#![allow(non_snake_case)] #![feature(test)] #![deny(missing_docs)] #![feature(external_doc)] #![doc(include = "../README.md")] extern crate byteorder; extern crate core; extern crate curve25519_dalek; extern crate digest; extern crate merlin; extern crate rand; extern crate rayon; extern crate sha3; extern crate test; mod commitments; mod dense_mlpoly; mod errors; mod group; mod math; mod nizk; mod product_tree; mod r1csinstance; mod r1csproof; mod random; mod scalar; mod sparse_mlpoly; mod sumcheck; mod timer; mod transcript; mod unipoly; use errors::ProofVerifyError; use merlin::Transcript; use r1csinstance::{ R1CSCommitment, R1CSCommitmentGens, R1CSDecommitment, R1CSEvalProof, R1CSInstance, }; use r1csproof::{R1CSGens, R1CSProof}; use random::RandomTape; use scalar::Scalar; use serde::{Deserialize, Serialize}; use timer::Timer; use transcript::{AppendToTranscript, ProofTranscript}; /// `ComputationCommitment` holds a public preprocessed NP statement (e.g., R1CS) pub struct ComputationCommitment { comm: R1CSCommitment, } /// `ComputationDecommitment` holds information to decommit `ComputationCommitment` pub struct ComputationDecommitment { decomm: R1CSDecommitment, } /// `Instance` holds the description of R1CS matrices pub struct Instance { inst: R1CSInstance, } impl Instance { /// Constructs a new `Instance` and an associated satisfying assignment pub fn new( num_cons: usize, num_vars: usize, num_inputs: usize, ) -> (Self, Vec, Vec) { let (inst, vars, inputs) = R1CSInstance::produce_synthetic_r1cs(num_cons, num_vars, num_inputs); (Instance { inst }, vars, inputs) } } /// `SNARKGens` holds public parameters for producing and verifying proofs with the Spartan SNARK pub struct SNARKGens { gens_r1cs_sat: R1CSGens, gens_r1cs_eval: R1CSCommitmentGens, } impl SNARKGens { /// Constructs a new `SNARKGens` given the size of the R1CS statement pub fn new(num_cons: usize, num_vars: usize, num_inputs: usize, num_nz_entries: usize) -> Self { let gens_r1cs_sat = R1CSGens::new(b"gens_r1cs_sat", num_cons, num_vars); let gens_r1cs_eval = R1CSCommitmentGens::new( b"gens_r1cs_eval", num_cons, num_vars, num_inputs, num_nz_entries, ); SNARKGens { gens_r1cs_sat, gens_r1cs_eval, } } } /// `SNARK` holds a proof produced by Spartan SNARK #[derive(Serialize, Deserialize, Debug)] pub struct SNARK { r1cs_sat_proof: R1CSProof, inst_evals: (Scalar, Scalar, Scalar), r1cs_eval_proof: R1CSEvalProof, } impl SNARK { fn protocol_name() -> &'static [u8] { b"Spartan SNARK proof" } /// A public computation to create a commitment to an R1CS instance pub fn encode( inst: &Instance, gens: &SNARKGens, ) -> (ComputationCommitment, ComputationDecommitment) { let timer_encode = Timer::new("SNARK::encode"); let (comm, decomm) = inst.inst.commit(&gens.gens_r1cs_eval); timer_encode.stop(); ( ComputationCommitment { comm }, ComputationDecommitment { decomm }, ) } /// A method to produce a SNARK proof of the satisfiability of an R1CS instance pub fn prove( inst: &Instance, decomm: &ComputationDecommitment, vars: Vec, input: &[Scalar], gens: &SNARKGens, transcript: &mut Transcript, ) -> Self { let timer_prove = Timer::new("SNARK::prove"); // we create a Transcript object seeded with a random Scalar // to aid the prover produce its randomness let mut random_tape = RandomTape::new(b"proof"); transcript.append_protocol_name(SNARK::protocol_name()); let (r1cs_sat_proof, rx, ry) = { let (proof, rx, ry) = R1CSProof::prove( &inst.inst, vars, input, &gens.gens_r1cs_sat, transcript, &mut random_tape, ); let proof_encoded: Vec = bincode::serialize(&proof).unwrap(); Timer::print(&format!("len_r1cs_sat_proof {:?}", proof_encoded.len())); (proof, rx, ry) }; // We send evaluations of A, B, C at r = (rx, ry) as claims // to enable the verifier complete the first sum-check let timer_eval = Timer::new("eval_sparse_polys"); let inst_evals = { let (Ar, Br, Cr) = inst.inst.evaluate(&rx, &ry); Ar.append_to_transcript(b"Ar_claim", transcript); Br.append_to_transcript(b"Br_claim", transcript); Cr.append_to_transcript(b"Cr_claim", transcript); (Ar, Br, Cr) }; timer_eval.stop(); let r1cs_eval_proof = { let proof = R1CSEvalProof::prove( &decomm.decomm, &rx, &ry, &inst_evals, &gens.gens_r1cs_eval, transcript, &mut random_tape, ); let proof_encoded: Vec = bincode::serialize(&proof).unwrap(); Timer::print(&format!("len_r1cs_eval_proof {:?}", proof_encoded.len())); proof }; timer_prove.stop(); SNARK { r1cs_sat_proof, inst_evals, r1cs_eval_proof, } } /// A method to verify the SNARK proof of the satisfiability of an R1CS instance pub fn verify( &self, comm: &ComputationCommitment, input: &[Scalar], transcript: &mut Transcript, gens: &SNARKGens, ) -> Result<(), ProofVerifyError> { let timer_verify = Timer::new("SNARK::verify"); transcript.append_protocol_name(SNARK::protocol_name()); let timer_sat_proof = Timer::new("verify_sat_proof"); assert_eq!(input.len(), comm.comm.get_num_inputs()); let (rx, ry) = self .r1cs_sat_proof .verify( comm.comm.get_num_vars(), comm.comm.get_num_cons(), input, &self.inst_evals, transcript, &gens.gens_r1cs_sat, ) .unwrap(); timer_sat_proof.stop(); let timer_eval_proof = Timer::new("verify_eval_proof"); let (Ar, Br, Cr) = &self.inst_evals; Ar.append_to_transcript(b"Ar_claim", transcript); Br.append_to_transcript(b"Br_claim", transcript); Cr.append_to_transcript(b"Cr_claim", transcript); assert!(self .r1cs_eval_proof .verify( &comm.comm, &rx, &ry, &self.inst_evals, &gens.gens_r1cs_eval, transcript ) .is_ok()); timer_eval_proof.stop(); timer_verify.stop(); Ok(()) } } /// `NIZKGens` holds public parameters for producing and verifying proofs with the Spartan NIZK pub struct NIZKGens { gens_r1cs_sat: R1CSGens, } impl NIZKGens { /// Constructs a new `NIZKGens` given the size of the R1CS statement pub fn new(num_cons: usize, num_vars: usize) -> Self { let gens_r1cs_sat = R1CSGens::new(b"gens_r1cs_sat", num_cons, num_vars); NIZKGens { gens_r1cs_sat } } } /// `NIZK` holds a proof produced by Spartan NIZK #[derive(Serialize, Deserialize, Debug)] pub struct NIZK { r1cs_sat_proof: R1CSProof, r: (Vec, Vec), } impl NIZK { fn protocol_name() -> &'static [u8] { b"Spartan NIZK proof" } /// A method to produce a NIZK proof of the satisfiability of an R1CS instance pub fn prove( inst: &Instance, vars: Vec, input: &[Scalar], gens: &NIZKGens, transcript: &mut Transcript, ) -> Self { let timer_prove = Timer::new("NIZK::prove"); // we create a Transcript object seeded with a random Scalar // to aid the prover produce its randomness let mut random_tape = RandomTape::new(b"proof"); transcript.append_protocol_name(NIZK::protocol_name()); let (r1cs_sat_proof, rx, ry) = { let (proof, rx, ry) = R1CSProof::prove( &inst.inst, vars, input, &gens.gens_r1cs_sat, transcript, &mut random_tape, ); let proof_encoded: Vec = bincode::serialize(&proof).unwrap(); Timer::print(&format!("len_r1cs_sat_proof {:?}", proof_encoded.len())); (proof, rx, ry) }; timer_prove.stop(); NIZK { r1cs_sat_proof, r: (rx, ry), } } /// A method to verify a NIZK proof of the satisfiability of an R1CS instance pub fn verify( &self, inst: &Instance, input: &[Scalar], transcript: &mut Transcript, gens: &NIZKGens, ) -> Result<(), ProofVerifyError> { let timer_verify = Timer::new("NIZK::verify"); transcript.append_protocol_name(NIZK::protocol_name()); // We send evaluations of A, B, C at r = (rx, ry) as claims // to enable the verifier complete the first sum-check let timer_eval = Timer::new("eval_sparse_polys"); let (claimed_rx, claimed_ry) = &self.r; let inst_evals = inst.inst.evaluate(claimed_rx, claimed_ry); timer_eval.stop(); let timer_sat_proof = Timer::new("verify_sat_proof"); assert_eq!(input.len(), inst.inst.get_num_inputs()); let (rx, ry) = self .r1cs_sat_proof .verify( inst.inst.get_num_vars(), inst.inst.get_num_cons(), input, &inst_evals, transcript, &gens.gens_r1cs_sat, ) .unwrap(); // verify if claimed rx and ry are correct assert_eq!(rx, *claimed_rx); assert_eq!(ry, *claimed_ry); timer_sat_proof.stop(); timer_verify.stop(); Ok(()) } } #[cfg(test)] mod tests { use super::*; #[test] pub fn check_snark() { let num_vars = 256; let num_cons = num_vars; let num_inputs = 10; let (inst, vars, inputs) = Instance::new(num_cons, num_vars, num_inputs); // produce public generators let gens = SNARKGens::new(num_cons, num_vars, num_inputs, num_cons); // create a commitment to R1CSInstance let (comm, decomm) = SNARK::encode(&inst, &gens); // produce a proof let mut prover_transcript = Transcript::new(b"example"); let proof = SNARK::prove(&inst, &decomm, vars, &inputs, &gens, &mut prover_transcript); // verify the proof let mut verifier_transcript = Transcript::new(b"example"); assert!(proof .verify(&comm, &inputs, &mut verifier_transcript, &gens) .is_ok()); } }