use std::convert::TryInto; use anyhow::{ensure, Result}; use serde::{Deserialize, Serialize}; use crate::field::extension_field::target::ExtensionTarget; use crate::field::extension_field::Extendable; use crate::field::field_types::{Field, RichField}; use crate::gates::gmimc::GMiMCGate; use crate::hash::hash_types::{HashOut, HashOutTarget, MerkleCapTarget}; use crate::hash::hashing::{compress, hash_or_noop}; use crate::hash::merkle_tree::MerkleCap; use crate::iop::target::{BoolTarget, Target}; use crate::iop::wire::Wire; use crate::plonk::circuit_builder::CircuitBuilder; #[derive(Clone, Debug, Serialize, Deserialize)] #[serde(bound = "")] pub struct MerkleProof { /// The Merkle digest of each sibling subtree, staying from the bottommost layer. pub siblings: Vec>, } #[derive(Clone)] pub struct MerkleProofTarget { /// The Merkle digest of each sibling subtree, staying from the bottommost layer. pub siblings: Vec, } /// Verifies that the given leaf data is present at the given index in the Merkle tree with the /// given cap. pub(crate) fn verify_merkle_proof( leaf_data: Vec, leaf_index: usize, merkle_cap: &MerkleCap, proof: &MerkleProof, ) -> Result<()> { let mut index = leaf_index; let mut current_digest = hash_or_noop(leaf_data); for &sibling_digest in proof.siblings.iter() { let bit = index & 1; index >>= 1; current_digest = if bit == 1 { compress(sibling_digest, current_digest) } else { compress(current_digest, sibling_digest) } } ensure!( current_digest == merkle_cap.0[index], "Invalid Merkle proof." ); Ok(()) } impl, const D: usize> CircuitBuilder { /// Verifies that the given leaf data is present at the given index in the Merkle tree with the /// given cap. The index is given by it's little-endian bits. /// Note: Works only for D=4. pub(crate) fn verify_merkle_proof( &mut self, leaf_data: Vec, leaf_index_bits: &[BoolTarget], merkle_cap: &MerkleCapTarget, proof: &MerkleProofTarget, ) { let zero = self.zero(); let mut state: HashOutTarget = self.hash_or_noop(leaf_data); for (&bit, &sibling) in leaf_index_bits.iter().zip(&proof.siblings) { let inputs = [state.elements, sibling.elements, [zero; 4]] .concat() .try_into() .unwrap(); let outputs = self.gmimc_permute_swapped(inputs, bit); state = HashOutTarget::from_vec(outputs[0..4].to_vec()); } let index = self.le_sum(leaf_index_bits[proof.siblings.len()..].to_vec().into_iter()); let state_ext = state.elements[..].try_into().expect("requires D = 4"); let state_ext = ExtensionTarget(state_ext); let cap_ext = merkle_cap .0 .iter() .map(|h| { let tmp = h.elements[..].try_into().expect("requires D = 4"); ExtensionTarget(tmp) }) .collect(); self.random_access(index, state_ext, cap_ext); } /// Same a `verify_merkle_proof` but with the final "cap index" as extra parameter. /// Note: Works only for D=4. pub(crate) fn verify_merkle_proof_with_cap_index( &mut self, leaf_data: Vec, leaf_index_bits: &[BoolTarget], cap_index: Target, merkle_cap: &MerkleCapTarget, proof: &MerkleProofTarget, ) { let zero = self.zero(); let mut state: HashOutTarget = self.hash_or_noop(leaf_data); for (&bit, &sibling) in leaf_index_bits.iter().zip(&proof.siblings) { let gate_type = GMiMCGate::::new(); let gate = self.add_gate(gate_type, vec![]); let swap_wire = GMiMCGate::::WIRE_SWAP; let swap_wire = Target::Wire(Wire { gate, input: swap_wire, }); self.generate_copy(bit.target, swap_wire); let input_wires = (0..12) .map(|i| { Target::Wire(Wire { gate, input: GMiMCGate::::wire_input(i), }) }) .collect::>(); for i in 0..4 { self.connect(state.elements[i], input_wires[i]); self.connect(sibling.elements[i], input_wires[4 + i]); self.connect(zero, input_wires[8 + i]); } state = HashOutTarget::from_vec( (0..4) .map(|i| { Target::Wire(Wire { gate, input: GMiMCGate::::wire_output(i), }) }) .collect(), ) } let state_ext = state.elements[..].try_into().expect("requires D = 4"); let state_ext = ExtensionTarget(state_ext); let cap_ext = merkle_cap .0 .iter() .map(|h| { let tmp = h.elements[..].try_into().expect("requires D = 4"); ExtensionTarget(tmp) }) .collect(); self.random_access(cap_index, state_ext, cap_ext); } pub fn assert_hashes_equal(&mut self, x: HashOutTarget, y: HashOutTarget) { for i in 0..4 { self.connect(x.elements[i], y.elements[i]); } } } #[cfg(test)] mod tests { use anyhow::Result; use rand::{thread_rng, Rng}; use super::*; use crate::field::crandall_field::CrandallField; use crate::hash::merkle_tree::MerkleTree; use crate::iop::witness::{PartialWitness, Witness}; use crate::plonk::circuit_builder::CircuitBuilder; use crate::plonk::circuit_data::CircuitConfig; use crate::plonk::verifier::verify; fn random_data(n: usize, k: usize) -> Vec> { (0..n).map(|_| F::rand_vec(k)).collect() } #[test] fn test_recursive_merkle_proof() -> Result<()> { type F = CrandallField; let config = CircuitConfig::large_config(); let mut pw = PartialWitness::new(); let mut builder = CircuitBuilder::::new(config); let log_n = 8; let n = 1 << log_n; let cap_height = 1; let leaves = random_data::(n, 7); let tree = MerkleTree::new(leaves, cap_height); let i: usize = thread_rng().gen_range(0..n); let proof = tree.prove(i); let proof_t = MerkleProofTarget { siblings: builder.add_virtual_hashes(proof.siblings.len()), }; for i in 0..proof.siblings.len() { pw.set_hash_target(proof_t.siblings[i], proof.siblings[i]); } let cap_t = builder.add_virtual_cap(cap_height); pw.set_cap_target(&cap_t, &tree.cap); let i_c = builder.constant(F::from_canonical_usize(i)); let i_bits = builder.split_le(i_c, log_n); let data = builder.add_virtual_targets(tree.leaves[i].len()); for j in 0..data.len() { pw.set_target(data[j], tree.leaves[i][j]); } builder.verify_merkle_proof(data, &i_bits, &cap_t, &proof_t); let data = builder.build(); let proof = data.prove(pw)?; verify(proof, &data.verifier_only, &data.common) } }