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MerkleLib

Git Source

Author: Illusory Systems Inc.

An incremental merkle tree modeled on the eth2 deposit contract.

State Variables​

TREE_DEPTH​

uint256 internal constant TREE_DEPTH = 32;

MAX_LEAVES​

uint256 internal constant MAX_LEAVES = 2 ** TREE_DEPTH - 1;

Z_0​

Z_i represent the hash values at different heights for a binary tree with leaf values equal to 0. (e.g. Z_1 is the keccak256 hash of (0x0, 0x0), Z_2 is the keccak256 hash of (Z_1, Z_1), etc...) Z_0 is the bottom of the 33-layer tree, Z_32 is the top (i.e. root). Used to shortcut calculation in root calculation methods below.

bytes32 internal constant Z_0 = hex"0000000000000000000000000000000000000000000000000000000000000000";

Z_1​

bytes32 internal constant Z_1 = hex"ad3228b676f7d3cd4284a5443f17f1962b36e491b30a40b2405849e597ba5fb5";

Z_2​

bytes32 internal constant Z_2 = hex"b4c11951957c6f8f642c4af61cd6b24640fec6dc7fc607ee8206a99e92410d30";

Z_3​

bytes32 internal constant Z_3 = hex"21ddb9a356815c3fac1026b6dec5df3124afbadb485c9ba5a3e3398a04b7ba85";

Z_4​

bytes32 internal constant Z_4 = hex"e58769b32a1beaf1ea27375a44095a0d1fb664ce2dd358e7fcbfb78c26a19344";

Z_5​

bytes32 internal constant Z_5 = hex"0eb01ebfc9ed27500cd4dfc979272d1f0913cc9f66540d7e8005811109e1cf2d";

Z_6​

bytes32 internal constant Z_6 = hex"887c22bd8750d34016ac3c66b5ff102dacdd73f6b014e710b51e8022af9a1968";

Z_7​

bytes32 internal constant Z_7 = hex"ffd70157e48063fc33c97a050f7f640233bf646cc98d9524c6b92bcf3ab56f83";

Z_8​

bytes32 internal constant Z_8 = hex"9867cc5f7f196b93bae1e27e6320742445d290f2263827498b54fec539f756af";

Z_9​

bytes32 internal constant Z_9 = hex"cefad4e508c098b9a7e1d8feb19955fb02ba9675585078710969d3440f5054e0";

Z_10​

bytes32 internal constant Z_10 = hex"f9dc3e7fe016e050eff260334f18a5d4fe391d82092319f5964f2e2eb7c1c3a5";

Z_11​

bytes32 internal constant Z_11 = hex"f8b13a49e282f609c317a833fb8d976d11517c571d1221a265d25af778ecf892";

Z_12​

bytes32 internal constant Z_12 = hex"3490c6ceeb450aecdc82e28293031d10c7d73bf85e57bf041a97360aa2c5d99c";

Z_13​

bytes32 internal constant Z_13 = hex"c1df82d9c4b87413eae2ef048f94b4d3554cea73d92b0f7af96e0271c691e2bb";

Z_14​

bytes32 internal constant Z_14 = hex"5c67add7c6caf302256adedf7ab114da0acfe870d449a3a489f781d659e8becc";

Z_15​

bytes32 internal constant Z_15 = hex"da7bce9f4e8618b6bd2f4132ce798cdc7a60e7e1460a7299e3c6342a579626d2";

Z_16​

bytes32 internal constant Z_16 = hex"2733e50f526ec2fa19a22b31e8ed50f23cd1fdf94c9154ed3a7609a2f1ff981f";

Z_17​

bytes32 internal constant Z_17 = hex"e1d3b5c807b281e4683cc6d6315cf95b9ade8641defcb32372f1c126e398ef7a";

Z_18​

bytes32 internal constant Z_18 = hex"5a2dce0a8a7f68bb74560f8f71837c2c2ebbcbf7fffb42ae1896f13f7c7479a0";

Z_19​

bytes32 internal constant Z_19 = hex"b46a28b6f55540f89444f63de0378e3d121be09e06cc9ded1c20e65876d36aa0";

Z_20​

bytes32 internal constant Z_20 = hex"c65e9645644786b620e2dd2ad648ddfcbf4a7e5b1a3a4ecfe7f64667a3f0b7e2";

Z_21​

bytes32 internal constant Z_21 = hex"f4418588ed35a2458cffeb39b93d26f18d2ab13bdce6aee58e7b99359ec2dfd9";

Z_22​

bytes32 internal constant Z_22 = hex"5a9c16dc00d6ef18b7933a6f8dc65ccb55667138776f7dea101070dc8796e377";

Z_23​

bytes32 internal constant Z_23 = hex"4df84f40ae0c8229d0d6069e5c8f39a7c299677a09d367fc7b05e3bc380ee652";

Z_24​

bytes32 internal constant Z_24 = hex"cdc72595f74c7b1043d0e1ffbab734648c838dfb0527d971b602bc216c9619ef";

Z_25​

bytes32 internal constant Z_25 = hex"0abf5ac974a1ed57f4050aa510dd9c74f508277b39d7973bb2dfccc5eeb0618d";

Z_26​

bytes32 internal constant Z_26 = hex"b8cd74046ff337f0a7bf2c8e03e10f642c1886798d71806ab1e888d9e5ee87d0";

Z_27​

bytes32 internal constant Z_27 = hex"838c5655cb21c6cb83313b5a631175dff4963772cce9108188b34ac87c81c41e";

Z_28​

bytes32 internal constant Z_28 = hex"662ee4dd2dd7b2bc707961b1e646c4047669dcb6584f0d8d770daf5d7e7deb2e";

Z_29​

bytes32 internal constant Z_29 = hex"388ab20e2573d171a88108e79d820e98f26c0b84aa8b2f4aa4968dbb818ea322";

Z_30​

bytes32 internal constant Z_30 = hex"93237c50ba75ee485f4c22adf2f741400bdf8d6a9cc7df7ecae576221665d735";

Z_31​

bytes32 internal constant Z_31 = hex"8448818bb4ae4562849e949e17ac16e0be16688e156b5cf15e098c627c0056a9";

Z_32​

bytes32 internal constant Z_32 = hex"27ae5ba08d7291c96c8cbddcc148bf48a6d68c7974b94356f53754ef6171d757";

Functions​

insert​

Inserts a given node (leaf) into merkle tree. Operates on an in-memory tree and returns an updated version of that tree.

Reverts if the tree is already full.

function insert(Tree memory tree, bytes32 node) internal pure returns (Tree memory);

Parameters

NameTypeDescription
treeTree
nodebytes32Element to insert into tree.

Returns

NameTypeDescription
<none>TreeTree Updated tree.

root​

Calculates and returns tree's current root.

function root(Tree storage tree) internal view returns (bytes32 _current);

Returns

NameTypeDescription
_currentbytes32bytes32 root.

branchRoot​

Calculates and returns the merkle root for the given leaf _item, a merkle branch, and the index of _item in the tree.

function branchRoot(
    bytes32 _item,
    bytes32[TREE_DEPTH] memory _branch,
    uint256 _index
)
    internal
    pure
    returns (bytes32 _current);

Parameters

NameTypeDescription
_itembytes32Merkle leaf
_branchbytes32[TREE_DEPTH]Merkle proof
_indexuint256Index of _item in tree

Returns

NameTypeDescription
_currentbytes32Calculated merkle root

Errors​

MerkleLib__insert_treeIsFull​

error MerkleLib__insert_treeIsFull();

Structs​

Tree​

Struct representing incremental merkle tree. Contains current branch and the number of inserted leaves in the tree.

struct Tree {
    bytes32[TREE_DEPTH] branch;
    uint256 count;
}