Cryo Explorer Ethereum Mainnet

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

// ====================================================================
// |     ______                   _______                             |
// |    / _____________ __  __   / ____(_____  ____ _____  ________   |
// |   / /_  / ___/ __ `| |/_/  / /_  / / __ \/ __ `/ __ \/ ___/ _ \  |
// |  / __/ / /  / /_/ _>  <   / __/ / / / / / /_/ / / / / /__/  __/  |
// | /_/   /_/   \__,_/_/|_|  /_/   /_/_/ /_/\__,_/_/ /_/\___/\___/   |
// |                                                                  |
// ====================================================================
// ========================== FraxlendPair ============================
// ====================================================================
// Frax Finance: https://github.com/FraxFinance

// Primary Author
// Drake Evans: https://github.com/DrakeEvans

// Reviewers
// Dennis: https://github.com/denett
// Sam Kazemian: https://github.com/samkazemian
// Travis Moore: https://github.com/FortisFortuna
// Jack Corddry: https://github.com/corddry
// Rich Gee: https://github.com/zer0blockchain

// ====================================================================

import {ERC20} from "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {IERC20Metadata} from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import {ReentrancyGuard} from "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import {SafeCast} from "@openzeppelin/contracts/utils/math/SafeCast.sol";
import {FraxlendPairConstants} from "./FraxlendPairConstants.sol";
import {FraxlendPairCore} from "./FraxlendPairCore.sol";
import {Timelock2Step} from "./Timelock2Step.sol";
import {SafeERC20} from "./libraries/SafeERC20.sol";
import {VaultAccount, VaultAccountingLibrary} from "./libraries/VaultAccount.sol";
import {IRateCalculatorV2} from "./interfaces/IRateCalculatorV2.sol";
import {ISwapper} from "./interfaces/ISwapper.sol";

/// @title FraxlendPair
/// @author Drake Evans (Frax Finance) https://github.com/drakeevans
/// @notice  The FraxlendPair is a lending pair that allows users to engage in lending and borrowing activities
contract FraxlendPair is IERC20Metadata, FraxlendPairCore {
    using VaultAccountingLibrary for VaultAccount;
    using SafeERC20 for IERC20;
    using SafeCast for uint256;

    /// @param _configData abi.encode(address _asset, address _collateral, address _oracle, uint32 _maxOracleDeviation, address _rateContract, uint64 _fullUtilizationRate, uint256 _maxLTV, uint256 _cleanLiquidationFee, uint256 _dirtyLiquidationFee, uint256 _protocolLiquidationFee)
    /// @param _immutables abi.encode(address _circuitBreakerAddress, address _comptrollerAddress, address _timelockAddress)
    /// @param _customConfigData abi.encode(string memory _nameOfContract, string memory _symbolOfContract, uint8 _decimalsOfContract)
    constructor(bytes memory _configData, bytes memory _immutables, bytes memory _customConfigData)
        FraxlendPairCore(_configData, _immutables, _customConfigData)
    {}

    // ============================================================================================
    // ERC20 Metadata
    // ============================================================================================

    function name() public view override(ERC20, IERC20Metadata) returns (string memory) {
        return nameOfContract;
    }

    function symbol() public view override(ERC20, IERC20Metadata) returns (string memory) {
        return symbolOfContract;
    }

    function decimals() public view override(ERC20, IERC20Metadata) returns (uint8) {
        return decimalsOfContract;
    }

    // totalSupply for fToken ERC20 compatibility
    function totalSupply() public view override(ERC20, IERC20) returns (uint256) {
        return totalAsset.shares;
    }

    // ============================================================================================
    // Functions: Helpers
    // ============================================================================================

    function asset() external view returns (address) {
        return address(assetContract);
    }

    function getConstants()
        external
        pure
        returns (
            uint256 _LTV_PRECISION,
            uint256 _LIQ_PRECISION,
            uint256 _UTIL_PREC,
            uint256 _FEE_PRECISION,
            uint256 _EXCHANGE_PRECISION,
            uint256 _DEVIATION_PRECISION,
            uint256 _RATE_PRECISION,
            uint256 _MAX_PROTOCOL_FEE
        )
    {
        _LTV_PRECISION = LTV_PRECISION;
        _LIQ_PRECISION = LIQ_PRECISION;
        _UTIL_PREC = UTIL_PREC;
        _FEE_PRECISION = FEE_PRECISION;
        _EXCHANGE_PRECISION = EXCHANGE_PRECISION;
        _DEVIATION_PRECISION = DEVIATION_PRECISION;
        _RATE_PRECISION = RATE_PRECISION;
        _MAX_PROTOCOL_FEE = MAX_PROTOCOL_FEE;
    }

    /// @notice The ```getUserSnapshot``` function gets user level accounting data
    /// @param _address The user address
    /// @return _userAssetShares The user fToken balance
    /// @return _userBorrowShares The user borrow shares
    /// @return _userCollateralBalance The user collateral balance
    function getUserSnapshot(address _address)
        external
        view
        returns (uint256 _userAssetShares, uint256 _userBorrowShares, uint256 _userCollateralBalance)
    {
        _userAssetShares = balanceOf(_address);
        _userBorrowShares = userBorrowShares[_address];
        _userCollateralBalance = userCollateralBalance[_address];
    }

    /// @notice The ```getPairAccounting``` function gets all pair level accounting numbers
    /// @return _totalAssetAmount Total assets deposited and interest accrued, total claims
    /// @return _totalAssetShares Total fTokens
    /// @return _totalBorrowAmount Total borrows
    /// @return _totalBorrowShares Total borrow shares
    /// @return _totalCollateral Total collateral
    function getPairAccounting()
        external
        view
        returns (
            uint128 _totalAssetAmount,
            uint128 _totalAssetShares,
            uint128 _totalBorrowAmount,
            uint128 _totalBorrowShares,
            uint256 _totalCollateral
        )
    {
        (,,,, VaultAccount memory _totalAsset, VaultAccount memory _totalBorrow) = previewAddInterest();
        _totalAssetAmount = _totalAsset.totalAmount(address(address(0))).toUint128();
        _totalAssetShares = _totalAsset.shares;
        _totalBorrowAmount = _totalBorrow.amount;
        _totalBorrowShares = _totalBorrow.shares;
        _totalCollateral = totalCollateral;
    }

    /// @notice The ```toBorrowShares``` function converts a given amount of borrow debt into the number of shares
    /// @param _amount Amount of borrow
    /// @param _roundUp Whether to roundup during division
    /// @param _previewInterest Whether to simulate interest accrual
    /// @return _shares The number of shares
    function toBorrowShares(uint256 _amount, bool _roundUp, bool _previewInterest)
        external
        view
        returns (uint256 _shares)
    {
        if (_previewInterest) {
            (,,,,, VaultAccount memory _totalBorrow) = previewAddInterest();
            _shares = _totalBorrow.toShares(_amount, _roundUp);
        } else {
            _shares = totalBorrow.toShares(_amount, _roundUp);
        }
    }

    /// @notice The ```toBorrowAmount``` function converts a given amount of borrow debt into the number of shares
    /// @param _shares Shares of borrow
    /// @param _roundUp Whether to roundup during division
    /// @param _previewInterest Whether to simulate interest accrual
    /// @return _amount The amount of asset
    function toBorrowAmount(uint256 _shares, bool _roundUp, bool _previewInterest)
        external
        view
        returns (uint256 _amount)
    {
        if (_previewInterest) {
            (,,,,, VaultAccount memory _totalBorrow) = previewAddInterest();
            _amount = _totalBorrow.toAmount(_shares, _roundUp);
        } else {
            _amount = totalBorrow.toAmount(_shares, _roundUp);
        }
    }

    /// @notice The ```toAssetAmount``` function converts a given number of shares to an asset amount
    /// @param _shares Shares of asset (fToken)
    /// @param _roundUp Whether to round up after division
    /// @param _previewInterest Whether to preview interest accrual before calculation
    /// @return _amount The amount of asset
    function toAssetAmount(uint256 _shares, bool _roundUp, bool _previewInterest)
        public
        view
        returns (uint256 _amount)
    {
        if (_previewInterest) {
            (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
            _amount = _totalAsset.toAmount(_shares, _roundUp);
        } else {
            _amount = totalAsset.toAmount(_shares, _roundUp);
        }
    }

    /// @notice The ```toAssetShares``` function converts a given asset amount to a number of asset shares (fTokens)
    /// @param _amount The amount of asset
    /// @param _roundUp Whether to round up after division
    /// @param _previewInterest Whether to preview interest accrual before calculation
    /// @return _shares The number of shares (fTokens)
    function toAssetShares(uint256 _amount, bool _roundUp, bool _previewInterest)
        public
        view
        returns (uint256 _shares)
    {
        if (_previewInterest) {
            (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
            _shares = _totalAsset.toShares(_amount, _roundUp);
        } else {
            _shares = totalAsset.toShares(_amount, _roundUp);
        }
    }

    function convertToAssets(uint256 _shares) external view returns (uint256 _assets) {
        _assets = toAssetAmount(_shares, false, true);
    }

    function convertToShares(uint256 _assets) external view returns (uint256 _shares) {
        _shares = toAssetShares(_assets, false, true);
    }

    function pricePerShare() external view returns (uint256 _amount) {
        _amount = toAssetAmount(1e18, false, true);
    }

    function totalAssets() external view returns (uint256) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        return _totalAsset.totalAmount(address(externalAssetVault));
    }

    function maxDeposit(address) public view returns (uint256 _maxAssets) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        _maxAssets =
            _totalAsset.totalAmount(address(0)) >= depositLimit ? 0 : depositLimit - _totalAsset.totalAmount(address(0));
    }

    function maxMint(address) external view returns (uint256 _maxShares) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        uint256 _maxDeposit =
            _totalAsset.totalAmount(address(0)) >= depositLimit ? 0 : depositLimit - _totalAsset.totalAmount(address(0));
        _maxShares = _totalAsset.toShares(_maxDeposit, false);
    }

    function maxWithdraw(address _owner) external view returns (uint256 _maxAssets) {
        if (isWithdrawPaused) return 0;
        (,, uint256 _feesShare,, VaultAccount memory _totalAsset, VaultAccount memory _totalBorrow) =
            previewAddInterest();
        // Get the owner balance and include the fees share if owner is this contract
        uint256 _ownerBalance = _owner == address(this) ? balanceOf(_owner) + _feesShare : balanceOf(_owner);

        // Return the lower of total assets in contract or total assets available to _owner
        uint256 _totalAssetsAvailable = _totalAssetAvailable(_totalAsset, _totalBorrow, true);
        uint256 _totalUserWithdraw = _totalAsset.toAmount(_ownerBalance, false);
        _maxAssets = _totalAssetsAvailable < _totalUserWithdraw ? _totalAssetsAvailable : _totalUserWithdraw;
    }

    function maxRedeem(address _owner) external view returns (uint256 _maxShares) {
        if (isWithdrawPaused) return 0;
        (,, uint256 _feesShare,, VaultAccount memory _totalAsset, VaultAccount memory _totalBorrow) =
            previewAddInterest();

        // Calculate the total shares available
        uint256 _totalAssetsAvailable = _totalAssetAvailable(_totalAsset, _totalBorrow, true);
        uint256 _totalSharesAvailable = _totalAsset.toShares(_totalAssetsAvailable, false);

        // Get the owner balance and include the fees share if owner is this contract
        uint256 _ownerBalance = _owner == address(this) ? balanceOf(_owner) + _feesShare : balanceOf(_owner);
        _maxShares = _totalSharesAvailable < _ownerBalance ? _totalSharesAvailable : _ownerBalance;
    }

    // ============================================================================================
    // Functions: Configuration
    // ============================================================================================

    /// @notice The ```SetOracleInfo``` event is emitted when the oracle info (address and max deviation) is set
    /// @param oldOracle The old oracle address
    /// @param oldMaxOracleDeviation The old max oracle deviation
    /// @param newOracle The new oracle address
    /// @param newMaxOracleDeviation The new max oracle deviation
    event SetOracleInfo(
        address oldOracle, uint32 oldMaxOracleDeviation, address newOracle, uint32 newMaxOracleDeviation
    );

    /// @notice The ```setOracleInfo``` function sets the oracle data
    /// @param _newOracle The new oracle address
    /// @param _newMaxOracleDeviation The new max oracle deviation
    function setOracle(address _newOracle, uint32 _newMaxOracleDeviation) external {
        _requireTimelock();
        ExchangeRateInfo memory _exchangeRateInfo = exchangeRateInfo;
        emit SetOracleInfo(
            _exchangeRateInfo.oracle, _exchangeRateInfo.maxOracleDeviation, _newOracle, _newMaxOracleDeviation
        );
        _exchangeRateInfo.oracle = _newOracle;
        _exchangeRateInfo.maxOracleDeviation = _newMaxOracleDeviation;
        exchangeRateInfo = _exchangeRateInfo;
    }

    /// @notice The ```SetMaxLTV``` event is emitted when the max LTV is set
    /// @param oldMaxLTV The old max LTV
    /// @param newMaxLTV The new max LTV
    /// @param oldMaxBorrowLTV The old max borrow LTV
    /// @param newMaxBorrowLTV The new max borrow LTV
    event SetMaxLTV(uint256 oldMaxLTV, uint256 newMaxLTV, uint256 oldMaxBorrowLTV, uint256 newMaxBorrowLTV);

    /// @notice The ```setMaxLTV``` function sets the max LTV
    /// @param _newMaxLTV The new max LTV
    /// @param _newMaxBorrowLTV The new max borrow LTV
    function setMaxLTV(uint256 _newMaxLTV, uint256 _newMaxBorrowLTV) external {
        _requireTimelock();
        if (_newMaxLTV < _newMaxBorrowLTV) revert MaxBorrowLTVLargerThanMaxLTV();
        emit SetMaxLTV(maxLTV, _newMaxLTV, maxBorrowLTV, _newMaxBorrowLTV);
        maxLTV = _newMaxLTV;
        maxBorrowLTV = _newMaxBorrowLTV;
    }

    /// @notice The ```SetRateContract``` event is emitted when the rate contract is set
    /// @param oldRateContract The old rate contract
    /// @param newRateContract The new rate contract
    event SetRateContract(address oldRateContract, address newRateContract);

    /// @notice The ```setRateContract``` function sets the rate contract address
    /// @param _newRateContract The new rate contract address
    function setRateContract(address _newRateContract) external {
        _requireTimelock();
        emit SetRateContract(address(rateContract), _newRateContract);
        rateContract = IRateCalculatorV2(_newRateContract);
    }

    /// @notice The ```SetLiquidationFees``` event is emitted when the liquidation fees are set
    /// @param oldCleanLiquidationFee The old clean liquidation fee
    /// @param oldDirtyLiquidationFee The old dirty liquidation fee
    /// @param oldProtocolLiquidationFee The old protocol liquidation fee
    /// @param newCleanLiquidationFee The new clean liquidation fee
    /// @param newDirtyLiquidationFee The new dirty liquidation fee
    /// @param newProtocolLiquidationFee The new protocol liquidation fee
    event SetLiquidationFees(
        uint256 oldCleanLiquidationFee,
        uint256 oldDirtyLiquidationFee,
        uint256 oldProtocolLiquidationFee,
        uint256 newCleanLiquidationFee,
        uint256 newDirtyLiquidationFee,
        uint256 newProtocolLiquidationFee
    );

    /// @notice The ```setLiquidationFees``` function sets the liquidation fees
    /// @param _newCleanLiquidationFee The new clean liquidation fee
    /// @param _newDirtyLiquidationFee The new dirty liquidation fee
    /// @param _newProtocolLiquidationFee The new protocol liquidation fee
    /// @param _newMinCollateralRequiredOnDirtyLiquidation The new min collateral required to leave on dirty liquidation
    function setLiquidationFees(
        uint256 _newCleanLiquidationFee,
        uint256 _newDirtyLiquidationFee,
        uint256 _newProtocolLiquidationFee,
        uint256 _newMinCollateralRequiredOnDirtyLiquidation
    ) external {
        _requireTimelock();
        emit SetLiquidationFees(
            cleanLiquidationFee,
            dirtyLiquidationFee,
            protocolLiquidationFee,
            _newCleanLiquidationFee,
            _newDirtyLiquidationFee,
            _newProtocolLiquidationFee
        );
        cleanLiquidationFee = _newCleanLiquidationFee;
        dirtyLiquidationFee = _newDirtyLiquidationFee;
        protocolLiquidationFee = _newProtocolLiquidationFee;
        minCollateralRequiredOnDirtyLiquidation = _newMinCollateralRequiredOnDirtyLiquidation;
    }

    /// @notice The ```ChangeFee``` event first when the fee is changed
    /// @param newFee The new fee
    event ChangeFee(uint32 newFee);

    /// @notice The ```changeFee``` function changes the protocol fee, max 50%
    /// @param _newFee The new fee
    function changeFee(uint32 _newFee) external {
        _requireTimelock();
        if (isInterestPaused) revert InterestPaused();
        if (_newFee > MAX_PROTOCOL_FEE) {
            revert BadProtocolFee();
        }
        _addInterest();
        currentRateInfo.feeToProtocolRate = _newFee;
        emit ChangeFee(_newFee);
    }

    /// @notice The ```WithdrawFees``` event fires when the fees are withdrawn
    /// @param shares Number of shares (fTokens) redeemed
    /// @param recipient To whom the assets were sent
    /// @param amountToTransfer The amount of fees redeemed
    event WithdrawFees(uint128 shares, address recipient, uint256 amountToTransfer, uint256 collateralAmount);

    /// @notice The ```withdrawFees``` function withdraws fees accumulated
    /// @param _shares Number of fTokens to redeem
    /// @param _recipient Address to send the assets
    /// @return _amountToTransfer Amount of assets sent to recipient
    function withdrawFees(uint128 _shares, address _recipient) external onlyOwner returns (uint256 _amountToTransfer) {
        if (_recipient == address(0)) revert InvalidReceiver();

        // Grab some data from state to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Take all available if 0 value passed
        if (_shares == 0) _shares = balanceOf(address(this)).toUint128();

        // We must calculate this before we subtract from _totalAsset or invoke _burn
        _amountToTransfer = _totalAsset.toAmount(_shares, true);

        _approve(address(this), msg.sender, _shares);
        _redeem(_totalAsset, _amountToTransfer.toUint128(), _shares, _recipient, address(this), false);
        uint256 _collateralAmount = userCollateralBalance[address(this)];
        _removeCollateral(_collateralAmount, _recipient, address(this));
        emit WithdrawFees(_shares, _recipient, _amountToTransfer, _collateralAmount);
    }

    // ============================================================================================
    // Functions: Access Control
    // ============================================================================================

    /// @notice The ```pause``` function is called to pause all contract functionality
    function pause() external {
        _requireProtocolOrOwner();
        _setBorrowLimit(0);
        _setDepositLimit(0);
        _pauseRepay(true);
        _pauseWithdraw(true);
        _pauseLiquidate(true);
        _addInterest();
        _pauseInterest(true);
    }

    /// @notice The ```unpause``` function is called to unpause all contract functionality
    function unpause() external {
        _requireTimelockOrOwner();
        _setBorrowLimit(type(uint256).max);
        _setDepositLimit(type(uint256).max);
        _pauseRepay(false);
        _pauseWithdraw(false);
        _pauseLiquidate(false);
        _addInterest();
        _pauseInterest(false);
        currentRateInfo.lastTimestamp = uint64(block.timestamp);
    }

    event UpdatedMinURChange(uint256 newURChange);

    /// @notice The ```setMinURChangeForExternalAddInterest``` function sets the new minimum UR change for external add interest
    /// @param _newURChange The new rate change needed
    function setMinURChangeForExternalAddInterest(uint256 _newURChange) external {
        _requireTimelockOrOwner();
        if (_newURChange > UTIL_PREC) revert MinURChangeMax();
        minURChangeForExternalAddInterest = _newURChange;
        emit UpdatedMinURChange(_newURChange);
    }

    /// @notice The ```pauseBorrow``` function sets borrow limit to 0
    function pauseBorrow() external {
        _requireProtocolOrOwner();
        _setBorrowLimit(0);
    }

    /// @notice The ```setBorrowLimit``` function sets the borrow limit
    /// @param _limit The new borrow limit
    function setBorrowLimit(uint256 _limit) external {
        _requireTimelockOrOwner();
        _setBorrowLimit(_limit);
    }

    /// @notice The ```pauseDeposit``` function pauses deposit functionality
    function pauseDeposit() external {
        _requireProtocolOrOwner();
        _setDepositLimit(0);
    }

    /// @notice The ```setDepositLimit``` function sets the deposit limit
    /// @param _limit The new deposit limit
    function setDepositLimit(uint256 _limit) external {
        _requireTimelockOrOwner();
        _setDepositLimit(_limit);
    }

    event SetOverBorrowAndLiquidateDelays(
        uint256 oldOverBorrowDelayAfterAddCollateral,
        uint256 newOverBorrowDelayAfterAddCollateral,
        uint256 oldLiquidateDelayAfterBorrow,
        uint256 newLiquidateDelayAfterBorrow
    );

    /// @notice The ```setOverBorrowAndLiquidateDelays``` function sets a few protocol delay configurations for over borrow and liquidation
    /// @param _overBorrowDelayAfterAddCollateral The new over borrow delay after adding collateral
    /// @param _liquidateDelayAfterBorrow The new liquidate delay after over borrowing
    function setOverBorrowAndLiquidateDelays(
        uint256 _overBorrowDelayAfterAddCollateral,
        uint256 _liquidateDelayAfterBorrow
    ) external {
        _requireTimelockOrOwner();
        emit SetOverBorrowAndLiquidateDelays(
            overBorrowDelayAfterAddCollateral,
            _overBorrowDelayAfterAddCollateral,
            liquidateDelayAfterBorrow,
            _liquidateDelayAfterBorrow
        );
        overBorrowDelayAfterAddCollateral = _overBorrowDelayAfterAddCollateral;
        liquidateDelayAfterBorrow = _liquidateDelayAfterBorrow;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.0;

import "./IERC20.sol";
import "./extensions/IERC20Metadata.sol";
import "../../utils/Context.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * The default value of {decimals} is 18. To change this, you should override
 * this function so it returns a different value.
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20 is Context, IERC20, IERC20Metadata {
    mapping(address => uint256) private _balances;

    mapping(address => mapping(address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the default value returned by this function, unless
     * it's overridden.
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual override returns (uint8) {
        return 18;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address to, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _transfer(owner, to, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address from, address to, uint256 amount) public virtual override returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, amount);
        _transfer(from, to, amount);
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, allowance(owner, spender) + addedValue);
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        address owner = _msgSender();
        uint256 currentAllowance = allowance(owner, spender);
        require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
        unchecked {
            _approve(owner, spender, currentAllowance - subtractedValue);
        }

        return true;
    }

    /**
     * @dev Moves `amount` of tokens from `from` to `to`.
     *
     * This internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     */
    function _transfer(address from, address to, uint256 amount) internal virtual {
        require(from != address(0), "ERC20: transfer from the zero address");
        require(to != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(from, to, amount);

        uint256 fromBalance = _balances[from];
        require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
        unchecked {
            _balances[from] = fromBalance - amount;
            // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
            // decrementing then incrementing.
            _balances[to] += amount;
        }

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply += amount;
        unchecked {
            // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
            _balances[account] += amount;
        }
        emit Transfer(address(0), account, amount);

        _afterTokenTransfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        uint256 accountBalance = _balances[account];
        require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
        unchecked {
            _balances[account] = accountBalance - amount;
            // Overflow not possible: amount <= accountBalance <= totalSupply.
            _totalSupply -= amount;
        }

        emit Transfer(account, address(0), amount);

        _afterTokenTransfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(address owner, address spender, uint256 amount) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
     *
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Might emit an {Approval} event.
     */
    function _spendAllowance(address owner, address spender, uint256 amount) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            require(currentAllowance >= amount, "ERC20: insufficient allowance");
            unchecked {
                _approve(owner, spender, currentAllowance - amount);
            }
        }
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual {}

    /**
     * @dev Hook that is called after any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * has been transferred to `to`.
     * - when `from` is zero, `amount` tokens have been minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens have been burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(address from, address to, uint256 amount) internal virtual {}
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `from` to `to` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 amount) external returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol)

pragma solidity ^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() {
        _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 making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }

    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

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

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

    /**
     * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
     * `nonReentrant` function in the call stack.
     */
    function _reentrancyGuardEntered() internal view returns (bool) {
        return _status == _ENTERED;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.

pragma solidity ^0.8.0;

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such 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.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        require(value <= type(uint248).max, "SafeCast: value doesn't fit in 248 bits");
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        require(value <= type(uint240).max, "SafeCast: value doesn't fit in 240 bits");
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        require(value <= type(uint232).max, "SafeCast: value doesn't fit in 232 bits");
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.2._
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        require(value <= type(uint224).max, "SafeCast: value doesn't fit in 224 bits");
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        require(value <= type(uint216).max, "SafeCast: value doesn't fit in 216 bits");
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        require(value <= type(uint208).max, "SafeCast: value doesn't fit in 208 bits");
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        require(value <= type(uint200).max, "SafeCast: value doesn't fit in 200 bits");
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        require(value <= type(uint192).max, "SafeCast: value doesn't fit in 192 bits");
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        require(value <= type(uint184).max, "SafeCast: value doesn't fit in 184 bits");
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        require(value <= type(uint176).max, "SafeCast: value doesn't fit in 176 bits");
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        require(value <= type(uint168).max, "SafeCast: value doesn't fit in 168 bits");
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        require(value <= type(uint160).max, "SafeCast: value doesn't fit in 160 bits");
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        require(value <= type(uint152).max, "SafeCast: value doesn't fit in 152 bits");
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        require(value <= type(uint144).max, "SafeCast: value doesn't fit in 144 bits");
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        require(value <= type(uint136).max, "SafeCast: value doesn't fit in 136 bits");
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v2.5._
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        require(value <= type(uint128).max, "SafeCast: value doesn't fit in 128 bits");
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        require(value <= type(uint120).max, "SafeCast: value doesn't fit in 120 bits");
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        require(value <= type(uint112).max, "SafeCast: value doesn't fit in 112 bits");
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        require(value <= type(uint104).max, "SafeCast: value doesn't fit in 104 bits");
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.2._
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        require(value <= type(uint96).max, "SafeCast: value doesn't fit in 96 bits");
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        require(value <= type(uint88).max, "SafeCast: value doesn't fit in 88 bits");
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        require(value <= type(uint80).max, "SafeCast: value doesn't fit in 80 bits");
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        require(value <= type(uint72).max, "SafeCast: value doesn't fit in 72 bits");
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v2.5._
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        require(value <= type(uint64).max, "SafeCast: value doesn't fit in 64 bits");
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        require(value <= type(uint56).max, "SafeCast: value doesn't fit in 56 bits");
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        require(value <= type(uint48).max, "SafeCast: value doesn't fit in 48 bits");
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        require(value <= type(uint40).max, "SafeCast: value doesn't fit in 40 bits");
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v2.5._
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        require(value <= type(uint32).max, "SafeCast: value doesn't fit in 32 bits");
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        require(value <= type(uint24).max, "SafeCast: value doesn't fit in 24 bits");
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v2.5._
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        require(value <= type(uint16).max, "SafeCast: value doesn't fit in 16 bits");
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v2.5._
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        require(value <= type(uint8).max, "SafeCast: value doesn't fit in 8 bits");
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     *
     * _Available since v3.0._
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        require(value >= 0, "SafeCast: value must be positive");
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toInt248(int256 value) internal pure returns (int248 downcasted) {
        downcasted = int248(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 248 bits");
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toInt240(int256 value) internal pure returns (int240 downcasted) {
        downcasted = int240(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 240 bits");
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toInt232(int256 value) internal pure returns (int232 downcasted) {
        downcasted = int232(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 232 bits");
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.7._
     */
    function toInt224(int256 value) internal pure returns (int224 downcasted) {
        downcasted = int224(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 224 bits");
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toInt216(int256 value) internal pure returns (int216 downcasted) {
        downcasted = int216(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 216 bits");
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toInt208(int256 value) internal pure returns (int208 downcasted) {
        downcasted = int208(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 208 bits");
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toInt200(int256 value) internal pure returns (int200 downcasted) {
        downcasted = int200(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 200 bits");
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toInt192(int256 value) internal pure returns (int192 downcasted) {
        downcasted = int192(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 192 bits");
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toInt184(int256 value) internal pure returns (int184 downcasted) {
        downcasted = int184(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 184 bits");
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toInt176(int256 value) internal pure returns (int176 downcasted) {
        downcasted = int176(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 176 bits");
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toInt168(int256 value) internal pure returns (int168 downcasted) {
        downcasted = int168(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 168 bits");
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toInt160(int256 value) internal pure returns (int160 downcasted) {
        downcasted = int160(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 160 bits");
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toInt152(int256 value) internal pure returns (int152 downcasted) {
        downcasted = int152(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 152 bits");
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toInt144(int256 value) internal pure returns (int144 downcasted) {
        downcasted = int144(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 144 bits");
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toInt136(int256 value) internal pure returns (int136 downcasted) {
        downcasted = int136(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 136 bits");
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v3.1._
     */
    function toInt128(int256 value) internal pure returns (int128 downcasted) {
        downcasted = int128(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 128 bits");
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toInt120(int256 value) internal pure returns (int120 downcasted) {
        downcasted = int120(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 120 bits");
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toInt112(int256 value) internal pure returns (int112 downcasted) {
        downcasted = int112(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 112 bits");
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toInt104(int256 value) internal pure returns (int104 downcasted) {
        downcasted = int104(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 104 bits");
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.7._
     */
    function toInt96(int256 value) internal pure returns (int96 downcasted) {
        downcasted = int96(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 96 bits");
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toInt88(int256 value) internal pure returns (int88 downcasted) {
        downcasted = int88(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 88 bits");
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toInt80(int256 value) internal pure returns (int80 downcasted) {
        downcasted = int80(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 80 bits");
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toInt72(int256 value) internal pure returns (int72 downcasted) {
        downcasted = int72(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 72 bits");
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v3.1._
     */
    function toInt64(int256 value) internal pure returns (int64 downcasted) {
        downcasted = int64(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 64 bits");
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toInt56(int256 value) internal pure returns (int56 downcasted) {
        downcasted = int56(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 56 bits");
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toInt48(int256 value) internal pure returns (int48 downcasted) {
        downcasted = int48(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 48 bits");
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toInt40(int256 value) internal pure returns (int40 downcasted) {
        downcasted = int40(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 40 bits");
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v3.1._
     */
    function toInt32(int256 value) internal pure returns (int32 downcasted) {
        downcasted = int32(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 32 bits");
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toInt24(int256 value) internal pure returns (int24 downcasted) {
        downcasted = int24(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 24 bits");
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v3.1._
     */
    function toInt16(int256 value) internal pure returns (int16 downcasted) {
        downcasted = int16(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 16 bits");
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v3.1._
     */
    function toInt8(int256 value) internal pure returns (int8 downcasted) {
        downcasted = int8(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 8 bits");
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     *
     * _Available since v3.0._
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        require(value <= uint256(type(int256).max), "SafeCast: value doesn't fit in an int256");
        return int256(value);
    }
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

// ====================================================================
// |     ______                   _______                             |
// |    / _____________ __  __   / ____(_____  ____ _____  ________   |
// |   / /_  / ___/ __ `| |/_/  / /_  / / __ \/ __ `/ __ \/ ___/ _ \  |
// |  / __/ / /  / /_/ _>  <   / __/ / / / / / /_/ / / / / /__/  __/  |
// | /_/   /_/   \__,_/_/|_|  /_/   /_/_/ /_/\__,_/_/ /_/\___/\___/   |
// |                                                                  |
// ====================================================================
// ===================== FraxlendPairConstants ========================
// ====================================================================
// Frax Finance: https://github.com/FraxFinance

// Primary Author
// Drake Evans: https://github.com/DrakeEvans

// Reviewers
// Dennis: https://github.com/denett
// Sam Kazemian: https://github.com/samkazemian
// Travis Moore: https://github.com/FortisFortuna
// Jack Corddry: https://github.com/corddry
// Rich Gee: https://github.com/zer0blockchain

// ====================================================================

/// @title FraxlendPairConstants
/// @author Drake Evans (Frax Finance) https://github.com/drakeevans
/// @notice  An abstract contract which contains the errors and constants for the FraxlendPair contract
abstract contract FraxlendPairConstants {
    // ============================================================================================
    // Constants
    // ============================================================================================

    // Precision settings
    uint256 public constant LTV_PRECISION = 1e5; // 5 decimals
    uint256 public constant LIQ_PRECISION = 1e5;
    uint256 public constant UTIL_PREC = 1e5;
    uint256 public constant FEE_PRECISION = 1e5;
    uint256 public constant EXCHANGE_PRECISION = 1e18;
    uint256 public constant DEVIATION_PRECISION = 1e5;
    uint256 public constant RATE_PRECISION = 1e18;

    // Protocol Fee
    uint256 public constant MAX_PROTOCOL_FEE = 5e4; // 50% 1e5 precision

    error Insolvent(uint256 _borrow, uint256 _collateral, uint256 _exchangeRate);
    error NotEnoughBorrowCapacity(uint256 _borrow, uint256 _collateral, uint256 _exchangeRate);
    error BorrowerSolvent();
    error InsufficientAssetsInContract(uint256 _assets, uint256 _request);
    error SlippageTooHigh(uint256 _minOut, uint256 _actual);
    error BadSwapper();
    error InvalidPath(address _expected, address _actual);
    error BadProtocolFee();
    error PastDeadline(uint256 _blockTimestamp, uint256 _deadline);
    error MaxBorrowLTVLargerThanMaxLTV();
    error SetterRevoked();
    error ExceedsMaxOracleDeviation();
    error InvalidReceiver();
    error ExternalAssetVaultOnly();
    error BadDirtyLiquidation();
    error MinURChangeMax();
    error MustWaitToOverBorrow(uint256 _lastAddCollateral, uint256 _blockDelay);
    error MustWaitToLiquidate(uint256 _lastBorrow, uint256 _blockDelay);
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

// ====================================================================
// |     ______                   _______                             |
// |    / _____________ __  __   / ____(_____  ____ _____  ________   |
// |   / /_  / ___/ __ `| |/_/  / /_  / / __ \/ __ `/ __ \/ ___/ _ \  |
// |  / __/ / /  / /_/ _>  <   / __/ / / / / / /_/ / / / / /__/  __/  |
// | /_/   /_/   \__,_/_/|_|  /_/   /_/_/ /_/\__,_/_/ /_/\___/\___/   |
// |                                                                  |
// ====================================================================
// ========================= FraxlendPairCore =========================
// ====================================================================
// Frax Finance: https://github.com/FraxFinance

// Primary Author
// Drake Evans: https://github.com/DrakeEvans

// Reviewers
// Dennis: https://github.com/denett
// Sam Kazemian: https://github.com/samkazemian
// Travis Moore: https://github.com/FortisFortuna
// Jack Corddry: https://github.com/corddry
// Rich Gee: https://github.com/zer0blockchain

// ====================================================================

import {ERC20} from "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {ReentrancyGuard} from "@openzeppelin/contracts/security/ReentrancyGuard.sol";
import {SafeCast} from "@openzeppelin/contracts/utils/math/SafeCast.sol";
import {FraxlendPairAccessControl} from "./FraxlendPairAccessControl.sol";
import {FraxlendPairConstants} from "./FraxlendPairConstants.sol";
import {VaultAccount, VaultAccountingLibrary} from "./libraries/VaultAccount.sol";
import {SafeERC20} from "./libraries/SafeERC20.sol";
import {IDualOracle} from "./interfaces/IDualOracle.sol";
import {IRateCalculatorV2} from "./interfaces/IRateCalculatorV2.sol";
import {ISwapper} from "./interfaces/ISwapper.sol";

/// @title FraxlendPairCore
/// @author Drake Evans (Frax Finance) https://github.com/drakeevans
/// @notice  An abstract contract which contains the core logic and storage for the FraxlendPair
abstract contract FraxlendPairCore is FraxlendPairAccessControl, FraxlendPairConstants, ERC20, ReentrancyGuard {
    using VaultAccountingLibrary for VaultAccount;
    using SafeERC20 for IERC20;
    using SafeCast for uint256;

    function version() external pure returns (uint256 _major, uint256 _minor, uint256 _patch) {
        _major = 3;
        _minor = 0;
        _patch = 0;
    }

    // ============================================================================================
    // Settings set by constructor()
    // ============================================================================================

    // Asset and collateral contracts
    IERC20 internal immutable assetContract;
    IERC20 public immutable collateralContract;

    // LTV Settings
    /// @notice The maximum LTV allowed for this pair before insolvency, and optional max borrow
    /// @dev 1e5 precision
    uint256 public maxLTV;
    uint256 public maxBorrowLTV;

    // Liquidation Fees
    /// @notice The liquidation fee, given as a % of repayment amount, when all collateral is consumed in liquidation
    /// @dev 1e5 precision
    uint256 public cleanLiquidationFee;
    /// @notice The liquidation fee, given as % of repayment amount, when some collateral remains for borrower
    /// @dev 1e5 precision
    uint256 public dirtyLiquidationFee;
    /// @notice The minimum amount of collateral required to leave upon dirty liquidation
    uint256 public minCollateralRequiredOnDirtyLiquidation;
    /// @notice The portion of the liquidation fee given to protocol
    /// @dev 1e5 precision
    uint256 public protocolLiquidationFee;

    // Interest Rate Calculator Contract
    IRateCalculatorV2 public rateContract; // For complex rate calculations

    // If provided, will only update interest rate when external add interest is called if this threshold is met from previous UR update
    uint256 public minURChangeForExternalAddInterest = UTIL_PREC / 1000;

    // Stores block of last added collateral to position, and then determines how long required to wait
    // until a user can borrow > 50% LTV after adding collateral to prevent attack/exploitation
    mapping(address => uint256) _lastAddCollateral;
    uint256 public overBorrowDelayAfterAddCollateral = 1;

    // Stores block of last borrow for position, and then determines how long required to wait
    // until liquidation can happen after borrowing to prevent attack/exploitation
    mapping(address => uint256) _lastBorrow;
    uint256 public liquidateDelayAfterBorrow = 2;

    // ERC20 Metadata
    string internal nameOfContract;
    string internal symbolOfContract;
    uint8 internal immutable decimalsOfContract;

    // ============================================================================================
    // Storage
    // ============================================================================================

    /// @notice Stores information about the current interest rate
    /// @dev struct is packed to reduce SLOADs. feeToProtocolRate is 1e5 precision, ratePerSec & fullUtilizationRate is 1e18 precision
    CurrentRateInfo public currentRateInfo;

    struct CurrentRateInfo {
        uint32 lastBlock;
        uint32 feeToProtocolRate; // Fee amount 1e5 precision
        uint64 lastTimestamp;
        uint64 ratePerSec;
        uint64 fullUtilizationRate;
    }

    /// @notice Stores information about the current exchange rate. Collateral:Asset ratio
    /// @dev Struct packed to save SLOADs. Amount of Collateral Token to buy 1e18 Asset Token
    ExchangeRateInfo public exchangeRateInfo;

    struct ExchangeRateInfo {
        address oracle;
        uint32 maxOracleDeviation; // % of larger number, 1e5 precision
        uint184 lastTimestamp;
        uint256 lowExchangeRate;
        uint256 highExchangeRate;
    }

    // Contract Level Accounting
    VaultAccount public totalAsset; // amount = total amount of assets, shares = total shares outstanding
    VaultAccount public totalBorrow; // amount = total borrow amount with interest accrued, shares = total shares outstanding
    uint256 public totalCollateral; // total amount of collateral in contract

    // User Level Accounting
    /// @notice Stores the balance of collateral for each user
    mapping(address => uint256) public userCollateralBalance; // amount of collateral each user is backed
    /// @notice Stores the balance of borrow shares for each user
    mapping(address => uint256) public userBorrowShares; // represents the shares held by individuals

    uint256 _prevUtilizationRate;

    // NOTE: user shares of assets are represented as ERC-20 tokens and accessible via balanceOf()

    // ============================================================================================
    // Constructor
    // ============================================================================================

    /// @notice The ```constructor``` function is called on deployment
    /// @param _configData abi.encode(address _asset, address _collateral, address _oracle, uint32 _maxOracleDeviation, address _rateContract, uint64 _fullUtilizationRate, uint256 _maxLTV, uint256 _cleanLiquidationFee, uint256 _dirtyLiquidationFee, uint256 _protocolLiquidationFee)
    /// @param _immutables abi.encode(address _circuitBreakerAddress, address _comptrollerAddress, address _timelockAddress)
    /// @param _customConfigData abi.encode(string memory _nameOfContract, string memory _symbolOfContract, uint8 _decimalsOfContract)
    constructor(bytes memory _configData, bytes memory _immutables, bytes memory _customConfigData)
        FraxlendPairAccessControl(_immutables)
        ERC20("", "")
    {
        {
            (
                address _asset,
                address _collateral,
                address _oracle,
                uint32 _maxOracleDeviation,
                address _rateContract,
                uint64 _fullUtilizationRate,
                uint256 _maxLTV,
                uint256 _maxBorrowLTV,
                uint256 _liquidationFee,
                uint256 _protocolLiquidationFee
            ) = abi.decode(
                _configData, (address, address, address, uint32, address, uint64, uint256, uint256, uint256, uint256)
            );

            // Pair Settings
            assetContract = IERC20(_asset);
            collateralContract = IERC20(_collateral);

            currentRateInfo.feeToProtocolRate = 1e4; // 10%
            currentRateInfo.fullUtilizationRate = _fullUtilizationRate;
            currentRateInfo.lastTimestamp = uint64(block.timestamp - 1);
            currentRateInfo.lastBlock = uint32(block.number - 1);

            exchangeRateInfo.oracle = _oracle;
            exchangeRateInfo.maxOracleDeviation = _maxOracleDeviation;

            rateContract = IRateCalculatorV2(_rateContract);

            //Liquidation Fee Settings
            cleanLiquidationFee = _liquidationFee;
            dirtyLiquidationFee = (_liquidationFee * 90_000) / LIQ_PRECISION; // 90% of clean fee
            protocolLiquidationFee = _protocolLiquidationFee;

            // set maxLTV & maxBorrowLTV
            maxLTV = _maxLTV;
            maxBorrowLTV = _maxBorrowLTV;
        }

        {
            (string memory _nameOfContract, string memory _symbolOfContract, uint8 _decimalsOfContract) =
                abi.decode(_customConfigData, (string, string, uint8));

            // ERC20 Metadata
            nameOfContract = _nameOfContract;
            symbolOfContract = _symbolOfContract;
            decimalsOfContract = _decimalsOfContract;

            // NOTE: creator should addInterest() and updateExchangeRate() at end of processing
        }
    }

    // ============================================================================================
    // Internal Helpers
    // ============================================================================================

    /// @notice The ```_totalAssetAvailable``` function returns the total balance of Asset Tokens in the contract
    /// @param _totalAsset VaultAccount struct which stores total amount and shares for assets
    /// @param _totalBorrow VaultAccount struct which stores total amount and shares for borrows
    /// @param _includeVault Whether to include assets from the external asset vault, if configured in total available
    /// @return The balance of Asset Tokens held by contract
    function _totalAssetAvailable(VaultAccount memory _totalAsset, VaultAccount memory _totalBorrow, bool _includeVault)
        internal
        view
        returns (uint256)
    {
        if (_includeVault) {
            return _totalAsset.totalAmount(address(externalAssetVault)) - _totalBorrow.amount;
        }
        return _totalAsset.amount - _totalBorrow.amount;
    }

    /// @notice The ```_isSolvent``` function determines if a given borrower is solvent given an exchange rate
    /// @param _borrower The borrower address to check
    /// @param _exchangeRate The exchange rate, i.e. the amount of collateral to buy 1e18 asset
    /// @return Whether borrower is solvent & whether borrower can borrow more assets
    function _isSolvent(address _borrower, uint256 _exchangeRate) internal view returns (bool, bool) {
        if (maxLTV == 0) return (true, true);
        uint256 _borrowerAmount = totalBorrow.toAmount(userBorrowShares[_borrower], true);
        if (_borrowerAmount == 0) return (true, true);
        uint256 _collateralAmount = userCollateralBalance[_borrower];
        if (_collateralAmount == 0) return (false, false);

        uint256 _ltv = (((_borrowerAmount * _exchangeRate) / EXCHANGE_PRECISION) * LTV_PRECISION) / _collateralAmount;
        return (_ltv <= maxLTV, _ltv <= maxBorrowLTV);
    }

    // ============================================================================================
    // Modifiers
    // ============================================================================================

    /// @notice Checks for solvency AFTER executing contract code
    /// @param _borrower The borrower whose solvency we will check
    modifier isSolvent(address _borrower) {
        _;
        ExchangeRateInfo memory _exchangeRateInfo = exchangeRateInfo;
        (bool __isSolvent,) = _isSolvent(_borrower, _exchangeRateInfo.highExchangeRate);

        if (!__isSolvent) {
            revert Insolvent(
                totalBorrow.toAmount(userBorrowShares[_borrower], true),
                userCollateralBalance[_borrower],
                _exchangeRateInfo.highExchangeRate
            );
        }
    }

    /// @notice Checks for borrowing capacity AFTER executing contract code
    /// @param _borrower The borrower whose borrow capacity we will check
    modifier hasBorrowCapacity(address _borrower) {
        _;
        ExchangeRateInfo memory _exchangeRateInfo = exchangeRateInfo;
        (, bool _canBorrow) = _isSolvent(_borrower, _exchangeRateInfo.highExchangeRate);

        if (!_canBorrow) {
            revert NotEnoughBorrowCapacity(
                totalBorrow.toAmount(userBorrowShares[_borrower], true),
                userCollateralBalance[_borrower],
                _exchangeRateInfo.highExchangeRate
            );
        }

        uint256 _borrowerAmount = totalBorrow.toAmount(userBorrowShares[_borrower], true);
        uint256 _collateralAmount = userCollateralBalance[_borrower];
        uint256 _ltv = (((_borrowerAmount * _exchangeRateInfo.highExchangeRate) / EXCHANGE_PRECISION) * LTV_PRECISION)
            / _collateralAmount;
        // if borrow amount > 50% LTV make sure user has waited required delay first
        if (_ltv > LTV_PRECISION / 2) {
            if (block.number < _lastAddCollateral[_borrower] + overBorrowDelayAfterAddCollateral) {
                revert MustWaitToOverBorrow(_lastAddCollateral[_borrower], overBorrowDelayAfterAddCollateral);
            }
        }
    }

    // ============================================================================================
    // Functions: Interest Accumulation and Adjustment
    // ============================================================================================

    /// @notice The ```AddInterest``` event is emitted when interest is accrued by borrowers
    /// @param interestEarned The total interest accrued by all borrowers
    /// @param rate The interest rate used to calculate accrued interest
    /// @param feesAmount The amount of fees paid to protocol
    /// @param feesShare The amount of shares distributed to protocol
    event AddInterest(uint256 interestEarned, uint256 rate, uint256 feesAmount, uint256 feesShare);

    /// @notice The ```SkipAddingInterest``` event is emitted when external add interest is called byt noops due to small rate change
    /// @param rateChange The rate change
    event SkipAddingInterest(uint256 rateChange);

    /// @notice The ```UpdateRate``` event is emitted when the interest rate is updated
    /// @param oldRatePerSec The old interest rate (per second)
    /// @param oldFullUtilizationRate The old full utilization rate
    /// @param newRatePerSec The new interest rate (per second)
    /// @param newFullUtilizationRate The new full utilization rate
    event UpdateRate(
        uint256 oldRatePerSec, uint256 oldFullUtilizationRate, uint256 newRatePerSec, uint256 newFullUtilizationRate
    );

    /// @notice The ```addInterest``` function is a public implementation of _addInterest and allows 3rd parties to trigger interest accrual
    /// @return _interestEarned The amount of interest accrued by all borrowers
    /// @return _feesAmount The amount of fees paid to protocol
    /// @return _feesShare The amount of shares distributed to protocol
    /// @return _currentRateInfo The new rate info struct
    /// @return _totalAsset The new total asset struct
    /// @return _totalBorrow The new total borrow struct
    function addInterest(bool _returnAccounting)
        external
        nonReentrant
        returns (
            uint256 _interestEarned,
            uint256 _feesAmount,
            uint256 _feesShare,
            CurrentRateInfo memory _currentRateInfo,
            VaultAccount memory _totalAsset,
            VaultAccount memory _totalBorrow
        )
    {
        _currentRateInfo = currentRateInfo;
        // the following checks whether the current utilization rate against the new utilization rate
        // (including external assets available) exceeds a threshold and only updates interest if so.
        // With this enabled, it's obviously possible for there to be some level of "unfair" interest
        // paid by borrowers and/or earned by suppliers, but the idea is this unfairness
        // should theoretically be negligible within some level of error and therefore it won't matter.
        // This is in place to support lower gas & more arbitrage volume through the pair since arbitrage
        // would many times only occur with small changes in asset supply or borrowed positions.
        uint256 _currentUtilizationRate = _prevUtilizationRate;
        uint256 _totalAssetsAvailable = totalAsset.totalAmount(address(externalAssetVault));
        uint256 _newUtilizationRate =
            _totalAssetsAvailable == 0 ? 0 : (UTIL_PREC * totalBorrow.amount) / _totalAssetsAvailable;
        uint256 _rateChange = _newUtilizationRate > _currentUtilizationRate
            ? _newUtilizationRate - _currentUtilizationRate
            : _currentUtilizationRate - _newUtilizationRate;
        if (
            _currentUtilizationRate != 0
                && _rateChange < _currentUtilizationRate * minURChangeForExternalAddInterest / UTIL_PREC
        ) {
            emit SkipAddingInterest(_rateChange);
        } else {
            (, _interestEarned, _feesAmount, _feesShare, _currentRateInfo) = _addInterest();
        }
        if (_returnAccounting) {
            _totalAsset = totalAsset;
            _totalBorrow = totalBorrow;
        }
    }

    /// @notice The ```previewAddInterest``` function
    /// @return _interestEarned The amount of interest accrued by all borrowers
    /// @return _feesAmount The amount of fees paid to protocol
    /// @return _feesShare The amount of shares distributed to protocol
    /// @return _newCurrentRateInfo The new rate info struct
    /// @return _totalAsset The new total asset struct
    /// @return _totalBorrow The new total borrow struct
    function previewAddInterest()
        public
        view
        returns (
            uint256 _interestEarned,
            uint256 _feesAmount,
            uint256 _feesShare,
            CurrentRateInfo memory _newCurrentRateInfo,
            VaultAccount memory _totalAsset,
            VaultAccount memory _totalBorrow
        )
    {
        _newCurrentRateInfo = currentRateInfo;
        // Write return values
        InterestCalculationResults memory _results = _calculateInterest(_newCurrentRateInfo);

        if (_results.isInterestUpdated) {
            _interestEarned = _results.interestEarned;
            _feesAmount = _results.feesAmount;
            _feesShare = _results.feesShare;

            _newCurrentRateInfo.ratePerSec = _results.newRate;
            _newCurrentRateInfo.fullUtilizationRate = _results.newFullUtilizationRate;

            _totalAsset = _results.totalAsset;
            _totalBorrow = _results.totalBorrow;
        } else {
            _totalAsset = totalAsset;
            _totalBorrow = totalBorrow;
        }
    }

    struct InterestCalculationResults {
        bool isInterestUpdated;
        uint64 newRate;
        uint64 newFullUtilizationRate;
        uint256 interestEarned;
        uint256 feesAmount;
        uint256 feesShare;
        VaultAccount totalAsset;
        VaultAccount totalBorrow;
    }

    /// @notice The ```_calculateInterest``` function calculates the interest to be accrued and the new interest rate info
    /// @param _currentRateInfo The current rate info
    /// @return _results The results of the interest calculation
    function _calculateInterest(CurrentRateInfo memory _currentRateInfo)
        internal
        view
        returns (InterestCalculationResults memory _results)
    {
        // Short circuit if interest already calculated this block OR if interest is paused
        if (_currentRateInfo.lastTimestamp != block.timestamp && !isInterestPaused) {
            // Indicate that interest is updated and calculated
            _results.isInterestUpdated = true;

            // Write return values and use these to save gas
            _results.totalAsset = totalAsset;
            _results.totalBorrow = totalBorrow;

            // Time elapsed since last interest update
            uint256 _deltaTime = block.timestamp - _currentRateInfo.lastTimestamp;

            // Total assets available including what resides in the external vault
            uint256 _totalAssetsAvailable = _results.totalAsset.totalAmount(address(externalAssetVault));

            // Get the utilization rate
            uint256 _utilizationRate =
                _totalAssetsAvailable == 0 ? 0 : (UTIL_PREC * _results.totalBorrow.amount) / _totalAssetsAvailable;

            // Request new interest rate and full utilization rate from the rate calculator
            (_results.newRate, _results.newFullUtilizationRate) = IRateCalculatorV2(rateContract).getNewRate(
                _deltaTime, _utilizationRate, _currentRateInfo.fullUtilizationRate
            );

            // Calculate interest accrued
            _results.interestEarned = (_deltaTime * _results.totalBorrow.amount * _results.newRate) / RATE_PRECISION;

            // Accrue interest (if any) and fees iff no overflow
            if (
                _results.interestEarned > 0
                    && _results.interestEarned + _results.totalBorrow.amount <= type(uint128).max
                    && _results.interestEarned + _totalAssetsAvailable <= type(uint128).max
            ) {
                // Increment totalBorrow and totalAsset by interestEarned
                _results.totalBorrow.amount += _results.interestEarned.toUint128();
                _results.totalAsset.amount += _results.interestEarned.toUint128();
                if (_currentRateInfo.feeToProtocolRate > 0) {
                    _results.feesAmount = (_results.interestEarned * _currentRateInfo.feeToProtocolRate) / FEE_PRECISION;

                    _results.feesShare = (_results.feesAmount * _results.totalAsset.shares)
                        / (_results.totalAsset.totalAmount(address(0)) - _results.feesAmount);

                    // Effects: Give new shares to this contract, effectively diluting lenders an amount equal to the fees
                    // We can safely cast because _feesShare < _feesAmount < interestEarned which is always less than uint128
                    _results.totalAsset.shares += _results.feesShare.toUint128();
                }
            }
        }
    }

    /// @notice The ```_addInterest``` function is invoked prior to every external function and is used to accrue interest and update interest rate
    /// @dev Can only called once per block
    /// @return _isInterestUpdated True if interest was calculated
    /// @return _interestEarned The amount of interest accrued by all borrowers
    /// @return _feesAmount The amount of fees paid to protocol
    /// @return _feesShare The amount of shares distributed to protocol
    /// @return _currentRateInfo The new rate info struct
    function _addInterest()
        internal
        returns (
            bool _isInterestUpdated,
            uint256 _interestEarned,
            uint256 _feesAmount,
            uint256 _feesShare,
            CurrentRateInfo memory _currentRateInfo
        )
    {
        // Pull from storage and set default return values
        _currentRateInfo = currentRateInfo;

        // store the current utilization rate as previous for next check
        uint256 _totalAssetsAvailable = _totalAssetAvailable(totalAsset, totalBorrow, true);
        _prevUtilizationRate = _totalAssetsAvailable == 0 ? 0 : (UTIL_PREC * totalBorrow.amount) / _totalAssetsAvailable;

        // Calc interest
        InterestCalculationResults memory _results = _calculateInterest(_currentRateInfo);

        // Write return values only if interest was updated and calculated
        if (_results.isInterestUpdated) {
            _isInterestUpdated = _results.isInterestUpdated;
            _interestEarned = _results.interestEarned;
            _feesAmount = _results.feesAmount;
            _feesShare = _results.feesShare;

            // emit here so that we have access to the old values
            emit UpdateRate(
                _currentRateInfo.ratePerSec,
                _currentRateInfo.fullUtilizationRate,
                _results.newRate,
                _results.newFullUtilizationRate
            );
            emit AddInterest(_interestEarned, _results.newRate, _feesAmount, _feesShare);

            // overwrite original values
            _currentRateInfo.ratePerSec = _results.newRate;
            _currentRateInfo.fullUtilizationRate = _results.newFullUtilizationRate;
            _currentRateInfo.lastTimestamp = uint64(block.timestamp);
            _currentRateInfo.lastBlock = uint32(block.number);

            // Effects: write to state
            currentRateInfo = _currentRateInfo;
            totalAsset = _results.totalAsset;
            totalBorrow = _results.totalBorrow;
            if (_feesShare > 0) _mint(address(this), _feesShare);
        }
    }

    // ============================================================================================
    // Functions: ExchangeRate
    // ============================================================================================

    /// @notice The ```UpdateExchangeRate``` event is emitted when the Collateral:Asset exchange rate is updated
    /// @param lowExchangeRate The low exchange rate
    /// @param highExchangeRate The high exchange rate
    event UpdateExchangeRate(uint256 lowExchangeRate, uint256 highExchangeRate);

    /// @notice The ```WarnOracleData``` event is emitted when one of the oracles has stale or otherwise problematic data
    /// @param oracle The oracle address
    event WarnOracleData(address oracle);

    /// @notice The ```updateExchangeRate``` function is the external implementation of _updateExchangeRate.
    /// @dev This function is invoked at most once per block as these queries can be expensive
    /// @return _isBorrowAllowed True if deviation is within bounds
    /// @return _lowExchangeRate The low exchange rate
    /// @return _highExchangeRate The high exchange rate
    function updateExchangeRate()
        external
        nonReentrant
        returns (bool _isBorrowAllowed, uint256 _lowExchangeRate, uint256 _highExchangeRate)
    {
        return _updateExchangeRate();
    }

    /// @notice The ```_updateExchangeRate``` function retrieves the latest exchange rate. i.e how much collateral to buy 1e18 asset.
    /// @dev This function is invoked at most once per block as these queries can be expensive
    /// @return _isBorrowAllowed True if deviation is within bounds
    /// @return _lowExchangeRate The low exchange rate
    /// @return _highExchangeRate The high exchange rate

    function _updateExchangeRate()
        internal
        returns (bool _isBorrowAllowed, uint256 _lowExchangeRate, uint256 _highExchangeRate)
    {
        // Pull from storage to save gas and set default return values
        ExchangeRateInfo memory _exchangeRateInfo = exchangeRateInfo;

        // Short circuit if already updated this block
        if (_exchangeRateInfo.lastTimestamp != block.timestamp) {
            // Get the latest exchange rate from the dual oracle
            bool _oneOracleBad;
            (_oneOracleBad, _lowExchangeRate, _highExchangeRate) = IDualOracle(_exchangeRateInfo.oracle).getPrices();

            // If one oracle is bad data, emit an event for off-chain monitoring
            if (_oneOracleBad) emit WarnOracleData(_exchangeRateInfo.oracle);

            // Effects: Bookkeeping and write to storage
            _exchangeRateInfo.lastTimestamp = uint184(block.timestamp);
            _exchangeRateInfo.lowExchangeRate = _lowExchangeRate;
            _exchangeRateInfo.highExchangeRate = _highExchangeRate;
            exchangeRateInfo = _exchangeRateInfo;
            emit UpdateExchangeRate(_lowExchangeRate, _highExchangeRate);
        } else {
            // Use default return values if already updated this block
            _lowExchangeRate = _exchangeRateInfo.lowExchangeRate;
            _highExchangeRate = _exchangeRateInfo.highExchangeRate;
        }

        uint256 _deviation = (
            DEVIATION_PRECISION * (_exchangeRateInfo.highExchangeRate - _exchangeRateInfo.lowExchangeRate)
        ) / _exchangeRateInfo.highExchangeRate;
        if (_deviation <= _exchangeRateInfo.maxOracleDeviation) {
            _isBorrowAllowed = true;
        }
    }

    // ============================================================================================
    // Functions: Lending
    // ============================================================================================

    /// @notice The ```Deposit``` event fires when a user deposits assets to the pair
    /// @param caller the msg.sender
    /// @param owner the account the fTokens are sent to
    /// @param assets the amount of assets deposited
    /// @param shares the number of fTokens minted
    event Deposit(address indexed caller, address indexed owner, uint256 assets, uint256 shares);

    /// @notice The ```_deposit``` function is the internal implementation for lending assets
    /// @dev Caller must invoke ```ERC20.approve``` on the Asset Token contract prior to calling function
    /// @param _totalAsset An in memory VaultAccount struct representing the total amounts and shares for the Asset Token
    /// @param _amount The amount of Asset Token to be transferred
    /// @param _shares The amount of Asset Shares (fTokens) to be minted
    /// @param _receiver The address to receive the Asset Shares (fTokens)
    /// @param _shouldTransfer Whether asset tokens should be deposited from the sender
    function _deposit(
        VaultAccount memory _totalAsset,
        uint128 _amount,
        uint128 _shares,
        address _receiver,
        bool _shouldTransfer
    ) internal {
        // Effects: bookkeeping
        _totalAsset.amount += _amount;
        _totalAsset.shares += _shares;

        // Effects: write back to storage
        _mint(_receiver, _shares);
        totalAsset = _totalAsset;

        // Interactions
        if (_shouldTransfer) {
            assetContract.safeTransferFrom(msg.sender, address(this), _amount);

            if (address(externalAssetVault) != address(0) && _amount > _totalAsset.totalAmount(address(0)) / 1000) {
                // if the external asset vault is over utilized or this pair is over allocated,
                // return the amount being deposited to the vault
                externalAssetVault.whitelistUpdate(true);
                uint256 _assetsUtilized = externalAssetVault.vaultUtilization(address(this));
                bool _vaultOverUtilized =
                    1e18 * externalAssetVault.totalAssetsUtilized() / externalAssetVault.totalAssets() > 1e18 * 8 / 10;
                bool _pairOverAllocation = _assetsUtilized > externalAssetVault.vaultMaxAllocation(address(this));
                if (_vaultOverUtilized || _pairOverAllocation) {
                    uint256 _extAmount = _assetsUtilized > _amount ? _amount : _assetsUtilized;
                    _withdrawToVault(_extAmount);
                }
            }
        }
        emit Deposit(msg.sender, _receiver, _amount, _shares);
    }

    function previewDeposit(uint256 _assets) external view returns (uint256 _sharesReceived) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        _sharesReceived = _totalAsset.toShares(_assets, false);
    }

    /// @notice The ```deposit``` function allows a user to Lend Assets by specifying the amount of Asset Tokens to lend
    /// @dev Caller must invoke ```ERC20.approve``` on the Asset Token contract prior to calling function
    /// @param _amount The amount of Asset Token to transfer to Pair
    /// @param _receiver The address to receive the Asset Shares (fTokens)
    /// @return _sharesReceived The number of fTokens received for the deposit
    function deposit(uint256 _amount, address _receiver) external nonReentrant returns (uint256 _sharesReceived) {
        if (_receiver == address(0)) revert InvalidReceiver();

        // Accrue interest if necessary
        _addInterest();

        // Pull from storage to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Check if this deposit will violate the deposit limit
        if (depositLimit < _totalAsset.totalAmount(address(0)) + _amount) revert ExceedsDepositLimit();

        // Calculate the number of fTokens to mint
        _sharesReceived = _totalAsset.toShares(_amount, false);

        // Execute the deposit effects
        _deposit(_totalAsset, _amount.toUint128(), _sharesReceived.toUint128(), _receiver, true);
    }

    /// @notice The ```_depositFromVault``` function deposits assets here from the configured external vault if available
    /// @param _amount The amount of Asset Tokens to be transferred from the vault
    /// @return _sharesReceived The number of Asset Shares (fTokens) to mint for Asset Tokens
    function _depositFromVault(uint256 _amount) internal returns (uint256 _sharesReceived) {
        // Pull from storage to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Calculate the number of fTokens to mint
        _sharesReceived = _totalAsset.toShares(_amount, false);

        // Withdraw assets from external vault here
        externalAssetVault.whitelistWithdraw(_amount);

        // Execute the deposit effects
        _deposit(_totalAsset, _amount.toUint128(), _sharesReceived.toUint128(), address(externalAssetVault), false);
    }

    /// @notice The ```_withdrawToVault``` function withdraws assets back to an external vault if previously used
    /// @param _amountToReturn The amount of Asset Tokens to be transferred to the vault
    /// @return _shares The number of Asset Shares (fTokens) to burn for Asset Tokens
    function _withdrawToVault(uint256 _amountToReturn) internal returns (uint256 _shares) {
        // Pull from storage to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Calculate the number of shares to burn based on the assets to transfer
        _shares = _totalAsset.toShares(_amountToReturn, true);
        uint256 _vaultBal = balanceOf(address(externalAssetVault));
        _shares = _vaultBal < _shares ? _vaultBal : _shares;

        // Deposit assets to external vault
        assetContract.approve(address(externalAssetVault), _amountToReturn);
        externalAssetVault.whitelistDeposit(_amountToReturn);

        // Execute the withdraw effects for vault
        // receive assets here in order to call whitelistDeposit and handle accounting in external vault
        _redeem(
            _totalAsset,
            _amountToReturn.toUint128(),
            _shares.toUint128(),
            address(this),
            address(externalAssetVault),
            true
        );
    }

    function previewMint(uint256 _shares) external view returns (uint256 _amount) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        _amount = _totalAsset.toAmount(_shares, true);
    }

    function mint(uint256 _shares, address _receiver) external nonReentrant returns (uint256 _amount) {
        if (_receiver == address(0)) revert InvalidReceiver();

        // Accrue interest if necessary
        _addInterest();

        // Pull from storage to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Calculate the number of assets to transfer based on the shares to mint
        _amount = _totalAsset.toAmount(_shares, true);

        // Check if this deposit will violate the deposit limit
        if (depositLimit < _totalAsset.totalAmount(address(0)) + _amount) revert ExceedsDepositLimit();

        // Execute the deposit effects
        _deposit(_totalAsset, _amount.toUint128(), _shares.toUint128(), _receiver, true);
    }

    /// @notice The ```Withdraw``` event fires when a user redeems their fTokens for the underlying asset
    /// @param caller the msg.sender
    /// @param receiver The address to which the underlying asset will be transferred to
    /// @param owner The owner of the fTokens
    /// @param assets The assets transferred
    /// @param shares The number of fTokens burned
    event Withdraw(
        address indexed caller, address indexed receiver, address indexed owner, uint256 assets, uint256 shares
    );

    /// @notice The ```_redeem``` function is an internal implementation which allows a Lender to pull their Asset Tokens out of the Pair
    /// @dev Caller must invoke ```ERC20.approve``` on the Asset Token contract prior to calling function
    /// @param _totalAsset An in-memory VaultAccount struct which holds the total amount of Asset Tokens and the total number of Asset Shares (fTokens)
    /// @param _amountToReturn The number of Asset Tokens to return
    /// @param _shares The number of Asset Shares (fTokens) to burn
    /// @param _receiver The address to which the Asset Tokens will be transferred
    /// @param _owner The owner of the Asset Shares (fTokens)
    function _redeem(
        VaultAccount memory _totalAsset,
        uint128 _amountToReturn,
        uint128 _shares,
        address _receiver,
        address _owner,
        bool _skipAllowanceCheck
    ) internal {
        // Check for sufficient allowance/approval if necessary
        if (msg.sender != _owner && !_skipAllowanceCheck) {
            uint256 allowed = allowance(_owner, msg.sender);
            // NOTE: This will revert on underflow ensuring that allowance > shares
            if (allowed != type(uint256).max) _approve(_owner, msg.sender, allowed - _shares);
        }

        // Check for sufficient withdraw liquidity (not strictly necessary because balance will underflow)
        uint256 _totAssetsAvailable = _totalAssetAvailable(_totalAsset, totalBorrow, true);
        if (_totAssetsAvailable < _amountToReturn) {
            revert InsufficientAssetsInContract(_totAssetsAvailable, _amountToReturn);
        }

        // If we're redeeming back to the vault, don't deposit from the vault
        if (_owner != address(externalAssetVault)) {
            uint256 _localAssetsAvailable = _totalAssetAvailable(_totalAsset, totalBorrow, false);
            if (_localAssetsAvailable < _amountToReturn) {
                uint256 _vaultAmt = _amountToReturn - _localAssetsAvailable;
                _depositFromVault(_vaultAmt);

                // Rewrite to memory, now it's the latest value!
                _totalAsset = totalAsset;
            }
        }

        // Effects: bookkeeping
        _totalAsset.amount -= _amountToReturn;
        _totalAsset.shares -= _shares;

        // Effects: write to storage
        totalAsset = _totalAsset;
        _burn(_owner, _shares);

        // Interactions
        if (_receiver != address(this)) {
            assetContract.safeTransfer(_receiver, _amountToReturn);
        }
        emit Withdraw(msg.sender, _receiver, _owner, _amountToReturn, _shares);
    }

    function previewRedeem(uint256 _shares) external view returns (uint256 _assets) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        _assets = _totalAsset.toAmount(_shares, false);
    }

    /// @notice The ```redeem``` function allows the caller to redeem their Asset Shares for Asset Tokens
    /// @param _shares The number of Asset Shares (fTokens) to burn for Asset Tokens
    /// @param _receiver The address to which the Asset Tokens will be transferred
    /// @param _owner The owner of the Asset Shares (fTokens)
    /// @return _amountToReturn The amount of Asset Tokens to be transferred
    function redeem(uint256 _shares, address _receiver, address _owner)
        external
        nonReentrant
        returns (uint256 _amountToReturn)
    {
        if (_receiver == address(0)) revert InvalidReceiver();

        // Check if withdraw is paused and revert if necessary
        if (isWithdrawPaused) revert WithdrawPaused();

        // Accrue interest if necessary
        _addInterest();

        // Pull from storage to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Calculate the number of assets to transfer based on the shares to burn
        _amountToReturn = _totalAsset.toAmount(_shares, false);

        // Execute the withdraw effects
        _redeem(_totalAsset, _amountToReturn.toUint128(), _shares.toUint128(), _receiver, _owner, false);
    }

    /// @notice The ```previewWithdraw``` function returns the number of Asset Shares (fTokens) that would be burned for a given amount of Asset Tokens
    /// @param _amount The amount of Asset Tokens to be withdrawn
    /// @return _sharesToBurn The number of shares that would be burned
    function previewWithdraw(uint256 _amount) external view returns (uint256 _sharesToBurn) {
        (,,,, VaultAccount memory _totalAsset,) = previewAddInterest();
        _sharesToBurn = _totalAsset.toShares(_amount, true);
    }

    /// @notice The ```withdraw``` function allows the caller to withdraw their Asset Tokens for a given amount of fTokens
    /// @param _amount The amount to withdraw
    /// @param _receiver The address to which the Asset Tokens will be transferred
    /// @param _owner The owner of the Asset Shares (fTokens)
    /// @return _sharesToBurn The number of shares (fTokens) that were burned
    function withdraw(uint256 _amount, address _receiver, address _owner)
        external
        nonReentrant
        returns (uint256 _sharesToBurn)
    {
        if (_receiver == address(0)) revert InvalidReceiver();

        // Check if withdraw is paused and revert if necessary
        if (isWithdrawPaused) revert WithdrawPaused();

        // Accrue interest if necessary
        _addInterest();

        // Pull from storage to save gas
        VaultAccount memory _totalAsset = totalAsset;

        // Calculate the number of shares to burn based on the amount to withdraw
        _sharesToBurn = _totalAsset.toShares(_amount, true);

        // Execute the withdraw effects
        _redeem(_totalAsset, _amount.toUint128(), _sharesToBurn.toUint128(), _receiver, _owner, false);
    }

    // ============================================================================================
    // Functions: Borrowing
    // ============================================================================================

    /// @notice The ```BorrowAsset``` event is emitted when a borrower increases their position
    /// @param _borrower The borrower whose account was debited
    /// @param _receiver The address to which the Asset Tokens were transferred
    /// @param _borrowAmount The amount of Asset Tokens transferred
    /// @param _sharesAdded The number of Borrow Shares the borrower was debited
    event BorrowAsset(
        address indexed _borrower, address indexed _receiver, uint256 _borrowAmount, uint256 _sharesAdded
    );

    /// @notice The ```_borrowAsset``` function is the internal implementation for borrowing assets
    /// @param _borrowAmount The amount of the Asset Token to borrow
    /// @param _receiver The address to receive the Asset Tokens
    /// @return _sharesAdded The amount of borrow shares the msg.sender will be debited
    function _borrowAsset(uint128 _borrowAmount, address _receiver) internal returns (uint256 _sharesAdded) {
        // Get borrow accounting from storage to save gas
        VaultAccount memory _totalBorrow = totalBorrow;

        // Check available capital (not strictly necessary because balance will underflow, but better revert message)
        uint256 _totalAssetsAvailable = _totalAssetAvailable(totalAsset, _totalBorrow, true);
        if (_totalAssetsAvailable < _borrowAmount) {
            revert InsufficientAssetsInContract(_totalAssetsAvailable, _borrowAmount);
        }
        uint256 _localAssetsAvailable = _totalAssetAvailable(totalAsset, _totalBorrow, false);
        if (_localAssetsAvailable < _borrowAmount) {
            uint256 _externalAmt = _borrowAmount - _localAssetsAvailable;
            _depositFromVault(_externalAmt);
        }

        // Calculate the number of shares to add based on the amount to borrow
        _sharesAdded = _totalBorrow.toShares(_borrowAmount, true);

        // Effects: Bookkeeping to add shares & amounts to total Borrow accounting
        _totalBorrow.amount += _borrowAmount;
        _totalBorrow.shares += _sharesAdded.toUint128();
        // NOTE: we can safely cast here because shares are always less than amount and _borrowAmount is uint128

        // Effects: write back to storage
        totalBorrow = _totalBorrow;
        userBorrowShares[msg.sender] += _sharesAdded;
        _lastBorrow[msg.sender] = block.number;

        // Interactions
        if (_receiver != address(this)) {
            assetContract.safeTransfer(_receiver, _borrowAmount);
        }
        emit BorrowAsset(msg.sender, _receiver, _borrowAmount, _sharesAdded);
    }

    /// @notice The ```borrowAsset``` function allows a user to open/increase a borrow position
    /// @dev Borrower must call ```ERC20.approve``` on the Collateral Token contract if applicable
    /// @param _borrowAmount The amount of Asset Token to borrow
    /// @param _collateralAmount The amount of Collateral Token to transfer to Pair
    /// @param _receiver The address which will receive the Asset Tokens
    /// @return _shares The number of borrow Shares the msg.sender will be debited
    function borrowAsset(uint256 _borrowAmount, uint256 _collateralAmount, address _receiver)
        external
        nonReentrant
        isSolvent(msg.sender)
        hasBorrowCapacity(msg.sender)
        returns (uint256 _shares)
    {
        if (_receiver == address(0)) revert InvalidReceiver();

        // Accrue interest if necessary
        _addInterest();

        // Check if borrow will violate the borrow limit and revert if necessary
        if (borrowLimit < totalBorrow.amount + _borrowAmount) revert ExceedsBorrowLimit();

        // Update _exchangeRate and check if borrow is allowed based on deviation
        (bool _isBorrowAllowed,,) = _updateExchangeRate();
        if (!_isBorrowAllowed) revert ExceedsMaxOracleDeviation();

        // Only add collateral if necessary
        if (_collateralAmount > 0) {
            _addCollateral(msg.sender, _collateralAmount, msg.sender);
        }

        // Effects: Call internal borrow function
        _shares = _borrowAsset(_borrowAmount.toUint128(), _receiver);
    }

    /// @notice The ```AddCollateral``` event is emitted when a borrower adds collateral to their position
    /// @param sender The source of funds for the new collateral
    /// @param borrower The borrower account for which the collateral should be credited
    /// @param collateralAmount The amount of Collateral Token to be transferred
    event AddCollateral(address indexed sender, address indexed borrower, uint256 collateralAmount);

    /// @notice The ```_addCollateral``` function is an internal implementation for adding collateral to a borrowers position
    /// @param _sender The source of funds for the new collateral
    /// @param _collateralAmount The amount of Collateral Token to be transferred
    /// @param _borrower The borrower account for which the collateral should be credited
    function _addCollateral(address _sender, uint256 _collateralAmount, address _borrower) internal {
        // Effects: write to state
        userCollateralBalance[_borrower] += _collateralAmount;
        totalCollateral += _collateralAmount;
        _lastAddCollateral[_borrower] = block.number;

        // Interactions
        if (_sender != address(this)) {
            collateralContract.safeTransferFrom(_sender, address(this), _collateralAmount);
        }
        emit AddCollateral(_sender, _borrower, _collateralAmount);
    }

    /// @notice The ```addCollateral``` function allows the caller to add Collateral Token to a borrowers position
    /// @dev msg.sender must call ERC20.approve() on the Collateral Token contract prior to invocation
    /// @param _collateralAmount The amount of Collateral Token to be added to borrower's position
    /// @param _borrower The account to be credited
    function addCollateral(uint256 _collateralAmount, address _borrower) external nonReentrant {
        if (_borrower == address(0)) revert InvalidReceiver();

        _addInterest();
        _addCollateral(msg.sender, _collateralAmount, _borrower);
    }

    /// @notice The ```RemoveCollateral``` event is emitted when collateral is removed from a borrower's position
    /// @param _sender The account from which funds are transferred
    /// @param _collateralAmount The amount of Collateral Token to be transferred
    /// @param _receiver The address to which Collateral Tokens will be transferred
    event RemoveCollateral(
        address indexed _sender, uint256 _collateralAmount, address indexed _receiver, address indexed _borrower
    );

    /// @notice The ```_removeCollateral``` function is the internal implementation for removing collateral from a borrower's position
    /// @param _collateralAmount The amount of Collateral Token to remove from the borrower's position
    /// @param _receiver The address to r...

// [truncated — 63423 bytes total]

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

// ====================================================================
// |     ______                   _______                             |
// |    / _____________ __  __   / ____(_____  ____ _____  ________   |
// |   / /_  / ___/ __ `| |/_/  / /_  / / __ \/ __ `/ __ \/ ___/ _ \  |
// |  / __/ / /  / /_/ _>  <   / __/ / / / / / /_/ / / / / /__/  __/  |
// | /_/   /_/   \__,_/_/|_|  /_/   /_/_/ /_/\__,_/_/ /_/\___/\___/   |
// |                                                                  |
// ====================================================================
// ========================== Timelock2Step ===========================
// ====================================================================
// Frax Finance: https://github.com/FraxFinance

// Primary Author
// Drake Evans: https://github.com/DrakeEvans

// Reviewers
// Dennis: https://github.com/denett

// ====================================================================

/// @title Timelock2Step
/// @author Drake Evans (Frax Finance) https://github.com/drakeevans
/// @dev Inspired by the OpenZeppelin's Ownable2Step contract
/// @notice  An abstract contract which contains 2-step transfer and renounce logic for a timelock address
abstract contract Timelock2Step {
    /// @notice The pending timelock address
    address public pendingTimelockAddress;

    /// @notice The current timelock address
    address public timelockAddress;

    constructor() {
        timelockAddress = msg.sender;
    }

    /// @notice Emitted when timelock is transferred
    error OnlyTimelock();

    /// @notice Emitted when pending timelock is transferred
    error OnlyPendingTimelock();

    /// @notice The ```TimelockTransferStarted``` event is emitted when the timelock transfer is initiated
    /// @param previousTimelock The address of the previous timelock
    /// @param newTimelock The address of the new timelock
    event TimelockTransferStarted(address indexed previousTimelock, address indexed newTimelock);

    /// @notice The ```TimelockTransferred``` event is emitted when the timelock transfer is completed
    /// @param previousTimelock The address of the previous timelock
    /// @param newTimelock The address of the new timelock
    event TimelockTransferred(address indexed previousTimelock, address indexed newTimelock);

    /// @notice The ```_isSenderTimelock``` function checks if msg.sender is current timelock address
    /// @return Whether or not msg.sender is current timelock address
    function _isSenderTimelock() internal view returns (bool) {
        return msg.sender == timelockAddress;
    }

    /// @notice The ```_requireTimelock``` function reverts if msg.sender is not current timelock address
    function _requireTimelock() internal view {
        if (msg.sender != timelockAddress) revert OnlyTimelock();
    }

    /// @notice The ```_isSenderPendingTimelock``` function checks if msg.sender is pending timelock address
    /// @return Whether or not msg.sender is pending timelock address
    function _isSenderPendingTimelock() internal view returns (bool) {
        return msg.sender == pendingTimelockAddress;
    }

    /// @notice The ```_requirePendingTimelock``` function reverts if msg.sender is not pending timelock address
    function _requirePendingTimelock() internal view {
        if (msg.sender != pendingTimelockAddress) revert OnlyPendingTimelock();
    }

    /// @notice The ```_transferTimelock``` function initiates the timelock transfer
    /// @dev This function is to be implemented by a public function
    /// @param _newTimelock The address of the nominated (pending) timelock
    function _transferTimelock(address _newTimelock) internal {
        pendingTimelockAddress = _newTimelock;
        emit TimelockTransferStarted(timelockAddress, _newTimelock);
    }

    /// @notice The ```_acceptTransferTimelock``` function completes the timelock transfer
    /// @dev This function is to be implemented by a public function
    function _acceptTransferTimelock() internal {
        pendingTimelockAddress = address(0);
        _setTimelock(msg.sender);
    }

    /// @notice The ```_setTimelock``` function sets the timelock address
    /// @dev This function is to be implemented by a public function
    /// @param _newTimelock The address of the new timelock
    function _setTimelock(address _newTimelock) internal {
        emit TimelockTransferred(timelockAddress, _newTimelock);
        timelockAddress = _newTimelock;
    }

    /// @notice The ```transferTimelock``` function initiates the timelock transfer
    /// @dev Must be called by the current timelock
    /// @param _newTimelock The address of the nominated (pending) timelock
    function transferTimelock(address _newTimelock) external virtual {
        _requireTimelock();
        _transferTimelock(_newTimelock);
    }

    /// @notice The ```acceptTransferTimelock``` function completes the timelock transfer
    /// @dev Must be called by the pending timelock
    function acceptTransferTimelock() external virtual {
        _requirePendingTimelock();
        _acceptTransferTimelock();
    }

    /// @notice The ```renounceTimelock``` function renounces the timelock after setting pending timelock to current timelock
    /// @dev Pending timelock must be set to current timelock before renouncing, creating a 2-step renounce process
    function renounceTimelock() external virtual {
        _requireTimelock();
        _requirePendingTimelock();
        _transferTimelock(address(0));
        _setTimelock(address(0));
    }
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

import {IERC20} from "@openzeppelin/contracts/interfaces/IERC20.sol";
import {SafeERC20 as OZSafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";

// solhint-disable avoid-low-level-calls
// solhint-disable max-line-length

/// @title SafeERC20 provides helper functions for safe transfers as well as safe metadata access
/// @author Library originally written by @Boring_Crypto github.com/boring_crypto, modified by Drake Evans (Frax Finance) github.com/drakeevans
/// @dev original: https://github.com/boringcrypto/BoringSolidity/blob/fed25c5d43cb7ce20764cd0b838e21a02ea162e9/contracts/libraries/BoringERC20.sol
library SafeERC20 {
    bytes4 private constant SIG_SYMBOL = 0x95d89b41; // symbol()
    bytes4 private constant SIG_NAME = 0x06fdde03; // name()
    bytes4 private constant SIG_DECIMALS = 0x313ce567; // decimals()

    function returnDataToString(bytes memory data) internal pure returns (string memory) {
        if (data.length >= 64) {
            return abi.decode(data, (string));
        } else if (data.length == 32) {
            uint8 i = 0;
            while (i < 32 && data[i] != 0) {
                i++;
            }
            bytes memory bytesArray = new bytes(i);
            for (i = 0; i < 32 && data[i] != 0; i++) {
                bytesArray[i] = data[i];
            }
            return string(bytesArray);
        } else {
            return "???";
        }
    }

    /// @notice Provides a safe ERC20.symbol version which returns '???' as fallback string.
    /// @param token The address of the ERC-20 token contract.
    /// @return (string) Token symbol.
    function safeSymbol(IERC20 token) internal view returns (string memory) {
        (bool success, bytes memory data) = address(token).staticcall(abi.encodeWithSelector(SIG_SYMBOL));
        return success ? returnDataToString(data) : "???";
    }

    /// @notice Provides a safe ERC20.name version which returns '???' as fallback string.
    /// @param token The address of the ERC-20 token contract.
    /// @return (string) Token name.
    function safeName(IERC20 token) internal view returns (string memory) {
        (bool success, bytes memory data) = address(token).staticcall(abi.encodeWithSelector(SIG_NAME));
        return success ? returnDataToString(data) : "???";
    }

    /// @notice Provides a safe ERC20.decimals version which returns '18' as fallback value.
    /// @param token The address of the ERC-20 token contract.
    /// @return (uint8) Token decimals.
    function safeDecimals(IERC20 token) internal view returns (uint8) {
        (bool success, bytes memory data) = address(token).staticcall(abi.encodeWithSelector(SIG_DECIMALS));
        return success && data.length == 32 ? abi.decode(data, (uint8)) : 18;
    }

    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        OZSafeERC20.safeTransfer(token, to, value);
    }

    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        OZSafeERC20.safeTransferFrom(token, from, to, value);
    }
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

import {IERC4626Extended} from "../interfaces/IERC4626Extended.sol";

struct VaultAccount {
    uint128 amount; // Total amount, analogous to market cap
    uint128 shares; // Total shares, analogous to shares outstanding
}

/// @title VaultAccount Library
/// @author Drake Evans (Frax Finance) github.com/drakeevans, modified from work by @Boring_Crypto github.com/boring_crypto
/// @notice Provides a library for use with the VaultAccount struct, provides convenient math implementations
/// @dev Uses uint128 to save on storage
library VaultAccountingLibrary {
    function totalAmount(VaultAccount memory total, address vault) internal view returns (uint256 amount) {
        if (vault == address(0)) {
            return total.amount;
        }
        return total.amount + IERC4626Extended(vault).totalAvailableAssetsForVault(address(this));
    }

    /// @notice Calculates the shares value in relationship to `amount` and `total`
    /// @dev Given an amount, return the appropriate number of shares
    function toShares(VaultAccount memory total, uint256 amount, bool roundUp) internal pure returns (uint256 shares) {
        if (total.amount == 0) {
            shares = amount;
        } else {
            shares = (amount * total.shares) / total.amount;
            if (roundUp && (shares * total.amount) / total.shares < amount) {
                shares = shares + 1;
            }
        }
    }

    /// @notice Calculates the amount value in relationship to `shares` and `total`
    /// @dev Given a number of shares, returns the appropriate amount
    function toAmount(VaultAccount memory total, uint256 shares, bool roundUp) internal pure returns (uint256 amount) {
        if (total.shares == 0) {
            amount = shares;
        } else {
            amount = (shares * total.amount) / total.shares;
            if (roundUp && (amount * total.shares) / total.amount < shares) {
                amount = amount + 1;
            }
        }
    }
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

interface IRateCalculatorV2 {
    function name() external view returns (string memory);

    function version() external view returns (uint256, uint256, uint256);

    function getNewRate(uint256 _deltaTime, uint256 _utilization, uint64 _maxInterest)
        external
        view
        returns (uint64 _newRatePerSec, uint64 _newMaxInterest);
}

// SPDX-License-Identifier: MIT
pragma solidity >=0.8.19;

interface ISwapper {
    function swapExactTokensForTokens(
        uint256 amountIn,
        uint256 amountOutMin,
        address[] calldata path,
        address to,
        uint256 deadline
    ) external returns (uint256[] memory amounts);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

// ====================================================================
// |     ______                   _______                             |
// |    / _____________ __  __   / ____(_____  ____ _____  ________   |
// |   / /_  / ___/ __ `| |/_/  / /_  / / __ \/ __ `/ __ \/ ___/ _ \  |
// |  / __/ / /  / /_/ _>  <   / __/ / / / / / /_/ / / / / /__/  __/  |
// | /_/   /_/   \__,_/_/|_|  /_/   /_/_/ /_/\__,_/_/ /_/\___/\___/   |
// |                                                                  |
// ====================================================================
// ==================== FraxlendPairAccessControl =====================
// ====================================================================
// Frax Finance: https://github.com/FraxFinance

// Primary Author
// Drake Evans: https://github.com/DrakeEvans

// Reviewers
// Dennis: https://github.com/denett

// ====================================================================

import {Ownable2Step, Ownable} from "@openzeppelin/contracts/access/Ownable2Step.sol";
import {Timelock2Step} from "./Timelock2Step.sol";
import {FraxlendPairAccessControlErrors} from "./FraxlendPairAccessControlErrors.sol";
import {IERC4626Extended} from "./interfaces/IERC4626Extended.sol";

/// @title FraxlendPairAccessControl
/// @author Drake Evans (Frax Finance) https://github.com/drakeevans
/// @notice  An abstract contract which contains the access control logic for FraxlendPair
abstract contract FraxlendPairAccessControl is Timelock2Step, Ownable2Step, FraxlendPairAccessControlErrors {
    // Deployer
    address public immutable DEPLOYER_ADDRESS;

    // Admin contracts
    address public circuitBreakerAddress;

    // External asset vault
    IERC4626Extended public externalAssetVault;

    // access control
    uint256 public borrowLimit = type(uint256).max;

    uint256 public depositLimit = type(uint256).max;

    bool public isRepayPaused;

    bool public isWithdrawPaused;

    bool public isLiquidatePaused;

    bool public isInterestPaused;

    /// @param _immutables abi.encode(address _circuitBreakerAddress, address _comptrollerAddress, address _timelockAddress)
    constructor(bytes memory _immutables) Timelock2Step() Ownable2Step() {
        // Handle Immutables Configuration
        (address _circuitBreakerAddress, address _comptrollerAddress, address _timelockAddress) =
            abi.decode(_immutables, (address, address, address));
        _setTimelock(_timelockAddress);
        _transferOwnership(_comptrollerAddress);

        // Deployer contract
        DEPLOYER_ADDRESS = msg.sender;
        circuitBreakerAddress = _circuitBreakerAddress;
    }

    // ============================================================================================
    // Functions: Access Control
    // ============================================================================================

    function _requireProtocolOrOwner() internal view {
        if (
            msg.sender != circuitBreakerAddress && msg.sender != owner() && msg.sender != DEPLOYER_ADDRESS
                && msg.sender != timelockAddress
        ) {
            revert OnlyProtocolOrOwner();
        }
    }

    function _requireTimelockOrOwner() internal view {
        if (msg.sender != owner() && msg.sender != timelockAddress) {
            revert OnlyTimelockOrOwner();
        }
    }

    /// @notice The ```SetBorrowLimit``` event is emitted when the borrow limit is set
    /// @param limit The new borrow limit
    event SetBorrowLimit(uint256 limit);

    function _setBorrowLimit(uint256 _limit) internal {
        borrowLimit = _limit;
        emit SetBorrowLimit(_limit);
    }

    /// @notice The ```SetDepositLimit``` event is emitted when the deposit limit is set
    /// @param limit The new deposit limit
    event SetDepositLimit(uint256 limit);

    function _setDepositLimit(uint256 _limit) internal {
        depositLimit = _limit;
        emit SetDepositLimit(_limit);
    }

    /// @notice The ```PauseRepay``` event is emitted when repay is paused or unpaused
    /// @param isPaused The new paused state
    event PauseRepay(bool isPaused);

    function _pauseRepay(bool _isPaused) internal {
        isRepayPaused = _isPaused;
        emit PauseRepay(_isPaused);
    }

    /// @notice The ```PauseWithdraw``` event is emitted when withdraw is paused or unpaused
    /// @param isPaused The new paused state
    event PauseWithdraw(bool isPaused);

    function _pauseWithdraw(bool _isPaused) internal {
        isWithdrawPaused = _isPaused;
        emit PauseWithdraw(_isPaused);
    }

    /// @notice The ```PauseLiquidate``` event is emitted when liquidate is paused or unpaused
    /// @param isPaused The new paused state
    event PauseLiquidate(bool isPaused);

    function _pauseLiquidate(bool _isPaused) internal {
        isLiquidatePaused = _isPaused;
        emit PauseLiquidate(_isPaused);
    }

    /// @notice The ```PauseInterest``` event is emitted when interest is paused or unpaused
    /// @param isPaused The new paused state
    event PauseInterest(bool isPaused);

    function _pauseInterest(bool _isPaused) internal {
        isInterestPaused = _isPaused;
        emit PauseInterest(_isPaused);
    }

    /// @notice The ```SetExternalAssetVault``` event is emitted when the external vault account is changed
    event SetExternalAssetVault(address oldVault, address newVault);

    function _setExternalAssetVault(IERC4626Extended vault) internal {
        IERC4626Extended _oldVault = externalAssetVault;
        externalAssetVault = vault;
        emit SetExternalAssetVault(address(_oldVault), address(vault));
    }

    /// @notice The ```setExternalAssetVault``` function is called to set the external asset vault for the pair
    /// @param vault The new external asset vault
    function setExternalAssetVault(IERC4626Extended vault) external {
        _requireTimelock();
        _setExternalAssetVault(vault);
    }

    /// @notice The ```SetCircuitBreaker``` event is emitted when the circuit breaker address is set
    /// @param oldCircuitBreaker The old circuit breaker address
    /// @param newCircuitBreaker The new circuit breaker address
    event SetCircuitBreaker(address oldCircuitBreaker, address newCircuitBreaker);

    /// @notice The ```_setCircuitBreaker``` function is called to set the circuit breaker address
    /// @param _newCircuitBreaker The new circuit breaker address
    function _setCircuitBreaker(address _newCircuitBreaker) internal {
        address oldCircuitBreaker = circuitBreakerAddress;
        circuitBreakerAddress = _newCircuitBreaker;
        emit SetCircuitBreaker(oldCircuitBreaker, _newCircuitBreaker);
    }

    /// @notice The ```setCircuitBreaker``` function is called to set the circuit breaker address
    /// @param _newCircuitBreaker The new circuit breaker address
    function setCircuitBreaker(address _newCircuitBreaker) external virtual {
        _requireTimelock();
        _setCircuitBreaker(_newCircuitBreaker);
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.19;

import {IERC165} from "@openzeppelin/contracts/utils/introspection/IERC165.sol";

interface IDualOracle is IERC165 {
    function ORACLE_PRECISION() external view returns (uint256);

    function BASE_TOKEN_0() external view returns (address);

    function BASE_TOKEN_0_DECIMALS() external view returns (uint256);

    function BASE_TOKEN_1() external view returns (address);

    function BASE_TOKEN_1_DECIMALS() external view returns (uint256);

    function decimals() external view returns (uint8);

    function getPricesNormalized() external view returns (bool _isBadData, uint256 _priceLow, uint256 _priceHigh);

    function getPrices() external view returns (bool _isBadData, uint256 _priceLow, uint256 _priceHigh);

    function name() external view returns (string memory);

    function NORMALIZATION_0() external view returns (int256);

    function NORMALIZATION_1() external view returns (int256);

    function QUOTE_TOKEN_0() external view returns (address);

    function QUOTE_TOKEN_0_DECIMALS() external view returns (uint256);

    function QUOTE_TOKEN_1() external view returns (address);

    function QUOTE_TOKEN_1_DECIMALS() external view returns (uint256);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC20.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/IERC20.sol";

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";
import "../extensions/IERC20Permit.sol";
import "../../../utils/Address.sol";

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using Address for address;

    /**
     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    /**
     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
     */
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        require(
            (value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    /**
     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 oldAllowance = token.allowance(address(this), spender);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));
    }

    /**
     * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Compatible with tokens that require the approval to be set to
     * 0 before setting it to a non-zero value.
     */
    function forceApprove(IERC20 token, address spender, uint256 value) internal {
        bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);

        if (!_callOptionalReturnBool(token, approvalCall)) {
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));
            _callOptionalReturn(token, approvalCall);
        }
    }

    /**
     * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.
     * Revert on invalid signature.
     */
    function safePermit(
        IERC20Permit token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
     */
    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
        // and not revert is the subcall reverts.

        (bool success, bytes memory returndata) = address(token).call(data);
        return
            success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token));
    }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.19;

import {IERC4626} from "@openzeppelin/contracts/interfaces/IERC4626.sol";

interface IERC4626Extended is IERC4626 {
    function vaultUtilization(address vault) external view returns (uint256);

    function vaultMaxAllocation(address vault) external view returns (uint256);

    function totalAssetsUtilized() external view returns (uint256);

    function totalAvailableAssets() external view returns (uint256);

    function totalAvailableAssetsForVault(address vault) external view returns (uint256);

    function whitelistUpdate(bool onlyCaller) external;

    function whitelistWithdraw(uint256 amount) external;

    function whitelistDeposit(uint256 amount) external;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable2Step.sol)

pragma solidity ^0.8.0;

import "./Ownable.sol";

/**
 * @dev Contract module which provides access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership} and {acceptOwnership}.
 *
 * This module is used through inheritance. It will make available all functions
 * from parent (Ownable).
 */
abstract contract Ownable2Step is Ownable {
    address private _pendingOwner;

    event OwnershipTransferStarted(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Returns the address of the pending owner.
     */
    function pendingOwner() public view virtual returns (address) {
        return _pendingOwner;
    }

    /**
     * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual override onlyOwner {
        _pendingOwner = newOwner;
        emit OwnershipTransferStarted(owner(), newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual override {
        delete _pendingOwner;
        super._transferOwnership(newOwner);
    }

    /**
     * @dev The new owner accepts the ownership transfer.
     */
    function acceptOwnership() public virtual {
        address sender = _msgSender();
        require(pendingOwner() == sender, "Ownable2Step: caller is not the new owner");
        _transferOwnership(sender);
    }
}

// SPDX-License-Identifier: ISC
pragma solidity ^0.8.19;

// ====================================================================
// |     ______                   _______                             |
// |    / _____________ __  __   / ____(_____  ____ _____  ________   |
// |   / /_  / ___/ __ `| |/_/  / /_  / / __ \/ __ `/ __ \/ ___/ _ \  |
// |  / __/ / /  / /_/ _>  <   / __/ / / / / / /_/ / / / / /__/  __/  |
// | /_/   /_/   \__,_/_/|_|  /_/   /_/_/ /_/\__,_/_/ /_/\___/\___/   |
// |                                                                  |
// ====================================================================
// ================ FraxlendPairAccessControlErrors ===================
// ====================================================================
// Frax Finance: https://github.com/FraxFinance

// Primary Author
// Drake Evans: https://github.com/DrakeEvans

// Reviewers
// Dennis: https://github.com/denett

// ====================================================================

/// @title FraxlendPairAccessControlErrors
/// @author Drake Evans (Frax Finance) https://github.com/drakeevans
/// @notice  An abstract contract which contains the errors for the Access Control contract
abstract contract FraxlendPairAccessControlErrors {
    error OnlyProtocolOrOwner();
    error OnlyTimelockOrOwner();
    error ExceedsBorrowLimit();
    error AccessControlRevoked();
    error RepayPaused();
    error ExceedsDepositLimit();
    error WithdrawPaused();
    error LiquidatePaused();
    error InterestPaused();
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20Permit {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);

    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     *
     * Furthermore, `isContract` will also return true if the target contract within
     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
     * which only has an effect at the end of a transaction.
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC4626.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/IERC20.sol";
import "../token/ERC20/extensions/IERC20Metadata.sol";

/**
 * @dev Interface of the ERC4626 "Tokenized Vault Standard", as defined in
 * https://eips.ethereum.org/EIPS/eip-4626[ERC-4626].
 *
 * _Available since v4.7._
 */
interface IERC4626 is IERC20, IERC20Metadata {
    event Deposit(address indexed sender, address indexed owner, uint256 assets, uint256 shares);

    event Withdraw(
        address indexed sender,
        address indexed receiver,
        address indexed owner,
        uint256 assets,
        uint256 shares
    );

    /**
     * @dev Returns the address of the underlying token used for the Vault for accounting, depositing, and withdrawing.
     *
     * - MUST be an ERC-20 token contract.
     * - MUST NOT revert.
     */
    function asset() external view returns (address assetTokenAddress);

    /**
     * @dev Returns the total amount of the underlying asset that is “managed” by Vault.
     *
     * - SHOULD include any compounding that occurs from yield.
     * - MUST be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT revert.
     */
    function totalAssets() external view returns (uint256 totalManagedAssets);

    /**
     * @dev Returns the amount of shares that the Vault would exchange for the amount of assets provided, in an ideal
     * scenario where all the conditions are met.
     *
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertToShares(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Returns the amount of assets that the Vault would exchange for the amount of shares provided, in an ideal
     * scenario where all the conditions are met.
     *
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertToAssets(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Returns the maximum amount of the underlying asset that can be deposited into the Vault for the receiver,
     * through a deposit call.
     *
     * - MUST return a limited value if receiver is subject to some deposit limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of assets that may be deposited.
     * - MUST NOT revert.
     */
    function maxDeposit(address receiver) external view returns (uint256 maxAssets);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their deposit at the current block, given
     * current on-chain conditions.
     *
     * - MUST return as close to and no more than the exact amount of Vault shares that would be minted in a deposit
     *   call in the same transaction. I.e. deposit should return the same or more shares as previewDeposit if called
     *   in the same transaction.
     * - MUST NOT account for deposit limits like those returned from maxDeposit and should always act as though the
     *   deposit would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToShares and previewDeposit SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by depositing.
     */
    function previewDeposit(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Mints shares Vault shares to receiver by depositing exactly amount of underlying tokens.
     *
     * - MUST emit the Deposit event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   deposit execution, and are accounted for during deposit.
     * - MUST revert if all of assets cannot be deposited (due to deposit limit being reached, slippage, the user not
     *   approving enough underlying tokens to the Vault contract, etc).
     *
     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.
     */
    function deposit(uint256 assets, address receiver) external returns (uint256 shares);

    /**
     * @dev Returns the maximum amount of the Vault shares that can be minted for the receiver, through a mint call.
     * - MUST return a limited value if receiver is subject to some mint limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of shares that may be minted.
     * - MUST NOT revert.
     */
    function maxMint(address receiver) external view returns (uint256 maxShares);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their mint at the current block, given
     * current on-chain conditions.
     *
     * - MUST return as close to and no fewer than the exact amount of assets that would be deposited in a mint call
     *   in the same transaction. I.e. mint should return the same or fewer assets as previewMint if called in the
     *   same transaction.
     * - MUST NOT account for mint limits like those returned from maxMint and should always act as though the mint
     *   would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToAssets and previewMint SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by minting.
     */
    function previewMint(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Mints exactly shares Vault shares to receiver by depositing amount of underlying tokens.
     *
     * - MUST emit the Deposit event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the mint
     *   execution, and are accounted for during mint.
     * - MUST revert if all of shares cannot be minted (due to deposit limit being reached, slippage, the user not
     *   approving enough underlying tokens to the Vault contract, etc).
     *
     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.
     */
    function mint(uint256 shares, address receiver) external returns (uint256 assets);

    /**
     * @dev Returns the maximum amount of the underlying asset that can be withdrawn from the owner balance in the
     * Vault, through a withdraw call.
     *
     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.
     * - MUST NOT revert.
     */
    function maxWithdraw(address owner) external view returns (uint256 maxAssets);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their withdrawal at the current block,
     * given current on-chain conditions.
     *
     * - MUST return as close to and no fewer than the exact amount of Vault shares that would be burned in a withdraw
     *   call in the same transaction. I.e. withdraw should return the same or fewer shares as previewWithdraw if
     *   called
     *   in the same transaction.
     * - MUST NOT account for withdrawal limits like those returned from maxWithdraw and should always act as though
     *   the withdrawal would be accepted, regardless if the user has enough shares, etc.
     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToShares and previewWithdraw SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by depositing.
     */
    function previewWithdraw(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Burns shares from owner and sends exactly assets of underlying tokens to receiver.
     *
     * - MUST emit the Withdraw event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   withdraw execution, and are accounted for during withdraw.
     * - MUST revert if all of assets cannot be withdrawn (due to withdrawal limit being reached, slippage, the owner
     *   not having enough shares, etc).
     *
     * Note that some implementations will require pre-requesting to the Vault before a withdrawal may be performed.
     * Those methods should be performed separately.
     */
    function withdraw(uint256 assets, address receiver, address owner) external returns (uint256 shares);

    /**
     * @dev Returns the maximum amount of Vault shares that can be redeemed from the owner balance in the Vault,
     * through a redeem call.
     *
     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.
     * - MUST return balanceOf(owner) if owner is not subject to any withdrawal limit or timelock.
     * - MUST NOT revert.
     */
    function maxRedeem(address owner) external view returns (uint256 maxShares);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their redeemption at the current block,
     * given current on-chain conditions.
     *
     * - MUST return as close to and no more than the exact amount of assets that would be withdrawn in a redeem call
     *   in the same transaction. I.e. redeem should return the same or more assets as previewRedeem if called in the
     *   same transaction.
     * - MUST NOT account for redemption limits like those returned from maxRedeem and should always act as though the
     *   redemption would be accepted, regardless if the user has enough shares, etc.
     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToAssets and previewRedeem SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by redeeming.
     */
    function previewRedeem(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Burns exactly shares from owner and sends assets of underlying tokens to receiver.
     *
     * - MUST emit the Withdraw event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   redeem execution, and are accounted for during redeem.
     * - MUST revert if all of shares cannot be redeemed (due to withdrawal limit being reached, slippage, the owner
     *   not having enough shares, etc).
     *
     * NOTE: some implementations will require pre-requesting to the Vault before a withdrawal may be performed.
     * Those methods should be performed separately.
     */
    function redeem(uint256 shares, address receiver, address owner) external returns (uint256 assets);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/Context.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby disabling any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/Context.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract Ownable is Context {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor() {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view virtual returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby disabling any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (access/Ownable2Step.sol)

pragma solidity ^0.8.0;

import "./Ownable.sol";

/**
 * @dev Contract module which provides access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership} and {acceptOwnership}.
 *
 * This module is used through inheritance. It will make available all functions
 * from parent (Ownable).
 */
abstract contract Ownable2Step is Ownable {
    address private _pendingOwner;

    event OwnershipTransferStarted(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Returns the address of the pending owner.
     */
    function pendingOwner() public view virtual returns (address) {
        return _pendingOwner;
    }

    /**
     * @dev Starts the ownership transfer of the contract to a new account. Replaces the pending transfer if there is one.
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual override onlyOwner {
        _pendingOwner = newOwner;
        emit OwnershipTransferStarted(owner(), newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`) and deletes any pending owner.
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual override {
        delete _pendingOwner;
        super._transferOwnership(newOwner);
    }

    /**
     * @dev The new owner accepts the ownership transfer.
     */
    function acceptOwnership() public virtual {
        address sender = _msgSender();
        require(pendingOwner() == sender, "Ownable2Step: caller is not the new owner");
        _transferOwnership(sender);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (interfaces/IERC20.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/IERC20.sol";

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC4626.sol)

pragma solidity ^0.8.0;

import "../token/ERC20/IERC20.sol";
import "../token/ERC20/extensions/IERC20Metadata.sol";

/**
 * @dev Interface of the ERC4626 "Tokenized Vault Standard", as defined in
 * https://eips.ethereum.org/EIPS/eip-4626[ERC-4626].
 *
 * _Available since v4.7._
 */
interface IERC4626 is IERC20, IERC20Metadata {
    event Deposit(address indexed sender, address indexed owner, uint256 assets, uint256 shares);

    event Withdraw(
        address indexed sender,
        address indexed receiver,
        address indexed owner,
        uint256 assets,
        uint256 shares
    );

    /**
     * @dev Returns the address of the underlying token used for the Vault for accounting, depositing, and withdrawing.
     *
     * - MUST be an ERC-20 token contract.
     * - MUST NOT revert.
     */
    function asset() external view returns (address assetTokenAddress);

    /**
     * @dev Returns the total amount of the underlying asset that is “managed” by Vault.
     *
     * - SHOULD include any compounding that occurs from yield.
     * - MUST be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT revert.
     */
    function totalAssets() external view returns (uint256 totalManagedAssets);

    /**
     * @dev Returns the amount of shares that the Vault would exchange for the amount of assets provided, in an ideal
     * scenario where all the conditions are met.
     *
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertToShares(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Returns the amount of assets that the Vault would exchange for the amount of shares provided, in an ideal
     * scenario where all the conditions are met.
     *
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertToAssets(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Returns the maximum amount of the underlying asset that can be deposited into the Vault for the receiver,
     * through a deposit call.
     *
     * - MUST return a limited value if receiver is subject to some deposit limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of assets that may be deposited.
     * - MUST NOT revert.
     */
    function maxDeposit(address receiver) external view returns (uint256 maxAssets);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their deposit at the current block, given
     * current on-chain conditions.
     *
     * - MUST return as close to and no more than the exact amount of Vault shares that would be minted in a deposit
     *   call in the same transaction. I.e. deposit should return the same or more shares as previewDeposit if called
     *   in the same transaction.
     * - MUST NOT account for deposit limits like those returned from maxDeposit and should always act as though the
     *   deposit would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToShares and previewDeposit SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by depositing.
     */
    function previewDeposit(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Mints shares Vault shares to receiver by depositing exactly amount of underlying tokens.
     *
     * - MUST emit the Deposit event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   deposit execution, and are accounted for during deposit.
     * - MUST revert if all of assets cannot be deposited (due to deposit limit being reached, slippage, the user not
     *   approving enough underlying tokens to the Vault contract, etc).
     *
     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.
     */
    function deposit(uint256 assets, address receiver) external returns (uint256 shares);

    /**
     * @dev Returns the maximum amount of the Vault shares that can be minted for the receiver, through a mint call.
     * - MUST return a limited value if receiver is subject to some mint limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of shares that may be minted.
     * - MUST NOT revert.
     */
    function maxMint(address receiver) external view returns (uint256 maxShares);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their mint at the current block, given
     * current on-chain conditions.
     *
     * - MUST return as close to and no fewer than the exact amount of assets that would be deposited in a mint call
     *   in the same transaction. I.e. mint should return the same or fewer assets as previewMint if called in the
     *   same transaction.
     * - MUST NOT account for mint limits like those returned from maxMint and should always act as though the mint
     *   would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of deposit fees. Integrators should be aware of the existence of deposit fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToAssets and previewMint SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by minting.
     */
    function previewMint(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Mints exactly shares Vault shares to receiver by depositing amount of underlying tokens.
     *
     * - MUST emit the Deposit event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the mint
     *   execution, and are accounted for during mint.
     * - MUST revert if all of shares cannot be minted (due to deposit limit being reached, slippage, the user not
     *   approving enough underlying tokens to the Vault contract, etc).
     *
     * NOTE: most implementations will require pre-approval of the Vault with the Vault’s underlying asset token.
     */
    function mint(uint256 shares, address receiver) external returns (uint256 assets);

    /**
     * @dev Returns the maximum amount of the underlying asset that can be withdrawn from the owner balance in the
     * Vault, through a withdraw call.
     *
     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.
     * - MUST NOT revert.
     */
    function maxWithdraw(address owner) external view returns (uint256 maxAssets);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their withdrawal at the current block,
     * given current on-chain conditions.
     *
     * - MUST return as close to and no fewer than the exact amount of Vault shares that would be burned in a withdraw
     *   call in the same transaction. I.e. withdraw should return the same or fewer shares as previewWithdraw if
     *   called
     *   in the same transaction.
     * - MUST NOT account for withdrawal limits like those returned from maxWithdraw and should always act as though
     *   the withdrawal would be accepted, regardless if the user has enough shares, etc.
     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToShares and previewWithdraw SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by depositing.
     */
    function previewWithdraw(uint256 assets) external view returns (uint256 shares);

    /**
     * @dev Burns shares from owner and sends exactly assets of underlying tokens to receiver.
     *
     * - MUST emit the Withdraw event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   withdraw execution, and are accounted for during withdraw.
     * - MUST revert if all of assets cannot be withdrawn (due to withdrawal limit being reached, slippage, the owner
     *   not having enough shares, etc).
     *
     * Note that some implementations will require pre-requesting to the Vault before a withdrawal may be performed.
     * Those methods should be performed separately.
     */
    function withdraw(uint256 assets, address receiver, address owner) external returns (uint256 shares);

    /**
     * @dev Returns the maximum amount of Vault shares that can be redeemed from the owner balance in the Vault,
     * through a redeem call.
     *
     * - MUST return a limited value if owner is subject to some withdrawal limit or timelock.
     * - MUST return balanceOf(owner) if owner is not subject to any withdrawal limit or timelock.
     * - MUST NOT revert.
     */
    function maxRedeem(address owner) external view returns (uint256 maxShares);

    /**
     * @dev Allows an on-chain or off-chain user to simulate the effects of their redeemption at the current block,
     * given current on-chain conditions.
     *
     * - MUST return as close to and no more than the exact amount of assets that would be withdrawn in a redeem call
     *   in the same transaction. I.e. redeem should return the same or more assets as previewRedeem if called in the
     *   same transaction.
     * - MUST NOT account for redemption limits like those returned from maxRedeem and should always act as though the
     *   redemption would be accepted, regardless if the user has enough shares, etc.
     * - MUST be inclusive of withdrawal fees. Integrators should be aware of the existence of withdrawal fees.
     * - MUST NOT revert.
     *
     * NOTE: any unfavorable discrepancy between convertToAssets and previewRedeem SHOULD be considered slippage in
     * share price or some other type of condition, meaning the depositor will lose assets by redeeming.
     */
    function previewRedeem(uint256 shares) external view returns (uint256 assets);

    /**
     * @dev Burns exactly shares from owner and sends assets of underlying tokens to receiver.
     *
     * - MUST emit the Withdraw event.
     * - MAY support an additional flow in which the underlying tokens are owned by the Vault contract before the
     *   redeem execution, and are accounted for during redeem.
     * - MUST revert if all of shares cannot be redeemed (due to withdrawal limit being reached, slippage, the owner
     *   not having enough shares, etc).
     *
     * NOTE: some implementations will require pre-requesting to the Vault before a withdrawal may be performed.
     * Those methods should be performed separately.
     */
    function redeem(uint256 shares, address receiver, address owner) external returns (uint256 assets);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (security/ReentrancyGuard.sol)

pragma solidity ^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() {
        _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 making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }

    function _nonReentrantBefore() private {
        // On the first call to nonReentrant, _status will be _NOT_ENTERED
        require(_status != _ENTERED, "ReentrancyGuard: reentrant call");

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

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

    /**
     * @dev Returns true if the reentrancy guard is currently set to "entered", which indicates there is a
     * `nonReentrant` function in the call stack.
     */
    function _reentrancyGuardEntered() internal view returns (bool) {
        return _status == _ENTERED;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.0;

import "./IERC20.sol";
import "./extensions/IERC20Metadata.sol";
import "../../utils/Context.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * The default value of {decimals} is 18. To change this, you should override
 * this function so it returns a different value.
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20 is Context, IERC20, IERC20Metadata {
    mapping(address => uint256) private _balances;

    mapping(address => mapping(address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the default value returned by this function, unless
     * it's overridden.
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual override returns (uint8) {
        return 18;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address to, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _transfer(owner, to, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `amount`.
     */
    function transferFrom(address from, address to, uint256 amount) public virtual override returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, amount);
        _transfer(from, to, amount);
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, allowance(owner, spender) + addedValue);
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        address owner = _msgSender();
        uint256 currentAllowance = allowance(owner, spender);
        require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
        unchecked {
            _approve(owner, spender, currentAllowance - subtractedValue);
        }

        return true;
    }

    /**
     * @dev Moves `amount` of tokens from `from` to `to`.
     *
     * This internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     */
    function _transfer(address from, address to, uint256 amount) internal virtual {
        require(from != address(0), "ERC20: transfer from the zero address");
        require(to != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(from, to, amount);

        uint256 fromBalance = _balances[from];
        require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
        unchecked {
            _balances[from] = fromBalance - amount;
            // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by
            // decrementing then incrementing.
            _balances[to] += amount;
        }

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply += amount;
        unchecked {
            // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above.
            _balances[account] += amount;
        }
        emit Transfer(address(0), account, amount);

        _afterTokenTransfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        uint256 accountBalance = _balances[account];
        require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
        unchecked {
            _balances[account] = accountBalance - amount;
            // Overflow not possible: amount <= accountBalance <= totalSupply.
            _totalSupply -= amount;
        }

        emit Transfer(account, address(0), amount);

        _afterTokenTransfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(address owner, address spender, uint256 amount) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
     *
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Might emit an {Approval} event.
     */
    function _spendAllowance(address owner, address spender, uint256 amount) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            require(currentAllowance >= amount, "ERC20: insufficient allowance");
            unchecked {
                _approve(owner, spender, currentAllowance - amount);
            }
        }
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 amount) internal virtual {}

    /**
     * @dev Hook that is called after any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * has been transferred to `to`.
     * - when `from` is zero, `amount` tokens have been minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens have been burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(address from, address to, uint256 amount) internal virtual {}
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

    /**
     * @dev Emitted when the allowance of a `spender` for an `owner` is set by
     * a call to {approve}. `value` is the new allowance.
     */
    event Approval(address indexed owner, address indexed spender, uint256 value);

    /**
     * @dev Returns the amount of tokens in existence.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns the amount of tokens owned by `account`.
     */
    function balanceOf(address account) external view returns (uint256);

    /**
     * @dev Moves `amount` tokens from the caller's account to `to`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address to, uint256 amount) external returns (bool);

    /**
     * @dev Returns the remaining number of tokens that `spender` will be
     * allowed to spend on behalf of `owner` through {transferFrom}. This is
     * zero by default.
     *
     * This value changes when {approve} or {transferFrom} are called.
     */
    function allowance(address owner, address spender) external view returns (uint256);

    /**
     * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * IMPORTANT: Beware that changing an allowance with this method brings the risk
     * that someone may use both the old and the new allowance by unfortunate
     * transaction ordering. One possible solution to mitigate this race
     * condition is to first reduce the spender's allowance to 0 and set the
     * desired value afterwards:
     * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
     *
     * Emits an {Approval} event.
     */
    function approve(address spender, uint256 amount) external returns (bool);

    /**
     * @dev Moves `amount` tokens from `from` to `to` using the
     * allowance mechanism. `amount` is then deducted from the caller's
     * allowance.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 amount) external returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20Metadata is IERC20 {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

    /**
     * @dev Returns the symbol of the token.
     */
    function symbol() external view returns (string memory);

    /**
     * @dev Returns the decimals places of the token.
     */
    function decimals() external view returns (uint8);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20Permit {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);

    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";
import "../extensions/IERC20Permit.sol";
import "../../../utils/Address.sol";

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure (when the token
 * contract returns false). Tokens that return no value (and instead revert or
 * throw on failure) are also supported, non-reverting calls are assumed to be
 * successful.
 * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using Address for address;

    /**
     * @dev Transfer `value` amount of `token` from the calling contract to `to`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    /**
     * @dev Transfer `value` amount of `token` from `from` to `to`, spending the approval given by `from` to the
     * calling contract. If `token` returns no value, non-reverting calls are assumed to be successful.
     */
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(IERC20 token, address spender, uint256 value) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        require(
            (value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    /**
     * @dev Increase the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeIncreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        uint256 oldAllowance = token.allowance(address(this), spender);
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance + value));
    }

    /**
     * @dev Decrease the calling contract's allowance toward `spender` by `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful.
     */
    function safeDecreaseAllowance(IERC20 token, address spender, uint256 value) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Compatible with tokens that require the approval to be set to
     * 0 before setting it to a non-zero value.
     */
    function forceApprove(IERC20 token, address spender, uint256 value) internal {
        bytes memory approvalCall = abi.encodeWithSelector(token.approve.selector, spender, value);

        if (!_callOptionalReturnBool(token, approvalCall)) {
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, 0));
            _callOptionalReturn(token, approvalCall);
        }
    }

    /**
     * @dev Use a ERC-2612 signature to set the `owner` approval toward `spender` on `token`.
     * Revert on invalid signature.
     */
    function safePermit(
        IERC20Permit token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        require(returndata.length == 0 || abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     *
     * This is a variant of {_callOptionalReturn} that silents catches all reverts and returns a bool instead.
     */
    function _callOptionalReturnBool(IERC20 token, bytes memory data) private returns (bool) {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We cannot use {Address-functionCall} here since this should return false
        // and not revert is the subcall reverts.

        (bool success, bytes memory returndata) = address(token).call(data);
        return
            success && (returndata.length == 0 || abi.decode(returndata, (bool))) && Address.isContract(address(token));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     *
     * Furthermore, `isContract` will also return true if the target contract within
     * the same transaction is already scheduled for destruction by `SELFDESTRUCT`,
     * which only has an effect at the end of a transaction.
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.8.0/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(address target, bytes memory data, uint256 value) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResultFromTarget(target, success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling
     * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract.
     *
     * _Available since v4.8._
     */
    function verifyCallResultFromTarget(
        address target,
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        if (success) {
            if (returndata.length == 0) {
                // only check isContract if the call was successful and the return data is empty
                // otherwise we already know that it was a contract
                require(isContract(target), "Address: call to non-contract");
            }
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    /**
     * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason or using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            _revert(returndata, errorMessage);
        }
    }

    function _revert(bytes memory returndata, string memory errorMessage) private pure {
        // Look for revert reason and bubble it up if present
        if (returndata.length > 0) {
            // The easiest way to bubble the revert reason is using memory via assembly
            /// @solidity memory-safe-assembly
            assembly {
                let returndata_size := mload(returndata)
                revert(add(32, returndata), returndata_size)
            }
        } else {
            revert(errorMessage);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;

/**
 * @dev Provides information about the current execution context, including the
 * sender of the transaction and its data. While these are generally available
 * via msg.sender and msg.data, they should not be accessed in such a direct
 * manner, since when dealing with meta-transactions the account sending and
 * paying for execution may not be the actual sender (as far as an application
 * is concerned).
 *
 * This contract is only required for intermediate, library-like contracts.
 */
abstract contract Context {
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

    function _msgData() internal view virtual returns (bytes calldata) {
        return msg.data;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165 {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SafeCast.sol)
// This file was procedurally generated from scripts/generate/templates/SafeCast.js.

pragma solidity ^0.8.0;

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such 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.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Returns the downcasted uint248 from uint256, reverting on
     * overflow (when the input is greater than largest uint248).
     *
     * Counterpart to Solidity's `uint248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toUint248(uint256 value) internal pure returns (uint248) {
        require(value <= type(uint248).max, "SafeCast: value doesn't fit in 248 bits");
        return uint248(value);
    }

    /**
     * @dev Returns the downcasted uint240 from uint256, reverting on
     * overflow (when the input is greater than largest uint240).
     *
     * Counterpart to Solidity's `uint240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toUint240(uint256 value) internal pure returns (uint240) {
        require(value <= type(uint240).max, "SafeCast: value doesn't fit in 240 bits");
        return uint240(value);
    }

    /**
     * @dev Returns the downcasted uint232 from uint256, reverting on
     * overflow (when the input is greater than largest uint232).
     *
     * Counterpart to Solidity's `uint232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toUint232(uint256 value) internal pure returns (uint232) {
        require(value <= type(uint232).max, "SafeCast: value doesn't fit in 232 bits");
        return uint232(value);
    }

    /**
     * @dev Returns the downcasted uint224 from uint256, reverting on
     * overflow (when the input is greater than largest uint224).
     *
     * Counterpart to Solidity's `uint224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.2._
     */
    function toUint224(uint256 value) internal pure returns (uint224) {
        require(value <= type(uint224).max, "SafeCast: value doesn't fit in 224 bits");
        return uint224(value);
    }

    /**
     * @dev Returns the downcasted uint216 from uint256, reverting on
     * overflow (when the input is greater than largest uint216).
     *
     * Counterpart to Solidity's `uint216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toUint216(uint256 value) internal pure returns (uint216) {
        require(value <= type(uint216).max, "SafeCast: value doesn't fit in 216 bits");
        return uint216(value);
    }

    /**
     * @dev Returns the downcasted uint208 from uint256, reverting on
     * overflow (when the input is greater than largest uint208).
     *
     * Counterpart to Solidity's `uint208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toUint208(uint256 value) internal pure returns (uint208) {
        require(value <= type(uint208).max, "SafeCast: value doesn't fit in 208 bits");
        return uint208(value);
    }

    /**
     * @dev Returns the downcasted uint200 from uint256, reverting on
     * overflow (when the input is greater than largest uint200).
     *
     * Counterpart to Solidity's `uint200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toUint200(uint256 value) internal pure returns (uint200) {
        require(value <= type(uint200).max, "SafeCast: value doesn't fit in 200 bits");
        return uint200(value);
    }

    /**
     * @dev Returns the downcasted uint192 from uint256, reverting on
     * overflow (when the input is greater than largest uint192).
     *
     * Counterpart to Solidity's `uint192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toUint192(uint256 value) internal pure returns (uint192) {
        require(value <= type(uint192).max, "SafeCast: value doesn't fit in 192 bits");
        return uint192(value);
    }

    /**
     * @dev Returns the downcasted uint184 from uint256, reverting on
     * overflow (when the input is greater than largest uint184).
     *
     * Counterpart to Solidity's `uint184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toUint184(uint256 value) internal pure returns (uint184) {
        require(value <= type(uint184).max, "SafeCast: value doesn't fit in 184 bits");
        return uint184(value);
    }

    /**
     * @dev Returns the downcasted uint176 from uint256, reverting on
     * overflow (when the input is greater than largest uint176).
     *
     * Counterpart to Solidity's `uint176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toUint176(uint256 value) internal pure returns (uint176) {
        require(value <= type(uint176).max, "SafeCast: value doesn't fit in 176 bits");
        return uint176(value);
    }

    /**
     * @dev Returns the downcasted uint168 from uint256, reverting on
     * overflow (when the input is greater than largest uint168).
     *
     * Counterpart to Solidity's `uint168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toUint168(uint256 value) internal pure returns (uint168) {
        require(value <= type(uint168).max, "SafeCast: value doesn't fit in 168 bits");
        return uint168(value);
    }

    /**
     * @dev Returns the downcasted uint160 from uint256, reverting on
     * overflow (when the input is greater than largest uint160).
     *
     * Counterpart to Solidity's `uint160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toUint160(uint256 value) internal pure returns (uint160) {
        require(value <= type(uint160).max, "SafeCast: value doesn't fit in 160 bits");
        return uint160(value);
    }

    /**
     * @dev Returns the downcasted uint152 from uint256, reverting on
     * overflow (when the input is greater than largest uint152).
     *
     * Counterpart to Solidity's `uint152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toUint152(uint256 value) internal pure returns (uint152) {
        require(value <= type(uint152).max, "SafeCast: value doesn't fit in 152 bits");
        return uint152(value);
    }

    /**
     * @dev Returns the downcasted uint144 from uint256, reverting on
     * overflow (when the input is greater than largest uint144).
     *
     * Counterpart to Solidity's `uint144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toUint144(uint256 value) internal pure returns (uint144) {
        require(value <= type(uint144).max, "SafeCast: value doesn't fit in 144 bits");
        return uint144(value);
    }

    /**
     * @dev Returns the downcasted uint136 from uint256, reverting on
     * overflow (when the input is greater than largest uint136).
     *
     * Counterpart to Solidity's `uint136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toUint136(uint256 value) internal pure returns (uint136) {
        require(value <= type(uint136).max, "SafeCast: value doesn't fit in 136 bits");
        return uint136(value);
    }

    /**
     * @dev Returns the downcasted uint128 from uint256, reverting on
     * overflow (when the input is greater than largest uint128).
     *
     * Counterpart to Solidity's `uint128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v2.5._
     */
    function toUint128(uint256 value) internal pure returns (uint128) {
        require(value <= type(uint128).max, "SafeCast: value doesn't fit in 128 bits");
        return uint128(value);
    }

    /**
     * @dev Returns the downcasted uint120 from uint256, reverting on
     * overflow (when the input is greater than largest uint120).
     *
     * Counterpart to Solidity's `uint120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toUint120(uint256 value) internal pure returns (uint120) {
        require(value <= type(uint120).max, "SafeCast: value doesn't fit in 120 bits");
        return uint120(value);
    }

    /**
     * @dev Returns the downcasted uint112 from uint256, reverting on
     * overflow (when the input is greater than largest uint112).
     *
     * Counterpart to Solidity's `uint112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toUint112(uint256 value) internal pure returns (uint112) {
        require(value <= type(uint112).max, "SafeCast: value doesn't fit in 112 bits");
        return uint112(value);
    }

    /**
     * @dev Returns the downcasted uint104 from uint256, reverting on
     * overflow (when the input is greater than largest uint104).
     *
     * Counterpart to Solidity's `uint104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toUint104(uint256 value) internal pure returns (uint104) {
        require(value <= type(uint104).max, "SafeCast: value doesn't fit in 104 bits");
        return uint104(value);
    }

    /**
     * @dev Returns the downcasted uint96 from uint256, reverting on
     * overflow (when the input is greater than largest uint96).
     *
     * Counterpart to Solidity's `uint96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.2._
     */
    function toUint96(uint256 value) internal pure returns (uint96) {
        require(value <= type(uint96).max, "SafeCast: value doesn't fit in 96 bits");
        return uint96(value);
    }

    /**
     * @dev Returns the downcasted uint88 from uint256, reverting on
     * overflow (when the input is greater than largest uint88).
     *
     * Counterpart to Solidity's `uint88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toUint88(uint256 value) internal pure returns (uint88) {
        require(value <= type(uint88).max, "SafeCast: value doesn't fit in 88 bits");
        return uint88(value);
    }

    /**
     * @dev Returns the downcasted uint80 from uint256, reverting on
     * overflow (when the input is greater than largest uint80).
     *
     * Counterpart to Solidity's `uint80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toUint80(uint256 value) internal pure returns (uint80) {
        require(value <= type(uint80).max, "SafeCast: value doesn't fit in 80 bits");
        return uint80(value);
    }

    /**
     * @dev Returns the downcasted uint72 from uint256, reverting on
     * overflow (when the input is greater than largest uint72).
     *
     * Counterpart to Solidity's `uint72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toUint72(uint256 value) internal pure returns (uint72) {
        require(value <= type(uint72).max, "SafeCast: value doesn't fit in 72 bits");
        return uint72(value);
    }

    /**
     * @dev Returns the downcasted uint64 from uint256, reverting on
     * overflow (when the input is greater than largest uint64).
     *
     * Counterpart to Solidity's `uint64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v2.5._
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        require(value <= type(uint64).max, "SafeCast: value doesn't fit in 64 bits");
        return uint64(value);
    }

    /**
     * @dev Returns the downcasted uint56 from uint256, reverting on
     * overflow (when the input is greater than largest uint56).
     *
     * Counterpart to Solidity's `uint56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toUint56(uint256 value) internal pure returns (uint56) {
        require(value <= type(uint56).max, "SafeCast: value doesn't fit in 56 bits");
        return uint56(value);
    }

    /**
     * @dev Returns the downcasted uint48 from uint256, reverting on
     * overflow (when the input is greater than largest uint48).
     *
     * Counterpart to Solidity's `uint48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        require(value <= type(uint48).max, "SafeCast: value doesn't fit in 48 bits");
        return uint48(value);
    }

    /**
     * @dev Returns the downcasted uint40 from uint256, reverting on
     * overflow (when the input is greater than largest uint40).
     *
     * Counterpart to Solidity's `uint40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toUint40(uint256 value) internal pure returns (uint40) {
        require(value <= type(uint40).max, "SafeCast: value doesn't fit in 40 bits");
        return uint40(value);
    }

    /**
     * @dev Returns the downcasted uint32 from uint256, reverting on
     * overflow (when the input is greater than largest uint32).
     *
     * Counterpart to Solidity's `uint32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v2.5._
     */
    function toUint32(uint256 value) internal pure returns (uint32) {
        require(value <= type(uint32).max, "SafeCast: value doesn't fit in 32 bits");
        return uint32(value);
    }

    /**
     * @dev Returns the downcasted uint24 from uint256, reverting on
     * overflow (when the input is greater than largest uint24).
     *
     * Counterpart to Solidity's `uint24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toUint24(uint256 value) internal pure returns (uint24) {
        require(value <= type(uint24).max, "SafeCast: value doesn't fit in 24 bits");
        return uint24(value);
    }

    /**
     * @dev Returns the downcasted uint16 from uint256, reverting on
     * overflow (when the input is greater than largest uint16).
     *
     * Counterpart to Solidity's `uint16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v2.5._
     */
    function toUint16(uint256 value) internal pure returns (uint16) {
        require(value <= type(uint16).max, "SafeCast: value doesn't fit in 16 bits");
        return uint16(value);
    }

    /**
     * @dev Returns the downcasted uint8 from uint256, reverting on
     * overflow (when the input is greater than largest uint8).
     *
     * Counterpart to Solidity's `uint8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v2.5._
     */
    function toUint8(uint256 value) internal pure returns (uint8) {
        require(value <= type(uint8).max, "SafeCast: value doesn't fit in 8 bits");
        return uint8(value);
    }

    /**
     * @dev Converts a signed int256 into an unsigned uint256.
     *
     * Requirements:
     *
     * - input must be greater than or equal to 0.
     *
     * _Available since v3.0._
     */
    function toUint256(int256 value) internal pure returns (uint256) {
        require(value >= 0, "SafeCast: value must be positive");
        return uint256(value);
    }

    /**
     * @dev Returns the downcasted int248 from int256, reverting on
     * overflow (when the input is less than smallest int248 or
     * greater than largest int248).
     *
     * Counterpart to Solidity's `int248` operator.
     *
     * Requirements:
     *
     * - input must fit into 248 bits
     *
     * _Available since v4.7._
     */
    function toInt248(int256 value) internal pure returns (int248 downcasted) {
        downcasted = int248(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 248 bits");
    }

    /**
     * @dev Returns the downcasted int240 from int256, reverting on
     * overflow (when the input is less than smallest int240 or
     * greater than largest int240).
     *
     * Counterpart to Solidity's `int240` operator.
     *
     * Requirements:
     *
     * - input must fit into 240 bits
     *
     * _Available since v4.7._
     */
    function toInt240(int256 value) internal pure returns (int240 downcasted) {
        downcasted = int240(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 240 bits");
    }

    /**
     * @dev Returns the downcasted int232 from int256, reverting on
     * overflow (when the input is less than smallest int232 or
     * greater than largest int232).
     *
     * Counterpart to Solidity's `int232` operator.
     *
     * Requirements:
     *
     * - input must fit into 232 bits
     *
     * _Available since v4.7._
     */
    function toInt232(int256 value) internal pure returns (int232 downcasted) {
        downcasted = int232(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 232 bits");
    }

    /**
     * @dev Returns the downcasted int224 from int256, reverting on
     * overflow (when the input is less than smallest int224 or
     * greater than largest int224).
     *
     * Counterpart to Solidity's `int224` operator.
     *
     * Requirements:
     *
     * - input must fit into 224 bits
     *
     * _Available since v4.7._
     */
    function toInt224(int256 value) internal pure returns (int224 downcasted) {
        downcasted = int224(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 224 bits");
    }

    /**
     * @dev Returns the downcasted int216 from int256, reverting on
     * overflow (when the input is less than smallest int216 or
     * greater than largest int216).
     *
     * Counterpart to Solidity's `int216` operator.
     *
     * Requirements:
     *
     * - input must fit into 216 bits
     *
     * _Available since v4.7._
     */
    function toInt216(int256 value) internal pure returns (int216 downcasted) {
        downcasted = int216(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 216 bits");
    }

    /**
     * @dev Returns the downcasted int208 from int256, reverting on
     * overflow (when the input is less than smallest int208 or
     * greater than largest int208).
     *
     * Counterpart to Solidity's `int208` operator.
     *
     * Requirements:
     *
     * - input must fit into 208 bits
     *
     * _Available since v4.7._
     */
    function toInt208(int256 value) internal pure returns (int208 downcasted) {
        downcasted = int208(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 208 bits");
    }

    /**
     * @dev Returns the downcasted int200 from int256, reverting on
     * overflow (when the input is less than smallest int200 or
     * greater than largest int200).
     *
     * Counterpart to Solidity's `int200` operator.
     *
     * Requirements:
     *
     * - input must fit into 200 bits
     *
     * _Available since v4.7._
     */
    function toInt200(int256 value) internal pure returns (int200 downcasted) {
        downcasted = int200(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 200 bits");
    }

    /**
     * @dev Returns the downcasted int192 from int256, reverting on
     * overflow (when the input is less than smallest int192 or
     * greater than largest int192).
     *
     * Counterpart to Solidity's `int192` operator.
     *
     * Requirements:
     *
     * - input must fit into 192 bits
     *
     * _Available since v4.7._
     */
    function toInt192(int256 value) internal pure returns (int192 downcasted) {
        downcasted = int192(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 192 bits");
    }

    /**
     * @dev Returns the downcasted int184 from int256, reverting on
     * overflow (when the input is less than smallest int184 or
     * greater than largest int184).
     *
     * Counterpart to Solidity's `int184` operator.
     *
     * Requirements:
     *
     * - input must fit into 184 bits
     *
     * _Available since v4.7._
     */
    function toInt184(int256 value) internal pure returns (int184 downcasted) {
        downcasted = int184(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 184 bits");
    }

    /**
     * @dev Returns the downcasted int176 from int256, reverting on
     * overflow (when the input is less than smallest int176 or
     * greater than largest int176).
     *
     * Counterpart to Solidity's `int176` operator.
     *
     * Requirements:
     *
     * - input must fit into 176 bits
     *
     * _Available since v4.7._
     */
    function toInt176(int256 value) internal pure returns (int176 downcasted) {
        downcasted = int176(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 176 bits");
    }

    /**
     * @dev Returns the downcasted int168 from int256, reverting on
     * overflow (when the input is less than smallest int168 or
     * greater than largest int168).
     *
     * Counterpart to Solidity's `int168` operator.
     *
     * Requirements:
     *
     * - input must fit into 168 bits
     *
     * _Available since v4.7._
     */
    function toInt168(int256 value) internal pure returns (int168 downcasted) {
        downcasted = int168(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 168 bits");
    }

    /**
     * @dev Returns the downcasted int160 from int256, reverting on
     * overflow (when the input is less than smallest int160 or
     * greater than largest int160).
     *
     * Counterpart to Solidity's `int160` operator.
     *
     * Requirements:
     *
     * - input must fit into 160 bits
     *
     * _Available since v4.7._
     */
    function toInt160(int256 value) internal pure returns (int160 downcasted) {
        downcasted = int160(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 160 bits");
    }

    /**
     * @dev Returns the downcasted int152 from int256, reverting on
     * overflow (when the input is less than smallest int152 or
     * greater than largest int152).
     *
     * Counterpart to Solidity's `int152` operator.
     *
     * Requirements:
     *
     * - input must fit into 152 bits
     *
     * _Available since v4.7._
     */
    function toInt152(int256 value) internal pure returns (int152 downcasted) {
        downcasted = int152(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 152 bits");
    }

    /**
     * @dev Returns the downcasted int144 from int256, reverting on
     * overflow (when the input is less than smallest int144 or
     * greater than largest int144).
     *
     * Counterpart to Solidity's `int144` operator.
     *
     * Requirements:
     *
     * - input must fit into 144 bits
     *
     * _Available since v4.7._
     */
    function toInt144(int256 value) internal pure returns (int144 downcasted) {
        downcasted = int144(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 144 bits");
    }

    /**
     * @dev Returns the downcasted int136 from int256, reverting on
     * overflow (when the input is less than smallest int136 or
     * greater than largest int136).
     *
     * Counterpart to Solidity's `int136` operator.
     *
     * Requirements:
     *
     * - input must fit into 136 bits
     *
     * _Available since v4.7._
     */
    function toInt136(int256 value) internal pure returns (int136 downcasted) {
        downcasted = int136(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 136 bits");
    }

    /**
     * @dev Returns the downcasted int128 from int256, reverting on
     * overflow (when the input is less than smallest int128 or
     * greater than largest int128).
     *
     * Counterpart to Solidity's `int128` operator.
     *
     * Requirements:
     *
     * - input must fit into 128 bits
     *
     * _Available since v3.1._
     */
    function toInt128(int256 value) internal pure returns (int128 downcasted) {
        downcasted = int128(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 128 bits");
    }

    /**
     * @dev Returns the downcasted int120 from int256, reverting on
     * overflow (when the input is less than smallest int120 or
     * greater than largest int120).
     *
     * Counterpart to Solidity's `int120` operator.
     *
     * Requirements:
     *
     * - input must fit into 120 bits
     *
     * _Available since v4.7._
     */
    function toInt120(int256 value) internal pure returns (int120 downcasted) {
        downcasted = int120(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 120 bits");
    }

    /**
     * @dev Returns the downcasted int112 from int256, reverting on
     * overflow (when the input is less than smallest int112 or
     * greater than largest int112).
     *
     * Counterpart to Solidity's `int112` operator.
     *
     * Requirements:
     *
     * - input must fit into 112 bits
     *
     * _Available since v4.7._
     */
    function toInt112(int256 value) internal pure returns (int112 downcasted) {
        downcasted = int112(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 112 bits");
    }

    /**
     * @dev Returns the downcasted int104 from int256, reverting on
     * overflow (when the input is less than smallest int104 or
     * greater than largest int104).
     *
     * Counterpart to Solidity's `int104` operator.
     *
     * Requirements:
     *
     * - input must fit into 104 bits
     *
     * _Available since v4.7._
     */
    function toInt104(int256 value) internal pure returns (int104 downcasted) {
        downcasted = int104(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 104 bits");
    }

    /**
     * @dev Returns the downcasted int96 from int256, reverting on
     * overflow (when the input is less than smallest int96 or
     * greater than largest int96).
     *
     * Counterpart to Solidity's `int96` operator.
     *
     * Requirements:
     *
     * - input must fit into 96 bits
     *
     * _Available since v4.7._
     */
    function toInt96(int256 value) internal pure returns (int96 downcasted) {
        downcasted = int96(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 96 bits");
    }

    /**
     * @dev Returns the downcasted int88 from int256, reverting on
     * overflow (when the input is less than smallest int88 or
     * greater than largest int88).
     *
     * Counterpart to Solidity's `int88` operator.
     *
     * Requirements:
     *
     * - input must fit into 88 bits
     *
     * _Available since v4.7._
     */
    function toInt88(int256 value) internal pure returns (int88 downcasted) {
        downcasted = int88(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 88 bits");
    }

    /**
     * @dev Returns the downcasted int80 from int256, reverting on
     * overflow (when the input is less than smallest int80 or
     * greater than largest int80).
     *
     * Counterpart to Solidity's `int80` operator.
     *
     * Requirements:
     *
     * - input must fit into 80 bits
     *
     * _Available since v4.7._
     */
    function toInt80(int256 value) internal pure returns (int80 downcasted) {
        downcasted = int80(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 80 bits");
    }

    /**
     * @dev Returns the downcasted int72 from int256, reverting on
     * overflow (when the input is less than smallest int72 or
     * greater than largest int72).
     *
     * Counterpart to Solidity's `int72` operator.
     *
     * Requirements:
     *
     * - input must fit into 72 bits
     *
     * _Available since v4.7._
     */
    function toInt72(int256 value) internal pure returns (int72 downcasted) {
        downcasted = int72(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 72 bits");
    }

    /**
     * @dev Returns the downcasted int64 from int256, reverting on
     * overflow (when the input is less than smallest int64 or
     * greater than largest int64).
     *
     * Counterpart to Solidity's `int64` operator.
     *
     * Requirements:
     *
     * - input must fit into 64 bits
     *
     * _Available since v3.1._
     */
    function toInt64(int256 value) internal pure returns (int64 downcasted) {
        downcasted = int64(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 64 bits");
    }

    /**
     * @dev Returns the downcasted int56 from int256, reverting on
     * overflow (when the input is less than smallest int56 or
     * greater than largest int56).
     *
     * Counterpart to Solidity's `int56` operator.
     *
     * Requirements:
     *
     * - input must fit into 56 bits
     *
     * _Available since v4.7._
     */
    function toInt56(int256 value) internal pure returns (int56 downcasted) {
        downcasted = int56(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 56 bits");
    }

    /**
     * @dev Returns the downcasted int48 from int256, reverting on
     * overflow (when the input is less than smallest int48 or
     * greater than largest int48).
     *
     * Counterpart to Solidity's `int48` operator.
     *
     * Requirements:
     *
     * - input must fit into 48 bits
     *
     * _Available since v4.7._
     */
    function toInt48(int256 value) internal pure returns (int48 downcasted) {
        downcasted = int48(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 48 bits");
    }

    /**
     * @dev Returns the downcasted int40 from int256, reverting on
     * overflow (when the input is less than smallest int40 or
     * greater than largest int40).
     *
     * Counterpart to Solidity's `int40` operator.
     *
     * Requirements:
     *
     * - input must fit into 40 bits
     *
     * _Available since v4.7._
     */
    function toInt40(int256 value) internal pure returns (int40 downcasted) {
        downcasted = int40(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 40 bits");
    }

    /**
     * @dev Returns the downcasted int32 from int256, reverting on
     * overflow (when the input is less than smallest int32 or
     * greater than largest int32).
     *
     * Counterpart to Solidity's `int32` operator.
     *
     * Requirements:
     *
     * - input must fit into 32 bits
     *
     * _Available since v3.1._
     */
    function toInt32(int256 value) internal pure returns (int32 downcasted) {
        downcasted = int32(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 32 bits");
    }

    /**
     * @dev Returns the downcasted int24 from int256, reverting on
     * overflow (when the input is less than smallest int24 or
     * greater than largest int24).
     *
     * Counterpart to Solidity's `int24` operator.
     *
     * Requirements:
     *
     * - input must fit into 24 bits
     *
     * _Available since v4.7._
     */
    function toInt24(int256 value) internal pure returns (int24 downcasted) {
        downcasted = int24(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 24 bits");
    }

    /**
     * @dev Returns the downcasted int16 from int256, reverting on
     * overflow (when the input is less than smallest int16 or
     * greater than largest int16).
     *
     * Counterpart to Solidity's `int16` operator.
     *
     * Requirements:
     *
     * - input must fit into 16 bits
     *
     * _Available since v3.1._
     */
    function toInt16(int256 value) internal pure returns (int16 downcasted) {
        downcasted = int16(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 16 bits");
    }

    /**
     * @dev Returns the downcasted int8 from int256, reverting on
     * overflow (when the input is less than smallest int8 or
     * greater than largest int8).
     *
     * Counterpart to Solidity's `int8` operator.
     *
     * Requirements:
     *
     * - input must fit into 8 bits
     *
     * _Available since v3.1._
     */
    function toInt8(int256 value) internal pure returns (int8 downcasted) {
        downcasted = int8(value);
        require(downcasted == value, "SafeCast: value doesn't fit in 8 bits");
    }

    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     *
     * _Available since v3.0._
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        // Note: Unsafe cast below is okay because `type(int256).max` is guaranteed to be positive
        require(value <= uint256(type(int256).max), "SafeCast: value doesn't fit in an int256");
        return int256(value);
    }
}