//! 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). // lazy_static! { static ref UNCOMMITTED_ORCHARD: pallas::Base = pallas::Base::from(2); pub(crate) static ref EMPTY_ROOTS: Vec = { 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_ℙ-1} #[derive(Eq, PartialEq, Clone, Copy, Debug)] pub struct Anchor(pallas::Base); impl From for Anchor { fn from(anchor_field: pallas::Base) -> Anchor { Anchor(anchor_field) } } impl From 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 { 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)> for MerklePath { fn from(path: (incrementalmerkletree::Position, Vec)) -> 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, } } /// /// 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 { 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 /// /// /// 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[::from(level)] } } impl Serialize for MerkleHashOrchard { fn serialize(&self, serializer: S) -> Result { self.to_bytes().serialize(serializer) } } impl<'de> Deserialize<'de> for MerkleHashOrchard { fn deserialize>(deserializer: D) -> Result { let parsed = <[u8; 32]>::deserialize(deserializer)?; >::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::::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::::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()); } }