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// This file is part of Substrate.
// Copyright (C) Parity Technologies (UK) Ltd.
// SPDX-License-Identifier: Apache-2.0
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//! Merkle Mountain Range utilities.
use codec::Encode;
use mmr_lib::helper;
#[cfg(not(feature = "std"))]
use alloc::vec::Vec;
use sp_runtime::traits::{CheckedAdd, CheckedSub, Header, One};
use crate::{Error, LeafIndex, NodeIndex};
/// Get the first block with MMR.
pub fn first_mmr_block_num<H: Header>(
best_block_num: H::Number,
mmr_leaf_count: LeafIndex,
) -> Result<H::Number, Error> {
let mmr_blocks_count = mmr_leaf_count.try_into().map_err(|_| {
Error::InvalidNumericOp
.log_debug("The number of leaves couldn't be converted to a block number.")
})?;
best_block_num
.checked_sub(&mmr_blocks_count)
.and_then(|last_non_mmr_block| last_non_mmr_block.checked_add(&One::one()))
.ok_or_else(|| {
.log_debug("The best block should be greater than the number of mmr blocks.")
})
}
/// Convert a block number into a leaf index.
pub fn block_num_to_leaf_index<H: Header>(
block_num: H::Number,
first_mmr_block_num: H::Number,
) -> Result<LeafIndex, Error> {
let leaf_idx = block_num.checked_sub(&first_mmr_block_num).ok_or_else(|| {
.log_debug("The provided block should be greater than the first mmr block.")
leaf_idx.try_into().map_err(|_| {
Error::InvalidNumericOp.log_debug("Couldn't convert the leaf index to `LeafIndex`.")
/// MMR nodes & size -related utilities.
pub struct NodesUtils {
no_of_leaves: LeafIndex,
impl NodesUtils {
/// Create new instance of MMR nodes utilities for given number of leaves.
pub fn new(no_of_leaves: LeafIndex) -> Self {
Self { no_of_leaves }
/// Calculate number of peaks in the MMR.
pub fn number_of_peaks(&self) -> NodeIndex {
self.number_of_leaves().count_ones() as NodeIndex
/// Return the number of leaves in the MMR.
pub fn number_of_leaves(&self) -> LeafIndex {
self.no_of_leaves
/// Calculate the total size of MMR (number of nodes).
pub fn size(&self) -> NodeIndex {
2 * self.no_of_leaves - self.number_of_peaks()
/// Calculate `LeafIndex` for the leaf that added `node_index` to the MMR.
pub fn leaf_index_that_added_node(node_index: NodeIndex) -> LeafIndex {
let rightmost_leaf_pos = Self::rightmost_leaf_node_index_from_pos(node_index);
Self::leaf_node_index_to_leaf_index(rightmost_leaf_pos)
// Translate a _leaf_ `NodeIndex` to its `LeafIndex`.
fn leaf_node_index_to_leaf_index(pos: NodeIndex) -> LeafIndex {
if pos == 0 {
return 0
let peaks = helper::get_peaks(pos);
(pos + peaks.len() as u64) >> 1
// Starting from any node position get position of rightmost leaf; this is the leaf
// responsible for the addition of node `pos`.
fn rightmost_leaf_node_index_from_pos(pos: NodeIndex) -> NodeIndex {
pos - (helper::pos_height_in_tree(pos) as u64)
/// Starting from any leaf index, get the sequence of positions of the nodes added
/// to the mmr when this leaf was added (inclusive of the leaf's position itself).
/// That is, all of these nodes are right children of their respective parents.
pub fn right_branch_ending_in_leaf(leaf_index: LeafIndex) -> Vec<NodeIndex> {
let pos = helper::leaf_index_to_pos(leaf_index);
let num_parents = leaf_index.trailing_ones() as u64;
return (pos..=pos + num_parents).collect()
/// Build offchain key from `parent_hash` of block that originally added node `pos` to MMR.
///
/// This combination makes the offchain (key,value) entry resilient to chain forks.
pub fn node_temp_offchain_key<H: Header>(
prefix: &[u8],
pos: NodeIndex,
parent_hash: H::Hash,
) -> Vec<u8> {
(prefix, pos, parent_hash).encode()
/// Build canonical offchain key for node `pos` in MMR.
/// Used for nodes added by now finalized blocks.
/// Never read keys using `node_canon_offchain_key` unless you sure that
/// there's no `node_offchain_key` key in the storage.
pub fn node_canon_offchain_key(prefix: &[u8], pos: NodeIndex) -> alloc::vec::Vec<u8> {
(prefix, pos).encode()
#[cfg(test)]
mod tests {
use super::*;
use mmr_lib::helper::leaf_index_to_pos;
#[test]
fn should_calculate_node_index_from_leaf_index() {
for index in 0..100000 {
let pos = leaf_index_to_pos(index);
assert_eq!(NodesUtils::leaf_node_index_to_leaf_index(pos), index);
fn should_calculate_right_branch_correctly() {
fn left_jump_sequence(leaf_index: LeafIndex) -> Vec<u64> {
let pos = leaf_index_to_pos(leaf_index);
let mut right_branch_ending_in_leaf = vec![pos];
let mut next_pos = pos + 1;
while mmr_lib::helper::pos_height_in_tree(next_pos) > 0 {
right_branch_ending_in_leaf.push(next_pos);
next_pos += 1;
right_branch_ending_in_leaf
for leaf_index in 0..100000 {
let pos = mmr_lib::helper::leaf_index_to_pos(leaf_index);
assert_eq!(NodesUtils::right_branch_ending_in_leaf(pos), left_jump_sequence(pos));
fn should_calculate_rightmost_leaf_node_index_from_pos() {
for pos in 0..100000 {
let leaf_pos = NodesUtils::rightmost_leaf_node_index_from_pos(pos);
let leaf_index = NodesUtils::leaf_node_index_to_leaf_index(leaf_pos);
assert!(NodesUtils::right_branch_ending_in_leaf(leaf_index).contains(&pos));
fn should_calculate_depth_correctly() {
assert_eq!(
vec![0, 1, 2, 3, 4, 9, 15, 21]
.into_iter()
.map(|n| NodesUtils::new(n).number_of_leaves())
.collect::<Vec<_>>(),
);
fn should_calculate_number_of_peaks_correctly() {
vec![0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 21]
.map(|n| NodesUtils::new(n).number_of_peaks())
vec![0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 3]
fn should_calculate_the_size_correctly() {
let leaves = vec![0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 21];
let sizes = vec![0, 1, 3, 4, 7, 8, 10, 11, 15, 16, 18, 19, 22, 23, 25, 26, 39];
leaves
.clone()
.map(|n| NodesUtils::new(n).size())
sizes.clone()