/// This example does the hash chain but in the naive approach: instead of using folding, it does a /// big circuit containing n instantiations of the sha256 constraints. #[cfg(test)] mod tests { use ark_bn254::{Bn254, Fr}; use ark_groth16::Groth16; use ark_snark::SNARK; use ark_ff::PrimeField; use std::time::Instant; use ark_crypto_primitives::crh::sha256::{constraints::Sha256Gadget, digest::Digest, Sha256}; use ark_r1cs_std::fields::fp::FpVar; use ark_r1cs_std::{alloc::AllocVar, eq::EqGadget}; use ark_r1cs_std::{bits::uint8::UInt8, boolean::Boolean, ToBitsGadget, ToBytesGadget}; use ark_relations::r1cs::{ ConstraintSynthesizer, ConstraintSystem, ConstraintSystemRef, SynthesisError, }; use crate::utils::tests::*; /// Test circuit to be folded #[derive(Clone, Debug)] pub struct SHA256ChainCircuit { z_0: Option>, z_n: Option>, } impl ConstraintSynthesizer for SHA256ChainCircuit { fn generate_constraints(self, cs: ConstraintSystemRef) -> Result<(), SynthesisError> { let z_0 = Vec::>::new_witness(cs.clone(), || { Ok(self.z_0.unwrap_or(vec![F::zero()])) })?; let z_n = Vec::>::new_input(cs.clone(), || Ok(self.z_n.unwrap_or(vec![F::zero()])))?; let mut z_i: Vec> = z_0.clone(); for _ in 0..N { let mut b: Vec> = z_i .iter() .map(|f| UInt8::::from_bits_le(&f.to_bits_le().unwrap()[..8])) .collect::>(); for _ in 0..HASHES_PER_STEP { let mut sha256_var = Sha256Gadget::default(); sha256_var.update(&b).unwrap(); b = sha256_var.finalize()?.to_bytes()?; } // update z_i = z_{i+1} z_i = b .iter() .map(|e| { let bits = e.to_bits_le().unwrap(); Boolean::::le_bits_to_fp_var(&bits).unwrap() }) .collect(); } z_i.enforce_equal(&z_n)?; Ok(()) } } // compute natively in rust the expected result fn rust_native_result(z_0: Vec, n_steps: usize, hashes_per_step: usize) -> Vec { let mut z_i: Vec = z_0.clone(); for _ in 0..n_steps { let mut b = f_vec_to_bytes(z_i.to_vec()); for _ in 0..hashes_per_step { let mut sha256 = Sha256::default(); sha256.update(b); b = sha256.finalize().to_vec(); } z_i = bytes_to_f_vec(b.to_vec()).unwrap(); } z_i.clone() } #[test] fn full_flow() { // set how many iterations of the SHA256ChainCircuit circuit internal loop we want to // compute const N_STEPS: usize = 50; const HASHES_PER_STEP: usize = 10; println!("running the 'naive' SHA256ChainCircuit, with N_STEPS={}, HASHES_PER_STEP={}. Total hashes = {}", N_STEPS, HASHES_PER_STEP, N_STEPS* HASHES_PER_STEP); // set the initial state // let z_0_aux: Vec = vec![0_u32; 32 * 8]; let z_0_aux: Vec = vec![0_u8; 32]; let z_0: Vec = z_0_aux.iter().map(|v| Fr::from(*v)).collect::>(); // run the N iterations 'natively' in rust to compute the expected `z_n` let z_n = rust_native_result(z_0.clone(), N_STEPS, HASHES_PER_STEP); let circuit = SHA256ChainCircuit:: { z_0: Some(z_0), z_n: Some(z_n.clone()), }; let cs = ConstraintSystem::::new_ref(); circuit.clone().generate_constraints(cs.clone()).unwrap(); println!( "number of constraints of the (naive) SHA256ChainCircuit with N={} hash iterations: {}", N_STEPS, cs.num_constraints() ); // now let's generate an actual Groth16 proof let mut rng = rand::rngs::OsRng; let (g16_pk, g16_vk) = Groth16::::circuit_specific_setup(circuit.clone(), &mut rng).unwrap(); let start = Instant::now(); let proof = Groth16::::prove(&g16_pk, circuit.clone(), &mut rng).unwrap(); println!( "Groth16 proof generation (for the naive SHA256ChainCircuit): {:?}", start.elapsed() ); let public_inputs = z_n; let valid_proof = Groth16::::verify(&g16_vk, &public_inputs, &proof).unwrap(); assert!(valid_proof); println!("finished running the 'naive' SHA256ChainCircuit, with N_STEPS={}, HASHES_PER_STEP={}. Total hashes = {}", N_STEPS, HASHES_PER_STEP, N_STEPS* HASHES_PER_STEP); } }