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/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.17;

// interfaces
import {IERC20} from "@openzeppelin/contracts/token/ERC20/IERC20.sol";
import {IDAO} from "@aragon/osx-commons-contracts/src/dao/IDAO.sol";
import {IVotingEscrowIncreasingV1_2_0 as IVotingEscrow} from "@escrow/IVotingEscrowIncreasing_v1_2_0.sol";
import {
    IEscrowCurveIncreasingV1_2_0 as IEscrowCurve,
    IEscrowCurveGlobal,
    IEscrowCurveCore,
    IEscrowCurveTokenV1_2_0 as IEscrowCurveToken
} from "@curve/IEscrowCurveIncreasing_v1_2_0.sol";

import {IClockUser, IClockV1_2_0 as IClock} from "@clock/IClock_v1_2_0.sol";

// libraries
import {SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";
import {SafeCast} from "@openzeppelin/contracts/utils/math/SafeCast.sol";
import {SignedFixedPointMath} from "@libs/SignedFixedPointMathLib.sol";
import {CurveConstantLib} from "@libs/CurveConstantLib.sol";

// contracts
import {UUPSUpgradeable} from "@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol";
import {ReentrancyGuardUpgradeable as ReentrancyGuard} from
    "@openzeppelin/contracts-upgradeable/security/ReentrancyGuardUpgradeable.sol";
import {DaoAuthorizableUpgradeable as DaoAuthorizable} from
    "@aragon/osx-commons-contracts/src/permission/auth/DaoAuthorizableUpgradeable.sol";

/// @title Linear Increasing Escrow Curve
contract LinearIncreasingCurve is IEscrowCurve, IClockUser, ReentrancyGuard, DaoAuthorizable, UUPSUpgradeable {
    using SafeERC20 for IERC20;
    using SafeCast for int256;
    using SafeCast for uint256;
    using SignedFixedPointMath for int256;

    /// @notice Administrator role for the contract
    bytes32 public constant CURVE_ADMIN_ROLE = keccak256("CURVE_ADMIN_ROLE");

    /// @notice The VotingEscrow contract address
    address public escrow;

    /// @notice The Clock contract address
    address public clock;

    /// @notice tokenId => latest index: incremented on a per-tokenId basis
    /// @custom:oz-renamed-from tokenPointIntervals
    mapping(uint256 => uint256) public tokenPointLatestIndex;

    /// @notice The warmup period for the curve
    /// @dev Deprecated in this version, but kept for backwards compatibility.
    uint48 public warmupPeriod;

    /// @dev tokenId => tokenPointIntervals => TokenPoint
    /// @dev The Array is fixed so we can write to it in the future
    /// This implementation means that very short intervals may be challenging
    mapping(uint256 => TokenPoint[1_000_000_000]) internal _tokenPointHistory;

    /*//////////////////////////////////////////////////////////////
                                MATH
    //////////////////////////////////////////////////////////////*/

    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable
    int256 private immutable SHARED_QUADRATIC_COEFFICIENT;
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable
    int256 private immutable SHARED_LINEAR_COEFFICIENT;
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable
    int256 private immutable SHARED_CONSTANT_COEFFICIENT;
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable
    uint256 private immutable MAX_EPOCHS;

    /*//////////////////////////////////////////////////////////////
                            ADDED: TOTAL SUPPLY(1.2.0)
    //////////////////////////////////////////////////////////////*/

    /// @dev The latest global point index.
    uint256 public globalPointLatestIndex;

    // endTime => summed up slopes at that endTime
    mapping(uint256 => int256) public slopeChanges;

    /// @dev The global point history
    mapping(uint256 => GlobalPoint) internal _globalPointHistory;

    /*//////////////////////////////////////////////////////////////
                              INITIALIZATION
    //////////////////////////////////////////////////////////////*/

    /// @custom:oz-upgrades-unsafe-allow constructor
    constructor(int256[3] memory _coefficients, uint256 _maxEpochs) {
        SHARED_CONSTANT_COEFFICIENT = _coefficients[0];
        SHARED_LINEAR_COEFFICIENT = _coefficients[1];
        SHARED_QUADRATIC_COEFFICIENT = _coefficients[2];

        MAX_EPOCHS = _maxEpochs;

        _disableInitializers();
    }

    /// @param _escrow VotingEscrow contract address
    function initialize(address _escrow, address _dao, address _clock) external initializer {
        escrow = _escrow;
        clock = _clock;

        __ReentrancyGuard_init();
        __DaoAuthorizableUpgradeable_init(IDAO(_dao));

        // other initializers are empty
    }

    /*//////////////////////////////////////////////////////////////
                              CURVE COEFFICIENTS
    //////////////////////////////////////////////////////////////*/

    /// @return The coefficient for the curve's linear term, for the given amount
    function _getLinearCoeff(uint256 amount) internal view virtual returns (int256) {
        return amount.toInt256() * SHARED_LINEAR_COEFFICIENT;
    }

    /// @return The constant coefficient of the increasing curve, for the given amount
    /// @dev In this case, the constant term is 1 so we just case the amount
    function _getConstantCoeff(uint256 amount) internal view virtual returns (int256) {
        return amount.toInt256() * SHARED_CONSTANT_COEFFICIENT;
    }

    /// @return The coefficients of the quadratic curve, for the given amount
    /// @dev The coefficients are returned in the order [constant, linear, quadratic]
    function _getCoefficients(uint256 amount) internal view virtual returns (int256[3] memory) {
        return [_getConstantCoeff(amount), _getLinearCoeff(amount), 0];
    }

    /// @return The coefficients of the quadratic curve, for the given amount
    /// @dev The coefficients are returned in the order [constant, linear, quadratic]
    /// and are converted to regular 256-bit signed integers instead of their fixed-point representation
    function getCoefficients(uint256 amount) public view virtual returns (int256[3] memory) {
        int256[3] memory coefficients = _getCoefficients(amount);

        return [
            coefficients[0] / 1e18, // amount
            coefficients[1] / 1e18, // slope
            0
        ];
    }

    /*//////////////////////////////////////////////////////////////
                              CURVE BIAS
    //////////////////////////////////////////////////////////////*/

    /// @notice Rounds `_elapsed` to maxTime if it's greater, otherwise returns `_elapsed`.
    function boundElapsedMaxTime(uint256 _elapsed) private view returns (uint256) {
        uint256 MAX_TIME = maxTime();
        return _elapsed > MAX_TIME ? MAX_TIME : _elapsed;
    }

    /// @notice Returns the bias for the given time elapsed and amount, up to the maximum time
    function getBias(uint256 timeElapsed, uint256 amount) public view returns (uint256) {
        int256[3] memory coefficients = _getCoefficients(amount);
        uint256 bias = _getBias(boundElapsedMaxTime(timeElapsed), coefficients[0], coefficients[1]);

        return bias / 1e18;
    }

    /// @notice Returns the bias for the given time elapsed and amount, up to the maximum time
    /// @dev Returned values from these functions are in fixed point representation
    ///    which is not the case in `getBias`.
    function _getBias(uint256 _timeElapsed, int256 _constantCoeff, int256 _linearCoeff)
        internal
        pure
        returns (uint256)
    {
        int256 bias = _linearCoeff * int256(_timeElapsed) + _constantCoeff;
        if (bias < 0) bias = 0;

        return bias.toUint256();
    }

    function _getBiasAndSlope(uint256 _timeElapsed, uint256 _amount) public view returns (int256, int256) {
        int256 slope = _getLinearCoeff(_amount);
        uint256 bias = _getBias(boundElapsedMaxTime(_timeElapsed), _getConstantCoeff(_amount), slope);

        return (int256(bias), slope);
    }

    function maxTime() public view virtual returns (uint256) {
        return IClock(clock).epochDuration() * MAX_EPOCHS;
    }

    function previewMaxBias(uint256 amount) external view returns (uint256) {
        return getBias(maxTime(), amount);
    }

    /*//////////////////////////////////////////////////////////////
                              BALANCE
    //////////////////////////////////////////////////////////////*/

    /// @inheritdoc IEscrowCurveToken
    function tokenPointHistory(uint256 _tokenId, uint256 _index) external view returns (TokenPoint memory point) {
        point = _tokenPointHistory[_tokenId][_index];
        /// bind for backwards compatibility
        point.bias = uint256(point.coefficients[0]) / 1e18;
    }

    /// @inheritdoc IEscrowCurveGlobal
    function globalPointHistory(uint256 _index) public view returns (GlobalPoint memory) {
        return _globalPointHistory[_index];
    }

    /// @inheritdoc IEscrowCurveToken
    function tokenPointIntervals(uint256 _tokenId) external view returns (uint256) {
        return tokenPointLatestIndex[_tokenId];
    }

    /// @inheritdoc IEscrowCurveCore
    function votingPowerAt(uint256 _tokenId, uint256 _t) external view returns (uint256) {
        uint256 interval = _getPastTokenPointInterval(_tokenId, _t);

        // epoch 0 is an empty point
        if (interval == 0) return 0;

        // Note that very first point is saved at index 1.
        // Grab original point(the very first point for `_tokenId`).
        TokenPoint memory originalPoint = _tokenPointHistory[_tokenId][1];

        // Grab last point before `_t`.
        TokenPoint memory lastPoint = _tokenPointHistory[_tokenId][interval];
        int256 bias = lastPoint.coefficients[0];
        int256 slope = lastPoint.coefficients[1];

        uint256 end = originalPoint.checkpointTs + maxTime();

        // If the point was created before the upgrade:
        //    it will have `checkpointTs` greater than `writtenTs`.
        //    bias would have been stored as just the amount(without bonus).
        // In such case, we make writtenTs equal to avoid checkpointTs greater.
        // This ensures that behaviour after and before upgrade are same.
        if (lastPoint.checkpointTs > lastPoint.writtenTs) {
            lastPoint.writtenTs = lastPoint.checkpointTs;
            if (_t < lastPoint.writtenTs) return 0;
        }

        uint256 elapsed = _t - lastPoint.writtenTs;

        uint256 timeTillMaxTime = 0;
        if (end > lastPoint.writtenTs) {
            timeTillMaxTime = end - lastPoint.writtenTs;
        }

        if (elapsed >= timeTillMaxTime) {
            elapsed = timeTillMaxTime;
        }

        return _getBias(elapsed, bias, slope) / 1e18;
    }

    /// @inheritdoc IEscrowCurveCore
    function supplyAt(uint256 _timestamp) external view returns (uint256) {
        return _supplyAt(_timestamp);
    }

    /*//////////////////////////////////////////////////////////////
                              CHECKPOINT
    //////////////////////////////////////////////////////////////*/

    /// @notice A checkpoint can be called by the VotingEscrow contract to snapshot the user's voting power
    function checkpoint(
        uint256 _tokenId,
        IVotingEscrow.LockedBalance memory _oldLocked,
        IVotingEscrow.LockedBalance memory _newLocked
    ) external nonReentrant {
        if (msg.sender != escrow) revert OnlyEscrow();
        _checkpoint(_tokenId, _oldLocked, _newLocked);
    }

    /// @notice Record user data to checkpoints. Used by VotingEscrow system.
    /// @param _tokenId NFT token ID.
    /// @param _fromLocked The locked from which we're moving.
    /// @param _newLocked New locked amount / end lock time for the user
    function _checkpoint(
        uint256 _tokenId,
        IVotingEscrow.LockedBalance memory _fromLocked,
        IVotingEscrow.LockedBalance memory _newLocked
    ) internal {
        // this implementation doesn't yet support manual checkpointing
        if (_tokenId == 0) revert InvalidTokenId();

        if (_newLocked.start < _fromLocked.start) {
            revert InvalidCheckpoint();
        }

        uint256 _globalPointLatestIndex = globalPointLatestIndex;

        // Get the slope and bias for `_newLocked`...
        (int256 newLockBias, int256 newLockSlope) =
            _getBiasAndSlope(block.timestamp - _newLocked.start, _newLocked.amount);

        GlobalPoint memory lastPoint = GlobalPoint({bias: 0, slope: 0, writtenTs: uint48(block.timestamp)});

        if (_globalPointLatestIndex > 0) {
            lastPoint = _globalPointHistory[_globalPointLatestIndex];
        }

        {
            uint256 checkpointInterval = IClock(clock).checkpointInterval();

            // For safety reasons, we don't allow checkpoints
            // on the exact checkpointInterval.
            if (block.timestamp % checkpointInterval == 0) {
                revert CheckpointOnDepositIntervalNotAllowed();
            }

            uint256 lastPointCheckpoint = lastPoint.writtenTs;
            uint256 t_i = (lastPointCheckpoint / checkpointInterval) * checkpointInterval;

            for (uint256 i = 0; i < 255; ++i) {
                t_i += checkpointInterval;
                int256 dSlope;

                if (t_i > block.timestamp) {
                    t_i = block.timestamp;
                } else {
                    dSlope = slopeChanges[t_i];
                }

                lastPoint.bias += lastPoint.slope * int256(t_i - lastPointCheckpoint);
                lastPoint.slope -= dSlope;

                if (lastPoint.slope < 0) lastPoint.slope = 0;
                if (lastPoint.bias < 0) lastPoint.bias = 0;

                lastPointCheckpoint = t_i;
                lastPoint.writtenTs = uint48(t_i);
                _globalPointLatestIndex += 1;

                if (t_i == block.timestamp) {
                    break;
                } else {
                    _globalPointHistory[_globalPointLatestIndex] = lastPoint;
                }
            }
        }

        uint256 _maxTime = maxTime();
        uint256 newLockedEnd = _newLocked.start + _maxTime;
        uint256 fromLockedEnd = _fromLocked.start + _maxTime;

        // The following condition is true if merging non-mature locks with different start dates.
        // current version of ve-governance is built around the assumption that merge can only
        // occur if tokens are either mature or have the same start dates. Even though `escrow`
        // does this check before calling `checkpoint` on curve, it's still a safety measure to repeat
        // the check in case the code of checkpoint might be called by another contract in the future.
        if (
            _fromLocked.start != 0 && _newLocked.start != 0 && _fromLocked.start != _newLocked.start
                && (newLockedEnd >= block.timestamp || fromLockedEnd >= block.timestamp)
        ) {
            revert InvalidLocks(_tokenId, _fromLocked, _newLocked);
        }

        // newLocked could be ended in case of merge, when
        // a token is already mature.
        if (newLockedEnd <= block.timestamp) {
            newLockSlope = 0;
        }

        (int256 oldLockBias, int256 oldLockSlope) = (0, 0);

        if (_fromLocked.amount > 0) {
            (oldLockBias, oldLockSlope) = _getBiasAndSlope(block.timestamp - _fromLocked.start, _fromLocked.amount);

            // In case fromLocked already ended, its slope would already
            // be subtracted from `lastPoint.slope` in the above for loop.
            // So we make this 0 to not subtract double times.
            if (fromLockedEnd <= block.timestamp) {
                oldLockSlope = 0;
            }
        }

        lastPoint.bias += (newLockBias - oldLockBias);
        lastPoint.slope += (newLockSlope - oldLockSlope);

        if (lastPoint.slope < 0) lastPoint.slope = 0;
        if (lastPoint.bias < 0) lastPoint.bias = 0;

        uint256 tokenLatestIndex = tokenPointLatestIndex[_tokenId];

        // The token point already exists..
        if (tokenLatestIndex > 0) {
            if (fromLockedEnd > block.timestamp) {
                slopeChanges[fromLockedEnd] -= oldLockSlope;
            }
        }

        // store new slope change
        slopeChanges[newLockedEnd] += newLockSlope;

        // Record the latest global point.
        _storeLatestGlobalPoint(lastPoint, _globalPointLatestIndex);

        // Create new token point and store.
        TokenPoint memory tNew;
        tNew.writtenTs = uint128(block.timestamp);
        tNew.checkpointTs = _newLocked.start;
        tNew.coefficients = [newLockBias, newLockSlope, 0];

        // Record the latest token point.
        _storeLatestTokenPoint(tNew, _tokenId, tokenLatestIndex);
    }

    /// @dev The private helper function to either store latest global point on a new index or overwrite it.
    ///      In case of overwriting, the latest global point index is not incremented.
    function _storeLatestGlobalPoint(GlobalPoint memory _p, uint256 _index) private {
        // If the timestamp of last stored global point is the same as
        // current timestamp, overwrite it, otherwise store a new one
        // to reduce unnecessary global points in the history for
        // gas costs and binary search efficiency.
        if (_index != 1 && _globalPointHistory[_index - 1].writtenTs == block.timestamp) {
            _globalPointHistory[_index - 1] = _p;
        } else {
            globalPointLatestIndex = _index;
            _globalPointHistory[_index] = _p;
        }
    }

    /// @dev The private helper function to either store latest token point on a new index or overwrite it.
    ///      In case of overwriting, the latest token point index is not incremented.
    function _storeLatestTokenPoint(TokenPoint memory _p, uint256 _tokenId, uint256 _index) private {
        // If the timestamp of last stored token point is the same as
        // current timestamp, overwrite it, otherwise store a new one
        // to reduce unnecessary global points in the history for
        // gas costs and binary search efficiency.
        if (_index != 0 && _tokenPointHistory[_tokenId][_index].writtenTs == block.timestamp) {
            _tokenPointHistory[_tokenId][_index] = _p;
        } else {
            tokenPointLatestIndex[_tokenId] = ++_index;
            _tokenPointHistory[_tokenId][_index] = _p;
        }
    }

    /*///////////////////////////////////////////////////////////////
            Total Supply and Voting Power Calculations
    //////////////////////////////////////////////////////////////*/

    /// @notice Binary search to get the token point interval for a token id at or prior to a given timestamp
    /// Once we have the point , we can apply the bias calculation to get the voting power.
    /// @dev If a token point does not exist prior to the timestamp, this will return 0.
    function _getPastTokenPointInterval(uint256 _tokenId, uint256 _timestamp) internal view returns (uint256) {
        uint256 tokenInterval = tokenPointLatestIndex[_tokenId];

        if (tokenInterval == 0) return 0;

        // if the most recent point is before the timestamp, return it
        if (_tokenPointHistory[_tokenId][tokenInterval].writtenTs <= _timestamp) {
            return (tokenInterval);
        }

        // Check if the first balance is after the timestamp
        // this means that the first epoch has yet to start
        if (_tokenPointHistory[_tokenId][1].writtenTs > _timestamp) return 0;

        uint256 lower = 0;
        uint256 upper = tokenInterval;
        while (upper > lower) {
            uint256 center = upper - (upper - lower) / 2; // ceil, avoiding overflow
            TokenPoint storage tokenPoint = _tokenPointHistory[_tokenId][center];
            if (tokenPoint.writtenTs == _timestamp) {
                return center;
            } else if (tokenPoint.writtenTs < _timestamp) {
                lower = center;
            } else {
                upper = center - 1;
            }
        }
        return lower;
    }

    /// @notice Binary search to get the global point index at or prior to a given timestamp
    /// @dev If a checkpoint does not exist prior to the timestamp, this will return 0.
    /// @param _timestamp The timestamp to get a checkpoint at.
    /// @return Global point index
    function getPastGlobalPointIndex(uint256 _timestamp) internal view returns (uint256) {
        if (globalPointLatestIndex == 0) return 0;
        // First check most recent balance
        if (_globalPointHistory[globalPointLatestIndex].writtenTs <= _timestamp) {
            return (globalPointLatestIndex);
        }
        // Next check implicit zero balance
        if (_globalPointHistory[1].writtenTs > _timestamp) return 0;

        uint256 lower = 0;
        uint256 upper = globalPointLatestIndex;
        while (upper > lower) {
            uint256 center = upper - (upper - lower) / 2; // ceil, avoiding overflow
            GlobalPoint storage globalPoint = _globalPointHistory[center];
            if (globalPoint.writtenTs == _timestamp) {
                return center;
            } else if (globalPoint.writtenTs < _timestamp) {
                lower = center;
            } else {
                upper = center - 1;
            }
        }
        return lower;
    }

    /// @notice Calculate total voting power at some point in the past
    /// @param _timestamp Time to calculate the total voting power at
    /// @return Total voting power at that time
    function _supplyAt(uint256 _timestamp) internal view returns (uint256) {
        uint256 epoch_ = getPastGlobalPointIndex(_timestamp);
        // epoch 0 is an empty point
        if (epoch_ == 0) return 0;
        GlobalPoint memory _point = _globalPointHistory[epoch_];

        int256 bias = _point.bias;
        int256 slope = _point.slope;
        uint256 ts = _point.writtenTs; // changes in for loop.

        uint256 checkpointInterval = IClock(clock).checkpointInterval();

        uint256 t_i = (ts / checkpointInterval) * checkpointInterval;

        for (uint256 i = 0; i < 255; ++i) {
            t_i += checkpointInterval;
            int256 dSlope = 0;

            if (t_i > _timestamp) {
                t_i = _timestamp;
            } else {
                dSlope = slopeChanges[t_i];
            }

            bias += slope * int256(t_i - ts);

            if (t_i == _timestamp) {
                break;
            }
            slope -= dSlope;
            ts = t_i;
        }

        if (bias < 0) bias = 0;

        return uint256(bias / 1e18);
    }

    /*///////////////////////////////////////////////////////////////
                            UUPS Upgrade
    //////////////////////////////////////////////////////////////*/

    /// @notice Returns the address of the implementation contract in the [proxy storage slot](https://eips.ethereum.org/EIPS/eip-1967) slot the [UUPS proxy](https://eips.ethereum.org/EIPS/eip-1822) is pointing to.
    /// @return The address of the implementation contract.
    function implementation() public view returns (address) {
        return _getImplementation();
    }

    /// @notice Internal method authorizing the upgrade of the contract via the [upgradeability mechanism for UUPS proxies](https://docs.openzeppelin.com/contracts/4.x/api/proxy#UUPSUpgradeable) (see [ERC-1822](https://eips.ethereum.org/EIPS/eip-1822)).
    function _authorizeUpgrade(address) internal virtual override auth(CURVE_ADMIN_ROLE) {}

    /// @dev Reserved storage space to allow for layout changes in the future.
    uint256[42] private __gap;

    /*//////////////////////////////////////////////////////////////
                          DEPRECATED: Warmup
    //////////////////////////////////////////////////////////////*/

    function setWarmupPeriod(uint48) external pure {
        revert Deprecated();
    }

    /// @notice Returns whether the NFT is warm
    /// @dev In this version, warm functionality has been deprecated.
    ///      For backwards compatibility, always return true.
    function isWarm(uint256) public pure virtual returns (bool) {
        return true;
    }

    /// @notice Returns whether the NFT is warm at the specified timestamp(`_ts`)
    /// @dev In this version, warm functionality has been deprecated.
    ///      For backwards compatibility, always return true.
    function isWarm(uint256, uint48) public pure virtual returns (bool) {
        return true;
    }
}

// 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: AGPL-3.0-or-later

pragma solidity ^0.8.8;

/// @title IDAO
/// @author Aragon X - 2022-2024
/// @notice The interface required for DAOs within the Aragon App DAO framework.
/// @custom:security-contact [email protected]
interface IDAO {
    /// @notice Checks if an address has permission on a contract via a permission identifier and considers if `ANY_ADDRESS` was used in the granting process.
    /// @param _where The address of the contract.
    /// @param _who The address of a EOA or contract to give the permissions.
    /// @param _permissionId The permission identifier.
    /// @param _data The optional data passed to the `PermissionCondition` registered.
    /// @return Returns true if the address has permission, false if not.
    function hasPermission(
        address _where,
        address _who,
        bytes32 _permissionId,
        bytes memory _data
    ) external view returns (bool);

    /// @notice Updates the DAO metadata (e.g., an IPFS hash).
    /// @param _metadata The IPFS hash of the new metadata object.
    function setMetadata(bytes calldata _metadata) external;

    /// @notice Emitted when the DAO metadata is updated.
    /// @param metadata The IPFS hash of the new metadata object.
    event MetadataSet(bytes metadata);

    /// @notice Emitted when a standard callback is registered.
    /// @param interfaceId The ID of the interface.
    /// @param callbackSelector The selector of the callback function.
    /// @param magicNumber The magic number to be registered for the callback function selector.
    event StandardCallbackRegistered(
        bytes4 interfaceId,
        bytes4 callbackSelector,
        bytes4 magicNumber
    );

    /// @notice Deposits (native) tokens to the DAO contract with a reference string.
    /// @param _token The address of the token or address(0) in case of the native token.
    /// @param _amount The amount of tokens to deposit.
    /// @param _reference The reference describing the deposit reason.
    function deposit(address _token, uint256 _amount, string calldata _reference) external payable;

    /// @notice Emitted when a token deposit has been made to the DAO.
    /// @param sender The address of the sender.
    /// @param token The address of the deposited token.
    /// @param amount The amount of tokens deposited.
    /// @param _reference The reference describing the deposit reason.
    event Deposited(
        address indexed sender,
        address indexed token,
        uint256 amount,
        string _reference
    );

    /// @notice Emitted when a native token deposit has been made to the DAO.
    /// @dev This event is intended to be emitted in the `receive` function and is therefore bound by the gas limitations for `send`/`transfer` calls introduced by [ERC-2929](https://eips.ethereum.org/EIPS/eip-2929).
    /// @param sender The address of the sender.
    /// @param amount The amount of native tokens deposited.
    event NativeTokenDeposited(address sender, uint256 amount);

    /// @notice Setter for the trusted forwarder verifying the meta transaction.
    /// @param _trustedForwarder The trusted forwarder address.
    function setTrustedForwarder(address _trustedForwarder) external;

    /// @notice Getter for the trusted forwarder verifying the meta transaction.
    /// @return The trusted forwarder address.
    function getTrustedForwarder() external view returns (address);

    /// @notice Emitted when a new TrustedForwarder is set on the DAO.
    /// @param forwarder the new forwarder address.
    event TrustedForwarderSet(address forwarder);

    /// @notice Checks whether a signature is valid for a provided hash according to [ERC-1271](https://eips.ethereum.org/EIPS/eip-1271).
    /// @param _hash The hash of the data to be signed.
    /// @param _signature The signature byte array associated with `_hash`.
    /// @return Returns the `bytes4` magic value `0x1626ba7e` if the signature is valid and `0xffffffff` if not.
    function isValidSignature(bytes32 _hash, bytes memory _signature) external returns (bytes4);

    /// @notice Registers an ERC standard having a callback by registering its [ERC-165](https://eips.ethereum.org/EIPS/eip-165) interface ID and callback function signature.
    /// @param _interfaceId The ID of the interface.
    /// @param _callbackSelector The selector of the callback function.
    /// @param _magicNumber The magic number to be registered for the function signature.
    function registerStandardCallback(
        bytes4 _interfaceId,
        bytes4 _callbackSelector,
        bytes4 _magicNumber
    ) external;

    /// @notice Removed function being left here to not corrupt the IDAO interface ID. Any call will revert.
    /// @dev Introduced in v1.0.0. Removed in v1.4.0.
    function setSignatureValidator(address) external;
}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import "./IVotingEscrowIncreasing.sol";
import {IEscrowIVotesAdapter, IDelegateUpdateVotingPower} from "@delegation/IEscrowIVotesAdapter.sol";

interface IVotingEscrowExiting {
    /// @notice How much amount has been exiting.
    /// @return total The total amount for which beginWithdrawal has been called
    ///         but withdraw has not yet been executed.
    function currentExitingAmount() external view returns (uint256);
}

interface IMergeEventsAndErrors {
    event Merged(
        address indexed _sender,
        uint256 indexed _from,
        uint256 indexed _to,
        uint208 _amountFrom,
        uint208 _amountTo,
        uint208 _amountFinal
    );

    error CannotMerge(uint256 _from, uint256 _to);
    error SameNFT();
}

interface IMerge is ILockedBalanceIncreasing, IMergeEventsAndErrors {
    /// @notice Merge two tokens - i.e  `from` into `_to`.
    /// @param _from The token id from which merge is occuring
    /// @param _to The token id to which `_from` is merging
    function merge(uint256 _from, uint256 _to) external;

    /// @notice Whether 2 tokens can be merged.
    /// @param _from The token id from which merge should occur.
    /// @param _to The token id to which `_from` should merge.
    function canMerge(
        LockedBalance memory _from,
        LockedBalance memory _to
    ) external view returns (bool);
}

interface ISplitEventsAndErrors {
    event Split(
        uint256 indexed _from,
        uint256 indexed newTokenId,
        address _sender,
        uint208 _splitAmount1,
        uint208 _splitAmount2
    );

    event SplitWhitelistSet(address indexed account, bool status);

    error SplitNotWhitelisted();
    error SplitAmountTooBig();
}

interface ISplit is ISplitEventsAndErrors {
    /// @notice Split token into two new, separate tokens.
    /// @param _from The token id that should be split
    /// @param _value The amount that determines how token is split
    /// @return _newTokenId The new token id after split.
    function split(
        uint256 _from,
        uint256 _value
    ) external returns (uint256 _newTokenId);
}

interface IDelegateMoveVoteCaller {
    /// @notice After a token transfer, decreases `_from`'s voting power and increases `_to`'s voting power.
    /// @dev Called upon a token transfer.
    /// @param _from The current delegatee of `_tokenId`.
    /// @param _to The new delegatee of `_tokenId`
    /// @param _tokenId The token id that is being transferred.
    function moveDelegateVotes(
        address _from,
        address _to,
        uint256 _tokenId
    ) external;
}

interface IVotingEscrowIncreasingV1_2_0 is
    IVotingEscrowIncreasing,
    IVotingEscrowExiting,
    IMerge,
    ISplit,
    IDelegateUpdateVotingPower,
    IDelegateMoveVoteCaller
{}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import "./IEscrowCurveIncreasing.sol";
import "../IDeprecated.sol";

/*///////////////////////////////////////////////////////////////
                        Global Curve
//////////////////////////////////////////////////////////////*/

interface IEscrowCurveGlobalStorage {
    /// @notice Captures the shape of the aggregate voting curve at a specific point in time
    /// @param bias The y intercept of the aggregate voting curve at the given time
    /// @param slope The slope of the aggregate voting curve at the given time
    /// @param writtenTs The timestamp at which the we last updated the aggregate voting curve
    struct GlobalPoint {
        int256 bias;
        int256 slope;
        uint48 writtenTs;
    }
}

interface IEscrowCurveGlobal is IEscrowCurveGlobalStorage {
    /// @notice Returns the global point at the passed epoch
    /// @param _index The index in an array to return the point for
    function globalPointHistory(uint256 _index) external view returns (GlobalPoint memory);
}

/*///////////////////////////////////////////////////////////////
                        Token Curve
//////////////////////////////////////////////////////////////*/

interface IEscrowCurveTokenV1_2_0 is IEscrowCurveTokenStorage {
    /// @notice Returns the latest index of the tokenId which can be used
    ///         to retrive token point from `tokenPointHistory` function.
    /// @dev This has been renamed to `tokenPointLatestIndex` in the latest upgrade, but
    ///      for backwards-compatibility, the function still stays in the contract.
    ///      Note that we treat it as deprecated, So use `tokenPointLatestIndex` instead.
    /// @return The latest index of the token id.
    function tokenPointIntervals(uint256 _tokenId) external view returns (uint256);

    /// @notice Returns the latest index of the tokenId which can be used
    ///         to retrive token point from `tokenPointHistory` function.
    /// @param _tokenId The NFT to return the latest token point index
    /// @return The latest index of the token id.
    function tokenPointLatestIndex(uint256 _tokenId) external view returns (uint256);

    /// @notice Returns the TokenPoint at the passed `_index`.
    /// @param _tokenId The NFT to return the TokenPoint for
    /// @param _index The index to return the TokenPoint at.
    function tokenPointHistory(
        uint256 _tokenId,
        uint256 _index
    ) external view returns (TokenPoint memory);
}

interface IEscrowCurveMaxTime is IEscrowCurveErrorsAndEvents {
    /// @return The max time allowed for the lock duration.
    function maxTime() external view returns (uint256);
}

/*///////////////////////////////////////////////////////////////
                        INCREASING CURVE
//////////////////////////////////////////////////////////////*/

interface IEscrowCurveIncreasingV1_2_0 is
    IEscrowCurveCore,
    IEscrowCurveMath,
    IEscrowCurveTokenV1_2_0,
    IEscrowCurveMaxTime,
    IEscrowCurveGlobal,
    IDeprecated
{}

interface IEscrowCurveIncreasingV1_2_0_NoSupply is
    IEscrowCurveCore,
    IEscrowCurveMath,
    IEscrowCurveTokenV1_2_0,
    IEscrowCurveMaxTime,
    IDeprecated
{}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import "./IClock.sol";

interface IClockV1_2_0 is IClock {
    function epochPrevCheckpointTs() external view returns (uint256);

    function resolveEpochPrevCheckpointTs(uint256 timestamp) external pure returns (uint256);
}

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import "@solmate/utils/SignedWadMath.sol";

error NegativeBase();

// shared interface for fixed point math implementations.
library SignedFixedPointMath {
    // solmate does this unchecked to save gas, easier to do this here
    // be extremely careful that you are doing all operations in FP
    // unlike PRB Math (unsupported in solidity 0.8.17)
    // solmate will not warn you that you are operating in scaled down mode
    function toFP(int256 x) internal pure returns (int256) {
        return x * 1e18;
    }

    function fromFP(int256 x) internal pure returns (int256) {
        return x / 1e18;
    }

    function mul(int256 x, int256 y) internal pure returns (int256) {
        return wadMul(x, y);
    }

    function div(int256 x, int256 y) internal pure returns (int256) {
        return wadDiv(x, y);
    }

    function add(int256 x, int256 y) internal pure returns (int256) {
        return x + y;
    }

    function sub(int256 x, int256 y) internal pure returns (int256) {
        return x - y;
    }

    function pow(int256 x, int256 y) internal pure returns (int256) {
        if (x < 0) revert NegativeBase();
        if (x == 0) return 0;
        return wadPow(x, y);
    }

    function lt(int256 x, int256 y) internal pure returns (bool) {
        return x < y;
    }

    function gt(int256 x, int256 y) internal pure returns (bool) {
        return x > y;
    }
}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

// The initial bias is scaled by a multiplier, which defaults to 1x (no scaling).
// To start with a higher initial bias (e.g., 1.5x the amount), update this value accordingly.
// For example, set it to 1.5 in case you want to start with 1.5 * amount.
int256 constant INITIAL_BIAS_MULTIPLIER = 1;

/// @title CurveConstantLib
/// @notice Precomputed coefficients for escrow curve
/// Below are the shared coefficients for the linear and quadratic terms
/// @dev This curve goes from 1x -> 2x voting power over a 2 year time horizon
/// Epochs are still 2 weeks long
library CurveConstantLib {
    int256 internal constant SHARED_CONSTANT_COEFFICIENT = INITIAL_BIAS_MULTIPLIER * 1e18;

    /// @dev straight line so the curve is increasing only in the linear term
    /// 1 / (52 * SECONDS_IN_2_WEEKS)
    int256 internal constant SHARED_LINEAR_COEFFICIENT = 1e18 / (int256(MAX_EPOCHS) * 2 weeks);

    /// @dev this curve is linear
    int256 internal constant SHARED_QUADRATIC_COEFFICIENT = 0;

    /// @dev the maxiumum number of epochs the cure can keep increasing
    /// 26 epochs in a year, 2 years = 52 epochs
    uint256 internal constant MAX_EPOCHS = 52;

    function getCoefficients() internal pure returns (int256[3] memory, uint256) {
        int256[3] memory coefficients;
        coefficients[0] = SHARED_CONSTANT_COEFFICIENT;
        coefficients[1] = SHARED_LINEAR_COEFFICIENT;
        coefficients[2] = SHARED_QUADRATIC_COEFFICIENT;
        uint256 maxEpoch = MAX_EPOCHS;

        return (coefficients, maxEpoch);
    }
}

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

pragma solidity ^0.8.0;

import "../../interfaces/draft-IERC1822Upgradeable.sol";
import "../ERC1967/ERC1967UpgradeUpgradeable.sol";
import "./Initializable.sol";

/**
 * @dev An upgradeability mechanism designed for UUPS proxies. The functions included here can perform an upgrade of an
 * {ERC1967Proxy}, when this contract is set as the implementation behind such a proxy.
 *
 * A security mechanism ensures that an upgrade does not turn off upgradeability accidentally, although this risk is
 * reinstated if the upgrade retains upgradeability but removes the security mechanism, e.g. by replacing
 * `UUPSUpgradeable` with a custom implementation of upgrades.
 *
 * The {_authorizeUpgrade} function must be overridden to include access restriction to the upgrade mechanism.
 *
 * _Available since v4.1._
 */
abstract contract UUPSUpgradeable is Initializable, IERC1822ProxiableUpgradeable, ERC1967UpgradeUpgradeable {
    function __UUPSUpgradeable_init() internal onlyInitializing {
    }

    function __UUPSUpgradeable_init_unchained() internal onlyInitializing {
    }
    /// @custom:oz-upgrades-unsafe-allow state-variable-immutable state-variable-assignment
    address private immutable __self = address(this);

    /**
     * @dev Check that the execution is being performed through a delegatecall call and that the execution context is
     * a proxy contract with an implementation (as defined in ERC1967) pointing to self. This should only be the case
     * for UUPS and transparent proxies that are using the current contract as their implementation. Execution of a
     * function through ERC1167 minimal proxies (clones) would not normally pass this test, but is not guaranteed to
     * fail.
     */
    modifier onlyProxy() {
        require(address(this) != __self, "Function must be called through delegatecall");
        require(_getImplementation() == __self, "Function must be called through active proxy");
        _;
    }

    /**
     * @dev Check that the execution is not being performed through a delegate call. This allows a function to be
     * callable on the implementing contract but not through proxies.
     */
    modifier notDelegated() {
        require(address(this) == __self, "UUPSUpgradeable: must not be called through delegatecall");
        _;
    }

    /**
     * @dev Implementation of the ERC1822 {proxiableUUID} function. This returns the storage slot used by the
     * implementation. It is used to validate the implementation's compatibility when performing an upgrade.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy. This is guaranteed by the `notDelegated` modifier.
     */
    function proxiableUUID() external view virtual override notDelegated returns (bytes32) {
        return _IMPLEMENTATION_SLOT;
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     *
     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall
     */
    function upgradeTo(address newImplementation) public virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, new bytes(0), false);
    }

    /**
     * @dev Upgrade the implementation of the proxy to `newImplementation`, and subsequently execute the function call
     * encoded in `data`.
     *
     * Calls {_authorizeUpgrade}.
     *
     * Emits an {Upgraded} event.
     *
     * @custom:oz-upgrades-unsafe-allow-reachable delegatecall
     */
    function upgradeToAndCall(address newImplementation, bytes memory data) public payable virtual onlyProxy {
        _authorizeUpgrade(newImplementation);
        _upgradeToAndCallUUPS(newImplementation, data, true);
    }

    /**
     * @dev Function that should revert when `msg.sender` is not authorized to upgrade the contract. Called by
     * {upgradeTo} and {upgradeToAndCall}.
     *
     * Normally, this function will use an xref:access.adoc[access control] modifier such as {Ownable-onlyOwner}.
     *
     * ```solidity
     * function _authorizeUpgrade(address) internal override onlyOwner {}
     * ```
     */
    function _authorizeUpgrade(address newImplementation) internal virtual;

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

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

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

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

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

    uint256 private _status;

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

    function __ReentrancyGuard_init_unchained() internal onlyInitializing {
        _status = _NOT_ENTERED;
    }

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

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

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

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

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

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

// SPDX-License-Identifier: AGPL-3.0-or-later

pragma solidity ^0.8.8;

import {ContextUpgradeable} from "@openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol";

import {IDAO} from "../../dao/IDAO.sol";
import {_auth} from "./auth.sol";

/// @title DaoAuthorizableUpgradeable
/// @author Aragon X - 2022-2023
/// @notice An abstract contract providing a meta-transaction compatible modifier for upgradeable or cloneable contracts to authorize function calls through an associated DAO.
/// @dev Make sure to call `__DaoAuthorizableUpgradeable_init` during initialization of the inheriting contract.
/// @custom:security-contact [email protected]
abstract contract DaoAuthorizableUpgradeable is ContextUpgradeable {
    /// @notice The associated DAO managing the permissions of inheriting contracts.
    IDAO private dao_;

    /// @notice Initializes the contract by setting the associated DAO.
    /// @param _dao The associated DAO address.
    // solhint-disable-next-line func-name-mixedcase
    function __DaoAuthorizableUpgradeable_init(IDAO _dao) internal onlyInitializing {
        dao_ = _dao;
    }

    /// @notice Returns the DAO contract.
    /// @return The DAO contract.
    function dao() public view returns (IDAO) {
        return dao_;
    }

    /// @notice A modifier to make functions on inheriting contracts authorized. Permissions to call the function are checked through the associated DAO's permission manager.
    /// @param _permissionId The permission identifier required to call the method this modifier is applied to.
    modifier auth(bytes32 _permissionId) {
        _auth(dao_, address(this), _msgSender(), _permissionId, _msgData());
        _;
    }

    /// @notice This empty reserved space is put in place to allow future versions to add new variables without shifting down storage in the inheritance chain (see [OpenZeppelin's guide about storage gaps](https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps)).
    uint256[49] private __gap;
}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

/*///////////////////////////////////////////////////////////////
                        CORE FUNCTIONALITY
//////////////////////////////////////////////////////////////*/

interface ILockedBalanceIncreasing {
    struct LockedBalance {
        uint208 amount;
        uint48 start; // mirrors oz ERC20 timestamp clocks
    }
}

interface IVotingEscrowCoreErrors {
    error NoLockFound();
    error NotOwner();
    error NoOwner();
    error NotSameOwner();
    error NonExistentToken();
    error NotApprovedOrOwner();
    error ZeroAddress();
    error ZeroAmount();
    error ZeroBalance();
    error SameAddress();
    error LockNFTAlreadySet();
    error MustBe18Decimals();
    error TransferBalanceIncorrect();
    error AmountTooSmall();
    error OnlyLockNFT();
    error OnlyIVotesAdapter();
    error AddressAlreadySet();
}

interface IVotingEscrowCoreEvents {
    event MinDepositSet(uint256 minDeposit);

    event Deposit(
        address indexed depositor,
        uint256 indexed tokenId,
        uint256 indexed startTs,
        uint256 value,
        uint256 newTotalLocked
    );
    event Withdraw(
        address indexed depositor,
        uint256 indexed tokenId,
        uint256 value,
        uint256 ts,
        uint256 newTotalLocked
    );
}

interface IVotingEscrowCore is
    ILockedBalanceIncreasing,
    IVotingEscrowCoreErrors,
    IVotingEscrowCoreEvents
{
    /// @notice Address of the underying ERC20 token.
    function token() external view returns (address);

    /// @notice Address of the lock receipt NFT.
    function lockNFT() external view returns (address);

    /// @notice Total underlying tokens deposited in the contract
    function totalLocked() external view returns (uint256);

    /// @notice Get the raw locked balance for `_tokenId`
    function locked(uint256 _tokenId) external view returns (LockedBalance memory);

    /// @notice Deposit `_value` tokens for `msg.sender`
    /// @param _value Amount to deposit
    /// @return TokenId of created veNFT
    function createLock(uint256 _value) external returns (uint256);

    /// @notice Deposit `_value` tokens for `_to`
    /// @param _value Amount to deposit
    /// @param _to Address to deposit
    /// @return TokenId of created veNFT
    function createLockFor(uint256 _value, address _to) external returns (uint256);

    /// @notice Withdraw all tokens for `_tokenId`
    function withdraw(uint256 _tokenId) external;

    /// @notice helper utility for NFT checks
    function isApprovedOrOwner(address spender, uint256 tokenId) external view returns (bool);
}

/*///////////////////////////////////////////////////////////////
                        WITHDRAWAL QUEUE
//////////////////////////////////////////////////////////////*/

interface IWithdrawalQueueErrors {
    error NotTicketHolder();
    error CannotExit();
    error CannotWithdrawInSameBlock();
}

interface IWithdrawalQueueEvents {}

interface IWithdrawalQueue is IWithdrawalQueueErrors, IWithdrawalQueueEvents {
    /// @notice Enters a tokenId into the withdrawal queue by transferring to this contract and creating a ticket.
    /// @param _tokenId The tokenId to begin withdrawal for. Will be transferred to this contract before burning.
    /// @dev The user must not have active votes in the voter contract.
    function beginWithdrawal(uint256 _tokenId) external;

    /// @notice Address of the contract that manages exit queue logic for withdrawals
    function queue() external view returns (address);
}

/*///////////////////////////////////////////////////////////////
                        SWEEPER
//////////////////////////////////////////////////////////////*/

interface ISweeperEvents {
    event Sweep(address indexed to, uint256 amount);
    event SweepNFT(address indexed to, uint256 tokenId);
}

interface ISweeperErrors {
    error NothingToSweep();
}

interface ISweeper is ISweeperEvents, ISweeperErrors {
    /// @notice sweeps excess tokens from the contract to a designated address
    function sweep() external;

    function sweepNFT(uint256 _tokenId, address _to) external;
}

/*///////////////////////////////////////////////////////////////
                        DYNAMIC VOTER
//////////////////////////////////////////////////////////////*/

interface IDynamicVoterErrors {
    error NotVoter();
    error OwnershipChange();
    error AlreadyVoted();
}

interface IDynamicVoter is IDynamicVoterErrors {
    /// @notice Address of the voting contract.
    /// @dev We need to ensure votes are not left in this contract before allowing positing changes
    function voter() external view returns (address);

    /// @notice Address of the voting Escrow Curve contract that will calculate the voting power
    function curve() external view returns (address);

    /// @notice Get the voting power for _tokenId at the current timestamp
    /// @dev Returns 0 if called in the same block as a transfer.
    /// @param _tokenId .
    /// @return Voting power
    function votingPower(uint256 _tokenId) external view returns (uint256);

    /// @notice Get the voting power for _tokenId at a given timestamp
    /// @param _tokenId .
    /// @param _t Timestamp to query voting power
    /// @return Voting power
    function votingPowerAt(uint256 _tokenId, uint256 _t) external view returns (uint256);

    /// @notice Get the voting power for _account at the current timestamp
    /// Aggregtes all voting power for all tokens owned by the account
    /// @dev This cannot be used historically without token snapshots
    function votingPowerForAccount(address _account) external view returns (uint256);

    /// @notice Calculate total voting power at current timestamp
    /// @return Total voting power at current timestamp
    function totalVotingPower() external view returns (uint256);

    /// @notice Calculate total voting power at a given timestamp
    /// @param _t Timestamp to query total voting power
    /// @return Total voting power at given timestamp
    function totalVotingPowerAt(uint256 _t) external view returns (uint256);

    /// @notice See if a queried _tokenId has actively voted
    /// @return True if voted, else false
    function isVoting(uint256 _tokenId) external view returns (bool);

    /// @notice Set the global state voter
    function setVoter(address _voter) external;
}

/*///////////////////////////////////////////////////////////////
                        INCREASED ESCROW
//////////////////////////////////////////////////////////////*/

interface IVotingEscrowIncreasing is IVotingEscrowCore, IDynamicVoter, IWithdrawalQueue, ISweeper {}

/// @dev useful for testing
interface IVotingEscrowEventsStorageErrorsEvents is
    IVotingEscrowCoreErrors,
    IVotingEscrowCoreEvents,
    IWithdrawalQueueErrors,
    IWithdrawalQueueEvents,
    ILockedBalanceIncreasing,
    ISweeperEvents,
    ISweeperErrors
{}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import {
    IVotesUpgradeable
} from "@openzeppelin/contracts-upgradeable/governance/utils/IVotesUpgradeable.sol";

import {ILockedBalanceIncreasing} from "@escrow/IVotingEscrowIncreasing.sol";

interface IEscrowIVotesAdapterErrorsAndEvents {
    event AutoDelegationDisabledSet(address indexed delegate, bool enabled);
    event TokensDelegated(address indexed sender, address indexed delegatee, uint256[] tokenIds);
    event TokensUndelegated(address indexed sender, address indexed delegatee, uint256[] tokenIds);

    error OnlyEscrow();

    error DelegateBySigNotSupported();

    error NotApprovedOrOwner();
    error InvalidTokenId();
    error DelegationNotAllowed();
    error DelegateeNotSet();

    error TokenAlreadyDelegated(uint256 tokenId);
    error TokenNotDelegated(uint256 tokenId);
    error VotingPowerZero(uint256 tokenId);
    error TokenListEmpty();

    error ZeroTransition();
}

interface IDelegateMoveVoteRecipient {
    struct TokenLock {
        address account;
        uint256 tokenId;
        ILockedBalanceIncreasing.LockedBalance locked;
    }

    /// @notice The hook function that is called upon `split`.
    function splitDelegateVotes(TokenLock calldata _from, TokenLock calldata _to) external;

    /// @notice The hook function that is called upon `merge`.
    function mergeDelegateVotes(TokenLock calldata _from, TokenLock calldata _to) external;

    /// @notice After a token transfer, decreases `_from`'s voting power and increases `_to`'s voting power.
    /// @dev Called upon a token transfer or create lock.
    /// @param _from The current delegatee of `_tokenId`.
    /// @param _to The new delegatee of `_tokenId`
    /// @param _tokenId The token id that is being transferred.
    /// @param _locked The lock data of the token.
    function moveDelegateVotes(
        address _from,
        address _to,
        uint256 _tokenId,
        ILockedBalanceIncreasing.LockedBalance memory _locked
    ) external;
}

interface IDelegateUpdateVotingPower {
    /// @notice Updates current voting power of `_from` and `_to`.
    /// @dev Called upon a token transfer and delegate/undelegate.
    function updateVotingPower(address _from, address _to) external;
}

interface IEscrowIVotesAdapterStorage {
    struct GlobalPoint {
        int256 bias;
        int256 slope;
        uint48 writtenTs;
    }
}

interface IEscrowIVotesAdapter is
    IEscrowIVotesAdapterErrorsAndEvents,
    IEscrowIVotesAdapterStorage,
    IDelegateMoveVoteRecipient,
    IVotesUpgradeable
{
    /// @notice Allows to delegate `_tokenIds` to the current delegatee
    ///         which is set by IVotes's `delegate` function.
    /// @param _tokenIds The list of token ids that are being delegated.
    function delegate(uint256[] calldata _tokenIds) external;

    /// @notice Allows to un-delegate `_tokenIds` from the current delegatee
    ///         which was set by delegate.
    /// @param _tokenIds The list of token ids that are being un-delegated.
    function undelegate(uint256[] calldata _tokenIds) external;

    /// @notice Check if the token is currently delegated or not.
    function tokenIsDelegated(uint256 _tokenId) external view returns (bool);

    /// @notice Returns the current delegatee of `_account`.
    function delegates(address _account) external view returns (address);
}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

import {ILockedBalanceIncreasing} from "@escrow/IVotingEscrowIncreasing.sol";

/*///////////////////////////////////////////////////////////////
                        Token Curve
//////////////////////////////////////////////////////////////*/

interface IEscrowCurveTokenStorage {
    /// @notice Captures the shape of the user's voting curve at a specific point in time
    /// @param bias The y intercept of the user's voting curve at the given time
    /// @param checkpointTs The checkpoint when the user voting curve is/was/will be updated
    /// @param writtenTs The timestamp at which we locked the checkpoint
    /// @param coefficients The coefficients of the curve, supports up to quadratic curves.
    /// @dev Coefficients are stored in the following order: [constant, linear, quadratic]
    /// and not all coefficients are used for all curves.
    struct TokenPoint {
        uint256 bias;
        uint128 checkpointTs;
        uint128 writtenTs;
        int256[3] coefficients;
    }
}

interface IEscrowCurveToken is IEscrowCurveTokenStorage {
    /// @notice returns the token point at time `timestamp`
    function tokenPointIntervals(uint256 timestamp) external view returns (uint256);

    /// @notice Returns the TokenPoint at the passed epoch
    /// @param _tokenId The NFT to return the TokenPoint for
    /// @param _loc The epoch to return the TokenPoint at
    function tokenPointHistory(
        uint256 _tokenId,
        uint256 _loc
    ) external view returns (TokenPoint memory);
}

/*///////////////////////////////////////////////////////////////
                        Core Functions
//////////////////////////////////////////////////////////////*/

interface IEscrowCurveErrorsAndEvents {
    error InvalidTokenId();
    error InvalidCheckpoint();
    error OnlyEscrow();
    error CheckpointOnDepositIntervalNotAllowed();
    error InvalidLocks(
        uint256 tokenId,
        ILockedBalanceIncreasing.LockedBalance fromLocked,
        ILockedBalanceIncreasing.LockedBalance newLocked
    );
}

interface IEscrowCurveCore is IEscrowCurveErrorsAndEvents {
    /// @notice Get the current voting power for `_tokenId`
    /// @dev Adheres to the ERC20 `balanceOf` interface for Aragon compatibility
    ///      Fetches last token point prior to a certain timestamp, then walks forward to timestamp.
    /// @param _tokenId NFT for lock
    /// @param _t Epoch time to return voting power at
    /// @return Token voting power
    function votingPowerAt(uint256 _tokenId, uint256 _t) external view returns (uint256);

    /// @notice Calculate total voting power at some point in the past
    /// @param _t Time to calculate the total voting power at
    /// @return Total voting power at that time
    function supplyAt(uint256 _t) external view returns (uint256);

    /// @notice Writes a snapshot of voting power at the current epoch
    /// @param _tokenId Snapshot a specific token
    /// @param _oldLocked The token's previous locked balance
    /// @param _newLocked The token's new locked balance
    function checkpoint(
        uint256 _tokenId,
        ILockedBalanceIncreasing.LockedBalance memory _oldLocked,
        ILockedBalanceIncreasing.LockedBalance memory _newLocked
    ) external;
}

interface IEscrowCurveMath {
    /// @notice Preview the curve coefficients for curves up to quadratic.
    /// @param amount The amount of tokens to calculate the coefficients for - given a fixed algebraic representation
    /// @return coefficients in the form [constant, linear, quadratic]
    /// @dev Not all coefficients are used for all curves
    function getCoefficients(uint256 amount) external view returns (int256[3] memory coefficients);

    /// @notice Bias is the token's voting weight
    function getBias(uint256 timeElapsed, uint256 amount) external view returns (uint256 bias);
}

/*///////////////////////////////////////////////////////////////
                        WARMUP CURVE
//////////////////////////////////////////////////////////////*/

interface IWarmupEvents {
    event WarmupSet(uint48 warmup);
}

interface IWarmup is IWarmupEvents {
    /// @notice Set the warmup period for the curve
    function setWarmupPeriod(uint48 _warmup) external;

    /// @notice the warmup period for the curve
    function warmupPeriod() external view returns (uint48);

    /// @notice check if the curve is past the warming period
    function isWarm(uint256 _tokenId) external view returns (bool);
}

/*///////////////////////////////////////////////////////////////
                        INCREASING CURVE
//////////////////////////////////////////////////////////////*/

/// @dev first version only accounts for token-level point histories
interface IEscrowCurveIncreasing is
    IEscrowCurveCore,
    IEscrowCurveMath,
    IEscrowCurveToken,
    IWarmup
{}

// SPDX-License-Identifier: AGPL-3.0-only
pragma solidity ^0.8.0;

interface IDeprecated {
    /// @notice This function is deprecated and should not be used.
    error Deprecated();
}

/// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

interface IClockUser {
    function clock() external view returns (address);
}

interface IClock {
    function epochDuration() external pure returns (uint256);

    function checkpointInterval() external pure returns (uint256);

    function voteDuration() external pure returns (uint256);

    function voteWindowBuffer() external pure returns (uint256);

    function currentEpoch() external view returns (uint256);

    function resolveEpoch(uint256 timestamp) external pure returns (uint256);

    function elapsedInEpoch() external view returns (uint256);

    function resolveElapsedInEpoch(uint256 timestamp) external pure returns (uint256);

    function epochStartsIn() external view returns (uint256);

    function resolveEpochStartsIn(uint256 timestamp) external pure returns (uint256);

    function epochStartTs() external view returns (uint256);

    function resolveEpochStartTs(uint256 timestamp) external pure returns (uint256);

    function votingActive() external view returns (bool);

    function resolveVotingActive(uint256 timestamp) external pure returns (bool);

    function epochVoteStartsIn() external view returns (uint256);

    function resolveEpochVoteStartsIn(uint256 timestamp) external pure returns (uint256);

    function epochVoteStartTs() external view returns (uint256);

    function resolveEpochVoteStartTs(uint256 timestamp) external pure returns (uint256);

    function epochVoteEndsIn() external view returns (uint256);

    function resolveEpochVoteEndsIn(uint256 timestamp) external pure returns (uint256);

    function epochVoteEndTs() external view returns (uint256);

    function resolveEpochVoteEndTs(uint256 timestamp) external pure returns (uint256);

    function epochNextCheckpointIn() external view returns (uint256);

    function resolveEpochNextCheckpointIn(uint256 timestamp) external pure returns (uint256);

    function epochNextCheckpointTs() external view returns (uint256);

    function resolveEpochNextCheckpointTs(uint256 timestamp) external pure returns (uint256);
}

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

pragma solidity ^0.8.0;

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

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

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

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

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/// @notice Signed 18 decimal fixed point (wad) arithmetic library.
/// @author Solmate (https://github.com/transmissions11/solmate/blob/main/src/utils/SignedWadMath.sol)
/// @author Modified from Remco Bloemen (https://xn--2-umb.com/22/exp-ln/index.html)

/// @dev Will not revert on overflow, only use where overflow is not possible.
function toWadUnsafe(uint256 x) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Multiply x by 1e18.
        r := mul(x, 1000000000000000000)
    }
}

/// @dev Takes an integer amount of seconds and converts it to a wad amount of days.
/// @dev Will not revert on overflow, only use where overflow is not possible.
/// @dev Not meant for negative second amounts, it assumes x is positive.
function toDaysWadUnsafe(uint256 x) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Multiply x by 1e18 and then divide it by 86400.
        r := div(mul(x, 1000000000000000000), 86400)
    }
}

/// @dev Takes a wad amount of days and converts it to an integer amount of seconds.
/// @dev Will not revert on overflow, only use where overflow is not possible.
/// @dev Not meant for negative day amounts, it assumes x is positive.
function fromDaysWadUnsafe(int256 x) pure returns (uint256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Multiply x by 86400 and then divide it by 1e18.
        r := div(mul(x, 86400), 1000000000000000000)
    }
}

/// @dev Will not revert on overflow, only use where overflow is not possible.
function unsafeWadMul(int256 x, int256 y) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Multiply x by y and divide by 1e18.
        r := sdiv(mul(x, y), 1000000000000000000)
    }
}

/// @dev Will return 0 instead of reverting if y is zero and will
/// not revert on overflow, only use where overflow is not possible.
function unsafeWadDiv(int256 x, int256 y) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Multiply x by 1e18 and divide it by y.
        r := sdiv(mul(x, 1000000000000000000), y)
    }
}

function wadMul(int256 x, int256 y) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Store x * y in r for now.
        r := mul(x, y)

        // Combined overflow check (`x == 0 || (x * y) / x == y`) and edge case check
        // where x == -1 and y == type(int256).min, for y == -1 and x == min int256,
        // the second overflow check will catch this.
        // See: https://secure-contracts.com/learn_evm/arithmetic-checks.html#arithmetic-checks-for-int256-multiplication
        // Combining into 1 expression saves gas as resulting bytecode will only have 1 `JUMPI`
        // rather than 2.
        if iszero(
            and(
                or(iszero(x), eq(sdiv(r, x), y)),
                or(lt(x, not(0)), sgt(y, 0x8000000000000000000000000000000000000000000000000000000000000000))
            )
        ) {
            revert(0, 0)
        }

        // Scale the result down by 1e18.
        r := sdiv(r, 1000000000000000000)
    }
}

function wadDiv(int256 x, int256 y) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Store x * 1e18 in r for now.
        r := mul(x, 1000000000000000000)

        // Equivalent to require(y != 0 && ((x * 1e18) / 1e18 == x))
        if iszero(and(iszero(iszero(y)), eq(sdiv(r, 1000000000000000000), x))) {
            revert(0, 0)
        }

        // Divide r by y.
        r := sdiv(r, y)
    }
}

/// @dev Will not work with negative bases, only use when x is positive.
function wadPow(int256 x, int256 y) pure returns (int256) {
    // Equivalent to x to the power of y because x ** y = (e ** ln(x)) ** y = e ** (ln(x) * y)
    return wadExp((wadLn(x) * y) / 1e18); // Using ln(x) means x must be greater than 0.
}

function wadExp(int256 x) pure returns (int256 r) {
    unchecked {
        // When the result is < 0.5 we return zero. This happens when
        // x <= floor(log(0.5e18) * 1e18) ~ -42e18
        if (x <= -42139678854452767551) return 0;

        // When the result is > (2**255 - 1) / 1e18 we can not represent it as an
        // int. This happens when x >= floor(log((2**255 - 1) / 1e18) * 1e18) ~ 135.
        if (x >= 135305999368893231589) revert("EXP_OVERFLOW");

        // x is now in the range (-42, 136) * 1e18. Convert to (-42, 136) * 2**96
        // for more intermediate precision and a binary basis. This base conversion
        // is a multiplication by 1e18 / 2**96 = 5**18 / 2**78.
        x = (x << 78) / 5**18;

        // Reduce range of x to (-½ ln 2, ½ ln 2) * 2**96 by factoring out powers
        // of two such that exp(x) = exp(x') * 2**k, where k is an integer.
        // Solving this gives k = round(x / log(2)) and x' = x - k * log(2).
        int256 k = ((x << 96) / 54916777467707473351141471128 + 2**95) >> 96;
        x = x - k * 54916777467707473351141471128;

        // k is in the range [-61, 195].

        // Evaluate using a (6, 7)-term rational approximation.
        // p is made monic, we'll multiply by a scale factor later.
        int256 y = x + 1346386616545796478920950773328;
        y = ((y * x) >> 96) + 57155421227552351082224309758442;
        int256 p = y + x - 94201549194550492254356042504812;
        p = ((p * y) >> 96) + 28719021644029726153956944680412240;
        p = p * x + (4385272521454847904659076985693276 << 96);

        // We leave p in 2**192 basis so we don't need to scale it back up for the division.
        int256 q = x - 2855989394907223263936484059900;
        q = ((q * x) >> 96) + 50020603652535783019961831881945;
        q = ((q * x) >> 96) - 533845033583426703283633433725380;
        q = ((q * x) >> 96) + 3604857256930695427073651918091429;
        q = ((q * x) >> 96) - 14423608567350463180887372962807573;
        q = ((q * x) >> 96) + 26449188498355588339934803723976023;

        /// @solidity memory-safe-assembly
        assembly {
            // Div in assembly because solidity adds a zero check despite the unchecked.
            // The q polynomial won't have zeros in the domain as all its roots are complex.
            // No scaling is necessary because p is already 2**96 too large.
            r := sdiv(p, q)
        }

        // r should be in the range (0.09, 0.25) * 2**96.

        // We now need to multiply r by:
        // * the scale factor s = ~6.031367120.
        // * the 2**k factor from the range reduction.
        // * the 1e18 / 2**96 factor for base conversion.
        // We do this all at once, with an intermediate result in 2**213
        // basis, so the final right shift is always by a positive amount.
        r = int256((uint256(r) * 3822833074963236453042738258902158003155416615667) >> uint256(195 - k));
    }
}

function wadLn(int256 x) pure returns (int256 r) {
    unchecked {
        require(x > 0, "UNDEFINED");

        // We want to convert x from 10**18 fixed point to 2**96 fixed point.
        // We do this by multiplying by 2**96 / 10**18. But since
        // ln(x * C) = ln(x) + ln(C), we can simply do nothing here
        // and add ln(2**96 / 10**18) at the end.

        /// @solidity memory-safe-assembly
        assembly {
            r := shl(7, lt(0xffffffffffffffffffffffffffffffff, x))
            r := or(r, shl(6, lt(0xffffffffffffffff, shr(r, x))))
            r := or(r, shl(5, lt(0xffffffff, shr(r, x))))
            r := or(r, shl(4, lt(0xffff, shr(r, x))))
            r := or(r, shl(3, lt(0xff, shr(r, x))))
            r := or(r, shl(2, lt(0xf, shr(r, x))))
            r := or(r, shl(1, lt(0x3, shr(r, x))))
            r := or(r, lt(0x1, shr(r, x)))
        }

        // Reduce range of x to (1, 2) * 2**96
        // ln(2^k * x) = k * ln(2) + ln(x)
        int256 k = r - 96;
        x <<= uint256(159 - k);
        x = int256(uint256(x) >> 159);

        // Evaluate using a (8, 8)-term rational approximation.
        // p is made monic, we will multiply by a scale factor later.
        int256 p = x + 3273285459638523848632254066296;
        p = ((p * x) >> 96) + 24828157081833163892658089445524;
        p = ((p * x) >> 96) + 43456485725739037958740375743393;
        p = ((p * x) >> 96) - 11111509109440967052023855526967;
        p = ((p * x) >> 96) - 45023709667254063763336534515857;
        p = ((p * x) >> 96) - 14706773417378608786704636184526;
        p = p * x - (795164235651350426258249787498 << 96);

        // We leave p in 2**192 basis so we don't need to scale it back up for the division.
        // q is monic by convention.
        int256 q = x + 5573035233440673466300451813936;
        q = ((q * x) >> 96) + 71694874799317883764090561454958;
        q = ((q * x) >> 96) + 283447036172924575727196451306956;
        q = ((q * x) >> 96) + 401686690394027663651624208769553;
        q = ((q * x) >> 96) + 204048457590392012362485061816622;
        q = ((q * x) >> 96) + 31853899698501571402653359427138;
        q = ((q * x) >> 96) + 909429971244387300277376558375;
        /// @solidity memory-safe-assembly
        assembly {
            // Div in assembly because solidity adds a zero check despite the unchecked.
            // The q polynomial is known not to have zeros in the domain.
            // No scaling required because p is already 2**96 too large.
            r := sdiv(p, q)
        }

        // r is in the range (0, 0.125) * 2**96

        // Finalization, we need to:
        // * multiply by the scale factor s = 5.549…
        // * add ln(2**96 / 10**18)
        // * add k * ln(2)
        // * multiply by 10**18 / 2**96 = 5**18 >> 78

        // mul s * 5e18 * 2**96, base is now 5**18 * 2**192
        r *= 1677202110996718588342820967067443963516166;
        // add ln(2) * k * 5e18 * 2**192
        r += 16597577552685614221487285958193947469193820559219878177908093499208371 * k;
        // add ln(2**96 / 10**18) * 5e18 * 2**192
        r += 600920179829731861736702779321621459595472258049074101567377883020018308;
        // base conversion: mul 2**18 / 2**192
        r >>= 174;
    }
}

/// @dev Will return 0 instead of reverting if y is zero.
function unsafeDiv(int256 x, int256 y) pure returns (int256 r) {
    /// @solidity memory-safe-assembly
    assembly {
        // Divide x by y.
        r := sdiv(x, y)
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (interfaces/draft-IERC1822.sol)

pragma solidity ^0.8.0;

/**
 * @dev ERC1822: Universal Upgradeable Proxy Standard (UUPS) documents a method for upgradeability through a simplified
 * proxy whose upgrades are fully controlled by the current implementation.
 */
interface IERC1822ProxiableUpgradeable {
    /**
     * @dev Returns the storage slot that the proxiable contract assumes is being used to store the implementation
     * address.
     *
     * IMPORTANT: A proxy pointing at a proxiable contract should not be considered proxiable itself, because this risks
     * bricking a proxy that upgrades to it, by delegating to itself until out of gas. Thus it is critical that this
     * function revert if invoked through a proxy.
     */
    function proxiableUUID() external view returns (bytes32);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (proxy/ERC1967/ERC1967Upgrade.sol)

pragma solidity ^0.8.2;

import "../beacon/IBeaconUpgradeable.sol";
import "../../interfaces/IERC1967Upgradeable.sol";
import "../../interfaces/draft-IERC1822Upgradeable.sol";
import "../../utils/AddressUpgradeable.sol";
import "../../utils/StorageSlotUpgradeable.sol";
import "../utils/Initializable.sol";

/**
 * @dev This abstract contract provides getters and event emitting update functions for
 * https://eips.ethereum.org/EIPS/eip-1967[EIP1967] slots.
 *
 * _Available since v4.1._
 */
abstract contract ERC1967UpgradeUpgradeable is Initializable, IERC1967Upgradeable {
    function __ERC1967Upgrade_init() internal onlyInitializing {
    }

    function __ERC1967Upgrade_init_unchained() internal onlyInitializing {
    }
    // This is the keccak-256 hash of "eip1967.proxy.rollback" subtracted by 1
    bytes32 private constant _ROLLBACK_SLOT = 0x4910fdfa16fed3260ed0e7147f7cc6da11a60208b5b9406d12a635614ffd9143;

    /**
     * @dev Storage slot with the address of the current implementation.
     * This is the keccak-256 hash of "eip1967.proxy.implementation" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 internal constant _IMPLEMENTATION_SLOT = 0x360894a13ba1a3210667c828492db98dca3e2076cc3735a920a3ca505d382bbc;

    /**
     * @dev Returns the current implementation address.
     */
    function _getImplementation() internal view returns (address) {
        return StorageSlotUpgradeable.getAddressSlot(_IMPLEMENTATION_SLOT).value;
    }

    /**
     * @dev Stores a new address in the EIP1967 implementation slot.
     */
    function _setImplementation(address newImplementation) private {
        require(AddressUpgradeable.isContract(newImplementation), "ERC1967: new implementation is not a contract");
        StorageSlotUpgradeable.getAddressSlot(_IMPLEMENTATION_SLOT).value = newImplementation;
    }

    /**
     * @dev Perform implementation upgrade
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeTo(address newImplementation) internal {
        _setImplementation(newImplementation);
        emit Upgraded(newImplementation);
    }

    /**
     * @dev Perform implementation upgrade with additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCall(address newImplementation, bytes memory data, bool forceCall) internal {
        _upgradeTo(newImplementation);
        if (data.length > 0 || forceCall) {
            AddressUpgradeable.functionDelegateCall(newImplementation, data);
        }
    }

    /**
     * @dev Perform implementation upgrade with security checks for UUPS proxies, and additional setup call.
     *
     * Emits an {Upgraded} event.
     */
    function _upgradeToAndCallUUPS(address newImplementation, bytes memory data, bool forceCall) internal {
        // Upgrades from old implementations will perform a rollback test. This test requires the new
        // implementation to upgrade back to the old, non-ERC1822 compliant, implementation. Removing
        // this special case will break upgrade paths from old UUPS implementation to new ones.
        if (StorageSlotUpgradeable.getBooleanSlot(_ROLLBACK_SLOT).value) {
            _setImplementation(newImplementation);
        } else {
            try IERC1822ProxiableUpgradeable(newImplementation).proxiableUUID() returns (bytes32 slot) {
                require(slot == _IMPLEMENTATION_SLOT, "ERC1967Upgrade: unsupported proxiableUUID");
            } catch {
                revert("ERC1967Upgrade: new implementation is not UUPS");
            }
            _upgradeToAndCall(newImplementation, data, forceCall);
        }
    }

    /**
     * @dev Storage slot with the admin of the contract.
     * This is the keccak-256 hash of "eip1967.proxy.admin" subtracted by 1, and is
     * validated in the constructor.
     */
    bytes32 internal constant _ADMIN_SLOT = 0xb53127684a568b3173ae13b9f8a6016e243e63b6e8ee1178d6a717850b5d6103;

    /**
     * @dev Returns the current admin.
     */
    function _getAdmin() internal view returns (address) {
        return StorageSlotUpgradeable.getAddressSlot(_ADMIN_SLOT).value;
    }

    /**
     * @dev Stores a new address in the EIP1967 admin slot.
     */
    function _setAdmin(address newAdmin) private {
        require(newAdmin != address(0), "ERC1967: new admin is the zero address");
        StorageSlotUpgradeable.getAddressSlot(_ADMIN_SLOT).value = newAdmin;
    }

    /**
     * @dev Changes the admin of the proxy.
     *
     * Emits an {AdminChanged} event.
     */
    function _changeAdmin(address newAdmin) internal {
        emit AdminChanged(_getAdmin(), newAdmin);
        _setAdmin(newAdmin);
    }

    /**
     * @dev The storage slot of the UpgradeableBeacon contract which defines the implementation for this proxy.
     * This is bytes32(uint256(keccak256('eip1967.proxy.beacon')) - 1)) and is validated in the constructor.
     */
    bytes32 internal constant _BEACON_SLOT = 0xa3f0ad74e5423aebfd80d3ef4346578335a9a72aeaee59ff6cb3582b35133d50;

    /**
     * @dev Returns the current beacon.
     */
    function _getBeacon() internal view returns (address) {
        return StorageSlotUpgradeable.getAddressSlot(_BEACON_SLOT).value;
    }

    /**
     * @dev Stores a new beacon in the EIP1967 beacon slot.
     */
    function _setBeacon(address newBeacon) private {
        require(AddressUpgradeable.isContract(newBeacon), "ERC1967: new beacon is not a contract");
        require(
            AddressUpgradeable.isContract(IBeaconUpgradeable(newBeacon).implementation()),
            "ERC1967: beacon implementation is not a contract"
        );
        StorageSlotUpgradeable.getAddressSlot(_BEACON_SLOT).value = newBeacon;
    }

    /**
     * @dev Perform beacon upgrade with additional setup call. Note: This upgrades the address of the beacon, it does
     * not upgrade the implementation contained in the beacon (see {UpgradeableBeacon-_setImplementation} for that).
     *
     * Emits a {BeaconUpgraded} event.
     */
    function _upgradeBeaconToAndCall(address newBeacon, bytes memory data, bool forceCall) internal {
        _setBeacon(newBeacon);
        emit BeaconUpgraded(newBeacon);
        if (data.length > 0 || forceCall) {
            AddressUpgradeable.functionDelegateCall(IBeaconUpgradeable(newBeacon).implementation(), data);
        }
    }

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

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

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: AGPL-3.0-or-later

pragma solidity ^0.8.8;

import {IDAO} from "../../dao/IDAO.sol";

/// @title DAO Authorization Utilities
/// @author Aragon X - 2022-2024
/// @notice Provides utility functions for verifying if a caller has specific permissions in an associated DAO.
/// @custom:security-contact [email protected]

/// @notice Thrown if a call is unauthorized in the associated DAO.
/// @param dao The associated DAO.
/// @param where The context in which the authorization reverted.
/// @param who The address (EOA or contract) missing the permission.
/// @param permissionId The permission identifier.
error DaoUnauthorized(address dao, address where, address who, bytes32 permissionId);

/// @notice A free function checking if a caller is granted permissions on a target contract via a permission identifier that redirects the approval to a `PermissionCondition` if this was specified in the setup.
/// @param _where The address of the target contract for which `who` receives permission.
/// @param _who The address (EOA or contract) owning the permission.
/// @param _permissionId The permission identifier.
/// @param _data The optional data passed to the `PermissionCondition` registered.
function _auth(
    IDAO _dao,
    address _where,
    address _who,
    bytes32 _permissionId,
    bytes calldata _data
) view {
    if (!_dao.hasPermission(_where, _who, _permissionId, _data))
        revert DaoUnauthorized({
            dao: address(_dao),
            where: _where,
            who: _who,
            permissionId: _permissionId
        });
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (governance/utils/IVotes.sol)
pragma solidity ^0.8.0;

/**
 * @dev Common interface for {ERC20Votes}, {ERC721Votes}, and other {Votes}-enabled contracts.
 *
 * _Available since v4.5._
 */
interface IVotesUpgradeable {
    /**
     * @dev Emitted when an account changes their delegate.
     */
    event DelegateChanged(address indexed delegator, address indexed fromDelegate, address indexed toDelegate);

    /**
     * @dev Emitted when a token transfer or delegate change results in changes to a delegate's number of votes.
     */
    event DelegateVotesChanged(address indexed delegate, uint256 previousBalance, uint256 newBalance);

    /**
     * @dev Returns the current amount of votes that `account` has.
     */
    function getVotes(address account) external view returns (uint256);

    /**
     * @dev Returns the amount of votes that `account` had at a specific moment in the past. If the `clock()` is
     * configured to use block numbers, this will return the value at the end of the corresponding block.
     */
    function getPastVotes(address account, uint256 timepoint) external view returns (uint256);

    /**
     * @dev Returns the total supply of votes available at a specific moment in the past. If the `clock()` is
     * configured to use block numbers, this will return the value at the end of the corresponding block.
     *
     * NOTE: This value is the sum of all available votes, which is not necessarily the sum of all delegated votes.
     * Votes that have not been delegated are still part of total supply, even though they would not participate in a
     * vote.
     */
    function getPastTotalSupply(uint256 timepoint) external view returns (uint256);

    /**
     * @dev Returns the delegate that `account` has chosen.
     */
    function delegates(address account) external view returns (address);

    /**
     * @dev Delegates votes from the sender to `delegatee`.
     */
    function delegate(address delegatee) external;

    /**
     * @dev Delegates votes from signer to `delegatee`.
     */
    function delegateBySig(address delegatee, uint256 nonce, uint256 expiry, uint8 v, bytes32 r, bytes32 s) external;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (proxy/beacon/IBeacon.sol)

pragma solidity ^0.8.0;

/**
 * @dev This is the interface that {BeaconProxy} expects of its beacon.
 */
interface IBeaconUpgradeable {
    /**
     * @dev Must return an address that can be used as a delegate call target.
     *
     * {BeaconProxy} will check that this address is a contract.
     */
    function implementation() external view returns (address);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (interfaces/IERC1967.sol)

pragma solidity ^0.8.0;

/**
 * @dev ERC-1967: Proxy Storage Slots. This interface contains the events defined in the ERC.
 *
 * _Available since v4.8.3._
 */
interface IERC1967Upgradeable {
    /**
     * @dev Emitted when the implementation is upgraded.
     */
    event Upgraded(address indexed implementation);

    /**
     * @dev Emitted when the admin account has changed.
     */
    event AdminChanged(address previousAdmin, address newAdmin);

    /**
     * @dev Emitted when the beacon is changed.
     */
    event BeaconUpgraded(address indexed beacon);
}

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

pragma solidity ^0.8.1;

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

        return account.code.length > 0;
    }

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

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

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

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

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

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

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

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

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

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

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

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

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

// 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 StorageSlotUpgradeable {
    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
        }
    }
}

{
  "remappings": [
    "@clock/=lib/ve-governance/src/clock/",
    "@curve/=lib/ve-governance/src/curve/",
    "@delegation/=lib/ve-governance/src/delegation/",
    "@escrow-interfaces/=lib/ve-governance/src/escrow/increasing/interfaces/",
    "@escrow/=lib/ve-governance/src/escrow/",
    "@factory/=lib/ve-governance/src/factory/",
    "@foundry-upgrades/=lib/ve-governance/lib/openzeppelin-foundry-upgrades/src/",
    "@helpers/=lib/ve-governance/test/helpers/",
    "@interfaces/=lib/ve-governance/src/interfaces/",
    "@libs/=lib/ve-governance/src/libs/",
    "@lock/=lib/ve-governance/src/lock/",
    "@mocks/=lib/ve-governance/test/mocks/",
    "@openzeppelin/contracts-upgradeable/=lib/ve-governance/lib/openzeppelin-contracts-upgradeable/contracts/",
    "@openzeppelin/contracts/=lib/ve-governance/lib/openzeppelin-contracts/contracts/",
    "@queue/=lib/ve-governance/src/queue/",
    "@setup/=lib/ve-governance/src/setup/",
    "@solmate/=lib/ve-governance/lib/solmate/src/",
    "@utils/=lib/ve-governance/src/utils/",
    "@voting/=lib/ve-governance/src/voting/",
    "@ve/=lib/ve-governance/src/",
    "@aragon/protocol-factory/=lib/protocol-factory/",
    "@openzeppelin/openzeppelin-foundry-upgrades/=lib/staged-proposal-processor-plugin/node_modules/@openzeppelin/openzeppelin-foundry-upgrades/src/",
    "@ensdomains/buffer/=lib/protocol-factory/lib/buffer/",
    "@ensdomains/ens-contracts/=lib/protocol-factory/lib/ens-contracts/",
    "@merkl/=lib/merkl/contracts/",
    "@aragon/osx-commons-contracts/=lib/osx-commons/contracts/",
    "@aragon/osx/=lib/ve-governance/lib/osx/packages/contracts/src/",
    "@aragon/multisig-plugin/=lib/protocol-factory/lib/multisig-plugin/packages/contracts/src/",
    "@aragon/admin-plugin/=lib/protocol-factory/lib/admin-plugin/packages/contracts/src/",
    "@aragon/admin/=lib/ve-governance/lib/osx/packages/contracts/src/plugins/governance/admin/",
    "@aragon/multisig/=lib/ve-governance/lib/multisig-plugin/packages/contracts/",
    "@aragon/staged-proposal-processor-plugin/=lib/protocol-factory/lib/staged-proposal-processor-plugin/src/",
    "@aragon/token-voting-plugin/=lib/protocol-factory/lib/token-voting-plugin/src/",
    "@test/=lib/ve-governance/test/",
    "admin-plugin/=lib/protocol-factory/lib/admin-plugin/",
    "buffer/=lib/protocol-factory/lib/buffer/contracts/",
    "ds-test/=lib/ve-governance/lib/ds-test/src/",
    "ens-contracts/=lib/ve-governance/lib/ens-contracts/contracts/",
    "erc4626-tests/=lib/erc4626-tests/",
    "forge-std/=lib/forge-std/src/",
    "halmos-cheatcodes/=lib/openzeppelin-contracts-upgradeable/lib/halmos-cheatcodes/src/",
    "merkl/=lib/merkl/",
    "multisig-plugin/=lib/ve-governance/lib/multisig-plugin/",
    "openzeppelin-contracts-upgradeable/=lib/openzeppelin-contracts-upgradeable/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/",
    "openzeppelin-foundry-upgrades/=lib/ve-governance/lib/openzeppelin-foundry-upgrades/src/",
    "openzeppelin/=lib/ve-governance/lib/openzeppelin-contracts-upgradeable/contracts/",
    "osx-commons/=lib/osx-commons/",
    "osx/=lib/osx/",
    "oz/=lib/merkl/node_modules/@openzeppelin/contracts/",
    "plugin-version-1.3/=lib/protocol-factory/lib/token-voting-plugin/lib/plugin-version-1.3/",
    "protocol-factory/=lib/protocol-factory/",
    "solidity-stringutils/=lib/protocol-factory/lib/staged-proposal-processor-plugin/node_modules/solidity-stringutils/",
    "solmate/=lib/ve-governance/lib/solmate/src/",
    "staged-proposal-processor-plugin/=lib/protocol-factory/lib/staged-proposal-processor-plugin/src/",
    "token-voting-plugin/=lib/protocol-factory/lib/token-voting-plugin/",
    "utils/=lib/ve-governance/test/utils/",
    "ve-governance/=lib/ve-governance/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 2000
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "none",
    "appendCBOR": false
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "evmVersion": "cancun",
  "viaIR": false
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[{"internalType":"int256[3]","name":"_coefficients","type":"int256[3]"},{"internalType":"uint256","name":"_maxEpochs","type":"uint256"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[],"name":"CheckpointOnDepositIntervalNotAllowed","type":"error"},{"inputs":[{"internalType":"address","name":"dao","type":"address"},{"internalType":"address","name":"where","type":"address"},{"internalType":"address","name":"who","type":"address"},{"internalType":"bytes32","name":"permissionId","type":"bytes32"}],"name":"DaoUnauthorized","type":"error"},{"inputs":[],"name":"Deprecated","type":"error"},{"inputs":[],"name":"InvalidCheckpoint","type":"error"},{"inputs":[{"internalType":"uint256","name":"tokenId","type":"uint256"},{"components":[{"internalType":"uint208","name":"amount","type":"uint208"},{"internalType":"uint48","name":"start","type":"uint48"}],"internalType":"struct ILockedBalanceIncreasing.LockedBalance","name":"fromLocked","type":"tuple"},{"components":[{"internalType":"uint208","name":"amount","type":"uint208"},{"internalType":"uint48","name":"start","type":"uint48"}],"internalType":"struct ILockedBalanceIncreasing.LockedBalance","name":"newLocked","type":"tuple"}],"name":"InvalidLocks","type":"error"},{"inputs":[],"name":"InvalidTokenId","type":"error"},{"inputs":[],"name":"OnlyEscrow","type":"error"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"address","name":"previousAdmin","type":"address"},{"indexed":false,"internalType":"address","name":"newAdmin","type":"address"}],"name":"AdminChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"beacon","type":"address"}],"name":"BeaconUpgraded","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint8","name":"version","type":"uint8"}],"name":"Initialized","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"implementation","type":"address"}],"name":"Upgraded","type":"event"},{"inputs":[],"name":"CURVE_ADMIN_ROLE","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_timeElapsed","type":"uint256"},{"internalType":"uint256","name":"_amount","type":"uint256"}],"name":"_getBiasAndSlope","outputs":[{"internalType":"int256","name":"","type":"int256"},{"internalType":"int256","name":"","type":"int256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_tokenId","type":"uint256"},{"components":[{"internalType":"uint208","name":"amount","type":"uint208"},{"internalType":"uint48","name":"start","type":"uint48"}],"internalType":"struct ILockedBalanceIncreasing.LockedBalance","name":"_oldLocked","type":"tuple"},{"components":[{"internalType":"uint208","name":"amount","type":"uint208"},{"internalType":"uint48","name":"start","type":"uint48"}],"internalType":"struct ILockedBalanceIncreasing.LockedBalance","name":"_newLocked","type":"tuple"}],"name":"checkpoint","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"clock","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"dao","outputs":[{"internalType":"contract IDAO","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"escrow","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"timeElapsed","type":"uint256"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"getBias","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"getCoefficients","outputs":[{"internalType":"int256[3]","name":"","type":"int256[3]"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_index","type":"uint256"}],"name":"globalPointHistory","outputs":[{"components":[{"internalType":"int256","name":"bias","type":"int256"},{"internalType":"int256","name":"slope","type":"int256"},{"internalType":"uint48","name":"writtenTs","type":"uint48"}],"internalType":"struct IEscrowCurveGlobalStorage.GlobalPoint","name":"","type":"tuple"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"globalPointLatestIndex","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"implementation","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"_escrow","type":"address"},{"internalType":"address","name":"_dao","type":"address"},{"internalType":"address","name":"_clock","type":"address"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"}],"name":"isWarm","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"},{"internalType":"uint48","name":"","type":"uint48"}],"name":"isWarm","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"maxTime","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"previewMaxBias","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"proxiableUUID","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint48","name":"","type":"uint48"}],"name":"setWarmupPeriod","outputs":[],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"}],"name":"slopeChanges","outputs":[{"internalType":"int256","name":"","type":"int256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_timestamp","type":"uint256"}],"name":"supplyAt","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_tokenId","type":"uint256"},{"internalType":"uint256","name":"_index","type":"uint256"}],"name":"tokenPointHistory","outputs":[{"components":[{"internalType":"uint256","name":"bias","type":"uint256"},{"internalType":"uint128","name":"checkpointTs","type":"uint128"},{"internalType":"uint128","name":"writtenTs","type":"uint128"},{"internalType":"int256[3]","name":"coefficients","type":"int256[3]"}],"internalType":"struct IEscrowCurveTokenStorage.TokenPoint","name":"point","type":"tuple"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"_tokenId","type":"uint256"}],"name":"tokenPointIntervals","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"}],"name":"tokenPointLatestIndex","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"newImplementation","type":"address"}],"name":"upgradeTo","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newImplementation","type":"address"},{"internalType":"bytes","name":"data","type":"bytes"}],"name":"upgradeToAndCall","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"internalType":"uint256","name":"_tokenId","type":"uint256"},{"internalType":"uint256","name":"_t","type":"uint256"}],"name":"votingPowerAt","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"warmupPeriod","outputs":[{"internalType":"uint48","name":"","type":"uint48"}],"stateMutability":"view","type":"function"}]

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-----Decoded View---------------
Arg [0] : _coefficients (int256[3]): 1000000000000000000,0,0
Arg [1] : _maxEpochs (uint256): 0

-----Encoded View---------------
4 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000de0b6b3a7640000
Arg [1] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [2] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [3] : 0000000000000000000000000000000000000000000000000000000000000000