miden-crypto/src/merkle/mmr/peaks.rs
src/merkle/mmr/peaks.rsRaw
1use super::{
2 super::{RpoDigest, Vec, ZERO},
3 Felt, MmrError, MmrProof, Rpo256, Word,
4};
5
6#[derive(Debug, Clone, PartialEq)]
7#[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
8pub struct MmrPeaks {
9 /// The number of leaves is used to differentiate accumulators that have the same number of
10 /// peaks. This happens because the number of peaks goes up-and-down as the structure is used
11 /// causing existing trees to be merged and new ones to be created. As an example, every time
12 /// the [Mmr] has a power-of-two number of leaves there is a single peak.
13 ///
14 /// Every tree in the [Mmr] forest has a distinct power-of-two size, this means only the right
15 /// most tree can have an odd number of elements (e.g. `1`). Additionally this means that the bits in
16 /// `num_leaves` conveniently encode the size of each individual tree.
17 ///
18 /// Examples:
19 ///
20 /// - With 5 leaves, the binary `0b101`. The number of set bits is equal the number
21 /// of peaks, in this case there are 2 peaks. The 0-indexed least-significant position of
22 /// the bit determines the number of elements of a tree, so the rightmost tree has `2**0`
23 /// elements and the left most has `2**2`.
24 /// - With 12 leaves, the binary is `0b1100`, this case also has 2 peaks, the
25 /// leftmost tree has `2**3=8` elements, and the right most has `2**2=4` elements.
26 num_leaves: usize,
27
28 /// All the peaks of every tree in the [Mmr] forest. The peaks are always ordered by number of
29 /// leaves, starting from the peak with most children, to the one with least.
30 ///
31 /// Invariant: The length of `peaks` must be equal to the number of true bits in `num_leaves`.
32 peaks: Vec<RpoDigest>,
33}
34
35impl MmrPeaks {
36 pub fn new(num_leaves: usize, peaks: Vec<RpoDigest>) -> Result<Self, MmrError> {
37 if num_leaves.count_ones() as usize != peaks.len() {
38 return Err(MmrError::InvalidPeaks);
39 }
40
41 Ok(Self { num_leaves, peaks })
42 }
43
44 // ACCESSORS
45 // --------------------------------------------------------------------------------------------
46
47 /// Returns a count of the [Mmr]'s leaves.
48 pub fn num_leaves(&self) -> usize {
49 self.num_leaves
50 }
51
52 /// Returns the current peaks of the [Mmr].
53 pub fn peaks(&self) -> &[RpoDigest] {
54 &self.peaks
55 }
56
57 /// Returns the current num_leaves and peaks of the [Mmr].
58 pub fn into_parts(self) -> (usize, Vec<RpoDigest>) {
59 (self.num_leaves, self.peaks)
60 }
61
62 /// Hashes the peaks.
63 ///
64 /// The procedure will:
65 /// - Flatten and pad the peaks to a vector of Felts.
66 /// - Hash the vector of Felts.
67 pub fn hash_peaks(&self) -> Word {
68 Rpo256::hash_elements(&self.flatten_and_pad_peaks()).into()
69 }
70
71 pub fn verify(&self, value: RpoDigest, opening: MmrProof) -> bool {
72 let root = &self.peaks[opening.peak_index()];
73 opening.merkle_path.verify(opening.relative_pos() as u64, value, root)
74 }
75
76 /// Flattens and pads the peaks to make hashing inside of the Miden VM easier.
77 ///
78 /// The procedure will:
79 /// - Flatten the vector of Words into a vector of Felts.
80 /// - Pad the peaks with ZERO to an even number of words, this removes the need to handle RPO
81 /// padding.
82 /// - Pad the peaks to a minimum length of 16 words, which reduces the constant cost of
83 /// hashing.
84 pub fn flatten_and_pad_peaks(&self) -> Vec<Felt> {
85 let num_peaks = self.peaks.len();
86
87 // To achieve the padding rules above we calculate the length of the final vector.
88 // This is calculated as the number of field elements. Each peak is 4 field elements.
89 // The length is calculated as follows:
90 // - If there are less than 16 peaks, the data is padded to 16 peaks and as such requires
91 // 64 field elements.
92 // - If there are more than 16 peaks and the number of peaks is odd, the data is padded to
93 // an even number of peaks and as such requires `(num_peaks + 1) * 4` field elements.
94 // - If there are more than 16 peaks and the number of peaks is even, the data is not padded
95 // and as such requires `num_peaks * 4` field elements.
96 let len = if num_peaks < 16 {
97 64
98 } else if num_peaks % 2 == 1 {
99 (num_peaks + 1) * 4
100 } else {
101 num_peaks * 4
102 };
103
104 let mut elements = Vec::with_capacity(len);
105 elements.extend_from_slice(
106 &self
107 .peaks
108 .as_slice()
109 .iter()
110 .map(|digest| digest.into())
111 .collect::<Vec<Word>>()
112 .concat(),
113 );
114 elements.resize(len, ZERO);
115 elements
116 }
117}