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pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (investments/lovToken/managers/OrigamiLovTokenMorphoManager.sol)

import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { IERC20Metadata } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";

import { IOrigamiLovTokenMorphoManager } from "contracts/interfaces/investments/lovToken/managers/IOrigamiLovTokenMorphoManager.sol";
import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { IOrigamiLovTokenManager } from "contracts/interfaces/investments/lovToken/managers/IOrigamiLovTokenManager.sol";
import { IOrigamiMorphoBorrowAndLend } from "contracts/interfaces/common/borrowAndLend/IOrigamiMorphoBorrowAndLend.sol";

import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";
import { OrigamiAbstractLovTokenManager } from "contracts/investments/lovToken/managers/OrigamiAbstractLovTokenManager.sol";
import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { Range } from "contracts/libraries/Range.sol";
import { DynamicFees } from "contracts/libraries/DynamicFees.sol";

/**
 * @title Origami LovToken Manager, for use with Morpho markets
 * @notice The `reserveToken` is deposited by users and supplied into Morpho as collateral
 * Upon a rebalanceDown (to decrease the A/L), the position is levered up
 */
contract OrigamiLovTokenMorphoManager is IOrigamiLovTokenMorphoManager, OrigamiAbstractLovTokenManager {
    using SafeERC20 for IERC20;
    using OrigamiMath for uint256;

    /**
     * @notice reserveToken that this lovToken levers up on
     * This is also the asset which users deposit/exit with in this lovToken manager
     */
    IERC20 private immutable _reserveToken;

    /**
     * @notice The asset which lovToken borrows from the money market to increase the A/L ratio
     */
    IERC20 private immutable _debtToken;

    /**
     * @notice The base asset used when retrieving the prices for dynamic fee calculations.
     */
    address public immutable override dynamicFeeOracleBaseToken;

    /**
     * @notice The contract responsible for borrow/lend via external markets
     */
    IOrigamiMorphoBorrowAndLend public override borrowLend;

    /**
     * @notice The oracle to convert `debtToken` <--> `reserveToken`
     */
    IOrigamiOracle public override debtTokenToReserveTokenOracle;

    /**
     * @notice The oracle to use when observing prices which are used for the dynamic fee calculations
     */
    IOrigamiOracle public override dynamicFeePriceOracle;

    /**
     * @dev Internal struct used to abi.encode params through a flashloan request
     */
    enum RebalanceCallbackType {
        REBALANCE_DOWN,
        REBALANCE_UP
    }

    constructor(
        address _initialOwner,
        address _reserveToken_,
        address _debtToken_,
        address _dynamicFeeOracleBaseToken,
        address _lovToken,
        address _borrowLend
    ) OrigamiAbstractLovTokenManager(_initialOwner, _lovToken) {
        _reserveToken = IERC20(_reserveToken_);
        _debtToken = IERC20(_debtToken_);
        dynamicFeeOracleBaseToken = _dynamicFeeOracleBaseToken;
        borrowLend = IOrigamiMorphoBorrowAndLend(_borrowLend);

        // Validate the decimals of the reserve token
        // A borrow token of non-18dp has been tested and is ok
        // A reserve token of non-18dp has not been tested as yet.
        {
            uint256 _decimals = IERC20Metadata(_lovToken).decimals();
            if (IERC20Metadata(_reserveToken_).decimals() != _decimals) revert CommonEventsAndErrors.InvalidToken(_reserveToken_);
        }
    }

    /**
     * @notice Set the `debtToken` <--> `reserveToken` oracle configuration 
     */
    function setOracles(address _debtTokenToReserveTokenOracle, address _dynamicFeePriceOracle) external override onlyElevatedAccess {
        debtTokenToReserveTokenOracle = _validatedOracle(_debtTokenToReserveTokenOracle, address(_reserveToken), address(_debtToken));
        dynamicFeePriceOracle = _validatedOracle(_dynamicFeePriceOracle, dynamicFeeOracleBaseToken, address(_debtToken));
        emit OraclesSet(_debtTokenToReserveTokenOracle, _dynamicFeePriceOracle);
    }

    /**
     * @notice Set the Origami Borrow/Lend position holder
     */
    function setBorrowLend(address _address) external override onlyElevatedAccess {
        if (_address == address(0)) revert CommonEventsAndErrors.InvalidAddress(address(0));
        borrowLend = IOrigamiMorphoBorrowAndLend(_address);
        emit BorrowLendSet(_address);
    }

    /**
     * @notice Increase the A/L by reducing liabilities. Flash loan and repay debt, and withdraw collateral to repay the flash loan
     */
    function rebalanceUp(RebalanceUpParams calldata params) external override onlyElevatedAccess {
        _rebalanceUp(params, false);
    }

    /**
     * @notice Force a rebalanceUp ignoring A/L ceiling/floor
     * @dev Separate function to above to have stricter control on who can force
     */
    function forceRebalanceUp(RebalanceUpParams calldata params) external override onlyElevatedAccess {
        _rebalanceUp(params, true);
    }

    /**
     * @notice Decrease the A/L by increasing liabilities. Flash loan `debtToken` swap to `reserveToken`
     * and add as collateral into a money market. Then borrow `debtToken` to repay the flash loan.
     */
    function rebalanceDown(RebalanceDownParams calldata params) external override onlyElevatedAccess {
        _rebalanceDown(params, false);
    }
    
    /**
     * @notice Force a rebalanceDown ignoring A/L ceiling/floor
     * @dev Separate function to above to have stricter control on who can force
     */
    function forceRebalanceDown(RebalanceDownParams calldata params) external override onlyElevatedAccess {
        _rebalanceDown(params, true);
    }

    function _rebalanceDown(RebalanceDownParams calldata params, bool force) internal {
        // Get the current A/L to check for oracle prices, and so we can compare that the new A/L is lower after the rebalance
        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);
        uint128 alRatioBefore = _assetToLiabilityRatio(cache);

        uint256 _totalCollateralSupplied = borrowLend.increaseLeverage(
            params.supplyAmount,
            params.borrowAmount,
            params.swapData,
            params.supplyCollateralSurplusThreshold
        );

        // Validate that the new A/L is still within the `rebalanceALRange` and expected slippage range
        uint128 alRatioAfter = _validateAfterRebalance(
            cache, 
            alRatioBefore, 
            params.minNewAL, 
            params.maxNewAL, 
            AlValidationMode.LOWER_THAN_BEFORE, 
            force
        );

        emit Rebalance(
            int256(_totalCollateralSupplied),
            int256(params.borrowAmount),
            alRatioBefore,
            alRatioAfter
        );
    }

    function _rebalanceUp(RebalanceUpParams calldata params, bool force) internal {
        // Get the current A/L to check for oracle prices, and so we can compare that the new A/L is lower after the rebalance
        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);
        uint128 alRatioBefore = _assetToLiabilityRatio(cache);

        (uint256 _debtRepaidAmount, uint256 _surplusRepaidAmount) = borrowLend.decreaseLeverage(
            params.repayAmount,
            params.withdrawCollateralAmount,
            params.swapData,
            params.repaySurplusThreshold
        );

        // Repaying less than what was asked is only allowed in force mode.
        // This will only happen when there is no more debt in the money market, ie we are fully delevered
        if (_debtRepaidAmount != params.repayAmount) {
            if (!force) revert CommonEventsAndErrors.InvalidAmount(address(_debtToken), params.repayAmount);
        }

        // Validate that the new A/L is still within the `rebalanceALRange` and expected slippage range
        uint128 alRatioAfter = _validateAfterRebalance(
            cache, 
            alRatioBefore, 
            params.minNewAL, 
            params.maxNewAL, 
            AlValidationMode.HIGHER_THAN_BEFORE, 
            force
        );

        emit Rebalance(
            -int256(params.withdrawCollateralAmount),
            -int256(_debtRepaidAmount + _surplusRepaidAmount),
            alRatioBefore,
            alRatioAfter
        );
    }

    /**
     * @notice Recover accidental donations.
     * @param token Token to recover
     * @param to Recipient address
     * @param amount Amount to recover
     */
    function recoverToken(address token, address to, uint256 amount) external override onlyElevatedAccess {
        emit CommonEventsAndErrors.TokenRecovered(to, token, amount);
        IERC20(token).safeTransfer(to, amount);
    }

    /**
     * @notice The total balance of reserve tokens this lovToken holds.
     */
    function reservesBalance() public override(OrigamiAbstractLovTokenManager,IOrigamiLovTokenManager) view returns (uint256) {
        return borrowLend.suppliedBalance();
    }

    /**
     * @notice The underlying token this investment wraps. In this case, it's the `reserveToken`
     */
    function baseToken() external override view returns (address) {
        return address(_reserveToken);
    }

    /**
     * @notice The set of accepted tokens which can be used to invest. 
     * Only the `reserveToken` in this instance
     */
    function acceptedInvestTokens() external override view returns (address[] memory tokens) {
        tokens = new address[](1);
        tokens[0] = address(_reserveToken);
    }

    /**
     * @notice The set of accepted tokens which can be used to exit into.
     * Only the `reserveToken` in this instance
     */
    function acceptedExitTokens() external override view returns (address[] memory tokens) {
        tokens = new address[](1);
        tokens[0] = address(_reserveToken);
    }

    /**
     * @notice The reserveToken that the lovToken levers up on
     */
    function reserveToken() public override(OrigamiAbstractLovTokenManager,IOrigamiLovTokenManager) view returns (address) {
        return address(_reserveToken);
    }

    /**
     * @notice The asset which lovToken borrows to increase the A/L ratio
     */
    function debtToken() external override view returns (address) {
        return address(_debtToken);
    }

    /**
     * @notice The debt of the lovToken to the money market, converted into the `reserveToken`
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function liabilities(IOrigamiOracle.PriceType debtPriceType) public override(OrigamiAbstractLovTokenManager,IOrigamiLovTokenManager) view returns (uint256) {
        // In [debtToken] terms.
        uint256 debt = borrowLend.debtBalance();
        if (debt == 0) return 0;

        // Convert the [debtToken] into the [reserveToken] terms
        return debtTokenToReserveTokenOracle.convertAmount(
            address(_debtToken),
            debt,
            debtPriceType, 
            OrigamiMath.Rounding.ROUND_UP
        );
    }

    /**
     * @notice The current deposit fee based on market conditions.
     * Deposit fees are applied to the portion of lovToken shares the depositor 
     * would have received. Instead that fee portion isn't minted (benefiting remaining users)
     * @dev represented in basis points
     */
    function _dynamicDepositFeeBps() internal override view returns (uint256) {
        return DynamicFees.dynamicFeeBps(
            DynamicFees.FeeType.DEPOSIT_FEE,
            dynamicFeePriceOracle,
            dynamicFeeOracleBaseToken,
            _minDepositFeeBps,
            _feeLeverageFactor
        );
    }

    /**
     * @notice The current exit fee based on market conditions.
     * Exit fees are applied to the lovToken shares the user is exiting. 
     * That portion is burned prior to being redeemed (benefiting remaining users)
     * @dev represented in basis points
     */
    function _dynamicExitFeeBps() internal override view returns (uint256) {
        return DynamicFees.dynamicFeeBps(
            DynamicFees.FeeType.EXIT_FEE,
            dynamicFeePriceOracle,
            dynamicFeeOracleBaseToken,
            _minExitFeeBps,
            _feeLeverageFactor
        );
    }

    /**
     * @notice Deposit a number of `fromToken` into the `reserveToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _depositIntoReserves(address fromToken, uint256 fromTokenAmount) internal override returns (uint256 newReservesAmount) {
        if (fromToken == address(_reserveToken)) {
            newReservesAmount = fromTokenAmount;

            // Supply into the money market
            IOrigamiMorphoBorrowAndLend _borrowLend = borrowLend;
            _reserveToken.safeTransfer(address(_borrowLend), fromTokenAmount);
            _borrowLend.supply(fromTokenAmount);
        } else {
            revert CommonEventsAndErrors.InvalidToken(fromToken);
        }
    }

    /**
     * @notice Calculate the amount of `reserveToken` will be deposited given an amount of `fromToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _previewDepositIntoReserves(address fromToken, uint256 fromTokenAmount) internal override view returns (uint256 newReservesAmount) {
        return fromToken == address(_reserveToken) ? fromTokenAmount : 0;
    }
    
    /**
     * @notice Maximum amount of `fromToken` that can be deposited into the `reserveToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _maxDepositIntoReserves(address fromToken) internal override view returns (uint256 fromTokenAmount) {
        if (fromToken == address(_reserveToken)) {
            (uint256 _supplyCap, uint256 _available) = borrowLend.availableToSupply();
            return _supplyCap == 0 ? MAX_TOKEN_AMOUNT : _available;
        }

        // Anything else returns 0
    }

    /**
     * @notice Calculate the number of `toToken` required in order to mint a given number of `reserveToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _previewMintReserves(address toToken, uint256 reservesAmount) internal override view returns (uint256 newReservesAmount) {
        return toToken == address(_reserveToken) ? reservesAmount : 0;
    }

    /**
     * @notice Redeem a number of `reserveToken` into `toToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _redeemFromReserves(uint256 reservesAmount, address toToken, address recipient) internal override returns (uint256 toTokenAmount) {
        if (toToken == address(_reserveToken)) {
            toTokenAmount = reservesAmount;
            uint256 _amountWithdrawn = borrowLend.withdraw(reservesAmount, recipient);
            if (_amountWithdrawn != reservesAmount) revert CommonEventsAndErrors.InvalidAmount(toToken, reservesAmount);
        } else {
            revert CommonEventsAndErrors.InvalidToken(toToken);
        }
    }

    /**
     * @notice Calculate the number of `toToken` recevied if redeeming a number of `reserveToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _previewRedeemFromReserves(uint256 reservesAmount, address toToken) internal override view returns (uint256 toTokenAmount) {
        return toToken == address(_reserveToken) ? reservesAmount : 0;
    }

    /**
     * @notice Maximum amount of `reserveToken` that can be redeemed to `toToken`
     * This vault only accepts where `fromToken` == `reserveToken`
     */
    function _maxRedeemFromReserves(address toToken, Cache memory /*cache*/) internal override view returns (uint256 reservesAmount) {
        if (toToken == address(_reserveToken)) {
            // Within Morpho, we can always withdraw our supplied collateral as it is siloed.
            reservesAmount = borrowLend.suppliedBalance();
        }

        // Anything else returns 0
    }

    /**
     * @dev Revert if the range is invalid comparing to upstrea Aave/Spark
     */
    function _validateAlRange(Range.Data storage range) internal override view {
        if (!borrowLend.isSafeAlRatio(range.floor)) revert Range.InvalidRange(range.floor, range.ceiling);
    }

    function _validatedOracle(
        address oracleAddress, 
        address baseAsset, 
        address quoteAsset
    ) private view returns (IOrigamiOracle oracle) {
        if (oracleAddress == address(0)) revert CommonEventsAndErrors.InvalidAddress(address(0));
        oracle = IOrigamiOracle(oracleAddress);

        // Validate the assets on the oracle match what this lovToken needs
        if (!oracle.matchAssets(baseAsset, quoteAsset)) {
            revert CommonEventsAndErrors.InvalidParam();
        }
    }
}

// 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 [email protected]
/// @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: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/draft-IERC20Permit.sol)

pragma solidity ^0.8.0;

// EIP-2612 is Final as of 2022-11-01. This file is deprecated.

import "./IERC20Permit.sol";

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

pragma solidity ^0.8.0;

import "../IERC20.sol";

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.3) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

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

// Common.sol
//
// Common mathematical functions needed by both SD59x18 and UD60x18. Note that these global functions do not
// always operate with SD59x18 and UD60x18 numbers.

/*//////////////////////////////////////////////////////////////////////////
                                CUSTOM ERRORS
//////////////////////////////////////////////////////////////////////////*/

/// @notice Thrown when the resultant value in {mulDiv} overflows uint256.
error PRBMath_MulDiv_Overflow(uint256 x, uint256 y, uint256 denominator);

/// @notice Thrown when the resultant value in {mulDiv18} overflows uint256.
error PRBMath_MulDiv18_Overflow(uint256 x, uint256 y);

/// @notice Thrown when one of the inputs passed to {mulDivSigned} is `type(int256).min`.
error PRBMath_MulDivSigned_InputTooSmall();

/// @notice Thrown when the resultant value in {mulDivSigned} overflows int256.
error PRBMath_MulDivSigned_Overflow(int256 x, int256 y);

/*//////////////////////////////////////////////////////////////////////////
                                    CONSTANTS
//////////////////////////////////////////////////////////////////////////*/

/// @dev The maximum value a uint128 number can have.
uint128 constant MAX_UINT128 = type(uint128).max;

/// @dev The maximum value a uint40 number can have.
uint40 constant MAX_UINT40 = type(uint40).max;

/// @dev The unit number, which the decimal precision of the fixed-point types.
uint256 constant UNIT = 1e18;

/// @dev The unit number inverted mod 2^256.
uint256 constant UNIT_INVERSE = 78156646155174841979727994598816262306175212592076161876661_508869554232690281;

/// @dev The the largest power of two that divides the decimal value of `UNIT`. The logarithm of this value is the least significant
/// bit in the binary representation of `UNIT`.
uint256 constant UNIT_LPOTD = 262144;

/*//////////////////////////////////////////////////////////////////////////
                                    FUNCTIONS
//////////////////////////////////////////////////////////////////////////*/

/// @notice Calculates the binary exponent of x using the binary fraction method.
/// @dev Has to use 192.64-bit fixed-point numbers. See https://ethereum.stackexchange.com/a/96594/24693.
/// @param x The exponent as an unsigned 192.64-bit fixed-point number.
/// @return result The result as an unsigned 60.18-decimal fixed-point number.
/// @custom:smtchecker abstract-function-nondet
function exp2(uint256 x) pure returns (uint256 result) {
    unchecked {
        // Start from 0.5 in the 192.64-bit fixed-point format.
        result = 0x800000000000000000000000000000000000000000000000;

        // The following logic multiplies the result by $\sqrt{2^{-i}}$ when the bit at position i is 1. Key points:
        //
        // 1. Intermediate results will not overflow, as the starting point is 2^191 and all magic factors are under 2^65.
        // 2. The rationale for organizing the if statements into groups of 8 is gas savings. If the result of performing
        // a bitwise AND operation between x and any value in the array [0x80; 0x40; 0x20; 0x10; 0x08; 0x04; 0x02; 0x01] is 1,
        // we know that `x & 0xFF` is also 1.
        if (x & 0xFF00000000000000 > 0) {
            if (x & 0x8000000000000000 > 0) {
                result = (result * 0x16A09E667F3BCC909) >> 64;
            }
            if (x & 0x4000000000000000 > 0) {
                result = (result * 0x1306FE0A31B7152DF) >> 64;
            }
            if (x & 0x2000000000000000 > 0) {
                result = (result * 0x1172B83C7D517ADCE) >> 64;
            }
            if (x & 0x1000000000000000 > 0) {
                result = (result * 0x10B5586CF9890F62A) >> 64;
            }
            if (x & 0x800000000000000 > 0) {
                result = (result * 0x1059B0D31585743AE) >> 64;
            }
            if (x & 0x400000000000000 > 0) {
                result = (result * 0x102C9A3E778060EE7) >> 64;
            }
            if (x & 0x200000000000000 > 0) {
                result = (result * 0x10163DA9FB33356D8) >> 64;
            }
            if (x & 0x100000000000000 > 0) {
                result = (result * 0x100B1AFA5ABCBED61) >> 64;
            }
        }

        if (x & 0xFF000000000000 > 0) {
            if (x & 0x80000000000000 > 0) {
                result = (result * 0x10058C86DA1C09EA2) >> 64;
            }
            if (x & 0x40000000000000 > 0) {
                result = (result * 0x1002C605E2E8CEC50) >> 64;
            }
            if (x & 0x20000000000000 > 0) {
                result = (result * 0x100162F3904051FA1) >> 64;
            }
            if (x & 0x10000000000000 > 0) {
                result = (result * 0x1000B175EFFDC76BA) >> 64;
            }
            if (x & 0x8000000000000 > 0) {
                result = (result * 0x100058BA01FB9F96D) >> 64;
            }
            if (x & 0x4000000000000 > 0) {
                result = (result * 0x10002C5CC37DA9492) >> 64;
            }
            if (x & 0x2000000000000 > 0) {
                result = (result * 0x1000162E525EE0547) >> 64;
            }
            if (x & 0x1000000000000 > 0) {
                result = (result * 0x10000B17255775C04) >> 64;
            }
        }

        if (x & 0xFF0000000000 > 0) {
            if (x & 0x800000000000 > 0) {
                result = (result * 0x1000058B91B5BC9AE) >> 64;
            }
            if (x & 0x400000000000 > 0) {
                result = (result * 0x100002C5C89D5EC6D) >> 64;
            }
            if (x & 0x200000000000 > 0) {
                result = (result * 0x10000162E43F4F831) >> 64;
            }
            if (x & 0x100000000000 > 0) {
                result = (result * 0x100000B1721BCFC9A) >> 64;
            }
            if (x & 0x80000000000 > 0) {
                result = (result * 0x10000058B90CF1E6E) >> 64;
            }
            if (x & 0x40000000000 > 0) {
                result = (result * 0x1000002C5C863B73F) >> 64;
            }
            if (x & 0x20000000000 > 0) {
                result = (result * 0x100000162E430E5A2) >> 64;
            }
            if (x & 0x10000000000 > 0) {
                result = (result * 0x1000000B172183551) >> 64;
            }
        }

        if (x & 0xFF00000000 > 0) {
            if (x & 0x8000000000 > 0) {
                result = (result * 0x100000058B90C0B49) >> 64;
            }
            if (x & 0x4000000000 > 0) {
                result = (result * 0x10000002C5C8601CC) >> 64;
            }
            if (x & 0x2000000000 > 0) {
                result = (result * 0x1000000162E42FFF0) >> 64;
            }
            if (x & 0x1000000000 > 0) {
                result = (result * 0x10000000B17217FBB) >> 64;
            }
            if (x & 0x800000000 > 0) {
                result = (result * 0x1000000058B90BFCE) >> 64;
            }
            if (x & 0x400000000 > 0) {
                result = (result * 0x100000002C5C85FE3) >> 64;
            }
            if (x & 0x200000000 > 0) {
                result = (result * 0x10000000162E42FF1) >> 64;
            }
            if (x & 0x100000000 > 0) {
                result = (result * 0x100000000B17217F8) >> 64;
            }
        }

        if (x & 0xFF000000 > 0) {
            if (x & 0x80000000 > 0) {
                result = (result * 0x10000000058B90BFC) >> 64;
            }
            if (x & 0x40000000 > 0) {
                result = (result * 0x1000000002C5C85FE) >> 64;
            }
            if (x & 0x20000000 > 0) {
                result = (result * 0x100000000162E42FF) >> 64;
            }
            if (x & 0x10000000 > 0) {
                result = (result * 0x1000000000B17217F) >> 64;
            }
            if (x & 0x8000000 > 0) {
                result = (result * 0x100000000058B90C0) >> 64;
            }
            if (x & 0x4000000 > 0) {
                result = (result * 0x10000000002C5C860) >> 64;
            }
            if (x & 0x2000000 > 0) {
                result = (result * 0x1000000000162E430) >> 64;
            }
            if (x & 0x1000000 > 0) {
                result = (result * 0x10000000000B17218) >> 64;
            }
        }

        if (x & 0xFF0000 > 0) {
            if (x & 0x800000 > 0) {
                result = (result * 0x1000000000058B90C) >> 64;
            }
            if (x & 0x400000 > 0) {
                result = (result * 0x100000000002C5C86) >> 64;
            }
            if (x & 0x200000 > 0) {
                result = (result * 0x10000000000162E43) >> 64;
            }
            if (x & 0x100000 > 0) {
                result = (result * 0x100000000000B1721) >> 64;
            }
            if (x & 0x80000 > 0) {
                result = (result * 0x10000000000058B91) >> 64;
            }
            if (x & 0x40000 > 0) {
                result = (result * 0x1000000000002C5C8) >> 64;
            }
            if (x & 0x20000 > 0) {
                result = (result * 0x100000000000162E4) >> 64;
            }
            if (x & 0x10000 > 0) {
                result = (result * 0x1000000000000B172) >> 64;
            }
        }

        if (x & 0xFF00 > 0) {
            if (x & 0x8000 > 0) {
                result = (result * 0x100000000000058B9) >> 64;
            }
            if (x & 0x4000 > 0) {
                result = (result * 0x10000000000002C5D) >> 64;
            }
            if (x & 0x2000 > 0) {
                result = (result * 0x1000000000000162E) >> 64;
            }
            if (x & 0x1000 > 0) {
                result = (result * 0x10000000000000B17) >> 64;
            }
            if (x & 0x800 > 0) {
                result = (result * 0x1000000000000058C) >> 64;
            }
            if (x & 0x400 > 0) {
                result = (result * 0x100000000000002C6) >> 64;
            }
            if (x & 0x200 > 0) {
                result = (result * 0x10000000000000163) >> 64;
            }
            if (x & 0x100 > 0) {
                result = (result * 0x100000000000000B1) >> 64;
            }
        }

        if (x & 0xFF > 0) {
            if (x & 0x80 > 0) {
                result = (result * 0x10000000000000059) >> 64;
            }
            if (x & 0x40 > 0) {
                result = (result * 0x1000000000000002C) >> 64;
            }
            if (x & 0x20 > 0) {
                result = (result * 0x10000000000000016) >> 64;
            }
            if (x & 0x10 > 0) {
                result = (result * 0x1000000000000000B) >> 64;
            }
            if (x & 0x8 > 0) {
                result = (result * 0x10000000000000006) >> 64;
            }
            if (x & 0x4 > 0) {
                result = (result * 0x10000000000000003) >> 64;
            }
            if (x & 0x2 > 0) {
                result = (result * 0x10000000000000001) >> 64;
            }
            if (x & 0x1 > 0) {
                result = (result * 0x10000000000000001) >> 64;
            }
        }

        // In the code snippet below, two operations are executed simultaneously:
        //
        // 1. The result is multiplied by $(2^n + 1)$, where $2^n$ represents the integer part, and the additional 1
        // accounts for the initial guess of 0.5. This is achieved by subtracting from 191 instead of 192.
        // 2. The result is then converted to an unsigned 60.18-decimal fixed-point format.
        //
        // The underlying logic is based on the relationship $2^{191-ip} = 2^{ip} / 2^{191}$, where $ip$ denotes the,
        // integer part, $2^n$.
        result *= UNIT;
        result >>= (191 - (x >> 64));
    }
}

/// @notice Finds the zero-based index of the first 1 in the binary representation of x.
///
/// @dev See the note on "msb" in this Wikipedia article: https://en.wikipedia.org/wiki/Find_first_set
///
/// Each step in this implementation is equivalent to this high-level code:
///
/// ```solidity
/// if (x >= 2 ** 128) {
///     x >>= 128;
///     result += 128;
/// }
/// ```
///
/// Where 128 is replaced with each respective power of two factor. See the full high-level implementation here:
/// https://gist.github.com/PaulRBerg/f932f8693f2733e30c4d479e8e980948
///
/// The Yul instructions used below are:
///
/// - "gt" is "greater than"
/// - "or" is the OR bitwise operator
/// - "shl" is "shift left"
/// - "shr" is "shift right"
///
/// @param x The uint256 number for which to find the index of the most significant bit.
/// @return result The index of the most significant bit as a uint256.
/// @custom:smtchecker abstract-function-nondet
function msb(uint256 x) pure returns (uint256 result) {
    // 2^128
    assembly ("memory-safe") {
        let factor := shl(7, gt(x, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^64
    assembly ("memory-safe") {
        let factor := shl(6, gt(x, 0xFFFFFFFFFFFFFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^32
    assembly ("memory-safe") {
        let factor := shl(5, gt(x, 0xFFFFFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^16
    assembly ("memory-safe") {
        let factor := shl(4, gt(x, 0xFFFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^8
    assembly ("memory-safe") {
        let factor := shl(3, gt(x, 0xFF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^4
    assembly ("memory-safe") {
        let factor := shl(2, gt(x, 0xF))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^2
    assembly ("memory-safe") {
        let factor := shl(1, gt(x, 0x3))
        x := shr(factor, x)
        result := or(result, factor)
    }
    // 2^1
    // No need to shift x any more.
    assembly ("memory-safe") {
        let factor := gt(x, 0x1)
        result := or(result, factor)
    }
}

/// @notice Calculates x*y÷denominator with 512-bit precision.
///
/// @dev Credits to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv.
///
/// Notes:
/// - The result is rounded toward zero.
///
/// Requirements:
/// - The denominator must not be zero.
/// - The result must fit in uint256.
///
/// @param x The multiplicand as a uint256.
/// @param y The multiplier as a uint256.
/// @param denominator The divisor as a uint256.
/// @return result The result as a uint256.
/// @custom:smtchecker abstract-function-nondet
function mulDiv(uint256 x, uint256 y, uint256 denominator) pure returns (uint256 result) {
    // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
    // use the Chinese Remainder Theorem to reconstruct the 512-bit result. The result is stored in two 256
    // variables such that product = prod1 * 2^256 + prod0.
    uint256 prod0; // Least significant 256 bits of the product
    uint256 prod1; // Most significant 256 bits of the product
    assembly ("memory-safe") {
        let mm := mulmod(x, y, not(0))
        prod0 := mul(x, y)
        prod1 := sub(sub(mm, prod0), lt(mm, prod0))
    }

    // Handle non-overflow cases, 256 by 256 division.
    if (prod1 == 0) {
        unchecked {
            return prod0 / denominator;
        }
    }

    // Make sure the result is less than 2^256. Also prevents denominator == 0.
    if (prod1 >= denominator) {
        revert PRBMath_MulDiv_Overflow(x, y, denominator);
    }

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

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

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

    unchecked {
        // Calculate the largest power of two divisor of the denominator using the unary operator ~. This operation cannot overflow
        // because the denominator cannot be zero at this point in the function execution. The result is always >= 1.
        // For more detail, see https://cs.stackexchange.com/q/138556/92363.
        uint256 lpotdod = denominator & (~denominator + 1);
        uint256 flippedLpotdod;

        assembly ("memory-safe") {
            // Factor powers of two out of denominator.
            denominator := div(denominator, lpotdod)

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

            // Get the flipped value `2^256 / lpotdod`. If the `lpotdod` is zero, the flipped value is one.
            // `sub(0, lpotdod)` produces the two's complement version of `lpotdod`, which is equivalent to flipping all the bits.
            // However, `div` interprets this value as an unsigned value: https://ethereum.stackexchange.com/q/147168/24693
            flippedLpotdod := add(div(sub(0, lpotdod), lpotdod), 1)
        }

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

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

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

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

/// @notice Calculates x*y÷1e18 with 512-bit precision.
///
/// @dev A variant of {mulDiv} with constant folding, i.e. in which the denominator is hard coded to 1e18.
///
/// Notes:
/// - The body is purposely left uncommented; to understand how this works, see the documentation in {mulDiv}.
/// - The result is rounded toward zero.
/// - We take as an axiom that the result cannot be `MAX_UINT256` when x and y solve the following system of equations:
///
/// $$
/// \begin{cases}
///     x * y = MAX\_UINT256 * UNIT \\
///     (x * y) \% UNIT \geq \frac{UNIT}{2}
/// \end{cases}
/// $$
///
/// Requirements:
/// - Refer to the requirements in {mulDiv}.
/// - The result must fit in uint256.
///
/// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number.
/// @param y The multiplier as an unsigned 60.18-decimal fixed-point number.
/// @return result The result as an unsigned 60.18-decimal fixed-point number.
/// @custom:smtchecker abstract-function-nondet
function mulDiv18(uint256 x, uint256 y) pure returns (uint256 result) {
    uint256 prod0;
    uint256 prod1;
    assembly ("memory-safe") {
        let mm := mulmod(x, y, not(0))
        prod0 := mul(x, y)
        prod1 := sub(sub(mm, prod0), lt(mm, prod0))
    }

    if (prod1 == 0) {
        unchecked {
            return prod0 / UNIT;
        }
    }

    if (prod1 >= UNIT) {
        revert PRBMath_MulDiv18_Overflow(x, y);
    }

    uint256 remainder;
    assembly ("memory-safe") {
        remainder := mulmod(x, y, UNIT)
        result :=
            mul(
                or(
                    div(sub(prod0, remainder), UNIT_LPOTD),
                    mul(sub(prod1, gt(remainder, prod0)), add(div(sub(0, UNIT_LPOTD), UNIT_LPOTD), 1))
                ),
                UNIT_INVERSE
            )
    }
}

/// @notice Calculates x*y÷denominator with 512-bit precision.
///
/// @dev This is an extension of {mulDiv} for signed numbers, which works by computing the signs and the absolute values separately.
///
/// Notes:
/// - The result is rounded toward zero.
///
/// Requirements:
/// - Refer to the requirements in {mulDiv}.
/// - None of the inputs can be `type(int256).min`.
/// - The result must fit in int256.
///
/// @param x The multiplicand as an int256.
/// @param y The multiplier as an int256.
/// @param denominator The divisor as an int256.
/// @return result The result as an int256.
/// @custom:smtchecker abstract-function-nondet
function mulDivSigned(int256 x, int256 y, int256 denominator) pure returns (int256 result) {
    if (x == type(int256).min || y == type(int256).min || denominator == type(int256).min) {
        revert PRBMath_MulDivSigned_InputTooSmall();
    }

    // Get hold of the absolute values of x, y and the denominator.
    uint256 xAbs;
    uint256 yAbs;
    uint256 dAbs;
    unchecked {
        xAbs = x < 0 ? uint256(-x) : uint256(x);
        yAbs = y < 0 ? uint256(-y) : uint256(y);
        dAbs = denominator < 0 ? uint256(-denominator) : uint256(denominator);
    }

    // Compute the absolute value of x*y÷denominator. The result must fit in int256.
    uint256 resultAbs = mulDiv(xAbs, yAbs, dAbs);
    if (resultAbs > uint256(type(int256).max)) {
        revert PRBMath_MulDivSigned_Overflow(x, y);
    }

    // Get the signs of x, y and the denominator.
    uint256 sx;
    uint256 sy;
    uint256 sd;
    assembly ("memory-safe") {
        // "sgt" is the "signed greater than" assembly instruction and "sub(0,1)" is -1 in two's complement.
        sx := sgt(x, sub(0, 1))
        sy := sgt(y, sub(0, 1))
        sd := sgt(denominator, sub(0, 1))
    }

    // XOR over sx, sy and sd. What this does is to check whether there are 1 or 3 negative signs in the inputs.
    // If there are, the result should be negative. Otherwise, it should be positive.
    unchecked {
        result = sx ^ sy ^ sd == 0 ? -int256(resultAbs) : int256(resultAbs);
    }
}

/// @notice Calculates the square root of x using the Babylonian method.
///
/// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method.
///
/// Notes:
/// - If x is not a perfect square, the result is rounded down.
/// - Credits to OpenZeppelin for the explanations in comments below.
///
/// @param x The uint256 number for which to calculate the square root.
/// @return result The result as a uint256.
/// @custom:smtchecker abstract-function-nondet
function sqrt(uint256 x) pure returns (uint256 result) {
    if (x == 0) {
        return 0;
    }

    // For our first guess, we calculate the biggest power of 2 which is smaller than the square root of x.
    //
    // We know that the "msb" (most significant bit) of x is a power of 2 such that we have:
    //
    // $$
    // msb(x) <= x <= 2*msb(x)$
    // $$
    //
    // We write $msb(x)$ as $2^k$, and we get:
    //
    // $$
    // k = log_2(x)
    // $$
    //
    // Thus, we can write the initial inequality as:
    //
    // $$
    // 2^{log_2(x)} <= x <= 2*2^{log_2(x)+1} \\
    // sqrt(2^k) <= sqrt(x) < sqrt(2^{k+1}) \\
    // 2^{k/2} <= sqrt(x) < 2^{(k+1)/2} <= 2^{(k/2)+1}
    // $$
    //
    // Consequently, $2^{log_2(x) /2} is a good first approximation of sqrt(x) with at least one correct bit.
    uint256 xAux = uint256(x);
    result = 1;
    if (xAux >= 2 ** 128) {
        xAux >>= 128;
        result <<= 64;
    }
    if (xAux >= 2 ** 64) {
        xAux >>= 64;
        result <<= 32;
    }
    if (xAux >= 2 ** 32) {
        xAux >>= 32;
        result <<= 16;
    }
    if (xAux >= 2 ** 16) {
        xAux >>= 16;
        result <<= 8;
    }
    if (xAux >= 2 ** 8) {
        xAux >>= 8;
        result <<= 4;
    }
    if (xAux >= 2 ** 4) {
        xAux >>= 4;
        result <<= 2;
    }
    if (xAux >= 2 ** 2) {
        result <<= 1;
    }

    // At this point, `result` is an estimation with at least one bit of precision. We know the true value has at
    // most 128 bits, since it is the square root of a uint256. Newton's method converges quadratically (precision
    // doubles at every iteration). We thus need at most 7 iteration to turn our partial result with one bit of
    // precision into the expected uint128 result.
    unchecked {
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;
        result = (result + x / result) >> 1;

        // If x is not a perfect square, round the result toward zero.
        uint256 roundedResult = x / result;
        if (result >= roundedResult) {
            result = roundedResult;
        }
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (common/access/OrigamiElevatedAccessBase.sol)

import { OrigamiElevatedAccessBase } from "contracts/common/access/OrigamiElevatedAccessBase.sol";

/**
 * @notice Inherit to add Owner roles for DAO elevated access.
 */ 
abstract contract OrigamiElevatedAccess is OrigamiElevatedAccessBase {
    constructor(address initialOwner) {
        _init(initialOwner);
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (common/access/OrigamiElevatedAccessBase.sol)

import { IOrigamiElevatedAccess } from "contracts/interfaces/common/access/IOrigamiElevatedAccess.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";

/**
 * @notice Inherit to add Owner roles for DAO elevated access.
 */ 
abstract contract OrigamiElevatedAccessBase is IOrigamiElevatedAccess {
    /**
     * @notice The address of the current owner.
     */ 
    address public override owner;

    /**
     * @notice Explicit approval for an address to execute a function.
     * allowedCaller => function selector => true/false
     */
    mapping(address => mapping(bytes4 => bool)) public override explicitFunctionAccess;

    /// @dev Track proposed owner
    address private _proposedNewOwner;

    /// @dev propose this as the new owner before revoking, for 2 step approval
    address private constant PROPOSED_DEAD_ADDRESS = 0x000000000000000000000000000000000000dEaD;

    function _init(address initialOwner) internal {
        if (owner != address(0)) revert CommonEventsAndErrors.InvalidAccess();
        if (initialOwner == address(0)) revert CommonEventsAndErrors.InvalidAddress(address(0));
        owner = initialOwner;
    }

    /**
     * @notice Revoke ownership. 
     * @dev To enforce a two-step revoke, it must first propose to 0x000...dEaD prior to calling.
     * This cannot be undone.
     */
    function revokeOwnership() external override onlyElevatedAccess {
        if (_proposedNewOwner != PROPOSED_DEAD_ADDRESS) revert CommonEventsAndErrors.InvalidAddress(_proposedNewOwner);

        emit NewOwnerAccepted(owner, address(0));
        owner = address(0);
    }

    /**
     * @notice Proposes a new Owner.
     * Can only be called by the current owner
     */
    function proposeNewOwner(address account) external override onlyElevatedAccess {
        if (account == address(0)) revert CommonEventsAndErrors.InvalidAddress(account);
        emit NewOwnerProposed(owner, _proposedNewOwner, account);
        _proposedNewOwner = account;
    }

    /**
     * @notice Caller accepts the role as new Owner.
     * Can only be called by the proposed owner
     */
    function acceptOwner() external override {
        if (msg.sender != _proposedNewOwner) revert CommonEventsAndErrors.InvalidAccess();

        emit NewOwnerAccepted(owner, msg.sender);
        owner = msg.sender;
        delete _proposedNewOwner;
    }

    /**
     * @notice Grant `allowedCaller` the rights to call the function selectors in the access list.
     * @dev fnSelector == bytes4(keccak256("fn(argType1,argType2,...)"))
     */
    function setExplicitAccess(address allowedCaller, ExplicitAccess[] calldata access) external override onlyElevatedAccess {
        if (allowedCaller == address(0)) revert CommonEventsAndErrors.InvalidAddress(allowedCaller);
        ExplicitAccess memory _access;
        for (uint256 i; i < access.length; ++i) {
            _access = access[i];
            emit ExplicitAccessSet(allowedCaller, _access.fnSelector, _access.allowed);
            explicitFunctionAccess[allowedCaller][_access.fnSelector] = _access.allowed;
        }
    }

    function isElevatedAccess(address caller, bytes4 fnSelector) internal view returns (bool) {
        return (
            caller == owner || 
            explicitFunctionAccess[caller][fnSelector]
        );
    }

    /**
     * @notice The owner is allowed to call, or if explicit access has been given to the caller.
     * @dev Important: Only for use when called from an *external* contract. 
     * If a function with this modifier is called internally then the `msg.sig` 
     * will still refer to the top level externally called function.
     */
    modifier onlyElevatedAccess() {
        if (!isElevatedAccess(msg.sender, msg.sig)) revert CommonEventsAndErrors.InvalidAccess();
        _;
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (common/access/Whitelisted.sol)

import { IWhitelisted } from "contracts/interfaces/common/access/IWhitelisted.sol";
import { OrigamiElevatedAccess } from "contracts/common/access/OrigamiElevatedAccess.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";

/**
 * @title Whitelisted abstract contract
 * @notice Functionality to deny non-EOA addresses unless whitelisted
 */
abstract contract Whitelisted is IWhitelisted, OrigamiElevatedAccess {
    /**
     * @notice Allow all (both EOAs and contracts) without whitelisting
     */
    bool public override allowAll;

    /**
     * @notice A mapping of whitelisted accounts (not required for EOAs)
     */
    mapping(address account => bool allowed) public override allowedAccounts;

    /**
     * @notice Allow all callers without whitelisting
     */
    function setAllowAll(bool value) external override onlyElevatedAccess {
        allowAll = value;
        emit AllowAllSet(value);
    }

    /**
     * @notice Set whether a given account is allowed or not
     */
    function setAllowAccount(address account, bool value) external override onlyElevatedAccess {
        if (account == address(0)) revert CommonEventsAndErrors.InvalidAddress(account);
        if (account.code.length == 0) revert CommonEventsAndErrors.InvalidAddress(account);

        allowedAccounts[account] = value;
        emit AllowAccountSet(account, value);
    }

    /**
     * @notice Returns false for contracts unless whitelisted, or until allowAll is set to true.
     * @dev This cannot block contracts which deposit within their constructor, but the goal is to minimise 3rd
     * party integrations. This will also deny contract based wallets (eg Gnosis Safe)
     */
    function _isAllowed(address account) internal view returns (bool) {
        if (allowAll) return true;

        // Note: If the account is a contract and access is checked within it's constructor
        // then this will still return true (unavoidable). This is just a deterrant for non-approved integrations, 
        // not intended as full protection.
        if (account.code.length == 0) return true;

        // Contracts need to be explicitly allowed
        return allowedAccounts[account];
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/access/IOrigamiElevatedAccess.sol)

/**
 * @notice Inherit to add Owner roles for DAO elevated access.
 */ 
interface IOrigamiElevatedAccess {
    event ExplicitAccessSet(address indexed account, bytes4 indexed fnSelector, bool indexed value);

    event NewOwnerProposed(address indexed oldOwner, address indexed oldProposedOwner, address indexed newProposedOwner);
    event NewOwnerAccepted(address indexed oldOwner, address indexed newOwner);

    struct ExplicitAccess {
        bytes4 fnSelector;
        bool allowed;
    }

    /**
     * @notice The address of the current owner.
     */ 
    function owner() external view returns (address);

    /**
     * @notice Explicit approval for an address to execute a function.
     * allowedCaller => function selector => true/false
     */
    function explicitFunctionAccess(address contractAddr, bytes4 functionSelector) external view returns (bool);

    /**
     * @notice Revoke ownership. Be very certain before calling this, as no
     * further elevated access can be called.
     */
    function revokeOwnership() external;

    /**
     * @notice Proposes a new Owner.
     * Can only be called by the current owner
     */
    function proposeNewOwner(address account) external;

    /**
     * @notice Caller accepts the role as new Owner.
     * Can only be called by the proposed owner
     */
    function acceptOwner() external;

    /**
     * @notice Grant `allowedCaller` the rights to call the function selectors in the access list.
     * @dev fnSelector == bytes4(keccak256("fn(argType1,argType2,...)"))
     */
    function setExplicitAccess(address allowedCaller, ExplicitAccess[] calldata access) external;
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/access/Whitelisted.sol)

/**
 * @title Whitelisted abstract contract
 * @notice Functionality to deny non-EOA addresses unless whitelisted
 */
interface IWhitelisted {
    event AllowAllSet(bool value);
    event AllowAccountSet(address indexed account, bool value);

    /**
     * @notice Allow all (both EOAs and contracts) without whitelisting
     */
    function allowAll() external view returns (bool);

    /**
     * @notice A mapping of whitelisted accounts (not required for EOAs)
     */
    function allowedAccounts(address account) external view returns (bool allowed);

    /**
     * @notice Allow all callers without whitelisting
     */
    function setAllowAll(bool value) external;

    /**
     * @notice Set whether a given account is allowed or not
     */
    function setAllowAccount(address account, bool value) external;
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/borrowAndLend/IOrigamiBorrowAndLend.sol)

/**
 * @notice An Origami abstraction over a borrow/lend money market for
 * a single `supplyToken` and a single `borrowToken`, for a given `positionOwner`
 */
interface IOrigamiBorrowAndLend {
    event PositionOwnerSet(address indexed account);
    event SurplusDebtReclaimed(uint256 amount, address indexed recipient);

    /**
     * @notice Set the position owner who can borrow/lend via this contract
     */
    function setPositionOwner(address account) external;

    /**
     * @notice Supply tokens as collateral
     */
    function supply(
        uint256 supplyAmount
    ) external;

    /**
     * @notice Withdraw collateral tokens to recipient
     * @dev Set `withdrawAmount` to type(uint256).max in order to withdraw the whole balance
     */
    function withdraw(
        uint256 withdrawAmount, 
        address recipient
    ) external returns (uint256 amountWithdrawn);

    /**
     * @notice Borrow tokens and send to recipient
     */
    function borrow(
        uint256 borrowAmount,
        address recipient
    ) external;

    /**
     * @notice Repay debt. 
     * @dev If `repayAmount` is set higher than the actual outstanding debt balance, it will be capped
     * to that outstanding debt balance
     * `debtRepaidAmount` return parameter will be capped to the outstanding debt balance.
     * Any surplus debtTokens (if debt fully repaid) will remain in this contract
     */
    function repay(
        uint256 repayAmount
    ) external returns (uint256 debtRepaidAmount);

    /**
     * @notice Repay debt and withdraw collateral in one step
     * @dev If `repayAmount` is set higher than the actual outstanding debt balance, it will be capped
     * to that outstanding debt balance
     * Set `withdrawAmount` to type(uint256).max in order to withdraw the whole balance
     * `debtRepaidAmount` return parameter will be capped to the outstanding debt amount.
     * Any surplus debtTokens (if debt fully repaid) will remain in this contract
     */
    function repayAndWithdraw(
        uint256 repayAmount, 
        uint256 withdrawAmount, 
        address recipient
    ) external returns (
        uint256 debtRepaidAmount,
        uint256 withdrawnAmount
    );

    /**
     * @notice Supply collateral and borrow in one step
     */
    function supplyAndBorrow(
        uint256 supplyAmount, 
        uint256 borrowAmount, 
        address recipient
    ) external;

    /**
     * @notice The approved owner of the borrow/lend position
     */
    function positionOwner() external view returns (address);

    /**
     * @notice The token supplied as collateral
     */
    function supplyToken() external view returns (address);

    /**
     * @notice The token which is borrowed
     */
    function borrowToken() external view returns (address);

    /**
     * @notice The current (manually tracked) balance of tokens supplied
     */
    function suppliedBalance() external view returns (uint256);

    /**
     * @notice The current debt balance of tokens borrowed
     */
    function debtBalance() external view returns (uint256);

    /**
     * @notice Whether a given Assets/Liabilities Ratio is safe, given the upstream
     * money market parameters
     */
    function isSafeAlRatio(uint256 alRatio) external view returns (bool);

    /**
     * @notice How many `supplyToken` are available to withdraw from collateral
     * from the entire protocol, assuming this contract has fully paid down its debt
     */
    function availableToWithdraw() external view returns (uint256);

    /**
     * @notice How much more capacity is available to supply
     */
    function availableToSupply() external view returns (
        uint256 supplyCap,
        uint256 available
    );

    /**
     * @notice How many `borrowToken` are available to borrow
     * from the entire protocol
     */
    function availableToBorrow() external view returns (uint256);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/borrowAndLend/IOrigamiMorphoBorrowAndLend.sol)

import { IOrigamiBorrowAndLend } from "contracts/interfaces/common/borrowAndLend/IOrigamiBorrowAndLend.sol";
import { IMorpho, Id as MorphoMarketId, MarketParams as MorphoMarketParams } from "@morpho-org/morpho-blue/src/interfaces/IMorpho.sol";
import { IOrigamiSwapper } from "contracts/interfaces/common/swappers/IOrigamiSwapper.sol";

/**
 * @notice An Origami abstraction over a borrow/lend money market for
 * a single `supplyToken` and a single `borrowToken`.
 * This is a Morpho specific interface
 */
interface IOrigamiMorphoBorrowAndLend is IOrigamiBorrowAndLend {
    event MaxSafeLtvSet(uint256 _maxSafeLtv);
    event SwapperSet(address indexed swapper);

    /**
     * @notice Set the max LTV we will allow when borrowing or withdrawing collateral.
     * @dev The morpho LTV is the liquidation LTV only, we don't want to allow up to that limit
     */
    function setMaxSafeLtv(uint256 _maxSafeLtv) external;

    /**
     * @notice Set the swapper responsible for `borrowToken` <--> `supplyToken` swaps
     */
    function setSwapper(address _swapper) external;

    /**
     * @notice Increase the leverage of the existing position, by supplying `supplyToken` as collateral
     * and borrowing `borrowToken` and swapping that back to `supplyToken`
     * @dev The totalCollateralSupplied may include any surplus after swapping from the debt to collateral
     */
    function increaseLeverage(
        uint256 supplyCollateralAmount,
        uint256 borrowAmount,
        bytes memory swapData,
        uint256 supplyCollateralSurplusThreshold
    ) external returns (uint256 totalCollateralSupplied);

    /**
     * @notice Decrease the leverage of the existing position, by repaying `borrowToken`
     * and withdrawing `supplyToken` collateral then swapping that back to `borrowToken`
     */
    function decreaseLeverage(
        uint256 repayAmount,
        uint256 withdrawCollateralAmount,
        bytes memory swapData,
        uint256 repaySurplusThreshold
    ) external returns  (
        uint256 debtRepaidAmount, 
        uint256 surplusDebtRepaid
    );

    /**
     * @notice The morpho singleton contract
     */
    function morpho() external view returns (IMorpho);

    /**
     * @notice The Morpho oracle used for the target market
     */
    function morphoMarketOracle() external view returns (address);

    /**
     * @notice The Morpho Interest Rate Model used for the target market
     */
    function morphoMarketIrm() external view returns (address);

    /**
     * @notice The Morpho Liquidation LTV for the target market
     */
    function morphoMarketLltv() external view returns (uint96);

    /**
     * @notice The Morpho market parameters
     */
    function getMarketParams() external view returns (MorphoMarketParams memory);

    /**
     * @notice The derived Morpho market ID given the market parameters
     */
    function marketId() external view returns (MorphoMarketId);

    /**
     * @notice The max LTV we will allow when borrowing or withdrawing collateral.
     * @dev The morpho LTV is the liquidation LTV only, we don't want to allow up to that limit
     */
    function maxSafeLtv() external view returns (uint256);
    
    /**
     * @notice The swapper for `borrowToken` <--> `supplyToken`
     */
    function swapper() external view returns (IOrigamiSwapper);

    /**
     * @notice Returns the curent Morpho position data
     */
    function debtAccountData() external view returns (
        uint256 collateral,
        uint256 collateralPrice,
        uint256 borrowed,
        uint256 maxBorrow,
        uint256 currentLtv,
        uint256 healthFactor
    );
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/ITokenPrices.sol)

/// @title Token Prices
/// @notice A utility contract to pull token prices from on-chain.
/// @dev composable functions (uisng encoded function calldata) to build up price formulas
interface ITokenPrices {
    /// @notice How many decimals places are the token prices reported in
    function decimals() external view returns (uint8);

    /// @notice Retrieve the price for a given token.
    /// @dev If not mapped, or an underlying error occurs, FailedPriceLookup will be thrown.
    /// @dev 0x000...0 is the native chain token (ETH/AVAX/etc)
    function tokenPrice(address token) external view returns (uint256 price);

    /// @notice Retrieve the price for a list of tokens.
    /// @dev If any aren't mapped, or an underlying error occurs, FailedPriceLookup will be thrown.
    /// @dev Not particularly gas efficient - wouldn't recommend to use on-chain
    function tokenPrices(address[] memory tokens) external view returns (uint256[] memory prices);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/oracle/IOrigamiOracle.sol)

import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";

/**
 * @notice An oracle which returns prices for pairs of assets, where an asset
 * could refer to a token (eg DAI) or a currency (eg USD)
 * Convention is the same as the FX market. Given the DAI/USD pair:
 *   - DAI = Base Asset (LHS of pair)
 *   - USD = Quote Asset (RHS of pair)
 * This price defines how many USD you get if selling 1 DAI
 *
 * Further, an oracle can define two PriceType's:
 *   - SPOT_PRICE: The latest spot price, for example from a chainlink oracle
 *   - HISTORIC_PRICE: An expected (eg 1:1 peg) or calculated historic price (eg TWAP)
 *
 * For assets which do are not tokens (eg USD), an internal address reference will be used
 * since this is for internal purposes only
 */
interface IOrigamiOracle {
    error InvalidPrice(address oracle, int256 price);
    error InvalidOracleData(address oracle);
    error StalePrice(address oracle, uint256 lastUpdatedAt, int256 price);
    error UnknownPriceType(uint8 priceType);
    error BelowMinValidRange(address oracle, uint256 price, uint128 floor);
    error AboveMaxValidRange(address oracle, uint256 price, uint128 ceiling);

    event ValidPriceRangeSet(uint128 validFloor, uint128 validCeiling);

    enum PriceType {
        /// @notice The current spot price of this Oracle
        SPOT_PRICE,

        /// @notice The historic price of this Oracle. 
        /// It may be a fixed expectation (eg DAI/USD would be fixed to 1)
        /// or use a TWAP or some other moving average, etc.
        HISTORIC_PRICE
    }

    /**
     * @dev Wrapped in a struct to remove stack-too-deep constraints
     */
    struct BaseOracleParams {
        string description;
        address baseAssetAddress;
        uint8 baseAssetDecimals;
        address quoteAssetAddress;
        uint8 quoteAssetDecimals;
    }

    /**
     * @notice The address used to reference the baseAsset for amount conversions
     */
    function baseAsset() external view returns (address);

    /**
     * @notice The address used to reference the quoteAsset for amount conversions
     */
    function quoteAsset() external view returns (address);

    /**
     * @notice The number of decimals of precision the price is returned as
     */
    function decimals() external view returns (uint8);

    /**
     * @notice The precision that the cross rate oracle price is returned as: `10^decimals`
     */
    function precision() external view returns (uint256);

    /**
     * @notice When converting from baseAsset<->quoteAsset, the fixed point amounts
     * need to be scaled by this amount.
     */
    function assetScalingFactor() external view returns (uint256);

    /**
     * @notice A human readable description for this oracle
     */
    function description() external view returns (string memory);

    /**
     * @notice Return the latest oracle price, to `decimals` precision
     * @dev This may still revert - eg if deemed stale, div by 0, negative price
     * @param priceType What kind of price - Spot or Historic
     * @param roundingMode Round the price at each intermediate step such that the final price rounds in the specified direction.
     */
    function latestPrice(
        PriceType priceType, 
        OrigamiMath.Rounding roundingMode
    ) external view returns (uint256 price);

    /**
     * @notice Same as `latestPrice()` but for two separate prices from this oracle	
     */
    function latestPrices(
        PriceType priceType1, 
        OrigamiMath.Rounding roundingMode1,
        PriceType priceType2, 
        OrigamiMath.Rounding roundingMode2
    ) external view returns (
        uint256 price1, 
        uint256 price2, 
        address oracleBaseAsset,
        address oracleQuoteAsset
    );

    /**
     * @notice Convert either the baseAsset->quoteAsset or quoteAsset->baseAsset
     * @dev The `fromAssetAmount` needs to be in it's natural fixed point precision (eg USDC=6dp)
     * The `toAssetAmount` will also be returned in it's natural fixed point precision
     */
    function convertAmount(
        address fromAsset,
        uint256 fromAssetAmount,
        PriceType priceType,
        OrigamiMath.Rounding roundingMode
    ) external view returns (uint256 toAssetAmount);

    /**
     * @notice Match whether a pair of assets match the base and quote asset on this oracle, in either order
     */
    function matchAssets(address asset1, address asset2) external view returns (bool);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/swappers/IOrigamiSwapper.sol)

import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";

/**
 * @notice An on chain swapper contract to integrate with the 1Inch router | 0x proxy, 
 * possibly others which obtain quote calldata offchain and then execute via a low level call
 * to perform the swap onchain
 */
interface IOrigamiSwapper {
    error UnknownSwapError(bytes result);
    error InvalidSwap();
    error InvalidRouter(address router);

    event Swap(address indexed sellToken, uint256 sellTokenAmount, address indexed buyToken, uint256 buyTokenAmount);
    event RouterWhitelisted(address indexed router, bool allowed);

    /**
     * @notice Pull tokens from sender then execute the swap
     */
    function execute(
        IERC20 sellToken, 
        uint256 sellTokenAmount, 
        IERC20 buyToken,
        bytes memory swapData
    ) external returns (uint256 buyTokenAmount);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/investments/IOrigamiInvestment.sol)

import { IERC20Metadata } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import { IERC20Permit } from "@openzeppelin/contracts/token/ERC20/extensions/draft-IERC20Permit.sol";

/**
 * @title Origami Investment
 * @notice Users invest in the underlying protocol and receive a number of this Origami investment in return.
 * Origami will apply the accepted investment token into the underlying protocol in the most optimal way.
 */
interface IOrigamiInvestment is IERC20Metadata, IERC20Permit {
    event TokenPricesSet(address indexed _tokenPrices);
    event ManagerSet(address indexed manager);
    event PerformanceFeeSet(uint256 fee);
    
    /**
     * @notice Track the depoyed version of this contract. 
     */
    function apiVersion() external pure returns (string memory);

    /**
     * @notice The underlying token this investment wraps. 
     * @dev For informational purposes only, eg integrations/FE
     * If the investment wraps a protocol without an ERC20 (eg a non-liquid staked position)
     * then this may be 0x0
     */
    function baseToken() external view returns (address);

    /** 
     * @notice Emitted when a user makes a new investment
     * @param user The user who made the investment
     * @param fromTokenAmount The number of `fromToken` used to invest
     * @param fromToken The token used to invest, one of `acceptedInvestTokens()`
     * @param investmentAmount The number of investment tokens received, after fees
     **/
    event Invested(address indexed user, uint256 fromTokenAmount, address indexed fromToken, uint256 investmentAmount);

    /**
     * @notice Emitted when a user exists a position in an investment
     * @param user The user who exited the investment
     * @param investmentAmount The number of Origami investment tokens sold
     * @param toToken The token the user exited into
     * @param toTokenAmount The number of `toToken` received, after fees
     * @param recipient The receipient address of the `toToken`s
     **/
    event Exited(address indexed user, uint256 investmentAmount, address indexed toToken, uint256 toTokenAmount, address indexed recipient);

    /// @notice Errors for unsupported functions - for example if native chain ETH/AVAX/etc isn't a vaild investment
    error Unsupported();

    /**
     * @notice The set of accepted tokens which can be used to invest.
     * If the native chain ETH/AVAX is accepted, 0x0 will also be included in this list.
     */
    function acceptedInvestTokens() external view returns (address[] memory);

    /**
     * @notice The set of accepted tokens which can be used to exit into.
     * If the native chain ETH/AVAX is accepted, 0x0 will also be included in this list.
     */
    function acceptedExitTokens() external view returns (address[] memory);

    /**
     * @notice Whether new investments are paused.
     */
    function areInvestmentsPaused() external view returns (bool);

    /**
     * @notice Whether exits are temporarily paused.
     */
    function areExitsPaused() external view returns (bool);

    /**
     * @notice Quote data required when entering into this investment.
     */
    struct InvestQuoteData {
        /// @notice The token used to invest, which must be one of `acceptedInvestTokens()`
        address fromToken;

        /// @notice The quantity of `fromToken` to invest with
        uint256 fromTokenAmount;

        /// @notice The maximum acceptable slippage of the `expectedInvestmentAmount`
        uint256 maxSlippageBps;

        /// @notice The maximum deadline to execute the transaction.
        uint256 deadline;

        /// @notice The expected amount of this Origami Investment token to receive in return
        uint256 expectedInvestmentAmount;

        /// @notice The minimum amount of this Origami Investment Token to receive after
        /// slippage has been applied.
        uint256 minInvestmentAmount;

        /// @notice Any extra quote parameters required by the underlying investment
        bytes underlyingInvestmentQuoteData;
    }

    /**
     * @notice Quote data required when exoomg this investment.
     */
    struct ExitQuoteData {
        /// @notice The amount of this investment to sell
        uint256 investmentTokenAmount;

        /// @notice The token to sell into, which must be one of `acceptedExitTokens()`
        address toToken;

        /// @notice The maximum acceptable slippage of the `expectedToTokenAmount`
        uint256 maxSlippageBps;

        /// @notice The maximum deadline to execute the transaction.
        uint256 deadline;

        /// @notice The expected amount of `toToken` to receive in return
        /// @dev Note slippage is applied to this when calling `invest()`
        uint256 expectedToTokenAmount;

        /// @notice The minimum amount of `toToken` to receive after
        /// slippage has been applied.
        uint256 minToTokenAmount;

        /// @notice Any extra quote parameters required by the underlying investment
        bytes underlyingInvestmentQuoteData;
    }

    /**
     * @notice Get a quote to buy this Origami investment using one of the accepted tokens. 
     * @dev The 0x0 address can be used for native chain ETH/AVAX
     * @param fromTokenAmount How much of `fromToken` to invest with
     * @param fromToken What ERC20 token to purchase with. This must be one of `acceptedInvestTokens`
     * @param maxSlippageBps The maximum acceptable slippage of the received investment amount
     * @param deadline The maximum deadline to execute the exit.
     * @return quoteData The quote data, including any params required for the underlying investment type.
     * @return investFeeBps Any fees expected when investing with the given token, either from Origami or from the underlying investment.
     */
    function investQuote(
        uint256 fromTokenAmount, 
        address fromToken,
        uint256 maxSlippageBps,
        uint256 deadline
    ) external view returns (
        InvestQuoteData memory quoteData, 
        uint256[] memory investFeeBps
    );

    /** 
      * @notice User buys this Origami investment with an amount of one of the approved ERC20 tokens. 
      * @param quoteData The quote data received from investQuote()
      * @return investmentAmount The actual number of this Origami investment tokens received.
      */
    function investWithToken(
        InvestQuoteData calldata quoteData
    ) external returns (
        uint256 investmentAmount
    );

    /** 
      * @notice User buys this Origami investment with an amount of native chain token (ETH/AVAX)
      * @param quoteData The quote data received from investQuote()
      * @return investmentAmount The actual number of this Origami investment tokens received.
      */
    function investWithNative(
        InvestQuoteData calldata quoteData
    ) external payable returns (
        uint256 investmentAmount
    );

    /**
     * @notice Get a quote to sell this Origami investment to receive one of the accepted tokens.
     * @dev The 0x0 address can be used for native chain ETH/AVAX
     * @param investmentAmount The number of Origami investment tokens to sell
     * @param toToken The token to receive when selling. This must be one of `acceptedExitTokens`
     * @param maxSlippageBps The maximum acceptable slippage of the received `toToken`
     * @param deadline The maximum deadline to execute the exit.
     * @return quoteData The quote data, including any params required for the underlying investment type.
     * @return exitFeeBps Any fees expected when exiting the investment to the nominated token, either from Origami or from the underlying investment.
     */
    function exitQuote(
        uint256 investmentAmount,
        address toToken,
        uint256 maxSlippageBps,
        uint256 deadline
    ) external view returns (
        ExitQuoteData memory quoteData, 
        uint256[] memory exitFeeBps
    );

    /** 
      * @notice Sell this Origami investment to receive one of the accepted tokens.
      * @param quoteData The quote data received from exitQuote()
      * @param recipient The receiving address of the `toToken`
      * @return toTokenAmount The number of `toToken` tokens received upon selling the Origami investment tokens.
      */
    function exitToToken(
        ExitQuoteData calldata quoteData,
        address recipient
    ) external returns (
        uint256 toTokenAmount
    );

    /** 
      * @notice Sell this Origami investment to native ETH/AVAX.
      * @param quoteData The quote data received from exitQuote()
      * @param recipient The receiving address of the native chain token.
      * @return nativeAmount The number of native chain ETH/AVAX/etc tokens received upon selling the Origami investment tokens.
      */
    function exitToNative(
        ExitQuoteData calldata quoteData, 
        address payable recipient
    ) external returns (
        uint256 nativeAmount
    );

    /**
     * @notice The maximum amount of fromToken's that can be deposited
     * taking any other underlying protocol constraints into consideration
     */
    function maxInvest(address fromToken) external view returns (uint256 amount);

    /**
     * @notice The maximum amount of tokens that can be exited into the toToken
     * taking any other underlying protocol constraints into consideration
     */
    function maxExit(address toToken) external view returns (uint256 amount);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/investments/IOrigamiOTokenManager.sol)

import { IOrigamiInvestment } from "contracts/interfaces/investments/IOrigamiInvestment.sol";
import { IOrigamiManagerPausable } from "contracts/interfaces/investments/util/IOrigamiManagerPausable.sol";
import { DynamicFees } from "contracts/libraries/DynamicFees.sol";

/**
 * @title Origami oToken Manager (no native ETH/AVAX/etc)
 * @notice The delegated logic to handle deposits/exits into an oToken, and allocating the deposit tokens
 * into the underlying protocol
 */
interface IOrigamiOTokenManager is IOrigamiManagerPausable {
    event InKindFees(DynamicFees.FeeType feeType, uint256 feeBps, uint256 feeAmount);
    
    /**
     * @notice The underlying token this investment wraps. 
     * @dev For informational purposes only, eg integrations/FE
     */
    function baseToken() external view returns (address);

    /**
     * @notice The set of accepted tokens which can be used to invest.
     */
    function acceptedInvestTokens() external view returns (address[] memory);

    /**
     * @notice The set of accepted tokens which can be used to exit into.
     */
    function acceptedExitTokens() external view returns (address[] memory);

    /**
     * @notice Whether new investments are paused.
     */
    function areInvestmentsPaused() external view returns (bool);

    /**
     * @notice Whether exits are temporarily paused.
     */
    function areExitsPaused() external view returns (bool);

    /**
     * @notice Get a quote to buy this oToken using one of the accepted tokens. 
     * @param fromTokenAmount How much of `fromToken` to invest with
     * @param fromToken What ERC20 token to purchase with. This must be one of `acceptedInvestTokens`
     * @param maxSlippageBps The maximum acceptable slippage of the received investment amount
     * @param deadline The maximum deadline to execute the exit.
     * @return quoteData The quote data, including any params required for the underlying investment type.
     * @return investFeeBps Any fees expected when investing with the given token, either from Origami or from the underlying investment.
     */
    function investQuote(
        uint256 fromTokenAmount, 
        address fromToken,
        uint256 maxSlippageBps,
        uint256 deadline
    ) external view returns (
        IOrigamiInvestment.InvestQuoteData memory quoteData, 
        uint256[] memory investFeeBps
    );

    /** 
      * @notice User buys this Origami investment with an amount of one of the approved ERC20 tokens. 
      * @param account The account to deposit on behalf of
      * @param quoteData The quote data received from investQuote()
      * @return investmentAmount The actual number of this Origami investment tokens received.
      */
    function investWithToken(
        address account,
        IOrigamiInvestment.InvestQuoteData calldata quoteData
    ) external returns (
        uint256 investmentAmount
    );

    /**
     * @notice Get a quote to sell this oToken to receive one of the accepted tokens.
     * @param investmentAmount The number of oTokens to sell
     * @param toToken The token to receive when selling. This must be one of `acceptedExitTokens`
     * @param maxSlippageBps The maximum acceptable slippage of the received `toToken`
     * @param deadline The maximum deadline to execute the exit.
     * @return quoteData The quote data, including any params required for the underlying investment type.
     * @return exitFeeBps Any fees expected when exiting the investment to the nominated token, either from Origami or from the underlying protocol.
     */
    function exitQuote(
        uint256 investmentAmount,
        address toToken,
        uint256 maxSlippageBps,
        uint256 deadline
    ) external view returns (
        IOrigamiInvestment.ExitQuoteData memory quoteData, 
        uint256[] memory exitFeeBps
    );

    /** 
      * @notice Sell this oToken to receive one of the accepted tokens. 
      * @param account The account to exit on behalf of
      * @param quoteData The quote data received from exitQuote()
      * @param recipient The receiving address of the `toToken`
      * @return toTokenAmount The number of `toToken` tokens received upon selling the oToken
      * @return toBurnAmount The number of oToken to be burnt after exiting this position
      */
    function exitToToken(
        address account,
        IOrigamiInvestment.ExitQuoteData calldata quoteData,
        address recipient
    ) external returns (uint256 toTokenAmount, uint256 toBurnAmount);

    /**
     * @notice The maximum amount of fromToken's that can be deposited
     * taking any other underlying protocol constraints into consideration
     */
    function maxInvest(address fromToken) external view returns (uint256 amount);

    /**
     * @notice The maximum amount of tokens that can be exited into the toToken
     * taking any other underlying protocol constraints into consideration
     */
    function maxExit(address toToken) external view returns (uint256 amount);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/investments/lovToken/IOrigamiLovToken.sol)

import { IOrigamiOTokenManager } from "contracts/interfaces/investments/IOrigamiOTokenManager.sol";
import { IOrigamiInvestment } from "contracts/interfaces/investments/IOrigamiInvestment.sol";
import { ITokenPrices } from "contracts/interfaces/common/ITokenPrices.sol";

/**
 * @title Origami lovToken
 * 
 * @notice Users deposit with an accepted token and are minted lovTokens
 * Origami will rebalance to lever up on the underlying reserve token, targetting a
 * specific A/L (assets / liabilities) range
 *
 * @dev The logic on how to handle the specific deposits/exits for each lovToken is delegated
 * to a manager contract
 */
interface IOrigamiLovToken is IOrigamiInvestment {
    event PerformanceFeesCollected(address indexed feeCollector, uint256 mintAmount);
    event FeeCollectorSet(address indexed feeCollector);
    event MaxTotalSupplySet(uint256 maxTotalSupply);

    /**
     * @notice The token used to track reserves for this investment
     */
    function reserveToken() external view returns (address);

    /**
     * @notice The Origami contract managing the deposits/exits and the application of
     * the deposit tokens into the underlying protocol
     */
    function manager() external view returns (IOrigamiOTokenManager);

    /**
     * @notice Set the Origami lovToken Manager.
     */
    function setManager(address _manager) external;

    /**
     * @notice Set the vault performance fee
     * @dev Represented in basis points
     */
    function setAnnualPerformanceFee(uint48 _annualPerformanceFeeBps) external;

    /**
     * @notice Set the max total supply allowed for investments into this lovToken
     */
    function setMaxTotalSupply(uint256 _maxTotalSupply) external;

    /**
     * @notice Set the Origami performance fee collector address
     */
    function setFeeCollector(address _feeCollector) external;
    
    /**
     * @notice Set the helper to calculate current off-chain/subgraph integration
     */
    function setTokenPrices(address _tokenPrices) external;

    /** 
     * @notice Collect the performance fees to the Origami Treasury
     */
    function collectPerformanceFees() external returns (uint256 amount);

    /**
     * @notice How many reserve tokens would one get given a number of lovToken shares
     * @dev Implementations must use the Oracle 'SPOT_PRICE' to value any debt in terms of the reserve token
     */
    function sharesToReserves(uint256 shares) external view returns (uint256);

    /**
     * @notice How many lovToken shares would one get given a number of reserve tokens
     * @dev Implementations must use the Oracle 'SPOT_PRICE' to value any debt in terms of the reserve token
     */
    function reservesToShares(uint256 reserves) external view returns (uint256);

    /**
     * @notice How many reserve tokens would one get given a single share, as of now
     * @dev Implementations must use the Oracle 'HISTORIC_PRICE' to value any debt in terms of the reserve token
     */
    function reservesPerShare() external view returns (uint256);
    
    /**
     * @notice The current amount of available reserves for redemptions
     * @dev Implementations must use the Oracle 'SPOT_PRICE' to value any debt in terms of the reserve token
     */
    function totalReserves() external view returns (uint256);

    /**
     * @notice The maximum allowed supply of this token for user investments
     * @dev The actual totalSupply() may be greater than `maxTotalSupply`
     * in order to start organically shrinking supply or from performance fees
     */
    function maxTotalSupply() external view returns (uint256);

    /**
     * @notice Retrieve the current assets, liabilities and calculate the ratio
     * @dev Implementations must use the Oracle 'SPOT_PRICE' to value any debt in terms of the reserve token
     */
    function assetsAndLiabilities() external view returns (
        uint256 assets,
        uint256 liabilities,
        uint256 ratio
    );

    /**
     * @notice The current effective exposure (EE) of this lovToken
     * to `PRECISION` precision
     * @dev = reserves / (reserves - liabilities)
     * Implementations must use the Oracle 'SPOT_PRICE' to value any debt in terms of the reserve token
     */
    function effectiveExposure() external view returns (uint128);

    /**
     * @notice The valid lower and upper bounds of A/L allowed when users deposit/exit into lovToken
     * @dev Transactions will revert if the resulting A/L is outside of this range
     */
    function userALRange() external view returns (uint128 floor, uint128 ceiling);

    /**
     * @notice The current deposit and exit fee based on market conditions.
     * Fees are the equivalent of burning lovToken shares - benefit remaining vault users
     * @dev represented in basis points
     */
    function getDynamicFeesBps() external view returns (uint256 depositFeeBps, uint256 exitFeeBps);

    /**
     * @notice The address used to collect the Origami performance fees.
     */
    function feeCollector() external view returns (address);

    /**
     * @notice The annual performance fee to Origami treasury
     * Represented in basis points
     */
    function annualPerformanceFeeBps() external view returns (uint48);

    /**
     * @notice The last time the performance fee was collected
     */
    function lastPerformanceFeeTime() external view returns (uint48);

    /**
     * @notice The helper contract to retrieve Origami USD prices
     * @dev Required for off-chain/subgraph integration
     */
    function tokenPrices() external view returns (ITokenPrices);

    /**
     * @notice The performance fee amount which would be collected as of now, 
     * based on the total supply
     */
    function accruedPerformanceFee() external view returns (uint256);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/investments/lovToken/managers/IOrigamiLovTokenManager.sol)

import { IOrigamiOTokenManager } from "contracts/interfaces/investments/IOrigamiOTokenManager.sol";
import { IWhitelisted } from "contracts/interfaces/common/access/IWhitelisted.sol";
import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { IOrigamiLovToken } from "contracts/interfaces/investments/lovToken/IOrigamiLovToken.sol";

/**
 * @title Origami lovToken Manager
 * @notice The delegated logic to handle deposits/exits, and borrow/repay (rebalances) into the underlying reserve token
 */
interface IOrigamiLovTokenManager is IOrigamiOTokenManager, IWhitelisted {
    event FeeConfigSet(uint16 maxExitFeeBps, uint16 minExitFeeBps, uint24 feeLeverageFactor);

    event UserALRangeSet(uint128 floor, uint128 ceiling);
    event RebalanceALRangeSet(uint128 floor, uint128 ceiling);

    event Rebalance(
        /// @dev positive when Origami supplies the `reserveToken` as new collateral, negative when Origami withdraws collateral
        /// Represented in the units of the `reserveToken` of this lovToken
        int256 collateralChange,

        /// @dev positive when Origami borrows new debt, negative when Origami repays debt
        /// Represented in the units of the `debtToken` of this lovToken
        int256 debtChange,

        /// @dev The Assets/Liabilities ratio before the rebalance
        uint256 alRatioBefore,

        /// @dev The Assets/Liabilities ratio after the rebalance
        uint256 alRatioAfter
    );
    
    error ALTooLow(uint128 ratioBefore, uint128 ratioAfter, uint128 minRatio);
    error ALTooHigh(uint128 ratioBefore, uint128 ratioAfter, uint128 maxRatio);
    error NoAvailableReserves();

    /**
     * @notice Set the minimum fee (in basis points) of lovToken's for deposit and exit,
     * and also the nominal leverage factor applied within the fee calculations
     * @dev feeLeverageFactor has 4dp precision
     */
    function setFeeConfig(uint16 _minDepositFeeBps, uint16 _minExitFeeBps, uint24 _feeLeverageFactor) external;

    /**
     * @notice Set the valid lower and upper bounds of A/L when users deposit/exit into lovToken
     */
    function setUserALRange(uint128 floor, uint128 ceiling) external;

    /**
     * @notice Set the valid range for when a rebalance is not required.
     */
    function setRebalanceALRange(uint128 floor, uint128 ceiling) external;

    /**
     * @notice lovToken contract - eg lovDSR
     */
    function lovToken() external view returns (IOrigamiLovToken);

    /**
     * @notice The min deposit/exit fee and feeLeverageFactor configuration
     * @dev feeLeverageFactor has 4dp precision
     */
    function getFeeConfig() external view returns (uint64 minDepositFeeBps, uint64 minExitFeeBps, uint64 feeLeverageFactor);

    /**
     * @notice The current deposit and exit fee based on market conditions.
     * Fees are the equivalent of burning lovToken shares - benefit remaining vault users
     * @dev represented in basis points
     */
    function getDynamicFeesBps() external view returns (uint256 depositFeeBps, uint256 exitFeeBps);

    /**
     * @notice The valid lower and upper bounds of A/L allowed when users deposit/exit into lovToken
     * @dev Transactions will revert if the resulting A/L is outside of this range
     */
    function userALRange() external view returns (uint128 floor, uint128 ceiling);

    /**
     * @notice The valid range for when a rebalance is not required.
     * When a rebalance occurs, the transaction will revert if the resulting A/L is outside of this range.
     */
    function rebalanceALRange() external view returns (uint128 floor, uint128 ceiling);

    /**
     * @notice The common precision used
     */
    function PRECISION() external view returns (uint256);
    
    /**
     * @notice The reserveToken that the lovToken levers up on
     */
    function reserveToken() external view returns (address);

    /**
     * @notice The token which lovToken borrows to increase the A/L ratio
     */
    function debtToken() external view returns (address);
    
    /**
     * @notice The total balance of reserve tokens this lovToken holds, and also if deployed as collateral
     * in other platforms
     */
    function reservesBalance() external view returns (uint256); 

    /**
     * @notice The debt of the lovToken from the borrower, converted into the reserveToken
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function liabilities(IOrigamiOracle.PriceType debtPriceType) external view returns (uint256);

    /**
     * @notice The current asset/liability (A/L) of this lovToken
     * to `PRECISION` precision
     * @dev = reserves / liabilities
     */
    function assetToLiabilityRatio() external view returns (uint128);

    /**
     * @notice Retrieve the current assets, liabilities and calculate the ratio
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function assetsAndLiabilities(IOrigamiOracle.PriceType debtPriceType) external view returns (
        uint256 assets,
        uint256 liabilities,
        uint256 ratio
    );

    /**
     * @notice The current effective exposure (EE) of this lovToken
     * to `PRECISION` precision
     * @dev = reserves / (reserves - liabilities)
     * Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function effectiveExposure(IOrigamiOracle.PriceType debtPriceType) external view returns (uint128);

    /**
     * @notice The amount of reserves that users may redeem their lovTokens as of this block
     * @dev = reserves - liabilities
     * Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function userRedeemableReserves(IOrigamiOracle.PriceType debtPriceType) external view returns (uint256);

    /**
     * @notice How many reserve tokens would one get given a number of lovToken shares
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function sharesToReserves(uint256 shares, IOrigamiOracle.PriceType debtPriceType) external view returns (uint256);

    /**
     * @notice How many lovToken shares would one get given a number of reserve tokens
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function reservesToShares(uint256 reserves, IOrigamiOracle.PriceType debtPriceType) external view returns (uint256);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/investments/lovToken/managers/IOrigamiLovTokenMorphoManager.sol)

import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { IOrigamiLovTokenManager } from "contracts/interfaces/investments/lovToken/managers/IOrigamiLovTokenManager.sol";
import { IOrigamiMorphoBorrowAndLend } from "contracts/interfaces/common/borrowAndLend/IOrigamiMorphoBorrowAndLend.sol";

/**
 * @title Origami LovToken Manager, for use with Morpho markets
 * @notice The `reserveToken` is deposited by users and supplied into Morpho as collateral
 * Upon a rebalanceDown (to decrease the A/L), the position is levered up
 */
interface IOrigamiLovTokenMorphoManager is IOrigamiLovTokenManager {
    event OraclesSet(address indexed debtTokenToReserveTokenOracle, address indexed dynamicFeePriceOracle);
    event BorrowLendSet(address indexed addr);

    /**
     * @notice Set the `reserveToken` <--> `debtToken` oracle configuration 
     */
    function setOracles(address _debtTokenToReserveTokenOracle, address _dynamicFeePriceOracle) external;

    /**
     * @notice Set the Origami Borrow/Lend position holder
     */
    function setBorrowLend(address _address) external;

    struct RebalanceUpParams {
        // The amount of `debtToken` to repay
        uint256 repayAmount;

        // The amount of `reserveToken` collateral to withdraw
        uint256 withdrawCollateralAmount;

        // The swap quote data to swap from `reserveToken` -> `debtToken`
        bytes swapData;

        // The min balance threshold for when surplus balance of `debtToken` is
        // repaid to the Morpho position
        uint256 repaySurplusThreshold;

        // The minimum acceptable A/L, will revert if below this
        uint128 minNewAL;

        // The maximum acceptable A/L, will revert if above this
        uint128 maxNewAL;
    }

    /**
     * @notice Increase the A/L by reducing liabilities.
     * Uses Morpho's callback mechanism to efficiently lever up
     */
    function rebalanceUp(RebalanceUpParams calldata params) external;

    /**
     * @notice Force a rebalanceUp ignoring A/L ceiling/floor
     * @dev Separate function to above to have stricter control on who can force
     */
    function forceRebalanceUp(RebalanceUpParams calldata params) external;

    struct RebalanceDownParams {
        // The amount of `reserveToken` collateral to supply
        uint256 supplyAmount;

        // The amount of `debtToken` to borrow
        uint256 borrowAmount;
        
        // The swap quote data to swap from `debtToken` -> `reserveToken`
        bytes swapData;

        // The min balance threshold for when surplus balance of `reserveToken` is added as
        // collateral to the Morpho position
        uint256 supplyCollateralSurplusThreshold;
        
        // The minimum acceptable A/L, will revert if below this
        uint128 minNewAL;

        // The maximum acceptable A/L, will revert if above this
        uint128 maxNewAL;
    }

    /**
     * @notice Decrease the A/L by increasing liabilities. 
     * Uses Morpho's callback mechanism to efficiently lever up
     */
    function rebalanceDown(RebalanceDownParams calldata params) external;

    /**
     * @notice Force a rebalanceDown ignoring A/L ceiling/floor
     * @dev Separate function to above to have stricter control on who can force
     */
    function forceRebalanceDown(RebalanceDownParams calldata params) external;

    /**
     * @notice The contract responsible for borrow/lend via external markets
     */
    function borrowLend() external view returns (IOrigamiMorphoBorrowAndLend);

    /**
     * @notice The oracle to convert `debtToken` <--> `reserveToken`
     */
    function debtTokenToReserveTokenOracle() external view returns (IOrigamiOracle);

    /**
     * @notice The base asset used when retrieving the prices for dynamic fee calculations.
     */
    function dynamicFeeOracleBaseToken() external view returns (address);

    /**
     * @notice The oracle to use when observing prices which are used for the dynamic fee calculations
     */
    function dynamicFeePriceOracle() external view returns (IOrigamiOracle);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/investments/util/IOrigamiManagerPausable.sol)

/**
 * @title A mixin to add pause/unpause for Origami manager contracts
 */
interface IOrigamiManagerPausable {
    struct Paused {
        bool investmentsPaused;
        bool exitsPaused;
    }

    event PauserSet(address indexed account, bool canPause);
    event PausedSet(Paused paused);

    /// @notice A set of accounts which are allowed to pause deposits/withdrawals immediately
    /// under emergency
    function pausers(address) external view returns (bool);

    /// @notice Pause/unpause deposits or withdrawals
    /// @dev Can only be called by allowed pausers or governance.
    function setPaused(Paused memory updatedPaused) external;

    /// @notice Allow/Deny an account to pause/unpause deposits or withdrawals
    function setPauser(address account, bool canPause) external;

    /// @notice Check if given account can pause investments/exits
    function isPauser(address account) external view returns (bool canPause);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (investments/lovToken/managers/OrigamiAbstractLovTokenManager.sol)

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

import { IOrigamiInvestment } from "contracts/interfaces/investments/IOrigamiInvestment.sol";
import { IOrigamiLovTokenManager } from "contracts/interfaces/investments/lovToken/managers/IOrigamiLovTokenManager.sol";
import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { IOrigamiLovToken } from "contracts/interfaces/investments/lovToken/IOrigamiLovToken.sol";

import { OrigamiElevatedAccess } from "contracts/common/access/OrigamiElevatedAccess.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";
import { OrigamiManagerPausable } from "contracts/investments/util/OrigamiManagerPausable.sol";
import { Range } from "contracts/libraries/Range.sol";
import { Whitelisted } from "contracts/common/access/Whitelisted.sol";
import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { DynamicFees } from "contracts/libraries/DynamicFees.sol";

/**
 * @title Abstract Origami lovToken Manager
 * @notice The delegated logic to handle deposits/exits, and borrow/repay (rebalances) into the underlying reserve token
 * @dev The `reserveToken` must have <= 18 decimal places.
 */
abstract contract OrigamiAbstractLovTokenManager is IOrigamiLovTokenManager, OrigamiElevatedAccess, OrigamiManagerPausable, Whitelisted {
    using Range for Range.Data;
    using OrigamiMath for uint256;

    /**
     * @notice lovToken contract - eg lovDSR
     */
    IOrigamiLovToken public immutable override lovToken;

    /**
     * @notice The minimum fee (in basis points) when users deposit into from the lovToken. 
     * The fee is applied on the lovToken shares -- which are not minted, benefiting remaining holders.
     */
    uint64 internal _minDepositFeeBps;

    /**
     * @notice The minimum fee (in basis points) when users exit out from the lovToken. 
     * The fee is applied on the lovToken shares which are being exited
     * These lovToken shares are burned, benefiting remaining holders.
     */
    uint64 internal _minExitFeeBps;

    /**
     * @notice The nominal leverage factor applied to the difference between the
     * oracle SPOT_PRICE vs the HISTORIC_PRICE. Used within the fee calculation.
     * eg: depositFee = 15 * (HISTORIC_PRICE - SPOT_PRICE) [when spot < historic]
     * @dev feeLeverageFactor has 4dp precision
     */
    uint64 internal _feeLeverageFactor;

    /**
     * @notice The valid lower and upper bounds of A/L allowed when users deposit/exit into lovToken
     * @dev Transactions will revert if the resulting A/L is outside of this range
     */
    Range.Data public override userALRange;

    /**
     * @notice The valid range for when a rebalance is not required.
     * When a rebalance occurs, the transaction will revert if the resulting A/L is outside of this range.
     */
    Range.Data public override rebalanceALRange;

    /**
     * @notice The common precision used
     */
    uint256 public constant override PRECISION = 1e18;

    /**
     * @notice The maximum A/L ratio possible (eg if debt=0)
     */
    uint128 internal constant MAX_AL_RATIO = type(uint128).max;

    /**
     * @notice The maxmimum EE ratio possible (eg if liabilities >= reserves)
     */
    uint128 internal constant MAX_EFECTIVE_EXPOSURE = type(uint128).max;

    /**
     * @dev Max ERC20 token amount for supply/allowances/etc
     */
    uint256 internal constant MAX_TOKEN_AMOUNT = type(uint256).max;

    enum AlValidationMode {
        LOWER_THAN_BEFORE, 
        HIGHER_THAN_BEFORE
    }

    constructor(
        address _initialOwner,
        address _lovToken
    ) OrigamiElevatedAccess(_initialOwner) {
        lovToken = IOrigamiLovToken(_lovToken);
    }

    /**
     * @notice Set the minimum fee (in basis points) of lovToken's for deposit and exit,
     * and also the nominal leverage factor applied within the fee calculations
     * @dev feeLeverageFactor has 4dp precision
     */
    function setFeeConfig(
        uint16 minDepositFeeBps, 
        uint16 minExitFeeBps, 
        uint24 feeLeverageFactor
    ) external override onlyElevatedAccess {
        if (minDepositFeeBps > OrigamiMath.BASIS_POINTS_DIVISOR) revert CommonEventsAndErrors.InvalidParam();
        if (minExitFeeBps > OrigamiMath.BASIS_POINTS_DIVISOR) revert CommonEventsAndErrors.InvalidParam();
        emit FeeConfigSet(minDepositFeeBps, minExitFeeBps, feeLeverageFactor);
        _minDepositFeeBps = minDepositFeeBps;
        _minExitFeeBps = minExitFeeBps;
        _feeLeverageFactor = feeLeverageFactor;
    }

    /**
     * @notice The min deposit/exit fee and feeLeverageFactor configuration
     * @dev feeLeverageFactor has 4dp precision
     */
    function getFeeConfig() external override view returns (uint64, uint64, uint64) {
        return (_minDepositFeeBps, _minExitFeeBps, _feeLeverageFactor);
    }

    /**
     * @notice Set the valid lower and upper bounds of A/L when users deposit/exit into lovToken
     */
    function setUserALRange(uint128 floor, uint128 ceiling) external override onlyElevatedAccess {
        if (floor <= PRECISION) revert Range.InvalidRange(floor, ceiling);
        emit UserALRangeSet(floor, ceiling);
        userALRange.set(floor, ceiling);

        // Any extra validation on AL depending on the strategy
        _validateAlRange(userALRange);
    }

    /**
     * @notice Set the valid range for when a rebalance is not required.
     */
    function setRebalanceALRange(uint128 floor, uint128 ceiling) external override onlyElevatedAccess {
        if (floor <= PRECISION) revert Range.InvalidRange(floor, ceiling);
        emit RebalanceALRangeSet(floor, ceiling);
        rebalanceALRange.set(floor, ceiling);

        // Any extra validation on AL depending on the strategy
        _validateAlRange(rebalanceALRange);
    }

    /**
     * @notice Recover any token - should not be able to recover tokens which are normally
     * held in this contract
     * @param token Token to recover
     * @param to Recipient address
     * @param amount Amount to recover
     */
    function recoverToken(address token, address to, uint256 amount) external virtual;

    /** 
      * @notice Deposit into the reserve token on behalf of a user
      * @param account The user account which is investing.
      * @param quoteData The quote data to deposit into the reserve token
      * @return investmentAmount The actual number of receipt tokens received, inclusive of any fees.
      */
    function investWithToken(
        address account,
        IOrigamiInvestment.InvestQuoteData calldata quoteData
    ) external virtual override onlyLovToken returns (
        uint256 investmentAmount
    ) {
        if (_paused.investmentsPaused) revert CommonEventsAndErrors.IsPaused();
        if (!_isAllowed(account)) revert CommonEventsAndErrors.InvalidAccess();
        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);

        // Note this also checks that the debtToken/reserveToken oracle prices are valid.
        uint128 oldAL = _assetToLiabilityRatio(cache);

        uint256 newReservesAmount = _depositIntoReserves(quoteData.fromToken, quoteData.fromTokenAmount);

        // The number of shares is calculated based off this `newReservesAmount`
        // However not all of these shares are minted and given to the user -- the deposit fee is removed
        investmentAmount = _reservesToShares(cache, newReservesAmount);
        uint256 feeAmount;
        uint256 feeBps = _dynamicDepositFeeBps();
        (investmentAmount, feeAmount) = investmentAmount.splitSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_DOWN);
        emit InKindFees(DynamicFees.FeeType.DEPOSIT_FEE, feeBps, feeAmount);

        // Verify the amount
        if (investmentAmount == 0) revert CommonEventsAndErrors.ExpectedNonZero();
        if (investmentAmount < quoteData.minInvestmentAmount) {
            revert CommonEventsAndErrors.Slippage(quoteData.minInvestmentAmount, investmentAmount);
        }

        // A user deposit will raise the A/L (more reserves, but the same debt)
        // This needs to be validated so it doesn't go above the ceiling
        // Not required if there are not yet any liabilities (where A/L would be uint128.max)
        if (cache.liabilities != 0) {
            uint128 newAL = refreshCacheAL(cache, IOrigamiOracle.PriceType.SPOT_PRICE);
            _validateALRatio(userALRange, oldAL, newAL, AlValidationMode.HIGHER_THAN_BEFORE, cache);
        }
    }

    /** 
      * @notice Exit from the reserve token on behalf of a user.
      * param account The account to exit on behalf of
      * @param quoteData The quote data received from exitQuote()
      * @param recipient The receiving address of the exit token
      * @return toTokenAmount The number of tokens received upon selling the lovToken
      * @return toBurnAmount The number of lovTokens to be burnt after exiting this position
      */
    function exitToToken(
        address /*account*/,
        IOrigamiInvestment.ExitQuoteData calldata quoteData,
        address recipient
    ) external virtual override onlyLovToken returns (
        uint256 toTokenAmount,
        uint256 toBurnAmount
    ) {
        if (_paused.exitsPaused) revert CommonEventsAndErrors.IsPaused();
        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);

        // Note this also checks that the debtToken/reserveToken oracle prices are valid.
        uint128 oldAL = _assetToLiabilityRatio(cache);

        // The entire amount of lovTokens will be burned
        // But only the non-fee portion is redeemed to reserves and sent to the user
        toBurnAmount = quoteData.investmentTokenAmount;
        uint256 feeBps = _dynamicExitFeeBps();
        (uint256 reservesAmount, uint256 feeAmount) = toBurnAmount.splitSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_DOWN);
        emit InKindFees(DynamicFees.FeeType.EXIT_FEE, feeBps, feeAmount);

        // Given the number of redeemable lovToken's calculate how many reserves this equates to
        // at the current share price and the reserve supply prior to exiting
        reservesAmount = _sharesToReserves(cache, reservesAmount);

        // Now exit from the reserves and check slippage
        toTokenAmount = _redeemFromReserves(reservesAmount, quoteData.toToken, recipient);
        if (toTokenAmount < quoteData.minToTokenAmount) {
            revert CommonEventsAndErrors.Slippage(quoteData.minToTokenAmount, toTokenAmount);
        }

        // A user exit will lower the A/L (less reserves, but the same debt)
        // This needs to be validated so it doesn't go below the floor
        // Not required if there are not yet any liabilities (where A/L would be uint128.max)
        if (cache.liabilities != 0) {
            uint128 newAL = refreshCacheAL(cache, IOrigamiOracle.PriceType.SPOT_PRICE);
            _validateALRatio(userALRange, oldAL, newAL, AlValidationMode.LOWER_THAN_BEFORE, cache);
        }
    }

    /**
     * @notice Get a quote to buy this Origami investment using one of the accepted tokens. 
     * @param fromTokenAmount How much of `fromToken` to invest with
     * @param fromToken What ERC20 token to purchase with. This must be one of `acceptedInvestTokens`
     * @param maxSlippageBps The maximum acceptable slippage of the received investment amount
     * @param deadline The maximum deadline to execute the exit.
     * @return quoteData The quote data, including any params required for the underlying investment type.
     * @return investFeeBps Any fees expected when investing with the given token, either from Origami or from the underlying investment.
     */
    function investQuote(
        uint256 fromTokenAmount, 
        address fromToken,
        uint256 maxSlippageBps,
        uint256 deadline
    ) external virtual override view returns (
        IOrigamiInvestment.InvestQuoteData memory quoteData, 
        uint256[] memory investFeeBps
    ) {
        if (fromTokenAmount == 0) revert CommonEventsAndErrors.ExpectedNonZero();

        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);
        uint256 _newReservesAmount = _previewDepositIntoReserves(fromToken, fromTokenAmount);

        // The number of shares is calculated based off this `_newReservesAmount`
        // However not all of these shares are minted and given to the user -- the deposit fee is removed
        uint256 _investmentAmount = _reservesToShares(cache, _newReservesAmount);
        uint256 _depositFeeRate = _dynamicDepositFeeBps();
        _investmentAmount = _investmentAmount.subtractBps(_depositFeeRate, OrigamiMath.Rounding.ROUND_DOWN);

        quoteData.fromToken = fromToken;
        quoteData.fromTokenAmount = fromTokenAmount;
        quoteData.maxSlippageBps = maxSlippageBps;
        quoteData.deadline = deadline;
        quoteData.expectedInvestmentAmount = _investmentAmount;
        quoteData.minInvestmentAmount = _investmentAmount.subtractBps(maxSlippageBps, OrigamiMath.Rounding.ROUND_UP);
        // quoteData.underlyingInvestmentQuoteData remains as bytes(0)

        investFeeBps = new uint256[](1);
        investFeeBps[0] = _depositFeeRate;
    }

    /**
     * @notice The maximum amount of fromToken's that can be deposited into the lovToken
     * taking into consideration: 
     *    1/ The max reserves in possible until the A/L ceiling would be hit
     *    2/ Any other constraints of the underlying implementation
     */
    function maxInvest(address fromToken) external override view returns (uint256 fromTokenAmount) {
        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);

        // First get the underlying implementation's max allowed
        fromTokenAmount = _maxDepositIntoReserves(fromToken);

        // Use the minimum number of reserves from both the lovToken.maxTotalSupply and userAL.ceiling restrictions
        uint256 _minRemainingCapacity = _reservesCapacityFromTotalSupply(cache);
        uint256 _remainingCapacityForAlCeiling = _reservesCapacityFromAlCeiling(cache);

        if (_remainingCapacityForAlCeiling < _minRemainingCapacity) {
            _minRemainingCapacity = _remainingCapacityForAlCeiling;
        }

        // Convert to the fromToken. Use previewMint as this amount of fromToken's
        // should return the exact shares when invested
        if (_minRemainingCapacity < type(uint256).max) {
            _minRemainingCapacity = _previewMintReserves(fromToken, _minRemainingCapacity);
        }

        // Finally, use this remaining capcity if it's less than the underlying implementation's max allowed of fromToken
        if (_minRemainingCapacity < fromTokenAmount) {
            fromTokenAmount = _minRemainingCapacity;
        }
    }

    /**
     * @notice Get a quote to sell this Origami investment to receive one of the accepted tokens.
     * @param investmentAmount The number of Origami investment tokens to sell
     * @param toToken The token to receive when selling. This must be one of `acceptedExitTokens`
     * @param maxSlippageBps The maximum acceptable slippage of the received `toToken`
     * @param deadline The maximum deadline to execute the exit.
     * @return quoteData The quote data, including any params required for the underlying investment type.
     * @return exitFeeBps Any fees expected when exiting the investment to the nominated token, either from Origami or from the underlying investment.
     */
    function exitQuote(
        uint256 investmentAmount,
        address toToken,
        uint256 maxSlippageBps,
        uint256 deadline
    ) external virtual override view returns (
        IOrigamiInvestment.ExitQuoteData memory quoteData, 
        uint256[] memory exitFeeBps
    ) {
        if (investmentAmount == 0) revert CommonEventsAndErrors.ExpectedNonZero();

        // Exit fees are taken from the lovToken amount, so get the non-fee amount to actually exit
        uint256 _exitFeeRate = _dynamicExitFeeBps();
        uint256 toExitAmount = investmentAmount.subtractBps(_exitFeeRate, OrigamiMath.Rounding.ROUND_DOWN);

        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);

        // Convert to the underlying toToken
        toExitAmount = _previewRedeemFromReserves(
            // Convert the non-fee lovToken amount to ERC-4626 reserves
            _sharesToReserves(cache, toExitAmount),
            toToken
        );

        quoteData.investmentTokenAmount = investmentAmount;
        quoteData.toToken = toToken;
        quoteData.maxSlippageBps = maxSlippageBps;
        quoteData.deadline = deadline;
        quoteData.expectedToTokenAmount = toExitAmount;
        quoteData.minToTokenAmount = toExitAmount.subtractBps(maxSlippageBps, OrigamiMath.Rounding.ROUND_UP);
        // quoteData.underlyingInvestmentQuoteData remains as bytes(0)

        exitFeeBps = new uint256[](1);
        exitFeeBps[0] = _exitFeeRate;
    }

    /**
     * @notice The maximum amount of lovToken shares that can be exited into the `toToken`
     * taking into consideration: 
     *    1/ The max reserves out possible until the A/L floor would be hit
     *    2/ Any other constraints from the underyling implementation
     */
    function maxExit(address toToken) external override view returns (uint256 sharesAmount) {
        // Calculate the max reserves which can be removed before the A/L floor is hit
        // Round up for the minimum reserves
        Cache memory cache = populateCache(IOrigamiOracle.PriceType.SPOT_PRICE);

        uint256 _minReserves = cache.liabilities.mulDiv(
            convertedAL(userALRange.floor, cache), 
            PRECISION, 
            OrigamiMath.Rounding.ROUND_UP
        );

        // Only check the underlying implementation if there's capacity to remove reserves
        if (cache.assets > _minReserves) {
            // Calculate the max number of lovToken shares which can be exited given the A/L 
            // floor on reserves
            uint256 _amountFromAvailableCapacity;
            unchecked {
                _amountFromAvailableCapacity = cache.assets - _minReserves;
            }

            // Check the underlying implementation's max reserves that can be redeemed
            uint256 _underlyingAmount = _maxRedeemFromReserves(toToken, cache);

            // Use the minimum of both the underlying implementation max and
            // the capacity based on the A/L floor
            if (_underlyingAmount < _amountFromAvailableCapacity) {
                _amountFromAvailableCapacity = _underlyingAmount;
            }

            // Convert reserves to lovToken shares
            sharesAmount = _reservesToShares(cache, _amountFromAvailableCapacity);

            // Since exit fees are taken when exiting (so these reserves aren't actually redeemed),
            // reverse out the fees
            // Round down to be the inverse of when they're applied (and rounded up) when exiting
            sharesAmount = sharesAmount.inverseSubtractBps(_dynamicExitFeeBps(), OrigamiMath.Rounding.ROUND_DOWN);

            // Finally use the min of the derived amount and the lovToken total supply
            if (sharesAmount > cache.totalSupply) {
                sharesAmount = cache.totalSupply;
            }
        }
    }

    /**
     * @notice The current deposit and exit fee based on market conditions.
     * Fees are the equivalent of burning lovToken shares - benefit remaining vault users
     * @dev represented in basis points
     */
    function getDynamicFeesBps() external view returns (uint256 depositFeeBps, uint256 exitFeeBps) {
        depositFeeBps = _dynamicDepositFeeBps();
        exitFeeBps = _dynamicExitFeeBps();
    }

    /**
     * @notice Whether new investments are paused.
     */
    function areInvestmentsPaused() external override view returns (bool) {
        return _paused.investmentsPaused;
    }

    /**
     * @notice Whether exits are temporarily paused.
     */
    function areExitsPaused() external override view returns (bool) {
        return _paused.exitsPaused;
    }

    /**
     * @notice The reserveToken that the lovToken levers up on
     */
    function reserveToken() public virtual override view returns (address);

    /**
     * @notice The total balance of reserve tokens this lovToken holds, and also if deployed as collateral
     * in other platforms
     * @dev Explicitly tracked rather than via reserveToken.balanceOf() to avoid donation/inflation vectors.
     */
    function reservesBalance() public virtual override view returns (uint256);

    /**
     * @notice The debt of the lovToken from the borrower, converted into the reserveToken
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function liabilities(IOrigamiOracle.PriceType debtPriceType) public virtual override view returns (uint256);

    /**
     * @notice The current asset/liability (A/L) of this lovToken
     * to `PRECISION` precision
     * @dev = reserves / liabilities
     */
    function assetToLiabilityRatio() external override view returns (uint128) {
        return _assetToLiabilityRatio(populateCache(IOrigamiOracle.PriceType.SPOT_PRICE));
    }

    /**
     * @notice Retrieve the current assets, liabilities and calculate the ratio
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function assetsAndLiabilities(IOrigamiOracle.PriceType debtPriceType) external override view returns (
        uint256 /*assets*/,
        uint256 /*liabilities*/,
        uint256 /*ratio*/
    ) {
        Cache memory cache = populateCache(debtPriceType);
        return (
            cache.assets,
            cache.liabilities,
            _assetToLiabilityRatio(cache)
        );
    }

    /**
     * @notice The current effective exposure (EE) of this lovToken
     * to `PRECISION` precision
     * @dev = reserves / (reserves - liabilities)
     * Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function effectiveExposure(IOrigamiOracle.PriceType debtPriceType) external override view returns (uint128) {
        Cache memory cache = populateCache(debtPriceType);
        if (cache.assets > cache.liabilities) {
            uint256 redeemableReserves;
            unchecked {
                redeemableReserves = cache.assets - cache.liabilities;
            }

            // Round up for EE calc
            uint256 ee = cache.assets.mulDiv(PRECISION, redeemableReserves, OrigamiMath.Rounding.ROUND_UP);
            if (ee < MAX_EFECTIVE_EXPOSURE) {
                return uint128(ee);
            }
        }

        return MAX_EFECTIVE_EXPOSURE;
    }

    /**
     * @notice The amount of reserves that users may redeem their lovTokens as of this block
     * @dev = reserves - liabilities
     * Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function userRedeemableReserves(IOrigamiOracle.PriceType debtPriceType) external override view returns (uint256) {
        return _userRedeemableReserves(populateCache(debtPriceType));
    }

    /**
     * @notice How many reserve tokens would one get given a number of lovToken shares 
     * and the current lovToken totalSupply
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function sharesToReserves(uint256 shares, IOrigamiOracle.PriceType debtPriceType) external override view returns (uint256) {
        return _sharesToReserves(populateCache(debtPriceType), shares);
    }

    /**
     * @notice How many lovToken shares would one get given a number of reserve tokens
     * and the current lovToken totalSupply
     * @dev Use the Oracle `debtPriceType` to value any debt in terms of the reserve token
     */
    function reservesToShares(uint256 reserves, IOrigamiOracle.PriceType debtPriceType) external override view returns (uint256) {
        return _reservesToShares(populateCache(debtPriceType), reserves);
    }

    // An internal cache to save having to recalculate
    struct Cache {
        uint256 assets;
        uint256 liabilities;
        uint256 totalSupply;

        // This slot can be used by an underlying implementation if required.
        uint256 implData;
    }

    function populateCache(IOrigamiOracle.PriceType debtPriceType) internal view returns (Cache memory cache) {
        cache.assets = reservesBalance();
        cache.liabilities = liabilities(debtPriceType);
        cache.totalSupply = lovToken.totalSupply();
    }

    function refreshCacheAL(Cache memory cache, IOrigamiOracle.PriceType debtPriceType) internal view returns (uint128) {
        cache.assets = reservesBalance();
        cache.liabilities = liabilities(debtPriceType);
        return _assetToLiabilityRatio(cache);
    }

    /**
     * @dev If necessary, an implementation may convert the A/L. 
     * For example if the money market liquidation LTV is defined in one way and needs converting to a 'market priced' LTV 
     */
    function convertedAL(uint128 al, Cache memory /*cache*/) internal virtual view returns (uint128) {
        return al;
    }

    /**
     * @notice The current deposit fee based on market conditions.
     * Deposit fees are applied to the portion of lovToken shares the depositor 
     * would have received. Instead that fee portion isn't minted (benefiting remaining users)
     * @dev represented in basis points
     */
    function _dynamicDepositFeeBps() internal virtual view returns (uint256);

    /**
     * @notice The current exit fee based on market conditions.
     * Exit fees are applied to the lovToken shares the user is exiting. 
     * That portion is burned prior to being redeemed (benefiting remaining users)
     * @dev represented in basis points
     */
    function _dynamicExitFeeBps() internal virtual view returns (uint256);

    /**
     * @dev Perform any extra validation on the A/L range
     * By default, nothing extra validation is required, however a manager implementation
     * may decide to perform extra. For example if borrowing from Aave/Spark, 
     * this can check that the A/L floor is within a tolerable range which won't get liquidated
     * Since those parameters could be updated at a later date by Aave/Spark
     */
    function _validateAlRange(Range.Data storage range) internal virtual view {}

    function _userRedeemableReserves(Cache memory cache) internal pure returns (uint256) {
        unchecked {
            return cache.assets > cache.liabilities
                ? cache.assets - cache.liabilities
                : 0;
        }
    }

    function _assetToLiabilityRatio(Cache memory cache) internal pure returns (uint128) {
        if (cache.liabilities != 0) {
            // Round down for A/L calc
            uint256 alr = cache.assets.mulDiv(PRECISION, cache.liabilities, OrigamiMath.Rounding.ROUND_DOWN);
            if (alr < MAX_AL_RATIO) {
                return uint128(alr);
            }
        }

        return MAX_AL_RATIO;
    }

    function _sharesToReserves(Cache memory cache, uint256 shares) internal view returns (uint256) {
        // If totalSupply is zero, then just return shares 1:1 scaled down to the reserveToken decimals
        // If > 0 then the decimal conversion is handled already (numerator cancels out denominator)
        // Round down for calculating reserves from shares
        return cache.totalSupply == 0
            ? shares.scaleDown(_reservesToSharesScalar(), OrigamiMath.Rounding.ROUND_DOWN)
            : shares.mulDiv(_userRedeemableReserves(cache), cache.totalSupply, OrigamiMath.Rounding.ROUND_DOWN);
    }

    function _reservesToShares(Cache memory cache, uint256 reserves) private view returns (uint256) {
        // If totalSupply is zero, then just return reserves 1:1 scaled up to the shares decimals
        // If > 0 then the decimal conversion is handled already (numerator cancels out denominator)
        if (cache.totalSupply == 0) {
            return reserves.scaleUp(_reservesToSharesScalar());
        }

        // In the unlikely case that no available reserves for user withdrawals (100% of reserves are held back to repay debt),
        // then revert
        uint256 _redeemableReserves = _userRedeemableReserves(cache);
        if (_redeemableReserves == 0) {
            revert NoAvailableReserves();
        }

        // Round down for calculating shares from reserves
        return reserves.mulDiv(cache.totalSupply, _redeemableReserves, OrigamiMath.Rounding.ROUND_DOWN);
    }

    /**
      * @dev Calculate the asset scalar to convert from reserveToken --> 18 decimal places (`PRECISION`)
      * The reserveToken cannot have more than the lovToken decimals (18dp)
      */
    function _reservesToSharesScalar() internal view returns (uint256) {
        uint8 _reservesDecimals = IERC20Metadata(reserveToken()).decimals();
        uint8 _sharesDecimals = IERC20Metadata(address(lovToken)).decimals();
        if (_reservesDecimals > _sharesDecimals) revert CommonEventsAndErrors.InvalidToken(reserveToken());
        return 10 ** (_sharesDecimals - _reservesDecimals);
    }

    /**
     * @notice Deposit a number of `fromToken` into the `reserveToken`
     */
    function _depositIntoReserves(address fromToken, uint256 fromTokenAmount) internal virtual returns (uint256 newReservesAmount);

    /**
     * @notice Calculate the amount of `reserveToken` will be deposited given an amount of `fromToken`
     */
    function _previewDepositIntoReserves(address fromToken, uint256 fromTokenAmount) internal virtual view returns (uint256 newReservesAmount);

    /**
     * @notice Maximum amount of `fromToken` that can be deposited into the `reserveToken`
     */
    function _maxDepositIntoReserves(address fromToken) internal virtual view returns (uint256 fromTokenAmount);

    /**
     * @notice Calculate the number of `toToken` required in order to mint a given number of `reserveTokens`
     */
    function _previewMintReserves(address toToken, uint256 reservesAmount) internal virtual view returns (uint256 toTokenAmount);

    /**
     * @notice Redeem a number of `reserveToken` into `toToken`
     */
    function _redeemFromReserves(uint256 reservesAmount, address toToken, address recipient) internal virtual returns (uint256 toTokenAmount);

    /**
     * @notice Calculate the number of `toToken` recevied if redeeming a number of `reserveToken`
     */
    function _previewRedeemFromReserves(uint256 reservesAmount, address toToken) internal virtual view returns (uint256 toTokenAmount);

    /**
     * @notice Maximum amount of `reserveToken` that can be redeemed to `toToken`
     */
    function _maxRedeemFromReserves(address toToken, Cache memory cache) internal virtual view returns (uint256 reservesAmount);

    /**
     * @notice Validate that the A/L ratio hasn't moved beyond the given A/L range.
     */
    function _validateALRatio(Range.Data storage validRange, uint128 ratioBefore, uint128 ratioAfter, AlValidationMode alMode, Cache memory cache) internal virtual {
        if (alMode == AlValidationMode.LOWER_THAN_BEFORE) {
            // A/L needs to be decreasing (may be equal if a very small amount is deposited/exited)
            if (ratioAfter > ratioBefore) revert ALTooHigh(ratioBefore, ratioAfter, ratioBefore);
            
            // Check that the new A/L is not below the floor
            // In this mode, the A/L may be above the ceiling still, but should be decreasing
            // Note: The A/L may not be strictly decreasing in this mode since the liabilities (in reserve terms) is also
            // fluctuating
            uint128 convertedAlFloor = convertedAL(validRange.floor, cache);
            if (ratioAfter < convertedAlFloor) revert ALTooLow(ratioBefore, ratioAfter, convertedAlFloor);
        } else {
            // A/L needs to be increasing (may be equal if a very small amount is deposited/exited)
            if (ratioAfter < ratioBefore) revert ALTooLow(ratioBefore, ratioAfter, ratioBefore);

            // Check that the new A/L is not above the ceiling
            // In this mode, the A/L may be below the floor still, but should be increasing
            // Note: The A/L may not be strictly increasing in this mode since the liabilities (in reserve terms) is also
            // fluctuating
            uint128 convertedAlCeiling = convertedAL(validRange.ceiling, cache);
            if (ratioAfter > convertedAlCeiling) revert ALTooHigh(ratioBefore, ratioAfter, convertedAlCeiling);
        }
    }

    /**
     * @dev Recalculate the A/L and validate that it is still within the `rebalanceALRange`
     */
    function _validateAfterRebalance(
        Cache memory cache, 
        uint128 alRatioBefore, 
        uint128 minNewAL, 
        uint128 maxNewAL,
        AlValidationMode alValidationMode,
        bool force
    ) internal returns (uint128 alRatioAfter) {
        // Need to recalculate both the assets and liabilities in the cache
        alRatioAfter = refreshCacheAL(cache, IOrigamiOracle.PriceType.SPOT_PRICE);

        // Ensure the A/L is within the expected slippage range
        {
            // The `minNewAL` and `maxNewAL` are specified in the borrow lend terms
            // Convert them to 'market' so it's in the same terms as the `alRatioAfter`
            uint128 _convertedAL = convertedAL(minNewAL, cache);
            if (alRatioAfter < _convertedAL) revert ALTooLow(alRatioBefore, alRatioAfter, _convertedAL);
            _convertedAL = convertedAL(maxNewAL, cache);
            if (alRatioAfter > _convertedAL) revert ALTooHigh(alRatioBefore, alRatioAfter, _convertedAL);
        }

        if (!force)
            _validateALRatio(rebalanceALRange, alRatioBefore, alRatioAfter, alValidationMode, cache);
    }

    /**
     * @dev Calculate the free capacity for new reserves, given the lovToken maxTotalSupply restriction
     */
    function _reservesCapacityFromTotalSupply(Cache memory cache) internal view returns (uint256) {
        uint256 _maxTotalSupply = lovToken.maxTotalSupply();

        if (_maxTotalSupply == type(uint256).max) {
            return type(uint256).max;
        }

        // Number of lovToken shares available
        uint256 _availableShares;
        unchecked {
            _availableShares = _maxTotalSupply > cache.totalSupply
                ? _maxTotalSupply - cache.totalSupply
                : 0;
        }

        // Take deposit fees into account
        // Round down to be the inverse of when they're applied when depositing
        _availableShares = _availableShares.inverseSubtractBps(_dynamicDepositFeeBps(), OrigamiMath.Rounding.ROUND_DOWN);

        // Convert to reserve tokens
        return _sharesToReserves(cache, _availableShares);
    }

    /**
     * @dev Calculate the free capacity for new reserves, given the A/L ceiling restriction
     */
    function _reservesCapacityFromAlCeiling(Cache memory cache) internal view returns (uint256) {
        if (cache.liabilities == 0) {
            return type(uint256).max;
        }

        // This is ever so slightly conservative, as it calculates maxReserves which would result in
        // an A/L strictly less than (<) the `userALRange.ceiling`, rather than exacly less-than-or-equal (<=)
        // This is intentional to provide a slightly more conservative max amount which can be deposited.
        // To get it exact, the userALRange.ceiling would need to be incremented by 1 (if not already type(uint128).max)
        uint256 _maxReservesForAlCeiling = cache.liabilities.mulDiv(
            convertedAL(userALRange.ceiling, cache),
            PRECISION, 
            OrigamiMath.Rounding.ROUND_DOWN
        );

        if (_maxReservesForAlCeiling > cache.assets) {
            unchecked {
                return _maxReservesForAlCeiling - cache.assets;
            }
        }

        return 0;
    }

    modifier onlyLovToken() {
        if (msg.sender != address(lovToken)) revert CommonEventsAndErrors.InvalidAccess();
        _;
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (investments/util/OrigamiManagerPausable.sol)

import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";
import { OrigamiElevatedAccess } from "contracts/common/access/OrigamiElevatedAccess.sol";
import { IOrigamiManagerPausable } from "contracts/interfaces/investments/util/IOrigamiManagerPausable.sol";

/**
 * @title A mixin to add pause/unpause for Origami manager contracts
 */
abstract contract OrigamiManagerPausable is IOrigamiManagerPausable, OrigamiElevatedAccess {
    /**
     * @notice A set of accounts which are allowed to pause deposits/withdrawals immediately
     * under emergency
     */
    mapping(address account => bool canPause) public pausers;

    /**
     * @notice The current paused/unpaused state of deposits/exits.
     */
    Paused internal _paused;

    /**
     * @notice Pause/unpause deposits or exits
     * @dev Can only be called by allowed pausers.
     */
    function setPaused(Paused calldata updatedPaused) external {
        if (!pausers[msg.sender]) revert CommonEventsAndErrors.InvalidAccess();
        emit PausedSet(updatedPaused);
        _paused = updatedPaused;
    }

    /**
     * @notice Allow/Deny an account to pause/unpause deposits or exits
     */
    function setPauser(address account, bool canPause) external onlyElevatedAccess {
        pausers[account] = canPause;
        emit PauserSet(account, canPause);
    }

    /**
     * @notice Check if given account can pause deposits/exits
     */
    function isPauser(address account) external view override returns (bool canPause) {
        canPause = pausers[account];
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (libraries/CommonEventsAndErrors.sol)

/// @notice A collection of common events and errors thrown within the Origami contracts
library CommonEventsAndErrors {
    error InsufficientBalance(address token, uint256 required, uint256 balance);
    error InvalidToken(address token);
    error InvalidParam();
    error InvalidAddress(address addr);
    error InvalidAmount(address token, uint256 amount);
    error ExpectedNonZero();
    error Slippage(uint256 minAmountExpected, uint256 actualAmount);
    error IsPaused();
    error UnknownExecuteError(bytes returndata);
    error InvalidAccess();
    error BreachedMaxTotalSupply(uint256 totalSupply, uint256 maxTotalSupply);

    event TokenRecovered(address indexed to, address indexed token, uint256 amount);
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (libraries/DynamicFees.sol)

import { IOrigamiOracle } from "contracts/interfaces/common/oracle/IOrigamiOracle.sol";
import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";

/**
 * @notice A helper to calculate dynamic entry and exit fees based off the difference
 * between an oracle historic vs spot price
 */
library DynamicFees {
    using OrigamiMath for uint256;

    enum FeeType {
        DEPOSIT_FEE,
        EXIT_FEE
    }

    /**
     * @notice The current deposit or exit fee based on market conditions.
     * Fees are applied to the portion of lovToken shares the depositor 
     * would have received. Instead that fee portion isn't minted (benefiting remaining users)
     * Ignoring the minFeeBps, deposit vs exit fees are symmetric:
     *   - A 0.004 cent increase in price (away from expected historic) should result a deposit fee of X bps
     *   - A 0.004 cent decrease in price (away from expected historic) should result an exit fee, also of X bps
     * ie X is the same in both cases.
     * @dev feeLeverageFactor has 4dp precision
     */
    function dynamicFeeBps(
        FeeType feeType,
        IOrigamiOracle oracle,
        address expectedBaseAsset,
        uint64 minFeeBps,
        uint256 feeLeverageFactor
    ) internal view returns (uint256) {
        // Pull the spot and expected historic price from the oracle.
        // Round up for both to be consistent no matter if the oracle is in expected quoted order or not.
        (uint256 _spotPrice, uint256 _histPrice, address _baseAsset, address _quoteAsset) = oracle.latestPrices(
            IOrigamiOracle.PriceType.SPOT_PRICE,
            OrigamiMath.Rounding.ROUND_UP,
            IOrigamiOracle.PriceType.HISTORIC_PRICE,
            OrigamiMath.Rounding.ROUND_UP
        );
        
        // Whether the expected 'base' asset of the oracle is indeed the base asset.
        // If not, then the delta and denominator is switched
        bool _inQuotedOrder;
        if (_baseAsset == expectedBaseAsset) {
            _inQuotedOrder = true;
        } else if (_quoteAsset != expectedBaseAsset) {
            revert CommonEventsAndErrors.InvalidToken(expectedBaseAsset);
        }

        uint256 _delta;
        uint256 _denominator;
        if (feeType == FeeType.DEPOSIT_FEE) {
            // If spot price is > than the expected historic, then they are exiting
            // at a price better than expected. The exit fee is based off the relative
            // difference of the expected spotPrice - historicPrice.
            // Or opposite if the oracle order is inverted
            unchecked {
                if (_inQuotedOrder) {
                    if (_spotPrice < _histPrice) {
                        (_delta, _denominator) = (_histPrice - _spotPrice, _histPrice);
                    }
                } else {
                    if (_spotPrice > _histPrice) {
                        (_delta, _denominator) = (_spotPrice - _histPrice, _spotPrice);
                    }
                }
            }
        } else {
            // If spot price is > than the expected historic, then they are exiting
            // at a price better than expected. The exit fee is based off the relative
            // difference of the expected spotPrice - historicPrice.
            // Or opposite if the oracle order is inverted
            unchecked {
                if (_inQuotedOrder) {
                    if (_spotPrice > _histPrice) {
                        (_delta, _denominator) = (_spotPrice - _histPrice, _histPrice);
                    }
                } else {
                    if (_spotPrice < _histPrice) {
                        (_delta, _denominator) = (_histPrice - _spotPrice, _spotPrice);
                    }
                }
            }
        }

        // If no delta, just return the min fee
        if (_delta == 0) {
            return minFeeBps;
        }

        // Relative diff multiply by a leverage factor to match the worst case lovToken
        // effective exposure
        // Result is in basis points, since `feeLeverageFactor` has 4dp precision
        uint256 _fee = _delta.mulDiv(
            feeLeverageFactor,
            _denominator,
            OrigamiMath.Rounding.ROUND_UP
        );

        // Use the maximum of the calculated fee and a pre-set minimum.
        return minFeeBps > _fee ? minFeeBps : _fee;
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (libraries/OrigamiMath.sol)

import { mulDiv as prbMulDiv, PRBMath_MulDiv_Overflow } from "@prb/math/src/Common.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";

/**
 * @notice Utilities to operate on fixed point math multipliation and division
 * taking rounding into consideration
 */
library OrigamiMath {
    enum Rounding {
        ROUND_DOWN,
        ROUND_UP
    }

    uint256 public constant BASIS_POINTS_DIVISOR = 10_000;

    function scaleUp(uint256 amount, uint256 scalar) internal pure returns (uint256) {
        // Special case for scalar == 1, as it's common for token amounts to not need
        // scaling if decimal places are the same
        return scalar == 1 ? amount : amount * scalar;
    }

    function scaleDown(
        uint256 amount, 
        uint256 scalar, 
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        // Special case for scalar == 1, as it's common for token amounts to not need
        // scaling if decimal places are the same
        unchecked {
            if (scalar == 1) {
                result = amount;
            } else if (roundingMode == Rounding.ROUND_DOWN) {
                result = amount / scalar;
            } else {
                // ROUND_UP uses the same logic as OZ Math.ceilDiv()
                result = amount == 0 ? 0 : (amount - 1) / scalar + 1;
            }
        }
    }

    /**
     * @notice Calculates x * y / denominator with full precision,
     * rounding up
     */
    function mulDiv(
        uint256 x, 
        uint256 y, 
        uint256 denominator,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        result = prbMulDiv(x, y, denominator);
        if (roundingMode == Rounding.ROUND_UP) {
            if (mulmod(x, y, denominator) != 0) {
                if (result < type(uint256).max) {
                    unchecked {
                        result = result + 1;
                    }
                } else {
                    revert PRBMath_MulDiv_Overflow(x, y, denominator);
                }
            }
        }
    }

    function subtractBps(
        uint256 inputAmount, 
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        uint256 numeratorBps;
        unchecked {
            numeratorBps = BASIS_POINTS_DIVISOR - basisPoints;
        }

        result = basisPoints < BASIS_POINTS_DIVISOR
            ? mulDiv(
                inputAmount,
                numeratorBps, 
                BASIS_POINTS_DIVISOR, 
                roundingMode
            ) : 0;
    }

    function addBps(
        uint256 inputAmount,
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        uint256 numeratorBps;
        unchecked {
            numeratorBps = BASIS_POINTS_DIVISOR + basisPoints;
        }

        // Round up for max amounts out expected
        result = mulDiv(
            inputAmount,
            numeratorBps, 
            BASIS_POINTS_DIVISOR, 
            roundingMode
        );
    }

    /**
     * @notice Split the `inputAmount` into two parts based on the `basisPoints` fraction.
     * eg: 3333 BPS (33.3%) can be used to split an input amount of 600 into: (result=400, removed=200).
     * @dev The rounding mode is applied to the `result`
     */
    function splitSubtractBps(
        uint256 inputAmount, 
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result, uint256 removed) {
        result = subtractBps(inputAmount, basisPoints, roundingMode);
        unchecked {
            removed = inputAmount - result;
        }
    }

    /**
     * @notice Reverse the fractional amount of an input.
     * eg: For 3333 BPS (33.3%) and the remainder=400, the result is 600
     */
    function inverseSubtractBps(
        uint256 remainderAmount, 
        uint256 basisPoints,
        Rounding roundingMode
    ) internal pure returns (uint256 result) {
        if (basisPoints == 0) return remainderAmount; // gas shortcut for 0
        if (basisPoints >= BASIS_POINTS_DIVISOR) revert CommonEventsAndErrors.InvalidParam();

        uint256 denominatorBps;
        unchecked {
            denominatorBps = BASIS_POINTS_DIVISOR - basisPoints;
        }
        result = mulDiv(
            remainderAmount,
            BASIS_POINTS_DIVISOR, 
            denominatorBps, 
            roundingMode
        );
    }

    /**
     * @notice Calculate the relative difference of a value to a reference
     * @dev `value` and `referenceValue` must have the same precision
     * The denominator is always the referenceValue
     */
    function relativeDifferenceBps(
        uint256 value,
        uint256 referenceValue,
        Rounding roundingMode
    ) internal pure returns (uint256) {
        if (referenceValue == 0) revert CommonEventsAndErrors.InvalidParam();

        uint256 absDelta;
        unchecked {
            absDelta = value < referenceValue
                ? referenceValue - value
                : value - referenceValue;
        }

        return mulDiv(
            absDelta,
            BASIS_POINTS_DIVISOR,
            referenceValue,
            roundingMode
        );
    }
}

pragma solidity 0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (libraries/Range.sol)

/**
 * @notice A helper library to track a valid range from floor <= x <= ceiling
 */
library Range {
    error InvalidRange(uint128 floor, uint128 ceiling);

    struct Data {
        uint128 floor;
        uint128 ceiling;
    }

    function set(Data storage range, uint128 floor, uint128 ceiling) internal {
        if (floor > ceiling) {
            revert InvalidRange(floor, ceiling);
        }
        range.floor = floor;
        range.ceiling = ceiling;
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 9999
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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000000000000000000000000b20aae0fe007519b7ce6f090a2ab8353b3da5d800000000000000000000000005bae9a5d67d1ca5b09b14c91935f635cfbf3b685000000000000000000000000a0b86991c6218b36c1d19d4a2e9eb0ce3606eb480000000000000000000000005bae9a5d67d1ca5b09b14c91935f635cfbf3b685000000000000000000000000bd46abf8999e979c4ec507e8be06b5d4402a0205000000000000000000000000bb051dad562efe87a594cd1dd0a2263706abe125

-----Decoded View---------------
Arg [0] : _initialOwner (address): 0xb20AaE0Fe007519b7cE6f090a2aB8353B3Da5d80
Arg [1] : _reserveToken_ (address): 0x5BaE9a5D67d1CA5b09B14c91935f635CFBF3b685
Arg [2] : _debtToken_ (address): 0xA0b86991c6218b36c1d19D4a2e9Eb0cE3606eB48
Arg [3] : _dynamicFeeOracleBaseToken (address): 0x5BaE9a5D67d1CA5b09B14c91935f635CFBF3b685
Arg [4] : _lovToken (address): 0xBd46AbF8999E979C4Ec507E8bE06b5D4402A0205
Arg [5] : _borrowLend (address): 0xBB051daD562eFE87a594Cd1DD0A2263706ABe125

-----Encoded View---------------
6 Constructor Arguments found :
Arg [0] : 000000000000000000000000b20aae0fe007519b7ce6f090a2ab8353b3da5d80
Arg [1] : 0000000000000000000000005bae9a5d67d1ca5b09b14c91935f635cfbf3b685
Arg [2] : 000000000000000000000000a0b86991c6218b36c1d19d4a2e9eb0ce3606eb48
Arg [3] : 0000000000000000000000005bae9a5d67d1ca5b09b14c91935f635cfbf3b685
Arg [4] : 000000000000000000000000bd46abf8999e979c4ec507e8be06b5d4402a0205
Arg [5] : 000000000000000000000000bb051dad562efe87a594cd1dd0a2263706abe125