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// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.19;

import {IArrakisLPModule} from "../interfaces/IArrakisLPModule.sol";
import {IArrakisLPModulePrivate} from
    "../interfaces/IArrakisLPModulePrivate.sol";
import {IArrakisMetaVault} from "../interfaces/IArrakisMetaVault.sol";
import {IAerodromeStandardModulePrivate} from
    "../interfaces/IAerodromeStandardModulePrivate.sol";
import {IArrakisLPModuleID} from
    "../interfaces/IArrakisLPModuleID.sol";
import {IUniswapV3Factory} from "../interfaces/IUniswapV3Factory.sol";
import {INonfungiblePositionManager} from
    "../interfaces/INonfungiblePositionManager.sol";
import {IVoter} from "../interfaces/IVoter.sol";
import {ICLGauge} from "../interfaces/ICLGauge.sol";
import {IUniswapV3Pool} from "../interfaces/IUniswapV3Pool.sol";
import {IOracleWrapper} from "../interfaces/IOracleWrapper.sol";
import {IOwnable} from "../interfaces/IOwnable.sol";
import {IGuardian} from "../interfaces/IGuardian.sol";
import {
    TEN_PERCENT,
    NATIVE_COIN,
    BASE,
    PIPS
} from "../constants/CArrakis.sol";
import {
    RebalanceParams,
    ModifyPosition
} from "../structs/SUniswapV3.sol";

import {FullMath} from "@v3-lib-0.8/contracts/FullMath.sol";
import {LiquidityAmounts} from
    "@v3-lib-0.8/contracts/LiquidityAmounts.sol";
import {TickMath} from "@v3-lib-0.8/contracts/TickMath.sol";

import {EnumerableSet} from
    "@openzeppelin/contracts/utils/structs/EnumerableSet.sol";
import {PausableUpgradeable} from
    "@openzeppelin/contracts-upgradeable/security/PausableUpgradeable.sol";
import {ReentrancyGuardUpgradeable} from
    "@openzeppelin/contracts-upgradeable/security/ReentrancyGuardUpgradeable.sol";
import {SafeERC20} from
    "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import {SafeCast} from
    "@openzeppelin/contracts/utils/math/SafeCast.sol";
import {Address} from "@openzeppelin/contracts/utils/Address.sol";
import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";
import {IERC721Receiver} from
    "@openzeppelin/contracts/token/ERC721/IERC721Receiver.sol";
import {IERC20Metadata} from
    "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";

contract AerodromeStandardModulePrivate is
    IArrakisLPModule,
    IArrakisLPModulePrivate,
    IAerodromeStandardModulePrivate,
    IArrakisLPModuleID,
    IERC721Receiver,
    PausableUpgradeable,
    ReentrancyGuardUpgradeable
{
    using SafeERC20 for IERC20Metadata;
    using EnumerableSet for EnumerableSet.UintSet;
    using Address for address;

    // #region constant internal variables.

    /// @dev id = keccak256(abi.encode("AerodromeStandardModulePrivate"))
    /// @inheritdoc IArrakisLPModuleID
    bytes32 public constant id =
        0x491defc0794897991a8e5e9fa49dcbed24fe84ee079750b1db3f4df77fb17cb5;

    /// @inheritdoc IAerodromeStandardModulePrivate
    address public constant AERO =
        0x940181a94A35A4569E4529A3CDfB74e38FD98631;

    // #endregion constant internal variables.

    // #region immutable internal variables.

    address internal immutable _guardian;

    // #endregion immutable internal variables.

    // #region immutable state variables.

    /// @inheritdoc IAerodromeStandardModulePrivate
    INonfungiblePositionManager public immutable nftPositionManager;
    /// @inheritdoc IAerodromeStandardModulePrivate
    IUniswapV3Factory public immutable factory;
    /// @inheritdoc IAerodromeStandardModulePrivate
    IVoter public immutable voter;

    // #endregion immutable state variables.

    /// @inheritdoc IArrakisLPModule
    IArrakisMetaVault public metaVault;
    /// @inheritdoc IArrakisLPModule
    IERC20Metadata public token0;
    /// @inheritdoc IArrakisLPModule
    IERC20Metadata public token1;
    /// @inheritdoc IAerodromeStandardModulePrivate
    IOracleWrapper public oracle;
    /// @inheritdoc IArrakisLPModule
    uint256 public managerFeePIPS;
    /// @inheritdoc IAerodromeStandardModulePrivate
    uint24 public maxSlippage;
    /// @inheritdoc IAerodromeStandardModulePrivate
    address public aeroReceiver;
    /// @inheritdoc IAerodromeStandardModulePrivate
    address public pool;
    /// @inheritdoc IAerodromeStandardModulePrivate
    address public gauge;

    // #region internal state variables.

    EnumerableSet.UintSet internal _tokenIds;
    uint256 internal _aeroManagerBalance;

    // #endregion internal state variables.

    // #region modifiers.

    modifier onlyManager() {
        address manager = metaVault.manager();
        if (manager != msg.sender) {
            revert OnlyManager(msg.sender, manager);
        }
        _;
    }

    modifier onlyMetaVault() {
        address metaVaultAddr = address(metaVault);
        if (metaVaultAddr != msg.sender) {
            revert OnlyMetaVault(msg.sender, metaVaultAddr);
        }
        _;
    }

    modifier onlyGuardian() {
        address pauser = IGuardian(_guardian).pauser();
        if (pauser != msg.sender) revert OnlyGuardian();
        _;
    }

    modifier onlyMetaVaultOwner() {
        if (msg.sender != IOwnable(address(metaVault)).owner()) {
            revert OnlyMetaVaultOwner();
        }
        _;
    }

    // #endregion modifiers.

    constructor(
        address nftPositionManager_,
        address factory_,
        address voter_,
        address guardian_
    ) {
        if (
            nftPositionManager_ == address(0)
                || factory_ == address(0) || voter_ == address(0)
                || guardian_ == address(0)
        ) {
            revert AddressZero();
        }
        nftPositionManager =
            INonfungiblePositionManager(nftPositionManager_);
        factory = IUniswapV3Factory(factory_);
        voter = IVoter(voter_);
        _guardian = guardian_;

        _disableInitializers();
    }

    // #region ERC721 receiver.

    /// @inheritdoc IERC721Receiver
    function onERC721Received(
        address,
        address,
        uint256,
        bytes calldata
    ) external returns (bytes4) {
        return IERC721Receiver.onERC721Received.selector;
    }

    // #endregion ERC721 receiver.

    // #region guardian functions.

    /// @inheritdoc IArrakisLPModule
    function pause() external whenNotPaused onlyGuardian {
        _pause();
    }

    /// @inheritdoc IArrakisLPModule
    function unpause() external whenPaused onlyGuardian {
        _unpause();
    }

    // #endregion guardian functions.

    // #region initialize functions.

    /// @inheritdoc IAerodromeStandardModulePrivate
    function initialize(
        IOracleWrapper oracle_,
        uint24 maxSlippage_,
        address aeroReceiver_,
        int24 tickSpacing_,
        address metaVault_
    ) external initializer {
        // #region checks.

        if (
            metaVault_ == address(0) || address(oracle_) == address(0)
                || aeroReceiver_ == address(0)
        ) revert AddressZero();
        if (maxSlippage_ > TEN_PERCENT) {
            revert MaxSlippageGtTenPercent();
        }

        // #endregion checks.

        metaVault = IArrakisMetaVault(metaVault_);
        oracle = oracle_;
        maxSlippage = maxSlippage_;
        aeroReceiver = aeroReceiver_;

        address _token0 = IArrakisMetaVault(metaVault_).token0();
        address _token1 = IArrakisMetaVault(metaVault_).token1();

        if (_token0 == NATIVE_COIN || _token1 == NATIVE_COIN) {
            revert NativeCoinNotSupported();
        }

        if (_token0 == AERO || _token1 == AERO) {
            revert AEROTokenNotSupported();
        }

        address _pool =
            factory.getPool(_token0, _token1, tickSpacing_);

        if (_pool == address(0)) {
            revert PoolNotFound();
        }

        address _gauge = voter.gauges(_pool);

        if (!voter.isAlive(_gauge)) {
            revert GaugeKilled();
        }

        pool = _pool;
        gauge = _gauge;

        token0 = IERC20Metadata(_token0);
        token1 = IERC20Metadata(_token1);

        __ReentrancyGuard_init();
        __Pausable_init();
    }

    /// @inheritdoc IArrakisLPModule
    function initializePosition(
        bytes calldata data_
    ) external {
        /// @dev left over will sit on the module.
    }

    // #endregion initialize functions.

    // #region rfq system.

    /// @inheritdoc IAerodromeStandardModulePrivate
    function approve(
        address spender_,
        uint256 amount0_,
        uint256 amount1_
    ) external nonReentrant whenNotPaused onlyMetaVaultOwner {
        IERC20Metadata _token0 = token0;
        IERC20Metadata _token1 = token1;

        _token0.forceApprove(spender_, amount0_);
        _token1.forceApprove(spender_, amount1_);

        emit LogApproval(spender_, amount0_, amount1_);
    }

    // #endregion rfq system.

    /// @inheritdoc IArrakisLPModulePrivate
    function fund(
        address depositor_,
        uint256 amount0_,
        uint256 amount1_
    ) external payable nonReentrant onlyMetaVault whenNotPaused {
        if (msg.value != 0) {
            revert NativeCoinNotSupported();
        }

        if (amount0_ == 0 && amount1_ == 0) {
            revert AmountsZero();
        }

        if (amount0_ > 0) {
            token0.safeTransferFrom(
                depositor_, address(this), amount0_
            );
        }

        if (amount1_ > 0) {
            token1.safeTransferFrom(
                depositor_, address(this), amount1_
            );
        }

        emit LogFund(depositor_, amount0_, amount1_);
    }

    /// @inheritdoc IArrakisLPModule
    function withdraw(
        address receiver_,
        uint256 proportion_
    )
        public
        virtual
        onlyMetaVault
        nonReentrant
        returns (uint256 amount0, uint256 amount1)
    {
        /// @dev decrease nft position or burn it.

        // #region checks.

        if (receiver_ == address(0)) revert AddressZero();

        if (proportion_ == 0) revert ProportionZero();

        if (proportion_ > BASE) revert ProportionGtBASE();

        // #endregion checks.

        uint256[] memory tokenIds = _tokenIds.values();

        uint256 aeroAmountCollected;

        IERC20Metadata _token0 = token0;
        IERC20Metadata _token1 = token1;

        amount0 = FullMath.mulDiv(
            _token0.balanceOf(address(this)), proportion_, BASE
        );
        amount1 = FullMath.mulDiv(
            _token1.balanceOf(address(this)), proportion_, BASE
        );

        // #region get sqrtPriceX96 from oracle price.

        (uint160 sqrtPriceX96,,,,,) = IUniswapV3Pool(pool).slot0();

        // #endregion get sqrtPriceX96 from oracle price.

        ModifyPosition memory modifyPosition;

        modifyPosition.proportion = proportion_;

        for (uint256 i; i < tokenIds.length;) {
            modifyPosition.tokenId = tokenIds[i];
            (uint256 amt0, uint256 amt1, uint256 aeroCo) =
                _decreaseLiquidity(modifyPosition, sqrtPriceX96);

            amount0 += amt0;
            amount1 += amt1;
            aeroAmountCollected += aeroCo;

            unchecked {
                i += 1;
            }
        }

        // #region take the manager share.

        uint256 _managerFeePIPS = managerFeePIPS;

        _aeroManagerBalance += FullMath.mulDiv(
            aeroAmountCollected, _managerFeePIPS, PIPS
        );

        // #endregion take the manager share.

        if (amount0 > 0) {
            _token0.safeTransfer(receiver_, amount0);
        }
        if (amount1 > 0) {
            _token1.safeTransfer(receiver_, amount1);
        }

        emit LogWithdraw(receiver_, proportion_, amount0, amount1);
    }

    /// @inheritdoc IAerodromeStandardModulePrivate
    function claimRewards(
        address receiver_
    ) external onlyMetaVaultOwner nonReentrant whenNotPaused {
        // #region checks.

        if (receiver_ == address(0)) {
            revert AddressZero();
        }

        // #endregion checks.

        uint256 length = _tokenIds.length();
        uint256 aeroBalance;
        address _gauge = gauge;

        uint256 balance =
            IERC20Metadata(AERO).balanceOf(address(this));

        for (uint256 i; i < length;) {
            uint256 tokenId = _tokenIds.at(i);

            ICLGauge(_gauge).getReward(tokenId);

            unchecked {
                i += 1;
            }
        }

        aeroBalance +=
            IERC20Metadata(AERO).balanceOf(address(this)) - balance;

        // #region take the manager share.

        _aeroManagerBalance +=
            FullMath.mulDiv(aeroBalance, managerFeePIPS, PIPS);

        // #endregion take the manager share.

        uint256 aeroToClaim = IERC20Metadata(AERO).balanceOf(
            address(this)
        ) - _aeroManagerBalance;

        IERC20Metadata(AERO).safeTransfer(receiver_, aeroToClaim);

        emit LogClaim(receiver_, aeroToClaim);
    }

    /// @inheritdoc IAerodromeStandardModulePrivate
    function setReceiver(
        address newReceiver_
    ) external whenNotPaused {
        address manager = metaVault.manager();

        if (IOwnable(manager).owner() != msg.sender) {
            revert OnlyManagerOwner();
        }

        address oldReceiver = aeroReceiver;
        if (newReceiver_ == address(0)) {
            revert AddressZero();
        }

        if (oldReceiver == newReceiver_) {
            revert SameReceiver();
        }

        aeroReceiver = newReceiver_;

        emit LogSetReceiver(oldReceiver, newReceiver_);
    }

    /// @inheritdoc IAerodromeStandardModulePrivate
    function claimManager() public nonReentrant whenNotPaused {
        uint256 length = _tokenIds.length();
        address _gauge = gauge;

        uint256 aeroBalance =
            IERC20Metadata(AERO).balanceOf(address(this));

        for (uint256 i; i < length;) {
            uint256 tokenId = _tokenIds.at(i);

            ICLGauge(_gauge).getReward(tokenId);

            unchecked {
                i += 1;
            }
        }

        aeroBalance =
            IERC20Metadata(AERO).balanceOf(address(this)) - aeroBalance;

        // #region take the manager share.

        uint256 amountToSend = _aeroManagerBalance
            + FullMath.mulDiv(aeroBalance, managerFeePIPS, PIPS);
        _aeroManagerBalance = 0;

        // #endregion take the manager share.

        address _aeroReceiver = aeroReceiver;

        IERC20Metadata(AERO).safeTransfer(_aeroReceiver, amountToSend);

        emit LogManagerClaim(_aeroReceiver, amountToSend);
    }

    /// @inheritdoc IAerodromeStandardModulePrivate
    function rebalance(
        RebalanceParams calldata params_
    ) external nonReentrant whenNotPaused onlyManager {
        // #region modify postitions.

        uint256 length = params_.decreasePositions.length;

        uint256 burn0;
        uint256 burn1;

        // #region get sqrtPriceX96 from oracle price.

        (uint160 sqrtPriceX96,,,,,) = IUniswapV3Pool(pool).slot0();

        // #endregion get sqrtPriceX96 from oracle price.

        if (length > 0) {
            uint256 aeroAmountCollected;

            uint256 _managerFeePIPS = managerFeePIPS;

            for (uint256 i; i < length;) {
                if (
                    !_tokenIds.contains(
                        params_.decreasePositions[i].tokenId
                    )
                ) {
                    revert TokenIdNotFound();
                }

                (uint256 amt0, uint256 amt1, uint256 aeroCo) =
                _decreaseLiquidity(
                    params_.decreasePositions[i], sqrtPriceX96
                );

                burn0 += amt0;
                burn1 += amt1;
                aeroAmountCollected += aeroCo;

                unchecked {
                    i += 1;
                }
            }

            // #region manager fees.

            _aeroManagerBalance += FullMath.mulDiv(
                aeroAmountCollected, _managerFeePIPS, PIPS
            );

            // #endregion manager fees.

            // #region minBurns.

            if (burn0 < params_.minBurn0) {
                revert BurnToken0();
            }

            if (burn1 < params_.minBurn1) {
                revert BurnToken1();
            }

            // #endregion minBurns.
        }

        // #endregion modify positions.

        // #region swap.

        if (params_.swapPayload.amountIn > 0) {
            IERC20Metadata _token0 = token0;
            IERC20Metadata _token1 = token1;

            _checkMinReturn(
                params_.swapPayload.zeroForOne,
                params_.swapPayload.expectedMinReturn,
                params_.swapPayload.amountIn,
                _token0.decimals(),
                _token1.decimals()
            );

            uint256 balance;

            if (params_.swapPayload.zeroForOne) {
                _token0.forceApprove(
                    params_.swapPayload.router,
                    params_.swapPayload.amountIn
                );

                balance = _token1.balanceOf(address(this));
            } else {
                _token1.forceApprove(
                    params_.swapPayload.router,
                    params_.swapPayload.amountIn
                );

                balance = _token0.balanceOf(address(this));
            }

            if (
                params_.swapPayload.router == address(metaVault)
                    || params_.swapPayload.router
                        == address(nftPositionManager)
                    || params_.swapPayload.router == gauge
                    || params_.swapPayload.router == AERO
            ) {
                revert WrongRouter();
            }

            {
                params_.swapPayload.router.functionCall(
                    params_.swapPayload.payload
                );
            }

            if (params_.swapPayload.zeroForOne) {
                balance = _token1.balanceOf(address(this)) - balance;

                if (params_.swapPayload.expectedMinReturn > balance) {
                    revert SlippageTooHigh();
                }

                _token0.forceApprove(params_.swapPayload.router, 0);
            } else {
                balance = _token0.balanceOf(address(this)) - balance;

                if (params_.swapPayload.expectedMinReturn > balance) {
                    revert SlippageTooHigh();
                }

                _token1.forceApprove(params_.swapPayload.router, 0);
            }
        }

        // #endregion swap.

        uint256 mint0;
        uint256 mint1;

        // #region increase positions.

        (sqrtPriceX96,,,,,) = IUniswapV3Pool(pool).slot0();

        length = params_.increasePositions.length;

        if (length > 0) {
            uint256 aeroAmountCollected;

            uint256 _managerFeePIPS = managerFeePIPS;

            for (uint256 i; i < length;) {
                if (
                    !_tokenIds.contains(
                        params_.increasePositions[i].tokenId
                    )
                ) {
                    revert TokenIdNotFound();
                }

                (uint256 amt0, uint256 amt1, uint256 aeroCo) =
                _increaseLiquidity(
                    params_.increasePositions[i], sqrtPriceX96
                );

                mint0 += amt0;
                mint1 += amt1;
                aeroAmountCollected += aeroCo;

                unchecked {
                    i += 1;
                }
            }

            // #region manager fees.

            _aeroManagerBalance += FullMath.mulDiv(
                aeroAmountCollected, _managerFeePIPS, PIPS
            );

            // #endregion manager fees.
        }

        // #endregion increase positions.

        // #region mint.

        length = params_.mintParams.length;

        if (length > 0) {
            address _token0 = address(token0);
            address _token1 = address(token1);

            for (uint256 i; i < length;) {
                (uint256 amount0, uint256 amount1) =
                    _mint(params_.mintParams[i], _token0, _token1);

                mint0 += amount0;
                mint1 += amount1;

                unchecked {
                    i += 1;
                }
            }

            if (mint0 < params_.minDeposit0) {
                revert MintToken0();
            }
            if (mint1 < params_.minDeposit1) {
                revert MintToken1();
            }
        }

        // #endregion mint.

        emit LogRebalance(burn0, burn1, mint0, mint1);
    }

    /// @inheritdoc IArrakisLPModule
    function withdrawManagerBalance()
        public
        nonReentrant
        whenNotPaused
        returns (uint256 amount0, uint256 amount1)
    {}

    /// @inheritdoc IArrakisLPModule
    function setManagerFeePIPS(
        uint256 newFeePIPS_
    ) external onlyManager whenNotPaused {
        uint256 _managerFeePIPS = managerFeePIPS;
        if (_managerFeePIPS == newFeePIPS_) revert SameManagerFee();
        if (newFeePIPS_ > PIPS) revert NewFeesGtPIPS(newFeePIPS_);

        claimManager();

        managerFeePIPS = newFeePIPS_;
        emit LogSetManagerFeePIPS(_managerFeePIPS, newFeePIPS_);
    }

    // #region view functions.

    /// @inheritdoc IArrakisLPModule
    function guardian() external view returns (address) {
        return IGuardian(_guardian).pauser();
    }

    /// @inheritdoc IAerodromeStandardModulePrivate
    function tokenIds() external view returns (uint256[] memory) {
        return _tokenIds.values();
    }

    /// @inheritdoc IArrakisLPModule
    function getInits()
        external
        view
        returns (uint256 init0, uint256 init1)
    {}

    /// @inheritdoc IArrakisLPModule
    function totalUnderlying()
        external
        view
        returns (uint256 amount0, uint256 amount1)
    {
        uint256 length = _tokenIds.length();

        (uint160 sqrtPriceX96,,,,,) = IUniswapV3Pool(pool).slot0();

        for (uint256 i; i < length;) {
            (uint256 amt0, uint256 amt1) =
                _principal(_tokenIds.at(i), sqrtPriceX96);

            amount0 += amt0;
            amount1 += amt1;

            unchecked {
                i += 1;
            }
        }

        // #region left over.

        amount0 += token0.balanceOf(address(this));
        amount1 += token1.balanceOf(address(this));

        // #endregion left over.
    }

    /// @inheritdoc IArrakisLPModule
    function totalUnderlyingAtPrice(
        uint160 priceX96_
    ) external view returns (uint256 amount0, uint256 amount1) {
        uint256 length = _tokenIds.length();

        for (uint256 i; i < length;) {
            (uint256 amt0, uint256 amt1) =
                _principal(_tokenIds.at(i), priceX96_);

            amount0 += amt0;
            amount1 += amt1;

            unchecked {
                i += 1;
            }
        }

        // #region left over.

        amount0 += token0.balanceOf(address(this));
        amount1 += token1.balanceOf(address(this));

        // #endregion left over.
    }

    /// @inheritdoc IArrakisLPModule
    function validateRebalance(
        IOracleWrapper oracle_,
        uint24 maxDeviation_
    ) external view {
        IERC20Metadata _token0 = token0;
        IERC20Metadata _token1 = token1;

        uint8 token0Decimals = _token0.decimals();
        uint8 token1Decimals = _token1.decimals();

        uint256 oraclePrice = oracle_.getPrice0();

        (uint160 sqrtPriceX96,,,,,) = IUniswapV3Pool(pool).slot0();

        uint256 poolPrice;

        if (sqrtPriceX96 <= type(uint128).max) {
            poolPrice = FullMath.mulDiv(
                uint256(sqrtPriceX96) * uint256(sqrtPriceX96),
                10 ** token0Decimals,
                1 << 192
            );
        } else {
            poolPrice = FullMath.mulDiv(
                FullMath.mulDiv(
                    uint256(sqrtPriceX96),
                    uint256(sqrtPriceX96),
                    1 << 64
                ),
                10 ** token0Decimals,
                1 << 128
            );
        }

        uint256 deviation = FullMath.mulDiv(
            FullMath.mulDiv(
                poolPrice > oraclePrice
                    ? poolPrice - oraclePrice
                    : oraclePrice - poolPrice,
                10 ** token1Decimals,
                poolPrice
            ),
            PIPS,
            10 ** token1Decimals
        );

        if (deviation > maxDeviation_) revert OverMaxDeviation();
    }

    /// @inheritdoc IArrakisLPModule
    function managerBalance0()
        external
        view
        returns (uint256 managerFee0)
    {}

    /// @inheritdoc IArrakisLPModule
    function managerBalance1()
        external
        view
        returns (uint256 managerFee1)
    {}

    /// @inheritdoc IAerodromeStandardModulePrivate
    function aeroManagerBalance() external view returns (uint256) {
        uint256 aeroBalance;
        uint256 length = _tokenIds.length();

        address _gauge = gauge;

        for (uint256 i; i < length;) {
            uint256 tokenId = _tokenIds.at(i);

            aeroBalance += ICLGauge(_gauge).rewards(tokenId);
            aeroBalance +=
                ICLGauge(_gauge).earned(address(this), tokenId);

            unchecked {
                i += 1;
            }
        }

        return _aeroManagerBalance
            + FullMath.mulDiv(aeroBalance, managerFeePIPS, PIPS);
    }

    // #endregion view functions.

    // #region internal functions.

    function _decreaseLiquidity(
        ModifyPosition memory modifyPosition_,
        uint160 sqrtPriceX96_
    )
        internal
        returns (
            uint256 amount0ToSend,
            uint256 amount1ToSend,
            uint256 aeroAmountCollected
        )
    {
        // #region unstake position.

        address _gauge;
        uint128 liquidity;
        {
            uint256 aeroAmountCo;

            (aeroAmountCo, _gauge, liquidity) =
                _unstake(modifyPosition_.tokenId);

            aeroAmountCollected += aeroAmountCo;
        }

        // #endregion unstake position.

        {
            liquidity = SafeCast.toUint128(
                FullMath.mulDiv(
                    liquidity, modifyPosition_.proportion, BASE
                )
            );

            INonfungiblePositionManager.DecreaseLiquidityParams memory
                params = INonfungiblePositionManager
                    .DecreaseLiquidityParams({
                    tokenId: modifyPosition_.tokenId,
                    liquidity: liquidity,
                    amount0Min: 0,
                    amount1Min: 0,
                    deadline: type(uint256).max
                });

            nftPositionManager.decreaseLiquidity(params);
        }

        (amount0ToSend, amount1ToSend) = nftPositionManager.collect(
            INonfungiblePositionManager.CollectParams({
                tokenId: modifyPosition_.tokenId,
                recipient: address(this),
                amount0Max: type(uint128).max,
                amount1Max: type(uint128).max
            })
        );

        if (modifyPosition_.proportion == BASE) {
            nftPositionManager.burn(modifyPosition_.tokenId);

            _tokenIds.remove(modifyPosition_.tokenId);
        } else {
            nftPositionManager.approve(
                _gauge, modifyPosition_.tokenId
            );
            ICLGauge(_gauge).deposit(modifyPosition_.tokenId);
        }
    }

    function _increaseLiquidity(
        ModifyPosition memory modifyPosition_,
        uint160 sqrtPriceX96_
    )
        internal
        returns (
            uint256 amount0Sent,
            uint256 amount1Sent,
            uint256 aeroAmountCollected
        )
    {
        // #region principals.

        uint256 amt0;
        uint256 amt1;

        {
            (amt0, amt1) =
                _principal(modifyPosition_.tokenId, sqrtPriceX96_);
        }

        // #endregion principals.

        // #region unstake position.

        address _gauge;
        {
            uint256 aeroAmountCo;

            (aeroAmountCo, _gauge,) =
                _unstake(modifyPosition_.tokenId);

            aeroAmountCollected += aeroAmountCo;
        }

        // #endregion unstake position.

        amt0 = SafeCast.toUint128(
            FullMath.mulDiv(amt0, modifyPosition_.proportion, BASE)
        );
        amt1 = SafeCast.toUint128(
            FullMath.mulDiv(amt1, modifyPosition_.proportion, BASE)
        );

        {
            INonfungiblePositionManager.IncreaseLiquidityParams memory
                params = INonfungiblePositionManager
                    .IncreaseLiquidityParams({
                    tokenId: modifyPosition_.tokenId,
                    amount0Desired: amt0,
                    amount1Desired: amt1,
                    amount0Min: 0,
                    amount1Min: 0,
                    deadline: type(uint256).max
                });

            // #region approves.

            IERC20Metadata _token0 = token0;
            IERC20Metadata _token1 = token1;

            if (params.amount0Desired > 0) {
                _token0.forceApprove(
                    address(nftPositionManager), params.amount0Desired
                );
            }
            if (params.amount1Desired > 0) {
                _token1.forceApprove(
                    address(nftPositionManager), params.amount1Desired
                );
            }

            // #endregion approves.

            (, amount0Sent, amount1Sent) =
                nftPositionManager.increaseLiquidity(params);

            if (params.amount0Desired > 0) {
                _token0.forceApprove(address(nftPositionManager), 0);
            }
            if (params.amount1Desired > 0) {
                _token1.forceApprove(address(nftPositionManager), 0);
            }
        }

        nftPositionManager.approve(_gauge, modifyPosition_.tokenId);
        ICLGauge(_gauge).deposit(modifyPosition_.tokenId);
    }

    function _unstake(
        uint256 tokenId_
    )
        internal
        returns (
            uint256 aeroAmountCollected,
            address _gauge,
            uint128 liquidity
        )
    {
        // #region get rewards.

        {
            (,, liquidity) = _getPosition(tokenId_);

            _gauge = gauge;
        }

        uint256 aeroBalance =
            IERC20Metadata(AERO).balanceOf(address(this));

        ICLGauge(_gauge).withdraw(tokenId_);

        aeroAmountCollected += (
            IERC20Metadata(AERO).balanceOf(address(this))
                - aeroBalance
        );

        // #endregion get rewards.
    }

    function _mint(
        INonfungiblePositionManager.MintParams calldata params_,
        address token0_,
        address token1_
    ) internal returns (uint256 amount0, uint256 amount1) {
        uint256 tokenId;

        if (params_.token0 != token0_) {
            revert Token0Mismatch();
        }
        if (params_.token1 != token1_) {
            revert Token1Mismatch();
        }

        int24 tickSpacing = IUniswapV3Pool(pool).tickSpacing();

        if (params_.tickSpacing != tickSpacing) {
            revert TickSpacingMismatch();
        }

        // #region approves.

        if (params_.amount0Desired > 0) {
            IERC20Metadata(token0_).forceApprove(
                address(nftPositionManager), params_.amount0Desired
            );
        }
        if (params_.amount1Desired > 0) {
            IERC20Metadata(token1_).forceApprove(
                address(nftPositionManager), params_.amount1Desired
            );
        }

        // #endregion approves.

        (tokenId,, amount0, amount1) =
            nftPositionManager.mint(params_);

        if (params_.amount0Desired > 0) {
            IERC20Metadata(token0_).forceApprove(
                address(nftPositionManager), 0
            );
        }
        if (params_.amount1Desired > 0) {
            IERC20Metadata(token1_).forceApprove(
                address(nftPositionManager), 0
            );
        }

        _tokenIds.add(tokenId);

        // #region stake.

        address _gauge = gauge;

        nftPositionManager.approve(_gauge, tokenId);
        ICLGauge(_gauge).deposit(tokenId);

        // #endregion stake.
    }

    function _checkMinReturn(
        bool zeroForOne_,
        uint256 expectedMinReturn_,
        uint256 amountIn_,
        uint8 decimals0_,
        uint8 decimals1_
    ) internal view {
        if (zeroForOne_) {
            if (
                FullMath.mulDiv(
                    expectedMinReturn_, 10 ** decimals0_, amountIn_
                )
                    < FullMath.mulDiv(
                        oracle.getPrice0(), PIPS - maxSlippage, PIPS
                    )
            ) revert ExpectedMinReturnTooLow();
        } else {
            if (
                FullMath.mulDiv(
                    expectedMinReturn_, 10 ** decimals1_, amountIn_
                )
                    < FullMath.mulDiv(
                        oracle.getPrice1(), PIPS - maxSlippage, PIPS
                    )
            ) revert ExpectedMinReturnTooLow();
        }
    }

    function _principal(
        uint256 tokenId_,
        uint160 sqrtRatioX96_
    ) internal view returns (uint256 amount0, uint256 amount1) {
        (int24 tickLower, int24 tickUpper, uint128 liquidity) =
            _getPosition(tokenId_);

        (amount0, amount1) = LiquidityAmounts.getAmountsForLiquidity(
            sqrtRatioX96_,
            TickMath.getSqrtRatioAtTick(tickLower),
            TickMath.getSqrtRatioAtTick(tickUpper),
            liquidity
        );
    }

    /// @dev trick to workaround stack too deep.
    function _getPosition(
        uint256 tokenId_
    )
        internal
        view
        returns (int24 tickLower, int24 tickUpper, uint128 liquidity)
    {
        bytes memory payload = abi.encodeWithSelector(
            INonfungiblePositionManager.positions.selector, tokenId_
        );

        bytes memory result =
            address(nftPositionManager).functionStaticCall(payload);

        (,,,,, tickLower, tickUpper, liquidity) = abi.decode(
            result,
            (
                uint96,
                address,
                address,
                address,
                int24,
                int24,
                int24,
                uint128
            )
        );
    }

    // #endregion internal functions.
}

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

import {IERC20Metadata} from
    "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import {IArrakisMetaVault} from "./IArrakisMetaVault.sol";
import {IOracleWrapper} from "./IOracleWrapper.sol";

/// @title Liquidity providing module interface.
/// @author Arrakis Finance
/// @notice Module interfaces, modules are implementing differents strategies that an
/// arrakis module can use.
interface IArrakisLPModule {
    // #region errors.

    /// @dev triggered when an address that should not
    /// be zero is equal to address zero.
    error AddressZero();

    /// @dev triggered when the caller is different than
    /// the metaVault that own this module.
    error OnlyMetaVault(address caller, address metaVault);

    /// @dev triggered when the caller is different than
    /// the manager defined by the metaVault.
    error OnlyManager(address caller, address manager);

    /// @dev triggered if proportion of minting or burning is
    /// zero.
    error ProportionZero();

    /// @dev triggered if during withdraw more than 100% of the
    /// position.
    error ProportionGtBASE();

    /// @dev triggered when manager want to set his more
    /// earned by the position than 100% of fees earned.
    error NewFeesGtPIPS(uint256 newFees);

    /// @dev triggered when manager is setting the same fees
    /// that already active.
    error SameManagerFee();

    /// @dev triggered when inits values are zeros.
    error InitsAreZeros();

    /// @dev triggered when pause/unpaused function is
    /// called by someone else than guardian.
    error OnlyGuardian();

    // #endregion errors.

    // #region events.

    /// @notice Event describing a withdrawal of participation by an user inside this module.
    /// @dev withdraw action can be indexed by receiver.
    /// @param receiver address that will receive the tokens withdrawn.
    /// @param proportion percentage of the current position that user want to withdraw.
    /// @param amount0 amount of token0 send to "receiver" due to withdraw action.
    /// @param amount1 amount of token1 send to "receiver" due to withdraw action.
    event LogWithdraw(
        address indexed receiver,
        uint256 proportion,
        uint256 amount0,
        uint256 amount1
    );

    /// @notice Event describing a manager fee withdrawal.
    /// @param manager address of the manager that will fees earned due to his fund management.
    /// @param amount0 amount of token0 that manager has earned and will be transfered.
    /// @param amount1 amount of token1 that manager has earned and will be transfered.
    event LogWithdrawManagerBalance(
        address manager, uint256 amount0, uint256 amount1
    );

    /// @notice Event describing manager set his fees.
    /// @param oldFee fees share that have been taken by manager.
    /// @param newFee fees share that have been taken by manager.
    event LogSetManagerFeePIPS(uint256 oldFee, uint256 newFee);

    // #endregion events.

    /// @notice function used to pause the module.
    /// @dev only callable by guardian
    function pause() external;

    /// @notice function used to unpause the module.
    /// @dev only callable by guardian
    function unpause() external;

    /// @notice function used to initialize the module
    /// when a module switch happen
    /// @param data_ bytes that contain information to initialize
    /// the position.
    function initializePosition(bytes calldata data_) external;

    /// @notice function used by metaVault to withdraw tokens from the strategy.
    /// @param receiver_ address that will receive tokens.
    /// @param proportion_ the proportion of the total position that need to be withdrawn.
    /// @return amount0 amount of token0 withdrawn.
    /// @return amount1 amount of token1 withdrawn.
    function withdraw(
        address receiver_,
        uint256 proportion_
    ) external returns (uint256 amount0, uint256 amount1);

    /// @notice function used by metaVault or manager to get manager fees.
    /// @return amount0 amount of token0 sent to manager.
    /// @return amount1 amount of token1 sent to manager.
    function withdrawManagerBalance()
        external
        returns (uint256 amount0, uint256 amount1);

    /// @notice function used to set manager fees.
    /// @param newFeePIPS_ new fee that will be applied.
    function setManagerFeePIPS(uint256 newFeePIPS_) external;

    // #region view functions.

    /// @notice function used to get metaVault as IArrakisMetaVault.
    /// @return metaVault that implement IArrakisMetaVault.
    function metaVault() external view returns (IArrakisMetaVault);

    /// @notice function used to get the address that can pause the module.
    /// @return guardian address of the pauser.
    function guardian() external view returns (address);

    /// @notice function used to get manager token0 balance.
    /// @dev amount of fees in token0 that manager have not taken yet.
    /// @return managerBalance0 amount of token0 that manager earned.
    function managerBalance0() external view returns (uint256);

    /// @notice function used to get manager token1 balance.
    /// @dev amount of fees in token1 that manager have not taken yet.
    /// @return managerBalance1 amount of token1 that manager earned.
    function managerBalance1() external view returns (uint256);

    /// @notice function used to get manager fees.
    /// @return managerFeePIPS amount of token1 that manager earned.
    function managerFeePIPS() external view returns (uint256);

    /// @notice function used to get token0 as IERC20Metadata.
    /// @return token0 as IERC20Metadata.
    function token0() external view returns (IERC20Metadata);

    /// @notice function used to get token1 as IERC20Metadata.
    /// @return token1 as IERC20Metadata.
    function token1() external view returns (IERC20Metadata);

    /// @notice function used to get the initial amounts needed to open a position.
    /// @return init0 the amount of token0 needed to open a position.
    /// @return init1 the amount of token1 needed to open a position.
    function getInits()
        external
        view
        returns (uint256 init0, uint256 init1);

    /// @notice function used to get the amount of token0 and token1 sitting
    /// on the position.
    /// @return amount0 the amount of token0 sitting on the position.
    /// @return amount1 the amount of token1 sitting on the position.
    function totalUnderlying()
        external
        view
        returns (uint256 amount0, uint256 amount1);

    /// @notice function used to get the amounts of token0 and token1 sitting
    /// on the position for a specific price.
    /// @param priceX96_ price at which we want to simulate our tokens composition
    /// @return amount0 the amount of token0 sitting on the position for priceX96.
    /// @return amount1 the amount of token1 sitting on the position for priceX96.
    function totalUnderlyingAtPrice(uint160 priceX96_)
        external
        view
        returns (uint256 amount0, uint256 amount1);

    /// @notice function used to validate if module state is not manipulated
    /// before rebalance.
    /// @param oracle_ oracle that will used to check internal state.
    /// @param maxDeviation_ maximum deviation allowed.
    function validateRebalance(
        IOracleWrapper oracle_,
        uint24 maxDeviation_
    ) external view;

    // #endregion view function.
}

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

/// @notice expose a deposit function for that can
/// deposit any share of token0 and token1.
/// @dev this deposit feature will be used by
/// private actor.
interface IArrakisLPModulePrivate {
    // #region errors.

    error DepositZero();

    // #endregion errors.

    // #region events.

    /// @notice event emitted when owner of private fund the private vault.
    /// @param depositor address that are sending the tokens, the owner.
    /// @param amount0 amount of token0 sent by depositor.
    /// @param amount1 amount of token1 sent by depositor.
    event LogFund(
        address depositor, uint256 amount0, uint256 amount1
    );

    // #endregion events.

    /// @notice deposit function for private vault.
    /// @param depositor_ address that will provide the tokens.
    /// @param amount0_ amount of token0 that depositor want to send to module.
    /// @param amount1_ amount of token1 that depositor want to send to module.
    function fund(
        address depositor_,
        uint256 amount0_,
        uint256 amount1_
    ) external payable;
}

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

import {IArrakisLPModule} from "./IArrakisLPModule.sol";

/// @title IArrakisMetaVault
/// @notice IArrakisMetaVault is a vault that is able to invest dynamically deposited
/// tokens into protocols through his module.
interface IArrakisMetaVault {
    // #region errors.

    /// @dev triggered when an address that should not
    /// be zero is equal to address zero.
    error AddressZero(string property);

    /// @dev triggered when the caller is different than
    /// the manager.
    error OnlyManager(address caller, address manager);

    /// @dev triggered when a low level call failed during
    /// execution.
    error CallFailed();

    /// @dev triggered when manager try to set the active
    /// module as active.
    error SameModule();

    /// @dev triggered when owner of the vault try to set the
    /// manager with the current manager.
    error SameManager();

    /// @dev triggered when all tokens withdrawal has been done
    /// during a switch of module.
    error ModuleNotEmpty(uint256 amount0, uint256 amount1);

    /// @dev triggered when owner try to whitelist a module
    /// that has been already whitelisted.
    error AlreadyWhitelisted(address module);

    /// @dev triggered when owner try to blacklist a module
    /// that has not been whitelisted.
    error NotWhitelistedModule(address module);

    /// @dev triggered when owner try to blacklist the active module.
    error ActiveModule();

    /// @dev triggered during vault creation if token0 address is greater than
    /// token1 address.
    error Token0GtToken1();

    /// @dev triggered during vault creation if token0 address is equal to
    /// token1 address.
    error Token0EqToken1();

    /// @dev triggered when whitelisting action is occuring and module's beacon
    /// is not whitelisted on module registry.
    error NotWhitelistedBeacon();

    /// @dev triggered when guardian of the whitelisting module is different than
    /// the guardian of the registry.
    error NotSameGuardian();

    /// @dev triggered when a function logic is not implemented.
    error NotImplemented();

    /// @dev triggered when two arrays suppposed to have the same length, have different length.
    error ArrayNotSameLength();

    /// @dev triggered when function is called by someone else than the owner.
    error OnlyOwner();

    /// @dev triggered when setModule action try to remove funds.
    error WithdrawNotAllowed();

    /// @dev triggered when setModule function end without
    /// initiliazePosition call.
    error PositionNotInitialized();

    /// @dev triggered when the first external call of setModule function
    /// isn't InitializePosition function.
    error NotPositionInitializationCall();

    // #endregion errors.

    // #region events.

    /// @notice Event describing a manager fee withdrawal.
    /// @param amount0 amount of token0 that manager has earned and will be transfered.
    /// @param amount1 amount of token1 that manager has earned and will be transfered.
    event LogWithdrawManagerBalance(uint256 amount0, uint256 amount1);

    /// @notice Event describing owner setting the manager.
    /// @param manager address of manager that will manage the portfolio.
    event LogSetManager(address manager);

    /// @notice Event describing manager setting the module.
    /// @param module address of the new active module.
    /// @param payloads data payloads for initializing positions on the new module.
    event LogSetModule(address module, bytes[] payloads);

    /// @notice Event describing default module that the vault will be initialized with.
    /// @param module address of the default module.
    event LogSetFirstModule(address module);

    /// @notice Event describing list of modules that has been whitelisted by owner.
    /// @param modules list of addresses corresponding to new modules now available
    /// to be activated by manager.
    event LogWhiteListedModules(address[] modules);

    /// @notice Event describing whitelisted of the first module during vault creation.
    /// @param module default activation.
    event LogWhitelistedModule(address module);

    /// @notice Event describing blacklisting action of modules by owner.
    /// @param modules list of addresses corresponding to old modules that has been
    /// blacklisted.
    event LogBlackListedModules(address[] modules);

    // #endregion events.

    /// @notice function used to initialize default module.
    /// @param module_ address of the default module.
    function initialize(address module_) external;

    /// @notice function used to set module
    /// @param module_ address of the new module
    /// @param payloads_ datas to initialize/rebalance on the new module
    function setModule(
        address module_,
        bytes[] calldata payloads_
    ) external;

    /// @notice function used to whitelist modules that can used by manager.
    /// @param beacons_ array of beacons addresses to use for modules creation.
    /// @param data_ array of payload to use for modules creation.
    function whitelistModules(
        address[] calldata beacons_,
        bytes[] calldata data_
    ) external;

    /// @notice function used to blacklist modules that can used by manager.
    /// @param modules_ array of module addresses to be blacklisted.
    function blacklistModules(address[] calldata modules_) external;

    // #region view functions.

    /// @notice function used to get the list of modules whitelisted.
    /// @return modules whitelisted modules addresses.
    function whitelistedModules()
        external
        view
        returns (address[] memory modules);

    /// @notice function used to get the amount of token0 and token1 sitting
    /// on the position.
    /// @return amount0 the amount of token0 sitting on the position.
    /// @return amount1 the amount of token1 sitting on the position.
    function totalUnderlying()
        external
        view
        returns (uint256 amount0, uint256 amount1);

    /// @notice function used to get the amounts of token0 and token1 sitting
    /// on the position for a specific price.
    /// @param priceX96 price at which we want to simulate our tokens composition
    /// @return amount0 the amount of token0 sitting on the position for priceX96.
    /// @return amount1 the amount of token1 sitting on the position for priceX96.
    function totalUnderlyingAtPrice(uint160 priceX96)
        external
        view
        returns (uint256 amount0, uint256 amount1);

    /// @notice function used to get the initial amounts needed to open a position.
    /// @return init0 the amount of token0 needed to open a position.
    /// @return init1 the amount of token1 needed to open a position.
    function getInits()
        external
        view
        returns (uint256 init0, uint256 init1);

    /// @notice function used to get the address of token0.
    function token0() external view returns (address);

    /// @notice function used to get the address of token1.
    function token1() external view returns (address);

    /// @notice function used to get manager address.
    function manager() external view returns (address);

    /// @notice function used to get module used to
    /// open/close/manager a position.
    function module() external view returns (IArrakisLPModule);

    /// @notice function used to get module registry.
    /// @return registry address of module registry.
    function moduleRegistry()
        external
        view
        returns (address registry);

    // #endregion view functions.
}

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

import {IUniswapV3Factory} from "./IUniswapV3Factory.sol";
import {INonfungiblePositionManager} from "./INonfungiblePositionManager.sol";
import {IVoter} from "./IVoter.sol";
import {IOracleWrapper} from "./IOracleWrapper.sol";
import {RebalanceParams} from "../structs/SUniswapV3.sol";

/// @title Aerodrome Standard Private Module.
/// @author Arrakis Finance
/// @notice Aerodrome Module interface, modules able to interact with aerodrome dex. 
interface IAerodromeStandardModulePrivate {

    // #region errors.

    /// @dev triggered when the max slippage variable is set to greater than 10%.
    error MaxSlippageGtTenPercent();
    /// @dev triggered when the caller is different than the meta vault owner.
    error OnlyMetaVaultOwner();
    /// @dev triggered when token pair contain native coin.
    error NativeCoinNotSupported();
    /// @dev triggered when burn of token0 is smaller than expected.
    error BurnToken0();
    /// @dev triggered when burn of token1 is smaller than expected.
    error BurnToken1();
    /// @dev triggered when mint of token0 is smaller than expected.
    error MintToken0();
    /// @dev triggered when mint of token1 is smaller than expected.
    error MintToken1();
    /// @dev triggered when tokenId of position is unknown from the module.
    error TokenIdNotFound();
    /// @dev triggered when token0 of mintParams is different than module token0.
    error Token0Mismatch();
    /// @dev triggered when token1 of mintParams is different than module token1.
    error Token1Mismatch();
    /// @dev triggered when tick spacing of mintParams is different than the pool module.
    error TickSpacingMismatch();
    /// @dev triggered when min return of rebalance swap is too low.
    error ExpectedMinReturnTooLow();
    /// @dev triggered when swap router of the rebalance payload is unauthorized address.
    error WrongRouter();
    /// @dev triggered when amount received from rebalance swap is too low.
    error SlippageTooHigh();
    /// @dev triggered when deviation of pool price from oracle price is
    /// greater than max allowed value.
    error OverMaxDeviation();
    /// @dev triggered when new aero receiver is equal to old aero receiver.
    error SameReceiver();
    /// @dev triggered when pool has not been created on factory. 
    error PoolNotFound();
    /// @dev triggered when funded amounts are equals to zero.
    error AmountsZero();
    /// @dev triggered when caller is not the owner of the manager.
    error OnlyManagerOwner();
    /// @dev triggered when aero token is one of the token of the module token pair.
    error AEROTokenNotSupported();
    /// @dev triggered when gauge returned by voter is not alive.
    error GaugeKilled();

    // #endregion errors.

    // #region events.

    /// @notice Event describing an approval of left overs to an address.
    /// @param spender the address that will get the allowance.
    /// @param amount0 the amount of token0 allowed to spender.
    /// @param amount1 the amount of token1 allowed to spender.
    event LogApproval(
        address indexed spender,
        uint256 amount0,
        uint256 amount1
    );

    /// @notice Event describing an rebalance results on underlying.
    /// @param burn0 the amount of token0 burned during rebalance.
    /// @param burn1 the amount of token1 burned during rebalance.
    /// @param mint0 the amount of token0 minted during rebalance.
    /// @param mint1 the amount of token1 minted during rebalance.
    event LogRebalance(
        uint256 burn0,
        uint256 burn1,
        uint256 mint0,
        uint256 mint1
    );

    /// @notice Event describing an claim by user of aero token.
    /// @param receiver the receiver of aero token.
    /// @param aeroAmount the amount of aero token claimed.
    event LogClaim(
        address indexed receiver,
        uint256 aeroAmount
    );

    /// @notice Event describing an claim by manager of aero token.
    /// @param receiver the receiver of aero token.
    /// @param aeroAmount the amount of aero token claimed.
    event LogManagerClaim(
        address indexed receiver,
        uint256 aeroAmount
    );

    /// @notice Event describing the update of receiver of manager aero reward.
    /// @param oldReceiver previous receiver of aero token.
    /// @param newReceiver new receiver of aero token.
    event LogSetReceiver(address oldReceiver, address newReceiver);

    // #endregion events.

    /// @notice initialize function to delegate call onced the beacon proxy is deployed,
    /// for initializing the aerodrome module.
    /// @param oracle_ oracle that will be the price reference.
    /// @param maxSlippage_ maximum slippage allowed during swap, mint and burn.
    /// @param aeroReceiver_ recevier of aero token belonging to manager.
    /// @param tickSpacing_ tickSpacing of the aero pool to interact with.
    /// @param metaVault_ address of the meta vault
    function initialize(
        IOracleWrapper oracle_,
        uint24 maxSlippage_,
        address aeroReceiver_,
        int24 tickSpacing_,
        address metaVault_
    ) external;

    /// @notice function used to rebalance the inventory of the module.
    /// @param params_ params including decrease positions, swap, increase positions and mint datas.
    function rebalance(RebalanceParams calldata params_) external;

    /// @notice function used by user to claim the aero rewards.
    /// @param receiver_ address that will receive the aero rewards.
    function claimRewards(address receiver_) external;

    /// @notice function used by executor to claim the manager aero rewards.
    function claimManager() external;

    /// @notice function used to approve a spender to use the left over of the module.
    /// @param spender_ address that will be allowed to use left over.
    /// @param amount0_ amount of token0 allowed to be used by spender.
    /// @param amount1_ amount of token1 allowed to be used by spender.
    function approve(
        address spender_,
        uint256 amount0_,
        uint256 amount1_
    ) external;

    /// @notice function used to set the receiver of aero rewards.
    /// @param newReceiver_ new address that will receive the aero token.
    function setReceiver(
        address newReceiver_
    ) external;

    // #region view functions.
    /// @notice function used to get the NonFungiblePositionManager of aerodrome.
    function nftPositionManager() external view returns (INonfungiblePositionManager);
    /// @notice function used to get the factory of aerodrome.
    function factory() external view returns (IUniswapV3Factory);
    /// @notice function used to get the voter of aerodrome.
    function voter() external view returns (IVoter);
    /// @notice function used to get the list of tokenIds of non fungible position.
    function tokenIds() external view returns (uint256[] memory);
    /// @notice function used to get the maximum slippage.
    function maxSlippage() external view returns (uint24);
    /// @notice function used to get aero token receiver.
    function aeroReceiver() external view returns (address);
    /// @notice function used to get aero pool the module is interacting with.
    function pool() external view returns (address);
    /// @notice function used to get aero gauge associated to pool the module is interacting with.
    function gauge() external view returns (address);
    /// @notice function used to get aero balance due to manager.
    function aeroManagerBalance() external view returns (uint256);
    /// @notice function used to get the oracle that
    /// will be used to proctect rebalances.
    function oracle() external view returns (IOracleWrapper);
    // #endregion view functions.
    // #region constant.
    /// @notice function used to get aero token address.
    function AERO() external view returns (address);
    // #endregion constant.
}

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

interface IArrakisLPModuleID {
    /// @notice function used to get module id.
    function id() external view returns (bytes32);
}

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

interface IUniswapV3Factory {
    function getPool(
        address tokenA,
        address tokenB,
        int24 tickSpacing
    ) external view returns (address pool);
}

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

interface INonfungiblePositionManager {
    struct MintParams {
        address token0;
        address token1;
        int24 tickSpacing;
        int24 tickLower;
        int24 tickUpper;
        uint256 amount0Desired;
        uint256 amount1Desired;
        uint256 amount0Min;
        uint256 amount1Min;
        address recipient;
        uint256 deadline;
        uint160 sqrtPriceX96;
    }

    function mint(
        MintParams calldata params
    )
        external
        payable
        returns (
            uint256 tokenId,
            uint128 liquidity,
            uint256 amount0,
            uint256 amount1
        );

    struct IncreaseLiquidityParams {
        uint256 tokenId;
        uint256 amount0Desired;
        uint256 amount1Desired;
        uint256 amount0Min;
        uint256 amount1Min;
        uint256 deadline;
    }

    function increaseLiquidity(
        IncreaseLiquidityParams calldata params
    )
        external
        payable
        returns (uint128 liquidity, uint256 amount0, uint256 amount1);

    struct DecreaseLiquidityParams {
        uint256 tokenId;
        uint128 liquidity;
        uint256 amount0Min;
        uint256 amount1Min;
        uint256 deadline;
    }

    function decreaseLiquidity(
        DecreaseLiquidityParams calldata params
    ) external payable returns (uint256 amount0, uint256 amount1);

    // NOTE : remove collect part if not used.

    // #region collect.

    struct CollectParams {
        uint256 tokenId;
        address recipient;
        uint128 amount0Max;
        uint128 amount1Max;
    }

    function collect(
        CollectParams calldata params
    ) external payable returns (uint256 amount0, uint256 amount1);

    // #endregion collect.

    function burn(
        uint256 tokenId
    ) external payable;

    function positions(uint256 tokenId)
        external
        view
        returns (
            uint96 nonce,
            address operator,
            address token0,
            address token1,
            int24 tickSpacing,
            int24 tickLower,
            int24 tickUpper,
            uint128 liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );

    function approve(address to, uint256 tokenId) external;
}

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

interface IVoter {
    function killGauge(address _gauge) external;
    function gauges(address pool) external view returns (address);
    function isAlive(address gauge) external view returns (bool);
    function emergencyCouncil() external view returns (address);
}

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

import {INonfungiblePositionManager} from "./INonfungiblePositionManager.sol";
import {IVoter} from "./IVoter.sol";

interface ICLGauge {
    event NotifyReward(address indexed from, uint256 amount);
    event Deposit(address indexed user, uint256 indexed tokenId, uint128 indexed liquidityToStake);
    event Withdraw(address indexed user, uint256 indexed tokenId, uint128 indexed liquidityToStake);
    event ClaimFees(address indexed from, uint256 claimed0, uint256 claimed1);
    event ClaimRewards(address indexed from, uint256 amount);

    function nft() external view returns (INonfungiblePositionManager);

    function voter() external view returns (IVoter);

    function feesVotingReward() external view returns (address);

    function periodFinish() external view returns (uint256);

    function rewardRate() external view returns (uint256);

    function rewards(uint256 tokenId) external view returns (uint256);

    function lastUpdateTime(uint256 tokenId) external view returns (uint256);

    function rewardRateByEpoch(uint256) external view returns (uint256);

    function fees0() external view returns (uint256);

    function fees1() external view returns (uint256);

    function WETH9() external view returns (address);

    function token0() external view returns (address);

    function token1() external view returns (address);

    function tickSpacing() external view returns (int24);

    function left() external view returns (uint256 _left);

    function rewardToken() external view returns (address);

    function isPool() external view returns (bool);

    function supportsPayable() external view returns (bool);

    function rewardGrowthInside(uint256 tokenId) external view returns (uint256);

    function initialize(
        address _pool,
        address _feesVotingReward,
        address _rewardToken,
        address _voter,
        address _nft,
        address _token0,
        address _token1,
        int24 _tickSpacing,
        bool _isPool
    ) external;

    function earned(address account, uint256 tokenId) external view returns (uint256);

    function getReward(address account) external;

    function getReward(uint256 tokenId) external;
    function notifyRewardAmount(uint256 amount) external;

    function notifyRewardWithoutClaim(uint256 amount) external;

    function deposit(uint256 tokenId) external;

    function withdraw(uint256 tokenId) external;

    function stakedValues(address depositor) external view returns (uint256[] memory);

    function stakedByIndex(address depositor, uint256 index) external view returns (uint256);

    function stakedContains(address depositor, uint256 tokenId) external view returns (bool);

    function stakedLength(address depositor) external view returns (uint256);
}

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

interface IUniswapV3Pool {
     function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);

    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);

    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);

    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);

    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            bool unlocked
        );

    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );

    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            int128 stakedLiquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            uint256 rewardGrowthOutsideX128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );

    function feeGrowthGlobal0X128() external view returns (uint256);

    function feeGrowthGlobal1X128() external view returns (uint256);

    function tickSpacing() external view returns (int24);
}

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

interface IOracleWrapper {
    // #region errors.

    error AddressZero();
    error DecimalsToken0Zero();
    error DecimalsToken1Zero();

    // #endregion errors.

    /// @notice function used to get price0.
    /// @return price0 price of token0/token1.
    function getPrice0() external view returns (uint256 price0);

    /// @notice function used to get price1.
    /// @return price1 price of token1/token0.
    function getPrice1() external view returns (uint256 price1);
}

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

interface IOwnable {
    /// @notice function used to get the owner of this contract.
    function owner() external view returns (address);
}

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

interface IGuardian {
    // #region errors.

    error AddressZero();
    error SamePauser();

    // #endregion errors.

    // #region events.

    /// @notice event emitted when the pauser is set by the owner of the Guardian.
    /// @param oldPauser address of the previous pauser.
    /// @param newPauser address of the current pauser.
    event LogSetPauser(address oldPauser, address newPauser);

    // #endregion events.

    /// @notice function to get the address of the pauser of arrakis
    /// protocol.
    /// @return pauser address that can pause the arrakis protocol.
    function pauser() external view returns (address);

    /// @notice function to set the pauser of Arrakis protocol.
    function setPauser(address newPauser_) external;
}

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

uint256 constant MINIMUM_LIQUIDITY = 10 ** 3;
uint256 constant BASE = 1e18;
uint24 constant PIPS = 1_000_000;
uint24 constant TEN_PERCENT = 100_000;
uint256 constant WEEK = 604_800;
address constant NATIVE_COIN =
    0xEeeeeEeeeEeEeeEeEeEeeEEEeeeeEeeeeeeeEEeE;
uint8 constant NATIVE_COIN_DECIMALS = 18;

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

import {IUniswapV3Pool} from "../interfaces/IUniswapV3Pool.sol";
import {INonfungiblePositionManager} from
    "../interfaces/INonfungiblePositionManager.sol";

struct Range {
    int24 lowerTick;
    int24 upperTick;
    uint24 feeTier;
}

struct PositionUnderlying {
    address nftPositionManager;
    address factory;
    uint256 tokenId;
}

struct UnderlyingPayload {
    uint256[] tokenIds;
    address nftPositionManager;
    address factory;
    uint256 leftOver0;
    uint256 leftOver1;
    address module;
}

struct GetFeesPayload {
    uint256 feeGrowthInside0Last;
    uint256 feeGrowthInside1Last;
    IUniswapV3Pool pool;
    uint128 liquidity;
    int24 tick;
    int24 lowerTick;
    int24 upperTick;
}

struct ComputeFeesPayload {
    uint256 feeGrowthInsideLast;
    uint256 feeGrowthOutsideLower;
    uint256 feeGrowthOutsideUpper;
    uint256 feeGrowthGlobal;
    uint128 liquidity;
    int24 tick;
    int24 lowerTick;
    int24 upperTick;
}

struct ModifyPosition {
    uint256 tokenId;
    uint256 proportion;
}

struct SwapPayload {
    bytes payload;
    address router;
    uint256 amountIn;
    uint256 expectedMinReturn;
    bool zeroForOne;
}

struct RebalanceParams {
    ModifyPosition[] decreasePositions;
    ModifyPosition[] increasePositions;
    SwapPayload swapPayload;
    INonfungiblePositionManager.MintParams[] mintParams;
    uint256 minBurn0;
    uint256 minBurn1;
    uint256 minDeposit0;
    uint256 minDeposit1;
}

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

/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
    /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
    function mulDiv(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = a * b
            // Compute the product mod 2**256 and mod 2**256 - 1
            // then use the Chinese Remainder Theorem to reconstruct
            // the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2**256 + prod0
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(a, b, not(0))
                prod0 := mul(a, b)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division
            if (prod1 == 0) {
                require(denominator > 0);
                assembly {
                    result := div(prod0, denominator)
                }
                return result;
            }

            // Make sure the result is less than 2**256.
            // Also prevents denominator == 0
            require(denominator > prod1);

            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////

            // Make division exact by subtracting the remainder from [prod1 prod0]
            // Compute remainder using mulmod
            uint256 remainder;
            assembly {
                remainder := mulmod(a, b, denominator)
            }
            // Subtract 256 bit number from 512 bit number
            assembly {
                prod1 := sub(prod1, gt(remainder, prod0))
                prod0 := sub(prod0, remainder)
            }

            // Factor powers of two out of denominator
            // Compute largest power of two divisor of denominator.
            // Always >= 1.
            // EDIT for 0.8 compatibility:
            // see: https://ethereum.stackexchange.com/questions/96642/unary-operator-cannot-be-applied-to-type-uint256
            uint256 twos = denominator & (~denominator + 1);

            // Divide denominator by power of two
            assembly {
                denominator := div(denominator, twos)
            }

            // Divide [prod1 prod0] by the factors of two
            assembly {
                prod0 := div(prod0, twos)
            }
            // Shift in bits from prod1 into prod0. For this we need
            // to flip `twos` such that it is 2**256 / twos.
            // If twos is zero, then it becomes one
            assembly {
                twos := add(div(sub(0, twos), twos), 1)
            }
            prod0 |= prod1 * twos;

            // Invert denominator mod 2**256
            // Now that denominator is an odd number, it has an inverse
            // modulo 2**256 such that denominator * inv = 1 mod 2**256.
            // Compute the inverse by starting with a seed that is correct
            // correct for four bits. That is, denominator * inv = 1 mod 2**4
            uint256 inv = (3 * denominator) ^ 2;
            // Now use Newton-Raphson iteration to improve the precision.
            // Thanks to Hensel's lifting lemma, this also works in modular
            // arithmetic, doubling the correct bits in each step.
            inv *= 2 - denominator * inv; // inverse mod 2**8
            inv *= 2 - denominator * inv; // inverse mod 2**16
            inv *= 2 - denominator * inv; // inverse mod 2**32
            inv *= 2 - denominator * inv; // inverse mod 2**64
            inv *= 2 - denominator * inv; // inverse mod 2**128
            inv *= 2 - denominator * inv; // inverse mod 2**256

            // Because the division is now exact we can divide by multiplying
            // with the modular inverse of denominator. This will give us the
            // correct result modulo 2**256. Since the precoditions guarantee
            // that the outcome is less than 2**256, this is the final result.
            // We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inv;
            return result;
        }
    }

    /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result
    function mulDivRoundingUp(
        uint256 a,
        uint256 b,
        uint256 denominator
    ) internal pure returns (uint256 result) {
        result = mulDiv(a, b, denominator);
        if (mulmod(a, b, denominator) > 0) {
            require(result < type(uint256).max);
            result++;
        }
    }
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.8.0;
import {FullMath} from "./FullMath.sol";
import {FixedPoint96} from "@uniswap/v3-core/contracts/libraries/FixedPoint96.sol";

/// @title Liquidity amount functions
/// @notice Provides functions for computing liquidity amounts from token amounts and prices
library LiquidityAmounts {
    function toUint128(uint256 x) private pure returns (uint128 y) {
        require((y = uint128(x)) == x);
    }

    /// @notice Computes the amount of liquidity received for a given amount of token0 and price range
    /// @dev Calculates amount0 * (sqrt(upper) * sqrt(lower)) / (sqrt(upper) - sqrt(lower)).
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param amount0 The amount0 being sent in
    /// @return liquidity The amount of returned liquidity
    function getLiquidityForAmount0(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint256 amount0
    ) internal pure returns (uint128 liquidity) {
        if (sqrtRatioAX96 > sqrtRatioBX96)
            (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        uint256 intermediate = FullMath.mulDiv(
            sqrtRatioAX96,
            sqrtRatioBX96,
            FixedPoint96.Q96
        );
        return
            toUint128(
                FullMath.mulDiv(
                    amount0,
                    intermediate,
                    sqrtRatioBX96 - sqrtRatioAX96
                )
            );
    }

    /// @notice Computes the amount of liquidity received for a given amount of token1 and price range
    /// @dev Calculates amount1 / (sqrt(upper) - sqrt(lower)).
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param amount1 The amount1 being sent in
    /// @return liquidity The amount of returned liquidity
    function getLiquidityForAmount1(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint256 amount1
    ) internal pure returns (uint128 liquidity) {
        if (sqrtRatioAX96 > sqrtRatioBX96)
            (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        return
            toUint128(
                FullMath.mulDiv(
                    amount1,
                    FixedPoint96.Q96,
                    sqrtRatioBX96 - sqrtRatioAX96
                )
            );
    }

    /// @notice Computes the maximum amount of liquidity received for a given amount of token0, token1, the current
    /// pool prices and the prices at the tick boundaries
    function getLiquidityForAmounts(
        uint160 sqrtRatioX96,
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint256 amount0,
        uint256 amount1
    ) internal pure returns (uint128 liquidity) {
        if (sqrtRatioAX96 > sqrtRatioBX96)
            (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);

        if (sqrtRatioX96 <= sqrtRatioAX96) {
            liquidity = getLiquidityForAmount0(
                sqrtRatioAX96,
                sqrtRatioBX96,
                amount0
            );
        } else if (sqrtRatioX96 < sqrtRatioBX96) {
            uint128 liquidity0 = getLiquidityForAmount0(
                sqrtRatioX96,
                sqrtRatioBX96,
                amount0
            );
            uint128 liquidity1 = getLiquidityForAmount1(
                sqrtRatioAX96,
                sqrtRatioX96,
                amount1
            );

            liquidity = liquidity0 < liquidity1 ? liquidity0 : liquidity1;
        } else {
            liquidity = getLiquidityForAmount1(
                sqrtRatioAX96,
                sqrtRatioBX96,
                amount1
            );
        }
    }

    /// @notice Computes the amount of token0 for a given amount of liquidity and a price range
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The liquidity being valued
    /// @return amount0 The amount0
    function getAmount0ForLiquidity(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity
    ) internal pure returns (uint256 amount0) {
        if (sqrtRatioAX96 > sqrtRatioBX96)
            (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);

        return
            FullMath.mulDiv(
                uint256(liquidity) << FixedPoint96.RESOLUTION,
                sqrtRatioBX96 - sqrtRatioAX96,
                sqrtRatioBX96
            ) / sqrtRatioAX96;
    }

    /// @notice Computes the amount of token1 for a given amount of liquidity and a price range
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The liquidity being valued
    /// @return amount1 The amount1
    function getAmount1ForLiquidity(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity
    ) internal pure returns (uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96)
            (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);

        return
            FullMath.mulDiv(
                liquidity,
                sqrtRatioBX96 - sqrtRatioAX96,
                FixedPoint96.Q96
            );
    }

    /// @notice Computes the token0 and token1 value for a given amount of liquidity, the current
    /// pool prices and the prices at the tick boundaries
    function getAmountsForLiquidity(
        uint160 sqrtRatioX96,
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity
    ) internal pure returns (uint256 amount0, uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96)
            (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);

        if (sqrtRatioX96 <= sqrtRatioAX96) {
            amount0 = getAmount0ForLiquidity(
                sqrtRatioAX96,
                sqrtRatioBX96,
                liquidity
            );
        } else if (sqrtRatioX96 < sqrtRatioBX96) {
            amount0 = getAmount0ForLiquidity(
                sqrtRatioX96,
                sqrtRatioBX96,
                liquidity
            );
            amount1 = getAmount1ForLiquidity(
                sqrtRatioAX96,
                sqrtRatioX96,
                liquidity
            );
        } else {
            amount1 = getAmount1ForLiquidity(
                sqrtRatioAX96,
                sqrtRatioBX96,
                liquidity
            );
        }
    }
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.8.0;

/// @title Math library for computing sqrt prices from ticks and vice versa
/// @notice Computes sqrt price for ticks of size 1.0001, i.e. sqrt(1.0001^tick) as fixed point Q64.96 numbers. Supports
/// prices between 2**-128 and 2**128
library TickMath {
    /// @dev The minimum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**-128
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtRatioAtTick computed from log base 1.0001 of 2**128
    int24 internal constant MAX_TICK = -MIN_TICK;

    /// @dev The minimum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_RATIO = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtRatioAtTick. Equivalent to getSqrtRatioAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_RATIO =
        1461446703485210103287273052203988822378723970342;

    /// @notice Calculates sqrt(1.0001^tick) * 2^96
    /// @dev Throws if |tick| > max tick
    /// @param tick The input tick for the above formula
    /// @return sqrtPriceX96 A Fixed point Q64.96 number representing the sqrt of the ratio of the two assets (token1/token0)
    /// at the given tick
    function getSqrtRatioAtTick(int24 tick)
        internal
        pure
        returns (uint160 sqrtPriceX96)
    {
        uint256 absTick = tick < 0
            ? uint256(-int256(tick))
            : uint256(int256(tick));

        // EDIT: 0.8 compatibility
        require(absTick <= uint256(int256(MAX_TICK)), "T");

        uint256 ratio = absTick & 0x1 != 0
            ? 0xfffcb933bd6fad37aa2d162d1a594001
            : 0x100000000000000000000000000000000;
        if (absTick & 0x2 != 0)
            ratio = (ratio * 0xfff97272373d413259a46990580e213a) >> 128;
        if (absTick & 0x4 != 0)
            ratio = (ratio * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
        if (absTick & 0x8 != 0)
            ratio = (ratio * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
        if (absTick & 0x10 != 0)
            ratio = (ratio * 0xffcb9843d60f6159c9db58835c926644) >> 128;
        if (absTick & 0x20 != 0)
            ratio = (ratio * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
        if (absTick & 0x40 != 0)
            ratio = (ratio * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
        if (absTick & 0x80 != 0)
            ratio = (ratio * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
        if (absTick & 0x100 != 0)
            ratio = (ratio * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
        if (absTick & 0x200 != 0)
            ratio = (ratio * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
        if (absTick & 0x400 != 0)
            ratio = (ratio * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
        if (absTick & 0x800 != 0)
            ratio = (ratio * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
        if (absTick & 0x1000 != 0)
            ratio = (ratio * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
        if (absTick & 0x2000 != 0)
            ratio = (ratio * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
        if (absTick & 0x4000 != 0)
            ratio = (ratio * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
        if (absTick & 0x8000 != 0)
            ratio = (ratio * 0x31be135f97d08fd981231505542fcfa6) >> 128;
        if (absTick & 0x10000 != 0)
            ratio = (ratio * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
        if (absTick & 0x20000 != 0)
            ratio = (ratio * 0x5d6af8dedb81196699c329225ee604) >> 128;
        if (absTick & 0x40000 != 0)
            ratio = (ratio * 0x2216e584f5fa1ea926041bedfe98) >> 128;
        if (absTick & 0x80000 != 0)
            ratio = (ratio * 0x48a170391f7dc42444e8fa2) >> 128;

        if (tick > 0) ratio = type(uint256).max / ratio;

        // this divides by 1<<32 rounding up to go from a Q128.128 to a Q128.96.
        // we then downcast because we know the result always fits within 160 bits due to our tick input constraint
        // we round up in the division so getTickAtSqrtRatio of the output price is always consistent
        sqrtPriceX96 = uint160(
            (ratio >> 32) + (ratio % (1 << 32) == 0 ? 0 : 1)
        );
    }

    /// @notice Calculates the greatest tick value such that getRatioAtTick(tick) <= ratio
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_RATIO, as MIN_SQRT_RATIO is the lowest value getRatioAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt ratio for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the ratio is less than or equal to the input ratio
    function getTickAtSqrtRatio(uint160 sqrtPriceX96)
        internal
        pure
        returns (int24 tick)
    {
        // second inequality must be < because the price can never reach the price at the max tick
        require(
            sqrtPriceX96 >= MIN_SQRT_RATIO && sqrtPriceX96 < MAX_SQRT_RATIO,
            "R"
        );
        uint256 ratio = uint256(sqrtPriceX96) << 32;

        uint256 r = ratio;
        uint256 msb = 0;

        assembly {
            let f := shl(7, gt(r, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(6, gt(r, 0xFFFFFFFFFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(5, gt(r, 0xFFFFFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(4, gt(r, 0xFFFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(3, gt(r, 0xFF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(2, gt(r, 0xF))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := shl(1, gt(r, 0x3))
            msb := or(msb, f)
            r := shr(f, r)
        }
        assembly {
            let f := gt(r, 0x1)
            msb := or(msb, f)
        }

        if (msb >= 128) r = ratio >> (msb - 127);
        else r = ratio << (127 - msb);

        int256 log_2 = (int256(msb) - 128) << 64;

        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(63, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(62, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(61, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(60, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(59, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(58, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(57, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(56, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(55, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(54, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(53, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(52, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(51, f))
            r := shr(f, r)
        }
        assembly {
            r := shr(127, mul(r, r))
            let f := shr(128, r)
            log_2 := or(log_2, shl(50, f))
        }

        int256 log_sqrt10001 = log_2 * 255738958999603826347141; // 128.128 number

        int24 tickLow = int24(
            (log_sqrt10001 - 3402992956809132418596140100660247210) >> 128
        );
        int24 tickHi = int24(
            (log_sqrt10001 + 291339464771989622907027621153398088495) >> 128
        );

        tick = tickLow == tickHi
            ? tickLow
            : getSqrtRatioAtTick(tickHi) <= sqrtPriceX96
            ? tickHi
            : tickLow;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/structs/EnumerableSet.sol)
// This file was procedurally generated from scripts/generate/templates/EnumerableSet.js.

pragma solidity ^0.8.0;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```solidity
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 *
 * [WARNING]
 * ====
 * Trying to delete such a structure from storage will likely result in data corruption, rendering the structure
 * unusable.
 * See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 * In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an
 * array of EnumerableSet.
 * ====
 */
library EnumerableSet {
    // To implement this library for multiple types with as little code
    // repetition as possible, we write it in terms of a generic Set type with
    // bytes32 values.
    // The Set implementation uses private functions, and user-facing
    // implementations (such as AddressSet) are just wrappers around the
    // underlying Set.
    // This means that we can only create new EnumerableSets for types that fit
    // in bytes32.

    struct Set {
        // Storage of set values
        bytes32[] _values;
        // Position of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping(bytes32 => uint256) _indexes;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function _add(Set storage set, bytes32 value) private returns (bool) {
        if (!_contains(set, value)) {
            set._values.push(value);
            // The value is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            set._indexes[value] = set._values.length;
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function _remove(Set storage set, bytes32 value) private returns (bool) {
        // We read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 0) {
            // Equivalent to contains(set, value)
            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
            // the array, and then remove the last element (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            if (lastIndex != toDeleteIndex) {
                bytes32 lastValue = set._values[lastIndex];

                // Move the last value to the index where the value to delete is
                set._values[toDeleteIndex] = lastValue;
                // Update the index for the moved value
                set._indexes[lastValue] = valueIndex; // Replace lastValue's index to valueIndex
            }

            // Delete the slot where the moved value was stored
            set._values.pop();

            // Delete the index for the deleted slot
            delete set._indexes[value];

            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function _contains(Set storage set, bytes32 value) private view returns (bool) {
        return set._indexes[value] != 0;
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function _length(Set storage set) private view returns (uint256) {
        return set._values.length;
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function _at(Set storage set, uint256 index) private view returns (bytes32) {
        return set._values[index];
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function _values(Set storage set) private view returns (bytes32[] memory) {
        return set._values;
    }

    // Bytes32Set

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
        return _at(set._inner, index);
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {
        bytes32[] memory store = _values(set._inner);
        bytes32[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // AddressSet

    struct AddressSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(AddressSet storage set, address value) internal returns (bool) {
        return _add(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(AddressSet storage set, address value) internal returns (bool) {
        return _remove(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(AddressSet storage set, address value) internal view returns (bool) {
        return _contains(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(AddressSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(AddressSet storage set, uint256 index) internal view returns (address) {
        return address(uint160(uint256(_at(set._inner, index))));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(AddressSet storage set) internal view returns (address[] memory) {
        bytes32[] memory store = _values(set._inner);
        address[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(UintSet storage set) internal view returns (uint256[] memory) {
        bytes32[] memory store = _values(set._inner);
        uint256[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (security/Pausable.sol)

pragma solidity ^0.8.0;

import "../utils/ContextUpgradeable.sol";
import {Initializable} from "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module which allows children to implement an emergency stop
 * mechanism that can be triggered by an authorized account.
 *
 * This module is used through inheritance. It will make available the
 * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
 * the functions of your contract. Note that they will not be pausable by
 * simply including this module, only once the modifiers are put in place.
 */
abstract contract PausableUpgradeable is Initializable, ContextUpgradeable {
    /**
     * @dev Emitted when the pause is triggered by `account`.
     */
    event Paused(address account);

    /**
     * @dev Emitted when the pause is lifted by `account`.
     */
    event Unpaused(address account);

    bool private _paused;

    /**
     * @dev Initializes the contract in unpaused state.
     */
    function __Pausable_init() internal onlyInitializing {
        __Pausable_init_unchained();
    }

    function __Pausable_init_unchained() internal onlyInitializing {
        _paused = false;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is not paused.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    modifier whenNotPaused() {
        _requireNotPaused();
        _;
    }

    /**
     * @dev Modifier to make a function callable only when the contract is paused.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    modifier whenPaused() {
        _requirePaused();
        _;
    }

    /**
     * @dev Returns true if the contract is paused, and false otherwise.
     */
    function paused() public view virtual returns (bool) {
        return _paused;
    }

    /**
     * @dev Throws if the contract is paused.
     */
    function _requireNotPaused() internal view virtual {
        require(!paused(), "Pausable: paused");
    }

    /**
     * @dev Throws if the contract is not paused.
     */
    function _requirePaused() internal view virtual {
        require(paused(), "Pausable: not paused");
    }

    /**
     * @dev Triggers stopped state.
     *
     * Requirements:
     *
     * - The contract must not be paused.
     */
    function _pause() internal virtual whenNotPaused {
        _paused = true;
        emit Paused(_msgSender());
    }

    /**
     * @dev Returns to normal state.
     *
     * Requirements:
     *
     * - The contract must be paused.
     */
    function _unpause() internal virtual whenPaused {
        _paused = false;
        emit Unpaused(_msgSender());
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

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

pragma solidity ^0.8.0;
import {Initializable} from "../proxy/utils/Initializable.sol";

/**
 * @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 ReentrancyGuardUpgradeable is Initializable {
    // 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;

    function __ReentrancyGuard_init() internal onlyInitializing {
        __ReentrancyGuard_init_unchained();
    }

    function __ReentrancyGuard_init_unchained() internal onlyInitializing {
        _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;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[49] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.3) (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. Meant to be used with tokens that require the approval
     * to be set to zero before setting it to a non-zero value, such as USDT.
     */
    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 v4.8.0) (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: 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) (utils/math/Math.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard math utilities missing in the Solidity language.
 */
library Math {
    enum Rounding {
        Down, // Toward negative infinity
        Up, // Toward infinity
        Zero // Toward zero
    }

    /**
     * @dev Returns the largest of two numbers.
     */
    function max(uint256 a, uint256 b) internal pure returns (uint256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow.
        return (a & b) + (a ^ b) / 2;
    }

    /**
     * @dev Returns the ceiling of the division of two numbers.
     *
     * This differs from standard division with `/` in that it rounds up instead
     * of rounding down.
     */
    function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b - 1) / b can overflow on addition, so we distribute.
        return a == 0 ? 0 : (a - 1) / b + 1;
    }

    /**
     * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
     * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)
     * with further edits by Uniswap Labs also under MIT license.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        unchecked {
            // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
            // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
            // variables such that product = prod1 * 2^256 + prod0.
            uint256 prod0; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly {
                let mm := mulmod(x, y, not(0))
                prod0 := mul(x, y)
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }

            // Handle non-overflow cases, 256 by 256 division.
            if (prod1 == 0) {
                // Solidity will revert if denominator == 0, unlike the div opcode on its own.
                // The surrounding unchecked block does not change this fact.
                // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.
                return prod0 / denominator;
            }

            // Make sure the result is less than 2^256. Also prevents denominator == 0.
            require(denominator > prod1, "Math: mulDiv overflow");

            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////

            // Make division exact by subtracting the remainder from [prod1 prod0].
            uint256 remainder;
            assembly {
                // Compute remainder using mulmod.
                remainder := mulmod(x, y, denominator)

                // Subtract 256 bit number from 512 bit number.
                prod1 := sub(prod1, gt(remainder, prod0))
                prod0 := sub(prod0, remainder)
            }

            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.
            // See https://cs.stackexchange.com/q/138556/92363.

            // Does not overflow because the denominator cannot be zero at this stage in the function.
            uint256 twos = denominator & (~denominator + 1);
            assembly {
                // Divide denominator by twos.
                denominator := div(denominator, twos)

                // Divide [prod1 prod0] by twos.
                prod0 := div(prod0, twos)

                // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.
                twos := add(div(sub(0, twos), twos), 1)
            }

            // Shift in bits from prod1 into prod0.
            prod0 |= prod1 * twos;

            // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such
            // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for
            // four bits. That is, denominator * inv = 1 mod 2^4.
            uint256 inverse = (3 * denominator) ^ 2;

            // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works
            // in modular arithmetic, doubling the correct bits in each step.
            inverse *= 2 - denominator * inverse; // inverse mod 2^8
            inverse *= 2 - denominator * inverse; // inverse mod 2^16
            inverse *= 2 - denominator * inverse; // inverse mod 2^32
            inverse *= 2 - denominator * inverse; // inverse mod 2^64
            inverse *= 2 - denominator * inverse; // inverse mod 2^128
            inverse *= 2 - denominator * inverse; // inverse mod 2^256

            // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.
            // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is
            // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1
            // is no longer required.
            result = prod0 * inverse;
            return result;
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.
     */
    function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {
        uint256 result = mulDiv(x, y, denominator);
        if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {
            result += 1;
        }
        return result;
    }

    /**
     * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.
     *
     * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11).
     */
    function sqrt(uint256 a) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }

        // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.
        //
        // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have
        // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.
        //
        // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`
        // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`
        // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`
        //
        // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.
        uint256 result = 1 << (log2(a) >> 1);

        // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,
        // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at
        // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision
        // into the expected uint128 result.
        unchecked {
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            result = (result + a / result) >> 1;
            return min(result, a / result);
        }
    }

    /**
     * @notice Calculates sqrt(a), following the selected rounding direction.
     */
    function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = sqrt(a);
            return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 2, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 128;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 64;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 32;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 16;
            }
            if (value >> 8 > 0) {
                value >>= 8;
                result += 8;
            }
            if (value >> 4 > 0) {
                value >>= 4;
                result += 4;
            }
            if (value >> 2 > 0) {
                value >>= 2;
                result += 2;
            }
            if (value >> 1 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 2, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log2(value);
            return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 10, rounded down, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >= 10 ** 64) {
                value /= 10 ** 64;
                result += 64;
            }
            if (value >= 10 ** 32) {
                value /= 10 ** 32;
                result += 32;
            }
            if (value >= 10 ** 16) {
                value /= 10 ** 16;
                result += 16;
            }
            if (value >= 10 ** 8) {
                value /= 10 ** 8;
                result += 8;
            }
            if (value >= 10 ** 4) {
                value /= 10 ** 4;
                result += 4;
            }
            if (value >= 10 ** 2) {
                value /= 10 ** 2;
                result += 2;
            }
            if (value >= 10 ** 1) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 10, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log10(value);
            return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);
        }
    }

    /**
     * @dev Return the log in base 256, rounded down, of a positive value.
     * Returns 0 if given 0.
     *
     * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.
     */
    function log256(uint256 value) internal pure returns (uint256) {
        uint256 result = 0;
        unchecked {
            if (value >> 128 > 0) {
                value >>= 128;
                result += 16;
            }
            if (value >> 64 > 0) {
                value >>= 64;
                result += 8;
            }
            if (value >> 32 > 0) {
                value >>= 32;
                result += 4;
            }
            if (value >> 16 > 0) {
                value >>= 16;
                result += 2;
            }
            if (value >> 8 > 0) {
                result += 1;
            }
        }
        return result;
    }

    /**
     * @dev Return the log in base 256, following the selected rounding direction, of a positive value.
     * Returns 0 if given 0.
     */
    function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {
        unchecked {
            uint256 result = log256(value);
            return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);
        }
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC721/IERC721Receiver.sol)

pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721Receiver {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// 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: GPL-2.0-or-later
pragma solidity >=0.4.0;

/// @title FixedPoint96
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
/// @dev Used in SqrtPriceMath.sol
library FixedPoint96 {
    uint8 internal constant RESOLUTION = 96;
    uint256 internal constant Q96 = 0x1000000000000000000000000;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.4) (utils/Context.sol)

pragma solidity ^0.8.0;
import {Initializable} from "../proxy/utils/Initializable.sol";

/**
 * @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 ContextUpgradeable is Initializable {
    function __Context_init() internal onlyInitializing {
    }

    function __Context_init_unchained() internal onlyInitializing {
    }
    function _msgSender() internal view virtual returns (address) {
        return msg.sender;
    }

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

    function _contextSuffixLength() internal view virtual returns (uint256) {
        return 0;
    }

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[50] private __gap;
}

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

pragma solidity ^0.8.2;

import "../../utils/AddressUpgradeable.sol";

/**
 * @dev This is a base contract to aid in writing upgradeable contracts, or any kind of contract that will be deployed
 * behind a proxy. Since proxied contracts do not make use of a constructor, it's common to move constructor logic to an
 * external initializer function, usually called `initialize`. It then becomes necessary to protect this initializer
 * function so it can only be called once. The {initializer} modifier provided by this contract will have this effect.
 *
 * The initialization functions use a version number. Once a version number is used, it is consumed and cannot be
 * reused. This mechanism prevents re-execution of each "step" but allows the creation of new initialization steps in
 * case an upgrade adds a module that needs to be initialized.
 *
 * For example:
 *
 * [.hljs-theme-light.nopadding]
 * ```solidity
 * contract MyToken is ERC20Upgradeable {
 *     function initialize() initializer public {
 *         __ERC20_init("MyToken", "MTK");
 *     }
 * }
 *
 * contract MyTokenV2 is MyToken, ERC20PermitUpgradeable {
 *     function initializeV2() reinitializer(2) public {
 *         __ERC20Permit_init("MyToken");
 *     }
 * }
 * ```
 *
 * TIP: To avoid leaving the proxy in an uninitialized state, the initializer function should be called as early as
 * possible by providing the encoded function call as the `_data` argument to {ERC1967Proxy-constructor}.
 *
 * CAUTION: When used with inheritance, manual care must be taken to not invoke a parent initializer twice, or to ensure
 * that all initializers are idempotent. This is not verified automatically as constructors are by Solidity.
 *
 * [CAUTION]
 * ====
 * Avoid leaving a contract uninitialized.
 *
 * An uninitialized contract can be taken over by an attacker. This applies to both a proxy and its implementation
 * contract, which may impact the proxy. To prevent the implementation contract from being used, you should invoke
 * the {_disableInitializers} function in the constructor to automatically lock it when it is deployed:
 *
 * [.hljs-theme-light.nopadding]
 * ```
 * /// @custom:oz-upgrades-unsafe-allow constructor
 * constructor() {
 *     _disableInitializers();
 * }
 * ```
 * ====
 */
abstract contract Initializable {
    /**
     * @dev Indicates that the contract has been initialized.
     * @custom:oz-retyped-from bool
     */
    uint8 private _initialized;

    /**
     * @dev Indicates that the contract is in the process of being initialized.
     */
    bool private _initializing;

    /**
     * @dev Triggered when the contract has been initialized or reinitialized.
     */
    event Initialized(uint8 version);

    /**
     * @dev A modifier that defines a protected initializer function that can be invoked at most once. In its scope,
     * `onlyInitializing` functions can be used to initialize parent contracts.
     *
     * Similar to `reinitializer(1)`, except that functions marked with `initializer` can be nested in the context of a
     * constructor.
     *
     * Emits an {Initialized} event.
     */
    modifier initializer() {
        bool isTopLevelCall = !_initializing;
        require(
            (isTopLevelCall && _initialized < 1) || (!AddressUpgradeable.isContract(address(this)) && _initialized == 1),
            "Initializable: contract is already initialized"
        );
        _initialized = 1;
        if (isTopLevelCall) {
            _initializing = true;
        }
        _;
        if (isTopLevelCall) {
            _initializing = false;
            emit Initialized(1);
        }
    }

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * A reinitializer may be used after the original initialization step. This is essential to configure modules that
     * are added through upgrades and that require initialization.
     *
     * When `version` is 1, this modifier is similar to `initializer`, except that functions marked with `reinitializer`
     * cannot be nested. If one is invoked in the context of another, execution will revert.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     *
     * WARNING: setting the version to 255 will prevent any future reinitialization.
     *
     * Emits an {Initialized} event.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

    /**
     * @dev Modifier to protect an initialization function so that it can only be invoked by functions with the
     * {initializer} and {reinitializer} modifiers, directly or indirectly.
     */
    modifier onlyInitializing() {
        require(_initializing, "Initializable: contract is not initializing");
        _;
    }

    /**
     * @dev Locks the contract, preventing any future reinitialization. This cannot be part of an initializer call.
     * Calling this in the constructor of a contract will prevent that contract from being initialized or reinitialized
     * to any version. It is recommended to use this to lock implementation contracts that are designed to be called
     * through proxies.
     *
     * Emits an {Initialized} event the first time it is successfully executed.
     */
    function _disableInitializers() internal virtual {
        require(!_initializing, "Initializable: contract is initializing");
        if (_initialized != type(uint8).max) {
            _initialized = type(uint8).max;
            emit Initialized(type(uint8).max);
        }
    }

    /**
     * @dev Returns the highest version that has been initialized. See {reinitializer}.
     */
    function _getInitializedVersion() internal view returns (uint8) {
        return _initialized;
    }

    /**
     * @dev Returns `true` if the contract is currently initializing. See {onlyInitializing}.
     */
    function _isInitializing() internal view returns (bool) {
        return _initializing;
    }
}

// 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 (last updated v4.9.4) (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.
 *
 * ==== Security Considerations
 *
 * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
 * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
 * considered as an intention to spend the allowance in any specific way. The second is that because permits have
 * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
 * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
 * generally recommended is:
 *
 * ```solidity
 * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
 *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
 *     doThing(..., value);
 * }
 *
 * function doThing(..., uint256 value) public {
 *     token.safeTransferFrom(msg.sender, address(this), value);
 *     ...
 * }
 * ```
 *
 * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
 * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
 * {SafeERC20-safeTransferFrom}).
 *
 * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
 * contracts should have entry points that don't rely on permit.
 */
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].
     *
     * CAUTION: See Security Considerations above.
     */
    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 AddressUpgradeable {
    /**
     * @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);
        }
    }
}

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    "@create3/contracts/=lib/create3/contracts/",
    "@v3-lib-0.8/contracts/=lib/v3-lib-0.8/contracts/",
    "forge-std/=lib/forge-std/src/",
    "@valantis-hot/contracts/=lib/valantis-hot/src/",
    "@valantis-core/contracts/=lib/valantis-hot/lib/valantis-core/src/",
    "@valantis-hot/contracts-test/=lib/valantis-hot/test/",
    "@uniswap/v4-core/=lib/v4-periphery/lib/v4-core/",
    "@uniswap/v4-periphery/=lib/v4-periphery/",
    "@ensdomains/=lib/v4-periphery/lib/v4-core/node_modules/@ensdomains/",
    "@uniswap/v3-core/=lib/valantis-hot/lib/v3-core/",
    "@uniswap/v3-periphery/=lib/valantis-hot/lib/v3-periphery/",
    "create3/=lib/create3/contracts/",
    "doppler-hook/=lib/doppler-hook/src/",
    "ds-test/=lib/forge-std/lib/ds-test/src/",
    "erc4626-tests/=lib/openzeppelin-contracts-upgradeable/lib/erc4626-tests/",
    "forge-gas-snapshot/=lib/v4-periphery/lib/forge-gas-snapshot/src/",
    "hardhat/=lib/v4-periphery/lib/v4-core/node_modules/hardhat/",
    "openzeppelin-contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/",
    "openzeppelin/=lib/openzeppelin-contracts-upgradeable/contracts/",
    "permit2/=lib/v4-periphery/lib/permit2/",
    "solady/=lib/solady/",
    "solmate/=lib/v4-periphery/lib/v4-core/lib/solmate/",
    "v3-core/=lib/valantis-hot/lib/v3-core/contracts/",
    "v3-lib-0.8/=lib/v3-lib-0.8/contracts/",
    "v3-periphery/=lib/valantis-hot/lib/v3-periphery/contracts/",
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    "v4-periphery/=lib/v4-periphery/",
    "valantis-core/=lib/valantis-hot/lib/valantis-core/",
    "valantis-hot/=lib/valantis-hot/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "ipfs",
    "appendCBOR": true
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
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      ]
    }
  },
  "evmVersion": "cancun",
  "viaIR": false,
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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IERC20Metadata","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"tokenIds","outputs":[{"internalType":"uint256[]","name":"","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"totalUnderlying","outputs":[{"internalType":"uint256","name":"amount0","type":"uint256"},{"internalType":"uint256","name":"amount1","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint160","name":"priceX96_","type":"uint160"}],"name":"totalUnderlyingAtPrice","outputs":[{"internalType":"uint256","name":"amount0","type":"uint256"},{"internalType":"uint256","name":"amount1","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"unpause","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract IOracleWrapper","name":"oracle_","type":"address"},{"internalType":"uint24","name":"maxDeviation_","type":"uint24"}],"name":"validateRebalance","outputs":[],"stateMutability":"view","type":"function"},{"inputs":[],"name":"voter","outputs":[{"internalType":"contract IVoter","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"receiver_","type":"address"},{"internalType":"uint256","name":"proportion_","type":"uint256"}],"name":"withdraw","outputs":[{"internalType":"uint256","name":"amount0","type":"uint256"},{"internalType":"uint256","name":"amount1","type":"uint256"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"withdrawManagerBalance","outputs":[{"internalType":"uint256","name":"amount0","type":"uint256"},{"internalType":"uint256","name":"amount1","type":"uint256"}],"stateMutability":"nonpayable","type":"function"}]

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000000000000000000000000827922686190790b37229fd06084350e74485b720000000000000000000000005e7bb104d84c7cb9b682aac2f3d509f5f406809a00000000000000000000000016613524e02ad97edfef371bc883f2f5d6c480a50000000000000000000000006f441151b478e0d60588f221f1a35bcc3f7ab981

-----Decoded View---------------
Arg [0] : nftPositionManager_ (address): 0x827922686190790b37229fd06084350E74485b72
Arg [1] : factory_ (address): 0x5e7BB104d84c7CB9B682AaC2F3d509f5F406809A
Arg [2] : voter_ (address): 0x16613524e02ad97eDfeF371bC883F2F5d6C480A5
Arg [3] : guardian_ (address): 0x6F441151B478E0d60588f221f1A35BcC3f7aB981

-----Encoded View---------------
4 Constructor Arguments found :
Arg [0] : 000000000000000000000000827922686190790b37229fd06084350e74485b72
Arg [1] : 0000000000000000000000005e7bb104d84c7cb9b682aac2f3d509f5f406809a
Arg [2] : 00000000000000000000000016613524e02ad97edfef371bc883f2f5d6c480a5
Arg [3] : 0000000000000000000000006f441151b478e0d60588f221f1a35bcc3f7ab981