// File: contracts/bridges/L1_ETH_Bridge.sol



// SPDX-License-Identifier: MIT

pragma solidity 0.6.12;
pragma experimental ABIEncoderV2;

import "./L1_Bridge.sol";

/**
 * @dev A L1_Bridge that uses an ETH as the canonical token
 */

contract L1_ETH_Bridge is L1_Bridge {
    constructor (address[] memory bonders, address _governance) public L1_Bridge(bonders, _governance) {}

    /* ========== Override Functions ========== */

    function _transferFromBridge(address recipient, uint256 amount) internal override {
        (bool success, ) = recipient.call{value: amount}(new bytes(0));
        require(success, 'L1_ETH_BRG: ETH transfer failed');
    }

    function _transferToBridge(address /*from*/, uint256 amount) internal override {
        require(msg.value == amount, "L1_ETH_BRG: Value does not match amount");
    }
}

// File: contracts/bridges/L1_Bridge.sol



// SPDX-License-Identifier: MIT

pragma solidity 0.6.12;
pragma experimental ABIEncoderV2;

import "./Bridge.sol";
import "../interfaces/IMessengerWrapper.sol";

/**
 * @dev L1_Bridge is responsible for the bonding and challenging of TransferRoots. All TransferRoots
 * originate in the L1_Bridge through `bondTransferRoot` and are propagated up to destination L2s.
 */

abstract contract L1_Bridge is Bridge {

    struct TransferBond {
        address bonder;
        uint256 createdAt;
        uint256 totalAmount;
        uint256 challengeStartTime;
        address challenger;
        bool challengeResolved;
    }

    /* ========== State ========== */

    mapping(uint256 => mapping(bytes32 => uint256)) public transferRootCommittedAt;
    mapping(bytes32 => TransferBond) public transferBonds;
    mapping(uint256 => mapping(address => uint256)) public timeSlotToAmountBonded;
    mapping(uint256 => uint256) public chainBalance;

    /* ========== Config State ========== */

    address public governance;
    mapping(uint256 => IMessengerWrapper) public crossDomainMessengerWrappers;
    mapping(uint256 => bool) public isChainIdPaused;
    uint256 public challengePeriod = 1 days;
    uint256 public challengeResolutionPeriod = 10 days;
    uint256 public minTransferRootBondDelay = 15 minutes;
    
    uint256 public constant CHALLENGE_AMOUNT_DIVISOR = 10;
    uint256 public constant TIME_SLOT_SIZE = 4 hours;

    /* ========== Events ========== */

    event TransferSentToL2(
        uint256 indexed chainId,
        address indexed recipient,
        uint256 amount,
        uint256 amountOutMin,
        uint256 deadline,
        address indexed relayer,
        uint256 relayerFee
    );

    event TransferRootBonded (
        bytes32 indexed root,
        uint256 amount
    );

    event TransferRootConfirmed(
        uint256 indexed originChainId,
        uint256 indexed destinationChainId,
        bytes32 indexed rootHash,
        uint256 totalAmount
    );

    event TransferBondChallenged(
        bytes32 indexed transferRootId,
        bytes32 indexed rootHash,
        uint256 originalAmount
    );

    event ChallengeResolved(
        bytes32 indexed transferRootId,
        bytes32 indexed rootHash,
        uint256 originalAmount
    );

    /* ========== Modifiers ========== */

    modifier onlyL2Bridge(uint256 chainId) {
        IMessengerWrapper messengerWrapper = crossDomainMessengerWrappers[chainId];
        messengerWrapper.verifySender(msg.sender, msg.data);
        _;
    }

    constructor (address[] memory bonders, address _governance) public Bridge(bonders) {
        governance = _governance;
    }

    /* ========== Send Functions ========== */

    /**
     * @notice `amountOutMin` and `deadline` should be 0 when no swap is intended at the destination.
     * @notice `amount` is the total amount the user wants to send including the relayer fee
     * @dev Send tokens to a supported layer-2 to mint hToken and optionally swap the hToken in the
     * AMM at the destination.
     * @param chainId The chainId of the destination chain
     * @param recipient The address receiving funds at the destination
     * @param amount The amount being sent
     * @param amountOutMin The minimum amount received after attempting to swap in the destination
     * AMM market. 0 if no swap is intended.
     * @param deadline The deadline for swapping in the destination AMM market. 0 if no
     * swap is intended.
     * @param relayer The address of the relayer at the destination.
     * @param relayerFee The amount distributed to the relayer at the destination. This is subtracted from the `amount`.
     */
    function sendToL2(
        uint256 chainId,
        address recipient,
        uint256 amount,
        uint256 amountOutMin,
        uint256 deadline,
        address relayer,
        uint256 relayerFee
    )
        external
        payable
    {
        IMessengerWrapper messengerWrapper = crossDomainMessengerWrappers[chainId];
        require(messengerWrapper != IMessengerWrapper(0), "L1_BRG: chainId not supported");
        require(isChainIdPaused[chainId] == false, "L1_BRG: Sends to this chainId are paused");
        require(amount > 0, "L1_BRG: Must transfer a non-zero amount");
        require(amount >= relayerFee, "L1_BRG: Relayer fee cannot exceed amount");

        _transferToBridge(msg.sender, amount);

        bytes memory message = abi.encodeWithSignature(
            "distribute(address,uint256,uint256,uint256,address,uint256)",
            recipient,
            amount,
            amountOutMin,
            deadline,
            relayer,
            relayerFee
        );

        chainBalance[chainId] = chainBalance[chainId].add(amount);
        messengerWrapper.sendCrossDomainMessage(message);

        emit TransferSentToL2(
            chainId,
            recipient,
            amount,
            amountOutMin,
            deadline,
            relayer,
            relayerFee
        );
    }

    /* ========== TransferRoot Functions ========== */

    /**
     * @dev Setting a TransferRoot is a two step process.
     * @dev   1. The TransferRoot is bonded with `bondTransferRoot`. Withdrawals can now begin on L1
     * @dev      and recipient L2's
     * @dev   2. The TransferRoot is confirmed after `confirmTransferRoot` is called by the l2 bridge
     * @dev      where the TransferRoot originated.
     */

    /**
     * @dev Used by the Bonder to bond a TransferRoot and propagate it up to destination L2s
     * @param rootHash The Merkle root of the TransferRoot Merkle tree
     * @param destinationChainId The id of the destination chain
     * @param totalAmount The amount destined for the destination chain
     */
    function bondTransferRoot(
        bytes32 rootHash,
        uint256 destinationChainId,
        uint256 totalAmount
    )
        external
        onlyBonder
        requirePositiveBalance
    {
        bytes32 transferRootId = getTransferRootId(rootHash, totalAmount);
        require(transferRootCommittedAt[destinationChainId][transferRootId] == 0, "L1_BRG: TransferRoot has already been confirmed");
        require(transferBonds[transferRootId].createdAt == 0, "L1_BRG: TransferRoot has already been bonded");

        uint256 currentTimeSlot = getTimeSlot(block.timestamp);
        uint256 bondAmount = getBondForTransferAmount(totalAmount);
        timeSlotToAmountBonded[currentTimeSlot][msg.sender] = timeSlotToAmountBonded[currentTimeSlot][msg.sender].add(bondAmount);

        transferBonds[transferRootId] = TransferBond(
            msg.sender,
            block.timestamp,
            totalAmount,
            uint256(0),
            address(0),
            false
        );

        _distributeTransferRoot(rootHash, destinationChainId, totalAmount);

        emit TransferRootBonded(rootHash, totalAmount);
    }

    /**
     * @dev Used by an L2 bridge to confirm a TransferRoot via cross-domain message. Once a TransferRoot
     * has been confirmed, any challenge against that TransferRoot can be resolved as unsuccessful.
     * @param originChainId The id of the origin chain
     * @param rootHash The Merkle root of the TransferRoot Merkle tree
     * @param destinationChainId The id of the destination chain
     * @param totalAmount The amount destined for each destination chain
     * @param rootCommittedAt The block timestamp when the TransferRoot was committed on its origin chain
     */
    function confirmTransferRoot(
        uint256 originChainId,
        bytes32 rootHash,
        uint256 destinationChainId,
        uint256 totalAmount,
        uint256 rootCommittedAt
    )
        external
        onlyL2Bridge(originChainId)
    {
        bytes32 transferRootId = getTransferRootId(rootHash, totalAmount);
        require(transferRootCommittedAt[destinationChainId][transferRootId] == 0, "L1_BRG: TransferRoot already confirmed");
        require(rootCommittedAt > 0, "L1_BRG: rootCommittedAt must be greater than 0");
        transferRootCommittedAt[destinationChainId][transferRootId] = rootCommittedAt;
        chainBalance[originChainId] = chainBalance[originChainId].sub(totalAmount, "L1_BRG: Amount exceeds chainBalance. This indicates a layer-2 failure.");

        // If the TransferRoot was never bonded, distribute the TransferRoot.
        TransferBond storage transferBond = transferBonds[transferRootId];
        if (transferBond.createdAt == 0) {
            _distributeTransferRoot(rootHash, destinationChainId, totalAmount);
        }

        emit TransferRootConfirmed(originChainId, destinationChainId, rootHash, totalAmount);
    }

    function _distributeTransferRoot(
        bytes32 rootHash,
        uint256 chainId,
        uint256 totalAmount
    )
        internal
    {
        // Set TransferRoot on recipient Bridge
        if (chainId == getChainId()) {
            // Set L1 TransferRoot
            _setTransferRoot(rootHash, totalAmount);
        } else {
            chainBalance[chainId] = chainBalance[chainId].add(totalAmount);

            IMessengerWrapper messengerWrapper = crossDomainMessengerWrappers[chainId];
            require(messengerWrapper != IMessengerWrapper(0), "L1_BRG: chainId not supported");

            // Set L2 TransferRoot
            bytes memory setTransferRootMessage = abi.encodeWithSignature(
                "setTransferRoot(bytes32,uint256)",
                rootHash,
                totalAmount
            );
            messengerWrapper.sendCrossDomainMessage(setTransferRootMessage);
        }
    }

    /* ========== External TransferRoot Challenges ========== */

    /**
     * @dev Challenge a TransferRoot believed to be fraudulent
     * @param rootHash The Merkle root of the TransferRoot Merkle tree
     * @param originalAmount The total amount bonded for this TransferRoot
     * @param destinationChainId The id of the destination chain
     */
    function challengeTransferBond(bytes32 rootHash, uint256 originalAmount, uint256 destinationChainId) external payable {
        bytes32 transferRootId = getTransferRootId(rootHash, originalAmount);
        TransferBond storage transferBond = transferBonds[transferRootId];

        require(transferRootCommittedAt[destinationChainId][transferRootId] == 0, "L1_BRG: TransferRoot has already been confirmed");
        require(transferBond.createdAt != 0, "L1_BRG: TransferRoot has not been bonded");
        uint256 challengePeriodEnd = transferBond.createdAt.add(challengePeriod);
        require(challengePeriodEnd >= block.timestamp, "L1_BRG: TransferRoot cannot be challenged after challenge period");
        require(transferBond.challengeStartTime == 0, "L1_BRG: TransferRoot already challenged");

        transferBond.challengeStartTime = block.timestamp;
        transferBond.challenger = msg.sender;

        // Move amount from timeSlotToAmountBonded to debit
        uint256 timeSlot = getTimeSlot(transferBond.createdAt);
        uint256 bondAmount = getBondForTransferAmount(originalAmount);
        address bonder = transferBond.bonder;
        timeSlotToAmountBonded[timeSlot][bonder] = timeSlotToAmountBonded[timeSlot][bonder].sub(bondAmount);

        _addDebit(transferBond.bonder, bondAmount);

        // Get stake for challenge
        uint256 challengeStakeAmount = getChallengeAmountForTransferAmount(originalAmount);
        _transferToBridge(msg.sender, challengeStakeAmount);

        emit TransferBondChallenged(transferRootId, rootHash, originalAmount);
    }

    /**
     * @dev Resolve a challenge after the `challengeResolutionPeriod` has passed
     * @param rootHash The Merkle root of the TransferRoot Merkle tree
     * @param originalAmount The total amount originally bonded for this TransferRoot
     * @param destinationChainId The id of the destination chain
     */
    function resolveChallenge(bytes32 rootHash, uint256 originalAmount, uint256 destinationChainId) external {
        bytes32 transferRootId = getTransferRootId(rootHash, originalAmount);
        TransferBond storage transferBond = transferBonds[transferRootId];

        require(transferBond.challengeStartTime != 0, "L1_BRG: TransferRoot has not been challenged");
        require(block.timestamp > transferBond.challengeStartTime.add(challengeResolutionPeriod), "L1_BRG: Challenge period has not ended");
        require(transferBond.challengeResolved == false, "L1_BRG: TransferRoot already resolved");
        transferBond.challengeResolved = true;

        uint256 challengeStakeAmount = getChallengeAmountForTransferAmount(originalAmount);

        if (transferRootCommittedAt[destinationChainId][transferRootId] > 0) {
            // Invalid challenge

            if (transferBond.createdAt > transferRootCommittedAt[destinationChainId][transferRootId].add(minTransferRootBondDelay)) {
                // Credit the bonder back with the bond amount plus the challenger's stake
                _addCredit(transferBond.bonder, getBondForTransferAmount(originalAmount).add(challengeStakeAmount));
            } else {
                // If the TransferRoot was bonded before it was committed, the challenger and Bonder
                // get their stake back. This discourages Bonders from tricking challengers into
                // challenging a valid TransferRoots that haven't yet been committed. It also ensures
                // that Bonders are not punished if a TransferRoot is bonded too soon in error.

                // Return the challenger's stake
                _addCredit(transferBond.challenger, challengeStakeAmount);
                // Credit the bonder back with the bond amount
                _addCredit(transferBond.bonder, getBondForTransferAmount(originalAmount));
            }
        } else {
            // Valid challenge
            // Burn 25% of the challengers stake
            _transferFromBridge(address(0xdead), challengeStakeAmount.mul(1).div(4));
            // Reward challenger with the remaining 75% of their stake plus 100% of the Bonder's stake
            _addCredit(transferBond.challenger, challengeStakeAmount.mul(7).div(4));
        }

        emit ChallengeResolved(transferRootId, rootHash, originalAmount);
    }

    /* ========== Override Functions ========== */

    function _additionalDebit(address bonder) internal view override returns (uint256) {
        uint256 currentTimeSlot = getTimeSlot(block.timestamp);
        uint256 bonded = 0;

        uint256 numTimeSlots = challengePeriod / TIME_SLOT_SIZE;
        for (uint256 i = 0; i < numTimeSlots; i++) {
            bonded = bonded.add(timeSlotToAmountBonded[currentTimeSlot - i][bonder]);
        }

        return bonded;
    }

    function _requireIsGovernance() internal override {
        require(governance == msg.sender, "L1_BRG: Caller is not the owner");
    }

    /* ========== External Config Management Setters ========== */

    function setGovernance(address _newGovernance) external onlyGovernance {
        require(_newGovernance != address(0), "L1_BRG: _newGovernance cannot be address(0)");
        governance = _newGovernance;
    }

    function setCrossDomainMessengerWrapper(uint256 chainId, IMessengerWrapper _crossDomainMessengerWrapper) external onlyGovernance {
        crossDomainMessengerWrappers[chainId] = _crossDomainMessengerWrapper;
    }

    function setChainIdDepositsPaused(uint256 chainId, bool isPaused) external onlyGovernance {
        isChainIdPaused[chainId] = isPaused;
    }

    function setChallengePeriod(uint256 _challengePeriod) external onlyGovernance {
        require(_challengePeriod % TIME_SLOT_SIZE == 0, "L1_BRG: challengePeriod must be divisible by TIME_SLOT_SIZE");

        challengePeriod = _challengePeriod;
    }

    function setChallengeResolutionPeriod(uint256 _challengeResolutionPeriod) external onlyGovernance {
        challengeResolutionPeriod = _challengeResolutionPeriod;
    }

    function setMinTransferRootBondDelay(uint256 _minTransferRootBondDelay) external onlyGovernance {
        minTransferRootBondDelay = _minTransferRootBondDelay;
    }

    /* ========== Public Getters ========== */

    function getBondForTransferAmount(uint256 amount) public pure returns (uint256) {
        // Bond covers amount plus a bounty to pay a potential challenger
        return amount.add(getChallengeAmountForTransferAmount(amount));
    }

    function getChallengeAmountForTransferAmount(uint256 amount) public pure returns (uint256) {
        // Bond covers amount plus a bounty to pay a potential challenger
        return amount.div(CHALLENGE_AMOUNT_DIVISOR);
    }

    function getTimeSlot(uint256 time) public pure returns (uint256) {
        return time / TIME_SLOT_SIZE;
    }
}

// File: contracts/bridges/Bridge.sol



// SPDX-License-Identifier: MIT

pragma solidity 0.6.12;
pragma experimental ABIEncoderV2;

import "./Accounting.sol";
import "../libraries/Lib_MerkleTree.sol";

/**
 * @dev Bridge extends the accounting system and encapsulates the logic that is shared by both the
 * L1 and L2 Bridges. It allows to TransferRoots to be set by parent contracts and for those
 * TransferRoots to be withdrawn against. It also allows the bonder to bond and withdraw Transfers
 * directly through `bondWithdrawal` and then settle those bonds against their TransferRoot once it
 * has been set.
 */

abstract contract Bridge is Accounting {
    using Lib_MerkleTree for bytes32;

    struct TransferRoot {
        uint256 total;
        uint256 amountWithdrawn;
        uint256 createdAt;
    }

    /* ========== Events ========== */

    event Withdrew(
        bytes32 indexed transferId,
        address indexed recipient,
        uint256 amount,
        bytes32 transferNonce
    );

    event WithdrawalBonded(
        bytes32 indexed transferId,
        uint256 amount
    );

    event WithdrawalBondSettled(
        address indexed bonder,
        bytes32 indexed transferId,
        bytes32 indexed rootHash
    );

    event MultipleWithdrawalsSettled(
        address indexed bonder,
        bytes32 indexed rootHash,
        uint256 totalBondsSettled
    );

    event TransferRootSet(
        bytes32 indexed rootHash,
        uint256 totalAmount
    );

    /* ========== State ========== */

    mapping(bytes32 => TransferRoot) private _transferRoots;
    mapping(bytes32 => bool) private _spentTransferIds;
    mapping(address => mapping(bytes32 => uint256)) private _bondedWithdrawalAmounts;

    uint256 constant RESCUE_DELAY = 8 weeks;

    constructor(address[] memory bonders) public Accounting(bonders) {}

    /* ========== Public Getters ========== */

    /**
     * @dev Get the hash that represents an individual Transfer.
     * @param chainId The id of the destination chain
     * @param recipient The address receiving the Transfer
     * @param amount The amount being transferred including the `_bonderFee`
     * @param transferNonce Used to avoid transferId collisions
     * @param bonderFee The amount paid to the address that withdraws the Transfer
     * @param amountOutMin The minimum amount received after attempting to swap in the destination
     * AMM market. 0 if no swap is intended.
     * @param deadline The deadline for swapping in the destination AMM market. 0 if no
     * swap is intended.
     */
    function getTransferId(
        uint256 chainId,
        address recipient,
        uint256 amount,
        bytes32 transferNonce,
        uint256 bonderFee,
        uint256 amountOutMin,
        uint256 deadline
    )
        public
        pure
        returns (bytes32)
    {
        return keccak256(abi.encode(
            chainId,
            recipient,
            amount,
            transferNonce,
            bonderFee,
            amountOutMin,
            deadline
        ));
    }

    /**
     * @notice getChainId can be overridden by subclasses if needed for compatibility or testing purposes.
     * @dev Get the current chainId
     * @return chainId The current chainId
     */
    function getChainId() public virtual view returns (uint256 chainId) {
        this; // Silence state mutability warning without generating any additional byte code
        assembly {
            chainId := chainid()
        }
    }

    /**
     * @dev Get the TransferRoot id for a given rootHash and totalAmount
     * @param rootHash The Merkle root of the TransferRoot
     * @param totalAmount The total of all Transfers in the TransferRoot
     * @return The calculated transferRootId
     */
    function getTransferRootId(bytes32 rootHash, uint256 totalAmount) public pure returns (bytes32) {
        return keccak256(abi.encodePacked(rootHash, totalAmount));
    }

    /**
     * @dev Get the TransferRoot for a given rootHash and totalAmount
     * @param rootHash The Merkle root of the TransferRoot
     * @param totalAmount The total of all Transfers in the TransferRoot
     * @return The TransferRoot with the calculated transferRootId
     */
    function getTransferRoot(bytes32 rootHash, uint256 totalAmount) public view returns (TransferRoot memory) {
        return _transferRoots[getTransferRootId(rootHash, totalAmount)];
    }

    /**
     * @dev Get the amount bonded for the withdrawal of a transfer
     * @param bonder The Bonder of the withdrawal
     * @param transferId The Transfer's unique identifier
     * @return The amount bonded for a Transfer withdrawal
     */
    function getBondedWithdrawalAmount(address bonder, bytes32 transferId) external view returns (uint256) {
        return _bondedWithdrawalAmounts[bonder][transferId];
    }

    /**
     * @dev Get the spent status of a transfer ID
     * @param transferId The transfer's unique identifier
     * @return True if the transferId has been spent
     */
    function isTransferIdSpent(bytes32 transferId) external view returns (bool) {
        return _spentTransferIds[transferId];
    }

    /* ========== User/Relayer External Functions ========== */

    /**
     * @notice Can be called by anyone (recipient or relayer)
     * @dev Withdraw a Transfer from its destination bridge
     * @param recipient The address receiving the Transfer
     * @param amount The amount being transferred including the `_bonderFee`
     * @param transferNonce Used to avoid transferId collisions
     * @param bonderFee The amount paid to the address that withdraws the Transfer
     * @param amountOutMin The minimum amount received after attempting to swap in the destination
     * AMM market. 0 if no swap is intended. (only used to calculate `transferId` in this function)
     * @param deadline The deadline for swapping in the destination AMM market. 0 if no
     * swap is intended. (only used to calculate `transferId` in this function)
     * @param rootHash The Merkle root of the TransferRoot
     * @param transferRootTotalAmount The total amount being transferred in a TransferRoot
     * @param transferIdTreeIndex The index of the transferId in the Merkle tree
     * @param siblings The siblings of the transferId in the Merkle tree
     * @param totalLeaves The total number of leaves in the Merkle tree
     */
    function withdraw(
        address recipient,
        uint256 amount,
        bytes32 transferNonce,
        uint256 bonderFee,
        uint256 amountOutMin,
        uint256 deadline,
        bytes32 rootHash,
        uint256 transferRootTotalAmount,
        uint256 transferIdTreeIndex,
        bytes32[] calldata siblings,
        uint256 totalLeaves
    )
        external
        nonReentrant
    {
        bytes32 transferId = getTransferId(
            getChainId(),
            recipient,
            amount,
            transferNonce,
            bonderFee,
            amountOutMin,
            deadline
        );

        require(
            rootHash.verify(
                transferId,
                transferIdTreeIndex,
                siblings,
                totalLeaves
            )
        , "BRG: Invalid transfer proof");
        bytes32 transferRootId = getTransferRootId(rootHash, transferRootTotalAmount);
        _addToAmountWithdrawn(transferRootId, amount);
        _fulfillWithdraw(transferId, recipient, amount, uint256(0));

        emit Withdrew(transferId, recipient, amount, transferNonce);
    }

    /**
     * @dev Allows the bonder to bond individual withdrawals before their TransferRoot has been committed.
     * @param recipient The address receiving the Transfer
     * @param amount The amount being transferred including the `_bonderFee`
     * @param transferNonce Used to avoid transferId collisions
     * @param bonderFee The amount paid to the address that withdraws the Transfer
     */
    function bondWithdrawal(
        address recipient,
        uint256 amount,
        bytes32 transferNonce,
        uint256 bonderFee
    )
        external
        onlyBonder
        requirePositiveBalance
        nonReentrant
    {
        bytes32 transferId = getTransferId(
            getChainId(),
            recipient,
            amount,
            transferNonce,
            bonderFee,
            0,
            0
        );

        _bondWithdrawal(transferId, amount);
        _fulfillWithdraw(transferId, recipient, amount, bonderFee);
    }

    /**
     * @dev Refunds the Bonder's stake from a bonded withdrawal and counts that withdrawal against
     * its TransferRoot.
     * @param bonder The Bonder of the withdrawal
     * @param transferId The Transfer's unique identifier
     * @param rootHash The Merkle root of the TransferRoot
     * @param transferRootTotalAmount The total amount being transferred in a TransferRoot
     * @param transferIdTreeIndex The index of the transferId in the Merkle tree
     * @param siblings The siblings of the transferId in the Merkle tree
     * @param totalLeaves The total number of leaves in the Merkle tree
     */
    function settleBondedWithdrawal(
        address bonder,
        bytes32 transferId,
        bytes32 rootHash,
        uint256 transferRootTotalAmount,
        uint256 transferIdTreeIndex,
        bytes32[] calldata siblings,
        uint256 totalLeaves
    )
        external
    {
        require(
            rootHash.verify(
                transferId,
                transferIdTreeIndex,
                siblings,
                totalLeaves
            )
        , "BRG: Invalid transfer proof");
        bytes32 transferRootId = getTransferRootId(rootHash, transferRootTotalAmount);

        uint256 amount = _bondedWithdrawalAmounts[bonder][transferId];
        require(amount > 0, "L2_BRG: transferId has no bond");

        _bondedWithdrawalAmounts[bonder][transferId] = 0;
        _addToAmountWithdrawn(transferRootId, amount);
        _addCredit(bonder, amount);

        emit WithdrawalBondSettled(bonder, transferId, rootHash);
    }

    /**
     * @dev Refunds the Bonder for all withdrawals that they bonded in a TransferRoot.
     * @param bonder The address of the Bonder being refunded
     * @param transferIds All transferIds in the TransferRoot in order
     * @param totalAmount The totalAmount of the TransferRoot
     */
    function settleBondedWithdrawals(
        address bonder,
        // transferIds _must_ be calldata or it will be mutated by Lib_MerkleTree.getMerkleRoot
        bytes32[] calldata transferIds,
        uint256 totalAmount
    )
        external
    {
        bytes32 rootHash = Lib_MerkleTree.getMerkleRoot(transferIds);
        bytes32 transferRootId = getTransferRootId(rootHash, totalAmount);

        uint256 totalBondsSettled = 0;
        for(uint256 i = 0; i < transferIds.length; i++) {
            uint256 transferBondAmount = _bondedWithdrawalAmounts[bonder][transferIds[i]];
            if (transferBondAmount > 0) {
                totalBondsSettled = totalBondsSettled.add(transferBondAmount);
                _bondedWithdrawalAmounts[bonder][transferIds[i]] = 0;
            }
        }

        _addToAmountWithdrawn(transferRootId, totalBondsSettled);
        _addCredit(bonder, totalBondsSettled);

        emit MultipleWithdrawalsSettled(bonder, rootHash, totalBondsSettled);
    }

    /* ========== External TransferRoot Rescue ========== */

    /**
     * @dev Allows governance to withdraw the remaining amount from a TransferRoot after the rescue delay has passed.
     * @param rootHash the Merkle root of the TransferRoot
     * @param originalAmount The TransferRoot's recorded total
     * @param recipient The address receiving the remaining balance
     */
    function rescueTransferRoot(bytes32 rootHash, uint256 originalAmount, address recipient) external onlyGovernance {
        bytes32 transferRootId = getTransferRootId(rootHash, originalAmount);
        TransferRoot memory transferRoot = getTransferRoot(rootHash, originalAmount);

        require(transferRoot.createdAt != 0, "BRG: TransferRoot not found");
        assert(transferRoot.total == originalAmount);
        uint256 rescueDelayEnd = transferRoot.createdAt.add(RESCUE_DELAY);
        require(block.timestamp >= rescueDelayEnd, "BRG: TransferRoot cannot be rescued before the Rescue Delay");

        uint256 remainingAmount = transferRoot.total.sub(transferRoot.amountWithdrawn);
        _addToAmountWithdrawn(transferRootId, remainingAmount);
        _transferFromBridge(recipient, remainingAmount);
    }

    /* ========== Internal Functions ========== */

    function _markTransferSpent(bytes32 transferId) internal {
        require(!_spentTransferIds[transferId], "BRG: The transfer has already been withdrawn");
        _spentTransferIds[transferId] = true;
    }

    function _addToAmountWithdrawn(bytes32 transferRootId, uint256 amount) internal {
        TransferRoot storage transferRoot = _transferRoots[transferRootId];
        require(transferRoot.total > 0, "BRG: Transfer root not found");

        uint256 newAmountWithdrawn = transferRoot.amountWithdrawn.add(amount);
        require(newAmountWithdrawn <= transferRoot.total, "BRG: Withdrawal exceeds TransferRoot total");

        transferRoot.amountWithdrawn = newAmountWithdrawn;
    }

    function _setTransferRoot(bytes32 rootHash, uint256 totalAmount) internal {
        bytes32 transferRootId = getTransferRootId(rootHash, totalAmount);
        require(_transferRoots[transferRootId].total == 0, "BRG: Transfer root already set");
        require(totalAmount > 0, "BRG: Cannot set TransferRoot totalAmount of 0");

        _transferRoots[transferRootId] = TransferRoot(totalAmount, 0, block.timestamp);

        emit TransferRootSet(rootHash, totalAmount);
    }

    function _bondWithdrawal(bytes32 transferId, uint256 amount) internal {
        require(_bondedWithdrawalAmounts[msg.sender][transferId] == 0, "BRG: Withdrawal has already been bonded");
        _addDebit(msg.sender, amount);
        _bondedWithdrawalAmounts[msg.sender][transferId] = amount;

        emit WithdrawalBonded(transferId, amount);
    }

    /* ========== Private Functions ========== */

    /// @dev Completes the Transfer, distributes the Bonder fee and marks the Transfer as spent.
    function _fulfillWithdraw(
        bytes32 transferId,
        address recipient,
        uint256 amount,
        uint256 bonderFee
    ) private {
        _markTransferSpent(transferId);
        _transferFromBridge(recipient, amount.sub(bonderFee));
        if (bonderFee > 0) {
            _transferFromBridge(msg.sender, bonderFee);
        }
    }
}

// File: contracts/interfaces/IMessengerWrapper.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.12 <0.8.0;
pragma experimental ABIEncoderV2;

interface IMessengerWrapper {
    function sendCrossDomainMessage(bytes memory _calldata) external;
    function verifySender(address l1BridgeCaller, bytes memory _data) external;
}

// File: contracts/bridges/Accounting.sol



// SPDX-License-Identifier: MIT

pragma solidity 0.6.12;
pragma experimental ABIEncoderV2;

import "@openzeppelin/contracts/math/SafeMath.sol";
import "@openzeppelin/contracts/utils/ReentrancyGuard.sol";

/**
 * @dev Accounting is an abstract contract that encapsulates the most critical logic in the Hop contracts.
 * The accounting system works by using two balances that can only increase `_credit` and `_debit`.
 * A bonder's available balance is the total credit minus the total debit. The contract exposes
 * two external functions that allows a bonder to stake and unstake and exposes two internal
 * functions to its child contracts that allow the child contract to add to the credit 
 * and debit balance. In addition, child contracts can override `_additionalDebit` to account
 * for any additional debit balance in an alternative way. Lastly, it exposes a modifier,
 * `requirePositiveBalance`, that can be used by child contracts to ensure the bonder does not
 * use more than its available stake.
 */

abstract contract Accounting is ReentrancyGuard {
    using SafeMath for uint256;

    mapping(address => bool) private _isBonder;

    mapping(address => uint256) private _credit;
    mapping(address => uint256) private _debit;

    event Stake (
        address indexed account,
        uint256 amount
    );

    event Unstake (
        address indexed account,
        uint256 amount
    );

    event BonderAdded (
        address indexed newBonder
    );

    event BonderRemoved (
        address indexed previousBonder
    );

    /* ========== Modifiers ========== */

    modifier onlyBonder {
        require(_isBonder[msg.sender], "ACT: Caller is not bonder");
        _;
    }

    modifier onlyGovernance {
        _requireIsGovernance();
        _;
    }

    /// @dev Used by parent contract to ensure that the Bonder is solvent at the end of the transaction.
    modifier requirePositiveBalance {
        _;
        require(getCredit(msg.sender) >= getDebitAndAdditionalDebit(msg.sender), "ACT: Not enough available credit");
    }

    /// @dev Sets the Bonder addresses
    constructor(address[] memory bonders) public {
        for (uint256 i = 0; i < bonders.length; i++) {
            require(_isBonder[bonders[i]] == false, "ACT: Cannot add duplicate bonder");
            _isBonder[bonders[i]] = true;
            emit BonderAdded(bonders[i]);
        }
    }

    /* ========== Virtual functions ========== */
    /**
     * @dev The following functions are overridden in L1_Bridge and L2_Bridge
     */
    function _transferFromBridge(address recipient, uint256 amount) internal virtual;
    function _transferToBridge(address from, uint256 amount) internal virtual;
    function _requireIsGovernance() internal virtual;

    /**
     * @dev This function can be optionally overridden by a parent contract to track any additional
     * debit balance in an alternative way.
     */
    function _additionalDebit(address /*bonder*/) internal view virtual returns (uint256) {
        this; // Silence state mutability warning without generating any additional byte code
        return 0;
    }

    /* ========== Public/external getters ========== */

    /**
     * @dev Check if address is a Bonder
     * @param maybeBonder The address being checked
     * @return true if address is a Bonder
     */
    function getIsBonder(address maybeBonder) public view returns (bool) {
        return _isBonder[maybeBonder];
    }

    /**
     * @dev Get the Bonder's credit balance
     * @param bonder The owner of the credit balance being checked
     * @return The credit balance for the Bonder
     */
    function getCredit(address bonder) public view returns (uint256) {
        return _credit[bonder];
    }

    /**
     * @dev Gets the debit balance tracked by `_debit` and does not include `_additionalDebit()`
     * @param bonder The owner of the debit balance being checked
     * @return The debit amount for the Bonder
     */
    function getRawDebit(address bonder) external view returns (uint256) {
        return _debit[bonder];
    }

    /**
     * @dev Get the Bonder's total debit
     * @param bonder The owner of the debit balance being checked
     * @return The Bonder's total debit balance
     */
    function getDebitAndAdditionalDebit(address bonder) public view returns (uint256) {
        return _debit[bonder].add(_additionalDebit(bonder));
    }

    /* ========== Bonder external functions ========== */

    /** 
     * @dev Allows the Bonder to deposit tokens and increase its credit balance
     * @param bonder The address being staked on
     * @param amount The amount being staked
     */
    function stake(address bonder, uint256 amount) external payable nonReentrant {
        require(_isBonder[bonder] == true, "ACT: Address is not bonder");
        _transferToBridge(msg.sender, amount);
        _addCredit(bonder, amount);

        emit Stake(bonder, amount);
    }

    /**
     * @dev Allows the caller to withdraw any available balance and add to their debit balance
     * @param amount The amount being unstaked
     */
    function unstake(uint256 amount) external requirePositiveBalance nonReentrant {
        _addDebit(msg.sender, amount);
        _transferFromBridge(msg.sender, amount);

        emit Unstake(msg.sender, amount);
    }

    /**
     * @dev Add Bonder to allowlist
     * @param bonder The address being added as a Bonder
     */
    function addBonder(address bonder) external onlyGovernance {
        require(_isBonder[bonder] == false, "ACT: Address is already bonder");
        _isBonder[bonder] = true;

        emit BonderAdded(bonder);
    }

    /**
     * @dev Remove Bonder from allowlist
     * @param bonder The address being removed as a Bonder
     */
    function removeBonder(address bonder) external onlyGovernance {
        require(_isBonder[bonder] == true, "ACT: Address is not bonder");
        _isBonder[bonder] = false;

        emit BonderRemoved(bonder);
    }

    /* ========== Internal functions ========== */

    function _addCredit(address bonder, uint256 amount) internal {
        _credit[bonder] = _credit[bonder].add(amount);
    }

    function _addDebit(address bonder, uint256 amount) internal {
        _debit[bonder] = _debit[bonder].add(amount);
    }
}

// File: contracts/libraries/Lib_MerkleTree.sol



// SPDX-License-Identifier: MIT
pragma solidity >0.5.0 <0.8.0;

/**
 * @title Lib_MerkleTree
 * @author River Keefer
 */
library Lib_MerkleTree {

    /**********************
     * Internal Functions *
     **********************/

    /**
     * Calculates a merkle root for a list of 32-byte leaf hashes.  WARNING: If the number
     * of leaves passed in is not a power of two, it pads out the tree with zero hashes.
     * If you do not know the original length of elements for the tree you are verifying,
     * then this may allow empty leaves past _elements.length to pass a verification check down the line.
     * Note that the _elements argument is modified, therefore it must not be used again afterwards
     * @param _elements Array of hashes from which to generate a merkle root.
     * @return Merkle root of the leaves, with zero hashes for non-powers-of-two (see above).
     */
    function getMerkleRoot(
        bytes32[] memory _elements
    )
        internal
        pure
        returns (
            bytes32
        )
    {
        require(
            _elements.length > 0,
            "Lib_MerkleTree: Must provide at least one leaf hash."
        );

        if (_elements.length == 1) {
            return _elements[0];
        }

        uint256[16] memory defaults = [
            0x290decd9548b62a8d60345a988386fc84ba6bc95484008f6362f93160ef3e563,
            0x633dc4d7da7256660a892f8f1604a44b5432649cc8ec5cb3ced4c4e6ac94dd1d,
            0x890740a8eb06ce9be422cb8da5cdafc2b58c0a5e24036c578de2a433c828ff7d,
            0x3b8ec09e026fdc305365dfc94e189a81b38c7597b3d941c279f042e8206e0bd8,
            0xecd50eee38e386bd62be9bedb990706951b65fe053bd9d8a521af753d139e2da,
            0xdefff6d330bb5403f63b14f33b578274160de3a50df4efecf0e0db73bcdd3da5,
            0x617bdd11f7c0a11f49db22f629387a12da7596f9d1704d7465177c63d88ec7d7,
            0x292c23a9aa1d8bea7e2435e555a4a60e379a5a35f3f452bae60121073fb6eead,
            0xe1cea92ed99acdcb045a6726b2f87107e8a61620a232cf4d7d5b5766b3952e10,
            0x7ad66c0a68c72cb89e4fb4303841966e4062a76ab97451e3b9fb526a5ceb7f82,
            0xe026cc5a4aed3c22a58cbd3d2ac754c9352c5436f638042dca99034e83636516,
            0x3d04cffd8b46a874edf5cfae63077de85f849a660426697b06a829c70dd1409c,
            0xad676aa337a485e4728a0b240d92b3ef7b3c372d06d189322bfd5f61f1e7203e,
            0xa2fca4a49658f9fab7aa63289c91b7c7b6c832a6d0e69334ff5b0a3483d09dab,
            0x4ebfd9cd7bca2505f7bef59cc1c12ecc708fff26ae4af19abe852afe9e20c862,
            0x2def10d13dd169f550f578bda343d9717a138562e0093b380a1120789d53cf10
        ];

        // Reserve memory space for our hashes.
        bytes memory buf = new bytes(64);

        // We'll need to keep track of left and right siblings.
        bytes32 leftSibling;
        bytes32 rightSibling;

        // Number of non-empty nodes at the current depth.
        uint256 rowSize = _elements.length;

        // Current depth, counting from 0 at the leaves
        uint256 depth = 0;

        // Common sub-expressions
        uint256 halfRowSize;         // rowSize / 2
        bool rowSizeIsOdd;           // rowSize % 2 == 1

        while (rowSize > 1) {
            halfRowSize = rowSize / 2;
            rowSizeIsOdd = rowSize % 2 == 1;

            for (uint256 i = 0; i < halfRowSize; i++) {
                leftSibling  = _elements[(2 * i)    ];
                rightSibling = _elements[(2 * i) + 1];
                assembly {
                    mstore(add(buf, 32), leftSibling )
                    mstore(add(buf, 64), rightSibling)
                }

                _elements[i] = keccak256(buf);
            }

            if (rowSizeIsOdd) {
                leftSibling  = _elements[rowSize - 1];
                rightSibling = bytes32(defaults[depth]);
                assembly {
                    mstore(add(buf, 32), leftSibling)
                    mstore(add(buf, 64), rightSibling)
                }

                _elements[halfRowSize] = keccak256(buf);
            }

            rowSize = halfRowSize + (rowSizeIsOdd ? 1 : 0);
            depth++;
        }

        return _elements[0];
    }

    /**
     * Verifies a merkle branch for the given leaf hash.  Assumes the original length
     * of leaves generated is a known, correct input, and does not return true for indices
     * extending past that index (even if _siblings would be otherwise valid.)
     * @param _root The Merkle root to verify against.
     * @param _leaf The leaf hash to verify inclusion of.
     * @param _index The index in the tree of this leaf.
     * @param _siblings Array of sibline nodes in the inclusion proof, starting from depth 0 (bottom of the tree).
     * @param _totalLeaves The total number of leaves originally passed into.
     * @return Whether or not the merkle branch and leaf passes verification.
     */
    function verify(
        bytes32 _root,
        bytes32 _leaf,
        uint256 _index,
        bytes32[] memory _siblings,
        uint256 _totalLeaves
    )
        internal
        pure
        returns (
            bool
        )
    {
        require(
            _totalLeaves > 0,
            "Lib_MerkleTree: Total leaves must be greater than zero."
        );

        require(
            _index < _totalLeaves,
            "Lib_MerkleTree: Index out of bounds."
        );

        require(
            _siblings.length == _ceilLog2(_totalLeaves),
            "Lib_MerkleTree: Total siblings does not correctly correspond to total leaves."
        );

        bytes32 computedRoot = _leaf;

        for (uint256 i = 0; i < _siblings.length; i++) {
            if ((_index & 1) == 1) {
                computedRoot = keccak256(
                    abi.encodePacked(
                        _siblings[i],
                        computedRoot
                    )
                );
            } else {
                computedRoot = keccak256(
                    abi.encodePacked(
                        computedRoot,
                        _siblings[i]
                    )
                );
            }

            _index >>= 1;
        }

        return _root == computedRoot;
    }


    /*********************
     * Private Functions *
     *********************/

    /**
     * Calculates the integer ceiling of the log base 2 of an input.
     * @param _in Unsigned input to calculate the log.
     * @return ceil(log_base_2(_in))
     */
    function _ceilLog2(
        uint256 _in
    )
        private
        pure
        returns (
            uint256
        )
    {
        require(
            _in > 0,
            "Lib_MerkleTree: Cannot compute ceil(log_2) of 0."
        );

        if (_in == 1) {
            return 0;
        }

        // Find the highest set bit (will be floor(log_2)).
        // Borrowed with <3 from https://github.com/ethereum/solidity-examples
        uint256 val = _in;
        uint256 highest = 0;
        for (uint256 i = 128; i >= 1; i >>= 1) {
            if (val & (uint(1) << i) - 1 << i != 0) {
                highest += i;
                val >>= i;
            }
        }

        // Increment by one if this is not a perfect logarithm.
        if ((uint(1) << highest) != _in) {
            highest += 1;
        }

        return highest;
    }
}
// File: @openzeppelin/contracts/math/SafeMath.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryAdd(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        uint256 c = a + b;
        if (c < a) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the substraction of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function trySub(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b > a) return (false, 0);
        return (true, a - b);
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, with an overflow flag.
     *
     * _Available since v3.4._
     */
    function tryMul(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) return (true, 0);
        uint256 c = a * b;
        if (c / a != b) return (false, 0);
        return (true, c);
    }

    /**
     * @dev Returns the division of two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryDiv(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a / b);
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers, with a division by zero flag.
     *
     * _Available since v3.4._
     */
    function tryMod(uint256 a, uint256 b) internal pure returns (bool, uint256) {
        if (b == 0) return (false, 0);
        return (true, a % b);
    }

    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     *
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");
        return c;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b <= a, "SafeMath: subtraction overflow");
        return a - b;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     *
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) return 0;
        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");
        return c;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: division by zero");
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        require(b > 0, "SafeMath: modulo by zero");
        return a % b;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {trySub}.
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     *
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        return a - b;
    }

    /**
     * @dev Returns the integer division of two unsigned integers, reverting with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryDiv}.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a / b;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * reverting with custom message when dividing by zero.
     *
     * CAUTION: This function is deprecated because it requires allocating memory for the error
     * message unnecessarily. For custom revert reasons use {tryMod}.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     *
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b > 0, errorMessage);
        return a % b;
    }
}

// File: @openzeppelin/contracts/utils/ReentrancyGuard.sol



// SPDX-License-Identifier: MIT

pragma solidity >=0.6.0 <0.8.0;

/**
 * @dev Contract module that helps prevent reentrant calls to a function.
 *
 * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
 * available, which can be applied to functions to make sure there are no nested
 * (reentrant) calls to them.
 *
 * Note that because there is a single `nonReentrant` guard, functions marked as
 * `nonReentrant` may not call one another. This can be worked around by making
 * those functions `private`, and then adding `external` `nonReentrant` entry
 * points to them.
 *
 * TIP: If you would like to learn more about reentrancy and alternative ways
 * to protect against it, check out our blog post
 * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
 */
abstract contract ReentrancyGuard {
    // Booleans are more expensive than uint256 or any type that takes up a full
    // word because each write operation emits an extra SLOAD to first read the
    // slot's contents, replace the bits taken up by the boolean, and then write
    // back. This is the compiler's defense against contract upgrades and
    // pointer aliasing, and it cannot be disabled.

    // The values being non-zero value makes deployment a bit more expensive,
    // but in exchange the refund on every call to nonReentrant will be lower in
    // amount. Since refunds are capped to a percentage of the total
    // transaction's gas, it is best to keep them low in cases like this one, to
    // increase the likelihood of the full refund coming into effect.
    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;

    uint256 private _status;

    constructor () internal {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and make it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

        // Any calls to nonReentrant after this point will fail
        _status = _ENTERED;

        _;

        // By storing the original value once again, a refund is triggered (see
        // https://eips.ethereum.org/EIPS/eip-2200)
        _status = _NOT_ENTERED;
    }
}