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merkle.rs
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use core::fmt::Display;
use alloc::vec::Vec;
use super::{proof::Proof, traits::IsMerkleTreeBackend, utils::*};
#[derive(Debug)]
pub enum Error {
OutOfBounds,
}
impl Display for Error {
fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
write!(f, "Accessed node was out of bound")
}
}
#[cfg(feature = "std")]
impl std::error::Error for Error {}
/// The struct for the Merkle tree, consisting of the root and the nodes.
/// A typical tree would look like this
/// root
/// / \
/// leaf 12 leaf 34
/// / \ / \
/// leaf 1 leaf 2 leaf 3 leaf 4
/// The bottom leafs correspond to the hashes of the elements, while each upper
/// layer contains the hash of the concatenation of the daughter nodes.
#[derive(Clone)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
pub struct MerkleTree<B: IsMerkleTreeBackend> {
pub root: B::Node,
nodes: Vec<B::Node>,
}
const ROOT: usize = 0;
impl<B> MerkleTree<B>
where
B: IsMerkleTreeBackend,
{
/// Create a Merkle tree from a slice of data
pub fn build(unhashed_leaves: &[B::Data]) -> Option<Self> {
if unhashed_leaves.is_empty() {
return None;
}
let hashed_leaves: Vec<B::Node> = B::hash_leaves(unhashed_leaves);
//The leaf must be a power of 2 set
let hashed_leaves = complete_until_power_of_two(hashed_leaves);
let leaves_len = hashed_leaves.len();
//The length of leaves minus one inner node in the merkle tree
//The first elements are overwritten by build function, it doesn't matter what it's there
let mut nodes = vec![hashed_leaves[0].clone(); leaves_len - 1];
nodes.extend(hashed_leaves);
//Build the inner nodes of the tree
build::<B>(&mut nodes, leaves_len);
Some(MerkleTree {
root: nodes[ROOT].clone(),
nodes,
})
}
/// Returns a Merkle proof for the element/s at position pos
/// For example, give me an inclusion proof for the 3rd element in the
/// Merkle tree
pub fn get_proof_by_pos(&self, pos: usize) -> Option<Proof<B::Node>> {
let pos = pos + self.nodes.len() / 2;
let Ok(merkle_path) = self.build_merkle_path(pos) else {
return None;
};
self.create_proof(merkle_path)
}
/// Creates a proof from a Merkle pasth
fn create_proof(&self, merkle_path: Vec<B::Node>) -> Option<Proof<B::Node>> {
Some(Proof { merkle_path })
}
/// Returns the Merkle path for the element/s for the leaf at position pos
fn build_merkle_path(&self, pos: usize) -> Result<Vec<B::Node>, Error> {
let mut merkle_path = Vec::new();
let mut pos = pos;
while pos != ROOT {
let Some(node) = self.nodes.get(sibling_index(pos)) else {
// out of bounds, exit returning the current merkle_path
return Err(Error::OutOfBounds);
};
merkle_path.push(node.clone());
pos = parent_index(pos);
}
Ok(merkle_path)
}
}
#[cfg(test)]
mod tests {
use super::*;
use lambdaworks_math::field::{element::FieldElement, fields::u64_prime_field::U64PrimeField};
use crate::merkle_tree::{merkle::MerkleTree, test_merkle::TestBackend};
const MODULUS: u64 = 13;
type U64PF = U64PrimeField<MODULUS>;
type FE = FieldElement<U64PF>;
#[test]
fn build_merkle_tree_from_a_power_of_two_list_of_values() {
let values: Vec<FE> = (1..5).map(FE::new).collect();
let merkle_tree = MerkleTree::<TestBackend<U64PF>>::build(&values).unwrap();
assert_eq!(merkle_tree.root, FE::new(7)); // Adjusted expected value
}
#[test]
// expected | 8 | 7 | 1 | 6 | 1 | 7 | 7 | 2 | 4 | 6 | 8 | 10 | 10 | 10 | 10 |
fn build_merkle_tree_from_an_odd_set_of_leaves() {
const MODULUS: u64 = 13;
type U64PF = U64PrimeField<MODULUS>;
type FE = FieldElement<U64PF>;
let values: Vec<FE> = (1..6).map(FE::new).collect();
let merkle_tree = MerkleTree::<TestBackend<U64PF>>::build(&values).unwrap();
assert_eq!(merkle_tree.root, FE::new(8)); // Adjusted expected value
}
#[test]
fn build_merkle_tree_from_a_single_value() {
const MODULUS: u64 = 13;
type U64PF = U64PrimeField<MODULUS>;
type FE = FieldElement<U64PF>;
let values: Vec<FE> = vec![FE::new(1)]; // Single element
let merkle_tree = MerkleTree::<TestBackend<U64PF>>::build(&values).unwrap();
assert_eq!(merkle_tree.root, FE::new(2)); // Adjusted expected value
}
#[test]
fn build_empty_tree_should_not_panic() {
assert!(MerkleTree::<TestBackend<U64PF>>::build(&[]).is_none());
}
}