From a0d5ad37de88ef9dec68db23a134350f264ead1c Mon Sep 17 00:00:00 2001 From: Kevin Jue Date: Tue, 16 May 2023 11:13:42 -0700 Subject: [PATCH] Base sum gate (#7) * initial version of base_sum_gate * add recursive circuit benchmark files * added step circuit data and contant gate test * moved step testing data into gate_testing_utils * added test case for basesum gate * added test for arithmetic_gate --- field/quadratic_extension.go | 2 +- plonky2_verifier/arithmetic_gate_test.go | 54 + plonky2_verifier/base_sum_gate.go | 64 + plonky2_verifier/base_sum_gate_test.go | 49 + plonky2_verifier/constant_gate_test.go | 49 + .../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 + .../data/step/common_circuit_data.json | 205 + .../data/step/proof_with_public_inputs.json | 45430 ++++++++++++++++ .../data/step/verifier_only_circuit_data.json | 140 + plonky2_verifier/gate.go | 46 +- plonky2_verifier/gate_testing_utils.go | 220 + 16 files changed, 76099 insertions(+), 3 deletions(-) create mode 100644 plonky2_verifier/arithmetic_gate_test.go create mode 100644 plonky2_verifier/base_sum_gate.go create mode 100644 plonky2_verifier/base_sum_gate_test.go create mode 100644 plonky2_verifier/constant_gate_test.go create mode 100644 plonky2_verifier/data/recursive/common_circuit_data.json create mode 100644 plonky2_verifier/data/recursive/proof_with_public_inputs.json create mode 100644 plonky2_verifier/data/recursive/verifier_only_circuit_data.json create mode 100644 plonky2_verifier/data/recursive_small/common_circuit_data.json create mode 100644 plonky2_verifier/data/recursive_small/proof_with_public_inputs.json create mode 100644 plonky2_verifier/data/recursive_small/verifier_only_circuit_data.json create mode 100644 plonky2_verifier/data/step/common_circuit_data.json create mode 100644 plonky2_verifier/data/step/proof_with_public_inputs.json create mode 100644 plonky2_verifier/data/step/verifier_only_circuit_data.json create mode 100644 plonky2_verifier/gate_testing_utils.go diff --git a/field/quadratic_extension.go b/field/quadratic_extension.go index 46668e0..f571d3e 100644 --- a/field/quadratic_extension.go +++ b/field/quadratic_extension.go @@ -150,7 +150,7 @@ func (c *QuadraticExtensionAPI) Lookup2(b0 frontend.Variable, b1 frontend.Variab func (c *QuadraticExtensionAPI) AssertIsEqual(a, b QuadraticExtension) { for i := 0; i < 2; i++ { - c.fieldAPI.AssertIsEqual(a[0], b[0]) + c.fieldAPI.AssertIsEqual(a[i], b[i]) } } diff --git a/plonky2_verifier/arithmetic_gate_test.go b/plonky2_verifier/arithmetic_gate_test.go new file mode 100644 index 0000000..061a992 --- /dev/null +++ b/plonky2_verifier/arithmetic_gate_test.go @@ -0,0 +1,54 @@ +package plonky2_verifier + +import ( + "errors" + "fmt" + . "gnark-plonky2-verifier/field" + "testing" + + "github.com/consensys/gnark/frontend" + "github.com/consensys/gnark/test" +) + +type TestArithmeticGateCircuit struct{} + +func (circuit *TestArithmeticGateCircuit) Define(api frontend.API) error { + commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") + numSelectors := len(commonCircuitData.SelectorsInfo.groups) + + fieldAPI := NewFieldAPI(api) + qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) + plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) + + arithmeticGate := ArithmeticGate{numOps: 20} + vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} + + constraints := arithmeticGate.EvalUnfiltered(plonkChip, vars) + + if len(constraints) != len(arithmeticGateExpectedConstraints) { + return errors.New("arithmetic gate constraints length mismatch") + } + + for i := 0; i < len(constraints); i++ { + fmt.Printf("constraints[%d] = %v\n", i, constraints[i]) + } + + for i := 0; i < len(constraints); i++ { + qeAPI.AssertIsEqual(constraints[i], arithmeticGateExpectedConstraints[i]) + } + + return nil +} + +func TestArithmeticGate(t *testing.T) { + assert := test.NewAssert(t) + + testCase := func() { + circuit := TestArithmeticGateCircuit{} + witness := TestArithmeticGateCircuit{} + err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) + assert.NoError(err) + } + + testCase() +} diff --git a/plonky2_verifier/base_sum_gate.go b/plonky2_verifier/base_sum_gate.go new file mode 100644 index 0000000..a4310ec --- /dev/null +++ b/plonky2_verifier/base_sum_gate.go @@ -0,0 +1,64 @@ +package plonky2_verifier + +import ( + "fmt" + . "gnark-plonky2-verifier/field" +) + +const ( + WIRE_SUM = 0 + START_LIMBS = 1 +) + +type BaseSumGate struct { + numLimbs uint64 + base uint64 +} + +func NewBaseSumGate(numLimbs uint64, base uint64) *BaseSumGate { + return &BaseSumGate{ + numLimbs: numLimbs, + base: base, + } +} + +func (g *BaseSumGate) Id() string { + return fmt.Sprintf("BaseSumGate { num_ops: %d } + Base: %d", g.numLimbs, g.base) +} + +func (g *BaseSumGate) limbs() []uint64 { + limbIndices := make([]uint64, g.numLimbs) + for i := uint64(0); i < g.numLimbs; i++ { + limbIndices[i] = uint64(START_LIMBS + i) + } + + return limbIndices +} + +func (g *BaseSumGate) EvalUnfiltered(p *PlonkChip, vars EvaluationVars) []QuadraticExtension { + sum := vars.localWires[WIRE_SUM] + limbs := make([]QuadraticExtension, g.numLimbs) + limbIndices := g.limbs() + for i, limbIdx := range limbIndices { + limbs[i] = vars.localWires[limbIdx] + } + + base_qe := p.qeAPI.FieldToQE(NewFieldElement(g.base)) + computedSum := p.qeAPI.ReduceWithPowers( + limbs, + base_qe, + ) + + var constraints []QuadraticExtension + constraints = append(constraints, p.qeAPI.SubExtension(computedSum, sum)) + for _, limb := range limbs { + acc := p.qeAPI.ONE_QE + for i := uint64(0); i < g.base; i++ { + difference := p.qeAPI.SubExtension(limb, p.qeAPI.FieldToQE(NewFieldElement(i))) + acc = p.qeAPI.MulExtension(acc, difference) + } + constraints = append(constraints, acc) + } + + return constraints +} diff --git a/plonky2_verifier/base_sum_gate_test.go b/plonky2_verifier/base_sum_gate_test.go new file mode 100644 index 0000000..a67deab --- /dev/null +++ b/plonky2_verifier/base_sum_gate_test.go @@ -0,0 +1,49 @@ +package plonky2_verifier + +import ( + "errors" + . "gnark-plonky2-verifier/field" + "testing" + + "github.com/consensys/gnark/frontend" + "github.com/consensys/gnark/test" +) + +type TestBaseSumGateCircuit struct{} + +func (circuit *TestBaseSumGateCircuit) Define(api frontend.API) error { + commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") + numSelectors := len(commonCircuitData.SelectorsInfo.groups) + + fieldAPI := NewFieldAPI(api) + qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) + plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) + + baseSumGate := BaseSumGate{numLimbs: 32, base: 2} + vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} + + constraints := baseSumGate.EvalUnfiltered(plonkChip, vars) + + if len(constraints) != len(baseSumGateExpectedConstraints) { + return errors.New("constant gate constraints length mismatch") + } + + for i := 0; i < len(constraints); i++ { + qeAPI.AssertIsEqual(constraints[i], baseSumGateExpectedConstraints[i]) + } + + return nil +} + +func TestBaseSumGate(t *testing.T) { + assert := test.NewAssert(t) + + testCase := func() { + circuit := TestBaseSumGateCircuit{} + witness := TestBaseSumGateCircuit{} + err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) + assert.NoError(err) + } + + testCase() +} diff --git a/plonky2_verifier/constant_gate_test.go b/plonky2_verifier/constant_gate_test.go new file mode 100644 index 0000000..1705207 --- /dev/null +++ b/plonky2_verifier/constant_gate_test.go @@ -0,0 +1,49 @@ +package plonky2_verifier + +import ( + "errors" + . "gnark-plonky2-verifier/field" + "testing" + + "github.com/consensys/gnark/frontend" + "github.com/consensys/gnark/test" +) + +type TestConstantGateCircuit struct{} + +func (circuit *TestConstantGateCircuit) Define(api frontend.API) error { + commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") + numSelectors := len(commonCircuitData.SelectorsInfo.groups) + + fieldAPI := NewFieldAPI(api) + qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) + plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) + + constantGate := ConstantGate{numConsts: 2} + vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} + + constraints := constantGate.EvalUnfiltered(plonkChip, vars) + + if len(constraints) != len(constantGateExpectedConstraints) { + return errors.New("constant gate constraints length mismatch") + } + + for i := 0; i < len(constraints); i++ { + qeAPI.AssertIsEqual(constraints[i], constantGateExpectedConstraints[i]) + } + + return nil +} + +func TestConstantGate(t *testing.T) { + assert := test.NewAssert(t) + + testCase := func() { + circuit := TestConstantGateCircuit{} + witness := TestConstantGateCircuit{} + err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) + assert.NoError(err) + } + + testCase() +} diff --git a/plonky2_verifier/data/recursive/common_circuit_data.json b/plonky2_verifier/data/recursive/common_circuit_data.json new file mode 100644 index 0000000..ab9ad71 --- /dev/null +++ b/plonky2_verifier/data/recursive/common_circuit_data.json @@ -0,0 +1,173 @@ +{ + "config": { + "num_wires": 135, + "num_routed_wires": 80, + "num_constants": 2, + "use_base_arithmetic_gate": true, + "security_bits": 100, + "num_challenges": 2, + "zero_knowledge": false, + "max_quotient_degree_factor": 8, + "fri_config": { + "rate_bits": 3, + "cap_height": 4, + "proof_of_work_bits": 16, + "reduction_strategy": { + "ConstantArityBits": [ + 4, + 5 + ] + }, + "num_query_rounds": 28 + } + }, + "fri_params": { + "config": { + "rate_bits": 3, + "cap_height": 4, + "proof_of_work_bits": 16, + "reduction_strategy": { + "ConstantArityBits": [ + 4, + 5 + ] + }, + "num_query_rounds": 28 + }, + "hiding": false, + "degree_bits": 12, + "reduction_arity_bits": [ + 4, + 4 + ] + }, + "gates": [ + "NoopGate", + "PublicInputGate", + "BaseSumGate { num_limbs: 63 } + Base: 2", + "ReducingExtensionGate { num_coeffs: 32 }", + "ReducingGate { num_coeffs: 43 }", + "ArithmeticExtensionGate { num_ops: 10 }", + "ArithmeticGate { num_ops: 20 }", + "MulExtensionGate { num_ops: 13 }", + "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, 256, 18446744000695107601, 18446744065119617025, 1152921504338411520, 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"pow_witness": 9475573613781320756 + } + }, + "public_inputs": [] +} diff --git a/plonky2_verifier/data/step/verifier_only_circuit_data.json b/plonky2_verifier/data/step/verifier_only_circuit_data.json new file mode 100644 index 0000000..1bba6d6 --- /dev/null +++ b/plonky2_verifier/data/step/verifier_only_circuit_data.json @@ -0,0 +1,140 @@ +{ + "constants_sigmas_cap": [ + { + "elements": [ + 9037422181318074482, + 13844553280258601189, + 14013690396566737561, + 14600533186953608428 + ] + }, + { + "elements": [ + 3891365497285560518, + 6785071445101560305, + 7146616719154245281, + 8484433928946731576 + ] + }, + { + "elements": [ + 15935467950899360740, + 1041659913562170406, + 11898906592313038819, + 7940456224436700998 + ] + }, + { + "elements": [ + 17420135248456983, + 10686061014804565544, + 17782021355470763205, + 12726022340820773339 + ] + }, + { + "elements": [ + 13322967402317526249, + 12119892482906381301, + 1483851501277040422, + 17519911664522741561 + ] + }, + { + "elements": [ + 3901474702590233137, + 16494478574194405372, + 3644962804006307872, + 7967195830112920768 + ] + }, + { + "elements": [ + 15532816309418050992, + 11198055639421810456, + 7449000032233257165, + 6080646728225911938 + ] + }, + { + "elements": [ + 7944791944524511304, + 15470849481646525511, + 11102721978231118523, + 10011467322465036320 + ] + }, + { + "elements": [ + 14679375199524381062, + 9219647684485300612, + 8902882543708912876, + 6737676211275058717 + ] + }, + { + "elements": [ + 15215848762718399329, + 9538467614418882672, + 7337952705707955964, + 17932579689749986997 + ] + }, + { + "elements": [ + 3111383469397480110, + 17276616486884637185, + 10511216595022742027, + 3343575652946909638 + ] + }, + { + "elements": [ + 2417848701164748156, + 7846191940051381446, + 4363725272084187306, + 3143323624098735830 + ] + }, + { + "elements": [ + 7639597922146523429, + 14015537888097194053, + 10449936634441844342, + 3897071524048579556 + ] + }, + { + "elements": [ + 12445360068819311840, + 4910166437012489060, + 9670875686931891121, + 5569206524147441284 + ] + }, + { + "elements": [ + 6965775890897127688, + 14853930701622190781, + 2643689027677976461, + 1883768007952536249 + ] + }, + { + "elements": [ + 6771363979354677578, + 6567107174924251028, + 15758449129319031800, + 6619880945043941329 + ] + } + ], + "circuit_digest": { + "elements": [ + 8574090053162898339, + 2808971464690312489, + 14807704193989191909, + 14951686172889873386 + ] + } +} diff --git a/plonky2_verifier/gate.go b/plonky2_verifier/gate.go index d171299..e547b99 100644 --- a/plonky2_verifier/gate.go +++ b/plonky2_verifier/gate.go @@ -1,8 +1,8 @@ package plonky2_verifier import ( - "fmt" . "gnark-plonky2-verifier/field" + "regexp" "strconv" "strings" ) @@ -47,7 +47,49 @@ func GateInstanceFromId(gateId string) gate { return NewPoseidonGate() } - panic(fmt.Sprintf("Unknown gate ID %s", gateId)) + if strings.HasPrefix(gateId, "BaseSumGate") { + // Has the format "BaseSumGate { num_limbs: 32 } + Base: 2" + + regEx := "BaseSumGate { num_limbs: (?P[0-9]+) } \\+ Base: (?P[0-9]+)" + r, err := regexp.Compile(regEx) + if err != nil { + panic("Invalid BaseSumGate regular expression") + } + + matches := getRegExMatches(r, gateId) + numLimbsStr, hasNumLimbs := matches["numLimbs"] + baseStr, hasBase := matches["base"] + if !hasNumLimbs || !hasBase { + panic("Invalid BaseSumGate ID") + } + + numLimbs, err := strconv.Atoi(numLimbsStr) + if err != nil { + panic("Invalid BaseSumGate ID: " + err.Error()) + } + + base, err := strconv.Atoi(baseStr) + if err != nil { + panic("Invalid BaseSumGate ID: " + err.Error()) + } + + return NewBaseSumGate(uint64(numLimbs), uint64(base)) + } + + return nil + //panic(fmt.Sprintf("Unknown gate ID %s", gateId)) +} + +func getRegExMatches(r *regexp.Regexp, gateId string) map[string]string { + matches := r.FindStringSubmatch(gateId) + result := make(map[string]string) + for i, name := range r.SubexpNames() { + if i != 0 && name != "" { + result[name] = matches[i] + } + } + + return result } func (p *PlonkChip) computeFilter( diff --git a/plonky2_verifier/gate_testing_utils.go b/plonky2_verifier/gate_testing_utils.go new file mode 100644 index 0000000..8d836ee --- /dev/null +++ b/plonky2_verifier/gate_testing_utils.go @@ -0,0 +1,220 @@ +package plonky2_verifier + +import ( + . "gnark-plonky2-verifier/field" +) + +var localConstants = []QuadraticExtension{ + {NewFieldElement(14938388220067017512), NewFieldElement(6893617978345561255)}, + {NewFieldElement(2858278997849927318), NewFieldElement(14613858972289114497)}, + {NewFieldElement(12010705804054043554), NewFieldElement(17734088886423096402)}, + {NewFieldElement(6471692081681050808), NewFieldElement(18106394403447308154)}, + {NewFieldElement(12558554458272921972), NewFieldElement(2216637096996035026)}, + {NewFieldElement(2742311400964131460), NewFieldElement(9282906066726805869)}, + {NewFieldElement(6596410029573254275), NewFieldElement(10257498171037842553)}, +} + +var localWires = []QuadraticExtension{ + {NewFieldElement(2324480063341987239), NewFieldElement(988591962437064919)}, + {NewFieldElement(14688677982646642822), NewFieldElement(8146247054257470414)}, + {NewFieldElement(17333596212120632616), NewFieldElement(8229773878724567671)}, + {NewFieldElement(16821804945910820925), NewFieldElement(12343335221440433490)}, + {NewFieldElement(2756227950103887825), NewFieldElement(343560939592426117)}, + {NewFieldElement(16596623007682686427), NewFieldElement(16182492379544649001)}, + {NewFieldElement(11316887259286577994), NewFieldElement(5467115228713222299)}, + {NewFieldElement(1582490957227381752), NewFieldElement(6925101494868390621)}, + {NewFieldElement(17935248409332290352), NewFieldElement(12534157394828412916)}, + {NewFieldElement(1232026497545098356), NewFieldElement(14048694225063532055)}, + {NewFieldElement(11979806059027179452), NewFieldElement(17007628877389084459)}, + {NewFieldElement(6185211824111055171), NewFieldElement(11113325383534952676)}, + {NewFieldElement(5285260129504523793), NewFieldElement(2234312045539869327)}, + {NewFieldElement(5097097637012137260), NewFieldElement(6201025554481621574)}, + {NewFieldElement(6037242957330965254), NewFieldElement(8600833538151893000)}, + {NewFieldElement(1840669856531831838), NewFieldElement(15065652255235975922)}, + {NewFieldElement(12697827657439264676), NewFieldElement(8513261715427030745)}, + {NewFieldElement(17293199904676005799), NewFieldElement(3250033655198439882)}, + {NewFieldElement(15670279238000114139), NewFieldElement(2873593865532946130)}, + {NewFieldElement(8233044221496845350), NewFieldElement(7769536024141251466)}, + {NewFieldElement(7276958187322513627), NewFieldElement(1860660389845587459)}, + {NewFieldElement(9589532469937976759), NewFieldElement(7590567423994010364)}, + {NewFieldElement(16188252206420308967), NewFieldElement(1215332132961798729)}, + {NewFieldElement(4284385291851770933), NewFieldElement(8054708369354118180)}, + {NewFieldElement(951064484118793750), NewFieldElement(14928634967654532194)}, + {NewFieldElement(5756940583948879782), NewFieldElement(16919129773187566805)}, + {NewFieldElement(14616825313554663172), NewFieldElement(14608067953510361893)}, + {NewFieldElement(2218969368435230247), NewFieldElement(8314107073610762130)}, + {NewFieldElement(2846464114111699115), NewFieldElement(1739645682168118162)}, + {NewFieldElement(9428678995108626933), NewFieldElement(18300292734756419913)}, + {NewFieldElement(17837447932135148748), NewFieldElement(16963062756757640776)}, + {NewFieldElement(15769972692897111778), NewFieldElement(11937356836123640190)}, + {NewFieldElement(8427612563992716672), NewFieldElement(6338936101976157422)}, + {NewFieldElement(8087028861430760589), NewFieldElement(15904493721713953322)}, + {NewFieldElement(16852312552899313453), NewFieldElement(12703698940483431753)}, + {NewFieldElement(9385581021480003680), NewFieldElement(16428288666295194603)}, + {NewFieldElement(17228209431960982877), NewFieldElement(7918190884273718559)}, + {NewFieldElement(3132939554659874022), NewFieldElement(14065724777617623144)}, + {NewFieldElement(1997749289316112361), NewFieldElement(9278657719821874692)}, + {NewFieldElement(11261631966308838097), NewFieldElement(17864868364492856478)}, + {NewFieldElement(6870413790049792873), NewFieldElement(7958529866191467568)}, + {NewFieldElement(3285486169947371103), NewFieldElement(13432787563835021279)}, + {NewFieldElement(15050449752793271273), NewFieldElement(18354035013159256035)}, + {NewFieldElement(13156406563219393216), NewFieldElement(2811064537112579464)}, + {NewFieldElement(152960041933474907), NewFieldElement(1638753743319968389)}, + {NewFieldElement(319825484888354934), NewFieldElement(9316401211755928943)}, + {NewFieldElement(16408408071810237531), NewFieldElement(18410352386107353801)}, + {NewFieldElement(11721234235617526034), NewFieldElement(15999840912099509122)}, + {NewFieldElement(6334230580789589688), NewFieldElement(14426162209351753421)}, + {NewFieldElement(958567038590387846), NewFieldElement(8029518124072166613)}, + {NewFieldElement(14177438370769025330), NewFieldElement(16473317446385361345)}, + {NewFieldElement(15581189373117842086), NewFieldElement(5900338653012073386)}, + {NewFieldElement(8240400515986653624), NewFieldElement(14185121622736441262)}, + {NewFieldElement(6679588999186450167), NewFieldElement(7128455250623622155)}, + {NewFieldElement(16252662677474545634), NewFieldElement(11498423056076196888)}, + {NewFieldElement(15806801790824973416), NewFieldElement(2139294885746295937)}, + {NewFieldElement(2686237135450455588), NewFieldElement(11560495253516227160)}, + {NewFieldElement(10794154831626450247), NewFieldElement(14846136074280133457)}, + {NewFieldElement(10904017069956482237), NewFieldElement(16678728929164911588)}, + {NewFieldElement(77097765992419633), NewFieldElement(6037802885211793535)}, + {NewFieldElement(2948949654471962353), NewFieldElement(2821197372203299784)}, + {NewFieldElement(11058031646382030618), NewFieldElement(14661594862905661700)}, + {NewFieldElement(12154711323908739968), NewFieldElement(16167190320499561302)}, + {NewFieldElement(7860977505669195590), NewFieldElement(13935954304018092783)}, + {NewFieldElement(18189874348209070279), NewFieldElement(11538053105967940289)}, + {NewFieldElement(11425397866380016050), NewFieldElement(3629278068857786221)}, + {NewFieldElement(14222050824749623144), NewFieldElement(15140845573600227476)}, + {NewFieldElement(11344695042959853614), NewFieldElement(2169085408567386370)}, + {NewFieldElement(1382814149657132134), NewFieldElement(1236079356280021064)}, + {NewFieldElement(17447449634981200877), NewFieldElement(4036324561038142974)}, + {NewFieldElement(11667566735027246199), NewFieldElement(7504612499562579295)}, + {NewFieldElement(8096661641373469320), NewFieldElement(17495789134569173932)}, + {NewFieldElement(9772815018478920866), NewFieldElement(6155533504741603890)}, + {NewFieldElement(4680980484631369987), NewFieldElement(12005731930547792380)}, + {NewFieldElement(6030057570246380244), NewFieldElement(1574605083038813985)}, + {NewFieldElement(6754716419760683051), NewFieldElement(9739266036232852396)}, + {NewFieldElement(3724513823179248054), NewFieldElement(13013306109228123804)}, + {NewFieldElement(11890451292401098866), NewFieldElement(16486773210504598590)}, + {NewFieldElement(15585701182352051988), NewFieldElement(11720999619266399739)}, + {NewFieldElement(7485278618867936600), NewFieldElement(11145589513887907261)}, + {NewFieldElement(14193072368816296635), NewFieldElement(7323345281142640608)}, + {NewFieldElement(17524516352488247889), NewFieldElement(15683878140283813020)}, + {NewFieldElement(12837567742060157665), NewFieldElement(4718676941458713108)}, + {NewFieldElement(6217075579383787974), NewFieldElement(6370591763549375649)}, + {NewFieldElement(8359486437738096506), NewFieldElement(10778994345307569722)}, + {NewFieldElement(4952581951776675799), NewFieldElement(17817948246329576635)}, + {NewFieldElement(3976052009388288681), NewFieldElement(17849902626188930996)}, + {NewFieldElement(17810794672545767939), NewFieldElement(1041595632469164526)}, + {NewFieldElement(14280479506185077398), NewFieldElement(9432275670660632521)}, + {NewFieldElement(16096793441725012598), NewFieldElement(14080357378312550361)}, + {NewFieldElement(2808358450883300976), NewFieldElement(18155683068497079023)}, + {NewFieldElement(12506615906620507426), NewFieldElement(13547702647793093771)}, + {NewFieldElement(543665817978834688), NewFieldElement(11749575935793871460)}, + {NewFieldElement(14472836352047062696), NewFieldElement(12745333723416264174)}, + {NewFieldElement(12981918713322309538), NewFieldElement(12274815259004888156)}, + {NewFieldElement(8926153023959879624), NewFieldElement(15612804752658609157)}, + {NewFieldElement(15470343302949437595), NewFieldElement(11164995109470525521)}, + {NewFieldElement(10520929231082168869), NewFieldElement(16888496821066277493)}, + {NewFieldElement(1028056151721181243), NewFieldElement(8120934238589042033)}, + {NewFieldElement(1810007995141850479), NewFieldElement(2490559022189551873)}, + {NewFieldElement(1867732552988682347), NewFieldElement(8352749138289783478)}, + {NewFieldElement(1772251986087179577), NewFieldElement(1151343330961505549)}, + {NewFieldElement(14295941257654230218), NewFieldElement(8638985198387420860)}, + {NewFieldElement(582917963870113299), NewFieldElement(13301360102508097820)}, + {NewFieldElement(18438694801095657876), NewFieldElement(2953322262478232169)}, + {NewFieldElement(7603887573063566422), NewFieldElement(6091524026276266924)}, + {NewFieldElement(7184877376568353020), NewFieldElement(5312277526863426709)}, + {NewFieldElement(4845801136589914168), NewFieldElement(1561342471733565936)}, + {NewFieldElement(13089468615522535612), NewFieldElement(4057681051840817565)}, + {NewFieldElement(14153633198781966944), NewFieldElement(11670642633718804558)}, + {NewFieldElement(16238871251946995480), NewFieldElement(9879378414393071037)}, + {NewFieldElement(407815114363153064), NewFieldElement(18417737282937069683)}, + {NewFieldElement(10314092695875136843), NewFieldElement(17129917118418209854)}, + {NewFieldElement(14435763837662532097), NewFieldElement(4319511190642832713)}, + {NewFieldElement(11747855857520646712), NewFieldElement(7041602666708225251)}, + {NewFieldElement(9175192383987399327), NewFieldElement(4409574583823547850)}, + {NewFieldElement(9548913170337855226), NewFieldElement(4160834878925069440)}, + {NewFieldElement(965944482423049129), NewFieldElement(14015844569022395350)}, + {NewFieldElement(17244878179047663844), NewFieldElement(925516683252056953)}, + {NewFieldElement(11530194255376349088), NewFieldElement(3004909091927990154)}, + {NewFieldElement(5197253289126122309), NewFieldElement(4693726439926432566)}, + {NewFieldElement(16039381979512237027), NewFieldElement(8603041366636528085)}, + {NewFieldElement(6094270808101390314), NewFieldElement(13412584619695658458)}, + {NewFieldElement(300463888721818101), NewFieldElement(1345726875223674416)}, + {NewFieldElement(15941208658209056668), NewFieldElement(9615553092932888024)}, + {NewFieldElement(12935711669717280950), NewFieldElement(1779981135440026594)}, + {NewFieldElement(1903849940544955596), NewFieldElement(3220793888228552075)}, + {NewFieldElement(17009281029954729848), NewFieldElement(12717382096012389232)}, + {NewFieldElement(8308499022107883215), NewFieldElement(7238839475668369173)}, + {NewFieldElement(4681909377350889716), NewFieldElement(9121889619872786537)}, + {NewFieldElement(16745334188484332040), NewFieldElement(13880192213923952919)}, + {NewFieldElement(8275654896887061920), NewFieldElement(5378310777055483996)}, + {NewFieldElement(2877567868802486135), NewFieldElement(3737222674819658170)}, + {NewFieldElement(7662876313147287437), NewFieldElement(15849146076823477077)}, + {NewFieldElement(15996655521860650011), NewFieldElement(10796039480722311424)}, + {NewFieldElement(3451129575094269729), NewFieldElement(9506170035703226854)}, +} + +var publicInputsHash = Hash{ZERO_F, ZERO_F, ZERO_F, ZERO_F} + +var constantGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(417831337622144221), NewFieldElement(8294314104289740950)}, + {NewFieldElement(10354476116341195774), NewFieldElement(2111251116780372139)}, +} + +var baseSumGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(13342375419378862774), NewFieldElement(2280369543228400622)}, + {NewFieldElement(4343016273263963301), NewFieldElement(8670112296843354731)}, + {NewFieldElement(16450085172304373435), NewFieldElement(9474921066378691247)}, + {NewFieldElement(10825438813181866983), NewFieldElement(4721788102061048468)}, + {NewFieldElement(2653358151822415377), NewFieldElement(16941658162630334598)}, + {NewFieldElement(16109827603357243766), NewFieldElement(2469723755597001985)}, + {NewFieldElement(16092509697995123079), NewFieldElement(15792545805376063500)}, + {NewFieldElement(18220570683647205186), NewFieldElement(15344882637457318583)}, + {NewFieldElement(11198665856327480684), NewFieldElement(5553903935302684834)}, + {NewFieldElement(10482437897580882341), NewFieldElement(8685229612947119045)}, + {NewFieldElement(4559642503814598145), NewFieldElement(10753102667902815825)}, + {NewFieldElement(622804064827561260), NewFieldElement(581766069302707440)}, + {NewFieldElement(18211909441470681488), NewFieldElement(9918892113105798061)}, + {NewFieldElement(17690944039562025874), NewFieldElement(10477359595782407734)}, + {NewFieldElement(10779840836031384949), NewFieldElement(5788395352825863117)}, + {NewFieldElement(16642771945619329948), NewFieldElement(16143638493085149246)}, + {NewFieldElement(4736242245615047143), NewFieldElement(8163893235093339079)}, + {NewFieldElement(1094576462017674831), NewFieldElement(174501253315632830)}, + {NewFieldElement(13301388104345214501), NewFieldElement(10119526634662127335)}, + {NewFieldElement(8813857633984933142), NewFieldElement(3166911591676225444)}, + {NewFieldElement(4484502504021732255), NewFieldElement(1409252568845542666)}, + {NewFieldElement(1370941442659786223), NewFieldElement(17296588456662108571)}, + {NewFieldElement(4569099382027624816), NewFieldElement(17912433869630853419)}, + {NewFieldElement(14131075703244612804), NewFieldElement(3689236699393284763)}, + {NewFieldElement(18110259573622113024), NewFieldElement(6304531968860732013)}, + {NewFieldElement(8367598931797559807), NewFieldElement(15403657336885577186)}, + {NewFieldElement(14940830541973671114), NewFieldElement(7321434648394309094)}, + {NewFieldElement(4391132182759374634), NewFieldElement(5732898826353006639)}, + {NewFieldElement(7456591484914201025), NewFieldElement(18109528517204812723)}, + {NewFieldElement(17161771796959903109), NewFieldElement(13156261145684066101)}, + {NewFieldElement(13536084388374414797), NewFieldElement(2054701847843415519)}, + {NewFieldElement(14910161626746342494), NewFieldElement(16386413929249303239)}, + {NewFieldElement(135663282453455528), NewFieldElement(7326002312332878726)}, +} + +var arithmeticGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(9603520691216808695), NewFieldElement(4690376779053831127)}, + {NewFieldElement(5966866800636406163), NewFieldElement(6497324789933336132)}, + {NewFieldElement(6878826495788308741), NewFieldElement(6127451825087650238)}, + {NewFieldElement(6678434778566461093), NewFieldElement(4026425239249050845)}, + {NewFieldElement(12356209889502117742), NewFieldElement(2848290571099391070)}, + {NewFieldElement(7541992239029108782), NewFieldElement(17950940401537766942)}, + {NewFieldElement(8908708207493246100), NewFieldElement(7160028060821122527)}, + {NewFieldElement(409323751734912343), NewFieldElement(24526598513461753)}, + {NewFieldElement(10095343333078580948), NewFieldElement(9161015237592230075)}, + {NewFieldElement(11010535831715159243), NewFieldElement(15218713219737909314)}, + {NewFieldElement(1130027067868936767), NewFieldElement(348988747125952834)}, + {NewFieldElement(4887152687323312043), NewFieldElement(2858818833929316587)}, + {NewFieldElement(2026398252660761898), NewFieldElement(14463964653784091512)}, + {NewFieldElement(11677435047184556805), NewFieldElement(14702888148318045748)}, + {NewFieldElement(2582432912602788354), NewFieldElement(6113339395054066192)}, + {NewFieldElement(6676401481409103862), NewFieldElement(423414056716918306)}, + {NewFieldElement(10348954695605340465), NewFieldElement(9794647822577644958)}, + {NewFieldElement(15581055079466977733), NewFieldElement(2184227200414011915)}, + {NewFieldElement(16837665759306664052), NewFieldElement(13229282844806523763)}, + {NewFieldElement(15646775329525033386), NewFieldElement(7893047165846868816)}, +}