package plonky2_verifier import ( . "gnark-plonky2-verifier/field" "gnark-plonky2-verifier/poseidon" ) type PoseidonGate struct { } func NewPoseidonGate() *PoseidonGate { return &PoseidonGate{} } func (g *PoseidonGate) Id() string { return "PoseidonGate" } func (g *PoseidonGate) WireInput(i uint64) uint64 { return i } func (g *PoseidonGate) WireOutput(i uint64) uint64 { return poseidon.SPONGE_WIDTH + i } func (g *PoseidonGate) WireSwap() uint64 { return 2 * poseidon.SPONGE_WIDTH } const START_DELTA = 2*poseidon.SPONGE_WIDTH + 1 func (g *PoseidonGate) WireDelta(i uint64) uint64 { if i >= 4 { panic("Delta index out of range") } return START_DELTA + i } const START_FULL_0 = START_DELTA + 4 func (g *PoseidonGate) WireFullSBox0(round uint64, i uint64) uint64 { if round == 0 { panic("First-round S-box inputs are not stored as wires") } if round >= poseidon.HALF_N_FULL_ROUNDS { panic("S-box input round out of range") } if i >= poseidon.SPONGE_WIDTH { panic("S-box input index out of range") } return START_FULL_0 + (round-1)*poseidon.SPONGE_WIDTH + i } const START_PARTIAL = START_FULL_0 + (poseidon.HALF_N_FULL_ROUNDS-1)*poseidon.SPONGE_WIDTH func (g *PoseidonGate) WirePartialSBox(round uint64) uint64 { if round >= poseidon.N_PARTIAL_ROUNDS { panic("S-box input round out of range") } return START_PARTIAL + round } const START_FULL_1 = START_PARTIAL + poseidon.N_PARTIAL_ROUNDS func (g *PoseidonGate) WireFullSBox1(round uint64, i uint64) uint64 { if round >= poseidon.HALF_N_FULL_ROUNDS { panic("S-box input round out of range") } if i >= poseidon.SPONGE_WIDTH { panic("S-box input index out of range") } return START_FULL_1 + round*poseidon.SPONGE_WIDTH + i } func (g *PoseidonGate) WiresEnd() uint64 { return START_FULL_1 + poseidon.HALF_N_FULL_ROUNDS*poseidon.SPONGE_WIDTH } func (g *PoseidonGate) EvalUnfiltered(p *PlonkChip, vars EvaluationVars) []QuadraticExtension { constraints := []QuadraticExtension{} poseidonChip := poseidon.NewPoseidonChip(p.api, NewFieldAPI(p.api), p.qeAPI) // Assert that `swap` is binary. swap := vars.localWires[g.WireSwap()] notSwap := p.qeAPI.SubExtension(p.qeAPI.FieldToQE(ONE_F), swap) constraints = append(constraints, p.qeAPI.MulExtension(swap, notSwap)) // Assert that each delta wire is set properly: `delta_i = swap * (rhs - lhs)`. for i := uint64(0); i < 4; i++ { inputLhs := vars.localWires[g.WireInput(i)] inputRhs := vars.localWires[g.WireInput(i+4)] deltaI := vars.localWires[g.WireDelta(i)] diff := p.qeAPI.SubExtension(inputRhs, inputLhs) expectedDeltaI := p.qeAPI.MulExtension(swap, diff) constraints = append(constraints, p.qeAPI.SubExtension(expectedDeltaI, deltaI)) } // Compute the possibly-swapped input layer. var state [poseidon.SPONGE_WIDTH]QuadraticExtension for i := uint64(0); i < 4; i++ { deltaI := vars.localWires[g.WireDelta(i)] inputLhs := vars.localWires[g.WireInput(i)] inputRhs := vars.localWires[g.WireInput(i+4)] state[i] = p.qeAPI.AddExtension(inputLhs, deltaI) state[i+4] = p.qeAPI.SubExtension(inputRhs, deltaI) } for i := uint64(8); i < poseidon.SPONGE_WIDTH; i++ { state[i] = vars.localWires[g.WireInput(i)] } roundCounter := 0 // First set of full rounds. for r := uint64(0); r < poseidon.HALF_N_FULL_ROUNDS; r++ { state = poseidonChip.ConstantLayerExtension(state, &roundCounter) if r != 0 { for i := uint64(0); i < poseidon.SPONGE_WIDTH; i++ { sBoxIn := vars.localWires[g.WireFullSBox0(r, i)] constraints = append(constraints, p.qeAPI.SubExtension(state[i], sBoxIn)) state[i] = sBoxIn } } state = poseidonChip.SBoxLayerExtension(state) state = poseidonChip.MdsLayerExtension(state) roundCounter++ } // Partial rounds. state = poseidonChip.PartialFirstConstantLayerExtension(state) state = poseidonChip.MdsPartialLayerInitExtension(state) for r := uint64(0); r < poseidon.N_PARTIAL_ROUNDS-1; r++ { sBoxIn := vars.localWires[g.WirePartialSBox(r)] constraints = append(constraints, p.qeAPI.SubExtension(state[0], sBoxIn)) state[0] = poseidonChip.SBoxMonomialExtension(sBoxIn) state[0] = p.qeAPI.AddExtension(state[0], p.qeAPI.FieldToQE(NewFieldElement(poseidon.FAST_PARTIAL_ROUND_CONSTANTS[r]))) state = poseidonChip.MdsPartialLayerFastExtension(state, int(r)) } sBoxIn := vars.localWires[g.WirePartialSBox(poseidon.N_PARTIAL_ROUNDS-1)] constraints = append(constraints, p.qeAPI.SubExtension(state[0], sBoxIn)) state[0] = poseidonChip.SBoxMonomialExtension(sBoxIn) state = poseidonChip.MdsPartialLayerFastExtension(state, poseidon.N_PARTIAL_ROUNDS-1) roundCounter += poseidon.N_PARTIAL_ROUNDS // Second set of full rounds. for r := uint64(0); r < poseidon.HALF_N_FULL_ROUNDS; r++ { poseidonChip.ConstantLayerExtension(state, &roundCounter) for i := uint64(0); i < poseidon.SPONGE_WIDTH; i++ { sBoxIn := vars.localWires[g.WireFullSBox1(r, i)] constraints = append(constraints, p.qeAPI.SubExtension(state[i], sBoxIn)) state[i] = sBoxIn } state = poseidonChip.MdsLayerExtension(state) state = poseidonChip.SBoxLayerExtension(state) roundCounter++ } for i := uint64(0); i < poseidon.SPONGE_WIDTH; i++ { constraints = append(constraints, p.qeAPI.SubExtension(state[i], vars.localWires[g.WireOutput(i)])) } return constraints }