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merkle_tree.rs
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//! Implementation of a Merkle tree of commitments used to prove the existence of notes.
use byteorder::{LittleEndian, ReadBytesExt};
use std::collections::VecDeque;
use std::io::{self, Read, Write};
use crate::sapling::SAPLING_COMMITMENT_TREE_DEPTH;
use crate::serialize::{Optional, Vector};
/// A hashable node within a Merkle tree.
pub trait Hashable: Clone + Copy {
/// Parses a node from the given byte source.
fn read<R: Read>(reader: R) -> io::Result<Self>;
/// Serializes this node.
fn write<W: Write>(&self, writer: W) -> io::Result<()>;
/// Returns the parent node within the tree of the two given nodes.
fn combine(_: usize, _: &Self, _: &Self) -> Self;
/// Returns a blank leaf node.
fn blank() -> Self;
/// Returns the empty root for the given depth.
fn empty_root(_: usize) -> Self;
}
struct PathFiller<Node: Hashable> {
queue: VecDeque<Node>,
}
impl<Node: Hashable> PathFiller<Node> {
fn empty() -> Self {
PathFiller {
queue: VecDeque::new(),
}
}
fn next(&mut self, depth: usize) -> Node {
self.queue
.pop_front()
.unwrap_or_else(|| Node::empty_root(depth))
}
}
/// A Merkle tree of note commitments.
///
/// The depth of the Merkle tree is fixed at 32, equal to the depth of the Sapling
/// commitment tree.
#[derive(Clone, Debug)]
pub struct CommitmentTree<Node: Hashable> {
left: Option<Node>,
right: Option<Node>,
parents: Vec<Option<Node>>,
}
impl<Node: Hashable> CommitmentTree<Node> {
/// Creates an empty tree.
pub fn empty() -> Self {
CommitmentTree {
left: None,
right: None,
parents: vec![],
}
}
/// Reads a `CommitmentTree` from its serialized form.
#[allow(clippy::redundant_closure)]
pub fn read<R: Read>(mut reader: R) -> io::Result<Self> {
let left = Optional::read(&mut reader, |r| Node::read(r))?;
let right = Optional::read(&mut reader, |r| Node::read(r))?;
let parents = Vector::read(&mut reader, |r| Optional::read(r, |r| Node::read(r)))?;
Ok(CommitmentTree {
left,
right,
parents,
})
}
/// Serializes this tree as an array of bytes.
pub fn write<W: Write>(&self, mut writer: W) -> io::Result<()> {
Optional::write(&mut writer, &self.left, |w, n| n.write(w))?;
Optional::write(&mut writer, &self.right, |w, n| n.write(w))?;
Vector::write(&mut writer, &self.parents, |w, e| {
Optional::write(w, e, |w, n| n.write(w))
})
}
/// Returns the number of leaf nodes in the tree.
pub fn size(&self) -> usize {
self.parents.iter().enumerate().fold(
match (self.left, self.right) {
(None, None) => 0,
(Some(_), None) => 1,
(Some(_), Some(_)) => 2,
(None, Some(_)) => unreachable!(),
},
|acc, (i, p)| {
// Treat occupation of parents array as a binary number
// (right-shifted by 1)
acc + if p.is_some() { 1 << (i + 1) } else { 0 }
},
)
}
fn is_complete(&self, depth: usize) -> bool {
self.left.is_some()
&& self.right.is_some()
&& self.parents.len() == depth - 1
&& self.parents.iter().all(|p| p.is_some())
}
/// Adds a leaf node to the tree.
///
/// Returns an error if the tree is full.
pub fn append(&mut self, node: Node) -> Result<(), ()> {
self.append_inner(node, SAPLING_COMMITMENT_TREE_DEPTH)
}
fn append_inner(&mut self, node: Node, depth: usize) -> Result<(), ()> {
if self.is_complete(depth) {
// Tree is full
return Err(());
}
match (self.left, self.right) {
(None, _) => self.left = Some(node),
(_, None) => self.right = Some(node),
(Some(l), Some(r)) => {
let mut combined = Node::combine(0, &l, &r);
self.left = Some(node);
self.right = None;
for i in 0..depth {
if i < self.parents.len() {
if let Some(p) = self.parents[i] {
combined = Node::combine(i + 1, &p, &combined);
self.parents[i] = None;
} else {
self.parents[i] = Some(combined);
break;
}
} else {
self.parents.push(Some(combined));
break;
}
}
}
}
Ok(())
}
/// Returns the current root of the tree.
pub fn root(&self) -> Node {
self.root_inner(SAPLING_COMMITMENT_TREE_DEPTH, PathFiller::empty())
}
fn root_inner(&self, depth: usize, mut filler: PathFiller<Node>) -> Node {
assert!(depth > 0);
// 1) Hash left and right leaves together.
// - Empty leaves are used as needed.
let leaf_root = Node::combine(
0,
&self.left.unwrap_or_else(|| filler.next(0)),
&self.right.unwrap_or_else(|| filler.next(0)),
);
// 2) Hash in parents up to the currently-filled depth.
// - Roots of the empty subtrees are used as needed.
let mid_root = self
.parents
.iter()
.enumerate()
.fold(leaf_root, |root, (i, p)| match p {
Some(node) => Node::combine(i + 1, node, &root),
None => Node::combine(i + 1, &root, &filler.next(i + 1)),
});
// 3) Hash in roots of the empty subtrees up to the final depth.
((self.parents.len() + 1)..depth)
.fold(mid_root, |root, d| Node::combine(d, &root, &filler.next(d)))
}
}
/// An updatable witness to a path from a position in a particular [`CommitmentTree`].
///
/// Appending the same commitments in the same order to both the original
/// [`CommitmentTree`] and this `IncrementalWitness` will result in a witness to the path
/// from the target position to the root of the updated tree.
///
/// # Examples
///
/// ```
/// use ff::{Field, PrimeField};
/// use rand_core::OsRng;
/// use zcash_primitives::{
/// merkle_tree::{CommitmentTree, IncrementalWitness},
/// sapling::Node,
/// };
///
/// let mut rng = OsRng;
///
/// let mut tree = CommitmentTree::<Node>::empty();
///
/// tree.append(Node::new(bls12_381::Scalar::random(&mut rng).to_repr()));
/// tree.append(Node::new(bls12_381::Scalar::random(&mut rng).to_repr()));
/// let mut witness = IncrementalWitness::from_tree(&tree);
/// assert_eq!(witness.position(), 1);
/// assert_eq!(tree.root(), witness.root());
///
/// let cmu = Node::new(bls12_381::Scalar::random(&mut rng).to_repr());
/// tree.append(cmu);
/// witness.append(cmu);
/// assert_eq!(tree.root(), witness.root());
/// ```
#[derive(Clone)]
pub struct IncrementalWitness<Node: Hashable> {
tree: CommitmentTree<Node>,
filled: Vec<Node>,
cursor_depth: usize,
cursor: Option<CommitmentTree<Node>>,
}
impl<Node: Hashable> IncrementalWitness<Node> {
/// Creates an `IncrementalWitness` for the most recent commitment added to the given
/// [`CommitmentTree`].
pub fn from_tree(tree: &CommitmentTree<Node>) -> IncrementalWitness<Node> {
IncrementalWitness {
tree: tree.clone(),
filled: vec![],
cursor_depth: 0,
cursor: None,
}
}
/// Reads an `IncrementalWitness` from its serialized form.
#[allow(clippy::redundant_closure)]
pub fn read<R: Read>(mut reader: R) -> io::Result<Self> {
let tree = CommitmentTree::read(&mut reader)?;
let filled = Vector::read(&mut reader, |r| Node::read(r))?;
let cursor = Optional::read(&mut reader, |r| CommitmentTree::read(r))?;
let mut witness = IncrementalWitness {
tree,
filled,
cursor_depth: 0,
cursor,
};
witness.cursor_depth = witness.next_depth();
Ok(witness)
}
/// Serializes this `IncrementalWitness` as an array of bytes.
pub fn write<W: Write>(&self, mut writer: W) -> io::Result<()> {
self.tree.write(&mut writer)?;
Vector::write(&mut writer, &self.filled, |w, n| n.write(w))?;
Optional::write(&mut writer, &self.cursor, |w, t| t.write(w))
}
/// Returns the position of the witnessed leaf node in the commitment tree.
pub fn position(&self) -> usize {
self.tree.size() - 1
}
fn filler(&self) -> PathFiller<Node> {
let cursor_root = self
.cursor
.as_ref()
.map(|c| c.root_inner(self.cursor_depth, PathFiller::empty()));
PathFiller {
queue: self.filled.iter().cloned().chain(cursor_root).collect(),
}
}
/// Finds the next "depth" of an unfilled subtree.
fn next_depth(&self) -> usize {
let mut skip = self.filled.len();
if self.tree.left.is_none() {
if skip > 0 {
skip -= 1;
} else {
return 0;
}
}
if self.tree.right.is_none() {
if skip > 0 {
skip -= 1;
} else {
return 0;
}
}
let mut d = 1;
for p in &self.tree.parents {
if p.is_none() {
if skip > 0 {
skip -= 1;
} else {
return d;
}
}
d += 1;
}
d + skip
}
/// Tracks a leaf node that has been added to the underlying tree.
///
/// Returns an error if the tree is full.
pub fn append(&mut self, node: Node) -> Result<(), ()> {
self.append_inner(node, SAPLING_COMMITMENT_TREE_DEPTH)
}
fn append_inner(&mut self, node: Node, depth: usize) -> Result<(), ()> {
if let Some(mut cursor) = self.cursor.take() {
cursor
.append_inner(node, depth)
.expect("cursor should not be full");
if cursor.is_complete(self.cursor_depth) {
self.filled
.push(cursor.root_inner(self.cursor_depth, PathFiller::empty()));
} else {
self.cursor = Some(cursor);
}
} else {
self.cursor_depth = self.next_depth();
if self.cursor_depth >= depth {
// Tree is full
return Err(());
}
if self.cursor_depth == 0 {
self.filled.push(node);
} else {
let mut cursor = CommitmentTree::empty();
cursor
.append_inner(node, depth)
.expect("cursor should not be full");
self.cursor = Some(cursor);
}
}
Ok(())
}
/// Returns the current root of the tree corresponding to the witness.
pub fn root(&self) -> Node {
self.root_inner(SAPLING_COMMITMENT_TREE_DEPTH)
}
fn root_inner(&self, depth: usize) -> Node {
self.tree.root_inner(depth, self.filler())
}
/// Returns the current witness, or None if the tree is empty.
pub fn path(&self) -> Option<MerklePath<Node>> {
self.path_inner(SAPLING_COMMITMENT_TREE_DEPTH)
}
fn path_inner(&self, depth: usize) -> Option<MerklePath<Node>> {
let mut filler = self.filler();
let mut auth_path = Vec::new();
if let Some(node) = self.tree.left {
if self.tree.right.is_some() {
auth_path.push((node, true));
} else {
auth_path.push((filler.next(0), false));
}
} else {
// Can't create an authentication path for the beginning of the tree
return None;
}
for (i, p) in self.tree.parents.iter().enumerate() {
auth_path.push(match p {
Some(node) => (*node, true),
None => (filler.next(i + 1), false),
});
}
for i in self.tree.parents.len()..(depth - 1) {
auth_path.push((filler.next(i + 1), false));
}
assert_eq!(auth_path.len(), depth);
Some(MerklePath::from_path(auth_path, self.position() as u64))
}
}
/// A path from a position in a particular commitment tree to the root of that tree.
#[derive(Clone, Debug, PartialEq)]
pub struct MerklePath<Node: Hashable> {
pub auth_path: Vec<(Node, bool)>,
pub position: u64,
}
impl<Node: Hashable> MerklePath<Node> {
/// Constructs a Merkle path directly from a path and position.
pub fn from_path(auth_path: Vec<(Node, bool)>, position: u64) -> Self {
MerklePath {
auth_path,
position,
}
}
/// Reads a Merkle path from its serialized form.
pub fn from_slice(witness: &[u8]) -> Result<Self, ()> {
Self::from_slice_with_depth(witness, SAPLING_COMMITMENT_TREE_DEPTH)
}
fn from_slice_with_depth(mut witness: &[u8], depth: usize) -> Result<Self, ()> {
// Skip the first byte, which should be "depth" to signify the length of
// the following vector of Pedersen hashes.
if witness[0] != depth as u8 {
return Err(());
}
witness = &witness[1..];
// Begin to construct the authentication path
let iter = witness.chunks_exact(33);
witness = iter.remainder();
// The vector works in reverse
let mut auth_path = iter
.rev()
.map(|bytes| {
// Length of inner vector should be the length of a Pedersen hash
if bytes[0] == 32 {
// Sibling node should be an element of Fr
Node::read(&bytes[1..])
.map(|sibling| {
// Set the value in the auth path; we put false here
// for now (signifying the position bit) which we'll
// fill in later.
(sibling, false)
})
.map_err(|_| ())
} else {
Err(())
}
})
.collect::<Result<Vec<_>, _>>()?;
if auth_path.len() != depth {
return Err(());
}
// Read the position from the witness
let position = witness.read_u64::<LittleEndian>().map_err(|_| ())?;
// Given the position, let's finish constructing the authentication
// path
let mut tmp = position;
for entry in auth_path.iter_mut() {
entry.1 = (tmp & 1) == 1;
tmp >>= 1;
}
// The witness should be empty now; if it wasn't, the caller would
// have provided more information than they should have, indicating
// a bug downstream
if witness.is_empty() {
Ok(MerklePath {
auth_path,
position,
})
} else {
Err(())
}
}
/// Returns the root of the tree corresponding to this path applied to `leaf`.
pub fn root(&self, leaf: Node) -> Node {
self.auth_path
.iter()
.enumerate()
.fold(
leaf,
|root, (i, (p, leaf_is_on_right))| match leaf_is_on_right {
false => Node::combine(i, &root, p),
true => Node::combine(i, p, &root),
},
)
}
}
#[cfg(test)]
mod tests {
use super::{CommitmentTree, Hashable, IncrementalWitness, MerklePath, PathFiller};
use crate::sapling::Node;
use std::convert::TryInto;
use std::io::{self, Read, Write};
const HEX_EMPTY_ROOTS: [&str; 33] = [
"0100000000000000000000000000000000000000000000000000000000000000",
"817de36ab2d57feb077634bca77819c8e0bd298c04f6fed0e6a83cc1356ca155",
"ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e34",
"d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c",
"e110de65c907b9dea4ae0bd83a4b0a51bea175646a64c12b4c9f931b2cb31b49",
"912d82b2c2bca231f71efcf61737fbf0a08befa0416215aeef53e8bb6d23390a",
"8ac9cf9c391e3fd42891d27238a81a8a5c1d3a72b1bcbea8cf44a58ce7389613",
"d6c639ac24b46bd19341c91b13fdcab31581ddaf7f1411336a271f3d0aa52813",
"7b99abdc3730991cc9274727d7d82d28cb794edbc7034b4f0053ff7c4b680444",
"43ff5457f13b926b61df552d4e402ee6dc1463f99a535f9a713439264d5b616b",
"ba49b659fbd0b7334211ea6a9d9df185c757e70aa81da562fb912b84f49bce72",
"4777c8776a3b1e69b73a62fa701fa4f7a6282d9aee2c7a6b82e7937d7081c23c",
"ec677114c27206f5debc1c1ed66f95e2b1885da5b7be3d736b1de98579473048",
"1b77dac4d24fb7258c3c528704c59430b630718bec486421837021cf75dab651",
"bd74b25aacb92378a871bf27d225cfc26baca344a1ea35fdd94510f3d157082c",
"d6acdedf95f608e09fa53fb43dcd0990475726c5131210c9e5caeab97f0e642f",
"1ea6675f9551eeb9dfaaa9247bc9858270d3d3a4c5afa7177a984d5ed1be2451",
"6edb16d01907b759977d7650dad7e3ec049af1a3d875380b697c862c9ec5d51c",
"cd1c8dbf6e3acc7a80439bc4962cf25b9dce7c896f3a5bd70803fc5a0e33cf00",
"6aca8448d8263e547d5ff2950e2ed3839e998d31cbc6ac9fd57bc6002b159216",
"8d5fa43e5a10d11605ac7430ba1f5d81fb1b68d29a640405767749e841527673",
"08eeab0c13abd6069e6310197bf80f9c1ea6de78fd19cbae24d4a520e6cf3023",
"0769557bc682b1bf308646fd0b22e648e8b9e98f57e29f5af40f6edb833e2c49",
"4c6937d78f42685f84b43ad3b7b00f81285662f85c6a68ef11d62ad1a3ee0850",
"fee0e52802cb0c46b1eb4d376c62697f4759f6c8917fa352571202fd778fd712",
"16d6252968971a83da8521d65382e61f0176646d771c91528e3276ee45383e4a",
"d2e1642c9a462229289e5b0e3b7f9008e0301cbb93385ee0e21da2545073cb58",
"a5122c08ff9c161d9ca6fc462073396c7d7d38e8ee48cdb3bea7e2230134ed6a",
"28e7b841dcbc47cceb69d7cb8d94245fb7cb2ba3a7a6bc18f13f945f7dbd6e2a",
"e1f34b034d4a3cd28557e2907ebf990c918f64ecb50a94f01d6fda5ca5c7ef72",
"12935f14b676509b81eb49ef25f39269ed72309238b4c145803544b646dca62d",
"b2eed031d4d6a4f02a097f80b54cc1541d4163c6b6f5971f88b6e41d35c53814",
"fbc2f4300c01f0b7820d00e3347c8da4ee614674376cbc45359daa54f9b5493e",
];
const TESTING_DEPTH: usize = 4;
struct TestCommitmentTree(CommitmentTree<Node>);
impl TestCommitmentTree {
fn new() -> Self {
TestCommitmentTree(CommitmentTree::empty())
}
pub fn read<R: Read>(reader: R) -> io::Result<Self> {
let tree = CommitmentTree::read(reader)?;
Ok(TestCommitmentTree(tree))
}
pub fn write<W: Write>(&self, writer: W) -> io::Result<()> {
self.0.write(writer)
}
fn size(&self) -> usize {
self.0.size()
}
fn append(&mut self, node: Node) -> Result<(), ()> {
self.0.append_inner(node, TESTING_DEPTH)
}
fn root(&self) -> Node {
self.0.root_inner(TESTING_DEPTH, PathFiller::empty())
}
}
struct TestIncrementalWitness(IncrementalWitness<Node>);
impl TestIncrementalWitness {
fn from_tree(tree: &TestCommitmentTree) -> Self {
TestIncrementalWitness(IncrementalWitness::from_tree(&tree.0))
}
pub fn read<R: Read>(reader: R) -> io::Result<Self> {
let witness = IncrementalWitness::read(reader)?;
Ok(TestIncrementalWitness(witness))
}
pub fn write<W: Write>(&self, writer: W) -> io::Result<()> {
self.0.write(writer)
}
fn append(&mut self, node: Node) -> Result<(), ()> {
self.0.append_inner(node, TESTING_DEPTH)
}
fn root(&self) -> Node {
self.0.root_inner(TESTING_DEPTH)
}
fn path(&self) -> Option<MerklePath<Node>> {
self.0.path_inner(TESTING_DEPTH)
}
}
#[test]
fn empty_root_test_vectors() {
let mut tmp = [0u8; 32];
for (i, &expected) in HEX_EMPTY_ROOTS.iter().enumerate() {
Node::empty_root(i)
.write(&mut tmp[..])
.expect("length is 32 bytes");
assert_eq!(hex::encode(tmp), expected);
}
}
#[test]
fn sapling_empty_root() {
let mut tmp = [0u8; 32];
CommitmentTree::<Node>::empty()
.root()
.write(&mut tmp[..])
.expect("length is 32 bytes");
assert_eq!(
hex::encode(tmp),
"fbc2f4300c01f0b7820d00e3347c8da4ee614674376cbc45359daa54f9b5493e"
);
}
#[test]
fn empty_commitment_tree_roots() {
let tree = CommitmentTree::<Node>::empty();
let mut tmp = [0u8; 32];
for (i, &expected) in HEX_EMPTY_ROOTS.iter().enumerate().skip(1) {
tree.root_inner(i, PathFiller::empty())
.write(&mut tmp[..])
.expect("length is 32 bytes");
assert_eq!(hex::encode(tmp), expected);
}
}
#[test]
fn test_sapling_tree() {
// From https://github.com/zcash/zcash/blob/master/src/test/data/merkle_commitments_sapling.json
// Byte-reversed because the original test vectors are loaded using uint256S()
let commitments = [
"b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55",
"225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458",
"7c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c",
"50421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030",
"aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc12",
"f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a02",
"bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e",
"da1adda2ccde9381e11151686c121e7f52d19a990439161c7eb5a9f94be5a511",
"3a27fed5dbbc475d3880360e38638c882fd9b273b618fc433106896083f77446",
"c7ca8f7df8fd997931d33985d935ee2d696856cc09cc516d419ea6365f163008",
"f0fa37e8063b139d342246142fc48e7c0c50d0a62c97768589e06466742c3702",
"e6d4d7685894d01b32f7e081ab188930be6c2b9f76d6847b7f382e3dddd7c608",
"8cebb73be883466d18d3b0c06990520e80b936440a2c9fd184d92a1f06c4e826",
"22fab8bcdb88154dbf5877ad1e2d7f1b541bc8a5ec1b52266095381339c27c03",
"f43e3aac61e5a753062d4d0508c26ceaf5e4c0c58ba3c956e104b5d2cf67c41c",
"3a3661bc12b72646c94bc6c92796e81953985ee62d80a9ec3645a9a95740ac15",
];
// From https://github.com/zcash/zcash/blob/master/src/test/data/merkle_roots_sapling.json
let roots = [
"8c3daa300c9710bf24d2595536e7c80ff8d147faca726636d28e8683a0c27703",
"8611f17378eb55e8c3c3f0a5f002e2b0a7ca39442fc928322b8072d1079c213d",
"3db73b998d536be0e1c2ec124df8e0f383ae7b602968ff6a5276ca0695023c46",
"7ac2e6442fec5970e116dfa4f2ee606f395366cafb1fa7dfd6c3de3ce18c4363",
"6a8f11ab2a11c262e39ed4ea3825ae6c94739ccf94479cb69402c5722b034532",
"149595eed0b54a7e694cc8a68372525b9ae2c7b102514f527460db91eb690565",
"8c0432f1994a2381a7a4b5fda770336011f9e0b30784f9a5597901619c797045",
"e780c48d70420601f3313ff8488d7766b70c059c53aa3cda2ff1ef57ff62383c",
"f919f03caaed8a2c60f58c0d43838f83e670dc7e8ccd25daa04a13f3e8f45541",
"74f32b36629724038e71cbd6823b5a666440205a7d1a9242e95870b53d81f34a",
"a4af205a4e1ee02102866b23a68930ac33efda9235832f49b17fcc4939be4525",
"a946a42f1636045a16e65b2308e036d9da70089686c87c692e45912bd1cab772",
"a1db2dbac055364c1cb43cbeb49c7e2815bff855122602a2ad0fb981a91e0e39",
"16329b3ba4f0640f4d306532d9ea6ba0fbf0e70e44ed57d27b4277ed9cda6849",
"7b6523b2d9b23f72fec6234aa6a1f8fae3dba1c6a266023ea8b1826feba7a25c",
"5c0bea7e17bde5bee4eb795c2eec3d389a68da587b36dd687b134826ecc09308",
];
// From https://github.com/zcash/zcash/blob/master/src/test/data/merkle_serialization_sapling.json
let tree_ser = [
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550000",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b1145800",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c00010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc12000200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564",
"01bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e000201eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564",
"01bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e01da1adda2ccde9381e11151686c121e7f52d19a990439161c7eb5a9f94be5a5110201eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564",
"013a27fed5dbbc475d3880360e38638c882fd9b273b618fc433106896083f7744600030000010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"013a27fed5dbbc475d3880360e38638c882fd9b273b618fc433106896083f7744601c7ca8f7df8fd997931d33985d935ee2d696856cc09cc516d419ea6365f163008030000010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"01f0fa37e8063b139d342246142fc48e7c0c50d0a62c97768589e06466742c3702000301cca46d2249e0d79669b8ad2e8c3fc5e67a8501112aa4e572fe03a1868ef3173200010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"01f0fa37e8063b139d342246142fc48e7c0c50d0a62c97768589e06466742c370201e6d4d7685894d01b32f7e081ab188930be6c2b9f76d6847b7f382e3dddd7c6080301cca46d2249e0d79669b8ad2e8c3fc5e67a8501112aa4e572fe03a1868ef3173200010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"018cebb73be883466d18d3b0c06990520e80b936440a2c9fd184d92a1f06c4e82600030001002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"018cebb73be883466d18d3b0c06990520e80b936440a2c9fd184d92a1f06c4e8260122fab8bcdb88154dbf5877ad1e2d7f1b541bc8a5ec1b52266095381339c27c03030001002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"01f43e3aac61e5a753062d4d0508c26ceaf5e4c0c58ba3c956e104b5d2cf67c41c0003015991131c5c25911b35fcea2a8343e2dfd7a4d5b45493390e0cb184394d91c34901002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
"01f43e3aac61e5a753062d4d0508c26ceaf5e4c0c58ba3c956e104b5d2cf67c41c013a3661bc12b72646c94bc6c92796e81953985ee62d80a9ec3645a9a95740ac1503015991131c5c25911b35fcea2a8343e2dfd7a4d5b45493390e0cb184394d91c34901002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d",
];
// From https://github.com/zcash/zcash/blob/master/src/test/data/merkle_path_sapling.json
let paths = [
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e3420817de36ab2d57feb077634bca77819c8e0bd298c04f6fed0e6a83cc1356ca15520225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e342037b3a0921a4047e617bde62b8958f86c010e6af6cc650959b9f50af8c7e8392620225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e342037b3a0921a4047e617bde62b8958f86c010e6af6cc650959b9f50af8c7e8392620b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e3420f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e3420f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20ffe9fc03f18b176c998806439ff0bb8ad193afdb27b2ccbc88856916dd804e342062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f1740220f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f1740220f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f174022062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c2031d39685384e4ea322594d99a15aa8bdd8cc5cd6724410fa385b8d5447f174022062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666207c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0300000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c157320f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580000000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c157320f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826420b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f550100000000000000",
"0420d8283386ef2ef07ebdbb4383c12a739a953a4d6e0d6fb1139a4036d693bfbb6c20f0321eea8e13c2f3a567f894c9738759d9d01e64ec259caf2cecca61374c15732062324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6662050421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300200000000000000",
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"04201d73ff8e39cff60ff0d6402cc752a3351f1b434dccfa1941da3b1e422b73a33c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656420d0c26e22b78df58552b4fd61e8883a70f9011556b2e14b80ff23c591db7dbc4c20f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020400000000000000",
"04201d73ff8e39cff60ff0d6402cc752a3351f1b434dccfa1941da3b1e422b73a33c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656420d0c26e22b78df58552b4fd61e8883a70f9011556b2e14b80ff23c591db7dbc4c20aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120500000000000000",
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"04201d73ff8e39cff60ff0d6402cc752a3351f1b434dccfa1941da3b1e422b73a33c201fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656420eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd72420bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e0700000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20076795f3651049c8895a7d127eb9bb4a17698da400430b33fdd06b1d8160394020635c0b1b8035705127dc3f672191b4958ad331f9134117e3ba7d721f712b614420c7ca8f7df8fd997931d33985d935ee2d696856cc09cc516d419ea6365f1630080800000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20076795f3651049c8895a7d127eb9bb4a17698da400430b33fdd06b1d8160394020635c0b1b8035705127dc3f672191b4958ad331f9134117e3ba7d721f712b6144203a27fed5dbbc475d3880360e38638c882fd9b273b618fc433106896083f774460900000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20076795f3651049c8895a7d127eb9bb4a17698da400430b33fdd06b1d8160394020cca46d2249e0d79669b8ad2e8c3fc5e67a8501112aa4e572fe03a1868ef3173220e6d4d7685894d01b32f7e081ab188930be6c2b9f76d6847b7f382e3dddd7c6080a00000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20076795f3651049c8895a7d127eb9bb4a17698da400430b33fdd06b1d8160394020cca46d2249e0d79669b8ad2e8c3fc5e67a8501112aa4e572fe03a1868ef3173220f0fa37e8063b139d342246142fc48e7c0c50d0a62c97768589e06466742c37020b00000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c20afa80a9a1bb8b6aad144cfb53e0bab004dd541c8b72025ae694bb60d6050a5322022fab8bcdb88154dbf5877ad1e2d7f1b541bc8a5ec1b52266095381339c27c030c00000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c20afa80a9a1bb8b6aad144cfb53e0bab004dd541c8b72025ae694bb60d6050a532208cebb73be883466d18d3b0c06990520e80b936440a2c9fd184d92a1f06c4e8260d00000000000000",
"04200d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d20002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c205991131c5c25911b35fcea2a8343e2dfd7a4d5b45493390e0cb184394d91c349203a3661bc12b72646c94bc6c92796e81953985ee62d80a9ec3645a9a95740ac150e00000000000000",
];
// From https://github.com/zcash/zcash/blob/master/src/test/data/merkle_witness_serialization_sapling.json
let witness_ser = [
"00000001b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5500",
"00000002b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b1145800",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000001225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b1145800",
"00000002b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b1145801017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0000",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000001225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b1145801017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0000",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458000001017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0000",
"00000003b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826400",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000002225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826400",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580001f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a826400",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c00010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6660150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a03000",
"00000003b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120000",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000002225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120000",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580001f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120000",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c00010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6660150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120000",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666000101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc120000",
"00000003b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a0200",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000002225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a0200",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580001f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a0200",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c00010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6660150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a0200",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666000101aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a0200",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc12000200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656401f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a0200",
"00000003b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e000101eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000002225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e000101eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580001f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a82640101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e000101eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c00010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6660150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a0300101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e000101eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e666000101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e000101eb97b35d826f55a65e23ea7febf38fadea8517312ca79346c129a277260fd724",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc12000200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656401f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e0000",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f655186564000101bc8a5ec71647415c380203b681f7717366f3501661512225b6dc3e121efc0b2e0000",
"00000004b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a8264130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2400",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f55000003225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b11458f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a8264130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2400",
"01b02310f2e087e55bfd07ef5e242e3b87ee5d00c9ab52f61e6bd42542f93a6f5501225747f3b5d5dab4e5a424f81f85c904ff43286e0f3fd07ef0b8c6a627b114580002f2c6ff34520c4ed63159b5ad4e99712fe64e3b4add73c66218e9797ac15a8264130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2400",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c00010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e6660250421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2400",
"017c3ea01a6e3a3d90cf59cd789e467044b5cd78eb2c84cc6816f960746d0e036c0150421d6c2c94571dfaaa135a4ff15bf916681ebd62c0e43e69e3b90684d0a030010162324ff2c329e99193a74d28a585a3c167a93bf41a255135529c913bd9b1e66601130adab3afe0931c42f058efb1381c2dce6cc768ad7964330146bf88b2b34f2400",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc12000200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656402f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a02d0c26e22b78df58552b4fd61e8883a70f9011556b2e14b80ff23c591db7dbc4c00",
"01aaec63863aaa0b2e3b8009429bdddd455e59be6f40ccab887a32eb98723efc1201f76748d40d5ee5f9a608512e7954dd515f86e8f6d009141c89163de1cf351a020200011fb189b02ad2f7c6b0d09bd5691c4896c28269da3d4ba768b1b446f65518656401d0c26e22b78df58552b4fd61e8883a70f9011556b2e14b80ff23c591db7dbc4c00",
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"01f43e3aac61e5a753062d4d0508c26ceaf5e4c0c58ba3c956e104b5d2cf67c41c0003015991131c5c25911b35fcea2a8343e2dfd7a4d5b45493390e0cb184394d91c34901002df68503da9247dfde6585cb8c9fa94897cf21735f8fc1b32116ef474de05c010d6b42350c11df4fcc17987c13d8492ba4e8b3f31eb9baff9be5d8890cfa512d013a3661bc12b72646c94bc6c92796e81953985ee62d80a9ec3645a9a95740ac1500",
];
fn assert_root_eq(root: Node, expected: &str) {
let mut tmp = [0u8; 32];
root.write(&mut tmp[..]).expect("length is 32 bytes");
assert_eq!(hex::encode(tmp), expected);
}
fn assert_tree_ser_eq(tree: &TestCommitmentTree, expected: &str) {
// Check that the tree matches its encoding
let mut tmp = Vec::new();
tree.write(&mut tmp).unwrap();
assert_eq!(hex::encode(&tmp[..]), expected);
// Check round-trip encoding
let decoded = TestCommitmentTree::read(&hex::decode(expected).unwrap()[..]).unwrap();
tmp.clear();
decoded.write(&mut tmp).unwrap();
assert_eq!(hex::encode(tmp), expected);
}
fn assert_witness_ser_eq(witness: &TestIncrementalWitness, expected: &str) {
// Check that the witness matches its encoding
let mut tmp = Vec::new();
witness.write(&mut tmp).unwrap();
assert_eq!(hex::encode(&tmp[..]), expected);
// Check round-trip encoding
let decoded =
TestIncrementalWitness::read(&hex::decode(expected).unwrap()[..]).unwrap();
tmp.clear();
decoded.write(&mut tmp).unwrap();
assert_eq!(hex::encode(tmp), expected);
}
let mut tree = TestCommitmentTree::new();
assert_eq!(tree.size(), 0);
let mut witnesses = vec![];
let mut last_cmu = None;