// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.19;
import {
    Id,
    IMorphoStaticTyping,
    IMorphoBase,
    MarketParams,
    Position,
    Market,
    Authorization,
    Signature
} from "./interfaces/IMorpho.sol";
import {
    IMorphoLiquidateCallback,
    IMorphoRepayCallback,
    IMorphoSupplyCallback,
    IMorphoSupplyCollateralCallback,
    IMorphoFlashLoanCallback
} from "./interfaces/IMorphoCallbacks.sol";
import {IIrm} from "./interfaces/IIrm.sol";
import {IERC20} from "./interfaces/IERC20.sol";
import {IOracle} from "./interfaces/IOracle.sol";
import "./libraries/ConstantsLib.sol";
import {UtilsLib} from "./libraries/UtilsLib.sol";
import {EventsLib} from "./libraries/EventsLib.sol";
import {ErrorsLib} from "./libraries/ErrorsLib.sol";
import {MathLib, WAD} from "./libraries/MathLib.sol";
import {SharesMathLib} from "./libraries/SharesMathLib.sol";
import {MarketParamsLib} from "./libraries/MarketParamsLib.sol";
import {SafeTransferLib} from "./libraries/SafeTransferLib.sol";
/// @title Morpho
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice The Morpho contract.
contract Morpho is IMorphoStaticTyping {
    using MathLib for uint128;
    using MathLib for uint256;
    using UtilsLib for uint256;
    using SharesMathLib for uint256;
    using SafeTransferLib for IERC20;
    using MarketParamsLib for MarketParams;
    /* IMMUTABLES */
    /// @inheritdoc IMorphoBase
    bytes32 public immutable DOMAIN_SEPARATOR;
    /* STORAGE */
    /// @inheritdoc IMorphoBase
    address public owner;
    /// @inheritdoc IMorphoBase
    address public feeRecipient;
    /// @inheritdoc IMorphoStaticTyping
    mapping(Id => mapping(address => Position)) public position;
    /// @inheritdoc IMorphoStaticTyping
    mapping(Id => Market) public market;
    /// @inheritdoc IMorphoBase
    mapping(address => bool) public isIrmEnabled;
    /// @inheritdoc IMorphoBase
    mapping(uint256 => bool) public isLltvEnabled;
    /// @inheritdoc IMorphoBase
    mapping(address => mapping(address => bool)) public isAuthorized;
    /// @inheritdoc IMorphoBase
    mapping(address => uint256) public nonce;
    /// @inheritdoc IMorphoStaticTyping
    mapping(Id => MarketParams) public idToMarketParams;
    /* CONSTRUCTOR */
    /// @param newOwner The new owner of the contract.
    constructor(address newOwner) {
        require(newOwner != address(0), ErrorsLib.ZERO_ADDRESS);
        DOMAIN_SEPARATOR = keccak256(abi.encode(DOMAIN_TYPEHASH, block.chainid, address(this)));
        owner = newOwner;
        emit EventsLib.SetOwner(newOwner);
    }
    /* MODIFIERS */
    /// @dev Reverts if the caller is not the owner.
    modifier onlyOwner() {
        require(msg.sender == owner, ErrorsLib.NOT_OWNER);
        _;
    }
    /* ONLY OWNER FUNCTIONS */
    /// @inheritdoc IMorphoBase
    function setOwner(address newOwner) external onlyOwner {
        require(newOwner != owner, ErrorsLib.ALREADY_SET);
        owner = newOwner;
        emit EventsLib.SetOwner(newOwner);
    }
    /// @inheritdoc IMorphoBase
    function enableIrm(address irm) external onlyOwner {
        require(!isIrmEnabled[irm], ErrorsLib.ALREADY_SET);
        isIrmEnabled[irm] = true;
        emit EventsLib.EnableIrm(irm);
    }
    /// @inheritdoc IMorphoBase
    function enableLltv(uint256 lltv) external onlyOwner {
        require(!isLltvEnabled[lltv], ErrorsLib.ALREADY_SET);
        require(lltv < WAD, ErrorsLib.MAX_LLTV_EXCEEDED);
        isLltvEnabled[lltv] = true;
        emit EventsLib.EnableLltv(lltv);
    }
    /// @inheritdoc IMorphoBase
    function setFee(MarketParams memory marketParams, uint256 newFee) external onlyOwner {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(newFee != market[id].fee, ErrorsLib.ALREADY_SET);
        require(newFee <= MAX_FEE, ErrorsLib.MAX_FEE_EXCEEDED);
        // Accrue interest using the previous fee set before changing it.
        _accrueInterest(marketParams, id);
        // Safe "unchecked" cast.
        market[id].fee = uint128(newFee);
        emit EventsLib.SetFee(id, newFee);
    }
    /// @inheritdoc IMorphoBase
    function setFeeRecipient(address newFeeRecipient) external onlyOwner {
        require(newFeeRecipient != feeRecipient, ErrorsLib.ALREADY_SET);
        feeRecipient = newFeeRecipient;
        emit EventsLib.SetFeeRecipient(newFeeRecipient);
    }
    /* MARKET CREATION */
    /// @inheritdoc IMorphoBase
    function createMarket(MarketParams memory marketParams) external {
        Id id = marketParams.id();
        require(isIrmEnabled[marketParams.irm], ErrorsLib.IRM_NOT_ENABLED);
        require(isLltvEnabled[marketParams.lltv], ErrorsLib.LLTV_NOT_ENABLED);
        require(market[id].lastUpdate == 0, ErrorsLib.MARKET_ALREADY_CREATED);
        // Safe "unchecked" cast.
        market[id].lastUpdate = uint128(block.timestamp);
        idToMarketParams[id] = marketParams;
        emit EventsLib.CreateMarket(id, marketParams);
        // Call to initialize the IRM in case it is stateful.
        if (marketParams.irm != address(0)) IIrm(marketParams.irm).borrowRate(marketParams, market[id]);
    }
    /* SUPPLY MANAGEMENT */
    /// @inheritdoc IMorphoBase
    function supply(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        bytes calldata data
    ) external returns (uint256, uint256) {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(UtilsLib.exactlyOneZero(assets, shares), ErrorsLib.INCONSISTENT_INPUT);
        require(onBehalf != address(0), ErrorsLib.ZERO_ADDRESS);
        _accrueInterest(marketParams, id);
        if (assets > 0) shares = assets.toSharesDown(market[id].totalSupplyAssets, market[id].totalSupplyShares);
        else assets = shares.toAssetsUp(market[id].totalSupplyAssets, market[id].totalSupplyShares);
        position[id][onBehalf].supplyShares += shares;
        market[id].totalSupplyShares += shares.toUint128();
        market[id].totalSupplyAssets += assets.toUint128();
        emit EventsLib.Supply(id, msg.sender, onBehalf, assets, shares);
        if (data.length > 0) IMorphoSupplyCallback(msg.sender).onMorphoSupply(assets, data);
        IERC20(marketParams.loanToken).safeTransferFrom(msg.sender, address(this), assets);
        return (assets, shares);
    }
    /// @inheritdoc IMorphoBase
    function withdraw(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        address receiver
    ) external returns (uint256, uint256) {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(UtilsLib.exactlyOneZero(assets, shares), ErrorsLib.INCONSISTENT_INPUT);
        require(receiver != address(0), ErrorsLib.ZERO_ADDRESS);
        // No need to verify that onBehalf != address(0) thanks to the following authorization check.
        require(_isSenderAuthorized(onBehalf), ErrorsLib.UNAUTHORIZED);
        _accrueInterest(marketParams, id);
        if (assets > 0) shares = assets.toSharesUp(market[id].totalSupplyAssets, market[id].totalSupplyShares);
        else assets = shares.toAssetsDown(market[id].totalSupplyAssets, market[id].totalSupplyShares);
        position[id][onBehalf].supplyShares -= shares;
        market[id].totalSupplyShares -= shares.toUint128();
        market[id].totalSupplyAssets -= assets.toUint128();
        require(market[id].totalBorrowAssets <= market[id].totalSupplyAssets, ErrorsLib.INSUFFICIENT_LIQUIDITY);
        emit EventsLib.Withdraw(id, msg.sender, onBehalf, receiver, assets, shares);
        IERC20(marketParams.loanToken).safeTransfer(receiver, assets);
        return (assets, shares);
    }
    /* BORROW MANAGEMENT */
    /// @inheritdoc IMorphoBase
    function borrow(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        address receiver
    ) external returns (uint256, uint256) {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(UtilsLib.exactlyOneZero(assets, shares), ErrorsLib.INCONSISTENT_INPUT);
        require(receiver != address(0), ErrorsLib.ZERO_ADDRESS);
        // No need to verify that onBehalf != address(0) thanks to the following authorization check.
        require(_isSenderAuthorized(onBehalf), ErrorsLib.UNAUTHORIZED);
        _accrueInterest(marketParams, id);
        if (assets > 0) shares = assets.toSharesUp(market[id].totalBorrowAssets, market[id].totalBorrowShares);
        else assets = shares.toAssetsDown(market[id].totalBorrowAssets, market[id].totalBorrowShares);
        position[id][onBehalf].borrowShares += shares.toUint128();
        market[id].totalBorrowShares += shares.toUint128();
        market[id].totalBorrowAssets += assets.toUint128();
        require(_isHealthy(marketParams, id, onBehalf), ErrorsLib.INSUFFICIENT_COLLATERAL);
        require(market[id].totalBorrowAssets <= market[id].totalSupplyAssets, ErrorsLib.INSUFFICIENT_LIQUIDITY);
        emit EventsLib.Borrow(id, msg.sender, onBehalf, receiver, assets, shares);
        IERC20(marketParams.loanToken).safeTransfer(receiver, assets);
        return (assets, shares);
    }
    /// @inheritdoc IMorphoBase
    function repay(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        bytes calldata data
    ) external returns (uint256, uint256) {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(UtilsLib.exactlyOneZero(assets, shares), ErrorsLib.INCONSISTENT_INPUT);
        require(onBehalf != address(0), ErrorsLib.ZERO_ADDRESS);
        _accrueInterest(marketParams, id);
        if (assets > 0) shares = assets.toSharesDown(market[id].totalBorrowAssets, market[id].totalBorrowShares);
        else assets = shares.toAssetsUp(market[id].totalBorrowAssets, market[id].totalBorrowShares);
        position[id][onBehalf].borrowShares -= shares.toUint128();
        market[id].totalBorrowShares -= shares.toUint128();
        market[id].totalBorrowAssets = UtilsLib.zeroFloorSub(market[id].totalBorrowAssets, assets).toUint128();
        // `assets` may be greater than `totalBorrowAssets` by 1.
        emit EventsLib.Repay(id, msg.sender, onBehalf, assets, shares);
        if (data.length > 0) IMorphoRepayCallback(msg.sender).onMorphoRepay(assets, data);
        IERC20(marketParams.loanToken).safeTransferFrom(msg.sender, address(this), assets);
        return (assets, shares);
    }
    /* COLLATERAL MANAGEMENT */
    /// @inheritdoc IMorphoBase
    function supplyCollateral(MarketParams memory marketParams, uint256 assets, address onBehalf, bytes calldata data)
        external
    {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(assets != 0, ErrorsLib.ZERO_ASSETS);
        require(onBehalf != address(0), ErrorsLib.ZERO_ADDRESS);
        // Don't accrue interest because it's not required and it saves gas.
        position[id][onBehalf].collateral += assets.toUint128();
        emit EventsLib.SupplyCollateral(id, msg.sender, onBehalf, assets);
        if (data.length > 0) IMorphoSupplyCollateralCallback(msg.sender).onMorphoSupplyCollateral(assets, data);
        IERC20(marketParams.collateralToken).safeTransferFrom(msg.sender, address(this), assets);
    }
    /// @inheritdoc IMorphoBase
    function withdrawCollateral(MarketParams memory marketParams, uint256 assets, address onBehalf, address receiver)
        external
    {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(assets != 0, ErrorsLib.ZERO_ASSETS);
        require(receiver != address(0), ErrorsLib.ZERO_ADDRESS);
        // No need to verify that onBehalf != address(0) thanks to the following authorization check.
        require(_isSenderAuthorized(onBehalf), ErrorsLib.UNAUTHORIZED);
        _accrueInterest(marketParams, id);
        position[id][onBehalf].collateral -= assets.toUint128();
        require(_isHealthy(marketParams, id, onBehalf), ErrorsLib.INSUFFICIENT_COLLATERAL);
        emit EventsLib.WithdrawCollateral(id, msg.sender, onBehalf, receiver, assets);
        IERC20(marketParams.collateralToken).safeTransfer(receiver, assets);
    }
    /* LIQUIDATION */
    /// @inheritdoc IMorphoBase
    function liquidate(
        MarketParams memory marketParams,
        address borrower,
        uint256 seizedAssets,
        uint256 repaidShares,
        bytes calldata data
    ) external returns (uint256, uint256) {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        require(UtilsLib.exactlyOneZero(seizedAssets, repaidShares), ErrorsLib.INCONSISTENT_INPUT);
        _accrueInterest(marketParams, id);
        {
            uint256 collateralPrice = IOracle(marketParams.oracle).price();
            require(!_isHealthy(marketParams, id, borrower, collateralPrice), ErrorsLib.HEALTHY_POSITION);
            // The liquidation incentive factor is min(maxLiquidationIncentiveFactor, 1/(1 - cursor*(1 - lltv))).
            uint256 liquidationIncentiveFactor = UtilsLib.min(
                MAX_LIQUIDATION_INCENTIVE_FACTOR,
                WAD.wDivDown(WAD - LIQUIDATION_CURSOR.wMulDown(WAD - marketParams.lltv))
            );
            if (seizedAssets > 0) {
                uint256 seizedAssetsQuoted = seizedAssets.mulDivUp(collateralPrice, ORACLE_PRICE_SCALE);
                repaidShares = seizedAssetsQuoted.wDivUp(liquidationIncentiveFactor).toSharesUp(
                    market[id].totalBorrowAssets, market[id].totalBorrowShares
                );
            } else {
                seizedAssets = repaidShares.toAssetsDown(market[id].totalBorrowAssets, market[id].totalBorrowShares)
                    .wMulDown(liquidationIncentiveFactor).mulDivDown(ORACLE_PRICE_SCALE, collateralPrice);
            }
        }
        uint256 repaidAssets = repaidShares.toAssetsUp(market[id].totalBorrowAssets, market[id].totalBorrowShares);
        position[id][borrower].borrowShares -= repaidShares.toUint128();
        market[id].totalBorrowShares -= repaidShares.toUint128();
        market[id].totalBorrowAssets = UtilsLib.zeroFloorSub(market[id].totalBorrowAssets, repaidAssets).toUint128();
        position[id][borrower].collateral -= seizedAssets.toUint128();
        uint256 badDebtShares;
        uint256 badDebtAssets;
        if (position[id][borrower].collateral == 0) {
            badDebtShares = position[id][borrower].borrowShares;
            badDebtAssets = UtilsLib.min(
                market[id].totalBorrowAssets,
                badDebtShares.toAssetsUp(market[id].totalBorrowAssets, market[id].totalBorrowShares)
            );
            market[id].totalBorrowAssets -= badDebtAssets.toUint128();
            market[id].totalSupplyAssets -= badDebtAssets.toUint128();
            market[id].totalBorrowShares -= badDebtShares.toUint128();
            position[id][borrower].borrowShares = 0;
        }
        // `repaidAssets` may be greater than `totalBorrowAssets` by 1.
        emit EventsLib.Liquidate(
            id, msg.sender, borrower, repaidAssets, repaidShares, seizedAssets, badDebtAssets, badDebtShares
        );
        IERC20(marketParams.collateralToken).safeTransfer(msg.sender, seizedAssets);
        if (data.length > 0) IMorphoLiquidateCallback(msg.sender).onMorphoLiquidate(repaidAssets, data);
        IERC20(marketParams.loanToken).safeTransferFrom(msg.sender, address(this), repaidAssets);
        return (seizedAssets, repaidAssets);
    }
    /* FLASH LOANS */
    /// @inheritdoc IMorphoBase
    function flashLoan(address token, uint256 assets, bytes calldata data) external {
        require(assets != 0, ErrorsLib.ZERO_ASSETS);
        emit EventsLib.FlashLoan(msg.sender, token, assets);
        IERC20(token).safeTransfer(msg.sender, assets);
        IMorphoFlashLoanCallback(msg.sender).onMorphoFlashLoan(assets, data);
        IERC20(token).safeTransferFrom(msg.sender, address(this), assets);
    }
    /* AUTHORIZATION */
    /// @inheritdoc IMorphoBase
    function setAuthorization(address authorized, bool newIsAuthorized) external {
        require(newIsAuthorized != isAuthorized[msg.sender][authorized], ErrorsLib.ALREADY_SET);
        isAuthorized[msg.sender][authorized] = newIsAuthorized;
        emit EventsLib.SetAuthorization(msg.sender, msg.sender, authorized, newIsAuthorized);
    }
    /// @inheritdoc IMorphoBase
    function setAuthorizationWithSig(Authorization memory authorization, Signature calldata signature) external {
        /// Do not check whether authorization is already set because the nonce increment is a desired side effect.
        require(block.timestamp <= authorization.deadline, ErrorsLib.SIGNATURE_EXPIRED);
        require(authorization.nonce == nonce[authorization.authorizer]++, ErrorsLib.INVALID_NONCE);
        bytes32 hashStruct = keccak256(abi.encode(AUTHORIZATION_TYPEHASH, authorization));
        bytes32 digest = keccak256(bytes.concat("\\x19\\x01", DOMAIN_SEPARATOR, hashStruct));
        address signatory = ecrecover(digest, signature.v, signature.r, signature.s);
        require(signatory != address(0) && authorization.authorizer == signatory, ErrorsLib.INVALID_SIGNATURE);
        emit EventsLib.IncrementNonce(msg.sender, authorization.authorizer, authorization.nonce);
        isAuthorized[authorization.authorizer][authorization.authorized] = authorization.isAuthorized;
        emit EventsLib.SetAuthorization(
            msg.sender, authorization.authorizer, authorization.authorized, authorization.isAuthorized
        );
    }
    /// @dev Returns whether the sender is authorized to manage `onBehalf`'s positions.
    function _isSenderAuthorized(address onBehalf) internal view returns (bool) {
        return msg.sender == onBehalf || isAuthorized[onBehalf][msg.sender];
    }
    /* INTEREST MANAGEMENT */
    /// @inheritdoc IMorphoBase
    function accrueInterest(MarketParams memory marketParams) external {
        Id id = marketParams.id();
        require(market[id].lastUpdate != 0, ErrorsLib.MARKET_NOT_CREATED);
        _accrueInterest(marketParams, id);
    }
    /// @dev Accrues interest for the given market `marketParams`.
    /// @dev Assumes that the inputs `marketParams` and `id` match.
    function _accrueInterest(MarketParams memory marketParams, Id id) internal {
        uint256 elapsed = block.timestamp - market[id].lastUpdate;
        if (elapsed == 0) return;
        if (marketParams.irm != address(0)) {
            uint256 borrowRate = IIrm(marketParams.irm).borrowRate(marketParams, market[id]);
            uint256 interest = market[id].totalBorrowAssets.wMulDown(borrowRate.wTaylorCompounded(elapsed));
            market[id].totalBorrowAssets += interest.toUint128();
            market[id].totalSupplyAssets += interest.toUint128();
            uint256 feeShares;
            if (market[id].fee != 0) {
                uint256 feeAmount = interest.wMulDown(market[id].fee);
                // The fee amount is subtracted from the total supply in this calculation to compensate for the fact
                // that total supply is already increased by the full interest (including the fee amount).
                feeShares =
                    feeAmount.toSharesDown(market[id].totalSupplyAssets - feeAmount, market[id].totalSupplyShares);
                position[id][feeRecipient].supplyShares += feeShares;
                market[id].totalSupplyShares += feeShares.toUint128();
            }
            emit EventsLib.AccrueInterest(id, borrowRate, interest, feeShares);
        }
        // Safe "unchecked" cast.
        market[id].lastUpdate = uint128(block.timestamp);
    }
    /* HEALTH CHECK */
    /// @dev Returns whether the position of `borrower` in the given market `marketParams` is healthy.
    /// @dev Assumes that the inputs `marketParams` and `id` match.
    function _isHealthy(MarketParams memory marketParams, Id id, address borrower) internal view returns (bool) {
        if (position[id][borrower].borrowShares == 0) return true;
        uint256 collateralPrice = IOracle(marketParams.oracle).price();
        return _isHealthy(marketParams, id, borrower, collateralPrice);
    }
    /// @dev Returns whether the position of `borrower` in the given market `marketParams` with the given
    /// `collateralPrice` is healthy.
    /// @dev Assumes that the inputs `marketParams` and `id` match.
    /// @dev Rounds in favor of the protocol, so one might not be able to borrow exactly `maxBorrow` but one unit less.
    function _isHealthy(MarketParams memory marketParams, Id id, address borrower, uint256 collateralPrice)
        internal
        view
        returns (bool)
    {
        uint256 borrowed = uint256(position[id][borrower].borrowShares).toAssetsUp(
            market[id].totalBorrowAssets, market[id].totalBorrowShares
        );
        uint256 maxBorrow = uint256(position[id][borrower].collateral).mulDivDown(collateralPrice, ORACLE_PRICE_SCALE)
            .wMulDown(marketParams.lltv);
        return maxBorrow >= borrowed;
    }
    /* STORAGE VIEW */
    /// @inheritdoc IMorphoBase
    function extSloads(bytes32[] calldata slots) external view returns (bytes32[] memory res) {
        uint256 nSlots = slots.length;
        res = new bytes32[](nSlots);
        for (uint256 i; i < nSlots;) {
            bytes32 slot = slots[i++];
            assembly ("memory-safe") {
                mstore(add(res, mul(i, 32)), sload(slot))
            }
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
type Id is bytes32;
struct MarketParams {
    address loanToken;
    address collateralToken;
    address oracle;
    address irm;
    uint256 lltv;
}
/// @dev Warning: For `feeRecipient`, `supplyShares` does not contain the accrued shares since the last interest
/// accrual.
struct Position {
    uint256 supplyShares;
    uint128 borrowShares;
    uint128 collateral;
}
/// @dev Warning: `totalSupplyAssets` does not contain the accrued interest since the last interest accrual.
/// @dev Warning: `totalBorrowAssets` does not contain the accrued interest since the last interest accrual.
/// @dev Warning: `totalSupplyShares` does not contain the additional shares accrued by `feeRecipient` since the last
/// interest accrual.
struct Market {
    uint128 totalSupplyAssets;
    uint128 totalSupplyShares;
    uint128 totalBorrowAssets;
    uint128 totalBorrowShares;
    uint128 lastUpdate;
    uint128 fee;
}
struct Authorization {
    address authorizer;
    address authorized;
    bool isAuthorized;
    uint256 nonce;
    uint256 deadline;
}
struct Signature {
    uint8 v;
    bytes32 r;
    bytes32 s;
}
/// @dev This interface is used for factorizing IMorphoStaticTyping and IMorpho.
/// @dev Consider using the IMorpho interface instead of this one.
interface IMorphoBase {
    /// @notice The EIP-712 domain separator.
    /// @dev Warning: Every EIP-712 signed message based on this domain separator can be reused on another chain sharing
    /// the same chain id because the domain separator would be the same.
    function DOMAIN_SEPARATOR() external view returns (bytes32);
    /// @notice The owner of the contract.
    /// @dev It has the power to change the owner.
    /// @dev It has the power to set fees on markets and set the fee recipient.
    /// @dev It has the power to enable but not disable IRMs and LLTVs.
    function owner() external view returns (address);
    /// @notice The fee recipient of all markets.
    /// @dev The recipient receives the fees of a given market through a supply position on that market.
    function feeRecipient() external view returns (address);
    /// @notice Whether the `irm` is enabled.
    function isIrmEnabled(address irm) external view returns (bool);
    /// @notice Whether the `lltv` is enabled.
    function isLltvEnabled(uint256 lltv) external view returns (bool);
    /// @notice Whether `authorized` is authorized to modify `authorizer`'s position on all markets.
    /// @dev Anyone is authorized to modify their own positions, regardless of this variable.
    function isAuthorized(address authorizer, address authorized) external view returns (bool);
    /// @notice The `authorizer`'s current nonce. Used to prevent replay attacks with EIP-712 signatures.
    function nonce(address authorizer) external view returns (uint256);
    /// @notice Sets `newOwner` as `owner` of the contract.
    /// @dev Warning: No two-step transfer ownership.
    /// @dev Warning: The owner can be set to the zero address.
    function setOwner(address newOwner) external;
    /// @notice Enables `irm` as a possible IRM for market creation.
    /// @dev Warning: It is not possible to disable an IRM.
    function enableIrm(address irm) external;
    /// @notice Enables `lltv` as a possible LLTV for market creation.
    /// @dev Warning: It is not possible to disable a LLTV.
    function enableLltv(uint256 lltv) external;
    /// @notice Sets the `newFee` for the given market `marketParams`.
    /// @param newFee The new fee, scaled by WAD.
    /// @dev Warning: The recipient can be the zero address.
    function setFee(MarketParams memory marketParams, uint256 newFee) external;
    /// @notice Sets `newFeeRecipient` as `feeRecipient` of the fee.
    /// @dev Warning: If the fee recipient is set to the zero address, fees will accrue there and will be lost.
    /// @dev Modifying the fee recipient will allow the new recipient to claim any pending fees not yet accrued. To
    /// ensure that the current recipient receives all due fees, accrue interest manually prior to making any changes.
    function setFeeRecipient(address newFeeRecipient) external;
    /// @notice Creates the market `marketParams`.
    /// @dev Here is the list of assumptions on the market's dependencies (tokens, IRM and oracle) that guarantees
    /// Morpho behaves as expected:
    /// - The token should be ERC-20 compliant, except that it can omit return values on `transfer` and `transferFrom`.
    /// - The token balance of Morpho should only decrease on `transfer` and `transferFrom`. In particular, tokens with
    /// burn functions are not supported.
    /// - The token should not re-enter Morpho on `transfer` nor `transferFrom`.
    /// - The token balance of the sender (resp. receiver) should decrease (resp. increase) by exactly the given amount
    /// on `transfer` and `transferFrom`. In particular, tokens with fees on transfer are not supported.
    /// - The IRM should not re-enter Morpho.
    /// - The oracle should return a price with the correct scaling.
    /// @dev Here is a list of properties on the market's dependencies that could break Morpho's liveness properties
    /// (funds could get stuck):
    /// - The token can revert on `transfer` and `transferFrom` for a reason other than an approval or balance issue.
    /// - A very high amount of assets (~1e35) supplied or borrowed can make the computation of `toSharesUp` and
    /// `toSharesDown` overflow.
    /// - The IRM can revert on `borrowRate`.
    /// - A very high borrow rate returned by the IRM can make the computation of `interest` in `_accrueInterest`
    /// overflow.
    /// - The oracle can revert on `price`. Note that this can be used to prevent `borrow`, `withdrawCollateral` and
    /// `liquidate` from being used under certain market conditions.
    /// - A very high price returned by the oracle can make the computation of `maxBorrow` in `_isHealthy` overflow, or
    /// the computation of `assetsRepaid` in `liquidate` overflow.
    /// @dev The borrow share price of a market with less than 1e4 assets borrowed can be decreased by manipulations, to
    /// the point where `totalBorrowShares` is very large and borrowing overflows.
    function createMarket(MarketParams memory marketParams) external;
    /// @notice Supplies `assets` or `shares` on behalf of `onBehalf`, optionally calling back the caller's
    /// `onMorphoSupply` function with the given `data`.
    /// @dev Either `assets` or `shares` should be zero. Most use cases should rely on `assets` as an input so the
    /// caller is guaranteed to have `assets` tokens pulled from their balance, but the possibility to mint a specific
    /// amount of shares is given for full compatibility and precision.
    /// @dev Supplying a large amount can revert for overflow.
    /// @dev Supplying an amount of shares may lead to supply more or fewer assets than expected due to slippage.
    /// Consider using the `assets` parameter to avoid this.
    /// @param marketParams The market to supply assets to.
    /// @param assets The amount of assets to supply.
    /// @param shares The amount of shares to mint.
    /// @param onBehalf The address that will own the increased supply position.
    /// @param data Arbitrary data to pass to the `onMorphoSupply` callback. Pass empty data if not needed.
    /// @return assetsSupplied The amount of assets supplied.
    /// @return sharesSupplied The amount of shares minted.
    function supply(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        bytes memory data
    ) external returns (uint256 assetsSupplied, uint256 sharesSupplied);
    /// @notice Withdraws `assets` or `shares` on behalf of `onBehalf` and sends the assets to `receiver`.
    /// @dev Either `assets` or `shares` should be zero. To withdraw max, pass the `shares`'s balance of `onBehalf`.
    /// @dev `msg.sender` must be authorized to manage `onBehalf`'s positions.
    /// @dev Withdrawing an amount corresponding to more shares than supplied will revert for underflow.
    /// @dev It is advised to use the `shares` input when withdrawing the full position to avoid reverts due to
    /// conversion roundings between shares and assets.
    /// @param marketParams The market to withdraw assets from.
    /// @param assets The amount of assets to withdraw.
    /// @param shares The amount of shares to burn.
    /// @param onBehalf The address of the owner of the supply position.
    /// @param receiver The address that will receive the withdrawn assets.
    /// @return assetsWithdrawn The amount of assets withdrawn.
    /// @return sharesWithdrawn The amount of shares burned.
    function withdraw(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        address receiver
    ) external returns (uint256 assetsWithdrawn, uint256 sharesWithdrawn);
    /// @notice Borrows `assets` or `shares` on behalf of `onBehalf` and sends the assets to `receiver`.
    /// @dev Either `assets` or `shares` should be zero. Most use cases should rely on `assets` as an input so the
    /// caller is guaranteed to borrow `assets` of tokens, but the possibility to mint a specific amount of shares is
    /// given for full compatibility and precision.
    /// @dev `msg.sender` must be authorized to manage `onBehalf`'s positions.
    /// @dev Borrowing a large amount can revert for overflow.
    /// @dev Borrowing an amount of shares may lead to borrow fewer assets than expected due to slippage.
    /// Consider using the `assets` parameter to avoid this.
    /// @param marketParams The market to borrow assets from.
    /// @param assets The amount of assets to borrow.
    /// @param shares The amount of shares to mint.
    /// @param onBehalf The address that will own the increased borrow position.
    /// @param receiver The address that will receive the borrowed assets.
    /// @return assetsBorrowed The amount of assets borrowed.
    /// @return sharesBorrowed The amount of shares minted.
    function borrow(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        address receiver
    ) external returns (uint256 assetsBorrowed, uint256 sharesBorrowed);
    /// @notice Repays `assets` or `shares` on behalf of `onBehalf`, optionally calling back the caller's
    /// `onMorphoReplay` function with the given `data`.
    /// @dev Either `assets` or `shares` should be zero. To repay max, pass the `shares`'s balance of `onBehalf`.
    /// @dev Repaying an amount corresponding to more shares than borrowed will revert for underflow.
    /// @dev It is advised to use the `shares` input when repaying the full position to avoid reverts due to conversion
    /// roundings between shares and assets.
    /// @dev An attacker can front-run a repay with a small repay making the transaction revert for underflow.
    /// @param marketParams The market to repay assets to.
    /// @param assets The amount of assets to repay.
    /// @param shares The amount of shares to burn.
    /// @param onBehalf The address of the owner of the debt position.
    /// @param data Arbitrary data to pass to the `onMorphoRepay` callback. Pass empty data if not needed.
    /// @return assetsRepaid The amount of assets repaid.
    /// @return sharesRepaid The amount of shares burned.
    function repay(
        MarketParams memory marketParams,
        uint256 assets,
        uint256 shares,
        address onBehalf,
        bytes memory data
    ) external returns (uint256 assetsRepaid, uint256 sharesRepaid);
    /// @notice Supplies `assets` of collateral on behalf of `onBehalf`, optionally calling back the caller's
    /// `onMorphoSupplyCollateral` function with the given `data`.
    /// @dev Interest are not accrued since it's not required and it saves gas.
    /// @dev Supplying a large amount can revert for overflow.
    /// @param marketParams The market to supply collateral to.
    /// @param assets The amount of collateral to supply.
    /// @param onBehalf The address that will own the increased collateral position.
    /// @param data Arbitrary data to pass to the `onMorphoSupplyCollateral` callback. Pass empty data if not needed.
    function supplyCollateral(MarketParams memory marketParams, uint256 assets, address onBehalf, bytes memory data)
        external;
    /// @notice Withdraws `assets` of collateral on behalf of `onBehalf` and sends the assets to `receiver`.
    /// @dev `msg.sender` must be authorized to manage `onBehalf`'s positions.
    /// @dev Withdrawing an amount corresponding to more collateral than supplied will revert for underflow.
    /// @param marketParams The market to withdraw collateral from.
    /// @param assets The amount of collateral to withdraw.
    /// @param onBehalf The address of the owner of the collateral position.
    /// @param receiver The address that will receive the collateral assets.
    function withdrawCollateral(MarketParams memory marketParams, uint256 assets, address onBehalf, address receiver)
        external;
    /// @notice Liquidates the given `repaidShares` of debt asset or seize the given `seizedAssets` of collateral on the
    /// given market `marketParams` of the given `borrower`'s position, optionally calling back the caller's
    /// `onMorphoLiquidate` function with the given `data`.
    /// @dev Either `seizedAssets` or `repaidShares` should be zero.
    /// @dev Seizing more than the collateral balance will underflow and revert without any error message.
    /// @dev Repaying more than the borrow balance will underflow and revert without any error message.
    /// @dev An attacker can front-run a liquidation with a small repay making the transaction revert for underflow.
    /// @param marketParams The market of the position.
    /// @param borrower The owner of the position.
    /// @param seizedAssets The amount of collateral to seize.
    /// @param repaidShares The amount of shares to repay.
    /// @param data Arbitrary data to pass to the `onMorphoLiquidate` callback. Pass empty data if not needed.
    /// @return The amount of assets seized.
    /// @return The amount of assets repaid.
    function liquidate(
        MarketParams memory marketParams,
        address borrower,
        uint256 seizedAssets,
        uint256 repaidShares,
        bytes memory data
    ) external returns (uint256, uint256);
    /// @notice Executes a flash loan.
    /// @dev Flash loans have access to the whole balance of the contract (the liquidity and deposited collateral of all
    /// markets combined, plus donations).
    /// @dev Warning: Not ERC-3156 compliant but compatibility is easily reached:
    /// - `flashFee` is zero.
    /// - `maxFlashLoan` is the token's balance of this contract.
    /// - The receiver of `assets` is the caller.
    /// @param token The token to flash loan.
    /// @param assets The amount of assets to flash loan.
    /// @param data Arbitrary data to pass to the `onMorphoFlashLoan` callback.
    function flashLoan(address token, uint256 assets, bytes calldata data) external;
    /// @notice Sets the authorization for `authorized` to manage `msg.sender`'s positions.
    /// @param authorized The authorized address.
    /// @param newIsAuthorized The new authorization status.
    function setAuthorization(address authorized, bool newIsAuthorized) external;
    /// @notice Sets the authorization for `authorization.authorized` to manage `authorization.authorizer`'s positions.
    /// @dev Warning: Reverts if the signature has already been submitted.
    /// @dev The signature is malleable, but it has no impact on the security here.
    /// @dev The nonce is passed as argument to be able to revert with a different error message.
    /// @param authorization The `Authorization` struct.
    /// @param signature The signature.
    function setAuthorizationWithSig(Authorization calldata authorization, Signature calldata signature) external;
    /// @notice Accrues interest for the given market `marketParams`.
    function accrueInterest(MarketParams memory marketParams) external;
    /// @notice Returns the data stored on the different `slots`.
    function extSloads(bytes32[] memory slots) external view returns (bytes32[] memory);
}
/// @dev This interface is inherited by Morpho so that function signatures are checked by the compiler.
/// @dev Consider using the IMorpho interface instead of this one.
interface IMorphoStaticTyping is IMorphoBase {
    /// @notice The state of the position of `user` on the market corresponding to `id`.
    /// @dev Warning: For `feeRecipient`, `supplyShares` does not contain the accrued shares since the last interest
    /// accrual.
    function position(Id id, address user)
        external
        view
        returns (uint256 supplyShares, uint128 borrowShares, uint128 collateral);
    /// @notice The state of the market corresponding to `id`.
    /// @dev Warning: `totalSupplyAssets` does not contain the accrued interest since the last interest accrual.
    /// @dev Warning: `totalBorrowAssets` does not contain the accrued interest since the last interest accrual.
    /// @dev Warning: `totalSupplyShares` does not contain the accrued shares by `feeRecipient` since the last interest
    /// accrual.
    function market(Id id)
        external
        view
        returns (
            uint128 totalSupplyAssets,
            uint128 totalSupplyShares,
            uint128 totalBorrowAssets,
            uint128 totalBorrowShares,
            uint128 lastUpdate,
            uint128 fee
        );
    /// @notice The market params corresponding to `id`.
    /// @dev This mapping is not used in Morpho. It is there to enable reducing the cost associated to calldata on layer
    /// 2s by creating a wrapper contract with functions that take `id` as input instead of `marketParams`.
    function idToMarketParams(Id id)
        external
        view
        returns (address loanToken, address collateralToken, address oracle, address irm, uint256 lltv);
}
/// @title IMorpho
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @dev Use this interface for Morpho to have access to all the functions with the appropriate function signatures.
interface IMorpho is IMorphoBase {
    /// @notice The state of the position of `user` on the market corresponding to `id`.
    /// @dev Warning: For `feeRecipient`, `p.supplyShares` does not contain the accrued shares since the last interest
    /// accrual.
    function position(Id id, address user) external view returns (Position memory p);
    /// @notice The state of the market corresponding to `id`.
    /// @dev Warning: `m.totalSupplyAssets` does not contain the accrued interest since the last interest accrual.
    /// @dev Warning: `m.totalBorrowAssets` does not contain the accrued interest since the last interest accrual.
    /// @dev Warning: `m.totalSupplyShares` does not contain the accrued shares by `feeRecipient` since the last
    /// interest accrual.
    function market(Id id) external view returns (Market memory m);
    /// @notice The market params corresponding to `id`.
    /// @dev This mapping is not used in Morpho. It is there to enable reducing the cost associated to calldata on layer
    /// 2s by creating a wrapper contract with functions that take `id` as input instead of `marketParams`.
    function idToMarketParams(Id id) external view returns (MarketParams memory);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title IMorphoLiquidateCallback
/// @notice Interface that liquidators willing to use `liquidate`'s callback must implement.
interface IMorphoLiquidateCallback {
    /// @notice Callback called when a liquidation occurs.
    /// @dev The callback is called only if data is not empty.
    /// @param repaidAssets The amount of repaid assets.
    /// @param data Arbitrary data passed to the `liquidate` function.
    function onMorphoLiquidate(uint256 repaidAssets, bytes calldata data) external;
}
/// @title IMorphoRepayCallback
/// @notice Interface that users willing to use `repay`'s callback must implement.
interface IMorphoRepayCallback {
    /// @notice Callback called when a repayment occurs.
    /// @dev The callback is called only if data is not empty.
    /// @param assets The amount of repaid assets.
    /// @param data Arbitrary data passed to the `repay` function.
    function onMorphoRepay(uint256 assets, bytes calldata data) external;
}
/// @title IMorphoSupplyCallback
/// @notice Interface that users willing to use `supply`'s callback must implement.
interface IMorphoSupplyCallback {
    /// @notice Callback called when a supply occurs.
    /// @dev The callback is called only if data is not empty.
    /// @param assets The amount of supplied assets.
    /// @param data Arbitrary data passed to the `supply` function.
    function onMorphoSupply(uint256 assets, bytes calldata data) external;
}
/// @title IMorphoSupplyCollateralCallback
/// @notice Interface that users willing to use `supplyCollateral`'s callback must implement.
interface IMorphoSupplyCollateralCallback {
    /// @notice Callback called when a supply of collateral occurs.
    /// @dev The callback is called only if data is not empty.
    /// @param assets The amount of supplied collateral.
    /// @param data Arbitrary data passed to the `supplyCollateral` function.
    function onMorphoSupplyCollateral(uint256 assets, bytes calldata data) external;
}
/// @title IMorphoFlashLoanCallback
/// @notice Interface that users willing to use `flashLoan`'s callback must implement.
interface IMorphoFlashLoanCallback {
    /// @notice Callback called when a flash loan occurs.
    /// @dev The callback is called only if data is not empty.
    /// @param assets The amount of assets that was flash loaned.
    /// @param data Arbitrary data passed to the `flashLoan` function.
    function onMorphoFlashLoan(uint256 assets, bytes calldata data) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import {MarketParams, Market} from "./IMorpho.sol";
/// @title IIrm
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Interface that Interest Rate Models (IRMs) used by Morpho must implement.
interface IIrm {
    /// @notice Returns the borrow rate per second (scaled by WAD) of the market `marketParams`.
    /// @dev Assumes that `market` corresponds to `marketParams`.
    function borrowRate(MarketParams memory marketParams, Market memory market) external returns (uint256);
    /// @notice Returns the borrow rate per second (scaled by WAD) of the market `marketParams` without modifying any
    /// storage.
    /// @dev Assumes that `market` corresponds to `marketParams`.
    function borrowRateView(MarketParams memory marketParams, Market memory market) external view returns (uint256);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title IERC20
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @dev Empty because we only call library functions. It prevents calling transfer (transferFrom) instead of
/// safeTransfer (safeTransferFrom).
interface IERC20 {}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title IOracle
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Interface that oracles used by Morpho must implement.
/// @dev It is the user's responsibility to select markets with safe oracles.
interface IOracle {
    /// @notice Returns the price of 1 asset of collateral token quoted in 1 asset of loan token, scaled by 1e36.
    /// @dev It corresponds to the price of 10**(collateral token decimals) assets of collateral token quoted in
    /// 10**(loan token decimals) assets of loan token with `36 + loan token decimals - collateral token decimals`
    /// decimals of precision.
    function price() external view returns (uint256);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
/// @dev The maximum fee a market can have (25%).
uint256 constant MAX_FEE = 0.25e18;
/// @dev Oracle price scale.
uint256 constant ORACLE_PRICE_SCALE = 1e36;
/// @dev Liquidation cursor.
uint256 constant LIQUIDATION_CURSOR = 0.3e18;
/// @dev Max liquidation incentive factor.
uint256 constant MAX_LIQUIDATION_INCENTIVE_FACTOR = 1.15e18;
/// @dev The EIP-712 typeHash for EIP712Domain.
bytes32 constant DOMAIN_TYPEHASH = keccak256("EIP712Domain(uint256 chainId,address verifyingContract)");
/// @dev The EIP-712 typeHash for Authorization.
bytes32 constant AUTHORIZATION_TYPEHASH =
    keccak256("Authorization(address authorizer,address authorized,bool isAuthorized,uint256 nonce,uint256 deadline)");
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
import {ErrorsLib} from "../libraries/ErrorsLib.sol";
/// @title UtilsLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Library exposing helpers.
/// @dev Inspired by https://github.com/morpho-org/morpho-utils.
library UtilsLib {
    /// @dev Returns true if there is exactly one zero among `x` and `y`.
    function exactlyOneZero(uint256 x, uint256 y) internal pure returns (bool z) {
        assembly {
            z := xor(iszero(x), iszero(y))
        }
    }
    /// @dev Returns the min of `x` and `y`.
    function min(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := xor(x, mul(xor(x, y), lt(y, x)))
        }
    }
    /// @dev Returns `x` safely cast to uint128.
    function toUint128(uint256 x) internal pure returns (uint128) {
        require(x <= type(uint128).max, ErrorsLib.MAX_UINT128_EXCEEDED);
        return uint128(x);
    }
    /// @dev Returns max(0, x - y).
    function zeroFloorSub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := mul(gt(x, y), sub(x, y))
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
import {Id, MarketParams} from "../interfaces/IMorpho.sol";
/// @title EventsLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Library exposing events.
library EventsLib {
    /// @notice Emitted when setting a new owner.
    /// @param newOwner The new owner of the contract.
    event SetOwner(address indexed newOwner);
    /// @notice Emitted when setting a new fee.
    /// @param id The market id.
    /// @param newFee The new fee.
    event SetFee(Id indexed id, uint256 newFee);
    /// @notice Emitted when setting a new fee recipient.
    /// @param newFeeRecipient The new fee recipient.
    event SetFeeRecipient(address indexed newFeeRecipient);
    /// @notice Emitted when enabling an IRM.
    /// @param irm The IRM that was enabled.
    event EnableIrm(address indexed irm);
    /// @notice Emitted when enabling an LLTV.
    /// @param lltv The LLTV that was enabled.
    event EnableLltv(uint256 lltv);
    /// @notice Emitted when creating a market.
    /// @param id The market id.
    /// @param marketParams The market that was created.
    event CreateMarket(Id indexed id, MarketParams marketParams);
    /// @notice Emitted on supply of assets.
    /// @dev Warning: `feeRecipient` receives some shares during interest accrual without any supply event emitted.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param onBehalf The owner of the modified position.
    /// @param assets The amount of assets supplied.
    /// @param shares The amount of shares minted.
    event Supply(Id indexed id, address indexed caller, address indexed onBehalf, uint256 assets, uint256 shares);
    /// @notice Emitted on withdrawal of assets.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param onBehalf The owner of the modified position.
    /// @param receiver The address that received the withdrawn assets.
    /// @param assets The amount of assets withdrawn.
    /// @param shares The amount of shares burned.
    event Withdraw(
        Id indexed id,
        address caller,
        address indexed onBehalf,
        address indexed receiver,
        uint256 assets,
        uint256 shares
    );
    /// @notice Emitted on borrow of assets.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param onBehalf The owner of the modified position.
    /// @param receiver The address that received the borrowed assets.
    /// @param assets The amount of assets borrowed.
    /// @param shares The amount of shares minted.
    event Borrow(
        Id indexed id,
        address caller,
        address indexed onBehalf,
        address indexed receiver,
        uint256 assets,
        uint256 shares
    );
    /// @notice Emitted on repayment of assets.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param onBehalf The owner of the modified position.
    /// @param assets The amount of assets repaid. May be 1 over the corresponding market's `totalBorrowAssets`.
    /// @param shares The amount of shares burned.
    event Repay(Id indexed id, address indexed caller, address indexed onBehalf, uint256 assets, uint256 shares);
    /// @notice Emitted on supply of collateral.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param onBehalf The owner of the modified position.
    /// @param assets The amount of collateral supplied.
    event SupplyCollateral(Id indexed id, address indexed caller, address indexed onBehalf, uint256 assets);
    /// @notice Emitted on withdrawal of collateral.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param onBehalf The owner of the modified position.
    /// @param receiver The address that received the withdrawn collateral.
    /// @param assets The amount of collateral withdrawn.
    event WithdrawCollateral(
        Id indexed id, address caller, address indexed onBehalf, address indexed receiver, uint256 assets
    );
    /// @notice Emitted on liquidation of a position.
    /// @param id The market id.
    /// @param caller The caller.
    /// @param borrower The borrower of the position.
    /// @param repaidAssets The amount of assets repaid. May be 1 over the corresponding market's `totalBorrowAssets`.
    /// @param repaidShares The amount of shares burned.
    /// @param seizedAssets The amount of collateral seized.
    /// @param badDebtAssets The amount of assets of bad debt realized.
    /// @param badDebtShares The amount of borrow shares of bad debt realized.
    event Liquidate(
        Id indexed id,
        address indexed caller,
        address indexed borrower,
        uint256 repaidAssets,
        uint256 repaidShares,
        uint256 seizedAssets,
        uint256 badDebtAssets,
        uint256 badDebtShares
    );
    /// @notice Emitted on flash loan.
    /// @param caller The caller.
    /// @param token The token that was flash loaned.
    /// @param assets The amount that was flash loaned.
    event FlashLoan(address indexed caller, address indexed token, uint256 assets);
    /// @notice Emitted when setting an authorization.
    /// @param caller The caller.
    /// @param authorizer The authorizer address.
    /// @param authorized The authorized address.
    /// @param newIsAuthorized The new authorization status.
    event SetAuthorization(
        address indexed caller, address indexed authorizer, address indexed authorized, bool newIsAuthorized
    );
    /// @notice Emitted when setting an authorization with a signature.
    /// @param caller The caller.
    /// @param authorizer The authorizer address.
    /// @param usedNonce The nonce that was used.
    event IncrementNonce(address indexed caller, address indexed authorizer, uint256 usedNonce);
    /// @notice Emitted when accruing interest.
    /// @param id The market id.
    /// @param prevBorrowRate The previous borrow rate.
    /// @param interest The amount of interest accrued.
    /// @param feeShares The amount of shares minted as fee.
    event AccrueInterest(Id indexed id, uint256 prevBorrowRate, uint256 interest, uint256 feeShares);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
/// @title ErrorsLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Library exposing error messages.
library ErrorsLib {
    /// @notice Thrown when the caller is not the owner.
    string internal constant NOT_OWNER = "not owner";
    /// @notice Thrown when the LLTV to enable exceeds the maximum LLTV.
    string internal constant MAX_LLTV_EXCEEDED = "max LLTV exceeded";
    /// @notice Thrown when the fee to set exceeds the maximum fee.
    string internal constant MAX_FEE_EXCEEDED = "max fee exceeded";
    /// @notice Thrown when the value is already set.
    string internal constant ALREADY_SET = "already set";
    /// @notice Thrown when the IRM is not enabled at market creation.
    string internal constant IRM_NOT_ENABLED = "IRM not enabled";
    /// @notice Thrown when the LLTV is not enabled at market creation.
    string internal constant LLTV_NOT_ENABLED = "LLTV not enabled";
    /// @notice Thrown when the market is already created.
    string internal constant MARKET_ALREADY_CREATED = "market already created";
    /// @notice Thrown when a token to transfer doesn't have code.
    string internal constant NO_CODE = "no code";
    /// @notice Thrown when the market is not created.
    string internal constant MARKET_NOT_CREATED = "market not created";
    /// @notice Thrown when not exactly one of the input amount is zero.
    string internal constant INCONSISTENT_INPUT = "inconsistent input";
    /// @notice Thrown when zero assets is passed as input.
    string internal constant ZERO_ASSETS = "zero assets";
    /// @notice Thrown when a zero address is passed as input.
    string internal constant ZERO_ADDRESS = "zero address";
    /// @notice Thrown when the caller is not authorized to conduct an action.
    string internal constant UNAUTHORIZED = "unauthorized";
    /// @notice Thrown when the collateral is insufficient to `borrow` or `withdrawCollateral`.
    string internal constant INSUFFICIENT_COLLATERAL = "insufficient collateral";
    /// @notice Thrown when the liquidity is insufficient to `withdraw` or `borrow`.
    string internal constant INSUFFICIENT_LIQUIDITY = "insufficient liquidity";
    /// @notice Thrown when the position to liquidate is healthy.
    string internal constant HEALTHY_POSITION = "position is healthy";
    /// @notice Thrown when the authorization signature is invalid.
    string internal constant INVALID_SIGNATURE = "invalid signature";
    /// @notice Thrown when the authorization signature is expired.
    string internal constant SIGNATURE_EXPIRED = "signature expired";
    /// @notice Thrown when the nonce is invalid.
    string internal constant INVALID_NONCE = "invalid nonce";
    /// @notice Thrown when a token transfer reverted.
    string internal constant TRANSFER_REVERTED = "transfer reverted";
    /// @notice Thrown when a token transfer returned false.
    string internal constant TRANSFER_RETURNED_FALSE = "transfer returned false";
    /// @notice Thrown when a token transferFrom reverted.
    string internal constant TRANSFER_FROM_REVERTED = "transferFrom reverted";
    /// @notice Thrown when a token transferFrom returned false
    string internal constant TRANSFER_FROM_RETURNED_FALSE = "transferFrom returned false";
    /// @notice Thrown when the maximum uint128 is exceeded.
    string internal constant MAX_UINT128_EXCEEDED = "max uint128 exceeded";
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
uint256 constant WAD = 1e18;
/// @title MathLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Library to manage fixed-point arithmetic.
library MathLib {
    /// @dev Returns (`x` * `y`) / `WAD` rounded down.
    function wMulDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, y, WAD);
    }
    /// @dev Returns (`x` * `WAD`) / `y` rounded down.
    function wDivDown(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivDown(x, WAD, y);
    }
    /// @dev Returns (`x` * `WAD`) / `y` rounded up.
    function wDivUp(uint256 x, uint256 y) internal pure returns (uint256) {
        return mulDivUp(x, WAD, y);
    }
    /// @dev Returns (`x` * `y`) / `d` rounded down.
    function mulDivDown(uint256 x, uint256 y, uint256 d) internal pure returns (uint256) {
        return (x * y) / d;
    }
    /// @dev Returns (`x` * `y`) / `d` rounded up.
    function mulDivUp(uint256 x, uint256 y, uint256 d) internal pure returns (uint256) {
        return (x * y + (d - 1)) / d;
    }
    /// @dev Returns the sum of the first three non-zero terms of a Taylor expansion of e^(nx) - 1, to approximate a
    /// continuous compound interest rate.
    function wTaylorCompounded(uint256 x, uint256 n) internal pure returns (uint256) {
        uint256 firstTerm = x * n;
        uint256 secondTerm = mulDivDown(firstTerm, firstTerm, 2 * WAD);
        uint256 thirdTerm = mulDivDown(secondTerm, firstTerm, 3 * WAD);
        return firstTerm + secondTerm + thirdTerm;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
import {MathLib} from "./MathLib.sol";
/// @title SharesMathLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Shares management library.
/// @dev This implementation mitigates share price manipulations, using OpenZeppelin's method of virtual shares:
/// https://docs.openzeppelin.com/contracts/4.x/erc4626#inflation-attack.
library SharesMathLib {
    using MathLib for uint256;
    /// @dev The number of virtual shares has been chosen low enough to prevent overflows, and high enough to ensure
    /// high precision computations.
    /// @dev Virtual shares can never be redeemed for the assets they are entitled to, but it is assumed the share price
    /// stays low enough not to inflate these assets to a significant value.
    /// @dev Warning: The assets to which virtual borrow shares are entitled behave like unrealizable bad debt.
    uint256 internal constant VIRTUAL_SHARES = 1e6;
    /// @dev A number of virtual assets of 1 enforces a conversion rate between shares and assets when a market is
    /// empty.
    uint256 internal constant VIRTUAL_ASSETS = 1;
    /// @dev Calculates the value of `assets` quoted in shares, rounding down.
    function toSharesDown(uint256 assets, uint256 totalAssets, uint256 totalShares) internal pure returns (uint256) {
        return assets.mulDivDown(totalShares + VIRTUAL_SHARES, totalAssets + VIRTUAL_ASSETS);
    }
    /// @dev Calculates the value of `shares` quoted in assets, rounding down.
    function toAssetsDown(uint256 shares, uint256 totalAssets, uint256 totalShares) internal pure returns (uint256) {
        return shares.mulDivDown(totalAssets + VIRTUAL_ASSETS, totalShares + VIRTUAL_SHARES);
    }
    /// @dev Calculates the value of `assets` quoted in shares, rounding up.
    function toSharesUp(uint256 assets, uint256 totalAssets, uint256 totalShares) internal pure returns (uint256) {
        return assets.mulDivUp(totalShares + VIRTUAL_SHARES, totalAssets + VIRTUAL_ASSETS);
    }
    /// @dev Calculates the value of `shares` quoted in assets, rounding up.
    function toAssetsUp(uint256 shares, uint256 totalAssets, uint256 totalShares) internal pure returns (uint256) {
        return shares.mulDivUp(totalAssets + VIRTUAL_ASSETS, totalShares + VIRTUAL_SHARES);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
import {Id, MarketParams} from "../interfaces/IMorpho.sol";
/// @title MarketParamsLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Library to convert a market to its id.
library MarketParamsLib {
    /// @notice The length of the data used to compute the id of a market.
    /// @dev The length is 5 * 32 because `MarketParams` has 5 variables of 32 bytes each.
    uint256 internal constant MARKET_PARAMS_BYTES_LENGTH = 5 * 32;
    /// @notice Returns the id of the market `marketParams`.
    function id(MarketParams memory marketParams) internal pure returns (Id marketParamsId) {
        assembly ("memory-safe") {
            marketParamsId := keccak256(marketParams, MARKET_PARAMS_BYTES_LENGTH)
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity ^0.8.0;
import {IERC20} from "../interfaces/IERC20.sol";
import {ErrorsLib} from "../libraries/ErrorsLib.sol";
interface IERC20Internal {
    function transfer(address to, uint256 value) external returns (bool);
    function transferFrom(address from, address to, uint256 value) external returns (bool);
}
/// @title SafeTransferLib
/// @author Morpho Labs
/// @custom:contact security@morpho.org
/// @notice Library to manage transfers of tokens, even if calls to the transfer or transferFrom functions are not
/// returning a boolean.
library SafeTransferLib {
    function safeTransfer(IERC20 token, address to, uint256 value) internal {
        require(address(token).code.length > 0, ErrorsLib.NO_CODE);
        (bool success, bytes memory returndata) =
            address(token).call(abi.encodeCall(IERC20Internal.transfer, (to, value)));
        require(success, ErrorsLib.TRANSFER_REVERTED);
        require(returndata.length == 0 || abi.decode(returndata, (bool)), ErrorsLib.TRANSFER_RETURNED_FALSE);
    }
    function safeTransferFrom(IERC20 token, address from, address to, uint256 value) internal {
        require(address(token).code.length > 0, ErrorsLib.NO_CODE);
        (bool success, bytes memory returndata) =
            address(token).call(abi.encodeCall(IERC20Internal.transferFrom, (from, to, value)));
        require(success, ErrorsLib.TRANSFER_FROM_REVERTED);
        require(returndata.length == 0 || abi.decode(returndata, (bool)), ErrorsLib.TRANSFER_FROM_RETURNED_FALSE);
    }
}

// Copyright (C) 2015, 2016, 2017 Dapphub

// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.4.18;

contract WETH9 {
    string public name     = "Wrapped Ether";
    string public symbol   = "WETH";
    uint8  public decimals = 18;

    event  Approval(address indexed src, address indexed guy, uint wad);
    event  Transfer(address indexed src, address indexed dst, uint wad);
    event  Deposit(address indexed dst, uint wad);
    event  Withdrawal(address indexed src, uint wad);

    mapping (address => uint)                       public  balanceOf;
    mapping (address => mapping (address => uint))  public  allowance;

    function() public payable {
        deposit();
    }
    function deposit() public payable {
        balanceOf[msg.sender] += msg.value;
        Deposit(msg.sender, msg.value);
    }
    function withdraw(uint wad) public {
        require(balanceOf[msg.sender] >= wad);
        balanceOf[msg.sender] -= wad;
        msg.sender.transfer(wad);
        Withdrawal(msg.sender, wad);
    }

    function totalSupply() public view returns (uint) {
        return this.balance;
    }

    function approve(address guy, uint wad) public returns (bool) {
        allowance[msg.sender][guy] = wad;
        Approval(msg.sender, guy, wad);
        return true;
    }

    function transfer(address dst, uint wad) public returns (bool) {
        return transferFrom(msg.sender, dst, wad);
    }

    function transferFrom(address src, address dst, uint wad)
        public
        returns (bool)
    {
        require(balanceOf[src] >= wad);

        if (src != msg.sender && allowance[src][msg.sender] != uint(-1)) {
            require(allowance[src][msg.sender] >= wad);
            allowance[src][msg.sender] -= wad;
        }

        balanceOf[src] -= wad;
        balanceOf[dst] += wad;

        Transfer(src, dst, wad);

        return true;
    }
}


/*
                    GNU GENERAL PUBLIC LICENSE
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*/

// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.26;
import {Hooks} from "./libraries/Hooks.sol";
import {Pool} from "./libraries/Pool.sol";
import {SafeCast} from "./libraries/SafeCast.sol";
import {Position} from "./libraries/Position.sol";
import {LPFeeLibrary} from "./libraries/LPFeeLibrary.sol";
import {Currency, CurrencyLibrary} from "./types/Currency.sol";
import {PoolKey} from "./types/PoolKey.sol";
import {TickMath} from "./libraries/TickMath.sol";
import {NoDelegateCall} from "./NoDelegateCall.sol";
import {IHooks} from "./interfaces/IHooks.sol";
import {IPoolManager} from "./interfaces/IPoolManager.sol";
import {IUnlockCallback} from "./interfaces/callback/IUnlockCallback.sol";
import {ProtocolFees} from "./ProtocolFees.sol";
import {ERC6909Claims} from "./ERC6909Claims.sol";
import {PoolId} from "./types/PoolId.sol";
import {BalanceDelta, BalanceDeltaLibrary} from "./types/BalanceDelta.sol";
import {BeforeSwapDelta} from "./types/BeforeSwapDelta.sol";
import {Lock} from "./libraries/Lock.sol";
import {CurrencyDelta} from "./libraries/CurrencyDelta.sol";
import {NonzeroDeltaCount} from "./libraries/NonzeroDeltaCount.sol";
import {CurrencyReserves} from "./libraries/CurrencyReserves.sol";
import {Extsload} from "./Extsload.sol";
import {Exttload} from "./Exttload.sol";
import {CustomRevert} from "./libraries/CustomRevert.sol";
//  4
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/// @title PoolManager
/// @notice Holds the state for all pools
contract PoolManager is IPoolManager, ProtocolFees, NoDelegateCall, ERC6909Claims, Extsload, Exttload {
    using SafeCast for *;
    using Pool for *;
    using Hooks for IHooks;
    using CurrencyDelta for Currency;
    using LPFeeLibrary for uint24;
    using CurrencyReserves for Currency;
    using CustomRevert for bytes4;
    int24 private constant MAX_TICK_SPACING = TickMath.MAX_TICK_SPACING;
    int24 private constant MIN_TICK_SPACING = TickMath.MIN_TICK_SPACING;
    mapping(PoolId id => Pool.State) internal _pools;
    /// @notice This will revert if the contract is locked
    modifier onlyWhenUnlocked() {
        if (!Lock.isUnlocked()) ManagerLocked.selector.revertWith();
        _;
    }
    constructor(address initialOwner) ProtocolFees(initialOwner) {}
    /// @inheritdoc IPoolManager
    function unlock(bytes calldata data) external override returns (bytes memory result) {
        if (Lock.isUnlocked()) AlreadyUnlocked.selector.revertWith();
        Lock.unlock();
        // the caller does everything in this callback, including paying what they owe via calls to settle
        result = IUnlockCallback(msg.sender).unlockCallback(data);
        if (NonzeroDeltaCount.read() != 0) CurrencyNotSettled.selector.revertWith();
        Lock.lock();
    }
    /// @inheritdoc IPoolManager
    function initialize(PoolKey memory key, uint160 sqrtPriceX96) external noDelegateCall returns (int24 tick) {
        // see TickBitmap.sol for overflow conditions that can arise from tick spacing being too large
        if (key.tickSpacing > MAX_TICK_SPACING) TickSpacingTooLarge.selector.revertWith(key.tickSpacing);
        if (key.tickSpacing < MIN_TICK_SPACING) TickSpacingTooSmall.selector.revertWith(key.tickSpacing);
        if (key.currency0 >= key.currency1) {
            CurrenciesOutOfOrderOrEqual.selector.revertWith(
                Currency.unwrap(key.currency0), Currency.unwrap(key.currency1)
            );
        }
        if (!key.hooks.isValidHookAddress(key.fee)) Hooks.HookAddressNotValid.selector.revertWith(address(key.hooks));
        uint24 lpFee = key.fee.getInitialLPFee();
        key.hooks.beforeInitialize(key, sqrtPriceX96);
        PoolId id = key.toId();
        tick = _pools[id].initialize(sqrtPriceX96, lpFee);
        // event is emitted before the afterInitialize call to ensure events are always emitted in order
        // emit all details of a pool key. poolkeys are not saved in storage and must always be provided by the caller
        // the key's fee may be a static fee or a sentinel to denote a dynamic fee.
        emit Initialize(id, key.currency0, key.currency1, key.fee, key.tickSpacing, key.hooks, sqrtPriceX96, tick);
        key.hooks.afterInitialize(key, sqrtPriceX96, tick);
    }
    /// @inheritdoc IPoolManager
    function modifyLiquidity(
        PoolKey memory key,
        IPoolManager.ModifyLiquidityParams memory params,
        bytes calldata hookData
    ) external onlyWhenUnlocked noDelegateCall returns (BalanceDelta callerDelta, BalanceDelta feesAccrued) {
        PoolId id = key.toId();
        {
            Pool.State storage pool = _getPool(id);
            pool.checkPoolInitialized();
            key.hooks.beforeModifyLiquidity(key, params, hookData);
            BalanceDelta principalDelta;
            (principalDelta, feesAccrued) = pool.modifyLiquidity(
                Pool.ModifyLiquidityParams({
                    owner: msg.sender,
                    tickLower: params.tickLower,
                    tickUpper: params.tickUpper,
                    liquidityDelta: params.liquidityDelta.toInt128(),
                    tickSpacing: key.tickSpacing,
                    salt: params.salt
                })
            );
            // fee delta and principal delta are both accrued to the caller
            callerDelta = principalDelta + feesAccrued;
        }
        // event is emitted before the afterModifyLiquidity call to ensure events are always emitted in order
        emit ModifyLiquidity(id, msg.sender, params.tickLower, params.tickUpper, params.liquidityDelta, params.salt);
        BalanceDelta hookDelta;
        (callerDelta, hookDelta) = key.hooks.afterModifyLiquidity(key, params, callerDelta, feesAccrued, hookData);
        // if the hook doesn't have the flag to be able to return deltas, hookDelta will always be 0
        if (hookDelta != BalanceDeltaLibrary.ZERO_DELTA) _accountPoolBalanceDelta(key, hookDelta, address(key.hooks));
        _accountPoolBalanceDelta(key, callerDelta, msg.sender);
    }
    /// @inheritdoc IPoolManager
    function swap(PoolKey memory key, IPoolManager.SwapParams memory params, bytes calldata hookData)
        external
        onlyWhenUnlocked
        noDelegateCall
        returns (BalanceDelta swapDelta)
    {
        if (params.amountSpecified == 0) SwapAmountCannotBeZero.selector.revertWith();
        PoolId id = key.toId();
        Pool.State storage pool = _getPool(id);
        pool.checkPoolInitialized();
        BeforeSwapDelta beforeSwapDelta;
        {
            int256 amountToSwap;
            uint24 lpFeeOverride;
            (amountToSwap, beforeSwapDelta, lpFeeOverride) = key.hooks.beforeSwap(key, params, hookData);
            // execute swap, account protocol fees, and emit swap event
            // _swap is needed to avoid stack too deep error
            swapDelta = _swap(
                pool,
                id,
                Pool.SwapParams({
                    tickSpacing: key.tickSpacing,
                    zeroForOne: params.zeroForOne,
                    amountSpecified: amountToSwap,
                    sqrtPriceLimitX96: params.sqrtPriceLimitX96,
                    lpFeeOverride: lpFeeOverride
                }),
                params.zeroForOne ? key.currency0 : key.currency1 // input token
            );
        }
        BalanceDelta hookDelta;
        (swapDelta, hookDelta) = key.hooks.afterSwap(key, params, swapDelta, hookData, beforeSwapDelta);
        // if the hook doesn't have the flag to be able to return deltas, hookDelta will always be 0
        if (hookDelta != BalanceDeltaLibrary.ZERO_DELTA) _accountPoolBalanceDelta(key, hookDelta, address(key.hooks));
        _accountPoolBalanceDelta(key, swapDelta, msg.sender);
    }
    /// @notice Internal swap function to execute a swap, take protocol fees on input token, and emit the swap event
    function _swap(Pool.State storage pool, PoolId id, Pool.SwapParams memory params, Currency inputCurrency)
        internal
        returns (BalanceDelta)
    {
        (BalanceDelta delta, uint256 amountToProtocol, uint24 swapFee, Pool.SwapResult memory result) =
            pool.swap(params);
        // the fee is on the input currency
        if (amountToProtocol > 0) _updateProtocolFees(inputCurrency, amountToProtocol);
        // event is emitted before the afterSwap call to ensure events are always emitted in order
        emit Swap(
            id,
            msg.sender,
            delta.amount0(),
            delta.amount1(),
            result.sqrtPriceX96,
            result.liquidity,
            result.tick,
            swapFee
        );
        return delta;
    }
    /// @inheritdoc IPoolManager
    function donate(PoolKey memory key, uint256 amount0, uint256 amount1, bytes calldata hookData)
        external
        onlyWhenUnlocked
        noDelegateCall
        returns (BalanceDelta delta)
    {
        PoolId poolId = key.toId();
        Pool.State storage pool = _getPool(poolId);
        pool.checkPoolInitialized();
        key.hooks.beforeDonate(key, amount0, amount1, hookData);
        delta = pool.donate(amount0, amount1);
        _accountPoolBalanceDelta(key, delta, msg.sender);
        // event is emitted before the afterDonate call to ensure events are always emitted in order
        emit Donate(poolId, msg.sender, amount0, amount1);
        key.hooks.afterDonate(key, amount0, amount1, hookData);
    }
    /// @inheritdoc IPoolManager
    function sync(Currency currency) external {
        // address(0) is used for the native currency
        if (currency.isAddressZero()) {
            // The reserves balance is not used for native settling, so we only need to reset the currency.
            CurrencyReserves.resetCurrency();
        } else {
            uint256 balance = currency.balanceOfSelf();
            CurrencyReserves.syncCurrencyAndReserves(currency, balance);
        }
    }
    /// @inheritdoc IPoolManager
    function take(Currency currency, address to, uint256 amount) external onlyWhenUnlocked {
        unchecked {
            // negation must be safe as amount is not negative
            _accountDelta(currency, -(amount.toInt128()), msg.sender);
            currency.transfer(to, amount);
        }
    }
    /// @inheritdoc IPoolManager
    function settle() external payable onlyWhenUnlocked returns (uint256) {
        return _settle(msg.sender);
    }
    /// @inheritdoc IPoolManager
    function settleFor(address recipient) external payable onlyWhenUnlocked returns (uint256) {
        return _settle(recipient);
    }
    /// @inheritdoc IPoolManager
    function clear(Currency currency, uint256 amount) external onlyWhenUnlocked {
        int256 current = currency.getDelta(msg.sender);
        // Because input is `uint256`, only positive amounts can be cleared.
        int128 amountDelta = amount.toInt128();
        if (amountDelta != current) MustClearExactPositiveDelta.selector.revertWith();
        // negation must be safe as amountDelta is positive
        unchecked {
            _accountDelta(currency, -(amountDelta), msg.sender);
        }
    }
    /// @inheritdoc IPoolManager
    function mint(address to, uint256 id, uint256 amount) external onlyWhenUnlocked {
        unchecked {
            Currency currency = CurrencyLibrary.fromId(id);
            // negation must be safe as amount is not negative
            _accountDelta(currency, -(amount.toInt128()), msg.sender);
            _mint(to, currency.toId(), amount);
        }
    }
    /// @inheritdoc IPoolManager
    function burn(address from, uint256 id, uint256 amount) external onlyWhenUnlocked {
        Currency currency = CurrencyLibrary.fromId(id);
        _accountDelta(currency, amount.toInt128(), msg.sender);
        _burnFrom(from, currency.toId(), amount);
    }
    /// @inheritdoc IPoolManager
    function updateDynamicLPFee(PoolKey memory key, uint24 newDynamicLPFee) external {
        if (!key.fee.isDynamicFee() || msg.sender != address(key.hooks)) {
            UnauthorizedDynamicLPFeeUpdate.selector.revertWith();
        }
        newDynamicLPFee.validate();
        PoolId id = key.toId();
        _pools[id].setLPFee(newDynamicLPFee);
    }
    // if settling native, integrators should still call `sync` first to avoid DoS attack vectors
    function _settle(address recipient) internal returns (uint256 paid) {
        Currency currency = CurrencyReserves.getSyncedCurrency();
        // if not previously synced, or the syncedCurrency slot has been reset, expects native currency to be settled
        if (currency.isAddressZero()) {
            paid = msg.value;
        } else {
            if (msg.value > 0) NonzeroNativeValue.selector.revertWith();
            // Reserves are guaranteed to be set because currency and reserves are always set together
            uint256 reservesBefore = CurrencyReserves.getSyncedReserves();
            uint256 reservesNow = currency.balanceOfSelf();
            paid = reservesNow - reservesBefore;
            CurrencyReserves.resetCurrency();
        }
        _accountDelta(currency, paid.toInt128(), recipient);
    }
    /// @notice Adds a balance delta in a currency for a target address
    function _accountDelta(Currency currency, int128 delta, address target) internal {
        if (delta == 0) return;
        (int256 previous, int256 next) = currency.applyDelta(target, delta);
        if (next == 0) {
            NonzeroDeltaCount.decrement();
        } else if (previous == 0) {
            NonzeroDeltaCount.increment();
        }
    }
    /// @notice Accounts the deltas of 2 currencies to a target address
    function _accountPoolBalanceDelta(PoolKey memory key, BalanceDelta delta, address target) internal {
        _accountDelta(key.currency0, delta.amount0(), target);
        _accountDelta(key.currency1, delta.amount1(), target);
    }
    /// @notice Implementation of the _getPool function defined in ProtocolFees
    function _getPool(PoolId id) internal view override returns (Pool.State storage) {
        return _pools[id];
    }
    /// @notice Implementation of the _isUnlocked function defined in ProtocolFees
    function _isUnlocked() internal view override returns (bool) {
        return Lock.isUnlocked();
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {PoolKey} from "../types/PoolKey.sol";
import {IHooks} from "../interfaces/IHooks.sol";
import {SafeCast} from "./SafeCast.sol";
import {LPFeeLibrary} from "./LPFeeLibrary.sol";
import {BalanceDelta, toBalanceDelta, BalanceDeltaLibrary} from "../types/BalanceDelta.sol";
import {BeforeSwapDelta, BeforeSwapDeltaLibrary} from "../types/BeforeSwapDelta.sol";
import {IPoolManager} from "../interfaces/IPoolManager.sol";
import {ParseBytes} from "./ParseBytes.sol";
import {CustomRevert} from "./CustomRevert.sol";
/// @notice V4 decides whether to invoke specific hooks by inspecting the least significant bits
/// of the address that the hooks contract is deployed to.
/// For example, a hooks contract deployed to address: 0x0000000000000000000000000000000000002400
/// has the lowest bits '10 0100 0000 0000' which would cause the 'before initialize' and 'after add liquidity' hooks to be used.
library Hooks {
    using LPFeeLibrary for uint24;
    using Hooks for IHooks;
    using SafeCast for int256;
    using BeforeSwapDeltaLibrary for BeforeSwapDelta;
    using ParseBytes for bytes;
    using CustomRevert for bytes4;
    uint160 internal constant ALL_HOOK_MASK = uint160((1 << 14) - 1);
    uint160 internal constant BEFORE_INITIALIZE_FLAG = 1 << 13;
    uint160 internal constant AFTER_INITIALIZE_FLAG = 1 << 12;
    uint160 internal constant BEFORE_ADD_LIQUIDITY_FLAG = 1 << 11;
    uint160 internal constant AFTER_ADD_LIQUIDITY_FLAG = 1 << 10;
    uint160 internal constant BEFORE_REMOVE_LIQUIDITY_FLAG = 1 << 9;
    uint160 internal constant AFTER_REMOVE_LIQUIDITY_FLAG = 1 << 8;
    uint160 internal constant BEFORE_SWAP_FLAG = 1 << 7;
    uint160 internal constant AFTER_SWAP_FLAG = 1 << 6;
    uint160 internal constant BEFORE_DONATE_FLAG = 1 << 5;
    uint160 internal constant AFTER_DONATE_FLAG = 1 << 4;
    uint160 internal constant BEFORE_SWAP_RETURNS_DELTA_FLAG = 1 << 3;
    uint160 internal constant AFTER_SWAP_RETURNS_DELTA_FLAG = 1 << 2;
    uint160 internal constant AFTER_ADD_LIQUIDITY_RETURNS_DELTA_FLAG = 1 << 1;
    uint160 internal constant AFTER_REMOVE_LIQUIDITY_RETURNS_DELTA_FLAG = 1 << 0;
    struct Permissions {
        bool beforeInitialize;
        bool afterInitialize;
        bool beforeAddLiquidity;
        bool afterAddLiquidity;
        bool beforeRemoveLiquidity;
        bool afterRemoveLiquidity;
        bool beforeSwap;
        bool afterSwap;
        bool beforeDonate;
        bool afterDonate;
        bool beforeSwapReturnDelta;
        bool afterSwapReturnDelta;
        bool afterAddLiquidityReturnDelta;
        bool afterRemoveLiquidityReturnDelta;
    }
    /// @notice Thrown if the address will not lead to the specified hook calls being called
    /// @param hooks The address of the hooks contract
    error HookAddressNotValid(address hooks);
    /// @notice Hook did not return its selector
    error InvalidHookResponse();
    /// @notice Additional context for ERC-7751 wrapped error when a hook call fails
    error HookCallFailed();
    /// @notice The hook's delta changed the swap from exactIn to exactOut or vice versa
    error HookDeltaExceedsSwapAmount();
    /// @notice Utility function intended to be used in hook constructors to ensure
    /// the deployed hooks address causes the intended hooks to be called
    /// @param permissions The hooks that are intended to be called
    /// @dev permissions param is memory as the function will be called from constructors
    function validateHookPermissions(IHooks self, Permissions memory permissions) internal pure {
        if (
            permissions.beforeInitialize != self.hasPermission(BEFORE_INITIALIZE_FLAG)
                || permissions.afterInitialize != self.hasPermission(AFTER_INITIALIZE_FLAG)
                || permissions.beforeAddLiquidity != self.hasPermission(BEFORE_ADD_LIQUIDITY_FLAG)
                || permissions.afterAddLiquidity != self.hasPermission(AFTER_ADD_LIQUIDITY_FLAG)
                || permissions.beforeRemoveLiquidity != self.hasPermission(BEFORE_REMOVE_LIQUIDITY_FLAG)
                || permissions.afterRemoveLiquidity != self.hasPermission(AFTER_REMOVE_LIQUIDITY_FLAG)
                || permissions.beforeSwap != self.hasPermission(BEFORE_SWAP_FLAG)
                || permissions.afterSwap != self.hasPermission(AFTER_SWAP_FLAG)
                || permissions.beforeDonate != self.hasPermission(BEFORE_DONATE_FLAG)
                || permissions.afterDonate != self.hasPermission(AFTER_DONATE_FLAG)
                || permissions.beforeSwapReturnDelta != self.hasPermission(BEFORE_SWAP_RETURNS_DELTA_FLAG)
                || permissions.afterSwapReturnDelta != self.hasPermission(AFTER_SWAP_RETURNS_DELTA_FLAG)
                || permissions.afterAddLiquidityReturnDelta != self.hasPermission(AFTER_ADD_LIQUIDITY_RETURNS_DELTA_FLAG)
                || permissions.afterRemoveLiquidityReturnDelta
                    != self.hasPermission(AFTER_REMOVE_LIQUIDITY_RETURNS_DELTA_FLAG)
        ) {
            HookAddressNotValid.selector.revertWith(address(self));
        }
    }
    /// @notice Ensures that the hook address includes at least one hook flag or dynamic fees, or is the 0 address
    /// @param self The hook to verify
    /// @param fee The fee of the pool the hook is used with
    /// @return bool True if the hook address is valid
    function isValidHookAddress(IHooks self, uint24 fee) internal pure returns (bool) {
        // The hook can only have a flag to return a hook delta on an action if it also has the corresponding action flag
        if (!self.hasPermission(BEFORE_SWAP_FLAG) && self.hasPermission(BEFORE_SWAP_RETURNS_DELTA_FLAG)) return false;
        if (!self.hasPermission(AFTER_SWAP_FLAG) && self.hasPermission(AFTER_SWAP_RETURNS_DELTA_FLAG)) return false;
        if (!self.hasPermission(AFTER_ADD_LIQUIDITY_FLAG) && self.hasPermission(AFTER_ADD_LIQUIDITY_RETURNS_DELTA_FLAG))
        {
            return false;
        }
        if (
            !self.hasPermission(AFTER_REMOVE_LIQUIDITY_FLAG)
                && self.hasPermission(AFTER_REMOVE_LIQUIDITY_RETURNS_DELTA_FLAG)
        ) return false;
        // If there is no hook contract set, then fee cannot be dynamic
        // If a hook contract is set, it must have at least 1 flag set, or have a dynamic fee
        return address(self) == address(0)
            ? !fee.isDynamicFee()
            : (uint160(address(self)) & ALL_HOOK_MASK > 0 || fee.isDynamicFee());
    }
    /// @notice performs a hook call using the given calldata on the given hook that doesn't return a delta
    /// @return result The complete data returned by the hook
    function callHook(IHooks self, bytes memory data) internal returns (bytes memory result) {
        bool success;
        assembly ("memory-safe") {
            success := call(gas(), self, 0, add(data, 0x20), mload(data), 0, 0)
        }
        // Revert with FailedHookCall, containing any error message to bubble up
        if (!success) CustomRevert.bubbleUpAndRevertWith(address(self), bytes4(data), HookCallFailed.selector);
        // The call was successful, fetch the returned data
        assembly ("memory-safe") {
            // allocate result byte array from the free memory pointer
            result := mload(0x40)
            // store new free memory pointer at the end of the array padded to 32 bytes
            mstore(0x40, add(result, and(add(returndatasize(), 0x3f), not(0x1f))))
            // store length in memory
            mstore(result, returndatasize())
            // copy return data to result
            returndatacopy(add(result, 0x20), 0, returndatasize())
        }
        // Length must be at least 32 to contain the selector. Check expected selector and returned selector match.
        if (result.length < 32 || result.parseSelector() != data.parseSelector()) {
            InvalidHookResponse.selector.revertWith();
        }
    }
    /// @notice performs a hook call using the given calldata on the given hook
    /// @return int256 The delta returned by the hook
    function callHookWithReturnDelta(IHooks self, bytes memory data, bool parseReturn) internal returns (int256) {
        bytes memory result = callHook(self, data);
        // If this hook wasn't meant to return something, default to 0 delta
        if (!parseReturn) return 0;
        // A length of 64 bytes is required to return a bytes4, and a 32 byte delta
        if (result.length != 64) InvalidHookResponse.selector.revertWith();
        return result.parseReturnDelta();
    }
    /// @notice modifier to prevent calling a hook if they initiated the action
    modifier noSelfCall(IHooks self) {
        if (msg.sender != address(self)) {
            _;
        }
    }
    /// @notice calls beforeInitialize hook if permissioned and validates return value
    function beforeInitialize(IHooks self, PoolKey memory key, uint160 sqrtPriceX96) internal noSelfCall(self) {
        if (self.hasPermission(BEFORE_INITIALIZE_FLAG)) {
            self.callHook(abi.encodeCall(IHooks.beforeInitialize, (msg.sender, key, sqrtPriceX96)));
        }
    }
    /// @notice calls afterInitialize hook if permissioned and validates return value
    function afterInitialize(IHooks self, PoolKey memory key, uint160 sqrtPriceX96, int24 tick)
        internal
        noSelfCall(self)
    {
        if (self.hasPermission(AFTER_INITIALIZE_FLAG)) {
            self.callHook(abi.encodeCall(IHooks.afterInitialize, (msg.sender, key, sqrtPriceX96, tick)));
        }
    }
    /// @notice calls beforeModifyLiquidity hook if permissioned and validates return value
    function beforeModifyLiquidity(
        IHooks self,
        PoolKey memory key,
        IPoolManager.ModifyLiquidityParams memory params,
        bytes calldata hookData
    ) internal noSelfCall(self) {
        if (params.liquidityDelta > 0 && self.hasPermission(BEFORE_ADD_LIQUIDITY_FLAG)) {
            self.callHook(abi.encodeCall(IHooks.beforeAddLiquidity, (msg.sender, key, params, hookData)));
        } else if (params.liquidityDelta <= 0 && self.hasPermission(BEFORE_REMOVE_LIQUIDITY_FLAG)) {
            self.callHook(abi.encodeCall(IHooks.beforeRemoveLiquidity, (msg.sender, key, params, hookData)));
        }
    }
    /// @notice calls afterModifyLiquidity hook if permissioned and validates return value
    function afterModifyLiquidity(
        IHooks self,
        PoolKey memory key,
        IPoolManager.ModifyLiquidityParams memory params,
        BalanceDelta delta,
        BalanceDelta feesAccrued,
        bytes calldata hookData
    ) internal returns (BalanceDelta callerDelta, BalanceDelta hookDelta) {
        if (msg.sender == address(self)) return (delta, BalanceDeltaLibrary.ZERO_DELTA);
        callerDelta = delta;
        if (params.liquidityDelta > 0) {
            if (self.hasPermission(AFTER_ADD_LIQUIDITY_FLAG)) {
                hookDelta = BalanceDelta.wrap(
                    self.callHookWithReturnDelta(
                        abi.encodeCall(
                            IHooks.afterAddLiquidity, (msg.sender, key, params, delta, feesAccrued, hookData)
                        ),
                        self.hasPermission(AFTER_ADD_LIQUIDITY_RETURNS_DELTA_FLAG)
                    )
                );
                callerDelta = callerDelta - hookDelta;
            }
        } else {
            if (self.hasPermission(AFTER_REMOVE_LIQUIDITY_FLAG)) {
                hookDelta = BalanceDelta.wrap(
                    self.callHookWithReturnDelta(
                        abi.encodeCall(
                            IHooks.afterRemoveLiquidity, (msg.sender, key, params, delta, feesAccrued, hookData)
                        ),
                        self.hasPermission(AFTER_REMOVE_LIQUIDITY_RETURNS_DELTA_FLAG)
                    )
                );
                callerDelta = callerDelta - hookDelta;
            }
        }
    }
    /// @notice calls beforeSwap hook if permissioned and validates return value
    function beforeSwap(IHooks self, PoolKey memory key, IPoolManager.SwapParams memory params, bytes calldata hookData)
        internal
        returns (int256 amountToSwap, BeforeSwapDelta hookReturn, uint24 lpFeeOverride)
    {
        amountToSwap = params.amountSpecified;
        if (msg.sender == address(self)) return (amountToSwap, BeforeSwapDeltaLibrary.ZERO_DELTA, lpFeeOverride);
        if (self.hasPermission(BEFORE_SWAP_FLAG)) {
            bytes memory result = callHook(self, abi.encodeCall(IHooks.beforeSwap, (msg.sender, key, params, hookData)));
            // A length of 96 bytes is required to return a bytes4, a 32 byte delta, and an LP fee
            if (result.length != 96) InvalidHookResponse.selector.revertWith();
            // dynamic fee pools that want to override the cache fee, return a valid fee with the override flag. If override flag
            // is set but an invalid fee is returned, the transaction will revert. Otherwise the current LP fee will be used
            if (key.fee.isDynamicFee()) lpFeeOverride = result.parseFee();
            // skip this logic for the case where the hook return is 0
            if (self.hasPermission(BEFORE_SWAP_RETURNS_DELTA_FLAG)) {
                hookReturn = BeforeSwapDelta.wrap(result.parseReturnDelta());
                // any return in unspecified is passed to the afterSwap hook for handling
                int128 hookDeltaSpecified = hookReturn.getSpecifiedDelta();
                // Update the swap amount according to the hook's return, and check that the swap type doesn't change (exact input/output)
                if (hookDeltaSpecified != 0) {
                    bool exactInput = amountToSwap < 0;
                    amountToSwap += hookDeltaSpecified;
                    if (exactInput ? amountToSwap > 0 : amountToSwap < 0) {
                        HookDeltaExceedsSwapAmount.selector.revertWith();
                    }
                }
            }
        }
    }
    /// @notice calls afterSwap hook if permissioned and validates return value
    function afterSwap(
        IHooks self,
        PoolKey memory key,
        IPoolManager.SwapParams memory params,
        BalanceDelta swapDelta,
        bytes calldata hookData,
        BeforeSwapDelta beforeSwapHookReturn
    ) internal returns (BalanceDelta, BalanceDelta) {
        if (msg.sender == address(self)) return (swapDelta, BalanceDeltaLibrary.ZERO_DELTA);
        int128 hookDeltaSpecified = beforeSwapHookReturn.getSpecifiedDelta();
        int128 hookDeltaUnspecified = beforeSwapHookReturn.getUnspecifiedDelta();
        if (self.hasPermission(AFTER_SWAP_FLAG)) {
            hookDeltaUnspecified += self.callHookWithReturnDelta(
                abi.encodeCall(IHooks.afterSwap, (msg.sender, key, params, swapDelta, hookData)),
                self.hasPermission(AFTER_SWAP_RETURNS_DELTA_FLAG)
            ).toInt128();
        }
        BalanceDelta hookDelta;
        if (hookDeltaUnspecified != 0 || hookDeltaSpecified != 0) {
            hookDelta = (params.amountSpecified < 0 == params.zeroForOne)
                ? toBalanceDelta(hookDeltaSpecified, hookDeltaUnspecified)
                : toBalanceDelta(hookDeltaUnspecified, hookDeltaSpecified);
            // the caller has to pay for (or receive) the hook's delta
            swapDelta = swapDelta - hookDelta;
        }
        return (swapDelta, hookDelta);
    }
    /// @notice calls beforeDonate hook if permissioned and validates return value
    function beforeDonate(IHooks self, PoolKey memory key, uint256 amount0, uint256 amount1, bytes calldata hookData)
        internal
        noSelfCall(self)
    {
        if (self.hasPermission(BEFORE_DONATE_FLAG)) {
            self.callHook(abi.encodeCall(IHooks.beforeDonate, (msg.sender, key, amount0, amount1, hookData)));
        }
    }
    /// @notice calls afterDonate hook if permissioned and validates return value
    function afterDonate(IHooks self, PoolKey memory key, uint256 amount0, uint256 amount1, bytes calldata hookData)
        internal
        noSelfCall(self)
    {
        if (self.hasPermission(AFTER_DONATE_FLAG)) {
            self.callHook(abi.encodeCall(IHooks.afterDonate, (msg.sender, key, amount0, amount1, hookData)));
        }
    }
    function hasPermission(IHooks self, uint160 flag) internal pure returns (bool) {
        return uint160(address(self)) & flag != 0;
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.0;
import {SafeCast} from "./SafeCast.sol";
import {TickBitmap} from "./TickBitmap.sol";
import {Position} from "./Position.sol";
import {UnsafeMath} from "./UnsafeMath.sol";
import {FixedPoint128} from "./FixedPoint128.sol";
import {TickMath} from "./TickMath.sol";
import {SqrtPriceMath} from "./SqrtPriceMath.sol";
import {SwapMath} from "./SwapMath.sol";
import {BalanceDelta, toBalanceDelta, BalanceDeltaLibrary} from "../types/BalanceDelta.sol";
import {Slot0} from "../types/Slot0.sol";
import {ProtocolFeeLibrary} from "./ProtocolFeeLibrary.sol";
import {LiquidityMath} from "./LiquidityMath.sol";
import {LPFeeLibrary} from "./LPFeeLibrary.sol";
import {CustomRevert} from "./CustomRevert.sol";
/// @notice a library with all actions that can be performed on a pool
library Pool {
    using SafeCast for *;
    using TickBitmap for mapping(int16 => uint256);
    using Position for mapping(bytes32 => Position.State);
    using Position for Position.State;
    using Pool for State;
    using ProtocolFeeLibrary for *;
    using LPFeeLibrary for uint24;
    using CustomRevert for bytes4;
    /// @notice Thrown when tickLower is not below tickUpper
    /// @param tickLower The invalid tickLower
    /// @param tickUpper The invalid tickUpper
    error TicksMisordered(int24 tickLower, int24 tickUpper);
    /// @notice Thrown when tickLower is less than min tick
    /// @param tickLower The invalid tickLower
    error TickLowerOutOfBounds(int24 tickLower);
    /// @notice Thrown when tickUpper exceeds max tick
    /// @param tickUpper The invalid tickUpper
    error TickUpperOutOfBounds(int24 tickUpper);
    /// @notice For the tick spacing, the tick has too much liquidity
    error TickLiquidityOverflow(int24 tick);
    /// @notice Thrown when trying to initialize an already initialized pool
    error PoolAlreadyInitialized();
    /// @notice Thrown when trying to interact with a non-initialized pool
    error PoolNotInitialized();
    /// @notice Thrown when sqrtPriceLimitX96 on a swap has already exceeded its limit
    /// @param sqrtPriceCurrentX96 The invalid, already surpassed sqrtPriceLimitX96
    /// @param sqrtPriceLimitX96 The surpassed price limit
    error PriceLimitAlreadyExceeded(uint160 sqrtPriceCurrentX96, uint160 sqrtPriceLimitX96);
    /// @notice Thrown when sqrtPriceLimitX96 lies outside of valid tick/price range
    /// @param sqrtPriceLimitX96 The invalid, out-of-bounds sqrtPriceLimitX96
    error PriceLimitOutOfBounds(uint160 sqrtPriceLimitX96);
    /// @notice Thrown by donate if there is currently 0 liquidity, since the fees will not go to any liquidity providers
    error NoLiquidityToReceiveFees();
    /// @notice Thrown when trying to swap with max lp fee and specifying an output amount
    error InvalidFeeForExactOut();
    // info stored for each initialized individual tick
    struct TickInfo {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 feeGrowthOutside0X128;
        uint256 feeGrowthOutside1X128;
    }
    /// @notice The state of a pool
    /// @dev Note that feeGrowthGlobal can be artificially inflated
    /// For pools with a single liquidity position, actors can donate to themselves to freely inflate feeGrowthGlobal
    /// atomically donating and collecting fees in the same unlockCallback may make the inflated value more extreme
    struct State {
        Slot0 slot0;
        uint256 feeGrowthGlobal0X128;
        uint256 feeGrowthGlobal1X128;
        uint128 liquidity;
        mapping(int24 tick => TickInfo) ticks;
        mapping(int16 wordPos => uint256) tickBitmap;
        mapping(bytes32 positionKey => Position.State) positions;
    }
    /// @dev Common checks for valid tick inputs.
    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
        if (tickLower >= tickUpper) TicksMisordered.selector.revertWith(tickLower, tickUpper);
        if (tickLower < TickMath.MIN_TICK) TickLowerOutOfBounds.selector.revertWith(tickLower);
        if (tickUpper > TickMath.MAX_TICK) TickUpperOutOfBounds.selector.revertWith(tickUpper);
    }
    function initialize(State storage self, uint160 sqrtPriceX96, uint24 lpFee) internal returns (int24 tick) {
        if (self.slot0.sqrtPriceX96() != 0) PoolAlreadyInitialized.selector.revertWith();
        tick = TickMath.getTickAtSqrtPrice(sqrtPriceX96);
        // the initial protocolFee is 0 so doesn't need to be set
        self.slot0 = Slot0.wrap(bytes32(0)).setSqrtPriceX96(sqrtPriceX96).setTick(tick).setLpFee(lpFee);
    }
    function setProtocolFee(State storage self, uint24 protocolFee) internal {
        self.checkPoolInitialized();
        self.slot0 = self.slot0.setProtocolFee(protocolFee);
    }
    /// @notice Only dynamic fee pools may update the lp fee.
    function setLPFee(State storage self, uint24 lpFee) internal {
        self.checkPoolInitialized();
        self.slot0 = self.slot0.setLpFee(lpFee);
    }
    struct ModifyLiquidityParams {
        // the address that owns the position
        address owner;
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // any change in liquidity
        int128 liquidityDelta;
        // the spacing between ticks
        int24 tickSpacing;
        // used to distinguish positions of the same owner, at the same tick range
        bytes32 salt;
    }
    struct ModifyLiquidityState {
        bool flippedLower;
        uint128 liquidityGrossAfterLower;
        bool flippedUpper;
        uint128 liquidityGrossAfterUpper;
    }
    /// @notice Effect changes to a position in a pool
    /// @dev PoolManager checks that the pool is initialized before calling
    /// @param params the position details and the change to the position's liquidity to effect
    /// @return delta the deltas of the token balances of the pool, from the liquidity change
    /// @return feeDelta the fees generated by the liquidity range
    function modifyLiquidity(State storage self, ModifyLiquidityParams memory params)
        internal
        returns (BalanceDelta delta, BalanceDelta feeDelta)
    {
        int128 liquidityDelta = params.liquidityDelta;
        int24 tickLower = params.tickLower;
        int24 tickUpper = params.tickUpper;
        checkTicks(tickLower, tickUpper);
        {
            ModifyLiquidityState memory state;
            // if we need to update the ticks, do it
            if (liquidityDelta != 0) {
                (state.flippedLower, state.liquidityGrossAfterLower) =
                    updateTick(self, tickLower, liquidityDelta, false);
                (state.flippedUpper, state.liquidityGrossAfterUpper) = updateTick(self, tickUpper, liquidityDelta, true);
                // `>` and `>=` are logically equivalent here but `>=` is cheaper
                if (liquidityDelta >= 0) {
                    uint128 maxLiquidityPerTick = tickSpacingToMaxLiquidityPerTick(params.tickSpacing);
                    if (state.liquidityGrossAfterLower > maxLiquidityPerTick) {
                        TickLiquidityOverflow.selector.revertWith(tickLower);
                    }
                    if (state.liquidityGrossAfterUpper > maxLiquidityPerTick) {
                        TickLiquidityOverflow.selector.revertWith(tickUpper);
                    }
                }
                if (state.flippedLower) {
                    self.tickBitmap.flipTick(tickLower, params.tickSpacing);
                }
                if (state.flippedUpper) {
                    self.tickBitmap.flipTick(tickUpper, params.tickSpacing);
                }
            }
            {
                (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) =
                    getFeeGrowthInside(self, tickLower, tickUpper);
                Position.State storage position = self.positions.get(params.owner, tickLower, tickUpper, params.salt);
                (uint256 feesOwed0, uint256 feesOwed1) =
                    position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
                // Fees earned from LPing are calculated, and returned
                feeDelta = toBalanceDelta(feesOwed0.toInt128(), feesOwed1.toInt128());
            }
            // clear any tick data that is no longer needed
            if (liquidityDelta < 0) {
                if (state.flippedLower) {
                    clearTick(self, tickLower);
                }
                if (state.flippedUpper) {
                    clearTick(self, tickUpper);
                }
            }
        }
        if (liquidityDelta != 0) {
            Slot0 _slot0 = self.slot0;
            (int24 tick, uint160 sqrtPriceX96) = (_slot0.tick(), _slot0.sqrtPriceX96());
            if (tick < tickLower) {
                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                // right, when we'll need _more_ currency0 (it's becoming more valuable) so user must provide it
                delta = toBalanceDelta(
                    SqrtPriceMath.getAmount0Delta(
                        TickMath.getSqrtPriceAtTick(tickLower), TickMath.getSqrtPriceAtTick(tickUpper), liquidityDelta
                    ).toInt128(),
                    0
                );
            } else if (tick < tickUpper) {
                delta = toBalanceDelta(
                    SqrtPriceMath.getAmount0Delta(sqrtPriceX96, TickMath.getSqrtPriceAtTick(tickUpper), liquidityDelta)
                        .toInt128(),
                    SqrtPriceMath.getAmount1Delta(TickMath.getSqrtPriceAtTick(tickLower), sqrtPriceX96, liquidityDelta)
                        .toInt128()
                );
                self.liquidity = LiquidityMath.addDelta(self.liquidity, liquidityDelta);
            } else {
                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                // left, when we'll need _more_ currency1 (it's becoming more valuable) so user must provide it
                delta = toBalanceDelta(
                    0,
                    SqrtPriceMath.getAmount1Delta(
                        TickMath.getSqrtPriceAtTick(tickLower), TickMath.getSqrtPriceAtTick(tickUpper), liquidityDelta
                    ).toInt128()
                );
            }
        }
    }
    // Tracks the state of a pool throughout a swap, and returns these values at the end of the swap
    struct SwapResult {
        // the current sqrt(price)
        uint160 sqrtPriceX96;
        // the tick associated with the current price
        int24 tick;
        // the current liquidity in range
        uint128 liquidity;
    }
    struct StepComputations {
        // the price at the beginning of the step
        uint160 sqrtPriceStartX96;
        // the next tick to swap to from the current tick in the swap direction
        int24 tickNext;
        // whether tickNext is initialized or not
        bool initialized;
        // sqrt(price) for the next tick (1/0)
        uint160 sqrtPriceNextX96;
        // how much is being swapped in in this step
        uint256 amountIn;
        // how much is being swapped out
        uint256 amountOut;
        // how much fee is being paid in
        uint256 feeAmount;
        // the global fee growth of the input token. updated in storage at the end of swap
        uint256 feeGrowthGlobalX128;
    }
    struct SwapParams {
        int256 amountSpecified;
        int24 tickSpacing;
        bool zeroForOne;
        uint160 sqrtPriceLimitX96;
        uint24 lpFeeOverride;
    }
    /// @notice Executes a swap against the state, and returns the amount deltas of the pool
    /// @dev PoolManager checks that the pool is initialized before calling
    function swap(State storage self, SwapParams memory params)
        internal
        returns (BalanceDelta swapDelta, uint256 amountToProtocol, uint24 swapFee, SwapResult memory result)
    {
        Slot0 slot0Start = self.slot0;
        bool zeroForOne = params.zeroForOne;
        uint256 protocolFee =
            zeroForOne ? slot0Start.protocolFee().getZeroForOneFee() : slot0Start.protocolFee().getOneForZeroFee();
        // the amount remaining to be swapped in/out of the input/output asset. initially set to the amountSpecified
        int256 amountSpecifiedRemaining = params.amountSpecified;
        // the amount swapped out/in of the output/input asset. initially set to 0
        int256 amountCalculated = 0;
        // initialize to the current sqrt(price)
        result.sqrtPriceX96 = slot0Start.sqrtPriceX96();
        // initialize to the current tick
        result.tick = slot0Start.tick();
        // initialize to the current liquidity
        result.liquidity = self.liquidity;
        // if the beforeSwap hook returned a valid fee override, use that as the LP fee, otherwise load from storage
        // lpFee, swapFee, and protocolFee are all in pips
        {
            uint24 lpFee = params.lpFeeOverride.isOverride()
                ? params.lpFeeOverride.removeOverrideFlagAndValidate()
                : slot0Start.lpFee();
            swapFee = protocolFee == 0 ? lpFee : uint16(protocolFee).calculateSwapFee(lpFee);
        }
        // a swap fee totaling MAX_SWAP_FEE (100%) makes exact output swaps impossible since the input is entirely consumed by the fee
        if (swapFee >= SwapMath.MAX_SWAP_FEE) {
            // if exactOutput
            if (params.amountSpecified > 0) {
                InvalidFeeForExactOut.selector.revertWith();
            }
        }
        // swapFee is the pool's fee in pips (LP fee + protocol fee)
        // when the amount swapped is 0, there is no protocolFee applied and the fee amount paid to the protocol is set to 0
        if (params.amountSpecified == 0) return (BalanceDeltaLibrary.ZERO_DELTA, 0, swapFee, result);
        if (zeroForOne) {
            if (params.sqrtPriceLimitX96 >= slot0Start.sqrtPriceX96()) {
                PriceLimitAlreadyExceeded.selector.revertWith(slot0Start.sqrtPriceX96(), params.sqrtPriceLimitX96);
            }
            // Swaps can never occur at MIN_TICK, only at MIN_TICK + 1, except at initialization of a pool
            // Under certain circumstances outlined below, the tick will preemptively reach MIN_TICK without swapping there
            if (params.sqrtPriceLimitX96 <= TickMath.MIN_SQRT_PRICE) {
                PriceLimitOutOfBounds.selector.revertWith(params.sqrtPriceLimitX96);
            }
        } else {
            if (params.sqrtPriceLimitX96 <= slot0Start.sqrtPriceX96()) {
                PriceLimitAlreadyExceeded.selector.revertWith(slot0Start.sqrtPriceX96(), params.sqrtPriceLimitX96);
            }
            if (params.sqrtPriceLimitX96 >= TickMath.MAX_SQRT_PRICE) {
                PriceLimitOutOfBounds.selector.revertWith(params.sqrtPriceLimitX96);
            }
        }
        StepComputations memory step;
        step.feeGrowthGlobalX128 = zeroForOne ? self.feeGrowthGlobal0X128 : self.feeGrowthGlobal1X128;
        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
        while (!(amountSpecifiedRemaining == 0 || result.sqrtPriceX96 == params.sqrtPriceLimitX96)) {
            step.sqrtPriceStartX96 = result.sqrtPriceX96;
            (step.tickNext, step.initialized) =
                self.tickBitmap.nextInitializedTickWithinOneWord(result.tick, params.tickSpacing, zeroForOne);
            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
            if (step.tickNext <= TickMath.MIN_TICK) {
                step.tickNext = TickMath.MIN_TICK;
            }
            if (step.tickNext >= TickMath.MAX_TICK) {
                step.tickNext = TickMath.MAX_TICK;
            }
            // get the price for the next tick
            step.sqrtPriceNextX96 = TickMath.getSqrtPriceAtTick(step.tickNext);
            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
            (result.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                result.sqrtPriceX96,
                SwapMath.getSqrtPriceTarget(zeroForOne, step.sqrtPriceNextX96, params.sqrtPriceLimitX96),
                result.liquidity,
                amountSpecifiedRemaining,
                swapFee
            );
            // if exactOutput
            if (params.amountSpecified > 0) {
                unchecked {
                    amountSpecifiedRemaining -= step.amountOut.toInt256();
                }
                amountCalculated -= (step.amountIn + step.feeAmount).toInt256();
            } else {
                // safe because we test that amountSpecified > amountIn + feeAmount in SwapMath
                unchecked {
                    amountSpecifiedRemaining += (step.amountIn + step.feeAmount).toInt256();
                }
                amountCalculated += step.amountOut.toInt256();
            }
            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
            if (protocolFee > 0) {
                unchecked {
                    // step.amountIn does not include the swap fee, as it's already been taken from it,
                    // so add it back to get the total amountIn and use that to calculate the amount of fees owed to the protocol
                    // cannot overflow due to limits on the size of protocolFee and params.amountSpecified
                    // this rounds down to favor LPs over the protocol
                    uint256 delta = (swapFee == protocolFee)
                        ? step.feeAmount // lp fee is 0, so the entire fee is owed to the protocol instead
                        : (step.amountIn + step.feeAmount) * protocolFee / ProtocolFeeLibrary.PIPS_DENOMINATOR;
                    // subtract it from the total fee and add it to the protocol fee
                    step.feeAmount -= delta;
                    amountToProtocol += delta;
                }
            }
            // update global fee tracker
            if (result.liquidity > 0) {
                unchecked {
                    // FullMath.mulDiv isn't needed as the numerator can't overflow uint256 since tokens have a max supply of type(uint128).max
                    step.feeGrowthGlobalX128 +=
                        UnsafeMath.simpleMulDiv(step.feeAmount, FixedPoint128.Q128, result.liquidity);
                }
            }
            // Shift tick if we reached the next price, and preemptively decrement for zeroForOne swaps to tickNext - 1.
            // If the swap doesn't continue (if amountRemaining == 0 or sqrtPriceLimit is met), slot0.tick will be 1 less
            // than getTickAtSqrtPrice(slot0.sqrtPrice). This doesn't affect swaps, but donation calls should verify both
            // price and tick to reward the correct LPs.
            if (result.sqrtPriceX96 == step.sqrtPriceNextX96) {
                // if the tick is initialized, run the tick transition
                if (step.initialized) {
                    (uint256 feeGrowthGlobal0X128, uint256 feeGrowthGlobal1X128) = zeroForOne
                        ? (step.feeGrowthGlobalX128, self.feeGrowthGlobal1X128)
                        : (self.feeGrowthGlobal0X128, step.feeGrowthGlobalX128);
                    int128 liquidityNet =
                        Pool.crossTick(self, step.tickNext, feeGrowthGlobal0X128, feeGrowthGlobal1X128);
                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                    // safe because liquidityNet cannot be type(int128).min
                    unchecked {
                        if (zeroForOne) liquidityNet = -liquidityNet;
                    }
                    result.liquidity = LiquidityMath.addDelta(result.liquidity, liquidityNet);
                }
                unchecked {
                    result.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
                }
            } else if (result.sqrtPriceX96 != step.sqrtPriceStartX96) {
                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                result.tick = TickMath.getTickAtSqrtPrice(result.sqrtPriceX96);
            }
        }
        self.slot0 = slot0Start.setTick(result.tick).setSqrtPriceX96(result.sqrtPriceX96);
        // update liquidity if it changed
        if (self.liquidity != result.liquidity) self.liquidity = result.liquidity;
        // update fee growth global
        if (!zeroForOne) {
            self.feeGrowthGlobal1X128 = step.feeGrowthGlobalX128;
        } else {
            self.feeGrowthGlobal0X128 = step.feeGrowthGlobalX128;
        }
        unchecked {
            // "if currency1 is specified"
            if (zeroForOne != (params.amountSpecified < 0)) {
                swapDelta = toBalanceDelta(
                    amountCalculated.toInt128(), (params.amountSpecified - amountSpecifiedRemaining).toInt128()
                );
            } else {
                swapDelta = toBalanceDelta(
                    (params.amountSpecified - amountSpecifiedRemaining).toInt128(), amountCalculated.toInt128()
                );
            }
        }
    }
    /// @notice Donates the given amount of currency0 and currency1 to the pool
    function donate(State storage state, uint256 amount0, uint256 amount1) internal returns (BalanceDelta delta) {
        uint128 liquidity = state.liquidity;
        if (liquidity == 0) NoLiquidityToReceiveFees.selector.revertWith();
        unchecked {
            // negation safe as amount0 and amount1 are always positive
            delta = toBalanceDelta(-(amount0.toInt128()), -(amount1.toInt128()));
            // FullMath.mulDiv is unnecessary because the numerator is bounded by type(int128).max * Q128, which is less than type(uint256).max
            if (amount0 > 0) {
                state.feeGrowthGlobal0X128 += UnsafeMath.simpleMulDiv(amount0, FixedPoint128.Q128, liquidity);
            }
            if (amount1 > 0) {
                state.feeGrowthGlobal1X128 += UnsafeMath.simpleMulDiv(amount1, FixedPoint128.Q128, liquidity);
            }
        }
    }
    /// @notice Retrieves fee growth data
    /// @param self The Pool state struct
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function getFeeGrowthInside(State storage self, int24 tickLower, int24 tickUpper)
        internal
        view
        returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128)
    {
        TickInfo storage lower = self.ticks[tickLower];
        TickInfo storage upper = self.ticks[tickUpper];
        int24 tickCurrent = self.slot0.tick();
        unchecked {
            if (tickCurrent < tickLower) {
                feeGrowthInside0X128 = lower.feeGrowthOutside0X128 - upper.feeGrowthOutside0X128;
                feeGrowthInside1X128 = lower.feeGrowthOutside1X128 - upper.feeGrowthOutside1X128;
            } else if (tickCurrent >= tickUpper) {
                feeGrowthInside0X128 = upper.feeGrowthOutside0X128 - lower.feeGrowthOutside0X128;
                feeGrowthInside1X128 = upper.feeGrowthOutside1X128 - lower.feeGrowthOutside1X128;
            } else {
                feeGrowthInside0X128 =
                    self.feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128 - upper.feeGrowthOutside0X128;
                feeGrowthInside1X128 =
                    self.feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128 - upper.feeGrowthOutside1X128;
            }
        }
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    /// @return liquidityGrossAfter The total amount of liquidity for all positions that references the tick after the update
    function updateTick(State storage self, int24 tick, int128 liquidityDelta, bool upper)
        internal
        returns (bool flipped, uint128 liquidityGrossAfter)
    {
        TickInfo storage info = self.ticks[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        int128 liquidityNetBefore = info.liquidityNet;
        liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= self.slot0.tick()) {
                info.feeGrowthOutside0X128 = self.feeGrowthGlobal0X128;
                info.feeGrowthOutside1X128 = self.feeGrowthGlobal1X128;
            }
        }
        // when the lower (upper) tick is crossed left to right, liquidity must be added (removed)
        // when the lower (upper) tick is crossed right to left, liquidity must be removed (added)
        int128 liquidityNet = upper ? liquidityNetBefore - liquidityDelta : liquidityNetBefore + liquidityDelta;
        assembly ("memory-safe") {
            // liquidityGrossAfter and liquidityNet are packed in the first slot of `info`
            // So we can store them with a single sstore by packing them ourselves first
            sstore(
                info.slot,
                // bitwise OR to pack liquidityGrossAfter and liquidityNet
                or(
                    // Put liquidityGrossAfter in the lower bits, clearing out the upper bits
                    and(liquidityGrossAfter, 0xffffffffffffffffffffffffffffffff),
                    // Shift liquidityNet to put it in the upper bits (no need for signextend since we're shifting left)
                    shl(128, liquidityNet)
                )
            )
        }
    }
    /// @notice Derives max liquidity per tick from given tick spacing
    /// @dev Executed when adding liquidity
    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
    /// @return result The max liquidity per tick
    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128 result) {
        // Equivalent to:
        // int24 minTick = (TickMath.MIN_TICK / tickSpacing);
        // if (TickMath.MIN_TICK  % tickSpacing != 0) minTick--;
        // int24 maxTick = (TickMath.MAX_TICK / tickSpacing);
        // uint24 numTicks = maxTick - minTick + 1;
        // return type(uint128).max / numTicks;
        int24 MAX_TICK = TickMath.MAX_TICK;
        int24 MIN_TICK = TickMath.MIN_TICK;
        // tick spacing will never be 0 since TickMath.MIN_TICK_SPACING is 1
        assembly ("memory-safe") {
            tickSpacing := signextend(2, tickSpacing)
            let minTick := sub(sdiv(MIN_TICK, tickSpacing), slt(smod(MIN_TICK, tickSpacing), 0))
            let maxTick := sdiv(MAX_TICK, tickSpacing)
            let numTicks := add(sub(maxTick, minTick), 1)
            result := div(sub(shl(128, 1), 1), numTicks)
        }
    }
    /// @notice Reverts if the given pool has not been initialized
    function checkPoolInitialized(State storage self) internal view {
        if (self.slot0.sqrtPriceX96() == 0) PoolNotInitialized.selector.revertWith();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clearTick(State storage self, int24 tick) internal {
        delete self.ticks[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The Pool state struct
    /// @param tick The destination tick of the transition
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function crossTick(State storage self, int24 tick, uint256 feeGrowthGlobal0X128, uint256 feeGrowthGlobal1X128)
        internal
        returns (int128 liquidityNet)
    {
        unchecked {
            TickInfo storage info = self.ticks[tick];
            info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
            info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
            liquidityNet = info.liquidityNet;
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {CustomRevert} from "./CustomRevert.sol";
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    using CustomRevert for bytes4;
    error SafeCastOverflow();
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param x The uint256 to be downcasted
    /// @return y The downcasted integer, now type uint160
    function toUint160(uint256 x) internal pure returns (uint160 y) {
        y = uint160(x);
        if (y != x) SafeCastOverflow.selector.revertWith();
    }
    /// @notice Cast a uint256 to a uint128, revert on overflow
    /// @param x The uint256 to be downcasted
    /// @return y The downcasted integer, now type uint128
    function toUint128(uint256 x) internal pure returns (uint128 y) {
        y = uint128(x);
        if (x != y) SafeCastOverflow.selector.revertWith();
    }
    /// @notice Cast a int128 to a uint128, revert on overflow or underflow
    /// @param x The int128 to be casted
    /// @return y The casted integer, now type uint128
    function toUint128(int128 x) internal pure returns (uint128 y) {
        if (x < 0) SafeCastOverflow.selector.revertWith();
        y = uint128(x);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param x The int256 to be downcasted
    /// @return y The downcasted integer, now type int128
    function toInt128(int256 x) internal pure returns (int128 y) {
        y = int128(x);
        if (y != x) SafeCastOverflow.selector.revertWith();
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param x The uint256 to be casted
    /// @return y The casted integer, now type int256
    function toInt256(uint256 x) internal pure returns (int256 y) {
        y = int256(x);
        if (y < 0) SafeCastOverflow.selector.revertWith();
    }
    /// @notice Cast a uint256 to a int128, revert on overflow
    /// @param x The uint256 to be downcasted
    /// @return The downcasted integer, now type int128
    function toInt128(uint256 x) internal pure returns (int128) {
        if (x >= 1 << 127) SafeCastOverflow.selector.revertWith();
        return int128(int256(x));
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.0;
import {FullMath} from "./FullMath.sol";
import {FixedPoint128} from "./FixedPoint128.sol";
import {LiquidityMath} from "./LiquidityMath.sol";
import {CustomRevert} from "./CustomRevert.sol";
/// @title Position
/// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
/// @dev Positions store additional state for tracking fees owed to the position
library Position {
    using CustomRevert for bytes4;
    /// @notice Cannot update a position with no liquidity
    error CannotUpdateEmptyPosition();
    // info stored for each user's position
    struct State {
        // the amount of liquidity owned by this position
        uint128 liquidity;
        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
        uint256 feeGrowthInside0LastX128;
        uint256 feeGrowthInside1LastX128;
    }
    /// @notice Returns the State struct of a position, given an owner and position boundaries
    /// @param self The mapping containing all user positions
    /// @param owner The address of the position owner
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param salt A unique value to differentiate between multiple positions in the same range
    /// @return position The position info struct of the given owners' position
    function get(mapping(bytes32 => State) storage self, address owner, int24 tickLower, int24 tickUpper, bytes32 salt)
        internal
        view
        returns (State storage position)
    {
        bytes32 positionKey = calculatePositionKey(owner, tickLower, tickUpper, salt);
        position = self[positionKey];
    }
    /// @notice A helper function to calculate the position key
    /// @param owner The address of the position owner
    /// @param tickLower the lower tick boundary of the position
    /// @param tickUpper the upper tick boundary of the position
    /// @param salt A unique value to differentiate between multiple positions in the same range, by the same owner. Passed in by the caller.
    function calculatePositionKey(address owner, int24 tickLower, int24 tickUpper, bytes32 salt)
        internal
        pure
        returns (bytes32 positionKey)
    {
        // positionKey = keccak256(abi.encodePacked(owner, tickLower, tickUpper, salt))
        assembly ("memory-safe") {
            let fmp := mload(0x40)
            mstore(add(fmp, 0x26), salt) // [0x26, 0x46)
            mstore(add(fmp, 0x06), tickUpper) // [0x23, 0x26)
            mstore(add(fmp, 0x03), tickLower) // [0x20, 0x23)
            mstore(fmp, owner) // [0x0c, 0x20)
            positionKey := keccak256(add(fmp, 0x0c), 0x3a) // len is 58 bytes
            // now clean the memory we used
            mstore(add(fmp, 0x40), 0) // fmp+0x40 held salt
            mstore(add(fmp, 0x20), 0) // fmp+0x20 held tickLower, tickUpper, salt
            mstore(fmp, 0) // fmp held owner
        }
    }
    /// @notice Credits accumulated fees to a user's position
    /// @param self The individual position to update
    /// @param liquidityDelta The change in pool liquidity as a result of the position update
    /// @param feeGrowthInside0X128 The all-time fee growth in currency0, per unit of liquidity, inside the position's tick boundaries
    /// @param feeGrowthInside1X128 The all-time fee growth in currency1, per unit of liquidity, inside the position's tick boundaries
    /// @return feesOwed0 The amount of currency0 owed to the position owner
    /// @return feesOwed1 The amount of currency1 owed to the position owner
    function update(
        State storage self,
        int128 liquidityDelta,
        uint256 feeGrowthInside0X128,
        uint256 feeGrowthInside1X128
    ) internal returns (uint256 feesOwed0, uint256 feesOwed1) {
        uint128 liquidity = self.liquidity;
        if (liquidityDelta == 0) {
            // disallow pokes for 0 liquidity positions
            if (liquidity == 0) CannotUpdateEmptyPosition.selector.revertWith();
        } else {
            self.liquidity = LiquidityMath.addDelta(liquidity, liquidityDelta);
        }
        // calculate accumulated fees. overflow in the subtraction of fee growth is expected
        unchecked {
            feesOwed0 =
                FullMath.mulDiv(feeGrowthInside0X128 - self.feeGrowthInside0LastX128, liquidity, FixedPoint128.Q128);
            feesOwed1 =
                FullMath.mulDiv(feeGrowthInside1X128 - self.feeGrowthInside1LastX128, liquidity, FixedPoint128.Q128);
        }
        // update the position
        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {CustomRevert} from "./CustomRevert.sol";
/// @notice Library of helper functions for a pools LP fee
library LPFeeLibrary {
    using LPFeeLibrary for uint24;
    using CustomRevert for bytes4;
    /// @notice Thrown when the static or dynamic fee on a pool exceeds 100%.
    error LPFeeTooLarge(uint24 fee);
    /// @notice An lp fee of exactly 0b1000000... signals a dynamic fee pool. This isn't a valid static fee as it is > MAX_LP_FEE
    uint24 public constant DYNAMIC_FEE_FLAG = 0x800000;
    /// @notice the second bit of the fee returned by beforeSwap is used to signal if the stored LP fee should be overridden in this swap
    // only dynamic-fee pools can return a fee via the beforeSwap hook
    uint24 public constant OVERRIDE_FEE_FLAG = 0x400000;
    /// @notice mask to remove the override fee flag from a fee returned by the beforeSwaphook
    uint24 public constant REMOVE_OVERRIDE_MASK = 0xBFFFFF;
    /// @notice the lp fee is represented in hundredths of a bip, so the max is 100%
    uint24 public constant MAX_LP_FEE = 1000000;
    /// @notice returns true if a pool's LP fee signals that the pool has a dynamic fee
    /// @param self The fee to check
    /// @return bool True of the fee is dynamic
    function isDynamicFee(uint24 self) internal pure returns (bool) {
        return self == DYNAMIC_FEE_FLAG;
    }
    /// @notice returns true if an LP fee is valid, aka not above the maximum permitted fee
    /// @param self The fee to check
    /// @return bool True of the fee is valid
    function isValid(uint24 self) internal pure returns (bool) {
        return self <= MAX_LP_FEE;
    }
    /// @notice validates whether an LP fee is larger than the maximum, and reverts if invalid
    /// @param self The fee to validate
    function validate(uint24 self) internal pure {
        if (!self.isValid()) LPFeeTooLarge.selector.revertWith(self);
    }
    /// @notice gets and validates the initial LP fee for a pool. Dynamic fee pools have an initial fee of 0.
    /// @dev if a dynamic fee pool wants a non-0 initial fee, it should call `updateDynamicLPFee` in the afterInitialize hook
    /// @param self The fee to get the initial LP from
    /// @return initialFee 0 if the fee is dynamic, otherwise the fee (if valid)
    function getInitialLPFee(uint24 self) internal pure returns (uint24) {
        // the initial fee for a dynamic fee pool is 0
        if (self.isDynamicFee()) return 0;
        self.validate();
        return self;
    }
    /// @notice returns true if the fee has the override flag set (2nd highest bit of the uint24)
    /// @param self The fee to check
    /// @return bool True of the fee has the override flag set
    function isOverride(uint24 self) internal pure returns (bool) {
        return self & OVERRIDE_FEE_FLAG != 0;
    }
    /// @notice returns a fee with the override flag removed
    /// @param self The fee to remove the override flag from
    /// @return fee The fee without the override flag set
    function removeOverrideFlag(uint24 self) internal pure returns (uint24) {
        return self & REMOVE_OVERRIDE_MASK;
    }
    /// @notice Removes the override flag and validates the fee (reverts if the fee is too large)
    /// @param self The fee to remove the override flag from, and then validate
    /// @return fee The fee without the override flag set (if valid)
    function removeOverrideFlagAndValidate(uint24 self) internal pure returns (uint24 fee) {
        fee = self.removeOverrideFlag();
        fee.validate();
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {IERC20Minimal} from "../interfaces/external/IERC20Minimal.sol";
import {CustomRevert} from "../libraries/CustomRevert.sol";
type Currency is address;
using {greaterThan as >, lessThan as <, greaterThanOrEqualTo as >=, equals as ==} for Currency global;
using CurrencyLibrary for Currency global;
function equals(Currency currency, Currency other) pure returns (bool) {
    return Currency.unwrap(currency) == Currency.unwrap(other);
}
function greaterThan(Currency currency, Currency other) pure returns (bool) {
    return Currency.unwrap(currency) > Currency.unwrap(other);
}
function lessThan(Currency currency, Currency other) pure returns (bool) {
    return Currency.unwrap(currency) < Currency.unwrap(other);
}
function greaterThanOrEqualTo(Currency currency, Currency other) pure returns (bool) {
    return Currency.unwrap(currency) >= Currency.unwrap(other);
}
/// @title CurrencyLibrary
/// @dev This library allows for transferring and holding native tokens and ERC20 tokens
library CurrencyLibrary {
    /// @notice Additional context for ERC-7751 wrapped error when a native transfer fails
    error NativeTransferFailed();
    /// @notice Additional context for ERC-7751 wrapped error when an ERC20 transfer fails
    error ERC20TransferFailed();
    /// @notice A constant to represent the native currency
    Currency public constant ADDRESS_ZERO = Currency.wrap(address(0));
    function transfer(Currency currency, address to, uint256 amount) internal {
        // altered from https://github.com/transmissions11/solmate/blob/44a9963d4c78111f77caa0e65d677b8b46d6f2e6/src/utils/SafeTransferLib.sol
        // modified custom error selectors
        bool success;
        if (currency.isAddressZero()) {
            assembly ("memory-safe") {
                // Transfer the ETH and revert if it fails.
                success := call(gas(), to, amount, 0, 0, 0, 0)
            }
            // revert with NativeTransferFailed, containing the bubbled up error as an argument
            if (!success) {
                CustomRevert.bubbleUpAndRevertWith(to, bytes4(0), NativeTransferFailed.selector);
            }
        } else {
            assembly ("memory-safe") {
                // Get a pointer to some free memory.
                let fmp := mload(0x40)
                // Write the abi-encoded calldata into memory, beginning with the function selector.
                mstore(fmp, 0xa9059cbb00000000000000000000000000000000000000000000000000000000)
                mstore(add(fmp, 4), and(to, 0xffffffffffffffffffffffffffffffffffffffff)) // Append and mask the "to" argument.
                mstore(add(fmp, 36), amount) // Append the "amount" argument. Masking not required as it's a full 32 byte type.
                success :=
                    and(
                        // Set success to whether the call reverted, if not we check it either
                        // returned exactly 1 (can't just be non-zero data), or had no return data.
                        or(and(eq(mload(0), 1), gt(returndatasize(), 31)), iszero(returndatasize())),
                        // We use 68 because the length of our calldata totals up like so: 4 + 32 * 2.
                        // We use 0 and 32 to copy up to 32 bytes of return data into the scratch space.
                        // Counterintuitively, this call must be positioned second to the or() call in the
                        // surrounding and() call or else returndatasize() will be zero during the computation.
                        call(gas(), currency, 0, fmp, 68, 0, 32)
                    )
                // Now clean the memory we used
                mstore(fmp, 0) // 4 byte `selector` and 28 bytes of `to` were stored here
                mstore(add(fmp, 0x20), 0) // 4 bytes of `to` and 28 bytes of `amount` were stored here
                mstore(add(fmp, 0x40), 0) // 4 bytes of `amount` were stored here
            }
            // revert with ERC20TransferFailed, containing the bubbled up error as an argument
            if (!success) {
                CustomRevert.bubbleUpAndRevertWith(
                    Currency.unwrap(currency), IERC20Minimal.transfer.selector, ERC20TransferFailed.selector
                );
            }
        }
    }
    function balanceOfSelf(Currency currency) internal view returns (uint256) {
        if (currency.isAddressZero()) {
            return address(this).balance;
        } else {
            return IERC20Minimal(Currency.unwrap(currency)).balanceOf(address(this));
        }
    }
    function balanceOf(Currency currency, address owner) internal view returns (uint256) {
        if (currency.isAddressZero()) {
            return owner.balance;
        } else {
            return IERC20Minimal(Currency.unwrap(currency)).balanceOf(owner);
        }
    }
    function isAddressZero(Currency currency) internal pure returns (bool) {
        return Currency.unwrap(currency) == Currency.unwrap(ADDRESS_ZERO);
    }
    function toId(Currency currency) internal pure returns (uint256) {
        return uint160(Currency.unwrap(currency));
    }
    // If the upper 12 bytes are non-zero, they will be zero-ed out
    // Therefore, fromId() and toId() are not inverses of each other
    function fromId(uint256 id) internal pure returns (Currency) {
        return Currency.wrap(address(uint160(id)));
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {Currency} from "./Currency.sol";
import {IHooks} from "../interfaces/IHooks.sol";
import {PoolIdLibrary} from "./PoolId.sol";
using PoolIdLibrary for PoolKey global;
/// @notice Returns the key for identifying a pool
struct PoolKey {
    /// @notice The lower currency of the pool, sorted numerically
    Currency currency0;
    /// @notice The higher currency of the pool, sorted numerically
    Currency currency1;
    /// @notice The pool LP fee, capped at 1_000_000. If the highest bit is 1, the pool has a dynamic fee and must be exactly equal to 0x800000
    uint24 fee;
    /// @notice Ticks that involve positions must be a multiple of tick spacing
    int24 tickSpacing;
    /// @notice The hooks of the pool
    IHooks hooks;
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {BitMath} from "./BitMath.sol";
import {CustomRevert} from "./CustomRevert.sol";
/// @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 {
    using CustomRevert for bytes4;
    /// @notice Thrown when the tick passed to #getSqrtPriceAtTick is not between MIN_TICK and MAX_TICK
    error InvalidTick(int24 tick);
    /// @notice Thrown when the price passed to #getTickAtSqrtPrice does not correspond to a price between MIN_TICK and MAX_TICK
    error InvalidSqrtPrice(uint160 sqrtPriceX96);
    /// @dev The minimum tick that may be passed to #getSqrtPriceAtTick computed from log base 1.0001 of 2**-128
    /// @dev If ever MIN_TICK and MAX_TICK are not centered around 0, the absTick logic in getSqrtPriceAtTick cannot be used
    int24 internal constant MIN_TICK = -887272;
    /// @dev The maximum tick that may be passed to #getSqrtPriceAtTick computed from log base 1.0001 of 2**128
    /// @dev If ever MIN_TICK and MAX_TICK are not centered around 0, the absTick logic in getSqrtPriceAtTick cannot be used
    int24 internal constant MAX_TICK = 887272;
    /// @dev The minimum tick spacing value drawn from the range of type int16 that is greater than 0, i.e. min from the range [1, 32767]
    int24 internal constant MIN_TICK_SPACING = 1;
    /// @dev The maximum tick spacing value drawn from the range of type int16, i.e. max from the range [1, 32767]
    int24 internal constant MAX_TICK_SPACING = type(int16).max;
    /// @dev The minimum value that can be returned from #getSqrtPriceAtTick. Equivalent to getSqrtPriceAtTick(MIN_TICK)
    uint160 internal constant MIN_SQRT_PRICE = 4295128739;
    /// @dev The maximum value that can be returned from #getSqrtPriceAtTick. Equivalent to getSqrtPriceAtTick(MAX_TICK)
    uint160 internal constant MAX_SQRT_PRICE = 1461446703485210103287273052203988822378723970342;
    /// @dev A threshold used for optimized bounds check, equals `MAX_SQRT_PRICE - MIN_SQRT_PRICE - 1`
    uint160 internal constant MAX_SQRT_PRICE_MINUS_MIN_SQRT_PRICE_MINUS_ONE =
        1461446703485210103287273052203988822378723970342 - 4295128739 - 1;
    /// @notice Given a tickSpacing, compute the maximum usable tick
    function maxUsableTick(int24 tickSpacing) internal pure returns (int24) {
        unchecked {
            return (MAX_TICK / tickSpacing) * tickSpacing;
        }
    }
    /// @notice Given a tickSpacing, compute the minimum usable tick
    function minUsableTick(int24 tickSpacing) internal pure returns (int24) {
        unchecked {
            return (MIN_TICK / tickSpacing) * tickSpacing;
        }
    }
    /// @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 price of the two assets (currency1/currency0)
    /// at the given tick
    function getSqrtPriceAtTick(int24 tick) internal pure returns (uint160 sqrtPriceX96) {
        unchecked {
            uint256 absTick;
            assembly ("memory-safe") {
                tick := signextend(2, tick)
                // mask = 0 if tick >= 0 else -1 (all 1s)
                let mask := sar(255, tick)
                // if tick >= 0, |tick| = tick = 0 ^ tick
                // if tick < 0, |tick| = ~~|tick| = ~(-|tick| - 1) = ~(tick - 1) = (-1) ^ (tick - 1)
                // either way, |tick| = mask ^ (tick + mask)
                absTick := xor(mask, add(mask, tick))
            }
            if (absTick > uint256(int256(MAX_TICK))) InvalidTick.selector.revertWith(tick);
            // The tick is decomposed into bits, and for each bit with index i that is set, the product of 1/sqrt(1.0001^(2^i))
            // is calculated (using Q128.128). The constants used for this calculation are rounded to the nearest integer
            // Equivalent to:
            //     price = absTick & 0x1 != 0 ? 0xfffcb933bd6fad37aa2d162d1a594001 : 0x100000000000000000000000000000000;
            //     or price = int(2**128 / sqrt(1.0001)) if (absTick & 0x1) else 1 << 128
            uint256 price;
            assembly ("memory-safe") {
                price := xor(shl(128, 1), mul(xor(shl(128, 1), 0xfffcb933bd6fad37aa2d162d1a594001), and(absTick, 0x1)))
            }
            if (absTick & 0x2 != 0) price = (price * 0xfff97272373d413259a46990580e213a) >> 128;
            if (absTick & 0x4 != 0) price = (price * 0xfff2e50f5f656932ef12357cf3c7fdcc) >> 128;
            if (absTick & 0x8 != 0) price = (price * 0xffe5caca7e10e4e61c3624eaa0941cd0) >> 128;
            if (absTick & 0x10 != 0) price = (price * 0xffcb9843d60f6159c9db58835c926644) >> 128;
            if (absTick & 0x20 != 0) price = (price * 0xff973b41fa98c081472e6896dfb254c0) >> 128;
            if (absTick & 0x40 != 0) price = (price * 0xff2ea16466c96a3843ec78b326b52861) >> 128;
            if (absTick & 0x80 != 0) price = (price * 0xfe5dee046a99a2a811c461f1969c3053) >> 128;
            if (absTick & 0x100 != 0) price = (price * 0xfcbe86c7900a88aedcffc83b479aa3a4) >> 128;
            if (absTick & 0x200 != 0) price = (price * 0xf987a7253ac413176f2b074cf7815e54) >> 128;
            if (absTick & 0x400 != 0) price = (price * 0xf3392b0822b70005940c7a398e4b70f3) >> 128;
            if (absTick & 0x800 != 0) price = (price * 0xe7159475a2c29b7443b29c7fa6e889d9) >> 128;
            if (absTick & 0x1000 != 0) price = (price * 0xd097f3bdfd2022b8845ad8f792aa5825) >> 128;
            if (absTick & 0x2000 != 0) price = (price * 0xa9f746462d870fdf8a65dc1f90e061e5) >> 128;
            if (absTick & 0x4000 != 0) price = (price * 0x70d869a156d2a1b890bb3df62baf32f7) >> 128;
            if (absTick & 0x8000 != 0) price = (price * 0x31be135f97d08fd981231505542fcfa6) >> 128;
            if (absTick & 0x10000 != 0) price = (price * 0x9aa508b5b7a84e1c677de54f3e99bc9) >> 128;
            if (absTick & 0x20000 != 0) price = (price * 0x5d6af8dedb81196699c329225ee604) >> 128;
            if (absTick & 0x40000 != 0) price = (price * 0x2216e584f5fa1ea926041bedfe98) >> 128;
            if (absTick & 0x80000 != 0) price = (price * 0x48a170391f7dc42444e8fa2) >> 128;
            assembly ("memory-safe") {
                // if (tick > 0) price = type(uint256).max / price;
                if sgt(tick, 0) { price := div(not(0), price) }
                // 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 getTickAtSqrtPrice of the output price is always consistent
                // `sub(shl(32, 1), 1)` is `type(uint32).max`
                // `price + type(uint32).max` will not overflow because `price` fits in 192 bits
                sqrtPriceX96 := shr(32, add(price, sub(shl(32, 1), 1)))
            }
        }
    }
    /// @notice Calculates the greatest tick value such that getSqrtPriceAtTick(tick) <= sqrtPriceX96
    /// @dev Throws in case sqrtPriceX96 < MIN_SQRT_PRICE, as MIN_SQRT_PRICE is the lowest value getSqrtPriceAtTick may
    /// ever return.
    /// @param sqrtPriceX96 The sqrt price for which to compute the tick as a Q64.96
    /// @return tick The greatest tick for which the getSqrtPriceAtTick(tick) is less than or equal to the input sqrtPriceX96
    function getTickAtSqrtPrice(uint160 sqrtPriceX96) internal pure returns (int24 tick) {
        unchecked {
            // Equivalent: if (sqrtPriceX96 < MIN_SQRT_PRICE || sqrtPriceX96 >= MAX_SQRT_PRICE) revert InvalidSqrtPrice();
            // second inequality must be >= because the price can never reach the price at the max tick
            // if sqrtPriceX96 < MIN_SQRT_PRICE, the `sub` underflows and `gt` is true
            // if sqrtPriceX96 >= MAX_SQRT_PRICE, sqrtPriceX96 - MIN_SQRT_PRICE > MAX_SQRT_PRICE - MIN_SQRT_PRICE - 1
            if ((sqrtPriceX96 - MIN_SQRT_PRICE) > MAX_SQRT_PRICE_MINUS_MIN_SQRT_PRICE_MINUS_ONE) {
                InvalidSqrtPrice.selector.revertWith(sqrtPriceX96);
            }
            uint256 price = uint256(sqrtPriceX96) << 32;
            uint256 r = price;
            uint256 msb = BitMath.mostSignificantBit(r);
            if (msb >= 128) r = price >> (msb - 127);
            else r = price << (127 - msb);
            int256 log_2 = (int256(msb) - 128) << 64;
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(63, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(62, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(61, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(60, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(59, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(58, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(57, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(56, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(55, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(54, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(53, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(52, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                r := shr(127, mul(r, r))
                let f := shr(128, r)
                log_2 := or(log_2, shl(51, f))
                r := shr(f, r)
            }
            assembly ("memory-safe") {
                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; // Q22.128 number
            // Magic number represents the ceiling of the maximum value of the error when approximating log_sqrt10001(x)
            int24 tickLow = int24((log_sqrt10001 - 3402992956809132418596140100660247210) >> 128);
            // Magic number represents the minimum value of the error when approximating log_sqrt10001(x), when
            // sqrtPrice is from the range (2^-64, 2^64). This is safe as MIN_SQRT_PRICE is more than 2^-64. If MIN_SQRT_PRICE
            // is changed, this may need to be changed too
            int24 tickHi = int24((log_sqrt10001 + 291339464771989622907027621153398088495) >> 128);
            tick = tickLow == tickHi ? tickLow : getSqrtPriceAtTick(tickHi) <= sqrtPriceX96 ? tickHi : tickLow;
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {CustomRevert} from "./libraries/CustomRevert.sol";
/// @title Prevents delegatecall to a contract
/// @notice Base contract that provides a modifier for preventing delegatecall to methods in a child contract
abstract contract NoDelegateCall {
    using CustomRevert for bytes4;
    error DelegateCallNotAllowed();
    /// @dev The original address of this contract
    address private immutable original;
    constructor() {
        // Immutables are computed in the init code of the contract, and then inlined into the deployed bytecode.
        // In other words, this variable won't change when it's checked at runtime.
        original = address(this);
    }
    /// @dev Private method is used instead of inlining into modifier because modifiers are copied into each method,
    ///     and the use of immutable means the address bytes are copied in every place the modifier is used.
    function checkNotDelegateCall() private view {
        if (address(this) != original) DelegateCallNotAllowed.selector.revertWith();
    }
    /// @notice Prevents delegatecall into the modified method
    modifier noDelegateCall() {
        checkNotDelegateCall();
        _;
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {PoolKey} from "../types/PoolKey.sol";
import {BalanceDelta} from "../types/BalanceDelta.sol";
import {IPoolManager} from "./IPoolManager.sol";
import {BeforeSwapDelta} from "../types/BeforeSwapDelta.sol";
/// @notice V4 decides whether to invoke specific hooks by inspecting the least significant bits
/// of the address that the hooks contract is deployed to.
/// For example, a hooks contract deployed to address: 0x0000000000000000000000000000000000002400
/// has the lowest bits '10 0100 0000 0000' which would cause the 'before initialize' and 'after add liquidity' hooks to be used.
/// See the Hooks library for the full spec.
/// @dev Should only be callable by the v4 PoolManager.
interface IHooks {
    /// @notice The hook called before the state of a pool is initialized
    /// @param sender The initial msg.sender for the initialize call
    /// @param key The key for the pool being initialized
    /// @param sqrtPriceX96 The sqrt(price) of the pool as a Q64.96
    /// @return bytes4 The function selector for the hook
    function beforeInitialize(address sender, PoolKey calldata key, uint160 sqrtPriceX96) external returns (bytes4);
    /// @notice The hook called after the state of a pool is initialized
    /// @param sender The initial msg.sender for the initialize call
    /// @param key The key for the pool being initialized
    /// @param sqrtPriceX96 The sqrt(price) of the pool as a Q64.96
    /// @param tick The current tick after the state of a pool is initialized
    /// @return bytes4 The function selector for the hook
    function afterInitialize(address sender, PoolKey calldata key, uint160 sqrtPriceX96, int24 tick)
        external
        returns (bytes4);
    /// @notice The hook called before liquidity is added
    /// @param sender The initial msg.sender for the add liquidity call
    /// @param key The key for the pool
    /// @param params The parameters for adding liquidity
    /// @param hookData Arbitrary data handed into the PoolManager by the liquidity provider to be passed on to the hook
    /// @return bytes4 The function selector for the hook
    function beforeAddLiquidity(
        address sender,
        PoolKey calldata key,
        IPoolManager.ModifyLiquidityParams calldata params,
        bytes calldata hookData
    ) external returns (bytes4);
    /// @notice The hook called after liquidity is added
    /// @param sender The initial msg.sender for the add liquidity call
    /// @param key The key for the pool
    /// @param params The parameters for adding liquidity
    /// @param delta The caller's balance delta after adding liquidity; the sum of principal delta, fees accrued, and hook delta
    /// @param feesAccrued The fees accrued since the last time fees were collected from this position
    /// @param hookData Arbitrary data handed into the PoolManager by the liquidity provider to be passed on to the hook
    /// @return bytes4 The function selector for the hook
    /// @return BalanceDelta The hook's delta in token0 and token1. Positive: the hook is owed/took currency, negative: the hook owes/sent currency
    function afterAddLiquidity(
        address sender,
        PoolKey calldata key,
        IPoolManager.ModifyLiquidityParams calldata params,
        BalanceDelta delta,
        BalanceDelta feesAccrued,
        bytes calldata hookData
    ) external returns (bytes4, BalanceDelta);
    /// @notice The hook called before liquidity is removed
    /// @param sender The initial msg.sender for the remove liquidity call
    /// @param key The key for the pool
    /// @param params The parameters for removing liquidity
    /// @param hookData Arbitrary data handed into the PoolManager by the liquidity provider to be be passed on to the hook
    /// @return bytes4 The function selector for the hook
    function beforeRemoveLiquidity(
        address sender,
        PoolKey calldata key,
        IPoolManager.ModifyLiquidityParams calldata params,
        bytes calldata hookData
    ) external returns (bytes4);
    /// @notice The hook called after liquidity is removed
    /// @param sender The initial msg.sender for the remove liquidity call
    /// @param key The key for the pool
    /// @param params The parameters for removing liquidity
    /// @param delta The caller's balance delta after removing liquidity; the sum of principal delta, fees accrued, and hook delta
    /// @param feesAccrued The fees accrued since the last time fees were collected from this position
    /// @param hookData Arbitrary data handed into the PoolManager by the liquidity provider to be be passed on to the hook
    /// @return bytes4 The function selector for the hook
    /// @return BalanceDelta The hook's delta in token0 and token1. Positive: the hook is owed/took currency, negative: the hook owes/sent currency
    function afterRemoveLiquidity(
        address sender,
        PoolKey calldata key,
        IPoolManager.ModifyLiquidityParams calldata params,
        BalanceDelta delta,
        BalanceDelta feesAccrued,
        bytes calldata hookData
    ) external returns (bytes4, BalanceDelta);
    /// @notice The hook called before a swap
    /// @param sender The initial msg.sender for the swap call
    /// @param key The key for the pool
    /// @param params The parameters for the swap
    /// @param hookData Arbitrary data handed into the PoolManager by the swapper to be be passed on to the hook
    /// @return bytes4 The function selector for the hook
    /// @return BeforeSwapDelta The hook's delta in specified and unspecified currencies. Positive: the hook is owed/took currency, negative: the hook owes/sent currency
    /// @return uint24 Optionally override the lp fee, only used if three conditions are met: 1. the Pool has a dynamic fee, 2. the value's 2nd highest bit is set (23rd bit, 0x400000), and 3. the value is less than or equal to the maximum fee (1 million)
    function beforeSwap(
        address sender,
        PoolKey calldata key,
        IPoolManager.SwapParams calldata params,
        bytes calldata hookData
    ) external returns (bytes4, BeforeSwapDelta, uint24);
    /// @notice The hook called after a swap
    /// @param sender The initial msg.sender for the swap call
    /// @param key The key for the pool
    /// @param params The parameters for the swap
    /// @param delta The amount owed to the caller (positive) or owed to the pool (negative)
    /// @param hookData Arbitrary data handed into the PoolManager by the swapper to be be passed on to the hook
    /// @return bytes4 The function selector for the hook
    /// @return int128 The hook's delta in unspecified currency. Positive: the hook is owed/took currency, negative: the hook owes/sent currency
    function afterSwap(
        address sender,
        PoolKey calldata key,
        IPoolManager.SwapParams calldata params,
        BalanceDelta delta,
        bytes calldata hookData
    ) external returns (bytes4, int128);
    /// @notice The hook called before donate
    /// @param sender The initial msg.sender for the donate call
    /// @param key The key for the pool
    /// @param amount0 The amount of token0 being donated
    /// @param amount1 The amount of token1 being donated
    /// @param hookData Arbitrary data handed into the PoolManager by the donor to be be passed on to the hook
    /// @return bytes4 The function selector for the hook
    function beforeDonate(
        address sender,
        PoolKey calldata key,
        uint256 amount0,
        uint256 amount1,
        bytes calldata hookData
    ) external returns (bytes4);
    /// @notice The hook called after donate
    /// @param sender The initial msg.sender for the donate call
    /// @param key The key for the pool
    /// @param amount0 The amount of token0 being donated
    /// @param amount1 The amount of token1 being donated
    /// @param hookData Arbitrary data handed into the PoolManager by the donor to be be passed on to the hook
    /// @return bytes4 The function selector for the hook
    function afterDonate(
        address sender,
        PoolKey calldata key,
        uint256 amount0,
        uint256 amount1,
        bytes calldata hookData
    ) external returns (bytes4);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.24;
import {Currency} from "../types/Currency.sol";
import {PoolKey} from "../types/PoolKey.sol";
import {IHooks} from "./IHooks.sol";
import {IERC6909Claims} from "./external/IERC6909Claims.sol";
import {IProtocolFees} from "./IProtocolFees.sol";
import {BalanceDelta} from "../types/BalanceDelta.sol";
import {PoolId} from "../types/PoolId.sol";
import {IExtsload} from "./IExtsload.sol";
import {IExttload} from "./IExttload.sol";
/// @notice Interface for the PoolManager
interface IPoolManager is IProtocolFees, IERC6909Claims, IExtsload, IExttload {
    /// @notice Thrown when a currency is not netted out after the contract is unlocked
    error CurrencyNotSettled();
    /// @notice Thrown when trying to interact with a non-initialized pool
    error PoolNotInitialized();
    /// @notice Thrown when unlock is called, but the contract is already unlocked
    error AlreadyUnlocked();
    /// @notice Thrown when a function is called that requires the contract to be unlocked, but it is not
    error ManagerLocked();
    /// @notice Pools are limited to type(int16).max tickSpacing in #initialize, to prevent overflow
    error TickSpacingTooLarge(int24 tickSpacing);
    /// @notice Pools must have a positive non-zero tickSpacing passed to #initialize
    error TickSpacingTooSmall(int24 tickSpacing);
    /// @notice PoolKey must have currencies where address(currency0) < address(currency1)
    error CurrenciesOutOfOrderOrEqual(address currency0, address currency1);
    /// @notice Thrown when a call to updateDynamicLPFee is made by an address that is not the hook,
    /// or on a pool that does not have a dynamic swap fee.
    error UnauthorizedDynamicLPFeeUpdate();
    /// @notice Thrown when trying to swap amount of 0
    error SwapAmountCannotBeZero();
    ///@notice Thrown when native currency is passed to a non native settlement
    error NonzeroNativeValue();
    /// @notice Thrown when `clear` is called with an amount that is not exactly equal to the open currency delta.
    error MustClearExactPositiveDelta();
    /// @notice Emitted when a new pool is initialized
    /// @param id The abi encoded hash of the pool key struct for the new pool
    /// @param currency0 The first currency of the pool by address sort order
    /// @param currency1 The second currency of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param hooks The hooks contract address for the pool, or address(0) if none
    /// @param sqrtPriceX96 The price of the pool on initialization
    /// @param tick The initial tick of the pool corresponding to the initialized price
    event Initialize(
        PoolId indexed id,
        Currency indexed currency0,
        Currency indexed currency1,
        uint24 fee,
        int24 tickSpacing,
        IHooks hooks,
        uint160 sqrtPriceX96,
        int24 tick
    );
    /// @notice Emitted when a liquidity position is modified
    /// @param id The abi encoded hash of the pool key struct for the pool that was modified
    /// @param sender The address that modified the pool
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param liquidityDelta The amount of liquidity that was added or removed
    /// @param salt The extra data to make positions unique
    event ModifyLiquidity(
        PoolId indexed id, address indexed sender, int24 tickLower, int24 tickUpper, int256 liquidityDelta, bytes32 salt
    );
    /// @notice Emitted for swaps between currency0 and currency1
    /// @param id The abi encoded hash of the pool key struct for the pool that was modified
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param amount0 The delta of the currency0 balance of the pool
    /// @param amount1 The delta of the currency1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of the price of the pool after the swap
    /// @param fee The swap fee in hundredths of a bip
    event Swap(
        PoolId indexed id,
        address indexed sender,
        int128 amount0,
        int128 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick,
        uint24 fee
    );
    /// @notice Emitted for donations
    /// @param id The abi encoded hash of the pool key struct for the pool that was donated to
    /// @param sender The address that initiated the donate call
    /// @param amount0 The amount donated in currency0
    /// @param amount1 The amount donated in currency1
    event Donate(PoolId indexed id, address indexed sender, uint256 amount0, uint256 amount1);
    /// @notice All interactions on the contract that account deltas require unlocking. A caller that calls `unlock` must implement
    /// `IUnlockCallback(msg.sender).unlockCallback(data)`, where they interact with the remaining functions on this contract.
    /// @dev The only functions callable without an unlocking are `initialize` and `updateDynamicLPFee`
    /// @param data Any data to pass to the callback, via `IUnlockCallback(msg.sender).unlockCallback(data)`
    /// @return The data returned by the call to `IUnlockCallback(msg.sender).unlockCallback(data)`
    function unlock(bytes calldata data) external returns (bytes memory);
    /// @notice Initialize the state for a given pool ID
    /// @dev A swap fee totaling MAX_SWAP_FEE (100%) makes exact output swaps impossible since the input is entirely consumed by the fee
    /// @param key The pool key for the pool to initialize
    /// @param sqrtPriceX96 The initial square root price
    /// @return tick The initial tick of the pool
    function initialize(PoolKey memory key, uint160 sqrtPriceX96) external returns (int24 tick);
    struct ModifyLiquidityParams {
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // how to modify the liquidity
        int256 liquidityDelta;
        // a value to set if you want unique liquidity positions at the same range
        bytes32 salt;
    }
    /// @notice Modify the liquidity for the given pool
    /// @dev Poke by calling with a zero liquidityDelta
    /// @param key The pool to modify liquidity in
    /// @param params The parameters for modifying the liquidity
    /// @param hookData The data to pass through to the add/removeLiquidity hooks
    /// @return callerDelta The balance delta of the caller of modifyLiquidity. This is the total of both principal, fee deltas, and hook deltas if applicable
    /// @return feesAccrued The balance delta of the fees generated in the liquidity range. Returned for informational purposes
    /// @dev Note that feesAccrued can be artificially inflated by a malicious actor and integrators should be careful using the value
    /// For pools with a single liquidity position, actors can donate to themselves to inflate feeGrowthGlobal (and consequently feesAccrued)
    /// atomically donating and collecting fees in the same unlockCallback may make the inflated value more extreme
    function modifyLiquidity(PoolKey memory key, ModifyLiquidityParams memory params, bytes calldata hookData)
        external
        returns (BalanceDelta callerDelta, BalanceDelta feesAccrued);
    struct SwapParams {
        /// Whether to swap token0 for token1 or vice versa
        bool zeroForOne;
        /// The desired input amount if negative (exactIn), or the desired output amount if positive (exactOut)
        int256 amountSpecified;
        /// The sqrt price at which, if reached, the swap will stop executing
        uint160 sqrtPriceLimitX96;
    }
    /// @notice Swap against the given pool
    /// @param key The pool to swap in
    /// @param params The parameters for swapping
    /// @param hookData The data to pass through to the swap hooks
    /// @return swapDelta The balance delta of the address swapping
    /// @dev Swapping on low liquidity pools may cause unexpected swap amounts when liquidity available is less than amountSpecified.
    /// Additionally note that if interacting with hooks that have the BEFORE_SWAP_RETURNS_DELTA_FLAG or AFTER_SWAP_RETURNS_DELTA_FLAG
    /// the hook may alter the swap input/output. Integrators should perform checks on the returned swapDelta.
    function swap(PoolKey memory key, SwapParams memory params, bytes calldata hookData)
        external
        returns (BalanceDelta swapDelta);
    /// @notice Donate the given currency amounts to the in-range liquidity providers of a pool
    /// @dev Calls to donate can be frontrun adding just-in-time liquidity, with the aim of receiving a portion donated funds.
    /// Donors should keep this in mind when designing donation mechanisms.
    /// @dev This function donates to in-range LPs at slot0.tick. In certain edge-cases of the swap algorithm, the `sqrtPrice` of
    /// a pool can be at the lower boundary of tick `n`, but the `slot0.tick` of the pool is already `n - 1`. In this case a call to
    /// `donate` would donate to tick `n - 1` (slot0.tick) not tick `n` (getTickAtSqrtPrice(slot0.sqrtPriceX96)).
    /// Read the comments in `Pool.swap()` for more information about this.
    /// @param key The key of the pool to donate to
    /// @param amount0 The amount of currency0 to donate
    /// @param amount1 The amount of currency1 to donate
    /// @param hookData The data to pass through to the donate hooks
    /// @return BalanceDelta The delta of the caller after the donate
    function donate(PoolKey memory key, uint256 amount0, uint256 amount1, bytes calldata hookData)
        external
        returns (BalanceDelta);
    /// @notice Writes the current ERC20 balance of the specified currency to transient storage
    /// This is used to checkpoint balances for the manager and derive deltas for the caller.
    /// @dev This MUST be called before any ERC20 tokens are sent into the contract, but can be skipped
    /// for native tokens because the amount to settle is determined by the sent value.
    /// However, if an ERC20 token has been synced and not settled, and the caller instead wants to settle
    /// native funds, this function can be called with the native currency to then be able to settle the native currency
    function sync(Currency currency) external;
    /// @notice Called by the user to net out some value owed to the user
    /// @dev Will revert if the requested amount is not available, consider using `mint` instead
    /// @dev Can also be used as a mechanism for free flash loans
    /// @param currency The currency to withdraw from the pool manager
    /// @param to The address to withdraw to
    /// @param amount The amount of currency to withdraw
    function take(Currency currency, address to, uint256 amount) external;
    /// @notice Called by the user to pay what is owed
    /// @return paid The amount of currency settled
    function settle() external payable returns (uint256 paid);
    /// @notice Called by the user to pay on behalf of another address
    /// @param recipient The address to credit for the payment
    /// @return paid The amount of currency settled
    function settleFor(address recipient) external payable returns (uint256 paid);
    /// @notice WARNING - Any currency that is cleared, will be non-retrievable, and locked in the contract permanently.
    /// A call to clear will zero out a positive balance WITHOUT a corresponding transfer.
    /// @dev This could be used to clear a balance that is considered dust.
    /// Additionally, the amount must be the exact positive balance. This is to enforce that the caller is aware of the amount being cleared.
    function clear(Currency currency, uint256 amount) external;
    /// @notice Called by the user to move value into ERC6909 balance
    /// @param to The address to mint the tokens to
    /// @param id The currency address to mint to ERC6909s, as a uint256
    /// @param amount The amount of currency to mint
    /// @dev The id is converted to a uint160 to correspond to a currency address
    /// If the upper 12 bytes are not 0, they will be 0-ed out
    function mint(address to, uint256 id, uint256 amount) external;
    /// @notice Called by the user to move value from ERC6909 balance
    /// @param from The address to burn the tokens from
    /// @param id The currency address to burn from ERC6909s, as a uint256
    /// @param amount The amount of currency to burn
    /// @dev The id is converted to a uint160 to correspond to a currency address
    /// If the upper 12 bytes are not 0, they will be 0-ed out
    function burn(address from, uint256 id, uint256 amount) external;
    /// @notice Updates the pools lp fees for the a pool that has enabled dynamic lp fees.
    /// @dev A swap fee totaling MAX_SWAP_FEE (100%) makes exact output swaps impossible since the input is entirely consumed by the fee
    /// @param key The key of the pool to update dynamic LP fees for
    /// @param newDynamicLPFee The new dynamic pool LP fee
    function updateDynamicLPFee(PoolKey memory key, uint24 newDynamicLPFee) external;
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @notice Interface for the callback executed when an address unlocks the pool manager
interface IUnlockCallback {
    /// @notice Called by the pool manager on `msg.sender` when the manager is unlocked
    /// @param data The data that was passed to the call to unlock
    /// @return Any data that you want to be returned from the unlock call
    function unlockCallback(bytes calldata data) external returns (bytes memory);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {Currency} from "./types/Currency.sol";
import {CurrencyReserves} from "./libraries/CurrencyReserves.sol";
import {IProtocolFees} from "./interfaces/IProtocolFees.sol";
import {PoolKey} from "./types/PoolKey.sol";
import {ProtocolFeeLibrary} from "./libraries/ProtocolFeeLibrary.sol";
import {Owned} from "solmate/src/auth/Owned.sol";
import {PoolId} from "./types/PoolId.sol";
import {Pool} from "./libraries/Pool.sol";
import {CustomRevert} from "./libraries/CustomRevert.sol";
/// @notice Contract handling the setting and accrual of protocol fees
abstract contract ProtocolFees is IProtocolFees, Owned {
    using ProtocolFeeLibrary for uint24;
    using Pool for Pool.State;
    using CustomRevert for bytes4;
    /// @inheritdoc IProtocolFees
    mapping(Currency currency => uint256 amount) public protocolFeesAccrued;
    /// @inheritdoc IProtocolFees
    address public protocolFeeController;
    constructor(address initialOwner) Owned(initialOwner) {}
    /// @inheritdoc IProtocolFees
    function setProtocolFeeController(address controller) external onlyOwner {
        protocolFeeController = controller;
        emit ProtocolFeeControllerUpdated(controller);
    }
    /// @inheritdoc IProtocolFees
    function setProtocolFee(PoolKey memory key, uint24 newProtocolFee) external {
        if (msg.sender != protocolFeeController) InvalidCaller.selector.revertWith();
        if (!newProtocolFee.isValidProtocolFee()) ProtocolFeeTooLarge.selector.revertWith(newProtocolFee);
        PoolId id = key.toId();
        _getPool(id).setProtocolFee(newProtocolFee);
        emit ProtocolFeeUpdated(id, newProtocolFee);
    }
    /// @inheritdoc IProtocolFees
    function collectProtocolFees(address recipient, Currency currency, uint256 amount)
        external
        returns (uint256 amountCollected)
    {
        if (msg.sender != protocolFeeController) InvalidCaller.selector.revertWith();
        if (!currency.isAddressZero() && CurrencyReserves.getSyncedCurrency() == currency) {
            // prevent transfer between the sync and settle balanceOfs (native settle uses msg.value)
            ProtocolFeeCurrencySynced.selector.revertWith();
        }
        amountCollected = (amount == 0) ? protocolFeesAccrued[currency] : amount;
        protocolFeesAccrued[currency] -= amountCollected;
        currency.transfer(recipient, amountCollected);
    }
    /// @dev abstract internal function to allow the ProtocolFees contract to access the lock
    function _isUnlocked() internal virtual returns (bool);
    /// @dev abstract internal function to allow the ProtocolFees contract to access pool state
    /// @dev this is overridden in PoolManager.sol to give access to the _pools mapping
    function _getPool(PoolId id) internal virtual returns (Pool.State storage);
    function _updateProtocolFees(Currency currency, uint256 amount) internal {
        unchecked {
            protocolFeesAccrued[currency] += amount;
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {ERC6909} from "./ERC6909.sol";
/// @notice ERC6909Claims inherits ERC6909 and implements an internal burnFrom function
abstract contract ERC6909Claims is ERC6909 {
    /// @notice Burn `amount` tokens of token type `id` from `from`.
    /// @dev if sender is not `from` they must be an operator or have sufficient allowance.
    /// @param from The address to burn tokens from.
    /// @param id The currency to burn.
    /// @param amount The amount to burn.
    function _burnFrom(address from, uint256 id, uint256 amount) internal {
        address sender = msg.sender;
        if (from != sender && !isOperator[from][sender]) {
            uint256 senderAllowance = allowance[from][sender][id];
            if (senderAllowance != type(uint256).max) {
                allowance[from][sender][id] = senderAllowance - amount;
            }
        }
        _burn(from, id, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {PoolKey} from "./PoolKey.sol";
type PoolId is bytes32;
/// @notice Library for computing the ID of a pool
library PoolIdLibrary {
    /// @notice Returns value equal to keccak256(abi.encode(poolKey))
    function toId(PoolKey memory poolKey) internal pure returns (PoolId poolId) {
        assembly ("memory-safe") {
            // 0xa0 represents the total size of the poolKey struct (5 slots of 32 bytes)
            poolId := keccak256(poolKey, 0xa0)
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {SafeCast} from "../libraries/SafeCast.sol";
/// @dev Two `int128` values packed into a single `int256` where the upper 128 bits represent the amount0
/// and the lower 128 bits represent the amount1.
type BalanceDelta is int256;
using {add as +, sub as -, eq as ==, neq as !=} for BalanceDelta global;
using BalanceDeltaLibrary for BalanceDelta global;
using SafeCast for int256;
function toBalanceDelta(int128 _amount0, int128 _amount1) pure returns (BalanceDelta balanceDelta) {
    assembly ("memory-safe") {
        balanceDelta := or(shl(128, _amount0), and(sub(shl(128, 1), 1), _amount1))
    }
}
function add(BalanceDelta a, BalanceDelta b) pure returns (BalanceDelta) {
    int256 res0;
    int256 res1;
    assembly ("memory-safe") {
        let a0 := sar(128, a)
        let a1 := signextend(15, a)
        let b0 := sar(128, b)
        let b1 := signextend(15, b)
        res0 := add(a0, b0)
        res1 := add(a1, b1)
    }
    return toBalanceDelta(res0.toInt128(), res1.toInt128());
}
function sub(BalanceDelta a, BalanceDelta b) pure returns (BalanceDelta) {
    int256 res0;
    int256 res1;
    assembly ("memory-safe") {
        let a0 := sar(128, a)
        let a1 := signextend(15, a)
        let b0 := sar(128, b)
        let b1 := signextend(15, b)
        res0 := sub(a0, b0)
        res1 := sub(a1, b1)
    }
    return toBalanceDelta(res0.toInt128(), res1.toInt128());
}
function eq(BalanceDelta a, BalanceDelta b) pure returns (bool) {
    return BalanceDelta.unwrap(a) == BalanceDelta.unwrap(b);
}
function neq(BalanceDelta a, BalanceDelta b) pure returns (bool) {
    return BalanceDelta.unwrap(a) != BalanceDelta.unwrap(b);
}
/// @notice Library for getting the amount0 and amount1 deltas from the BalanceDelta type
library BalanceDeltaLibrary {
    /// @notice A BalanceDelta of 0
    BalanceDelta public constant ZERO_DELTA = BalanceDelta.wrap(0);
    function amount0(BalanceDelta balanceDelta) internal pure returns (int128 _amount0) {
        assembly ("memory-safe") {
            _amount0 := sar(128, balanceDelta)
        }
    }
    function amount1(BalanceDelta balanceDelta) internal pure returns (int128 _amount1) {
        assembly ("memory-safe") {
            _amount1 := signextend(15, balanceDelta)
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
// Return type of the beforeSwap hook.
// Upper 128 bits is the delta in specified tokens. Lower 128 bits is delta in unspecified tokens (to match the afterSwap hook)
type BeforeSwapDelta is int256;
// Creates a BeforeSwapDelta from specified and unspecified
function toBeforeSwapDelta(int128 deltaSpecified, int128 deltaUnspecified)
    pure
    returns (BeforeSwapDelta beforeSwapDelta)
{
    assembly ("memory-safe") {
        beforeSwapDelta := or(shl(128, deltaSpecified), and(sub(shl(128, 1), 1), deltaUnspecified))
    }
}
/// @notice Library for getting the specified and unspecified deltas from the BeforeSwapDelta type
library BeforeSwapDeltaLibrary {
    /// @notice A BeforeSwapDelta of 0
    BeforeSwapDelta public constant ZERO_DELTA = BeforeSwapDelta.wrap(0);
    /// extracts int128 from the upper 128 bits of the BeforeSwapDelta
    /// returned by beforeSwap
    function getSpecifiedDelta(BeforeSwapDelta delta) internal pure returns (int128 deltaSpecified) {
        assembly ("memory-safe") {
            deltaSpecified := sar(128, delta)
        }
    }
    /// extracts int128 from the lower 128 bits of the BeforeSwapDelta
    /// returned by beforeSwap and afterSwap
    function getUnspecifiedDelta(BeforeSwapDelta delta) internal pure returns (int128 deltaUnspecified) {
        assembly ("memory-safe") {
            deltaUnspecified := signextend(15, delta)
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.24;
/// @notice This is a temporary library that allows us to use transient storage (tstore/tload)
/// TODO: This library can be deleted when we have the transient keyword support in solidity.
library Lock {
    // The slot holding the unlocked state, transiently. bytes32(uint256(keccak256("Unlocked")) - 1)
    bytes32 internal constant IS_UNLOCKED_SLOT = 0xc090fc4683624cfc3884e9d8de5eca132f2d0ec062aff75d43c0465d5ceeab23;
    function unlock() internal {
        assembly ("memory-safe") {
            // unlock
            tstore(IS_UNLOCKED_SLOT, true)
        }
    }
    function lock() internal {
        assembly ("memory-safe") {
            tstore(IS_UNLOCKED_SLOT, false)
        }
    }
    function isUnlocked() internal view returns (bool unlocked) {
        assembly ("memory-safe") {
            unlocked := tload(IS_UNLOCKED_SLOT)
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.24;
import {Currency} from "../types/Currency.sol";
/// @title a library to store callers' currency deltas in transient storage
/// @dev this library implements the equivalent of a mapping, as transient storage can only be accessed in assembly
library CurrencyDelta {
    /// @notice calculates which storage slot a delta should be stored in for a given account and currency
    function _computeSlot(address target, Currency currency) internal pure returns (bytes32 hashSlot) {
        assembly ("memory-safe") {
            mstore(0, and(target, 0xffffffffffffffffffffffffffffffffffffffff))
            mstore(32, and(currency, 0xffffffffffffffffffffffffffffffffffffffff))
            hashSlot := keccak256(0, 64)
        }
    }
    function getDelta(Currency currency, address target) internal view returns (int256 delta) {
        bytes32 hashSlot = _computeSlot(target, currency);
        assembly ("memory-safe") {
            delta := tload(hashSlot)
        }
    }
    /// @notice applies a new currency delta for a given account and currency
    /// @return previous The prior value
    /// @return next The modified result
    function applyDelta(Currency currency, address target, int128 delta)
        internal
        returns (int256 previous, int256 next)
    {
        bytes32 hashSlot = _computeSlot(target, currency);
        assembly ("memory-safe") {
            previous := tload(hashSlot)
        }
        next = previous + delta;
        assembly ("memory-safe") {
            tstore(hashSlot, next)
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.24;
/// @notice This is a temporary library that allows us to use transient storage (tstore/tload)
/// for the nonzero delta count.
/// TODO: This library can be deleted when we have the transient keyword support in solidity.
library NonzeroDeltaCount {
    // The slot holding the number of nonzero deltas. bytes32(uint256(keccak256("NonzeroDeltaCount")) - 1)
    bytes32 internal constant NONZERO_DELTA_COUNT_SLOT =
        0x7d4b3164c6e45b97e7d87b7125a44c5828d005af88f9d751cfd78729c5d99a0b;
    function read() internal view returns (uint256 count) {
        assembly ("memory-safe") {
            count := tload(NONZERO_DELTA_COUNT_SLOT)
        }
    }
    function increment() internal {
        assembly ("memory-safe") {
            let count := tload(NONZERO_DELTA_COUNT_SLOT)
            count := add(count, 1)
            tstore(NONZERO_DELTA_COUNT_SLOT, count)
        }
    }
    /// @notice Potential to underflow. Ensure checks are performed by integrating contracts to ensure this does not happen.
    /// Current usage ensures this will not happen because we call decrement with known boundaries (only up to the number of times we call increment).
    function decrement() internal {
        assembly ("memory-safe") {
            let count := tload(NONZERO_DELTA_COUNT_SLOT)
            count := sub(count, 1)
            tstore(NONZERO_DELTA_COUNT_SLOT, count)
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity ^0.8.24;
import {Currency} from "../types/Currency.sol";
import {CustomRevert} from "./CustomRevert.sol";
library CurrencyReserves {
    using CustomRevert for bytes4;
    /// bytes32(uint256(keccak256("ReservesOf")) - 1)
    bytes32 constant RESERVES_OF_SLOT = 0x1e0745a7db1623981f0b2a5d4232364c00787266eb75ad546f190e6cebe9bd95;
    /// bytes32(uint256(keccak256("Currency")) - 1)
    bytes32 constant CURRENCY_SLOT = 0x27e098c505d44ec3574004bca052aabf76bd35004c182099d8c575fb238593b9;
    function getSyncedCurrency() internal view returns (Currency currency) {
        assembly ("memory-safe") {
            currency := tload(CURRENCY_SLOT)
        }
    }
    function resetCurrency() internal {
        assembly ("memory-safe") {
            tstore(CURRENCY_SLOT, 0)
        }
    }
    function syncCurrencyAndReserves(Currency currency, uint256 value) internal {
        assembly ("memory-safe") {
            tstore(CURRENCY_SLOT, and(currency, 0xffffffffffffffffffffffffffffffffffffffff))
            tstore(RESERVES_OF_SLOT, value)
        }
    }
    function getSyncedReserves() internal view returns (uint256 value) {
        assembly ("memory-safe") {
            value := tload(RESERVES_OF_SLOT)
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {IExtsload} from "./interfaces/IExtsload.sol";
/// @notice Enables public storage access for efficient state retrieval by external contracts.
/// https://eips.ethereum.org/EIPS/eip-2330#rationale
abstract contract Extsload is IExtsload {
    /// @inheritdoc IExtsload
    function extsload(bytes32 slot) external view returns (bytes32) {
        assembly ("memory-safe") {
            mstore(0, sload(slot))
            return(0, 0x20)
        }
    }
    /// @inheritdoc IExtsload
    function extsload(bytes32 startSlot, uint256 nSlots) external view returns (bytes32[] memory) {
        assembly ("memory-safe") {
            let memptr := mload(0x40)
            let start := memptr
            // A left bit-shift of 5 is equivalent to multiplying by 32 but costs less gas.
            let length := shl(5, nSlots)
            // The abi offset of dynamic array in the returndata is 32.
            mstore(memptr, 0x20)
            // Store the length of the array returned
            mstore(add(memptr, 0x20), nSlots)
            // update memptr to the first location to hold a result
            memptr := add(memptr, 0x40)
            let end := add(memptr, length)
            for {} 1 {} {
                mstore(memptr, sload(startSlot))
                memptr := add(memptr, 0x20)
                startSlot := add(startSlot, 1)
                if iszero(lt(memptr, end)) { break }
            }
            return(start, sub(end, start))
        }
    }
    /// @inheritdoc IExtsload
    function extsload(bytes32[] calldata slots) external view returns (bytes32[] memory) {
        assembly ("memory-safe") {
            let memptr := mload(0x40)
            let start := memptr
            // for abi encoding the response - the array will be found at 0x20
            mstore(memptr, 0x20)
            // next we store the length of the return array
            mstore(add(memptr, 0x20), slots.length)
            // update memptr to the first location to hold an array entry
            memptr := add(memptr, 0x40)
            // A left bit-shift of 5 is equivalent to multiplying by 32 but costs less gas.
            let end := add(memptr, shl(5, slots.length))
            let calldataptr := slots.offset
            for {} 1 {} {
                mstore(memptr, sload(calldataload(calldataptr)))
                memptr := add(memptr, 0x20)
                calldataptr := add(calldataptr, 0x20)
                if iszero(lt(memptr, end)) { break }
            }
            return(start, sub(end, start))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.24;
import {IExttload} from "./interfaces/IExttload.sol";
/// @notice Enables public transient storage access for efficient state retrieval by external contracts.
/// https://eips.ethereum.org/EIPS/eip-2330#rationale
abstract contract Exttload is IExttload {
    /// @inheritdoc IExttload
    function exttload(bytes32 slot) external view returns (bytes32) {
        assembly ("memory-safe") {
            mstore(0, tload(slot))
            return(0, 0x20)
        }
    }
    /// @inheritdoc IExttload
    function exttload(bytes32[] calldata slots) external view returns (bytes32[] memory) {
        assembly ("memory-safe") {
            let memptr := mload(0x40)
            let start := memptr
            // for abi encoding the response - the array will be found at 0x20
            mstore(memptr, 0x20)
            // next we store the length of the return array
            mstore(add(memptr, 0x20), slots.length)
            // update memptr to the first location to hold an array entry
            memptr := add(memptr, 0x40)
            // A left bit-shift of 5 is equivalent to multiplying by 32 but costs less gas.
            let end := add(memptr, shl(5, slots.length))
            let calldataptr := slots.offset
            for {} 1 {} {
                mstore(memptr, tload(calldataload(calldataptr)))
                memptr := add(memptr, 0x20)
                calldataptr := add(calldataptr, 0x20)
                if iszero(lt(memptr, end)) { break }
            }
            return(start, sub(end, start))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @title Library for reverting with custom errors efficiently
/// @notice Contains functions for reverting with custom errors with different argument types efficiently
/// @dev To use this library, declare `using CustomRevert for bytes4;` and replace `revert CustomError()` with
/// `CustomError.selector.revertWith()`
/// @dev The functions may tamper with the free memory pointer but it is fine since the call context is exited immediately
library CustomRevert {
    /// @dev ERC-7751 error for wrapping bubbled up reverts
    error WrappedError(address target, bytes4 selector, bytes reason, bytes details);
    /// @dev Reverts with the selector of a custom error in the scratch space
    function revertWith(bytes4 selector) internal pure {
        assembly ("memory-safe") {
            mstore(0, selector)
            revert(0, 0x04)
        }
    }
    /// @dev Reverts with a custom error with an address argument in the scratch space
    function revertWith(bytes4 selector, address addr) internal pure {
        assembly ("memory-safe") {
            mstore(0, selector)
            mstore(0x04, and(addr, 0xffffffffffffffffffffffffffffffffffffffff))
            revert(0, 0x24)
        }
    }
    /// @dev Reverts with a custom error with an int24 argument in the scratch space
    function revertWith(bytes4 selector, int24 value) internal pure {
        assembly ("memory-safe") {
            mstore(0, selector)
            mstore(0x04, signextend(2, value))
            revert(0, 0x24)
        }
    }
    /// @dev Reverts with a custom error with a uint160 argument in the scratch space
    function revertWith(bytes4 selector, uint160 value) internal pure {
        assembly ("memory-safe") {
            mstore(0, selector)
            mstore(0x04, and(value, 0xffffffffffffffffffffffffffffffffffffffff))
            revert(0, 0x24)
        }
    }
    /// @dev Reverts with a custom error with two int24 arguments
    function revertWith(bytes4 selector, int24 value1, int24 value2) internal pure {
        assembly ("memory-safe") {
            let fmp := mload(0x40)
            mstore(fmp, selector)
            mstore(add(fmp, 0x04), signextend(2, value1))
            mstore(add(fmp, 0x24), signextend(2, value2))
            revert(fmp, 0x44)
        }
    }
    /// @dev Reverts with a custom error with two uint160 arguments
    function revertWith(bytes4 selector, uint160 value1, uint160 value2) internal pure {
        assembly ("memory-safe") {
            let fmp := mload(0x40)
            mstore(fmp, selector)
            mstore(add(fmp, 0x04), and(value1, 0xffffffffffffffffffffffffffffffffffffffff))
            mstore(add(fmp, 0x24), and(value2, 0xffffffffffffffffffffffffffffffffffffffff))
            revert(fmp, 0x44)
        }
    }
    /// @dev Reverts with a custom error with two address arguments
    function revertWith(bytes4 selector, address value1, address value2) internal pure {
        assembly ("memory-safe") {
            let fmp := mload(0x40)
            mstore(fmp, selector)
            mstore(add(fmp, 0x04), and(value1, 0xffffffffffffffffffffffffffffffffffffffff))
            mstore(add(fmp, 0x24), and(value2, 0xffffffffffffffffffffffffffffffffffffffff))
            revert(fmp, 0x44)
        }
    }
    /// @notice bubble up the revert message returned by a call and revert with a wrapped ERC-7751 error
    /// @dev this method can be vulnerable to revert data bombs
    function bubbleUpAndRevertWith(
        address revertingContract,
        bytes4 revertingFunctionSelector,
        bytes4 additionalContext
    ) internal pure {
        bytes4 wrappedErrorSelector = WrappedError.selector;
        assembly ("memory-safe") {
            // Ensure the size of the revert data is a multiple of 32 bytes
            let encodedDataSize := mul(div(add(returndatasize(), 31), 32), 32)
            let fmp := mload(0x40)
            // Encode wrapped error selector, address, function selector, offset, additional context, size, revert reason
            mstore(fmp, wrappedErrorSelector)
            mstore(add(fmp, 0x04), and(revertingContract, 0xffffffffffffffffffffffffffffffffffffffff))
            mstore(
                add(fmp, 0x24),
                and(revertingFunctionSelector, 0xffffffff00000000000000000000000000000000000000000000000000000000)
            )
            // offset revert reason
            mstore(add(fmp, 0x44), 0x80)
            // offset additional context
            mstore(add(fmp, 0x64), add(0xa0, encodedDataSize))
            // size revert reason
            mstore(add(fmp, 0x84), returndatasize())
            // revert reason
            returndatacopy(add(fmp, 0xa4), 0, returndatasize())
            // size additional context
            mstore(add(fmp, add(0xa4, encodedDataSize)), 0x04)
            // additional context
            mstore(
                add(fmp, add(0xc4, encodedDataSize)),
                and(additionalContext, 0xffffffff00000000000000000000000000000000000000000000000000000000)
            )
            revert(fmp, add(0xe4, encodedDataSize))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @notice Parses bytes returned from hooks and the byte selector used to check return selectors from hooks.
/// @dev parseSelector also is used to parse the expected selector
/// For parsing hook returns, note that all hooks return either bytes4 or (bytes4, 32-byte-delta) or (bytes4, 32-byte-delta, uint24).
library ParseBytes {
    function parseSelector(bytes memory result) internal pure returns (bytes4 selector) {
        // equivalent: (selector,) = abi.decode(result, (bytes4, int256));
        assembly ("memory-safe") {
            selector := mload(add(result, 0x20))
        }
    }
    function parseFee(bytes memory result) internal pure returns (uint24 lpFee) {
        // equivalent: (,, lpFee) = abi.decode(result, (bytes4, int256, uint24));
        assembly ("memory-safe") {
            lpFee := mload(add(result, 0x60))
        }
    }
    function parseReturnDelta(bytes memory result) internal pure returns (int256 hookReturn) {
        // equivalent: (, hookReturnDelta) = abi.decode(result, (bytes4, int256));
        assembly ("memory-safe") {
            hookReturn := mload(add(result, 0x40))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {BitMath} from "./BitMath.sol";
/// @title Packed tick initialized state library
/// @notice Stores a packed mapping of tick index to its initialized state
/// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
library TickBitmap {
    /// @notice Thrown when the tick is not enumerated by the tick spacing
    /// @param tick the invalid tick
    /// @param tickSpacing The tick spacing of the pool
    error TickMisaligned(int24 tick, int24 tickSpacing);
    /// @dev round towards negative infinity
    function compress(int24 tick, int24 tickSpacing) internal pure returns (int24 compressed) {
        // compressed = tick / tickSpacing;
        // if (tick < 0 && tick % tickSpacing != 0) compressed--;
        assembly ("memory-safe") {
            tick := signextend(2, tick)
            tickSpacing := signextend(2, tickSpacing)
            compressed :=
                sub(
                    sdiv(tick, tickSpacing),
                    // if (tick < 0 && tick % tickSpacing != 0) then tick % tickSpacing < 0, vice versa
                    slt(smod(tick, tickSpacing), 0)
                )
        }
    }
    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
    /// @param tick The tick for which to compute the position
    /// @return wordPos The key in the mapping containing the word in which the bit is stored
    /// @return bitPos The bit position in the word where the flag is stored
    function position(int24 tick) internal pure returns (int16 wordPos, uint8 bitPos) {
        assembly ("memory-safe") {
            // signed arithmetic shift right
            wordPos := sar(8, signextend(2, tick))
            bitPos := and(tick, 0xff)
        }
    }
    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
    /// @param self The mapping in which to flip the tick
    /// @param tick The tick to flip
    /// @param tickSpacing The spacing between usable ticks
    function flipTick(mapping(int16 => uint256) storage self, int24 tick, int24 tickSpacing) internal {
        // Equivalent to the following Solidity:
        //     if (tick % tickSpacing != 0) revert TickMisaligned(tick, tickSpacing);
        //     (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
        //     uint256 mask = 1 << bitPos;
        //     self[wordPos] ^= mask;
        assembly ("memory-safe") {
            tick := signextend(2, tick)
            tickSpacing := signextend(2, tickSpacing)
            // ensure that the tick is spaced
            if smod(tick, tickSpacing) {
                let fmp := mload(0x40)
                mstore(fmp, 0xd4d8f3e6) // selector for TickMisaligned(int24,int24)
                mstore(add(fmp, 0x20), tick)
                mstore(add(fmp, 0x40), tickSpacing)
                revert(add(fmp, 0x1c), 0x44)
            }
            tick := sdiv(tick, tickSpacing)
            // calculate the storage slot corresponding to the tick
            // wordPos = tick >> 8
            mstore(0, sar(8, tick))
            mstore(0x20, self.slot)
            // the slot of self[wordPos] is keccak256(abi.encode(wordPos, self.slot))
            let slot := keccak256(0, 0x40)
            // mask = 1 << bitPos = 1 << (tick % 256)
            // self[wordPos] ^= mask
            sstore(slot, xor(sload(slot), shl(and(tick, 0xff), 1)))
        }
    }
    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
    /// to the left (less than or equal to) or right (greater than) of the given tick
    /// @param self The mapping in which to compute the next initialized tick
    /// @param tick The starting tick
    /// @param tickSpacing The spacing between usable ticks
    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
    function nextInitializedTickWithinOneWord(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing,
        bool lte
    ) internal view returns (int24 next, bool initialized) {
        unchecked {
            int24 compressed = compress(tick, tickSpacing);
            if (lte) {
                (int16 wordPos, uint8 bitPos) = position(compressed);
                // all the 1s at or to the right of the current bitPos
                uint256 mask = type(uint256).max >> (uint256(type(uint8).max) - bitPos);
                uint256 masked = self[wordPos] & mask;
                // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
                initialized = masked != 0;
                // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
                next = initialized
                    ? (compressed - int24(uint24(bitPos - BitMath.mostSignificantBit(masked)))) * tickSpacing
                    : (compressed - int24(uint24(bitPos))) * tickSpacing;
            } else {
                // start from the word of the next tick, since the current tick state doesn't matter
                (int16 wordPos, uint8 bitPos) = position(++compressed);
                // all the 1s at or to the left of the bitPos
                uint256 mask = ~((1 << bitPos) - 1);
                uint256 masked = self[wordPos] & mask;
                // if there are no initialized ticks to the left of the current tick, return leftmost in the word
                initialized = masked != 0;
                // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
                next = initialized
                    ? (compressed + int24(uint24(BitMath.leastSignificantBit(masked) - bitPos))) * tickSpacing
                    : (compressed + int24(uint24(type(uint8).max - bitPos))) * tickSpacing;
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @title Math functions that do not check inputs or outputs
/// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
library UnsafeMath {
    /// @notice Returns ceil(x / y)
    /// @dev division by 0 will return 0, and should be checked externally
    /// @param x The dividend
    /// @param y The divisor
    /// @return z The quotient, ceil(x / y)
    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly ("memory-safe") {
            z := add(div(x, y), gt(mod(x, y), 0))
        }
    }
    /// @notice Calculates floor(a×b÷denominator)
    /// @dev division by 0 will return 0, and should be checked externally
    /// @param a The multiplicand
    /// @param b The multiplier
    /// @param denominator The divisor
    /// @return result The 256-bit result, floor(a×b÷denominator)
    function simpleMulDiv(uint256 a, uint256 b, uint256 denominator) internal pure returns (uint256 result) {
        assembly ("memory-safe") {
            result := div(mul(a, b), denominator)
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {SafeCast} from "./SafeCast.sol";
import {FullMath} from "./FullMath.sol";
import {UnsafeMath} from "./UnsafeMath.sol";
import {FixedPoint96} from "./FixedPoint96.sol";
/// @title Functions based on Q64.96 sqrt price and liquidity
/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
library SqrtPriceMath {
    using SafeCast for uint256;
    error InvalidPriceOrLiquidity();
    error InvalidPrice();
    error NotEnoughLiquidity();
    error PriceOverflow();
    /// @notice Gets the next sqrt price given a delta of currency0
    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
    /// price less in order to not send too much output.
    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
    /// @param sqrtPX96 The starting price, i.e. before accounting for the currency0 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of currency0 to add or remove from virtual reserves
    /// @param add Whether to add or remove the amount of currency0
    /// @return The price after adding or removing amount, depending on add
    function getNextSqrtPriceFromAmount0RoundingUp(uint160 sqrtPX96, uint128 liquidity, uint256 amount, bool add)
        internal
        pure
        returns (uint160)
    {
        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
        if (amount == 0) return sqrtPX96;
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        if (add) {
            unchecked {
                uint256 product = amount * sqrtPX96;
                if (product / amount == sqrtPX96) {
                    uint256 denominator = numerator1 + product;
                    if (denominator >= numerator1) {
                        // always fits in 160 bits
                        return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
                    }
                }
            }
            // denominator is checked for overflow
            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96) + amount));
        } else {
            unchecked {
                uint256 product = amount * sqrtPX96;
                // if the product overflows, we know the denominator underflows
                // in addition, we must check that the denominator does not underflow
                // equivalent: if (product / amount != sqrtPX96 || numerator1 <= product) revert PriceOverflow();
                assembly ("memory-safe") {
                    if iszero(
                        and(
                            eq(div(product, amount), and(sqrtPX96, 0xffffffffffffffffffffffffffffffffffffffff)),
                            gt(numerator1, product)
                        )
                    ) {
                        mstore(0, 0xf5c787f1) // selector for PriceOverflow()
                        revert(0x1c, 0x04)
                    }
                }
                uint256 denominator = numerator1 - product;
                return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
            }
        }
    }
    /// @notice Gets the next sqrt price given a delta of currency1
    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
    /// price less in order to not send too much output.
    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
    /// @param sqrtPX96 The starting price, i.e., before accounting for the currency1 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of currency1 to add, or remove, from virtual reserves
    /// @param add Whether to add, or remove, the amount of currency1
    /// @return The price after adding or removing `amount`
    function getNextSqrtPriceFromAmount1RoundingDown(uint160 sqrtPX96, uint128 liquidity, uint256 amount, bool add)
        internal
        pure
        returns (uint160)
    {
        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
        // in both cases, avoid a mulDiv for most inputs
        if (add) {
            uint256 quotient = (
                amount <= type(uint160).max
                    ? (amount << FixedPoint96.RESOLUTION) / liquidity
                    : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
            );
            return (uint256(sqrtPX96) + quotient).toUint160();
        } else {
            uint256 quotient = (
                amount <= type(uint160).max
                    ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                    : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
            );
            // equivalent: if (sqrtPX96 <= quotient) revert NotEnoughLiquidity();
            assembly ("memory-safe") {
                if iszero(gt(and(sqrtPX96, 0xffffffffffffffffffffffffffffffffffffffff), quotient)) {
                    mstore(0, 0x4323a555) // selector for NotEnoughLiquidity()
                    revert(0x1c, 0x04)
                }
            }
            // always fits 160 bits
            unchecked {
                return uint160(sqrtPX96 - quotient);
            }
        }
    }
    /// @notice Gets the next sqrt price given an input amount of currency0 or currency1
    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountIn How much of currency0, or currency1, is being swapped in
    /// @param zeroForOne Whether the amount in is currency0 or currency1
    /// @return uint160 The price after adding the input amount to currency0 or currency1
    function getNextSqrtPriceFromInput(uint160 sqrtPX96, uint128 liquidity, uint256 amountIn, bool zeroForOne)
        internal
        pure
        returns (uint160)
    {
        // equivalent: if (sqrtPX96 == 0 || liquidity == 0) revert InvalidPriceOrLiquidity();
        assembly ("memory-safe") {
            if or(
                iszero(and(sqrtPX96, 0xffffffffffffffffffffffffffffffffffffffff)),
                iszero(and(liquidity, 0xffffffffffffffffffffffffffffffff))
            ) {
                mstore(0, 0x4f2461b8) // selector for InvalidPriceOrLiquidity()
                revert(0x1c, 0x04)
            }
        }
        // round to make sure that we don't pass the target price
        return zeroForOne
            ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
            : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
    }
    /// @notice Gets the next sqrt price given an output amount of currency0 or currency1
    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
    /// @param sqrtPX96 The starting price before accounting for the output amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountOut How much of currency0, or currency1, is being swapped out
    /// @param zeroForOne Whether the amount out is currency1 or currency0
    /// @return uint160 The price after removing the output amount of currency0 or currency1
    function getNextSqrtPriceFromOutput(uint160 sqrtPX96, uint128 liquidity, uint256 amountOut, bool zeroForOne)
        internal
        pure
        returns (uint160)
    {
        // equivalent: if (sqrtPX96 == 0 || liquidity == 0) revert InvalidPriceOrLiquidity();
        assembly ("memory-safe") {
            if or(
                iszero(and(sqrtPX96, 0xffffffffffffffffffffffffffffffffffffffff)),
                iszero(and(liquidity, 0xffffffffffffffffffffffffffffffff))
            ) {
                mstore(0, 0x4f2461b8) // selector for InvalidPriceOrLiquidity()
                revert(0x1c, 0x04)
            }
        }
        // round to make sure that we pass the target price
        return zeroForOne
            ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
            : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
    }
    /// @notice Gets the amount0 delta between two prices
    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
    /// @param sqrtPriceAX96 A sqrt price
    /// @param sqrtPriceBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up or down
    /// @return uint256 Amount of currency0 required to cover a position of size liquidity between the two passed prices
    function getAmount0Delta(uint160 sqrtPriceAX96, uint160 sqrtPriceBX96, uint128 liquidity, bool roundUp)
        internal
        pure
        returns (uint256)
    {
        unchecked {
            if (sqrtPriceAX96 > sqrtPriceBX96) (sqrtPriceAX96, sqrtPriceBX96) = (sqrtPriceBX96, sqrtPriceAX96);
            // equivalent: if (sqrtPriceAX96 == 0) revert InvalidPrice();
            assembly ("memory-safe") {
                if iszero(and(sqrtPriceAX96, 0xffffffffffffffffffffffffffffffffffffffff)) {
                    mstore(0, 0x00bfc921) // selector for InvalidPrice()
                    revert(0x1c, 0x04)
                }
            }
            uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
            uint256 numerator2 = sqrtPriceBX96 - sqrtPriceAX96;
            return roundUp
                ? UnsafeMath.divRoundingUp(FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtPriceBX96), sqrtPriceAX96)
                : FullMath.mulDiv(numerator1, numerator2, sqrtPriceBX96) / sqrtPriceAX96;
        }
    }
    /// @notice Equivalent to: `a >= b ? a - b : b - a`
    function absDiff(uint160 a, uint160 b) internal pure returns (uint256 res) {
        assembly ("memory-safe") {
            let diff :=
                sub(and(a, 0xffffffffffffffffffffffffffffffffffffffff), and(b, 0xffffffffffffffffffffffffffffffffffffffff))
            // mask = 0 if a >= b else -1 (all 1s)
            let mask := sar(255, diff)
            // if a >= b, res = a - b = 0 ^ (a - b)
            // if a < b, res = b - a = ~~(b - a) = ~(-(b - a) - 1) = ~(a - b - 1) = (-1) ^ (a - b - 1)
            // either way, res = mask ^ (a - b + mask)
            res := xor(mask, add(mask, diff))
        }
    }
    /// @notice Gets the amount1 delta between two prices
    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
    /// @param sqrtPriceAX96 A sqrt price
    /// @param sqrtPriceBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up, or down
    /// @return amount1 Amount of currency1 required to cover a position of size liquidity between the two passed prices
    function getAmount1Delta(uint160 sqrtPriceAX96, uint160 sqrtPriceBX96, uint128 liquidity, bool roundUp)
        internal
        pure
        returns (uint256 amount1)
    {
        uint256 numerator = absDiff(sqrtPriceAX96, sqrtPriceBX96);
        uint256 denominator = FixedPoint96.Q96;
        uint256 _liquidity = uint256(liquidity);
        /**
         * Equivalent to:
         *   amount1 = roundUp
         *       ? FullMath.mulDivRoundingUp(liquidity, sqrtPriceBX96 - sqrtPriceAX96, FixedPoint96.Q96)
         *       : FullMath.mulDiv(liquidity, sqrtPriceBX96 - sqrtPriceAX96, FixedPoint96.Q96);
         * Cannot overflow because `type(uint128).max * type(uint160).max >> 96 < (1 << 192)`.
         */
        amount1 = FullMath.mulDiv(_liquidity, numerator, denominator);
        assembly ("memory-safe") {
            amount1 := add(amount1, and(gt(mulmod(_liquidity, numerator, denominator), 0), roundUp))
        }
    }
    /// @notice Helper that gets signed currency0 delta
    /// @param sqrtPriceAX96 A sqrt price
    /// @param sqrtPriceBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount0 delta
    /// @return int256 Amount of currency0 corresponding to the passed liquidityDelta between the two prices
    function getAmount0Delta(uint160 sqrtPriceAX96, uint160 sqrtPriceBX96, int128 liquidity)
        internal
        pure
        returns (int256)
    {
        unchecked {
            return liquidity < 0
                ? getAmount0Delta(sqrtPriceAX96, sqrtPriceBX96, uint128(-liquidity), false).toInt256()
                : -getAmount0Delta(sqrtPriceAX96, sqrtPriceBX96, uint128(liquidity), true).toInt256();
        }
    }
    /// @notice Helper that gets signed currency1 delta
    /// @param sqrtPriceAX96 A sqrt price
    /// @param sqrtPriceBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount1 delta
    /// @return int256 Amount of currency1 corresponding to the passed liquidityDelta between the two prices
    function getAmount1Delta(uint160 sqrtPriceAX96, uint160 sqrtPriceBX96, int128 liquidity)
        internal
        pure
        returns (int256)
    {
        unchecked {
            return liquidity < 0
                ? getAmount1Delta(sqrtPriceAX96, sqrtPriceBX96, uint128(-liquidity), false).toInt256()
                : -getAmount1Delta(sqrtPriceAX96, sqrtPriceBX96, uint128(liquidity), true).toInt256();
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {FullMath} from "./FullMath.sol";
import {SqrtPriceMath} from "./SqrtPriceMath.sol";
/// @title Computes the result of a swap within ticks
/// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
library SwapMath {
    /// @notice the swap fee is represented in hundredths of a bip, so the max is 100%
    /// @dev the swap fee is the total fee on a swap, including both LP and Protocol fee
    uint256 internal constant MAX_SWAP_FEE = 1e6;
    /// @notice Computes the sqrt price target for the next swap step
    /// @param zeroForOne The direction of the swap, true for currency0 to currency1, false for currency1 to currency0
    /// @param sqrtPriceNextX96 The Q64.96 sqrt price for the next initialized tick
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this value
    /// after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @return sqrtPriceTargetX96 The price target for the next swap step
    function getSqrtPriceTarget(bool zeroForOne, uint160 sqrtPriceNextX96, uint160 sqrtPriceLimitX96)
        internal
        pure
        returns (uint160 sqrtPriceTargetX96)
    {
        assembly ("memory-safe") {
            // a flag to toggle between sqrtPriceNextX96 and sqrtPriceLimitX96
            // when zeroForOne == true, nextOrLimit reduces to sqrtPriceNextX96 >= sqrtPriceLimitX96
            // sqrtPriceTargetX96 = max(sqrtPriceNextX96, sqrtPriceLimitX96)
            // when zeroForOne == false, nextOrLimit reduces to sqrtPriceNextX96 < sqrtPriceLimitX96
            // sqrtPriceTargetX96 = min(sqrtPriceNextX96, sqrtPriceLimitX96)
            sqrtPriceNextX96 := and(sqrtPriceNextX96, 0xffffffffffffffffffffffffffffffffffffffff)
            sqrtPriceLimitX96 := and(sqrtPriceLimitX96, 0xffffffffffffffffffffffffffffffffffffffff)
            let nextOrLimit := xor(lt(sqrtPriceNextX96, sqrtPriceLimitX96), and(zeroForOne, 0x1))
            let symDiff := xor(sqrtPriceNextX96, sqrtPriceLimitX96)
            sqrtPriceTargetX96 := xor(sqrtPriceLimitX96, mul(symDiff, nextOrLimit))
        }
    }
    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
    /// @dev If the swap's amountSpecified is negative, the combined fee and input amount will never exceed the absolute value of the remaining amount.
    /// @param sqrtPriceCurrentX96 The current sqrt price of the pool
    /// @param sqrtPriceTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
    /// @param liquidity The usable liquidity
    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
    /// @return sqrtPriceNextX96 The price after swapping the amount in/out, not to exceed the price target
    /// @return amountIn The amount to be swapped in, of either currency0 or currency1, based on the direction of the swap
    /// @return amountOut The amount to be received, of either currency0 or currency1, based on the direction of the swap
    /// @return feeAmount The amount of input that will be taken as a fee
    /// @dev feePips must be no larger than MAX_SWAP_FEE for this function. We ensure that before setting a fee using LPFeeLibrary.isValid.
    function computeSwapStep(
        uint160 sqrtPriceCurrentX96,
        uint160 sqrtPriceTargetX96,
        uint128 liquidity,
        int256 amountRemaining,
        uint24 feePips
    ) internal pure returns (uint160 sqrtPriceNextX96, uint256 amountIn, uint256 amountOut, uint256 feeAmount) {
        unchecked {
            uint256 _feePips = feePips; // upcast once and cache
            bool zeroForOne = sqrtPriceCurrentX96 >= sqrtPriceTargetX96;
            bool exactIn = amountRemaining < 0;
            if (exactIn) {
                uint256 amountRemainingLessFee =
                    FullMath.mulDiv(uint256(-amountRemaining), MAX_SWAP_FEE - _feePips, MAX_SWAP_FEE);
                amountIn = zeroForOne
                    ? SqrtPriceMath.getAmount0Delta(sqrtPriceTargetX96, sqrtPriceCurrentX96, liquidity, true)
                    : SqrtPriceMath.getAmount1Delta(sqrtPriceCurrentX96, sqrtPriceTargetX96, liquidity, true);
                if (amountRemainingLessFee >= amountIn) {
                    // `amountIn` is capped by the target price
                    sqrtPriceNextX96 = sqrtPriceTargetX96;
                    feeAmount = _feePips == MAX_SWAP_FEE
                        ? amountIn // amountIn is always 0 here, as amountRemainingLessFee == 0 and amountRemainingLessFee >= amountIn
                        : FullMath.mulDivRoundingUp(amountIn, _feePips, MAX_SWAP_FEE - _feePips);
                } else {
                    // exhaust the remaining amount
                    amountIn = amountRemainingLessFee;
                    sqrtPriceNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                        sqrtPriceCurrentX96, liquidity, amountRemainingLessFee, zeroForOne
                    );
                    // we didn't reach the target, so take the remainder of the maximum input as fee
                    feeAmount = uint256(-amountRemaining) - amountIn;
                }
                amountOut = zeroForOne
                    ? SqrtPriceMath.getAmount1Delta(sqrtPriceNextX96, sqrtPriceCurrentX96, liquidity, false)
                    : SqrtPriceMath.getAmount0Delta(sqrtPriceCurrentX96, sqrtPriceNextX96, liquidity, false);
            } else {
                amountOut = zeroForOne
                    ? SqrtPriceMath.getAmount1Delta(sqrtPriceTargetX96, sqrtPriceCurrentX96, liquidity, false)
                    : SqrtPriceMath.getAmount0Delta(sqrtPriceCurrentX96, sqrtPriceTargetX96, liquidity, false);
                if (uint256(amountRemaining) >= amountOut) {
                    // `amountOut` is capped by the target price
                    sqrtPriceNextX96 = sqrtPriceTargetX96;
                } else {
                    // cap the output amount to not exceed the remaining output amount
                    amountOut = uint256(amountRemaining);
                    sqrtPriceNextX96 =
                        SqrtPriceMath.getNextSqrtPriceFromOutput(sqrtPriceCurrentX96, liquidity, amountOut, zeroForOne);
                }
                amountIn = zeroForOne
                    ? SqrtPriceMath.getAmount0Delta(sqrtPriceNextX96, sqrtPriceCurrentX96, liquidity, true)
                    : SqrtPriceMath.getAmount1Delta(sqrtPriceCurrentX96, sqrtPriceNextX96, liquidity, true);
                // `feePips` cannot be `MAX_SWAP_FEE` for exact out
                feeAmount = FullMath.mulDivRoundingUp(amountIn, _feePips, MAX_SWAP_FEE - _feePips);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/**
 * @dev Slot0 is a packed version of solidity structure.
 * Using the packaged version saves gas by not storing the structure fields in memory slots.
 *
 * Layout:
 * 24 bits empty | 24 bits lpFee | 12 bits protocolFee 1->0 | 12 bits protocolFee 0->1 | 24 bits tick | 160 bits sqrtPriceX96
 *
 * Fields in the direction from the least significant bit:
 *
 * The current price
 * uint160 sqrtPriceX96;
 *
 * The current tick
 * int24 tick;
 *
 * Protocol fee, expressed in hundredths of a bip, upper 12 bits are for 1->0, and the lower 12 are for 0->1
 * the maximum is 1000 - meaning the maximum protocol fee is 0.1%
 * the protocolFee is taken from the input first, then the lpFee is taken from the remaining input
 * uint24 protocolFee;
 *
 * The current LP fee of the pool. If the pool is dynamic, this does not include the dynamic fee flag.
 * uint24 lpFee;
 */
type Slot0 is bytes32;
using Slot0Library for Slot0 global;
/// @notice Library for getting and setting values in the Slot0 type
library Slot0Library {
    uint160 internal constant MASK_160_BITS = 0x00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;
    uint24 internal constant MASK_24_BITS = 0xFFFFFF;
    uint8 internal constant TICK_OFFSET = 160;
    uint8 internal constant PROTOCOL_FEE_OFFSET = 184;
    uint8 internal constant LP_FEE_OFFSET = 208;
    // #### GETTERS ####
    function sqrtPriceX96(Slot0 _packed) internal pure returns (uint160 _sqrtPriceX96) {
        assembly ("memory-safe") {
            _sqrtPriceX96 := and(MASK_160_BITS, _packed)
        }
    }
    function tick(Slot0 _packed) internal pure returns (int24 _tick) {
        assembly ("memory-safe") {
            _tick := signextend(2, shr(TICK_OFFSET, _packed))
        }
    }
    function protocolFee(Slot0 _packed) internal pure returns (uint24 _protocolFee) {
        assembly ("memory-safe") {
            _protocolFee := and(MASK_24_BITS, shr(PROTOCOL_FEE_OFFSET, _packed))
        }
    }
    function lpFee(Slot0 _packed) internal pure returns (uint24 _lpFee) {
        assembly ("memory-safe") {
            _lpFee := and(MASK_24_BITS, shr(LP_FEE_OFFSET, _packed))
        }
    }
    // #### SETTERS ####
    function setSqrtPriceX96(Slot0 _packed, uint160 _sqrtPriceX96) internal pure returns (Slot0 _result) {
        assembly ("memory-safe") {
            _result := or(and(not(MASK_160_BITS), _packed), and(MASK_160_BITS, _sqrtPriceX96))
        }
    }
    function setTick(Slot0 _packed, int24 _tick) internal pure returns (Slot0 _result) {
        assembly ("memory-safe") {
            _result := or(and(not(shl(TICK_OFFSET, MASK_24_BITS)), _packed), shl(TICK_OFFSET, and(MASK_24_BITS, _tick)))
        }
    }
    function setProtocolFee(Slot0 _packed, uint24 _protocolFee) internal pure returns (Slot0 _result) {
        assembly ("memory-safe") {
            _result :=
                or(
                    and(not(shl(PROTOCOL_FEE_OFFSET, MASK_24_BITS)), _packed),
                    shl(PROTOCOL_FEE_OFFSET, and(MASK_24_BITS, _protocolFee))
                )
        }
    }
    function setLpFee(Slot0 _packed, uint24 _lpFee) internal pure returns (Slot0 _result) {
        assembly ("memory-safe") {
            _result :=
                or(and(not(shl(LP_FEE_OFFSET, MASK_24_BITS)), _packed), shl(LP_FEE_OFFSET, and(MASK_24_BITS, _lpFee)))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @notice library of functions related to protocol fees
library ProtocolFeeLibrary {
    /// @notice Max protocol fee is 0.1% (1000 pips)
    /// @dev Increasing these values could lead to overflow in Pool.swap
    uint16 public constant MAX_PROTOCOL_FEE = 1000;
    /// @notice Thresholds used for optimized bounds checks on protocol fees
    uint24 internal constant FEE_0_THRESHOLD = 1001;
    uint24 internal constant FEE_1_THRESHOLD = 1001 << 12;
    /// @notice the protocol fee is represented in hundredths of a bip
    uint256 internal constant PIPS_DENOMINATOR = 1_000_000;
    function getZeroForOneFee(uint24 self) internal pure returns (uint16) {
        return uint16(self & 0xfff);
    }
    function getOneForZeroFee(uint24 self) internal pure returns (uint16) {
        return uint16(self >> 12);
    }
    function isValidProtocolFee(uint24 self) internal pure returns (bool valid) {
        // Equivalent to: getZeroForOneFee(self) <= MAX_PROTOCOL_FEE && getOneForZeroFee(self) <= MAX_PROTOCOL_FEE
        assembly ("memory-safe") {
            let isZeroForOneFeeOk := lt(and(self, 0xfff), FEE_0_THRESHOLD)
            let isOneForZeroFeeOk := lt(and(self, 0xfff000), FEE_1_THRESHOLD)
            valid := and(isZeroForOneFeeOk, isOneForZeroFeeOk)
        }
    }
    // The protocol fee is taken from the input amount first and then the LP fee is taken from the remaining
    // The swap fee is capped at 100%
    // Equivalent to protocolFee + lpFee(1_000_000 - protocolFee) / 1_000_000 (rounded up)
    /// @dev here `self` is just a single direction's protocol fee, not a packed type of 2 protocol fees
    function calculateSwapFee(uint16 self, uint24 lpFee) internal pure returns (uint24 swapFee) {
        // protocolFee + lpFee - (protocolFee * lpFee / 1_000_000)
        assembly ("memory-safe") {
            self := and(self, 0xfff)
            lpFee := and(lpFee, 0xffffff)
            let numerator := mul(self, lpFee)
            swapFee := sub(add(self, lpFee), div(numerator, PIPS_DENOMINATOR))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        assembly ("memory-safe") {
            z := add(and(x, 0xffffffffffffffffffffffffffffffff), signextend(15, y))
            if shr(128, z) {
                // revert SafeCastOverflow()
                mstore(0, 0x93dafdf1)
                revert(0x1c, 0x04)
            }
        }
    }
}
// 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 = a * b; // Least significant 256 bits of the product
            uint256 prod1; // Most significant 256 bits of the product
            assembly ("memory-safe") {
                let mm := mulmod(a, b, not(0))
                prod1 := sub(sub(mm, prod0), lt(mm, prod0))
            }
            // Make sure the result is less than 2**256.
            // Also prevents denominator == 0
            require(denominator > prod1);
            // Handle non-overflow cases, 256 by 256 division
            if (prod1 == 0) {
                assembly ("memory-safe") {
                    result := div(prod0, denominator)
                }
                return result;
            }
            ///////////////////////////////////////////////
            // 512 by 256 division.
            ///////////////////////////////////////////////
            // Make division exact by subtracting the remainder from [prod1 prod0]
            // Compute remainder using mulmod
            uint256 remainder;
            assembly ("memory-safe") {
                remainder := mulmod(a, b, denominator)
            }
            // Subtract 256 bit number from 512 bit number
            assembly ("memory-safe") {
                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.
            uint256 twos = (0 - denominator) & denominator;
            // Divide denominator by power of two
            assembly ("memory-safe") {
                denominator := div(denominator, twos)
            }
            // Divide [prod1 prod0] by the factors of two
            assembly ("memory-safe") {
                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 ("memory-safe") {
                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 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 * 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) {
        unchecked {
            result = mulDiv(a, b, denominator);
            if (mulmod(a, b, denominator) != 0) {
                require(++result > 0);
            }
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @title Minimal ERC20 interface for Uniswap
/// @notice Contains a subset of the full ERC20 interface that is used in Uniswap V3
interface IERC20Minimal {
    /// @notice Returns an account's balance in the token
    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
    /// @return The number of tokens held by the account
    function balanceOf(address account) external view returns (uint256);
    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
    /// @param recipient The account that will receive the amount transferred
    /// @param amount The number of tokens to send from the sender to the recipient
    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
    function transfer(address recipient, uint256 amount) external returns (bool);
    /// @notice Returns the current allowance given to a spender by an owner
    /// @param owner The account of the token owner
    /// @param spender The account of the token spender
    /// @return The current allowance granted by `owner` to `spender`
    function allowance(address owner, address spender) external view returns (uint256);
    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
    /// @param amount The amount of tokens allowed to be used by `spender`
    /// @return Returns true for a successful approval, false for unsuccessful
    function approve(address spender, uint256 amount) external returns (bool);
    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
    /// @param sender The account from which the transfer will be initiated
    /// @param recipient The recipient of the transfer
    /// @param amount The amount of the transfer
    /// @return Returns true for a successful transfer, false for unsuccessful
    function transferFrom(address sender, address recipient, uint256 amount) external returns (bool);
    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
    /// @param from The account from which the tokens were sent, i.e. the balance decreased
    /// @param to The account to which the tokens were sent, i.e. the balance increased
    /// @param value The amount of tokens that were transferred
    event Transfer(address indexed from, address indexed to, uint256 value);
    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
    /// @param owner The account that approved spending of its tokens
    /// @param spender The account for which the spending allowance was modified
    /// @param value The new allowance from the owner to the spender
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @title BitMath
/// @dev This library provides functionality for computing bit properties of an unsigned integer
/// @author Solady (https://github.com/Vectorized/solady/blob/8200a70e8dc2a77ecb074fc2e99a2a0d36547522/src/utils/LibBit.sol)
library BitMath {
    /// @notice Returns the index of the most significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @param x the value for which to compute the most significant bit, must be greater than 0
    /// @return r the index of the most significant bit
    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        assembly ("memory-safe") {
            r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
            r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            // forgefmt: disable-next-item
            r := or(r, byte(and(0x1f, shr(shr(r, x), 0x8421084210842108cc6318c6db6d54be)),
                0x0706060506020500060203020504000106050205030304010505030400000000))
        }
    }
    /// @notice Returns the index of the least significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @param x the value for which to compute the least significant bit, must be greater than 0
    /// @return r the index of the least significant bit
    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        assembly ("memory-safe") {
            // Isolate the least significant bit.
            x := and(x, sub(0, x))
            // For the upper 3 bits of the result, use a De Bruijn-like lookup.
            // Credit to adhusson: https://blog.adhusson.com/cheap-find-first-set-evm/
            // forgefmt: disable-next-item
            r := shl(5, shr(252, shl(shl(2, shr(250, mul(x,
                0xb6db6db6ddddddddd34d34d349249249210842108c6318c639ce739cffffffff))),
                0x8040405543005266443200005020610674053026020000107506200176117077)))
            // For the lower 5 bits of the result, use a De Bruijn lookup.
            // forgefmt: disable-next-item
            r := or(r, byte(and(div(0xd76453e0, shr(r, x)), 0x1f),
                0x001f0d1e100c1d070f090b19131c1706010e11080a1a141802121b1503160405))
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @notice Interface for claims over a contract balance, wrapped as a ERC6909
interface IERC6909Claims {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/
    event OperatorSet(address indexed owner, address indexed operator, bool approved);
    event Approval(address indexed owner, address indexed spender, uint256 indexed id, uint256 amount);
    event Transfer(address caller, address indexed from, address indexed to, uint256 indexed id, uint256 amount);
    /*//////////////////////////////////////////////////////////////
                                 FUNCTIONS
    //////////////////////////////////////////////////////////////*/
    /// @notice Owner balance of an id.
    /// @param owner The address of the owner.
    /// @param id The id of the token.
    /// @return amount The balance of the token.
    function balanceOf(address owner, uint256 id) external view returns (uint256 amount);
    /// @notice Spender allowance of an id.
    /// @param owner The address of the owner.
    /// @param spender The address of the spender.
    /// @param id The id of the token.
    /// @return amount The allowance of the token.
    function allowance(address owner, address spender, uint256 id) external view returns (uint256 amount);
    /// @notice Checks if a spender is approved by an owner as an operator
    /// @param owner The address of the owner.
    /// @param spender The address of the spender.
    /// @return approved The approval status.
    function isOperator(address owner, address spender) external view returns (bool approved);
    /// @notice Transfers an amount of an id from the caller to a receiver.
    /// @param receiver The address of the receiver.
    /// @param id The id of the token.
    /// @param amount The amount of the token.
    /// @return bool True, always, unless the function reverts
    function transfer(address receiver, uint256 id, uint256 amount) external returns (bool);
    /// @notice Transfers an amount of an id from a sender to a receiver.
    /// @param sender The address of the sender.
    /// @param receiver The address of the receiver.
    /// @param id The id of the token.
    /// @param amount The amount of the token.
    /// @return bool True, always, unless the function reverts
    function transferFrom(address sender, address receiver, uint256 id, uint256 amount) external returns (bool);
    /// @notice Approves an amount of an id to a spender.
    /// @param spender The address of the spender.
    /// @param id The id of the token.
    /// @param amount The amount of the token.
    /// @return bool True, always
    function approve(address spender, uint256 id, uint256 amount) external returns (bool);
    /// @notice Sets or removes an operator for the caller.
    /// @param operator The address of the operator.
    /// @param approved The approval status.
    /// @return bool True, always
    function setOperator(address operator, bool approved) external returns (bool);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {Currency} from "../types/Currency.sol";
import {PoolId} from "../types/PoolId.sol";
import {PoolKey} from "../types/PoolKey.sol";
/// @notice Interface for all protocol-fee related functions in the pool manager
interface IProtocolFees {
    /// @notice Thrown when protocol fee is set too high
    error ProtocolFeeTooLarge(uint24 fee);
    /// @notice Thrown when collectProtocolFees or setProtocolFee is not called by the controller.
    error InvalidCaller();
    /// @notice Thrown when collectProtocolFees is attempted on a token that is synced.
    error ProtocolFeeCurrencySynced();
    /// @notice Emitted when the protocol fee controller address is updated in setProtocolFeeController.
    event ProtocolFeeControllerUpdated(address indexed protocolFeeController);
    /// @notice Emitted when the protocol fee is updated for a pool.
    event ProtocolFeeUpdated(PoolId indexed id, uint24 protocolFee);
    /// @notice Given a currency address, returns the protocol fees accrued in that currency
    /// @param currency The currency to check
    /// @return amount The amount of protocol fees accrued in the currency
    function protocolFeesAccrued(Currency currency) external view returns (uint256 amount);
    /// @notice Sets the protocol fee for the given pool
    /// @param key The key of the pool to set a protocol fee for
    /// @param newProtocolFee The fee to set
    function setProtocolFee(PoolKey memory key, uint24 newProtocolFee) external;
    /// @notice Sets the protocol fee controller
    /// @param controller The new protocol fee controller
    function setProtocolFeeController(address controller) external;
    /// @notice Collects the protocol fees for a given recipient and currency, returning the amount collected
    /// @dev This will revert if the contract is unlocked
    /// @param recipient The address to receive the protocol fees
    /// @param currency The currency to withdraw
    /// @param amount The amount of currency to withdraw
    /// @return amountCollected The amount of currency successfully withdrawn
    function collectProtocolFees(address recipient, Currency currency, uint256 amount)
        external
        returns (uint256 amountCollected);
    /// @notice Returns the current protocol fee controller address
    /// @return address The current protocol fee controller address
    function protocolFeeController() external view returns (address);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @notice Interface for functions to access any storage slot in a contract
interface IExtsload {
    /// @notice Called by external contracts to access granular pool state
    /// @param slot Key of slot to sload
    /// @return value The value of the slot as bytes32
    function extsload(bytes32 slot) external view returns (bytes32 value);
    /// @notice Called by external contracts to access granular pool state
    /// @param startSlot Key of slot to start sloading from
    /// @param nSlots Number of slots to load into return value
    /// @return values List of loaded values.
    function extsload(bytes32 startSlot, uint256 nSlots) external view returns (bytes32[] memory values);
    /// @notice Called by external contracts to access sparse pool state
    /// @param slots List of slots to SLOAD from.
    /// @return values List of loaded values.
    function extsload(bytes32[] calldata slots) external view returns (bytes32[] memory values);
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.24;
/// @notice Interface for functions to access any transient storage slot in a contract
interface IExttload {
    /// @notice Called by external contracts to access transient storage of the contract
    /// @param slot Key of slot to tload
    /// @return value The value of the slot as bytes32
    function exttload(bytes32 slot) external view returns (bytes32 value);
    /// @notice Called by external contracts to access sparse transient pool state
    /// @param slots List of slots to tload
    /// @return values List of loaded values
    function exttload(bytes32[] calldata slots) external view returns (bytes32[] memory values);
}
// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity >=0.8.0;
/// @notice Simple single owner authorization mixin.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/auth/Owned.sol)
abstract contract Owned {
    /*//////////////////////////////////////////////////////////////
                                 EVENTS
    //////////////////////////////////////////////////////////////*/
    event OwnershipTransferred(address indexed user, address indexed newOwner);
    /*//////////////////////////////////////////////////////////////
                            OWNERSHIP STORAGE
    //////////////////////////////////////////////////////////////*/
    address public owner;
    modifier onlyOwner() virtual {
        require(msg.sender == owner, "UNAUTHORIZED");
        _;
    }
    /*//////////////////////////////////////////////////////////////
                               CONSTRUCTOR
    //////////////////////////////////////////////////////////////*/
    constructor(address _owner) {
        owner = _owner;
        emit OwnershipTransferred(address(0), _owner);
    }
    /*//////////////////////////////////////////////////////////////
                             OWNERSHIP LOGIC
    //////////////////////////////////////////////////////////////*/
    function transferOwnership(address newOwner) public virtual onlyOwner {
        owner = newOwner;
        emit OwnershipTransferred(msg.sender, newOwner);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
import {IERC6909Claims} from "./interfaces/external/IERC6909Claims.sol";
/// @notice Minimalist and gas efficient standard ERC6909 implementation.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/tokens/ERC6909.sol)
/// @dev Copied from the commit at 4b47a19038b798b4a33d9749d25e570443520647
/// @dev This contract has been modified from the implementation at the above link.
abstract contract ERC6909 is IERC6909Claims {
    /*//////////////////////////////////////////////////////////////
                             ERC6909 STORAGE
    //////////////////////////////////////////////////////////////*/
    mapping(address owner => mapping(address operator => bool isOperator)) public isOperator;
    mapping(address owner => mapping(uint256 id => uint256 balance)) public balanceOf;
    mapping(address owner => mapping(address spender => mapping(uint256 id => uint256 amount))) public allowance;
    /*//////////////////////////////////////////////////////////////
                              ERC6909 LOGIC
    //////////////////////////////////////////////////////////////*/
    function transfer(address receiver, uint256 id, uint256 amount) public virtual returns (bool) {
        balanceOf[msg.sender][id] -= amount;
        balanceOf[receiver][id] += amount;
        emit Transfer(msg.sender, msg.sender, receiver, id, amount);
        return true;
    }
    function transferFrom(address sender, address receiver, uint256 id, uint256 amount) public virtual returns (bool) {
        if (msg.sender != sender && !isOperator[sender][msg.sender]) {
            uint256 allowed = allowance[sender][msg.sender][id];
            if (allowed != type(uint256).max) allowance[sender][msg.sender][id] = allowed - amount;
        }
        balanceOf[sender][id] -= amount;
        balanceOf[receiver][id] += amount;
        emit Transfer(msg.sender, sender, receiver, id, amount);
        return true;
    }
    function approve(address spender, uint256 id, uint256 amount) public virtual returns (bool) {
        allowance[msg.sender][spender][id] = amount;
        emit Approval(msg.sender, spender, id, amount);
        return true;
    }
    function setOperator(address operator, bool approved) public virtual returns (bool) {
        isOperator[msg.sender][operator] = approved;
        emit OperatorSet(msg.sender, operator, approved);
        return true;
    }
    /*//////////////////////////////////////////////////////////////
                              ERC165 LOGIC
    //////////////////////////////////////////////////////////////*/
    function supportsInterface(bytes4 interfaceId) public view virtual returns (bool) {
        return interfaceId == 0x01ffc9a7 // ERC165 Interface ID for ERC165
            || interfaceId == 0x0f632fb3; // ERC165 Interface ID for ERC6909
    }
    /*//////////////////////////////////////////////////////////////
                        INTERNAL MINT/BURN LOGIC
    //////////////////////////////////////////////////////////////*/
    function _mint(address receiver, uint256 id, uint256 amount) internal virtual {
        balanceOf[receiver][id] += amount;
        emit Transfer(msg.sender, address(0), receiver, id, amount);
    }
    function _burn(address sender, uint256 id, uint256 amount) internal virtual {
        balanceOf[sender][id] -= amount;
        emit Transfer(msg.sender, sender, address(0), id, amount);
    }
}
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;
/// @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;
}

pragma solidity 0.4.24;

// File: openzeppelin-solidity/contracts/token/ERC20/ERC20Basic.sol

/**
 * @title ERC20Basic
 * @dev Simpler version of ERC20 interface
 * See https://github.com/ethereum/EIPs/issues/179
 */
contract ERC20Basic {
  function totalSupply() public view returns (uint256);
  function balanceOf(address _who) public view returns (uint256);
  function transfer(address _to, uint256 _value) public returns (bool);
  event Transfer(address indexed from, address indexed to, uint256 value);
}

// File: openzeppelin-solidity/contracts/math/SafeMath.sol

/**
 * @title SafeMath
 * @dev Math operations with safety checks that throw on error
 */
library SafeMath {

  /**
  * @dev Multiplies two numbers, throws on overflow.
  */
  function mul(uint256 _a, uint256 _b) internal pure returns (uint256 c) {
    // Gas optimization: this is cheaper than asserting 'a' not being zero, but the
    // benefit is lost if 'b' is also tested.
    // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522
    if (_a == 0) {
      return 0;
    }

    c = _a * _b;
    assert(c / _a == _b);
    return c;
  }

  /**
  * @dev Integer division of two numbers, truncating the quotient.
  */
  function div(uint256 _a, uint256 _b) internal pure returns (uint256) {
    // assert(_b > 0); // Solidity automatically throws when dividing by 0
    // uint256 c = _a / _b;
    // assert(_a == _b * c + _a % _b); // There is no case in which this doesn't hold
    return _a / _b;
  }

  /**
  * @dev Subtracts two numbers, throws on overflow (i.e. if subtrahend is greater than minuend).
  */
  function sub(uint256 _a, uint256 _b) internal pure returns (uint256) {
    assert(_b <= _a);
    return _a - _b;
  }

  /**
  * @dev Adds two numbers, throws on overflow.
  */
  function add(uint256 _a, uint256 _b) internal pure returns (uint256 c) {
    c = _a + _b;
    assert(c >= _a);
    return c;
  }
}

// File: openzeppelin-solidity/contracts/token/ERC20/BasicToken.sol

/**
 * @title Basic token
 * @dev Basic version of StandardToken, with no allowances.
 */
contract BasicToken is ERC20Basic {
  using SafeMath for uint256;

  mapping(address => uint256) internal balances;

  uint256 internal totalSupply_;

  /**
  * @dev Total number of tokens in existence
  */
  function totalSupply() public view returns (uint256) {
    return totalSupply_;
  }

  /**
  * @dev Transfer token for a specified address
  * @param _to The address to transfer to.
  * @param _value The amount to be transferred.
  */
  function transfer(address _to, uint256 _value) public returns (bool) {
    require(_value <= balances[msg.sender]);
    require(_to != address(0));

    balances[msg.sender] = balances[msg.sender].sub(_value);
    balances[_to] = balances[_to].add(_value);
    emit Transfer(msg.sender, _to, _value);
    return true;
  }

  /**
  * @dev Gets the balance of the specified address.
  * @param _owner The address to query the the balance of.
  * @return An uint256 representing the amount owned by the passed address.
  */
  function balanceOf(address _owner) public view returns (uint256) {
    return balances[_owner];
  }

}

// File: openzeppelin-solidity/contracts/token/ERC20/ERC20.sol

/**
 * @title ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/20
 */
contract ERC20 is ERC20Basic {
  function allowance(address _owner, address _spender)
    public view returns (uint256);

  function transferFrom(address _from, address _to, uint256 _value)
    public returns (bool);

  function approve(address _spender, uint256 _value) public returns (bool);
  event Approval(
    address indexed owner,
    address indexed spender,
    uint256 value
  );
}

// File: openzeppelin-solidity/contracts/token/ERC20/StandardToken.sol

/**
 * @title Standard ERC20 token
 *
 * @dev Implementation of the basic standard token.
 * https://github.com/ethereum/EIPs/issues/20
 * Based on code by FirstBlood: https://github.com/Firstbloodio/token/blob/master/smart_contract/FirstBloodToken.sol
 */
contract StandardToken is ERC20, BasicToken {

  mapping (address => mapping (address => uint256)) internal allowed;


  /**
   * @dev Transfer tokens from one address to another
   * @param _from address The address which you want to send tokens from
   * @param _to address The address which you want to transfer to
   * @param _value uint256 the amount of tokens to be transferred
   */
  function transferFrom(
    address _from,
    address _to,
    uint256 _value
  )
    public
    returns (bool)
  {
    require(_value <= balances[_from]);
    require(_value <= allowed[_from][msg.sender]);
    require(_to != address(0));

    balances[_from] = balances[_from].sub(_value);
    balances[_to] = balances[_to].add(_value);
    allowed[_from][msg.sender] = allowed[_from][msg.sender].sub(_value);
    emit Transfer(_from, _to, _value);
    return true;
  }

  /**
   * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
   * 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
   * @param _spender The address which will spend the funds.
   * @param _value The amount of tokens to be spent.
   */
  function approve(address _spender, uint256 _value) public returns (bool) {
    allowed[msg.sender][_spender] = _value;
    emit Approval(msg.sender, _spender, _value);
    return true;
  }

  /**
   * @dev Function to check the amount of tokens that an owner allowed to a spender.
   * @param _owner address The address which owns the funds.
   * @param _spender address The address which will spend the funds.
   * @return A uint256 specifying the amount of tokens still available for the spender.
   */
  function allowance(
    address _owner,
    address _spender
   )
    public
    view
    returns (uint256)
  {
    return allowed[_owner][_spender];
  }

  /**
   * @dev Increase the amount of tokens that an owner allowed to a spender.
   * approve should be called when allowed[_spender] == 0. To increment
   * allowed value is better to use this function to avoid 2 calls (and wait until
   * the first transaction is mined)
   * From MonolithDAO Token.sol
   * @param _spender The address which will spend the funds.
   * @param _addedValue The amount of tokens to increase the allowance by.
   */
  function increaseApproval(
    address _spender,
    uint256 _addedValue
  )
    public
    returns (bool)
  {
    allowed[msg.sender][_spender] = (
      allowed[msg.sender][_spender].add(_addedValue));
    emit Approval(msg.sender, _spender, allowed[msg.sender][_spender]);
    return true;
  }

  /**
   * @dev Decrease the amount of tokens that an owner allowed to a spender.
   * approve should be called when allowed[_spender] == 0. To decrement
   * allowed value is better to use this function to avoid 2 calls (and wait until
   * the first transaction is mined)
   * From MonolithDAO Token.sol
   * @param _spender The address which will spend the funds.
   * @param _subtractedValue The amount of tokens to decrease the allowance by.
   */
  function decreaseApproval(
    address _spender,
    uint256 _subtractedValue
  )
    public
    returns (bool)
  {
    uint256 oldValue = allowed[msg.sender][_spender];
    if (_subtractedValue >= oldValue) {
      allowed[msg.sender][_spender] = 0;
    } else {
      allowed[msg.sender][_spender] = oldValue.sub(_subtractedValue);
    }
    emit Approval(msg.sender, _spender, allowed[msg.sender][_spender]);
    return true;
  }

}

// File: openzeppelin-solidity/contracts/token/ERC20/DetailedERC20.sol

/**
 * @title DetailedERC20 token
 * @dev The decimals are only for visualization purposes.
 * All the operations are done using the smallest and indivisible token unit,
 * just as on Ethereum all the operations are done in wei.
 */
contract DetailedERC20 is ERC20 {
  string public name;
  string public symbol;
  uint8 public decimals;

  constructor(string _name, string _symbol, uint8 _decimals) public {
    name = _name;
    symbol = _symbol;
    decimals = _decimals;
  }
}

// File: openzeppelin-solidity/contracts/ownership/Ownable.sol

/**
 * @title Ownable
 * @dev The Ownable contract has an owner address, and provides basic authorization control
 * functions, this simplifies the implementation of "user permissions".
 */
contract Ownable {
  address public owner;


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


  /**
   * @dev The Ownable constructor sets the original `owner` of the contract to the sender
   * account.
   */
  constructor() public {
    owner = msg.sender;
  }

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

  /**
   * @dev Allows the current owner to relinquish control of the contract.
   * @notice Renouncing to ownership will leave the contract without an owner.
   * It will not be possible to call the functions with the `onlyOwner`
   * modifier anymore.
   */
  function renounceOwnership() public onlyOwner {
    emit OwnershipRenounced(owner);
    owner = address(0);
  }

  /**
   * @dev Allows the current owner to transfer control of the contract to a newOwner.
   * @param _newOwner The address to transfer ownership to.
   */
  function transferOwnership(address _newOwner) public onlyOwner {
    _transferOwnership(_newOwner);
  }

  /**
   * @dev Transfers control of the contract to a newOwner.
   * @param _newOwner The address to transfer ownership to.
   */
  function _transferOwnership(address _newOwner) internal {
    require(_newOwner != address(0));
    emit OwnershipTransferred(owner, _newOwner);
    owner = _newOwner;
  }
}

// File: openzeppelin-solidity/contracts/token/ERC20/MintableToken.sol

/**
 * @title Mintable token
 * @dev Simple ERC20 Token example, with mintable token creation
 * Based on code by TokenMarketNet: https://github.com/TokenMarketNet/ico/blob/master/contracts/MintableToken.sol
 */
contract MintableToken is StandardToken, Ownable {
  event Mint(address indexed to, uint256 amount);
  event MintFinished();

  bool public mintingFinished = false;


  modifier canMint() {
    require(!mintingFinished);
    _;
  }

  modifier hasMintPermission() {
    require(msg.sender == owner);
    _;
  }

  /**
   * @dev Function to mint tokens
   * @param _to The address that will receive the minted tokens.
   * @param _amount The amount of tokens to mint.
   * @return A boolean that indicates if the operation was successful.
   */
  function mint(
    address _to,
    uint256 _amount
  )
    public
    hasMintPermission
    canMint
    returns (bool)
  {
    totalSupply_ = totalSupply_.add(_amount);
    balances[_to] = balances[_to].add(_amount);
    emit Mint(_to, _amount);
    emit Transfer(address(0), _to, _amount);
    return true;
  }

  /**
   * @dev Function to stop minting new tokens.
   * @return True if the operation was successful.
   */
  function finishMinting() public onlyOwner canMint returns (bool) {
    mintingFinished = true;
    emit MintFinished();
    return true;
  }
}

// File: openzeppelin-solidity/contracts/token/ERC20/BurnableToken.sol

/**
 * @title Burnable Token
 * @dev Token that can be irreversibly burned (destroyed).
 */
contract BurnableToken is BasicToken {

  event Burn(address indexed burner, uint256 value);

  /**
   * @dev Burns a specific amount of tokens.
   * @param _value The amount of token to be burned.
   */
  function burn(uint256 _value) public {
    _burn(msg.sender, _value);
  }

  function _burn(address _who, uint256 _value) internal {
    require(_value <= balances[_who]);
    // no need to require value <= totalSupply, since that would imply the
    // sender's balance is greater than the totalSupply, which *should* be an assertion failure

    balances[_who] = balances[_who].sub(_value);
    totalSupply_ = totalSupply_.sub(_value);
    emit Burn(_who, _value);
    emit Transfer(_who, address(0), _value);
  }
}

// File: openzeppelin-solidity/contracts/lifecycle/Pausable.sol

/**
 * @title Pausable
 * @dev Base contract which allows children to implement an emergency stop mechanism.
 */
contract Pausable is Ownable {
  event Pause();
  event Unpause();

  bool public paused = false;


  /**
   * @dev Modifier to make a function callable only when the contract is not paused.
   */
  modifier whenNotPaused() {
    require(!paused);
    _;
  }

  /**
   * @dev Modifier to make a function callable only when the contract is paused.
   */
  modifier whenPaused() {
    require(paused);
    _;
  }

  /**
   * @dev called by the owner to pause, triggers stopped state
   */
  function pause() public onlyOwner whenNotPaused {
    paused = true;
    emit Pause();
  }

  /**
   * @dev called by the owner to unpause, returns to normal state
   */
  function unpause() public onlyOwner whenPaused {
    paused = false;
    emit Unpause();
  }
}

// File: openzeppelin-solidity/contracts/token/ERC20/PausableToken.sol

/**
 * @title Pausable token
 * @dev StandardToken modified with pausable transfers.
 **/
contract PausableToken is StandardToken, Pausable {

  function transfer(
    address _to,
    uint256 _value
  )
    public
    whenNotPaused
    returns (bool)
  {
    return super.transfer(_to, _value);
  }

  function transferFrom(
    address _from,
    address _to,
    uint256 _value
  )
    public
    whenNotPaused
    returns (bool)
  {
    return super.transferFrom(_from, _to, _value);
  }

  function approve(
    address _spender,
    uint256 _value
  )
    public
    whenNotPaused
    returns (bool)
  {
    return super.approve(_spender, _value);
  }

  function increaseApproval(
    address _spender,
    uint _addedValue
  )
    public
    whenNotPaused
    returns (bool success)
  {
    return super.increaseApproval(_spender, _addedValue);
  }

  function decreaseApproval(
    address _spender,
    uint _subtractedValue
  )
    public
    whenNotPaused
    returns (bool success)
  {
    return super.decreaseApproval(_spender, _subtractedValue);
  }
}

// File: openzeppelin-solidity/contracts/ownership/Claimable.sol

/**
 * @title Claimable
 * @dev Extension for the Ownable contract, where the ownership needs to be claimed.
 * This allows the new owner to accept the transfer.
 */
contract Claimable is Ownable {
  address public pendingOwner;

  /**
   * @dev Modifier throws if called by any account other than the pendingOwner.
   */
  modifier onlyPendingOwner() {
    require(msg.sender == pendingOwner);
    _;
  }

  /**
   * @dev Allows the current owner to set the pendingOwner address.
   * @param newOwner The address to transfer ownership to.
   */
  function transferOwnership(address newOwner) public onlyOwner {
    pendingOwner = newOwner;
  }

  /**
   * @dev Allows the pendingOwner address to finalize the transfer.
   */
  function claimOwnership() public onlyPendingOwner {
    emit OwnershipTransferred(owner, pendingOwner);
    owner = pendingOwner;
    pendingOwner = address(0);
  }
}

// File: openzeppelin-solidity/contracts/token/ERC20/SafeERC20.sol

/**
 * @title SafeERC20
 * @dev Wrappers around ERC20 operations that throw on failure.
 * To use this library you can add a `using SafeERC20 for ERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
  function safeTransfer(
    ERC20Basic _token,
    address _to,
    uint256 _value
  )
    internal
  {
    require(_token.transfer(_to, _value));
  }

  function safeTransferFrom(
    ERC20 _token,
    address _from,
    address _to,
    uint256 _value
  )
    internal
  {
    require(_token.transferFrom(_from, _to, _value));
  }

  function safeApprove(
    ERC20 _token,
    address _spender,
    uint256 _value
  )
    internal
  {
    require(_token.approve(_spender, _value));
  }
}

// File: openzeppelin-solidity/contracts/ownership/CanReclaimToken.sol

/**
 * @title Contracts that should be able to recover tokens
 * @author SylTi
 * @dev This allow a contract to recover any ERC20 token received in a contract by transferring the balance to the contract owner.
 * This will prevent any accidental loss of tokens.
 */
contract CanReclaimToken is Ownable {
  using SafeERC20 for ERC20Basic;

  /**
   * @dev Reclaim all ERC20Basic compatible tokens
   * @param _token ERC20Basic The address of the token contract
   */
  function reclaimToken(ERC20Basic _token) external onlyOwner {
    uint256 balance = _token.balanceOf(this);
    _token.safeTransfer(owner, balance);
  }

}

// File: contracts/utils/OwnableContract.sol

// empty block is used as this contract just inherits others.
contract OwnableContract is CanReclaimToken, Claimable { } /* solhint-disable-line no-empty-blocks */

// File: contracts/token/WBTC.sol

contract WBTC is StandardToken, DetailedERC20("Wrapped BTC", "WBTC", 8),
    MintableToken, BurnableToken, PausableToken, OwnableContract {

    function burn(uint value) public onlyOwner {
        super.burn(value);
    }

    function finishMinting() public onlyOwner returns (bool) {
        return false;
    }

    function renounceOwnership() public onlyOwner {
        revert("renouncing ownership is blocked");
    }
}

pragma solidity ^0.4.17;

/**
 * @title SafeMath
 * @dev Math operations with safety checks that throw on error
 */
library SafeMath {
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }
        uint256 c = a * b;
        assert(c / a == b);
        return c;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        // assert(b > 0); // Solidity automatically throws when dividing by 0
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold
        return c;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        assert(b <= a);
        return a - b;
    }

    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        assert(c >= a);
        return c;
    }
}

/**
 * @title Ownable
 * @dev The Ownable contract has an owner address, and provides basic authorization control
 * functions, this simplifies the implementation of "user permissions".
 */
contract Ownable {
    address public owner;

    /**
      * @dev The Ownable constructor sets the original `owner` of the contract to the sender
      * account.
      */
    function Ownable() public {
        owner = msg.sender;
    }

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

    /**
    * @dev Allows the current owner to transfer control of the contract to a newOwner.
    * @param newOwner The address to transfer ownership to.
    */
    function transferOwnership(address newOwner) public onlyOwner {
        if (newOwner != address(0)) {
            owner = newOwner;
        }
    }

}

/**
 * @title ERC20Basic
 * @dev Simpler version of ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/20
 */
contract ERC20Basic {
    uint public _totalSupply;
    function totalSupply() public constant returns (uint);
    function balanceOf(address who) public constant returns (uint);
    function transfer(address to, uint value) public;
    event Transfer(address indexed from, address indexed to, uint value);
}

/**
 * @title ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/20
 */
contract ERC20 is ERC20Basic {
    function allowance(address owner, address spender) public constant returns (uint);
    function transferFrom(address from, address to, uint value) public;
    function approve(address spender, uint value) public;
    event Approval(address indexed owner, address indexed spender, uint value);
}

/**
 * @title Basic token
 * @dev Basic version of StandardToken, with no allowances.
 */
contract BasicToken is Ownable, ERC20Basic {
    using SafeMath for uint;

    mapping(address => uint) public balances;

    // additional variables for use if transaction fees ever became necessary
    uint public basisPointsRate = 0;
    uint public maximumFee = 0;

    /**
    * @dev Fix for the ERC20 short address attack.
    */
    modifier onlyPayloadSize(uint size) {
        require(!(msg.data.length < size + 4));
        _;
    }

    /**
    * @dev transfer token for a specified address
    * @param _to The address to transfer to.
    * @param _value The amount to be transferred.
    */
    function transfer(address _to, uint _value) public onlyPayloadSize(2 * 32) {
        uint fee = (_value.mul(basisPointsRate)).div(10000);
        if (fee > maximumFee) {
            fee = maximumFee;
        }
        uint sendAmount = _value.sub(fee);
        balances[msg.sender] = balances[msg.sender].sub(_value);
        balances[_to] = balances[_to].add(sendAmount);
        if (fee > 0) {
            balances[owner] = balances[owner].add(fee);
            Transfer(msg.sender, owner, fee);
        }
        Transfer(msg.sender, _to, sendAmount);
    }

    /**
    * @dev Gets the balance of the specified address.
    * @param _owner The address to query the the balance of.
    * @return An uint representing the amount owned by the passed address.
    */
    function balanceOf(address _owner) public constant returns (uint balance) {
        return balances[_owner];
    }

}

/**
 * @title Standard ERC20 token
 *
 * @dev Implementation of the basic standard token.
 * @dev https://github.com/ethereum/EIPs/issues/20
 * @dev Based oncode by FirstBlood: https://github.com/Firstbloodio/token/blob/master/smart_contract/FirstBloodToken.sol
 */
contract StandardToken is BasicToken, ERC20 {

    mapping (address => mapping (address => uint)) public allowed;

    uint public constant MAX_UINT = 2**256 - 1;

    /**
    * @dev Transfer tokens from one address to another
    * @param _from address The address which you want to send tokens from
    * @param _to address The address which you want to transfer to
    * @param _value uint the amount of tokens to be transferred
    */
    function transferFrom(address _from, address _to, uint _value) public onlyPayloadSize(3 * 32) {
        var _allowance = allowed[_from][msg.sender];

        // Check is not needed because sub(_allowance, _value) will already throw if this condition is not met
        // if (_value > _allowance) throw;

        uint fee = (_value.mul(basisPointsRate)).div(10000);
        if (fee > maximumFee) {
            fee = maximumFee;
        }
        if (_allowance < MAX_UINT) {
            allowed[_from][msg.sender] = _allowance.sub(_value);
        }
        uint sendAmount = _value.sub(fee);
        balances[_from] = balances[_from].sub(_value);
        balances[_to] = balances[_to].add(sendAmount);
        if (fee > 0) {
            balances[owner] = balances[owner].add(fee);
            Transfer(_from, owner, fee);
        }
        Transfer(_from, _to, sendAmount);
    }

    /**
    * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
    * @param _spender The address which will spend the funds.
    * @param _value The amount of tokens to be spent.
    */
    function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {

        // To change the approve amount you first have to reduce the addresses`
        //  allowance to zero by calling `approve(_spender, 0)` if it is not
        //  already 0 to mitigate the race condition described here:
        //  https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
        require(!((_value != 0) && (allowed[msg.sender][_spender] != 0)));

        allowed[msg.sender][_spender] = _value;
        Approval(msg.sender, _spender, _value);
    }

    /**
    * @dev Function to check the amount of tokens than an owner allowed to a spender.
    * @param _owner address The address which owns the funds.
    * @param _spender address The address which will spend the funds.
    * @return A uint specifying the amount of tokens still available for the spender.
    */
    function allowance(address _owner, address _spender) public constant returns (uint remaining) {
        return allowed[_owner][_spender];
    }

}


/**
 * @title Pausable
 * @dev Base contract which allows children to implement an emergency stop mechanism.
 */
contract Pausable is Ownable {
  event Pause();
  event Unpause();

  bool public paused = false;


  /**
   * @dev Modifier to make a function callable only when the contract is not paused.
   */
  modifier whenNotPaused() {
    require(!paused);
    _;
  }

  /**
   * @dev Modifier to make a function callable only when the contract is paused.
   */
  modifier whenPaused() {
    require(paused);
    _;
  }

  /**
   * @dev called by the owner to pause, triggers stopped state
   */
  function pause() onlyOwner whenNotPaused public {
    paused = true;
    Pause();
  }

  /**
   * @dev called by the owner to unpause, returns to normal state
   */
  function unpause() onlyOwner whenPaused public {
    paused = false;
    Unpause();
  }
}

contract BlackList is Ownable, BasicToken {

    /////// Getters to allow the same blacklist to be used also by other contracts (including upgraded Tether) ///////
    function getBlackListStatus(address _maker) external constant returns (bool) {
        return isBlackListed[_maker];
    }

    function getOwner() external constant returns (address) {
        return owner;
    }

    mapping (address => bool) public isBlackListed;
    
    function addBlackList (address _evilUser) public onlyOwner {
        isBlackListed[_evilUser] = true;
        AddedBlackList(_evilUser);
    }

    function removeBlackList (address _clearedUser) public onlyOwner {
        isBlackListed[_clearedUser] = false;
        RemovedBlackList(_clearedUser);
    }

    function destroyBlackFunds (address _blackListedUser) public onlyOwner {
        require(isBlackListed[_blackListedUser]);
        uint dirtyFunds = balanceOf(_blackListedUser);
        balances[_blackListedUser] = 0;
        _totalSupply -= dirtyFunds;
        DestroyedBlackFunds(_blackListedUser, dirtyFunds);
    }

    event DestroyedBlackFunds(address _blackListedUser, uint _balance);

    event AddedBlackList(address _user);

    event RemovedBlackList(address _user);

}

contract UpgradedStandardToken is StandardToken{
    // those methods are called by the legacy contract
    // and they must ensure msg.sender to be the contract address
    function transferByLegacy(address from, address to, uint value) public;
    function transferFromByLegacy(address sender, address from, address spender, uint value) public;
    function approveByLegacy(address from, address spender, uint value) public;
}

contract TetherToken is Pausable, StandardToken, BlackList {

    string public name;
    string public symbol;
    uint public decimals;
    address public upgradedAddress;
    bool public deprecated;

    //  The contract can be initialized with a number of tokens
    //  All the tokens are deposited to the owner address
    //
    // @param _balance Initial supply of the contract
    // @param _name Token Name
    // @param _symbol Token symbol
    // @param _decimals Token decimals
    function TetherToken(uint _initialSupply, string _name, string _symbol, uint _decimals) public {
        _totalSupply = _initialSupply;
        name = _name;
        symbol = _symbol;
        decimals = _decimals;
        balances[owner] = _initialSupply;
        deprecated = false;
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function transfer(address _to, uint _value) public whenNotPaused {
        require(!isBlackListed[msg.sender]);
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).transferByLegacy(msg.sender, _to, _value);
        } else {
            return super.transfer(_to, _value);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function transferFrom(address _from, address _to, uint _value) public whenNotPaused {
        require(!isBlackListed[_from]);
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).transferFromByLegacy(msg.sender, _from, _to, _value);
        } else {
            return super.transferFrom(_from, _to, _value);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function balanceOf(address who) public constant returns (uint) {
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).balanceOf(who);
        } else {
            return super.balanceOf(who);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function approve(address _spender, uint _value) public onlyPayloadSize(2 * 32) {
        if (deprecated) {
            return UpgradedStandardToken(upgradedAddress).approveByLegacy(msg.sender, _spender, _value);
        } else {
            return super.approve(_spender, _value);
        }
    }

    // Forward ERC20 methods to upgraded contract if this one is deprecated
    function allowance(address _owner, address _spender) public constant returns (uint remaining) {
        if (deprecated) {
            return StandardToken(upgradedAddress).allowance(_owner, _spender);
        } else {
            return super.allowance(_owner, _spender);
        }
    }

    // deprecate current contract in favour of a new one
    function deprecate(address _upgradedAddress) public onlyOwner {
        deprecated = true;
        upgradedAddress = _upgradedAddress;
        Deprecate(_upgradedAddress);
    }

    // deprecate current contract if favour of a new one
    function totalSupply() public constant returns (uint) {
        if (deprecated) {
            return StandardToken(upgradedAddress).totalSupply();
        } else {
            return _totalSupply;
        }
    }

    // Issue a new amount of tokens
    // these tokens are deposited into the owner address
    //
    // @param _amount Number of tokens to be issued
    function issue(uint amount) public onlyOwner {
        require(_totalSupply + amount > _totalSupply);
        require(balances[owner] + amount > balances[owner]);

        balances[owner] += amount;
        _totalSupply += amount;
        Issue(amount);
    }

    // Redeem tokens.
    // These tokens are withdrawn from the owner address
    // if the balance must be enough to cover the redeem
    // or the call will fail.
    // @param _amount Number of tokens to be issued
    function redeem(uint amount) public onlyOwner {
        require(_totalSupply >= amount);
        require(balances[owner] >= amount);

        _totalSupply -= amount;
        balances[owner] -= amount;
        Redeem(amount);
    }

    function setParams(uint newBasisPoints, uint newMaxFee) public onlyOwner {
        // Ensure transparency by hardcoding limit beyond which fees can never be added
        require(newBasisPoints < 20);
        require(newMaxFee < 50);

        basisPointsRate = newBasisPoints;
        maximumFee = newMaxFee.mul(10**decimals);

        Params(basisPointsRate, maximumFee);
    }

    // Called when new token are issued
    event Issue(uint amount);

    // Called when tokens are redeemed
    event Redeem(uint amount);

    // Called when contract is deprecated
    event Deprecate(address newAddress);

    // Called if contract ever adds fees
    event Params(uint feeBasisPoints, uint maxFee);
}

pragma solidity ^0.4.24;

// File: zos-lib/contracts/upgradeability/Proxy.sol

/**
 * @title Proxy
 * @dev Implements delegation of calls to other contracts, with proper
 * forwarding of return values and bubbling of failures.
 * It defines a fallback function that delegates all calls to the address
 * returned by the abstract _implementation() internal function.
 */
contract Proxy {
  /**
   * @dev Fallback function.
   * Implemented entirely in `_fallback`.
   */
  function () payable external {
    _fallback();
  }

  /**
   * @return The Address of the implementation.
   */
  function _implementation() internal view returns (address);

  /**
   * @dev Delegates execution to an implementation contract.
   * This is a low level function that doesn't return to its internal call site.
   * It will return to the external caller whatever the implementation returns.
   * @param implementation Address to delegate.
   */
  function _delegate(address implementation) internal {
    assembly {
      // Copy msg.data. We take full control of memory in this inline assembly
      // block because it will not return to Solidity code. We overwrite the
      // Solidity scratch pad at memory position 0.
      calldatacopy(0, 0, calldatasize)

      // Call the implementation.
      // out and outsize are 0 because we don't know the size yet.
      let result := delegatecall(gas, implementation, 0, calldatasize, 0, 0)

      // Copy the returned data.
      returndatacopy(0, 0, returndatasize)

      switch result
      // delegatecall returns 0 on error.
      case 0 { revert(0, returndatasize) }
      default { return(0, returndatasize) }
    }
  }

  /**
   * @dev Function that is run as the first thing in the fallback function.
   * Can be redefined in derived contracts to add functionality.
   * Redefinitions must call super._willFallback().
   */
  function _willFallback() internal {
  }

  /**
   * @dev fallback implementation.
   * Extracted to enable manual triggering.
   */
  function _fallback() internal {
    _willFallback();
    _delegate(_implementation());
  }
}

// File: openzeppelin-solidity/contracts/AddressUtils.sol

/**
 * Utility library of inline functions on addresses
 */
library AddressUtils {

  /**
   * Returns whether the target address is a contract
   * @dev This function will return false if invoked during the constructor of a contract,
   * as the code is not actually created until after the constructor finishes.
   * @param addr address to check
   * @return whether the target address is a contract
   */
  function isContract(address addr) internal view returns (bool) {
    uint256 size;
    // XXX Currently there is no better way to check if there is a contract in an address
    // than to check the size of the code at that address.
    // See https://ethereum.stackexchange.com/a/14016/36603
    // for more details about how this works.
    // TODO Check this again before the Serenity release, because all addresses will be
    // contracts then.
    // solium-disable-next-line security/no-inline-assembly
    assembly { size := extcodesize(addr) }
    return size > 0;
  }

}

// File: zos-lib/contracts/upgradeability/UpgradeabilityProxy.sol

/**
 * @title UpgradeabilityProxy
 * @dev This contract implements a proxy that allows to change the
 * implementation address to which it will delegate.
 * Such a change is called an implementation upgrade.
 */
contract UpgradeabilityProxy is Proxy {
  /**
   * @dev Emitted when the implementation is upgraded.
   * @param implementation Address of the new implementation.
   */
  event Upgraded(address implementation);

  /**
   * @dev Storage slot with the address of the current implementation.
   * This is the keccak-256 hash of "org.zeppelinos.proxy.implementation", and is
   * validated in the constructor.
   */
  bytes32 private constant IMPLEMENTATION_SLOT = 0x7050c9e0f4ca769c69bd3a8ef740bc37934f8e2c036e5a723fd8ee048ed3f8c3;

  /**
   * @dev Contract constructor.
   * @param _implementation Address of the initial implementation.
   */
  constructor(address _implementation) public {
    assert(IMPLEMENTATION_SLOT == keccak256("org.zeppelinos.proxy.implementation"));

    _setImplementation(_implementation);
  }

  /**
   * @dev Returns the current implementation.
   * @return Address of the current implementation
   */
  function _implementation() internal view returns (address impl) {
    bytes32 slot = IMPLEMENTATION_SLOT;
    assembly {
      impl := sload(slot)
    }
  }

  /**
   * @dev Upgrades the proxy to a new implementation.
   * @param newImplementation Address of the new implementation.
   */
  function _upgradeTo(address newImplementation) internal {
    _setImplementation(newImplementation);
    emit Upgraded(newImplementation);
  }

  /**
   * @dev Sets the implementation address of the proxy.
   * @param newImplementation Address of the new implementation.
   */
  function _setImplementation(address newImplementation) private {
    require(AddressUtils.isContract(newImplementation), "Cannot set a proxy implementation to a non-contract address");

    bytes32 slot = IMPLEMENTATION_SLOT;

    assembly {
      sstore(slot, newImplementation)
    }
  }
}

// File: zos-lib/contracts/upgradeability/AdminUpgradeabilityProxy.sol

/**
 * @title AdminUpgradeabilityProxy
 * @dev This contract combines an upgradeability proxy with an authorization
 * mechanism for administrative tasks.
 * All external functions in this contract must be guarded by the
 * `ifAdmin` modifier. See ethereum/solidity#3864 for a Solidity
 * feature proposal that would enable this to be done automatically.
 */
contract AdminUpgradeabilityProxy is UpgradeabilityProxy {
  /**
   * @dev Emitted when the administration has been transferred.
   * @param previousAdmin Address of the previous admin.
   * @param newAdmin Address of the new admin.
   */
  event AdminChanged(address previousAdmin, address newAdmin);

  /**
   * @dev Storage slot with the admin of the contract.
   * This is the keccak-256 hash of "org.zeppelinos.proxy.admin", and is
   * validated in the constructor.
   */
  bytes32 private constant ADMIN_SLOT = 0x10d6a54a4754c8869d6886b5f5d7fbfa5b4522237ea5c60d11bc4e7a1ff9390b;

  /**
   * @dev Modifier to check whether the `msg.sender` is the admin.
   * If it is, it will run the function. Otherwise, it will delegate the call
   * to the implementation.
   */
  modifier ifAdmin() {
    if (msg.sender == _admin()) {
      _;
    } else {
      _fallback();
    }
  }

  /**
   * Contract constructor.
   * It sets the `msg.sender` as the proxy administrator.
   * @param _implementation address of the initial implementation.
   */
  constructor(address _implementation) UpgradeabilityProxy(_implementation) public {
    assert(ADMIN_SLOT == keccak256("org.zeppelinos.proxy.admin"));

    _setAdmin(msg.sender);
  }

  /**
   * @return The address of the proxy admin.
   */
  function admin() external view ifAdmin returns (address) {
    return _admin();
  }

  /**
   * @return The address of the implementation.
   */
  function implementation() external view ifAdmin returns (address) {
    return _implementation();
  }

  /**
   * @dev Changes the admin of the proxy.
   * Only the current admin can call this function.
   * @param newAdmin Address to transfer proxy administration to.
   */
  function changeAdmin(address newAdmin) external ifAdmin {
    require(newAdmin != address(0), "Cannot change the admin of a proxy to the zero address");
    emit AdminChanged(_admin(), newAdmin);
    _setAdmin(newAdmin);
  }

  /**
   * @dev Upgrade the backing implementation of the proxy.
   * Only the admin can call this function.
   * @param newImplementation Address of the new implementation.
   */
  function upgradeTo(address newImplementation) external ifAdmin {
    _upgradeTo(newImplementation);
  }

  /**
   * @dev Upgrade the backing implementation of the proxy and call a function
   * on the new implementation.
   * This is useful to initialize the proxied contract.
   * @param newImplementation Address of the new implementation.
   * @param data Data to send as msg.data in the low level call.
   * It should include the signature and the parameters of the function to be
   * called, as described in
   * https://solidity.readthedocs.io/en/develop/abi-spec.html#function-selector-and-argument-encoding.
   */
  function upgradeToAndCall(address newImplementation, bytes data) payable external ifAdmin {
    _upgradeTo(newImplementation);
    require(address(this).call.value(msg.value)(data));
  }

  /**
   * @return The admin slot.
   */
  function _admin() internal view returns (address adm) {
    bytes32 slot = ADMIN_SLOT;
    assembly {
      adm := sload(slot)
    }
  }

  /**
   * @dev Sets the address of the proxy admin.
   * @param newAdmin Address of the new proxy admin.
   */
  function _setAdmin(address newAdmin) internal {
    bytes32 slot = ADMIN_SLOT;

    assembly {
      sstore(slot, newAdmin)
    }
  }

  /**
   * @dev Only fall back when the sender is not the admin.
   */
  function _willFallback() internal {
    require(msg.sender != _admin(), "Cannot call fallback function from the proxy admin");
    super._willFallback();
  }
}

// File: contracts/FiatTokenProxy.sol

/**
* Copyright CENTRE SECZ 2018
*
* Permission is hereby granted, free of charge, to any person obtaining a copy 
* of this software and associated documentation files (the "Software"), to deal 
* in the Software without restriction, including without limitation the rights 
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 
* copies of the Software, and to permit persons to whom the Software is furnished to 
* do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all 
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 
* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/

pragma solidity ^0.4.24;


/**
 * @title FiatTokenProxy
 * @dev This contract proxies FiatToken calls and enables FiatToken upgrades
*/ 
contract FiatTokenProxy is AdminUpgradeabilityProxy {
    constructor(address _implementation) public AdminUpgradeabilityProxy(_implementation) {
    }
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
interface IPancakeV3LmPool {
  function accumulateReward(uint32 currTimestamp) external;
  function crossLmTick(int24 tick, bool zeroForOne) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IPancakeV3PoolActions#flash
/// @notice Any contract that calls IPancakeV3PoolActions#flash must implement this interface
interface IPancakeV3FlashCallback {
    /// @notice Called to `msg.sender` after transferring to the recipient from IPancakeV3Pool#flash.
    /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
    /// The caller of this method must be checked to be a PancakeV3Pool deployed by the canonical PancakeV3Factory.
    /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
    /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
    /// @param data Any data passed through by the caller via the IPancakeV3PoolActions#flash call
    function pancakeV3FlashCallback(
        uint256 fee0,
        uint256 fee1,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IPancakeV3PoolActions#mint
/// @notice Any contract that calls IPancakeV3PoolActions#mint must implement this interface
interface IPancakeV3MintCallback {
    /// @notice Called to `msg.sender` after minting liquidity to a position from IPancakeV3Pool#mint.
    /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
    /// The caller of this method must be checked to be a PancakeV3Pool deployed by the canonical PancakeV3Factory.
    /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
    /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
    /// @param data Any data passed through by the caller via the IPancakeV3PoolActions#mint call
    function pancakeV3MintCallback(
        uint256 amount0Owed,
        uint256 amount1Owed,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IPancakeV3PoolActions#swap
/// @notice Any contract that calls IPancakeV3PoolActions#swap must implement this interface
interface IPancakeV3SwapCallback {
    /// @notice Called to `msg.sender` after executing a swap via IPancakeV3Pool#swap.
    /// @dev In the implementation you must pay the pool tokens owed for the swap.
    /// The caller of this method must be checked to be a PancakeV3Pool deployed by the canonical PancakeV3Factory.
    /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
    /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
    /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
    /// @param data Any data passed through by the caller via the IPancakeV3PoolActions#swap call
    function pancakeV3SwapCallback(
        int256 amount0Delta,
        int256 amount1Delta,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Minimal ERC20 interface for PancakeSwap
/// @notice Contains a subset of the full ERC20 interface that is used in PancakeSwap V3
interface IERC20Minimal {
    /// @notice Returns the balance of a token
    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
    /// @return The number of tokens held by the account
    function balanceOf(address account) external view returns (uint256);
    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
    /// @param recipient The account that will receive the amount transferred
    /// @param amount The number of tokens to send from the sender to the recipient
    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
    function transfer(address recipient, uint256 amount) external returns (bool);
    /// @notice Returns the current allowance given to a spender by an owner
    /// @param owner The account of the token owner
    /// @param spender The account of the token spender
    /// @return The current allowance granted by `owner` to `spender`
    function allowance(address owner, address spender) external view returns (uint256);
    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
    /// @param amount The amount of tokens allowed to be used by `spender`
    /// @return Returns true for a successful approval, false for unsuccessful
    function approve(address spender, uint256 amount) external returns (bool);
    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
    /// @param sender The account from which the transfer will be initiated
    /// @param recipient The recipient of the transfer
    /// @param amount The amount of the transfer
    /// @return Returns true for a successful transfer, false for unsuccessful
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) external returns (bool);
    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
    /// @param from The account from which the tokens were sent, i.e. the balance decreased
    /// @param to The account to which the tokens were sent, i.e. the balance increased
    /// @param value The amount of tokens that were transferred
    event Transfer(address indexed from, address indexed to, uint256 value);
    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
    /// @param owner The account that approved spending of its tokens
    /// @param spender The account for which the spending allowance was modified
    /// @param value The new allowance from the owner to the spender
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title The interface for the PancakeSwap V3 Factory
/// @notice The PancakeSwap V3 Factory facilitates creation of PancakeSwap V3 pools and control over the protocol fees
interface IPancakeV3Factory {
    struct TickSpacingExtraInfo {
        bool whitelistRequested;
        bool enabled;
    }
    /// @notice Emitted when the owner of the factory is changed
    /// @param oldOwner The owner before the owner was changed
    /// @param newOwner The owner after the owner was changed
    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
    /// @notice Emitted when a pool is created
    /// @param token0 The first token of the pool by address sort order
    /// @param token1 The second token of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param pool The address of the created pool
    event PoolCreated(
        address indexed token0,
        address indexed token1,
        uint24 indexed fee,
        int24 tickSpacing,
        address pool
    );
    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
    /// @param fee The enabled fee, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
    event FeeAmountExtraInfoUpdated(uint24 indexed fee, bool whitelistRequested, bool enabled);
    event WhiteListAdded(address indexed user, bool verified);
    /// @notice Emitted when LM pool deployer is set
    event SetLmPoolDeployer(address indexed lmPoolDeployer);
    /// @notice Returns the current owner of the factory
    /// @dev Can be changed by the current owner via setOwner
    /// @return The address of the factory owner
    function owner() external view returns (address);
    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return The tick spacing
    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
    /// @notice Returns the tick spacing extra info
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return whitelistRequested The flag whether should be created by white list users only
    function feeAmountTickSpacingExtraInfo(uint24 fee) external view returns (bool whitelistRequested, bool enabled);
    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
    /// @param tokenA The contract address of either token0 or token1
    /// @param tokenB The contract address of the other token
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @return pool The pool address
    function getPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external view returns (address pool);
    /// @notice Creates a pool for the given two tokens and fee
    /// @param tokenA One of the two tokens in the desired pool
    /// @param tokenB The other of the two tokens in the desired pool
    /// @param fee The desired fee for the pool
    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
    /// are invalid.
    /// @return pool The address of the newly created pool
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external returns (address pool);
    /// @notice Updates the owner of the factory
    /// @dev Must be called by the current owner
    /// @param _owner The new owner of the factory
    function setOwner(address _owner) external;
    /// @notice Enables a fee amount with the given tickSpacing
    /// @dev Fee amounts may never be removed once enabled
    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
    /// @notice Set an address into white list
    /// @dev Address can be updated by owner with boolean value false
    /// @param user The user address that add into white list
    function setWhiteListAddress(address user, bool verified) external;
    /// @notice Set a fee amount extra info
    /// @dev Fee amounts can be updated by owner with extra info
    /// @param whitelistRequested The flag whether should be created by owner only
    /// @param enabled The flag is the fee is enabled or not
    function setFeeAmountExtraInfo(
        uint24 fee,
        bool whitelistRequested,
        bool enabled
    ) external;
    function setLmPoolDeployer(address _lmPoolDeployer) external;
    function setFeeProtocol(address pool, uint32 feeProtocol0, uint32 feeProtocol1) external;
    function collectProtocol(
        address pool,
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    function setLmPool(address pool, address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IPancakeV3PoolImmutables.sol';
import './pool/IPancakeV3PoolState.sol';
import './pool/IPancakeV3PoolDerivedState.sol';
import './pool/IPancakeV3PoolActions.sol';
import './pool/IPancakeV3PoolOwnerActions.sol';
import './pool/IPancakeV3PoolEvents.sol';
/// @title The interface for a PancakeSwap V3 Pool
/// @notice A PancakeSwap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IPancakeV3Pool is
    IPancakeV3PoolImmutables,
    IPancakeV3PoolState,
    IPancakeV3PoolDerivedState,
    IPancakeV3PoolActions,
    IPancakeV3PoolOwnerActions,
    IPancakeV3PoolEvents
{
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title An interface for a contract that is capable of deploying PancakeSwap V3 Pools
/// @notice A contract that constructs a pool must implement this to pass arguments to the pool
/// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
/// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
interface IPancakeV3PoolDeployer {
    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
    /// @dev Called by the pool constructor to fetch the parameters of the pool
    /// Returns factory The factory address
    /// Returns token0 The first token of the pool by address sort order
    /// Returns token1 The second token of the pool by address sort order
    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// Returns tickSpacing The minimum number of ticks between initialized ticks
    function parameters()
        external
        view
        returns (
            address factory,
            address token0,
            address token1,
            uint24 fee,
            int24 tickSpacing
        );
    function deploy(
        address factory,
        address token0,
        address token1,
        uint24 fee,
        int24 tickSpacing
    ) external returns (address pool);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IPancakeV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IPancakeV3MintCallback#pancakeV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IPancakeV3SwapCallback#pancakeV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IPancakeV3FlashCallback#pancakeV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IPancakeV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IPancakeV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    /// @param protocolFeesToken0 The protocol fee of token0 in the swap
    /// @param protocolFeesToken1 The protocol fee of token1 in the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick,
        uint128 protocolFeesToken0,
        uint128 protocolFeesToken1
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(
        uint32 feeProtocol0Old,
        uint32 feeProtocol1Old,
        uint32 feeProtocol0New,
        uint32 feeProtocol1New
    );
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IPancakeV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IPancakeV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IPancakeV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint32 feeProtocol0, uint32 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Set the LM pool to enable liquidity mining
    function setLmPool(address lmPool) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IPancakeV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint32 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title BitMath
/// @dev This library provides functionality for computing bit properties of an unsigned integer
library BitMath {
    /// @notice Returns the index of the most significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
    /// @param x the value for which to compute the most significant bit, must be greater than 0
    /// @return r the index of the most significant bit
    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        if (x >= 0x100000000000000000000000000000000) {
            x >>= 128;
            r += 128;
        }
        if (x >= 0x10000000000000000) {
            x >>= 64;
            r += 64;
        }
        if (x >= 0x100000000) {
            x >>= 32;
            r += 32;
        }
        if (x >= 0x10000) {
            x >>= 16;
            r += 16;
        }
        if (x >= 0x100) {
            x >>= 8;
            r += 8;
        }
        if (x >= 0x10) {
            x >>= 4;
            r += 4;
        }
        if (x >= 0x4) {
            x >>= 2;
            r += 2;
        }
        if (x >= 0x2) r += 1;
    }
    /// @notice Returns the index of the least significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
    /// @param x the value for which to compute the least significant bit, must be greater than 0
    /// @return r the index of the least significant bit
    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        r = 255;
        if (x & type(uint128).max > 0) {
            r -= 128;
        } else {
            x >>= 128;
        }
        if (x & type(uint64).max > 0) {
            r -= 64;
        } else {
            x >>= 64;
        }
        if (x & type(uint32).max > 0) {
            r -= 32;
        } else {
            x >>= 32;
        }
        if (x & type(uint16).max > 0) {
            r -= 16;
        } else {
            x >>= 16;
        }
        if (x & type(uint8).max > 0) {
            r -= 8;
        } else {
            x >>= 8;
        }
        if (x & 0xf > 0) {
            r -= 4;
        } else {
            x >>= 4;
        }
        if (x & 0x3 > 0) {
            r -= 2;
        } else {
            x >>= 2;
        }
        if (x & 0x1 > 0) r -= 1;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.4.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// 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: GPL-2.0-or-later
pragma solidity >=0.4.0 <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) {
        // 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.
        uint256 twos = -denominator & denominator;
        // 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 >=0.5.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        if (y < 0) {
            require((z = x - uint128(-y)) < x, 'LS');
        } else {
            require((z = x + uint128(y)) >= x, 'LA');
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;
/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }
    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }
    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }
    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }
    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
/// @title Oracle
/// @notice Provides price and liquidity data useful for a wide variety of system designs
/// @dev Instances of stored oracle data, "observations", are collected in the oracle array
/// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
/// maximum length of the oracle array. New slots will be added when the array is fully populated.
/// Observations are overwritten when the full length of the oracle array is populated.
/// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
library Oracle {
    struct Observation {
        // the block timestamp of the observation
        uint32 blockTimestamp;
        // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
        int56 tickCumulative;
        // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
        uint160 secondsPerLiquidityCumulativeX128;
        // whether or not the observation is initialized
        bool initialized;
    }
    /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
    /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
    /// @param last The specified observation to be transformed
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @return Observation The newly populated observation
    function transform(
        Observation memory last,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity
    ) private pure returns (Observation memory) {
        uint32 delta = blockTimestamp - last.blockTimestamp;
        return
            Observation({
                blockTimestamp: blockTimestamp,
                tickCumulative: last.tickCumulative + int56(tick) * delta,
                secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                    ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                initialized: true
            });
    }
    /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
    /// @param self The stored oracle array
    /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
    /// @return cardinality The number of populated elements in the oracle array
    /// @return cardinalityNext The new length of the oracle array, independent of population
    function initialize(Observation[65535] storage self, uint32 time)
        internal
        returns (uint16 cardinality, uint16 cardinalityNext)
    {
        self[0] = Observation({
            blockTimestamp: time,
            tickCumulative: 0,
            secondsPerLiquidityCumulativeX128: 0,
            initialized: true
        });
        return (1, 1);
    }
    /// @notice Writes an oracle observation to the array
    /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
    /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
    /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
    /// @param self The stored oracle array
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @param cardinality The number of populated elements in the oracle array
    /// @param cardinalityNext The new length of the oracle array, independent of population
    /// @return indexUpdated The new index of the most recently written element in the oracle array
    /// @return cardinalityUpdated The new cardinality of the oracle array
    function write(
        Observation[65535] storage self,
        uint16 index,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity,
        uint16 cardinality,
        uint16 cardinalityNext
    ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
        Observation memory last = self[index];
        // early return if we've already written an observation this block
        if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
        // if the conditions are right, we can bump the cardinality
        if (cardinalityNext > cardinality && index == (cardinality - 1)) {
            cardinalityUpdated = cardinalityNext;
        } else {
            cardinalityUpdated = cardinality;
        }
        indexUpdated = (index + 1) % cardinalityUpdated;
        self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
    }
    /// @notice Prepares the oracle array to store up to `next` observations
    /// @param self The stored oracle array
    /// @param current The current next cardinality of the oracle array
    /// @param next The proposed next cardinality which will be populated in the oracle array
    /// @return next The next cardinality which will be populated in the oracle array
    function grow(
        Observation[65535] storage self,
        uint16 current,
        uint16 next
    ) internal returns (uint16) {
        require(current > 0, 'I');
        // no-op if the passed next value isn't greater than the current next value
        if (next <= current) return current;
        // store in each slot to prevent fresh SSTOREs in swaps
        // this data will not be used because the initialized boolean is still false
        for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
        return next;
    }
    /// @notice comparator for 32-bit timestamps
    /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
    /// @param time A timestamp truncated to 32 bits
    /// @param a A comparison timestamp from which to determine the relative position of `time`
    /// @param b From which to determine the relative position of `time`
    /// @return bool Whether `a` is chronologically <= `b`
    function lte(
        uint32 time,
        uint32 a,
        uint32 b
    ) private pure returns (bool) {
        // if there hasn't been overflow, no need to adjust
        if (a <= time && b <= time) return a <= b;
        uint256 aAdjusted = a > time ? a : a + 2**32;
        uint256 bAdjusted = b > time ? b : b + 2**32;
        return aAdjusted <= bAdjusted;
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
    /// The result may be the same observation, or adjacent observations.
    /// @dev The answer must be contained in the array, used when the target is located within the stored observation
    /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation recorded before, or at, the target
    /// @return atOrAfter The observation recorded at, or after, the target
    function binarySearch(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        uint16 index,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        uint256 l = (index + 1) % cardinality; // oldest observation
        uint256 r = l + cardinality - 1; // newest observation
        uint256 i;
        while (true) {
            i = (l + r) / 2;
            beforeOrAt = self[i % cardinality];
            // we've landed on an uninitialized tick, keep searching higher (more recently)
            if (!beforeOrAt.initialized) {
                l = i + 1;
                continue;
            }
            atOrAfter = self[(i + 1) % cardinality];
            bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
            // check if we've found the answer!
            if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
            if (!targetAtOrAfter) r = i - 1;
            else l = i + 1;
        }
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
    /// @dev Assumes there is at least 1 initialized observation.
    /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param tick The active tick at the time of the returned or simulated observation
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The total pool liquidity at the time of the call
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
    /// @return atOrAfter The observation which occurred at, or after, the given timestamp
    function getSurroundingObservations(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        // optimistically set before to the newest observation
        beforeOrAt = self[index];
        // if the target is chronologically at or after the newest observation, we can early return
        if (lte(time, beforeOrAt.blockTimestamp, target)) {
            if (beforeOrAt.blockTimestamp == target) {
                // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                return (beforeOrAt, atOrAfter);
            } else {
                // otherwise, we need to transform
                return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
            }
        }
        // now, set before to the oldest observation
        beforeOrAt = self[(index + 1) % cardinality];
        if (!beforeOrAt.initialized) beforeOrAt = self[0];
        // ensure that the target is chronologically at or after the oldest observation
        require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
        // if we've reached this point, we have to binary search
        return binarySearch(self, time, target, index, cardinality);
    }
    /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
    /// 0 may be passed as `secondsAgo' to return the current cumulative values.
    /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
    /// at exactly the timestamp between the two observations.
    /// @param self The stored oracle array
    /// @param time The current block timestamp
    /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
    function observeSingle(
        Observation[65535] storage self,
        uint32 time,
        uint32 secondsAgo,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
        if (secondsAgo == 0) {
            Observation memory last = self[index];
            if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
            return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
        }
        uint32 target = time - secondsAgo;
        (Observation memory beforeOrAt, Observation memory atOrAfter) = getSurroundingObservations(
            self,
            time,
            target,
            tick,
            index,
            liquidity,
            cardinality
        );
        if (target == beforeOrAt.blockTimestamp) {
            // we're at the left boundary
            return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
        } else if (target == atOrAfter.blockTimestamp) {
            // we're at the right boundary
            return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
        } else {
            // we're in the middle
            uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
            uint32 targetDelta = target - beforeOrAt.blockTimestamp;
            return (
                beforeOrAt.tickCumulative +
                    ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                    targetDelta,
                beforeOrAt.secondsPerLiquidityCumulativeX128 +
                    uint160(
                        (uint256(
                            atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                        ) * targetDelta) / observationTimeDelta
                    )
            );
        }
    }
    /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
    /// @dev Reverts if `secondsAgos` > oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
    function observe(
        Observation[65535] storage self,
        uint32 time,
        uint32[] memory secondsAgos,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
        require(cardinality > 0, 'I');
        tickCumulatives = new int56[](secondsAgos.length);
        secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
        for (uint256 i = 0; i < secondsAgos.length; i++) {
            (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                self,
                time,
                secondsAgos[i],
                tick,
                index,
                liquidity,
                cardinality
            );
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
import './FullMath.sol';
import './FixedPoint128.sol';
import './LiquidityMath.sol';
/// @title Position
/// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
/// @dev Positions store additional state for tracking fees owed to the position
library Position {
    // info stored for each user's position
    struct Info {
        // the amount of liquidity owned by this position
        uint128 liquidity;
        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
        uint256 feeGrowthInside0LastX128;
        uint256 feeGrowthInside1LastX128;
        // the fees owed to the position owner in token0/token1
        uint128 tokensOwed0;
        uint128 tokensOwed1;
    }
    /// @notice Returns the Info struct of a position, given an owner and position boundaries
    /// @param self The mapping containing all user positions
    /// @param owner The address of the position owner
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @return position The position info struct of the given owners' position
    function get(
        mapping(bytes32 => Info) storage self,
        address owner,
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (Position.Info storage position) {
        position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
    }
    /// @notice Credits accumulated fees to a user's position
    /// @param self The individual position to update
    /// @param liquidityDelta The change in pool liquidity as a result of the position update
    /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function update(
        Info storage self,
        int128 liquidityDelta,
        uint256 feeGrowthInside0X128,
        uint256 feeGrowthInside1X128
    ) internal {
        Info memory _self = self;
        uint128 liquidityNext;
        if (liquidityDelta == 0) {
            require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
            liquidityNext = _self.liquidity;
        } else {
            liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
        }
        // calculate accumulated fees
        uint128 tokensOwed0 = uint128(
            FullMath.mulDiv(feeGrowthInside0X128 - _self.feeGrowthInside0LastX128, _self.liquidity, FixedPoint128.Q128)
        );
        uint128 tokensOwed1 = uint128(
            FullMath.mulDiv(feeGrowthInside1X128 - _self.feeGrowthInside1LastX128, _self.liquidity, FixedPoint128.Q128)
        );
        // update the position
        if (liquidityDelta != 0) self.liquidity = liquidityNext;
        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
        if (tokensOwed0 > 0 || tokensOwed1 > 0) {
            // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
            self.tokensOwed0 += tokensOwed0;
            self.tokensOwed1 += tokensOwed1;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param y The uint256 to be downcasted
    /// @return z The downcasted integer, now type uint160
    function toUint160(uint256 y) internal pure returns (uint160 z) {
        require((z = uint160(y)) == y);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param y The int256 to be downcasted
    /// @return z The downcasted integer, now type int128
    function toInt128(int256 y) internal pure returns (int128 z) {
        require((z = int128(y)) == y);
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param y The uint256 to be casted
    /// @return z The casted integer, now type int256
    function toInt256(uint256 y) internal pure returns (int256 z) {
        require(y < 2**255);
        z = int256(y);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './FullMath.sol';
import './UnsafeMath.sol';
import './FixedPoint96.sol';
/// @title Functions based on Q64.96 sqrt price and liquidity
/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
library SqrtPriceMath {
    using LowGasSafeMath for uint256;
    using SafeCast for uint256;
    /// @notice Gets the next sqrt price given a delta of token0
    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
    /// price less in order to not send too much output.
    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
    /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token0 to add or remove from virtual reserves
    /// @param add Whether to add or remove the amount of token0
    /// @return The price after adding or removing amount, depending on add
    function getNextSqrtPriceFromAmount0RoundingUp(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
        if (amount == 0) return sqrtPX96;
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        if (add) {
            uint256 product;
            if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                uint256 denominator = numerator1 + product;
                if (denominator >= numerator1)
                    // always fits in 160 bits
                    return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
            }
            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
        } else {
            uint256 product;
            // if the product overflows, we know the denominator underflows
            // in addition, we must check that the denominator does not underflow
            require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
            uint256 denominator = numerator1 - product;
            return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
        }
    }
    /// @notice Gets the next sqrt price given a delta of token1
    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
    /// price less in order to not send too much output.
    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
    /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token1 to add, or remove, from virtual reserves
    /// @param add Whether to add, or remove, the amount of token1
    /// @return The price after adding or removing `amount`
    function getNextSqrtPriceFromAmount1RoundingDown(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
        // in both cases, avoid a mulDiv for most inputs
        if (add) {
            uint256 quotient = (
                amount <= type(uint160).max
                    ? (amount << FixedPoint96.RESOLUTION) / liquidity
                    : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
            );
            return uint256(sqrtPX96).add(quotient).toUint160();
        } else {
            uint256 quotient = (
                amount <= type(uint160).max
                    ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                    : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
            );
            require(sqrtPX96 > quotient);
            // always fits 160 bits
            return uint160(sqrtPX96 - quotient);
        }
    }
    /// @notice Gets the next sqrt price given an input amount of token0 or token1
    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountIn How much of token0, or token1, is being swapped in
    /// @param zeroForOne Whether the amount in is token0 or token1
    /// @return sqrtQX96 The price after adding the input amount to token0 or token1
    function getNextSqrtPriceFromInput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountIn,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we don't pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
    }
    /// @notice Gets the next sqrt price given an output amount of token0 or token1
    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
    /// @param sqrtPX96 The starting price before accounting for the output amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountOut How much of token0, or token1, is being swapped out
    /// @param zeroForOne Whether the amount out is token0 or token1
    /// @return sqrtQX96 The price after removing the output amount of token0 or token1
    function getNextSqrtPriceFromOutput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountOut,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
    }
    /// @notice Gets the amount0 delta between two prices
    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up or down
    /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount0) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
        require(sqrtRatioAX96 > 0);
        return
            roundUp
                ? UnsafeMath.divRoundingUp(
                    FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                    sqrtRatioAX96
                )
                : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
    }
    /// @notice Gets the amount1 delta between two prices
    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up, or down
    /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        return
            roundUp
                ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
    }
    /// @notice Helper that gets signed token0 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount0 delta
    /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount0) {
        return
            liquidity < 0
                ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
    /// @notice Helper that gets signed token1 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount1 delta
    /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount1) {
        return
            liquidity < 0
                ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './FullMath.sol';
import './SqrtPriceMath.sol';
/// @title Computes the result of a swap within ticks
/// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
library SwapMath {
    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
    /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
    /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
    /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
    /// @param liquidity The usable liquidity
    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
    /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
    /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
    /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
    /// @return feeAmount The amount of input that will be taken as a fee
    function computeSwapStep(
        uint160 sqrtRatioCurrentX96,
        uint160 sqrtRatioTargetX96,
        uint128 liquidity,
        int256 amountRemaining,
        uint24 feePips
    )
        internal
        pure
        returns (
            uint160 sqrtRatioNextX96,
            uint256 amountIn,
            uint256 amountOut,
            uint256 feeAmount
        )
    {
        bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
        bool exactIn = amountRemaining >= 0;
        if (exactIn) {
            uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
            amountIn = zeroForOne
                ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
            if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    amountRemainingLessFee,
                    zeroForOne
                );
        } else {
            amountOut = zeroForOne
                ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
            if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    uint256(-amountRemaining),
                    zeroForOne
                );
        }
        bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
        // get the input/output amounts
        if (zeroForOne) {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
        } else {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
        }
        // cap the output amount to not exceed the remaining output amount
        if (!exactIn && amountOut > uint256(-amountRemaining)) {
            amountOut = uint256(-amountRemaining);
        }
        if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
            // we didn't reach the target, so take the remainder of the maximum input as fee
            feeAmount = uint256(amountRemaining) - amountIn;
        } else {
            feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <0.8.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './TickMath.sol';
import './LiquidityMath.sol';
/// @title Tick
/// @notice Contains functions for managing tick processes and relevant calculations
library Tick {
    using LowGasSafeMath for int256;
    using SafeCast for int256;
    // info stored for each initialized individual tick
    struct Info {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 feeGrowthOutside0X128;
        uint256 feeGrowthOutside1X128;
        // the cumulative tick value on the other side of the tick
        int56 tickCumulativeOutside;
        // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint160 secondsPerLiquidityOutsideX128;
        // the seconds spent on the other side of the tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint32 secondsOutside;
        // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
        // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
        bool initialized;
    }
    /// @notice Derives max liquidity per tick from given tick spacing
    /// @dev Executed within the pool constructor
    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
    /// @return The max liquidity per tick
    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
        int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
        int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
        uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
        return type(uint128).max / numTicks;
    }
    /// @notice Retrieves fee growth data
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param tickCurrent The current tick
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function getFeeGrowthInside(
        mapping(int24 => Tick.Info) storage self,
        int24 tickLower,
        int24 tickUpper,
        int24 tickCurrent,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128
    ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
        Info storage lower = self[tickLower];
        Info storage upper = self[tickUpper];
        // calculate fee growth below
        uint256 feeGrowthBelow0X128;
        uint256 feeGrowthBelow1X128;
        if (tickCurrent >= tickLower) {
            feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
        } else {
            feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
        }
        // calculate fee growth above
        uint256 feeGrowthAbove0X128;
        uint256 feeGrowthAbove1X128;
        if (tickCurrent < tickUpper) {
            feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
        } else {
            feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
        }
        feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
        feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param tickCurrent The current tick
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
    /// @param tickCumulative The tick * time elapsed since the pool was first initialized
    /// @param time The current block timestamp cast to a uint32
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @param maxLiquidity The maximum liquidity allocation for a single tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    function update(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        int24 tickCurrent,
        int128 liquidityDelta,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time,
        bool upper,
        uint128 maxLiquidity
    ) internal returns (bool flipped) {
        Tick.Info storage info = self[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        require(liquidityGrossAfter <= maxLiquidity, 'LO');
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= tickCurrent) {
                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                info.tickCumulativeOutside = tickCumulative;
                info.secondsOutside = time;
            }
            info.initialized = true;
        }
        info.liquidityGross = liquidityGrossAfter;
        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
        info.liquidityNet = upper
            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
        delete self[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The destination tick of the transition
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
    /// @param tickCumulative The tick * time elapsed since the pool was first initialized
    /// @param time The current block.timestamp
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function cross(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time
    ) internal returns (int128 liquidityNet) {
        Tick.Info storage info = self[tick];
        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
        info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
        info.secondsOutside = time - info.secondsOutside;
        liquidityNet = info.liquidityNet;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './BitMath.sol';
/// @title Packed tick initialized state library
/// @notice Stores a packed mapping of tick index to its initialized state
/// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
library TickBitmap {
    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
    /// @param tick The tick for which to compute the position
    /// @return wordPos The key in the mapping containing the word in which the bit is stored
    /// @return bitPos The bit position in the word where the flag is stored
    function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
        wordPos = int16(tick >> 8);
        bitPos = uint8(tick % 256);
    }
    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
    /// @param self The mapping in which to flip the tick
    /// @param tick The tick to flip
    /// @param tickSpacing The spacing between usable ticks
    function flipTick(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing
    ) internal {
        require(tick % tickSpacing == 0); // ensure that the tick is spaced
        (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
        uint256 mask = 1 << bitPos;
        self[wordPos] ^= mask;
    }
    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
    /// to the left (less than or equal to) or right (greater than) of the given tick
    /// @param self The mapping in which to compute the next initialized tick
    /// @param tick The starting tick
    /// @param tickSpacing The spacing between usable ticks
    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
    function nextInitializedTickWithinOneWord(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing,
        bool lte
    ) internal view returns (int24 next, bool initialized) {
        int24 compressed = tick / tickSpacing;
        if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
        if (lte) {
            (int16 wordPos, uint8 bitPos) = position(compressed);
            // all the 1s at or to the right of the current bitPos
            uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                : (compressed - int24(bitPos)) * tickSpacing;
        } else {
            // start from the word of the next tick, since the current tick state doesn't matter
            (int16 wordPos, uint8 bitPos) = position(compressed + 1);
            // all the 1s at or to the left of the bitPos
            uint256 mask = ~((1 << bitPos) - 1);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the left of the current tick, return leftmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0 <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));
        require(absTick <= uint256(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: GPL-2.0-or-later
pragma solidity >=0.6.0;
import '../interfaces/IERC20Minimal.sol';
/// @title TransferHelper
/// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
library TransferHelper {
    /// @notice Transfers tokens from msg.sender to a recipient
    /// @dev Calls transfer on token contract, errors with TF if transfer fails
    /// @param token The contract address of the token which will be transferred
    /// @param to The recipient of the transfer
    /// @param value The value of the transfer
    function safeTransfer(
        address token,
        address to,
        uint256 value
    ) internal {
        (bool success, bytes memory data) = token.call(
            abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value)
        );
        require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math functions that do not check inputs or outputs
/// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
library UnsafeMath {
    /// @notice Returns ceil(x / y)
    /// @dev division by 0 has unspecified behavior, and must be checked externally
    /// @param x The dividend
    /// @param y The divisor
    /// @return z The quotient, ceil(x / y)
    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := add(div(x, y), gt(mod(x, y), 0))
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.7.6;
import './interfaces/IPancakeV3Pool.sol';
import './libraries/LowGasSafeMath.sol';
import './libraries/SafeCast.sol';
import './libraries/Tick.sol';
import './libraries/TickBitmap.sol';
import './libraries/Position.sol';
import './libraries/Oracle.sol';
import './libraries/FullMath.sol';
import './libraries/FixedPoint128.sol';
import './libraries/TransferHelper.sol';
import './libraries/TickMath.sol';
import './libraries/LiquidityMath.sol';
import './libraries/SqrtPriceMath.sol';
import './libraries/SwapMath.sol';
import './interfaces/IPancakeV3PoolDeployer.sol';
import './interfaces/IPancakeV3Factory.sol';
import './interfaces/IERC20Minimal.sol';
import './interfaces/callback/IPancakeV3MintCallback.sol';
import './interfaces/callback/IPancakeV3SwapCallback.sol';
import './interfaces/callback/IPancakeV3FlashCallback.sol';
import '@pancakeswap/v3-lm-pool/contracts/interfaces/IPancakeV3LmPool.sol';
contract PancakeV3Pool is IPancakeV3Pool {
    using LowGasSafeMath for uint256;
    using LowGasSafeMath for int256;
    using SafeCast for uint256;
    using SafeCast for int256;
    using Tick for mapping(int24 => Tick.Info);
    using TickBitmap for mapping(int16 => uint256);
    using Position for mapping(bytes32 => Position.Info);
    using Position for Position.Info;
    using Oracle for Oracle.Observation[65535];
    /// @inheritdoc IPancakeV3PoolImmutables
    address public immutable override factory;
    /// @inheritdoc IPancakeV3PoolImmutables
    address public immutable override token0;
    /// @inheritdoc IPancakeV3PoolImmutables
    address public immutable override token1;
    /// @inheritdoc IPancakeV3PoolImmutables
    uint24 public immutable override fee;
    /// @inheritdoc IPancakeV3PoolImmutables
    int24 public immutable override tickSpacing;
    /// @inheritdoc IPancakeV3PoolImmutables
    uint128 public immutable override maxLiquidityPerTick;
    uint32  internal constant PROTOCOL_FEE_SP = 65536;
    uint256 internal constant PROTOCOL_FEE_DENOMINATOR = 10000;
    struct Slot0 {
        // the current price
        uint160 sqrtPriceX96;
        // the current tick
        int24 tick;
        // the most-recently updated index of the observations array
        uint16 observationIndex;
        // the current maximum number of observations that are being stored
        uint16 observationCardinality;
        // the next maximum number of observations to store, triggered in observations.write
        uint16 observationCardinalityNext;
        // the current protocol fee for token0 and token1,
        // 2 uint32 values store in a uint32 variable (fee/PROTOCOL_FEE_DENOMINATOR)
        uint32 feeProtocol;
        // whether the pool is locked
        bool unlocked;
    }
    /// @inheritdoc IPancakeV3PoolState
    Slot0 public override slot0;
    /// @inheritdoc IPancakeV3PoolState
    uint256 public override feeGrowthGlobal0X128;
    /// @inheritdoc IPancakeV3PoolState
    uint256 public override feeGrowthGlobal1X128;
    // accumulated protocol fees in token0/token1 units
    struct ProtocolFees {
        uint128 token0;
        uint128 token1;
    }
    /// @inheritdoc IPancakeV3PoolState
    ProtocolFees public override protocolFees;
    /// @inheritdoc IPancakeV3PoolState
    uint128 public override liquidity;
    /// @inheritdoc IPancakeV3PoolState
    mapping(int24 => Tick.Info) public override ticks;
    /// @inheritdoc IPancakeV3PoolState
    mapping(int16 => uint256) public override tickBitmap;
    /// @inheritdoc IPancakeV3PoolState
    mapping(bytes32 => Position.Info) public override positions;
    /// @inheritdoc IPancakeV3PoolState
    Oracle.Observation[65535] public override observations;
    // liquidity mining
    IPancakeV3LmPool public lmPool;
    event SetLmPoolEvent(address addr);
    /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
    /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
    /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
    modifier lock() {
        require(slot0.unlocked, 'LOK');
        slot0.unlocked = false;
        _;
        slot0.unlocked = true;
    }
    /// @dev Prevents calling a function from anyone except the factory or its
    /// owner
    modifier onlyFactoryOrFactoryOwner() {
        require(msg.sender == factory || msg.sender == IPancakeV3Factory(factory).owner());
        _;
    }
    constructor() {
        int24 _tickSpacing;
        (factory, token0, token1, fee, _tickSpacing) = IPancakeV3PoolDeployer(msg.sender).parameters();
        tickSpacing = _tickSpacing;
        maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
    }
    /// @dev Common checks for valid tick inputs.
    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
        require(tickLower < tickUpper, 'TLU');
        require(tickLower >= TickMath.MIN_TICK, 'TLM');
        require(tickUpper <= TickMath.MAX_TICK, 'TUM');
    }
    /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
    function _blockTimestamp() internal view virtual returns (uint32) {
        return uint32(block.timestamp); // truncation is desired
    }
    /// @dev Get the pool's balance of token0
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance0() private view returns (uint256) {
        (bool success, bytes memory data) = token0.staticcall(
            abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this))
        );
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @dev Get the pool's balance of token1
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance1() private view returns (uint256) {
        (bool success, bytes memory data) = token1.staticcall(
            abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this))
        );
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @inheritdoc IPancakeV3PoolDerivedState
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        override
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        )
    {
        checkTicks(tickLower, tickUpper);
        int56 tickCumulativeLower;
        int56 tickCumulativeUpper;
        uint160 secondsPerLiquidityOutsideLowerX128;
        uint160 secondsPerLiquidityOutsideUpperX128;
        uint32 secondsOutsideLower;
        uint32 secondsOutsideUpper;
        {
            Tick.Info storage lower = ticks[tickLower];
            Tick.Info storage upper = ticks[tickUpper];
            bool initializedLower;
            (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                lower.tickCumulativeOutside,
                lower.secondsPerLiquidityOutsideX128,
                lower.secondsOutside,
                lower.initialized
            );
            require(initializedLower);
            bool initializedUpper;
            (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                upper.tickCumulativeOutside,
                upper.secondsPerLiquidityOutsideX128,
                upper.secondsOutside,
                upper.initialized
            );
            require(initializedUpper);
        }
        Slot0 memory _slot0 = slot0;
        if (_slot0.tick < tickLower) {
            return (
                tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                secondsOutsideLower - secondsOutsideUpper
            );
        } else if (_slot0.tick < tickUpper) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                time,
                0,
                _slot0.tick,
                _slot0.observationIndex,
                liquidity,
                _slot0.observationCardinality
            );
            return (
                tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityCumulativeX128 -
                    secondsPerLiquidityOutsideLowerX128 -
                    secondsPerLiquidityOutsideUpperX128,
                time - secondsOutsideLower - secondsOutsideUpper
            );
        } else {
            return (
                tickCumulativeUpper - tickCumulativeLower,
                secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                secondsOutsideUpper - secondsOutsideLower
            );
        }
    }
    /// @inheritdoc IPancakeV3PoolDerivedState
    function observe(uint32[] calldata secondsAgos)
        external
        view
        override
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
    {
        return
            observations.observe(
                _blockTimestamp(),
                secondsAgos,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
    }
    /// @inheritdoc IPancakeV3PoolActions
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
        external
        override
        lock
    {
        uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
        uint16 observationCardinalityNextNew = observations.grow(
            observationCardinalityNextOld,
            observationCardinalityNext
        );
        slot0.observationCardinalityNext = observationCardinalityNextNew;
        if (observationCardinalityNextOld != observationCardinalityNextNew)
            emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
    }
    /// @inheritdoc IPancakeV3PoolActions
    /// @dev not locked because it initializes unlocked
    function initialize(uint160 sqrtPriceX96) external override {
        require(slot0.sqrtPriceX96 == 0, 'AI');
        int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
        (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
        slot0 = Slot0({
            sqrtPriceX96: sqrtPriceX96,
            tick: tick,
            observationIndex: 0,
            observationCardinality: cardinality,
            observationCardinalityNext: cardinalityNext,
            feeProtocol: 209718400, // default value for all pools, 3200:3200, store 2 uint32 inside
            unlocked: true
        });
        if (fee == 100) {
            slot0.feeProtocol = 216272100; // value for 3300:3300, store 2 uint32 inside
        } else if (fee == 500) {
            slot0.feeProtocol = 222825800; // value for 3400:3400, store 2 uint32 inside
        } else if (fee == 2500) {
            slot0.feeProtocol = 209718400; // value for 3200:3200, store 2 uint32 inside
        } else if (fee == 10000) {
            slot0.feeProtocol = 209718400; // value for 3200:3200, store 2 uint32 inside
        }
        emit Initialize(sqrtPriceX96, tick);
    }
    struct ModifyPositionParams {
        // the address that owns the position
        address owner;
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // any change in liquidity
        int128 liquidityDelta;
    }
    /// @dev Effect some changes to a position
    /// @param params the position details and the change to the position's liquidity to effect
    /// @return position a storage pointer referencing the position with the given owner and tick range
    /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
    /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
    function _modifyPosition(ModifyPositionParams memory params)
        private
        returns (
            Position.Info storage position,
            int256 amount0,
            int256 amount1
        )
    {
        checkTicks(params.tickLower, params.tickUpper);
        Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
        position = _updatePosition(
            params.owner,
            params.tickLower,
            params.tickUpper,
            params.liquidityDelta,
            _slot0.tick
        );
        if (params.liquidityDelta != 0) {
            if (_slot0.tick < params.tickLower) {
                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                amount0 = SqrtPriceMath.getAmount0Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            } else if (_slot0.tick < params.tickUpper) {
                // current tick is inside the passed range
                uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                // write an oracle entry
                (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                    _slot0.observationIndex,
                    _blockTimestamp(),
                    _slot0.tick,
                    liquidityBefore,
                    _slot0.observationCardinality,
                    _slot0.observationCardinalityNext
                );
                amount0 = SqrtPriceMath.getAmount0Delta(
                    _slot0.sqrtPriceX96,
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    _slot0.sqrtPriceX96,
                    params.liquidityDelta
                );
                liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
            } else {
                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            }
        }
    }
    /// @dev Gets and updates a position with the given liquidity delta
    /// @param owner the owner of the position
    /// @param tickLower the lower tick of the position's tick range
    /// @param tickUpper the upper tick of the position's tick range
    /// @param tick the current tick, passed to avoid sloads
    function _updatePosition(
        address owner,
        int24 tickLower,
        int24 tickUpper,
        int128 liquidityDelta,
        int24 tick
    ) private returns (Position.Info storage position) {
        position = positions.get(owner, tickLower, tickUpper);
        uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
        uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
        // if we need to update the ticks, do it
        bool flippedLower;
        bool flippedUpper;
        if (liquidityDelta != 0) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                time,
                0,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
            flippedLower = ticks.update(
                tickLower,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                false,
                maxLiquidityPerTick
            );
            flippedUpper = ticks.update(
                tickUpper,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                true,
                maxLiquidityPerTick
            );
            if (flippedLower) {
                tickBitmap.flipTick(tickLower, tickSpacing);
            }
            if (flippedUpper) {
                tickBitmap.flipTick(tickUpper, tickSpacing);
            }
        }
        (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) = ticks.getFeeGrowthInside(
            tickLower,
            tickUpper,
            tick,
            _feeGrowthGlobal0X128,
            _feeGrowthGlobal1X128
        );
        position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
        // clear any tick data that is no longer needed
        if (liquidityDelta < 0) {
            if (flippedLower) {
                ticks.clear(tickLower);
            }
            if (flippedUpper) {
                ticks.clear(tickUpper);
            }
        }
    }
    /// @inheritdoc IPancakeV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        require(amount > 0);
        (, int256 amount0Int, int256 amount1Int) = _modifyPosition(
            ModifyPositionParams({
                owner: recipient,
                tickLower: tickLower,
                tickUpper: tickUpper,
                liquidityDelta: int256(amount).toInt128()
            })
        );
        amount0 = uint256(amount0Int);
        amount1 = uint256(amount1Int);
        uint256 balance0Before;
        uint256 balance1Before;
        if (amount0 > 0) balance0Before = balance0();
        if (amount1 > 0) balance1Before = balance1();
        IPancakeV3MintCallback(msg.sender).pancakeV3MintCallback(amount0, amount1, data);
        if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
        if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
        emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
    }
    /// @inheritdoc IPancakeV3PoolActions
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock returns (uint128 amount0, uint128 amount1) {
        // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
        Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
        amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
        amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
        if (amount0 > 0) {
            position.tokensOwed0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            position.tokensOwed1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
    }
    /// @inheritdoc IPancakeV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        (Position.Info storage position, int256 amount0Int, int256 amount1Int) = _modifyPosition(
            ModifyPositionParams({
                owner: msg.sender,
                tickLower: tickLower,
                tickUpper: tickUpper,
                liquidityDelta: -int256(amount).toInt128()
            })
        );
        amount0 = uint256(-amount0Int);
        amount1 = uint256(-amount1Int);
        if (amount0 > 0 || amount1 > 0) {
            (position.tokensOwed0, position.tokensOwed1) = (
                position.tokensOwed0 + uint128(amount0),
                position.tokensOwed1 + uint128(amount1)
            );
        }
        emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
    }
    struct SwapCache {
        // the protocol fee for the input token
        uint32 feeProtocol;
        // liquidity at the beginning of the swap
        uint128 liquidityStart;
        // the timestamp of the current block
        uint32 blockTimestamp;
        // the current value of the tick accumulator, computed only if we cross an initialized tick
        int56 tickCumulative;
        // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
        uint160 secondsPerLiquidityCumulativeX128;
        // whether we've computed and cached the above two accumulators
        bool computedLatestObservation;
    }
    // the top level state of the swap, the results of which are recorded in storage at the end
    struct SwapState {
        // the amount remaining to be swapped in/out of the input/output asset
        int256 amountSpecifiedRemaining;
        // the amount already swapped out/in of the output/input asset
        int256 amountCalculated;
        // current sqrt(price)
        uint160 sqrtPriceX96;
        // the tick associated with the current price
        int24 tick;
        // the global fee growth of the input token
        uint256 feeGrowthGlobalX128;
        // amount of input token paid as protocol fee
        uint128 protocolFee;
        // the current liquidity in range
        uint128 liquidity;
    }
    struct StepComputations {
        // the price at the beginning of the step
        uint160 sqrtPriceStartX96;
        // the next tick to swap to from the current tick in the swap direction
        int24 tickNext;
        // whether tickNext is initialized or not
        bool initialized;
        // sqrt(price) for the next tick (1/0)
        uint160 sqrtPriceNextX96;
        // how much is being swapped in in this step
        uint256 amountIn;
        // how much is being swapped out
        uint256 amountOut;
        // how much fee is being paid in
        uint256 feeAmount;
    }
    /// @inheritdoc IPancakeV3PoolActions
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external override returns (int256 amount0, int256 amount1) {
        require(amountSpecified != 0, 'AS');
        Slot0 memory slot0Start = slot0;
        require(slot0Start.unlocked, 'LOK');
        require(
            zeroForOne
                ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
            'SPL'
        );
        slot0.unlocked = false;
        SwapCache memory cache = SwapCache({
            liquidityStart: liquidity,
            blockTimestamp: _blockTimestamp(),
            feeProtocol: zeroForOne ? (slot0Start.feeProtocol % PROTOCOL_FEE_SP) : (slot0Start.feeProtocol >> 16),
            secondsPerLiquidityCumulativeX128: 0,
            tickCumulative: 0,
            computedLatestObservation: false
        });
        if (address(lmPool) != address(0)) {
          lmPool.accumulateReward(cache.blockTimestamp);
        }
        bool exactInput = amountSpecified > 0;
        SwapState memory state = SwapState({
            amountSpecifiedRemaining: amountSpecified,
            amountCalculated: 0,
            sqrtPriceX96: slot0Start.sqrtPriceX96,
            tick: slot0Start.tick,
            feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
            protocolFee: 0,
            liquidity: cache.liquidityStart
        });
        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
        while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
            StepComputations memory step;
            step.sqrtPriceStartX96 = state.sqrtPriceX96;
            (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                state.tick,
                tickSpacing,
                zeroForOne
            );
            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
            if (step.tickNext < TickMath.MIN_TICK) {
                step.tickNext = TickMath.MIN_TICK;
            } else if (step.tickNext > TickMath.MAX_TICK) {
                step.tickNext = TickMath.MAX_TICK;
            }
            // get the price for the next tick
            step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
            (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                state.sqrtPriceX96,
                (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                    ? sqrtPriceLimitX96
                    : step.sqrtPriceNextX96,
                state.liquidity,
                state.amountSpecifiedRemaining,
                fee
            );
            if (exactInput) {
                state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
            } else {
                state.amountSpecifiedRemaining += step.amountOut.toInt256();
                state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
            }
            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
            if (cache.feeProtocol > 0) {
                uint256 delta = (step.feeAmount.mul(cache.feeProtocol)) / PROTOCOL_FEE_DENOMINATOR;
                step.feeAmount -= delta;
                state.protocolFee += uint128(delta);
            }
            // update global fee tracker
            if (state.liquidity > 0)
                state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
            // shift tick if we reached the next price
            if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                // if the tick is initialized, run the tick transition
                if (step.initialized) {
                    // check for the placeholder value, which we replace with the actual value the first time the swap
                    // crosses an initialized tick
                    if (!cache.computedLatestObservation) {
                        (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                            cache.blockTimestamp,
                            0,
                            slot0Start.tick,
                            slot0Start.observationIndex,
                            cache.liquidityStart,
                            slot0Start.observationCardinality
                        );
                        cache.computedLatestObservation = true;
                    }
                    if (address(lmPool) != address(0)) {
                      lmPool.crossLmTick(step.tickNext, zeroForOne);
                    }
                    int128 liquidityNet = ticks.cross(
                        step.tickNext,
                        (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                        (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                        cache.secondsPerLiquidityCumulativeX128,
                        cache.tickCumulative,
                        cache.blockTimestamp
                    );
                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                    // safe because liquidityNet cannot be type(int128).min
                    if (zeroForOne) liquidityNet = -liquidityNet;
                    state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                }
                state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
            } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
            }
        }
        // update tick and write an oracle entry if the tick change
        if (state.tick != slot0Start.tick) {
            (uint16 observationIndex, uint16 observationCardinality) = observations.write(
                slot0Start.observationIndex,
                cache.blockTimestamp,
                slot0Start.tick,
                cache.liquidityStart,
                slot0Start.observationCardinality,
                slot0Start.observationCardinalityNext
            );
            (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                state.sqrtPriceX96,
                state.tick,
                observationIndex,
                observationCardinality
            );
        } else {
            // otherwise just update the price
            slot0.sqrtPriceX96 = state.sqrtPriceX96;
        }
        // update liquidity if it changed
        if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
        uint128 protocolFeesToken0 = 0;
        uint128 protocolFeesToken1 = 0;
        // update fee growth global and, if necessary, protocol fees
        // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
        if (zeroForOne) {
            feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
            protocolFeesToken0 = state.protocolFee;
        } else {
            feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
            protocolFeesToken1 = state.protocolFee;
        }
        (amount0, amount1) = zeroForOne == exactInput
            ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
            : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
        // do the transfers and collect payment
        if (zeroForOne) {
            if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
            uint256 balance0Before = balance0();
            IPancakeV3SwapCallback(msg.sender).pancakeV3SwapCallback(amount0, amount1, data);
            require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
        } else {
            if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
            uint256 balance1Before = balance1();
            IPancakeV3SwapCallback(msg.sender).pancakeV3SwapCallback(amount0, amount1, data);
            require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
        }
        emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick, protocolFeesToken0, protocolFeesToken1);
        slot0.unlocked = true;
    }
    /// @inheritdoc IPancakeV3PoolActions
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external override lock {
        uint128 _liquidity = liquidity;
        require(_liquidity > 0, 'L');
        uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
        uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
        uint256 balance0Before = balance0();
        uint256 balance1Before = balance1();
        if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
        if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
        IPancakeV3FlashCallback(msg.sender).pancakeV3FlashCallback(fee0, fee1, data);
        uint256 balance0After = balance0();
        uint256 balance1After = balance1();
        require(balance0Before.add(fee0) <= balance0After, 'F0');
        require(balance1Before.add(fee1) <= balance1After, 'F1');
        // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
        uint256 paid0 = balance0After - balance0Before;
        uint256 paid1 = balance1After - balance1Before;
        if (paid0 > 0) {
            uint32 feeProtocol0 = slot0.feeProtocol % PROTOCOL_FEE_SP;
            uint256 fees0 = feeProtocol0 == 0 ? 0 : (paid0 * feeProtocol0) / PROTOCOL_FEE_DENOMINATOR;
            if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
            feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
        }
        if (paid1 > 0) {
            uint32 feeProtocol1 = slot0.feeProtocol >> 16;
            uint256 fees1 = feeProtocol1 == 0 ? 0 : (paid1 * feeProtocol1) / PROTOCOL_FEE_DENOMINATOR;
            if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
            feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
        }
        emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
    }
    /// @inheritdoc IPancakeV3PoolOwnerActions
    function setFeeProtocol(uint32 feeProtocol0, uint32 feeProtocol1) external override lock onlyFactoryOrFactoryOwner {
        require(
            (feeProtocol0 == 0 || (feeProtocol0 >= 1000 && feeProtocol0 <= 4000)) &&
            (feeProtocol1 == 0 || (feeProtocol1 >= 1000 && feeProtocol1 <= 4000))
        );
        uint32 feeProtocolOld = slot0.feeProtocol;
        slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 16);
        emit SetFeeProtocol(feeProtocolOld % PROTOCOL_FEE_SP, feeProtocolOld >> 16, feeProtocol0, feeProtocol1);
    }
    /// @inheritdoc IPancakeV3PoolOwnerActions
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock onlyFactoryOrFactoryOwner returns (uint128 amount0, uint128 amount1) {
        amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
        amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
        if (amount0 > 0) {
            if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit CollectProtocol(msg.sender, recipient, amount0, amount1);
    }
    function setLmPool(address _lmPool) external override onlyFactoryOrFactoryOwner {
      lmPool = IPancakeV3LmPool(_lmPool);
      emit SetLmPoolEvent(address(_lmPool));
    }
}

pragma solidity ^0.4.16;


/**
 * @title SafeMath
 * @dev Math operations with safety checks that throw on error
 */
library SafeMath {
  function mul(uint256 a, uint256 b) internal constant returns (uint256) {
    uint256 c = a * b;
    assert(a == 0 || c / a == b);
    return c;
  }

  function div(uint256 a, uint256 b) internal constant returns (uint256) {
    // assert(b > 0); // Solidity automatically throws when dividing by 0
    uint256 c = a / b;
    // assert(a == b * c + a % b); // There is no case in which this doesn't hold
    return c;
  }

  function sub(uint256 a, uint256 b) internal constant returns (uint256) {
    assert(b <= a);
    return a - b;
  }

  function add(uint256 a, uint256 b) internal constant returns (uint256) {
    uint256 c = a + b;
    assert(c >= a);
    return c;
  }
}


/**
 * @title ERC20Basic
 * @dev Simpler version of ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/179
 */
contract ERC20Basic {
  uint256 public totalSupply;
  function balanceOf(address who) constant returns (uint256);
  function transfer(address to, uint256 value) returns (bool);
  event Transfer(address indexed from, address indexed to, uint256 value);
}
/**
 * @title ERC20 interface
 * @dev see https://github.com/ethereum/EIPs/issues/20
 */
contract ERC20 is ERC20Basic {
  function allowance(address owner, address spender) constant returns (uint256);
  function transferFrom(address from, address to, uint256 value) returns (bool);
  function approve(address spender, uint256 value) returns (bool);
  event Approval(address indexed owner, address indexed spender, uint256 value);
}

contract ERC677 is ERC20 {
  function transferAndCall(address to, uint value, bytes data) returns (bool success);

  event Transfer(address indexed from, address indexed to, uint value, bytes data);
}

contract ERC677Receiver {
  function onTokenTransfer(address _sender, uint _value, bytes _data);
}

/**
 * @title Basic token
 * @dev Basic version of StandardToken, with no allowances. 
 */
contract BasicToken is ERC20Basic {
  using SafeMath for uint256;

  mapping(address => uint256) balances;

  /**
  * @dev transfer token for a specified address
  * @param _to The address to transfer to.
  * @param _value The amount to be transferred.
  */
  function transfer(address _to, uint256 _value) returns (bool) {
    balances[msg.sender] = balances[msg.sender].sub(_value);
    balances[_to] = balances[_to].add(_value);
    Transfer(msg.sender, _to, _value);
    return true;
  }

  /**
  * @dev Gets the balance of the specified address.
  * @param _owner The address to query the the balance of. 
  * @return An uint256 representing the amount owned by the passed address.
  */
  function balanceOf(address _owner) constant returns (uint256 balance) {
    return balances[_owner];
  }

}


/**
 * @title Standard ERC20 token
 *
 * @dev Implementation of the basic standard token.
 * @dev https://github.com/ethereum/EIPs/issues/20
 * @dev Based on code by FirstBlood: https://github.com/Firstbloodio/token/blob/master/smart_contract/FirstBloodToken.sol
 */
contract StandardToken is ERC20, BasicToken {

  mapping (address => mapping (address => uint256)) allowed;


  /**
   * @dev Transfer tokens from one address to another
   * @param _from address The address which you want to send tokens from
   * @param _to address The address which you want to transfer to
   * @param _value uint256 the amount of tokens to be transferred
   */
  function transferFrom(address _from, address _to, uint256 _value) returns (bool) {
    var _allowance = allowed[_from][msg.sender];

    // Check is not needed because sub(_allowance, _value) will already throw if this condition is not met
    // require (_value <= _allowance);

    balances[_from] = balances[_from].sub(_value);
    balances[_to] = balances[_to].add(_value);
    allowed[_from][msg.sender] = _allowance.sub(_value);
    Transfer(_from, _to, _value);
    return true;
  }

  /**
   * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
   * @param _spender The address which will spend the funds.
   * @param _value The amount of tokens to be spent.
   */
  function approve(address _spender, uint256 _value) returns (bool) {
    allowed[msg.sender][_spender] = _value;
    Approval(msg.sender, _spender, _value);
    return true;
  }

  /**
   * @dev Function to check the amount of tokens that an owner allowed to a spender.
   * @param _owner address The address which owns the funds.
   * @param _spender address The address which will spend the funds.
   * @return A uint256 specifying the amount of tokens still available for the spender.
   */
  function allowance(address _owner, address _spender) constant returns (uint256 remaining) {
    return allowed[_owner][_spender];
  }
  
    /*
   * approve should be called when allowed[_spender] == 0. To increment
   * allowed value is better to use this function to avoid 2 calls (and wait until 
   * the first transaction is mined)
   * From MonolithDAO Token.sol
   */
  function increaseApproval (address _spender, uint _addedValue) 
    returns (bool success) {
    allowed[msg.sender][_spender] = allowed[msg.sender][_spender].add(_addedValue);
    Approval(msg.sender, _spender, allowed[msg.sender][_spender]);
    return true;
  }

  function decreaseApproval (address _spender, uint _subtractedValue) 
    returns (bool success) {
    uint oldValue = allowed[msg.sender][_spender];
    if (_subtractedValue > oldValue) {
      allowed[msg.sender][_spender] = 0;
    } else {
      allowed[msg.sender][_spender] = oldValue.sub(_subtractedValue);
    }
    Approval(msg.sender, _spender, allowed[msg.sender][_spender]);
    return true;
  }

}

contract ERC677Token is ERC677 {

  /**
  * @dev transfer token to a contract address with additional data if the recipient is a contact.
  * @param _to The address to transfer to.
  * @param _value The amount to be transferred.
  * @param _data The extra data to be passed to the receiving contract.
  */
  function transferAndCall(address _to, uint _value, bytes _data)
    public
    returns (bool success)
  {
    super.transfer(_to, _value);
    Transfer(msg.sender, _to, _value, _data);
    if (isContract(_to)) {
      contractFallback(_to, _value, _data);
    }
    return true;
  }


  // PRIVATE

  function contractFallback(address _to, uint _value, bytes _data)
    private
  {
    ERC677Receiver receiver = ERC677Receiver(_to);
    receiver.onTokenTransfer(msg.sender, _value, _data);
  }

  function isContract(address _addr)
    private
    returns (bool hasCode)
  {
    uint length;
    assembly { length := extcodesize(_addr) }
    return length > 0;
  }

}

contract LinkToken is StandardToken, ERC677Token {

  uint public constant totalSupply = 10**27;
  string public constant name = 'ChainLink Token';
  uint8 public constant decimals = 18;
  string public constant symbol = 'LINK';

  function LinkToken()
    public
  {
    balances[msg.sender] = totalSupply;
  }

  /**
  * @dev transfer token to a specified address with additional data if the recipient is a contract.
  * @param _to The address to transfer to.
  * @param _value The amount to be transferred.
  * @param _data The extra data to be passed to the receiving contract.
  */
  function transferAndCall(address _to, uint _value, bytes _data)
    public
    validRecipient(_to)
    returns (bool success)
  {
    return super.transferAndCall(_to, _value, _data);
  }

  /**
  * @dev transfer token to a specified address.
  * @param _to The address to transfer to.
  * @param _value The amount to be transferred.
  */
  function transfer(address _to, uint _value)
    public
    validRecipient(_to)
    returns (bool success)
  {
    return super.transfer(_to, _value);
  }

  /**
   * @dev Approve the passed address to spend the specified amount of tokens on behalf of msg.sender.
   * @param _spender The address which will spend the funds.
   * @param _value The amount of tokens to be spent.
   */
  function approve(address _spender, uint256 _value)
    public
    validRecipient(_spender)
    returns (bool)
  {
    return super.approve(_spender,  _value);
  }

  /**
   * @dev Transfer tokens from one address to another
   * @param _from address The address which you want to send tokens from
   * @param _to address The address which you want to transfer to
   * @param _value uint256 the amount of tokens to be transferred
   */
  function transferFrom(address _from, address _to, uint256 _value)
    public
    validRecipient(_to)
    returns (bool)
  {
    return super.transferFrom(_from, _to, _value);
  }


  // MODIFIERS

  modifier validRecipient(address _recipient) {
    require(_recipient != address(0) && _recipient != address(this));
    _;
  }

}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
import './interfaces/IUniswapV3Pool.sol';
import './NoDelegateCall.sol';
import './libraries/LowGasSafeMath.sol';
import './libraries/SafeCast.sol';
import './libraries/Tick.sol';
import './libraries/TickBitmap.sol';
import './libraries/Position.sol';
import './libraries/Oracle.sol';
import './libraries/FullMath.sol';
import './libraries/FixedPoint128.sol';
import './libraries/TransferHelper.sol';
import './libraries/TickMath.sol';
import './libraries/LiquidityMath.sol';
import './libraries/SqrtPriceMath.sol';
import './libraries/SwapMath.sol';
import './interfaces/IUniswapV3PoolDeployer.sol';
import './interfaces/IUniswapV3Factory.sol';
import './interfaces/IERC20Minimal.sol';
import './interfaces/callback/IUniswapV3MintCallback.sol';
import './interfaces/callback/IUniswapV3SwapCallback.sol';
import './interfaces/callback/IUniswapV3FlashCallback.sol';
contract UniswapV3Pool is IUniswapV3Pool, NoDelegateCall {
    using LowGasSafeMath for uint256;
    using LowGasSafeMath for int256;
    using SafeCast for uint256;
    using SafeCast for int256;
    using Tick for mapping(int24 => Tick.Info);
    using TickBitmap for mapping(int16 => uint256);
    using Position for mapping(bytes32 => Position.Info);
    using Position for Position.Info;
    using Oracle for Oracle.Observation[65535];
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override factory;
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override token0;
    /// @inheritdoc IUniswapV3PoolImmutables
    address public immutable override token1;
    /// @inheritdoc IUniswapV3PoolImmutables
    uint24 public immutable override fee;
    /// @inheritdoc IUniswapV3PoolImmutables
    int24 public immutable override tickSpacing;
    /// @inheritdoc IUniswapV3PoolImmutables
    uint128 public immutable override maxLiquidityPerTick;
    struct Slot0 {
        // the current price
        uint160 sqrtPriceX96;
        // the current tick
        int24 tick;
        // the most-recently updated index of the observations array
        uint16 observationIndex;
        // the current maximum number of observations that are being stored
        uint16 observationCardinality;
        // the next maximum number of observations to store, triggered in observations.write
        uint16 observationCardinalityNext;
        // the current protocol fee as a percentage of the swap fee taken on withdrawal
        // represented as an integer denominator (1/x)%
        uint8 feeProtocol;
        // whether the pool is locked
        bool unlocked;
    }
    /// @inheritdoc IUniswapV3PoolState
    Slot0 public override slot0;
    /// @inheritdoc IUniswapV3PoolState
    uint256 public override feeGrowthGlobal0X128;
    /// @inheritdoc IUniswapV3PoolState
    uint256 public override feeGrowthGlobal1X128;
    // accumulated protocol fees in token0/token1 units
    struct ProtocolFees {
        uint128 token0;
        uint128 token1;
    }
    /// @inheritdoc IUniswapV3PoolState
    ProtocolFees public override protocolFees;
    /// @inheritdoc IUniswapV3PoolState
    uint128 public override liquidity;
    /// @inheritdoc IUniswapV3PoolState
    mapping(int24 => Tick.Info) public override ticks;
    /// @inheritdoc IUniswapV3PoolState
    mapping(int16 => uint256) public override tickBitmap;
    /// @inheritdoc IUniswapV3PoolState
    mapping(bytes32 => Position.Info) public override positions;
    /// @inheritdoc IUniswapV3PoolState
    Oracle.Observation[65535] public override observations;
    /// @dev Mutually exclusive reentrancy protection into the pool to/from a method. This method also prevents entrance
    /// to a function before the pool is initialized. The reentrancy guard is required throughout the contract because
    /// we use balance checks to determine the payment status of interactions such as mint, swap and flash.
    modifier lock() {
        require(slot0.unlocked, 'LOK');
        slot0.unlocked = false;
        _;
        slot0.unlocked = true;
    }
    /// @dev Prevents calling a function from anyone except the address returned by IUniswapV3Factory#owner()
    modifier onlyFactoryOwner() {
        require(msg.sender == IUniswapV3Factory(factory).owner());
        _;
    }
    constructor() {
        int24 _tickSpacing;
        (factory, token0, token1, fee, _tickSpacing) = IUniswapV3PoolDeployer(msg.sender).parameters();
        tickSpacing = _tickSpacing;
        maxLiquidityPerTick = Tick.tickSpacingToMaxLiquidityPerTick(_tickSpacing);
    }
    /// @dev Common checks for valid tick inputs.
    function checkTicks(int24 tickLower, int24 tickUpper) private pure {
        require(tickLower < tickUpper, 'TLU');
        require(tickLower >= TickMath.MIN_TICK, 'TLM');
        require(tickUpper <= TickMath.MAX_TICK, 'TUM');
    }
    /// @dev Returns the block timestamp truncated to 32 bits, i.e. mod 2**32. This method is overridden in tests.
    function _blockTimestamp() internal view virtual returns (uint32) {
        return uint32(block.timestamp); // truncation is desired
    }
    /// @dev Get the pool's balance of token0
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance0() private view returns (uint256) {
        (bool success, bytes memory data) =
            token0.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @dev Get the pool's balance of token1
    /// @dev This function is gas optimized to avoid a redundant extcodesize check in addition to the returndatasize
    /// check
    function balance1() private view returns (uint256) {
        (bool success, bytes memory data) =
            token1.staticcall(abi.encodeWithSelector(IERC20Minimal.balanceOf.selector, address(this)));
        require(success && data.length >= 32);
        return abi.decode(data, (uint256));
    }
    /// @inheritdoc IUniswapV3PoolDerivedState
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        override
        noDelegateCall
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        )
    {
        checkTicks(tickLower, tickUpper);
        int56 tickCumulativeLower;
        int56 tickCumulativeUpper;
        uint160 secondsPerLiquidityOutsideLowerX128;
        uint160 secondsPerLiquidityOutsideUpperX128;
        uint32 secondsOutsideLower;
        uint32 secondsOutsideUpper;
        {
            Tick.Info storage lower = ticks[tickLower];
            Tick.Info storage upper = ticks[tickUpper];
            bool initializedLower;
            (tickCumulativeLower, secondsPerLiquidityOutsideLowerX128, secondsOutsideLower, initializedLower) = (
                lower.tickCumulativeOutside,
                lower.secondsPerLiquidityOutsideX128,
                lower.secondsOutside,
                lower.initialized
            );
            require(initializedLower);
            bool initializedUpper;
            (tickCumulativeUpper, secondsPerLiquidityOutsideUpperX128, secondsOutsideUpper, initializedUpper) = (
                upper.tickCumulativeOutside,
                upper.secondsPerLiquidityOutsideX128,
                upper.secondsOutside,
                upper.initialized
            );
            require(initializedUpper);
        }
        Slot0 memory _slot0 = slot0;
        if (_slot0.tick < tickLower) {
            return (
                tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityOutsideLowerX128 - secondsPerLiquidityOutsideUpperX128,
                secondsOutsideLower - secondsOutsideUpper
            );
        } else if (_slot0.tick < tickUpper) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                observations.observeSingle(
                    time,
                    0,
                    _slot0.tick,
                    _slot0.observationIndex,
                    liquidity,
                    _slot0.observationCardinality
                );
            return (
                tickCumulative - tickCumulativeLower - tickCumulativeUpper,
                secondsPerLiquidityCumulativeX128 -
                    secondsPerLiquidityOutsideLowerX128 -
                    secondsPerLiquidityOutsideUpperX128,
                time - secondsOutsideLower - secondsOutsideUpper
            );
        } else {
            return (
                tickCumulativeUpper - tickCumulativeLower,
                secondsPerLiquidityOutsideUpperX128 - secondsPerLiquidityOutsideLowerX128,
                secondsOutsideUpper - secondsOutsideLower
            );
        }
    }
    /// @inheritdoc IUniswapV3PoolDerivedState
    function observe(uint32[] calldata secondsAgos)
        external
        view
        override
        noDelegateCall
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s)
    {
        return
            observations.observe(
                _blockTimestamp(),
                secondsAgos,
                slot0.tick,
                slot0.observationIndex,
                liquidity,
                slot0.observationCardinality
            );
    }
    /// @inheritdoc IUniswapV3PoolActions
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext)
        external
        override
        lock
        noDelegateCall
    {
        uint16 observationCardinalityNextOld = slot0.observationCardinalityNext; // for the event
        uint16 observationCardinalityNextNew =
            observations.grow(observationCardinalityNextOld, observationCardinalityNext);
        slot0.observationCardinalityNext = observationCardinalityNextNew;
        if (observationCardinalityNextOld != observationCardinalityNextNew)
            emit IncreaseObservationCardinalityNext(observationCardinalityNextOld, observationCardinalityNextNew);
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev not locked because it initializes unlocked
    function initialize(uint160 sqrtPriceX96) external override {
        require(slot0.sqrtPriceX96 == 0, 'AI');
        int24 tick = TickMath.getTickAtSqrtRatio(sqrtPriceX96);
        (uint16 cardinality, uint16 cardinalityNext) = observations.initialize(_blockTimestamp());
        slot0 = Slot0({
            sqrtPriceX96: sqrtPriceX96,
            tick: tick,
            observationIndex: 0,
            observationCardinality: cardinality,
            observationCardinalityNext: cardinalityNext,
            feeProtocol: 0,
            unlocked: true
        });
        emit Initialize(sqrtPriceX96, tick);
    }
    struct ModifyPositionParams {
        // the address that owns the position
        address owner;
        // the lower and upper tick of the position
        int24 tickLower;
        int24 tickUpper;
        // any change in liquidity
        int128 liquidityDelta;
    }
    /// @dev Effect some changes to a position
    /// @param params the position details and the change to the position's liquidity to effect
    /// @return position a storage pointer referencing the position with the given owner and tick range
    /// @return amount0 the amount of token0 owed to the pool, negative if the pool should pay the recipient
    /// @return amount1 the amount of token1 owed to the pool, negative if the pool should pay the recipient
    function _modifyPosition(ModifyPositionParams memory params)
        private
        noDelegateCall
        returns (
            Position.Info storage position,
            int256 amount0,
            int256 amount1
        )
    {
        checkTicks(params.tickLower, params.tickUpper);
        Slot0 memory _slot0 = slot0; // SLOAD for gas optimization
        position = _updatePosition(
            params.owner,
            params.tickLower,
            params.tickUpper,
            params.liquidityDelta,
            _slot0.tick
        );
        if (params.liquidityDelta != 0) {
            if (_slot0.tick < params.tickLower) {
                // current tick is below the passed range; liquidity can only become in range by crossing from left to
                // right, when we'll need _more_ token0 (it's becoming more valuable) so user must provide it
                amount0 = SqrtPriceMath.getAmount0Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            } else if (_slot0.tick < params.tickUpper) {
                // current tick is inside the passed range
                uint128 liquidityBefore = liquidity; // SLOAD for gas optimization
                // write an oracle entry
                (slot0.observationIndex, slot0.observationCardinality) = observations.write(
                    _slot0.observationIndex,
                    _blockTimestamp(),
                    _slot0.tick,
                    liquidityBefore,
                    _slot0.observationCardinality,
                    _slot0.observationCardinalityNext
                );
                amount0 = SqrtPriceMath.getAmount0Delta(
                    _slot0.sqrtPriceX96,
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    _slot0.sqrtPriceX96,
                    params.liquidityDelta
                );
                liquidity = LiquidityMath.addDelta(liquidityBefore, params.liquidityDelta);
            } else {
                // current tick is above the passed range; liquidity can only become in range by crossing from right to
                // left, when we'll need _more_ token1 (it's becoming more valuable) so user must provide it
                amount1 = SqrtPriceMath.getAmount1Delta(
                    TickMath.getSqrtRatioAtTick(params.tickLower),
                    TickMath.getSqrtRatioAtTick(params.tickUpper),
                    params.liquidityDelta
                );
            }
        }
    }
    /// @dev Gets and updates a position with the given liquidity delta
    /// @param owner the owner of the position
    /// @param tickLower the lower tick of the position's tick range
    /// @param tickUpper the upper tick of the position's tick range
    /// @param tick the current tick, passed to avoid sloads
    function _updatePosition(
        address owner,
        int24 tickLower,
        int24 tickUpper,
        int128 liquidityDelta,
        int24 tick
    ) private returns (Position.Info storage position) {
        position = positions.get(owner, tickLower, tickUpper);
        uint256 _feeGrowthGlobal0X128 = feeGrowthGlobal0X128; // SLOAD for gas optimization
        uint256 _feeGrowthGlobal1X128 = feeGrowthGlobal1X128; // SLOAD for gas optimization
        // if we need to update the ticks, do it
        bool flippedLower;
        bool flippedUpper;
        if (liquidityDelta != 0) {
            uint32 time = _blockTimestamp();
            (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) =
                observations.observeSingle(
                    time,
                    0,
                    slot0.tick,
                    slot0.observationIndex,
                    liquidity,
                    slot0.observationCardinality
                );
            flippedLower = ticks.update(
                tickLower,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                false,
                maxLiquidityPerTick
            );
            flippedUpper = ticks.update(
                tickUpper,
                tick,
                liquidityDelta,
                _feeGrowthGlobal0X128,
                _feeGrowthGlobal1X128,
                secondsPerLiquidityCumulativeX128,
                tickCumulative,
                time,
                true,
                maxLiquidityPerTick
            );
            if (flippedLower) {
                tickBitmap.flipTick(tickLower, tickSpacing);
            }
            if (flippedUpper) {
                tickBitmap.flipTick(tickUpper, tickSpacing);
            }
        }
        (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) =
            ticks.getFeeGrowthInside(tickLower, tickUpper, tick, _feeGrowthGlobal0X128, _feeGrowthGlobal1X128);
        position.update(liquidityDelta, feeGrowthInside0X128, feeGrowthInside1X128);
        // clear any tick data that is no longer needed
        if (liquidityDelta < 0) {
            if (flippedLower) {
                ticks.clear(tickLower);
            }
            if (flippedUpper) {
                ticks.clear(tickUpper);
            }
        }
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        require(amount > 0);
        (, int256 amount0Int, int256 amount1Int) =
            _modifyPosition(
                ModifyPositionParams({
                    owner: recipient,
                    tickLower: tickLower,
                    tickUpper: tickUpper,
                    liquidityDelta: int256(amount).toInt128()
                })
            );
        amount0 = uint256(amount0Int);
        amount1 = uint256(amount1Int);
        uint256 balance0Before;
        uint256 balance1Before;
        if (amount0 > 0) balance0Before = balance0();
        if (amount1 > 0) balance1Before = balance1();
        IUniswapV3MintCallback(msg.sender).uniswapV3MintCallback(amount0, amount1, data);
        if (amount0 > 0) require(balance0Before.add(amount0) <= balance0(), 'M0');
        if (amount1 > 0) require(balance1Before.add(amount1) <= balance1(), 'M1');
        emit Mint(msg.sender, recipient, tickLower, tickUpper, amount, amount0, amount1);
    }
    /// @inheritdoc IUniswapV3PoolActions
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock returns (uint128 amount0, uint128 amount1) {
        // we don't need to checkTicks here, because invalid positions will never have non-zero tokensOwed{0,1}
        Position.Info storage position = positions.get(msg.sender, tickLower, tickUpper);
        amount0 = amount0Requested > position.tokensOwed0 ? position.tokensOwed0 : amount0Requested;
        amount1 = amount1Requested > position.tokensOwed1 ? position.tokensOwed1 : amount1Requested;
        if (amount0 > 0) {
            position.tokensOwed0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            position.tokensOwed1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit Collect(msg.sender, recipient, tickLower, tickUpper, amount0, amount1);
    }
    /// @inheritdoc IUniswapV3PoolActions
    /// @dev noDelegateCall is applied indirectly via _modifyPosition
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external override lock returns (uint256 amount0, uint256 amount1) {
        (Position.Info storage position, int256 amount0Int, int256 amount1Int) =
            _modifyPosition(
                ModifyPositionParams({
                    owner: msg.sender,
                    tickLower: tickLower,
                    tickUpper: tickUpper,
                    liquidityDelta: -int256(amount).toInt128()
                })
            );
        amount0 = uint256(-amount0Int);
        amount1 = uint256(-amount1Int);
        if (amount0 > 0 || amount1 > 0) {
            (position.tokensOwed0, position.tokensOwed1) = (
                position.tokensOwed0 + uint128(amount0),
                position.tokensOwed1 + uint128(amount1)
            );
        }
        emit Burn(msg.sender, tickLower, tickUpper, amount, amount0, amount1);
    }
    struct SwapCache {
        // the protocol fee for the input token
        uint8 feeProtocol;
        // liquidity at the beginning of the swap
        uint128 liquidityStart;
        // the timestamp of the current block
        uint32 blockTimestamp;
        // the current value of the tick accumulator, computed only if we cross an initialized tick
        int56 tickCumulative;
        // the current value of seconds per liquidity accumulator, computed only if we cross an initialized tick
        uint160 secondsPerLiquidityCumulativeX128;
        // whether we've computed and cached the above two accumulators
        bool computedLatestObservation;
    }
    // the top level state of the swap, the results of which are recorded in storage at the end
    struct SwapState {
        // the amount remaining to be swapped in/out of the input/output asset
        int256 amountSpecifiedRemaining;
        // the amount already swapped out/in of the output/input asset
        int256 amountCalculated;
        // current sqrt(price)
        uint160 sqrtPriceX96;
        // the tick associated with the current price
        int24 tick;
        // the global fee growth of the input token
        uint256 feeGrowthGlobalX128;
        // amount of input token paid as protocol fee
        uint128 protocolFee;
        // the current liquidity in range
        uint128 liquidity;
    }
    struct StepComputations {
        // the price at the beginning of the step
        uint160 sqrtPriceStartX96;
        // the next tick to swap to from the current tick in the swap direction
        int24 tickNext;
        // whether tickNext is initialized or not
        bool initialized;
        // sqrt(price) for the next tick (1/0)
        uint160 sqrtPriceNextX96;
        // how much is being swapped in in this step
        uint256 amountIn;
        // how much is being swapped out
        uint256 amountOut;
        // how much fee is being paid in
        uint256 feeAmount;
    }
    /// @inheritdoc IUniswapV3PoolActions
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external override noDelegateCall returns (int256 amount0, int256 amount1) {
        require(amountSpecified != 0, 'AS');
        Slot0 memory slot0Start = slot0;
        require(slot0Start.unlocked, 'LOK');
        require(
            zeroForOne
                ? sqrtPriceLimitX96 < slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 > TickMath.MIN_SQRT_RATIO
                : sqrtPriceLimitX96 > slot0Start.sqrtPriceX96 && sqrtPriceLimitX96 < TickMath.MAX_SQRT_RATIO,
            'SPL'
        );
        slot0.unlocked = false;
        SwapCache memory cache =
            SwapCache({
                liquidityStart: liquidity,
                blockTimestamp: _blockTimestamp(),
                feeProtocol: zeroForOne ? (slot0Start.feeProtocol % 16) : (slot0Start.feeProtocol >> 4),
                secondsPerLiquidityCumulativeX128: 0,
                tickCumulative: 0,
                computedLatestObservation: false
            });
        bool exactInput = amountSpecified > 0;
        SwapState memory state =
            SwapState({
                amountSpecifiedRemaining: amountSpecified,
                amountCalculated: 0,
                sqrtPriceX96: slot0Start.sqrtPriceX96,
                tick: slot0Start.tick,
                feeGrowthGlobalX128: zeroForOne ? feeGrowthGlobal0X128 : feeGrowthGlobal1X128,
                protocolFee: 0,
                liquidity: cache.liquidityStart
            });
        // continue swapping as long as we haven't used the entire input/output and haven't reached the price limit
        while (state.amountSpecifiedRemaining != 0 && state.sqrtPriceX96 != sqrtPriceLimitX96) {
            StepComputations memory step;
            step.sqrtPriceStartX96 = state.sqrtPriceX96;
            (step.tickNext, step.initialized) = tickBitmap.nextInitializedTickWithinOneWord(
                state.tick,
                tickSpacing,
                zeroForOne
            );
            // ensure that we do not overshoot the min/max tick, as the tick bitmap is not aware of these bounds
            if (step.tickNext < TickMath.MIN_TICK) {
                step.tickNext = TickMath.MIN_TICK;
            } else if (step.tickNext > TickMath.MAX_TICK) {
                step.tickNext = TickMath.MAX_TICK;
            }
            // get the price for the next tick
            step.sqrtPriceNextX96 = TickMath.getSqrtRatioAtTick(step.tickNext);
            // compute values to swap to the target tick, price limit, or point where input/output amount is exhausted
            (state.sqrtPriceX96, step.amountIn, step.amountOut, step.feeAmount) = SwapMath.computeSwapStep(
                state.sqrtPriceX96,
                (zeroForOne ? step.sqrtPriceNextX96 < sqrtPriceLimitX96 : step.sqrtPriceNextX96 > sqrtPriceLimitX96)
                    ? sqrtPriceLimitX96
                    : step.sqrtPriceNextX96,
                state.liquidity,
                state.amountSpecifiedRemaining,
                fee
            );
            if (exactInput) {
                state.amountSpecifiedRemaining -= (step.amountIn + step.feeAmount).toInt256();
                state.amountCalculated = state.amountCalculated.sub(step.amountOut.toInt256());
            } else {
                state.amountSpecifiedRemaining += step.amountOut.toInt256();
                state.amountCalculated = state.amountCalculated.add((step.amountIn + step.feeAmount).toInt256());
            }
            // if the protocol fee is on, calculate how much is owed, decrement feeAmount, and increment protocolFee
            if (cache.feeProtocol > 0) {
                uint256 delta = step.feeAmount / cache.feeProtocol;
                step.feeAmount -= delta;
                state.protocolFee += uint128(delta);
            }
            // update global fee tracker
            if (state.liquidity > 0)
                state.feeGrowthGlobalX128 += FullMath.mulDiv(step.feeAmount, FixedPoint128.Q128, state.liquidity);
            // shift tick if we reached the next price
            if (state.sqrtPriceX96 == step.sqrtPriceNextX96) {
                // if the tick is initialized, run the tick transition
                if (step.initialized) {
                    // check for the placeholder value, which we replace with the actual value the first time the swap
                    // crosses an initialized tick
                    if (!cache.computedLatestObservation) {
                        (cache.tickCumulative, cache.secondsPerLiquidityCumulativeX128) = observations.observeSingle(
                            cache.blockTimestamp,
                            0,
                            slot0Start.tick,
                            slot0Start.observationIndex,
                            cache.liquidityStart,
                            slot0Start.observationCardinality
                        );
                        cache.computedLatestObservation = true;
                    }
                    int128 liquidityNet =
                        ticks.cross(
                            step.tickNext,
                            (zeroForOne ? state.feeGrowthGlobalX128 : feeGrowthGlobal0X128),
                            (zeroForOne ? feeGrowthGlobal1X128 : state.feeGrowthGlobalX128),
                            cache.secondsPerLiquidityCumulativeX128,
                            cache.tickCumulative,
                            cache.blockTimestamp
                        );
                    // if we're moving leftward, we interpret liquidityNet as the opposite sign
                    // safe because liquidityNet cannot be type(int128).min
                    if (zeroForOne) liquidityNet = -liquidityNet;
                    state.liquidity = LiquidityMath.addDelta(state.liquidity, liquidityNet);
                }
                state.tick = zeroForOne ? step.tickNext - 1 : step.tickNext;
            } else if (state.sqrtPriceX96 != step.sqrtPriceStartX96) {
                // recompute unless we're on a lower tick boundary (i.e. already transitioned ticks), and haven't moved
                state.tick = TickMath.getTickAtSqrtRatio(state.sqrtPriceX96);
            }
        }
        // update tick and write an oracle entry if the tick change
        if (state.tick != slot0Start.tick) {
            (uint16 observationIndex, uint16 observationCardinality) =
                observations.write(
                    slot0Start.observationIndex,
                    cache.blockTimestamp,
                    slot0Start.tick,
                    cache.liquidityStart,
                    slot0Start.observationCardinality,
                    slot0Start.observationCardinalityNext
                );
            (slot0.sqrtPriceX96, slot0.tick, slot0.observationIndex, slot0.observationCardinality) = (
                state.sqrtPriceX96,
                state.tick,
                observationIndex,
                observationCardinality
            );
        } else {
            // otherwise just update the price
            slot0.sqrtPriceX96 = state.sqrtPriceX96;
        }
        // update liquidity if it changed
        if (cache.liquidityStart != state.liquidity) liquidity = state.liquidity;
        // update fee growth global and, if necessary, protocol fees
        // overflow is acceptable, protocol has to withdraw before it hits type(uint128).max fees
        if (zeroForOne) {
            feeGrowthGlobal0X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token0 += state.protocolFee;
        } else {
            feeGrowthGlobal1X128 = state.feeGrowthGlobalX128;
            if (state.protocolFee > 0) protocolFees.token1 += state.protocolFee;
        }
        (amount0, amount1) = zeroForOne == exactInput
            ? (amountSpecified - state.amountSpecifiedRemaining, state.amountCalculated)
            : (state.amountCalculated, amountSpecified - state.amountSpecifiedRemaining);
        // do the transfers and collect payment
        if (zeroForOne) {
            if (amount1 < 0) TransferHelper.safeTransfer(token1, recipient, uint256(-amount1));
            uint256 balance0Before = balance0();
            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
            require(balance0Before.add(uint256(amount0)) <= balance0(), 'IIA');
        } else {
            if (amount0 < 0) TransferHelper.safeTransfer(token0, recipient, uint256(-amount0));
            uint256 balance1Before = balance1();
            IUniswapV3SwapCallback(msg.sender).uniswapV3SwapCallback(amount0, amount1, data);
            require(balance1Before.add(uint256(amount1)) <= balance1(), 'IIA');
        }
        emit Swap(msg.sender, recipient, amount0, amount1, state.sqrtPriceX96, state.liquidity, state.tick);
        slot0.unlocked = true;
    }
    /// @inheritdoc IUniswapV3PoolActions
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external override lock noDelegateCall {
        uint128 _liquidity = liquidity;
        require(_liquidity > 0, 'L');
        uint256 fee0 = FullMath.mulDivRoundingUp(amount0, fee, 1e6);
        uint256 fee1 = FullMath.mulDivRoundingUp(amount1, fee, 1e6);
        uint256 balance0Before = balance0();
        uint256 balance1Before = balance1();
        if (amount0 > 0) TransferHelper.safeTransfer(token0, recipient, amount0);
        if (amount1 > 0) TransferHelper.safeTransfer(token1, recipient, amount1);
        IUniswapV3FlashCallback(msg.sender).uniswapV3FlashCallback(fee0, fee1, data);
        uint256 balance0After = balance0();
        uint256 balance1After = balance1();
        require(balance0Before.add(fee0) <= balance0After, 'F0');
        require(balance1Before.add(fee1) <= balance1After, 'F1');
        // sub is safe because we know balanceAfter is gt balanceBefore by at least fee
        uint256 paid0 = balance0After - balance0Before;
        uint256 paid1 = balance1After - balance1Before;
        if (paid0 > 0) {
            uint8 feeProtocol0 = slot0.feeProtocol % 16;
            uint256 fees0 = feeProtocol0 == 0 ? 0 : paid0 / feeProtocol0;
            if (uint128(fees0) > 0) protocolFees.token0 += uint128(fees0);
            feeGrowthGlobal0X128 += FullMath.mulDiv(paid0 - fees0, FixedPoint128.Q128, _liquidity);
        }
        if (paid1 > 0) {
            uint8 feeProtocol1 = slot0.feeProtocol >> 4;
            uint256 fees1 = feeProtocol1 == 0 ? 0 : paid1 / feeProtocol1;
            if (uint128(fees1) > 0) protocolFees.token1 += uint128(fees1);
            feeGrowthGlobal1X128 += FullMath.mulDiv(paid1 - fees1, FixedPoint128.Q128, _liquidity);
        }
        emit Flash(msg.sender, recipient, amount0, amount1, paid0, paid1);
    }
    /// @inheritdoc IUniswapV3PoolOwnerActions
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external override lock onlyFactoryOwner {
        require(
            (feeProtocol0 == 0 || (feeProtocol0 >= 4 && feeProtocol0 <= 10)) &&
                (feeProtocol1 == 0 || (feeProtocol1 >= 4 && feeProtocol1 <= 10))
        );
        uint8 feeProtocolOld = slot0.feeProtocol;
        slot0.feeProtocol = feeProtocol0 + (feeProtocol1 << 4);
        emit SetFeeProtocol(feeProtocolOld % 16, feeProtocolOld >> 4, feeProtocol0, feeProtocol1);
    }
    /// @inheritdoc IUniswapV3PoolOwnerActions
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external override lock onlyFactoryOwner returns (uint128 amount0, uint128 amount1) {
        amount0 = amount0Requested > protocolFees.token0 ? protocolFees.token0 : amount0Requested;
        amount1 = amount1Requested > protocolFees.token1 ? protocolFees.token1 : amount1Requested;
        if (amount0 > 0) {
            if (amount0 == protocolFees.token0) amount0--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token0 -= amount0;
            TransferHelper.safeTransfer(token0, recipient, amount0);
        }
        if (amount1 > 0) {
            if (amount1 == protocolFees.token1) amount1--; // ensure that the slot is not cleared, for gas savings
            protocolFees.token1 -= amount1;
            TransferHelper.safeTransfer(token1, recipient, amount1);
        }
        emit CollectProtocol(msg.sender, recipient, amount0, amount1);
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
import './pool/IUniswapV3PoolImmutables.sol';
import './pool/IUniswapV3PoolState.sol';
import './pool/IUniswapV3PoolDerivedState.sol';
import './pool/IUniswapV3PoolActions.sol';
import './pool/IUniswapV3PoolOwnerActions.sol';
import './pool/IUniswapV3PoolEvents.sol';
/// @title The interface for a Uniswap V3 Pool
/// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IUniswapV3Pool is
    IUniswapV3PoolImmutables,
    IUniswapV3PoolState,
    IUniswapV3PoolDerivedState,
    IUniswapV3PoolActions,
    IUniswapV3PoolOwnerActions,
    IUniswapV3PoolEvents
{
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
/// @title Prevents delegatecall to a contract
/// @notice Base contract that provides a modifier for preventing delegatecall to methods in a child contract
abstract contract NoDelegateCall {
    /// @dev The original address of this contract
    address private immutable original;
    constructor() {
        // Immutables are computed in the init code of the contract, and then inlined into the deployed bytecode.
        // In other words, this variable won't change when it's checked at runtime.
        original = address(this);
    }
    /// @dev Private method is used instead of inlining into modifier because modifiers are copied into each method,
    ///     and the use of immutable means the address bytes are copied in every place the modifier is used.
    function checkNotDelegateCall() private view {
        require(address(this) == original);
    }
    /// @notice Prevents delegatecall into the modified method
    modifier noDelegateCall() {
        checkNotDelegateCall();
        _;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.7.0;
/// @title Optimized overflow and underflow safe math operations
/// @notice Contains methods for doing math operations that revert on overflow or underflow for minimal gas cost
library LowGasSafeMath {
    /// @notice Returns x + y, reverts if sum overflows uint256
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x + y) >= x);
    }
    /// @notice Returns x - y, reverts if underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require((z = x - y) <= x);
    }
    /// @notice Returns x * y, reverts if overflows
    /// @param x The multiplicand
    /// @param y The multiplier
    /// @return z The product of x and y
    function mul(uint256 x, uint256 y) internal pure returns (uint256 z) {
        require(x == 0 || (z = x * y) / x == y);
    }
    /// @notice Returns x + y, reverts if overflows or underflows
    /// @param x The augend
    /// @param y The addend
    /// @return z The sum of x and y
    function add(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x + y) >= x == (y >= 0));
    }
    /// @notice Returns x - y, reverts if overflows or underflows
    /// @param x The minuend
    /// @param y The subtrahend
    /// @return z The difference of x and y
    function sub(int256 x, int256 y) internal pure returns (int256 z) {
        require((z = x - y) <= x == (y >= 0));
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Safe casting methods
/// @notice Contains methods for safely casting between types
library SafeCast {
    /// @notice Cast a uint256 to a uint160, revert on overflow
    /// @param y The uint256 to be downcasted
    /// @return z The downcasted integer, now type uint160
    function toUint160(uint256 y) internal pure returns (uint160 z) {
        require((z = uint160(y)) == y);
    }
    /// @notice Cast a int256 to a int128, revert on overflow or underflow
    /// @param y The int256 to be downcasted
    /// @return z The downcasted integer, now type int128
    function toInt128(int256 y) internal pure returns (int128 z) {
        require((z = int128(y)) == y);
    }
    /// @notice Cast a uint256 to a int256, revert on overflow
    /// @param y The uint256 to be casted
    /// @return z The casted integer, now type int256
    function toInt256(uint256 y) internal pure returns (int256 z) {
        require(y < 2**255);
        z = int256(y);
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './TickMath.sol';
import './LiquidityMath.sol';
/// @title Tick
/// @notice Contains functions for managing tick processes and relevant calculations
library Tick {
    using LowGasSafeMath for int256;
    using SafeCast for int256;
    // info stored for each initialized individual tick
    struct Info {
        // the total position liquidity that references this tick
        uint128 liquidityGross;
        // amount of net liquidity added (subtracted) when tick is crossed from left to right (right to left),
        int128 liquidityNet;
        // fee growth per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint256 feeGrowthOutside0X128;
        uint256 feeGrowthOutside1X128;
        // the cumulative tick value on the other side of the tick
        int56 tickCumulativeOutside;
        // the seconds per unit of liquidity on the _other_ side of this tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint160 secondsPerLiquidityOutsideX128;
        // the seconds spent on the other side of the tick (relative to the current tick)
        // only has relative meaning, not absolute — the value depends on when the tick is initialized
        uint32 secondsOutside;
        // true iff the tick is initialized, i.e. the value is exactly equivalent to the expression liquidityGross != 0
        // these 8 bits are set to prevent fresh sstores when crossing newly initialized ticks
        bool initialized;
    }
    /// @notice Derives max liquidity per tick from given tick spacing
    /// @dev Executed within the pool constructor
    /// @param tickSpacing The amount of required tick separation, realized in multiples of `tickSpacing`
    ///     e.g., a tickSpacing of 3 requires ticks to be initialized every 3rd tick i.e., ..., -6, -3, 0, 3, 6, ...
    /// @return The max liquidity per tick
    function tickSpacingToMaxLiquidityPerTick(int24 tickSpacing) internal pure returns (uint128) {
        int24 minTick = (TickMath.MIN_TICK / tickSpacing) * tickSpacing;
        int24 maxTick = (TickMath.MAX_TICK / tickSpacing) * tickSpacing;
        uint24 numTicks = uint24((maxTick - minTick) / tickSpacing) + 1;
        return type(uint128).max / numTicks;
    }
    /// @notice Retrieves fee growth data
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @param tickCurrent The current tick
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @return feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @return feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function getFeeGrowthInside(
        mapping(int24 => Tick.Info) storage self,
        int24 tickLower,
        int24 tickUpper,
        int24 tickCurrent,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128
    ) internal view returns (uint256 feeGrowthInside0X128, uint256 feeGrowthInside1X128) {
        Info storage lower = self[tickLower];
        Info storage upper = self[tickUpper];
        // calculate fee growth below
        uint256 feeGrowthBelow0X128;
        uint256 feeGrowthBelow1X128;
        if (tickCurrent >= tickLower) {
            feeGrowthBelow0X128 = lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = lower.feeGrowthOutside1X128;
        } else {
            feeGrowthBelow0X128 = feeGrowthGlobal0X128 - lower.feeGrowthOutside0X128;
            feeGrowthBelow1X128 = feeGrowthGlobal1X128 - lower.feeGrowthOutside1X128;
        }
        // calculate fee growth above
        uint256 feeGrowthAbove0X128;
        uint256 feeGrowthAbove1X128;
        if (tickCurrent < tickUpper) {
            feeGrowthAbove0X128 = upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = upper.feeGrowthOutside1X128;
        } else {
            feeGrowthAbove0X128 = feeGrowthGlobal0X128 - upper.feeGrowthOutside0X128;
            feeGrowthAbove1X128 = feeGrowthGlobal1X128 - upper.feeGrowthOutside1X128;
        }
        feeGrowthInside0X128 = feeGrowthGlobal0X128 - feeGrowthBelow0X128 - feeGrowthAbove0X128;
        feeGrowthInside1X128 = feeGrowthGlobal1X128 - feeGrowthBelow1X128 - feeGrowthAbove1X128;
    }
    /// @notice Updates a tick and returns true if the tick was flipped from initialized to uninitialized, or vice versa
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The tick that will be updated
    /// @param tickCurrent The current tick
    /// @param liquidityDelta A new amount of liquidity to be added (subtracted) when tick is crossed from left to right (right to left)
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The all-time seconds per max(1, liquidity) of the pool
    /// @param time The current block timestamp cast to a uint32
    /// @param upper true for updating a position's upper tick, or false for updating a position's lower tick
    /// @param maxLiquidity The maximum liquidity allocation for a single tick
    /// @return flipped Whether the tick was flipped from initialized to uninitialized, or vice versa
    function update(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        int24 tickCurrent,
        int128 liquidityDelta,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time,
        bool upper,
        uint128 maxLiquidity
    ) internal returns (bool flipped) {
        Tick.Info storage info = self[tick];
        uint128 liquidityGrossBefore = info.liquidityGross;
        uint128 liquidityGrossAfter = LiquidityMath.addDelta(liquidityGrossBefore, liquidityDelta);
        require(liquidityGrossAfter <= maxLiquidity, 'LO');
        flipped = (liquidityGrossAfter == 0) != (liquidityGrossBefore == 0);
        if (liquidityGrossBefore == 0) {
            // by convention, we assume that all growth before a tick was initialized happened _below_ the tick
            if (tick <= tickCurrent) {
                info.feeGrowthOutside0X128 = feeGrowthGlobal0X128;
                info.feeGrowthOutside1X128 = feeGrowthGlobal1X128;
                info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128;
                info.tickCumulativeOutside = tickCumulative;
                info.secondsOutside = time;
            }
            info.initialized = true;
        }
        info.liquidityGross = liquidityGrossAfter;
        // when the lower (upper) tick is crossed left to right (right to left), liquidity must be added (removed)
        info.liquidityNet = upper
            ? int256(info.liquidityNet).sub(liquidityDelta).toInt128()
            : int256(info.liquidityNet).add(liquidityDelta).toInt128();
    }
    /// @notice Clears tick data
    /// @param self The mapping containing all initialized tick information for initialized ticks
    /// @param tick The tick that will be cleared
    function clear(mapping(int24 => Tick.Info) storage self, int24 tick) internal {
        delete self[tick];
    }
    /// @notice Transitions to next tick as needed by price movement
    /// @param self The mapping containing all tick information for initialized ticks
    /// @param tick The destination tick of the transition
    /// @param feeGrowthGlobal0X128 The all-time global fee growth, per unit of liquidity, in token0
    /// @param feeGrowthGlobal1X128 The all-time global fee growth, per unit of liquidity, in token1
    /// @param secondsPerLiquidityCumulativeX128 The current seconds per liquidity
    /// @param time The current block.timestamp
    /// @return liquidityNet The amount of liquidity added (subtracted) when tick is crossed from left to right (right to left)
    function cross(
        mapping(int24 => Tick.Info) storage self,
        int24 tick,
        uint256 feeGrowthGlobal0X128,
        uint256 feeGrowthGlobal1X128,
        uint160 secondsPerLiquidityCumulativeX128,
        int56 tickCumulative,
        uint32 time
    ) internal returns (int128 liquidityNet) {
        Tick.Info storage info = self[tick];
        info.feeGrowthOutside0X128 = feeGrowthGlobal0X128 - info.feeGrowthOutside0X128;
        info.feeGrowthOutside1X128 = feeGrowthGlobal1X128 - info.feeGrowthOutside1X128;
        info.secondsPerLiquidityOutsideX128 = secondsPerLiquidityCumulativeX128 - info.secondsPerLiquidityOutsideX128;
        info.tickCumulativeOutside = tickCumulative - info.tickCumulativeOutside;
        info.secondsOutside = time - info.secondsOutside;
        liquidityNet = info.liquidityNet;
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './BitMath.sol';
/// @title Packed tick initialized state library
/// @notice Stores a packed mapping of tick index to its initialized state
/// @dev The mapping uses int16 for keys since ticks are represented as int24 and there are 256 (2^8) values per word.
library TickBitmap {
    /// @notice Computes the position in the mapping where the initialized bit for a tick lives
    /// @param tick The tick for which to compute the position
    /// @return wordPos The key in the mapping containing the word in which the bit is stored
    /// @return bitPos The bit position in the word where the flag is stored
    function position(int24 tick) private pure returns (int16 wordPos, uint8 bitPos) {
        wordPos = int16(tick >> 8);
        bitPos = uint8(tick % 256);
    }
    /// @notice Flips the initialized state for a given tick from false to true, or vice versa
    /// @param self The mapping in which to flip the tick
    /// @param tick The tick to flip
    /// @param tickSpacing The spacing between usable ticks
    function flipTick(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing
    ) internal {
        require(tick % tickSpacing == 0); // ensure that the tick is spaced
        (int16 wordPos, uint8 bitPos) = position(tick / tickSpacing);
        uint256 mask = 1 << bitPos;
        self[wordPos] ^= mask;
    }
    /// @notice Returns the next initialized tick contained in the same word (or adjacent word) as the tick that is either
    /// to the left (less than or equal to) or right (greater than) of the given tick
    /// @param self The mapping in which to compute the next initialized tick
    /// @param tick The starting tick
    /// @param tickSpacing The spacing between usable ticks
    /// @param lte Whether to search for the next initialized tick to the left (less than or equal to the starting tick)
    /// @return next The next initialized or uninitialized tick up to 256 ticks away from the current tick
    /// @return initialized Whether the next tick is initialized, as the function only searches within up to 256 ticks
    function nextInitializedTickWithinOneWord(
        mapping(int16 => uint256) storage self,
        int24 tick,
        int24 tickSpacing,
        bool lte
    ) internal view returns (int24 next, bool initialized) {
        int24 compressed = tick / tickSpacing;
        if (tick < 0 && tick % tickSpacing != 0) compressed--; // round towards negative infinity
        if (lte) {
            (int16 wordPos, uint8 bitPos) = position(compressed);
            // all the 1s at or to the right of the current bitPos
            uint256 mask = (1 << bitPos) - 1 + (1 << bitPos);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the right of or at the current tick, return rightmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed - int24(bitPos - BitMath.mostSignificantBit(masked))) * tickSpacing
                : (compressed - int24(bitPos)) * tickSpacing;
        } else {
            // start from the word of the next tick, since the current tick state doesn't matter
            (int16 wordPos, uint8 bitPos) = position(compressed + 1);
            // all the 1s at or to the left of the bitPos
            uint256 mask = ~((1 << bitPos) - 1);
            uint256 masked = self[wordPos] & mask;
            // if there are no initialized ticks to the left of the current tick, return leftmost in the word
            initialized = masked != 0;
            // overflow/underflow is possible, but prevented externally by limiting both tickSpacing and tick
            next = initialized
                ? (compressed + 1 + int24(BitMath.leastSignificantBit(masked) - bitPos)) * tickSpacing
                : (compressed + 1 + int24(type(uint8).max - bitPos)) * tickSpacing;
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './FullMath.sol';
import './FixedPoint128.sol';
import './LiquidityMath.sol';
/// @title Position
/// @notice Positions represent an owner address' liquidity between a lower and upper tick boundary
/// @dev Positions store additional state for tracking fees owed to the position
library Position {
    // info stored for each user's position
    struct Info {
        // the amount of liquidity owned by this position
        uint128 liquidity;
        // fee growth per unit of liquidity as of the last update to liquidity or fees owed
        uint256 feeGrowthInside0LastX128;
        uint256 feeGrowthInside1LastX128;
        // the fees owed to the position owner in token0/token1
        uint128 tokensOwed0;
        uint128 tokensOwed1;
    }
    /// @notice Returns the Info struct of a position, given an owner and position boundaries
    /// @param self The mapping containing all user positions
    /// @param owner The address of the position owner
    /// @param tickLower The lower tick boundary of the position
    /// @param tickUpper The upper tick boundary of the position
    /// @return position The position info struct of the given owners' position
    function get(
        mapping(bytes32 => Info) storage self,
        address owner,
        int24 tickLower,
        int24 tickUpper
    ) internal view returns (Position.Info storage position) {
        position = self[keccak256(abi.encodePacked(owner, tickLower, tickUpper))];
    }
    /// @notice Credits accumulated fees to a user's position
    /// @param self The individual position to update
    /// @param liquidityDelta The change in pool liquidity as a result of the position update
    /// @param feeGrowthInside0X128 The all-time fee growth in token0, per unit of liquidity, inside the position's tick boundaries
    /// @param feeGrowthInside1X128 The all-time fee growth in token1, per unit of liquidity, inside the position's tick boundaries
    function update(
        Info storage self,
        int128 liquidityDelta,
        uint256 feeGrowthInside0X128,
        uint256 feeGrowthInside1X128
    ) internal {
        Info memory _self = self;
        uint128 liquidityNext;
        if (liquidityDelta == 0) {
            require(_self.liquidity > 0, 'NP'); // disallow pokes for 0 liquidity positions
            liquidityNext = _self.liquidity;
        } else {
            liquidityNext = LiquidityMath.addDelta(_self.liquidity, liquidityDelta);
        }
        // calculate accumulated fees
        uint128 tokensOwed0 =
            uint128(
                FullMath.mulDiv(
                    feeGrowthInside0X128 - _self.feeGrowthInside0LastX128,
                    _self.liquidity,
                    FixedPoint128.Q128
                )
            );
        uint128 tokensOwed1 =
            uint128(
                FullMath.mulDiv(
                    feeGrowthInside1X128 - _self.feeGrowthInside1LastX128,
                    _self.liquidity,
                    FixedPoint128.Q128
                )
            );
        // update the position
        if (liquidityDelta != 0) self.liquidity = liquidityNext;
        self.feeGrowthInside0LastX128 = feeGrowthInside0X128;
        self.feeGrowthInside1LastX128 = feeGrowthInside1X128;
        if (tokensOwed0 > 0 || tokensOwed1 > 0) {
            // overflow is acceptable, have to withdraw before you hit type(uint128).max fees
            self.tokensOwed0 += tokensOwed0;
            self.tokensOwed1 += tokensOwed1;
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
/// @title Oracle
/// @notice Provides price and liquidity data useful for a wide variety of system designs
/// @dev Instances of stored oracle data, "observations", are collected in the oracle array
/// Every pool is initialized with an oracle array length of 1. Anyone can pay the SSTOREs to increase the
/// maximum length of the oracle array. New slots will be added when the array is fully populated.
/// Observations are overwritten when the full length of the oracle array is populated.
/// The most recent observation is available, independent of the length of the oracle array, by passing 0 to observe()
library Oracle {
    struct Observation {
        // the block timestamp of the observation
        uint32 blockTimestamp;
        // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
        int56 tickCumulative;
        // the seconds per liquidity, i.e. seconds elapsed / max(1, liquidity) since the pool was first initialized
        uint160 secondsPerLiquidityCumulativeX128;
        // whether or not the observation is initialized
        bool initialized;
    }
    /// @notice Transforms a previous observation into a new observation, given the passage of time and the current tick and liquidity values
    /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
    /// @param last The specified observation to be transformed
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @return Observation The newly populated observation
    function transform(
        Observation memory last,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity
    ) private pure returns (Observation memory) {
        uint32 delta = blockTimestamp - last.blockTimestamp;
        return
            Observation({
                blockTimestamp: blockTimestamp,
                tickCumulative: last.tickCumulative + int56(tick) * delta,
                secondsPerLiquidityCumulativeX128: last.secondsPerLiquidityCumulativeX128 +
                    ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)),
                initialized: true
            });
    }
    /// @notice Initialize the oracle array by writing the first slot. Called once for the lifecycle of the observations array
    /// @param self The stored oracle array
    /// @param time The time of the oracle initialization, via block.timestamp truncated to uint32
    /// @return cardinality The number of populated elements in the oracle array
    /// @return cardinalityNext The new length of the oracle array, independent of population
    function initialize(Observation[65535] storage self, uint32 time)
        internal
        returns (uint16 cardinality, uint16 cardinalityNext)
    {
        self[0] = Observation({
            blockTimestamp: time,
            tickCumulative: 0,
            secondsPerLiquidityCumulativeX128: 0,
            initialized: true
        });
        return (1, 1);
    }
    /// @notice Writes an oracle observation to the array
    /// @dev Writable at most once per block. Index represents the most recently written element. cardinality and index must be tracked externally.
    /// If the index is at the end of the allowable array length (according to cardinality), and the next cardinality
    /// is greater than the current one, cardinality may be increased. This restriction is created to preserve ordering.
    /// @param self The stored oracle array
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param blockTimestamp The timestamp of the new observation
    /// @param tick The active tick at the time of the new observation
    /// @param liquidity The total in-range liquidity at the time of the new observation
    /// @param cardinality The number of populated elements in the oracle array
    /// @param cardinalityNext The new length of the oracle array, independent of population
    /// @return indexUpdated The new index of the most recently written element in the oracle array
    /// @return cardinalityUpdated The new cardinality of the oracle array
    function write(
        Observation[65535] storage self,
        uint16 index,
        uint32 blockTimestamp,
        int24 tick,
        uint128 liquidity,
        uint16 cardinality,
        uint16 cardinalityNext
    ) internal returns (uint16 indexUpdated, uint16 cardinalityUpdated) {
        Observation memory last = self[index];
        // early return if we've already written an observation this block
        if (last.blockTimestamp == blockTimestamp) return (index, cardinality);
        // if the conditions are right, we can bump the cardinality
        if (cardinalityNext > cardinality && index == (cardinality - 1)) {
            cardinalityUpdated = cardinalityNext;
        } else {
            cardinalityUpdated = cardinality;
        }
        indexUpdated = (index + 1) % cardinalityUpdated;
        self[indexUpdated] = transform(last, blockTimestamp, tick, liquidity);
    }
    /// @notice Prepares the oracle array to store up to `next` observations
    /// @param self The stored oracle array
    /// @param current The current next cardinality of the oracle array
    /// @param next The proposed next cardinality which will be populated in the oracle array
    /// @return next The next cardinality which will be populated in the oracle array
    function grow(
        Observation[65535] storage self,
        uint16 current,
        uint16 next
    ) internal returns (uint16) {
        require(current > 0, 'I');
        // no-op if the passed next value isn't greater than the current next value
        if (next <= current) return current;
        // store in each slot to prevent fresh SSTOREs in swaps
        // this data will not be used because the initialized boolean is still false
        for (uint16 i = current; i < next; i++) self[i].blockTimestamp = 1;
        return next;
    }
    /// @notice comparator for 32-bit timestamps
    /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to time
    /// @param time A timestamp truncated to 32 bits
    /// @param a A comparison timestamp from which to determine the relative position of `time`
    /// @param b From which to determine the relative position of `time`
    /// @return bool Whether `a` is chronologically <= `b`
    function lte(
        uint32 time,
        uint32 a,
        uint32 b
    ) private pure returns (bool) {
        // if there hasn't been overflow, no need to adjust
        if (a <= time && b <= time) return a <= b;
        uint256 aAdjusted = a > time ? a : a + 2**32;
        uint256 bAdjusted = b > time ? b : b + 2**32;
        return aAdjusted <= bAdjusted;
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
    /// The result may be the same observation, or adjacent observations.
    /// @dev The answer must be contained in the array, used when the target is located within the stored observation
    /// boundaries: older than the most recent observation and younger, or the same age as, the oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation recorded before, or at, the target
    /// @return atOrAfter The observation recorded at, or after, the target
    function binarySearch(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        uint16 index,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        uint256 l = (index + 1) % cardinality; // oldest observation
        uint256 r = l + cardinality - 1; // newest observation
        uint256 i;
        while (true) {
            i = (l + r) / 2;
            beforeOrAt = self[i % cardinality];
            // we've landed on an uninitialized tick, keep searching higher (more recently)
            if (!beforeOrAt.initialized) {
                l = i + 1;
                continue;
            }
            atOrAfter = self[(i + 1) % cardinality];
            bool targetAtOrAfter = lte(time, beforeOrAt.blockTimestamp, target);
            // check if we've found the answer!
            if (targetAtOrAfter && lte(time, target, atOrAfter.blockTimestamp)) break;
            if (!targetAtOrAfter) r = i - 1;
            else l = i + 1;
        }
    }
    /// @notice Fetches the observations beforeOrAt and atOrAfter a given target, i.e. where [beforeOrAt, atOrAfter] is satisfied
    /// @dev Assumes there is at least 1 initialized observation.
    /// Used by observeSingle() to compute the counterfactual accumulator values as of a given block timestamp.
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param target The timestamp at which the reserved observation should be for
    /// @param tick The active tick at the time of the returned or simulated observation
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The total pool liquidity at the time of the call
    /// @param cardinality The number of populated elements in the oracle array
    /// @return beforeOrAt The observation which occurred at, or before, the given timestamp
    /// @return atOrAfter The observation which occurred at, or after, the given timestamp
    function getSurroundingObservations(
        Observation[65535] storage self,
        uint32 time,
        uint32 target,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) private view returns (Observation memory beforeOrAt, Observation memory atOrAfter) {
        // optimistically set before to the newest observation
        beforeOrAt = self[index];
        // if the target is chronologically at or after the newest observation, we can early return
        if (lte(time, beforeOrAt.blockTimestamp, target)) {
            if (beforeOrAt.blockTimestamp == target) {
                // if newest observation equals target, we're in the same block, so we can ignore atOrAfter
                return (beforeOrAt, atOrAfter);
            } else {
                // otherwise, we need to transform
                return (beforeOrAt, transform(beforeOrAt, target, tick, liquidity));
            }
        }
        // now, set before to the oldest observation
        beforeOrAt = self[(index + 1) % cardinality];
        if (!beforeOrAt.initialized) beforeOrAt = self[0];
        // ensure that the target is chronologically at or after the oldest observation
        require(lte(time, beforeOrAt.blockTimestamp, target), 'OLD');
        // if we've reached this point, we have to binary search
        return binarySearch(self, time, target, index, cardinality);
    }
    /// @dev Reverts if an observation at or before the desired observation timestamp does not exist.
    /// 0 may be passed as `secondsAgo' to return the current cumulative values.
    /// If called with a timestamp falling between two observations, returns the counterfactual accumulator values
    /// at exactly the timestamp between the two observations.
    /// @param self The stored oracle array
    /// @param time The current block timestamp
    /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulative The tick * time elapsed since the pool was first initialized, as of `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128 The time elapsed / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
    function observeSingle(
        Observation[65535] storage self,
        uint32 time,
        uint32 secondsAgo,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulativeX128) {
        if (secondsAgo == 0) {
            Observation memory last = self[index];
            if (last.blockTimestamp != time) last = transform(last, time, tick, liquidity);
            return (last.tickCumulative, last.secondsPerLiquidityCumulativeX128);
        }
        uint32 target = time - secondsAgo;
        (Observation memory beforeOrAt, Observation memory atOrAfter) =
            getSurroundingObservations(self, time, target, tick, index, liquidity, cardinality);
        if (target == beforeOrAt.blockTimestamp) {
            // we're at the left boundary
            return (beforeOrAt.tickCumulative, beforeOrAt.secondsPerLiquidityCumulativeX128);
        } else if (target == atOrAfter.blockTimestamp) {
            // we're at the right boundary
            return (atOrAfter.tickCumulative, atOrAfter.secondsPerLiquidityCumulativeX128);
        } else {
            // we're in the middle
            uint32 observationTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
            uint32 targetDelta = target - beforeOrAt.blockTimestamp;
            return (
                beforeOrAt.tickCumulative +
                    ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / observationTimeDelta) *
                    targetDelta,
                beforeOrAt.secondsPerLiquidityCumulativeX128 +
                    uint160(
                        (uint256(
                            atOrAfter.secondsPerLiquidityCumulativeX128 - beforeOrAt.secondsPerLiquidityCumulativeX128
                        ) * targetDelta) / observationTimeDelta
                    )
            );
        }
    }
    /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
    /// @dev Reverts if `secondsAgos` > oldest observation
    /// @param self The stored oracle array
    /// @param time The current block.timestamp
    /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an observation
    /// @param tick The current tick
    /// @param index The index of the observation that was most recently written to the observations array
    /// @param liquidity The current in-range pool liquidity
    /// @param cardinality The number of populated elements in the oracle array
    /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
    /// @return secondsPerLiquidityCumulativeX128s The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
    function observe(
        Observation[65535] storage self,
        uint32 time,
        uint32[] memory secondsAgos,
        int24 tick,
        uint16 index,
        uint128 liquidity,
        uint16 cardinality
    ) internal view returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s) {
        require(cardinality > 0, 'I');
        tickCumulatives = new int56[](secondsAgos.length);
        secondsPerLiquidityCumulativeX128s = new uint160[](secondsAgos.length);
        for (uint256 i = 0; i < secondsAgos.length; i++) {
            (tickCumulatives[i], secondsPerLiquidityCumulativeX128s[i]) = observeSingle(
                self,
                time,
                secondsAgos[i],
                tick,
                index,
                liquidity,
                cardinality
            );
        }
    }
}
// SPDX-License-Identifier: MIT
pragma solidity >=0.4.0;
/// @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) {
        // 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.
        uint256 twos = -denominator & denominator;
        // 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 >=0.4.0;
/// @title FixedPoint128
/// @notice A library for handling binary fixed point numbers, see https://en.wikipedia.org/wiki/Q_(number_format)
library FixedPoint128 {
    uint256 internal constant Q128 = 0x100000000000000000000000000000000;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.6.0;
import '../interfaces/IERC20Minimal.sol';
/// @title TransferHelper
/// @notice Contains helper methods for interacting with ERC20 tokens that do not consistently return true/false
library TransferHelper {
    /// @notice Transfers tokens from msg.sender to a recipient
    /// @dev Calls transfer on token contract, errors with TF if transfer fails
    /// @param token The contract address of the token which will be transferred
    /// @param to The recipient of the transfer
    /// @param value The value of the transfer
    function safeTransfer(
        address token,
        address to,
        uint256 value
    ) internal {
        (bool success, bytes memory data) =
            token.call(abi.encodeWithSelector(IERC20Minimal.transfer.selector, to, value));
        require(success && (data.length == 0 || abi.decode(data, (bool))), 'TF');
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @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));
        require(absTick <= uint256(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: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math library for liquidity
library LiquidityMath {
    /// @notice Add a signed liquidity delta to liquidity and revert if it overflows or underflows
    /// @param x The liquidity before change
    /// @param y The delta by which liquidity should be changed
    /// @return z The liquidity delta
    function addDelta(uint128 x, int128 y) internal pure returns (uint128 z) {
        if (y < 0) {
            require((z = x - uint128(-y)) < x, 'LS');
        } else {
            require((z = x + uint128(y)) >= x, 'LA');
        }
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './LowGasSafeMath.sol';
import './SafeCast.sol';
import './FullMath.sol';
import './UnsafeMath.sol';
import './FixedPoint96.sol';
/// @title Functions based on Q64.96 sqrt price and liquidity
/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas
library SqrtPriceMath {
    using LowGasSafeMath for uint256;
    using SafeCast for uint256;
    /// @notice Gets the next sqrt price given a delta of token0
    /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the
    /// price less in order to not send too much output.
    /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),
    /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).
    /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token0 to add or remove from virtual reserves
    /// @param add Whether to add or remove the amount of token0
    /// @return The price after adding or removing amount, depending on add
    function getNextSqrtPriceFromAmount0RoundingUp(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price
        if (amount == 0) return sqrtPX96;
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        if (add) {
            uint256 product;
            if ((product = amount * sqrtPX96) / amount == sqrtPX96) {
                uint256 denominator = numerator1 + product;
                if (denominator >= numerator1)
                    // always fits in 160 bits
                    return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));
            }
            return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));
        } else {
            uint256 product;
            // if the product overflows, we know the denominator underflows
            // in addition, we must check that the denominator does not underflow
            require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);
            uint256 denominator = numerator1 - product;
            return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();
        }
    }
    /// @notice Gets the next sqrt price given a delta of token1
    /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least
    /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the
    /// price less in order to not send too much output.
    /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity
    /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta
    /// @param liquidity The amount of usable liquidity
    /// @param amount How much of token1 to add, or remove, from virtual reserves
    /// @param add Whether to add, or remove, the amount of token1
    /// @return The price after adding or removing `amount`
    function getNextSqrtPriceFromAmount1RoundingDown(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amount,
        bool add
    ) internal pure returns (uint160) {
        // if we're adding (subtracting), rounding down requires rounding the quotient down (up)
        // in both cases, avoid a mulDiv for most inputs
        if (add) {
            uint256 quotient =
                (
                    amount <= type(uint160).max
                        ? (amount << FixedPoint96.RESOLUTION) / liquidity
                        : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)
                );
            return uint256(sqrtPX96).add(quotient).toUint160();
        } else {
            uint256 quotient =
                (
                    amount <= type(uint160).max
                        ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)
                        : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)
                );
            require(sqrtPX96 > quotient);
            // always fits 160 bits
            return uint160(sqrtPX96 - quotient);
        }
    }
    /// @notice Gets the next sqrt price given an input amount of token0 or token1
    /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds
    /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountIn How much of token0, or token1, is being swapped in
    /// @param zeroForOne Whether the amount in is token0 or token1
    /// @return sqrtQX96 The price after adding the input amount to token0 or token1
    function getNextSqrtPriceFromInput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountIn,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we don't pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)
                : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);
    }
    /// @notice Gets the next sqrt price given an output amount of token0 or token1
    /// @dev Throws if price or liquidity are 0 or the next price is out of bounds
    /// @param sqrtPX96 The starting price before accounting for the output amount
    /// @param liquidity The amount of usable liquidity
    /// @param amountOut How much of token0, or token1, is being swapped out
    /// @param zeroForOne Whether the amount out is token0 or token1
    /// @return sqrtQX96 The price after removing the output amount of token0 or token1
    function getNextSqrtPriceFromOutput(
        uint160 sqrtPX96,
        uint128 liquidity,
        uint256 amountOut,
        bool zeroForOne
    ) internal pure returns (uint160 sqrtQX96) {
        require(sqrtPX96 > 0);
        require(liquidity > 0);
        // round to make sure that we pass the target price
        return
            zeroForOne
                ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)
                : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);
    }
    /// @notice Gets the amount0 delta between two prices
    /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),
    /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up or down
    /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount0) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;
        uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;
        require(sqrtRatioAX96 > 0);
        return
            roundUp
                ? UnsafeMath.divRoundingUp(
                    FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),
                    sqrtRatioAX96
                )
                : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;
    }
    /// @notice Gets the amount1 delta between two prices
    /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The amount of usable liquidity
    /// @param roundUp Whether to round the amount up, or down
    /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        uint128 liquidity,
        bool roundUp
    ) internal pure returns (uint256 amount1) {
        if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);
        return
            roundUp
                ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)
                : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);
    }
    /// @notice Helper that gets signed token0 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount0 delta
    /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices
    function getAmount0Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount0) {
        return
            liquidity < 0
                ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
    /// @notice Helper that gets signed token1 delta
    /// @param sqrtRatioAX96 A sqrt price
    /// @param sqrtRatioBX96 Another sqrt price
    /// @param liquidity The change in liquidity for which to compute the amount1 delta
    /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices
    function getAmount1Delta(
        uint160 sqrtRatioAX96,
        uint160 sqrtRatioBX96,
        int128 liquidity
    ) internal pure returns (int256 amount1) {
        return
            liquidity < 0
                ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()
                : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();
    }
}
// SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.5.0;
import './FullMath.sol';
import './SqrtPriceMath.sol';
/// @title Computes the result of a swap within ticks
/// @notice Contains methods for computing the result of a swap within a single tick price range, i.e., a single tick.
library SwapMath {
    /// @notice Computes the result of swapping some amount in, or amount out, given the parameters of the swap
    /// @dev The fee, plus the amount in, will never exceed the amount remaining if the swap's `amountSpecified` is positive
    /// @param sqrtRatioCurrentX96 The current sqrt price of the pool
    /// @param sqrtRatioTargetX96 The price that cannot be exceeded, from which the direction of the swap is inferred
    /// @param liquidity The usable liquidity
    /// @param amountRemaining How much input or output amount is remaining to be swapped in/out
    /// @param feePips The fee taken from the input amount, expressed in hundredths of a bip
    /// @return sqrtRatioNextX96 The price after swapping the amount in/out, not to exceed the price target
    /// @return amountIn The amount to be swapped in, of either token0 or token1, based on the direction of the swap
    /// @return amountOut The amount to be received, of either token0 or token1, based on the direction of the swap
    /// @return feeAmount The amount of input that will be taken as a fee
    function computeSwapStep(
        uint160 sqrtRatioCurrentX96,
        uint160 sqrtRatioTargetX96,
        uint128 liquidity,
        int256 amountRemaining,
        uint24 feePips
    )
        internal
        pure
        returns (
            uint160 sqrtRatioNextX96,
            uint256 amountIn,
            uint256 amountOut,
            uint256 feeAmount
        )
    {
        bool zeroForOne = sqrtRatioCurrentX96 >= sqrtRatioTargetX96;
        bool exactIn = amountRemaining >= 0;
        if (exactIn) {
            uint256 amountRemainingLessFee = FullMath.mulDiv(uint256(amountRemaining), 1e6 - feePips, 1e6);
            amountIn = zeroForOne
                ? SqrtPriceMath.getAmount0Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, true)
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, true);
            if (amountRemainingLessFee >= amountIn) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromInput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    amountRemainingLessFee,
                    zeroForOne
                );
        } else {
            amountOut = zeroForOne
                ? SqrtPriceMath.getAmount1Delta(sqrtRatioTargetX96, sqrtRatioCurrentX96, liquidity, false)
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioTargetX96, liquidity, false);
            if (uint256(-amountRemaining) >= amountOut) sqrtRatioNextX96 = sqrtRatioTargetX96;
            else
                sqrtRatioNextX96 = SqrtPriceMath.getNextSqrtPriceFromOutput(
                    sqrtRatioCurrentX96,
                    liquidity,
                    uint256(-amountRemaining),
                    zeroForOne
                );
        }
        bool max = sqrtRatioTargetX96 == sqrtRatioNextX96;
        // get the input/output amounts
        if (zeroForOne) {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount0Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount1Delta(sqrtRatioNextX96, sqrtRatioCurrentX96, liquidity, false);
        } else {
            amountIn = max && exactIn
                ? amountIn
                : SqrtPriceMath.getAmount1Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, true);
            amountOut = max && !exactIn
                ? amountOut
                : SqrtPriceMath.getAmount0Delta(sqrtRatioCurrentX96, sqrtRatioNextX96, liquidity, false);
        }
        // cap the output amount to not exceed the remaining output amount
        if (!exactIn && amountOut > uint256(-amountRemaining)) {
            amountOut = uint256(-amountRemaining);
        }
        if (exactIn && sqrtRatioNextX96 != sqrtRatioTargetX96) {
            // we didn't reach the target, so take the remainder of the maximum input as fee
            feeAmount = uint256(amountRemaining) - amountIn;
        } else {
            feeAmount = FullMath.mulDivRoundingUp(amountIn, feePips, 1e6 - feePips);
        }
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title An interface for a contract that is capable of deploying Uniswap V3 Pools
/// @notice A contract that constructs a pool must implement this to pass arguments to the pool
/// @dev This is used to avoid having constructor arguments in the pool contract, which results in the init code hash
/// of the pool being constant allowing the CREATE2 address of the pool to be cheaply computed on-chain
interface IUniswapV3PoolDeployer {
    /// @notice Get the parameters to be used in constructing the pool, set transiently during pool creation.
    /// @dev Called by the pool constructor to fetch the parameters of the pool
    /// Returns factory The factory address
    /// Returns token0 The first token of the pool by address sort order
    /// Returns token1 The second token of the pool by address sort order
    /// Returns fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// Returns tickSpacing The minimum number of ticks between initialized ticks
    function parameters()
        external
        view
        returns (
            address factory,
            address token0,
            address token1,
            uint24 fee,
            int24 tickSpacing
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title The interface for the Uniswap V3 Factory
/// @notice The Uniswap V3 Factory facilitates creation of Uniswap V3 pools and control over the protocol fees
interface IUniswapV3Factory {
    /// @notice Emitted when the owner of the factory is changed
    /// @param oldOwner The owner before the owner was changed
    /// @param newOwner The owner after the owner was changed
    event OwnerChanged(address indexed oldOwner, address indexed newOwner);
    /// @notice Emitted when a pool is created
    /// @param token0 The first token of the pool by address sort order
    /// @param token1 The second token of the pool by address sort order
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks
    /// @param pool The address of the created pool
    event PoolCreated(
        address indexed token0,
        address indexed token1,
        uint24 indexed fee,
        int24 tickSpacing,
        address pool
    );
    /// @notice Emitted when a new fee amount is enabled for pool creation via the factory
    /// @param fee The enabled fee, denominated in hundredths of a bip
    /// @param tickSpacing The minimum number of ticks between initialized ticks for pools created with the given fee
    event FeeAmountEnabled(uint24 indexed fee, int24 indexed tickSpacing);
    /// @notice Returns the current owner of the factory
    /// @dev Can be changed by the current owner via setOwner
    /// @return The address of the factory owner
    function owner() external view returns (address);
    /// @notice Returns the tick spacing for a given fee amount, if enabled, or 0 if not enabled
    /// @dev A fee amount can never be removed, so this value should be hard coded or cached in the calling context
    /// @param fee The enabled fee, denominated in hundredths of a bip. Returns 0 in case of unenabled fee
    /// @return The tick spacing
    function feeAmountTickSpacing(uint24 fee) external view returns (int24);
    /// @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
    /// @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
    /// @param tokenA The contract address of either token0 or token1
    /// @param tokenB The contract address of the other token
    /// @param fee The fee collected upon every swap in the pool, denominated in hundredths of a bip
    /// @return pool The pool address
    function getPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external view returns (address pool);
    /// @notice Creates a pool for the given two tokens and fee
    /// @param tokenA One of the two tokens in the desired pool
    /// @param tokenB The other of the two tokens in the desired pool
    /// @param fee The desired fee for the pool
    /// @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
    /// from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
    /// are invalid.
    /// @return pool The address of the newly created pool
    function createPool(
        address tokenA,
        address tokenB,
        uint24 fee
    ) external returns (address pool);
    /// @notice Updates the owner of the factory
    /// @dev Must be called by the current owner
    /// @param _owner The new owner of the factory
    function setOwner(address _owner) external;
    /// @notice Enables a fee amount with the given tickSpacing
    /// @dev Fee amounts may never be removed once enabled
    /// @param fee The fee amount to enable, denominated in hundredths of a bip (i.e. 1e-6)
    /// @param tickSpacing The spacing between ticks to be enforced for all pools created with the given fee amount
    function enableFeeAmount(uint24 fee, int24 tickSpacing) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Minimal ERC20 interface for Uniswap
/// @notice Contains a subset of the full ERC20 interface that is used in Uniswap V3
interface IERC20Minimal {
    /// @notice Returns the balance of a token
    /// @param account The account for which to look up the number of tokens it has, i.e. its balance
    /// @return The number of tokens held by the account
    function balanceOf(address account) external view returns (uint256);
    /// @notice Transfers the amount of token from the `msg.sender` to the recipient
    /// @param recipient The account that will receive the amount transferred
    /// @param amount The number of tokens to send from the sender to the recipient
    /// @return Returns true for a successful transfer, false for an unsuccessful transfer
    function transfer(address recipient, uint256 amount) external returns (bool);
    /// @notice Returns the current allowance given to a spender by an owner
    /// @param owner The account of the token owner
    /// @param spender The account of the token spender
    /// @return The current allowance granted by `owner` to `spender`
    function allowance(address owner, address spender) external view returns (uint256);
    /// @notice Sets the allowance of a spender from the `msg.sender` to the value `amount`
    /// @param spender The account which will be allowed to spend a given amount of the owners tokens
    /// @param amount The amount of tokens allowed to be used by `spender`
    /// @return Returns true for a successful approval, false for unsuccessful
    function approve(address spender, uint256 amount) external returns (bool);
    /// @notice Transfers `amount` tokens from `sender` to `recipient` up to the allowance given to the `msg.sender`
    /// @param sender The account from which the transfer will be initiated
    /// @param recipient The recipient of the transfer
    /// @param amount The amount of the transfer
    /// @return Returns true for a successful transfer, false for unsuccessful
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) external returns (bool);
    /// @notice Event emitted when tokens are transferred from one address to another, either via `#transfer` or `#transferFrom`.
    /// @param from The account from which the tokens were sent, i.e. the balance decreased
    /// @param to The account to which the tokens were sent, i.e. the balance increased
    /// @param value The amount of tokens that were transferred
    event Transfer(address indexed from, address indexed to, uint256 value);
    /// @notice Event emitted when the approval amount for the spender of a given owner's tokens changes.
    /// @param owner The account that approved spending of its tokens
    /// @param spender The account for which the spending allowance was modified
    /// @param value The new allowance from the owner to the spender
    event Approval(address indexed owner, address indexed spender, uint256 value);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#mint
/// @notice Any contract that calls IUniswapV3PoolActions#mint must implement this interface
interface IUniswapV3MintCallback {
    /// @notice Called to `msg.sender` after minting liquidity to a position from IUniswapV3Pool#mint.
    /// @dev In the implementation you must pay the pool tokens owed for the minted liquidity.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// @param amount0Owed The amount of token0 due to the pool for the minted liquidity
    /// @param amount1Owed The amount of token1 due to the pool for the minted liquidity
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#mint call
    function uniswapV3MintCallback(
        uint256 amount0Owed,
        uint256 amount1Owed,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#swap
/// @notice Any contract that calls IUniswapV3PoolActions#swap must implement this interface
interface IUniswapV3SwapCallback {
    /// @notice Called to `msg.sender` after executing a swap via IUniswapV3Pool#swap.
    /// @dev In the implementation you must pay the pool tokens owed for the swap.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// amount0Delta and amount1Delta can both be 0 if no tokens were swapped.
    /// @param amount0Delta The amount of token0 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token0 to the pool.
    /// @param amount1Delta The amount of token1 that was sent (negative) or must be received (positive) by the pool by
    /// the end of the swap. If positive, the callback must send that amount of token1 to the pool.
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#swap call
    function uniswapV3SwapCallback(
        int256 amount0Delta,
        int256 amount1Delta,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Callback for IUniswapV3PoolActions#flash
/// @notice Any contract that calls IUniswapV3PoolActions#flash must implement this interface
interface IUniswapV3FlashCallback {
    /// @notice Called to `msg.sender` after transferring to the recipient from IUniswapV3Pool#flash.
    /// @dev In the implementation you must repay the pool the tokens sent by flash plus the computed fee amounts.
    /// The caller of this method must be checked to be a UniswapV3Pool deployed by the canonical UniswapV3Factory.
    /// @param fee0 The fee amount in token0 due to the pool by the end of the flash
    /// @param fee1 The fee amount in token1 due to the pool by the end of the flash
    /// @param data Any data passed through by the caller via the IUniswapV3PoolActions#flash call
    function uniswapV3FlashCallback(
        uint256 fee0,
        uint256 fee1,
        bytes calldata data
    ) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IUniswapV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);
    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);
    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);
    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);
    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);
    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IUniswapV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// observationIndex The index of the last oracle observation that was written,
    /// observationCardinality The current maximum number of observations stored in the pool,
    /// observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint8 feeProtocol,
            bool unlocked
        );
    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);
    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);
    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);
    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    function liquidity() external view returns (uint128);
    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper,
    /// liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );
    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);
    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return _liquidity The amount of liquidity in the position,
    /// Returns feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// Returns feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// Returns tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// Returns tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 _liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );
    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// Returns tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// Returns secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// Returns initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IUniswapV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);
    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IUniswapV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;
    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);
    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);
    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;
    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IUniswapV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;
    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IUniswapV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);
    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );
    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );
    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick
    );
    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );
    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );
    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);
    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title BitMath
/// @dev This library provides functionality for computing bit properties of an unsigned integer
library BitMath {
    /// @notice Returns the index of the most significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     x >= 2**mostSignificantBit(x) and x < 2**(mostSignificantBit(x)+1)
    /// @param x the value for which to compute the most significant bit, must be greater than 0
    /// @return r the index of the most significant bit
    function mostSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        if (x >= 0x100000000000000000000000000000000) {
            x >>= 128;
            r += 128;
        }
        if (x >= 0x10000000000000000) {
            x >>= 64;
            r += 64;
        }
        if (x >= 0x100000000) {
            x >>= 32;
            r += 32;
        }
        if (x >= 0x10000) {
            x >>= 16;
            r += 16;
        }
        if (x >= 0x100) {
            x >>= 8;
            r += 8;
        }
        if (x >= 0x10) {
            x >>= 4;
            r += 4;
        }
        if (x >= 0x4) {
            x >>= 2;
            r += 2;
        }
        if (x >= 0x2) r += 1;
    }
    /// @notice Returns the index of the least significant bit of the number,
    ///     where the least significant bit is at index 0 and the most significant bit is at index 255
    /// @dev The function satisfies the property:
    ///     (x & 2**leastSignificantBit(x)) != 0 and (x & (2**(leastSignificantBit(x)) - 1)) == 0)
    /// @param x the value for which to compute the least significant bit, must be greater than 0
    /// @return r the index of the least significant bit
    function leastSignificantBit(uint256 x) internal pure returns (uint8 r) {
        require(x > 0);
        r = 255;
        if (x & type(uint128).max > 0) {
            r -= 128;
        } else {
            x >>= 128;
        }
        if (x & type(uint64).max > 0) {
            r -= 64;
        } else {
            x >>= 64;
        }
        if (x & type(uint32).max > 0) {
            r -= 32;
        } else {
            x >>= 32;
        }
        if (x & type(uint16).max > 0) {
            r -= 16;
        } else {
            x >>= 16;
        }
        if (x & type(uint8).max > 0) {
            r -= 8;
        } else {
            x >>= 8;
        }
        if (x & 0xf > 0) {
            r -= 4;
        } else {
            x >>= 4;
        }
        if (x & 0x3 > 0) {
            r -= 2;
        } else {
            x >>= 2;
        }
        if (x & 0x1 > 0) r -= 1;
    }
}
// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
/// @title Math functions that do not check inputs or outputs
/// @notice Contains methods that perform common math functions but do not do any overflow or underflow checks
library UnsafeMath {
    /// @notice Returns ceil(x / y)
    /// @dev division by 0 has unspecified behavior, and must be checked externally
    /// @param x The dividend
    /// @param y The divisor
    /// @return z The quotient, ceil(x / y)
    function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
        assembly {
            z := add(div(x, y), gt(mod(x, y), 0))
        }
    }
}
// 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;
}