1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
// Copyright (C) 2019-2021 Aleo Systems Inc.
// This file is part of the snarkVM library.

// The snarkVM library is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// The snarkVM library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with the snarkVM library. If not, see <https://www.gnu.org/licenses/>.

use snarkvm_algorithms::crh::double_sha256;

#[derive(Clone, Debug, Eq, PartialEq)]
pub struct MerkleTreeRootHash([u8; 32]);

fn merkle_round(hashes: &[[u8; 32]]) -> Vec<[u8; 32]> {
    let mut ret_len = hashes.len() / 2;
    if hashes.len() % 2 == 1 {
        ret_len += 1;
    };
    let mut ret = Vec::with_capacity(ret_len);

    // Duplicates the last element if there are an odd number of leaves
    for arr in hashes.chunks(2) {
        match arr {
            [h1, h2] => ret.push(merkle_hash(&h1[..], &h2[..])),
            [h] => ret.push(merkle_hash(&h[..], &h[..])),
            _ => unreachable!(),
        }
    }

    ret
}

/// Calculates a Merkle root and also returns the subroots at a desired depth. If the tree is too
/// shallow to have subroots at that depth, returns the root as a single subroot.
pub fn merkle_root_with_subroots(hashes: &[[u8; 32]], subroots_depth: usize) -> ([u8; 32], Vec<[u8; 32]>) {
    merkle_root_with_subroots_inner(hashes, &[], subroots_depth)
}

fn merkle_root_with_subroots_inner(
    hashes: &[[u8; 32]],
    subroots: &[[u8; 32]],
    subroots_depth: usize,
) -> ([u8; 32], Vec<[u8; 32]>) {
    if hashes.len() == 1 {
        // Tree was too shallow.
        let root = hashes[0];
        let subroots = if subroots.is_empty() {
            vec![root]
        } else {
            subroots.to_vec()
        };
        return (root, subroots);
    }

    let result = merkle_round(hashes);
    if result.len() == 1 << subroots_depth {
        merkle_root_with_subroots_inner(&result, &result, subroots_depth)
    } else {
        merkle_root_with_subroots_inner(&result, subroots, subroots_depth)
    }
}

/// Calculates the root of the Merkle tree
pub fn merkle_root(hashes: &[[u8; 32]]) -> [u8; 32] {
    if hashes.len() == 1 {
        return hashes[0];
    }

    let result = merkle_round(hashes);

    merkle_root(&result)
}

/// Calculate the Merkle tree hash by concatenating the left and right children nodes.
pub fn merkle_hash(left: &[u8], right: &[u8]) -> [u8; 32] {
    let mut result = [0u8; 64];
    result[0..32].copy_from_slice(&left);
    result[32..64].copy_from_slice(&right);
    double_sha256(&result)
}

#[cfg(test)]
mod tests {
    use super::merkle_root;
    use std::convert::TryInto;

    // block 80_000
    // https://blockchain.info/block/000000000043a8c0fd1d6f726790caa2a406010d19efd2780db27bdbbd93baf6
    #[test]
    fn test_merkle_root_2_hashes() {
        let mut tx1 = hex::decode("c06fbab289f723c6261d3030ddb6be121f7d2508d77862bb1e484f5cd7f92b25").unwrap();
        let mut tx2 = hex::decode("5a4ebf66822b0b2d56bd9dc64ece0bc38ee7844a23ff1d7320a88c5fdb2ad3e2").unwrap();

        tx1.reverse();
        tx2.reverse();

        let result = merkle_root(&[tx1.as_slice().try_into().unwrap(), tx2.as_slice().try_into().unwrap()]);

        let mut expected = hex::decode("8fb300e3fdb6f30a4c67233b997f99fdd518b968b9a3fd65857bfe78b2600719").unwrap();
        expected.reverse();

        assert_eq!(&result[..], &expected[..]);
    }

    #[test]
    fn test_merkle_root_5_hashes() {
        let tx1 = hex::decode("1da63abbc8cc611334a753c4c31de14d19839c65b2b284202eaf3165861fb58d").unwrap();
        let tx2 = hex::decode("26c6a6f18d13d2f0787c1c0f3c5e23cf5bc8b3de685dd1923ae99f44c5341c0c").unwrap();
        let tx3 = hex::decode("513507fa209db823541caf7b9742bb9999b4a399cf604ba8da7037f3acced649").unwrap();
        let tx4 = hex::decode("6bf5d2e02b8432d825c5dff692d435b6c5f685d94efa6b3d8fb818f2ecdcfb66").unwrap();
        let tx5 = hex::decode("8a5ad423bc54fb7c76718371fd5a73b8c42bf27beaf2ad448761b13bcafb8895").unwrap();

        let vec: Vec<_> = vec![tx1, tx2, tx3, tx4, tx5]
            .iter_mut()
            .map(|tx| {
                tx.reverse();
                tx.as_slice().try_into().unwrap()
            })
            .collect();

        let result = merkle_root(&vec);

        let mut expected = hex::decode("3a432cd416ea05b1be4ec1e72d7952d08670eaa5505b6794a186ddb253aa62e6").unwrap();
        expected.reverse();

        assert_eq!(&result[..], &expected[..]);
    }
}