|
|
@@ -0,0 +1,138 @@
|
|
|
+// Say we want to write a circuit that proves we know the preimage to some hash computed
|
|
|
+// using SHA-256d (calling SHA-256 twice). The preimage must have a fixed length known in
|
|
|
+// advance (because the circuit parameters will depend on it), but can otherwise have any value.
|
|
|
+// We take the following strategy:
|
|
|
+//
|
|
|
+// * Witness each bit of the preimage.
|
|
|
+// * Compute hash = SHA-256d(preimage) inside the circuit.
|
|
|
+// * Expose hash as a public input using multiscalar packing.
|
|
|
+//
|
|
|
+use bellman::{
|
|
|
+ gadgets::{
|
|
|
+ boolean::{AllocatedBit, Boolean},
|
|
|
+ multipack,
|
|
|
+ sha256::sha256,
|
|
|
+ },
|
|
|
+ groth16, Circuit, ConstraintSystem, SynthesisError,
|
|
|
+};
|
|
|
+use ff::PrimeField;
|
|
|
+use pairing::{bls12_381::Bls12, Engine};
|
|
|
+use rand::rngs::OsRng;
|
|
|
+use sha2::{Digest, Sha256};
|
|
|
+
|
|
|
+/// Our own SHA-256d gadget. Input and output are in little-endian bit order.
|
|
|
+fn sha256d<Scalar: PrimeField, CS: ConstraintSystem<Scalar>>(
|
|
|
+ mut cs: CS,
|
|
|
+ data: &[Boolean],
|
|
|
+) -> Result<Vec<Boolean>, SynthesisError> {
|
|
|
+ // Flip endianness of each input byte
|
|
|
+ // NOTE: data is a vec of Bool so it is iterating over 8 'bits' at a time
|
|
|
+ // This is needed because Rust sha256 and ZC sha256 have different endianness.
|
|
|
+ let input: Vec<_> = data
|
|
|
+ .chunks(8)
|
|
|
+ .map(|c| c.iter().rev())
|
|
|
+ .flatten()
|
|
|
+ .cloned()
|
|
|
+ .collect();
|
|
|
+
|
|
|
+ let mid = sha256(cs.namespace(|| "SHA-256(input)"), &input)?;
|
|
|
+ let res = sha256(cs.namespace(|| "SHA-256(mid)"), &mid)?;
|
|
|
+
|
|
|
+ // Flip endianness of each output byte
|
|
|
+ Ok(res
|
|
|
+ .chunks(8)
|
|
|
+ .map(|c| c.iter().rev())
|
|
|
+ .flatten()
|
|
|
+ .cloned()
|
|
|
+ .collect())
|
|
|
+}
|
|
|
+
|
|
|
+struct MyCircuit {
|
|
|
+ /// The input to SHA-256d we are proving that we know. Set to `None` when we
|
|
|
+ /// are verifying a proof (and do not have the witness data).
|
|
|
+ preimage: Option<[u8; 80]>,
|
|
|
+}
|
|
|
+
|
|
|
+impl<Scalar: PrimeField> Circuit<Scalar> for MyCircuit {
|
|
|
+ fn synthesize<CS: ConstraintSystem<Scalar>>(self, cs: &mut CS) -> Result<(), SynthesisError> {
|
|
|
+ // Compute the values for the bits of the preimage. If we are verifying a proof,
|
|
|
+ // we still need to create the same constraints, so we return an equivalent-size
|
|
|
+ // Vec of None (indicating that the value of each bit is unknown).
|
|
|
+ let bit_values = if let Some(preimage) = self.preimage {
|
|
|
+ preimage
|
|
|
+ .into_iter()
|
|
|
+ .map(|byte| (0..8).map(move |i| (byte >> i) & 1u8 == 1u8))
|
|
|
+ .flatten()
|
|
|
+ .map(|b| Some(b))
|
|
|
+ .collect()
|
|
|
+ } else {
|
|
|
+ vec![None; 80 * 8]
|
|
|
+ };
|
|
|
+ assert_eq!(bit_values.len(), 80 * 8);
|
|
|
+
|
|
|
+ // Witness the bits of the preimage.
|
|
|
+ let preimage_bits = bit_values
|
|
|
+ .into_iter()
|
|
|
+ .enumerate()
|
|
|
+ // Allocate each bit.
|
|
|
+ .map(|(i, b)| AllocatedBit::alloc(cs.namespace(|| format!("preimage bit {}", i)), b))
|
|
|
+ // Convert the AllocatedBits into Booleans (required for the sha256 gadget).
|
|
|
+ .map(|b| b.map(Boolean::from))
|
|
|
+ .collect::<Result<Vec<_>, _>>()?;
|
|
|
+
|
|
|
+ // Compute hash = SHA-256d(preimage).
|
|
|
+ let hash = sha256d(cs.namespace(|| "SHA-256d(preimage)"), &preimage_bits)?;
|
|
|
+
|
|
|
+ // Expose the vector of 32 boolean variables as compact public inputs.
|
|
|
+ multipack::pack_into_inputs(cs.namespace(|| "pack hash"), &hash)
|
|
|
+ }
|
|
|
+}
|
|
|
+
|
|
|
+fn main() {
|
|
|
+ use std::time::{Duration, Instant};
|
|
|
+
|
|
|
+ let start = Instant::now();
|
|
|
+ println!("Starting...");
|
|
|
+ // Create parameters for our circuit. In a production deployment these would
|
|
|
+ // be generated securely using a multiparty computation.
|
|
|
+ let params = {
|
|
|
+ let c = MyCircuit { preimage: None };
|
|
|
+ groth16::generate_random_parameters::<Bls12, _, _>(c, &mut OsRng).unwrap()
|
|
|
+ };
|
|
|
+ println!("Generated random params. [{:?}]", start.elapsed());
|
|
|
+
|
|
|
+ let start = Instant::now();
|
|
|
+ // Prepare the verification key (for proof verification).
|
|
|
+ let pvk = groth16::prepare_verifying_key(¶ms.vk);
|
|
|
+ println!("Prepared verify key [{:?}]", start.elapsed());
|
|
|
+
|
|
|
+ let start = Instant::now();
|
|
|
+ // Pick a preimage and compute its hash.
|
|
|
+ let preimage = [42; 80];
|
|
|
+ let hash = Sha256::digest(&Sha256::digest(&preimage));
|
|
|
+ println!(
|
|
|
+ "Computed sha256(sha256(preimage)) witness data [{:?}]",
|
|
|
+ start.elapsed()
|
|
|
+ );
|
|
|
+
|
|
|
+ // Create an instance of our circuit (with the preimage as a witness).
|
|
|
+ let c = MyCircuit {
|
|
|
+ preimage: Some(preimage),
|
|
|
+ };
|
|
|
+
|
|
|
+ let start = Instant::now();
|
|
|
+ // Create a Groth16 proof with our parameters.
|
|
|
+ let proof = groth16::create_random_proof(c, ¶ms, &mut OsRng).unwrap();
|
|
|
+ println!("Generated random proof [{:?}]", start.elapsed());
|
|
|
+
|
|
|
+ let start = Instant::now();
|
|
|
+ // Pack the hash as inputs for proof verification.
|
|
|
+ let hash_bits = multipack::bytes_to_bits_le(&hash);
|
|
|
+ let inputs = multipack::compute_multipacking(&hash_bits);
|
|
|
+ println!("Packed data and verifying proof... [{:?}]", start.elapsed());
|
|
|
+
|
|
|
+ let start = Instant::now();
|
|
|
+ // Check the proof!
|
|
|
+ assert!(groth16::verify_proof(&pvk, &proof, &inputs).is_ok());
|
|
|
+ println!("Done! [{:?}]", start.elapsed());
|
|
|
+}
|