// keccak256("tornado") % BN254_FIELD_SIZE const DEFAULT_ZERO = '21663839004416932945382355908790599225266501822907911457504978515578255421292' const defaultHash = require('./mimc') // todo ensure consistent types in tree and inserted elements? // todo make sha3 default hasher (and update tests) to get rid of mimc/snarkjs/circomlib dependency /** * @callback hashFunction * @param left Left leaf * @param right Right leaf */ /** * Merkle tree */ class MerkleTree { /** * Constructor * @param {number} levels Number of levels in the tree * @param {Array} [elements] Initial elements * @param [zeroElement] Value for non-existent leaves * @param {hashFunction} [hashFunction] Function used to hash 2 leaves */ constructor(levels, elements = [], zeroElement = DEFAULT_ZERO, hashFunction) { this.levels = levels this.capacity = 2 << levels this.zeroElement = zeroElement this._hash = hashFunction ?? defaultHash this._zeros = [] this._layers = [] this._layers[0] = elements this._zeros[0] = this.zeroElement for (let i = 1; i <= levels; i++) { this._zeros[i] = this._hash(this._zeros[i - 1], this._zeros[i - 1]) } this._rebuild() } _rebuild() { for (let level = 1; level <= this.levels; level++) { this._layers[level] = [] for (let i = 0; i < Math.ceil(this._layers[level - 1].length / 2); i++) { this._layers[level][i] = this._hash( this._layers[level - 1][i * 2], this._layers[level - 1]?.[i * 2 + 1] ?? this._zeros[level - 1], ) } } } /** * Get tree root * @returns {*} */ root() { return this._layers[this.levels]?.[0] ?? this._zeros[this.levels] } /** * Insert new element into the tree * @param element Element to insert */ insert(element) { if (this._layers[0].length >= this.capacity) { throw new Error('Tree is full') } this.update(this._layers[0].length, element) } /** * Insert multiple elements into the tree. Tree will be fully rebuilt during this operation. * @param {Array} elements Elements to insert */ bulkInsert(elements) { if (this._layers[0].length + elements.length > this.capacity) { throw new Error('Tree is full') } this._layers[0].push(...elements) this._rebuild() } /** * Change an element in the tree * @param {number} index Index of element to change * @param element Updated element value */ update(index, element) { if (index < 0 || index > this._layers[0].length || index >= this.capacity) { throw new Error('Insert index out of bounds: ' + index) } this._layers[0][index] = element for (let level = 1; level <= this.levels; level++) { index >>= 1 this._layers[level][index] = this._hash( this._layers[level - 1][index * 2], this._layers[level - 1]?.[index * 2 + 1] ?? this._zeros[level - 1], ) } } /** * Get merkle proof for a leaf * @param index Leaf index to generate proof for * @returns {{pathElements: Object[], pathIndex: number[]}} An object containing adjacent elements and left-right index */ proof(index) { if (index < 0 || index >= this._layers[0].length) { throw new Error('Index out of bounds: ' + index) } const pathElements = [] const pathIndex = [] for (let level = 0; level < this.levels; level++) { pathIndex[level] = index % 2 pathElements[level] = this._layers[level]?.[index ^ 1] ?? this._zeros[level] index >>= 1 } return { pathElements, pathIndex, } } /** * Find an element in the tree * @param element An element to find * @returns {number} Index if element is found, otherwise -1 */ indexOf(element) { return this._layers[0].indexOf(element) } } module.exports = MerkleTree