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//! Note Commitment Trees.
//!
//! A note commitment tree is an incremental Merkle tree of fixed depth
//! used to store note commitments that Action
//! transfers produce. Just as the unspent transaction output set (UTXO
//! set) used in Bitcoin, it is used to express the existence of value and
//! the capability to spend it. However, unlike the UTXO set, it is not
//! the job of this tree to protect against double-spending, as it is
//! append-only.
//!
//! A root of a note commitment tree is associated with each treestate.
use std::{
default::Default,
fmt,
hash::{Hash, Hasher},
io,
};
use bitvec::prelude::*;
use bridgetree::NonEmptyFrontier;
use halo2::pasta::{group::ff::PrimeField, pallas};
use hex::ToHex;
use incrementalmerkletree::Hashable;
use lazy_static::lazy_static;
use thiserror::Error;
use zcash_primitives::merkle_tree::HashSer;
use super::sinsemilla::*;
use crate::{
serialization::{
serde_helpers, ReadZcashExt, SerializationError, ZcashDeserialize, ZcashSerialize,
},
subtree::{NoteCommitmentSubtreeIndex, TRACKED_SUBTREE_HEIGHT},
};
pub mod legacy;
use legacy::LegacyNoteCommitmentTree;
/// The type that is used to update the note commitment tree.
///
/// Unfortunately, this is not the same as `orchard::NoteCommitment`.
pub type NoteCommitmentUpdate = pallas::Base;
pub(super) const MERKLE_DEPTH: u8 = 32;
/// MerkleCRH^Orchard Hash Function
///
/// Used to hash incremental Merkle tree hash values for Orchard.
///
/// MerkleCRH^Orchard: {0..MerkleDepth^Orchard ā 1} Ć Pš„ Ć Pš„ ā Pš„
///
/// MerkleCRH^Orchard(layer, left, right) := 0 if hash == ā„; hash otherwise
///
/// where hash = SinsemillaHash("z.cash:Orchard-MerkleCRH", l || left || right),
/// l = I2LEBSP_10(MerkleDepth^Orchard ā 1 ā layer), and left, right, and
/// the output are the x-coordinates of Pallas affine points.
///
/// <https://zips.z.cash/protocol/protocol.pdf#orchardmerklecrh>
/// <https://zips.z.cash/protocol/protocol.pdf#constants>
fn merkle_crh_orchard(layer: u8, left: pallas::Base, right: pallas::Base) -> pallas::Base {
let mut s = bitvec![u8, Lsb0;];
// Prefix: l = I2LEBSP_10(MerkleDepth^Orchard ā 1 ā layer)
let l = MERKLE_DEPTH - 1 - layer;
s.extend_from_bitslice(&BitArray::<_, Lsb0>::from([l, 0])[0..10]);
s.extend_from_bitslice(&BitArray::<_, Lsb0>::from(left.to_repr())[0..255]);
s.extend_from_bitslice(&BitArray::<_, Lsb0>::from(right.to_repr())[0..255]);
match sinsemilla_hash(b"z.cash:Orchard-MerkleCRH", &s) {
Some(h) => h,
None => pallas::Base::zero(),
}
}
lazy_static! {
/// List of "empty" Orchard note commitment nodes, one for each layer.
///
/// The list is indexed by the layer number (0: root; MERKLE_DEPTH: leaf).
///
/// <https://zips.z.cash/protocol/protocol.pdf#constants>
pub(super) static ref EMPTY_ROOTS: Vec<pallas::Base> = {
// The empty leaf node. This is layer 32.
let mut v = vec![NoteCommitmentTree::uncommitted()];
// Starting with layer 31 (the first internal layer, after the leaves),
// generate the empty roots up to layer 0, the root.
for layer in (0..MERKLE_DEPTH).rev()
{
// The vector is generated from the end, pushing new nodes to its beginning.
// For this reason, the layer below is v[0].
let next = merkle_crh_orchard(layer, v[0], v[0]);
v.insert(0, next);
}
v
};
}
/// Orchard note commitment tree root node hash.
///
/// The root hash in LEBS2OSP256(rt) encoding of the Orchard note commitment
/// tree corresponding to the final Orchard treestate of this block. A root of a
/// note commitment tree is associated with each treestate.
#[derive(Clone, Copy, Default, Eq, Serialize, Deserialize)]
pub struct Root(#[serde(with = "serde_helpers::Base")] pub(crate) pallas::Base);
impl fmt::Debug for Root {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
f.debug_tuple("Root")
.field(&hex::encode(self.0.to_repr()))
.finish()
}
}
impl From<Root> for [u8; 32] {
fn from(root: Root) -> Self {
root.0.into()
}
}
impl From<&Root> for [u8; 32] {
fn from(root: &Root) -> Self {
(*root).into()
}
}
impl Hash for Root {
fn hash<H: Hasher>(&self, state: &mut H) {
self.0.to_repr().hash(state)
}
}
impl PartialEq for Root {
fn eq(&self, other: &Self) -> bool {
// TODO: should we compare canonical forms here using `.to_repr()`?
self.0 == other.0
}
}
impl TryFrom<[u8; 32]> for Root {
type Error = SerializationError;
fn try_from(bytes: [u8; 32]) -> Result<Self, Self::Error> {
let possible_point = pallas::Base::from_repr(bytes);
if possible_point.is_some().into() {
Ok(Self(possible_point.unwrap()))
} else {
Err(SerializationError::Parse(
"Invalid pallas::Base value for Orchard note commitment tree root",
))
}
}
}
impl ZcashSerialize for Root {
fn zcash_serialize<W: io::Write>(&self, mut writer: W) -> Result<(), io::Error> {
writer.write_all(&<[u8; 32]>::from(*self)[..])?;
Ok(())
}
}
impl ZcashDeserialize for Root {
fn zcash_deserialize<R: io::Read>(mut reader: R) -> Result<Self, SerializationError> {
Self::try_from(reader.read_32_bytes()?)
}
}
/// A node of the Orchard Incremental Note Commitment Tree.
#[derive(Copy, Clone, Eq, PartialEq, Default)]
pub struct Node(pallas::Base);
impl Node {
/// Calls `to_repr()` on inner value.
pub fn to_repr(&self) -> [u8; 32] {
self.0.to_repr()
}
/// Return the node bytes in big-endian byte-order suitable for printing out byte by byte.
///
/// `zcashd`'s `z_getsubtreesbyindex` does not reverse the byte order of subtree roots.
pub fn bytes_in_display_order(&self) -> [u8; 32] {
self.to_repr()
}
}
impl TryFrom<&[u8]> for Node {
type Error = &'static str;
fn try_from(bytes: &[u8]) -> Result<Self, Self::Error> {
<[u8; 32]>::try_from(bytes)
.map_err(|_| "wrong byte slice len")?
.try_into()
}
}
impl TryFrom<[u8; 32]> for Node {
type Error = &'static str;
fn try_from(bytes: [u8; 32]) -> Result<Self, Self::Error> {
Option::<pallas::Base>::from(pallas::Base::from_repr(bytes))
.map(Node)
.ok_or("invalid Pallas field element")
}
}
impl fmt::Display for Node {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
f.write_str(&self.encode_hex::<String>())
}
}
impl fmt::Debug for Node {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
f.debug_tuple("orchard::Node")
.field(&self.encode_hex::<String>())
.finish()
}
}
impl ToHex for &Node {
fn encode_hex<T: FromIterator<char>>(&self) -> T {
self.bytes_in_display_order().encode_hex()
}
fn encode_hex_upper<T: FromIterator<char>>(&self) -> T {
self.bytes_in_display_order().encode_hex_upper()
}
}
impl ToHex for Node {
fn encode_hex<T: FromIterator<char>>(&self) -> T {
(&self).encode_hex()
}
fn encode_hex_upper<T: FromIterator<char>>(&self) -> T {
(&self).encode_hex_upper()
}
}
/// Required to serialize [`NoteCommitmentTree`]s in a format compatible with `zcashd`.
///
/// Zebra stores Orchard note commitment trees as [`Frontier`][1]s while the
/// [`z_gettreestate`][2] RPC requires [`CommitmentTree`][3]s. Implementing
/// [`HashSer`] for [`Node`]s allows the conversion.
///
/// [1]: bridgetree::Frontier
/// [2]: https://zcash.github.io/rpc/z_gettreestate.html
/// [3]: incrementalmerkletree::frontier::CommitmentTree
impl HashSer for Node {
fn read<R: io::Read>(mut reader: R) -> io::Result<Self> {
let mut repr = [0u8; 32];
reader.read_exact(&mut repr)?;
let maybe_node = pallas::Base::from_repr(repr).map(Self);
<Option<_>>::from(maybe_node).ok_or_else(|| {
io::Error::new(
io::ErrorKind::InvalidInput,
"Non-canonical encoding of Pallas base field value.",
)
})
}
fn write<W: io::Write>(&self, mut writer: W) -> io::Result<()> {
writer.write_all(&self.0.to_repr())
}
}
impl Hashable for Node {
fn empty_leaf() -> Self {
Self(NoteCommitmentTree::uncommitted())
}
/// Combine two nodes to generate a new node in the given level.
/// Level 0 is the layer above the leaves (layer 31).
/// Level 31 is the root (layer 0).
fn combine(level: incrementalmerkletree::Level, a: &Self, b: &Self) -> Self {
let layer = MERKLE_DEPTH - 1 - u8::from(level);
Self(merkle_crh_orchard(layer, a.0, b.0))
}
/// Return the node for the level below the given level. (A quirk of the API)
fn empty_root(level: incrementalmerkletree::Level) -> Self {
let layer_below = usize::from(MERKLE_DEPTH) - usize::from(level);
Self(EMPTY_ROOTS[layer_below])
}
}
impl From<pallas::Base> for Node {
fn from(x: pallas::Base) -> Self {
Node(x)
}
}
impl serde::Serialize for Node {
fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
where
S: serde::Serializer,
{
self.0.to_repr().serialize(serializer)
}
}
impl<'de> serde::Deserialize<'de> for Node {
fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where
D: serde::Deserializer<'de>,
{
let bytes = <[u8; 32]>::deserialize(deserializer)?;
Option::<pallas::Base>::from(pallas::Base::from_repr(bytes))
.map(Node)
.ok_or_else(|| serde::de::Error::custom("invalid Pallas field element"))
}
}
#[derive(Error, Copy, Clone, Debug, Eq, PartialEq, Hash)]
#[allow(missing_docs)]
pub enum NoteCommitmentTreeError {
#[error("The note commitment tree is full")]
FullTree,
}
/// Orchard Incremental Note Commitment Tree
///
/// Note that the default value of the [`Root`] type is `[0, 0, 0, 0]`. However, this value differs
/// from the default value of the root of the default tree which is the hash of the root's child
/// nodes. The default tree is the empty tree which has all leaves empty.
#[derive(Debug, Serialize, Deserialize)]
#[serde(into = "LegacyNoteCommitmentTree")]
#[serde(from = "LegacyNoteCommitmentTree")]
pub struct NoteCommitmentTree {
/// The tree represented as a Frontier.
///
/// A Frontier is a subset of the tree that allows to fully specify it.
/// It consists of nodes along the rightmost (newer) branch of the tree that
/// has non-empty nodes. Upper (near root) empty nodes of the branch are not
/// stored.
///
/// # Consensus
///
/// > [NU5 onward] A block MUST NOT add Orchard note commitments that would result in the Orchard note
/// > commitment tree exceeding its capacity of 2^(MerkleDepth^Orchard) leaf nodes.
///
/// <https://zips.z.cash/protocol/protocol.pdf#merkletree>
///
/// Note: MerkleDepth^Orchard = MERKLE_DEPTH = 32.
inner: bridgetree::Frontier<Node, MERKLE_DEPTH>,
/// A cached root of the tree.
///
/// Every time the root is computed by [`Self::root`] it is cached here,
/// and the cached value will be returned by [`Self::root`] until the tree is
/// changed by [`Self::append`]. This greatly increases performance
/// because it avoids recomputing the root when the tree does not change
/// between blocks. In the finalized state, the tree is read from
/// disk for every block processed, which would also require recomputing
/// the root even if it has not changed (note that the cached root is
/// serialized with the tree). This is particularly important since we decided
/// to instantiate the trees from the genesis block, for simplicity.
///
/// We use a [`RwLock`](std::sync::RwLock) for this cache, because it is
/// only written once per tree update. Each tree has its own cached root, a
/// new lock is created for each clone.
cached_root: std::sync::RwLock<Option<Root>>,
}
impl NoteCommitmentTree {
/// Adds a note commitment x-coordinate to the tree.
///
/// The leaves of the tree are actually a base field element, the
/// x-coordinate of the commitment, the data that is actually stored on the
/// chain and input into the proof.
///
/// Returns an error if the tree is full.
#[allow(clippy::unwrap_in_result)]
pub fn append(&mut self, cm_x: NoteCommitmentUpdate) -> Result<(), NoteCommitmentTreeError> {
if self.inner.append(cm_x.into()) {
// Invalidate cached root
let cached_root = self
.cached_root
.get_mut()
.expect("a thread that previously held exclusive lock access panicked");
*cached_root = None;
Ok(())
} else {
Err(NoteCommitmentTreeError::FullTree)
}
}
/// Returns frontier of non-empty tree, or `None` if the tree is empty.
fn frontier(&self) -> Option<&NonEmptyFrontier<Node>> {
self.inner.value()
}
/// Returns the position of the most recently appended leaf in the tree.
///
/// This method is used for debugging, use `incrementalmerkletree::Address` for tree operations.
pub fn position(&self) -> Option<u64> {
let Some(tree) = self.frontier() else {
// An empty tree doesn't have a previous leaf.
return None;
};
Some(tree.position().into())
}
/// Returns true if this tree has at least one new subtree, when compared with `prev_tree`.
pub fn contains_new_subtree(&self, prev_tree: &Self) -> bool {
// Use -1 for the index of the subtree with no notes, so the comparisons are valid.
let index = self.subtree_index().map_or(-1, |index| i32::from(index.0));
let prev_index = prev_tree
.subtree_index()
.map_or(-1, |index| i32::from(index.0));
// This calculation can't overflow, because we're using i32 for u16 values.
let index_difference = index - prev_index;
// There are 4 cases we need to handle:
// - lower index: never a new subtree
// - equal index: sometimes a new subtree
// - next index: sometimes a new subtree
// - greater than the next index: always a new subtree
//
// To simplify the function, we deal with the simple cases first.
// There can't be any new subtrees if the current index is strictly lower.
if index < prev_index {
return false;
}
// There is at least one new subtree, even if there is a spurious index difference.
if index_difference > 1 {
return true;
}
// If the indexes are equal, there can only be a new subtree if `self` just completed it.
if index == prev_index {
return self.is_complete_subtree();
}
// If `self` is the next index, check if the last note completed a subtree.
if self.is_complete_subtree() {
return true;
}
// Then check for spurious index differences.
//
// There is one new subtree somewhere in the trees. It is either:
// - a new subtree at the end of the previous tree, or
// - a new subtree in this tree (but not at the end).
//
// Spurious index differences happen because the subtree index only increases when the
// first note is added to the new subtree. So we need to exclude subtrees completed by the
// last note commitment in the previous tree.
//
// We also need to exclude empty previous subtrees, because the index changes to zero when
// the first note is added, but a subtree wasn't completed.
if prev_tree.is_complete_subtree() || prev_index == -1 {
return false;
}
// A new subtree was completed by a note commitment that isn't in the previous tree.
true
}
/// Returns true if the most recently appended leaf completes the subtree
pub fn is_complete_subtree(&self) -> bool {
let Some(tree) = self.frontier() else {
// An empty tree can't be a complete subtree.
return false;
};
tree.position()
.is_complete_subtree(TRACKED_SUBTREE_HEIGHT.into())
}
/// Returns the subtree index at [`TRACKED_SUBTREE_HEIGHT`].
/// This is the number of complete or incomplete subtrees that are currently in the tree.
/// Returns `None` if the tree is empty.
#[allow(clippy::unwrap_in_result)]
pub fn subtree_index(&self) -> Option<NoteCommitmentSubtreeIndex> {
let tree = self.frontier()?;
let index = incrementalmerkletree::Address::above_position(
TRACKED_SUBTREE_HEIGHT.into(),
tree.position(),
)
.index()
.try_into()
.expect("fits in u16");
Some(index)
}
/// Returns the number of leaf nodes required to complete the subtree at
/// [`TRACKED_SUBTREE_HEIGHT`].
///
/// Returns `2^TRACKED_SUBTREE_HEIGHT` if the tree is empty.
#[allow(clippy::unwrap_in_result)]
pub fn remaining_subtree_leaf_nodes(&self) -> usize {
let remaining = match self.frontier() {
// If the subtree has at least one leaf node, the remaining number of nodes can be
// calculated using the maximum subtree position and the current position.
Some(tree) => {
let max_position = incrementalmerkletree::Address::above_position(
TRACKED_SUBTREE_HEIGHT.into(),
tree.position(),
)
.max_position();
max_position - tree.position().into()
}
// If the subtree has no nodes, the remaining number of nodes is the number of nodes in
// a subtree.
None => {
let subtree_address = incrementalmerkletree::Address::above_position(
TRACKED_SUBTREE_HEIGHT.into(),
// This position is guaranteed to be in the first subtree.
0.into(),
);
assert_eq!(
subtree_address.position_range_start(),
0.into(),
"address is not in the first subtree"
);
subtree_address.position_range_end()
}
};
u64::from(remaining).try_into().expect("fits in usize")
}
/// Returns subtree index and root if the most recently appended leaf completes the subtree
pub fn completed_subtree_index_and_root(&self) -> Option<(NoteCommitmentSubtreeIndex, Node)> {
if !self.is_complete_subtree() {
return None;
}
let index = self.subtree_index()?;
let root = self.frontier()?.root(Some(TRACKED_SUBTREE_HEIGHT.into()));
Some((index, root))
}
/// Returns the current root of the tree, used as an anchor in Orchard
/// shielded transactions.
pub fn root(&self) -> Root {
if let Some(root) = self.cached_root() {
// Return cached root.
return root;
}
// Get exclusive access, compute the root, and cache it.
let mut write_root = self
.cached_root
.write()
.expect("a thread that previously held exclusive lock access panicked");
let read_root = write_root.as_ref().cloned();
match read_root {
// Another thread got write access first, return cached root.
Some(root) => root,
None => {
// Compute root and cache it.
let root = self.recalculate_root();
*write_root = Some(root);
root
}
}
}
/// Returns the current root of the tree, if it has already been cached.
#[allow(clippy::unwrap_in_result)]
pub fn cached_root(&self) -> Option<Root> {
*self
.cached_root
.read()
.expect("a thread that previously held exclusive lock access panicked")
}
/// Calculates and returns the current root of the tree, ignoring any caching.
pub fn recalculate_root(&self) -> Root {
Root(self.inner.root().0)
}
/// Get the Pallas-based Sinsemilla hash / root node of this merkle tree of
/// note commitments.
pub fn hash(&self) -> [u8; 32] {
self.root().into()
}
/// An as-yet unused Orchard note commitment tree leaf node.
///
/// Distinct for Orchard, a distinguished hash value of:
///
/// Uncommitted^Orchard = I2LEBSP_l_MerkleOrchard(2)
pub fn uncommitted() -> pallas::Base {
pallas::Base::one().double()
}
/// Count of note commitments added to the tree.
///
/// For Orchard, the tree is capped at 2^32.
pub fn count(&self) -> u64 {
self.inner
.value()
.map_or(0, |x| u64::from(x.position()) + 1)
}
/// Checks if the tree roots and inner data structures of `self` and `other` are equal.
///
/// # Panics
///
/// If they aren't equal, with a message explaining the differences.
///
/// Only for use in tests.
#[cfg(any(test, feature = "proptest-impl"))]
pub fn assert_frontier_eq(&self, other: &Self) {
// It's technically ok for the cached root not to be preserved,
// but it can result in expensive cryptographic operations,
// so we fail the tests if it happens.
assert_eq!(self.cached_root(), other.cached_root());
// Check the data in the internal data structure
assert_eq!(self.inner, other.inner);
// Check the RPC serialization format (not the same as the Zebra database format)
assert_eq!(self.to_rpc_bytes(), other.to_rpc_bytes());
}
/// Serializes [`Self`] to a format compatible with `zcashd`'s RPCs.
pub fn to_rpc_bytes(&self) -> Vec<u8> {
// Convert the tree from [`Frontier`](bridgetree::Frontier) to
// [`CommitmentTree`](merkle_tree::CommitmentTree).
let tree = incrementalmerkletree::frontier::CommitmentTree::from_frontier(&self.inner);
let mut rpc_bytes = vec![];
zcash_primitives::merkle_tree::write_commitment_tree(&tree, &mut rpc_bytes)
.expect("serializable tree");
rpc_bytes
}
}
impl Clone for NoteCommitmentTree {
/// Clones the inner tree, and creates a new `RwLock` with the cloned root data.
fn clone(&self) -> Self {
let cached_root = self.cached_root();
Self {
inner: self.inner.clone(),
cached_root: std::sync::RwLock::new(cached_root),
}
}
}
impl Default for NoteCommitmentTree {
fn default() -> Self {
Self {
inner: bridgetree::Frontier::empty(),
cached_root: Default::default(),
}
}
}
impl Eq for NoteCommitmentTree {}
impl PartialEq for NoteCommitmentTree {
fn eq(&self, other: &Self) -> bool {
if let (Some(root), Some(other_root)) = (self.cached_root(), other.cached_root()) {
// Use cached roots if available
root == other_root
} else {
// Avoid expensive root recalculations which use multiple cryptographic hashes
self.inner == other.inner
}
}
}
impl From<Vec<pallas::Base>> for NoteCommitmentTree {
/// Compute the tree from a whole bunch of note commitments at once.
fn from(values: Vec<pallas::Base>) -> Self {
let mut tree = Self::default();
if values.is_empty() {
return tree;
}
for cm_x in values {
let _ = tree.append(cm_x);
}
tree
}
}