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224 lines
9.2 KiB
Solidity
224 lines
9.2 KiB
Solidity
// SPDX-License-Identifier: MIT
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// OpenZeppelin Contracts (last updated v4.8.0) (utils/cryptography/MerkleProof.sol)
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pragma solidity ^0.8.0;
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/**
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* @dev These functions deal with verification of Merkle Tree proofs.
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*
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* The tree and the proofs can be generated using our
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* https://github.com/OpenZeppelin/merkle-tree[JavaScript library].
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* You will find a quickstart guide in the readme.
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*
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* WARNING: You should avoid using leaf values that are 64 bytes long prior to
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* hashing, or use a hash function other than keccak256 for hashing leaves.
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* This is because the concatenation of a sorted pair of internal nodes in
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* the merkle tree could be reinterpreted as a leaf value.
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* OpenZeppelin's JavaScript library generates merkle trees that are safe
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* against this attack out of the box.
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*/
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library MerkleProof {
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/**
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* @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree
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* defined by `root`. For this, a `proof` must be provided, containing
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* sibling hashes on the branch from the leaf to the root of the tree. Each
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* pair of leaves and each pair of pre-images are assumed to be sorted.
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*/
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function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
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return processProof(proof, leaf) == root;
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}
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/**
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* @dev Calldata version of {verify}
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*
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* _Available since v4.7._
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*/
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function verifyCalldata(bytes32[] calldata proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {
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return processProofCalldata(proof, leaf) == root;
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}
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/**
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* @dev Returns the rebuilt hash obtained by traversing a Merkle tree up
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* from `leaf` using `proof`. A `proof` is valid if and only if the rebuilt
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* hash matches the root of the tree. When processing the proof, the pairs
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* of leafs & pre-images are assumed to be sorted.
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*
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* _Available since v4.4._
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*/
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function processProof(bytes32[] memory proof, bytes32 leaf) internal pure returns (bytes32) {
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bytes32 computedHash = leaf;
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for (uint256 i = 0; i < proof.length; i++) {
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computedHash = _hashPair(computedHash, proof[i]);
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}
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return computedHash;
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}
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/**
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* @dev Calldata version of {processProof}
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*
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* _Available since v4.7._
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*/
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function processProofCalldata(bytes32[] calldata proof, bytes32 leaf) internal pure returns (bytes32) {
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bytes32 computedHash = leaf;
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for (uint256 i = 0; i < proof.length; i++) {
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computedHash = _hashPair(computedHash, proof[i]);
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}
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return computedHash;
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}
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/**
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* @dev Returns true if the `leaves` can be simultaneously proven to be a part of a merkle tree defined by
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* `root`, according to `proof` and `proofFlags` as described in {processMultiProof}.
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*
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* CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
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*
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* _Available since v4.7._
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*/
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function multiProofVerify(
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bytes32[] memory proof,
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bool[] memory proofFlags,
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bytes32 root,
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bytes32[] memory leaves
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) internal pure returns (bool) {
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return processMultiProof(proof, proofFlags, leaves) == root;
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}
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/**
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* @dev Calldata version of {multiProofVerify}
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*
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* CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
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*
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* _Available since v4.7._
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*/
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function multiProofVerifyCalldata(
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bytes32[] calldata proof,
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bool[] calldata proofFlags,
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bytes32 root,
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bytes32[] memory leaves
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) internal pure returns (bool) {
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return processMultiProofCalldata(proof, proofFlags, leaves) == root;
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}
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/**
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* @dev Returns the root of a tree reconstructed from `leaves` and sibling nodes in `proof`. The reconstruction
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* proceeds by incrementally reconstructing all inner nodes by combining a leaf/inner node with either another
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* leaf/inner node or a proof sibling node, depending on whether each `proofFlags` item is true or false
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* respectively.
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*
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* CAUTION: Not all merkle trees admit multiproofs. To use multiproofs, it is sufficient to ensure that: 1) the tree
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* is complete (but not necessarily perfect), 2) the leaves to be proven are in the opposite order they are in the
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* tree (i.e., as seen from right to left starting at the deepest layer and continuing at the next layer).
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*
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* _Available since v4.7._
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*/
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function processMultiProof(
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bytes32[] memory proof,
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bool[] memory proofFlags,
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bytes32[] memory leaves
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) internal pure returns (bytes32 merkleRoot) {
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// This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
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// consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
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// `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
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// the merkle tree.
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uint256 leavesLen = leaves.length;
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uint256 totalHashes = proofFlags.length;
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// Check proof validity.
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require(leavesLen + proof.length - 1 == totalHashes, "MerkleProof: invalid multiproof");
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// The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
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// `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
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bytes32[] memory hashes = new bytes32[](totalHashes);
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uint256 leafPos = 0;
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uint256 hashPos = 0;
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uint256 proofPos = 0;
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// At each step, we compute the next hash using two values:
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// - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
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// get the next hash.
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// - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
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// `proof` array.
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for (uint256 i = 0; i < totalHashes; i++) {
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bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
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bytes32 b = proofFlags[i]
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? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
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: proof[proofPos++];
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hashes[i] = _hashPair(a, b);
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}
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if (totalHashes > 0) {
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unchecked {
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return hashes[totalHashes - 1];
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}
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} else if (leavesLen > 0) {
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return leaves[0];
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} else {
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return proof[0];
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}
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}
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/**
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* @dev Calldata version of {processMultiProof}.
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*
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* CAUTION: Not all merkle trees admit multiproofs. See {processMultiProof} for details.
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*
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* _Available since v4.7._
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*/
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function processMultiProofCalldata(
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bytes32[] calldata proof,
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bool[] calldata proofFlags,
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bytes32[] memory leaves
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) internal pure returns (bytes32 merkleRoot) {
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// This function rebuilds the root hash by traversing the tree up from the leaves. The root is rebuilt by
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// consuming and producing values on a queue. The queue starts with the `leaves` array, then goes onto the
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// `hashes` array. At the end of the process, the last hash in the `hashes` array should contain the root of
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// the merkle tree.
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uint256 leavesLen = leaves.length;
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uint256 totalHashes = proofFlags.length;
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// Check proof validity.
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require(leavesLen + proof.length - 1 == totalHashes, "MerkleProof: invalid multiproof");
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// The xxxPos values are "pointers" to the next value to consume in each array. All accesses are done using
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// `xxx[xxxPos++]`, which return the current value and increment the pointer, thus mimicking a queue's "pop".
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bytes32[] memory hashes = new bytes32[](totalHashes);
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uint256 leafPos = 0;
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uint256 hashPos = 0;
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uint256 proofPos = 0;
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// At each step, we compute the next hash using two values:
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// - a value from the "main queue". If not all leaves have been consumed, we get the next leaf, otherwise we
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// get the next hash.
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// - depending on the flag, either another value from the "main queue" (merging branches) or an element from the
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// `proof` array.
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for (uint256 i = 0; i < totalHashes; i++) {
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bytes32 a = leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++];
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bytes32 b = proofFlags[i]
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? (leafPos < leavesLen ? leaves[leafPos++] : hashes[hashPos++])
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: proof[proofPos++];
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hashes[i] = _hashPair(a, b);
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}
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if (totalHashes > 0) {
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unchecked {
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return hashes[totalHashes - 1];
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}
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} else if (leavesLen > 0) {
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return leaves[0];
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} else {
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return proof[0];
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}
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}
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function _hashPair(bytes32 a, bytes32 b) private pure returns (bytes32) {
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return a < b ? _efficientHash(a, b) : _efficientHash(b, a);
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}
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function _efficientHash(bytes32 a, bytes32 b) private pure returns (bytes32 value) {
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/// @solidity memory-safe-assembly
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assembly {
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mstore(0x00, a)
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mstore(0x20, b)
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value := keccak256(0x00, 0x40)
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}
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}
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}
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