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

import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { IERC165 } from "@openzeppelin/contracts/interfaces/IERC165.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";

import { ITokenizedBalanceSheetVault } from "contracts/interfaces/external/tokenizedBalanceSheetVault/ITokenizedBalanceSheetVault.sol";
import { IOrigamiTokenizedBalanceSheetVault } from "contracts/interfaces/common/IOrigamiTokenizedBalanceSheetVault.sol";
import { IOpalManager } from "contracts/interfaces/investments/opal/IOpalManager.sol";
import { IOpalVault } from "contracts/interfaces/investments/opal/IOpalVault.sol";
import { OrigamiTokenizedBalanceSheetVault } from "contracts/common/OrigamiTokenizedBalanceSheetVault.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";
import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { OrigamiTBSLib as TBSLib, TBSState } from "contracts/libraries/OrigamiTBSLib.sol";

/**
 * @title Origami Portfolio of Assets and Liabilities (OPAL) - Tokenized Balance Sheet (TBS) Vault 
 * @notice The logic to aggregate the adapter balance sheets and allocate out to the adapters is delegated to a manager.
 */
contract OpalVault is
    OrigamiTokenizedBalanceSheetVault,
    IOpalVault
{
    using SafeERC20 for IERC20;
    using OrigamiMath for uint256;
    using TBSLib for TBSState;
    
    /// @dev The internal manager
    IOpalManager private _manager;

    /// @inheritdoc IOpalVault
    address public override feeCollector;

    /// @inheritdoc IOpalVault
    uint48 public override annualPerformanceFeeBps;

    /// @inheritdoc IOpalVault
    uint48 public override lastPerformanceFeeTime;

    /// @inheritdoc IOpalVault
    uint16 public constant override MAX_PERFORMANCE_FEE_BPS = 1_000; // 10%

    constructor(
        address initialOwner_,
        string memory name_,
        string memory symbol_,
        uint48 _annualPerformanceFeeBps,
        address _feeCollector,
        address tokenPrices_
    )
        OrigamiTokenizedBalanceSheetVault(initialOwner_, name_, symbol_, tokenPrices_)
    {
        if (_annualPerformanceFeeBps > MAX_PERFORMANCE_FEE_BPS) revert CommonEventsAndErrors.InvalidParam();
        annualPerformanceFeeBps = _annualPerformanceFeeBps;
        lastPerformanceFeeTime = uint48(block.timestamp);
        feeCollector = _feeCollector;
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function setManager(address newManager) external override onlyElevatedAccess {
        if (newManager == address(0)) revert CommonEventsAndErrors.InvalidAddress(address(0));

        if (newManager != address(_manager)) {
            _manager = IOpalManager(newManager);
            emit ManagerSet(newManager);
        }

        // Update the tokens hash in case it's changed
        updateCurrentTokensHash();
    }

    /// @inheritdoc IOpalVault
    function setAnnualPerformanceFee(uint48 _annualPerformanceFeeBps) external override onlyElevatedAccess {
        if (_annualPerformanceFeeBps > MAX_PERFORMANCE_FEE_BPS) revert CommonEventsAndErrors.InvalidParam();

        // Harvest on the old rate prior to updating the fee
        _collectPerformanceFees();

        emit PerformanceFeeSet(_annualPerformanceFeeBps);
        annualPerformanceFeeBps = _annualPerformanceFeeBps;
    }

    /// @inheritdoc IOpalVault
    function setFeeCollector(address _feeCollector) external override onlyElevatedAccess {
        if (_feeCollector == address(0)) revert CommonEventsAndErrors.InvalidAddress(address(0));
        emit FeeCollectorSet(_feeCollector);
        feeCollector = _feeCollector;
    }

    /// @inheritdoc IOpalVault
    function collectPerformanceFees() external override onlyElevatedAccess returns (uint256 amount) {
        return _collectPerformanceFees();
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function areJoinsPaused() public override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (
        bool
    ) {
        return _manager.areJoinsPaused();
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function areExitsPaused() public override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (
        bool
    ) {
        return _manager.areExitsPaused();
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function manager() external override view returns (address) {
        return address(_manager);
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function joinFeeBps() public override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (
        uint256
    ) {
        return _manager.joinFeeBps();
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function exitFeeBps() public override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (
        uint256
    ) {
        return _manager.exitFeeBps();
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function assetTokens() public override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (
        address[] memory assets
    ) {
        assets = _manager.assetTokens();
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function liabilityTokens() public override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (
        address[] memory liabilities
    ) {
        liabilities = _manager.liabilityTokens();
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    /// @dev It is not always guaranteed that the amount returned here will succeed when joinWithToken() is called, 
    /// for example underlying adapter reverts if the protocol is paused (which may not be able to be captured adequately
    ///  here). It may also be slightly more conservative than what may actually be possible. This is a best efforts.
    function maxJoinWithToken(
        address tokenAddress, 
        address /*receiver*/
    ) public view override(ITokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) virtual returns (uint256 maxToken) {
        // NOTE joinWithToken() will only use the base OrigamiTokenizedBalanceSheetVault::_maxJoinWithToken() implementation
        // as a precondition check rather than this version which also checks each underlying adapter.
        // This calc is gas intensive, and the join will revert anyway in the case that the underlying adapter cannot join
        // with the requested tokens.

        // Calculate the minimum amount of shares which can be used to join the vault
        TBSState memory $ = _stateForInputToken(tokenAddress, 0);
        uint256 maxShares = _leastOfMaxJoinWithShares($);

        // Match _previewJoinWithShares to calc the amount of shares prior to fees being taken
        if (maxShares < type(uint256).max) maxShares = maxShares.inverseSubtractBps(joinFeeBps(), OrigamiMath.Rounding.ROUND_UP);

        // Finally convert that max amount of shares into the requested token
        return _maxSharesToInputToken($, maxShares);
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    /// @dev It is not always guaranteed that the amount returned here will succeed when joinWithShares() is called, 
    /// for example underlying adapter reverts if the protocol is paused (which may not be able to be captured adequately
    ///  here). It may also be slightly more conservative than what may actually be possible. This is a best efforts.
    function maxJoinWithShares(
        address /*receiver*/
    ) public view override(ITokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) virtual returns (uint256 maxShares) {
        return _leastOfMaxJoinWithShares(_state());
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    /// @dev It is not always guaranteed that the amount returned here will succeed when exitWithToken() is called, 
    /// for example underlying adapter reverts if the protocol is paused (which may not be able to be captured adequately
    ///  here). It may also be slightly more conservative than what may actually be possible. This is a best efforts.
    function maxExitWithToken(
        address tokenAddress,
        address sharesOwner
    ) public view override(ITokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) virtual returns (uint256 maxToken) {
        // NOTE exitWithToken() will only use the base OrigamiTokenizedBalanceSheetVault::_maxExitWithToken() implementation
        // as a precondition check rather than this version which also checks each underlying adapter.
        // This calc is gas intensive, and the exit will revert anyway in the case that the underlying adapter cannot exit
        // with the requested tokens.

        // Calculate the minimum amount of shares which can be used to exit the vault
        TBSState memory $ = _stateForInputToken(tokenAddress, 0);
        uint256 maxShares = _leastOfMaxExitWithShares($, sharesOwner);

        // Match _previewExitWithShares to calc the amount of shares after fees are taken
        if (maxShares < type(uint256).max) maxShares = maxShares.subtractBps(exitFeeBps(), OrigamiMath.Rounding.ROUND_DOWN);

        // Finally convert that max amount of shares into the requested token
        return _maxSharesToInputToken($, maxShares);
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    /// @dev It is not always guaranteed that the amount returned here will succeed when exitWithShares() is called, 
    /// for example underlying adapter reverts if the protocol is paused (which may not be able to be captured adequately
    ///  here). It may also be slightly more conservative than what may actually be possible. This is a best efforts.
    function maxExitWithShares(
        address sharesOwner
    ) public view override(ITokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) virtual returns (uint256 maxShares) {
        return _leastOfMaxExitWithShares(_state(), sharesOwner);
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function matchToken(address tokenAddress) public virtual override(IOrigamiTokenizedBalanceSheetVault, OrigamiTokenizedBalanceSheetVault) view returns (AssetOrLiability kind, uint256 index) {
        return _manager.matchToken(tokenAddress);
    }

    /// @inheritdoc OrigamiTokenizedBalanceSheetVault
    function _balanceSheet() internal override view returns (
        uint256[] memory totalAssets,
        uint256[] memory totalLiabilities,
        bytes memory balanceSheetData
    ) {
        return _manager.balanceSheet();
    }

    /// @inheritdoc IERC165
    function supportsInterface(
        bytes4 interfaceId
    ) public override(IERC165, OrigamiTokenizedBalanceSheetVault) pure returns (bool) {
        return OrigamiTokenizedBalanceSheetVault.supportsInterface(interfaceId)
            || interfaceId == type(IOpalVault).interfaceId;
    }

    /// @inheritdoc IOpalVault
    function accruedPerformanceFee() public override view returns (uint256) {
        // totalSupply * feeBps * timeDelta / 365 days / 10_000
        // Round down (protocol takes less of a fee)
        uint256 _timeDelta = block.timestamp - lastPerformanceFeeTime;
        return OrigamiMath.mulDiv(
            totalSupply(), 
            annualPerformanceFeeBps * _timeDelta, 
            OrigamiMath.BASIS_POINTS_DIVISOR * 365 days, 
            OrigamiMath.Rounding.ROUND_DOWN
        );
    }

    /// @dev collect the accrued performance fees by minting new shares.
    function _collectPerformanceFees() internal returns (uint256 amount) {
        amount = accruedPerformanceFee();
        if (amount != 0) {
            address _feeCollector = feeCollector;
            emit PerformanceFeesCollected(_feeCollector, amount);

            // Do not need to check vs maxTotalSupply here as it is
            // only for new user investments
            _mint(_feeCollector, amount);
        }

        lastPerformanceFeeTime = uint48(block.timestamp);
    }

    /// @dev A hook for joins - it must pull assets from caller and send liabilities to receiver,
    /// along with any other interactions required.
    function _joinPreMintHook(
        TBSState memory $,
        address caller,
        address receiver,
        uint256 /*shares*/,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) internal override {
        // Transfer assets from the caller to the manager then join
        for (uint256 i; i < assets.length; ++i) {
            IERC20($.assetAddresses[i]).safeTransferFrom(caller, address(_manager), assets[i]);
        }

        // The aggregated and underlying 'per adapter' balance sheet data is passed through as calldata
        // to save potentially expensive calls duplicating the effort in the manager.
        // It also ensures consistency
        IOpalManager.BalanceSheetData memory bsData = IOpalManager.BalanceSheetData({
            aggregatedBalanceSheet: IOpalManager.AssetsAndLiabilities($.assetBalances, $.liabilityBalances),
            perAdapterBS: $.balanceSheetData
        });

        _manager.join(assets, liabilities, receiver, bsData);
    }

    /// @dev A hook for exits - it must send assets to receiver and pull liabilities from caller,
    /// along with any other interactions required.
    function _exitPreBurnHook(
        TBSState memory $,
        address caller,
        address /*sharesOwner*/,
        address receiver,
        uint256 /*shares*/,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) internal override {
        // Transfer liabilities from the caller to the manager then exit
        for (uint256 i; i < liabilities.length; ++i) {
            IERC20($.liabilityAddresses[i]).safeTransferFrom(caller, address(_manager), liabilities[i]);
        }
        
        // The aggregated and underlying 'per adapter' balance sheet data is passed through as calldata
        // to save potentially expensive calls duplicating the effort in the manager.
        // It also ensures consistency
        IOpalManager.BalanceSheetData memory bsData = IOpalManager.BalanceSheetData({
            aggregatedBalanceSheet: IOpalManager.AssetsAndLiabilities($.assetBalances, $.liabilityBalances),
            perAdapterBS: $.balanceSheetData
        });

        _manager.exit(assets, liabilities, receiver, bsData);
    }

    /// @dev Calculate the maximum shares possible by converting each of the max join/exit amounts of underlying tokens into shares
    /// and returning the minimum.
    function _maxSharesFromTokens(
        uint256[] memory tokenBalances,
        uint256[] memory managerMaxTokens,
        uint256 _totalSupply,
        uint256 prevMaxShares
    ) private pure returns (uint256 maxShares) {
        uint256 _shares;
        maxShares = prevMaxShares;
        uint256 totalTokenBalance;
        uint256 maxTokens;
        for (uint256 i; i < managerMaxTokens.length; ++i) {
            // If the token balance of this asset is zero then it wont contribute to what 
            // can be joined into the vault, so can be skipped
            totalTokenBalance = tokenBalances[i];
            if (totalTokenBalance == 0) continue;

            // Also skip if it is uncapped
            maxTokens = managerMaxTokens[i];
            if (maxTokens == type(uint256).max) continue;

            // Convert the amount to shares, rounding down to ensure joins/exits will work for all valid tokens or shares
            // given the max constraints
            _shares = TBSLib.tokenToShares(maxTokens, totalTokenBalance, _totalSupply, OrigamiMath.Rounding.ROUND_DOWN);

            // Update the minimum value if necessary
            if (_shares < maxShares) maxShares = _shares;
        }
    }

    /// @dev The least amount of shares that joinWithShares can be called, given the two constraints:
    ///   1/ The maxTotalSupply based free shares capacity
    ///   2/ The underyling manager maxJoin amounts for each token in the balance sheet
    function _leastOfMaxJoinWithShares(
        TBSState memory $
    ) private view returns (uint256 maxShares) {
        // Given the maximum underlying asset/liability amounts which can be joined into the underlying adapters in the manager
        // calculate the maximum shares for each token and take the overall minimum.
        {
            (uint256[] memory maxAssets, uint256[] memory maxLiabilities) = _manager.maxJoin();

            // Starts at type(uint256).max then takes the minimum shares allowed for each token
            // Round down to ensure joinWithShares() will succeed for both assets and liabilities
            maxShares = _maxSharesFromTokens($.assetBalances, maxAssets, $.totalSupply, type(uint256).max);
            maxShares = _maxSharesFromTokens($.liabilityBalances, maxLiabilities, $.totalSupply, maxShares);

            // Calculate the shares before the exit fee is taken on the shares.
            // Inverse of the fees being taken in _previewJoinWithShares();
            if (maxShares < type(uint256).max) maxShares = maxShares.subtractBps(joinFeeBps(), OrigamiMath.Rounding.ROUND_DOWN);
        }

        // Use the min of what the total supply capacity based max is (calculated in the base implementation), 
        // and the maximum allowed by the manager assets above.
        // NOTE joinWithShares() will only use this base implementation as a precondition check rather than checking each underlying adapter
        // as above. This is because this calc is gas intensive, and will revert anyway in the case that the underlying adapter cannot join
        // with the requested tokens.
        uint256 maxSharesGivenTotalSupplyCap = _maxJoinWithShares($.totalSupply);
        if (maxSharesGivenTotalSupplyCap < maxShares) maxShares = maxSharesGivenTotalSupplyCap;
    }

    /// @dev The least amount of shares that exitWithShares can be called, given the two constraints:
    ///   1/ The balance of shares `sharesOwner` holds
    ///   2/ The underyling manager maxExit amounts for each token in the balance sheet
    function _leastOfMaxExitWithShares(
        TBSState memory $,
        address sharesOwner
    ) private view returns (uint256 maxShares) {
        // Given the maximum underlying asset/liability amounts which can be exited from the underlying adapters in the manager
        // calculate the maximum shares for each token and take the overall minimum.
        {
            (uint256[] memory maxAssets, uint256[] memory maxLiabilities) = _manager.maxExit();

            // Starts at type(uint256).max then takes the minimum shares allowed for each token
            // Round down to ensure exitWithShares() will succeed for both assets and liabilities
            maxShares = _maxSharesFromTokens($.assetBalances, maxAssets, $.totalSupply, type(uint256).max);
            maxShares = _maxSharesFromTokens($.liabilityBalances, maxLiabilities, $.totalSupply, maxShares);

            // Calculate the shares before the exit fee is taken on the shares.
            // Inverse of the fees being taken in _previewExitWithShares();
            if (maxShares < type(uint256).max) maxShares = maxShares.inverseSubtractBps(exitFeeBps(), OrigamiMath.Rounding.ROUND_UP);
        }

        // Use the min of what the total supply capacity based max is (calculated in the base implementation), 
        // and the maximum allowed by the manager assets above.
        // NOTE exitWithShares() will only use this base implementation as a precondition check rather than checking each underlying adapter
        // as above. This is because this calc is gas intensive, and will revert anyway in the case that the underlying adapter cannot exit
        // with the requested tokens.
        uint256 maxSharesGivenTotalSupplyCap = _maxExitWithShares(sharesOwner);
        if (maxSharesGivenTotalSupplyCap < maxShares) maxShares = maxSharesGivenTotalSupplyCap;
    }

    /// @dev Convert the maxShares into the max amount of tokens possible
    function _maxSharesToInputToken(
        TBSState memory $,
        uint256 maxShares
    ) private pure returns (uint256) {
        // Find the current balance of the `tokenAddress` given the balance sheet.
        uint256 tokenBalance = $.inputTokenBalance();
        if (tokenBalance == 0) return 0;

        if (maxShares == type(uint256).max) return maxShares;

        // This always needs to round down to ensure joinWithToken / exitWithToken is always less than the
        // underlying adapter caps
        return TBSLib.sharesToToken(
            maxShares,
            tokenBalance,
            $.totalSupply,
            OrigamiMath.Rounding.ROUND_DOWN
        );
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.20;

abstract contract OwnableOFT {
    modifier onlyOFTOwner() virtual;
}

// @dev Example to use OpenZeppelin's Ownable:
/**
    import { Ownable } from "@openzeppelin/contracts/access/Ownable.sol";
    contract OZOwnableOFT is OwnableOFT, Ownable {
        modifier onlyOFTOwner() override {
            _checkOwner();
            _;
        }
    }
*/

// @dev Example to use Origami's OnlyElevatedAccess:
/**
    import { OrigamiElevatedAccess } from "contracts/common/access/OrigamiElevatedAccess.sol";

    contract OrigamiOwnableOFT is OwnableOFT, OrigamiElevatedAccess {
        modifier onlyOFTOwner() override {
            if (!isElevatedAccess(msg.sender, msg.sig)) revert CommonEventsAndErrors.InvalidAccess();
            _;
        }
    }
*/

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.20;

import { ILayerZeroEndpointV2 } from "@layerzerolabs/lz-evm-protocol-v2/contracts/interfaces/ILayerZeroEndpointV2.sol";

/**
 * @title IOAppCore
 */
interface IOAppCore {
    // Custom error messages
    error OnlyPeer(uint32 eid, bytes32 sender);
    error NoPeer(uint32 eid);
    error InvalidEndpointCall();
    error InvalidDelegate();

    // Event emitted when a peer (OApp) is set for a corresponding endpoint
    event PeerSet(uint32 eid, bytes32 peer);

    /**
     * @notice Retrieves the OApp version information.
     * @return senderVersion The version of the OAppSender.sol contract.
     * @return receiverVersion The version of the OAppReceiver.sol contract.
     */
    function oAppVersion() external view returns (uint64 senderVersion, uint64 receiverVersion);

    /**
     * @notice Retrieves the LayerZero endpoint associated with the OApp.
     * @return iEndpoint The LayerZero endpoint as an interface.
     */
    function endpoint() external view returns (ILayerZeroEndpointV2 iEndpoint);

    /**
     * @notice Retrieves the peer (OApp) associated with a corresponding endpoint.
     * @param _eid The endpoint ID.
     * @return peer The peer address (OApp instance) associated with the corresponding endpoint.
     */
    function peers(uint32 _eid) external view returns (bytes32 peer);

    /**
     * @notice Sets the peer address (OApp instance) for a corresponding endpoint.
     * @param _eid The endpoint ID.
     * @param _peer The address of the peer to be associated with the corresponding endpoint.
     */
    function setPeer(uint32 _eid, bytes32 _peer) external;

    /**
     * @notice Sets the delegate address for the OApp Core.
     * @param _delegate The address of the delegate to be set.
     */
    function setDelegate(address _delegate) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.20;

import { OwnableOFT } from "../access/OwnableOFT.sol";
import { IOAppCore, ILayerZeroEndpointV2 } from "./interfaces/IOAppCore.sol";

/**
 * @title OAppCore
 * @dev Abstract contract implementing the IOAppCore interface with basic OApp configurations.
 */
abstract contract OAppCore is IOAppCore, OwnableOFT {
    // The LayerZero endpoint associated with the given OApp
    ILayerZeroEndpointV2 public immutable endpoint;

    // Mapping to store peers associated with corresponding endpoints
    mapping(uint32 eid => bytes32 peer) public peers;

    /**
     * @dev Constructor to initialize the OAppCore with the provided endpoint and delegate.
     * @param _endpoint The address of the LOCAL Layer Zero endpoint.
     * @param _delegate The delegate capable of making OApp configurations inside of the endpoint.
     *
     * @dev The delegate typically should be set as the owner of the contract.
     */
    constructor(address _endpoint, address _delegate) {
        endpoint = ILayerZeroEndpointV2(_endpoint);

        if (_delegate == address(0)) revert InvalidDelegate();
        endpoint.setDelegate(_delegate);
    }

    /**
     * @notice Sets the peer address (OApp instance) for a corresponding endpoint.
     * @param _eid The endpoint ID.
     * @param _peer The address of the peer to be associated with the corresponding endpoint.
     *
     * @dev Only the owner/admin of the OApp can call this function.
     * @dev Indicates that the peer is trusted to send LayerZero messages to this OApp.
     * @dev Set this to bytes32(0) to remove the peer address.
     * @dev Peer is a bytes32 to accommodate non-evm chains.
     */
    function setPeer(uint32 _eid, bytes32 _peer) public virtual onlyOFTOwner {
        _setPeer(_eid, _peer);
    }

    /**
     * @notice Sets the peer address (OApp instance) for a corresponding endpoint.
     * @param _eid The endpoint ID.
     * @param _peer The address of the peer to be associated with the corresponding endpoint.
     *
     * @dev Indicates that the peer is trusted to send LayerZero messages to this OApp.
     * @dev Set this to bytes32(0) to remove the peer address.
     * @dev Peer is a bytes32 to accommodate non-evm chains.
     */
    function _setPeer(uint32 _eid, bytes32 _peer) internal virtual {
        peers[_eid] = _peer;
        emit PeerSet(_eid, _peer);
    }

    /**
     * @notice Internal function to get the peer address associated with a specific endpoint; reverts if NOT set.
     * ie. the peer is set to bytes32(0).
     * @param _eid The endpoint ID.
     * @return peer The address of the peer associated with the specified endpoint.
     */
    function _getPeerOrRevert(uint32 _eid) internal view virtual returns (bytes32) {
        bytes32 peer = peers[_eid];
        if (peer == bytes32(0)) revert NoPeer(_eid);
        return peer;
    }

    /**
     * @notice Sets the delegate address for the OApp.
     * @param _delegate The address of the delegate to be set.
     *
     * @dev Only the owner/admin of the OApp can call this function.
     * @dev Provides the ability for a delegate to set configs, on behalf of the OApp, directly on the Endpoint contract.
     */
    function setDelegate(address _delegate) public onlyOFTOwner {
        endpoint.setDelegate(_delegate);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.20;

import { SafeERC20, IERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import { MessagingParams, MessagingFee, MessagingReceipt } from "@layerzerolabs/lz-evm-protocol-v2/contracts/interfaces/ILayerZeroEndpointV2.sol";
import { OAppCore } from "./OAppCore.sol";

/**
 * @title OAppSender
 * @dev Abstract contract implementing the OAppSender functionality for sending messages to a LayerZero endpoint.
 */
abstract contract OAppSender is OAppCore {
    using SafeERC20 for IERC20;

    // Custom error messages
    error NotEnoughNative(uint256 msgValue);
    error LzTokenUnavailable();

    // @dev The version of the OAppSender implementation.
    // @dev Version is bumped when changes are made to this contract.
    uint64 internal constant SENDER_VERSION = 1;

    /**
     * @notice Retrieves the OApp version information.
     * @return senderVersion The version of the OAppSender.sol contract.
     * @return receiverVersion The version of the OAppReceiver.sol contract.
     *
     * @dev Providing 0 as the default for OAppReceiver version. Indicates that the OAppReceiver is not implemented.
     * ie. this is a SEND only OApp.
     * @dev If the OApp uses both OAppSender and OAppReceiver, then this needs to be override returning the correct versions
     */
    function oAppVersion() public view virtual returns (uint64 senderVersion, uint64 receiverVersion) {
        return (SENDER_VERSION, 0);
    }

    /**
     * @dev Internal function to interact with the LayerZero EndpointV2.quote() for fee calculation.
     * @param _dstEid The destination endpoint ID.
     * @param _message The message payload.
     * @param _options Additional options for the message.
     * @param _payInLzToken Flag indicating whether to pay the fee in LZ tokens.
     * @return fee The calculated MessagingFee for the message.
     *      - nativeFee: The native fee for the message.
     *      - lzTokenFee: The LZ token fee for the message.
     */
    function _quote(
        uint32 _dstEid,
        bytes memory _message,
        bytes memory _options,
        bool _payInLzToken
    ) internal view virtual returns (MessagingFee memory fee) {
        return
            endpoint.quote(
                MessagingParams(_dstEid, _getPeerOrRevert(_dstEid), _message, _options, _payInLzToken),
                address(this)
            );
    }

    /**
     * @dev Internal function to interact with the LayerZero EndpointV2.send() for sending a message.
     * @param _dstEid The destination endpoint ID.
     * @param _message The message payload.
     * @param _options Additional options for the message.
     * @param _fee The calculated LayerZero fee for the message.
     *      - nativeFee: The native fee.
     *      - lzTokenFee: The lzToken fee.
     * @param _refundAddress The address to receive any excess fee values sent to the endpoint.
     * @return receipt The receipt for the sent message.
     *      - guid: The unique identifier for the sent message.
     *      - nonce: The nonce of the sent message.
     *      - fee: The LayerZero fee incurred for the message.
     */
    function _lzSend(
        uint32 _dstEid,
        bytes memory _message,
        bytes memory _options,
        MessagingFee memory _fee,
        address _refundAddress
    ) internal virtual returns (MessagingReceipt memory receipt) {
        // @dev Push corresponding fees to the endpoint, any excess is sent back to the _refundAddress from the endpoint.
        uint256 messageValue = _payNative(_fee.nativeFee);
        if (_fee.lzTokenFee > 0) _payLzToken(_fee.lzTokenFee);

        return
            // solhint-disable-next-line check-send-result
            endpoint.send{ value: messageValue }(
                MessagingParams(_dstEid, _getPeerOrRevert(_dstEid), _message, _options, _fee.lzTokenFee > 0),
                _refundAddress
            );
    }

    /**
     * @dev Internal function to pay the native fee associated with the message.
     * @param _nativeFee The native fee to be paid.
     * @return nativeFee The amount of native currency paid.
     *
     * @dev If the OApp needs to initiate MULTIPLE LayerZero messages in a single transaction,
     * this will need to be overridden because msg.value would contain multiple lzFees.
     * @dev Should be overridden in the event the LayerZero endpoint requires a different native currency.
     * @dev Some EVMs use an ERC20 as a method for paying transactions/gasFees.
     * @dev The endpoint is EITHER/OR, ie. it will NOT support both types of native payment at a time.
     */
    function _payNative(uint256 _nativeFee) internal virtual returns (uint256 nativeFee) {
        if (msg.value != _nativeFee) revert NotEnoughNative(msg.value);
        return _nativeFee;
    }

    /**
     * @dev Internal function to pay the LZ token fee associated with the message.
     * @param _lzTokenFee The LZ token fee to be paid.
     *
     * @dev If the caller is trying to pay in the specified lzToken, then the lzTokenFee is passed to the endpoint.
     * @dev Any excess sent, is passed back to the specified _refundAddress in the _lzSend().
     */
    function _payLzToken(uint256 _lzTokenFee) internal virtual {
        // @dev Cannot cache the token because it is not immutable in the endpoint.
        address lzToken = endpoint.lzToken();
        if (lzToken == address(0)) revert LzTokenUnavailable();

        // Pay LZ token fee by sending tokens to the endpoint.
        IERC20(lzToken).safeTransferFrom(msg.sender, address(endpoint), _lzTokenFee);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.20;

import { MessagingReceipt, MessagingFee } from "../../oapp/OAppSender.sol";

/**
 * @dev Struct representing token parameters for the OFT send() operation.
 */
struct SendParam {
    uint32 dstEid; // Destination endpoint ID.
    bytes32 to; // Recipient address.
    uint256 amountLD; // Amount to send in local decimals.
    uint256 minAmountLD; // Minimum amount to send in local decimals.
    bytes extraOptions; // Additional options supplied by the caller to be used in the LayerZero message.
    bytes composeMsg; // The composed message for the send() operation.
    bytes oftCmd; // The OFT command to be executed, unused in default OFT implementations.
}

/**
 * @dev Struct representing OFT limit information.
 * @dev These amounts can change dynamically and are up the the specific oft implementation.
 */
struct OFTLimit {
    uint256 minAmountLD; // Minimum amount in local decimals that can be sent to the recipient.
    uint256 maxAmountLD; // Maximum amount in local decimals that can be sent to the recipient.
}

/**
 * @dev Struct representing OFT receipt information.
 */
struct OFTReceipt {
    uint256 amountSentLD; // Amount of tokens ACTUALLY debited from the sender in local decimals.
    // @dev In non-default implementations, the amountReceivedLD COULD differ from this value.
    uint256 amountReceivedLD; // Amount of tokens to be received on the remote side.
}

/**
 * @dev Struct representing OFT fee details.
 * @dev Future proof mechanism to provide a standardized way to communicate fees to things like a UI.
 */
struct OFTFeeDetail {
    int256 feeAmountLD; // Amount of the fee in local decimals.
    string description; // Description of the fee.
}

/**
 * @title IOFT
 * @dev Interface for the OftChain (OFT) token.
 * @dev Does not inherit ERC20 to accommodate usage by OFTAdapter as well.
 * @dev This specific interface ID is '0x02e49c2c'.
 */
interface IOFT {
    // Custom error messages
    error InvalidLocalDecimals();
    error SlippageExceeded(uint256 amountLD, uint256 minAmountLD);

    // Events
    event OFTSent(
        bytes32 indexed guid, // GUID of the OFT message.
        uint32 dstEid, // Destination Endpoint ID.
        address indexed fromAddress, // Address of the sender on the src chain.
        uint256 amountSentLD, // Amount of tokens sent in local decimals.
        uint256 amountReceivedLD // Amount of tokens received in local decimals.
    );
    event OFTReceived(
        bytes32 indexed guid, // GUID of the OFT message.
        uint32 srcEid, // Source Endpoint ID.
        address indexed toAddress, // Address of the recipient on the dst chain.
        uint256 amountReceivedLD // Amount of tokens received in local decimals.
    );

    /**
     * @notice Retrieves interfaceID and the version of the OFT.
     * @return interfaceId The interface ID.
     * @return version The version.
     *
     * @dev interfaceId: This specific interface ID is '0x02e49c2c'.
     * @dev version: Indicates a cross-chain compatible msg encoding with other OFTs.
     * @dev If a new feature is added to the OFT cross-chain msg encoding, the version will be incremented.
     * ie. localOFT version(x,1) CAN send messages to remoteOFT version(x,1)
     */
    function oftVersion() external view returns (bytes4 interfaceId, uint64 version);

    /**
     * @notice Retrieves the address of the token associated with the OFT.
     * @return token The address of the ERC20 token implementation.
     */
    function token() external view returns (address);

    /**
     * @notice Indicates whether the OFT contract requires approval of the 'token()' to send.
     * @return requiresApproval Needs approval of the underlying token implementation.
     *
     * @dev Allows things like wallet implementers to determine integration requirements,
     * without understanding the underlying token implementation.
     */
    function approvalRequired() external view returns (bool);

    /**
     * @notice Retrieves the shared decimals of the OFT.
     * @return sharedDecimals The shared decimals of the OFT.
     */
    function sharedDecimals() external view returns (uint8);

    /**
     * @notice Provides a quote for OFT-related operations.
     * @param _sendParam The parameters for the send operation.
     * @return limit The OFT limit information.
     * @return oftFeeDetails The details of OFT fees.
     * @return receipt The OFT receipt information.
     */
    function quoteOFT(
        SendParam calldata _sendParam
    ) external view returns (OFTLimit memory, OFTFeeDetail[] memory oftFeeDetails, OFTReceipt memory);

    /**
     * @notice Provides a quote for the send() operation.
     * @param _sendParam The parameters for the send() operation.
     * @param _payInLzToken Flag indicating whether the caller is paying in the LZ token.
     * @return fee The calculated LayerZero messaging fee from the send() operation.
     *
     * @dev MessagingFee: LayerZero msg fee
     *  - nativeFee: The native fee.
     *  - lzTokenFee: The lzToken fee.
     */
    function quoteSend(SendParam calldata _sendParam, bool _payInLzToken) external view returns (MessagingFee memory);

    /**
     * @notice Executes the send() operation.
     * @param _sendParam The parameters for the send operation.
     * @param _fee The fee information supplied by the caller.
     *      - nativeFee: The native fee.
     *      - lzTokenFee: The lzToken fee.
     * @param _refundAddress The address to receive any excess funds from fees etc. on the src.
     * @return receipt The LayerZero messaging receipt from the send() operation.
     * @return oftReceipt The OFT receipt information.
     *
     * @dev MessagingReceipt: LayerZero msg receipt
     *  - guid: The unique identifier for the sent message.
     *  - nonce: The nonce of the sent message.
     *  - fee: The LayerZero fee incurred for the message.
     */
    function send(
        SendParam calldata _sendParam,
        MessagingFee calldata _fee,
        address _refundAddress
    ) external payable returns (MessagingReceipt memory, OFTReceipt memory);
}

// SPDX-License-Identifier: MIT

pragma solidity >=0.8.0;

import { IMessageLibManager } from "./IMessageLibManager.sol";
import { IMessagingComposer } from "./IMessagingComposer.sol";
import { IMessagingChannel } from "./IMessagingChannel.sol";
import { IMessagingContext } from "./IMessagingContext.sol";

struct MessagingParams {
    uint32 dstEid;
    bytes32 receiver;
    bytes message;
    bytes options;
    bool payInLzToken;
}

struct MessagingReceipt {
    bytes32 guid;
    uint64 nonce;
    MessagingFee fee;
}

struct MessagingFee {
    uint256 nativeFee;
    uint256 lzTokenFee;
}

struct Origin {
    uint32 srcEid;
    bytes32 sender;
    uint64 nonce;
}

interface ILayerZeroEndpointV2 is IMessageLibManager, IMessagingComposer, IMessagingChannel, IMessagingContext {
    event PacketSent(bytes encodedPayload, bytes options, address sendLibrary);

    event PacketVerified(Origin origin, address receiver, bytes32 payloadHash);

    event PacketDelivered(Origin origin, address receiver);

    event LzReceiveAlert(
        address indexed receiver,
        address indexed executor,
        Origin origin,
        bytes32 guid,
        uint256 gas,
        uint256 value,
        bytes message,
        bytes extraData,
        bytes reason
    );

    event LzTokenSet(address token);

    event DelegateSet(address sender, address delegate);

    function quote(MessagingParams calldata _params, address _sender) external view returns (MessagingFee memory);

    function send(
        MessagingParams calldata _params,
        address _refundAddress
    ) external payable returns (MessagingReceipt memory);

    function verify(Origin calldata _origin, address _receiver, bytes32 _payloadHash) external;

    function verifiable(Origin calldata _origin, address _receiver) external view returns (bool);

    function initializable(Origin calldata _origin, address _receiver) external view returns (bool);

    function lzReceive(
        Origin calldata _origin,
        address _receiver,
        bytes32 _guid,
        bytes calldata _message,
        bytes calldata _extraData
    ) external payable;

    // oapp can burn messages partially by calling this function with its own business logic if messages are verified in order
    function clear(address _oapp, Origin calldata _origin, bytes32 _guid, bytes calldata _message) external;

    function setLzToken(address _lzToken) external;

    function lzToken() external view returns (address);

    function nativeToken() external view returns (address);

    function setDelegate(address _delegate) external;
}

// SPDX-License-Identifier: MIT

pragma solidity >=0.8.0;

struct SetConfigParam {
    uint32 eid;
    uint32 configType;
    bytes config;
}

interface IMessageLibManager {
    struct Timeout {
        address lib;
        uint256 expiry;
    }

    event LibraryRegistered(address newLib);
    event DefaultSendLibrarySet(uint32 eid, address newLib);
    event DefaultReceiveLibrarySet(uint32 eid, address newLib);
    event DefaultReceiveLibraryTimeoutSet(uint32 eid, address oldLib, uint256 expiry);
    event SendLibrarySet(address sender, uint32 eid, address newLib);
    event ReceiveLibrarySet(address receiver, uint32 eid, address newLib);
    event ReceiveLibraryTimeoutSet(address receiver, uint32 eid, address oldLib, uint256 timeout);

    function registerLibrary(address _lib) external;

    function isRegisteredLibrary(address _lib) external view returns (bool);

    function getRegisteredLibraries() external view returns (address[] memory);

    function setDefaultSendLibrary(uint32 _eid, address _newLib) external;

    function defaultSendLibrary(uint32 _eid) external view returns (address);

    function setDefaultReceiveLibrary(uint32 _eid, address _newLib, uint256 _timeout) external;

    function defaultReceiveLibrary(uint32 _eid) external view returns (address);

    function setDefaultReceiveLibraryTimeout(uint32 _eid, address _lib, uint256 _expiry) external;

    function defaultReceiveLibraryTimeout(uint32 _eid) external view returns (address lib, uint256 expiry);

    function isSupportedEid(uint32 _eid) external view returns (bool);

    function isValidReceiveLibrary(address _receiver, uint32 _eid, address _lib) external view returns (bool);

    /// ------------------- OApp interfaces -------------------
    function setSendLibrary(address _oapp, uint32 _eid, address _newLib) external;

    function getSendLibrary(address _sender, uint32 _eid) external view returns (address lib);

    function isDefaultSendLibrary(address _sender, uint32 _eid) external view returns (bool);

    function setReceiveLibrary(address _oapp, uint32 _eid, address _newLib, uint256 _gracePeriod) external;

    function getReceiveLibrary(address _receiver, uint32 _eid) external view returns (address lib, bool isDefault);

    function setReceiveLibraryTimeout(address _oapp, uint32 _eid, address _lib, uint256 _gracePeriod) external;

    function receiveLibraryTimeout(address _receiver, uint32 _eid) external view returns (address lib, uint256 expiry);

    function setConfig(address _oapp, address _lib, SetConfigParam[] calldata _params) external;

    function getConfig(
        address _oapp,
        address _lib,
        uint32 _eid,
        uint32 _configType
    ) external view returns (bytes memory config);
}

// SPDX-License-Identifier: MIT

pragma solidity >=0.8.0;

interface IMessagingChannel {
    event InboundNonceSkipped(uint32 srcEid, bytes32 sender, address receiver, uint64 nonce);
    event PacketNilified(uint32 srcEid, bytes32 sender, address receiver, uint64 nonce, bytes32 payloadHash);
    event PacketBurnt(uint32 srcEid, bytes32 sender, address receiver, uint64 nonce, bytes32 payloadHash);

    function eid() external view returns (uint32);

    // this is an emergency function if a message cannot be verified for some reasons
    // required to provide _nextNonce to avoid race condition
    function skip(address _oapp, uint32 _srcEid, bytes32 _sender, uint64 _nonce) external;

    function nilify(address _oapp, uint32 _srcEid, bytes32 _sender, uint64 _nonce, bytes32 _payloadHash) external;

    function burn(address _oapp, uint32 _srcEid, bytes32 _sender, uint64 _nonce, bytes32 _payloadHash) external;

    function nextGuid(address _sender, uint32 _dstEid, bytes32 _receiver) external view returns (bytes32);

    function inboundNonce(address _receiver, uint32 _srcEid, bytes32 _sender) external view returns (uint64);

    function outboundNonce(address _sender, uint32 _dstEid, bytes32 _receiver) external view returns (uint64);

    function inboundPayloadHash(
        address _receiver,
        uint32 _srcEid,
        bytes32 _sender,
        uint64 _nonce
    ) external view returns (bytes32);

    function lazyInboundNonce(address _receiver, uint32 _srcEid, bytes32 _sender) external view returns (uint64);
}

// SPDX-License-Identifier: MIT

pragma solidity >=0.8.0;

interface IMessagingComposer {
    event ComposeSent(address from, address to, bytes32 guid, uint16 index, bytes message);
    event ComposeDelivered(address from, address to, bytes32 guid, uint16 index);
    event LzComposeAlert(
        address indexed from,
        address indexed to,
        address indexed executor,
        bytes32 guid,
        uint16 index,
        uint256 gas,
        uint256 value,
        bytes message,
        bytes extraData,
        bytes reason
    );

    function composeQueue(
        address _from,
        address _to,
        bytes32 _guid,
        uint16 _index
    ) external view returns (bytes32 messageHash);

    function sendCompose(address _to, bytes32 _guid, uint16 _index, bytes calldata _message) external;

    function lzCompose(
        address _from,
        address _to,
        bytes32 _guid,
        uint16 _index,
        bytes calldata _message,
        bytes calldata _extraData
    ) external payable;
}

// SPDX-License-Identifier: MIT

pragma solidity >=0.8.0;

interface IMessagingContext {
    function isSendingMessage() external view returns (bool);

    function getSendContext() external view returns (uint32 dstEid, address sender);
}

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

pragma solidity ^0.8.0;

import "../utils/introspection/IERC165.sol";

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC5267.sol)

pragma solidity ^0.8.0;

interface IERC5267 {
    /**
     * @dev MAY be emitted to signal that the domain could have changed.
     */
    event EIP712DomainChanged();

    /**
     * @dev returns the fields and values that describe the domain separator used by this contract for EIP-712
     * signature.
     */
    function eip712Domain()
        external
        view
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        );
}

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

pragma solidity ^0.8.0;

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

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

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and making it call a
     * `private` function that does the actual work.
     */
    modifier nonReentrant() {
        _nonReentrantBefore();
        _;
        _nonReentrantAfter();
    }

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

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

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

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

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

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

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

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

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

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

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

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

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

        return true;
    }

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

        _beforeTokenTransfer(from, to, amount);

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

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/extensions/ERC20Permit.sol)

pragma solidity ^0.8.0;

import "./IERC20Permit.sol";
import "../ERC20.sol";
import "../../../utils/cryptography/ECDSA.sol";
import "../../../utils/cryptography/EIP712.sol";
import "../../../utils/Counters.sol";

/**
 * @dev Implementation 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.
 *
 * _Available since v3.4._
 */
abstract contract ERC20Permit is ERC20, IERC20Permit, EIP712 {
    using Counters for Counters.Counter;

    mapping(address => Counters.Counter) private _nonces;

    // solhint-disable-next-line var-name-mixedcase
    bytes32 private constant _PERMIT_TYPEHASH =
        keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)");
    /**
     * @dev In previous versions `_PERMIT_TYPEHASH` was declared as `immutable`.
     * However, to ensure consistency with the upgradeable transpiler, we will continue
     * to reserve a slot.
     * @custom:oz-renamed-from _PERMIT_TYPEHASH
     */
    // solhint-disable-next-line var-name-mixedcase
    bytes32 private _PERMIT_TYPEHASH_DEPRECATED_SLOT;

    /**
     * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
     *
     * It's a good idea to use the same `name` that is defined as the ERC20 token name.
     */
    constructor(string memory name) EIP712(name, "1") {}

    /**
     * @dev See {IERC20Permit-permit}.
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual override {
        require(block.timestamp <= deadline, "ERC20Permit: expired deadline");

        bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPEHASH, owner, spender, value, _useNonce(owner), deadline));

        bytes32 hash = _hashTypedDataV4(structHash);

        address signer = ECDSA.recover(hash, v, r, s);
        require(signer == owner, "ERC20Permit: invalid signature");

        _approve(owner, spender, value);
    }

    /**
     * @dev See {IERC20Permit-nonces}.
     */
    function nonces(address owner) public view virtual override returns (uint256) {
        return _nonces[owner].current();
    }

    /**
     * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view override returns (bytes32) {
        return _domainSeparatorV4();
    }

    /**
     * @dev "Consume a nonce": return the current value and increment.
     *
     * _Available since v4.1._
     */
    function _useNonce(address owner) internal virtual returns (uint256 current) {
        Counters.Counter storage nonce = _nonces[owner];
        current = nonce.current();
        nonce.increment();
    }
}

// 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
// OpenZeppelin Contracts v4.4.1 (utils/Context.sol)

pragma solidity ^0.8.0;

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

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

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

pragma solidity ^0.8.0;

/**
 * @title Counters
 * @author Matt Condon (@shrugs)
 * @dev Provides counters that can only be incremented, decremented or reset. This can be used e.g. to track the number
 * of elements in a mapping, issuing ERC721 ids, or counting request ids.
 *
 * Include with `using Counters for Counters.Counter;`
 */
library Counters {
    struct Counter {
        // This variable should never be directly accessed by users of the library: interactions must be restricted to
        // the library's function. As of Solidity v0.5.2, this cannot be enforced, though there is a proposal to add
        // this feature: see https://github.com/ethereum/solidity/issues/4637
        uint256 _value; // default: 0
    }

    function current(Counter storage counter) internal view returns (uint256) {
        return counter._value;
    }

    function increment(Counter storage counter) internal {
        unchecked {
            counter._value += 1;
        }
    }

    function decrement(Counter storage counter) internal {
        uint256 value = counter._value;
        require(value > 0, "Counter: decrement overflow");
        unchecked {
            counter._value = value - 1;
        }
    }

    function reset(Counter storage counter) internal {
        counter._value = 0;
    }
}

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

pragma solidity ^0.8.0;

import "../Strings.sol";

/**
 * @dev Elliptic Curve Digital Signature Algorithm (ECDSA) operations.
 *
 * These functions can be used to verify that a message was signed by the holder
 * of the private keys of a given address.
 */
library ECDSA {
    enum RecoverError {
        NoError,
        InvalidSignature,
        InvalidSignatureLength,
        InvalidSignatureS,
        InvalidSignatureV // Deprecated in v4.8
    }

    function _throwError(RecoverError error) private pure {
        if (error == RecoverError.NoError) {
            return; // no error: do nothing
        } else if (error == RecoverError.InvalidSignature) {
            revert("ECDSA: invalid signature");
        } else if (error == RecoverError.InvalidSignatureLength) {
            revert("ECDSA: invalid signature length");
        } else if (error == RecoverError.InvalidSignatureS) {
            revert("ECDSA: invalid signature 's' value");
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature` or error string. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     *
     * Documentation for signature generation:
     * - with https://web3js.readthedocs.io/en/v1.3.4/web3-eth-accounts.html#sign[Web3.js]
     * - with https://docs.ethers.io/v5/api/signer/#Signer-signMessage[ethers]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes memory signature) internal pure returns (address, RecoverError) {
        if (signature.length == 65) {
            bytes32 r;
            bytes32 s;
            uint8 v;
            // ecrecover takes the signature parameters, and the only way to get them
            // currently is to use assembly.
            /// @solidity memory-safe-assembly
            assembly {
                r := mload(add(signature, 0x20))
                s := mload(add(signature, 0x40))
                v := byte(0, mload(add(signature, 0x60)))
            }
            return tryRecover(hash, v, r, s);
        } else {
            return (address(0), RecoverError.InvalidSignatureLength);
        }
    }

    /**
     * @dev Returns the address that signed a hashed message (`hash`) with
     * `signature`. This address can then be used for verification purposes.
     *
     * The `ecrecover` EVM opcode allows for malleable (non-unique) signatures:
     * this function rejects them by requiring the `s` value to be in the lower
     * half order, and the `v` value to be either 27 or 28.
     *
     * IMPORTANT: `hash` _must_ be the result of a hash operation for the
     * verification to be secure: it is possible to craft signatures that
     * recover to arbitrary addresses for non-hashed data. A safe way to ensure
     * this is by receiving a hash of the original message (which may otherwise
     * be too long), and then calling {toEthSignedMessageHash} on it.
     */
    function recover(bytes32 hash, bytes memory signature) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, signature);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `r` and `vs` short-signature fields separately.
     *
     * See https://eips.ethereum.org/EIPS/eip-2098[EIP-2098 short signatures]
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address, RecoverError) {
        bytes32 s = vs & bytes32(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff);
        uint8 v = uint8((uint256(vs) >> 255) + 27);
        return tryRecover(hash, v, r, s);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `r and `vs` short-signature fields separately.
     *
     * _Available since v4.2._
     */
    function recover(bytes32 hash, bytes32 r, bytes32 vs) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, r, vs);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Overload of {ECDSA-tryRecover} that receives the `v`,
     * `r` and `s` signature fields separately.
     *
     * _Available since v4.3._
     */
    function tryRecover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address, RecoverError) {
        // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
        // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
        // the valid range for s in (301): 0 < s < secp256k1n ÷ 2 + 1, and for v in (302): v ∈ {27, 28}. Most
        // signatures from current libraries generate a unique signature with an s-value in the lower half order.
        //
        // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
        // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
        // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
        // these malleable signatures as well.
        if (uint256(s) > 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0) {
            return (address(0), RecoverError.InvalidSignatureS);
        }

        // If the signature is valid (and not malleable), return the signer address
        address signer = ecrecover(hash, v, r, s);
        if (signer == address(0)) {
            return (address(0), RecoverError.InvalidSignature);
        }

        return (signer, RecoverError.NoError);
    }

    /**
     * @dev Overload of {ECDSA-recover} that receives the `v`,
     * `r` and `s` signature fields separately.
     */
    function recover(bytes32 hash, uint8 v, bytes32 r, bytes32 s) internal pure returns (address) {
        (address recovered, RecoverError error) = tryRecover(hash, v, r, s);
        _throwError(error);
        return recovered;
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from a `hash`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes32 hash) internal pure returns (bytes32 message) {
        // 32 is the length in bytes of hash,
        // enforced by the type signature above
        /// @solidity memory-safe-assembly
        assembly {
            mstore(0x00, "\x19Ethereum Signed Message:\n32")
            mstore(0x1c, hash)
            message := keccak256(0x00, 0x3c)
        }
    }

    /**
     * @dev Returns an Ethereum Signed Message, created from `s`. This
     * produces hash corresponding to the one signed with the
     * https://eth.wiki/json-rpc/API#eth_sign[`eth_sign`]
     * JSON-RPC method as part of EIP-191.
     *
     * See {recover}.
     */
    function toEthSignedMessageHash(bytes memory s) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19Ethereum Signed Message:\n", Strings.toString(s.length), s));
    }

    /**
     * @dev Returns an Ethereum Signed Typed Data, created from a
     * `domainSeparator` and a `structHash`. This produces hash corresponding
     * to the one signed with the
     * https://eips.ethereum.org/EIPS/eip-712[`eth_signTypedData`]
     * JSON-RPC method as part of EIP-712.
     *
     * See {recover}.
     */
    function toTypedDataHash(bytes32 domainSeparator, bytes32 structHash) internal pure returns (bytes32 data) {
        /// @solidity memory-safe-assembly
        assembly {
            let ptr := mload(0x40)
            mstore(ptr, "\x19\x01")
            mstore(add(ptr, 0x02), domainSeparator)
            mstore(add(ptr, 0x22), structHash)
            data := keccak256(ptr, 0x42)
        }
    }

    /**
     * @dev Returns an Ethereum Signed Data with intended validator, created from a
     * `validator` and `data` according to the version 0 of EIP-191.
     *
     * See {recover}.
     */
    function toDataWithIntendedValidatorHash(address validator, bytes memory data) internal pure returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x00", validator, data));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (utils/cryptography/EIP712.sol)

pragma solidity ^0.8.8;

import "./ECDSA.sol";
import "../ShortStrings.sol";
import "../../interfaces/IERC5267.sol";

/**
 * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
 *
 * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
 * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
 * they need in their contracts using a combination of `abi.encode` and `keccak256`.
 *
 * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
 * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
 * ({_hashTypedDataV4}).
 *
 * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
 * the chain id to protect against replay attacks on an eventual fork of the chain.
 *
 * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
 * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
 *
 * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
 * separator of the implementation contract. This will cause the `_domainSeparatorV4` function to always rebuild the
 * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
 *
 * _Available since v3.4._
 *
 * @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment
 */
abstract contract EIP712 is IERC5267 {
    using ShortStrings for *;

    bytes32 private constant _TYPE_HASH =
        keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");

    // Cache the domain separator as an immutable value, but also store the chain id that it corresponds to, in order to
    // invalidate the cached domain separator if the chain id changes.
    bytes32 private immutable _cachedDomainSeparator;
    uint256 private immutable _cachedChainId;
    address private immutable _cachedThis;

    bytes32 private immutable _hashedName;
    bytes32 private immutable _hashedVersion;

    ShortString private immutable _name;
    ShortString private immutable _version;
    string private _nameFallback;
    string private _versionFallback;

    /**
     * @dev Initializes the domain separator and parameter caches.
     *
     * The meaning of `name` and `version` is specified in
     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
     *
     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
     * - `version`: the current major version of the signing domain.
     *
     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
     * contract upgrade].
     */
    constructor(string memory name, string memory version) {
        _name = name.toShortStringWithFallback(_nameFallback);
        _version = version.toShortStringWithFallback(_versionFallback);
        _hashedName = keccak256(bytes(name));
        _hashedVersion = keccak256(bytes(version));

        _cachedChainId = block.chainid;
        _cachedDomainSeparator = _buildDomainSeparator();
        _cachedThis = address(this);
    }

    /**
     * @dev Returns the domain separator for the current chain.
     */
    function _domainSeparatorV4() internal view returns (bytes32) {
        if (address(this) == _cachedThis && block.chainid == _cachedChainId) {
            return _cachedDomainSeparator;
        } else {
            return _buildDomainSeparator();
        }
    }

    function _buildDomainSeparator() private view returns (bytes32) {
        return keccak256(abi.encode(_TYPE_HASH, _hashedName, _hashedVersion, block.chainid, address(this)));
    }

    /**
     * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
     * function returns the hash of the fully encoded EIP712 message for this domain.
     *
     * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
     *
     * ```solidity
     * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
     *     keccak256("Mail(address to,string contents)"),
     *     mailTo,
     *     keccak256(bytes(mailContents))
     * )));
     * address signer = ECDSA.recover(digest, signature);
     * ```
     */
    function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
        return ECDSA.toTypedDataHash(_domainSeparatorV4(), structHash);
    }

    /**
     * @dev See {EIP-5267}.
     *
     * _Available since v4.9._
     */
    function eip712Domain()
        public
        view
        virtual
        override
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        )
    {
        return (
            hex"0f", // 01111
            _name.toStringWithFallback(_nameFallback),
            _version.toStringWithFallback(_versionFallback),
            block.chainid,
            address(this),
            bytes32(0),
            new uint256[](0)
        );
    }
}

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

pragma solidity ^0.8.0;

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol)

pragma solidity ^0.8.0;

/**
 * @dev Standard signed math utilities missing in the Solidity language.
 */
library SignedMath {
    /**
     * @dev Returns the largest of two signed numbers.
     */
    function max(int256 a, int256 b) internal pure returns (int256) {
        return a > b ? a : b;
    }

    /**
     * @dev Returns the smallest of two signed numbers.
     */
    function min(int256 a, int256 b) internal pure returns (int256) {
        return a < b ? a : b;
    }

    /**
     * @dev Returns the average of two signed numbers without overflow.
     * The result is rounded towards zero.
     */
    function average(int256 a, int256 b) internal pure returns (int256) {
        // Formula from the book "Hacker's Delight"
        int256 x = (a & b) + ((a ^ b) >> 1);
        return x + (int256(uint256(x) >> 255) & (a ^ b));
    }

    /**
     * @dev Returns the absolute unsigned value of a signed value.
     */
    function abs(int256 n) internal pure returns (uint256) {
        unchecked {
            // must be unchecked in order to support `n = type(int256).min`
            return uint256(n >= 0 ? n : -n);
        }
    }
}

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

pragma solidity ^0.8.8;

import "./StorageSlot.sol";

// | string  | 0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA   |
// | length  | 0x                                                              BB |
type ShortString is bytes32;

/**
 * @dev This library provides functions to convert short memory strings
 * into a `ShortString` type that can be used as an immutable variable.
 *
 * Strings of arbitrary length can be optimized using this library if
 * they are short enough (up to 31 bytes) by packing them with their
 * length (1 byte) in a single EVM word (32 bytes). Additionally, a
 * fallback mechanism can be used for every other case.
 *
 * Usage example:
 *
 * ```solidity
 * contract Named {
 *     using ShortStrings for *;
 *
 *     ShortString private immutable _name;
 *     string private _nameFallback;
 *
 *     constructor(string memory contractName) {
 *         _name = contractName.toShortStringWithFallback(_nameFallback);
 *     }
 *
 *     function name() external view returns (string memory) {
 *         return _name.toStringWithFallback(_nameFallback);
 *     }
 * }
 * ```
 */
library ShortStrings {
    // Used as an identifier for strings longer than 31 bytes.
    bytes32 private constant _FALLBACK_SENTINEL = 0x00000000000000000000000000000000000000000000000000000000000000FF;

    error StringTooLong(string str);
    error InvalidShortString();

    /**
     * @dev Encode a string of at most 31 chars into a `ShortString`.
     *
     * This will trigger a `StringTooLong` error is the input string is too long.
     */
    function toShortString(string memory str) internal pure returns (ShortString) {
        bytes memory bstr = bytes(str);
        if (bstr.length > 31) {
            revert StringTooLong(str);
        }
        return ShortString.wrap(bytes32(uint256(bytes32(bstr)) | bstr.length));
    }

    /**
     * @dev Decode a `ShortString` back to a "normal" string.
     */
    function toString(ShortString sstr) internal pure returns (string memory) {
        uint256 len = byteLength(sstr);
        // using `new string(len)` would work locally but is not memory safe.
        string memory str = new string(32);
        /// @solidity memory-safe-assembly
        assembly {
            mstore(str, len)
            mstore(add(str, 0x20), sstr)
        }
        return str;
    }

    /**
     * @dev Return the length of a `ShortString`.
     */
    function byteLength(ShortString sstr) internal pure returns (uint256) {
        uint256 result = uint256(ShortString.unwrap(sstr)) & 0xFF;
        if (result > 31) {
            revert InvalidShortString();
        }
        return result;
    }

    /**
     * @dev Encode a string into a `ShortString`, or write it to storage if it is too long.
     */
    function toShortStringWithFallback(string memory value, string storage store) internal returns (ShortString) {
        if (bytes(value).length < 32) {
            return toShortString(value);
        } else {
            StorageSlot.getStringSlot(store).value = value;
            return ShortString.wrap(_FALLBACK_SENTINEL);
        }
    }

    /**
     * @dev Decode a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
     */
    function toStringWithFallback(ShortString value, string storage store) internal pure returns (string memory) {
        if (ShortString.unwrap(value) != _FALLBACK_SENTINEL) {
            return toString(value);
        } else {
            return store;
        }
    }

    /**
     * @dev Return the length of a string that was encoded to `ShortString` or written to storage using {setWithFallback}.
     *
     * WARNING: This will return the "byte length" of the string. This may not reflect the actual length in terms of
     * actual characters as the UTF-8 encoding of a single character can span over multiple bytes.
     */
    function byteLengthWithFallback(ShortString value, string storage store) internal view returns (uint256) {
        if (ShortString.unwrap(value) != _FALLBACK_SENTINEL) {
            return byteLength(value);
        } else {
            return bytes(store).length;
        }
    }
}

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

pragma solidity ^0.8.0;

/**
 * @dev Library for reading and writing primitive types to specific storage slots.
 *
 * Storage slots are often used to avoid storage conflict when dealing with upgradeable contracts.
 * This library helps with reading and writing to such slots without the need for inline assembly.
 *
 * The functions in this library return Slot structs that contain a `value` member that can be used to read or write.
 *
 * Example usage to set ERC1967 implementation slot:
 * ```solidity
 * contract ERC1967 {
 *     bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;
 *
 *     function _getImplementation() internal view returns (address) {
 *         return StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value;
 *     }
 *
 *     function _setImplementation(address newImplementation) internal {
 *         require(Address.isContract(newImplementation), "ERC1967: new implementation is not a contract");
 *         StorageSlot.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
 *     }
 * }
 * ```
 *
 * _Available since v4.1 for `address`, `bool`, `bytes32`, `uint256`._
 * _Available since v4.9 for `string`, `bytes`._
 */
library StorageSlot {
    struct AddressSlot {
        address value;
    }

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

    struct StringSlot {
        string value;
    }

    struct BytesSlot {
        bytes value;
    }

    /**
     * @dev Returns an `AddressSlot` with member `value` located at `slot`.
     */
    function getAddressSlot(bytes32 slot) internal pure returns (AddressSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `BooleanSlot` with member `value` located at `slot`.
     */
    function getBooleanSlot(bytes32 slot) internal pure returns (BooleanSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `Bytes32Slot` with member `value` located at `slot`.
     */
    function getBytes32Slot(bytes32 slot) internal pure returns (Bytes32Slot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `Uint256Slot` with member `value` located at `slot`.
     */
    function getUint256Slot(bytes32 slot) internal pure returns (Uint256Slot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `StringSlot` with member `value` located at `slot`.
     */
    function getStringSlot(bytes32 slot) internal pure returns (StringSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `StringSlot` representation of the string storage pointer `store`.
     */
    function getStringSlot(string storage store) internal pure returns (StringSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := store.slot
        }
    }

    /**
     * @dev Returns an `BytesSlot` with member `value` located at `slot`.
     */
    function getBytesSlot(bytes32 slot) internal pure returns (BytesSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := slot
        }
    }

    /**
     * @dev Returns an `BytesSlot` representation of the bytes storage pointer `store`.
     */
    function getBytesSlot(bytes storage store) internal pure returns (BytesSlot storage r) {
        /// @solidity memory-safe-assembly
        assembly {
            r.slot := store.slot
        }
    }
}

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

pragma solidity ^0.8.0;

import "./math/Math.sol";
import "./math/SignedMath.sol";

/**
 * @dev String operations.
 */
library Strings {
    bytes16 private constant _SYMBOLS = "0123456789abcdef";
    uint8 private constant _ADDRESS_LENGTH = 20;

    /**
     * @dev Converts a `uint256` to its ASCII `string` decimal representation.
     */
    function toString(uint256 value) internal pure returns (string memory) {
        unchecked {
            uint256 length = Math.log10(value) + 1;
            string memory buffer = new string(length);
            uint256 ptr;
            /// @solidity memory-safe-assembly
            assembly {
                ptr := add(buffer, add(32, length))
            }
            while (true) {
                ptr--;
                /// @solidity memory-safe-assembly
                assembly {
                    mstore8(ptr, byte(mod(value, 10), _SYMBOLS))
                }
                value /= 10;
                if (value == 0) break;
            }
            return buffer;
        }
    }

    /**
     * @dev Converts a `int256` to its ASCII `string` decimal representation.
     */
    function toString(int256 value) internal pure returns (string memory) {
        return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value))));
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
     */
    function toHexString(uint256 value) internal pure returns (string memory) {
        unchecked {
            return toHexString(value, Math.log256(value) + 1);
        }
    }

    /**
     * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
     */
    function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
        bytes memory buffer = new bytes(2 * length + 2);
        buffer[0] = "0";
        buffer[1] = "x";
        for (uint256 i = 2 * length + 1; i > 1; --i) {
            buffer[i] = _SYMBOLS[value & 0xf];
            value >>= 4;
        }
        require(value == 0, "Strings: hex length insufficient");
        return string(buffer);
    }

    /**
     * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation.
     */
    function toHexString(address addr) internal pure returns (string memory) {
        return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH);
    }

    /**
     * @dev Returns true if the two strings are equal.
     */
    function equal(string memory a, string memory b) internal pure returns (bool) {
        return keccak256(bytes(a)) == keccak256(bytes(b));
    }
}

// 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() public virtual 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() {
        _onlyElevatedAccess();
        _;
    }

    function _onlyElevatedAccess() private view {
        if (!isElevatedAccess(msg.sender, msg.sig)) revert CommonEventsAndErrors.InvalidAccess();
    }
}

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

import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { IERC165 } from "@openzeppelin/contracts/interfaces/IERC165.sol";
import { IERC20Permit } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Permit.sol";
import { IERC20Metadata } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";

import { ERC20Permit } from "@openzeppelin/contracts/token/ERC20/extensions/ERC20Permit.sol";
import { ERC20 } from "@openzeppelin/contracts/token/ERC20/ERC20.sol";
import { EIP712 } from "@openzeppelin/contracts/utils/cryptography/EIP712.sol";

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

import { MessagingFee, MessagingReceipt } from "@layerzerolabs/lz-evm-protocol-v2/contracts/interfaces/ILayerZeroEndpointV2.sol";
import { SendParam, OFTReceipt } from "@layerzerolabs/lz-evm-oapp-v2/contracts/standards/oft-evm/interfaces/IOFT.sol";
import { IOFT } from "@layerzerolabs/lz-evm-oapp-v2/contracts/standards/oft-evm/interfaces/IOFT.sol";

/// @title Origami Teleportable Token
/// @notice An ERC20 token (supporting Permit) which does not require token approval to be spent
///     by the trusted teleporter. 
/// @dev There are intentionally no external mint/burn functions on this token, 
///     the teleporter is expected to be a 'locker', ie escrow the tokens.
contract OrigamiTeleportableToken is 
    ERC20Permit,
    OrigamiElevatedAccess,
    IOrigamiTeleportableToken
{
    using SafeERC20 for IERC20;
    /// @inheritdoc IOrigamiTeleportableToken
    IOFT public override teleporter;

    constructor(
        string memory name_,
        string memory symbol_,
        address initialOwner_
    )
        ERC20(name_, symbol_) 
        ERC20Permit(name_) 
        OrigamiElevatedAccess(initialOwner_)
    {}

    /// @inheritdoc IOrigamiTeleportableToken
    function setTeleporter(address newTeleporter) external override onlyElevatedAccess {
        if (newTeleporter == address(0)) revert CommonEventsAndErrors.InvalidAddress(newTeleporter);
        teleporter = IOFT(newTeleporter);
        emit TeleporterSet(newTeleporter);
    }

    /// @inheritdoc IERC20
    function allowance(address tokenOwner, address spender) public view virtual override(ERC20, IERC20) returns (uint256) {
        // If the spender is the trusted teleporter, then no approval is required.
        return spender == address(teleporter)
            ? type(uint256).max
            : super.allowance(tokenOwner, spender);
    }
    
    /// @inheritdoc IERC165
    function supportsInterface(bytes4 interfaceId) public virtual override pure returns (bool) {
        return interfaceId == type(IOrigamiTeleportableToken).interfaceId 
            || interfaceId == type(IERC20Metadata).interfaceId
            || interfaceId == type(IERC20).interfaceId
            || interfaceId == type(IERC20Permit).interfaceId
            || interfaceId == type(EIP712).interfaceId
            || interfaceId == type(IERC165).interfaceId;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       LAYER ZERO SEND                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @inheritdoc IOrigamiTeleportableToken
    function send(
        SendParam calldata sendParam,
        MessagingFee calldata fee,
        address refundAddress
    ) external payable override returns (MessagingReceipt memory msgReceipt, OFTReceipt memory oftReceipt) {
        // pull tokens to vault first. no allowance needed
        uint256 amount = sendParam.amountLD;
        _transfer(msg.sender, address(this), amount);

        // no approval, teleporter is trusted as spender
        (msgReceipt, oftReceipt) = teleporter.send{value: msg.value}(sendParam, fee, refundAddress);

        // There may be a dust refund as LZ truncates to 6 decimals by default.
        uint256 refundAmount = amount - oftReceipt.amountSentLD;
        if (refundAmount > 0) {
            _transfer(address(this), msg.sender, refundAmount);
        }
    }

    /// @inheritdoc IOrigamiTeleportableToken
    function quoteSend(
        SendParam calldata sendParam,
        bool payInLzToken
    ) external view override returns (MessagingFee memory fee) {
        fee = teleporter.quoteSend(sendParam, payInLzToken);
    }
}

pragma solidity ^0.8.19;
// SPDX-License-Identifier: AGPL-3.0-or-later

import { ITokenizedBalanceSheetVault } from "contracts/interfaces/external/tokenizedBalanceSheetVault/ITokenizedBalanceSheetVault.sol";
import { IOrigamiTokenizedBalanceSheetVault } from "contracts/interfaces/common/IOrigamiTokenizedBalanceSheetVault.sol";

import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import { IERC165 } from "@openzeppelin/contracts/interfaces/IERC165.sol";
import { SafeERC20 } from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import { ReentrancyGuard } from "@openzeppelin/contracts/security/ReentrancyGuard.sol";

import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { CommonEventsAndErrors } from "contracts/libraries/CommonEventsAndErrors.sol";
import { OrigamiTeleportableToken } from "contracts/common/omnichain/OrigamiTeleportableToken.sol";
import { OrigamiTBSLib as TBSLib, TBSState } from "contracts/libraries/OrigamiTBSLib.sol";
import { ITokenPrices } from "contracts/interfaces/common/ITokenPrices.sol";

/**
 * @title Tokenized 'Balance Sheet' Vault
 * @notice See `ITokenizedBalanceSheetVault` for more details on what a Tokenized Balance Sheet vault represents
 *
 * This Origami implementation is a more opinionated implementation:
 *  - Fees can be taken (from the shares minted/burned) on joins/exits
 *  - The vault needs to be initially seeded by elevated access prior to trading (and as such are protected from inflation style attacks)
 *  - The vault decimals are kept as 18 decimals regardless of the vault assets
 *  - Donations are allowed and will change the share price of the assets/liabilities
 *  - Assets and liabilities need to be in a tokenized form. If that's not possible then a wrapper must be used to represent the balances.
 *  - maxExitWithToken and maxExitWithShares for the sharesOwner=address(0) returns uint256.max. 
 *    This is to reflect that is no explicit exit limits other than the totalSupply. Useful for non-connected users as they browse the dapp
 */
abstract contract OrigamiTokenizedBalanceSheetVault is
    OrigamiTeleportableToken,
    ReentrancyGuard,
    IOrigamiTokenizedBalanceSheetVault
{
    using SafeERC20 for IERC20;
    using OrigamiMath for uint256;
    using TBSLib for TBSState;

    /// @dev The maximum total supply allowed for this vault.
    /// It is initially set to zero, and first set within seed()
    uint256 private _maxTotalSupply;

    /// @inheritdoc ITokenizedBalanceSheetVault
    bytes32 public override currentTokensHash;

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    ITokenPrices public override tokenPrices;

    constructor(
        address initialOwner_,
        string memory name_,
        string memory symbol_,
        address tokenPrices_
    )
        OrigamiTeleportableToken(name_, symbol_, initialOwner_)
    {
        tokenPrices = ITokenPrices(tokenPrices_);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                           ADMIN                            */
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function setMaxTotalSupply(uint256 maxTotalSupply_) external override onlyElevatedAccess {
        // Cannot set if the totalSupply is zero - seed should be used first
        if (totalSupply() == 0) revert CommonEventsAndErrors.ExpectedNonZero();

        _maxTotalSupply = maxTotalSupply_;
        emit MaxTotalSupplySet(maxTotalSupply_);
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function updateCurrentTokensHash() public virtual {
        bytes32 newHash = keccak256(abi.encode(assetTokens(), liabilityTokens()));
        if (currentTokensHash != newHash) {
            currentTokensHash = newHash;
            emit CurrentTokensHashSet(newHash);
        }
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function seed(
        uint256[] calldata assetAmounts,
        uint256[] calldata liabilityAmounts,
        uint256 sharesToMint,
        address receiver,
        uint256 newMaxTotalSupply,
        bytes calldata balanceSheetData
    ) external override virtual onlyElevatedAccess {
        // Only to be used for the first deposit
        if (totalSupply() != 0) revert CommonEventsAndErrors.InvalidAccess();

        TBSState memory $;
        {
            $.assetAddresses = assetTokens();
            $.liabilityAddresses = liabilityTokens();

            // Existing balances in the local state are set exactly to the new balance sheet amounts
            // such that any proportional based calculations are using this seed amount
            // rather than zero's for an empty vault (or if someone skews by depositing funds into the unseeded
            // contracts)
            $.assetBalances = assetAmounts;
            $.liabilityBalances = liabilityAmounts;

            // Implementation specific balance sheet data is encoded by the caller
            // For example, this could be the split across multiple positions (OPAL)
            // This may also be empty - it is unused in hOHM
            $.balanceSheetData = balanceSheetData;
        }

        // Double check the amount arrays length match the addresses length
        if (assetAmounts.length != $.assetAddresses.length) revert CommonEventsAndErrors.InvalidParam();
        if (liabilityAmounts.length != $.liabilityAddresses.length) revert CommonEventsAndErrors.InvalidParam();

        if (sharesToMint > newMaxTotalSupply) revert ExceededMaxJoinWithShares(receiver, sharesToMint, newMaxTotalSupply);
        _maxTotalSupply = newMaxTotalSupply;
        emit MaxTotalSupplySet(newMaxTotalSupply);

        _join($, msg.sender, receiver, sharesToMint, assetAmounts, liabilityAmounts);
    }

    /// @dev Elevated access can recover any token.
    /// Note: If the asset/liability balances are kept directly in this contract
    /// (rather than delegated to a manager/3rd party upon a join), then the asset/liability tokens
    /// should not be recoverable. In that case the implementation should override this function.
    function recoverToken(address token, address to, uint256 amount) virtual external onlyElevatedAccess {
        emit CommonEventsAndErrors.TokenRecovered(to, token, amount);
        IERC20(token).safeTransfer(to, amount);
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function setTokenPrices(address _tokenPrices) external override onlyElevatedAccess {
        if (_tokenPrices == address(0)) revert CommonEventsAndErrors.InvalidAddress(address(0));
        emit TokenPricesSet(_tokenPrices);
        tokenPrices = ITokenPrices(_tokenPrices);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                     ACCOUNTING LOGIC                       */
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/

    /// @inheritdoc ITokenizedBalanceSheetVault
    function tokens() public virtual override view returns (address[] memory assets, address[] memory liabilities) {
        assets = assetTokens();
        liabilities = liabilityTokens();
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function balanceSheet() public override view returns (
        uint256[] memory totalAssets, 
        uint256[] memory totalLiabilities
    ) {
        (totalAssets, totalLiabilities, ) = _balanceSheet();
    }

    /// @dev Implementations are required to implement.
    /// @return totalAssets The per token amount of assets in the balance sheet
    /// @return totalLiabilities The per token amount of liabilities in the balance sheet
    /// @return balanceSheetData Optional encoded data which can be used to cache balance sheet
    ///         information, to be used in joins/exits later
    function _balanceSheet() internal virtual view returns (
        uint256[] memory totalAssets, 
        uint256[] memory totalLiabilities,
        bytes memory balanceSheetData
    );

    /// @inheritdoc ITokenizedBalanceSheetVault
    function convertFromToken(
        address tokenAddress,
        uint256 tokenAmount
    ) public view override returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        // Following ERC4626 convention, round down for the two convert functions.
        (shares, assets, liabilities) = TBSLib.convertInputTokenAmountToSharesAndTokens({
            $: _stateForInputToken(tokenAddress, tokenAmount),
            sharesRounding: OrigamiMath.Rounding.ROUND_DOWN,
            assetsRounding: OrigamiMath.Rounding.ROUND_DOWN,
            liabilitiesRounding: OrigamiMath.Rounding.ROUND_DOWN
        });
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function convertFromShares(
        uint256 shares
    ) public view override returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        // Following ERC4626 convention, round down for the two convert functions.
        return TBSLib.proportionalTokenAmountsFromShares({
                $: _state(),
                shares: shares,
                assetsRounding: OrigamiMath.Rounding.ROUND_DOWN,
                liabilitiesRounding: OrigamiMath.Rounding.ROUND_DOWN
            });
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*         IMPLEMENTATIONS TO OVERRIDE (EXTERNAL FNS)         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function assetTokens() public virtual override view returns (address[] memory);

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function liabilityTokens() public virtual override view returns (address[] memory);

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function joinFeeBps() public virtual override view returns (uint256) {
        return 0;
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function exitFeeBps() public virtual override view returns (uint256) {
        return 0;
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function maxTotalSupply() public override view returns (uint256) {
        return _maxTotalSupply;
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function areJoinsPaused() public virtual override view returns (bool) {
        return false;
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function areExitsPaused() public virtual override view returns (bool) {
        return false;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                            JOINS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @inheritdoc ITokenizedBalanceSheetVault
    function maxJoinWithToken(
        address tokenAddress, 
        address /*receiver*/
    ) public view override virtual returns (uint256 maxToken) {
        return _maxJoinWithToken(
            _stateForInputToken(tokenAddress, 0),
            joinFeeBps()
        );
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function previewJoinWithToken(
        address tokenAddress,
        uint256 tokenAmount
    ) public view override returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        (shares, /*shareFeesTaken*/, assets, liabilities) = _previewJoinWithToken(
            _stateForInputToken(tokenAddress, tokenAmount),
            joinFeeBps()
        );
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function joinWithToken(
        address tokenAddress,
        uint256 tokenAmount,
        address receiver,
        bytes32 tokensHash
    ) public override nonReentrant returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        if (tokensHash != currentTokensHash) revert IncorrectTokensHash();
        TBSState memory $ = _stateForInputToken(tokenAddress, tokenAmount);

        uint256 feeBps = joinFeeBps();
        uint256 maxTokens = _maxJoinWithToken($, feeBps);
        if (tokenAmount > maxTokens) {
            revert ExceededMaxJoinWithToken(receiver, tokenAddress, tokenAmount, maxTokens);
        }

        uint256 shareFeesTaken;
        (shares, shareFeesTaken, assets, liabilities) = _previewJoinWithToken($, feeBps);
        if (shareFeesTaken > 0) {
            emit InKindFees(FeeType.JOIN_FEE, feeBps, shareFeesTaken);
        }

        _join($, msg.sender, receiver, shares, assets, liabilities);
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function maxJoinWithShares(address /*receiver*/) public view override virtual returns (uint256 maxShares) {
        return _maxJoinWithShares(totalSupply());
    }

    function _maxJoinWithShares(uint256 _totalSupply) internal view returns (uint256 maxShares) {
        if (areJoinsPaused()) return 0;
        return TBSLib.availableSharesCapacity(_totalSupply, maxTotalSupply());
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function previewJoinWithShares(
        uint256 shares
    ) public view override returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        (assets, liabilities, /*shareFeesTaken*/) = _previewJoinWithShares(_state(), shares, joinFeeBps());
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function joinWithShares(
        uint256 shares,
        address receiver,
        bytes32 tokensHash
    ) public override nonReentrant returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        if (tokensHash != currentTokensHash) revert IncorrectTokensHash();
        TBSState memory $ = _state();
        uint256 maxShares = _maxJoinWithShares($.totalSupply);
        if (shares > maxShares) {
            revert ExceededMaxJoinWithShares(receiver, shares, maxShares);
        }

        uint256 feeBps = joinFeeBps();
        uint256 shareFeesTaken;
        (assets, liabilities, shareFeesTaken) = _previewJoinWithShares($, shares, feeBps);
        if (shareFeesTaken > 0) {
            emit InKindFees(FeeType.JOIN_FEE, feeBps, shareFeesTaken);
        }

        _join($, msg.sender, receiver, shares, assets, liabilities);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                            EXITS                           */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @inheritdoc ITokenizedBalanceSheetVault
    function maxExitWithToken(
        address tokenAddress,
        address sharesOwner
    ) public view override virtual returns (uint256 maxToken) {
        return _maxExitWithToken(
            _stateForInputToken(tokenAddress, 0),
            sharesOwner,
            exitFeeBps()
        );
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function previewExitWithToken(
        address tokenAddress,
        uint256 tokenAmount
    ) public view override returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        (shares, /*shareFeesTaken*/, assets, liabilities) = _previewExitWithToken(
            _stateForInputToken(tokenAddress, tokenAmount),
            exitFeeBps()
        );
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function exitWithToken(
        address tokenAddress,
        uint256 tokenAmount,
        address receiver,
        address sharesOwner,
        bytes32 tokensHash
    ) public override nonReentrant returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        if (tokensHash != currentTokensHash) revert IncorrectTokensHash();
        TBSState memory $ = _stateForInputToken(tokenAddress, tokenAmount);

        uint256 feeBps = exitFeeBps();
        uint256 maxTokens = _maxExitWithToken($, sharesOwner, feeBps);
        if (tokenAmount > maxTokens) {
            revert ExceededMaxExitWithToken(sharesOwner, tokenAddress, tokenAmount, maxTokens);
        }

        uint256 shareFeesTaken;
        (shares, shareFeesTaken, assets, liabilities) = _previewExitWithToken($, feeBps);
        if (shareFeesTaken > 0) {
            emit InKindFees(FeeType.EXIT_FEE, feeBps, shareFeesTaken);
        }

        _exit($, msg.sender, receiver, sharesOwner, shares, assets, liabilities);
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function maxExitWithShares(
        address sharesOwner
    ) public view override virtual returns (uint256 maxShares) {
        return _maxExitWithShares(sharesOwner);
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function previewExitWithShares(
        uint256 shares
    ) public view override returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        (/*shareFeesTaken*/, assets, liabilities) = _previewExitWithShares(
            _state(),
            shares, 
            exitFeeBps()
        );
    }

    /// @inheritdoc ITokenizedBalanceSheetVault
    function exitWithShares(
        uint256 shares,
        address receiver,
        address sharesOwner,
        bytes32 tokensHash
    ) public override nonReentrant returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        if (tokensHash != currentTokensHash) revert IncorrectTokensHash();
        uint256 maxShares = _maxExitWithShares(sharesOwner);
        if (shares > maxShares) {
            revert ExceededMaxExitWithShares(sharesOwner, shares, maxShares);
        }

        TBSState memory $ = _state();
        uint256 feeBps = exitFeeBps();
        uint256 shareFeesTaken;
        (shareFeesTaken, assets, liabilities) = _previewExitWithShares($, shares, feeBps);
        if (shareFeesTaken > 0) {
            emit InKindFees(FeeType.EXIT_FEE, feeBps, shareFeesTaken);
        }

        _exit($, msg.sender, receiver, sharesOwner, shares, assets, liabilities);        
    }
    
    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function burn(uint256 amount) external virtual override {
        _burn(msg.sender, amount);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       EXTERNAL VIEWS                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function availableSharesCapacity() public override view returns (uint256 shares) {
        return TBSLib.availableSharesCapacity(totalSupply(), maxTotalSupply());
    }

    /// @inheritdoc IOrigamiTokenizedBalanceSheetVault
    function matchToken(address tokenAddress) public virtual override view returns (AssetOrLiability kind, uint256 index) {
        return TBSLib.matchToken(tokenAddress, assetTokens(), liabilityTokens());
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                      EXTERNAL ERC165                       */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @inheritdoc IERC165
    function supportsInterface(bytes4 interfaceId) public virtual override(IERC165, OrigamiTeleportableToken) pure returns (bool) {
        return OrigamiTeleportableToken.supportsInterface(interfaceId)
            || interfaceId == type(IOrigamiTokenizedBalanceSheetVault).interfaceId 
            || interfaceId == type(ITokenizedBalanceSheetVault).interfaceId;
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*         IMPLEMENTATIONS TO OVERRIDE (INTERNAL FNS)         */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /// @dev A hook for joins - it must pull assets from caller and send liabilities to receiver,
    /// along with any other interactions required.
    function _joinPreMintHook(
        TBSState memory $,
        address caller,
        address receiver,
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) internal virtual;

    /// @dev A hook for exits - it must send assets to receiver and pull liabilities from caller,
    /// along with any other interactions required.
    function _exitPreBurnHook(
        TBSState memory $,
        address caller,
        address sharesOwner,
        address receiver,
        uint256 sharesPreBurn,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) internal virtual;

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*        INTERNAL TOKENIZED BALANCE SHEET VAULT - JOINS      */
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/

    /// @dev What's the max amount that can be joined into the vault
    /// given a cached inputTokenBalance
    function _maxJoinWithToken(
        TBSState memory $,
        uint256 feeBps
    ) internal virtual view returns (uint256 maxTokens) {
        if (areJoinsPaused()) return 0;

        // If the token balance of the requested token is zero then cannot join
        if ($.inputTokenBalance() == 0) return 0;

        uint256 availableShares = TBSLib.availableSharesCapacity($.totalSupply, maxTotalSupply());
        if (availableShares == type(uint256).max) return availableShares;

        return TBSLib.sharesToToken({
            // Calculating the number of shares before the fee can be rounded up
            shares: availableShares.inverseSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_UP),
            tokenBalance: $.inputTokenBalance(),
            totalSupply: $.totalSupply,
            // The final max number of tokens is always rounded down
            rounding: OrigamiMath.Rounding.ROUND_DOWN
        });
    }

    /// @dev Preview a join for an amount of one of the cached inputToken
    function _previewJoinWithToken(
        TBSState memory $,
        uint256 feeBps
    ) internal virtual pure returns (
        uint256 shares,
        uint256 shareFeesTaken,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        // When calculating the number of shares/assets/liabilities when JOINING 
        // given an input token amount:
        //   - shares: 
        //       - if input token is an asset: ROUND_DOWN
        //       - if input token is a liability: ROUND_UP
        //   - assets: ROUND_UP (the assets which are pulled from the caller)
        //   - liabilities: ROUND_DOWN (liabilities sent to recipient)
        (shares, assets, liabilities) = $.convertInputTokenAmountToSharesAndTokens({
            sharesRounding: $.inputTokenKind == AssetOrLiability.ASSET ? OrigamiMath.Rounding.ROUND_DOWN : OrigamiMath.Rounding.ROUND_UP,
            assetsRounding: OrigamiMath.Rounding.ROUND_UP,
            liabilitiesRounding: OrigamiMath.Rounding.ROUND_DOWN
        });

        // Deposit fees are taken from the shares in kind
        // The `shares` the recipient gets are rounded down (ie fees rounded up), in favour of the vault
        (shares, shareFeesTaken) = shares.splitSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_DOWN);
    }

    /// @dev Preview a join for an amount of shares
    function _previewJoinWithShares(TBSState memory $, uint256 shares, uint256 feeBps) internal virtual pure returns (
        uint256[] memory assets,
        uint256[] memory liabilities,
        uint256 shareFeesTaken
    ) {
        // Deposit fees are taken from the shares the user would otherwise receive
        // so calculate the amount of shares required before fees are taken.
        // Round up the fees taken, so it's in favour of the vault
        uint256 sharesBeforeFees = shares.inverseSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_UP);
        unchecked {
            shareFeesTaken = sharesBeforeFees - shares;
        }

        // When calculating the number of assets/liabilities when JOINING
        // given a number of shares:
        //   - assets: ROUND_UP (the assets which are pulled from the caller)
        //   - liabilities: ROUND_DOWN (liabilities sent to recipient)
        (assets, liabilities) = $.proportionalTokenAmountsFromShares({
            shares: sharesBeforeFees,
            assetsRounding: OrigamiMath.Rounding.ROUND_UP,
            liabilitiesRounding: OrigamiMath.Rounding.ROUND_DOWN
        });
    }

    /// @dev join for specific assets and liabilities and mint exact shares to the receiver
    /// Implementations must implement the hook which pulls assets from caller and sends 
    /// liabilities to receiver
    function _join(
        TBSState memory $,
        address caller,
        address receiver,
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) internal virtual {
        if (shares == 0) revert CommonEventsAndErrors.ExpectedNonZero();
        _joinPreMintHook($, caller, receiver, shares, assets, liabilities);

        _mint(receiver, shares);

        emit Join(caller, receiver, assets, liabilities, shares);
    }
    
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*        INTERNAL TOKENIZED BALANCE SHEET VAULT - EXITS      */
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/

    /// @dev What's the max amount that can be exited from the vault for 
    /// a cached inputToken
    function _maxExitWithToken(
        TBSState memory $,
        address sharesOwner,
        uint256 feeBps
    ) internal virtual view returns (uint256 maxTokens) {
        if (areExitsPaused()) return 0;

        // If the token balance of the requested token is zero then cannot join
        uint256 _inputTokenBalance = $.inputTokenBalance();
        if (_inputTokenBalance == 0) return 0;

        // Special case for address(0), unlimited
        if (sharesOwner == address(0)) return type(uint256).max;

        uint256 shares = balanceOf(sharesOwner);

        // The max number of tokens is always rounded down
        (shares,) = shares.splitSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_DOWN);

        uint256 maxFromShares = TBSLib.sharesToToken({
            shares: shares,
            tokenBalance: $.inputTokenBalance(),
            totalSupply: $.totalSupply,
            // The final max number of tokens is always rounded down
            rounding: OrigamiMath.Rounding.ROUND_DOWN
        });

        // Return the minimum of the available balance of the requested token in the balance sheet
        // and the derived amount from the available shares
        return maxFromShares < _inputTokenBalance ? maxFromShares : _inputTokenBalance;
    }

    /// @dev Preview an exit for an amount of one of the asset/liability tokens specified in the state cache
    function _previewExitWithToken(
        TBSState memory $,
        uint256 feeBps
    ) internal virtual pure returns (
        uint256 shares,
        uint256 shareFeesTaken,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        // When calculating the number of shares/assets/liabilities when EXITING 
        // given an input token amount:
        //   - shares: 
        //       - if input token is an asset: ROUND_UP
        //       - if input token is a liability: ROUND_DOWN
        //   - assets: ROUND_DOWN (the assets which are sent to the recipient)
        //   - liabilities: ROUND_UP (liabilities pulled from the recipient)
        uint256 sharesAfterFees;
        (sharesAfterFees, assets, liabilities) = $.convertInputTokenAmountToSharesAndTokens({
            sharesRounding: $.inputTokenKind == AssetOrLiability.ASSET ? OrigamiMath.Rounding.ROUND_UP : OrigamiMath.Rounding.ROUND_DOWN,
            assetsRounding: OrigamiMath.Rounding.ROUND_DOWN,
            liabilitiesRounding: OrigamiMath.Rounding.ROUND_UP
        });

        // Exit fees are taken in 'shares' prior to redeeming to the underlying assets 
        // & liability tokens. So now calculate the total number of shares to burn from
        // the user.
        // Round up the shares needing to be burned, so it's in favour of the vault
        shares = sharesAfterFees.inverseSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_UP);
        unchecked {
            shareFeesTaken = shares - sharesAfterFees;
        }
    }

    /// @dev What's the max amount of shares that can be exited from the vault for an owner
    function _maxExitWithShares(
        address sharesOwner
    ) internal virtual view returns (uint256 maxShares) {
        if (areExitsPaused()) return 0;
        return sharesOwner == address(0)
            ? type(uint256).max // Special case for address(0), unlimited exit
            : balanceOf(sharesOwner);
    }

    /// @dev Preview an exit for an amount of shares
    function _previewExitWithShares(
        TBSState memory $,
        uint256 shares,
        uint256 feeBps
    ) internal virtual pure returns (
        uint256 shareFeesTaken,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        // The `shares` the user receives are rounded down in favour of the vault
        (shares, shareFeesTaken) = shares.splitSubtractBps(feeBps, OrigamiMath.Rounding.ROUND_DOWN);

        // When calculating the number of assets/liabilities when EXITING
        // given a number of shares:
        //   - assets: ROUND_DOWN (assets are sent to the recipient)
        //   - liabilities: ROUND_UP (liabilities are pulled from the caller)
        (assets, liabilities) = $.proportionalTokenAmountsFromShares({
            shares: shares,
            assetsRounding: OrigamiMath.Rounding.ROUND_DOWN,
            liabilitiesRounding: OrigamiMath.Rounding.ROUND_UP
        });
    }

    /// @dev exit for specific assets and liabilities and burn exact shares to the receiver
    /// Can be called on behalf of a sharesOwner as long as allowance has been provided.
    /// Implementations must implement the hook which pulls liabilities from caller and sends 
    /// assets to receiver
    function _exit(
        TBSState memory $,
        address caller,
        address receiver,
        address sharesOwner,
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) internal virtual {
        if (shares == 0) revert CommonEventsAndErrors.ExpectedNonZero();
        if (sharesOwner == address(0)) revert CommonEventsAndErrors.InvalidAddress(sharesOwner);
        if (receiver == address(0)) revert CommonEventsAndErrors.InvalidAddress(receiver);
        if (caller != sharesOwner) {
            _spendAllowance(sharesOwner, caller, shares);
        }

        // Call the exit hook prior to burning shares, such that any
        // ERC20 _afterTokenTransfer() hooks the vault may implement (eg hOHM)
        // will use the latest balances
        _exitPreBurnHook($, caller, sharesOwner, receiver, shares, assets, liabilities);

        _burn(sharesOwner, shares);
        $.totalSupply -= shares;

        // If the vault has been fully exited, then reset the maxTotalSupply to zero, as if it were newly created.
        if ($.totalSupply == 0) _maxTotalSupply = 0;
        
        emit Exit(caller, receiver, sharesOwner, assets, liabilities, shares);
    }

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       POPULATE STATE                       */
    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/

    /// @dev Populate the TBS state cache
    /// For use when a reference input token address/amount isn't required
    function _state() internal virtual view returns (TBSState memory $) {
        $.assetAddresses = assetTokens();
        $.liabilityAddresses = liabilityTokens();
        ($.assetBalances, $.liabilityBalances, $.balanceSheetData) = _balanceSheet();
        $.totalSupply = totalSupply();
    }

    /// @dev Fill the TBS state cache using the provided input token and amount
    function _stateForInputToken(
        address inputTokenAddress,
        uint256 inputTokenAmount
    ) internal view returns (TBSState memory $) {
        $ = _state();
        ($.inputTokenKind, $.inputTokenIndex) = TBSLib.matchToken(inputTokenAddress, $.assetAddresses, $.liabilityAddresses);
        $.inputTokenAmount = $.inputTokenBalance() == 0 ? 0 : inputTokenAmount;
    }
}

pragma solidity ^0.8.4;
// 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 ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/bundler/IOrigamiBundler.sol)

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

/// @notice Struct containing all the data needed to make a call.
/// @notice The call target is `to`, the calldata is `data` with value `value`.
/// @notice If `skipRevert` is true, other planned calls will continue executing even if this call reverts. `skipRevert`
/// will ignore all reverts. Use with caution -- see below for exceptions to this behaviour.
/// @notice If the call will trigger a reenter, the callbackHash should be set to the hash of the reenter bundle data.
struct Call {
    /// @dev The address to call
    address to;

    /// @dev The function selector and calldata, empty is allowed (to send 'native' assets eg ETH)
    bytes data;

    /// @dev Any optional 'native' assets to send to `to`
    uint256 value;

    /// @dev If set to true and the call fails, it will not revert the whole transaction.
    /// There are some exceptions to this where it will always revert regardless of this flag:
    ///   - If the `to` is address(0) it will revert with `InvalidPlugin(to)`
    ///   - If the `to` is not 'approved' in the bundler implementation it will revert with `InvalidPlugin(to)`
    ///   - If there is a reentered call stack where:
    ///       - The inner reentered call reverts and has `skipRevert=false` (so the inner revert bubbles up)
    ///       - The outer call which called reenter has `skipRevert=true`
    ///     In this case the entire transaction will still revert with `MissingExpectedReenter()`
    ///     since the transient `reenterHashT` is not reset to bytes32(0)
    bool skipRevert;

    /// @dev The hash of any expected reentered call as part of this. 
    /// Should be set to `keccak256(abi.encode(Call[] callbackBundle))`
    /// If no callback, set to bytes32(0)
    bytes32 callbackHash;
}

/// @title Origami Bundler
/// @notice Batch-execute a sequence of arbitrary calls atomically
/// @dev It carries specific features to be able to perform actions that require authorizations, and handle callbacks.
/// Credit to Morpho for their bundler3: https://github.com/morpho-org/bundler3/tree/263f75d3662f38133d5fba1b08c7b07847abfb2a 
interface IOrigamiBundler is IERC165 {
    error AlreadyInitiated();
    error EmptyBundle();
    error MissingExpectedReenter();
    error IncorrectReenterHash();
    error InvalidPlugin(address plugin);

    /// @notice The bundler implementation can optionally whitelist which addresses can be
    /// called in each multicall step.
    function isApprovedPlugin(address plugin) external view returns (bool);

    /// @notice Executes a sequence of calls.
    /// @dev 
    ///   - Locks the initiator so that the sender can be identified by other contracts.
    ///   - There are some exceptions to skip reverting if a call's `skipRevert=true`.
    ///     See the natspec within the Call struct definition for details.
    /// @param bundle The ordered array of calldata to execute.
    function multicall(Call[] calldata bundle) external payable;

    /// @notice Executes a sequence of calls.
    /// @dev Useful during callbacks.
    /// @dev Can only be called by the last unreturned callee with known data.
    /// @param bundle The ordered array of calldata to execute.
    function reenter(Call[] calldata bundle) external;

    /****** TRANSIENT VIEWS ******/
    
    /// @notice The initiator of the multicall transaction.
    /// @dev transient
    function initiatorT() external view returns (address);

    /// @notice Hash of the concatenation of the sender and the hash of the calldata of the next call to `reenter`.
    /// @dev transient
    function reenterHashT() external view returns (bytes32);
}

pragma solidity ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later

import { ITokenizedBalanceSheetVault } from "contracts/interfaces/external/tokenizedBalanceSheetVault/ITokenizedBalanceSheetVault.sol";
import { IOrigamiTeleportableToken } from "contracts/interfaces/common/omnichain/IOrigamiTeleportableToken.sol";
import { ITokenPrices } from "contracts/interfaces/common/ITokenPrices.sol";

/**
 * @title Origami Tokenized Balance Sheet Vault
 * @notice A bit more of an opinionated version for our reference implementations
 */
interface IOrigamiTokenizedBalanceSheetVault is 
    ITokenizedBalanceSheetVault,
    IOrigamiTeleportableToken
{
    //============================================================================================//
    //                                           ERRORS                                           //
    //============================================================================================//
    
    /// @dev Attempted to deposit more assets than the max amount for `receiver`.
    error ExceededMaxJoinWithToken(address receiver, address tokenAddress, uint256 tokenAmount, uint256 max);

    /// @dev Attempted to mint more shares than the max amount for `receiver`.
    error ExceededMaxJoinWithShares(address receiver, uint256 shares, uint256 max);

    /// @dev Attempted to withdraw more assets than the max amount for `receiver`.
    error ExceededMaxExitWithToken(address owner, address tokenAddress, uint256 tokenAmount, uint256 max);

    /// @dev Attempted to redeem more shares than the max amount for `receiver`.
    error ExceededMaxExitWithShares(address owner, uint256 shares, uint256 max);
    
    //============================================================================================//
    //                                           EVENTS                                           //
    //============================================================================================//

    /// @dev What kind of fees - either Join or Exit
    enum FeeType {
        JOIN_FEE,
        EXIT_FEE
    }

    /// @dev Either join or exit fees have been applied
    event InKindFees(FeeType feeType, uint256 feeBps, uint256 feeAmount);

    /// @dev Emit when the max total supply has been changed
    event MaxTotalSupplySet(uint256 maxTotalSupply);

    /// @dev May be emitted if the vault sets a TokenPrices contract (used within the UI only)
    event TokenPricesSet(address indexed tokenPrices);

    /// @dev May be emitted if the vault sets a manager contract for delegated logic
    event ManagerSet(address indexed manager);

    //============================================================================================//
    //                                          ADMIN                                             //
    //============================================================================================//

    /// @notice Elevated access seeds the vault, specifying each of the asset amounts, the liability amounts,
    /// and the shares to joinWithShares. This determines the initial share price of each asset and liability.
    /// @param assetAmounts The per token total of assets to seed the vault with
    /// @param liabilityAmounts The per token total of liabilities to seed the vault with
    /// @param sharesToMint The number of shares to mint to the receiver
    /// @param receiver Receives the initial shares and liabilities
    /// @param newMaxTotalSupply The initial maximum total supply cap allowed for this vault
    /// @param balanceSheetData Any encoded state required by the implementation to allocate the total assets 
    ///        and liabilities. For example if the total needs to be split across multiple positions.
    function seed(
        uint256[] calldata assetAmounts,
        uint256[] calldata liabilityAmounts,
        uint256 sharesToMint,
        address receiver,
        uint256 newMaxTotalSupply,
        bytes calldata balanceSheetData
    ) external;

    /// @notice Set the max total supply allowed for this vault
    /// @dev Will revert if the current totalSupply is zero as
    /// `seedDeposit()` needs to be called first
    function setMaxTotalSupply(uint256 maxTotalSupply) external;

    /// @notice Update the current tokens hash based on the assetTokens and liabilityTokens
    /// in the balance sheet
    function updateCurrentTokensHash() external;

    /// @notice Allows the caller to burn their own supply of vault shares.
    function burn(uint256 amount) external;

    /// @notice Set the helper to calculate current off-chain/subgraph integration
    function setTokenPrices(address tokenPrices) external;

    /// @notice Set the Origami delegated manager 
    function setManager(address manager) external;

    //============================================================================================//
    //                                          VIEWS                                             //
    //============================================================================================//

    /**
     * @notice Returns the addresses of the underlying tokens which represent the ASSETS in the Vault's balance sheet
     * @dev
     * - MUST be ERC-20 token contracts.
     * - MUST NOT revert.
     *
     * NOTE: tokens MAY be added or removed over time.
     */
    function assetTokens() external view returns (address[] memory tokens);

    /**
     * @notice Returns the addresses of the underlying tokens which represent the LIABILITIES in the Vault's balance sheet
     * @dev
     * - MUST be ERC-20 token contracts.
     * - MUST NOT revert.
     *
     * NOTE: tokens MAY be added or removed over time.
     */
    function liabilityTokens() external view returns (address[] memory tokens);

    /// @dev To report whether a token is invalid, an asset, or a liability in this balance sheet
    enum AssetOrLiability {
        INVALID,
        ASSET,
        LIABILITY
    }
    
    /// @notice Return whether the input tokenAddress is part of the balance sheet assets or liabilities, and the index
    /// of that address in the respective assetTokens() or liabilityTokens() list
    /// - kind === ASSET if an asset
    /// - kind === LIABILITY if a liability
    /// - kind === INVALID if not an asset or liability (index will be zero in this case)
    function matchToken(address tokenAddress) external view returns (AssetOrLiability kind, uint256 index);

    /// @notice The current joinWithShares or joinWithTokens fee in basis points.
    function joinFeeBps() external view returns (uint256);

    /// @notice The current exitToShares or exitToTokens fee in basis points.
    function exitFeeBps() external view returns (uint256);

    /// @notice The maxiumum total supply of shares for this vault.
    /// @dev may be set up to type(uint256).max
    function maxTotalSupply() external view returns (uint256 shares);

    /// @notice The available shares which can be minted as of now, under the maxTotalSupply
    /// @dev If maxTotalSupply() is type(uint256).max, then this will also be type(uint256).max
    function availableSharesCapacity() external view returns (uint256 shares);

    /// @notice Whether joinWithShares and joinWithAssets are currently paused
    function areJoinsPaused() external view returns (bool);

    /// @notice Whether exitToShares and exitToAssets are currently paused
    function areExitsPaused() external view returns (bool);

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

    /// @notice The Origami contract managing the application of
    /// the deposit tokens into the underlying protocol
    function manager() external view returns (address);
}

pragma solidity ^0.8.4;
// 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 Token address to function calldata for how to lookup the price for this token
    function priceFnCalldata(address token) external view returns (bytes memory fnCalldata);

    /// @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);

    /// @notice The set of all mapped tokens
    function mappedTokenAt(uint256 i) external view returns (address token);

    /// @notice The set of all mapped tokens
    function allMappedTokens() external view returns (address[] memory);

    /// @notice The number of mapped tokens
    function numMappedTokens() external view returns (uint256);
}

pragma solidity ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/common/omnichain/IOrigamiTeleportableToken.sol)

import { IERC20Permit } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Permit.sol";
import { IERC165 } from "@openzeppelin/contracts/interfaces/IERC165.sol";
import { IERC20Metadata } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol";
import { SendParam, OFTReceipt } from "@layerzerolabs/lz-evm-oapp-v2/contracts/standards/oft-evm/interfaces/IOFT.sol";
import { MessagingFee, MessagingReceipt } from "@layerzerolabs/lz-evm-protocol-v2/contracts/interfaces/ILayerZeroEndpointV2.sol";
import { IOFT } from "@layerzerolabs/lz-evm-oapp-v2/contracts/standards/oft-evm/interfaces/IOFT.sol";

/// @title Origami Teleportable Token
/// @notice An ERC20 token (supporting Permit) which does not require token approval to be spent
///     by the trusted teleporter. 
/// @dev There are intentionally no external mint/burn functions on this token, 
///     the teleporter is expected to be a 'locker', ie escrow the tokens.
interface IOrigamiTeleportableToken is
    IERC20Metadata,
    IERC20Permit,
    IERC165
{
    event TeleporterSet(address indexed teleporter);

    /// @notice Set the trusted address permitted to to bridge this token to another chain.
    function setTeleporter(address newTeleporter) external;

    /// @notice The trusted address permitted to to bridge this token to another chain.
    function teleporter() external view returns (IOFT);

    /*´:°•.°+.*•´.*:˚.°*.˚•´.°:°•.°•.*•´.*:˚.°*.˚•´.°:°•.°+.*•´.*:*/
    /*                       LAYER ZERO SEND                      */
    /*.•°:°.´+˚.*°.˚:*.´•*.+°.•°:´*.´•*.•°.•°:°.´:•˚°.*°.˚:*.´+°.•*/

    /**
     * @notice This function is added for improved UX convenience and for users to interact directly 
     * with the vault. The vault relays the call to the trusted token teleporter contract. 
     * @dev Executes the send operation.
     * @param sendParam The parameters for the send operation.
     * @param fee The calculated fee for the send() operation.
     *      - nativeFee: The native fee.
     *      - lzTokenFee: The lzToken fee.
     * @param refundAddress The address to receive any excess funds.
     * @return msgReceipt The receipt for the send operation.
     * @return oftReceipt The OFT receipt information.
     *
     * @dev MessagingReceipt: LayerZero msg receipt
     *  - guid: The unique identifier for the sent message.
     *  - nonce: The nonce of the sent message.
     *  - fee: The LayerZero fee incurred for the message.
     */
    function send(
        SendParam memory sendParam,
        MessagingFee memory fee,
        address refundAddress
    ) external payable returns (MessagingReceipt memory msgReceipt, OFTReceipt memory oftReceipt);

    /**
     * @notice Provides a quote for the send() operation.
     *  This function is added for improved UX convenience and for users to interact directly with the vault
     *  The vault relays the call to the trusted token teleporter contract. 
     * @param sendParam The parameters for the send() operation.
     * @param payInLzToken Flag indicating whether the caller is paying in the LZ token.
     * @return msgFee The calculated LayerZero messaging fee from the send() operation.
     *
     * @dev MessagingFee: LayerZero msg fee
     *  - nativeFee: The native fee.
     *  - lzTokenFee: The lzToken fee.
     */
    function quoteSend(
        SendParam calldata sendParam,
        bool payInLzToken
    ) external view returns (MessagingFee memory msgFee);
}

pragma solidity ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later

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

/**
 * @title Tokenized 'Balance Sheet' Vault
 * @notice
 *  Shares in this vault represent a proportional slice of the balance sheet of this vault. The balance sheet adheres to the
 *  fundamental accounting equation: equity = assets - liabilities
 *    - ASSETS represent positive value of the vault, and may be composed of zero or more ERC20 tokens.
 *      The balance of each asset token in the balance sheet may be of different amounts.
 *    - LIABILITIES represent debt that this vault owes, and may be composed of zero or more ERC20 tokens.
 *      The balance of each liability token in the balance sheet may be of different amounts.
 *
 *  When a user mints new shares (aka equity):
 *    - They PROVIDE a proportional amount of each ASSET in the balance sheet as of that moment, for that number of shares.
 *    - They RECEIVE a proportional amount of each LIABILITY in the balance sheet as of that moment, for that number of shares.
 *    - The shares representing that proportional slice of the balance sheet equity are minted.
 *
 *  When a user redeems shares:
 *    - They PROVIDE a proportional amount of each LIABILITY in the balance sheet as of that moment, for that number of shares.
 *    - They RECEIVE a proportional amount of each ASSET in the balance sheet as of that moment, for that number of shares.
 *    - Those shares are burned.
 *
 *  The ASSET or LIABILITY amounts on the balance sheet can change over time:
 *    - The balances of the ASSETS may grow or shrink over time (eg yield, rebalancing the weights of the assets)
 *    - The balances of the LIABILITIES may grow or shrink over time (eg borrow cost increasing the debt over time)
 *
 *  The ASSET or LIABILITY token addresses can change over time:
 *    - A new asset may be added to the balance sheet (rolling Pendle PT expiries)
 *    - An asset can be removed from the balance sheet (effectively zero balance - removed for efficiency)
 *    - To ensure the caller joining/exiting is using the required token addresses as of the latest block, a bytes32 hash of
 *      the current asset and liability tokens are passed into the join/exit functions.
 *
 * The interface is inspired by ERC-4626. The intended high level UX is:
 *    - joinWithShares(shares):
 *        Caller specifies the number of shares to mint and the amount of each ASSET (pulled from user) and LIABILITY (sent to user)
 *        token is derived from the existing balance weights of the vault's balance sheet.
 *    - joinWithToken(tokenAddress, amount):
 *        Caller specifies either one of the ASSET addresses (pulled from user) or one of the LIABILITY addresses (sent to user),
 *        and the amount of that token. The number of shares to mint, and the required number of the remaining ASSET (pulled from user) and
 *        LIABILITY (sent to user) tokens are derived from the existing balance weights of the vault's balance sheet.
 *    - exitWithShares(shares):
 *        Caller specifies the number of shares to burn and the amount of each ASSET (sent to user) and LIABILITY (pulled from user)
 *        token is derived from the existing balance weights of the vault's balance sheet.
 *    - exitWithToken(tokenAddress, amount):
 *        Caller specifies either one of the ASSET addresses (sent to user) or one of the LIABILITY addresses (pulled from user),
 *        and the amount of that token. The number of shares to burn, and the required number of the remaining ASSET (sent to user) and
 *        LIABILITY (pulled from user) tokens are derived from the existing balance weights of the vault's balance sheet.
 *
 * The benefits of representing the Balance Sheet tokens 'in kind' include
 *    - No oracles required to convert into a single vault asset (like ERC-4626 would require)
 *    - There is no realisation of exposure (from a vault perspective) from one asset/liability into a single vault asset at a certain point in time.
 *    - The vault is not affected if there is a lack of liquidity to convert the other assets/liabilities into a single vault asset.
 *
 * A drawback is that the UX and integration is obviously tricker.
 *    - In most cases, it's likely that there will be AMM liquidity in order for users to easily buy/sell the vault token, rather than minting redeeming
 *    - More sophisticated can mint/redeem directly providing and receiving all required balance sheet tokens.
 *      This could include arbitrage bots which can ensure the AMM liquidity is pegged to the 'real' vault price.
 *    - 'zaps' can be added where possible for dapps to allocate in to the right assets - eg to provide the best price to users (AMM buy vs direct mint)
 *    - The asset and liability tokens can change over time depending on the specific implementation. Integrators need to be aware of this.
 *
 * As with ERC-4626, there is no slippage/deadline guarantees within this interface enforcing bounds on the sent/received. If required for a particular integration,
 * it can be handled via an intermediate 'router' contract enforcing bounds on the assets/liabilities/shares which are transferred.
 */
interface ITokenizedBalanceSheetVault is IERC20, IERC20Metadata {
    
    /// @dev Emitted during a joinWithToken or joinWithShares
    event Join(
        address indexed sender,
        address indexed owner,
        uint256[] assets,
        uint256[] liabilities,
        uint256 shares
    );

    /// @dev Emitted during a exitWithToken or exitWithShares
    event Exit(
        address indexed sender,
        address indexed receiver,
        address indexed owner,
        uint256[] assets,
        uint256[] liabilities,
        uint256 shares
    );

    /// @dev Emitted whenever the `currentTokensHash()` is updated
    event CurrentTokensHashSet(bytes32 indexed hash);

    /// @dev When join/exit functions are called without using the `currentTokensHash()`
    error IncorrectTokensHash();

    /**
     * @notice Returns the addresses of the underlying tokens which represent the ASSETS and LIABILITIES in the Vault's balance sheet
     * @dev
     * - MUST be ERC-20 token contracts.
     * - MUST NOT revert.
     *
     * NOTE: tokens MAY be added or removed over time.
     */
    function tokens() external view returns (address[] memory assetTokens, address[] memory liabilityTokens);

    /**
     * @notice The keccak256 hash of abi encoded `H(assetTokens(), liabilityTokens())`
     * Passed into join/exit functions to ensure the balance sheet tokens has not changed between quote and execution
     * @dev
     * - Implemented as: keccak256(abi.encode(assetTokens(), liabilityTokens()))
     * - MUST not revert.
     */
    function currentTokensHash() external view returns (bytes32); 

    /**
     * @notice Returns the total amount of the ASSETS and LIABILITIES managed by this vault.
     * @dev
     * - `totalAssets` MUST return a list which is the same size and order as `assetTokens()`
     * - `totalLiabilities` MUST return a list which is the same size and order as `liabilityTokens()`
     * - SHOULD include any compounding that occurs from yield.
     * - MUST be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT revert.
     */
    function balanceSheet() external view returns (uint256[] memory totalAssets, uint256[] memory totalLiabilities);

    /**
     * @notice Returns the amount of shares that the Vault would exchange for the amount of `tokenAddress` provided, in an ideal
     * scenario where all the conditions are met.
     * The address and exact number of tokens of one of the `tokens()` is specified.
     * The remaining assets and liabilities are derived from the current balance sheet, along with the number of shares that would represent.
     *  @dev
     * - MUST NOT be inclusive of any fees that are charged against assets in the Vault.
     * - MUST NOT show any variations depending on the caller.
     * - MUST NOT reflect slippage or other on-chain conditions, when performing the actual exchange.
     * - MUST NOT revert.
     * - If `tokenAddress` is not one of the `tokens()` then shares, assets and libilities MUST have zero amounts.
     *
     * NOTE: This calculation MAY NOT reflect the “per-user” price-per-share, and instead should reflect the
     * “average-user’s” price-per-share, meaning what the average user should expect to see when exchanging to and
     * from.
     */
    function convertFromToken(
        address tokenAddress,
        uint256 tokenAmount
    ) external view returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    );

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

    /**
     * @notice Returns the maximum amount of `tokenAddress` that can be joined into the vault for the `receiver`,
     * through a joinWithToken call
     * `tokenAddress` must represent one of the assetTokens or liabilityTokens within `tokens()`
     * @dev
     * - MUST return a limited value if receiver is subject to some limit.
     * - MUST return 2 ** 256 - 1 if there is no limit on the maximum amount of `tokenAddress` that may be joined.
     * - MUST NOT revert.
     * - If `tokenAddress` is not one of the `tokens()` then this MUST return 0.
     */
    function maxJoinWithToken(
        address tokenAddress,
        address receiver
    ) external view returns (uint256 maxTokens);

    /**
     * @notice Allows an on-chain or off-chain user to simulate the effects of their joined at the current block, given
     * current on-chain conditions.
     * The address and exact number of tokens of one of the `tokens()` is specified.
     * The remaining assets and liabilities are derived from the current balance sheet, along with the number of shares that would represent.
     * @dev
     * - MUST return the `shares` as close to and NO MORE than the exact amount of Vault shares
     *    that would be minted in a joinWithToken call in the same transaction (ie round down).
     * - MUST return the `assets` as close to and NO LESS than the exact amount of tokens
     *    transferred FROM the sender for a joinWithToken call in the same transaction (ie round up).
     * - MUST return the `liabilities` as close to and NO MORE than the exact amount of tokens
     *    transferred TO the receiver for a joinWithToken call in the same transaction (ie round down).
     * - MUST NOT account for join limits like those returned from maxJoinWithToken and should always act as though the
     *    join would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of join fees. Integrators should be aware of the existence of join fees.
     * - MUST NOT revert.
     * - If `tokenAddress` is not one of the `tokens()` then shares, assets and libilities MUST have zero amounts.
     */
    function previewJoinWithToken(
        address tokenAddress,
        uint256 tokenAmount
    ) external view returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /**
      * @notice Mints Vault shares to receiver by transferring an exact amount of underlying tokens proportional to the current balance sheet.
      * The address and exact number of tokens of one of the `tokens()` is specified.
      * The remaining assets and liabilities are derived from the current balance sheet, along with the number of shares that would represent.
      * @dev
      * - MUST emit the Join event
      * - MUST revert if all of assets cannot be joined (due to join limit being reached, slippage, the user not
      *   approving enough underlying tokens to the Vault contract, etc).
      * - MUST revert if `tokensHash` does not equal `currentTokensHash()`
      *
      * NOTE: most implementations will require pre-approval of the Vault with all of the asset tokens
      */
    function joinWithToken(
        address tokenAddress,
        uint256 tokenAmount,
        address receiver,
        bytes32 tokensHash
    ) external returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    );

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

    /**
     * @notice Allows an on-chain or off-chain user to simulate the effects of their joinWithShares at the current block, given
     * current on-chain conditions.
     * The assets and liabilities are derived from the current balance sheet for that number of shares.
     * @dev
     * - MUST return the `assets` as close to and NO LESS than the exact amount of tokens
     *    transferred FROM the sender for a joinWithShares call in the same transaction (ie round up).
     * - MUST return the `liabilities` as close to and NO MORE than the exact amount of tokens
     *    transferred TO the receiver for a joinWithShares call in the same transaction (ie round down).
     * - MUST NOT account for mint limits like those returned from maxJoinWithShares and should always act as though the
     *    joinWithShares would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of join fees. Integrators should be aware of the existence of join fees.
     * - MUST NOT revert.
     */
    function previewJoinWithShares(
        uint256 shares
    ) external view returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /**
      * @notice Mints exactly `shares` Vault shares to receiver by joining amount of underlying tokens.
      * The assets and liabilities are derived from the current balance sheet for that number of shares.
      * @dev
      * - MUST emit the Join event
      * - MUST revert if all of shares cannot be minted (due to join limit being reached, slippage, the user not
      *   approving enough underlying tokens to the Vault contract, etc).
      * - MUST revert if `tokensHash` does not equal `currentTokensHash()`
      *
      * NOTE: most implementations will require pre-approval of the Vault with all of the asset tokens
      */
    function joinWithShares(
        uint256 shares,
        address receiver,
        bytes32 tokensHash
    ) external returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /**
     * @notice Returns the maximum amount of `tokenAddress` that can be withdrawn from the vault given the owner balance in the vault,
     * through a exitWithToken call
     * `tokenAddress` must represent one of the assetTokens or liabilityTokens within `tokens()`
     * @dev
     * - MUST return a limited value if owner is subject to some exit limit or timelock.
     * - MUST NOT revert.
     * - If `tokenAddress` is not one of the `tokens()` then this MUST return 0.
     */
    function maxExitWithToken(
        address tokenAddress,
        address owner
    ) external view returns (uint256 maxTokens);

    /**
     * @notice Allows an on-chain or off-chain user to simulate the effects of their exit at the current block,
     * given current on-chain conditions.
     * The address and exact number of tokens of one of the `tokens()` is specified.
     * The remaining assets and liabilities are derived from the current balance sheet, along with the number of shares that would represent.
     * @dev
     * - MUST return the `shares` as close to and NO LESS than the exact amount of Vault shares
     *    that would be burned in a exitWithToken call in the same transaction. (ie round up)
     * - MUST return the `assets` as close to and NO MORE than the exact amount of tokens
     *    transferred TO the sender for a exitWithToken call in the same transaction (ie round down).
     * - MUST return the `liabilities` as close to and NO LESS than the exact amount of tokens
     *    transferred FROM the receiver for a exitWithToken call in the same transaction (ie round up).
     * - MUST NOT account for exit limits like those returned from maxExitWithToken and should always act as though the
     *    exit would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of exit fees. Integrators should be aware of the existence of exit fees.
     * - MUST NOT revert.
     * - If `tokenAddress` is not one of the `tokens()` then shares, assets and libilities MUST have zero amounts.
     */
    function previewExitWithToken(
        address tokenAddress,
        uint256 tokenAmount
    ) external view returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /**
      * @notice Burns shares from owner, sends exactly `tokenAddress` of underlying tokens to receiver.
      * The address and exact number of tokens of one of the `tokens()` is specified.
      * The remaining assets and liabilities are derived from the current balance sheet, along with the number of shares that would represent.
      * @dev
      * - MUST emit the Exit event.
      * - MUST revert if all of assets cannot be withdrawn (due to exit limit being reached, slippage, the owner
      *    not having enough shares, etc).
      * - MUST revert if `tokensHash` does not equal `currentTokensHash()`
      *
      * NOTE: most implementations will require pre-approval of the Vault with all of the liability tokens.
      */
    function exitWithToken(
        address tokenAddress,
        uint256 tokenAmount,
        address receiver,
        address owner,
        bytes32 tokensHash
    ) external returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    );

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

    /**
     * @notice Allows an on-chain or off-chain user to simulate the effects of their redemption at the current block,
     * given current on-chain conditions.
     * The assets and liabilities are derived from the current balance sheet for that number of shares.
     * @dev
     * - MUST return the `assets` as close to and NO MORE than the exact amount of tokens
     *    transferred TO the sender for a exitWithShares call in the same transaction (ie round down).
     * - MUST return the `liabilities` as close to and NO LESS than the exact amount of tokens
     *    transferred FROM the receiver for a exitWithShares call in the same transaction (ie round up).
     * - MUST NOT account for redemption limits like those returned from maxExitWithShares and should always act as though the
     *    redemption would be accepted, regardless if the user has enough tokens approved, etc.
     * - MUST be inclusive of exit fees. Integrators should be aware of the existence of exit fees.
     * - MUST NOT revert.
     */
    function previewExitWithShares(
        uint256 shares
    ) external view returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /**
      * @notice Burns shares from owner.
      * The assets and liabilities are derived from the current balance sheet for that number of shares.
      * @dev
      * - MUST emit the Exit event.
      * - MUST revert if all of assets cannot be redeemed (due to exit limit being reached, slippage, the owner
      *    not having enough shares, etc).
      * - MUST revert if `tokensHash` does not equal `currentTokensHash()`
      *
      * NOTE: most implementations will require pre-approval of the Vault with all of the liability tokens.
      */
    function exitWithShares(
        uint256 shares,
        address receiver,
        address owner,
        bytes32 tokensHash
    ) external returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    );
}

pragma solidity ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/opal/IOpalAdapterFactory.sol)

interface IOpalAdapterFactory {
    error AlreadyRegistered();
    error NotRegistered();

    event ImplementationAdded(
        address indexed implementation,
        bytes32 indexed implTypeAndVersion
    );

    event ImplementationRemoved(
        address indexed implementation
    );

    event AdapterAdded(
        address newAdapter,
        address indexed implementation,
        bytes32 indexed implTypeAndVersion,
        address indexed manager,
        bytes32 description
    );

    struct ImplementationDetail {
        address implementation;
        string implTypeAndVersion;
    }

    /// @notice Elevated access can register a new implementation
    function addImplementation(address implementation) external;

    /// @notice Elevated access can remove an existing implementation
    function removeImplementation(address implementation) external;

    /**
     * @notice Clone a registered implementation to create a new instance of an adapter
     * @dev Permisionless to clone an existing implementation
     * @param implementation The pre-registered implementation to clone
     * @param manager A designated manager (typically only this is allowed to inititialize
     *        after cloning), added to the immutable args of the clone.
     *        The manager is set as the `bundler` for access rights in the bundler framework.
     * @param description A small string (as bytes32) description for this clone. 
     *        format is left to the caller to decide, but for consistency could (but not
     *        enforced) be structured like:
     *        "[ASSET1.symbol, ASSET2.symbol] / [DEBT1.symbol, DEBT2.symbol]"
     * @param immutableArgsData abi encoded representation of immutable args. Typically this
     *        is packed, and the implementation reads from the relevant runtime slot
     *        The immutable args are packed along with the `manager` (at slot 0x00) and 
     *        `description` (slot 0x14). Meaning `immutableArgsData` starts from slot 0x34
     */
    function create(
        address implementation,
        address manager,
        bytes32 description,
        bytes calldata immutableArgsData
    ) external returns (address);

    /// @notice Check if a given implemenation is registered
    function isRegistered(address implementation) external view returns (bool);

    /// @notice The number of registered implementations
    function numImplementations() external view returns (uint256);

    /**
     * @notice Paginated view of the implementations and their type/version string
     * @dev This can be called sequentially, increasing the `startIndex` each time by the number of items
     * returned in the previous call, until number of items returned is less than `maxItems`
     * Note if an implementation is removed then the order of the items may change.
     */
    function implementationDetailList(
        uint256 startIndex,
        uint256 maxItems
    ) external view returns (ImplementationDetail[] memory items);
}

pragma solidity ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/opal/IOpalManager.sol)

import { IERC165 } from "@openzeppelin/contracts/interfaces/IERC165.sol";
import { IOpalAdapterFactory } from "contracts/interfaces/investments/opal/IOpalAdapterFactory.sol";
import { IOrigamiBundler } from "contracts/interfaces/common/bundler/IOrigamiBundler.sol";
import { IOrigamiTokenizedBalanceSheetVault } from "contracts/interfaces/common/IOrigamiTokenizedBalanceSheetVault.sol";

/**
 * @title Origami Portfolio of Assets and Liabilities (OPAL) Manager
 */
interface IOpalManager is IERC165, IOrigamiBundler {
    event FeeBpsSet(uint16 joinFeeBps, uint16 exitFeeBps);
    event AdapterAdded(address indexed adapter);
    event AdapterRemoved(address indexed adapter);
    event PluginApprovedSet(address indexed plugin, bool value);

    error AdapterStillActive();
    error InvalidAdapter();

    /// @notice Set which plugins (other than adapters) are allowed to be called
    /// as part of bundled multicalls
    function setPluginApproved(address plugin, bool value) external;

    function approvedPlugins(address plugin) external view returns (bool);

    /// @notice Set the join/exit fee, capped by the `MAX_FEE_BPS`
    function setFees(uint16 newJoinFeeBps, uint16 newExitFeeBps) external;

    /**
     * @notice Create a new adapter for a given implementation via the adapterFactory and add it
     * into the aggregated balance sheet.
     * @dev The asset/liability tokens from this new adapter will be added into the aggregated set
     * however it is likely the amounts in the balance sheet of that new adapter will be zero to begin with.
     * @param implementation An adapter implemenation to clone (must be pre-registered in the adapterFactory)
     * @param description A small string (as bytes32) description for this clone. 
     *        format is left to the caller to decide, but for consistency could (but not
     *        enforced) be structured like:
     *        "[ASSET1.symbol, ASSET2.symbol] / [DEBT1.symbol, DEBT2.symbol]"
     * @param immutableArgsData abi encoded representation of immutable args. This must be
     *        encoded in a way the implemenation can decode at runtime.
     * @param immutableArgsData abi encoded representation of initialization args for that implemenation.
     *        This must be encoded in a way the implemenation can decode. adapter.initialize() is
     *        called immediately after creating the new clone of the implementation
     */
    function addAdapter(
        address implementation,
        bytes32 description,
        bytes calldata immutableArgsData,
        bytes calldata initData
    ) external returns (address);

    /**
     * @notice Remove an adapter from the aggregated set.
     * @dev There's no explicit check that the balance sheeet of this outgoing adapter is empty
     * as there may be dust amounts or issues with that particular adapter.
     */
    function removeAdapter(address adapter) external;

    /// @dev Container of asset and liability balances
    struct AssetsAndLiabilities {
        uint256[] assets;
        uint256[] liabilities;
    }

    /// @dev Container of the aggregated and per adapter balance sheet balances
    struct BalanceSheetData {
        /// @dev The aggregated balance sheet data - totalled across all adapters. The index of each matches the `tokens()`
        AssetsAndLiabilities aggregatedBalanceSheet;

        /// @dev The per adapter balance sheet. Abi encoded `AssetsAndLiabilities[]`, where the index of each matches that
        /// underlying adapter's `tokens()`
        /// The sum of these across the adapters equals the respective index for the same token of `combinedAssetBalances` 
        /// and `combinedLiabilityBalances`
        bytes perAdapterBS;
    }

    /**
     * @notice Add equity by allocating the assets and borrowing the liabilities from the underlying adapters.
     * @param assets The total amount of assets to hold or deposit across all adapters, in its native decimals places
     * @param liabilities the total amount of debt across all adapters to send to the receiver, in its native decimals places
     * @param receiver The address to receive the `liabilities`
     * @param bsData The encoded `BalanceSheetData` struct which contains the per adapter balance sheet
     * to work out the proportions
     */
    function join(
        uint256[] calldata assets,
        uint256[] calldata liabilities,
        address receiver,
        BalanceSheetData calldata bsData
    ) external;

    /**
     * @notice Remove equity by repaying `liabilities` and removing `assets` collateral from the underlying adapters.
     * Receiver receives the assets
     * @param assets The total amount of assets across all adapters to send to the receiver, in its native decimals places
     * @param liabilities The total amount of debt to repay across all adapters, in its native decimals places
     * @param receiver The address to receive the `collateralAmount` of `collateralToken`
     * @param bsData The encoded `BalanceSheetData` struct which contains the per adapter balance sheet
     * to work out the proportions
     */
    function exit(
        uint256[] calldata assets,
        uint256[] calldata liabilities,
        address receiver,
        BalanceSheetData calldata bsData
    ) external;

    /**
     * @notice Describe how a set of assets and liabilities will be applied across the set of adapters
     */
    function allocationsAcrossAdapters(
        uint256[] calldata assets,
        uint256[] calldata liabilities
    ) external view returns (AssetsAndLiabilities[] memory);

    /// @notice The Origami vault this is managing
    function vault() external view returns (address);

    /// @notice The combined set of asset tokens across all adapters
    /// @dev Note the size and order of this may change as adapters can be added and removed over time
    function assetTokens() external view returns (address[] memory);

    /// @notice The combined set of liability tokens across all adapters
    /// @dev Note the size and order of this may change as adapters can be added and removed over time
    function liabilityTokens() external view returns (address[] memory);

    /// @notice The combined balances of asset and liability tokens across all adapters
    /// @param totalAssets The combined asset amounts across all adapters. The index correlates to assetTokens()
    /// @param totalLiabilities The combined liability amounts across all adapters. The index correlates to assetTokens()
    /// @param encodedBalanceSheetData The encoded `BalanceSheetData` struct which contains the per adapter balance sheet
    /// to cache and then work out the proportions when allocating to adapters
    function balanceSheet() external view returns (
        uint256[] memory totalAssets,
        uint256[] memory totalLiabilities,
        bytes memory encodedBalanceSheetData
    );

    /// @notice Returns the total amount of the ASSETS and LIABILITIES this vault can join with as of this block
    /// @dev
    /// - `assets` MUST return a list which is the same size and order as `assetTokens()`
    /// - `liabilities` MUST return a list which is the same size and order as `liabilityTokens()`
    /// - SHOULD return zero if paused or entirely capped
    /// - SHOULD return type(uint256).max if unlimited
    /// - MUST NOT revert.
    function maxJoin() external view returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /// @notice Returns the total amount of the ASSETS and LIABILITIES this vault can exit with as of this block
    /// @dev
    /// - `assets` MUST return a list which is the same size and order as `assetTokens()`
    /// - `liabilities` MUST return a list which is the same size and order as `liabilityTokens()`
    /// - SHOULD return zero if paused or entirely capped
    /// - SHOULD return type(uint256).max if unlimited
    /// - MUST NOT revert.
    function maxExit() external view returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    );

    /// @dev Container to represent a given token and the index in the manager level (combined) assetTokens() or liabilityTokens()
    struct AdapterToCombinedIndexMapItem {
        /// @dev erc20 token address for one of the adapter assetTokens() or liabilityTokens()
        /// Must also be in the manager level combined assetTokens() or liabilityTokens()
        address token;

        /// @dev Index in the assetTokens() or liabilityTokens()
        uint256 combinedIndex;
    }

    /// @notice Mapping each of the adapter's token index to the combined manager level token index
    function adapterDetails(address adapter) external view returns (
        AdapterToCombinedIndexMapItem[] memory assetToCombinedIndexMap,
        AdapterToCombinedIndexMapItem[] memory liabilityToCombinedIndexMap
    );

    /// @notice The list of currently active adapters
    function adapters() external view returns (address[] memory);

    /// @notice A list of adapters which contain `token` in either its assetTokens() or liabilityTokens()
    function adaptersWithToken(address token) external view returns (address[] memory adapters);

    /// @notice Whether joinWithShares and joinWithAssets are currently paused
    function areJoinsPaused() external view returns (bool);

    /// @notice Whether exitToShares and exitToAssets are currently paused
    function areExitsPaused() external view returns (bool);

    /// @notice The current joinWithShares or joinWithTokens fee in basis points.
    function joinFeeBps() external view returns (uint16 feeBps);

    /// @notice The current exitToShares or exitToTokens fee in basis points.
    function exitFeeBps() external view returns (uint16 feeBps);

    /// @notice The factory used to create new adapters.
    function adapterFactory() external view returns (IOpalAdapterFactory factory);

    /// @notice The maximum exit fee in basis points: 3.3%
    function MAX_FEE_BPS() external view returns (uint16);

    /// @notice The maximum number of active adapters allowed
    function MAX_ADAPTERS() external view returns (uint256);

    /// @notice The maximum number of active tokens allowed in either the combined assetTokens() OR managerTokens()
    function MAX_TOKENS() external view returns (uint256);

    /// @notice Return whether the tokenAddress is part of the balance sheet assets or liabilities, and the index
    /// of that address in the respective assetTokens() or liabilityTokens() list
    /// - kind === ASSET if an asset
    /// - kind === LIABILITY if a liability
    /// - kind === INVALID if not an asset or liability (index will be zero in this case)
    function matchToken(address tokenAddress) external view returns (IOrigamiTokenizedBalanceSheetVault.AssetOrLiability kind, uint256 index);
}

pragma solidity ^0.8.4;
// SPDX-License-Identifier: AGPL-3.0-or-later
// Origami (interfaces/opal/IOpalVault.sol)

import { IOrigamiTokenizedBalanceSheetVault } from "contracts/interfaces/common/IOrigamiTokenizedBalanceSheetVault.sol";

/**
 * @title Origami Portfolio of Assets and Liabilities (OPAL) - Tokenized Balance Sheet (TBS) Vault 
 * @notice The logic to aggregate the adapter balance sheets and allocate out to the adapters is delegated to a manager.
 */
interface IOpalVault is IOrigamiTokenizedBalanceSheetVault {
    event PerformanceFeeSet(uint256 fee);
    event PerformanceFeesCollected(address indexed feeCollector, uint256 mintAmount);
    event FeeCollectorSet(address indexed feeCollector);

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

    /// @notice Set the Origami performance fee collector address
    function setFeeCollector(address _feeCollector) external;

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

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

    /// @notice The annual performance fee which Origami takes from harvested rewards before compounding into reserves.
    /// @dev 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 accrued performance fee amount which would be minted as of now, based on the total supply
    function accruedPerformanceFee() external view returns (uint256);

    /// @notice The maximum possible value for the Origami performance fee
    function MAX_PERFORMANCE_FEE_BPS() external view returns (uint16);
}

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 InvalidLength();
    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/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;
    uint256 public constant WAD_DECIMALS = 18;
    uint256 public constant WAD = 10 ** WAD_DECIMALS;

    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 = 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) {
        if (basisPoints == 0) return (inputAmount, 0); // gas shortcut for 0

        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/OrigamiTBSLib.sol)

import { OrigamiMath } from "contracts/libraries/OrigamiMath.sol";
import { IOrigamiTokenizedBalanceSheetVault as ITBSV } from "contracts/interfaces/common/IOrigamiTokenizedBalanceSheetVault.sol";

/// @dev Internal state cache of the balance sheet and input parameters.
/// This should be populated upfront before any actions are performed on the vault, 
/// and intended to immutable after that -- it should not be updated through the lifecycle of the transaction.
/// Motivation: Saves duplicated state and STATICCALL's, as well as circumventing stack-too-deep issues
struct TBSState {
    /// @dev The current list of asset tokens in the TBS
    address[] assetAddresses;

    /// @dev The current list of liability tokens in the TBS
    address[] liabilityAddresses;

    /// @dev The current balances of the assetTokens() in the balance sheet
    uint256[] assetBalances;

    /// @dev The current balances of the liabilityTokens() in the balance sheet
    uint256[] liabilityBalances;

    /// @dev The totalSupply of the vault
    uint256 totalSupply;

    /// @dev If the input token address is an asset/liability or neither
    ITBSV.AssetOrLiability inputTokenKind;

    /// @dev The index of the input token address. Always zero if invalid
    uint256 inputTokenIndex;

    /// @dev The amount of the input token. Set to zero if the token balance of 
    /// the input token address in the balance sheet is zero
    uint256 inputTokenAmount;

    /// @dev Any encoded state required by the implementation to allocate the total assets and liabilities.
    /// For example if the total needs to be split across multiple positions.
    /// May be left empty
    bytes balanceSheetData;
}

/// @dev A library to operate on cached Tokenized Balance Sheet state
library OrigamiTBSLib {
    using OrigamiMath for uint256;

    function _matchAmount(
        ITBSV.AssetOrLiability inputTokenKind,
        uint256 inputTokenIndex,
        uint256[] memory assetAmounts,
        uint256[] memory liabilityAmounts
    ) private pure returns (uint256 amount) {
        if (inputTokenKind == ITBSV.AssetOrLiability.ASSET) {
            return assetAmounts[inputTokenIndex];
        } else if (inputTokenKind == ITBSV.AssetOrLiability.LIABILITY) {
            return liabilityAmounts[inputTokenIndex];
        }

        // If INVALID return 0
    }

    function inputTokenBalance(TBSState memory $) internal pure returns (uint256 balance) {
        return _matchAmount($.inputTokenKind, $.inputTokenIndex, $.assetBalances, $.liabilityBalances);
    }

    /// @dev The available shares which can be minted as of now, under the maxTotalSupply
    /// If maxTotalSupply() is type(uint256).max, then this will also be type(uint256).max
    function availableSharesCapacity(
        uint256 totalSupply_, 
        uint256 maxTotalSupply_
    ) internal pure returns (uint256 shares) {
        if (maxTotalSupply_ == type(uint256).max) return maxTotalSupply_;

        if (totalSupply_ > maxTotalSupply_) {
            shares = 0;
        } else {
            unchecked {
                shares = maxTotalSupply_ - totalSupply_;
            }
        }
    }

    /// @dev Return whether the tokenAddress is part of the balance sheet assets or liabilities, and the index
    /// of that address in the respective assetTokens() or liabilityTokens() list
    /// - kind === ASSET if an asset
    /// - kind === LIABILITY if a liability
    /// - kind === INVALID if not an asset or liability (index will be zero in this case)
    function matchToken(
        address tokenAddress,
        address[] memory assetAddresses,
        address[] memory liabilityAddresses
    ) internal pure returns (ITBSV.AssetOrLiability kind, uint256 index) {
        uint256 i;
        for (; i < assetAddresses.length; ++i) {
            if (assetAddresses[i] == tokenAddress) {
                return (ITBSV.AssetOrLiability.ASSET, i);
            }
        }

        for (i = 0; i < liabilityAddresses.length; ++i) {
            if (liabilityAddresses[i] == tokenAddress) {
                return (ITBSV.AssetOrLiability.LIABILITY, i);
            }
        }

        // Leave uninitialized as ITBSV.AssetOrLiability.INVALID
    }

    /// @dev Convert an amount of one of the asset/liability tokens (specified in the `$` state) into
    /// the full set of shares/assets/liabilities.
    /// Based off the balance of that token in the vault and total supply of shares
    function convertInputTokenAmountToSharesAndTokens(
        TBSState memory $,
        OrigamiMath.Rounding sharesRounding,
        OrigamiMath.Rounding assetsRounding,
        OrigamiMath.Rounding liabilitiesRounding
    ) internal pure returns (
        uint256 shares,
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        shares = tokenToShares($.inputTokenAmount, inputTokenBalance($), $.totalSupply, sharesRounding);

        (assets, liabilities) = proportionalTokenAmountsFromShares({
            shares: shares,
            $: $,
            assetsRounding: assetsRounding,
            liabilitiesRounding: liabilitiesRounding
        });
    }

    /// @dev For each of the asset and liability tokens, calculate the proportional token
    /// amount given an amount of shares and the current total supply
    function proportionalTokenAmountsFromShares(
        TBSState memory $,
        uint256 shares,
        OrigamiMath.Rounding assetsRounding,
        OrigamiMath.Rounding liabilitiesRounding
    ) internal pure returns (
        uint256[] memory assets,
        uint256[] memory liabilities
    ) {
        assets = _proportionalTokenAmountsFromShares($, shares, ITBSV.AssetOrLiability.ASSET, assetsRounding);
        liabilities = _proportionalTokenAmountsFromShares($, shares, ITBSV.AssetOrLiability.LIABILITY, liabilitiesRounding);
    }

    function sharesToToken(
        uint256 shares,
        uint256 tokenBalance,
        uint256 totalSupply,
        OrigamiMath.Rounding rounding
    ) internal pure returns (uint256) {
        return totalSupply == 0
            ? 0
            : shares.mulDiv(tokenBalance, totalSupply, rounding);
    }

    function tokenToShares(
        uint256 tokenAmount,
        uint256 tokenBalance,
        uint256 totalSupply,
        OrigamiMath.Rounding rounding
    ) internal pure returns (uint256) {
        return tokenBalance == 0
            ? 0
            : tokenAmount.mulDiv(totalSupply, tokenBalance, rounding);
    }

    /// @dev For each token in either asset or liability tokens (specified by `forKind`),
    /// calculate the proportional token amount given an amount of shares and the current total supply
    ///   otherTokenAmount = shares * otherTokenBalance / totalSupply
    function _proportionalTokenAmountsFromShares(
        TBSState memory $,
        uint256 shares,
        ITBSV.AssetOrLiability forKind,
        OrigamiMath.Rounding rounding
    ) private pure returns (uint256[] memory amounts) {
        uint256 length = forKind == ITBSV.AssetOrLiability.ASSET 
            ? $.assetBalances.length
            : $.liabilityBalances.length;
        amounts = new uint256[](length);
        for (uint256 i; i < length; ++i) {
            if ($.totalSupply == 0) {
                // denominator is zero
                amounts[i] = 0;
            } else if (i == $.inputTokenIndex && $.inputTokenKind == forKind) {
                // If this if for the specified input token kind and index, use that amount exactly
                // rather than a rounded calculation which could cause some differences
                amounts[i] = $.inputTokenAmount;
            } else {
                // Calculate the amount as `shares * balance[i] / totalSupply`
                amounts[i] = sharesToToken(
                    shares,
                    _tokenBalance($, forKind, i),
                    $.totalSupply,
                    rounding
                );
            }
        }
    }

    /// @dev Get the cached token balance for a given kind and index of token in assets or liabilities
    function _tokenBalance(TBSState memory $, ITBSV.AssetOrLiability forKind, uint256 forIndex) private pure returns (uint256 bal) {
        if (forKind == ITBSV.AssetOrLiability.ASSET && forIndex < $.assetBalances.length) {
            bal = $.assetBalances[forIndex];
        } else if (forKind == ITBSV.AssetOrLiability.LIABILITY && forIndex < $.liabilityBalances.length) {
            bal = $.liabilityBalances[forIndex];
        }

        // Otherwise returns 0
    }
}

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

• No Contract Security Audit Submitted- Submit Audit Here

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