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// MMR PEAKS
7// ================================================================================================
8
9#[derive(Debug, Clone, PartialEq, Eq)]
10#[cfg_attr(feature = "serde", derive(serde::Deserialize, serde::Serialize))]
11pub struct MmrPeaks {
12 /// The number of leaves is used to differentiate MMRs that have the same number of peaks. This
13 /// happens because the number of peaks goes up-and-down as the structure is used causing
14 /// existing trees to be merged and new ones to be created. As an example, every time the MMR
15 /// has a power-of-two number of leaves there is a single peak.
16 ///
17 /// Every tree in the MMR forest has a distinct power-of-two size, this means only the right-
18 /// most tree can have an odd number of elements (e.g. `1`). Additionally this means that the
19 /// bits in `num_leaves` conveniently encode the size of each individual tree.
20 ///
21 /// Examples:
22 ///
23 /// - With 5 leaves, the binary `0b101`. The number of set bits is equal the number
24 /// of peaks, in this case there are 2 peaks. The 0-indexed least-significant position of
25 /// the bit determines the number of elements of a tree, so the rightmost tree has `2**0`
26 /// elements and the left most has `2**2`.
27 /// - With 12 leaves, the binary is `0b1100`, this case also has 2 peaks, the
28 /// leftmost tree has `2**3=8` elements, and the right most has `2**2=4` elements.
29 num_leaves: usize,
30
31 /// All the peaks of every tree in the MMR forest. The peaks are always ordered by number of
32 /// leaves, starting from the peak with most children, to the one with least.
33 ///
34 /// Invariant: The length of `peaks` must be equal to the number of true bits in `num_leaves`.
35 peaks: Vec<RpoDigest>,
36}
37
38impl MmrPeaks {
39 // CONSTRUCTOR
40 // --------------------------------------------------------------------------------------------
41
42 /// Returns new [MmrPeaks] instantiated from the provided vector of peaks and the number of
43 /// leaves in the underlying MMR.
44 ///
45 /// # Errors
46 /// Returns an error if the number of leaves and the number of peaks are inconsistent.
47 pub fn new(num_leaves: usize, peaks: Vec<RpoDigest>) -> Result<Self, MmrError> {
48 if num_leaves.count_ones() as usize != peaks.len() {
49 return Err(MmrError::InvalidPeaks);
50 }
51
52 Ok(Self { num_leaves, peaks })
53 }
54
55 // ACCESSORS
56 // --------------------------------------------------------------------------------------------
57
58 /// Returns a count of leaves in the underlying MMR.
59 pub fn num_leaves(&self) -> usize {
60 self.num_leaves
61 }
62
63 /// Returns the number of peaks of the underlying MMR.
64 pub fn num_peaks(&self) -> usize {
65 self.peaks.len()
66 }
67
68 /// Returns the list of peaks of the underlying MMR.
69 pub fn peaks(&self) -> &[RpoDigest] {
70 &self.peaks
71 }
72
73 /// Converts this [MmrPeaks] into its components: number of leaves and a vector of peaks of
74 /// the underlying MMR.
75 pub fn into_parts(self) -> (usize, Vec<RpoDigest>) {
76 (self.num_leaves, self.peaks)
77 }
78
79 /// Hashes the peaks.
80 ///
81 /// The procedure will:
82 /// - Flatten and pad the peaks to a vector of Felts.
83 /// - Hash the vector of Felts.
84 pub fn hash_peaks(&self) -> RpoDigest {
85 Rpo256::hash_elements(&self.flatten_and_pad_peaks())
86 }
87
88 pub fn verify(&self, value: RpoDigest, opening: MmrProof) -> bool {
89 let root = &self.peaks[opening.peak_index()];
90 opening.merkle_path.verify(opening.relative_pos() as u64, value, root)
91 }
92
93 /// Flattens and pads the peaks to make hashing inside of the Miden VM easier.
94 ///
95 /// The procedure will:
96 /// - Flatten the vector of Words into a vector of Felts.
97 /// - Pad the peaks with ZERO to an even number of words, this removes the need to handle RPO
98 /// padding.
99 /// - Pad the peaks to a minimum length of 16 words, which reduces the constant cost of
100 /// hashing.
101 pub fn flatten_and_pad_peaks(&self) -> Vec<Felt> {
102 let num_peaks = self.peaks.len();
103
104 // To achieve the padding rules above we calculate the length of the final vector.
105 // This is calculated as the number of field elements. Each peak is 4 field elements.
106 // The length is calculated as follows:
107 // - If there are less than 16 peaks, the data is padded to 16 peaks and as such requires
108 // 64 field elements.
109 // - If there are more than 16 peaks and the number of peaks is odd, the data is padded to
110 // an even number of peaks and as such requires `(num_peaks + 1) * 4` field elements.
111 // - If there are more than 16 peaks and the number of peaks is even, the data is not padded
112 // and as such requires `num_peaks * 4` field elements.
113 let len = if num_peaks < 16 {
114 64
115 } else if num_peaks % 2 == 1 {
116 (num_peaks + 1) * 4
117 } else {
118 num_peaks * 4
119 };
120
121 let mut elements = Vec::with_capacity(len);
122 elements.extend_from_slice(
123 &self
124 .peaks
125 .as_slice()
126 .iter()
127 .map(|digest| digest.into())
128 .collect::<Vec<Word>>()
129 .concat(),
130 );
131 elements.resize(len, ZERO);
132 elements
133 }
134}