ = new(big.Int).SetString("16897957031536287824842741409118604269531477953952068130977839056875990315078", 10) + sConstants[310], _ = new(big.Int).SetString("13928891481908488754724298520914059676632551457225054691072093686516662594704", 10) + sConstants[311], _ = new(big.Int).SetString("18609207589312797911981956932131451830029990404869237009695385065926468947990", 10) + sConstants[312], _ = new(big.Int).SetString("5536380863513150280191401661180648941427892275212253324640352848339521760494", 10) + sConstants[313], _ = new(big.Int).SetString("5599225957062546984064803248700291456577900100660883438352062938121375670876", 10) + sConstants[314], _ = new(big.Int).SetString("12727467597196655197125834858597394259624613129696376281662301390743901689826", 10) + sConstants[315], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[316], _ = new(big.Int).SetString("19163832296523160821274196616772872907137958231822436470531902352232904941115", 10) + sConstants[317], _ = new(big.Int).SetString("10312950311908120735753698174433012744274520178660214256070764297181492311529", 10) + sConstants[318], _ = new(big.Int).SetString("20378282857854630279466471430783739929226973027333858163427244408490964366943", 10) + sConstants[319], _ = new(big.Int).SetString("10377180064239448654317729091272064413356995963412409612959212677629982453181", 10) + sConstants[320], _ = new(big.Int).SetString("2933414924716564156600257176308187931324021696634706744075039747567264729208", 10) + sConstants[321], _ = new(big.Int).SetString("8493086687568016258498608482327521077256426060613869678446606139457160557731", 10) + sConstants[322], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[323], _ = new(big.Int).SetString("19381450024835411599145851239904096365633900646004460102189421850759351066697", 10) + sConstants[324], _ = new(big.Int).SetString("11953019744947469552190875928518181787128546459454153390773097887154577772396", 10) + sConstants[325], _ = new(big.Int).SetString("13376491371023193271031127665379748375688991534278974638471913598784726444357", 10) + sConstants[326], _ = new(big.Int).SetString("7542871725069391080270213343389444722683777408103033554143042828340526643887", 10) + sConstants[327], _ = new(big.Int).SetString("9502363618190826927264503377951186073033660324604374823531489866751694300021", 10) + sConstants[328], _ = new(big.Int).SetString("8942475100033900568271185100922618012810524607209352225513012701802010622336", 10) + sConstants[329], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[330], _ = new(big.Int).SetString("21672484879307704998081070986668301291593477229230485880081317733634466423656", 10) + sConstants[331], _ = new(big.Int).SetString("12560411374852110641761658167591216057124945743772728716943960683160724056822", 10) + sConstants[332], _ = new(big.Int).SetString("3722997355103511782752507300407310792223403249171458092438045493962181025019", 10) + sConstants[333], _ = new(big.Int).SetString("14433522510308019912373989177241241296955315520711007204668297246004835289367", 10) + sConstants[334], _ = new(big.Int).SetString("21074332145955362315628041254977693445345960799533333435986322886475303250112", 10) + sConstants[335], _ = new(big.Int).SetString("11688037814420019994761430124416432916208455640936309232737398596294520128684", 10) + sConstants[336], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[337], _ = new(big.Int).SetString("8413591227751150541157599965184931267423827079669402000298235589329872211968", 10) + sConstants[338], _ = new(big.Int).SetString("17650123658569960265162949890832225475263279247059954604797491790529432356321", 10) + sConstants[339], _ = new(big.Int).SetString("7032368326020336746840339437615845824739080336621780283569419873917360702928", 10) + sConstants[340], _ = new(big.Int).SetString("7385147306527643945794759599270778258162448657029306136967713046400437047254", 10) + sConstants[341], _ = new(big.Int).SetString("9164511581583407790134635624183479582650863721435788581639986518157210097971", 10) + sConstants[342], _ = new(big.Int).SetString("21232697956642675538653913718380508229639927919821094050264990131998515480363", 10) + sConstants[343], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[344], _ = new(big.Int).SetString("18766563503966172098056598342132389632908065386663557822565991028183540018003", 10) + sConstants[345], _ = new(big.Int).SetString("19588227650050881742478712753831458567447756852853785637599026881217455808917", 10) + sConstants[346], _ = new(big.Int).SetString("1397562335684000327360763239099474090628194083907387149001776134346855210172", 10) + sConstants[347], _ = new(big.Int).SetString("10198846647447159506242448434572704392281982267842998844531477628631237977793", 10) + sConstants[348], _ = new(big.Int).SetString("4082126476185956308289516001173247963427942564076732012191115788827109604670", 10) + sConstants[349], _ = new(big.Int).SetString("1259882007354573001457197686554861546488356012943826286439775962762529569759", 10) + sConstants[350], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[351], _ = new(big.Int).SetString("7716815769035341534093079824074304698185682494514188549310576878173077130022", 10) + sConstants[352], _ = new(big.Int).SetString("2044076383384167496824768664485547753134864604656664348421025061131743608977", 10) + sConstants[353], _ = new(big.Int).SetString("7774223140652128981941948651155326068745393941932597512012824767919719875428", 10) + sConstants[354], _ = new(big.Int).SetString("6679985805196174386295848216686508579276442390463151307353623646770660788584", 10) + sConstants[355], _ = new(big.Int).SetString("6774793209384233535964197412993868564894958211307656732015443437790617825766", 10) + sConstants[356], _ = new(big.Int).SetString("17867078843395024616403441485600115396944676013587205981831608189485186004136", 10) + sConstants[357], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[358], _ = new(big.Int).SetString("6918083713687670289412597323877415882006094844653186686554461196053948517650", 10) + sConstants[359], _ = new(big.Int).SetString("14794244995142016109988120927552904368673513765173156992855465350554201454520", 10) + sConstants[360], _ = new(big.Int).SetString("9469895491505210921132335959822444547950761948532088884408658386318765611458", 10) + sConstants[361], _ = new(big.Int).SetString("12410499443680346161671381257661336704947211959564338473797332912666796028788", 10) + sConstants[362], _ = new(big.Int).SetString("7926578664199378339557308917160770386201454695092254922901982085502190339711", 10) + sConstants[363], _ = new(big.Int).SetString("1074389802911575405482398726791994815320889352331411931514923735327800497648", 10) + sConstants[364], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[365], _ = new(big.Int).SetString("12660721219055881159942064421460786460560697520809352389013840987393603997135", 10) + sConstants[366], _ = new(big.Int).SetString("4257759001257681685309102971805195284424999843809187868418076529498991787195", 10) + sConstants[367], _ = new(big.Int).SetString("8970798405382398224814171740357247330369162836256360293947332566119181156885", 10) + sConstants[368], _ = new(big.Int).SetString("17958544420119383745643163073564878224834088412686597346123856987725643531187", 10) + sConstants[369], _ = new(big.Int).SetString("17738189036503307406862818984242172707709553320980438963253190315183389070671", 10) + sConstants[370], _ = new(big.Int).SetString("14287766641051399433873731520879849723607926081596701974021064214044740995654", 10) + sConstants[371], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[372], _ = new(big.Int).SetString("21558827418411379216994978187086694912014548431326761389965315489378942066021", 10) + sConstants[373], _ = new(big.Int).SetString("7136882485367499209618511242521887384194879969153189708025876500490677483273", 10) + sConstants[374], _ = new(big.Int).SetString("17220467566610801825959292161481147144970669500227722755203417787632930011521", 10) + sConstants[375], _ = new(big.Int).SetString("15644351871844947578414272909094033689340289967910075614127700893758848906931", 10) + sConstants[376], _ = new(big.Int).SetString("21741724266010931381264164854372691714176988715532516896804407315923532276434", 10) + sConstants[377], _ = new(big.Int).SetString("2419785684404332928492315984637322970326738862445167379156610994774664059995", 10) + sConstants[378], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[379], _ = new(big.Int).SetString("10339805366850086548361875185109456315271528882904249869004576409152632926693", 10) + sConstants[380], _ = new(big.Int).SetString("19066576437237017989921605377017982206044010175904765960860923934443601514592", 10) + sConstants[381], _ = new(big.Int).SetString("13822379132369217064164395859669265238386142106084498781870935216496751999075", 10) + sConstants[382], _ = new(big.Int).SetString("21216485273531618687167053274106121432450196094331038082541464436433083018343", 10) + sConstants[383], _ = new(big.Int).SetString("1540326880060266517508750499666125605454874001382251434794459985013783734049", 10) + sConstants[384], _ = new(big.Int).SetString("10979571635040509905158742852019305039752888804051338348133671756054719250675", 10) + sConstants[385], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + sConstants[386], _ = new(big.Int).SetString("17817950236968355275450565661453279500832679749582869473068209804712565393928", 10) + sConstants[387], _ = new(big.Int).SetString("4057227004326267443894866444790295439173752231112985308059870347643133047427", 10) + sConstants[388], _ = new(big.Int).SetString("9481547255077304194865834384522710415757401332737060279379100936057225542025", 10) + sConstants[389], _ = new(big.Int).SetString("19204974983793400699898444372535256207646557857575315905278218870961389967884", 10) + sConstants[390], _ = new(big.Int).SetString("14672613178263529785795301930884172260797190868602674472542654261498546023746", 10) + sConstants[391], _ = new(big.Int).SetString("21407770160218607278833379114951608489910182969042472165261557405353704846967", 10) + mMatrix[0][0], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + mMatrix[0][1], _ = new(big.Int).SetString("19204974983793400699898444372535256207646557857575315905278218870961389967884", 10) + mMatrix[0][2], _ = new(big.Int).SetString("14672613178263529785795301930884172260797190868602674472542654261498546023746", 10) + mMatrix[0][3], _ = new(big.Int).SetString("21407770160218607278833379114951608489910182969042472165261557405353704846967", 10) + mMatrix[1][0], _ = new(big.Int).SetString("17849615858846139011678879517964683507928512741474025695659909954675835121177", 10) + mMatrix[1][1], _ = new(big.Int).SetString("3722304780857845144568029505892077496425786544014166938942516810831732569870", 10) + mMatrix[1][2], _ = new(big.Int).SetString("20850178060552184587113773087797340350525370429749200838012809627359404457643", 10) + mMatrix[1][3], _ = new(big.Int).SetString("16058955581309173858487265533260133430557379878452348481750737813742488209262", 10) + mMatrix[2][0], _ = new(big.Int).SetString("1013663139540921998616312712475594638459213772728467613870351821911056489570", 10) + mMatrix[2][1], _ = new(big.Int).SetString("11920634922168932145084219049241528148129057802067880076377897257847125830511", 10) + mMatrix[2][2], _ = new(big.Int).SetString("7082289538076771741936674361200789891432311337766695368327626572220036527624", 10) + mMatrix[2][3], _ = new(big.Int).SetString("593311177550138061601452020934455734040559402531605836278498327468203888086", 10) + mMatrix[3][0], _ = new(big.Int).SetString("13211800058103802189838759488224684841774731021206389709687693993627918500545", 10) + mMatrix[3][1], _ = new(big.Int).SetString("6085682566123812000257211683010755099394491689511511633947011263229442977967", 10) + mMatrix[3][2], _ = new(big.Int).SetString("1787876543469562003404632310460227730887431311758627706450615128255538398187", 10) + mMatrix[3][3], _ = new(big.Int).SetString("341662423637860635938968460722645910313598807845686354625820505885069260074", 10) + pMatrix[0][0], _ = new(big.Int).SetString("16023668707004248971294664614290028914393192768609916554276071736843535714477", 10) + pMatrix[0][1], _ = new(big.Int).SetString("1219730950550419355108306775069417768387360853368230473071077119306046675572", 10) + pMatrix[0][2], _ = new(big.Int).SetString("15510244717642334318966561950951002886323209693558586261457615423770062424603", 10) + pMatrix[0][3], _ = new(big.Int).SetString("11219946567517274434615160614700308041943360069146893241486574665265822013129", 10) + pMatrix[1][0], _ = new(big.Int).SetString("17849615858846139011678879517964683507928512741474025695659909954675835121177", 10) + pMatrix[1][1], _ = new(big.Int).SetString("17895496371927328657913965415733510282704230821151428152183928968046205671575", 10) + pMatrix[1][2], _ = new(big.Int).SetString("12435993608134323226059776526130103965669300982573338632451717852485169465950", 10) + pMatrix[1][3], _ = new(big.Int).SetString("19939917978926080723093316474977996505935743392066675936804030819065420290084", 10) + pMatrix[2][0], _ = new(big.Int).SetString("1013663139540921998616312712475594638459213772728467613870351821911056489570", 10) + pMatrix[2][1], _ = new(big.Int).SetString("1028374094780216331619466080637054051304375033009771928288419347940821888279", 10) + pMatrix[2][2], _ = new(big.Int).SetString("5643605551164490740833629634586387123466682387363311974272188018328439695366", 10) + pMatrix[2][3], _ = new(big.Int).SetString("3961412593815053600853163531157674011892719679065160984658051723455387746952", 10) + pMatrix[3][0], _ = new(big.Int).SetString("13211800058103802189838759488224684841774731021206389709687693993627918500545", 10) + pMatrix[3][1], _ = new(big.Int).SetString("16436452107226347557423995353975118393704571960279031780622882419612847031696", 10) + pMatrix[3][2], _ = new(big.Int).SetString("11841890240732656097844244837012648335708695431011214021127380678644769978309", 10) + pMatrix[3][3], _ = new(big.Int).SetString("10936049757440664316304266313740303505981633272820388610540392640560764966725", 10) +} diff --git a/poseidon/poseidon_bn128_test.go b/poseidon/poseidon_bn128_test.go new file mode 100644 index 0000000..ca23023 --- /dev/null +++ b/poseidon/poseidon_bn128_test.go @@ -0,0 +1,98 @@ +package poseidon + +import ( + "testing" + + "github.com/consensys/gnark/frontend" + "github.com/consensys/gnark/test" + "github.com/succinctlabs/gnark-plonky2-verifier/field" + "github.com/succinctlabs/gnark-plonky2-verifier/utils" +) + +type TestPoseidonBN128Circuit struct { + In [spongeWidth]frontend.Variable + Out [spongeWidth]frontend.Variable +} + +func (circuit *TestPoseidonBN128Circuit) Define(api frontend.API) error { + fieldAPI := field.NewFieldAPI(api) + poseidonChip := NewPoseidonBN128Chip(api, fieldAPI) + output := poseidonChip.Poseidon(circuit.In) + + for i := 0; i < spongeWidth; i++ { + api.AssertIsEqual( + output[i], + circuit.Out[i], + ) + } + + return nil +} + +func TestPoseidonBN128(t *testing.T) { + assert := test.NewAssert(t) + + testCaseFn := func(in [spongeWidth]frontend.Variable, out [spongeWidth]frontend.Variable) { + circuit := TestPoseidonBN128Circuit{In: in, Out: out} + witness := TestPoseidonBN128Circuit{In: in, Out: out} + err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) + assert.NoError(err) + } + + testCases := [][2][]string{ + { + {"0", "0", "0", "0"}, + { + "5317387130258456662214331362918410991734007599705406860481038345552731150762", + "17768273200467269691696191901389126520069745877826494955630904743826040320364", + "19413739268543925182080121099097652227979760828059217876810647045303340666757", + "3717738800218482999400886888123026296874264026760636028937972004600663725187", + }, + }, + { + {"0", "1", "2", "3"}, + { + "6542985608222806190361240322586112750744169038454362455181422643027100751666", + "3478427836468552423396868478117894008061261013954248157992395910462939736589", + "1904980799580062506738911865015687096398867595589699208837816975692422464009", + "11971464497515232077059236682405357499403220967704831154657374522418385384151", + }, + }, + { + { + "21888242871839275222246405745257275088548364400416034343698204186575808495616", + "21888242871839275222246405745257275088548364400416034343698204186575808495616", + "21888242871839275222246405745257275088548364400416034343698204186575808495616", + "21888242871839275222246405745257275088548364400416034343698204186575808495616", + }, + { + "13055670547682322550638362580666986963569035646873545133474324633020685301274", + "19087936485076376314486368416882351797015004625427655501762827988254486144933", + "10391468779200270580383536396630001155994223659670674913170907401637624483385", + "17202557688472898583549180366140168198092766974201433936205272956998081177816", + }, + }, + { + { + "6542985608222806190361240322586112750744169038454362455181422643027100751666", + "3478427836468552423396868478117894008061261013954248157992395910462939736589", + "1904980799580062506738911865015687096398867595589699208837816975692422464009", + "11971464497515232077059236682405357499403220967704831154657374522418385384151", + }, + { + "21792249080447013894140672594027696524030291802493510986509431008224624594361", + "3536096706123550619294332177231935214243656967137545251021848527424156573335", + "14869351042206255711434675256184369368509719143073814271302931417334356905217", + "5027523131326906886284185656868809493297314443444919363729302983434650240523", + }, + }, + } + + for _, testCase := range testCases { + var in [spongeWidth]frontend.Variable + var out [spongeWidth]frontend.Variable + copy(in[:], utils.StrArrayToFrontendVariableArray(testCase[0])) + copy(out[:], utils.StrArrayToFrontendVariableArray(testCase[1])) + testCaseFn(in, out) + } +} diff --git a/poseidon/constants.go b/poseidon/poseidon_constants.go similarity index 100% rename from poseidon/constants.go rename to poseidon/poseidon_constants.go diff --git a/verifier/common/config.go b/verifier/common/config.go index c1d7179..1bc31a8 100644 --- a/verifier/common/config.go +++ b/verifier/common/config.go @@ -8,7 +8,7 @@ import ( type VerifierOnlyCircuitData struct { ConstantSigmasCap MerkleCap - CircuitDigest poseidon.Hash + CircuitDigest poseidon.PoseidonBN128HashOut } type CircuitConfig struct { diff --git a/verifier/common/types.go b/verifier/common/types.go index f1069fa..1948a33 100644 --- a/verifier/common/types.go +++ b/verifier/common/types.go @@ -5,18 +5,18 @@ import ( "github.com/succinctlabs/gnark-plonky2-verifier/poseidon" ) -type MerkleCap = []poseidon.Hash +type MerkleCap = []poseidon.PoseidonBN128HashOut func NewMerkleCap(capHeight uint64) MerkleCap { - return make([]poseidon.Hash, 1<<;>fALo}r2Lgy84u@Gcj8%x9uVFWivYzX{iNaEGd1cjEb;{0- z|Dc9`FX;8NMvz|7uXCm1aMBOLi>N(pRyK}R(hH)bo$7$7)kc@=%P487VMFzkR;FWp zGvJh*QnRu(8r9u;RqngBaaE2EcipP2?;VWCC1-Pc=jg2Y7a|q6k$RUO{lOXhA`o1m)6g-m>V?V zAZ+m=?8?GcC_=A}^Godx!ZXM%Gr$adW`JrxlnUkl)9>ql?Zgc;zzqCP21N11KWX6J zY;K*|CFNR)dW%Xze!0PE2zGQTMqf(BTc}#lE~$g)S|zXd1X-27Z-+ce80; A2LJ#7 literal 0 HcmV?d00001 diff --git a/verifier/data/recursive_step/common_circuit_data.json b/verifier/data/decode_block/common_circuit_data.json similarity index 93% rename from verifier/data/recursive_step/common_circuit_data.json rename to verifier/data/decode_block/common_circuit_data.json index 9dd8d51..d0dd0ff 100644 --- a/verifier/data/recursive_step/common_circuit_data.json +++ b/verifier/data/decode_block/common_circuit_data.json @@ -35,7 +35,7 @@ "num_query_rounds": 28 }, "hiding": false, - "degree_bits": 13, + "degree_bits": 12, "reduction_arity_bits": [ 4, 4 @@ -43,6 +43,8 @@ }, "gates": [ "NoopGate", + "ConstantGate { num_consts: 2 }", + "PoseidonMdsGate(PhantomData)", "PublicInputGate", "BaseSumGate { num_limbs: 63 } + Base: 2", "ReducingExtensionGate { num_coeffs: 33 }", @@ -50,7 +52,6 @@ "ArithmeticExtensionGate { num_ops: 10 }", "ArithmeticGate { num_ops: 20 }", "MulExtensionGate { num_ops: 13 }", - "ExponentiationGate { num_power_bits: 67, _phantom: PhantomData }", "RandomAccessGate { bits: 4, num_copies: 4, num_extra_constants: 2, _phantom: PhantomData }", "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 }", "PoseidonGate(PhantomData)" @@ -63,6 +64,7 @@ 0, 0, 0, + 0, 1, 1, 1, @@ -73,15 +75,15 @@ "groups": [ { "start": 0, - "end": 6 + "end": 7 }, { - "start": 6, - "end": 10 + "start": 7, + "end": 11 }, { - "start": 10, - "end": 12 + "start": 11, + "end": 13 } ] }, diff --git a/verifier/data/decode_block/proof_with_public_inputs.json b/verifier/data/decode_block/proof_with_public_inputs.json new file mode 100644 index 0000000..bfb35b1 --- /dev/null +++ b/verifier/data/decode_block/proof_with_public_inputs.json @@ -0,0 +1,15082 @@ +{ + "proof": { + "wires_cap": [ + "6232016528318542211523647364792867346449137823066292895075623303633330508214", + "3849229275985461680629770572508259203226163621677714310355251582693130685288", + "5987556171512366759354088598227343740440477791444099795740854232780130336082", + "8523377779888975334090507575349048869294640263235559121841789718805736414837", + "4173305429039088756536564029627250985745421317354666614089039608061166671898", + "19514742808406256372169729907222415291809011606011679387563713660256488346125", + "8519703011007005463193900985655355044586093539828702987016626948657512235078", + "13337062986664638507390757043422262298890182385759661595000247205380836291424", + "13956988298720968721248573872513053256190487207048215310365406791617256823071", + "4139118776078237399422219240136866906229498819930564462151328936368637474741", + "20010683036854145765538326917745039166608941517703057250025522185331298063240", + "16542849340693186579674885260236043503488748690860552251132996633211111581047", + "15340310232736118098606223218073833983285921571850333937460777227732109309104", + "14370557250059545670244193708996703450518439828341533154117610442161777001185", + "18844434454299441334771065219656682212700835025465734281792408139929868142021", + "19676343740377898318702605893881480074303742058989194823248293456630167789460" + ], + "plonk_zs_partial_products_cap": [ + "18630303757724954689095079665308152603926320437432442392614316813333911252124", + "1941509032097423911575973752610668722198580889286836043016771886256831254944", + "6147898094056673441182607282006528423230906496770003193057422314911254596722", + "8711744418341460096856191310559061094028644913424948320707020455945693390966", + "3170507894509162329082713944669012510679535839018490515228566075949014704871", + "9513443633020527244719737008971091746535961947215556968735061932963144145728", + "16440622144490342815400399751667969445057099157732990266662948140364680211732", + "16904904288584890809819587275120157893767917607795020298373538872373275028362", + "1322883689945010694042124537248103086068476085787048131689196755087178475099", + "3859729225679954076862546769780866075152550721517632074656261209033111218654", + "5995885491698588595978721670502011088690021401297557688057158353938846681398", + "16957177478856199232404038751327729781816109007496656232207408246975862260922", + "9422393668093911702915740702404346320943009100616501740579421944206639410155", + "15680345727093646870610240619814271686346382346107751208797654607051065248818", + "4939261448468032698521878059774016528161329965101885352386001950329280576201", + "7003946111898359335505647195128523292498498760325513092978040051648331398446" + ], + "quotient_polys_cap": [ + "3918560082526903400389798118659365477465402367561322989181693953047280669646", + "496966935842756068593963213547105605432646958081400837931911611833297095727", + "8683297895986438077633020202252074142721819824824948690853505463451806801507", + "14623770060934618886104076268225324888644340537717836901769942847173950269850", + "902377468311802642056170073282349607767917979325737018777782566011948776523", + "12124340721627925810131860890689432371048624670798932303474977401990312142398", + "21656753786114693289615694183370749990935753681953197920766927707640495235100", + "4651674172794111060599611529192263627230814664669763852917839857516619530510", + "13161231355626784301812735677481006076469384200800574341495987998366265598910", + "20853590455948262404101100028402584187982204016660952863575312077951992942329", + "742867642166478273564934628555265381154191517824405375118170559554873960389", + "17617970388755497287414457313283777609067524774358298322461931046141926005038", + 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4910166437012489060, - 9670875686931891121, - 5569206524147441284 - ] - }, - { - "elements": [ - 6965775890897127688, - 14853930701622190781, - 2643689027677976461, - 1883768007952536249 - ] - }, - { - "elements": [ - 6771363979354677578, - 6567107174924251028, - 15758449129319031800, - 6619880945043941329 - ] - } - ], - "circuit_digest": { - "elements": [ - 8574090053162898339, - 2808971464690312489, - 14807704193989191909, - 14951686172889873386 - ] - } -} diff --git a/verifier/internal/fri/fri.go b/verifier/internal/fri/fri.go index 3b9a8ea..9a1bc2f 100644 --- a/verifier/internal/fri/fri.go +++ b/verifier/internal/fri/fri.go @@ -17,9 +17,8 @@ type FriChip struct { api frontend.API `gnark:"-"` fieldAPI field.FieldAPI `gnark:"-"` qeAPI *field.QuadraticExtensionAPI `gnark:"-"` - hashAPI *poseidon.HashAPI `gnark:"-"` - poseidonChip *poseidon.PoseidonChip + poseidonBN128Chip *poseidon.PoseidonBN128Chip friParams *common.FriParams `gnark:"-"` } @@ -28,17 +27,15 @@ func NewFriChip( api frontend.API, fieldAPI field.FieldAPI, qeAPI *field.QuadraticExtensionAPI, - hashAPI *poseidon.HashAPI, - poseidonChip *poseidon.PoseidonChip, + poseidonBN128Chip *poseidon.PoseidonBN128Chip, friParams *common.FriParams, ) *FriChip { return &FriChip{ - api: api, - fieldAPI: fieldAPI, - qeAPI: qeAPI, - hashAPI: hashAPI, - poseidonChip: poseidonChip, - friParams: friParams, + api: api, + fieldAPI: fieldAPI, + qeAPI: qeAPI, + poseidonBN128Chip: poseidonBN128Chip, + friParams: friParams, } } @@ -63,66 +60,15 @@ func (f *FriChip) fromOpeningsAndAlpha(openings *FriOpenings, alpha field.Quadra return reducedOpenings } -func (f *FriChip) hashOrNoop(data []field.F) poseidon.Hash { - var elements poseidon.Hash - if len(data) <= 4 { - // Pad the data to have a size of 4 - for i, inputElement := range data { - elements[i] = inputElement - } - for i := len(data); i < 4; i++ { - elements[i] = field.ZERO_F - } - - return elements - } else { - hashOutput := f.poseidonChip.HashNToMNoPad(data, 4) - - if len(hashOutput) != len(elements) { - panic("The length of hashOutput and elements is different") - } - - for i, hashField := range hashOutput { - elements[i] = hashField - } - - return elements - } -} - func (f *FriChip) verifyMerkleProofToCapWithCapIndex(leafData []field.F, leafIndexBits []frontend.Variable, capIndexBits []frontend.Variable, merkleCap common.MerkleCap, proof *common.MerkleProof) { - currentDigest := f.hashOrNoop(leafData) - fourZeros := [4]field.F{field.ZERO_F, field.ZERO_F, field.ZERO_F, field.ZERO_F} + currentDigest := f.poseidonBN128Chip.HashOrNoop(leafData) for i, sibling := range proof.Siblings { bit := leafIndexBits[i] - - var leftSiblingState poseidon.PoseidonState - copy(leftSiblingState[0:4], sibling[0:4]) - copy(leftSiblingState[4:8], currentDigest[0:4]) - copy(leftSiblingState[8:12], fourZeros[0:4]) - - leftHash := f.poseidonChip.Poseidon(leftSiblingState) - - var leftHashCompress poseidon.Hash - leftHashCompress[0] = leftHash[0] - leftHashCompress[1] = leftHash[1] - leftHashCompress[2] = leftHash[2] - leftHashCompress[3] = leftHash[3] - - var rightSiblingState poseidon.PoseidonState - copy(rightSiblingState[0:4], currentDigest[0:4]) - copy(rightSiblingState[4:8], sibling[0:4]) - copy(rightSiblingState[8:12], fourZeros[0:4]) - - rightHash := f.poseidonChip.Poseidon(rightSiblingState) - - var rightHashCompress poseidon.Hash - rightHashCompress[0] = rightHash[0] - rightHashCompress[1] = rightHash[1] - rightHashCompress[2] = rightHash[2] - rightHashCompress[3] = rightHash[3] - - currentDigest = f.hashAPI.SelectHash(bit, leftHashCompress, rightHashCompress) + // TODO: Don't need to do two hashes by using a trick that the plonky2 verifier circuit does + // https://github.com/mir-protocol/plonky2/blob/973624f12d2d12d74422b3ea051358b9eaacb050/plonky2/src/gates/poseidon.rs#L298 + leftHash := f.poseidonBN128Chip.TwoToOne(sibling, currentDigest) + rightHash := f.poseidonBN128Chip.TwoToOne(currentDigest, sibling) + currentDigest = f.api.Select(bit, leftHash, rightHash) } // We assume that the cap_height is 4. Create two levels of the Lookup2 circuit @@ -136,19 +82,19 @@ func (f *FriChip) verifyMerkleProofToCapWithCapIndex(leafData []field.F, leafInd } const NUM_LEAF_LOOKUPS = 4 - var leafLookups [NUM_LEAF_LOOKUPS]poseidon.Hash + var leafLookups [NUM_LEAF_LOOKUPS]poseidon.PoseidonBN128HashOut // First create the "leaf" lookup2 circuits // The will use the least significant bits of the capIndexBits array for i := 0; i < NUM_LEAF_LOOKUPS; i++ { - leafLookups[i] = f.hashAPI.Lookup2Hash( + leafLookups[i] = f.api.Lookup2( capIndexBits[0], capIndexBits[1], merkleCap[i*NUM_LEAF_LOOKUPS], merkleCap[i*NUM_LEAF_LOOKUPS+1], merkleCap[i*NUM_LEAF_LOOKUPS+2], merkleCap[i*NUM_LEAF_LOOKUPS+3], ) } // Use the most 2 significant bits of the capIndexBits array for the "root" lookup - merkleCapEntry := f.hashAPI.Lookup2Hash(capIndexBits[2], capIndexBits[3], leafLookups[0], leafLookups[1], leafLookups[2], leafLookups[3]) - f.hashAPI.AssertIsEqualHash(currentDigest, merkleCapEntry) + merkleCapEntry := f.api.Lookup2(capIndexBits[2], capIndexBits[3], leafLookups[0], leafLookups[1], leafLookups[2], leafLookups[3]) + f.api.AssertIsEqual(currentDigest, merkleCapEntry) } func (f *FriChip) verifyInitialProof(xIndexBits []frontend.Variable, proof *common.FriInitialTreeProof, initialMerkleCaps []common.MerkleCap, capIndexBits []frontend.Variable) { @@ -422,7 +368,8 @@ func (f *FriChip) verifyQueryRound( roundProof *common.FriQueryRound, ) { f.assertNoncanonicalIndicesOK() - xIndexBits := f.fieldAPI.ToBits(xIndex) + xIndex = f.fieldAPI.Reduce(xIndex) + xIndexBits := f.fieldAPI.ToBits(xIndex)[0 : f.friParams.DegreeBits+f.friParams.Config.RateBits] capIndexBits := xIndexBits[len(xIndexBits)-int(f.friParams.Config.CapHeight):] f.verifyInitialProof(xIndexBits, &roundProof.InitialTreesProof, initialMerkleCaps, capIndexBits) diff --git a/verifier/internal/fri/fri_test.go b/verifier/internal/fri/fri_test.go index ffbf262..20006a8 100644 --- a/verifier/internal/fri/fri_test.go +++ b/verifier/internal/fri/fri_test.go @@ -9,6 +9,7 @@ import ( "github.com/succinctlabs/gnark-plonky2-verifier/poseidon" "github.com/succinctlabs/gnark-plonky2-verifier/verifier/common" "github.com/succinctlabs/gnark-plonky2-verifier/verifier/internal/fri" + "github.com/succinctlabs/gnark-plonky2-verifier/verifier/internal/plonk" "github.com/succinctlabs/gnark-plonky2-verifier/verifier/utils" ) @@ -16,12 +17,6 @@ type TestFriCircuit struct { proofWithPIsFilename string `gnark:"-"` commonCircuitDataFilename string `gnark:"-"` verifierOnlyCircuitDataFilename string `gnark:"-"` - - PlonkZeta field.QuadraticExtension - FriAlpha field.QuadraticExtension - FriBetas []field.QuadraticExtension - FriPOWResponse field.F - FriQueryIndices []field.F } func (circuit *TestFriCircuit) Define(api frontend.API) error { @@ -31,16 +26,44 @@ func (circuit *TestFriCircuit) Define(api frontend.API) error { fieldAPI := field.NewFieldAPI(api) qeAPI := field.NewQuadraticExtensionAPI(api, fieldAPI, commonCircuitData.DegreeBits) - hashAPI := poseidon.NewHashAPI(fieldAPI) poseidonChip := poseidon.NewPoseidonChip(api, fieldAPI, qeAPI) - friChip := fri.NewFriChip(api, fieldAPI, qeAPI, hashAPI, poseidonChip, &commonCircuitData.FriParams) + poseidonBN128Chip := poseidon.NewPoseidonBN128Chip(api, fieldAPI) + friChip := fri.NewFriChip(api, fieldAPI, qeAPI, poseidonBN128Chip, &commonCircuitData.FriParams) + challengerChip := plonk.NewChallengerChip(api, fieldAPI, poseidonChip, poseidonBN128Chip) + + challengerChip.ObserveBN128Hash(verifierOnlyCircuitData.CircuitDigest) + challengerChip.ObserveHash(poseidonChip.HashNoPad(proofWithPis.PublicInputs)) + challengerChip.ObserveCap(proofWithPis.Proof.WiresCap) + plonkBetas := challengerChip.GetNChallenges(commonCircuitData.Config.NumChallenges) // For plonk betas + fieldAPI.AssertIsEqual(plonkBetas[0], field.NewFieldConst(17615363392879944733)) + plonkGammas := challengerChip.GetNChallenges(commonCircuitData.Config.NumChallenges) // For plonk gammas + fieldAPI.AssertIsEqual(plonkGammas[0], field.NewFieldConst(15174493176564484303)) + + challengerChip.ObserveCap(proofWithPis.Proof.PlonkZsPartialProductsCap) + plonkAlphas := challengerChip.GetNChallenges(commonCircuitData.Config.NumChallenges) // For plonk alphas + fieldAPI.AssertIsEqual(plonkAlphas[0], field.NewFieldConst(9276470834414745550)) + + challengerChip.ObserveCap(proofWithPis.Proof.QuotientPolysCap) + plonkZeta := challengerChip.GetExtensionChallenge() + fieldAPI.AssertIsEqual(plonkZeta[0], field.NewFieldConst(3892795992421241388)) + + challengerChip.ObserveOpenings(fri.ToFriOpenings(proofWithPis.Proof.Openings)) + + friChallenges := challengerChip.GetFriChallenges( + proofWithPis.Proof.OpeningProof.CommitPhaseMerkleCaps, + proofWithPis.Proof.OpeningProof.FinalPoly, + proofWithPis.Proof.OpeningProof.PowWitness, + commonCircuitData.DegreeBits, + commonCircuitData.Config.FriConfig, + ) - friChallenges := common.FriChallenges{ - FriAlpha: circuit.FriAlpha, - FriBetas: circuit.FriBetas, - FriPowResponse: circuit.FriPOWResponse, - FriQueryIndices: circuit.FriQueryIndices, - } + fieldAPI.AssertIsEqual(friChallenges.FriAlpha[0], field.NewFieldConst(885535811531859621)) + + fieldAPI.AssertIsEqual(friChallenges.FriBetas[0][0], field.NewFieldConst(5231781384587895507)) + + fieldAPI.AssertIsEqual(friChallenges.FriPowResponse, field.NewFieldConst(70715523064019)) + + fieldAPI.AssertIsEqual(friChallenges.FriQueryIndices[0], field.NewFieldConst(11890500485816111017)) initialMerkleCaps := []common.MerkleCap{ verifierOnlyCircuitData.ConstantSigmasCap, @@ -49,8 +72,27 @@ func (circuit *TestFriCircuit) Define(api frontend.API) error { proofWithPis.Proof.QuotientPolysCap, } + // Seems like there is a bug in the emulated field code. + // Add ZERO to all of the fri challenges values to reduce them. + plonkZeta[0] = fieldAPI.Add(plonkZeta[0], field.ZERO_F) + plonkZeta[1] = fieldAPI.Add(plonkZeta[1], field.ZERO_F) + + friChallenges.FriAlpha[0] = fieldAPI.Add(friChallenges.FriAlpha[0], field.ZERO_F) + friChallenges.FriAlpha[1] = fieldAPI.Add(friChallenges.FriAlpha[1], field.ZERO_F) + + for i := 0; i < len(friChallenges.FriBetas); i++ { + friChallenges.FriBetas[i][0] = fieldAPI.Add(friChallenges.FriBetas[i][0], field.ZERO_F) + friChallenges.FriBetas[i][1] = fieldAPI.Add(friChallenges.FriBetas[i][1], field.ZERO_F) + } + + friChallenges.FriPowResponse = fieldAPI.Add(friChallenges.FriPowResponse, field.ZERO_F) + + for i := 0; i < len(friChallenges.FriQueryIndices); i++ { + friChallenges.FriQueryIndices[i] = fieldAPI.Add(friChallenges.FriQueryIndices[i], field.ZERO_F) + } + friChip.VerifyFriProof( - fri.GetFriInstance(&commonCircuitData, qeAPI, circuit.PlonkZeta, commonCircuitData.DegreeBits), + fri.GetFriInstance(&commonCircuitData, qeAPI, plonkZeta, commonCircuitData.DegreeBits), fri.ToFriOpenings(proofWithPis.Proof.Openings), &friChallenges, initialMerkleCaps, @@ -60,182 +102,19 @@ func (circuit *TestFriCircuit) Define(api frontend.API) error { return nil } -func TestFibonacciFriProof(t *testing.T) { +func TestDecodeBlockFriVerification(t *testing.T) { assert := test.NewAssert(t) testCase := func() { circuit := TestFriCircuit{ - proofWithPIsFilename: "./data/fibonacci/proof_with_public_inputs.json", - commonCircuitDataFilename: "./data/fibonacci/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "./data/fibonacci/verifier_only_circuit_data.json", - PlonkZeta: field.QuadraticExtension{ - field.NewFieldConstFromString("14887793628029982930"), - field.NewFieldConstFromString("1136137158284059037"), - }, - FriAlpha: field.QuadraticExtension{ - field.NewFieldConstFromString("14641715242626918707"), - field.NewFieldConstFromString("10574243340537902930"), - }, - FriBetas: []field.QuadraticExtension{}, - FriPOWResponse: field.NewFieldConst(82451580476419), - FriQueryIndices: []field.F{ - field.NewFieldConst(6790812084677375942), - field.NewFieldConst(12394212020331474798), - field.NewFieldConst(16457600747000998582), - field.NewFieldConst(1543271328932331916), - field.NewFieldConst(12115726870906958644), - field.NewFieldConst(6775897107605342797), - field.NewFieldConst(15989401564746021030), - field.NewFieldConst(10691676456016926845), - field.NewFieldConst(1632499470630032007), - field.NewFieldConst(1317292355445098328), - field.NewFieldConst(18391440812534384252), - field.NewFieldConst(17321705613231354333), - field.NewFieldConst(6176487551308859603), - field.NewFieldConst(7119835651572002873), - field.NewFieldConst(3903019169623116693), - field.NewFieldConst(4886491111111487546), - field.NewFieldConst(4087641893164620518), - field.NewFieldConst(13801643080324181364), - field.NewFieldConst(16993775312274189321), - field.NewFieldConst(9268202926222765679), - field.NewFieldConst(10683001302406181735), - field.NewFieldConst(13359465725531647963), - field.NewFieldConst(4523327590105620849), - field.NewFieldConst(4883588003760409588), - field.NewFieldConst(187699146998097671), - field.NewFieldConst(14489263557623716717), - field.NewFieldConst(11748359318238148146), - field.NewFieldConst(13636347200053048758), - }, - } - witness := TestFriCircuit{} - err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} - -func TestDummyFriProof(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestFriCircuit{ - proofWithPIsFilename: "../../data/dummy_2^14_gates/proof_with_public_inputs.json", - commonCircuitDataFilename: "../../data/dummy_2^14_gates/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "../../data/dummy_2^14_gates/verifier_only_circuit_data.json", - PlonkZeta: field.QuadraticExtension{ - field.NewFieldConstFromString("17377750363769967882"), - field.NewFieldConstFromString("11921191651424768462"), - }, - FriAlpha: field.QuadraticExtension{ - field.NewFieldConstFromString("16721004555774385479"), - field.NewFieldConstFromString("10688151135543754663"), - }, - FriBetas: []field.QuadraticExtension{ - { - field.NewFieldConstFromString("3312441922957827805"), - field.NewFieldConstFromString("15128092514958289671"), - }, - { - field.NewFieldConstFromString("13630530769060141802"), - field.NewFieldConstFromString("14559883974933163008"), - }, - { - field.NewFieldConstFromString("16146508250083930687"), - field.NewFieldConstFromString("5176346568444408396"), - }, - }, - FriPOWResponse: field.NewFieldConst(4389), - FriQueryIndices: []field.F{ - field.NewFieldConstFromString("16334967868590615051"), - field.NewFieldConstFromString("2911473540496037915"), - field.NewFieldConstFromString("14887216056886344225"), - field.NewFieldConstFromString("7808811227805914295"), - field.NewFieldConstFromString("2018594961417375749"), - field.NewFieldConstFromString("3733368398777208435"), - field.NewFieldConstFromString("2623035669037055104"), - field.NewFieldConstFromString("299243030573481514"), - field.NewFieldConstFromString("7189789717962704433"), - field.NewFieldConstFromString("14566344026886816268"), - field.NewFieldConstFromString("12555390069003437453"), - field.NewFieldConstFromString("17225508403199418233"), - field.NewFieldConstFromString("5088797913879903292"), - field.NewFieldConstFromString("9715691392773433023"), - field.NewFieldConstFromString("7565836764713256165"), - field.NewFieldConstFromString("1500143546029322929"), - field.NewFieldConstFromString("1245802417104422080"), - field.NewFieldConstFromString("6831959786661245110"), - field.NewFieldConstFromString("17271054758535453780"), - field.NewFieldConstFromString("6225460404576395409"), - field.NewFieldConstFromString("15932661092896277351"), - field.NewFieldConstFromString("12452534049198240575"), - field.NewFieldConstFromString("4225199666055520177"), - field.NewFieldConstFromString("13235091290587791090"), - field.NewFieldConstFromString("2562357622728700774"), - field.NewFieldConstFromString("17676678042980201498"), - field.NewFieldConstFromString("5837067135702409874"), - field.NewFieldConstFromString("11238419549114325157"), - }, + proofWithPIsFilename: "../../data/decode_block/proof_with_public_inputs.json", + commonCircuitDataFilename: "../../data/decode_block//common_circuit_data.json", + verifierOnlyCircuitDataFilename: "../../data/decode_block//verifier_only_circuit_data.json", } witness := TestFriCircuit{ proofWithPIsFilename: "../../data/dummy_2^14_gates/proof_with_public_inputs.json", commonCircuitDataFilename: "../../data/dummy_2^14_gates/common_circuit_data.json", verifierOnlyCircuitDataFilename: ".../../data/dummy_2^14_gates/verifier_only_circuit_data.json", - PlonkZeta: field.QuadraticExtension{ - field.NewFieldConstFromString("17377750363769967882"), - field.NewFieldConstFromString("11921191651424768462"), - }, - FriAlpha: field.QuadraticExtension{ - field.NewFieldConstFromString("16721004555774385479"), - field.NewFieldConstFromString("10688151135543754663"), - }, - FriBetas: []field.QuadraticExtension{ - { - field.NewFieldConstFromString("3312441922957827805"), - field.NewFieldConstFromString("15128092514958289671"), - }, - { - field.NewFieldConstFromString("13630530769060141802"), - field.NewFieldConstFromString("14559883974933163008"), - }, - { - field.NewFieldConstFromString("16146508250083930687"), - field.NewFieldConstFromString("5176346568444408396"), - }, - }, - FriPOWResponse: field.NewFieldConst(4389), - FriQueryIndices: []field.F{ - field.NewFieldConstFromString("16334967868590615051"), - field.NewFieldConstFromString("2911473540496037915"), - field.NewFieldConstFromString("14887216056886344225"), - field.NewFieldConstFromString("7808811227805914295"), - field.NewFieldConstFromString("2018594961417375749"), - field.NewFieldConstFromString("3733368398777208435"), - field.NewFieldConstFromString("2623035669037055104"), - field.NewFieldConstFromString("299243030573481514"), - field.NewFieldConstFromString("7189789717962704433"), - field.NewFieldConstFromString("14566344026886816268"), - field.NewFieldConstFromString("12555390069003437453"), - field.NewFieldConstFromString("17225508403199418233"), - field.NewFieldConstFromString("5088797913879903292"), - field.NewFieldConstFromString("9715691392773433023"), - field.NewFieldConstFromString("7565836764713256165"), - field.NewFieldConstFromString("1500143546029322929"), - field.NewFieldConstFromString("1245802417104422080"), - field.NewFieldConstFromString("6831959786661245110"), - field.NewFieldConstFromString("17271054758535453780"), - field.NewFieldConstFromString("6225460404576395409"), - field.NewFieldConstFromString("15932661092896277351"), - field.NewFieldConstFromString("12452534049198240575"), - field.NewFieldConstFromString("4225199666055520177"), - field.NewFieldConstFromString("13235091290587791090"), - field.NewFieldConstFromString("2562357622728700774"), - field.NewFieldConstFromString("17676678042980201498"), - field.NewFieldConstFromString("5837067135702409874"), - field.NewFieldConstFromString("11238419549114325157"), - }, } err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) assert.NoError(err) diff --git a/verifier/internal/gates/gate.go b/verifier/internal/gates/gate.go index 4d486e7..5310f5a 100644 --- a/verifier/internal/gates/gate.go +++ b/verifier/internal/gates/gate.go @@ -23,6 +23,7 @@ var gateRegexHandlers = map[*regexp.Regexp]func(parameters map[string]string) Ga mulExtensionGateRegex: deserializeMulExtensionGate, noopGateRegex: deserializeNoopGate, poseidonGateRegex: deserializePoseidonGate, + poseidonMdsGateRegex: deserializePoseidonMdsGate, publicInputGateRegex: deserializePublicInputGate, randomAccessGateRegex: deserializeRandomAccessGate, reducingExtensionGateRegex: deserializeReducingExtensionGate, diff --git a/verifier/internal/gates/gate_test.go b/verifier/internal/gates/gate_test.go index e9a33b3..126a038 100644 --- a/verifier/internal/gates/gate_test.go +++ b/verifier/internal/gates/gate_test.go @@ -15,711 +15,667 @@ import ( // From recursive_step circuit var localConstants = []field.QuadraticExtension{ - {field.NewFieldConst(1164933405384298079), field.NewFieldConst(7438400583921661370)}, - {field.NewFieldConst(13151230530771189075), field.NewFieldConst(13023721207846057894)}, - {field.NewFieldConst(3881971040049882570), field.NewFieldConst(16581297326342691797)}, - {field.NewFieldConst(5184944824742294361), field.NewFieldConst(4925002013441838394)}, - {field.NewFieldConst(13156856690013129271), field.NewFieldConst(11795766134230417198)}, + {field.NewFieldConst(4962976205186800892), field.NewFieldConst(6982360466972099197)}, + {field.NewFieldConst(3587364333101709084), field.NewFieldConst(17496916837371484700)}, + {field.NewFieldConst(17287374881609559799), field.NewFieldConst(3152841633956965234)}, + {field.NewFieldConst(8531030241248616826), field.NewFieldConst(7753678118587211959)}, + {field.NewFieldConst(7622109056373824903), field.NewFieldConst(6523636236475969621)}, } var localWires = []field.QuadraticExtension{ - {field.NewFieldConst(10289971018233574142), field.NewFieldConst(4567684908222573778)}, - {field.NewFieldConst(11564178579868812087), field.NewFieldConst(4510091545046358953)}, - {field.NewFieldConst(2427374067806073277), field.NewFieldConst(6911441533263492425)}, - {field.NewFieldConst(7693977127287585254), field.NewFieldConst(9885192257977663560)}, - {field.NewFieldConst(4829743769894031521), field.NewFieldConst(1070322096310857911)}, - {field.NewFieldConst(841614584488095356), field.NewFieldConst(3266720090708573245)}, - {field.NewFieldConst(9335841732020668562), field.NewFieldConst(7959135654284183511)}, - {field.NewFieldConst(16824107175117300959), field.NewFieldConst(14823581113270528881)}, - {field.NewFieldConst(4989727169526686805), field.NewFieldConst(6246956987038299573)}, - {field.NewFieldConst(17410065909497815114), field.NewFieldConst(226319705525892670)}, - {field.NewFieldConst(4568933895769710275), field.NewFieldConst(6430695446169305195)}, - {field.NewFieldConst(8067075753959020505), field.NewFieldConst(6018662820882606998)}, - {field.NewFieldConst(9927277077277524164), field.NewFieldConst(12530942893897967446)}, - {field.NewFieldConst(404931240594605346), field.NewFieldConst(13956134990453188947)}, - {field.NewFieldConst(12279755093013597997), field.NewFieldConst(13891866662848929655)}, - {field.NewFieldConst(3995291408937855383), field.NewFieldConst(7649506537726031013)}, - {field.NewFieldConst(1975344541433284175), field.NewFieldConst(11787783246524974192)}, - {field.NewFieldConst(9352725388265956899), field.NewFieldConst(1878641993746760905)}, - {field.NewFieldConst(4386025806925594020), field.NewFieldConst(7199468962263347888)}, - {field.NewFieldConst(457758515510439949), field.NewFieldConst(8295940174808817473)}, - {field.NewFieldConst(3721711968672629644), field.NewFieldConst(13268744315779792869)}, - {field.NewFieldConst(14873968601320376905), field.NewFieldConst(14469960382794471278)}, - {field.NewFieldConst(16643239035786323413), field.NewFieldConst(14266572255541493756)}, - {field.NewFieldConst(9756649839930289884), field.NewFieldConst(14084246204123262540)}, - {field.NewFieldConst(805087434192149117), field.NewFieldConst(5551650411462295908)}, - {field.NewFieldConst(3121050229008788536), field.NewFieldConst(315617444959225213)}, - {field.NewFieldConst(18164560008695666572), field.NewFieldConst(6915918288299894752)}, - {field.NewFieldConst(17656666988744688487), field.NewFieldConst(9787463123892858839)}, - {field.NewFieldConst(9992120570629943241), field.NewFieldConst(18182369503102252267)}, - {field.NewFieldConst(15220763248754170044), field.NewFieldConst(1854765527825350374)}, - {field.NewFieldConst(15616805521198580886), field.NewFieldConst(8948185005335797211)}, - {field.NewFieldConst(5104021995850318050), field.NewFieldConst(10884053699840350390)}, - {field.NewFieldConst(14387430073456386871), field.NewFieldConst(3987323970221931246)}, - {field.NewFieldConst(9295222033249226038), field.NewFieldConst(14533816739722288989)}, - {field.NewFieldConst(3054662272834320691), field.NewFieldConst(5799349468053737645)}, - {field.NewFieldConst(15410493100888282738), field.NewFieldConst(9030544573372043855)}, - {field.NewFieldConst(11448080360124361095), field.NewFieldConst(13429854637967689056)}, - {field.NewFieldConst(4779070979822400436), field.NewFieldConst(5404234368643419051)}, - {field.NewFieldConst(11659320767511898018), field.NewFieldConst(13702970547443564662)}, - {field.NewFieldConst(16340059712300851313), field.NewFieldConst(20171293486753699)}, - {field.NewFieldConst(1475826372470535678), field.NewFieldConst(1253469117109386509)}, - {field.NewFieldConst(7562163184139742598), field.NewFieldConst(14347739950500988111)}, - {field.NewFieldConst(15976520527988523610), field.NewFieldConst(17889280665602982933)}, - {field.NewFieldConst(8598539842276402160), field.NewFieldConst(2411306720494404310)}, - {field.NewFieldConst(15713704960139943242), field.NewFieldConst(16396602336341678687)}, - {field.NewFieldConst(7189190822731370344), field.NewFieldConst(5963822095937242833)}, - {field.NewFieldConst(5977752474999875040), field.NewFieldConst(5328103649776423975)}, - {field.NewFieldConst(12531991299101111394), field.NewFieldConst(3159886804356965397)}, - {field.NewFieldConst(16883082502877021850), field.NewFieldConst(4442238822519720348)}, - {field.NewFieldConst(4348679245531311390), field.NewFieldConst(6663472094175428592)}, - {field.NewFieldConst(7628612474113215133), field.NewFieldConst(9324555027165483004)}, - {field.NewFieldConst(1900695998785588032), field.NewFieldConst(12588745891116448183)}, - {field.NewFieldConst(2202928383842031597), field.NewFieldConst(2024867731300461655)}, - {field.NewFieldConst(9288136643086730543), field.NewFieldConst(4131544415785473139)}, - {field.NewFieldConst(14704106408467038509), field.NewFieldConst(8573856691828273)}, - {field.NewFieldConst(10154176515490297025), field.NewFieldConst(9220235036944332858)}, - {field.NewFieldConst(11339644645342271702), field.NewFieldConst(2591119884720569491)}, - {field.NewFieldConst(12952838693708363443), field.NewFieldConst(7634778748701478612)}, - {field.NewFieldConst(4151157005304656172), field.NewFieldConst(16778323503511515227)}, - {field.NewFieldConst(6326750425597671757), field.NewFieldConst(2556963653256638700)}, - {field.NewFieldConst(10167058989235599247), field.NewFieldConst(8755493046703376087)}, - {field.NewFieldConst(9610925836484089978), field.NewFieldConst(15994816336634155710)}, - {field.NewFieldConst(4153283843312210367), field.NewFieldConst(14936117891656525941)}, - {field.NewFieldConst(2708678512120193106), field.NewFieldConst(13963185898630435716)}, - {field.NewFieldConst(6555777227864205496), field.NewFieldConst(796547906377203466)}, - {field.NewFieldConst(9137905566620576524), field.NewFieldConst(5424975077133394401)}, - {field.NewFieldConst(10344710254569827655), field.NewFieldConst(5782463375043965385)}, - {field.NewFieldConst(5971898539021849982), field.NewFieldConst(8119512366912747083)}, - {field.NewFieldConst(10858355567899666102), field.NewFieldConst(18000616751093068478)}, - {field.NewFieldConst(16920330711313364238), field.NewFieldConst(8697067496869918100)}, - {field.NewFieldConst(7000103501288736536), field.NewFieldConst(10889037926963847627)}, - {field.NewFieldConst(2293930382336564785), field.NewFieldConst(1991911172589808532)}, - {field.NewFieldConst(16325792322333215740), field.NewFieldConst(10408910622457883954)}, - {field.NewFieldConst(7503118294246863546), field.NewFieldConst(3698311130768729720)}, - {field.NewFieldConst(8086040183115185263), field.NewFieldConst(5047183760990874466)}, - {field.NewFieldConst(9862182807054696027), field.NewFieldConst(1177341139111149965)}, - {field.NewFieldConst(16001172854107018622), field.NewFieldConst(10666261425617835543)}, - {field.NewFieldConst(5580184714347609844), field.NewFieldConst(12694115766192868759)}, - {field.NewFieldConst(18281558831138544975), field.NewFieldConst(3361626347282823513)}, - {field.NewFieldConst(3031997905089686532), field.NewFieldConst(15324883672435732043)}, - {field.NewFieldConst(450952121891526527), field.NewFieldConst(3760645720813651878)}, - {field.NewFieldConst(12802993704800176346), field.NewFieldConst(5762382859373230998)}, - {field.NewFieldConst(3276893202573968613), field.NewFieldConst(1800240087286854287)}, - {field.NewFieldConst(5921423446901282771), field.NewFieldConst(1701259673949139858)}, - {field.NewFieldConst(9599792256793291230), field.NewFieldConst(14953029539933413769)}, - {field.NewFieldConst(6924230983683680937), field.NewFieldConst(11341266871925411757)}, - {field.NewFieldConst(7369845262101528427), field.NewFieldConst(14511942995651504957)}, - {field.NewFieldConst(3575537879709813183), field.NewFieldConst(8500642062708926725)}, - {field.NewFieldConst(4175897998808440429), field.NewFieldConst(3374384071922541929)}, - {field.NewFieldConst(12757283027846003446), field.NewFieldConst(17905830097386863938)}, - {field.NewFieldConst(6320876143845688240), field.NewFieldConst(11931531275984972701)}, - {field.NewFieldConst(18217933064159243751), field.NewFieldConst(10071176713368801471)}, - {field.NewFieldConst(4777714881679002884), field.NewFieldConst(11864655235286620829)}, - {field.NewFieldConst(5051586433049660820), field.NewFieldConst(9706334979530647226)}, - {field.NewFieldConst(10142518025690185130), field.NewFieldConst(11625111857426302867)}, - {field.NewFieldConst(12942439955200094763), field.NewFieldConst(12974281474830386034)}, - {field.NewFieldConst(12714064210006754841), field.NewFieldConst(10541770037347437502)}, - {field.NewFieldConst(10048643184275048639), field.NewFieldConst(3986690477062097502)}, - {field.NewFieldConst(1705165528883143091), field.NewFieldConst(15274852618321664478)}, - {field.NewFieldConst(7505339430009963451), field.NewFieldConst(15833594687115464439)}, - {field.NewFieldConst(14969085142351848679), field.NewFieldConst(1313378114647584372)}, - {field.NewFieldConst(13860248504174697653), field.NewFieldConst(11813005399232850289)}, - {field.NewFieldConst(251943684565772115), field.NewFieldConst(7573719044708266257)}, - {field.NewFieldConst(3106490314923518751), field.NewFieldConst(6708785325259176544)}, - {field.NewFieldConst(16356137633407478618), field.NewFieldConst(10204772059332988569)}, - {field.NewFieldConst(6854820980459043959), field.NewFieldConst(15547517301904265885)}, - {field.NewFieldConst(11272546272005349344), field.NewFieldConst(13048057766361438654)}, - {field.NewFieldConst(1292326010164513793), field.NewFieldConst(3884499312974286465)}, - {field.NewFieldConst(13766861546348177296), field.NewFieldConst(16189793227494584882)}, - {field.NewFieldConst(17409073821234659314), field.NewFieldConst(9981103842753464857)}, - {field.NewFieldConst(9704863891305672730), field.NewFieldConst(6734589298170331622)}, - {field.NewFieldConst(12730115352516859625), field.NewFieldConst(7184752625986384624)}, - {field.NewFieldConst(11668345947294231238), field.NewFieldConst(16115042113565080691)}, - {field.NewFieldConst(14062084624592649794), field.NewFieldConst(2756332865729973692)}, - {field.NewFieldConst(3748768277402965633), field.NewFieldConst(16866814743891506413)}, - {field.NewFieldConst(10432481590948249422), field.NewFieldConst(16082227217718892532)}, - {field.NewFieldConst(491495918184990934), field.NewFieldConst(6356796615401236136)}, - {field.NewFieldConst(17901902629808882123), field.NewFieldConst(13514738065473981771)}, - {field.NewFieldConst(12660442011781098101), field.NewFieldConst(6869178288883388452)}, - {field.NewFieldConst(4393627135520874514), field.NewFieldConst(18356603129965580261)}, - {field.NewFieldConst(677707009508889751), field.NewFieldConst(12680875774839515608)}, - {field.NewFieldConst(10378933644525583340), field.NewFieldConst(13309450528739048419)}, - {field.NewFieldConst(17340442394158194152), field.NewFieldConst(2264038306172498436)}, - {field.NewFieldConst(3370239755875426470), field.NewFieldConst(16608802578078035004)}, - {field.NewFieldConst(10934853199725686361), field.NewFieldConst(16013313141655891901)}, - {field.NewFieldConst(13594205540632772459), field.NewFieldConst(2004743885124905326)}, - {field.NewFieldConst(2746704624744404227), field.NewFieldConst(16776409524391586509)}, - {field.NewFieldConst(3958873682280414366), field.NewFieldConst(1600073271711289868)}, - {field.NewFieldConst(2428249869256780385), field.NewFieldConst(4540186883415041033)}, - {field.NewFieldConst(11471613891518396403), field.NewFieldConst(12378090703999608437)}, - {field.NewFieldConst(2473054093631985558), field.NewFieldConst(6016173170699559864)}, - {field.NewFieldConst(5753078745189531749), field.NewFieldConst(7917608537613216175)}, - {field.NewFieldConst(8855440271433298214), field.NewFieldConst(16093723431433530090)}, - {field.NewFieldConst(18386320557740714138), field.NewFieldConst(8240697133069742104)}, - {field.NewFieldConst(15199992048380262587), field.NewFieldConst(2301519535136472331)}, - {field.NewFieldConst(5102771513133979026), field.NewFieldConst(12570336536575987923)}, + {field.NewFieldConst(5101665081776077058), field.NewFieldConst(13601771238484783081)}, + {field.NewFieldConst(13763997788502656587), field.NewFieldConst(6068443864169526207)}, + {field.NewFieldConst(10492880302699453810), field.NewFieldConst(11304418575668616669)}, + {field.NewFieldConst(2175168501339052813), field.NewFieldConst(3658211467579027796)}, + {field.NewFieldConst(11342710587435471757), field.NewFieldConst(658078906333318768)}, + {field.NewFieldConst(16590262768413671742), field.NewFieldConst(4678191900868819358)}, + {field.NewFieldConst(18412513594273328173), field.NewFieldConst(3981245463942959904)}, + {field.NewFieldConst(18150166316938544267), field.NewFieldConst(6968565044901838140)}, + {field.NewFieldConst(1048835939602984673), field.NewFieldConst(3511920575130606798)}, + {field.NewFieldConst(13693300152826538654), field.NewFieldConst(5872314861500881782)}, + {field.NewFieldConst(6394696263219721312), field.NewFieldConst(92364988976021720)}, + {field.NewFieldConst(468193345380249942), field.NewFieldConst(4951036536117371576)}, + {field.NewFieldConst(9660006729985637684), field.NewFieldConst(14762789799642492635)}, + {field.NewFieldConst(10091149087332313493), field.NewFieldConst(13279468039286967053)}, + {field.NewFieldConst(12007469191150580744), field.NewFieldConst(2495445179052731885)}, + {field.NewFieldConst(14225726459587943147), field.NewFieldConst(13484648741862607201)}, + {field.NewFieldConst(15365400400136175672), field.NewFieldConst(12227857303059870833)}, + {field.NewFieldConst(1717742269682481687), field.NewFieldConst(14319701537357602192)}, + {field.NewFieldConst(2130805637557027375), field.NewFieldConst(9674794597783493233)}, + {field.NewFieldConst(4200526016516623452), field.NewFieldConst(1757832412907480092)}, + {field.NewFieldConst(4159226258922372229), field.NewFieldConst(2121976810680943769)}, + {field.NewFieldConst(2887943290582259162), field.NewFieldConst(10337505797799617185)}, + {field.NewFieldConst(14760843822980496189), field.NewFieldConst(16331301823872182680)}, + {field.NewFieldConst(14715580754822129725), field.NewFieldConst(13761736659446638375)}, + {field.NewFieldConst(6925818640561435525), field.NewFieldConst(14142327999826777974)}, + {field.NewFieldConst(14048060513252076245), field.NewFieldConst(14860933194240516940)}, + {field.NewFieldConst(3928889853630846436), field.NewFieldConst(16211791673476822740)}, + {field.NewFieldConst(15980387576926781891), field.NewFieldConst(6238947314711778055)}, + {field.NewFieldConst(15694939331980119296), field.NewFieldConst(8708301222382733590)}, + {field.NewFieldConst(192757930858294268), field.NewFieldConst(5400388905722847256)}, + {field.NewFieldConst(17614358883814855964), field.NewFieldConst(11499208634388453518)}, + {field.NewFieldConst(9523994443422431577), field.NewFieldConst(6835394446482946098)}, + {field.NewFieldConst(10096606893378243201), field.NewFieldConst(8982086840326369907)}, + {field.NewFieldConst(7328922720001507777), field.NewFieldConst(17298728994563323488)}, + {field.NewFieldConst(7038859554184407337), field.NewFieldConst(6498153778103681368)}, + {field.NewFieldConst(10610651604960433540), field.NewFieldConst(18240735600936975661)}, + {field.NewFieldConst(4310901749476028644), field.NewFieldConst(17813866938235850894)}, + {field.NewFieldConst(12456949458361594924), field.NewFieldConst(16541357680870686003)}, + {field.NewFieldConst(13986559680062429806), field.NewFieldConst(14210541290696888125)}, + {field.NewFieldConst(10299578396192380820), field.NewFieldConst(18011235767871391546)}, + {field.NewFieldConst(747566550336808782), field.NewFieldConst(5892109075601553099)}, + {field.NewFieldConst(11613383633841665100), field.NewFieldConst(3562006923196410047)}, + {field.NewFieldConst(14971867523312360339), field.NewFieldConst(9835080574905235511)}, + {field.NewFieldConst(5487884847548072736), field.NewFieldConst(17112808386797082519)}, + {field.NewFieldConst(1687420180518659740), field.NewFieldConst(14003627304711288225)}, + {field.NewFieldConst(6760442482244819429), field.NewFieldConst(15796493945480647537)}, + {field.NewFieldConst(2639939427088481105), field.NewFieldConst(16213109089273184951)}, + {field.NewFieldConst(6186345082501710713), field.NewFieldConst(2529053005908871239)}, + {field.NewFieldConst(16270115914931256348), field.NewFieldConst(2789355919627681645)}, + {field.NewFieldConst(4586999018177783314), field.NewFieldConst(2427837399215959725)}, + {field.NewFieldConst(18143358622388343317), field.NewFieldConst(2145167333845152043)}, + {field.NewFieldConst(20367062449222124), field.NewFieldConst(14939961527015734373)}, + {field.NewFieldConst(16851694158642043266), field.NewFieldConst(5250789952541240163)}, + {field.NewFieldConst(273375074794411822), field.NewFieldConst(16211897175907793903)}, + {field.NewFieldConst(8905927930385832568), field.NewFieldConst(6540262589846603524)}, + {field.NewFieldConst(9283781971254844102), field.NewFieldConst(15115068064900745758)}, + {field.NewFieldConst(16002987404851668189), field.NewFieldConst(15226686847545140008)}, + {field.NewFieldConst(17201679792194997813), field.NewFieldConst(589849108691638964)}, + {field.NewFieldConst(13270753269614250355), field.NewFieldConst(13858862497673084592)}, + {field.NewFieldConst(3679908279346826560), field.NewFieldConst(10125726541855725943)}, + {field.NewFieldConst(9493227554592600240), field.NewFieldConst(13229107531594530196)}, + {field.NewFieldConst(10072423214517113799), field.NewFieldConst(1877804054697703518)}, + {field.NewFieldConst(9351494680554520560), field.NewFieldConst(12930187723253788505)}, + {field.NewFieldConst(9537056082833040850), field.NewFieldConst(3947445714701039423)}, + {field.NewFieldConst(978662253133020143), field.NewFieldConst(17432233037279205717)}, + {field.NewFieldConst(13408331971471826902), field.NewFieldConst(8338873650278204671)}, + {field.NewFieldConst(10455530172494355126), field.NewFieldConst(14614842120953588617)}, + {field.NewFieldConst(3066054670984065145), field.NewFieldConst(11061840675948823020)}, + {field.NewFieldConst(1215442291812236170), field.NewFieldConst(6970679356502977963)}, + {field.NewFieldConst(16254140688845356393), field.NewFieldConst(16413217415268481315)}, + {field.NewFieldConst(5571707217813279614), field.NewFieldConst(2506082641312169038)}, + {field.NewFieldConst(18179591596294163519), field.NewFieldConst(16131760445397495720)}, + {field.NewFieldConst(9500821197677833979), field.NewFieldConst(14137570623214003877)}, + {field.NewFieldConst(18159279414894480072), field.NewFieldConst(316120438770524969)}, + {field.NewFieldConst(18164288455905080997), field.NewFieldConst(12889510574086616078)}, + {field.NewFieldConst(7158952489901063870), field.NewFieldConst(8855957421923524202)}, + {field.NewFieldConst(11785615172910130564), field.NewFieldConst(13242859272114186921)}, + {field.NewFieldConst(7978627011292316159), field.NewFieldConst(12030929068833787030)}, + {field.NewFieldConst(5676253512795062173), field.NewFieldConst(9401396509276686822)}, + {field.NewFieldConst(13934555872940874542), field.NewFieldConst(12262482935570269103)}, + {field.NewFieldConst(17018864997992880664), field.NewFieldConst(8399037137658253821)}, + {field.NewFieldConst(1846702834278938262), field.NewFieldConst(13210394651984411322)}, + {field.NewFieldConst(18406563809882201846), field.NewFieldConst(15807625126691296911)}, + {field.NewFieldConst(16192554501791210701), field.NewFieldConst(15105514277710825451)}, + {field.NewFieldConst(16115514979166385045), field.NewFieldConst(5618092869410987045)}, + {field.NewFieldConst(9816852940756124129), field.NewFieldConst(1617435612712694609)}, + {field.NewFieldConst(15012743324956680415), field.NewFieldConst(11098953448520716956)}, + {field.NewFieldConst(7370750057902285338), field.NewFieldConst(15456123684241865136)}, + {field.NewFieldConst(14924801177398773859), field.NewFieldConst(1116868612459919368)}, + {field.NewFieldConst(509701279674911901), field.NewFieldConst(8606220700917290973)}, + {field.NewFieldConst(256371784527067555), field.NewFieldConst(18023759020251995084)}, + {field.NewFieldConst(4027645791496469270), field.NewFieldConst(6446906876250510281)}, + {field.NewFieldConst(8190141658485644545), field.NewFieldConst(3259909135802998300)}, + {field.NewFieldConst(11270185749533517292), field.NewFieldConst(7032460358965516338)}, + {field.NewFieldConst(12112891112487601597), field.NewFieldConst(3686732542066412082)}, + {field.NewFieldConst(18143522178445971138), field.NewFieldConst(6066438010126851248)}, + {field.NewFieldConst(16109160830754618815), field.NewFieldConst(2728516440557525242)}, + {field.NewFieldConst(14634072837475699881), field.NewFieldConst(423778353213757146)}, + {field.NewFieldConst(10421081673554059162), field.NewFieldConst(10142208889746521219)}, + {field.NewFieldConst(12957639310809930956), field.NewFieldConst(1709286023553869935)}, + {field.NewFieldConst(16217923109113456531), field.NewFieldConst(3257438610376598615)}, + {field.NewFieldConst(14024104132094810570), field.NewFieldConst(6065015478137587430)}, + {field.NewFieldConst(7972303368219061571), field.NewFieldConst(5413678307283424945)}, + {field.NewFieldConst(10367882107777269226), field.NewFieldConst(9366367173763419226)}, + {field.NewFieldConst(11506720810821148150), field.NewFieldConst(15210537421649867625)}, + {field.NewFieldConst(10979917526797364486), field.NewFieldConst(3365843489182711842)}, + {field.NewFieldConst(9176981360155624350), field.NewFieldConst(7315956459698675112)}, + {field.NewFieldConst(3964217770504101577), field.NewFieldConst(9088242192411952739)}, + {field.NewFieldConst(16243289324567090937), field.NewFieldConst(13379263550784156456)}, + {field.NewFieldConst(18105277122985331384), field.NewFieldConst(13639149553905751132)}, + {field.NewFieldConst(11145583988660932112), field.NewFieldConst(16125114195985557867)}, + {field.NewFieldConst(18437667738670181477), field.NewFieldConst(8593343353929068644)}, + {field.NewFieldConst(15549894364614350199), field.NewFieldConst(6234736889764963090)}, + {field.NewFieldConst(17753837009416762390), field.NewFieldConst(15297774054893249240)}, + {field.NewFieldConst(1465043006528110247), field.NewFieldConst(11029942851654974974)}, + {field.NewFieldConst(14312704742949520917), field.NewFieldConst(17324353686056674958)}, + {field.NewFieldConst(8078333430227959261), field.NewFieldConst(14797545414164578336)}, + {field.NewFieldConst(3544997838139687150), field.NewFieldConst(8846840377946705678)}, + {field.NewFieldConst(9981846866090807073), field.NewFieldConst(18142560414179130259)}, + {field.NewFieldConst(1256577435119993994), field.NewFieldConst(155745544208227129)}, + {field.NewFieldConst(6040293874299819317), field.NewFieldConst(10483265617246740662)}, + {field.NewFieldConst(976159477616343697), field.NewFieldConst(6356544693059700239)}, + {field.NewFieldConst(4771747444846377672), field.NewFieldConst(2466985401424965488)}, + {field.NewFieldConst(9549711421417753693), field.NewFieldConst(9543806479040458857)}, + {field.NewFieldConst(5277199124405775998), field.NewFieldConst(6251037001966593402)}, + {field.NewFieldConst(13103543598051591262), field.NewFieldConst(2001921170471454234)}, + {field.NewFieldConst(1254878001165263070), field.NewFieldConst(17587272030879777460)}, + {field.NewFieldConst(2300344156307624878), field.NewFieldConst(14356513038946626528)}, + {field.NewFieldConst(2482567400777596327), field.NewFieldConst(3314129985687795881)}, + {field.NewFieldConst(16492046206730922155), field.NewFieldConst(1312905854247159931)}, + {field.NewFieldConst(3061501132630116372), field.NewFieldConst(13315665946615810001)}, + {field.NewFieldConst(16415932954051444990), field.NewFieldConst(925217124969456536)}, + {field.NewFieldConst(9764657158286137619), field.NewFieldConst(16039332713210679567)}, + {field.NewFieldConst(14993545086997628961), field.NewFieldConst(18010329211070748489)}, + {field.NewFieldConst(17327862012036619887), field.NewFieldConst(16962349802452905993)}, + {field.NewFieldConst(4826313026336060985), field.NewFieldConst(3597777099127511952)}, } -var publicInputsHash = poseidon.Hash{field.ZERO_F, field.ZERO_F, field.ZERO_F, field.ZERO_F} +var publicInputsHash = poseidon.PoseidonHashOut{field.ZERO_F, field.ZERO_F, field.ZERO_F, field.ZERO_F} var publicInputGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(10289971018233574142), field.NewFieldConst(4567684908222573778)}, - {field.NewFieldConst(11564178579868812087), field.NewFieldConst(4510091545046358953)}, - {field.NewFieldConst(2427374067806073277), field.NewFieldConst(6911441533263492425)}, - {field.NewFieldConst(7693977127287585254), field.NewFieldConst(9885192257977663560)}, + {field.NewFieldConst(5101665081776077058), field.NewFieldConst(13601771238484783081)}, + {field.NewFieldConst(13763997788502656587), field.NewFieldConst(6068443864169526207)}, + {field.NewFieldConst(10492880302699453810), field.NewFieldConst(11304418575668616669)}, + {field.NewFieldConst(2175168501339052813), field.NewFieldConst(3658211467579027796)}, } // BaseSumGate { num_limbs: 63 }), (Base: 2) var baseSumGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(11424008506420489027), field.NewFieldConst(2915141729320103909)}, - {field.NewFieldConst(990850510351998129), field.NewFieldConst(10775195787959069600)}, - {field.NewFieldConst(6614688617813304624), field.NewFieldConst(11090441606706959264)}, - {field.NewFieldConst(17750388994193092499), field.NewFieldConst(9822716613211085052)}, - {field.NewFieldConst(15668686535963465292), field.NewFieldConst(5860790519230132950)}, - {field.NewFieldConst(9301693563861638036), field.NewFieldConst(5759072521542705927)}, - {field.NewFieldConst(1463677617048504116), field.NewFieldConst(657088188145156737)}, - {field.NewFieldConst(11221326157331101168), field.NewFieldConst(3258353713560294154)}, - {field.NewFieldConst(6298170343528505052), field.NewFieldConst(1515404430931450244)}, - {field.NewFieldConst(10609142393996097059), field.NewFieldConst(5676353771077187085)}, - {field.NewFieldConst(15377741222281320), field.NewFieldConst(17210062473996670458)}, - {field.NewFieldConst(16623098697475668629), field.NewFieldConst(16010660943931470875)}, - {field.NewFieldConst(13742463434921610007), field.NewFieldConst(11069510319782271171)}, - {field.NewFieldConst(14872905802739821087), field.NewFieldConst(16577474870939262513)}, - {field.NewFieldConst(15699671366929256655), field.NewFieldConst(15598194197245819873)}, - {field.NewFieldConst(10679123900573339697), field.NewFieldConst(10228522398312889861)}, - {field.NewFieldConst(8872281223292031801), field.NewFieldConst(1329834573379055460)}, - {field.NewFieldConst(2535224613123191755), field.NewFieldConst(12786291812393663221)}, - {field.NewFieldConst(17788228910394641125), field.NewFieldConst(5545904820430114370)}, - {field.NewFieldConst(10489817294122939391), field.NewFieldConst(14636352222428121923)}, - {field.NewFieldConst(10852238020744398528), field.NewFieldConst(2312796082809010853)}, - {field.NewFieldConst(5067875522341132442), field.NewFieldConst(2107737958122288286)}, - {field.NewFieldConst(17283146688878926257), field.NewFieldConst(8456549639899437925)}, - {field.NewFieldConst(10637171512256553781), field.NewFieldConst(6390530901963054085)}, - {field.NewFieldConst(7586090218847390134), field.NewFieldConst(13687926314033375459)}, - {field.NewFieldConst(9523662200490053374), field.NewFieldConst(13361040406642218763)}, - {field.NewFieldConst(634822311162237689), field.NewFieldConst(9630483174624222223)}, - {field.NewFieldConst(15242934013445465604), field.NewFieldConst(1135488709061427932)}, - {field.NewFieldConst(10311174951052257420), field.NewFieldConst(524968500387403585)}, - {field.NewFieldConst(6646751050961926593), field.NewFieldConst(8684017064299024213)}, - {field.NewFieldConst(16629184374162391253), field.NewFieldConst(13745216788879851113)}, - {field.NewFieldConst(15725765914323741961), field.NewFieldConst(4607182206571650287)}, - {field.NewFieldConst(4905637093691966606), field.NewFieldConst(218562275165442331)}, - {field.NewFieldConst(15526612325511973871), field.NewFieldConst(5770955229659050735)}, - {field.NewFieldConst(9591223869277908917), field.NewFieldConst(1518900007157334701)}, - {field.NewFieldConst(14713177841944866109), field.NewFieldConst(16661134545564989407)}, - {field.NewFieldConst(4236602876840371235), field.NewFieldConst(12185730046300426061)}, - {field.NewFieldConst(14844502873470690827), field.NewFieldConst(5567680392033564858)}, - {field.NewFieldConst(5550472614893629959), field.NewFieldConst(17955875404530787722)}, - {field.NewFieldConst(9965647340229188622), field.NewFieldConst(12067752288619191155)}, - {field.NewFieldConst(15624184226617424434), field.NewFieldConst(13522086059807517857)}, - {field.NewFieldConst(6001948917737119729), field.NewFieldConst(10555349705067997421)}, - {field.NewFieldConst(7967852853408273634), field.NewFieldConst(16393445105337145265)}, - {field.NewFieldConst(13601491066758079307), field.NewFieldConst(11390709918813075818)}, - {field.NewFieldConst(5704706916270196865), field.NewFieldConst(17007264058732032659)}, - {field.NewFieldConst(18354610167186324196), field.NewFieldConst(16917152819910011122)}, - {field.NewFieldConst(6026824824087688959), field.NewFieldConst(11547555659280958524)}, - {field.NewFieldConst(15645938871784252821), field.NewFieldConst(12381341093764170444)}, - {field.NewFieldConst(1202470274460413029), field.NewFieldConst(3583599940021118482)}, - {field.NewFieldConst(5248479930891455774), field.NewFieldConst(2393692482194449448)}, - {field.NewFieldConst(13386434971986911647), field.NewFieldConst(12326376082602154018)}, - {field.NewFieldConst(11327299405009394635), field.NewFieldConst(7538844592867989882)}, - {field.NewFieldConst(7984839537656677309), field.NewFieldConst(6441274039505923023)}, - {field.NewFieldConst(3942932013374375924), field.NewFieldConst(6548354659360045418)}, - {field.NewFieldConst(10139699962065730425), field.NewFieldConst(16908585391181627242)}, - {field.NewFieldConst(18094104343668325187), field.NewFieldConst(8370083050741645827)}, - {field.NewFieldConst(12131340922292526267), field.NewFieldConst(17299488555769517106)}, - {field.NewFieldConst(11470330746430670818), field.NewFieldConst(15960507373360402879)}, - {field.NewFieldConst(386512699105836065), field.NewFieldConst(8986007306829996238)}, - {field.NewFieldConst(1834598616243509000), field.NewFieldConst(14626792908408543748)}, - {field.NewFieldConst(17890037858181404101), field.NewFieldConst(17018218424290394313)}, - {field.NewFieldConst(11758664078194540174), field.NewFieldConst(16603941107284246147)}, - {field.NewFieldConst(14022184733842887279), field.NewFieldConst(13741139908708752348)}, - {field.NewFieldConst(4836630213324422487), field.NewFieldConst(222498232493222193)}, + {field.NewFieldConst(9928715244459351681), field.NewFieldConst(5344081500364361215)}, + {field.NewFieldConst(10167164649082076581), field.NewFieldConst(15450889555489725096)}, + {field.NewFieldConst(3546584706462116594), field.NewFieldConst(1476426705388693036)}, + {field.NewFieldConst(12648634003162244983), field.NewFieldConst(2239452344495239178)}, + {field.NewFieldConst(2301087631440580451), field.NewFieldConst(11975672920337250307)}, + {field.NewFieldConst(14001554463269171732), field.NewFieldConst(6953207277617809048)}, + {field.NewFieldConst(9895590040747031510), field.NewFieldConst(1356956949635190505)}, + {field.NewFieldConst(14939964178677988571), field.NewFieldConst(454717738260444218)}, + {field.NewFieldConst(12201660109699192297), field.NewFieldConst(12502457673278583036)}, + {field.NewFieldConst(1175543972635147885), field.NewFieldConst(11103026408792334489)}, + {field.NewFieldConst(3384025741923988904), field.NewFieldConst(2656764746353452717)}, + {field.NewFieldConst(10849522185534943138), field.NewFieldConst(13172212508084788997)}, + {field.NewFieldConst(10509522572526523739), field.NewFieldConst(2090707475955491976)}, + {field.NewFieldConst(13692600715410336206), field.NewFieldConst(7227633217973806771)}, + {field.NewFieldConst(8471053080480597138), field.NewFieldConst(2646922138422495173)}, + {field.NewFieldConst(555344530120410083), field.NewFieldConst(13860459564781531385)}, + {field.NewFieldConst(8748801107049442833), field.NewFieldConst(9263752460533085733)}, + {field.NewFieldConst(13633964398888639692), field.NewFieldConst(10068133633095351031)}, + {field.NewFieldConst(6911322073377914708), field.NewFieldConst(17978361073083837803)}, + {field.NewFieldConst(11223090828346729804), field.NewFieldConst(5006610230932979596)}, + {field.NewFieldConst(11581626217660221266), field.NewFieldConst(16347470001077006094)}, + {field.NewFieldConst(2924189901864366701), field.NewFieldConst(4309265474738828848)}, + {field.NewFieldConst(7275314468944461178), field.NewFieldConst(3109308884739285751)}, + {field.NewFieldConst(12416988612575693809), field.NewFieldConst(13772367397588066248)}, + {field.NewFieldConst(15438805794425696237), field.NewFieldConst(5809350894111990599)}, + {field.NewFieldConst(4275145128501503120), field.NewFieldConst(13230668146909969114)}, + {field.NewFieldConst(15244699495724739585), field.NewFieldConst(7672322205441472064)}, + {field.NewFieldConst(5429809680618805220), field.NewFieldConst(3153880467220264060)}, + {field.NewFieldConst(14715345489518514160), field.NewFieldConst(2246036712337629635)}, + {field.NewFieldConst(9359342125434211935), field.NewFieldConst(7844760208539761732)}, + {field.NewFieldConst(17550561700498841003), field.NewFieldConst(10851755490050776878)}, + {field.NewFieldConst(12192385328855013814), field.NewFieldConst(6629056869404844416)}, + {field.NewFieldConst(3424745785197724925), field.NewFieldConst(9833599393425172230)}, + {field.NewFieldConst(8602078107149096927), field.NewFieldConst(6592109323720773368)}, + {field.NewFieldConst(4109716921881297082), field.NewFieldConst(4396469548700606105)}, + {field.NewFieldConst(10400304110319417426), field.NewFieldConst(1229823145437740976)}, + {field.NewFieldConst(14853277673343952974), field.NewFieldConst(7653131044140686982)}, + {field.NewFieldConst(15831955783787857197), field.NewFieldConst(16541106185743830609)}, + {field.NewFieldConst(16097830673407036871), field.NewFieldConst(917501749911433098)}, + {field.NewFieldConst(6819428296662518848), field.NewFieldConst(15325182544903569500)}, + {field.NewFieldConst(3554857310728040215), field.NewFieldConst(17540168721765377170)}, + {field.NewFieldConst(7246216899469226885), field.NewFieldConst(3184709231158489554)}, + {field.NewFieldConst(3462793508732024933), field.NewFieldConst(13410498916934897793)}, + {field.NewFieldConst(784714181705176804), field.NewFieldConst(8079390288171846846)}, + {field.NewFieldConst(4592501261546923410), field.NewFieldConst(6046244648190342248)}, + {field.NewFieldConst(14100558314779073910), field.NewFieldConst(9589305391181830029)}, + {field.NewFieldConst(7208216654581381179), field.NewFieldConst(16662177305876430630)}, + {field.NewFieldConst(13442246990998561849), field.NewFieldConst(6359024918649040199)}, + {field.NewFieldConst(16196376030005699590), field.NewFieldConst(5656446490425854681)}, + {field.NewFieldConst(16279173216505198700), field.NewFieldConst(6278440230935274234)}, + {field.NewFieldConst(9299204333782277508), field.NewFieldConst(5539548698065086849)}, + {field.NewFieldConst(531539748103362347), field.NewFieldConst(17008402782657673980)}, + {field.NewFieldConst(11956287871118080485), field.NewFieldConst(17776888431041950837)}, + {field.NewFieldConst(16795401491637949606), field.NewFieldConst(12112971435724505573)}, + {field.NewFieldConst(10141270150228316653), field.NewFieldConst(8738825159351228227)}, + {field.NewFieldConst(4249416130151320263), field.NewFieldConst(4171109024390883108)}, + {field.NewFieldConst(13565954345346642147), field.NewFieldConst(11300077318998472624)}, + {field.NewFieldConst(6006413348327738680), field.NewFieldConst(17429146764001291339)}, + {field.NewFieldConst(3009379005164242386), field.NewFieldConst(17911649148503516453)}, + {field.NewFieldConst(4172202865347441020), field.NewFieldConst(6700979848078030374)}, + {field.NewFieldConst(9692174554453081047), field.NewFieldConst(16461309050820528716)}, + {field.NewFieldConst(16012555505188709835), field.NewFieldConst(875036531415994728)}, + {field.NewFieldConst(14527388813134058525), field.NewFieldConst(13371873777459370318)}, + {field.NewFieldConst(6493493657980111839), field.NewFieldConst(14874520839734823069)}, } // ArithmeticGate { num_ops: 20 } var arithmeticGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(12119614175182896132), field.NewFieldConst(9100747776469133669)}, - {field.NewFieldConst(1435113994507051493), field.NewFieldConst(16937897191584383857)}, - {field.NewFieldConst(51616472710099652), field.NewFieldConst(4146295929435411488)}, - {field.NewFieldConst(92237181388579392), field.NewFieldConst(12824787281527009080)}, - {field.NewFieldConst(11063958613047368831), field.NewFieldConst(516751095582253219)}, - {field.NewFieldConst(8881502495740733965), field.NewFieldConst(5405782271334426100)}, - {field.NewFieldConst(9646745645960524278), field.NewFieldConst(6323317609176095073)}, - {field.NewFieldConst(10334354202446659881), field.NewFieldConst(17865166204439996809)}, - {field.NewFieldConst(9511789862027881130), field.NewFieldConst(17897392861017078901)}, - {field.NewFieldConst(4686618214331097217), field.NewFieldConst(7102232698145277151)}, - {field.NewFieldConst(5140381642477065044), field.NewFieldConst(15554316144351441473)}, - {field.NewFieldConst(14252043934312871974), field.NewFieldConst(1198292921407928539)}, - {field.NewFieldConst(13289413398237564138), field.NewFieldConst(15704998539419457452)}, - {field.NewFieldConst(4800979510155331538), field.NewFieldConst(14057404157182035427)}, - {field.NewFieldConst(17908028924715246889), field.NewFieldConst(8716376706845369224)}, - {field.NewFieldConst(3226678693544038862), field.NewFieldConst(5577680088492344738)}, - {field.NewFieldConst(10987852156126930017), field.NewFieldConst(16323667584216755558)}, - {field.NewFieldConst(5135981108938961064), field.NewFieldConst(6684115991562770960)}, - {field.NewFieldConst(8519638889718596339), field.NewFieldConst(7662028578892995756)}, - {field.NewFieldConst(7747323897933750795), field.NewFieldConst(6872730347313691927)}, + {field.NewFieldConst(8251494922795803874), field.NewFieldConst(7884328911897949424)}, + {field.NewFieldConst(17545754596575389449), field.NewFieldConst(15111927979676704385)}, + {field.NewFieldConst(10052040965126353731), field.NewFieldConst(1448153912054014611)}, + {field.NewFieldConst(3878848318701063854), field.NewFieldConst(15999854355391952993)}, + {field.NewFieldConst(2194699804496089007), field.NewFieldConst(7489112350095609056)}, + {field.NewFieldConst(666656317372820215), field.NewFieldConst(8333111246649438880)}, + {field.NewFieldConst(15500013716804095980), field.NewFieldConst(7739144386812042617)}, + {field.NewFieldConst(2815612394018416154), field.NewFieldConst(15839168197108305099)}, + {field.NewFieldConst(12980309813768330187), field.NewFieldConst(12446111953378048591)}, + {field.NewFieldConst(1389916348936822477), field.NewFieldConst(2080258147396834809)}, + {field.NewFieldConst(3676770229830052631), field.NewFieldConst(8984521981419906260)}, + {field.NewFieldConst(4759606161035299488), field.NewFieldConst(18415228017149216426)}, + {field.NewFieldConst(6849567585629675684), field.NewFieldConst(15231001333591586187)}, + {field.NewFieldConst(17831496121270832947), field.NewFieldConst(1868580989876710210)}, + {field.NewFieldConst(12226832860244216901), field.NewFieldConst(12352098694767236965)}, + {field.NewFieldConst(9795530155924375772), field.NewFieldConst(4833402654226660686)}, + {field.NewFieldConst(7421277748600887772), field.NewFieldConst(16979590244320625600)}, + {field.NewFieldConst(4212532134312824848), field.NewFieldConst(7938725153260099101)}, + {field.NewFieldConst(17718231164451799422), field.NewFieldConst(13363195988334771788)}, + {field.NewFieldConst(5414385531680474153), field.NewFieldConst(13600409983387272243)}, } // RandomAccessGate { bits: 4, num_copies: 4, num_extra_constants: 2, _phantom: PhantomData } var randomAccessGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(2891299230460455680), field.NewFieldConst(12638923114586787038)}, - {field.NewFieldConst(10369791235277272383), field.NewFieldConst(11178254747952182382)}, - {field.NewFieldConst(2609100974341658152), field.NewFieldConst(7141157629969452340)}, - {field.NewFieldConst(10885639242129231953), field.NewFieldConst(10224819739496777877)}, - {field.NewFieldConst(15486139493712450489), field.NewFieldConst(17924944477102802615)}, - {field.NewFieldConst(5969758517166950176), field.NewFieldConst(4139464862931677318)}, - {field.NewFieldConst(7251510967440451429), field.NewFieldConst(11634060506931912043)}, - {field.NewFieldConst(581371472896562405), field.NewFieldConst(1340263685452848185)}, - {field.NewFieldConst(11876289968532354241), field.NewFieldConst(39606365246086104)}, - {field.NewFieldConst(17037991399414168046), field.NewFieldConst(9356315359108087151)}, - {field.NewFieldConst(13506822543872334969), field.NewFieldConst(14166594210473057923)}, - {field.NewFieldConst(530968584207084639), field.NewFieldConst(12346975065647187607)}, - {field.NewFieldConst(8780439534301283756), field.NewFieldConst(14250307971393105395)}, - {field.NewFieldConst(5955166439403627952), field.NewFieldConst(427818832806268253)}, - {field.NewFieldConst(10383473532295208089), field.NewFieldConst(10834018170496866410)}, - {field.NewFieldConst(17770159895239813531), field.NewFieldConst(3803908573438301448)}, - {field.NewFieldConst(5230956285821863871), field.NewFieldConst(13187949446452303832)}, - {field.NewFieldConst(4082775007574051589), field.NewFieldConst(17608951079871259588)}, - {field.NewFieldConst(15832332042406144153), field.NewFieldConst(9112933169473505864)}, - {field.NewFieldConst(17289713569232165217), field.NewFieldConst(764355564171754371)}, - {field.NewFieldConst(11875388597093781742), field.NewFieldConst(17390337221018798452)}, - {field.NewFieldConst(14723779398624676305), field.NewFieldConst(4351422752569601515)}, - {field.NewFieldConst(7898206414568399642), field.NewFieldConst(3781389637016766144)}, - {field.NewFieldConst(10959059343195760030), field.NewFieldConst(17524903422154932359)}, - {field.NewFieldConst(7305896571823662942), field.NewFieldConst(12962835460398538761)}, - {field.NewFieldConst(5653738395766265725), field.NewFieldConst(8097455003461687478)}, + {field.NewFieldConst(18367067186009695282), field.NewFieldConst(6227937229941915629)}, + {field.NewFieldConst(342627832935644960), field.NewFieldConst(11262336464371657587)}, + {field.NewFieldConst(7711502047853221895), field.NewFieldConst(9814305320358879113)}, + {field.NewFieldConst(2436675870898619939), field.NewFieldConst(12171743011114835714)}, + {field.NewFieldConst(9224796650008092960), field.NewFieldConst(197827193844666436)}, + {field.NewFieldConst(7661651717350955969), field.NewFieldConst(3929163527437938921)}, + {field.NewFieldConst(11994613277879586781), field.NewFieldConst(2918199453077793278)}, + {field.NewFieldConst(2133315582796573410), field.NewFieldConst(9920472598641951727)}, + {field.NewFieldConst(5763420675219782924), field.NewFieldConst(193200772658790662)}, + {field.NewFieldConst(14322103909897767697), field.NewFieldConst(2455403487869979318)}, + {field.NewFieldConst(3583177870835306708), field.NewFieldConst(15956920993825363087)}, + {field.NewFieldConst(15767764327818217757), field.NewFieldConst(17814936958431909187)}, + {field.NewFieldConst(7224551806569620055), field.NewFieldConst(1191241782303323453)}, + {field.NewFieldConst(3994846439282900915), field.NewFieldConst(16007298430807731888)}, + {field.NewFieldConst(1904864531973789879), field.NewFieldConst(9374437322489636375)}, + {field.NewFieldConst(17617411600595291430), field.NewFieldConst(11804426503917788826)}, + {field.NewFieldConst(5010213812557284606), field.NewFieldConst(8276410914978849008)}, + {field.NewFieldConst(13701536021647106057), field.NewFieldConst(5043776904396037625)}, + {field.NewFieldConst(4336267979289896624), field.NewFieldConst(8771134635816393433)}, + {field.NewFieldConst(17885926480537171976), field.NewFieldConst(9644095314646547597)}, + {field.NewFieldConst(17179233085824331332), field.NewFieldConst(6950525108693323209)}, + {field.NewFieldConst(9461258042008745175), field.NewFieldConst(6766975264204597922)}, + {field.NewFieldConst(10838154179711471883), field.NewFieldConst(16554457937262927355)}, + {field.NewFieldConst(5823858951686479642), field.NewFieldConst(10171201631442530906)}, + {field.NewFieldConst(17476953112985367168), field.NewFieldConst(12062851564787792403)}, + {field.NewFieldConst(7909573710893929152), field.NewFieldConst(6207515797705444652)}, } // PoseidonGate(PhantomData) var poseidonGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(7586090218847390134), field.NewFieldConst(13687926314033375459)}, - {field.NewFieldConst(10774680496478357997), field.NewFieldConst(14419929234728022600)}, - {field.NewFieldConst(983485807903636414), field.NewFieldConst(3028876395437704592)}, - {field.NewFieldConst(5873163034459252869), field.NewFieldConst(11720300428168955402)}, - {field.NewFieldConst(16261775977438390033), field.NewFieldConst(15598817592005081227)}, - {field.NewFieldConst(3308439339359285309), field.NewFieldConst(16350160944703138332)}, - {field.NewFieldConst(2477915029208949035), field.NewFieldConst(10909058342937234971)}, - {field.NewFieldConst(2006101431747008114), field.NewFieldConst(1317396811566929515)}, - {field.NewFieldConst(5743380333218483835), field.NewFieldConst(9864892326580372485)}, - {field.NewFieldConst(4343047746155696133), field.NewFieldConst(2452956674303649004)}, - {field.NewFieldConst(18237771591472199486), field.NewFieldConst(9201720967486340889)}, - {field.NewFieldConst(7997743545022954538), field.NewFieldConst(5790905224346459337)}, - {field.NewFieldConst(7270313259765139533), field.NewFieldConst(13664497978956485388)}, - {field.NewFieldConst(11627392666242516567), field.NewFieldConst(6707531853885096654)}, - {field.NewFieldConst(14108041676779390728), field.NewFieldConst(13890317640467961363)}, - {field.NewFieldConst(10461937206408578346), field.NewFieldConst(16929842020525911045)}, - {field.NewFieldConst(14163490001894639417), field.NewFieldConst(6486250350832733344)}, - {field.NewFieldConst(6025822272051423893), field.NewFieldConst(6875599327185319749)}, - {field.NewFieldConst(11800406778761598568), field.NewFieldConst(13445736562420900345)}, - {field.NewFieldConst(8721632296347252438), field.NewFieldConst(15861696011210243831)}, - {field.NewFieldConst(13862698645551446166), field.NewFieldConst(10895802231885823011)}, - {field.NewFieldConst(9467131299943023152), field.NewFieldConst(508610840287781764)}, - {field.NewFieldConst(10369576299876905473), field.NewFieldConst(1319089684709412204)}, - {field.NewFieldConst(17202741125808968481), field.NewFieldConst(4132975454251812345)}, - {field.NewFieldConst(4939406044782203142), field.NewFieldConst(18100435685377738067)}, - {field.NewFieldConst(2662601992953696766), field.NewFieldConst(5356898997486457355)}, - {field.NewFieldConst(12240740991568526347), field.NewFieldConst(14183052793978601368)}, - {field.NewFieldConst(17267799754824241908), field.NewFieldConst(15067892579134674951)}, - {field.NewFieldConst(3885637219153712510), field.NewFieldConst(2045928245539296545)}, - {field.NewFieldConst(7614199998298216925), field.NewFieldConst(13135807303144108264)}, - {field.NewFieldConst(12232208765790877245), field.NewFieldConst(6790391920585566719)}, - {field.NewFieldConst(14027621788671850076), field.NewFieldConst(8244116705079721069)}, - {field.NewFieldConst(18361849947075265980), field.NewFieldConst(636640170174188211)}, - {field.NewFieldConst(15400723839777269850), field.NewFieldConst(7187627113110641974)}, - {field.NewFieldConst(11208418886499216060), field.NewFieldConst(1068905181682993370)}, - {field.NewFieldConst(8741978871712571992), field.NewFieldConst(11893984108008599655)}, - {field.NewFieldConst(5904231306484990036), field.NewFieldConst(10974042651195177783)}, - {field.NewFieldConst(12306264278608747297), field.NewFieldConst(6054935933756948006)}, - {field.NewFieldConst(4439661353730067518), field.NewFieldConst(13536513851562309841)}, - {field.NewFieldConst(13020734370698999772), field.NewFieldConst(163773705062531020)}, - {field.NewFieldConst(10365756846699668634), field.NewFieldConst(5245413619357449)}, - {field.NewFieldConst(15929862436085820709), field.NewFieldConst(10957910821863876318)}, - {field.NewFieldConst(977018799724983158), field.NewFieldConst(15040949766668867994)}, - {field.NewFieldConst(2993125862244950582), field.NewFieldConst(13234404554976574543)}, - {field.NewFieldConst(14122201262568632993), field.NewFieldConst(93763383340088526)}, - {field.NewFieldConst(8975477202804925208), field.NewFieldConst(1040893022864763499)}, - {field.NewFieldConst(7725813871064262870), field.NewFieldConst(14455479145922718826)}, - {field.NewFieldConst(1073062170185630790), field.NewFieldConst(16407856079088655345)}, - {field.NewFieldConst(17737117878818849535), field.NewFieldConst(1900599912944642061)}, - {field.NewFieldConst(12256168642879070567), field.NewFieldConst(8539769760609459864)}, - {field.NewFieldConst(15141228232285134803), field.NewFieldConst(897120225935075003)}, - {field.NewFieldConst(3388596123376728329), field.NewFieldConst(5128230734992475590)}, - {field.NewFieldConst(8733319491992764673), field.NewFieldConst(1928863683866117576)}, - {field.NewFieldConst(5203485787146767490), field.NewFieldConst(12954094447445057610)}, - {field.NewFieldConst(5201734155949618873), field.NewFieldConst(3995115267673262244)}, - {field.NewFieldConst(8666839426855174616), field.NewFieldConst(3659748522909014185)}, - {field.NewFieldConst(9240426493517714121), field.NewFieldConst(12895319645103780590)}, - {field.NewFieldConst(10104523192405168095), field.NewFieldConst(8335084014759232790)}, - {field.NewFieldConst(12471660706832322357), field.NewFieldConst(16692471091408210242)}, - {field.NewFieldConst(7713567301004647325), field.NewFieldConst(2346765742178693341)}, - {field.NewFieldConst(5087966313974874861), field.NewFieldConst(17995538175842083522)}, - {field.NewFieldConst(1103485120645095922), field.NewFieldConst(17358959631107792889)}, - {field.NewFieldConst(16443030134912318512), field.NewFieldConst(4694929981527462915)}, - {field.NewFieldConst(5229836547906072694), field.NewFieldConst(10529861755371621018)}, - {field.NewFieldConst(17706463046886551260), field.NewFieldConst(7014625543777947259)}, - {field.NewFieldConst(17494246083650429806), field.NewFieldConst(10059232320812188522)}, - {field.NewFieldConst(6009623857477500128), field.NewFieldConst(9041821915077023327)}, - {field.NewFieldConst(15414837134646072506), field.NewFieldConst(17735866267331281406)}, - {field.NewFieldConst(9582418254228040565), field.NewFieldConst(9475780400052940525)}, - {field.NewFieldConst(3850010214259020229), field.NewFieldConst(2344916032711572881)}, - {field.NewFieldConst(3276478492985700631), field.NewFieldConst(9347511148183965796)}, - {field.NewFieldConst(4260955157349956538), field.NewFieldConst(3737557221553060525)}, - {field.NewFieldConst(1814028760671441115), field.NewFieldConst(1709540851509897224)}, - {field.NewFieldConst(304220870213251471), field.NewFieldConst(18339319635968408171)}, - {field.NewFieldConst(6309601903165399081), field.NewFieldConst(4611660338915358676)}, - {field.NewFieldConst(5440836432197140901), field.NewFieldConst(835184832962669050)}, - {field.NewFieldConst(4132483007111889331), field.NewFieldConst(17679464861654166329)}, - {field.NewFieldConst(12071698679631585615), field.NewFieldConst(3526806430507304767)}, - {field.NewFieldConst(16570124099871162516), field.NewFieldConst(16394949299416922104)}, - {field.NewFieldConst(11779301434103087470), field.NewFieldConst(9928702854994401626)}, - {field.NewFieldConst(486097273023099818), field.NewFieldConst(1666631222233964241)}, - {field.NewFieldConst(13426511095962901265), field.NewFieldConst(16977352762229561063)}, - {field.NewFieldConst(7848259968166982335), field.NewFieldConst(8923641610835432771)}, - {field.NewFieldConst(6717523783985825261), field.NewFieldConst(8442698012198213832)}, - {field.NewFieldConst(16551829854897630528), field.NewFieldConst(1207332518477764340)}, - {field.NewFieldConst(9552262459546034571), field.NewFieldConst(4701791517562735608)}, - {field.NewFieldConst(6527201331407091692), field.NewFieldConst(10762913938781033944)}, - {field.NewFieldConst(11212416663128404375), field.NewFieldConst(6847749339754298086)}, - {field.NewFieldConst(10791247438031342492), field.NewFieldConst(3448715099533950037)}, - {field.NewFieldConst(1719220253088662156), field.NewFieldConst(15702968714187742357)}, - {field.NewFieldConst(14008817631758138024), field.NewFieldConst(17297897981954620228)}, - {field.NewFieldConst(7768014097976613936), field.NewFieldConst(15806402621409309279)}, - {field.NewFieldConst(3886721256453659755), field.NewFieldConst(16395869594056206627)}, - {field.NewFieldConst(13997073954856864246), field.NewFieldConst(1233051863712529371)}, - {field.NewFieldConst(11334349192463912274), field.NewFieldConst(5454820034730801470)}, - {field.NewFieldConst(7648426950649263998), field.NewFieldConst(9412547620105462810)}, - {field.NewFieldConst(2869115266070242006), field.NewFieldConst(9873001547032180059)}, - {field.NewFieldConst(11864269740491424738), field.NewFieldConst(3771973823544233765)}, - {field.NewFieldConst(9374340554044631499), field.NewFieldConst(11414175937704649426)}, - {field.NewFieldConst(8970748854700874383), field.NewFieldConst(2703579039677419011)}, - {field.NewFieldConst(3743841601176432106), field.NewFieldConst(11043980835019875782)}, - {field.NewFieldConst(1654705359096618107), field.NewFieldConst(4374088811382131752)}, - {field.NewFieldConst(10209435051454821145), field.NewFieldConst(4087979231575661143)}, - {field.NewFieldConst(9566392584670645438), field.NewFieldConst(5102479111558561813)}, - {field.NewFieldConst(4542214823227660682), field.NewFieldConst(16447152846983873546)}, - {field.NewFieldConst(3619667706484141693), field.NewFieldConst(3976495805371636999)}, - {field.NewFieldConst(14677559952589127978), field.NewFieldConst(1506330427474903904)}, - {field.NewFieldConst(9618330319963013853), field.NewFieldConst(7774314641304317232)}, - {field.NewFieldConst(15136595569611237026), field.NewFieldConst(6241976546079100101)}, - {field.NewFieldConst(6190131967820348937), field.NewFieldConst(8898314655028146727)}, - {field.NewFieldConst(10664902807329902141), field.NewFieldConst(399679411582475270)}, - {field.NewFieldConst(4620231951016842028), field.NewFieldConst(14227502135369964656)}, - {field.NewFieldConst(14442830168084065060), field.NewFieldConst(18194643570654368962)}, - {field.NewFieldConst(6026772169794354979), field.NewFieldConst(15538586941211648185)}, - {field.NewFieldConst(3305763071851691617), field.NewFieldConst(7414963068017211970)}, - {field.NewFieldConst(2348819716102409971), field.NewFieldConst(3414253607649082297)}, - {field.NewFieldConst(5561613987159516190), field.NewFieldConst(18108137586585031915)}, - {field.NewFieldConst(11622858756456645517), field.NewFieldConst(5481788959889711288)}, - {field.NewFieldConst(14329441999576805903), field.NewFieldConst(7316385947805485474)}, - {field.NewFieldConst(6619906970666076294), field.NewFieldConst(11606453814479815487)}, - {field.NewFieldConst(273184393202580706), field.NewFieldConst(15538333835729971074)}, - {field.NewFieldConst(16891566794426605557), field.NewFieldConst(432853148035369520)}, - {field.NewFieldConst(3134481789780853760), field.NewFieldConst(10023938129020275945)}, + {field.NewFieldConst(15438805794425696237), field.NewFieldConst(5809350894111990599)}, + {field.NewFieldConst(105238306594298866), field.NewFieldConst(6398155585902798861)}, + {field.NewFieldConst(5256232026568856387), field.NewFieldConst(9253448664982005262)}, + {field.NewFieldConst(6559974022172208218), field.NewFieldConst(14478753759394222537)}, + {field.NewFieldConst(7036928093413865537), field.NewFieldConst(895644692646980845)}, + {field.NewFieldConst(6350074916129003337), field.NewFieldConst(10418298512623677843)}, + {field.NewFieldConst(6618288817893266284), field.NewFieldConst(17565920952415773065)}, + {field.NewFieldConst(7214268149308735221), field.NewFieldConst(17797640553663908886)}, + {field.NewFieldConst(17038147867485750883), field.NewFieldConst(10766691853641769251)}, + {field.NewFieldConst(1228066111137794024), field.NewFieldConst(1267834319488006514)}, + {field.NewFieldConst(15317834050441961579), field.NewFieldConst(13280896488837969140)}, + {field.NewFieldConst(10135227968960430585), field.NewFieldConst(7096433509203324519)}, + {field.NewFieldConst(10733417635899979276), field.NewFieldConst(16819459255105516700)}, + {field.NewFieldConst(4231839251429338586), field.NewFieldConst(3213678047797020863)}, + {field.NewFieldConst(16271445286187692537), field.NewFieldConst(15377656608157234934)}, + {field.NewFieldConst(9356442829698587975), field.NewFieldConst(14633910545825415036)}, + {field.NewFieldConst(13952390018297698734), field.NewFieldConst(16325393355066618599)}, + {field.NewFieldConst(11399251131586292643), field.NewFieldConst(16257107051968717815)}, + {field.NewFieldConst(4274092107872068929), field.NewFieldConst(15550597684938436610)}, + {field.NewFieldConst(13076618331457049912), field.NewFieldConst(4958059540220054374)}, + {field.NewFieldConst(11650097218963026123), field.NewFieldConst(12070947109214611020)}, + {field.NewFieldConst(2700303408109034014), field.NewFieldConst(5968338348636871194)}, + {field.NewFieldConst(11508005723655482353), field.NewFieldConst(15224088756564969467)}, + {field.NewFieldConst(9328231423353697829), field.NewFieldConst(10577349809783627634)}, + {field.NewFieldConst(556544259468984890), field.NewFieldConst(13376447539117215836)}, + {field.NewFieldConst(17319865455991589647), field.NewFieldConst(588985536671201497)}, + {field.NewFieldConst(9528470026616131077), field.NewFieldConst(7257040911301352274)}, + {field.NewFieldConst(14316182132889623635), field.NewFieldConst(9589165219691594711)}, + {field.NewFieldConst(10405802815809041956), field.NewFieldConst(13917007789819955074)}, + {field.NewFieldConst(12560668105252495616), field.NewFieldConst(3591188232548111694)}, + {field.NewFieldConst(14765117357942682611), field.NewFieldConst(10757853341059462467)}, + {field.NewFieldConst(6099902163260965551), field.NewFieldConst(11343816861356056114)}, + {field.NewFieldConst(1083174255539258286), field.NewFieldConst(7587979659522435417)}, + {field.NewFieldConst(2882552180249608570), field.NewFieldConst(7966658657757662554)}, + {field.NewFieldConst(13490914415473336227), field.NewFieldConst(63845168436289811)}, + {field.NewFieldConst(9459794640071212413), field.NewFieldConst(13417331052474309186)}, + {field.NewFieldConst(18328090807516092318), field.NewFieldConst(11807085063599693782)}, + {field.NewFieldConst(281059606944328759), field.NewFieldConst(13352248056867426135)}, + {field.NewFieldConst(10905177588660050370), field.NewFieldConst(6597328385789442670)}, + {field.NewFieldConst(8426356906491012567), field.NewFieldConst(17214424336396001022)}, + {field.NewFieldConst(15696035667318839817), field.NewFieldConst(13285870048485492127)}, + {field.NewFieldConst(6110244444680672193), field.NewFieldConst(17558548349689468031)}, + {field.NewFieldConst(14614078615782659381), field.NewFieldConst(13184024850613726857)}, + {field.NewFieldConst(1541592450520953410), field.NewFieldConst(18339388388315914026)}, + {field.NewFieldConst(8059386643769157052), field.NewFieldConst(10208764910817462305)}, + {field.NewFieldConst(7612459820354975117), field.NewFieldConst(7582060685277695926)}, + {field.NewFieldConst(12515587043516861064), field.NewFieldConst(16099239041553682288)}, + {field.NewFieldConst(14269196473871652102), field.NewFieldConst(1225067220600668761)}, + {field.NewFieldConst(12691255077510636187), field.NewFieldConst(14147201911063761532)}, + {field.NewFieldConst(3001134598446056765), field.NewFieldConst(14313090483058155636)}, + {field.NewFieldConst(13964993951988177315), field.NewFieldConst(17731737838539414275)}, + {field.NewFieldConst(2686259154263524343), field.NewFieldConst(12198712301337570859)}, + {field.NewFieldConst(6730431920128908773), field.NewFieldConst(4325394084875720868)}, + {field.NewFieldConst(988774723104779817), field.NewFieldConst(8388266879854983623)}, + {field.NewFieldConst(8233087560647959985), field.NewFieldConst(7751837576340060020)}, + {field.NewFieldConst(9546113779017699592), field.NewFieldConst(4049920632309298778)}, + {field.NewFieldConst(3283837251411237060), field.NewFieldConst(13560940050752580093)}, + {field.NewFieldConst(10388838746951897109), field.NewFieldConst(454393475113110282)}, + {field.NewFieldConst(2208016536897042313), field.NewFieldConst(17105586471193083308)}, + {field.NewFieldConst(17683990802267567604), field.NewFieldConst(15398473956537380705)}, + {field.NewFieldConst(70612752050386177), field.NewFieldConst(12349994002954022957)}, + {field.NewFieldConst(13794244952989612728), field.NewFieldConst(15888581169565306348)}, + {field.NewFieldConst(8270800566553141412), field.NewFieldConst(1516938823651329185)}, + {field.NewFieldConst(643507941153616368), field.NewFieldConst(3893451216814345882)}, + {field.NewFieldConst(16464837166410943694), field.NewFieldConst(11108183142967610977)}, + {field.NewFieldConst(9748621820629198396), field.NewFieldConst(3766489907402036319)}, + {field.NewFieldConst(3115179618981245947), field.NewFieldConst(10160994694067456423)}, + {field.NewFieldConst(4497210741038443097), field.NewFieldConst(6445446770984515259)}, + {field.NewFieldConst(5470898125882256227), field.NewFieldConst(8249357863801204908)}, + {field.NewFieldConst(16762380205819269382), field.NewFieldConst(172510727904060494)}, + {field.NewFieldConst(7920011253931301350), field.NewFieldConst(9681193995678483756)}, + {field.NewFieldConst(8258951043315574232), field.NewFieldConst(13137471323476190588)}, + {field.NewFieldConst(4339364527801481944), field.NewFieldConst(16862579756243326257)}, + {field.NewFieldConst(8980029737458438570), field.NewFieldConst(14651625524257781922)}, + {field.NewFieldConst(17935993907375677671), field.NewFieldConst(5318319737405476029)}, + {field.NewFieldConst(716791501623731831), field.NewFieldConst(18425818060734993303)}, + {field.NewFieldConst(601549076806364660), field.NewFieldConst(12303919727550310013)}, + {field.NewFieldConst(18026376178895562118), field.NewFieldConst(14687420532194520529)}, + {field.NewFieldConst(16943892475592026666), field.NewFieldConst(7451688507369746594)}, + {field.NewFieldConst(8724072308842121373), field.NewFieldConst(11662986251379699921)}, + {field.NewFieldConst(3201079129905071298), field.NewFieldConst(11542621183935331871)}, + {field.NewFieldConst(9889739070824270529), field.NewFieldConst(3891825006545095657)}, + {field.NewFieldConst(15538978715382418651), field.NewFieldConst(2419672705453973015)}, + {field.NewFieldConst(3001525234835174062), field.NewFieldConst(17115969716224377534)}, + {field.NewFieldConst(18001237923148428045), field.NewFieldConst(2198015511953873786)}, + {field.NewFieldConst(14186741561112601666), field.NewFieldConst(13156405199205086627)}, + {field.NewFieldConst(10166592177477126663), field.NewFieldConst(13586051001537885658)}, + {field.NewFieldConst(8678352780562557555), field.NewFieldConst(1968366090049630482)}, + {field.NewFieldConst(5627999915794840395), field.NewFieldConst(13597556392696072088)}, + {field.NewFieldConst(9291327714650886898), field.NewFieldConst(2411361999629511024)}, + {field.NewFieldConst(6824943761729555359), field.NewFieldConst(7484507209360908175)}, + {field.NewFieldConst(6276580084700132178), field.NewFieldConst(6246691657613415035)}, + {field.NewFieldConst(10736230409698057656), field.NewFieldConst(7306720219045064925)}, + {field.NewFieldConst(15442170485732017109), field.NewFieldConst(1739984147692575725)}, + {field.NewFieldConst(4448878124301402845), field.NewFieldConst(18436455114977877323)}, + {field.NewFieldConst(638012599023653143), field.NewFieldConst(16265955502846626936)}, + {field.NewFieldConst(6793907577559820653), field.NewFieldConst(15343551069946118619)}, + {field.NewFieldConst(17903286158968614509), field.NewFieldConst(9559701571149911252)}, + {field.NewFieldConst(14652006464960400785), field.NewFieldConst(50421020503848143)}, + {field.NewFieldConst(9452858006432860845), field.NewFieldConst(2625726945677447428)}, + {field.NewFieldConst(853640589013584892), field.NewFieldConst(14655161412118141649)}, + {field.NewFieldConst(12863832006745352780), field.NewFieldConst(14564189651136231029)}, + {field.NewFieldConst(8551517270810530438), field.NewFieldConst(10859465327758962622)}, + {field.NewFieldConst(10113468436120661191), field.NewFieldConst(16040944006557911589)}, + {field.NewFieldConst(4921439225277518643), field.NewFieldConst(8399175422965154512)}, + {field.NewFieldConst(13068240354812957183), field.NewFieldConst(8520393046894990946)}, + {field.NewFieldConst(1189183420107219532), field.NewFieldConst(18066897627856601789)}, + {field.NewFieldConst(3997900004790871153), field.NewFieldConst(1269718920871578117)}, + {field.NewFieldConst(15438784576472256462), field.NewFieldConst(9577304425687441047)}, + {field.NewFieldConst(17158083218962275971), field.NewFieldConst(17379790274576244684)}, + {field.NewFieldConst(3470452736936929010), field.NewFieldConst(12769555113044633230)}, + {field.NewFieldConst(18389243269515626865), field.NewFieldConst(8023737530782576805)}, + {field.NewFieldConst(3529213023405995549), field.NewFieldConst(8829896701928525938)}, + {field.NewFieldConst(14072413770981804653), field.NewFieldConst(9660693090213237836)}, + {field.NewFieldConst(14369435038913678671), field.NewFieldConst(7659129852562422871)}, + {field.NewFieldConst(6779301728445724040), field.NewFieldConst(18290152515233036523)}, + {field.NewFieldConst(8113954200727174254), field.NewFieldConst(16490002532983549952)}, + {field.NewFieldConst(11465655095604389561), field.NewFieldConst(9066100972825318010)}, + {field.NewFieldConst(15998691377748321442), field.NewFieldConst(16970045124898180365)}, + {field.NewFieldConst(8424730626816696233), field.NewFieldConst(17168184083072399403)}, + {field.NewFieldConst(1941959246552302666), field.NewFieldConst(6751013195867127440)}, + {field.NewFieldConst(1907519456922228224), field.NewFieldConst(689311996911195932)}, + {field.NewFieldConst(16277197060525435740), field.NewFieldConst(12018417724719716072)}, } var reducingExtensionGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(12512260201049243975), field.NewFieldConst(5104620179714279781)}, - {field.NewFieldConst(13013016297591764071), field.NewFieldConst(3905565448987160512)}, - 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{field.NewFieldConst(565455534266129104), field.NewFieldConst(12543354947937779806)}, + {field.NewFieldConst(16376588778962418386), field.NewFieldConst(1273250903423198860)}, + {field.NewFieldConst(4128104469872810921), field.NewFieldConst(1433037233801071123)}, + {field.NewFieldConst(6011337242244377340), field.NewFieldConst(16068106780789397185)}, + {field.NewFieldConst(4741354504248328629), field.NewFieldConst(3000853646720964165)}, + {field.NewFieldConst(13064594310789140866), field.NewFieldConst(10950406741883971259)}, + {field.NewFieldConst(17079026691450750925), field.NewFieldConst(6522027970928818261)}, + {field.NewFieldConst(13158136237489326416), field.NewFieldConst(7677629162183242732)}, + {field.NewFieldConst(14741398060174921234), field.NewFieldConst(2960243215156352194)}, + {field.NewFieldConst(9111161782199179468), field.NewFieldConst(8010960876261510099)}, + {field.NewFieldConst(1404837029582986528), field.NewFieldConst(9377230983302764181)}, + {field.NewFieldConst(7086781234814455260), field.NewFieldConst(7571558192372650697)}, + {field.NewFieldConst(5627013434503229817), field.NewFieldConst(14984048934926143304)}, + {field.NewFieldConst(2115495655441739405), field.NewFieldConst(1656704965110317534)}, + {field.NewFieldConst(2311846135199651566), field.NewFieldConst(17438437808346967358)}, + {field.NewFieldConst(8679806319651401773), field.NewFieldConst(3278538718508560579)}, + {field.NewFieldConst(7897681105604536660), field.NewFieldConst(10966573925848082711)}, + {field.NewFieldConst(5451958405177630542), field.NewFieldConst(9207735009647199721)}, + {field.NewFieldConst(8825486358121162697), field.NewFieldConst(15997852519026522914)}, + {field.NewFieldConst(475225211669491693), field.NewFieldConst(1907827506180042626)}, + {field.NewFieldConst(16033031089519343732), field.NewFieldConst(15009948832718035672)}, + {field.NewFieldConst(5048598591200038865), field.NewFieldConst(156574475928756206)}, + {field.NewFieldConst(3580311624647961767), field.NewFieldConst(6084715537433906996)}, + {field.NewFieldConst(9121009921295095324), field.NewFieldConst(18407759801432275235)}, + {field.NewFieldConst(16569013039730214123), field.NewFieldConst(3930908108224055041)}, + {field.NewFieldConst(13844066138909451365), field.NewFieldConst(6585754647203519368)}, + {field.NewFieldConst(14133345335167543367), field.NewFieldConst(3946807387480232364)}, + {field.NewFieldConst(9876285028806980582), field.NewFieldConst(40898067822033734)}, + {field.NewFieldConst(6293483059765701407), field.NewFieldConst(16009270905706605849)}, + {field.NewFieldConst(11635947241393753594), field.NewFieldConst(5053395178858294866)}, + {field.NewFieldConst(16062194595705166277), field.NewFieldConst(752574348595159408)}, + {field.NewFieldConst(15607597716340375230), field.NewFieldConst(10428583315124220143)}, + {field.NewFieldConst(6975301479426228318), field.NewFieldConst(16528136630898216147)}, + {field.NewFieldConst(16312827398430223622), field.NewFieldConst(17909475722464415780)}, + {field.NewFieldConst(2273087545743905667), field.NewFieldConst(12405446777919046866)}, + {field.NewFieldConst(14781933506876191161), field.NewFieldConst(4464109151368149713)}, + {field.NewFieldConst(4226716729950095934), field.NewFieldConst(8908251769229049654)}, + {field.NewFieldConst(8310476487592089883), field.NewFieldConst(3834672170570438819)}, + {field.NewFieldConst(4285568636604940795), field.NewFieldConst(7183765355016179794)}, + {field.NewFieldConst(14300853697824059506), field.NewFieldConst(16287477445929928328)}, + {field.NewFieldConst(1238186507267033247), field.NewFieldConst(12357102109973664962)}, + {field.NewFieldConst(15607388919140050768), field.NewFieldConst(15421065238069253306)}, + {field.NewFieldConst(12418734453826432586), field.NewFieldConst(12072056126139297564)}, + {field.NewFieldConst(3924467115116313620), field.NewFieldConst(1212362379653628161)}, + {field.NewFieldConst(8252514850759544679), field.NewFieldConst(7893938436444134034)}, + {field.NewFieldConst(711675815009325200), field.NewFieldConst(15678724077367989757)}, + {field.NewFieldConst(10920573406841924033), field.NewFieldConst(8189696933773246220)}, + {field.NewFieldConst(9737295100232588618), field.NewFieldConst(13383462338120177171)}, + {field.NewFieldConst(8983013033045953935), field.NewFieldConst(5301160793103788033)}, + {field.NewFieldConst(2086512740154274197), field.NewFieldConst(9511985884344255651)}, + {field.NewFieldConst(7404726366142548080), field.NewFieldConst(11257391295697140486)}, + {field.NewFieldConst(10045968629671906256), field.NewFieldConst(10721172752468420959)}, + {field.NewFieldConst(9499240237398016191), field.NewFieldConst(17996498955496851489)}, } // ReducingGate { num_coeffs: 44 } var reducingGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(2762695979854660261), field.NewFieldConst(6188975775006680731)}, - {field.NewFieldConst(1791331417935738626), field.NewFieldConst(17085037714198081810)}, - {field.NewFieldConst(2937679508710033736), field.NewFieldConst(5129621779087684534)}, - {field.NewFieldConst(481168721643876637), field.NewFieldConst(7141872137498120988)}, - {field.NewFieldConst(17254181100047942156), field.NewFieldConst(17775174281554210440)}, - {field.NewFieldConst(5198890470471443302), field.NewFieldConst(14888425516661975457)}, - {field.NewFieldConst(13028786198899252632), field.NewFieldConst(10937447292538980197)}, - {field.NewFieldConst(2265158031754703100), field.NewFieldConst(12577502307628934155)}, - {field.NewFieldConst(15551968276096003032), field.NewFieldConst(15292448269321193280)}, - {field.NewFieldConst(17365969756658867370), field.NewFieldConst(17369305944822545977)}, - {field.NewFieldConst(7080686817257839256), field.NewFieldConst(593963095520237279)}, - {field.NewFieldConst(9676311908112124362), field.NewFieldConst(15674622921902422959)}, - {field.NewFieldConst(11251136116732324348), field.NewFieldConst(18440217803596221468)}, - {field.NewFieldConst(3735056268905622852), field.NewFieldConst(13863980656029437128)}, - {field.NewFieldConst(8027041826265159623), field.NewFieldConst(11754189465873578671)}, - {field.NewFieldConst(17583392801264300641), field.NewFieldConst(6466906893845676112)}, - {field.NewFieldConst(10453982665201242303), field.NewFieldConst(10957427537661178463)}, - {field.NewFieldConst(8008073576872573103), field.NewFieldConst(15936946455243860971)}, - {field.NewFieldConst(10779255795330506743), field.NewFieldConst(1425676337306283564)}, - {field.NewFieldConst(13500038741878953694), field.NewFieldConst(5693690628820948906)}, - {field.NewFieldConst(6987584139748553407), field.NewFieldConst(4433192799815624764)}, - {field.NewFieldConst(3618013197373611562), field.NewFieldConst(15641412670596115335)}, - {field.NewFieldConst(4523765518023087797), field.NewFieldConst(5497960888090896635)}, - {field.NewFieldConst(8750545727419259671), field.NewFieldConst(17422860419602722677)}, - {field.NewFieldConst(17564615024878416866), field.NewFieldConst(16238022624102079273)}, - {field.NewFieldConst(3740814195084876131), field.NewFieldConst(17474834584441312839)}, - {field.NewFieldConst(2239459464265888484), field.NewFieldConst(8706775397593275819)}, - {field.NewFieldConst(6491352471800031726), field.NewFieldConst(209451190673168977)}, - {field.NewFieldConst(5778494879465125706), field.NewFieldConst(7142303398286289731)}, - {field.NewFieldConst(7094902435091460736), field.NewFieldConst(17694563561889239395)}, - {field.NewFieldConst(2647942785603144770), field.NewFieldConst(12183038555524816414)}, - {field.NewFieldConst(15100729453671585276), field.NewFieldConst(8119652948094623285)}, - {field.NewFieldConst(3441209666651626111), field.NewFieldConst(10072736477013237067)}, - {field.NewFieldConst(2372663484566761092), field.NewFieldConst(594324049190490986)}, - {field.NewFieldConst(4026947675295370811), field.NewFieldConst(1179770390904329138)}, - {field.NewFieldConst(1595271198725095132), field.NewFieldConst(15771888513051752701)}, - {field.NewFieldConst(15924194187528252748), field.NewFieldConst(6763066202850242722)}, - {field.NewFieldConst(1445670890851930788), field.NewFieldConst(3792635664222385076)}, - {field.NewFieldConst(12273956505460180574), field.NewFieldConst(2686688969956106705)}, - {field.NewFieldConst(11658870742027189182), field.NewFieldConst(12329880551401953731)}, - {field.NewFieldConst(3044295792231373345), field.NewFieldConst(17852841657875251990)}, - {field.NewFieldConst(89567881331820860), field.NewFieldConst(15259944608836914642)}, - {field.NewFieldConst(358286967559220432), field.NewFieldConst(4492752479771433484)}, - {field.NewFieldConst(14577916428537408584), field.NewFieldConst(13741732911292090813)}, - {field.NewFieldConst(16727747831341625951), field.NewFieldConst(17003066965000183599)}, - {field.NewFieldConst(9070359631236984957), field.NewFieldConst(6062623613509003067)}, - {field.NewFieldConst(2410743624398118478), field.NewFieldConst(13772226839431038397)}, - {field.NewFieldConst(11807638155649559084), field.NewFieldConst(1137111487688533470)}, - {field.NewFieldConst(64491941894197002), field.NewFieldConst(5868353091743239378)}, - {field.NewFieldConst(11301275742904392411), field.NewFieldConst(16283949803466884532)}, - {field.NewFieldConst(9890416519568149104), field.NewFieldConst(8227793073753762383)}, - {field.NewFieldConst(14951282035757983160), field.NewFieldConst(9077678991191664958)}, - {field.NewFieldConst(5033664288544688549), field.NewFieldConst(9192774674510226248)}, - {field.NewFieldConst(11933408140918977315), field.NewFieldConst(7749057899233101160)}, - {field.NewFieldConst(9164812869909307746), field.NewFieldConst(1719896377847214041)}, - {field.NewFieldConst(15224563238586628983), field.NewFieldConst(2588693305957079413)}, - {field.NewFieldConst(1889812039818739618), field.NewFieldConst(4817606363423939521)}, - {field.NewFieldConst(15609561908880497864), field.NewFieldConst(11885907317258609874)}, - {field.NewFieldConst(6792442952488353934), field.NewFieldConst(15088298397252768139)}, - {field.NewFieldConst(2651197118788035780), field.NewFieldConst(5089685590535462009)}, - {field.NewFieldConst(11982358277830572398), field.NewFieldConst(15471174962798992515)}, - {field.NewFieldConst(7639615465545578427), field.NewFieldConst(12644783892223098985)}, - {field.NewFieldConst(11009184909998310074), field.NewFieldConst(17958525789123172556)}, - {field.NewFieldConst(7777052961871412232), field.NewFieldConst(9786263008632335028)}, - {field.NewFieldConst(13336166292448975341), field.NewFieldConst(15263885337654327510)}, - {field.NewFieldConst(12764160635364533900), field.NewFieldConst(15411617803867471736)}, - {field.NewFieldConst(17491426030593864841), field.NewFieldConst(2688540155718191896)}, - {field.NewFieldConst(4278381039362706308), field.NewFieldConst(17571997178209012848)}, - {field.NewFieldConst(12726900947926109267), field.NewFieldConst(1433345131505837369)}, - {field.NewFieldConst(6334884250665613762), field.NewFieldConst(9617978266076057841)}, - {field.NewFieldConst(17511031815464775451), field.NewFieldConst(12281753446186189470)}, - {field.NewFieldConst(10718030381939087273), field.NewFieldConst(10785278464322784199)}, - {field.NewFieldConst(6964802145991989973), field.NewFieldConst(5630451507536431311)}, - {field.NewFieldConst(1610931441749714598), field.NewFieldConst(17306081287063918214)}, - {field.NewFieldConst(12529885758752979710), field.NewFieldConst(12015226868538417544)}, - {field.NewFieldConst(8212526954290021947), field.NewFieldConst(2604665677904480075)}, - {field.NewFieldConst(836429499775217902), field.NewFieldConst(14951071826451735988)}, - {field.NewFieldConst(4322887569225425418), field.NewFieldConst(1803870148496860526)}, - {field.NewFieldConst(11933437515394389470), field.NewFieldConst(5432495301370703205)}, - {field.NewFieldConst(15379632811901291758), field.NewFieldConst(16475440758252311235)}, - {field.NewFieldConst(8378463548508566883), field.NewFieldConst(12576809460019959325)}, - {field.NewFieldConst(6878478934798340017), field.NewFieldConst(16203041885409513004)}, - {field.NewFieldConst(4704361120432029530), field.NewFieldConst(15619278597929334259)}, - {field.NewFieldConst(11896486732715322997), field.NewFieldConst(13476483500406677625)}, - {field.NewFieldConst(3818194554960853168), field.NewFieldConst(17483945143600046041)}, - {field.NewFieldConst(16655838413972803560), field.NewFieldConst(7859620736875007555)}, - {field.NewFieldConst(9466644546267012606), field.NewFieldConst(15636572488448679353)}, - {field.NewFieldConst(7705051962598852604), field.NewFieldConst(17843247208046088041)}, + {field.NewFieldConst(4189565386714553574), field.NewFieldConst(14972099283023295929)}, + {field.NewFieldConst(4811224976739448335), field.NewFieldConst(17901409314576454439)}, + {field.NewFieldConst(5140059407491502784), field.NewFieldConst(1144330742785924570)}, + {field.NewFieldConst(7077436393778991453), field.NewFieldConst(13398199711778224412)}, + {field.NewFieldConst(11213768990622043903), field.NewFieldConst(3886053425349218150)}, + {field.NewFieldConst(2946099412905029571), field.NewFieldConst(16515307040211357295)}, + {field.NewFieldConst(11766152895257088950), field.NewFieldConst(12561350435611412995)}, + {field.NewFieldConst(15559670172179416359), field.NewFieldConst(14246884723129607378)}, + {field.NewFieldConst(5240707719525548158), field.NewFieldConst(1640773599873992510)}, + {field.NewFieldConst(14358821079049832289), field.NewFieldConst(2746855687282611080)}, + {field.NewFieldConst(3214086216088588558), field.NewFieldConst(1520697626094905530)}, + {field.NewFieldConst(9834748172213967248), field.NewFieldConst(13487010468070558667)}, + {field.NewFieldConst(1423442768503334248), field.NewFieldConst(10945790255819476518)}, + {field.NewFieldConst(2308372186436983690), field.NewFieldConst(8803174935784778070)}, + {field.NewFieldConst(9995833078447025147), field.NewFieldConst(9074310518079663649)}, + {field.NewFieldConst(14149697874498108875), field.NewFieldConst(15875817120435194028)}, + {field.NewFieldConst(14564758547073982656), field.NewFieldConst(13386335755835868953)}, + {field.NewFieldConst(6432745607675418074), field.NewFieldConst(8030247499566565321)}, + {field.NewFieldConst(17308235779926438117), field.NewFieldConst(16843697410674499818)}, + {field.NewFieldConst(15507223129386571868), field.NewFieldConst(3935281607585552366)}, + {field.NewFieldConst(16041402982622709805), field.NewFieldConst(12432717078068957835)}, + {field.NewFieldConst(6455955094164032063), field.NewFieldConst(2435635342699968412)}, + {field.NewFieldConst(9814981570869789379), field.NewFieldConst(5009257884262115226)}, + {field.NewFieldConst(9452031978763862902), field.NewFieldConst(15609083603899848676)}, + {field.NewFieldConst(13532623109002857304), field.NewFieldConst(7324541443245949391)}, + {field.NewFieldConst(7899075212455453622), field.NewFieldConst(14276489152002439614)}, + {field.NewFieldConst(2403019844704266911), field.NewFieldConst(5922544710604013781)}, + {field.NewFieldConst(9709471021111675830), field.NewFieldConst(5538539165068927028)}, + {field.NewFieldConst(15700585567216041265), field.NewFieldConst(17893894492159337326)}, + {field.NewFieldConst(8890003199638063977), field.NewFieldConst(17726621767321974437)}, + {field.NewFieldConst(389239919653982052), field.NewFieldConst(3497778410650283061)}, + {field.NewFieldConst(845227572644858827), field.NewFieldConst(7040344997713673855)}, + {field.NewFieldConst(9861253052349275208), field.NewFieldConst(1880449137233040023)}, + {field.NewFieldConst(9239454143759318515), field.NewFieldConst(7968256557482935820)}, + {field.NewFieldConst(12576879243038758854), field.NewFieldConst(9784626207087825707)}, + {field.NewFieldConst(14811673587164089973), field.NewFieldConst(10785522535030299714)}, + {field.NewFieldConst(696437091186897361), field.NewFieldConst(13293602092569033065)}, + {field.NewFieldConst(1240161179290551759), field.NewFieldConst(9542275505416038259)}, + {field.NewFieldConst(5298553932515957396), field.NewFieldConst(14597738151157731445)}, + {field.NewFieldConst(8472517818840783225), field.NewFieldConst(7685861056688910111)}, + {field.NewFieldConst(10067665523858551777), field.NewFieldConst(13019870415534016025)}, + {field.NewFieldConst(3030966178198674680), field.NewFieldConst(10107838846102885642)}, + {field.NewFieldConst(6762889891370677550), field.NewFieldConst(16151528872832782368)}, + {field.NewFieldConst(17207754552662723664), field.NewFieldConst(15168039969859158460)}, + {field.NewFieldConst(9111161782199179468), field.NewFieldConst(8010960876261510099)}, + {field.NewFieldConst(1212079098724692260), field.NewFieldConst(3976842077579916925)}, + {field.NewFieldConst(8111924351272477885), field.NewFieldConst(1472738463707044435)}, + {field.NewFieldConst(14549763060495382561), field.NewFieldConst(8148654488443197206)}, + {field.NewFieldConst(9633247645878352168), field.NewFieldConst(4173826759172401145)}, + {field.NewFieldConst(13429667484612728110), field.NewFieldConst(139708813783643870)}, + {field.NewFieldConst(11164941208889426013), field.NewFieldConst(3615779386887825309)}, + {field.NewFieldConst(15733773570058687441), field.NewFieldConst(11172582394325691371)}, + {field.NewFieldConst(11237663549079845099), field.NewFieldConst(375954911737718734)}, + {field.NewFieldConst(14815280969174152094), field.NewFieldConst(17903238907570421232)}, + {field.NewFieldConst(12264332321023153985), field.NewFieldConst(4996015210046477989)}, + {field.NewFieldConst(5733452693326962912), field.NewFieldConst(15445457134261228447)}, + {field.NewFieldConst(11339891595047637420), field.NewFieldConst(762619178430884475)}, + {field.NewFieldConst(10413672060220880988), field.NewFieldConst(2522708614237496949)}, + {field.NewFieldConst(4759794002943168525), field.NewFieldConst(8366670758049431064)}, + {field.NewFieldConst(11081128192182141387), field.NewFieldConst(5264843790841556843)}, + {field.NewFieldConst(16467547707866820269), field.NewFieldConst(10395994280728082037)}, + {field.NewFieldConst(7372902852922723938), field.NewFieldConst(6597057511414169148)}, + {field.NewFieldConst(1246550990665510080), field.NewFieldConst(369146659419534786)}, + {field.NewFieldConst(107137977263990694), field.NewFieldConst(13480217899797734610)}, + {field.NewFieldConst(9352391006524927052), field.NewFieldConst(16474580549927501346)}, + {field.NewFieldConst(11475195577527382963), field.NewFieldConst(16771481018793784004)}, + {field.NewFieldConst(7763817490144412733), field.NewFieldConst(7847907679735875325)}, + {field.NewFieldConst(6954934416977006194), field.NewFieldConst(1588175103882481774)}, + {field.NewFieldConst(208699790124989138), field.NewFieldConst(104050776110144395)}, + {field.NewFieldConst(1999712470949493845), field.NewFieldConst(14640293671425837284)}, + {field.NewFieldConst(17489389210332023693), field.NewFieldConst(1485853484717956236)}, + {field.NewFieldConst(13389678828109836153), field.NewFieldConst(12239927773742888217)}, + {field.NewFieldConst(7279356606052782033), field.NewFieldConst(16889809967345118643)}, + {field.NewFieldConst(5530632913824527303), field.NewFieldConst(6593916246324540830)}, + {field.NewFieldConst(6517985275757881887), field.NewFieldConst(1094679265639341934)}, + {field.NewFieldConst(16005022297334791008), field.NewFieldConst(2231375568117939019)}, + {field.NewFieldConst(7801581545066110268), field.NewFieldConst(16195585011186011335)}, + {field.NewFieldConst(2346311239309318787), field.NewFieldConst(10194252071441594046)}, + {field.NewFieldConst(1333414916806612489), field.NewFieldConst(4078668601880487193)}, + {field.NewFieldConst(17162202837341088150), field.NewFieldConst(3946492721743094611)}, + {field.NewFieldConst(2372952988964786162), field.NewFieldConst(14459600129361968991)}, + {field.NewFieldConst(15958985504784681452), field.NewFieldConst(18297567352909625870)}, + {field.NewFieldConst(5468110010239944205), field.NewFieldConst(1297673223075459793)}, + {field.NewFieldConst(5916958362061888790), field.NewFieldConst(12686064186569549334)}, + {field.NewFieldConst(17141186363273294375), field.NewFieldConst(5330662447468959333)}, + {field.NewFieldConst(9597329746711776008), field.NewFieldConst(13290917949843243492)}, + {field.NewFieldConst(9061260430036409956), field.NewFieldConst(10642927510372211646)}, + {field.NewFieldConst(9766392710518436993), field.NewFieldConst(1864738510099355769)}, } // ArithmeticExtensionGate { num_ops: 10 } var arithmeticExtensionGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(18152046378789398239), field.NewFieldConst(835198655627980634)}, - {field.NewFieldConst(14941458349516937745), field.NewFieldConst(195899842055585620)}, - {field.NewFieldConst(11444294347859626222), field.NewFieldConst(7618743177769594838)}, - {field.NewFieldConst(6847392923782354441), field.NewFieldConst(3129968840755754688)}, - {field.NewFieldConst(11707145384221145922), field.NewFieldConst(286105987739288036)}, - {field.NewFieldConst(2582465953258947981), field.NewFieldConst(9032385332294381140)}, - {field.NewFieldConst(13238521192691745149), field.NewFieldConst(9704746731861618809)}, - {field.NewFieldConst(1830772271680123935), field.NewFieldConst(2037318884130759975)}, - {field.NewFieldConst(5532751095564029866), field.NewFieldConst(11560707807043359130)}, - {field.NewFieldConst(4749576916935014495), field.NewFieldConst(2144864975020203842)}, - {field.NewFieldConst(18162899505828592791), field.NewFieldConst(13853020020051211390)}, - {field.NewFieldConst(16196741394015376387), field.NewFieldConst(16087121152637055080)}, - {field.NewFieldConst(15478783842112089677), field.NewFieldConst(8151788319455760610)}, - {field.NewFieldConst(4962260057365923941), field.NewFieldConst(12155107209004037964)}, - {field.NewFieldConst(18192514584072489162), field.NewFieldConst(2336293494478946065)}, - {field.NewFieldConst(3747540982963754880), field.NewFieldConst(5650114101530259911)}, - {field.NewFieldConst(17757207146926514655), field.NewFieldConst(13461601821205159205)}, - {field.NewFieldConst(17921720474545785568), field.NewFieldConst(4718996085070502683)}, - {field.NewFieldConst(4443998758263224376), field.NewFieldConst(13890461367328975727)}, - {field.NewFieldConst(13990958094457190244), field.NewFieldConst(3783673559976842909)}, + {field.NewFieldConst(14556369430662721230), field.NewFieldConst(4131185000258568561)}, + {field.NewFieldConst(16378466706564867046), field.NewFieldConst(1439052841211884527)}, + {field.NewFieldConst(8231479592213172392), field.NewFieldConst(8409169031581010782)}, + {field.NewFieldConst(5465959779370835700), field.NewFieldConst(17016702720873000919)}, + {field.NewFieldConst(10611951970626560747), field.NewFieldConst(11015475306668399283)}, + {field.NewFieldConst(6566683434087540889), field.NewFieldConst(7528162900166069532)}, + {field.NewFieldConst(13167150559619768862), field.NewFieldConst(15618445283750881414)}, + {field.NewFieldConst(14768578132422983729), field.NewFieldConst(13938407401080069149)}, + {field.NewFieldConst(18415232841919605685), field.NewFieldConst(15088528771916927003)}, + {field.NewFieldConst(1305736199568141897), field.NewFieldConst(16885250849392919438)}, + {field.NewFieldConst(1425549592953864549), field.NewFieldConst(1074162823816629148)}, + {field.NewFieldConst(12616210534513128803), field.NewFieldConst(8618852250387339753)}, + {field.NewFieldConst(16775588216530426832), field.NewFieldConst(16358913853138883160)}, + {field.NewFieldConst(236831045676808583), field.NewFieldConst(16231688985959438642)}, + {field.NewFieldConst(264831195814170716), field.NewFieldConst(9852325877887114505)}, + {field.NewFieldConst(14065541678187010167), field.NewFieldConst(5594602585697559035)}, + {field.NewFieldConst(2354884863196165822), field.NewFieldConst(12715102096346587892)}, + {field.NewFieldConst(5881791209743274427), field.NewFieldConst(1913490798645218291)}, + {field.NewFieldConst(3621056055759314065), field.NewFieldConst(15076066883455218113)}, + {field.NewFieldConst(15382741815013668685), field.NewFieldConst(5674166256062091576)}, } // MulExtensionGate { num_ops: 13 } var mulExtensionGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(7181113876231745794), field.NewFieldConst(7868884260109104825)}, - {field.NewFieldConst(14067639069854412134), field.NewFieldConst(2094238260641413106)}, - {field.NewFieldConst(3160167686452082144), field.NewFieldConst(15508587061137009544)}, - {field.NewFieldConst(2701966180261760724), field.NewFieldConst(49742798193009777)}, - {field.NewFieldConst(16965594259972472645), field.NewFieldConst(15119035756932709035)}, - {field.NewFieldConst(8587305003975146248), field.NewFieldConst(11788991692426475292)}, - {field.NewFieldConst(13134841191650990099), field.NewFieldConst(12468857767882216027)}, - {field.NewFieldConst(5079312787147663415), field.NewFieldConst(315076378722635206)}, - {field.NewFieldConst(4656603487897834248), field.NewFieldConst(4455086801173740459)}, - {field.NewFieldConst(3630077482584148572), field.NewFieldConst(3283664780554963370)}, - {field.NewFieldConst(1781217475359761081), field.NewFieldConst(17627776820166298232)}, - {field.NewFieldConst(5917159494270473360), field.NewFieldConst(6025450051539258087)}, - {field.NewFieldConst(6450855110748081528), field.NewFieldConst(7446684637376438458)}, - {field.NewFieldConst(8607810652222212781), field.NewFieldConst(7298919685405344815)}, - {field.NewFieldConst(13906434081686233303), field.NewFieldConst(13101189135710264580)}, - {field.NewFieldConst(6489826249831576523), field.NewFieldConst(11224737887667008267)}, - {field.NewFieldConst(3580221348553931303), field.NewFieldConst(4662435202527050543)}, - {field.NewFieldConst(7286527320055156837), field.NewFieldConst(15670292738296412147)}, - {field.NewFieldConst(2095892346123668330), field.NewFieldConst(5572639395382198548)}, - {field.NewFieldConst(11836511250144945185), field.NewFieldConst(6212767141717037414)}, - {field.NewFieldConst(12781535798978127236), field.NewFieldConst(14467390350363203888)}, - {field.NewFieldConst(2635017860820288214), field.NewFieldConst(6092079726747224779)}, - {field.NewFieldConst(18057143820634196774), field.NewFieldConst(16137749920970128474)}, - {field.NewFieldConst(16754543715625171524), field.NewFieldConst(15674433195919785024)}, - {field.NewFieldConst(2135423350522303111), field.NewFieldConst(32407260862438164)}, - {field.NewFieldConst(14956506296276270245), field.NewFieldConst(1145919757338314609)}, -} - -// ExponentiationGate { num_power_bits: 67, _phantom: PhantomData } -var exponentiationGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(11917134172330913896), field.NewFieldConst(17387498340632768165)}, - {field.NewFieldConst(1312379412936626785), field.NewFieldConst(8487972230502205858)}, - {field.NewFieldConst(1034346392193469803), field.NewFieldConst(10387255969849204765)}, - {field.NewFieldConst(8975374558919785259), field.NewFieldConst(8379061308496297909)}, - {field.NewFieldConst(5137354887085653470), field.NewFieldConst(18342299770587131344)}, - {field.NewFieldConst(11284168756796657450), field.NewFieldConst(13822895496426653701)}, - {field.NewFieldConst(235168160386175185), field.NewFieldConst(17356178727442490793)}, - {field.NewFieldConst(11012326969983488833), field.NewFieldConst(13315935561725076264)}, - {field.NewFieldConst(11064160789252923988), field.NewFieldConst(243775009899162201)}, - {field.NewFieldConst(17368303548433332975), field.NewFieldConst(15625080509274199608)}, - {field.NewFieldConst(5849122830228985352), field.NewFieldConst(5103229940930953650)}, - {field.NewFieldConst(14713362802405597126), field.NewFieldConst(8157398625845036781)}, - {field.NewFieldConst(16495373179302807753), field.NewFieldConst(4597863041430416411)}, - {field.NewFieldConst(3274329863393011112), field.NewFieldConst(8955190641874111502)}, - {field.NewFieldConst(4704531612240997322), field.NewFieldConst(2253948388369651634)}, - {field.NewFieldConst(13333514818352143222), field.NewFieldConst(4999457874559250243)}, - {field.NewFieldConst(2284463506187861590), field.NewFieldConst(13765412523042072026)}, - {field.NewFieldConst(16636340184626646426), field.NewFieldConst(3174763529046637372)}, - {field.NewFieldConst(5336400619848923540), field.NewFieldConst(10513883740898299385)}, - {field.NewFieldConst(14200134528033869480), field.NewFieldConst(11039588311485209657)}, - {field.NewFieldConst(18377155443679293884), field.NewFieldConst(13521764320839726823)}, - {field.NewFieldConst(242773453939591946), field.NewFieldConst(6326451192242543829)}, - {field.NewFieldConst(1296949085249594883), field.NewFieldConst(7990211688523987915)}, - {field.NewFieldConst(5510982641888481009), field.NewFieldConst(10552089306004766754)}, - {field.NewFieldConst(10914255593671877946), field.NewFieldConst(18175495064507840841)}, - {field.NewFieldConst(7575617967752753230), field.NewFieldConst(9665518441862148402)}, - {field.NewFieldConst(14351249981525100362), field.NewFieldConst(5763278800672952095)}, - {field.NewFieldConst(16319397571073742470), field.NewFieldConst(1318308384414985616)}, - {field.NewFieldConst(12030088917335470405), field.NewFieldConst(6668172884819717021)}, - {field.NewFieldConst(17509060699703766693), field.NewFieldConst(1489607021074587548)}, - {field.NewFieldConst(1096695845774334385), field.NewFieldConst(6122861634465429123)}, - {field.NewFieldConst(13460252757128783693), field.NewFieldConst(17777045084091738197)}, - {field.NewFieldConst(14557885155010631641), field.NewFieldConst(4298885986874834349)}, - {field.NewFieldConst(3635088766034344822), field.NewFieldConst(8827496887313967507)}, - {field.NewFieldConst(6550916348715580989), field.NewFieldConst(4180030543088252998)}, - {field.NewFieldConst(16051569484464055768), field.NewFieldConst(2121040925634405127)}, - {field.NewFieldConst(1788913367411914907), field.NewFieldConst(10745316805250218547)}, - {field.NewFieldConst(4832917661842853637), field.NewFieldConst(1148465658973892394)}, - {field.NewFieldConst(9162757057100424164), field.NewFieldConst(7814738929773741429)}, - {field.NewFieldConst(13840071942242698046), field.NewFieldConst(12500211120922811757)}, - {field.NewFieldConst(10699948139249128560), field.NewFieldConst(4891144553679573560)}, - {field.NewFieldConst(14602444997841482522), field.NewFieldConst(17017251371157941125)}, - {field.NewFieldConst(586839629673374241), field.NewFieldConst(3363863469002405744)}, - {field.NewFieldConst(9011045001648305113), field.NewFieldConst(7085187243048562102)}, - {field.NewFieldConst(13032999395920684322), field.NewFieldConst(6189400872664562846)}, - {field.NewFieldConst(8971070287177655421), field.NewFieldConst(12582676780734324056)}, - {field.NewFieldConst(558400378011382278), field.NewFieldConst(6298195151594790629)}, - {field.NewFieldConst(17192073729541567806), field.NewFieldConst(5497805500866221538)}, - {field.NewFieldConst(5728605922884243514), field.NewFieldConst(18070340533610014206)}, - {field.NewFieldConst(15473455953886985277), field.NewFieldConst(11635823818659992567)}, - {field.NewFieldConst(7477545430207969908), field.NewFieldConst(2742755471302540300)}, - {field.NewFieldConst(12407179232895419141), field.NewFieldConst(17302315821428133291)}, - {field.NewFieldConst(12858531909631903407), field.NewFieldConst(14746185565916474858)}, - {field.NewFieldConst(12872867896453911017), field.NewFieldConst(6563250576201773751)}, - {field.NewFieldConst(3384183107205264844), field.NewFieldConst(11512795156033923138)}, - {field.NewFieldConst(8430135350637925522), field.NewFieldConst(10199901650713033996)}, - {field.NewFieldConst(11167364659650598214), field.NewFieldConst(447394121422751322)}, - {field.NewFieldConst(4931438368828291722), field.NewFieldConst(16717867949669373753)}, - {field.NewFieldConst(5151270559741115914), field.NewFieldConst(45949586886299827)}, - {field.NewFieldConst(11159644559144981603), field.NewFieldConst(2120703503452727949)}, - {field.NewFieldConst(8830601119784247875), field.NewFieldConst(8542262650554393830)}, - {field.NewFieldConst(6142186624494698182), field.NewFieldConst(7120939306807396235)}, - {field.NewFieldConst(11716893898091265261), field.NewFieldConst(4311673012489504666)}, - {field.NewFieldConst(2133003157459487893), field.NewFieldConst(1909522153859214178)}, - {field.NewFieldConst(427412581044646901), field.NewFieldConst(15454912207372224939)}, - {field.NewFieldConst(1842301960762096227), field.NewFieldConst(12476329615991638721)}, - {field.NewFieldConst(696538585954127499), field.NewFieldConst(2702122491633241201)}, - {field.NewFieldConst(5755584054765687076), field.NewFieldConst(5430280214517080555)}, + {field.NewFieldConst(14558272317822654580), field.NewFieldConst(833215892324477732)}, + {field.NewFieldConst(9214806296346539012), field.NewFieldConst(7798842673847612486)}, + {field.NewFieldConst(4933313819253472884), field.NewFieldConst(17115399133104593821)}, + {field.NewFieldConst(6382294466663581729), field.NewFieldConst(8863722647290983592)}, + {field.NewFieldConst(5274430631758054179), field.NewFieldConst(1761561038204031519)}, + {field.NewFieldConst(6975818216493368257), field.NewFieldConst(3643153118790582585)}, + {field.NewFieldConst(9382708770545050748), field.NewFieldConst(2040988809014144797)}, + {field.NewFieldConst(7526300035416853327), field.NewFieldConst(8692405747344509879)}, + {field.NewFieldConst(6092157877842311771), field.NewFieldConst(5767914690949635280)}, + {field.NewFieldConst(3636879736078164520), field.NewFieldConst(454792903724498694)}, + {field.NewFieldConst(5982213211108308130), field.NewFieldConst(3906161453783544349)}, + {field.NewFieldConst(1353999567434327832), field.NewFieldConst(3912356165392315450)}, + {field.NewFieldConst(3866250282554618990), field.NewFieldConst(14215790041865539111)}, + {field.NewFieldConst(16972659905821970574), field.NewFieldConst(2550277288305104044)}, + {field.NewFieldConst(6739526869755283609), field.NewFieldConst(4676222628249438354)}, + {field.NewFieldConst(18314541579046409607), field.NewFieldConst(13871312232745645647)}, + {field.NewFieldConst(13309435341537760906), field.NewFieldConst(10879629980202564460)}, + {field.NewFieldConst(8149445702527176593), field.NewFieldConst(12079787385488004774)}, + {field.NewFieldConst(141936326832390573), field.NewFieldConst(9852981409020916366)}, + {field.NewFieldConst(1174277439708011834), field.NewFieldConst(11084240604056156653)}, + {field.NewFieldConst(3890191667424476902), field.NewFieldConst(1428130379783403165)}, + {field.NewFieldConst(18264002552181363059), field.NewFieldConst(17855293364353531924)}, + {field.NewFieldConst(1657518282890904146), field.NewFieldConst(14874491364689193658)}, + {field.NewFieldConst(9091236796792826297), field.NewFieldConst(18232800981045995203)}, + {field.NewFieldConst(7965395014621568897), field.NewFieldConst(15643014489741966811)}, + {field.NewFieldConst(14048129594584036134), field.NewFieldConst(8880723489474532129)}, } // 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 } var cosetInterpolationGateExpectedConstraints = []field.QuadraticExtension{ - {field.NewFieldConst(13782516617623808439), field.NewFieldConst(15116825128522139629)}, - {field.NewFieldConst(10605488313706531843), field.NewFieldConst(16124703860676816956)}, - {field.NewFieldConst(2725554495824998780), field.NewFieldConst(13477621298303015045)}, - {field.NewFieldConst(2936187345854242438), field.NewFieldConst(5827982872566017395)}, - {field.NewFieldConst(11223822863576777799), field.NewFieldConst(2143123911507599653)}, - {field.NewFieldConst(4839015650475288776), field.NewFieldConst(745790217755162273)}, - {field.NewFieldConst(2205634412980832213), field.NewFieldConst(15767892564871259137)}, - {field.NewFieldConst(9091626478775122653), field.NewFieldConst(9730482292097571809)}, - {field.NewFieldConst(10636787321971723634), field.NewFieldConst(14666593583448965088)}, - {field.NewFieldConst(7179924177530514890), field.NewFieldConst(10610536358289043895)}, - {field.NewFieldConst(15067680125330943902), field.NewFieldConst(17960901266185771082)}, - {field.NewFieldConst(5184847499291037169), field.NewFieldConst(16061742535733361053)}, + {field.NewFieldConst(4489474937116132272), field.NewFieldConst(17966585078409280607)}, + {field.NewFieldConst(6284821823752419954), field.NewFieldConst(15732864946173560339)}, + {field.NewFieldConst(12879723719779486283), field.NewFieldConst(983649133858104142)}, + {field.NewFieldConst(17293136937393925432), field.NewFieldConst(4033193666483141970)}, + {field.NewFieldConst(10809912963683055710), field.NewFieldConst(3166226310305151244)}, + {field.NewFieldConst(13051854837169808452), field.NewFieldConst(12636844243964449888)}, + {field.NewFieldConst(15180422697988222141), field.NewFieldConst(3172471974421734205)}, + {field.NewFieldConst(7715327263429433235), field.NewFieldConst(14269461688353925342)}, + {field.NewFieldConst(7348198793616724228), field.NewFieldConst(11426363269581761252)}, + {field.NewFieldConst(6529761710182712179), field.NewFieldConst(15370899814178958348)}, + {field.NewFieldConst(1312640305437468539), field.NewFieldConst(7416725026793550034)}, + {field.NewFieldConst(7435934314089172319), field.NewFieldConst(8931511780309647479)}, +} + +// PoseidonMdsGate(PhantomData)" +var poseidonMdsGateExpectedConstraints = []field.QuadraticExtension{ + {field.NewFieldConst(7821764612044984890), field.NewFieldConst(11645399715550800761)}, + {field.NewFieldConst(7054686226368496581), field.NewFieldConst(3456599659382547499)}, + {field.NewFieldConst(9932401212201586910), field.NewFieldConst(15935184283784595275)}, + {field.NewFieldConst(14850232436396031573), field.NewFieldConst(10054869170615550942)}, + {field.NewFieldConst(17859784214232634920), field.NewFieldConst(3141019307077014353)}, + {field.NewFieldConst(1316926243065869924), field.NewFieldConst(5447399801288094074)}, + {field.NewFieldConst(12198784876096903918), field.NewFieldConst(10976551553233951532)}, + {field.NewFieldConst(3280500541526908156), field.NewFieldConst(1813330468204166522)}, + {field.NewFieldConst(6788483962196012692), field.NewFieldConst(15983747071745976199)}, + {field.NewFieldConst(3372073447943379816), field.NewFieldConst(9356836818900551936)}, + {field.NewFieldConst(13834815153351545489), field.NewFieldConst(1073963211629459057)}, + {field.NewFieldConst(15376716257200419051), field.NewFieldConst(16044430964768811142)}, + {field.NewFieldConst(16752138206727891451), field.NewFieldConst(6303059651352280564)}, + {field.NewFieldConst(17195959285241102556), field.NewFieldConst(10990140109461952122)}, + {field.NewFieldConst(16812594260057394716), field.NewFieldConst(5841834090350584793)}, + {field.NewFieldConst(17706037262140285164), field.NewFieldConst(8626184557677598926)}, + {field.NewFieldConst(6826825357492466350), field.NewFieldConst(17865947929743097490)}, + {field.NewFieldConst(13679887869755160737), field.NewFieldConst(16481628195512675795)}, + {field.NewFieldConst(7881296289635150478), field.NewFieldConst(15368930380652981390)}, + {field.NewFieldConst(12075171536836315078), field.NewFieldConst(12900345753644751245)}, + {field.NewFieldConst(11461113822534614109), field.NewFieldConst(2937306395206947398)}, + {field.NewFieldConst(18365572828001780476), field.NewFieldConst(4309067613742479326)}, + {field.NewFieldConst(9460729461000852035), field.NewFieldConst(9232487430983842586)}, + {field.NewFieldConst(9920817005263779727), field.NewFieldConst(16326126591726196229)}, } type TestGateCircuit struct { @@ -728,7 +684,7 @@ type TestGateCircuit struct { } func (circuit *TestGateCircuit) Define(api frontend.API) error { - commonCircuitData := utils.DeserializeCommonCircuitData("../../data/recursive_step/common_circuit_data.json") + commonCircuitData := utils.DeserializeCommonCircuitData("../../data/decode_block/common_circuit_data.json") numSelectors := commonCircuitData.SelectorsInfo.NumSelectors() fieldAPI := field.NewFieldAPI(api) @@ -765,15 +721,14 @@ func TestGates(t *testing.T) { gateTests := []gateTest{ {gates.NewPublicInputGate(), publicInputGateExpectedConstraints}, - {gates.NewArithmeticGate(20), arithmeticGateExpectedConstraints}, {gates.NewBaseSumGate(63, 2), baseSumGateExpectedConstraints}, + {gates.NewArithmeticGate(20), arithmeticGateExpectedConstraints}, {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, @@ -796,6 +751,7 @@ func TestGates(t *testing.T) { goldilocks.NewElement(4294967296), }, ), cosetInterpolationGateExpectedConstraints}, + {&gates.PoseidonMdsGate{}, poseidonMdsGateExpectedConstraints}, } for _, test := range gateTests { diff --git a/verifier/internal/gates/poseidon_mds_gate.go b/verifier/internal/gates/poseidon_mds_gate.go new file mode 100644 index 0000000..49540b2 --- /dev/null +++ b/verifier/internal/gates/poseidon_mds_gate.go @@ -0,0 +1,86 @@ +package gates + +import ( + "regexp" + + "github.com/consensys/gnark/frontend" + "github.com/succinctlabs/gnark-plonky2-verifier/field" + "github.com/succinctlabs/gnark-plonky2-verifier/poseidon" +) + +var poseidonMdsGateRegex = regexp.MustCompile("PoseidonMdsGate.*") + +func deserializePoseidonMdsGate(parameters map[string]string) Gate { + // Has the format "PoseidonMdsGate(PhantomData)" + return NewPoseidonMdsGate() +} + +type PoseidonMdsGate struct { +} + +func NewPoseidonMdsGate() *PoseidonMdsGate { + return &PoseidonMdsGate{} +} + +func (g *PoseidonMdsGate) Id() string { + return "PoseidonMdsGate" +} + +func (g *PoseidonMdsGate) WireInput(i uint64) Range { + if i >= poseidon.SPONGE_WIDTH { + panic("Input less than sponge width") + } + return Range{i * field.D, (i + 1) * field.D} +} + +func (g *PoseidonMdsGate) WireOutput(i uint64) Range { + if i >= poseidon.SPONGE_WIDTH { + panic("Input less than sponge width") + } + return Range{(poseidon.SPONGE_WIDTH + i) * field.D, (poseidon.SPONGE_WIDTH + i + 1) * field.D} +} + +func (g *PoseidonMdsGate) mdsRowShfAlgebra(r uint64, v [poseidon.SPONGE_WIDTH]field.QEAlgebra, qeAPI *field.QuadraticExtensionAPI) field.QEAlgebra { + if r >= poseidon.SPONGE_WIDTH { + panic("MDS row index out of range") + } + + res := qeAPI.ZERO_QE_ALGEBRA + for i := uint64(0); i < poseidon.SPONGE_WIDTH; i++ { + coeff := qeAPI.FieldToQE(poseidon.MDS_MATRIX_CIRC[i]) + res = qeAPI.AddExtensionAlgebra(res, qeAPI.ScalarMulExtensionAlgebra(coeff, v[(i+r)%poseidon.SPONGE_WIDTH])) + } + + coeff := qeAPI.FieldToQE(poseidon.MDS_MATRIX_DIAG[r]) + res = qeAPI.AddExtensionAlgebra(res, qeAPI.ScalarMulExtensionAlgebra(coeff, v[r])) + + return res +} + +func (g *PoseidonMdsGate) mdsLayerAlgebra(state [poseidon.SPONGE_WIDTH]field.QEAlgebra, qeAPI *field.QuadraticExtensionAPI) [poseidon.SPONGE_WIDTH]field.QEAlgebra { + var result [poseidon.SPONGE_WIDTH]field.QEAlgebra + for r := uint64(0); r < poseidon.SPONGE_WIDTH; r++ { + result[r] = g.mdsRowShfAlgebra(r, state, qeAPI) + } + + return result +} + +func (g *PoseidonMdsGate) EvalUnfiltered(api frontend.API, qeAPI *field.QuadraticExtensionAPI, vars EvaluationVars) []field.QuadraticExtension { + constraints := []field.QuadraticExtension{} + + var inputs [poseidon.SPONGE_WIDTH]field.QEAlgebra + for i := uint64(0); i < poseidon.SPONGE_WIDTH; i++ { + inputs[i] = vars.GetLocalExtAlgebra(g.WireInput(i)) + } + + computed_outputs := g.mdsLayerAlgebra(inputs, qeAPI) + + for i := uint64(0); i < poseidon.SPONGE_WIDTH; i++ { + output := vars.GetLocalExtAlgebra(g.WireOutput(i)) + diff := qeAPI.SubExtensionAlgebra(output, computed_outputs[i]) + constraints = append(constraints, diff[0], diff[1]) + } + + return constraints +} diff --git a/verifier/internal/gates/vars.go b/verifier/internal/gates/vars.go index 8659906..2d28eca 100644 --- a/verifier/internal/gates/vars.go +++ b/verifier/internal/gates/vars.go @@ -8,13 +8,13 @@ import ( type EvaluationVars struct { localConstants []field.QuadraticExtension localWires []field.QuadraticExtension - publicInputsHash poseidon.Hash + publicInputsHash poseidon.PoseidonHashOut } func NewEvaluationVars( localConstants []field.QuadraticExtension, localWires []field.QuadraticExtension, - publicInputsHash poseidon.Hash, + publicInputsHash poseidon.PoseidonHashOut, ) *EvaluationVars { return &EvaluationVars{ localConstants: localConstants, diff --git a/verifier/internal/plonk/challenger.go b/verifier/internal/plonk/challenger.go index 5a502b9..5294a6d 100644 --- a/verifier/internal/plonk/challenger.go +++ b/verifier/internal/plonk/challenger.go @@ -11,15 +11,16 @@ import ( ) type ChallengerChip struct { - api frontend.API `gnark:"-"` - field field.FieldAPI `gnark:"-"` - poseidonChip *poseidon.PoseidonChip - spongeState [poseidon.SPONGE_WIDTH]field.F - inputBuffer []field.F - outputBuffer []field.F + api frontend.API `gnark:"-"` + field field.FieldAPI `gnark:"-"` + poseidonChip *poseidon.PoseidonChip + poseidonBN128Chip *poseidon.PoseidonBN128Chip + spongeState [poseidon.SPONGE_WIDTH]field.F + inputBuffer []field.F + outputBuffer []field.F } -func NewChallengerChip(api frontend.API, fieldAPI field.FieldAPI, poseidonChip *poseidon.PoseidonChip) *ChallengerChip { +func NewChallengerChip(api frontend.API, fieldAPI field.FieldAPI, poseidonChip *poseidon.PoseidonChip, poseidonBN128Chip *poseidon.PoseidonBN128Chip) *ChallengerChip { var spongeState [poseidon.SPONGE_WIDTH]field.F var inputBuffer []field.F var outputBuffer []field.F @@ -29,12 +30,13 @@ func NewChallengerChip(api frontend.API, fieldAPI field.FieldAPI, poseidonChip * } return &ChallengerChip{ - api: api, - field: fieldAPI, - poseidonChip: poseidonChip, - spongeState: spongeState, - inputBuffer: inputBuffer, - outputBuffer: outputBuffer, + api: api, + field: fieldAPI, + poseidonChip: poseidonChip, + poseidonBN128Chip: poseidonBN128Chip, + spongeState: spongeState, + inputBuffer: inputBuffer, + outputBuffer: outputBuffer, } } @@ -52,13 +54,19 @@ func (c *ChallengerChip) ObserveElements(elements []field.F) { } } -func (c *ChallengerChip) ObserveHash(hash poseidon.Hash) { - c.ObserveElements(hash[:]) +func (c *ChallengerChip) ObserveHash(hash poseidon.PoseidonHashOut) { + elements := c.poseidonChip.ToVec(hash) + c.ObserveElements(elements) } -func (c *ChallengerChip) ObserveCap(cap []poseidon.Hash) { +func (c *ChallengerChip) ObserveBN128Hash(hash poseidon.PoseidonBN128HashOut) { + elements := c.poseidonBN128Chip.ToVec(hash) + c.ObserveElements(elements) +} + +func (c *ChallengerChip) ObserveCap(cap []poseidon.PoseidonBN128HashOut) { for i := 0; i < len(cap); i++ { - c.ObserveHash(cap[i]) + c.ObserveBN128Hash(cap[i]) } } @@ -102,7 +110,7 @@ func (c *ChallengerChip) GetExtensionChallenge() field.QuadraticExtension { return field.QuadraticExtension{values[0], values[1]} } -func (c *ChallengerChip) GetHash() poseidon.Hash { +func (c *ChallengerChip) GetHash() poseidon.PoseidonHashOut { return [4]field.F{c.GetChallenge(), c.GetChallenge(), c.GetChallenge(), c.GetChallenge()} } @@ -140,9 +148,7 @@ func (c *ChallengerChip) duplexing() { panic("something went wrong") } - for i := 0; i < len(c.inputBuffer); i++ { - c.spongeState[i] = c.inputBuffer[i] - } + copy(c.spongeState[:], c.inputBuffer) c.inputBuffer = clearBuffer(c.inputBuffer) c.spongeState = c.poseidonChip.Poseidon(c.spongeState) clearBuffer(c.outputBuffer) diff --git a/verifier/internal/plonk/challenger_test.go b/verifier/internal/plonk/challenger_test.go index cd6244c..d62c79f 100644 --- a/verifier/internal/plonk/challenger_test.go +++ b/verifier/internal/plonk/challenger_test.go @@ -1,21 +1,21 @@ package plonk import ( + "math/big" "testing" "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/utils" ) type TestChallengerCircuit struct { - PublicInputs [3]frontend.Variable - CircuitDigest [4]frontend.Variable - WiresCap [16][4]frontend.Variable - PlonkZsPartialProductsCap [16][4]frontend.Variable - QuotientPolysCap [16][4]frontend.Variable + PublicInputs []field.F + CircuitDigest poseidon.PoseidonBN128HashOut + WiresCap [16]poseidon.PoseidonBN128HashOut + PlonkZsPartialProductsCap [16]poseidon.PoseidonBN128HashOut + QuotientPolysCap [16]poseidon.PoseidonBN128HashOut } func (circuit *TestChallengerCircuit) Define(api frontend.API) error { @@ -23,53 +23,23 @@ func (circuit *TestChallengerCircuit) Define(api frontend.API) error { degreeBits := 3 qeAPI := field.NewQuadraticExtensionAPI(api, fieldAPI, uint64(degreeBits)) poseidonChip := poseidon.NewPoseidonChip(api, fieldAPI, qeAPI) - challengerChip := NewChallengerChip(api, fieldAPI, poseidonChip) + poseidonBN128Chip := poseidon.NewPoseidonBN128Chip(api, fieldAPI) + challengerChip := NewChallengerChip(api, fieldAPI, poseidonChip, poseidonBN128Chip) - var circuitDigest [4]field.F - for i := 0; i < len(circuitDigest); i++ { - circuitDigest[i] = fieldAPI.FromBits(api.ToBinary(circuit.CircuitDigest[i], 64)...) - } - - var publicInputs [3]field.F - for i := 0; i < len(publicInputs); i++ { - publicInputs[i] = fieldAPI.FromBits(api.ToBinary(circuit.PublicInputs[i], 64)...) - } - - var wiresCap [16][4]field.F - for i := 0; i < len(wiresCap); i++ { - for j := 0; j < len(wiresCap[0]); j++ { - wiresCap[i][j] = fieldAPI.FromBits(api.ToBinary(circuit.WiresCap[i][j], 64)...) - } - } - - var plonkZsPartialProductsCap [16][4]field.F - for i := 0; i < len(plonkZsPartialProductsCap); i++ { - for j := 0; j < len(plonkZsPartialProductsCap[0]); j++ { - plonkZsPartialProductsCap[i][j] = fieldAPI.FromBits(api.ToBinary(circuit.PlonkZsPartialProductsCap[i][j], 64)...) - } - } - - var quotientPolysCap [16][4]field.F - for i := 0; i < len(quotientPolysCap); i++ { - for j := 0; j < len(quotientPolysCap[0]); j++ { - quotientPolysCap[i][j] = fieldAPI.FromBits(api.ToBinary(circuit.QuotientPolysCap[i][j], 64)...) - } - } - - publicInputHash := poseidonChip.HashNoPad(publicInputs[:]) - challengerChip.ObserveHash(circuitDigest) + challengerChip.ObserveBN128Hash(circuit.CircuitDigest) + publicInputHash := poseidonChip.HashNoPad(circuit.PublicInputs[:]) challengerChip.ObserveHash(publicInputHash) - challengerChip.ObserveCap(wiresCap[:]) + challengerChip.ObserveCap(circuit.WiresCap[:]) numChallenges := uint64(2) plonkBetas := challengerChip.GetNChallenges(numChallenges) plonkGammas := challengerChip.GetNChallenges(numChallenges) expectedPublicInputHash := [4]field.F{ - field.NewFieldConstFromString("8416658900775745054"), - field.NewFieldConstFromString("12574228347150446423"), - field.NewFieldConstFromString("9629056739760131473"), - field.NewFieldConstFromString("3119289788404190010"), + field.NewFieldConstFromString("0"), + field.NewFieldConstFromString("0"), + field.NewFieldConstFromString("0"), + field.NewFieldConstFromString("0"), } for i := 0; i < 4; i++ { @@ -77,13 +47,13 @@ func (circuit *TestChallengerCircuit) Define(api frontend.API) error { } expectedPlonkBetas := [2]field.F{ - field.NewFieldConstFromString("4678728155650926271"), - field.NewFieldConstFromString("13611962404289024887"), + field.NewFieldConstFromString("17615363392879944733"), + field.NewFieldConstFromString("9422446877322953047"), } expectedPlonkGammas := [2]field.F{ - field.NewFieldConstFromString("13237663823305715949"), - field.NewFieldConstFromString("15389314098328235145"), + field.NewFieldConstFromString("15174493176564484303"), + field.NewFieldConstFromString("6175150444166239851"), } for i := 0; i < 2; i++ { @@ -91,24 +61,24 @@ func (circuit *TestChallengerCircuit) Define(api frontend.API) error { fieldAPI.AssertIsEqual(plonkGammas[i], expectedPlonkGammas[i]) } - challengerChip.ObserveCap(plonkZsPartialProductsCap[:]) + challengerChip.ObserveCap(circuit.PlonkZsPartialProductsCap[:]) plonkAlphas := challengerChip.GetNChallenges(numChallenges) expectedPlonkAlphas := [2]field.F{ - field.NewFieldConstFromString("14505919539124304197"), - field.NewFieldConstFromString("1695455639263736117"), + field.NewFieldConstFromString("9276470834414745550"), + field.NewFieldConstFromString("5302812342351431915"), } for i := 0; i < 2; i++ { fieldAPI.AssertIsEqual(plonkAlphas[i], expectedPlonkAlphas[i]) } - challengerChip.ObserveCap(quotientPolysCap[:]) + challengerChip.ObserveCap(circuit.QuotientPolysCap[:]) plonkZeta := challengerChip.GetExtensionChallenge() expectedPlonkZeta := field.QuadraticExtension{ - field.NewFieldConstFromString("14887793628029982930"), - field.NewFieldConstFromString("1136137158284059037"), + field.NewFieldConstFromString("3892795992421241388"), + field.NewFieldConstFromString("15786647757418200302"), } for i := 0; i < 2; i++ { @@ -118,15 +88,25 @@ func (circuit *TestChallengerCircuit) Define(api frontend.API) error { return nil } +func StringToBN128Hash(hashStr string) poseidon.PoseidonBN128HashOut { + hashBigInt, ok := new(big.Int).SetString(hashStr, 10) + if !(ok) { + panic("Invalid hash: " + hashStr) + } + + hashVar := frontend.Variable(*hashBigInt) + return poseidon.PoseidonBN128HashOut(hashVar) +} + func TestChallengerWitness(t *testing.T) { assert := test.NewAssert(t) testCase := func( - publicInputs [3]frontend.Variable, - circuitDigest [4]frontend.Variable, - wiresCap [16][4]frontend.Variable, - plonkZsPartialProductsCap [16][4]frontend.Variable, - quotientPolysCap [16][4]frontend.Variable, + publicInputs []field.F, + circuitDigest poseidon.PoseidonBN128HashOut, + wiresCap [16]poseidon.PoseidonBN128HashOut, + plonkZsPartialProductsCap [16]poseidon.PoseidonBN128HashOut, + quotientPolysCap [16]poseidon.PoseidonBN128HashOut, ) { circuit := TestChallengerCircuit{ PublicInputs: publicInputs, @@ -146,80 +126,63 @@ func TestChallengerWitness(t *testing.T) { assert.NoError(err) } - publicInputsStr := []string{"0", "1", "3736710860384812976"} - circuitDigestStr := []string{"7754113318730736048", "18436136620016916513", "18054530212389526288", "5893739326632906028"} - wiresCapStr := [][]string{ - {"13884351014873073118", "5174249846243191862", "2208632528791973868", "1071582828677910652"}, - {"11475361245556894879", "14867351574926692044", "17013374066934071379", "1027671036932569748"}, - {"5604634992452399010", "3684464596850094189", "5565599237356852406", "4136295609943151014"}, - {"8463721840990025805", "5922588965472526198", "8096699027533803435", "2210089353004111478"}, - {"17531628199677307555", "11513452064460680964", "1482441508929181375", "5139566233781982440"}, - {"13271417993289093233", "17257193898955790413", "16883807866578566670", "7423179920948669117"}, - {"13462567520785358202", "15555103598281658890", "5859961276885232601", "4464568704709749394"}, - {"153012620162729043", "14072764618167122665", "3025694603779494447", "15948104906680148838"}, - {"18050235253694287284", "11467396424826912141", "11302553396166323353", "10976271719722841224"}, - {"15208241660644051470", "8520722208187871063", "10775022596056682771", "16048513824198271730"}, - {"6929477084755896240", "11382029470138215117", "13205948643259905511", "9421863267852221772"}, - {"15449187573546292268", "10216729601353604194", "9493934392442974211", "9848643714440191835"}, - {"2172475758127444753", "16681095938683502188", "9983383760611275566", "2603547977557388755"}, - {"17440301588003279095", "11799356585691460705", "1386003375936412946", "11059100806278290279"}, - {"10758265002546797581", "1374136260999724547", "7200401521491969338", "219493657547391496"}, - {"5995963332181008902", "4442996285152250372", "2005936434281221193", "6869325719052666642"}, - } - plonkZsPartialProductsCapStr := [][]string{ - {"1209867952068639569", "4958824272276746373", "8278739766347565702", "1966940898171663504"}, - {"12599305286358028697", "8932511136775685440", "5376267558248004641", "6313904687311555884"}, - {"11190791343943249124", "4016631697385248176", "10356629842603047568", "10968099068686195317"}, - {"1963983823153667719", "6333891613271539690", "12318891063769180636", "10443318253972130654"}, - {"7799898099378084347", "2751829638242157622", "8351904444410446701", "5284662773710644867"}, - {"1588568181448440843", "10836321455257423751", "5543952383542989142", "12946954522116753258"}, - {"15710202198621978057", "13746115173212319217", "6103259182317700987", "17589471289629134988"}, - {"12877950969971815168", "4963889190939310439", "8868772654550990048", "11774978531783219015"}, - {"16832740767463005599", "15040340114131672027", "7469306538360789573", "3154855824233652432"}, - {"9383568437827143152", "1741060064145647394", "17668587021570420286", "5241789470902809114"}, - {"2087729156816989530", "8248918881937854542", "8673194597758568216", "10710697836634846115"}, - {"11253371860840267365", "16818881664594712299", "11933553751682199585", "1936353232880935379"}, - {"12163553231829171860", "17244267969759347515", "2003902333564157189", "6934019871173840760"}, - {"2082141893879862527", "18267460725569427782", "1129651898415533808", "14011240934155569890"}, - {"2526273401266876282", "6955959191669943337", "5926536548217021446", "17949337312612691782"}, - {"8858882459906353593", "5813258279939597857", "6320047506247573502", "15969724232572328561"}, - } - quotientPolysCapStr := [][]string{ - {"9435614145733021495", "1742717829476348934", "11178548223985487003", "14531951007568589725"}, - {"11747844681527676730", "3089691012847802165", "5887135310661642077", "13943570416123664971"}, - {"11150071448774479229", "4486829025930200476", "9369448886033958276", "15757606153229850783"}, - {"14603194410536469617", "11776185929725558373", "3122936423686490326", "10128277488128872810"}, - {"4990578700975083076", "4997575606014863069", "14499603187047727337", "14028694557236527137"}, - {"2279147899956815983", "16034899207717647338", "14763350037932939672", "10075834812570828076"}, - {"1102006741007271956", "15242779529961262072", "6900547375301951311", "8631780317175902419"}, - {"6299112770394539219", "6297397453582105768", "14148031335065995704", "3794733067587629405"}, - {"7891039548997763820", "4260484126440019022", "6493066317319943586", "14775252570136307979"}, - {"10790514248728420789", "14444029601980227412", "17514190309172155536", "12973059492411164965"}, - {"8940755416742726696", "8469566845539112244", "7642612722784522739", "15276772682665052607"}, - {"18306931819862706026", "14374659904694625207", "8609543532143656606", "17350044275494282679"}, - {"9062024023737444614", "13780128979028684176", "6115495431779737008", "7170446003855284754"}, - {"6191400598853400595", "7806485717076924017", "3225145303141729264", "3644550749005104128"}, - {"15759718266801608721", "2406060174022670585", "15679263832775538866", "18066847192985300443"}, - {"9184823221361582966", "4767786405185004644", "9827047623720647370", "993615002460432327"}, - } - - var publicInputs [3]frontend.Variable - var circuitDigest [4]frontend.Variable - var wiresCap [16][4]frontend.Variable - var plonkZsPartialProductsCap [16][4]frontend.Variable - var quotientPolysCap [16][4]frontend.Variable - - copy(publicInputs[:], utils.StrArrayToFrontendVariableArray(publicInputsStr)) - copy(circuitDigest[:], utils.StrArrayToFrontendVariableArray(circuitDigestStr)) - for i := 0; i < len(wiresCapStr); i++ { - copy(wiresCap[i][:], utils.StrArrayToFrontendVariableArray(wiresCapStr[i])) - } - for i := 0; i < len(plonkZsPartialProductsCapStr); i++ { - copy(plonkZsPartialProductsCap[i][:], utils.StrArrayToFrontendVariableArray(plonkZsPartialProductsCapStr[i])) - } - for i := 0; i < len(quotientPolysCapStr); i++ { - copy(quotientPolysCap[i][:], utils.StrArrayToFrontendVariableArray(quotientPolysCapStr[i])) - } - - testCase(publicInputs, circuitDigest, wiresCap, plonkZsPartialProductsCap, quotientPolysCap) + publicInputs := []field.F{} + + circuitDigest := StringToBN128Hash("11532502846882484230992726008257788785937565673229400981185786126842727172973") + + wiresCaps := [16]poseidon.PoseidonBN128HashOut{} + wiresCaps[0] = StringToBN128Hash("6232016528318542211523647364792867346449137823066292895075623303633330508214") + wiresCaps[1] = StringToBN128Hash("3849229275985461680629770572508259203226163621677714310355251582693130685288") + wiresCaps[2] = StringToBN128Hash("5987556171512366759354088598227343740440477791444099795740854232780130336082") + wiresCaps[3] = StringToBN128Hash("8523377779888975334090507575349048869294640263235559121841789718805736414837") + wiresCaps[4] = StringToBN128Hash("4173305429039088756536564029627250985745421317354666614089039608061166671898") + wiresCaps[5] = StringToBN128Hash("19514742808406256372169729907222415291809011606011679387563713660256488346125") + wiresCaps[6] = StringToBN128Hash("8519703011007005463193900985655355044586093539828702987016626948657512235078") + wiresCaps[7] = StringToBN128Hash("13337062986664638507390757043422262298890182385759661595000247205380836291424") + wiresCaps[8] = StringToBN128Hash("13956988298720968721248573872513053256190487207048215310365406791617256823071") + wiresCaps[9] = StringToBN128Hash("4139118776078237399422219240136866906229498819930564462151328936368637474741") + wiresCaps[10] = StringToBN128Hash("20010683036854145765538326917745039166608941517703057250025522185331298063240") + wiresCaps[11] = StringToBN128Hash("16542849340693186579674885260236043503488748690860552251132996633211111581047") + wiresCaps[12] = StringToBN128Hash("15340310232736118098606223218073833983285921571850333937460777227732109309104") + wiresCaps[13] = StringToBN128Hash("14370557250059545670244193708996703450518439828341533154117610442161777001185") + wiresCaps[14] = StringToBN128Hash("18844434454299441334771065219656682212700835025465734281792408139929868142021") + wiresCaps[15] = StringToBN128Hash("19676343740377898318702605893881480074303742058989194823248293456630167789460") + + plonkZsPartialProductsCaps := [16]poseidon.PoseidonBN128HashOut{} + plonkZsPartialProductsCaps[0] = StringToBN128Hash("18630303757724954689095079665308152603926320437432442392614316813333911252124") + plonkZsPartialProductsCaps[1] = StringToBN128Hash("1941509032097423911575973752610668722198580889286836043016771886256831254944") + plonkZsPartialProductsCaps[2] = StringToBN128Hash("6147898094056673441182607282006528423230906496770003193057422314911254596722") + plonkZsPartialProductsCaps[3] = StringToBN128Hash("8711744418341460096856191310559061094028644913424948320707020455945693390966") + plonkZsPartialProductsCaps[4] = StringToBN128Hash("3170507894509162329082713944669012510679535839018490515228566075949014704871") + plonkZsPartialProductsCaps[5] = StringToBN128Hash("9513443633020527244719737008971091746535961947215556968735061932963144145728") + plonkZsPartialProductsCaps[6] = StringToBN128Hash("16440622144490342815400399751667969445057099157732990266662948140364680211732") + plonkZsPartialProductsCaps[7] = StringToBN128Hash("16904904288584890809819587275120157893767917607795020298373538872373275028362") + plonkZsPartialProductsCaps[8] = StringToBN128Hash("1322883689945010694042124537248103086068476085787048131689196755087178475099") + plonkZsPartialProductsCaps[9] = StringToBN128Hash("3859729225679954076862546769780866075152550721517632074656261209033111218654") + plonkZsPartialProductsCaps[10] = StringToBN128Hash("5995885491698588595978721670502011088690021401297557688057158353938846681398") + plonkZsPartialProductsCaps[11] = StringToBN128Hash("16957177478856199232404038751327729781816109007496656232207408246975862260922") + plonkZsPartialProductsCaps[12] = StringToBN128Hash("9422393668093911702915740702404346320943009100616501740579421944206639410155") + plonkZsPartialProductsCaps[13] = StringToBN128Hash("15680345727093646870610240619814271686346382346107751208797654607051065248818") + plonkZsPartialProductsCaps[14] = StringToBN128Hash("4939261448468032698521878059774016528161329965101885352386001950329280576201") + plonkZsPartialProductsCaps[15] = StringToBN128Hash("7003946111898359335505647195128523292498498760325513092978040051648331398446") + + quotientPolysCaps := [16]poseidon.PoseidonBN128HashOut{} + quotientPolysCaps[0] = StringToBN128Hash("3918560082526903400389798118659365477465402367561322989181693953047280669646") + quotientPolysCaps[1] = StringToBN128Hash("496966935842756068593963213547105605432646958081400837931911611833297095727") + quotientPolysCaps[2] = StringToBN128Hash("8683297895986438077633020202252074142721819824824948690853505463451806801507") + quotientPolysCaps[3] = StringToBN128Hash("14623770060934618886104076268225324888644340537717836901769942847173950269850") + quotientPolysCaps[4] = StringToBN128Hash("902377468311802642056170073282349607767917979325737018777782566011948776523") + quotientPolysCaps[5] = StringToBN128Hash("12124340721627925810131860890689432371048624670798932303474977401990312142398") + quotientPolysCaps[6] = StringToBN128Hash("21656753786114693289615694183370749990935753681953197920766927707640495235100") + quotientPolysCaps[7] = StringToBN128Hash("4651674172794111060599611529192263627230814664669763852917839857516619530510") + quotientPolysCaps[8] = StringToBN128Hash("13161231355626784301812735677481006076469384200800574341495987998366265598910") + quotientPolysCaps[9] = StringToBN128Hash("20853590455948262404101100028402584187982204016660952863575312077951992942329") + quotientPolysCaps[10] = StringToBN128Hash("742867642166478273564934628555265381154191517824405375118170559554873960389") + quotientPolysCaps[11] = StringToBN128Hash("17617970388755497287414457313283777609067524774358298322461931046141926005038") + quotientPolysCaps[12] = StringToBN128Hash("55496208750959228576253470708262329602643441253143570259294790484739321332") + quotientPolysCaps[13] = StringToBN128Hash("18450079114184018679423491604333957974306902732410122012117555285853099024676") + quotientPolysCaps[14] = StringToBN128Hash("14403337493956171864251492809058241138806636992110526018123749007090024780352") + quotientPolysCaps[15] = StringToBN128Hash("252265115458024097842043026135110356285192501597856208375838682286051476335") + + testCase(publicInputs, circuitDigest, wiresCaps, plonkZsPartialProductsCaps, quotientPolysCaps) } diff --git a/verifier/internal/plonk/plonk.go b/verifier/internal/plonk/plonk.go index 4a7e6c4..d27a736 100644 --- a/verifier/internal/plonk/plonk.go +++ b/verifier/internal/plonk/plonk.go @@ -187,7 +187,7 @@ func (p *PlonkChip) evalVanishingPoly(vars gates.EvaluationVars, proofChallenges return reducedValues } -func (p *PlonkChip) Verify(proofChallenges common.ProofChallenges, openings common.OpeningSet, publicInputsHash poseidon.Hash) { +func (p *PlonkChip) Verify(proofChallenges common.ProofChallenges, openings common.OpeningSet, publicInputsHash poseidon.PoseidonHashOut) { // Calculate zeta^n zetaPowN := p.expPowerOf2Extension(proofChallenges.PlonkZeta) diff --git a/verifier/internal/plonk/plonk_test.go b/verifier/internal/plonk/plonk_test.go index 9554fbe..7e7c50d 100644 --- a/verifier/internal/plonk/plonk_test.go +++ b/verifier/internal/plonk/plonk_test.go @@ -38,31 +38,14 @@ func (circuit *TestPlonkCircuit) Define(api frontend.API) error { return nil } -func TestPlonkFibonacci(t *testing.T) { +func TestPlonkDecodeBlock(t *testing.T) { assert := test.NewAssert(t) testCase := func() { circuit := TestPlonkCircuit{ - proofWithPIsFilename: "./data/fibonacci/proof_with_public_inputs.json", - commonCircuitDataFilename: "./data/fibonacci/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "./data/fibonacci/verifier_only_circuit_data.json", - } - witness := TestPlonkCircuit{} - err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} - -func TestPlonkDummy(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestPlonkCircuit{ - proofWithPIsFilename: "./data/dummy_2^14_gates/proof_with_public_inputs.json", - commonCircuitDataFilename: "./data/dummy_2^14_gates/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "./data/dummy_2^14_gates/verifier_only_circuit_data.json", + proofWithPIsFilename: "../../data/decode_block/proof_with_public_inputs.json", + commonCircuitDataFilename: "../../data/decode_block/common_circuit_data.json", + verifierOnlyCircuitDataFilename: "../../data/decode_block/verifier_only_circuit_data.json", } witness := TestPlonkCircuit{} err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) diff --git a/verifier/utils/deserialize.go b/verifier/utils/deserialize.go index 8de59d5..8dab228 100644 --- a/verifier/utils/deserialize.go +++ b/verifier/utils/deserialize.go @@ -3,8 +3,10 @@ package utils import ( "encoding/json" "io" + "math/big" "os" + "github.com/consensys/gnark/frontend" "github.com/succinctlabs/gnark-plonky2-verifier/field" "github.com/succinctlabs/gnark-plonky2-verifier/poseidon" "github.com/succinctlabs/gnark-plonky2-verifier/utils" @@ -14,16 +16,10 @@ import ( type ProofWithPublicInputsRaw struct { Proof struct { - WiresCap []struct { - Elements []uint64 `json:"elements"` - } `json:"wires_cap"` - PlonkZsPartialProductsCap []struct { - Elements []uint64 `json:"elements"` - } `json:"plonk_zs_partial_products_cap"` - QuotientPolysCap []struct { - Elements []uint64 `json:"elements"` - } `json:"quotient_polys_cap"` - Openings struct { + WiresCap []string `json:"wires_cap"` + PlonkZsPartialProductsCap []string `json:"plonk_zs_partial_products_cap"` + QuotientPolysCap []string `json:"quotient_polys_cap"` + Openings struct { Constants [][]uint64 `json:"constants"` PlonkSigmas [][]uint64 `json:"plonk_sigmas"` Wires [][]uint64 `json:"wires"` @@ -33,14 +29,16 @@ type ProofWithPublicInputsRaw struct { QuotientPolys [][]uint64 `json:"quotient_polys"` } `json:"openings"` OpeningProof struct { - CommitPhaseMerkleCaps []MerkleCapsRaw `json:"commit_phase_merkle_caps"` + CommitPhaseMerkleCaps [][]string `json:"commit_phase_merkle_caps"` QueryRoundProofs []struct { InitialTreesProof struct { EvalsProofs []EvalProofRaw `json:"evals_proofs"` } `json:"initial_trees_proof"` Steps []struct { - Evals [][]uint64 `json:"evals"` - MerkleProof MerkleProofRaw `json:"merkle_proof"` + Evals [][]uint64 `json:"evals"` + MerkleProof struct { + Siblings []string `json:"siblings"` + } `json:"merkle_proof"` } `json:"steps"` } `json:"query_round_proofs"` FinalPoly struct { @@ -52,39 +50,22 @@ type ProofWithPublicInputsRaw struct { PublicInputs []uint64 `json:"public_inputs"` } -type MerkleCapsRaw struct { - hashes [][]uint64 -} - -func (m *MerkleCapsRaw) UnmarshalJSON(data []byte) error { - var merkleCaps []map[string][]uint64 - if err := json.Unmarshal(data, &merkleCaps); err != nil { - panic(err) - } - - m.hashes = make([][]uint64, len(merkleCaps)) - for i := 0; i < len(merkleCaps); i++ { - m.hashes[i] = merkleCaps[i]["elements"] - } - return nil -} - type EvalProofRaw struct { - leafElements []uint64 - merkleProof MerkleProofRaw + LeafElements []uint64 + MerkleProof MerkleProofRaw } func (e *EvalProofRaw) UnmarshalJSON(data []byte) error { - return json.Unmarshal(data, &[]interface{}{&e.leafElements, &e.merkleProof}) + return json.Unmarshal(data, &[]interface{}{&e.LeafElements, &e.MerkleProof}) } type MerkleProofRaw struct { - hash [][]uint64 + Hash []string } func (m *MerkleProofRaw) UnmarshalJSON(data []byte) error { type SiblingObject struct { - Siblings []map[string][]uint64 // "siblings" + Siblings []string // "siblings" } var siblings SiblingObject @@ -92,10 +73,8 @@ func (m *MerkleProofRaw) UnmarshalJSON(data []byte) error { panic(err) } - m.hash = make([][]uint64, len(siblings.Siblings)) - for siblingIdx, sibling := range siblings.Siblings { - m.hash[siblingIdx] = sibling["elements"] - } + m.Hash = make([]string, len(siblings.Siblings)) + copy(m.Hash[:], siblings.Siblings) return nil } @@ -164,19 +143,16 @@ type ProofChallengesRaw struct { } type VerifierOnlyCircuitDataRaw struct { - ConstantsSigmasCap []struct { - Elements []uint64 `json:"elements"` - } `json:"constants_sigmas_cap"` - CircuitDigest struct { - Elements []uint64 `json:"elements"` - } `json:"circuit_digest"` + ConstantsSigmasCap []string `json:"constants_sigmas_cap"` + CircuitDigest string `json:"circuit_digest"` } -func DeserializeMerkleCap(merkleCapRaw []struct{ Elements []uint64 }) common.MerkleCap { +func DeserializeMerkleCap(merkleCapRaw []string) common.MerkleCap { n := len(merkleCapRaw) - merkleCap := make([]poseidon.Hash, n) + merkleCap := make([]poseidon.PoseidonBN128HashOut, n) for i := 0; i < n; i++ { - copy(merkleCap[i][:], utils.Uint64ArrayToFArray(merkleCapRaw[i].Elements)) + capBigInt, _ := new(big.Int).SetString(merkleCapRaw[i], 10) + merkleCap[i] = frontend.Variable(capBigInt) } return merkleCap } @@ -184,10 +160,10 @@ func DeserializeMerkleCap(merkleCapRaw []struct{ Elements []uint64 }) common.Mer func DeserializeMerkleProof(merkleProofRaw struct{ Siblings []interface{} }) common.MerkleProof { n := len(merkleProofRaw.Siblings) var mp common.MerkleProof - mp.Siblings = make([]poseidon.Hash, n) + mp.Siblings = make([]poseidon.PoseidonBN128HashOut, n) for i := 0; i < n; i++ { element := merkleProofRaw.Siblings[i].(struct{ Elements []uint64 }) - copy(mp.Siblings[i][:], utils.Uint64ArrayToFArray(element.Elements)) + mp.Siblings[i] = utils.Uint64ArrayToFArray(element.Elements) } return mp } @@ -212,15 +188,29 @@ func DeserializeOpeningSet(openingSetRaw struct { } } +func StringArrayToHashBN128Array(rawHashes []string) []poseidon.PoseidonBN128HashOut { + hashes := []poseidon.PoseidonBN128HashOut{} + + for i := 0; i < len(rawHashes); i++ { + hashBigInt, _ := new(big.Int).SetString(rawHashes[i], 10) + hashVar := frontend.Variable(hashBigInt) + hashes = append(hashes, poseidon.PoseidonBN128HashOut(hashVar)) + } + + return hashes +} + func DeserializeFriProof(openingProofRaw struct { - CommitPhaseMerkleCaps []MerkleCapsRaw + CommitPhaseMerkleCaps [][]string QueryRoundProofs []struct { InitialTreesProof struct { EvalsProofs []EvalProofRaw } Steps []struct { Evals [][]uint64 - MerkleProof MerkleProofRaw + MerkleProof struct { + Siblings []string + } } } FinalPoly struct { @@ -234,7 +224,7 @@ func DeserializeFriProof(openingProofRaw struct { openingProof.CommitPhaseMerkleCaps = make([]common.MerkleCap, len(openingProofRaw.CommitPhaseMerkleCaps)) for i := 0; i < len(openingProofRaw.CommitPhaseMerkleCaps); i++ { - openingProof.CommitPhaseMerkleCaps[i] = poseidon.Uint64ArrayToHashArray(openingProofRaw.CommitPhaseMerkleCaps[i].hashes) + openingProof.CommitPhaseMerkleCaps[i] = StringArrayToHashBN128Array(openingProofRaw.CommitPhaseMerkleCaps[i]) } numQueryRoundProofs := len(openingProofRaw.QueryRoundProofs) @@ -244,15 +234,15 @@ func DeserializeFriProof(openingProofRaw struct { numEvalProofs := len(openingProofRaw.QueryRoundProofs[i].InitialTreesProof.EvalsProofs) openingProof.QueryRoundProofs[i].InitialTreesProof.EvalsProofs = make([]common.EvalProof, numEvalProofs) for j := 0; j < numEvalProofs; j++ { - openingProof.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].Elements = utils.Uint64ArrayToFArray(openingProofRaw.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].leafElements) - openingProof.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].MerkleProof.Siblings = poseidon.Uint64ArrayToHashArray(openingProofRaw.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].merkleProof.hash) + openingProof.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].Elements = utils.Uint64ArrayToFArray(openingProofRaw.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].LeafElements) + openingProof.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].MerkleProof.Siblings = StringArrayToHashBN128Array(openingProofRaw.QueryRoundProofs[i].InitialTreesProof.EvalsProofs[j].MerkleProof.Hash) } numSteps := len(openingProofRaw.QueryRoundProofs[i].Steps) openingProof.QueryRoundProofs[i].Steps = make([]common.FriQueryStep, numSteps) for j := 0; j < numSteps; j++ { openingProof.QueryRoundProofs[i].Steps[j].Evals = utils.Uint64ArrayToQuadraticExtensionArray(openingProofRaw.QueryRoundProofs[i].Steps[j].Evals) - openingProof.QueryRoundProofs[i].Steps[j].MerkleProof.Siblings = poseidon.Uint64ArrayToHashArray(openingProofRaw.QueryRoundProofs[i].Steps[j].MerkleProof.hash) + openingProof.QueryRoundProofs[i].Steps[j].MerkleProof.Siblings = StringArrayToHashBN128Array(openingProofRaw.QueryRoundProofs[i].Steps[j].MerkleProof.Siblings) } } @@ -275,9 +265,9 @@ func DeserializeProofWithPublicInputs(path string) common.ProofWithPublicInputs } var proofWithPis common.ProofWithPublicInputs - proofWithPis.Proof.WiresCap = DeserializeMerkleCap([]struct{ Elements []uint64 }(raw.Proof.WiresCap)) - proofWithPis.Proof.PlonkZsPartialProductsCap = DeserializeMerkleCap([]struct{ Elements []uint64 }(raw.Proof.PlonkZsPartialProductsCap)) - proofWithPis.Proof.QuotientPolysCap = DeserializeMerkleCap([]struct{ Elements []uint64 }(raw.Proof.QuotientPolysCap)) + proofWithPis.Proof.WiresCap = DeserializeMerkleCap(raw.Proof.WiresCap) + proofWithPis.Proof.PlonkZsPartialProductsCap = DeserializeMerkleCap(raw.Proof.PlonkZsPartialProductsCap) + proofWithPis.Proof.QuotientPolysCap = DeserializeMerkleCap(raw.Proof.QuotientPolysCap) proofWithPis.Proof.Openings = DeserializeOpeningSet(struct { Constants [][]uint64 PlonkSigmas [][]uint64 @@ -288,14 +278,16 @@ func DeserializeProofWithPublicInputs(path string) common.ProofWithPublicInputs QuotientPolys [][]uint64 }(raw.Proof.Openings)) proofWithPis.Proof.OpeningProof = DeserializeFriProof(struct { - CommitPhaseMerkleCaps []MerkleCapsRaw + CommitPhaseMerkleCaps [][]string QueryRoundProofs []struct { InitialTreesProof struct { EvalsProofs []EvalProofRaw } Steps []struct { Evals [][]uint64 - MerkleProof MerkleProofRaw + MerkleProof struct { + Siblings []string + } } } FinalPoly struct{ Coeffs [][]uint64 } @@ -436,8 +428,9 @@ func DeserializeVerifierOnlyCircuitData(path string) common.VerifierOnlyCircuitD } var verifierOnlyCircuitData common.VerifierOnlyCircuitData - verifierOnlyCircuitData.ConstantSigmasCap = DeserializeMerkleCap([]struct{ Elements []uint64 }(raw.ConstantsSigmasCap)) - copy(verifierOnlyCircuitData.CircuitDigest[:], utils.Uint64ArrayToFArray(raw.CircuitDigest.Elements)) - + verifierOnlyCircuitData.ConstantSigmasCap = DeserializeMerkleCap(raw.ConstantsSigmasCap) + circuitDigestBigInt, _ := new(big.Int).SetString(raw.CircuitDigest, 10) + circuitDigestVar := frontend.Variable(circuitDigestBigInt) + verifierOnlyCircuitData.CircuitDigest = poseidon.PoseidonBN128HashOut(circuitDigestVar) return verifierOnlyCircuitData } diff --git a/verifier/utils/deserialize_test.go b/verifier/utils/deserialize_test.go index f703d8d..b51878a 100644 --- a/verifier/utils/deserialize_test.go +++ b/verifier/utils/deserialize_test.go @@ -6,19 +6,19 @@ import ( ) func TestDeserializeProofWithPublicInputs(t *testing.T) { - proofWithPis := DeserializeProofWithPublicInputs("./data/fibonacci/proof_with_public_inputs.json") + proofWithPis := DeserializeProofWithPublicInputs("../data/decode_block/proof_with_public_inputs.json") fmt.Printf("%+v\n", proofWithPis) panic("look at stdout") } func TestDeserializeCommonCircuitData(t *testing.T) { - commonCircuitData := DeserializeCommonCircuitData("./data/fibonacci/common_circuit_data.json") + commonCircuitData := DeserializeCommonCircuitData("../data/decode_block/common_circuit_data.json") fmt.Printf("%+v\n", commonCircuitData) panic("look at stdout") } func TestDeserializeVerifierOnlyCircuitData(t *testing.T) { - verifierOnlyCircuitData := DeserializeVerifierOnlyCircuitData("./data/fibonacci/verifier_only_circuit_data.json") + verifierOnlyCircuitData := DeserializeVerifierOnlyCircuitData("../data/decode_block/verifier_only_circuit_data.json") fmt.Printf("%+v\n", verifierOnlyCircuitData) panic("look at stdout") } diff --git a/verifier/verifier.go b/verifier/verifier.go index a824144..3325cbb 100644 --- a/verifier/verifier.go +++ b/verifier/verifier.go @@ -10,51 +10,55 @@ import ( ) type VerifierChip struct { - api frontend.API `gnark:"-"` - fieldAPI field.FieldAPI `gnark:"-"` - qeAPI *field.QuadraticExtensionAPI `gnark:"-"` - poseidonChip *poseidon.PoseidonChip - plonkChip *plonk.PlonkChip - friChip *fri.FriChip + api frontend.API `gnark:"-"` + fieldAPI field.FieldAPI `gnark:"-"` + qeAPI *field.QuadraticExtensionAPI `gnark:"-"` + poseidonChip *poseidon.PoseidonChip + poseidonBN128Chip *poseidon.PoseidonBN128Chip + plonkChip *plonk.PlonkChip + friChip *fri.FriChip } func NewVerifierChip(api frontend.API, commonCircuitData common.CommonCircuitData) *VerifierChip { fieldAPI := field.NewFieldAPI(api) qeAPI := field.NewQuadraticExtensionAPI(api, fieldAPI, commonCircuitData.DegreeBits) - hashAPI := poseidon.NewHashAPI(fieldAPI) - poseidonChip := poseidon.NewPoseidonChip(api, fieldAPI, qeAPI) + poseidonBN128Chip := poseidon.NewPoseidonBN128Chip(api, fieldAPI) - friChip := fri.NewFriChip(api, fieldAPI, qeAPI, hashAPI, poseidonChip, &commonCircuitData.FriParams) + friChip := fri.NewFriChip(api, fieldAPI, qeAPI, poseidonBN128Chip, &commonCircuitData.FriParams) plonkChip := plonk.NewPlonkChip(api, qeAPI, commonCircuitData) + // We are using goldilocks poseidon for the challenge computation + poseidonChip := poseidon.NewPoseidonChip(api, fieldAPI, qeAPI) + return &VerifierChip{ - api: api, - fieldAPI: fieldAPI, - qeAPI: qeAPI, - poseidonChip: poseidonChip, - plonkChip: plonkChip, - friChip: friChip, + api: api, + fieldAPI: fieldAPI, + qeAPI: qeAPI, + poseidonChip: poseidonChip, + poseidonBN128Chip: poseidonBN128Chip, + plonkChip: plonkChip, + friChip: friChip, } } -func (c *VerifierChip) GetPublicInputsHash(publicInputs []field.F) poseidon.Hash { +func (c *VerifierChip) GetPublicInputsHash(publicInputs []field.F) poseidon.PoseidonHashOut { return c.poseidonChip.HashNoPad(publicInputs) } func (c *VerifierChip) GetChallenges( proofWithPis common.ProofWithPublicInputs, - publicInputsHash poseidon.Hash, + publicInputsHash poseidon.PoseidonHashOut, commonData common.CommonCircuitData, verifierData common.VerifierOnlyCircuitData, ) common.ProofChallenges { config := commonData.Config numChallenges := config.NumChallenges - challenger := plonk.NewChallengerChip(c.api, c.fieldAPI, c.poseidonChip) + challenger := plonk.NewChallengerChip(c.api, c.fieldAPI, c.poseidonChip, c.poseidonBN128Chip) var circuitDigest = verifierData.CircuitDigest - challenger.ObserveHash(circuitDigest) + challenger.ObserveBN128Hash(circuitDigest) challenger.ObserveHash(publicInputsHash) challenger.ObserveCap(proofWithPis.Proof.WiresCap) plonkBetas := challenger.GetNChallenges(numChallenges) diff --git a/verifier/verifier_test.go b/verifier/verifier_test.go index ddf3c84..7d1d576 100644 --- a/verifier/verifier_test.go +++ b/verifier/verifier_test.go @@ -6,286 +6,10 @@ import ( "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" - "github.com/succinctlabs/gnark-plonky2-verifier/verifier/common" "github.com/succinctlabs/gnark-plonky2-verifier/verifier/utils" ) -type TestVerifierChallengesCircuit struct { - fieldAPI frontend.API `gnark:"-"` - qeAPI *field.QuadraticExtensionAPI `gnark:"-"` - hashAPI *poseidon.HashAPI `gnark:"-"` - - proofWithPIsFilename string `gnark:"-"` - commonCircuitDataFilename string `gnark:"-"` - verifierOnlyCircuitDataFilename string `gnark:"-"` - - numChallenges uint64 `gnark:"-"` - numFriQueries uint64 `gnark:"-"` - - t *testing.T `gnark:"-"` - - expectedPublicInputsHash poseidon.Hash - expectedPlonkBetas []field.F // slice length == num challenges - expectedPlonkGammas []field.F // slice length == num challenges - expectedPlonkAlphas []field.F // slice length == num challenges - expectedPlonkZeta field.QuadraticExtension - expectedFriAlpha field.QuadraticExtension - expectedFriBetas []field.QuadraticExtension // slice length == num fri rounds - expectedFriQueryIndices []field.F // slice length == num fri queries - - verifierChip *verifier.VerifierChip -} - -func (c *TestVerifierChallengesCircuit) GetChallengesSanityCheck( - proofWithPis common.ProofWithPublicInputs, - verifierData common.VerifierOnlyCircuitData, - commonData common.CommonCircuitData, -) { - publicInputsHash := c.verifierChip.GetPublicInputsHash(proofWithPis.PublicInputs) - proofChallenges := c.verifierChip.GetChallenges(proofWithPis, publicInputsHash, commonData, verifierData) - - c.hashAPI.AssertIsEqualHash(publicInputsHash, c.expectedPublicInputsHash) - - if len(proofChallenges.PlonkBetas) != int(c.numChallenges) { - c.t.Errorf("len(PlonkBetas) should equal numChallenges") - } - for i := 0; i < int(c.numChallenges); i++ { - c.fieldAPI.AssertIsEqual(proofChallenges.PlonkBetas[i], c.expectedPlonkBetas[i]) - } - - if len(proofChallenges.PlonkGammas) != int(c.numChallenges) { - c.t.Errorf("len(PlonkGammas) should equal numChallenges") - } - for i := 0; i < int(c.numChallenges); i++ { - c.fieldAPI.AssertIsEqual(proofChallenges.PlonkGammas[i], c.expectedPlonkGammas[i]) - } - - if len(proofChallenges.PlonkAlphas) != int(c.numChallenges) { - c.t.Errorf("len(PlonkAlphas) should equal numChallenges") - } - for i := 0; i < int(c.numChallenges); i++ { - c.fieldAPI.AssertIsEqual(proofChallenges.PlonkAlphas[i], c.expectedPlonkAlphas[i]) - } - - c.qeAPI.AssertIsEqual(proofChallenges.PlonkZeta, c.expectedPlonkZeta) - - c.qeAPI.AssertIsEqual(proofChallenges.FriChallenges.FriAlpha, c.expectedFriAlpha) - - if len(proofChallenges.FriChallenges.FriBetas) != len(commonData.FriParams.ReductionArityBits) { - c.t.Errorf("len(PlonkAlphas) should equal num fri rounds") - } - for i := 0; i < len(commonData.FriParams.ReductionArityBits); i++ { - c.qeAPI.AssertIsEqual(proofChallenges.FriChallenges.FriBetas[i], c.expectedFriBetas[i]) - } - - // This test is commented out because pow_witness is randomized between runs of the prover. - // expectedPowResponse := field.NewFieldConstFromString("92909863298412") - // c.field.AssertIsEqual(proofChallenges.FriChallenges.FriPowResponse, expectedPowResponse) - - if len(proofChallenges.FriChallenges.FriQueryIndices) != int(c.numFriQueries) { - c.t.Errorf("len(expectedFriQueryIndices) should equal num fri queries") - } - - for i := 0; i < int(c.numFriQueries); i++ { - c.fieldAPI.AssertIsEqual(c.expectedFriQueryIndices[i], proofChallenges.FriChallenges.FriQueryIndices[i]) - } -} - -func (c *TestVerifierChallengesCircuit) Define(api frontend.API) error { - proofWithPis := utils.DeserializeProofWithPublicInputs(c.proofWithPIsFilename) - commonCircuitData := utils.DeserializeCommonCircuitData(c.commonCircuitDataFilename) - verfierOnlyCircuitData := utils.DeserializeVerifierOnlyCircuitData(c.verifierOnlyCircuitDataFilename) - - c.numChallenges = commonCircuitData.Config.NumChallenges - c.numFriQueries = commonCircuitData.FriParams.Config.NumQueryRounds - - c.verifierChip = verifier.NewVerifierChip(api, commonCircuitData) - - c.GetChallengesSanityCheck(proofWithPis, verfierOnlyCircuitData, commonCircuitData) - return nil -} - -func TestFibonacciVerifierWitness(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestVerifierChallengesCircuit{ - proofWithPIsFilename: "./data/fibonacci/proof_with_public_inputs.json", - commonCircuitDataFilename: "./data/fibonacci/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "./data/fibonacci/verifier_only_circuit_data.json", - t: t, - - expectedPublicInputsHash: poseidon.Hash{ - field.NewFieldConstFromString("8416658900775745054"), - field.NewFieldConstFromString("12574228347150446423"), - field.NewFieldConstFromString("9629056739760131473"), - field.NewFieldConstFromString("3119289788404190010"), - }, - - expectedPlonkBetas: []field.F{ - field.NewFieldConstFromString("4678728155650926271"), - field.NewFieldConstFromString("13611962404289024887"), - }, - - expectedPlonkGammas: []field.F{ - field.NewFieldConstFromString("13237663823305715949"), - field.NewFieldConstFromString("15389314098328235145"), - }, - - expectedPlonkAlphas: []field.F{ - field.NewFieldConstFromString("14505919539124304197"), - field.NewFieldConstFromString("1695455639263736117"), - }, - - expectedPlonkZeta: field.QuadraticExtension{ - field.NewFieldConstFromString("14887793628029982930"), - field.NewFieldConstFromString("1136137158284059037"), - }, - - expectedFriAlpha: field.QuadraticExtension{ - field.NewFieldConstFromString("14641715242626918707"), - field.NewFieldConstFromString("10574243340537902930"), - }, - - expectedFriBetas: []field.QuadraticExtension{}, - - expectedFriQueryIndices: []field.F{ - field.NewFieldConst(6790812084677375942), - field.NewFieldConst(12394212020331474798), - field.NewFieldConst(16457600747000998582), - field.NewFieldConst(1543271328932331916), - field.NewFieldConst(12115726870906958644), - field.NewFieldConst(6775897107605342797), - field.NewFieldConst(15989401564746021030), - field.NewFieldConst(10691676456016926845), - field.NewFieldConst(1632499470630032007), - field.NewFieldConst(1317292355445098328), - field.NewFieldConst(18391440812534384252), - field.NewFieldConst(17321705613231354333), - field.NewFieldConst(6176487551308859603), - field.NewFieldConst(7119835651572002873), - field.NewFieldConst(3903019169623116693), - field.NewFieldConst(4886491111111487546), - field.NewFieldConst(4087641893164620518), - field.NewFieldConst(13801643080324181364), - field.NewFieldConst(16993775312274189321), - field.NewFieldConst(9268202926222765679), - field.NewFieldConst(10683001302406181735), - field.NewFieldConst(13359465725531647963), - field.NewFieldConst(4523327590105620849), - field.NewFieldConst(4883588003760409588), - field.NewFieldConst(187699146998097671), - field.NewFieldConst(14489263557623716717), - field.NewFieldConst(11748359318238148146), - field.NewFieldConst(13636347200053048758), - }, - } - witness := TestVerifierChallengesCircuit{} - err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} - -func TestDummyVerifierWitness(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestVerifierChallengesCircuit{ - proofWithPIsFilename: "./data/dummy_2^14_gates/proof_with_public_inputs.json", - commonCircuitDataFilename: "./data/dummy_2^14_gates/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "./data/dummy_2^14_gates/verifier_only_circuit_data.json", - t: t, - - expectedPublicInputsHash: poseidon.Hash{ - field.NewFieldConstFromString("0"), - field.NewFieldConstFromString("0"), - field.NewFieldConstFromString("0"), - field.NewFieldConstFromString("0"), - }, - - expectedPlonkBetas: []field.F{ - field.NewFieldConstFromString("11216469004148781751"), - field.NewFieldConstFromString("6201977337075152249"), - }, - - expectedPlonkGammas: []field.F{ - field.NewFieldConstFromString("8369751006669847974"), - field.NewFieldConstFromString("3610024170884289835"), - }, - - expectedPlonkAlphas: []field.F{ - field.NewFieldConstFromString("970160439138448145"), - field.NewFieldConstFromString("2402201283787401921"), - }, - - expectedPlonkZeta: field.QuadraticExtension{ - field.NewFieldConstFromString("17377750363769967882"), - field.NewFieldConstFromString("11921191651424768462"), - }, - - expectedFriAlpha: field.QuadraticExtension{ - field.NewFieldConstFromString("16721004555774385479"), - field.NewFieldConstFromString("10688151135543754663"), - }, - - expectedFriBetas: []field.QuadraticExtension{ - { - field.NewFieldConstFromString("3312441922957827805"), - field.NewFieldConstFromString("15128092514958289671"), - }, - { - field.NewFieldConstFromString("13630530769060141802"), - field.NewFieldConstFromString("14559883974933163008"), - }, - { - field.NewFieldConstFromString("16146508250083930687"), - field.NewFieldConstFromString("5176346568444408396"), - }, - }, - - expectedFriQueryIndices: []field.F{ - field.NewFieldConst(16334967868590615051), - field.NewFieldConst(2911473540496037915), - field.NewFieldConst(14887216056886344225), - field.NewFieldConst(7808811227805914295), - field.NewFieldConst(2018594961417375749), - field.NewFieldConst(3733368398777208435), - field.NewFieldConst(2623035669037055104), - field.NewFieldConst(299243030573481514), - field.NewFieldConst(7189789717962704433), - field.NewFieldConst(14566344026886816268), - field.NewFieldConst(12555390069003437453), - field.NewFieldConst(17225508403199418233), - field.NewFieldConst(5088797913879903292), - field.NewFieldConst(9715691392773433023), - field.NewFieldConst(7565836764713256165), - field.NewFieldConst(1500143546029322929), - field.NewFieldConst(1245802417104422080), - field.NewFieldConst(6831959786661245110), - field.NewFieldConst(17271054758535453780), - field.NewFieldConst(6225460404576395409), - field.NewFieldConst(15932661092896277351), - field.NewFieldConst(12452534049198240575), - field.NewFieldConst(4225199666055520177), - field.NewFieldConst(13235091290587791090), - field.NewFieldConst(2562357622728700774), - field.NewFieldConst(17676678042980201498), - field.NewFieldConst(5837067135702409874), - field.NewFieldConst(11238419549114325157), - }, - } - witness := TestVerifierChallengesCircuit{} // No real witness as the test circuit's Define function will inject in the witness - err := test.IsSolved(&circuit, &witness, field.TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} - type TestVerifierCircuit struct { proofWithPIsFilename string `gnark:"-"` commonCircuitDataFilename string `gnark:"-"` @@ -302,14 +26,14 @@ func (c *TestVerifierCircuit) Define(api frontend.API) error { return nil } -func TestDummyVerifier(t *testing.T) { +func TestDecodeBlockVerifier(t *testing.T) { assert := test.NewAssert(t) testCase := func() { circuit := TestVerifierCircuit{ - proofWithPIsFilename: "./data/dummy_2^14_gates/proof_with_public_inputs.json", - commonCircuitDataFilename: "./data/dummy_2^14_gates/common_circuit_data.json", - verifierOnlyCircuitDataFilename: "./data/dummy_2^14_gates/verifier_only_circuit_data.json", + proofWithPIsFilename: "./data/decode_block/proof_with_public_inputs.json", + commonCircuitDataFilename: "./data/decode_block/common_circuit_data.json", + verifierOnlyCircuitDataFilename: "./data/decode_block/verifier_only_circuit_data.json", } witness := TestVerifierCircuit{}