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// SPDX-License-Identifier: MIT
pragma solidity 0.8.17;

/**
 * @title MerkleVerifier
 * @dev Utility functions for Merkle tree computations
 */
library MerkleVerifier {
    error InvalidProof();

    /**
     * @dev Verify the merkle proof
     * @param leaf leaf
     * @param root root
     * @param proof proof
     */
    function _verifyProof(
        bytes32 leaf,
        bytes32 root,
        bytes32[] memory proof
    ) public pure {
        bytes32 computedRoot = _computeRoot(leaf, proof);
        if (computedRoot != root) {
            revert InvalidProof();
        }
    }

    /**
     * @dev Compute the merkle root
     * @param leaf leaf
     * @param proof proof
     */
    function _computeRoot(
        bytes32 leaf,
        bytes32[] memory proof
    ) public pure returns (bytes32) {
        bytes32 computedHash = leaf;
        for (uint256 i = 0; i < proof.length; i++) {
            bytes32 proofElement = proof[i];
            computedHash = _hashPair(computedHash, proofElement);
        }
        return computedHash;
    }

    function _hashPair(bytes32 a, bytes32 b) private pure returns (bytes32) {
        return a < b ? _efficientHash(a, b) : _efficientHash(b, a);
    }

    function _efficientHash(
        bytes32 a,
        bytes32 b
    ) private pure returns (bytes32 value) {
        assembly {
            mstore(0x00, a)
            mstore(0x20, b)
            value := keccak256(0x00, 0x40)
        }
    }
}

{
  "metadata": {
    "bytecodeHash": "none"
  },
  "optimizer": {
    "enabled": true,
    "runs": 800
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

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[{"inputs":[],"name":"InvalidProof","type":"error"},{"inputs":[{"internalType":"bytes32","name":"leaf","type":"bytes32"},{"internalType":"bytes32[]","name":"proof","type":"bytes32[]"}],"name":"_computeRoot","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"bytes32","name":"leaf","type":"bytes32"},{"internalType":"bytes32","name":"root","type":"bytes32"},{"internalType":"bytes32[]","name":"proof","type":"bytes32[]"}],"name":"_verifyProof","outputs":[],"stateMutability":"pure","type":"function"}]

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