From 469eabd45189614645c0d36ad587785d97ee9f9a Mon Sep 17 00:00:00 2001 From: arnaucube Date: Sun, 28 Jul 2019 12:56:13 +0200 Subject: [PATCH] split trustedsetup in Pk & Vk for proof generation & verification smaller inputs --- cli/main.go | 13 ++--- groth16/groth16.go | 101 +++++++++++++++++----------------- groth16/groth16_test.go | 6 +- snark.go | 91 +++++++++++++++--------------- snark_test.go | 24 ++++---- wasm/go-snark-wasm-wrapper.go | 8 +-- wasm/go-snark.wasm | Bin 3867208 -> 3865879 bytes wasm/utils/utils.go | 30 ++++------ 8 files changed, 136 insertions(+), 137 deletions(-) diff --git a/cli/main.go b/cli/main.go index 3733e48..1130d74 100644 --- a/cli/main.go +++ b/cli/main.go @@ -274,8 +274,7 @@ func TrustedSetup(context *cli.Context) error { var tsetup snark.Setup tsetup.Pk = setup.Pk tsetup.Vk = setup.Vk - tsetup.G1T = setup.G1T - tsetup.G2T = setup.G2T + tsetup.Pk.G1T = setup.Pk.G1T // store setup to json jsonData, err := json.Marshal(tsetup) @@ -344,10 +343,10 @@ func GenerateProofs(context *cli.Context) error { hx := snark.Utils.PF.DivisorPolynomial(px, trustedsetup.Pk.Z) fmt.Println(circuit) - fmt.Println(trustedsetup.G1T) + fmt.Println(trustedsetup.Pk.G1T) fmt.Println(hx) fmt.Println(w) - proof, err := snark.GenerateProofs(circuit, trustedsetup, w, px) + proof, err := snark.GenerateProofs(circuit, trustedsetup.Pk, w, px) panicErr(err) fmt.Println("\n proofs:") @@ -388,7 +387,7 @@ func VerifyProofs(context *cli.Context) error { err = json.Unmarshal([]byte(string(publicInputsFile)), &publicSignals) panicErr(err) - verified := snark.VerifyProof(trustedsetup, proof, publicSignals, true) + verified := snark.VerifyProof(trustedsetup.Vk, proof, publicSignals, true) if !verified { fmt.Println("ERROR: proofs not verified") } else { @@ -499,7 +498,7 @@ func Groth16GenerateProofs(context *cli.Context) error { fmt.Println(trustedsetup.Pk.PowersTauDelta) fmt.Println(hx) fmt.Println(w) - proof, err := groth16.GenerateProofs(circuit, trustedsetup, w, px) + proof, err := groth16.GenerateProofs(circuit, trustedsetup.Pk, w, px) panicErr(err) fmt.Println("\n proofs:") @@ -540,7 +539,7 @@ func Groth16VerifyProofs(context *cli.Context) error { err = json.Unmarshal([]byte(string(publicInputsFile)), &publicSignals) panicErr(err) - verified := groth16.VerifyProof(trustedsetup, proof, publicSignals, true) + verified := groth16.VerifyProof(trustedsetup.Vk, proof, publicSignals, true) if !verified { fmt.Println("ERROR: proofs not verified") } else { diff --git a/groth16/groth16.go b/groth16/groth16.go index e028997..e095b7b 100644 --- a/groth16/groth16.go +++ b/groth16/groth16.go @@ -12,6 +12,36 @@ import ( "github.com/arnaucube/go-snark/r1csqap" ) +type Pk struct { // Proving Key + BACDelta [][3]*big.Int // {( βui(x)+αvi(x)+wi(x) ) / δ } from l+1 to m + Z []*big.Int + G1 struct { + Alpha [3]*big.Int + Beta [3]*big.Int + Delta [3]*big.Int + At [][3]*big.Int // {a(τ)} from 0 to m + BACGamma [][3]*big.Int // {( βui(x)+αvi(x)+wi(x) ) / γ } from 0 to m + } + G2 struct { + Beta [3][2]*big.Int + Gamma [3][2]*big.Int + Delta [3][2]*big.Int + BACGamma [][3][2]*big.Int // {( βui(x)+αvi(x)+wi(x) ) / γ } from 0 to m + } + PowersTauDelta [][3]*big.Int // powers of τ encrypted in G1 curve, divided by δ +} +type Vk struct { + IC [][3]*big.Int + G1 struct { + Alpha [3]*big.Int + } + G2 struct { + Beta [3][2]*big.Int + Gamma [3][2]*big.Int + Delta [3][2]*big.Int + } +} + // Setup is the data structure holding the Trusted Setup data. The Setup.Toxic sub struct must be destroyed after the GenerateTrustedSetup function is completed type Setup struct { Toxic struct { @@ -23,35 +53,8 @@ type Setup struct { } // public - Pk struct { // Proving Key - BACDelta [][3]*big.Int // {( βui(x)+αvi(x)+wi(x) ) / δ } from l+1 to m - Z []*big.Int - G1 struct { - Alpha [3]*big.Int - Beta [3]*big.Int - Delta [3]*big.Int - At [][3]*big.Int // {a(τ)} from 0 to m - BACGamma [][3]*big.Int // {( βui(x)+αvi(x)+wi(x) ) / γ } from 0 to m - } - G2 struct { - Beta [3][2]*big.Int - Gamma [3][2]*big.Int - Delta [3][2]*big.Int - BACGamma [][3][2]*big.Int // {( βui(x)+αvi(x)+wi(x) ) / γ } from 0 to m - } - PowersTauDelta [][3]*big.Int // powers of τ encrypted in G1 curve, divided by δ - } - Vk struct { - IC [][3]*big.Int - G1 struct { - Alpha [3]*big.Int - } - G2 struct { - Beta [3][2]*big.Int - Gamma [3][2]*big.Int - Delta [3][2]*big.Int - } - } + Pk Pk + Vk Vk } // Proof contains the parameters to proof the zkSNARK @@ -219,7 +222,7 @@ func GenerateTrustedSetup(witnessLength int, circuit circuitcompiler.Circuit, al } // GenerateProofs generates all the parameters to proof the zkSNARK from the Circuit, Setup and the Witness -func GenerateProofs(circuit circuitcompiler.Circuit, setup Setup, w []*big.Int, px []*big.Int) (Proof, error) { +func GenerateProofs(circuit circuitcompiler.Circuit, pk Pk, w []*big.Int, px []*big.Int) (Proof, error) { var proof Proof proof.PiA = [3]*big.Int{Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero()} proof.PiB = Utils.Bn.Fq6.Zero() @@ -238,57 +241,57 @@ func GenerateProofs(circuit circuitcompiler.Circuit, setup Setup, w []*big.Int, piBG1 := [3]*big.Int{Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero()} for i := 0; i < circuit.NVars; i++ { - proof.PiA = Utils.Bn.G1.Add(proof.PiA, Utils.Bn.G1.MulScalar(setup.Pk.G1.At[i], w[i])) - piBG1 = Utils.Bn.G1.Add(piBG1, Utils.Bn.G1.MulScalar(setup.Pk.G1.BACGamma[i], w[i])) - proof.PiB = Utils.Bn.G2.Add(proof.PiB, Utils.Bn.G2.MulScalar(setup.Pk.G2.BACGamma[i], w[i])) + proof.PiA = Utils.Bn.G1.Add(proof.PiA, Utils.Bn.G1.MulScalar(pk.G1.At[i], w[i])) + piBG1 = Utils.Bn.G1.Add(piBG1, Utils.Bn.G1.MulScalar(pk.G1.BACGamma[i], w[i])) + proof.PiB = Utils.Bn.G2.Add(proof.PiB, Utils.Bn.G2.MulScalar(pk.G2.BACGamma[i], w[i])) } for i := circuit.NPublic + 1; i < circuit.NVars; i++ { - proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(setup.Pk.BACDelta[i], w[i])) + proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(pk.BACDelta[i], w[i])) } // piA = (Σ from 0 to m (pk.A * w[i])) + pk.Alpha1 + r * δ - proof.PiA = Utils.Bn.G1.Add(proof.PiA, setup.Pk.G1.Alpha) - deltaR := Utils.Bn.G1.MulScalar(setup.Pk.G1.Delta, r) + proof.PiA = Utils.Bn.G1.Add(proof.PiA, pk.G1.Alpha) + deltaR := Utils.Bn.G1.MulScalar(pk.G1.Delta, r) proof.PiA = Utils.Bn.G1.Add(proof.PiA, deltaR) // piBG1 = (Σ from 0 to m (pk.B1 * w[i])) + pk.g1.Beta + s * δ // piB = piB2 = (Σ from 0 to m (pk.B2 * w[i])) + pk.g2.Beta + s * δ - piBG1 = Utils.Bn.G1.Add(piBG1, setup.Pk.G1.Beta) - proof.PiB = Utils.Bn.G2.Add(proof.PiB, setup.Pk.G2.Beta) - deltaSG1 := Utils.Bn.G1.MulScalar(setup.Pk.G1.Delta, s) + piBG1 = Utils.Bn.G1.Add(piBG1, pk.G1.Beta) + proof.PiB = Utils.Bn.G2.Add(proof.PiB, pk.G2.Beta) + deltaSG1 := Utils.Bn.G1.MulScalar(pk.G1.Delta, s) piBG1 = Utils.Bn.G1.Add(piBG1, deltaSG1) - deltaSG2 := Utils.Bn.G2.MulScalar(setup.Pk.G2.Delta, s) + deltaSG2 := Utils.Bn.G2.MulScalar(pk.G2.Delta, s) proof.PiB = Utils.Bn.G2.Add(proof.PiB, deltaSG2) - hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z) // maybe move this calculation to a previous step + hx := Utils.PF.DivisorPolynomial(px, pk.Z) // maybe move this calculation to a previous step // piC = (Σ from l+1 to m (w[i] * (pk.g1.Beta + pk.g1.Alpha + pk.C)) + h(tau)) / δ) + piA*s + r*piB - r*s*δ for i := 0; i < len(hx); i++ { - proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(setup.Pk.PowersTauDelta[i], hx[i])) + proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(pk.PowersTauDelta[i], hx[i])) } proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(proof.PiA, s)) proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(piBG1, r)) negRS := Utils.FqR.Neg(Utils.FqR.Mul(r, s)) - proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(setup.Pk.G1.Delta, negRS)) + proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(pk.G1.Delta, negRS)) return proof, nil } // VerifyProof verifies over the BN128 the Pairings of the Proof -func VerifyProof(setup Setup, proof Proof, publicSignals []*big.Int, debug bool) bool { +func VerifyProof(vk Vk, proof Proof, publicSignals []*big.Int, debug bool) bool { - icPubl := setup.Vk.IC[0] + icPubl := vk.IC[0] for i := 0; i < len(publicSignals); i++ { - icPubl = Utils.Bn.G1.Add(icPubl, Utils.Bn.G1.MulScalar(setup.Vk.IC[i+1], publicSignals[i])) + icPubl = Utils.Bn.G1.Add(icPubl, Utils.Bn.G1.MulScalar(vk.IC[i+1], publicSignals[i])) } if !Utils.Bn.Fq12.Equal( Utils.Bn.Pairing(proof.PiA, proof.PiB), Utils.Bn.Fq12.Mul( - Utils.Bn.Pairing(setup.Vk.G1.Alpha, setup.Vk.G2.Beta), + Utils.Bn.Pairing(vk.G1.Alpha, vk.G2.Beta), Utils.Bn.Fq12.Mul( - Utils.Bn.Pairing(icPubl, setup.Vk.G2.Gamma), - Utils.Bn.Pairing(proof.PiC, setup.Vk.G2.Delta)))) { + Utils.Bn.Pairing(icPubl, vk.G2.Gamma), + Utils.Bn.Pairing(proof.PiC, vk.G2.Delta)))) { if debug { fmt.Println("❌ groth16 verification not passed") } diff --git a/groth16/groth16_test.go b/groth16/groth16_test.go index 63c48b9..cb9562c 100644 --- a/groth16/groth16_test.go +++ b/groth16/groth16_test.go @@ -85,7 +85,7 @@ func TestGroth16MinimalFlow(t *testing.T) { // check length of polynomials H(x) and Z(x) assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1) - proof, err := GenerateProofs(*circuit, setup, w, px) + proof, err := GenerateProofs(*circuit, setup.Pk, w, px) assert.Nil(t, err) // fmt.Println("\n proofs:") @@ -97,11 +97,11 @@ func TestGroth16MinimalFlow(t *testing.T) { b35Verif := big.NewInt(int64(35)) publicSignalsVerif := []*big.Int{b35Verif} before := time.Now() - assert.True(t, VerifyProof(setup, proof, publicSignalsVerif, true)) + assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true)) fmt.Println("verify proof time elapsed:", time.Since(before)) // check that with another public input the verification returns false bOtherWrongPublic := big.NewInt(int64(34)) wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic} - assert.True(t, !VerifyProof(setup, proof, wrongPublicSignalsVerif, false)) + assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false)) } diff --git a/snark.go b/snark.go index 6e6e8c1..2c4fe61 100644 --- a/snark.go +++ b/snark.go @@ -13,6 +13,29 @@ import ( "github.com/arnaucube/go-snark/r1csqap" ) +type Pk struct { // Proving Key pk:=(pkA, pkB, pkC, pkH) + G1T [][3]*big.Int // t encrypted in G1 curve, G1T == Pk.H + A [][3]*big.Int + B [][3][2]*big.Int + C [][3]*big.Int + Kp [][3]*big.Int + Ap [][3]*big.Int + Bp [][3]*big.Int + Cp [][3]*big.Int + Z []*big.Int +} + +type Vk struct { + Vka [3][2]*big.Int + Vkb [3]*big.Int + Vkc [3][2]*big.Int + IC [][3]*big.Int + G1Kbg [3]*big.Int // g1 * Kbeta * Kgamma + G2Kbg [3][2]*big.Int // g2 * Kbeta * Kgamma + G2Kg [3][2]*big.Int // g2 * Kgamma + Vkz [3][2]*big.Int +} + // Setup is the data structure holding the Trusted Setup data. The Setup.Toxic sub struct must be destroyed after the GenerateTrustedSetup function is completed type Setup struct { Toxic struct { @@ -28,28 +51,8 @@ type Setup struct { } // public - G1T [][3]*big.Int // t encrypted in G1 curve, G1T == Pk.H - G2T [][3][2]*big.Int // t encrypted in G2 curve - Pk struct { // Proving Key pk:=(pkA, pkB, pkC, pkH) - A [][3]*big.Int - B [][3][2]*big.Int - C [][3]*big.Int - Kp [][3]*big.Int - Ap [][3]*big.Int - Bp [][3]*big.Int - Cp [][3]*big.Int - Z []*big.Int - } - Vk struct { - Vka [3][2]*big.Int - Vkb [3]*big.Int - Vkc [3][2]*big.Int - IC [][3]*big.Int - G1Kbg [3]*big.Int // g1 * Kbeta * Kgamma - G2Kbg [3][2]*big.Int // g2 * Kbeta * Kgamma - G2Kg [3][2]*big.Int // g2 * Kgamma - Vkz [3][2]*big.Int - } + Pk Pk + Vk Vk } // Proof contains the parameters to proof the zkSNARK @@ -242,13 +245,13 @@ func GenerateTrustedSetup(witnessLength int, circuit circuitcompiler.Circuit, al // tEncr = Utils.Bn.Fq1.Mul(tEncr, setup.Toxic.T) tEncr = Utils.FqR.Mul(tEncr, setup.Toxic.T) } - setup.G1T = gt1 + setup.Pk.G1T = gt1 return setup, nil } // GenerateProofs generates all the parameters to proof the zkSNARK from the Circuit, Setup and the Witness -func GenerateProofs(circuit circuitcompiler.Circuit, setup Setup, w []*big.Int, px []*big.Int) (Proof, error) { +func GenerateProofs(circuit circuitcompiler.Circuit, pk Pk, w []*big.Int, px []*big.Int) (Proof, error) { var proof Proof proof.PiA = [3]*big.Int{Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero()} proof.PiAp = [3]*big.Int{Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero()} @@ -260,35 +263,35 @@ func GenerateProofs(circuit circuitcompiler.Circuit, setup Setup, w []*big.Int, proof.PiKp = [3]*big.Int{Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero(), Utils.Bn.G1.F.Zero()} for i := circuit.NPublic + 1; i < circuit.NVars; i++ { - proof.PiA = Utils.Bn.G1.Add(proof.PiA, Utils.Bn.G1.MulScalar(setup.Pk.A[i], w[i])) - proof.PiAp = Utils.Bn.G1.Add(proof.PiAp, Utils.Bn.G1.MulScalar(setup.Pk.Ap[i], w[i])) + proof.PiA = Utils.Bn.G1.Add(proof.PiA, Utils.Bn.G1.MulScalar(pk.A[i], w[i])) + proof.PiAp = Utils.Bn.G1.Add(proof.PiAp, Utils.Bn.G1.MulScalar(pk.Ap[i], w[i])) } for i := 0; i < circuit.NVars; i++ { - proof.PiB = Utils.Bn.G2.Add(proof.PiB, Utils.Bn.G2.MulScalar(setup.Pk.B[i], w[i])) - proof.PiBp = Utils.Bn.G1.Add(proof.PiBp, Utils.Bn.G1.MulScalar(setup.Pk.Bp[i], w[i])) + proof.PiB = Utils.Bn.G2.Add(proof.PiB, Utils.Bn.G2.MulScalar(pk.B[i], w[i])) + proof.PiBp = Utils.Bn.G1.Add(proof.PiBp, Utils.Bn.G1.MulScalar(pk.Bp[i], w[i])) - proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(setup.Pk.C[i], w[i])) - proof.PiCp = Utils.Bn.G1.Add(proof.PiCp, Utils.Bn.G1.MulScalar(setup.Pk.Cp[i], w[i])) + proof.PiC = Utils.Bn.G1.Add(proof.PiC, Utils.Bn.G1.MulScalar(pk.C[i], w[i])) + proof.PiCp = Utils.Bn.G1.Add(proof.PiCp, Utils.Bn.G1.MulScalar(pk.Cp[i], w[i])) - proof.PiKp = Utils.Bn.G1.Add(proof.PiKp, Utils.Bn.G1.MulScalar(setup.Pk.Kp[i], w[i])) + proof.PiKp = Utils.Bn.G1.Add(proof.PiKp, Utils.Bn.G1.MulScalar(pk.Kp[i], w[i])) } - hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z) // maybe move this calculation to a previous step + hx := Utils.PF.DivisorPolynomial(px, pk.Z) // maybe move this calculation to a previous step // piH = pkH,0 + sum ( hi * pk H,i ), where pkH = G1T, hi=hx - // proof.PiH = Utils.Bn.G1.Add(proof.PiH, setup.G1T[0]) + // proof.PiH = Utils.Bn.G1.Add(proof.PiH, pk.G1T[0]) for i := 0; i < len(hx); i++ { - proof.PiH = Utils.Bn.G1.Add(proof.PiH, Utils.Bn.G1.MulScalar(setup.G1T[i], hx[i])) + proof.PiH = Utils.Bn.G1.Add(proof.PiH, Utils.Bn.G1.MulScalar(pk.G1T[i], hx[i])) } return proof, nil } // VerifyProof verifies over the BN128 the Pairings of the Proof -func VerifyProof(setup Setup, proof Proof, publicSignals []*big.Int, debug bool) bool { +func VerifyProof(vk Vk, proof Proof, publicSignals []*big.Int, debug bool) bool { // e(piA, Va) == e(piA', g2) - pairingPiaVa := Utils.Bn.Pairing(proof.PiA, setup.Vk.Vka) + pairingPiaVa := Utils.Bn.Pairing(proof.PiA, vk.Vka) pairingPiapG2 := Utils.Bn.Pairing(proof.PiAp, Utils.Bn.G2.G) if !Utils.Bn.Fq12.Equal(pairingPiaVa, pairingPiapG2) { if debug { @@ -301,7 +304,7 @@ func VerifyProof(setup Setup, proof Proof, publicSignals []*big.Int, debug bool) } // e(Vb, piB) == e(piB', g2) - pairingVbPib := Utils.Bn.Pairing(setup.Vk.Vkb, proof.PiB) + pairingVbPib := Utils.Bn.Pairing(vk.Vkb, proof.PiB) pairingPibpG2 := Utils.Bn.Pairing(proof.PiBp, Utils.Bn.G2.G) if !Utils.Bn.Fq12.Equal(pairingVbPib, pairingPibpG2) { if debug { @@ -314,7 +317,7 @@ func VerifyProof(setup Setup, proof Proof, publicSignals []*big.Int, debug bool) } // e(piC, Vc) == e(piC', g2) - pairingPicVc := Utils.Bn.Pairing(proof.PiC, setup.Vk.Vkc) + pairingPicVc := Utils.Bn.Pairing(proof.PiC, vk.Vkc) pairingPicpG2 := Utils.Bn.Pairing(proof.PiCp, Utils.Bn.G2.G) if !Utils.Bn.Fq12.Equal(pairingPicVc, pairingPicpG2) { if debug { @@ -327,16 +330,16 @@ func VerifyProof(setup Setup, proof Proof, publicSignals []*big.Int, debug bool) } // Vkx, to then calculate Vkx+piA - vkxpia := setup.Vk.IC[0] + vkxpia := vk.IC[0] for i := 0; i < len(publicSignals); i++ { - vkxpia = Utils.Bn.G1.Add(vkxpia, Utils.Bn.G1.MulScalar(setup.Vk.IC[i+1], publicSignals[i])) + vkxpia = Utils.Bn.G1.Add(vkxpia, Utils.Bn.G1.MulScalar(vk.IC[i+1], publicSignals[i])) } // e(Vkx+piA, piB) == e(piH, Vkz) * e(piC, g2) if !Utils.Bn.Fq12.Equal( Utils.Bn.Pairing(Utils.Bn.G1.Add(vkxpia, proof.PiA), proof.PiB), // TODO Add(vkxpia, proof.PiA) can go outside in order to save computation, as is reused later Utils.Bn.Fq12.Mul( - Utils.Bn.Pairing(proof.PiH, setup.Vk.Vkz), + Utils.Bn.Pairing(proof.PiH, vk.Vkz), Utils.Bn.Pairing(proof.PiC, Utils.Bn.G2.G))) { if debug { fmt.Println("❌ e(Vkx+piA, piB) == e(piH, Vkz) * e(piC, g2), QAP disibility checked") @@ -350,10 +353,10 @@ func VerifyProof(setup Setup, proof Proof, publicSignals []*big.Int, debug bool) // e(Vkx+piA+piC, g2KbetaKgamma) * e(g1KbetaKgamma, piB) // == e(piK, g2Kgamma) piApiC := Utils.Bn.G1.Add(Utils.Bn.G1.Add(vkxpia, proof.PiA), proof.PiC) - pairingPiACG2Kbg := Utils.Bn.Pairing(piApiC, setup.Vk.G2Kbg) - pairingG1KbgPiB := Utils.Bn.Pairing(setup.Vk.G1Kbg, proof.PiB) + pairingPiACG2Kbg := Utils.Bn.Pairing(piApiC, vk.G2Kbg) + pairingG1KbgPiB := Utils.Bn.Pairing(vk.G1Kbg, proof.PiB) pairingL := Utils.Bn.Fq12.Mul(pairingPiACG2Kbg, pairingG1KbgPiB) - pairingR := Utils.Bn.Pairing(proof.PiKp, setup.Vk.G2Kg) + pairingR := Utils.Bn.Pairing(proof.PiKp, vk.G2Kg) if !Utils.Bn.Fq12.Equal(pairingL, pairingR) { fmt.Println("❌ e(Vkx+piA+piC, g2KbetaKgamma) * e(g1KbetaKgamma, piB) == e(piK, g2Kgamma)") return false diff --git a/snark_test.go b/snark_test.go index 0263185..638b813 100644 --- a/snark_test.go +++ b/snark_test.go @@ -86,7 +86,7 @@ func TestGroth16MinimalFlow(t *testing.T) { // check length of polynomials H(x) and Z(x) assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1) - proof, err := groth16.GenerateProofs(*circuit, setup, w, px) + proof, err := groth16.GenerateProofs(*circuit, setup.Pk, w, px) assert.Nil(t, err) // fmt.Println("\n proofs:") @@ -98,13 +98,13 @@ func TestGroth16MinimalFlow(t *testing.T) { b35Verif := big.NewInt(int64(35)) publicSignalsVerif := []*big.Int{b35Verif} before := time.Now() - assert.True(t, groth16.VerifyProof(setup, proof, publicSignalsVerif, true)) + assert.True(t, groth16.VerifyProof(setup.Vk, proof, publicSignalsVerif, true)) fmt.Println("verify proof time elapsed:", time.Since(before)) // check that with another public input the verification returns false bOtherWrongPublic := big.NewInt(int64(34)) wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic} - assert.True(t, !groth16.VerifyProof(setup, proof, wrongPublicSignalsVerif, false)) + assert.True(t, !groth16.VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false)) } func TestZkFromFlatCircuitCode(t *testing.T) { @@ -221,7 +221,7 @@ func TestZkFromFlatCircuitCode(t *testing.T) { assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1) assert.Equal(t, len(hxQAP), len(px)-len(zxQAP)+1) - proof, err := GenerateProofs(*circuit, setup, w, px) + proof, err := GenerateProofs(*circuit, setup.Pk, w, px) assert.Nil(t, err) // fmt.Println("\n proofs:") @@ -233,13 +233,13 @@ func TestZkFromFlatCircuitCode(t *testing.T) { b35Verif := big.NewInt(int64(35)) publicSignalsVerif := []*big.Int{b35Verif} before := time.Now() - assert.True(t, VerifyProof(setup, proof, publicSignalsVerif, true)) + assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true)) fmt.Println("verify proof time elapsed:", time.Since(before)) // check that with another public input the verification returns false bOtherWrongPublic := big.NewInt(int64(34)) wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic} - assert.True(t, !VerifyProof(setup, proof, wrongPublicSignalsVerif, false)) + assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false)) } func TestZkMultiplication(t *testing.T) { @@ -329,7 +329,7 @@ func TestZkMultiplication(t *testing.T) { assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1) assert.Equal(t, len(hxQAP), len(px)-len(zxQAP)+1) - proof, err := GenerateProofs(*circuit, setup, w, px) + proof, err := GenerateProofs(*circuit, setup.Pk, w, px) assert.Nil(t, err) // fmt.Println("\n proofs:") @@ -341,13 +341,13 @@ func TestZkMultiplication(t *testing.T) { b12Verif := big.NewInt(int64(12)) publicSignalsVerif := []*big.Int{b12Verif} before := time.Now() - assert.True(t, VerifyProof(setup, proof, publicSignalsVerif, true)) + assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true)) fmt.Println("verify proof time elapsed:", time.Since(before)) // check that with another public input the verification returns false bOtherWrongPublic := big.NewInt(int64(11)) wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic} - assert.True(t, !VerifyProof(setup, proof, wrongPublicSignalsVerif, false)) + assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false)) } func TestMinimalFlow(t *testing.T) { @@ -418,7 +418,7 @@ func TestMinimalFlow(t *testing.T) { // check length of polynomials H(x) and Z(x) assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1) - proof, err := GenerateProofs(*circuit, setup, w, px) + proof, err := GenerateProofs(*circuit, setup.Pk, w, px) assert.Nil(t, err) // fmt.Println("\n proofs:") @@ -430,11 +430,11 @@ func TestMinimalFlow(t *testing.T) { b35Verif := big.NewInt(int64(35)) publicSignalsVerif := []*big.Int{b35Verif} before := time.Now() - assert.True(t, VerifyProof(setup, proof, publicSignalsVerif, true)) + assert.True(t, VerifyProof(setup.Vk, proof, publicSignalsVerif, true)) fmt.Println("verify proof time elapsed:", time.Since(before)) // check that with another public input the verification returns false bOtherWrongPublic := big.NewInt(int64(34)) wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic} - assert.True(t, !VerifyProof(setup, proof, wrongPublicSignalsVerif, false)) + assert.True(t, !VerifyProof(setup.Vk, proof, wrongPublicSignalsVerif, false)) } diff --git a/wasm/go-snark-wasm-wrapper.go b/wasm/go-snark-wasm-wrapper.go index 92b2f45..370fbe4 100644 --- a/wasm/go-snark-wasm-wrapper.go +++ b/wasm/go-snark-wasm-wrapper.go @@ -80,7 +80,7 @@ func generateProofs(this js.Value, i []js.Value) interface{} { } w, err := circuit.CalculateWitness(inputs.Private, inputs.Public) - proof, err := snark.GenerateProofs(circuit, setup, w, px) + proof, err := snark.GenerateProofs(circuit, setup.Pk, w, px) if err != nil { println("error generating proof", err) } @@ -123,7 +123,7 @@ func verifyProofs(this js.Value, i []js.Value) interface{} { println("error parsing publicInputs from stringified json") } - verified := snark.VerifyProof(setup, proof, publicInputs, false) + verified := snark.VerifyProof(setup.Vk, proof, publicInputs, false) if err != nil { println("error verifiyng proof", err) } @@ -190,7 +190,7 @@ func grothGenerateProofs(this js.Value, i []js.Value) interface{} { } w, err := circuit.CalculateWitness(inputs.Private, inputs.Public) - proof, err := groth16.GenerateProofs(circuit, setup, w, px) + proof, err := groth16.GenerateProofs(circuit, setup.Pk, w, px) if err != nil { println("error generating proof", err) } @@ -233,7 +233,7 @@ func grothVerifyProofs(this js.Value, i []js.Value) interface{} { println("error parsing publicInputs from stringified json") } - verified := groth16.VerifyProof(setup, proof, publicInputs, false) + verified := groth16.VerifyProof(setup.Vk, proof, publicInputs, false) if err != nil { println("error verifiyng proof", err) } diff --git a/wasm/go-snark.wasm b/wasm/go-snark.wasm index f2e4a19f76ec6a6a61f05f878ac567121a5d90c8..8a6c3b5f3b77eaa7fd3cd652b0c325b150845041 100755 GIT binary patch delta 350587 zcmagH2YilK|3B`WbB#M@iuKP|r&-eHGd%fJ}I(vQg`J9vE)9y2RevidRb|3Ra z)Z0xuz4h5UO}Y>Iuu0=@8aEm2to!BbA9d?F_~SvN+Kd_acJD!BhIFalq3+n%KL4`Y zTLXuG{mF+t8gw7?PMd~NJ?jpAeaMHeebV#ex5l>X-RqsMoko5+YV5Z0`62vKd`kZc 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[][3]string - Bp [][3]string - Cp [][3]string - Z []string + Pk struct { + G1T [][3]string + A [][3]string + B [][3][2]string + C [][3]string + Kp [][3]string + Ap [][3]string + Bp [][3]string + Cp [][3]string + Z []string } Vk struct { Vka [3][2]string @@ -160,8 +159,7 @@ type SetupString struct { func SetupToString(setup snark.Setup) SetupString { var s SetupString - s.G1T = Array3BigIntToString(setup.G1T) - s.G2T = Array32BigIntToString(setup.G2T) + s.Pk.G1T = Array3BigIntToString(setup.Pk.G1T) s.Pk.A = Array3BigIntToString(setup.Pk.A) s.Pk.B = Array32BigIntToString(setup.Pk.B) s.Pk.C = Array3BigIntToString(setup.Pk.C) @@ -183,11 +181,7 @@ func SetupToString(setup snark.Setup) SetupString { func SetupFromString(s SetupString) (snark.Setup, error) { var o snark.Setup var err error - o.G1T, err = Array3StringToBigInt(s.G1T) - if err != nil { - return o, err - } - o.G2T, err = Array32StringToBigInt(s.G2T) + o.Pk.G1T, err = Array3StringToBigInt(s.Pk.G1T) if err != nil { return o, err }