Trait bridgetree::Hashable
source · pub trait Hashable: Sized {
fn empty_leaf() -> Self;
fn combine(level: Level, a: &Self, b: &Self) -> Self;
fn empty_root(level: Level) -> Self { ... }
}
Expand description
A trait describing the operations that make a type suitable for use as a leaf or node value in a merkle tree.
Required Methods§
Provided Methods§
sourcefn empty_root(level: Level) -> Self
fn empty_root(level: Level) -> Self
Examples found in repository?
src/lib.rs (line 200)
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pub fn root(&self, root_level: Option<Level>) -> H {
let max_level = root_level.unwrap_or_else(|| self.position.root_level());
self.position
.witness_addrs(max_level)
.fold(
(self.leaf.clone(), Level::from(0)),
|(digest, complete_lvl), (addr, source)| {
// fold up from complete_lvl to addr.level() pairing with empty roots; if
// complete_lvl == addr.level() this is just the complete digest to this point
let digest = complete_lvl
.iter_to(addr.level())
.fold(digest, |d, l| H::combine(l, &d, &H::empty_root(l)));
let res_digest = match source {
Source::Past(i) => H::combine(addr.level(), &self.ommers[i], &digest),
Source::Future => {
H::combine(addr.level(), &digest, &H::empty_root(addr.level()))
}
};
(res_digest, addr.level() + 1)
},
)
.0
}
/// Constructs a witness for the leaf at the tip of this
/// frontier, given a source of node values that complement this frontier.
pub fn witness<F>(&self, depth: u8, bridge_value_at: F) -> Result<Vec<H>, WitnessingError>
where
F: Fn(Address) -> Option<H>,
{
// construct a complete trailing edge that includes the data from
// the following frontier not yet included in the trailing edge.
self.position()
.witness_addrs(depth.into())
.map(|(addr, source)| match source {
Source::Past(i) => Ok(self.ommers[i].clone()),
Source::Future => {
bridge_value_at(addr).ok_or(WitnessingError::BridgeAddressInvalid(addr))
}
})
.collect::<Result<Vec<_>, _>>()
}
}
/// A possibly-empty Merkle frontier.
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub struct Frontier<H, const DEPTH: u8> {
frontier: Option<NonEmptyFrontier<H>>,
}
impl<H, const DEPTH: u8> TryFrom<NonEmptyFrontier<H>> for Frontier<H, DEPTH> {
type Error = FrontierError;
fn try_from(f: NonEmptyFrontier<H>) -> Result<Self, FrontierError> {
if f.position.root_level() <= Level::from(DEPTH) {
Ok(Frontier { frontier: Some(f) })
} else {
Err(FrontierError::MaxDepthExceeded {
depth: f.position.root_level().into(),
})
}
}
}
impl<H, const DEPTH: u8> Frontier<H, DEPTH> {
/// Constructs a new empty frontier.
pub fn empty() -> Self {
Self { frontier: None }
}
/// Constructs a new frontier from its constituent parts.
///
/// Returns `None` if the new frontier would exceed the maximum
/// allowed depth or if the list of ommers provided is not consistent
/// with the position of the leaf.
pub fn from_parts(position: Position, leaf: H, ommers: Vec<H>) -> Result<Self, FrontierError> {
NonEmptyFrontier::from_parts(position, leaf, ommers).and_then(Self::try_from)
}
/// Return the wrapped NonEmptyFrontier reference, or None if
/// the frontier is empty.
pub fn value(&self) -> Option<&NonEmptyFrontier<H>> {
self.frontier.as_ref()
}
/// Returns the amount of memory dynamically allocated for ommer
/// values within the frontier.
pub fn dynamic_memory_usage(&self) -> usize {
self.frontier.as_ref().map_or(0, |f| {
size_of::<usize>() + (f.ommers.capacity() + 1) * size_of::<H>()
})
}
}
impl<H: Hashable + Clone, const DEPTH: u8> Frontier<H, DEPTH> {
/// Appends a new value to the frontier at the next available slot.
/// Returns true if successful and false if the frontier would exceed
/// the maximum allowed depth.
pub fn append(&mut self, value: &H) -> bool {
if let Some(frontier) = self.frontier.as_mut() {
if frontier.position().is_complete_subtree(DEPTH.into()) {
false
} else {
frontier.append(value.clone());
true
}
} else {
self.frontier = Some(NonEmptyFrontier::new(value.clone()));
true
}
}
/// Obtains the current root of this Merkle frontier by hashing
/// against empty nodes up to the maximum height of the pruned
/// tree that the frontier represents.
pub fn root(&self) -> H {
self.frontier
.as_ref()
.map_or(H::empty_root(DEPTH.into()), |frontier| {
frontier.root(Some(DEPTH.into()))
})
}
}
/// The information required to "update" witnesses from one state of a Merkle tree to another.
///
/// The witness for a particular leaf of a Merkle tree consists of the siblings of that leaf, plus
/// the siblings of the parents of that leaf in a path to the root of the tree. When considering a
/// Merkle tree where leaves are appended to the tree in a linear fashion (rather than being
/// inserted at arbitrary positions), we often wish to produce a witness for a leaf that was
/// appended to the tree at some point in the past. A [`MerkleBridge`] from one position in the
/// tree to another position in the tree contains the minimal amount of information necessary to
/// produce a witness for the leaf at the former position, given that leaves have been subsequently
/// appended to reach the current position.
///
/// [`MerkleBridge`] values have a semigroup, such that the sum (`fuse`d) value of two successive
/// bridges, along with a [`NonEmptyFrontier`] with its tip at the prior position of the first bridge
/// being fused, can be used to produce a witness for the leaf at the tip of the prior frontier.
#[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)]
pub struct MerkleBridge<H> {
/// The position of the final leaf in the frontier of the bridge that this bridge is the
/// successor of, or None if this is the first bridge in a tree.
prior_position: Option<Position>,
/// The set of addresses for which we are waiting to discover the ommers. The values of this
/// set and the keys of the `need` map should always be disjoint. Also, this set should
/// never contain an address for which the sibling value has been discovered; at that point,
/// the address is replaced in this set with its parent and the address/sibling pair is stored
/// in `ommers`.
///
/// Another way to consider the contents of this set is that the values that exist in
/// `ommers`, combined with the values in previous bridges' `ommers` and an original leaf
/// node, already contain all the values needed to compute the value at the given address.
/// Therefore, we are tracking that address as we do not yet have enough information to compute
/// its sibling without filling the sibling subtree with empty nodes.
tracking: BTreeSet<Address>,
/// A map from addresses that were being tracked to the values of their ommers that have been
/// discovered while scanning this bridge's range by adding leaves to the bridge's frontier.
ommers: BTreeMap<Address, H>,
/// The leading edge of the bridge.
frontier: NonEmptyFrontier<H>,
}
impl<H> MerkleBridge<H> {
/// Construct a new Merkle bridge containing only the specified
/// leaf.
pub fn new(value: H) -> Self {
Self {
prior_position: None,
tracking: BTreeSet::new(),
ommers: BTreeMap::new(),
frontier: NonEmptyFrontier::new(value),
}
}
/// Construct a new Merkle bridge from its constituent parts.
pub fn from_parts(
prior_position: Option<Position>,
tracking: BTreeSet<Address>,
ommers: BTreeMap<Address, H>,
frontier: NonEmptyFrontier<H>,
) -> Self {
Self {
prior_position,
tracking,
ommers,
frontier,
}
}
/// Returns the position of the final leaf in the frontier of the
/// bridge that this bridge is the successor of, or None
/// if this is the first bridge in a tree.
pub fn prior_position(&self) -> Option<Position> {
self.prior_position
}
/// Returns the position of the most recently appended leaf.
pub fn position(&self) -> Position {
self.frontier.position()
}
/// Returns the set of internal node addresses that we're searching
/// for the ommers for.
pub fn tracking(&self) -> &BTreeSet<Address> {
&self.tracking
}
/// Returns the set of internal node addresses that we're searching
/// for the ommers for.
pub fn ommers(&self) -> &BTreeMap<Address, H> {
&self.ommers
}
/// Returns the non-empty frontier of this Merkle bridge.
pub fn frontier(&self) -> &NonEmptyFrontier<H> {
&self.frontier
}
/// Returns the value of the most recently appended leaf.
pub fn current_leaf(&self) -> &H {
self.frontier.leaf()
}
/// Checks whether this bridge is a valid successor for the specified
/// bridge.
pub fn check_continuity(&self, next: &Self) -> Result<(), ContinuityError> {
if let Some(pos) = next.prior_position {
if pos == self.frontier.position() {
Ok(())
} else {
Err(ContinuityError::PositionMismatch(
self.frontier.position(),
pos,
))
}
} else {
Err(ContinuityError::PriorPositionNotFound)
}
}
/// Returns the range of positions observed by this bridge.
pub fn position_range(&self) -> Range<Position> {
Range {
start: self.prior_position.unwrap_or_else(|| Position::from(0)),
end: self.position() + 1,
}
}
}
impl<'a, H: Hashable + Ord + Clone + 'a> MerkleBridge<H> {
/// Constructs a new bridge to follow this one. If `mark_current_leaf` is true, the successor
/// will track the information necessary to create a witness for the leaf most
/// recently appended to this bridge's frontier.
#[must_use]
pub fn successor(&self, mark_current_leaf: bool) -> Self {
let mut result = Self {
prior_position: Some(self.frontier.position()),
tracking: self.tracking.clone(),
ommers: BTreeMap::new(),
frontier: self.frontier.clone(),
};
if mark_current_leaf {
result.track_current_leaf();
}
result
}
fn track_current_leaf(&mut self) {
self.tracking
.insert(Address::from(self.frontier.position()).current_incomplete());
}
/// Advances this bridge's frontier by appending the specified node,
/// and updates any auth path ommers being tracked if necessary.
pub fn append(&mut self, value: H) {
self.frontier.append(value);
let mut found = vec![];
for address in self.tracking.iter() {
// We know that there will only ever be one address that we're
// tracking at a given level, because as soon as we find a
// value for the sibling of the address we're tracking, we
// remove the tracked address and replace it the next parent
// of that address for which we need to find a sibling.
if self
.frontier()
.position()
.is_complete_subtree(address.level())
{
let digest = self.frontier.root(Some(address.level()));
self.ommers.insert(address.sibling(), digest);
found.push(*address);
}
}
for address in found {
self.tracking.remove(&address);
// The address of the next incomplete parent note for which
// we need to find a sibling.
let parent = address.next_incomplete_parent();
assert!(!self.ommers.contains_key(&parent));
self.tracking.insert(parent);
}
}
/// Returns a single MerkleBridge that contains the aggregate information
/// of this bridge and `next`, or None if `next` is not a valid successor
/// to this bridge. The resulting Bridge will have the same state as though
/// `self` had had every leaf used to construct `next` appended to it
/// directly.
fn fuse(&self, next: &Self) -> Result<Self, ContinuityError> {
self.check_continuity(next)?;
Ok(Self {
prior_position: self.prior_position,
tracking: next.tracking.clone(),
ommers: self
.ommers
.iter()
.chain(next.ommers.iter())
.map(|(k, v)| (*k, v.clone()))
.collect(),
frontier: next.frontier.clone(),
})
}
/// Returns a single MerkleBridge that contains the aggregate information
/// of all the provided bridges (discarding internal frontiers) or None
/// if the provided iterator is empty. Returns a continuity error if
/// any of the bridges are not valid successors to one another.
fn fuse_all<T: Iterator<Item = &'a Self>>(
mut iter: T,
) -> Result<Option<Self>, ContinuityError> {
let mut fused = iter.next().cloned();
for next in iter {
fused = Some(fused.unwrap().fuse(next)?);
}
Ok(fused)
}
/// If this bridge contains sufficient auth fragment information, construct an authentication
/// path for the specified position by interleaving with values from the prior frontier. This
/// method will panic if the position of the prior frontier does not match this bridge's prior
/// position.
fn witness(
&self,
depth: u8,
prior_frontier: &NonEmptyFrontier<H>,
) -> Result<Vec<H>, WitnessingError> {
assert!(Some(prior_frontier.position()) == self.prior_position);
prior_frontier.witness(depth, |addr| {
let r = addr.position_range();
if self.frontier.position() < r.start {
Some(H::empty_root(addr.level()))
} else if r.contains(&self.frontier.position()) {
Some(self.frontier.root(Some(addr.level())))
} else {
// the frontier's position is after the end of the requested
// range, so the requested value should exist in a stored
// fragment
self.ommers.get(&addr).cloned()
}
})
}
fn retain(&mut self, ommer_addrs: &BTreeSet<Address>) {
// Prune away any ommers & tracking addresses we don't need
self.tracking
.retain(|addr| ommer_addrs.contains(&addr.sibling()));
self.ommers.retain(|addr, _| ommer_addrs.contains(addr));
}
}
/// A data structure used to store the information necessary to "rewind" the state of a
/// [`BridgeTree`] to a particular leaf position.
///
/// This is needed because the [`BridgeTree::marked_indices`] map is a cache of information that
/// crosses [`MerkleBridge`] boundaries, and so it is not sufficient to just truncate the list of
/// bridges; instead, we use [`Checkpoint`] values to be able to rapidly restore the cache to its
/// previous state.
#[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)]
pub struct Checkpoint {
/// The number of bridges that will be retained in a rewind.
bridges_len: usize,
/// A flag indicating whether or not the current state of the tree
/// had been marked at the time the checkpoint was created.
is_marked: bool,
/// A set of the positions that have been marked during the period that this
/// checkpoint is the current checkpoint.
marked: BTreeSet<Position>,
/// When a mark is forgotten, if the index of the forgotten mark is <= bridge_idx we
/// record it in the current checkpoint so that on rollback, we restore the forgotten
/// marks to the BridgeTree's "saved" list. If the mark was newly created since the
/// checkpoint, we don't need to remember when we forget it because both the mark
/// creation and removal will be reverted in the rollback.
forgotten: BTreeMap<Position, usize>,
}
impl Checkpoint {
/// Creates a new checkpoint from its constituent parts.
pub fn from_parts(
bridges_len: usize,
is_marked: bool,
marked: BTreeSet<Position>,
forgotten: BTreeMap<Position, usize>,
) -> Self {
Self {
bridges_len,
is_marked,
marked,
forgotten,
}
}
/// Creates a new empty checkpoint for the specified [`BridgeTree`] state.
pub fn at_length(bridges_len: usize, is_marked: bool) -> Self {
Checkpoint {
bridges_len,
is_marked,
marked: BTreeSet::new(),
forgotten: BTreeMap::new(),
}
}
/// Returns the length of the [`BridgeTree::prior_bridges`] vector of the [`BridgeTree`] to
/// which this checkpoint refers.
///
/// This is the number of bridges that will be retained in the event of a rewind to this
/// checkpoint.
pub fn bridges_len(&self) -> usize {
self.bridges_len
}
/// Returns whether the current state of the tree had been marked at the point that
/// this checkpoint was made.
///
/// In the event of a rewind, the rewind logic will ensure that mark information is
/// properly reconstituted for the checkpointed tree state.
pub fn is_marked(&self) -> bool {
self.is_marked
}
/// Returns a set of the positions that have been marked during the period that this
/// checkpoint is the current checkpoint.
pub fn marked(&self) -> &BTreeSet<Position> {
&self.marked
}
/// Returns the set of previously-marked positions that have had their marks removed
/// during the period that this checkpoint is the current checkpoint.
pub fn forgotten(&self) -> &BTreeMap<Position, usize> {
&self.forgotten
}
// A private convenience method that returns the root of the bridge corresponding to
// this checkpoint at a specified depth, given the slice of bridges from which this checkpoint
// was derived.
fn root<H>(&self, bridges: &[MerkleBridge<H>], level: Level) -> H
where
H: Hashable + Clone + Ord,
{
if self.bridges_len == 0 {
H::empty_root(level)
} else {
bridges[self.bridges_len - 1].frontier().root(Some(level))
}
}
// A private convenience method that returns the position of the bridge corresponding
// to this checkpoint, if the checkpoint is not for the empty bridge.
fn position<H: Ord>(&self, bridges: &[MerkleBridge<H>]) -> Option<Position> {
if self.bridges_len == 0 {
None
} else {
Some(bridges[self.bridges_len - 1].position())
}
}
// A private method that rewrites the indices of each forgotten marked record
// using the specified rewrite function. Used during garbage collection.
fn rewrite_indices<F: Fn(usize) -> usize>(&mut self, f: F) {
self.bridges_len = f(self.bridges_len);
for v in self.forgotten.values_mut() {
*v = f(*v)
}
}
}
/// A sparse representation of a Merkle tree with linear appending of leaves that contains enough
/// information to produce a witness for any `mark`ed leaf.
#[derive(Clone, PartialEq, Eq, Serialize, Deserialize)]
pub struct BridgeTree<H, const DEPTH: u8> {
/// The ordered list of Merkle bridges representing the history
/// of the tree. There will be one bridge for each saved leaf.
prior_bridges: Vec<MerkleBridge<H>>,
/// The current (mutable) bridge at the tip of the tree.
current_bridge: Option<MerkleBridge<H>>,
/// A map from positions for which we wish to be able to compute a
/// witness to index in the bridges vector.
saved: BTreeMap<Position, usize>,
/// A stack of bridge indices to which it's possible to rewind directly.
checkpoints: Vec<Checkpoint>,
/// The maximum number of checkpoints to retain. If this number is
/// exceeded, the oldest checkpoint will be dropped when creating
/// a new checkpoint.
max_checkpoints: usize,
}
impl<H: Hashable + Ord + Debug, const DEPTH: u8> Debug for BridgeTree<H, DEPTH> {
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> Result<(), std::fmt::Error> {
write!(
f,
"BridgeTree {{\n depth: {:?},\n prior_bridges: {:?},\n current_bridge: {:?},\n saved: {:?},\n checkpoints: {:?},\n max_checkpoints: {:?}\n}}",
DEPTH, self.prior_bridges, self.current_bridge, self.saved, self.checkpoints, self.max_checkpoints
)
}
}
/// Errors that can appear when validating the internal consistency of a `[BridgeTree]`
/// value when constructing a tree from its constituent parts.
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum BridgeTreeError {
IncorrectIncompleteIndex,
InvalidMarkIndex(usize),
PositionMismatch { expected: Position, found: Position },
InvalidSavePoints,
Discontinuity(ContinuityError),
CheckpointMismatch,
}
impl<H, const DEPTH: u8> BridgeTree<H, DEPTH> {
/// Construct an empty BridgeTree value with the specified maximum number of checkpoints.
pub fn new(max_checkpoints: usize) -> Self {
Self {
prior_bridges: vec![],
current_bridge: None,
saved: BTreeMap::new(),
checkpoints: vec![],
max_checkpoints,
}
}
/// Removes the oldest checkpoint. Returns true if successful and false if
/// there are no checkpoints.
fn drop_oldest_checkpoint(&mut self) -> bool {
if self.checkpoints.is_empty() {
false
} else {
self.checkpoints.remove(0);
true
}
}
/// Returns the prior bridges that make up this tree
pub fn prior_bridges(&self) -> &[MerkleBridge<H>] {
&self.prior_bridges
}
/// Returns the current bridge at the tip of this tree
pub fn current_bridge(&self) -> &Option<MerkleBridge<H>> {
&self.current_bridge
}
/// Returns the map from leaf positions that have been marked to the index of
/// the bridge whose tip is at that position in this tree's list of bridges.
pub fn marked_indices(&self) -> &BTreeMap<Position, usize> {
&self.saved
}
/// Returns the checkpoints to which this tree may be rewound.
pub fn checkpoints(&self) -> &[Checkpoint] {
&self.checkpoints
}
/// Returns the maximum number of checkpoints that will be maintained
/// by the data structure. When this number of checkpoints is exceeded,
/// the oldest checkpoints are discarded when creating new checkpoints.
pub fn max_checkpoints(&self) -> usize {
self.max_checkpoints
}
/// Returns the bridge's frontier.
pub fn frontier(&self) -> Option<&NonEmptyFrontier<H>> {
self.current_bridge.as_ref().map(|b| b.frontier())
}
}
impl<H: Hashable + Ord + Clone, const DEPTH: u8> BridgeTree<H, DEPTH> {
/// Construct a new BridgeTree that will start recording changes from the state of
/// the specified frontier.
pub fn from_frontier(max_checkpoints: usize, frontier: NonEmptyFrontier<H>) -> Self {
Self {
prior_bridges: vec![],
current_bridge: Some(MerkleBridge::from_parts(
None,
BTreeSet::new(),
BTreeMap::new(),
frontier,
)),
saved: BTreeMap::new(),
checkpoints: vec![],
max_checkpoints,
}
}
/// Construct a new BridgeTree from its constituent parts, checking for internal
/// consistency.
pub fn from_parts(
prior_bridges: Vec<MerkleBridge<H>>,
current_bridge: Option<MerkleBridge<H>>,
saved: BTreeMap<Position, usize>,
checkpoints: Vec<Checkpoint>,
max_checkpoints: usize,
) -> Result<Self, BridgeTreeError> {
Self::check_consistency_internal(
&prior_bridges,
¤t_bridge,
&saved,
&checkpoints,
max_checkpoints,
)?;
Ok(BridgeTree {
prior_bridges,
current_bridge,
saved,
checkpoints,
max_checkpoints,
})
}
fn check_consistency(&self) -> Result<(), BridgeTreeError> {
Self::check_consistency_internal(
&self.prior_bridges,
&self.current_bridge,
&self.saved,
&self.checkpoints,
self.max_checkpoints,
)
}
fn check_consistency_internal(
prior_bridges: &[MerkleBridge<H>],
current_bridge: &Option<MerkleBridge<H>>,
saved: &BTreeMap<Position, usize>,
checkpoints: &[Checkpoint],
max_checkpoints: usize,
) -> Result<(), BridgeTreeError> {
// check that saved values correspond to bridges
for (pos, i) in saved {
if i >= &prior_bridges.len() {
return Err(BridgeTreeError::InvalidMarkIndex(*i));
}
let found = prior_bridges[*i].position();
if &found != pos {
return Err(BridgeTreeError::PositionMismatch {
expected: *pos,
found,
});
}
}
if checkpoints.len() > max_checkpoints
|| checkpoints
.iter()
.any(|c| c.bridges_len > prior_bridges.len())
{
return Err(BridgeTreeError::CheckpointMismatch);
}
for (prev, next) in prior_bridges.iter().zip(prior_bridges.iter().skip(1)) {
prev.check_continuity(next)
.map_err(BridgeTreeError::Discontinuity)?;
}
if let Some((prev, next)) = prior_bridges.last().zip(current_bridge.as_ref()) {
prev.check_continuity(next)
.map_err(BridgeTreeError::Discontinuity)?;
}
Ok(())
}
/// Appends a new value to the tree at the next available slot.
/// Returns true if successful and false if the tree would exceed
/// the maximum allowed depth.
pub fn append(&mut self, value: &H) -> bool {
if let Some(bridge) = self.current_bridge.as_mut() {
if bridge
.frontier
.position()
.is_complete_subtree(Level::from(DEPTH))
{
false
} else {
bridge.append(value.clone());
true
}
} else {
self.current_bridge = Some(MerkleBridge::new(value.clone()));
true
}
}
/// Obtains the root of the Merkle tree at the specified checkpoint depth
/// by hashing against empty nodes up to the maximum height of the tree.
/// Returns `None` if there are not enough checkpoints available to reach the
/// requested checkpoint depth.
pub fn root(&self, checkpoint_depth: usize) -> Option<H> {
let root_level = Level::from(DEPTH);
if checkpoint_depth == 0 {
Some(
self.current_bridge
.as_ref()
.map_or(H::empty_root(root_level), |bridge| {
bridge.frontier().root(Some(root_level))
}),
)
} else if self.checkpoints.len() >= checkpoint_depth {
let checkpoint_idx = self.checkpoints.len() - checkpoint_depth;
self.checkpoints
.get(checkpoint_idx)
.map(|c| c.root(&self.prior_bridges, root_level))
} else {
None
}
}