commonware_storage/merkle/path.rs
1//! Generic peak-to-leaf path iterator for Merkle-family data structures.
2//!
3//! [`Iterator`] traverses the path from a peak to a leaf within a perfect binary tree,
4//! yielding `(parent_pos, sibling_pos, height)` tuples at each level. The traversal is top-down
5//! (peak first), using [`Family::children`] for child positions and leaf locations for the
6//! left/right decision at each level.
7
8use crate::merkle::{Family, Location, Position};
9
10/// Yields `(parent_pos, sibling_pos, height)` for each internal node on the path from a peak
11/// to a designated leaf, in top-down order (peak first). The peak itself is the first parent
12/// yielded; the leaf is never yielded.
13///
14/// For example, consider an MMR tree and the path from the peak to leaf at location 2
15/// (position 3):
16///
17/// ```text
18/// 6
19/// / \
20/// 2 5
21/// / \ / \
22/// 0 1 3 4
23/// ```
24///
25/// `path::Iterator` yields: `[(6, 2, 2), (5, 4, 1)]`
26/// - Node 6 (height 2): left child 2 is the sibling, right child 5 is on the path.
27/// - Node 5 (height 1): right child 4 is the sibling, left child 3 is the target leaf.
28#[derive(Debug)]
29pub struct Iterator<F: Family> {
30 target_loc: Location<F>, // leaf we are navigating toward
31 node_pos: Position<F>, // current node on the path (starts at peak)
32 first_leaf: u64, // location of the leftmost leaf in the current subtree
33 height: u32, // height of the current node
34}
35
36impl<F: Family> Iterator<F> {
37 /// Create a new path iterator from a peak to a leaf.
38 ///
39 /// - `peak_pos`: position of the peak node.
40 /// - `height`: height of the peak.
41 /// - `first_leaf_loc`: location of the leftmost leaf in this peak's subtree.
42 /// - `target_loc`: location of the target leaf.
43 pub const fn new(
44 peak_pos: Position<F>,
45 height: u32,
46 first_leaf_loc: Location<F>,
47 target_loc: Location<F>,
48 ) -> Self {
49 Self {
50 target_loc,
51 node_pos: peak_pos,
52 first_leaf: first_leaf_loc.as_u64(),
53 height,
54 }
55 }
56}
57
58impl<F: Family> core::iter::Iterator for Iterator<F> {
59 /// `(parent_pos, sibling_pos, height)` where height is the parent's height.
60 type Item = (Position<F>, Position<F>, u32);
61
62 fn next(&mut self) -> Option<Self::Item> {
63 if self.height == 0 {
64 return None;
65 }
66
67 let parent_pos = self.node_pos;
68 let parent_height = self.height;
69 let (left, right) = F::children(parent_pos, parent_height);
70
71 let mid = self.first_leaf + (1u64 << (parent_height - 1));
72 self.height -= 1;
73
74 if self.target_loc.as_u64() < mid {
75 // Target is in the left subtree.
76 self.node_pos = left;
77 Some((parent_pos, right, parent_height))
78 } else {
79 // Target is in the right subtree.
80 self.node_pos = right;
81 self.first_leaf = mid;
82 Some((parent_pos, left, parent_height))
83 }
84 }
85}