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@ -1,36 +1,31 @@ |
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//! There are two Verification Circuits. Each of them is over a Pasta curve but
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//! only one of them executes the next step of the computation by applying the inner function F.
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//! There are also two running relaxed r1cs instances.
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//!
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//! When we build a circuit we denote u1 the running relaxed r1cs instance of
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//! the circuit and u2 the running relaxed r1cs instance of the other circuit.
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//! The circuit takes as input two hashes h1 and h2.
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//! If the circuit applies the inner function F, then
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//! h1 = H(params = H(shape, gens), u2, i, z0, zi) and h2 = H(u1, i)
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//! otherwise
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//! h1 = H(u2, i) and h2 = H(params = H(shape, gens), u1, i, z0, zi)
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//! There are two Verification Circuits. The primary and the secondary.
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//! Each of them is over a Pasta curve but
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//! only the primary executes the next step of the computation.
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//! TODO: The base case is different for the primary and the secondary.
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//! We have two running instances. Each circuit takes as input 2 hashes: one for each
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//! of the running instances. Each of these hashes is
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//! H(params = H(shape, gens), i, z0, zi, U). Each circuit folds the last invocation of
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//! the other into the running instance
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use super::{
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use super::{
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commitments::Commitment,
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commitments::Commitment,
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gadgets::{
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gadgets::{
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ecc::AllocatedPoint,
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ecc::AllocatedPoint,
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utils::{
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alloc_bignat_constant, alloc_num_equals, alloc_one, alloc_zero, conditionally_select,
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conditionally_select_bignat, le_bits_to_num,
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},
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r1cs::{AllocatedR1CSInstance, AllocatedRelaxedR1CSInstance},
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utils::{alloc_num_equals, alloc_zero, conditionally_select, le_bits_to_num},
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},
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},
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poseidon::{NovaPoseidonConstants, PoseidonROGadget},
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poseidon::{NovaPoseidonConstants, PoseidonROGadget},
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r1cs::RelaxedR1CSInstance,
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r1cs::{R1CSInstance, RelaxedR1CSInstance},
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traits::{Group, StepCircuit},
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traits::{Group, StepCircuit},
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};
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};
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use bellperson::{
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use bellperson::{
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gadgets::{boolean::Boolean, num::AllocatedNum, Assignment},
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gadgets::{
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boolean::{AllocatedBit, Boolean},
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num::AllocatedNum,
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Assignment,
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},
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Circuit, ConstraintSystem, SynthesisError,
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Circuit, ConstraintSystem, SynthesisError,
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};
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};
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use bellperson_nonnative::{
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mp::bignat::BigNat,
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util::{convert::f_to_nat, num::Num},
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};
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use ff::{Field, PrimeField, PrimeFieldBits};
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use ff::{Field, PrimeField, PrimeFieldBits};
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#[derive(Debug, Clone)]
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#[derive(Debug, Clone)]
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@ -53,15 +48,13 @@ pub struct NIFSVerifierCircuitInputs |
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where
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where
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G: Group,
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G: Group,
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{
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{
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h1: G::Base,
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h2: G::Base,
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u2: RelaxedR1CSInstance<G>,
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params: G::Base, // Hash(Shape of u2, Gens for u2). Needed for computing the challenge.
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i: G::Base,
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i: G::Base,
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z0: G::Base,
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z0: G::Base,
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zi: G::Base,
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zi: G::Base,
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params: G::Base, // Hash(Shape of u2, Gens for u2). Needed for computing the challenge.
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U: RelaxedR1CSInstance<G>,
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u: R1CSInstance<G>,
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T: Commitment<G>,
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T: Commitment<G>,
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w: Commitment<G>, // The commitment to the witness of the fresh r1cs instance
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}
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}
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impl<G> NIFSVerifierCircuitInputs<G>
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impl<G> NIFSVerifierCircuitInputs<G>
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@ -71,26 +64,22 @@ where |
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/// Create new inputs/witness for the verification circuit
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/// Create new inputs/witness for the verification circuit
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#[allow(dead_code, clippy::too_many_arguments)]
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#[allow(dead_code, clippy::too_many_arguments)]
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pub fn new(
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pub fn new(
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h1: G::Base,
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u2: RelaxedR1CSInstance<G>,
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params: G::Base,
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i: G::Base,
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i: G::Base,
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z0: G::Base,
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z0: G::Base,
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zi: G::Base,
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zi: G::Base,
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h2: G::Base,
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params: G::Base,
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U: RelaxedR1CSInstance<G>,
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u: R1CSInstance<G>,
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T: Commitment<G>,
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T: Commitment<G>,
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w: Commitment<G>,
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) -> Self {
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) -> Self {
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Self {
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Self {
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h1,
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u2,
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params,
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i,
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i,
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z0,
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z0,
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zi,
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zi,
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h2,
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params,
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U,
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u,
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T,
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T,
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w,
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}
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}
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}
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}
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}
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}
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@ -111,7 +100,8 @@ where |
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impl<G, SC> NIFSVerifierCircuit<G, SC>
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impl<G, SC> NIFSVerifierCircuit<G, SC>
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where
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where
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G: Group,
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G: Group,
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<G as Group>::Base: ff::PrimeField,
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<G as Group>::Base: PrimeField + PrimeFieldBits,
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<G as Group>::Scalar: PrimeField + PrimeFieldBits,
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SC: StepCircuit<G::Base>,
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SC: StepCircuit<G::Base>,
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{
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{
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/// Create a new verification circuit for the input relaxed r1cs instances
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/// Create a new verification circuit for the input relaxed r1cs instances
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@ -132,133 +122,56 @@ where |
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poseidon_constants,
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poseidon_constants,
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}
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}
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}
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}
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}
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impl<G, SC> Circuit<<G as Group>::Base> for NIFSVerifierCircuit<G, SC>
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where
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G: Group,
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<G as Group>::Base: PrimeField + PrimeFieldBits,
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<G as Group>::Scalar: PrimeFieldBits,
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SC: StepCircuit<G::Base>,
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{
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fn synthesize<CS: ConstraintSystem<<G as Group>::Base>>(
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self,
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cs: &mut CS,
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) -> Result<(), SynthesisError> {
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/***********************************************************************/
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// Allocate h1
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/***********************************************************************/
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let h1 = AllocatedNum::alloc(cs.namespace(|| "allocate h1"), || Ok(self.inputs.get()?.h1))?;
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let h1_bn = BigNat::from_num(
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cs.namespace(|| "allocate h1_bn"),
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Num::from(h1.clone()),
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self.params.limb_width,
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self.params.n_limbs,
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)?;
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/***********************************************************************/
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// This circuit does not modify h2 but it outputs it.
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// Allocate it and output it.
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/***********************************************************************/
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/// Allocate all witnesses and return
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fn alloc_witness<CS: ConstraintSystem<<G as Group>::Base>>(
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&self,
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mut cs: CS,
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) -> Result<
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(
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AllocatedNum<G::Base>,
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AllocatedNum<G::Base>,
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AllocatedNum<G::Base>,
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AllocatedNum<G::Base>,
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AllocatedRelaxedR1CSInstance<G>,
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AllocatedR1CSInstance<G>,
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AllocatedPoint<G::Base>,
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),
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SynthesisError,
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> {
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// Allocate the params
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let params = AllocatedNum::alloc(cs.namespace(|| "params"), || Ok(self.inputs.get()?.params))?;
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// Allocate h2 as a big number with 8 limbs
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let h2 = AllocatedNum::alloc(cs.namespace(|| "allocate h2"), || Ok(self.inputs.get()?.h2))?;
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let h2_bn = BigNat::from_num(
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cs.namespace(|| "allocate h2_bn"),
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Num::from(h2.clone()),
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self.params.limb_width,
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self.params.n_limbs,
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)?;
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// Allocate i
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let i = AllocatedNum::alloc(cs.namespace(|| "i"), || Ok(self.inputs.get()?.i))?;
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let _ = h2.inputize(cs.namespace(|| "Output 1"))?;
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// Allocate z0
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let z_0 = AllocatedNum::alloc(cs.namespace(|| "z0"), || Ok(self.inputs.get()?.z0))?;
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/***********************************************************************/
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// Allocate u2 by allocating W_r, E_r, u_r, X_r
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/***********************************************************************/
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// Allocate zi
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let z_i = AllocatedNum::alloc(cs.namespace(|| "zi"), || Ok(self.inputs.get()?.zi))?;
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// W_r = (x, y, infinity)
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let W_r = AllocatedPoint::alloc(
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cs.namespace(|| "allocate W_r"),
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// Allocate the running instance
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let U: AllocatedRelaxedR1CSInstance<G> = AllocatedRelaxedR1CSInstance::alloc(
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cs.namespace(|| "Allocate U"),
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self
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self
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.inputs
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.inputs
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.get()
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.get()
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.map_or(None, |inputs| Some(inputs.u2.comm_W.comm.to_coordinates())),
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.map_or(None, |inputs| Some(inputs.U.clone())),
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self.params.limb_width,
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self.params.n_limbs,
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)?;
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)?;
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// E_r = (x, y, infinity)
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let E_r = AllocatedPoint::alloc(
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cs.namespace(|| "allocate E_r"),
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// Allocate the instance to be folded in
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let u = AllocatedR1CSInstance::alloc(
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cs.namespace(|| "allocate instance u to fold"),
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self
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self
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.inputs
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.inputs
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.get()
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.get()
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.map_or(None, |inputs| Some(inputs.u2.comm_E.comm.to_coordinates())),
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.map_or(None, |inputs| Some(inputs.u.clone())),
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)?;
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)?;
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// u_r << |G::Base| despite the fact that u_r is a scalar.
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// So we parse all of its bytes as a G::Base element
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let u_r = AllocatedNum::alloc(cs.namespace(|| "u_r"), || {
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let u_bits = self.inputs.get()?.u2.u.to_le_bits();
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let mut mult = G::Base::one();
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let mut u = G::Base::zero();
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for bit in u_bits {
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if bit {
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u += mult;
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}
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mult = mult + mult;
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}
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Ok(u)
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})?;
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// The running X is two items! the running h1 and the running h2
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let Xr0 = BigNat::alloc_from_nat(
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cs.namespace(|| "allocate X_r[0]"),
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|| Ok(f_to_nat(&self.inputs.get()?.u2.X[0])),
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self.params.limb_width,
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self.params.n_limbs,
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)?;
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// Analyze Xr0 as limbs to use later
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let Xr0_bn = Xr0
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.as_limbs::<CS>()
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.iter()
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.enumerate()
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.map(|(i, limb)| {
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limb
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.as_sapling_allocated_num(cs.namespace(|| format!("convert limb {} of X_r[0] to num", i)))
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})
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.collect::<Result<Vec<AllocatedNum<G::Base>>, _>>()?;
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let Xr1 = BigNat::alloc_from_nat(
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cs.namespace(|| "allocate X_r[1]"),
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|| Ok(f_to_nat(&self.inputs.get()?.u2.X[1])),
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self.params.limb_width,
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self.params.n_limbs,
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)?;
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// Analyze Xr1 as limbs to use later
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let Xr1_bn = Xr1
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.as_limbs::<CS>()
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.iter()
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.enumerate()
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.map(|(i, limb)| {
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limb
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.as_sapling_allocated_num(cs.namespace(|| format!("convert limb {} of X_r[1] to num", i)))
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})
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.collect::<Result<Vec<AllocatedNum<G::Base>>, _>>()?;
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/***********************************************************************/
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|
|
// Allocate i
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
let i = AllocatedNum::alloc(cs.namespace(|| "i"), || Ok(self.inputs.get()?.i))?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Allocate T
|
|
|
// Allocate T
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
// T = (x, y, infinity)
|
|
|
|
|
|
|
|
|
|
|
|
let T = AllocatedPoint::alloc(
|
|
|
let T = AllocatedPoint::alloc(
|
|
|
cs.namespace(|| "allocate T"),
|
|
|
cs.namespace(|| "allocate T"),
|
|
|
self
|
|
|
self
|
|
@ -267,200 +180,125 @@ where |
|
|
.map_or(None, |inputs| Some(inputs.T.comm.to_coordinates())),
|
|
|
.map_or(None, |inputs| Some(inputs.T.comm.to_coordinates())),
|
|
|
)?;
|
|
|
)?;
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Allocate params
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
let params = AllocatedNum::alloc(cs.namespace(|| "params"), || Ok(self.inputs.get()?.params))?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Allocate W
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
// W = (x, y, infinity)
|
|
|
|
|
|
let W = AllocatedPoint::alloc(
|
|
|
|
|
|
cs.namespace(|| "allocate W"),
|
|
|
|
|
|
self
|
|
|
|
|
|
.inputs
|
|
|
|
|
|
.get()
|
|
|
|
|
|
.map_or(None, |inputs| Some(inputs.w.comm.to_coordinates())),
|
|
|
|
|
|
)?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// U2' = default if i == 0, otherwise NIFS.V(pp, u_new, U, T)
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
// Allocate 0 and 1
|
|
|
|
|
|
let zero = alloc_zero(cs.namespace(|| "zero"))?;
|
|
|
|
|
|
let one = alloc_one(cs.namespace(|| "one"))?;
|
|
|
|
|
|
|
|
|
|
|
|
// Compute default values of U2':
|
|
|
|
|
|
// W_default and E_default are a commitment to zero
|
|
|
|
|
|
let W_default = AllocatedPoint::new(zero.clone(), zero.clone(), one);
|
|
|
|
|
|
let E_default = W_default.clone();
|
|
|
|
|
|
|
|
|
|
|
|
// u_default = 0
|
|
|
|
|
|
let u_default = zero.clone();
|
|
|
|
|
|
|
|
|
|
|
|
// X_default = 0
|
|
|
|
|
|
let X0_default = BigNat::alloc_from_nat(
|
|
|
|
|
|
cs.namespace(|| "allocate x_default[0]"),
|
|
|
|
|
|
|| Ok(f_to_nat(&G::Scalar::zero())),
|
|
|
|
|
|
self.params.limb_width,
|
|
|
|
|
|
self.params.n_limbs,
|
|
|
|
|
|
)?;
|
|
|
|
|
|
|
|
|
Ok((params, i, z_0, z_i, U, u, T))
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
let X1_default = BigNat::alloc_from_nat(
|
|
|
|
|
|
cs.namespace(|| "allocate x_default[1]"),
|
|
|
|
|
|
|| Ok(f_to_nat(&G::Scalar::zero())),
|
|
|
|
|
|
|
|
|
/// Synthesizes base case and returns the new relaxed R1CSInstance
|
|
|
|
|
|
fn synthesize_base_case<CS: ConstraintSystem<<G as Group>::Base>>(
|
|
|
|
|
|
&self,
|
|
|
|
|
|
mut cs: CS,
|
|
|
|
|
|
) -> Result<AllocatedRelaxedR1CSInstance<G>, SynthesisError> {
|
|
|
|
|
|
let U_default: AllocatedRelaxedR1CSInstance<G> = AllocatedRelaxedR1CSInstance::default(
|
|
|
|
|
|
cs.namespace(|| "Allocate U_default"),
|
|
|
self.params.limb_width,
|
|
|
self.params.limb_width,
|
|
|
self.params.n_limbs,
|
|
|
self.params.n_limbs,
|
|
|
)?;
|
|
|
)?;
|
|
|
|
|
|
Ok(U_default)
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
// Compute r:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/// Synthesizes non base case and returns the new relaxed R1CSInstance
|
|
|
|
|
|
/// And a boolean indicating if all checks pass
|
|
|
|
|
|
#[allow(clippy::too_many_arguments)]
|
|
|
|
|
|
fn synthesize_non_base_case<CS: ConstraintSystem<<G as Group>::Base>>(
|
|
|
|
|
|
&self,
|
|
|
|
|
|
mut cs: CS,
|
|
|
|
|
|
params: AllocatedNum<G::Base>,
|
|
|
|
|
|
i: AllocatedNum<G::Base>,
|
|
|
|
|
|
z_0: AllocatedNum<G::Base>,
|
|
|
|
|
|
z_i: AllocatedNum<G::Base>,
|
|
|
|
|
|
U: AllocatedRelaxedR1CSInstance<G>,
|
|
|
|
|
|
u: AllocatedR1CSInstance<G>,
|
|
|
|
|
|
T: AllocatedPoint<G::Base>,
|
|
|
|
|
|
) -> Result<(AllocatedRelaxedR1CSInstance<G>, AllocatedBit), SynthesisError> {
|
|
|
|
|
|
// Check that u.x[0] = Hash(params, U,i,z0,zi)
|
|
|
let mut ro: PoseidonROGadget<G::Base> = PoseidonROGadget::new(self.poseidon_constants.clone());
|
|
|
let mut ro: PoseidonROGadget<G::Base> = PoseidonROGadget::new(self.poseidon_constants.clone());
|
|
|
|
|
|
ro.absorb(params);
|
|
|
|
|
|
ro.absorb(i);
|
|
|
|
|
|
ro.absorb(z_0);
|
|
|
|
|
|
ro.absorb(z_i);
|
|
|
|
|
|
let _ = U.absorb_in_ro(cs.namespace(|| "absorb U"), &mut ro)?;
|
|
|
|
|
|
|
|
|
ro.absorb(h1.clone());
|
|
|
|
|
|
ro.absorb(h2);
|
|
|
|
|
|
ro.absorb(W.x.clone());
|
|
|
|
|
|
ro.absorb(W.y.clone());
|
|
|
|
|
|
ro.absorb(W.is_infinity.clone());
|
|
|
|
|
|
ro.absorb(T.x.clone());
|
|
|
|
|
|
ro.absorb(T.y.clone());
|
|
|
|
|
|
ro.absorb(T.is_infinity.clone());
|
|
|
|
|
|
// absorb each of the limbs of X_r[0]
|
|
|
|
|
|
for limb in Xr0_bn.clone().into_iter() {
|
|
|
|
|
|
ro.absorb(limb);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
// absorb each of the limbs of X_r[1]
|
|
|
|
|
|
for limb in Xr1_bn.clone().into_iter() {
|
|
|
|
|
|
ro.absorb(limb);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
let r_bits = ro.get_challenge(cs.namespace(|| "r bits"))?;
|
|
|
|
|
|
let r = le_bits_to_num(cs.namespace(|| "r"), r_bits.clone())?;
|
|
|
|
|
|
|
|
|
|
|
|
// W_fold = W_r + r * W
|
|
|
|
|
|
let rW = W.scalar_mul(cs.namespace(|| "r * W"), r_bits.clone())?;
|
|
|
|
|
|
let W_fold = W_r.add(cs.namespace(|| "W_r + r * W"), &rW)?;
|
|
|
|
|
|
|
|
|
|
|
|
// E_fold = E_r + r * T
|
|
|
|
|
|
let rT = T.scalar_mul(cs.namespace(|| "r * T"), r_bits)?;
|
|
|
|
|
|
let E_fold = E_r.add(cs.namespace(|| "E_r + r * T"), &rT)?;
|
|
|
|
|
|
|
|
|
|
|
|
// u_fold = u_r + r
|
|
|
|
|
|
let u_fold = AllocatedNum::alloc(cs.namespace(|| "u_fold"), || {
|
|
|
|
|
|
Ok(*u_r.get_value().get()? + r.get_value().get()?)
|
|
|
|
|
|
})?;
|
|
|
|
|
|
cs.enforce(
|
|
|
|
|
|
|| "Check u_fold",
|
|
|
|
|
|
|lc| lc,
|
|
|
|
|
|
|lc| lc,
|
|
|
|
|
|
|lc| lc + u_fold.get_variable() - u_r.get_variable() - r.get_variable(),
|
|
|
|
|
|
);
|
|
|
|
|
|
|
|
|
|
|
|
// Fold the IO:
|
|
|
|
|
|
// Analyze r into limbs
|
|
|
|
|
|
let r_bn = BigNat::from_num(
|
|
|
|
|
|
cs.namespace(|| "allocate r_bn"),
|
|
|
|
|
|
Num::from(r.clone()),
|
|
|
|
|
|
self.params.limb_width,
|
|
|
|
|
|
self.params.n_limbs,
|
|
|
|
|
|
|
|
|
let hash_bits = ro.get_hash(cs.namespace(|| "Input hash"))?;
|
|
|
|
|
|
let hash = le_bits_to_num(cs.namespace(|| "bits to hash"), hash_bits)?;
|
|
|
|
|
|
let check_pass = alloc_num_equals(
|
|
|
|
|
|
cs.namespace(|| "check consistency of u.X[0] with H(params, U, i, z0, zi)"),
|
|
|
|
|
|
u.X0.clone(),
|
|
|
|
|
|
hash,
|
|
|
)?;
|
|
|
)?;
|
|
|
|
|
|
|
|
|
// Allocate the order of the non-native field as a constant
|
|
|
|
|
|
let m_bn = alloc_bignat_constant(
|
|
|
|
|
|
cs.namespace(|| "alloc m"),
|
|
|
|
|
|
&G::get_order(),
|
|
|
|
|
|
|
|
|
// Run NIFS Verifier
|
|
|
|
|
|
let U_fold = U.fold_with_r1cs(
|
|
|
|
|
|
cs.namespace(|| "compute fold of U and u"),
|
|
|
|
|
|
u,
|
|
|
|
|
|
T,
|
|
|
|
|
|
self.poseidon_constants.clone(),
|
|
|
self.params.limb_width,
|
|
|
self.params.limb_width,
|
|
|
self.params.n_limbs,
|
|
|
self.params.n_limbs,
|
|
|
)?;
|
|
|
)?;
|
|
|
|
|
|
|
|
|
// First the fold h1 with X_r[0];
|
|
|
|
|
|
let (_, r_0) = h1_bn.mult_mod(cs.namespace(|| "r*h1"), &r_bn, &m_bn)?;
|
|
|
|
|
|
// add X_r[0]
|
|
|
|
|
|
let r_new_0 = Xr0.add::<CS>(&r_0)?;
|
|
|
|
|
|
// Now reduce
|
|
|
|
|
|
let Xr0_fold = r_new_0.red_mod(cs.namespace(|| "reduce folded X_r[0]"), &m_bn)?;
|
|
|
|
|
|
|
|
|
|
|
|
// First the fold h2 with X_r[1];
|
|
|
|
|
|
let (_, r_1) = h2_bn.mult_mod(cs.namespace(|| "r*h2"), &r_bn, &m_bn)?;
|
|
|
|
|
|
// add X_r[1]
|
|
|
|
|
|
let r_new_1 = Xr1.add::<CS>(&r_1)?;
|
|
|
|
|
|
// Now reduce
|
|
|
|
|
|
let Xr1_fold = r_new_1.red_mod(cs.namespace(|| "reduce folded X_r[1]"), &m_bn)?;
|
|
|
|
|
|
|
|
|
|
|
|
// Now select the default values if i == 0 otherwise the fold values
|
|
|
|
|
|
let is_base_case = Boolean::from(alloc_num_equals(
|
|
|
|
|
|
cs.namespace(|| "Check if base case"),
|
|
|
|
|
|
i.clone(),
|
|
|
|
|
|
zero,
|
|
|
|
|
|
)?);
|
|
|
|
|
|
|
|
|
Ok((U_fold, check_pass))
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
let W_new = AllocatedPoint::conditionally_select(
|
|
|
|
|
|
cs.namespace(|| "W_new"),
|
|
|
|
|
|
&W_default,
|
|
|
|
|
|
&W_fold,
|
|
|
|
|
|
&is_base_case,
|
|
|
|
|
|
)?;
|
|
|
|
|
|
|
|
|
impl<G, SC> Circuit<<G as Group>::Base> for NIFSVerifierCircuit<G, SC>
|
|
|
|
|
|
where
|
|
|
|
|
|
G: Group,
|
|
|
|
|
|
<G as Group>::Base: PrimeField + PrimeFieldBits,
|
|
|
|
|
|
<G as Group>::Scalar: PrimeFieldBits,
|
|
|
|
|
|
SC: StepCircuit<G::Base>,
|
|
|
|
|
|
{
|
|
|
|
|
|
fn synthesize<CS: ConstraintSystem<<G as Group>::Base>>(
|
|
|
|
|
|
self,
|
|
|
|
|
|
cs: &mut CS,
|
|
|
|
|
|
) -> Result<(), SynthesisError> {
|
|
|
|
|
|
// Allocate all witnesses
|
|
|
|
|
|
let (params, i, z_0, z_i, U, u, T) =
|
|
|
|
|
|
self.alloc_witness(cs.namespace(|| "allocate the circuit witness"))?;
|
|
|
|
|
|
|
|
|
let E_new = AllocatedPoint::conditionally_select(
|
|
|
|
|
|
cs.namespace(|| "E_new"),
|
|
|
|
|
|
&E_default,
|
|
|
|
|
|
&E_fold,
|
|
|
|
|
|
&is_base_case,
|
|
|
|
|
|
)?;
|
|
|
|
|
|
|
|
|
// Compute variable indicating if this is the base case
|
|
|
|
|
|
let zero = alloc_zero(cs.namespace(|| "zero"))?;
|
|
|
|
|
|
let is_base_case = alloc_num_equals(cs.namespace(|| "Check if base case"), i.clone(), zero)?; //TODO: maybe optimize this?
|
|
|
|
|
|
|
|
|
let u_new = conditionally_select(cs.namespace(|| "u_new"), &u_default, &u_fold, &is_base_case)?;
|
|
|
|
|
|
|
|
|
// Synthesize the circuit for the base case and get the new running instance
|
|
|
|
|
|
let Unew_base = self.synthesize_base_case(cs.namespace(|| "base case"))?;
|
|
|
|
|
|
|
|
|
let Xr0_new = conditionally_select_bignat(
|
|
|
|
|
|
cs.namespace(|| "X_r_new[0]"),
|
|
|
|
|
|
&X0_default,
|
|
|
|
|
|
&Xr0_fold,
|
|
|
|
|
|
&is_base_case,
|
|
|
|
|
|
|
|
|
// Synthesize the circuit for the non-base case and get the new running
|
|
|
|
|
|
// instance along with a boolean indicating if all checks have passed
|
|
|
|
|
|
let (Unew_non_base, check_non_base_pass) = self.synthesize_non_base_case(
|
|
|
|
|
|
cs.namespace(|| "synthesize non base case"),
|
|
|
|
|
|
params.clone(),
|
|
|
|
|
|
i.clone(),
|
|
|
|
|
|
z_0.clone(),
|
|
|
|
|
|
z_i.clone(),
|
|
|
|
|
|
U,
|
|
|
|
|
|
u.clone(),
|
|
|
|
|
|
T,
|
|
|
)?;
|
|
|
)?;
|
|
|
|
|
|
|
|
|
// Analyze Xr0_new as limbs to use later
|
|
|
|
|
|
let Xr0_new_bn = Xr0_new
|
|
|
|
|
|
.as_limbs::<CS>()
|
|
|
|
|
|
.iter()
|
|
|
|
|
|
.enumerate()
|
|
|
|
|
|
.map(|(i, limb)| {
|
|
|
|
|
|
limb.as_sapling_allocated_num(
|
|
|
|
|
|
cs.namespace(|| format!("convert limb {} of X_r_new[0] to num", i)),
|
|
|
|
|
|
)
|
|
|
|
|
|
})
|
|
|
|
|
|
.collect::<Result<Vec<AllocatedNum<G::Base>>, _>>()?;
|
|
|
|
|
|
|
|
|
|
|
|
let Xr1_new = conditionally_select_bignat(
|
|
|
|
|
|
cs.namespace(|| "X_r_new[1]"),
|
|
|
|
|
|
&X1_default,
|
|
|
|
|
|
&Xr1_fold,
|
|
|
|
|
|
|
|
|
// Either check_non_base_pass=true or we are in the base case
|
|
|
|
|
|
let should_be_false = AllocatedBit::nor(
|
|
|
|
|
|
cs.namespace(|| "check_non_base_pass nor base_case"),
|
|
|
|
|
|
&check_non_base_pass,
|
|
|
&is_base_case,
|
|
|
&is_base_case,
|
|
|
)?;
|
|
|
)?;
|
|
|
|
|
|
cs.enforce(
|
|
|
|
|
|
|| "check_non_base_pass nor base_case = false",
|
|
|
|
|
|
|lc| lc + should_be_false.get_variable(),
|
|
|
|
|
|
|lc| lc + CS::one(),
|
|
|
|
|
|
|lc| lc,
|
|
|
|
|
|
);
|
|
|
|
|
|
|
|
|
// Analyze Xr1_new as limbs to use later
|
|
|
|
|
|
let Xr1_new_bn = Xr1_new
|
|
|
|
|
|
.as_limbs::<CS>()
|
|
|
|
|
|
.iter()
|
|
|
|
|
|
.enumerate()
|
|
|
|
|
|
.map(|(i, limb)| {
|
|
|
|
|
|
limb.as_sapling_allocated_num(
|
|
|
|
|
|
cs.namespace(|| format!("convert limb {} of X_r_new[1] to num", i)),
|
|
|
|
|
|
)
|
|
|
|
|
|
})
|
|
|
|
|
|
.collect::<Result<Vec<AllocatedNum<G::Base>>, _>>()?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Compute i + 1
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
// Compute the U_new
|
|
|
|
|
|
let Unew = Unew_base.conditionally_select(
|
|
|
|
|
|
cs.namespace(|| "compute U_new"),
|
|
|
|
|
|
Unew_non_base,
|
|
|
|
|
|
&Boolean::from(is_base_case.clone()),
|
|
|
|
|
|
)?;
|
|
|
|
|
|
|
|
|
|
|
|
// Compute i + 1
|
|
|
let i_new = AllocatedNum::alloc(cs.namespace(|| "i + 1"), || {
|
|
|
let i_new = AllocatedNum::alloc(cs.namespace(|| "i + 1"), || {
|
|
|
Ok(*i.get_value().get()? + G::Base::one())
|
|
|
Ok(*i.get_value().get()? + G::Base::one())
|
|
|
})?;
|
|
|
})?;
|
|
|
|
|
|
|
|
|
cs.enforce(
|
|
|
cs.enforce(
|
|
|
|| "check i + 1",
|
|
|
|| "check i + 1",
|
|
|
|lc| lc,
|
|
|
|lc| lc,
|
|
@ -468,113 +306,32 @@ where |
|
|
|lc| lc + i_new.get_variable() - CS::one() - i.get_variable(),
|
|
|
|lc| lc + i_new.get_variable() - CS::one() - i.get_variable(),
|
|
|
);
|
|
|
);
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Allocate z0
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
let z_0 = AllocatedNum::alloc(cs.namespace(|| "z0"), || Ok(self.inputs.get()?.z0))?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Allocate zi
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
let z_i = AllocatedNum::alloc(cs.namespace(|| "zi"), || Ok(self.inputs.get()?.zi))?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
//Check that if i == 0, z0 = zi, that is (i == 0) AND (z0 != zi) = false
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
let z0_is_zi = Boolean::from(alloc_num_equals(
|
|
|
|
|
|
cs.namespace(|| "z0 = zi"),
|
|
|
|
|
|
z_0.clone(),
|
|
|
|
|
|
z_i.clone(),
|
|
|
|
|
|
)?);
|
|
|
|
|
|
|
|
|
|
|
|
cs.enforce(
|
|
|
|
|
|
|| "i == 0 and z0 != zi = false",
|
|
|
|
|
|
|_| is_base_case.lc(CS::one(), G::Base::one()),
|
|
|
|
|
|
|_| z0_is_zi.not().lc(CS::one(), G::Base::one()),
|
|
|
|
|
|
|lc| lc,
|
|
|
|
|
|
);
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Check that h1 = Hash(params, u2,i,z0,zi)
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
let mut h1_hash: PoseidonROGadget<G::Base> =
|
|
|
|
|
|
PoseidonROGadget::new(self.poseidon_constants.clone());
|
|
|
|
|
|
|
|
|
|
|
|
h1_hash.absorb(params.clone());
|
|
|
|
|
|
h1_hash.absorb(W_r.x);
|
|
|
|
|
|
h1_hash.absorb(W_r.y);
|
|
|
|
|
|
h1_hash.absorb(W_r.is_infinity);
|
|
|
|
|
|
h1_hash.absorb(E_r.x);
|
|
|
|
|
|
h1_hash.absorb(E_r.y);
|
|
|
|
|
|
h1_hash.absorb(E_r.is_infinity);
|
|
|
|
|
|
h1_hash.absorb(u_r.clone());
|
|
|
|
|
|
|
|
|
|
|
|
// absorb each of the limbs of X_r[0]
|
|
|
|
|
|
for limb in Xr0_bn.into_iter() {
|
|
|
|
|
|
h1_hash.absorb(limb);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
// absorb each of the limbs of X_r[1]
|
|
|
|
|
|
for limb in Xr1_bn.into_iter() {
|
|
|
|
|
|
h1_hash.absorb(limb);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
h1_hash.absorb(i.clone());
|
|
|
|
|
|
h1_hash.absorb(z_0.clone());
|
|
|
|
|
|
h1_hash.absorb(z_i.clone());
|
|
|
|
|
|
|
|
|
|
|
|
let hash_bits = h1_hash.get_challenge(cs.namespace(|| "Input hash"))?; // TODO: use get_hash method
|
|
|
|
|
|
let hash = le_bits_to_num(cs.namespace(|| "bits to hash"), hash_bits)?;
|
|
|
|
|
|
|
|
|
|
|
|
cs.enforce(
|
|
|
|
|
|
|| "check h1",
|
|
|
|
|
|
|lc| lc,
|
|
|
|
|
|
|lc| lc,
|
|
|
|
|
|
|lc| lc + h1.get_variable() - hash.get_variable(),
|
|
|
|
|
|
);
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Compute z_{i+1}
|
|
|
// Compute z_{i+1}
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
let z_input = conditionally_select(
|
|
|
|
|
|
cs.namespace(|| "select input to F"),
|
|
|
|
|
|
&z_0,
|
|
|
|
|
|
&z_i,
|
|
|
|
|
|
&Boolean::from(is_base_case),
|
|
|
|
|
|
)?;
|
|
|
let z_next = self
|
|
|
let z_next = self
|
|
|
.step_circuit
|
|
|
.step_circuit
|
|
|
.synthesize(&mut cs.namespace(|| "F"), z_i)?;
|
|
|
|
|
|
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
// Compute the new hash H(params, u2_new, i+1, z0, z_{i+1})
|
|
|
|
|
|
/***********************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
h1_hash.flush_state();
|
|
|
|
|
|
h1_hash.absorb(params);
|
|
|
|
|
|
h1_hash.absorb(W_new.x.clone());
|
|
|
|
|
|
h1_hash.absorb(W_new.y.clone());
|
|
|
|
|
|
h1_hash.absorb(W_new.is_infinity);
|
|
|
|
|
|
h1_hash.absorb(E_new.x.clone());
|
|
|
|
|
|
h1_hash.absorb(E_new.y.clone());
|
|
|
|
|
|
h1_hash.absorb(E_new.is_infinity);
|
|
|
|
|
|
h1_hash.absorb(u_new);
|
|
|
|
|
|
|
|
|
|
|
|
// absorb each of the limbs of X_r_new[0]
|
|
|
|
|
|
for limb in Xr0_new_bn.into_iter() {
|
|
|
|
|
|
h1_hash.absorb(limb);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
// absorb each of the limbs of X_r_new[1]
|
|
|
|
|
|
for limb in Xr1_new_bn.into_iter() {
|
|
|
|
|
|
h1_hash.absorb(limb);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
h1_hash.absorb(i_new.clone());
|
|
|
|
|
|
h1_hash.absorb(z_0);
|
|
|
|
|
|
h1_hash.absorb(z_next);
|
|
|
|
|
|
let h1_new_bits = h1_hash.get_challenge(cs.namespace(|| "h1_new bits"))?; // TODO: use get_hash method
|
|
|
|
|
|
let h1_new = le_bits_to_num(cs.namespace(|| "h1_new"), h1_new_bits)?;
|
|
|
|
|
|
let _ = h1_new.inputize(cs.namespace(|| "output h1_new"))?;
|
|
|
|
|
|
|
|
|
.synthesize(&mut cs.namespace(|| "F"), z_input)?;
|
|
|
|
|
|
|
|
|
|
|
|
// Compute the new hash H(params, Unew, i+1, z0, z_{i+1})
|
|
|
|
|
|
let mut ro: PoseidonROGadget<G::Base> = PoseidonROGadget::new(self.poseidon_constants);
|
|
|
|
|
|
ro.absorb(params);
|
|
|
|
|
|
ro.absorb(i_new.clone());
|
|
|
|
|
|
ro.absorb(z_0);
|
|
|
|
|
|
ro.absorb(z_next);
|
|
|
|
|
|
let _ = Unew.absorb_in_ro(cs.namespace(|| "absorb U_new"), &mut ro)?;
|
|
|
|
|
|
let hash_bits = ro.get_hash(cs.namespace(|| "output hash bits"))?;
|
|
|
|
|
|
let hash = le_bits_to_num(cs.namespace(|| "convert hash to num"), hash_bits)?;
|
|
|
|
|
|
|
|
|
|
|
|
// Outputs the computed hash and u.X[1] that corresponds to the hash of the other circuit
|
|
|
|
|
|
let _ = hash.inputize(cs.namespace(|| "output new hash of this circuit"))?;
|
|
|
|
|
|
let _ = u
|
|
|
|
|
|
.X1
|
|
|
|
|
|
.inputize(cs.namespace(|| "Output unmodified hash of the other circuit"))?;
|
|
|
|
|
|
|
|
|
Ok(())
|
|
|
Ok(())
|
|
|
}
|
|
|
}
|
|
@ -628,6 +385,7 @@ mod tests { |
|
|
},
|
|
|
},
|
|
|
poseidon_constants1.clone(),
|
|
|
poseidon_constants1.clone(),
|
|
|
);
|
|
|
);
|
|
|
|
|
|
|
|
|
// First create the shape
|
|
|
// First create the shape
|
|
|
let mut cs: ShapeCS<G1> = ShapeCS::new();
|
|
|
let mut cs: ShapeCS<G1> = ShapeCS::new();
|
|
|
let _ = circuit1.synthesize(&mut cs);
|
|
|
let _ = circuit1.synthesize(&mut cs);
|
|
@ -658,27 +416,20 @@ mod tests { |
|
|
cs.num_constraints()
|
|
|
cs.num_constraints()
|
|
|
);
|
|
|
);
|
|
|
|
|
|
|
|
|
// TODO: We need to hardwire default hash or give it as input
|
|
|
|
|
|
let default_hash = <<G2 as Group>::Base as ff::PrimeField>::from_str_vartime(
|
|
|
|
|
|
"332553638888022689042501686561503049809",
|
|
|
|
|
|
)
|
|
|
|
|
|
.unwrap();
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
let zero = <<G2 as Group>::Base as Field>::zero();
|
|
|
|
|
|
let zero_fq = <<G2 as Group>::Scalar as Field>::zero();
|
|
|
let T = vec![<G2 as Group>::Scalar::zero()].commit(&gens2.gens_E);
|
|
|
let T = vec![<G2 as Group>::Scalar::zero()].commit(&gens2.gens_E);
|
|
|
let w = vec![<G2 as Group>::Scalar::zero()].commit(&gens2.gens_E);
|
|
|
let w = vec![<G2 as Group>::Scalar::zero()].commit(&gens2.gens_E);
|
|
|
|
|
|
|
|
|
// Now get an assignment
|
|
|
// Now get an assignment
|
|
|
let mut cs: SatisfyingAssignment<G1> = SatisfyingAssignment::new();
|
|
|
let mut cs: SatisfyingAssignment<G1> = SatisfyingAssignment::new();
|
|
|
let inputs: NIFSVerifierCircuitInputs<G2> = NIFSVerifierCircuitInputs::new(
|
|
|
let inputs: NIFSVerifierCircuitInputs<G2> = NIFSVerifierCircuitInputs::new(
|
|
|
default_hash,
|
|
|
|
|
|
RelaxedR1CSInstance::default(&gens2, &shape2),
|
|
|
|
|
|
<<G2 as Group>::Base as Field>::zero(), // TODO: provide real inputs
|
|
|
<<G2 as Group>::Base as Field>::zero(), // TODO: provide real inputs
|
|
|
<<G2 as Group>::Base as Field>::zero(), // TODO: provide real inputs
|
|
|
|
|
|
<<G2 as Group>::Base as Field>::zero(), // TODO: provide real inputs
|
|
|
|
|
|
<<G2 as Group>::Base as Field>::zero(), // TODO: provide real inputs
|
|
|
|
|
|
<<G2 as Group>::Base as Field>::zero(), // TODO: provide real inputs
|
|
|
|
|
|
T, // TODO: provide real inputs
|
|
|
|
|
|
w,
|
|
|
|
|
|
|
|
|
zero, // TODO: provide real inputs
|
|
|
|
|
|
zero, // TODO: provide real inputs
|
|
|
|
|
|
zero, // TODO: provide real inputs
|
|
|
|
|
|
RelaxedR1CSInstance::default(&gens2, &shape2),
|
|
|
|
|
|
R1CSInstance::new(&shape2, &w, &[zero_fq, zero_fq]).unwrap(),
|
|
|
|
|
|
T, // TODO: provide real inputs
|
|
|
);
|
|
|
);
|
|
|
|
|
|
|
|
|
let circuit: NIFSVerifierCircuit<G2, TestCircuit<<G2 as Group>::Base>> =
|
|
|
let circuit: NIFSVerifierCircuit<G2, TestCircuit<<G2 as Group>::Base>> =
|
|
|