orchard/src/tree.rs

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//! Types related to Orchard note commitment trees and anchors.
use core::iter;
use crate::{
constants::{
sinsemilla::{i2lebsp_k, L_ORCHARD_MERKLE, MERKLE_CRH_PERSONALIZATION},
MERKLE_DEPTH_ORCHARD,
},
note::commitment::ExtractedNoteCommitment,
};
use halo2_gadgets::sinsemilla::primitives::HashDomain;
use incrementalmerkletree::{Hashable, Level};
use pasta_curves::pallas;
use ff::{Field, PrimeField, PrimeFieldBits};
use lazy_static::lazy_static;
use rand::RngCore;
use serde::de::{Deserializer, Error};
use serde::ser::Serializer;
use serde::{Deserialize, Serialize};
use subtle::{Choice, ConditionallySelectable, CtOption};
// The uncommitted leaf is defined as pallas::Base(2).
// <https://zips.z.cash/protocol/protocol.pdf#thmuncommittedorchard>
lazy_static! {
static ref UNCOMMITTED_ORCHARD: pallas::Base = pallas::Base::from(2);
pub(crate) static ref EMPTY_ROOTS: Vec<MerkleHashOrchard> = {
iter::empty()
.chain(Some(MerkleHashOrchard::empty_leaf()))
.chain(
(0..MERKLE_DEPTH_ORCHARD).scan(MerkleHashOrchard::empty_leaf(), |state, l| {
let l = l as u8;
*state = MerkleHashOrchard::combine(l.into(), state, state);
Some(*state)
}),
)
.collect()
};
}
/// The root of an Orchard commitment tree. This must be a value
/// in the range {0..=q_-1}
#[derive(Eq, PartialEq, Clone, Copy, Debug)]
pub struct Anchor(pallas::Base);
impl From<pallas::Base> for Anchor {
fn from(anchor_field: pallas::Base) -> Anchor {
Anchor(anchor_field)
}
}
impl From<MerkleHashOrchard> for Anchor {
fn from(anchor: MerkleHashOrchard) -> Anchor {
Anchor(anchor.0)
}
}
impl Anchor {
pub(crate) fn inner(&self) -> pallas::Base {
self.0
}
}
impl Anchor {
/// Parses an Orchard anchor from a byte encoding.
pub fn from_bytes(bytes: [u8; 32]) -> CtOption<Anchor> {
pallas::Base::from_repr(bytes).map(Anchor)
}
/// Returns the byte encoding of this anchor.
pub fn to_bytes(self) -> [u8; 32] {
self.0.to_repr()
}
}
/// The Merkle path from a leaf of the note commitment tree
/// to its anchor.
#[derive(Debug)]
pub struct MerklePath {
position: u32,
auth_path: [MerkleHashOrchard; MERKLE_DEPTH_ORCHARD],
}
#[cfg(any(test, feature = "test-dependencies"))]
#[cfg_attr(docsrs, doc(cfg(feature = "test-dependencies")))]
impl From<(incrementalmerkletree::Position, Vec<MerkleHashOrchard>)> for MerklePath {
fn from(path: (incrementalmerkletree::Position, Vec<MerkleHashOrchard>)) -> Self {
let position: u64 = path.0.into();
Self {
position: position as u32,
auth_path: path.1.try_into().unwrap(),
}
}
}
impl MerklePath {
/// Generates a dummy Merkle path for use in dummy spent notes.
pub(crate) fn dummy(mut rng: &mut impl RngCore) -> Self {
MerklePath {
position: rng.next_u32(),
auth_path: [(); MERKLE_DEPTH_ORCHARD]
.map(|_| MerkleHashOrchard(pallas::Base::random(&mut rng))),
}
}
/// Instantiates a new Merkle path given a leaf position and authentication path.
pub(crate) fn new(position: u32, auth_path: [pallas::Base; MERKLE_DEPTH_ORCHARD]) -> Self {
Self::from_parts(position, auth_path.map(MerkleHashOrchard))
}
/// Instantiates a new Merkle path given a leaf position and authentication path.
pub fn from_parts(position: u32, auth_path: [MerkleHashOrchard; MERKLE_DEPTH_ORCHARD]) -> Self {
Self {
position,
auth_path,
}
}
/// <https://zips.z.cash/protocol/protocol.pdf#orchardmerklecrh>
/// The layer with 2^n nodes is called "layer n":
/// - leaves are at layer MERKLE_DEPTH_ORCHARD = 32;
/// - the root is at layer 0.
/// `l` is MERKLE_DEPTH_ORCHARD - layer - 1.
/// - when hashing two leaves, we produce a node on the layer above the leaves, i.e.
/// layer = 31, l = 0
/// - when hashing to the final root, we produce the anchor with layer = 0, l = 31.
pub fn root(&self, cmx: ExtractedNoteCommitment) -> Anchor {
self.auth_path
.iter()
.enumerate()
.fold(MerkleHashOrchard::from_cmx(&cmx), |node, (l, sibling)| {
let l = l as u8;
if self.position & (1 << l) == 0 {
MerkleHashOrchard::combine(l.into(), &node, sibling)
} else {
MerkleHashOrchard::combine(l.into(), sibling, &node)
}
})
.into()
}
/// Returns the position of the leaf using this Merkle path.
pub(crate) fn position(&self) -> u32 {
self.position
}
/// Returns the authentication path.
pub(crate) fn auth_path(&self) -> [MerkleHashOrchard; MERKLE_DEPTH_ORCHARD] {
self.auth_path
}
}
/// A newtype wrapper for leaves and internal nodes in the Orchard
/// incremental note commitment tree.
#[derive(Copy, Clone, Debug, PartialEq, Eq, PartialOrd, Ord)]
pub struct MerkleHashOrchard(pallas::Base);
impl MerkleHashOrchard {
/// Creates an incremental tree leaf digest from the specified
/// Orchard extracted note commitment.
pub fn from_cmx(value: &ExtractedNoteCommitment) -> Self {
MerkleHashOrchard(value.inner())
}
/// Only used in the circuit.
pub(crate) fn inner(&self) -> pallas::Base {
self.0
}
/// Convert this digest to its canonical byte representation.
pub fn to_bytes(&self) -> [u8; 32] {
self.0.to_repr()
}
/// Parses a incremental tree leaf digest from the bytes of
/// a note commitment.
///
/// Returns the empty `CtOption` if the provided bytes represent
/// a non-canonical encoding.
pub fn from_bytes(bytes: &[u8; 32]) -> CtOption<Self> {
pallas::Base::from_repr(*bytes).map(MerkleHashOrchard)
}
}
impl ConditionallySelectable for MerkleHashOrchard {
fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self {
MerkleHashOrchard(pallas::Base::conditional_select(&a.0, &b.0, choice))
}
}
impl Hashable for MerkleHashOrchard {
fn empty_leaf() -> Self {
MerkleHashOrchard(*UNCOMMITTED_ORCHARD)
}
/// Implements `MerkleCRH^Orchard` as defined in
/// <https://zips.z.cash/protocol/protocol.pdf#orchardmerklecrh>
///
/// The layer with 2^n nodes is called "layer n":
/// - leaves are at layer MERKLE_DEPTH_ORCHARD = 32;
/// - the root is at layer 0.
/// `l` is MERKLE_DEPTH_ORCHARD - layer - 1.
/// - when hashing two leaves, we produce a node on the layer above the leaves, i.e.
/// layer = 31, l = 0
/// - when hashing to the final root, we produce the anchor with layer = 0, l = 31.
fn combine(level: Level, left: &Self, right: &Self) -> Self {
// MerkleCRH Sinsemilla hash domain.
let domain = HashDomain::new(MERKLE_CRH_PERSONALIZATION);
MerkleHashOrchard(
domain
.hash(
iter::empty()
.chain(i2lebsp_k(level.into()).iter().copied())
.chain(left.0.to_le_bits().iter().by_vals().take(L_ORCHARD_MERKLE))
.chain(right.0.to_le_bits().iter().by_vals().take(L_ORCHARD_MERKLE)),
)
.unwrap_or(pallas::Base::zero()),
)
}
fn empty_root(level: Level) -> Self {
EMPTY_ROOTS[<usize>::from(level)]
}
}
impl Serialize for MerkleHashOrchard {
fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error> {
self.to_bytes().serialize(serializer)
}
}
impl<'de> Deserialize<'de> for MerkleHashOrchard {
fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error> {
let parsed = <[u8; 32]>::deserialize(deserializer)?;
<Option<_>>::from(Self::from_bytes(&parsed)).ok_or_else(|| {
Error::custom(
"Attempted to deserialize a non-canonical representation of a Pallas base field element.",
)
})
}
}
/// Generators for property testing.
#[cfg(any(test, feature = "test-dependencies"))]
#[cfg_attr(docsrs, doc(cfg(feature = "test-dependencies")))]
pub mod testing {
#[cfg(test)]
use {
crate::tree::{MerkleHashOrchard, EMPTY_ROOTS},
bridgetree::{BridgeTree, Frontier as BridgeFrontier},
group::ff::PrimeField,
incrementalmerkletree::Level,
pasta_curves::pallas,
};
#[test]
fn test_vectors() {
let tv_empty_roots = crate::test_vectors::commitment_tree::test_vectors().empty_roots;
for (height, root) in EMPTY_ROOTS.iter().enumerate() {
assert_eq!(tv_empty_roots[height], root.to_bytes());
}
let mut tree = BridgeTree::<MerkleHashOrchard, u32, 4>::new(100, 0);
for (i, tv) in crate::test_vectors::merkle_path::test_vectors()
.into_iter()
.enumerate()
{
let cmx = MerkleHashOrchard::from_bytes(&tv.leaves[i]).unwrap();
tree.append(cmx);
let position = tree.mark().expect("tree is not empty");
assert_eq!(position, i.into());
let root = tree.root(0).unwrap();
assert_eq!(root.0, pallas::Base::from_repr(tv.root).unwrap());
// Check paths for all leaves up to this point. The test vectors include paths
// for not-yet-appended leaves (using UNCOMMITTED_ORCHARD as the leaf value),
// but BridgeTree doesn't encode these.
for j in 0..=i {
assert_eq!(
tree.witness(j.try_into().unwrap(), 0).ok(),
Some(
tv.paths[j]
.iter()
.map(|v| MerkleHashOrchard::from_bytes(v).unwrap())
.collect()
)
);
}
}
}
#[test]
fn empty_roots_incremental() {
use incrementalmerkletree::Hashable;
let tv_empty_roots = crate::test_vectors::commitment_tree::test_vectors().empty_roots;
for (level, tv_root) in tv_empty_roots.iter().enumerate() {
assert_eq!(
MerkleHashOrchard::empty_root(Level::from(level as u8))
.0
.to_repr(),
*tv_root,
"Empty root mismatch at level {}",
level
);
}
}
#[test]
fn anchor_incremental() {
// These commitment values are derived from the bundle data that was generated for
// testing commitment tree construction inside of zcashd here.
// https://github.com/zcash/zcash/blob/ecec1f9769a5e37eb3f7fd89a4fcfb35bc28eed7/src/test/data/merkle_roots_orchard.h
let commitments = [
[
0x68, 0x13, 0x5c, 0xf4, 0x99, 0x33, 0x22, 0x90, 0x99, 0xa4, 0x4e, 0xc9, 0x9a, 0x75,
0xe1, 0xe1, 0xcb, 0x46, 0x40, 0xf9, 0xb5, 0xbd, 0xec, 0x6b, 0x32, 0x23, 0x85, 0x6f,
0xea, 0x16, 0x39, 0x0a,
],
[
0x78, 0x31, 0x50, 0x08, 0xfb, 0x29, 0x98, 0xb4, 0x30, 0xa5, 0x73, 0x1d, 0x67, 0x26,
0x20, 0x7d, 0xc0, 0xf0, 0xec, 0x81, 0xea, 0x64, 0xaf, 0x5c, 0xf6, 0x12, 0x95, 0x69,
0x01, 0xe7, 0x2f, 0x0e,
],
[
0xee, 0x94, 0x88, 0x05, 0x3a, 0x30, 0xc5, 0x96, 0xb4, 0x30, 0x14, 0x10, 0x5d, 0x34,
0x77, 0xe6, 0xf5, 0x78, 0xc8, 0x92, 0x40, 0xd1, 0xd1, 0xee, 0x17, 0x43, 0xb7, 0x7b,
0xb6, 0xad, 0xc4, 0x0a,
],
[
0x9d, 0xdc, 0xe7, 0xf0, 0x65, 0x01, 0xf3, 0x63, 0x76, 0x8c, 0x5b, 0xca, 0x3f, 0x26,
0x46, 0x60, 0x83, 0x4d, 0x4d, 0xf4, 0x46, 0xd1, 0x3e, 0xfc, 0xd7, 0xc6, 0xf1, 0x7b,
0x16, 0x7a, 0xac, 0x1a,
],
[
0xbd, 0x86, 0x16, 0x81, 0x1c, 0x6f, 0x5f, 0x76, 0x9e, 0xa4, 0x53, 0x9b, 0xba, 0xff,
0x0f, 0x19, 0x8a, 0x6c, 0xdf, 0x3b, 0x28, 0x0d, 0xd4, 0x99, 0x26, 0x16, 0x3b, 0xd5,
0x3f, 0x53, 0xa1, 0x21,
],
];
// This value was produced by the Python test vector generation code implemented here:
// https://github.com/zcash-hackworks/zcash-test-vectors/blob/f4d756410c8f2456f5d84cedf6dac6eb8c068eed/orchard_merkle_tree.py
let anchor = [
0xc8, 0x75, 0xbe, 0x2d, 0x60, 0x87, 0x3f, 0x8b, 0xcd, 0xeb, 0x91, 0x28, 0x2e, 0x64,
0x2e, 0x0c, 0xc6, 0x5f, 0xf7, 0xd0, 0x64, 0x2d, 0x13, 0x7b, 0x28, 0xcf, 0x28, 0xcc,
0x9c, 0x52, 0x7f, 0x0e,
];
let mut frontier = BridgeFrontier::<MerkleHashOrchard, 32>::empty();
for commitment in commitments.iter() {
let cmx = MerkleHashOrchard(pallas::Base::from_repr(*commitment).unwrap());
frontier.append(cmx);
}
assert_eq!(frontier.root().0, pallas::Base::from_repr(anchor).unwrap());
}
}