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// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

import {IERC721EnumerableUpgradeable, ERC721EnumerableUpgradeable, IERC165Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC721/extensions/ERC721EnumerableUpgradeable.sol";
import {EIP712Upgradeable} from "@openzeppelin/contracts-upgradeable/utils/cryptography/EIP712Upgradeable.sol";
import {ECDSA} from "@openzeppelin/contracts/utils/cryptography/ECDSA.sol";
import {ReentrancyGuard} from "@openzeppelin/contracts/security/ReentrancyGuard.sol";

import {SafeERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/utils/SafeERC20Upgradeable.sol";
import {IERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";
import {ERC5725Upgradeable} from "./erc5725/ERC5725Upgradeable.sol";
import {Initializable} from "@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol";

import {IVotingEscrowV2Upgradeable, IVotes} from "./interfaces/IVotingEscrowV2Upgradeable.sol";
import {IVeArtProxy} from "../../interfaces/IVeArtProxy.sol";
import {SafeCastLibrary} from "./libraries/SafeCastLibrary.sol";
import {EscrowDelegateCheckpoints, Checkpoints} from "./libraries/EscrowDelegateCheckpoints.sol";
import {EscrowDelegateStorage} from "./libraries/EscrowDelegateStorage.sol";

/**
 * @title VotingEscrow
 * @dev This contract is used for locking tokens and voting.
 *
 * - tokenIds always have a delegatee, with the owner being the default (see createLock)
 * - On transfers, delegation is reset. (See _update)
 * -
 */
contract VotingEscrowV2Upgradeable is 
    Initializable, 
    IVotingEscrowV2Upgradeable, 
    ERC5725Upgradeable, 
    EscrowDelegateStorage, 
    EIP712Upgradeable, 
    ReentrancyGuard
{
    using SafeERC20Upgradeable for IERC20Upgradeable;
    using SafeCastLibrary for uint256;
    using EscrowDelegateCheckpoints for EscrowDelegateCheckpoints.EscrowDelegateStore;

    enum DepositType {
        DEPOSIT_FOR_TYPE,
        CREATE_LOCK_TYPE,
        INCREASE_LOCK_AMOUNT,
        INCREASE_UNLOCK_TIME,
        MERGE_TYPE,
        SPLIT_TYPE
    }

    /// @notice The token being locked
    IERC20Upgradeable public _token;
    /// @notice Total locked supply
    uint256 public supply;
    uint8 public constant decimals = 18;
    address public artProxy;

    /// @notice The EIP-712 typehash for the delegation struct used by the contract
    bytes32 public constant DELEGATION_TYPEHASH =
        keccak256("Delegation(address delegatee,uint256 nonce,uint256 expiry)");
    /// @notice A record of states for signing / validating signatures
    mapping(address => uint256) public nonces;

    /// @dev OpenZeppelin v5 IVotes error
    error VotesExpiredSignature(uint256 expiry);

    /**
     * @notice The constructor is disabled for this upgradeable contract.
     */
    constructor() {
        /// @dev Disable the initializers for implementation contracts to ensure that the contract is not left uninitialized.
        _disableInitializers();
    }

    /**
     * @dev Initializes the contract with the given parameters.
     * @param _name The name to set for the token.
     * @param _symbol The symbol to set for the token.
     * @param version The version of the contract.
     * @param mainToken The main token address that will be locked in the escrow.
     * @param _artProxy The address of the art proxy contract.
     */
    function initialize(
        string memory _name,
        string memory _symbol,
        string memory version,
        IERC20Upgradeable mainToken,
        address _artProxy
    ) public initializer {
        __ERC5725_init(_name, _symbol);
        __EIP712_init(_name, version);
        _token = mainToken;
        artProxy = _artProxy;
        // Reset MAX_TIME in proxy storage
        MAX_TIME = uint256(uint128(EscrowDelegateCheckpoints.MAX_TIME));
    }

    modifier checkAuthorized(uint256 _tokenId) {
        address owner = _ownerOf(_tokenId);
        if (owner == address(0)) {
            revert ERC721NonexistentToken(_tokenId);
        }
        address sender = _msgSender();
        if (!_isAuthorized(owner, sender, _tokenId)) {
            revert ERC721InsufficientApproval(sender, _tokenId);
        }
        _;
    }

    /// @dev Returns current token URI metadata
    /// @param _tokenId Token ID to fetch URI for.
    function tokenURI(uint _tokenId) public view override validToken(_tokenId) returns (string memory) {
        LockDetails memory _locked = _lockDetails[_tokenId];
        return
            IVeArtProxy(artProxy)._tokenURI(
                _tokenId,
                balanceOfNFT(_tokenId),
                _locked.endTime,
                uint(int256(_locked.amount))
            );
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(
        bytes4 interfaceId
    ) public view virtual override(ERC5725Upgradeable, IERC165Upgradeable) returns (bool supported) {
        return interfaceId == type(IVotingEscrowV2Upgradeable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-_beforeTokenTransfer}.
     * Clears the approval of a given `tokenId` when the token is transferred or burned.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual override {
        super._beforeTokenTransfer(from, to, firstTokenId, batchSize);
        for (uint256 i = 0; i < batchSize; i++) {
            uint256 tokenId = firstTokenId + i;
            if (from != to) {
                /// @dev Sets delegatee to new owner on transfers
                (address oldDelegatee, address newDelegatee) = edStore.delegate(
                    tokenId,
                    to,
                    _lockDetails[tokenId].endTime
                );
                emit DelegateChanged(to, oldDelegatee, newDelegatee);
                emit LockDelegateChanged(tokenId, to, oldDelegatee, newDelegatee);
            }
        }
    }

    /**
     * ERC-5725 and token-locking logic
     */

    /// @notice maps the vesting data with tokenIds
    mapping(uint256 => LockDetails) public _lockDetails;

    /// @notice tracker of current NFT id
    uint256 public totalNftsMinted = 0;

    /**
     * @notice Creates a new vesting NFT and mints it
     * @dev Token amount should be approved to be transferred by this contract before executing create
     * @param value The total assets to be locked over time
     * @param duration Duration in seconds of the lock
     * @param to The receiver of the lock
     */
    function _createLock(
        uint256 value,
        uint256 duration,
        address to,
        address delegatee,
        bool permanent,
        DepositType depositType
    ) internal virtual returns (uint256) {
        if (value == 0) revert ZeroAmount();
        uint256 unlockTime;
        totalNftsMinted++;
        uint256 newTokenId = totalNftsMinted;
        if (!permanent) {
            unlockTime = toGlobalClock(block.timestamp + duration); // Locktime is rounded down to global clock (days)
            if (unlockTime <= block.timestamp) revert LockDurationNotInFuture();
            if (unlockTime > block.timestamp + MAX_TIME) revert LockDurationTooLong();
        }

        _safeMint(to, newTokenId);
        _lockDetails[newTokenId].startTime = block.timestamp;
        /// @dev Checkpoint created in _updateLock
        _updateLock(newTokenId, value, unlockTime, _lockDetails[newTokenId], permanent, depositType);
        edStore.delegate(newTokenId, delegatee, unlockTime);
        emit LockCreated(newTokenId, delegatee, value, unlockTime, permanent);
        emit DelegateChanged(to, address(0), delegatee);
        emit LockDelegateChanged(newTokenId, to, address(0), delegatee);
        return newTokenId;
    }

    /**
     * @notice Creates a lock for the sender
     * @param _value The total assets to be locked over time
     * @param _lockDuration Duration in seconds of the lock
     * @param _permanent Whether the lock is permanent or not
     * @return The id of the newly created token
     */
    function createLock(
        uint256 _value,
        uint256 _lockDuration,
        bool _permanent
    ) external nonReentrant returns (uint256) {
        return _createLock(_value, _lockDuration, _msgSender(), _msgSender(), _permanent, DepositType.CREATE_LOCK_TYPE);
    }

    /**
     * @notice Creates a lock for a specified address
     * @param _value The total assets to be locked over time
     * @param _lockDuration Duration in seconds of the lock
     * @param _to The receiver of the lock
     * @param _permanent Whether the lock is permanent or not
     * @return The id of the newly created token
     */
    function createLockFor(
        uint256 _value,
        uint256 _lockDuration,
        address _to,
        bool _permanent
    ) external nonReentrant returns (uint256) {
        return _createLock(_value, _lockDuration, _to, _to, _permanent, DepositType.CREATE_LOCK_TYPE);
    }

    /**
     * @notice Creates a lock for a specified address
     * @param _value The total assets to be locked over time
     * @param _lockDuration Duration in seconds of the lock
     * @param _to The receiver of the lock
     * @param _delegatee The receiver of the lock
     * @param _permanent Whether the lock is permanent or not
     * @return The id of the newly created token
     */
    function createDelegatedLockFor(
        uint256 _value,
        uint256 _lockDuration,
        address _to,
        address _delegatee,
        bool _permanent
    ) external nonReentrant returns (uint256) {
        return _createLock(_value, _lockDuration, _to, _delegatee, _permanent, DepositType.CREATE_LOCK_TYPE);
    }

    /**
     * @notice Updates the global checkpoint
     */
    function globalCheckpoint() public nonReentrant {
        return edStore.globalCheckpoint();
    }

    function checkpoint() external override {
        globalCheckpoint();
    }

    /**
     * @notice Updates the checkpoint for a delegatee
     * @param _delegateeAddress The address of the delegatee
     */
    function checkpointDelegatee(address _delegateeAddress) external nonReentrant {
        edStore.baseCheckpointDelegatee(_delegateeAddress);
    }

    /// @notice Deposit & update lock tokens for a user
    /// @dev The supply is increased by the _value amount
    /// @param _tokenId NFT that holds lock
    /// @param _increasedValue Amount to deposit
    /// @param _unlockTime New time when to unlock the tokens, or 0 if unchanged
    /// @param _oldLocked Previous locked amount / timestamp
    function _updateLock(
        uint256 _tokenId,
        uint256 _increasedValue,
        uint256 _unlockTime,
        LockDetails memory _oldLocked,
        bool isPermanent,
        DepositType depositType
    ) internal {
        uint256 supplyBefore = supply;
        supply += _increasedValue;

        // Set newLocked to _oldLocked without mangling memory
        LockDetails memory newLocked;
        (newLocked.amount, newLocked.startTime, newLocked.endTime, newLocked.isPermanent) = (
            _oldLocked.amount,
            _oldLocked.startTime,
            _oldLocked.endTime,
            _oldLocked.isPermanent
        );

        // Adding to existing lock, or if a lock is expired - creating a new one
        newLocked.amount += _increasedValue;
        if (_unlockTime != 0 && !isPermanent) {
            newLocked.endTime = _unlockTime;
        }
        if (isPermanent) {
            newLocked.endTime = 0;
            newLocked.isPermanent = true;
        }
        _lockDetails[_tokenId] = newLocked;
        emit LockUpdated(_tokenId, _increasedValue, _unlockTime, isPermanent);

        // Possibilities:
        // Both _oldLocked.end could be current or expired (>/< block.timestamp)
        // or if the lock is a permanent lock, then _oldLocked.end == 0
        // value == 0 (extend lock) or value > 0 (add to lock or extend lock)
        // newLocked.end > block.timestamp (always)
        _checkpointLock(_tokenId, _oldLocked, newLocked);

        if (_increasedValue != 0 && depositType != DepositType.SPLIT_TYPE) {
            _token.safeTransferFrom(_msgSender(), address(this), _increasedValue);
        }

        emit SupplyUpdated(supply, supplyBefore + _increasedValue);
    }

    /// @notice Record global and per-user data to checkpoints. Used by VotingEscrow system.
    /// @param _tokenId NFT token ID. No user checkpoint if 0
    /// @param _oldLocked Previous locked amount / end lock time for the user
    /// @param _newLocked New locked amount / end lock time for the user
    function _checkpointLock(
        uint256 _tokenId,
        IVotingEscrowV2Upgradeable.LockDetails memory _oldLocked,
        IVotingEscrowV2Upgradeable.LockDetails memory _newLocked
    ) internal {
        edStore.checkpoint(
            _tokenId,
            _oldLocked.amount.toInt128(),
            _newLocked.amount.toInt128(),
            _oldLocked.endTime,
            _newLocked.endTime
        );
    }

    /// @notice Deposit `_value` tokens for `_tokenId` and add to the lock
    /// @dev Anyone (even a smart contract) can deposit for someone else, but
    ///      cannot extend their locktime and deposit for a brand new user
    /// @param _tokenId lock NFT
    /// @param _value Amount to add to user's lock
    function increaseAmount(uint256 _tokenId, uint256 _value) external nonReentrant {
        if (_value == 0) revert ZeroAmount();

        IVotingEscrowV2Upgradeable.LockDetails memory oldLocked = _lockDetails[_tokenId];
        if (_ownerOf(_tokenId) == address(0)) revert NoLockFound();
        if (oldLocked.endTime <= block.timestamp && !oldLocked.isPermanent) revert LockExpired();

        _updateLock(_tokenId, _value, 0, oldLocked, oldLocked.isPermanent, DepositType.INCREASE_LOCK_AMOUNT);
    }

    /**
     * @notice Increases the unlock time of a lock
     * @param _tokenId The id of the token to increase the unlock time for
     * @param _lockDuration The new duration of the lock
     * @param _permanent Whether the lock is permanent or not
     */
    function increaseUnlockTime(
        uint256 _tokenId,
        uint256 _lockDuration,
        bool _permanent
    ) external nonReentrant checkAuthorized(_tokenId) {
        LockDetails memory oldLocked = _lockDetails[_tokenId];
        if (oldLocked.isPermanent) revert PermanentLock();

        uint256 unlockTime;
        if (!_permanent) {
            unlockTime = toGlobalClock(block.timestamp + _lockDuration);
            // Locktime is rounded down to global clock (days)
            if (oldLocked.endTime <= block.timestamp) revert LockExpired();
            if (unlockTime <= oldLocked.endTime) revert LockDurationNotInFuture();
            if (unlockTime > block.timestamp + MAX_TIME) revert LockDurationTooLong();
        }

        _updateLock(_tokenId, 0, unlockTime, oldLocked, _permanent, DepositType.INCREASE_UNLOCK_TIME);
        emit LockDurationExtended(_tokenId, unlockTime, _permanent);
    }

    /**
     * @notice Unlocks a permanent lock
     * @param _tokenId The id of the token to unlock
     */
    function unlockPermanent(uint256 _tokenId) external nonReentrant checkAuthorized(_tokenId) {
        LockDetails memory newLocked = _lockDetails[_tokenId];
        if (!newLocked.isPermanent) revert NotPermanentLock();

        // Set the end time to the maximum possible time
        newLocked.endTime = toGlobalClock(block.timestamp + MAX_TIME);
        // Set the lock to not be permanent
        newLocked.isPermanent = false;

        // Update the lock details
        _checkpointLock(_tokenId, _lockDetails[_tokenId], newLocked);
        _lockDetails[_tokenId] = newLocked;

        emit UnlockPermanent(_tokenId, _msgSender(), newLocked.endTime);
    }

    /**
     * @notice Claims the payout for a token
     * @param _tokenId The id of the token to claim the payout for
     */
    function _claim(uint256 _tokenId) internal validToken(_tokenId) nonReentrant checkAuthorized(_tokenId) {
        IVotingEscrowV2Upgradeable.LockDetails memory oldLocked = _lockDetails[_tokenId];
        if (oldLocked.isPermanent) revert PermanentLock();

        uint256 amountClaimed = claimablePayout(_tokenId);
        if (amountClaimed == 0) revert LockNotExpired();

        // Reset the lock details
        _lockDetails[_tokenId] = IVotingEscrowV2Upgradeable.LockDetails(0, 0, 0, false);
        // Update the total supply
        uint256 supplyBefore = supply;
        supply -= amountClaimed;

        // Update the lock details
        _checkpointLock(_tokenId, oldLocked, _lockDetails[_tokenId]);

        /// @notice ERC-5725 event
        emit PayoutClaimed(_tokenId, msg.sender, amountClaimed);

        // IERC5725 - Update the total amount claimed
        _payoutClaimed[_tokenId] += amountClaimed;
        // Transfer the claimed amount to the sender
        IERC20Upgradeable(_payoutToken(_tokenId)).safeTransfer(msg.sender, amountClaimed);

        emit SupplyUpdated(supplyBefore, supply);
    }

    /**
     * @notice Claims the payout for a token
     * @param _tokenId The id of the token to claim the payout for
     */
    function claim(uint256 _tokenId) external override(ERC5725Upgradeable) {
        _claim(_tokenId);
    }

    /**
     * @notice Merges two tokens together
     * @param _from The id of the token to merge from
     * @param _to The id of the token to merge to
     */
    function merge(uint256 _from, uint256 _to) external nonReentrant checkAuthorized(_from) checkAuthorized(_to) {
        if (_from == _to) revert SameNFT();

        IVotingEscrowV2Upgradeable.LockDetails memory oldLockedTo = _lockDetails[_to];
        if (oldLockedTo.amount == 0) revert ZeroAmount();
        if (oldLockedTo.endTime <= block.timestamp && !oldLockedTo.isPermanent) revert LockExpired();

        IVotingEscrowV2Upgradeable.LockDetails memory oldLockedFrom = _lockDetails[_from];
        if (oldLockedFrom.amount == 0) revert ZeroAmount();
        if (oldLockedFrom.isPermanent == true && oldLockedFrom.isPermanent != oldLockedTo.isPermanent) revert PermanentLockMismatch();
        // Calculate the new end time
        uint256 end = oldLockedFrom.endTime >= oldLockedTo.endTime ? oldLockedFrom.endTime : oldLockedTo.endTime;

        // Set lock amount to 0
        _lockDetails[_from].amount = 0;
        // Update the lock details
        _checkpointLock(_from, oldLockedFrom, _lockDetails[_from]);

        // Calculate the new lock details
        LockDetails memory newLockedTo;
        newLockedTo.amount = oldLockedTo.amount + oldLockedFrom.amount;
        newLockedTo.isPermanent = oldLockedTo.isPermanent;
        if (!newLockedTo.isPermanent) {
            newLockedTo.endTime = end;
        }

        // Update the lock details
        _checkpointLock(_to, oldLockedTo, newLockedTo);
        _lockDetails[_to] = newLockedTo;
        emit LockMerged(_from, _to, newLockedTo.amount, end, newLockedTo.isPermanent);
    }

    /**
     * @notice Splits a token into multiple tokens
     * @param _weights The percentages to split the token into
     * @param _tokenId The id of the token to split
     */
    function split(uint256[] memory _weights, uint256 _tokenId) external nonReentrant checkAuthorized(_tokenId) {
        LockDetails memory locked = _lockDetails[_tokenId];
        LockDetails storage lockedStorage = _lockDetails[_tokenId];
        uint256 currentTime = block.timestamp;
        /// @dev Pulling directly from locked struct to avoid stack-too-deep
        if (locked.endTime <= currentTime && !locked.isPermanent) revert LockExpired();
        if (locked.amount == 0 || _weights.length < 2) revert ZeroAmount();

        // reset supply, _deposit_for increase it
        supply -= uint256(int256(locked.amount));
        // Capture owner for split
        address owner = _ownerOf(_tokenId);
        uint256 totalWeight = 0;
        for (uint256 i = 0; i < _weights.length; i++) {
            totalWeight += _weights[i];
        }
        if (totalWeight == 0) revert InvalidWeights();

        uint256 duration = locked.isPermanent ? 0 : locked.endTime > currentTime ? locked.endTime - currentTime : 0;

        uint256 amountLeftToSplit = locked.amount;
        for (uint256 i = 0; i < _weights.length; i++) {
            uint256 value = (uint256(int256(locked.amount)) * _weights[i]) / totalWeight;
            if(i == _weights.length - 1) {
                /// @dev Ensure no rounding errors occur by passing the remainder to the last split
                value = amountLeftToSplit;
            } 
            amountLeftToSplit -= value;
            if (i == 0) {
                lockedStorage.amount = value;
                supply += value;
                _checkpointLock(_tokenId, locked, lockedStorage);
            } else { 
                _createLock(value, duration, owner, owner, locked.isPermanent, DepositType.SPLIT_TYPE);
            }
        }
        emit LockSplit(_weights, _tokenId);
    }

    /**
     * @notice Burns a token
     * @param _tokenId The ids of the tokens to burn
     */
    function burn(uint256 _tokenId) external {
        if (_ownerOf(_tokenId) != _msgSender()) revert NotLockOwner();
        if(_lockDetails[_tokenId].amount > 0) revert LockHoldsValue();
        _burn(_tokenId);
    }

    /*///////////////////////////////////////////////////////////////
                           GAUGE REWARDS LOGIC
    //////////////////////////////////////////////////////////////*/

    function balanceOfNFT(uint256 _tokenId) public view returns (uint256) {
        return edStore.getAdjustedEscrowBias(_tokenId, block.timestamp);
    }

    function balanceOfNFTAt(uint256 _tokenId, uint256 _timestamp) external view returns (uint256) {
        return edStore.getAdjustedEscrowBias(_tokenId, _timestamp);
    }

    function getPastEscrowPoint(
        uint256 _tokenId,
        uint256 _timestamp
    ) external view override returns (Checkpoints.Point memory, uint48) {
        return edStore.getAdjustedEscrow(_tokenId, _timestamp);
    }

    function getFirstEscrowPoint(uint256 _tokenId) external view override returns (Checkpoints.Point memory, uint48) {
        return edStore.getFirstEscrowPoint(_tokenId);
    }

    function totalSupply() public view override(ERC721EnumerableUpgradeable, IERC721EnumerableUpgradeable) returns (uint256) {
        return edStore.getAdjustedGlobalVotes(block.timestamp.toUint48());
    }

    

    /*///////////////////////////////////////////////////////////////
                           @dev See {IVotes}.
    //////////////////////////////////////////////////////////////*/

    /**
     * @notice Gets the votes for a delegatee
     * @param account The address of the delegatee
     * @return The number of votes the delegatee has
     */
    function getVotes(address account) external view override(IVotes) returns (uint256) {
        return edStore.getAdjustedVotes(account, block.timestamp.toUint48());
    }

    /**
     * @notice Gets the past votes for a delegatee at a specific time point
     * @param account The address of the delegatee
     * @param timepoint The time point to get the votes at
     * @return The number of votes the delegatee had at the time point
     */
    function getPastVotes(address account, uint256 timepoint) external view override(IVotes) returns (uint256) {
        return edStore.getAdjustedVotes(account, timepoint.toUint48());
    }

    /**
     * @notice Gets the total supply at a specific time point
     * @param _timePoint The time point to get the total supply at
     * @return The total supply at the time point
     */
    function getPastTotalSupply(uint256 _timePoint) external view override(IVotes) returns (uint256) {
        return edStore.getAdjustedGlobalVotes(_timePoint.toUint48());
    }

    /**
     * @notice Delegates votes to a delegatee
     * @param delegatee The account to delegate votes to
     */
    function delegate(address delegatee) external override(IVotes) {
        _delegate(_msgSender(), delegatee);
    }

    /**
     * @notice Gets the delegate of a delegatee
     * @dev This function implements IVotes interface.
     *  An account can have multiple delegates in this contract. If multiple
     *  different delegates are found, this function returns address(1) to
     *  indicate that there is not a single unique delegate.
     * @param account The delegatee to get the delegate of
     * @return The delegate of the delegatee, or address(1) if multiple different delegates are found
     */
    function delegates(address account) external view override(IVotes) returns (address) {
        address delegatee = address(0);
        uint256 balance = balanceOf(account);
        /// @dev out-of-gas protection
        uint256 runs = 50 > balance ? balance : 50;
        for (uint256 i = 0; i < runs; i++) {
            uint256 tokenId = tokenOfOwnerByIndex(account, i);
            address currentDelegatee = edStore.getEscrowDelegatee(tokenId);
            /// @dev Hacky way to check if the delegatee is the same for all locks
            if (delegatee == address(0)) {
                delegatee = currentDelegatee;
            } else if (delegatee != currentDelegatee) {
                return address(1);
            }
        }
        return delegatee;
    }

    /**
     * @notice Delegates votes from a specific lock to a delegatee
     * @param _tokenId The ID of the lock token delegating the votes
     * @param delegatee The address to which the votes are being delegated
     */
    function delegate(uint256 _tokenId, address delegatee) external checkAuthorized(_tokenId) {
        (address fromDelegatee, address toDelegatee) = edStore.delegate(
            _tokenId,
            delegatee,
            _lockDetails[_tokenId].endTime
        );
        emit LockDelegateChanged(_tokenId, _msgSender(), fromDelegatee, toDelegatee);
    }

    /**
     * @notice Gets the delegatee of a given lock
     * @param tokenId The ID of the lock token
     * @return The address of the delegatee for the specified token
     */
    function getLockDelegatee(uint256 tokenId) external view returns (address) {
        return edStore.getEscrowDelegatee(tokenId);
    }

    /**
     * @notice Gets all delegates of a delegatee
     * @param account The delegatee to get the delegates of
     * @return An array of all delegates of the delegatee
     */
    function getAccountDelegates(address account) external view returns (address[] memory) {
        uint256 balance = balanceOf(account);
        address[] memory allDelegates = new address[](balance);
        for (uint256 i = 0; i < balance; i++) {
            uint256 tokenId = tokenOfOwnerByIndex(account, i);
            allDelegates[i] = edStore.getEscrowDelegatee(tokenId);
        }
        return allDelegates;
    }

    /**
     * @notice Public function to get the delegatee of a lock
     * @param tokenId The ID of the token
     * @param timestamp The timestamp to get the delegate at
     * @return The address of the delegate
     */
    function delegates(uint256 tokenId, uint48 timestamp) external view returns (address) {
        return edStore.getEscrowDelegateeAtTime(tokenId, timestamp);
    }

    /**
     * @notice Delegates votes by signature
     * @param delegatee The delegatee to delegate votes to
     * @param nonce The nonce for the signature
     * @param expiry The expiry time for the signature
     * @param v The recovery byte of the signature
     * @param r Half of the ECDSA signature pair
     * @param s Half of the ECDSA signature pair
     */
    function delegateBySig(
        address delegatee,
        uint256 nonce,
        uint256 expiry,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external override(IVotes) {
        // Removed for gas considerations. The code below uncommented adds 1.289 kbs to the contract size.
        revert("delegateBySig: size cut");
        /*
        if (delegatee == msg.sender || delegatee == address(0)) revert InvalidDelegatee();

        bytes32 domainSeparator = _domainSeparatorV4();
        bytes32 structHash = keccak256(abi.encode(DELEGATION_TYPEHASH, delegatee, nonce, expiry));
        bytes32 digest = keccak256(abi.encodePacked("\x19\x01", domainSeparator, structHash));
        address signatory = ECDSA.recover(digest, v, r, s);
        if (signatory == address(0)) revert InvalidSignature();
        if (nonce != nonces[signatory]++) revert InvalidNonce();
        if (block.timestamp > expiry) revert VotesExpiredSignature(expiry);
        return _delegate(signatory, delegatee);
        */
    }

    /**
     * @notice Delegates votes from an owner to an delegatee
     * @param delegator The owner of the tokenId delegating votes
     * @param delegatee The account to delegate votes to
     */
    function _delegate(address delegator, address delegatee) internal nonReentrant {
        uint256 balance = balanceOf(delegator);
        address fromDelegate = address(0);
        for (uint256 i = 0; i < balance; i++) {
            uint256 tokenId = tokenOfOwnerByIndex(delegator, i);
            (address oldDelegate, address newDelegate) = edStore.delegate(
                tokenId,
                delegatee,
                _lockDetails[tokenId].endTime
            );
            emit LockDelegateChanged(tokenId, delegator, oldDelegate, newDelegate);
            /// @dev Hacky way to check if the delegatee is the same for all locks
            if (fromDelegate == address(0)) {
                fromDelegate = oldDelegate;
            } else if (fromDelegate != address(1)) {
                if (fromDelegate != oldDelegate) {
                    fromDelegate = address(1);
                }
            }
        }
        emit DelegateChanged(delegator, fromDelegate, delegatee);
    }

    /*///////////////////////////////////////////////////////////////
                           @dev See {IERC5725}.
    //////////////////////////////////////////////////////////////*/

    /**
     * @dev See {ERC5725Upgradeable}.
     */
    function vestedPayoutAtTime(
        uint256 tokenId,
        uint256 timestamp
    ) public view override(ERC5725Upgradeable) validToken(tokenId) returns (uint256 payout) {
        if (timestamp >= _endTime(tokenId)) {
            return _payout(tokenId);
        }
        return 0;
    }

    /**
     * @dev See {ERC5725Upgradeable}.
     */
    function _payoutToken(uint256 /*tokenId*/) internal view override returns (address) {
        return address(_token);
    }

    /**
     * @dev See {ERC5725Upgradeable}.
     */
    function _payout(uint256 tokenId) internal view override returns (uint256) {
        return _lockDetails[tokenId].amount;
    }

    /**
     * @dev See {ERC5725Upgradeable}.
     */
    function _startTime(uint256 tokenId) internal view override returns (uint256) {
        return _lockDetails[tokenId].startTime;
    }

    /**
     * @dev See {ERC5725Upgradeable}.
     */
    function _endTime(uint256 tokenId) internal view override returns (uint256) {
        return _lockDetails[tokenId].endTime;
    }

    function token() external view returns (IERC20Upgradeable) {
        return _token;
    }

    function lockDetails(uint256 _tokenId) external view returns (LockDetails memory) {
        return _lockDetails[_tokenId];
    }

    function isApprovedOrOwner(address user, uint tokenId) external view returns (bool) {
        return _isAuthorized(ownerOf(tokenId), user, tokenId);
    }
}

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

pragma solidity ^0.8.0;

interface IERC5267Upgradeable {
    /**
     * @dev MAY be emitted to signal that the domain could have changed.
     */
    event EIP712DomainChanged();

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

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

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.4) (token/ERC20/extensions/IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 *
 * ==== Security Considerations
 *
 * There are two important considerations concerning the use of `permit`. The first is that a valid permit signature
 * expresses an allowance, and it should not be assumed to convey additional meaning. In particular, it should not be
 * considered as an intention to spend the allowance in any specific way. The second is that because permits have
 * built-in replay protection and can be submitted by anyone, they can be frontrun. A protocol that uses permits should
 * take this into consideration and allow a `permit` call to fail. Combining these two aspects, a pattern that may be
 * generally recommended is:
 *
 * ```solidity
 * function doThingWithPermit(..., uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s) public {
 *     try token.permit(msg.sender, address(this), value, deadline, v, r, s) {} catch {}
 *     doThing(..., value);
 * }
 *
 * function doThing(..., uint256 value) public {
 *     token.safeTransferFrom(msg.sender, address(this), value);
 *     ...
 * }
 * ```
 *
 * Observe that: 1) `msg.sender` is used as the owner, leaving no ambiguity as to the signer intent, and 2) the use of
 * `try/catch` allows the permit to fail and makes the code tolerant to frontrunning. (See also
 * {SafeERC20-safeTransferFrom}).
 *
 * Additionally, note that smart contract wallets (such as Argent or Safe) are not able to produce permit signatures, so
 * contracts should have entry points that don't rely on permit.
 */
interface IERC20PermitUpgradeable {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     *
     * CAUTION: See Security Considerations above.
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

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

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

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

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20Upgradeable {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

import "../IERC20Upgradeable.sol";
import "../extensions/IERC20PermitUpgradeable.sol";
import "../../../utils/AddressUpgradeable.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 SafeERC20Upgradeable {
    using AddressUpgradeable 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(IERC20Upgradeable 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(IERC20Upgradeable 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(IERC20Upgradeable 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(IERC20Upgradeable 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(IERC20Upgradeable token, address spender, uint256 value) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, oldAllowance - value));
        }
    }

    /**
     * @dev Set the calling contract's allowance toward `spender` to `value`. If `token` returns no value,
     * non-reverting calls are assumed to be successful. Meant to be used with tokens that require the approval
     * to be set to zero before setting it to a non-zero value, such as USDT.
     */
    function forceApprove(IERC20Upgradeable 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(
        IERC20PermitUpgradeable 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(IERC20Upgradeable 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(IERC20Upgradeable 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))) && AddressUpgradeable.isContract(address(token));
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/ERC721.sol)

pragma solidity ^0.8.0;

import "./IERC721Upgradeable.sol";
import "./IERC721ReceiverUpgradeable.sol";
import "./extensions/IERC721MetadataUpgradeable.sol";
import "../../utils/AddressUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../utils/StringsUpgradeable.sol";
import "../../utils/introspection/ERC165Upgradeable.sol";
import {Initializable} from "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of https://eips.ethereum.org/EIPS/eip-721[ERC721] Non-Fungible Token Standard, including
 * the Metadata extension, but not including the Enumerable extension, which is available separately as
 * {ERC721Enumerable}.
 */
contract ERC721Upgradeable is Initializable, ContextUpgradeable, ERC165Upgradeable, IERC721Upgradeable, IERC721MetadataUpgradeable {
    using AddressUpgradeable for address;
    using StringsUpgradeable for uint256;

    // Token name
    string private _name;

    // Token symbol
    string private _symbol;

    // Mapping from token ID to owner address
    mapping(uint256 => address) private _owners;

    // Mapping owner address to token count
    mapping(address => uint256) private _balances;

    // Mapping from token ID to approved address
    mapping(uint256 => address) private _tokenApprovals;

    // Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) private _operatorApprovals;

    /**
     * @dev Initializes the contract by setting a `name` and a `symbol` to the token collection.
     */
    function __ERC721_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC721_init_unchained(name_, symbol_);
    }

    function __ERC721_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(ERC165Upgradeable, IERC165Upgradeable) returns (bool) {
        return
            interfaceId == type(IERC721Upgradeable).interfaceId ||
            interfaceId == type(IERC721MetadataUpgradeable).interfaceId ||
            super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721-balanceOf}.
     */
    function balanceOf(address owner) public view virtual override returns (uint256) {
        require(owner != address(0), "ERC721: address zero is not a valid owner");
        return _balances[owner];
    }

    /**
     * @dev See {IERC721-ownerOf}.
     */
    function ownerOf(uint256 tokenId) public view virtual override returns (address) {
        address owner = _ownerOf(tokenId);
        require(owner != address(0), "ERC721: invalid token ID");
        return owner;
    }

    /**
     * @dev See {IERC721Metadata-name}.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

    /**
     * @dev See {IERC721Metadata-symbol}.
     */
    function symbol() public view virtual override returns (string memory) {
        return _symbol;
    }

    /**
     * @dev See {IERC721Metadata-tokenURI}.
     */
    function tokenURI(uint256 tokenId) public view virtual override returns (string memory) {
        _requireMinted(tokenId);

        string memory baseURI = _baseURI();
        return bytes(baseURI).length > 0 ? string(abi.encodePacked(baseURI, tokenId.toString())) : "";
    }

    /**
     * @dev Base URI for computing {tokenURI}. If set, the resulting URI for each
     * token will be the concatenation of the `baseURI` and the `tokenId`. Empty
     * by default, can be overridden in child contracts.
     */
    function _baseURI() internal view virtual returns (string memory) {
        return "";
    }

    /**
     * @dev See {IERC721-approve}.
     */
    function approve(address to, uint256 tokenId) public virtual override {
        address owner = ERC721Upgradeable.ownerOf(tokenId);
        require(to != owner, "ERC721: approval to current owner");

        require(
            _msgSender() == owner || isApprovedForAll(owner, _msgSender()),
            "ERC721: approve caller is not token owner or approved for all"
        );

        _approve(to, tokenId);
    }

    /**
     * @dev See {IERC721-getApproved}.
     */
    function getApproved(uint256 tokenId) public view virtual override returns (address) {
        _requireMinted(tokenId);

        return _tokenApprovals[tokenId];
    }

    /**
     * @dev See {IERC721-setApprovalForAll}.
     */
    function setApprovalForAll(address operator, bool approved) public virtual override {
        _setApprovalForAll(_msgSender(), operator, approved);
    }

    /**
     * @dev See {IERC721-isApprovedForAll}.
     */
    function isApprovedForAll(address owner, address operator) public view virtual override returns (bool) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev See {IERC721-transferFrom}.
     */
    function transferFrom(address from, address to, uint256 tokenId) public virtual override {
        //solhint-disable-next-line max-line-length
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");

        _transfer(from, to, tokenId);
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) public virtual override {
        safeTransferFrom(from, to, tokenId, "");
    }

    /**
     * @dev See {IERC721-safeTransferFrom}.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes memory data) public virtual override {
        require(_isApprovedOrOwner(_msgSender(), tokenId), "ERC721: caller is not token owner or approved");
        _safeTransfer(from, to, tokenId, data);
    }

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * `data` is additional data, it has no specified format and it is sent in call to `to`.
     *
     * This internal function is equivalent to {safeTransferFrom}, and can be used to e.g.
     * implement alternative mechanisms to perform token transfer, such as signature-based.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeTransfer(address from, address to, uint256 tokenId, bytes memory data) internal virtual {
        _transfer(from, to, tokenId);
        require(_checkOnERC721Received(from, to, tokenId, data), "ERC721: transfer to non ERC721Receiver implementer");
    }

    /**
     * @dev Returns the owner of the `tokenId`. Does NOT revert if token doesn't exist
     */
    function _ownerOf(uint256 tokenId) internal view virtual returns (address) {
        return _owners[tokenId];
    }

    /**
     * @dev Returns whether `tokenId` exists.
     *
     * Tokens can be managed by their owner or approved accounts via {approve} or {setApprovalForAll}.
     *
     * Tokens start existing when they are minted (`_mint`),
     * and stop existing when they are burned (`_burn`).
     */
    function _exists(uint256 tokenId) internal view virtual returns (bool) {
        return _ownerOf(tokenId) != address(0);
    }

    /**
     * @dev Returns whether `spender` is allowed to manage `tokenId`.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function _isApprovedOrOwner(address spender, uint256 tokenId) internal view virtual returns (bool) {
        address owner = ERC721Upgradeable.ownerOf(tokenId);
        return (spender == owner || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);
    }

    /**
     * @dev Safely mints `tokenId` and transfers it to `to`.
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function _safeMint(address to, uint256 tokenId) internal virtual {
        _safeMint(to, tokenId, "");
    }

    /**
     * @dev Same as {xref-ERC721-_safeMint-address-uint256-}[`_safeMint`], with an additional `data` parameter which is
     * forwarded in {IERC721Receiver-onERC721Received} to contract recipients.
     */
    function _safeMint(address to, uint256 tokenId, bytes memory data) internal virtual {
        _mint(to, tokenId);
        require(
            _checkOnERC721Received(address(0), to, tokenId, data),
            "ERC721: transfer to non ERC721Receiver implementer"
        );
    }

    /**
     * @dev Mints `tokenId` and transfers it to `to`.
     *
     * WARNING: Usage of this method is discouraged, use {_safeMint} whenever possible
     *
     * Requirements:
     *
     * - `tokenId` must not exist.
     * - `to` cannot be the zero address.
     *
     * Emits a {Transfer} event.
     */
    function _mint(address to, uint256 tokenId) internal virtual {
        require(to != address(0), "ERC721: mint to the zero address");
        require(!_exists(tokenId), "ERC721: token already minted");

        _beforeTokenTransfer(address(0), to, tokenId, 1);

        // Check that tokenId was not minted by `_beforeTokenTransfer` hook
        require(!_exists(tokenId), "ERC721: token already minted");

        unchecked {
            // Will not overflow unless all 2**256 token ids are minted to the same owner.
            // Given that tokens are minted one by one, it is impossible in practice that
            // this ever happens. Might change if we allow batch minting.
            // The ERC fails to describe this case.
            _balances[to] += 1;
        }

        _owners[tokenId] = to;

        emit Transfer(address(0), to, tokenId);

        _afterTokenTransfer(address(0), to, tokenId, 1);
    }

    /**
     * @dev Destroys `tokenId`.
     * The approval is cleared when the token is burned.
     * This is an internal function that does not check if the sender is authorized to operate on the token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     *
     * Emits a {Transfer} event.
     */
    function _burn(uint256 tokenId) internal virtual {
        address owner = ERC721Upgradeable.ownerOf(tokenId);

        _beforeTokenTransfer(owner, address(0), tokenId, 1);

        // Update ownership in case tokenId was transferred by `_beforeTokenTransfer` hook
        owner = ERC721Upgradeable.ownerOf(tokenId);

        // Clear approvals
        delete _tokenApprovals[tokenId];

        unchecked {
            // Cannot overflow, as that would require more tokens to be burned/transferred
            // out than the owner initially received through minting and transferring in.
            _balances[owner] -= 1;
        }
        delete _owners[tokenId];

        emit Transfer(owner, address(0), tokenId);

        _afterTokenTransfer(owner, address(0), tokenId, 1);
    }

    /**
     * @dev Transfers `tokenId` from `from` to `to`.
     *  As opposed to {transferFrom}, this imposes no restrictions on msg.sender.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     *
     * Emits a {Transfer} event.
     */
    function _transfer(address from, address to, uint256 tokenId) internal virtual {
        require(ERC721Upgradeable.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");
        require(to != address(0), "ERC721: transfer to the zero address");

        _beforeTokenTransfer(from, to, tokenId, 1);

        // Check that tokenId was not transferred by `_beforeTokenTransfer` hook
        require(ERC721Upgradeable.ownerOf(tokenId) == from, "ERC721: transfer from incorrect owner");

        // Clear approvals from the previous owner
        delete _tokenApprovals[tokenId];

        unchecked {
            // `_balances[from]` cannot overflow for the same reason as described in `_burn`:
            // `from`'s balance is the number of token held, which is at least one before the current
            // transfer.
            // `_balances[to]` could overflow in the conditions described in `_mint`. That would require
            // all 2**256 token ids to be minted, which in practice is impossible.
            _balances[from] -= 1;
            _balances[to] += 1;
        }
        _owners[tokenId] = to;

        emit Transfer(from, to, tokenId);

        _afterTokenTransfer(from, to, tokenId, 1);
    }

    /**
     * @dev Approve `to` to operate on `tokenId`
     *
     * Emits an {Approval} event.
     */
    function _approve(address to, uint256 tokenId) internal virtual {
        _tokenApprovals[tokenId] = to;
        emit Approval(ERC721Upgradeable.ownerOf(tokenId), to, tokenId);
    }

    /**
     * @dev Approve `operator` to operate on all of `owner` tokens
     *
     * Emits an {ApprovalForAll} event.
     */
    function _setApprovalForAll(address owner, address operator, bool approved) internal virtual {
        require(owner != operator, "ERC721: approve to caller");
        _operatorApprovals[owner][operator] = approved;
        emit ApprovalForAll(owner, operator, approved);
    }

    /**
     * @dev Reverts if the `tokenId` has not been minted yet.
     */
    function _requireMinted(uint256 tokenId) internal view virtual {
        require(_exists(tokenId), "ERC721: invalid token ID");
    }

    /**
     * @dev Internal function to invoke {IERC721Receiver-onERC721Received} on a target address.
     * The call is not executed if the target address is not a contract.
     *
     * @param from address representing the previous owner of the given token ID
     * @param to target address that will receive the tokens
     * @param tokenId uint256 ID of the token to be transferred
     * @param data bytes optional data to send along with the call
     * @return bool whether the call correctly returned the expected magic value
     */
    function _checkOnERC721Received(
        address from,
        address to,
        uint256 tokenId,
        bytes memory data
    ) private returns (bool) {
        if (to.isContract()) {
            try IERC721ReceiverUpgradeable(to).onERC721Received(_msgSender(), from, tokenId, data) returns (bytes4 retval) {
                return retval == IERC721ReceiverUpgradeable.onERC721Received.selector;
            } catch (bytes memory reason) {
                if (reason.length == 0) {
                    revert("ERC721: transfer to non ERC721Receiver implementer");
                } else {
                    /// @solidity memory-safe-assembly
                    assembly {
                        revert(add(32, reason), mload(reason))
                    }
                }
            }
        } else {
            return true;
        }
    }

    /**
     * @dev Hook that is called before any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens will be transferred to `to`.
     * - When `from` is zero, the tokens will be minted for `to`.
     * - When `to` is zero, ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(address from, address to, uint256 firstTokenId, uint256 batchSize) internal virtual {}

    /**
     * @dev Hook that is called after any token transfer. This includes minting and burning. If {ERC721Consecutive} is
     * used, the hook may be called as part of a consecutive (batch) mint, as indicated by `batchSize` greater than 1.
     *
     * Calling conditions:
     *
     * - When `from` and `to` are both non-zero, ``from``'s tokens were transferred to `to`.
     * - When `from` is zero, the tokens were minted for `to`.
     * - When `to` is zero, ``from``'s tokens were burned.
     * - `from` and `to` are never both zero.
     * - `batchSize` is non-zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(address from, address to, uint256 firstTokenId, uint256 batchSize) internal virtual {}

    /**
     * @dev Unsafe write access to the balances, used by extensions that "mint" tokens using an {ownerOf} override.
     *
     * WARNING: Anyone calling this MUST ensure that the balances remain consistent with the ownership. The invariant
     * being that for any address `a` the value returned by `balanceOf(a)` must be equal to the number of tokens such
     * that `ownerOf(tokenId)` is `a`.
     */
    // solhint-disable-next-line func-name-mixedcase
    function __unsafe_increaseBalance(address account, uint256 amount) internal {
        _balances[account] += amount;
    }

    /**
     * @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[44] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.8.0) (token/ERC721/extensions/ERC721Enumerable.sol)

pragma solidity ^0.8.0;

import "../ERC721Upgradeable.sol";
import "./IERC721EnumerableUpgradeable.sol";
import {Initializable} from "../../../proxy/utils/Initializable.sol";

/**
 * @dev This implements an optional extension of {ERC721} defined in the EIP that adds
 * enumerability of all the token ids in the contract as well as all token ids owned by each
 * account.
 */
abstract contract ERC721EnumerableUpgradeable is Initializable, ERC721Upgradeable, IERC721EnumerableUpgradeable {
    // Mapping from owner to list of owned token IDs
    mapping(address => mapping(uint256 => uint256)) private _ownedTokens;

    // Mapping from token ID to index of the owner tokens list
    mapping(uint256 => uint256) private _ownedTokensIndex;

    // Array with all token ids, used for enumeration
    uint256[] private _allTokens;

    // Mapping from token id to position in the allTokens array
    mapping(uint256 => uint256) private _allTokensIndex;

    function __ERC721Enumerable_init() internal onlyInitializing {
    }

    function __ERC721Enumerable_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override(IERC165Upgradeable, ERC721Upgradeable) returns (bool) {
        return interfaceId == type(IERC721EnumerableUpgradeable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC721Enumerable-tokenOfOwnerByIndex}.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) public view virtual override returns (uint256) {
        require(index < ERC721Upgradeable.balanceOf(owner), "ERC721Enumerable: owner index out of bounds");
        return _ownedTokens[owner][index];
    }

    /**
     * @dev See {IERC721Enumerable-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _allTokens.length;
    }

    /**
     * @dev See {IERC721Enumerable-tokenByIndex}.
     */
    function tokenByIndex(uint256 index) public view virtual override returns (uint256) {
        require(index < ERC721EnumerableUpgradeable.totalSupply(), "ERC721Enumerable: global index out of bounds");
        return _allTokens[index];
    }

    /**
     * @dev See {ERC721-_beforeTokenTransfer}.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual override {
        super._beforeTokenTransfer(from, to, firstTokenId, batchSize);

        if (batchSize > 1) {
            // Will only trigger during construction. Batch transferring (minting) is not available afterwards.
            revert("ERC721Enumerable: consecutive transfers not supported");
        }

        uint256 tokenId = firstTokenId;

        if (from == address(0)) {
            _addTokenToAllTokensEnumeration(tokenId);
        } else if (from != to) {
            _removeTokenFromOwnerEnumeration(from, tokenId);
        }
        if (to == address(0)) {
            _removeTokenFromAllTokensEnumeration(tokenId);
        } else if (to != from) {
            _addTokenToOwnerEnumeration(to, tokenId);
        }
    }

    /**
     * @dev Private function to add a token to this extension's ownership-tracking data structures.
     * @param to address representing the new owner of the given token ID
     * @param tokenId uint256 ID of the token to be added to the tokens list of the given address
     */
    function _addTokenToOwnerEnumeration(address to, uint256 tokenId) private {
        uint256 length = ERC721Upgradeable.balanceOf(to);
        _ownedTokens[to][length] = tokenId;
        _ownedTokensIndex[tokenId] = length;
    }

    /**
     * @dev Private function to add a token to this extension's token tracking data structures.
     * @param tokenId uint256 ID of the token to be added to the tokens list
     */
    function _addTokenToAllTokensEnumeration(uint256 tokenId) private {
        _allTokensIndex[tokenId] = _allTokens.length;
        _allTokens.push(tokenId);
    }

    /**
     * @dev Private function to remove a token from this extension's ownership-tracking data structures. Note that
     * while the token is not assigned a new owner, the `_ownedTokensIndex` mapping is _not_ updated: this allows for
     * gas optimizations e.g. when performing a transfer operation (avoiding double writes).
     * This has O(1) time complexity, but alters the order of the _ownedTokens array.
     * @param from address representing the previous owner of the given token ID
     * @param tokenId uint256 ID of the token to be removed from the tokens list of the given address
     */
    function _removeTokenFromOwnerEnumeration(address from, uint256 tokenId) private {
        // To prevent a gap in from's tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).

        uint256 lastTokenIndex = ERC721Upgradeable.balanceOf(from) - 1;
        uint256 tokenIndex = _ownedTokensIndex[tokenId];

        // When the token to delete is the last token, the swap operation is unnecessary
        if (tokenIndex != lastTokenIndex) {
            uint256 lastTokenId = _ownedTokens[from][lastTokenIndex];

            _ownedTokens[from][tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
            _ownedTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index
        }

        // This also deletes the contents at the last position of the array
        delete _ownedTokensIndex[tokenId];
        delete _ownedTokens[from][lastTokenIndex];
    }

    /**
     * @dev Private function to remove a token from this extension's token tracking data structures.
     * This has O(1) time complexity, but alters the order of the _allTokens array.
     * @param tokenId uint256 ID of the token to be removed from the tokens list
     */
    function _removeTokenFromAllTokensEnumeration(uint256 tokenId) private {
        // To prevent a gap in the tokens array, we store the last token in the index of the token to delete, and
        // then delete the last slot (swap and pop).

        uint256 lastTokenIndex = _allTokens.length - 1;
        uint256 tokenIndex = _allTokensIndex[tokenId];

        // When the token to delete is the last token, the swap operation is unnecessary. However, since this occurs so
        // rarely (when the last minted token is burnt) that we still do the swap here to avoid the gas cost of adding
        // an 'if' statement (like in _removeTokenFromOwnerEnumeration)
        uint256 lastTokenId = _allTokens[lastTokenIndex];

        _allTokens[tokenIndex] = lastTokenId; // Move the last token to the slot of the to-delete token
        _allTokensIndex[lastTokenId] = tokenIndex; // Update the moved token's index

        // This also deletes the contents at the last position of the array
        delete _allTokensIndex[tokenId];
        _allTokens.pop();
    }

    /**
     * @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[46] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC721/extensions/IERC721Enumerable.sol)

pragma solidity ^0.8.0;

import "../IERC721Upgradeable.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional enumeration extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721EnumerableUpgradeable is IERC721Upgradeable {
    /**
     * @dev Returns the total amount of tokens stored by the contract.
     */
    function totalSupply() external view returns (uint256);

    /**
     * @dev Returns a token ID owned by `owner` at a given `index` of its token list.
     * Use along with {balanceOf} to enumerate all of ``owner``'s tokens.
     */
    function tokenOfOwnerByIndex(address owner, uint256 index) external view returns (uint256);

    /**
     * @dev Returns a token ID at a given `index` of all the tokens stored by the contract.
     * Use along with {totalSupply} to enumerate all tokens.
     */
    function tokenByIndex(uint256 index) external view returns (uint256);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol)

pragma solidity ^0.8.0;

import "../IERC721Upgradeable.sol";

/**
 * @title ERC-721 Non-Fungible Token Standard, optional metadata extension
 * @dev See https://eips.ethereum.org/EIPS/eip-721
 */
interface IERC721MetadataUpgradeable is IERC721Upgradeable {
    /**
     * @dev Returns the token collection name.
     */
    function name() external view returns (string memory);

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

    /**
     * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token.
     */
    function tokenURI(uint256 tokenId) external view returns (string memory);
}

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

pragma solidity ^0.8.0;

/**
 * @title ERC721 token receiver interface
 * @dev Interface for any contract that wants to support safeTransfers
 * from ERC721 asset contracts.
 */
interface IERC721ReceiverUpgradeable {
    /**
     * @dev Whenever an {IERC721} `tokenId` token is transferred to this contract via {IERC721-safeTransferFrom}
     * by `operator` from `from`, this function is called.
     *
     * It must return its Solidity selector to confirm the token transfer.
     * If any other value is returned or the interface is not implemented by the recipient, the transfer will be reverted.
     *
     * The selector can be obtained in Solidity with `IERC721Receiver.onERC721Received.selector`.
     */
    function onERC721Received(
        address operator,
        address from,
        uint256 tokenId,
        bytes calldata data
    ) external returns (bytes4);
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/IERC721.sol)

pragma solidity ^0.8.0;

import "../../utils/introspection/IERC165Upgradeable.sol";

/**
 * @dev Required interface of an ERC721 compliant contract.
 */
interface IERC721Upgradeable is IERC165Upgradeable {
    /**
     * @dev Emitted when `tokenId` token is transferred from `from` to `to`.
     */
    event Transfer(address indexed from, address indexed to, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token.
     */
    event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId);

    /**
     * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets.
     */
    event ApprovalForAll(address indexed owner, address indexed operator, bool approved);

    /**
     * @dev Returns the number of tokens in ``owner``'s account.
     */
    function balanceOf(address owner) external view returns (uint256 balance);

    /**
     * @dev Returns the owner of the `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function ownerOf(uint256 tokenId) external view returns (address owner);

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external;

    /**
     * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients
     * are aware of the ERC721 protocol to prevent tokens from being forever locked.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must exist and be owned by `from`.
     * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}.
     * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer.
     *
     * Emits a {Transfer} event.
     */
    function safeTransferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Transfers `tokenId` token from `from` to `to`.
     *
     * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721
     * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must
     * understand this adds an external call which potentially creates a reentrancy vulnerability.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `tokenId` token must be owned by `from`.
     * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}.
     *
     * Emits a {Transfer} event.
     */
    function transferFrom(address from, address to, uint256 tokenId) external;

    /**
     * @dev Gives permission to `to` to transfer `tokenId` token to another account.
     * The approval is cleared when the token is transferred.
     *
     * Only a single account can be approved at a time, so approving the zero address clears previous approvals.
     *
     * Requirements:
     *
     * - The caller must own the token or be an approved operator.
     * - `tokenId` must exist.
     *
     * Emits an {Approval} event.
     */
    function approve(address to, uint256 tokenId) external;

    /**
     * @dev Approve or remove `operator` as an operator for the caller.
     * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller.
     *
     * Requirements:
     *
     * - The `operator` cannot be the caller.
     *
     * Emits an {ApprovalForAll} event.
     */
    function setApprovalForAll(address operator, bool approved) external;

    /**
     * @dev Returns the account approved for `tokenId` token.
     *
     * Requirements:
     *
     * - `tokenId` must exist.
     */
    function getApproved(uint256 tokenId) external view returns (address operator);

    /**
     * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`.
     *
     * See {setApprovalForAll}
     */
    function isApprovedForAll(address owner, address operator) external view returns (bool);
}

// 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 v4.9.4) (utils/Context.sol)

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

import "../StringsUpgradeable.sol";

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

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

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

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

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

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

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

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

        return (signer, RecoverError.NoError);
    }

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

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

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

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

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

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

pragma solidity ^0.8.8;

import "./ECDSAUpgradeable.sol";
import "../../interfaces/IERC5267Upgradeable.sol";
import {Initializable} from "../../proxy/utils/Initializable.sol";

/**
 * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
 *
 * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
 * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
 * they need in their contracts using a combination of `abi.encode` and `keccak256`.
 *
 * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
 * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
 * ({_hashTypedDataV4}).
 *
 * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
 * the chain id to protect against replay attacks on an eventual fork of the chain.
 *
 * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
 * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
 *
 * NOTE: In the upgradeable version of this contract, the cached values will correspond to the address, and the domain
 * separator of the implementation contract. This will cause the `_domainSeparatorV4` function to always rebuild the
 * separator from the immutable values, which is cheaper than accessing a cached version in cold storage.
 *
 * _Available since v3.4._
 *
 * @custom:storage-size 52
 */
abstract contract EIP712Upgradeable is Initializable, IERC5267Upgradeable {
    bytes32 private constant _TYPE_HASH =
        keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");

    /// @custom:oz-renamed-from _HASHED_NAME
    bytes32 private _hashedName;
    /// @custom:oz-renamed-from _HASHED_VERSION
    bytes32 private _hashedVersion;

    string private _name;
    string private _version;

    /**
     * @dev Initializes the domain separator and parameter caches.
     *
     * The meaning of `name` and `version` is specified in
     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
     *
     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
     * - `version`: the current major version of the signing domain.
     *
     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
     * contract upgrade].
     */
    function __EIP712_init(string memory name, string memory version) internal onlyInitializing {
        __EIP712_init_unchained(name, version);
    }

    function __EIP712_init_unchained(string memory name, string memory version) internal onlyInitializing {
        _name = name;
        _version = version;

        // Reset prior values in storage if upgrading
        _hashedName = 0;
        _hashedVersion = 0;
    }

    /**
     * @dev Returns the domain separator for the current chain.
     */
    function _domainSeparatorV4() internal view returns (bytes32) {
        return _buildDomainSeparator();
    }

    function _buildDomainSeparator() private view returns (bytes32) {
        return keccak256(abi.encode(_TYPE_HASH, _EIP712NameHash(), _EIP712VersionHash(), block.chainid, address(this)));
    }

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

    /**
     * @dev See {EIP-5267}.
     *
     * _Available since v4.9._
     */
    function eip712Domain()
        public
        view
        virtual
        override
        returns (
            bytes1 fields,
            string memory name,
            string memory version,
            uint256 chainId,
            address verifyingContract,
            bytes32 salt,
            uint256[] memory extensions
        )
    {
        // If the hashed name and version in storage are non-zero, the contract hasn't been properly initialized
        // and the EIP712 domain is not reliable, as it will be missing name and version.
        require(_hashedName == 0 && _hashedVersion == 0, "EIP712: Uninitialized");

        return (
            hex"0f", // 01111
            _EIP712Name(),
            _EIP712Version(),
            block.chainid,
            address(this),
            bytes32(0),
            new uint256[](0)
        );
    }

    /**
     * @dev The name parameter for the EIP712 domain.
     *
     * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
     * are a concern.
     */
    function _EIP712Name() internal virtual view returns (string memory) {
        return _name;
    }

    /**
     * @dev The version parameter for the EIP712 domain.
     *
     * NOTE: This function reads from storage by default, but can be redefined to return a constant value if gas costs
     * are a concern.
     */
    function _EIP712Version() internal virtual view returns (string memory) {
        return _version;
    }

    /**
     * @dev The hash of the name parameter for the EIP712 domain.
     *
     * NOTE: In previous versions this function was virtual. In this version you should override `_EIP712Name` instead.
     */
    function _EIP712NameHash() internal view returns (bytes32) {
        string memory name = _EIP712Name();
        if (bytes(name).length > 0) {
            return keccak256(bytes(name));
        } else {
            // If the name is empty, the contract may have been upgraded without initializing the new storage.
            // We return the name hash in storage if non-zero, otherwise we assume the name is empty by design.
            bytes32 hashedName = _hashedName;
            if (hashedName != 0) {
                return hashedName;
            } else {
                return keccak256("");
            }
        }
    }

    /**
     * @dev The hash of the version parameter for the EIP712 domain.
     *
     * NOTE: In previous versions this function was virtual. In this version you should override `_EIP712Version` instead.
     */
    function _EIP712VersionHash() internal view returns (bytes32) {
        string memory version = _EIP712Version();
        if (bytes(version).length > 0) {
            return keccak256(bytes(version));
        } else {
            // If the version is empty, the contract may have been upgraded without initializing the new storage.
            // We return the version hash in storage if non-zero, otherwise we assume the version is empty by design.
            bytes32 hashedVersion = _hashedVersion;
            if (hashedVersion != 0) {
                return hashedVersion;
            } else {
                return keccak256("");
            }
        }
    }

    /**
     * @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[48] private __gap;
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (utils/introspection/ERC165.sol)

pragma solidity ^0.8.0;

import "./IERC165Upgradeable.sol";
import {Initializable} from "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC165} interface.
 *
 * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
 * for the additional interface id that will be supported. For example:
 *
 * ```solidity
 * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
 *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
 * }
 * ```
 *
 * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
 */
abstract contract ERC165Upgradeable is Initializable, IERC165Upgradeable {
    function __ERC165_init() internal onlyInitializing {
    }

    function __ERC165_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev See {IERC165-supportsInterface}.
     */
    function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
        return interfaceId == type(IERC165Upgradeable).interfaceId;
    }

    /**
     * @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 v4.4.1 (utils/introspection/IERC165.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC165 standard, as defined in the
 * https://eips.ethereum.org/EIPS/eip-165[EIP].
 *
 * Implementers can declare support of contract interfaces, which can then be
 * queried by others ({ERC165Checker}).
 *
 * For an implementation, see {ERC165}.
 */
interface IERC165Upgradeable {
    /**
     * @dev Returns true if this contract implements the interface defined by
     * `interfaceId`. See the corresponding
     * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
     * to learn more about how these ids are created.
     *
     * This function call must use less than 30 000 gas.
     */
    function supportsInterface(bytes4 interfaceId) external view returns (bool);
}

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

pragma solidity ^0.8.0;

import "./math/MathUpgradeable.sol";
import "./math/SignedMathUpgradeable.sol";

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
// 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 IVotes {
    /**
     * @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 (last updated v4.9.0) (security/ReentrancyGuard.sol)

pragma solidity ^0.8.0;

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

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

    uint256 private _status;

    constructor() {
        _status = _NOT_ENTERED;
    }

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

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

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

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

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

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

pragma solidity ^0.8.0;

import "../Strings.sol";

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

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

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

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

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

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

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

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

        return (signer, RecoverError.NoError);
    }

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

interface IVeArtProxy {
    function _tokenURI(uint _tokenId, uint _balanceOf, uint _locked_end, uint _value) external pure returns (string memory output);
}

// SPDX-License-Identifier: GPL-3.0
pragma solidity 0.8.13;

import {ERC721EnumerableUpgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC721/extensions/ERC721EnumerableUpgradeable.sol";
import {IERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";
import {SafeERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/utils/SafeERC20Upgradeable.sol";
/// @dev Official ERC-5725 interface
import {IERC5725Upgradeable, IERC165Upgradeable} from "./IERC5725Upgradeable.sol";
import {IERC721Errors} from "../interfaces/IERC721Errors.sol";
import {Initializable} from "@openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol";

abstract contract ERC5725Upgradeable is
    Initializable,
    IERC5725Upgradeable,
    ERC721EnumerableUpgradeable,
    IERC721Errors
{
    using SafeERC20Upgradeable for IERC20Upgradeable;

    /// @dev mapping for claimed payouts
    mapping(uint256 => uint256) /*tokenId*/ /*claimed*/ internal _payoutClaimed;

    /// @dev Mapping from token ID to approved tokenId operator
    mapping(uint256 => address) private _tokenIdApprovals;

    /// @dev Mapping from owner to operator approvals
    mapping(address => mapping(address => bool)) /* owner */ /*(operator, isApproved)*/ internal _operatorApprovals;

    /// @dev Reserved storage space to allow for layout changes in the future.
    uint256[50] private __gap;

    constructor() {
        /// @dev Disable the initializers for implementation contracts to ensure that the contract is not left uninitialized.
        _disableInitializers();
    }

    function __ERC5725_init(string memory name_, string memory symbol_) internal initializer {
        __ERC721_init(name_, symbol_);
        /// @dev Currently this call does nothing, but it is left here for future compatibility.
        __ERC721Enumerable_init();
    }

    /**
     * @notice Checks if the tokenId exists and its valid
     * @param tokenId The NFT token id
     */
    modifier validToken(uint256 tokenId) {
        address owner = _ownerOf(tokenId);
        if (owner == address(0)) {
            revert ERC721NonexistentToken(tokenId);
        }
        _;
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function claim(uint256 tokenId) external virtual override(IERC5725Upgradeable);

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function setClaimApprovalForAll(address operator, bool approved) external override(IERC5725Upgradeable) {
        _setClaimApprovalForAll(operator, approved);
        emit ClaimApprovalForAll(msg.sender, operator, approved);
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function setClaimApproval(
        address operator,
        bool approved,
        uint256 tokenId
    ) external override(IERC5725Upgradeable) validToken(tokenId) {
        _setClaimApproval(operator, tokenId);
        emit ClaimApproval(msg.sender, operator, tokenId, approved);
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function vestedPayout(uint256 tokenId) public view override(IERC5725Upgradeable) returns (uint256 payout) {
        return vestedPayoutAtTime(tokenId, block.timestamp);
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function vestedPayoutAtTime(
        uint256 tokenId,
        uint256 timestamp
    ) public view virtual override(IERC5725Upgradeable) returns (uint256 payout);

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function vestingPayout(
        uint256 tokenId
    ) public view override(IERC5725Upgradeable) validToken(tokenId) returns (uint256 payout) {
        return _payout(tokenId) - vestedPayout(tokenId);
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function claimablePayout(
        uint256 tokenId
    ) public view override(IERC5725Upgradeable) validToken(tokenId) returns (uint256 payout) {
        return vestedPayout(tokenId) - _payoutClaimed[tokenId];
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function claimedPayout(
        uint256 tokenId
    ) public view override(IERC5725Upgradeable) validToken(tokenId) returns (uint256 payout) {
        return _payoutClaimed[tokenId];
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function vestingPeriod(
        uint256 tokenId
    ) public view override(IERC5725Upgradeable) validToken(tokenId) returns (uint256 vestingStart, uint256 vestingEnd) {
        return (_startTime(tokenId), _endTime(tokenId));
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function payoutToken(uint256 tokenId) public view override(IERC5725Upgradeable) validToken(tokenId) returns (address token) {
        return _payoutToken(tokenId);
    }

    /**
     * @dev See {IERC165-supportsInterface}.
     * IERC5725Upgradeable interfaceId = 0xbd3a202b
     */
    function supportsInterface(
        bytes4 interfaceId
    ) public view virtual override(ERC721EnumerableUpgradeable, IERC165Upgradeable) returns (bool supported) {
        return interfaceId == type(IERC5725Upgradeable).interfaceId || super.supportsInterface(interfaceId);
    }

    /**
     * @dev See {IERC5725Upgradeable}.
     */
    function getClaimApproved(uint256 tokenId) public view returns (address operator) {
        return _tokenIdApprovals[tokenId];
    }

    /**
     * @dev Returns true if `owner` has set `operator` to manage all `tokenId`s.
     * @param owner The owner allowing `operator` to manage all `tokenId`s.
     * @param operator The address who is given permission to spend tokens on behalf of the `owner`.
     */
    function isClaimApprovedForAll(address owner, address operator) public view returns (bool isClaimApproved) {
        return _operatorApprovals[owner][operator];
    }

    /**
     * @dev Public view which returns true if the operator has permission to claim for `tokenId`
     * @notice To remove permissions, set operator to zero address.
     *
     * @param operator The address that has permission for a `tokenId`.
     * @param tokenId The NFT `tokenId`.
     */
    function isApprovedClaimOrOwner(address operator, uint256 tokenId) public view virtual returns (bool) {
        address owner = ownerOf(tokenId);
        return (operator == owner || isClaimApprovedForAll(owner, operator) || getClaimApproved(tokenId) == operator);
    }

    /**
     * @dev Internal function to set the operator status for a given owner to manage all `tokenId`s.
     * @notice To remove permissions, set approved to false.
     *
     * @param operator The address who is given permission to spend vested tokens.
     * @param approved The approved status.
     */
    function _setClaimApprovalForAll(address operator, bool approved) internal virtual {
        _operatorApprovals[msg.sender][operator] = approved;
    }

    /**
     * @dev Internal function to set the operator status for a given tokenId.
     * @notice To remove permissions, set operator to zero address.
     *
     * @param operator The address who is given permission to spend vested tokens.
     * @param tokenId The NFT `tokenId`.
     */
    function _setClaimApproval(address operator, uint256 tokenId) internal virtual {
        if (ownerOf(tokenId) != msg.sender) revert ERC721IncorrectOwner(msg.sender, tokenId, ownerOf(tokenId));
        _tokenIdApprovals[tokenId] = operator;
    }

    /**
     * @dev See {IERC721-_beforeTokenTransfer}.
     * Clears the approval of a given `tokenId` when the token is transferred or burned.
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 firstTokenId,
        uint256 batchSize
    ) internal virtual override {
        super._beforeTokenTransfer(from, to, firstTokenId, batchSize);
        for (uint256 i = 0; i < batchSize; i++) {
            uint256 tokenId = firstTokenId + i;
            if (from != address(0) || from != to) {
                delete _tokenIdApprovals[tokenId];
            }
        }
    }

    /**
     * @dev Internal function to get the payout token of a given vesting NFT
     *
     * @param tokenId on which to check the payout token address
     * @return address payout token address
     */
    function _payoutToken(uint256 tokenId) internal view virtual returns (address);

    /**
     * @dev Internal function to get the total payout of a given vesting NFT.
     * @dev This is the total that will be paid out to the NFT owner, including historical tokens.
     *
     * @param tokenId to check
     * @return uint256 the total payout of a given vesting NFT
     */
    function _payout(uint256 tokenId) internal view virtual returns (uint256);

    /**
     * @dev Internal function to get the start time of a given vesting NFT
     *
     * @param tokenId to check
     * @return uint256 the start time in epoch timestamp
     */
    function _startTime(uint256 tokenId) internal view virtual returns (uint256);

    /**
     * @dev Internal function to get the end time of a given vesting NFT
     *
     * @param tokenId to check
     * @return uint256 the end time in epoch timestamp
     */
    function _endTime(uint256 tokenId) internal view virtual returns (uint256);

    /**
     * @dev Checks if an address is authorized to manage the given token ID.
     * Used to verify if an address has the necessary permissions to execute actions on behalf of the token owner.
     *
     * @param owner the owner of the token
     * @param spender the address attempting to act on the token
     * @param tokenId the token ID to check for authorization
     * @return bool true if the spender is authorized, false otherwise
     */

    function _isAuthorized(address owner, address spender, uint256 tokenId) internal view virtual returns (bool) {
        return
            spender != address(0) &&
            (owner == spender || isApprovedForAll(owner, spender) || getApproved(tokenId) == spender);
    }
}

// SPDX-License-Identifier: CC0-1.0
pragma solidity ^0.8.0;
import "@openzeppelin/contracts-upgradeable/token/ERC721/IERC721Upgradeable.sol";
/**
 * @title Non-Fungible Vesting Token Standard.
 * @notice A non-fungible token standard used to vest ERC-20 tokens over a vesting release curve
 *  scheduled using timestamps.
 * @dev Because this standard relies on timestamps for the vesting schedule, it's important to keep track of the
 *  tokens claimed per Vesting NFT so that a user cannot withdraw more tokens than allotted for a specific Vesting NFT.
 * @custom:interface-id 0xbd3a202b
 */
interface IERC5725Upgradeable is IERC721Upgradeable {
    /**
     *  This event is emitted when the payout is claimed through the claim function.
     *  @param tokenId the NFT tokenId of the assets being claimed.
     *  @param recipient The address which is receiving the payout.
     *  @param claimAmount The amount of tokens being claimed.
     */
    event PayoutClaimed(uint256 indexed tokenId, address indexed recipient, uint256 claimAmount);

    /**
     *  This event is emitted when an `owner` sets an address to manage token claims for all tokens.
     *  @param owner The address setting a manager to manage all tokens.
     *  @param spender The address being permitted to manage all tokens.
     *  @param approved A boolean indicating whether the spender is approved to claim for all tokens.
     */
    event ClaimApprovalForAll(address indexed owner, address indexed spender, bool approved);

    /**
     *  This event is emitted when an `owner` sets an address to manage token claims for a `tokenId`.
     *  @param owner The `owner` of `tokenId`.
     *  @param spender The address being permitted to manage a tokenId.
     *  @param tokenId The unique identifier of the token being managed.
     *  @param approved A boolean indicating whether the spender is approved to claim for `tokenId`.
     */
    event ClaimApproval(address indexed owner, address indexed spender, uint256 indexed tokenId, bool approved);

    /**
     * @notice Claim the pending payout for the NFT.
     * @dev MUST grant the claimablePayout value at the time of claim being called to `msg.sender`.
     *  MUST revert if not called by the token owner or approved users.
     *  MUST emit PayoutClaimed.
     *  SHOULD revert if there is nothing to claim.
     * @param tokenId The NFT token id.
     */
    function claim(uint256 tokenId) external;

    /**
     * @notice Number of tokens for the NFT which have been claimed at the current timestamp.
     * @param tokenId The NFT token id.
     * @return payout The total amount of payout tokens claimed for this NFT.
     */
    function claimedPayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice Number of tokens for the NFT which can be claimed at the current timestamp.
     * @dev It is RECOMMENDED that this is calculated as the `vestedPayout()` subtracted from `payoutClaimed()`.
     * @param tokenId The NFT token id.
     * @return payout The amount of unlocked payout tokens for the NFT which have not yet been claimed.
     */
    function claimablePayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice Total amount of tokens which have been vested at the current timestamp.
     *  This number also includes vested tokens which have been claimed.
     * @dev It is RECOMMENDED that this function calls `vestedPayoutAtTime`
     *  with `block.timestamp` as the `timestamp` parameter.
     * @param tokenId The NFT token id.
     * @return payout Total amount of tokens which have been vested at the current timestamp.
     */
    function vestedPayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice Total amount of vested tokens at the provided timestamp.
     *  This number also includes vested tokens which have been claimed.
     * @dev `timestamp` MAY be both in the future and in the past.
     *  Zero MUST be returned if the timestamp is before the token was minted.
     * @param tokenId The NFT token id.
     * @param timestamp The timestamp to check on, can be both in the past and the future.
     * @return payout Total amount of tokens which have been vested at the provided timestamp.
     */
    function vestedPayoutAtTime(uint256 tokenId, uint256 timestamp) external view returns (uint256 payout);

    /**
     * @notice Number of tokens for an NFT which are currently vesting.
     * @dev The sum of vestedPayout and vestingPayout SHOULD always be the total payout.
     * @param tokenId The NFT token id.
     * @return payout The number of tokens for the NFT which are vesting until a future date.
     */
    function vestingPayout(uint256 tokenId) external view returns (uint256 payout);

    /**
     * @notice The start and end timestamps for the vesting of the provided NFT.
     *  MUST return the timestamp where no further increase in vestedPayout occurs for `vestingEnd`.
     * @param tokenId The NFT token id.
     * @return vestingStart The beginning of the vesting as a unix timestamp.
     * @return vestingEnd The ending of the vesting as a unix timestamp.
     */
    function vestingPeriod(uint256 tokenId) external view returns (uint256 vestingStart, uint256 vestingEnd);

    /**
     * @notice Token which is used to pay out the vesting claims.
     * @param tokenId The NFT token id.
     * @return token The token which is used to pay out the vesting claims.
     */
    function payoutToken(uint256 tokenId) external view returns (address token);

    /**
     * @notice Sets a global `operator` with permission to manage all tokens owned by the current `msg.sender`.
     * @param operator The address to let manage all tokens.
     * @param approved A boolean indicating whether the spender is approved to claim for all tokens.
     */
    function setClaimApprovalForAll(address operator, bool approved) external;

    /**
     * @notice Sets a tokenId `operator` with permission to manage a single `tokenId` owned by the `msg.sender`.
     * @param operator The address to let manage a single `tokenId`.
     * @param tokenId the `tokenId` to be managed.
     * @param approved A boolean indicating whether the spender is approved to claim for all tokens.
     */
    function setClaimApproval(address operator, bool approved, uint256 tokenId) external;

    /**
     * @notice Returns true if `owner` has set `operator` to manage all `tokenId`s.
     * @param owner The owner allowing `operator` to manage all `tokenId`s.
     * @param operator The address who is given permission to spend tokens on behalf of the `owner`.
     */
    function isClaimApprovedForAll(address owner, address operator) external view returns (bool isClaimApproved);

    /**
     * @notice Returns the operating address for a `tokenId`.
     *  If `tokenId` is not managed, then returns the zero address.
     * @param tokenId The NFT `tokenId` to query for a `tokenId` manager.
     */
    function getClaimApproved(uint256 tokenId) external view returns (address operator);
}

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

/**
 * @dev Standard ERC-721 Errors
 * @notice This update is included in openzeppelin/[email protected], but not in openzeppelin/[email protected]
 * Interface of the https://eips.ethereum.org/EIPS/eip-6093[ERC-6093] custom errors for ERC-721 tokens.
 * @custom:source https://github.com/OpenZeppelin/openzeppelin-contracts/blob/...
 *   0b343abcb5cecc42c40b95565cb7f5affb542727/contracts/interfaces/draft-IERC6093.sol#L55
 */
interface IERC721Errors {
    /**
     * @dev Indicates that an address can't be an owner. For example, `address(0)` is a forbidden owner in ERC-20.
     * Used in balance queries.
     * @param owner Address of the current owner of a token.
     */
    error ERC721InvalidOwner(address owner);

    /**
     * @dev Indicates a `tokenId` whose `owner` is the zero address.
     * @param tokenId Identifier number of a token.
     */
    error ERC721NonexistentToken(uint256 tokenId);

    /**
     * @dev Indicates an error related to the ownership over a particular token. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     * @param tokenId Identifier number of a token.
     * @param owner Address of the current owner of a token.
     */
    error ERC721IncorrectOwner(address sender, uint256 tokenId, address owner);

    /**
     * @dev Indicates a failure with the token `sender`. Used in transfers.
     * @param sender Address whose tokens are being transferred.
     */
    error ERC721InvalidSender(address sender);

    /**
     * @dev Indicates a failure with the token `receiver`. Used in transfers.
     * @param receiver Address to which tokens are being transferred.
     */
    error ERC721InvalidReceiver(address receiver);

    /**
     * @dev Indicates a failure with the `operator`’s approval. Used in transfers.
     * @param operator Address that may be allowed to operate on tokens without being their owner.
     * @param tokenId Identifier number of a token.
     */
    error ERC721InsufficientApproval(address operator, uint256 tokenId);

    /**
     * @dev Indicates a failure with the `approver` of a token to be approved. Used in approvals.
     * @param approver Address initiating an approval operation.
     */
    error ERC721InvalidApprover(address approver);

    /**
     * @dev Indicates a failure with the `operator` to be approved. Used in approvals.
     * @param operator Address that may be allowed to operate on tokens without being their owner.
     */
    error ERC721InvalidOperator(address operator);
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

import {IVotes} from "@openzeppelin/contracts/governance/utils/IVotes.sol";
import {Checkpoints} from "../libraries/Checkpoints.sol";
import {IERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";
import {IERC721EnumerableUpgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC721/extensions/IERC721EnumerableUpgradeable.sol";
interface IVotingEscrowV2Upgradeable is IVotes, IERC721EnumerableUpgradeable {
    struct LockDetails {
        uint256 amount; /// @dev amount of tokens locked
        uint256 startTime; /// @dev when locking started
        uint256 endTime; /// @dev when locking ends
        bool isPermanent; /// @dev if its a permanent lock
    }

    /// -----------------------------------------------------------------------
    /// Events
    /// -----------------------------------------------------------------------

    event SupplyUpdated(uint256 oldSupply, uint256 newSupply);
    /// @notice Lock events
    event LockCreated(uint256 indexed tokenId, address indexed to, uint256 value, uint256 unlockTime, bool isPermanent);
    event LockUpdated(uint256 indexed tokenId, uint256 value, uint256 unlockTime, bool isPermanent);
    event LockMerged(
        uint256 indexed fromTokenId,
        uint256 indexed toTokenId,
        uint256 totalValue,
        uint256 unlockTime,
        bool isPermanent
    );
    event LockSplit(uint256[] splitWeights, uint256 indexed _tokenId);
    event LockDurationExtended(uint256 indexed tokenId, uint256 newUnlockTime, bool isPermanent);
    event LockAmountIncreased(uint256 indexed tokenId, uint256 value);
    event UnlockPermanent(uint256 indexed tokenId, address indexed sender, uint256 unlockTime);
    /// @notice Delegate events
    event LockDelegateChanged(
        uint256 indexed tokenId,
        address indexed delegator,
        address fromDelegate,
        address indexed toDelegate
    );

    /// -----------------------------------------------------------------------
    /// Errors
    /// -----------------------------------------------------------------------

    error AlreadyVoted();
    error InvalidNonce();
    error InvalidDelegatee();
    error InvalidSignature();
    error InvalidSignatureS();
    error InvalidWeights();
    error LockDurationNotInFuture();
    error LockDurationTooLong();
    error LockExpired();
    error LockNotExpired();
    error NoLockFound();
    error NotPermanentLock();
    error PermanentLock();
    error PermanentLockMismatch();
    error SameNFT();
    error SignatureExpired();
    error ZeroAmount();
    error LockHoldsValue();
    error NotLockOwner();

    function supply() external view returns (uint);

    function token() external view returns (IERC20Upgradeable);

    function balanceOfNFT(uint256 _tokenId) external view returns (uint256);
    function balanceOfNFTAt(uint256 _tokenId, uint256 _timestamp) external view returns (uint256);

    function delegates(uint256 tokenId, uint48 timestamp) external view returns (address);

    function lockDetails(uint256 tokenId) external view returns (LockDetails calldata);

    function isApprovedOrOwner(address user, uint tokenId) external view returns (bool);

    function getPastEscrowPoint(
        uint256 _tokenId,
        uint256 _timePoint
    ) external view returns (Checkpoints.Point memory, uint48);

    function getFirstEscrowPoint(uint256 _tokenId) external view returns (Checkpoints.Point memory, uint48);

    function checkpoint() external;

    function increaseAmount(uint256 _tokenId, uint256 _value) external;

    function createLockFor(
        uint256 _value,
        uint256 _lockDuration,
        address _to,
        bool _permanent
    ) external returns (uint256);

    function createDelegatedLockFor(
        uint256 _value,
        uint256 _lockDuration,
        address _to,
        address _delegatee,
        bool _permanent
    ) external returns (uint256);

    function split(uint256[] memory _weights, uint256 _tokenId) external;

    function merge(uint256 _from, uint256 _to) external;

    function burn(uint256 _tokenId) external;

    function decimals() external view returns (uint8);
}

// SPDX-License-Identifier: MIT
// This file was derived from OpenZeppelin Contracts (last updated v5.0.0) (utils/structs/Checkpoints.sol)

pragma solidity 0.8.13;

import {Math} from "@openzeppelin/contracts/utils/math/Math.sol";

/**
 * @dev This library defines the `Trace*` struct, for checkpointing values as they change at different points in
 * time, and later looking up past values by block number. See {Votes} as an example.
 *
 * To create a history of checkpoints define a variable type `Checkpoints.Trace*` in your contract, and store a new
 * checkpoint for the current transaction block using the {push} function.
 */
library Checkpoints {
    struct Trace {
        Checkpoint[] _checkpoints;
    }

    /**
     * @dev Struct to keep track of the voting power over time.
     */
    struct Point {
        /// @dev The voting power at a specific time
        /// - MUST never be negative.
        int128 bias;
        /// @dev The rate at which the voting power decreases over time.
        int128 slope;
        /// @dev The value of tokens which do not decrease over time, representing permanent voting power
        /// - MUST never be negative.
        int128 permanent;
    }

    struct Checkpoint {
        uint48 _key;
        Point _value;
    }

    /**
     * @dev A value was attempted to be inserted on a past checkpoint.
     */
    error CheckpointUnorderedInsertions();

    /**
     * @dev Pushes a (`key`, `value`) pair into a Trace so that it is stored as the checkpoint.
     *
     * Returns previous value and new value.
     *
     * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint48).max` key set will disable the
     * library.
     */
    function push(Trace storage self, uint48 key, Point memory value) internal returns (Point memory, Point memory) {
        return _insert(self._checkpoints, key, value);
    }

    /**
     * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
     * there is none.
     */
    function lowerLookup(Trace storage self, uint48 key) internal view returns (Point memory) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
        return pos == len ? blankPoint() : _unsafeAccess(self._checkpoints, pos)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
     * if there is none.
     */
    function upperLookup(
        Trace storage self,
        uint48 key
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);

        exists = pos != 0;
        _value = exists ? _unsafeAccess(self._checkpoints, pos - 1)._value : blankPoint();
        _key = exists ? _unsafeAccess(self._checkpoints, pos - 1)._key : 0;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
     * if there is none.
     *
     * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
     * keys).
     */
    function upperLookupRecent(
        Trace storage self,
        uint48 key
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

        if (len > 5) {
            uint256 mid = len - Math.sqrt(len);
            if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }

        uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);

        exists = pos != 0;
        _value = exists ? _unsafeAccess(self._checkpoints, pos - 1)._value : blankPoint();
        _key = exists ? _unsafeAccess(self._checkpoints, pos - 1)._key : 0;
    }

    /**
     * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
     */
    function latest(Trace storage self) internal view returns (Point memory) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? blankPoint() : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
     * in the most recent checkpoint.
     */
    function latestCheckpoint(
        Trace storage self
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, blankPoint());
        } else {
            Checkpoint memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._key, ckpt._value);
        }
    }

    /**
     * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
     * in the most recent checkpoint.
     */
    function firstCheckpoint(
        Trace storage self
    ) internal view returns (bool exists, uint48 _key, Point memory _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, blankPoint());
        } else {
            Checkpoint memory ckpt = _unsafeAccess(self._checkpoints, 0);
            return (true, ckpt._key, ckpt._value);
        }
    }

    /**
     * @dev Returns the number of checkpoint.
     */
    function length(Trace storage self) internal view returns (uint256) {
        return self._checkpoints.length;
    }

    /**
     * @dev Returns checkpoint at given position.
     */
    function at(Trace storage self, uint48 pos) internal view returns (Checkpoint memory) {
        return self._checkpoints[pos];
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
     * or by updating the last one.
     */
    function _insert(
        Checkpoint[] storage self,
        uint48 key,
        Point memory value
    ) private returns (Point memory, Point memory) {
        uint256 pos = self.length;

        if (pos > 0) {
            // Copying to memory is important here.
            Checkpoint memory last = _unsafeAccess(self, pos - 1);

            // Checkpoint keys must be non-decreasing.
            if (last._key > key) {
                revert CheckpointUnorderedInsertions();
            }

            // Update or push new checkpoint
            if (last._key == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(Checkpoint({_key: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(Checkpoint({_key: key, _value: value}));
            return (blankPoint(), value);
        }
    }

    /**
     * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high`
     * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
     * `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _upperBinaryLookup(
        Checkpoint[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.average(low, high);
            if (_unsafeAccess(self, mid)._key > key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return high;
    }

    /**
     * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or
     * `high` if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and
     * exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _lowerBinaryLookup(
        Checkpoint[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.average(low, high);
            if (_unsafeAccess(self, mid)._key < key) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return high;
    }

    /**
     * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
     */
    function _unsafeAccess(Checkpoint[] storage self, uint256 pos) private view returns (Checkpoint storage result) {
        return self[pos];
    }

    /**
     * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
     */
    function _realUnsafeAccess(
        Checkpoint[] storage self,
        uint256 pos
    ) private pure returns (Checkpoint storage result) {
        assembly {
            mstore(0, self.slot)
            result.slot := add(keccak256(0, 0x20), pos)
        }
    }

    function blankPoint() internal pure returns (Point memory) {
        return Point({bias: 0, slope: 0, permanent: 0});
    }

    struct TraceAddress {
        CheckpointAddress[] _checkpoints;
    }

    struct CheckpointAddress {
        uint48 _key;
        address _value;
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into a TraceAddress so that it is stored as the checkpoint.
     *
     * Returns previous value and new value.
     *
     * IMPORTANT: Never accept `key` as a user input, since an arbitrary `type(uint48).max` key set will disable the
     * library.
     */
    function push(TraceAddress storage self, uint48 key, address value) internal returns (address, address) {
        return _insert(self._checkpoints, key, value);
    }

    /**
     * @dev Returns the value in the first (oldest) checkpoint with key greater or equal than the search key, or zero if
     * there is none.
     */
    function lowerLookup(TraceAddress storage self, uint48 key) internal view returns (address) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _lowerBinaryLookup(self._checkpoints, key, 0, len);
        return pos == len ? address(0) : _unsafeAccess(self._checkpoints, pos)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
     * if there is none.
     */
    function upperLookup(TraceAddress storage self, uint48 key) internal view returns (address) {
        uint256 len = self._checkpoints.length;
        uint256 pos = _upperBinaryLookup(self._checkpoints, key, 0, len);
        return pos == 0 ? address(0) : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value in the last (most recent) checkpoint with key lower or equal than the search key, or zero
     * if there is none.
     *
     * NOTE: This is a variant of {upperLookup} that is optimised to find "recent" checkpoint (checkpoints with high
     * keys).
     */
    function upperLookupRecent(TraceAddress storage self, uint48 key) internal view returns (address) {
        uint256 len = self._checkpoints.length;

        uint256 low = 0;
        uint256 high = len;

        if (len > 5) {
            uint256 mid = len - Math.sqrt(len);
            if (key < _unsafeAccess(self._checkpoints, mid)._key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }

        uint256 pos = _upperBinaryLookup(self._checkpoints, key, low, high);

        return pos == 0 ? address(0) : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns the value in the most recent checkpoint, or zero if there are no checkpoints.
     */
    function latest(TraceAddress storage self) internal view returns (address) {
        uint256 pos = self._checkpoints.length;
        return pos == 0 ? address(0) : _unsafeAccess(self._checkpoints, pos - 1)._value;
    }

    /**
     * @dev Returns whether there is a checkpoint in the structure (i.e. it is not empty), and if so the key and value
     * in the most recent checkpoint.
     */
    function latestCheckpoint(
        TraceAddress storage self
    ) internal view returns (bool exists, uint48 _key, address _value) {
        uint256 pos = self._checkpoints.length;
        if (pos == 0) {
            return (false, 0, address(0));
        } else {
            CheckpointAddress memory ckpt = _unsafeAccess(self._checkpoints, pos - 1);
            return (true, ckpt._key, ckpt._value);
        }
    }

    /**
     * @dev Returns the number of checkpoint.
     */
    function length(TraceAddress storage self) internal view returns (uint256) {
        return self._checkpoints.length;
    }

    /**
     * @dev Returns checkpoint at given position.
     */
    function at(TraceAddress storage self, uint48 pos) internal view returns (CheckpointAddress memory) {
        return self._checkpoints[pos];
    }

    /**
     * @dev Pushes a (`key`, `value`) pair into an ordered list of checkpoints, either by inserting a new checkpoint,
     * or by updating the last one.
     */
    function _insert(CheckpointAddress[] storage self, uint48 key, address value) private returns (address, address) {
        uint256 pos = self.length;

        if (pos > 0) {
            // Copying to memory is important here.
            CheckpointAddress memory last = _unsafeAccess(self, pos - 1);

            // Checkpoint keys must be non-decreasing.
            if (last._key > key) {
                revert CheckpointUnorderedInsertions();
            }

            // Update or push new checkpoint
            if (last._key == key) {
                _unsafeAccess(self, pos - 1)._value = value;
            } else {
                self.push(CheckpointAddress({_key: key, _value: value}));
            }
            return (last._value, value);
        } else {
            self.push(CheckpointAddress({_key: key, _value: value}));
            return (address(0), value);
        }
    }

    /**
     * @dev Return the index of the last (most recent) checkpoint with key lower or equal than the search key, or `high`
     * if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and exclusive
     * `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _upperBinaryLookup(
        CheckpointAddress[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.average(low, high);
            if (_unsafeAccess(self, mid)._key > key) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return high;
    }

    /**
     * @dev Return the index of the first (oldest) checkpoint with key is greater or equal than the search key, or
     * `high` if there is none. `low` and `high` define a section where to do the search, with inclusive `low` and
     * exclusive `high`.
     *
     * WARNING: `high` should not be greater than the array's length.
     */
    function _lowerBinaryLookup(
        CheckpointAddress[] storage self,
        uint48 key,
        uint256 low,
        uint256 high
    ) private view returns (uint256) {
        while (low < high) {
            uint256 mid = Math.average(low, high);
            if (_unsafeAccess(self, mid)._key < key) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return high;
    }

    /**
     * @dev Access an element of the array without performing bounds check. The position is assumed to be within bounds.
     */
    function _unsafeAccess(
        CheckpointAddress[] storage self,
        uint256 pos
    ) private pure returns (CheckpointAddress storage result) {
        assembly {
            mstore(0, self.slot)
            result.slot := add(keccak256(0, 0x20), pos)
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

import {SafeCastLibrary} from "../libraries/SafeCastLibrary.sol";
import {Checkpoints} from "../libraries/Checkpoints.sol";
import {Time} from "../libraries/Time.sol";

/**
 * @title CheckPointSystem
 * @dev This contract is used to manage checkpoints in the system.
 */
library EscrowDelegateCheckpoints {
    using Checkpoints for Checkpoints.Trace;
    using Checkpoints for Checkpoints.TraceAddress;
    using SafeCastLibrary for int128;
    using SafeCastLibrary for uint256;

    /// @notice Maximum time for a checkpoint
    int128 public constant MAX_TIME = 2 * 365 * 86400;
    /// @notice Unit of time for the clock
    uint48 public constant CLOCK_UNIT = 7 days;

    struct EscrowDelegateStore {
        /// @notice Global checkpoints
        Checkpoints.Trace _globalCheckpoints;
        /// @notice Mapping of global slope changes
        /// @dev Intended to be exposed with a getter
        mapping(uint256 => int128) globalSlopeChanges;
        /// @notice escrow lock checkpoints
        mapping(uint256 => Checkpoints.Trace) _escrowCheckpoints;
        /// @notice Delegate checkpoints
        mapping(address => Checkpoints.Trace) _delegateCheckpoints;
        /// @notice escrow lock to delegatee mapping
        mapping(uint256 => Checkpoints.TraceAddress) _escrowDelegateeAddress;
        /// @notice Delegatee slope changes
        /// @dev Intended to be exposed with a getter
        mapping(address => mapping(uint256 => int128)) delegateeSlopeChanges;
    }

    event CheckpointGlobal(uint48 timestamp, int128 slope, int128 bias, int128 permanent);
    event CheckpointDelegate(address delegatee, uint48 timestamp, int128 slope, int128 bias, int128 permanent);
    event CheckpointEscrow(uint256 escrowId, uint48 timestamp, int128 slope, int128 bias, int128 permanent);

    /**
     * @notice Clock used for flagging checkpoints.
     * @return Current timestamp
     */
    function clock() public view returns (uint48) {
        return Time.timestamp();
    }

    /**
     * @notice Clock used for flagging global checkpoints.
     * @return Current timestamp rounded to the nearest clock unit
     */
    function globalClock() public view returns (uint48) {
        return toGlobalClock(Time.timestamp());
    }

    /**
     * @notice Converts a timestamp to a global clock value.
     * @param timestamp The timestamp to convert
     * @return The converted global clock value
     */
    function toGlobalClock(uint256 timestamp) internal pure returns (uint48) {
        return uint48((timestamp / CLOCK_UNIT) * CLOCK_UNIT);
    }

    /**
     * @dev Record global and per-escrow data to checkpoints. Used by VotingEscrow system.
     * @param store_ The EscrowDelegateStore struct containing all the storage mappings.
     * @param escrowId NFT escrow lock ID. No escrow checkpoint if 0
     * @param uOldAmount Locked amount from last checkpoint
     * @param uNewAmount Locked amount from current checkpoint
     * @param uOldEndTime Last checkpoint time
     * @param uNewEndTime Current checkpoint time
     */
    function checkpoint(
        EscrowDelegateStore storage store_,
        uint256 escrowId,
        int128 uOldAmount,
        int128 uNewAmount,
        uint256 uOldEndTime,
        uint256 uNewEndTime
    ) external {
        int128 oldDslope = 0;
        int128 newDslope = 0;
        Checkpoints.Point memory uOldPoint = Checkpoints.blankPoint();
        Checkpoints.Point memory uNewPoint = Checkpoints.blankPoint();
        /// @notice if this is not rounded to CLOCK_UNIT
        /// the system will not be able to go too long without checkpoints
        uNewEndTime = toGlobalClock(uNewEndTime);
        if (escrowId != 0) {
            // Calculate slopes and biases
            // Kept at zero when they have to
            uNewPoint.permanent = uNewEndTime == 0 ? uNewAmount : int128(0);
            uOldPoint.permanent = uOldEndTime == 0 ? uOldAmount : int128(0);
            if (uOldEndTime > block.timestamp && uOldAmount > 0) {
                /// @dev  Calculate the slope based on the older checkpoint amount
                uOldPoint.slope = (uOldAmount) / MAX_TIME;
                uOldPoint.bias = (uOldPoint.slope * (uOldEndTime - block.timestamp).toInt128());
            }
            if (uNewEndTime > block.timestamp && uNewAmount > 0) {
                uNewPoint.slope = (uNewAmount) / MAX_TIME;
                uNewPoint.bias = (uNewPoint.slope * (uNewEndTime - block.timestamp).toInt128());
            }
            oldDslope = store_.globalSlopeChanges[uOldEndTime];
            if (uNewEndTime != 0) {
                if (uNewEndTime == uOldEndTime) {
                    newDslope = oldDslope;
                } else {
                    newDslope = store_.globalSlopeChanges[uNewEndTime];
                }
            }

            // Schedule the slope changes (slope is going down)
            // We subtract new escrow slope from [_newLocked.endTime]
            // and add old_escrow_slope to [_oldLocked.end]
            if (uOldEndTime > block.timestamp) {
                // oldDslope was <something> - uOld.slope, so we cancel that
                oldDslope += uOldPoint.slope;
                if (uOldEndTime == uNewEndTime) {
                    oldDslope -= uNewPoint.slope; // It was a new deposit, not extension
                }
                store_.globalSlopeChanges[uOldEndTime] = oldDslope;
            }

            if (uNewEndTime > block.timestamp) {
                // update slope if new lock is greater than old lock and is not permanent or if old lock is permanent
                if ((uNewEndTime > uOldEndTime)) {
                    newDslope -= uNewPoint.slope; // old slope disappeared at this point
                    store_.globalSlopeChanges[uNewEndTime] = newDslope;
                }
                // else: we recorded it already in oldDslope
            }
            /// @dev Add the new point to the escrowId Checkpoints.Trace
            _pushPointAtClock(store_._escrowCheckpoints[escrowId], uNewPoint);
            emit CheckpointEscrow(escrowId, clock(), uNewPoint.slope, uNewPoint.bias, uNewPoint.permanent);

            (, uint48 delegateTs, address delegateeAddress) = store_
                ._escrowDelegateeAddress[escrowId]
                .latestCheckpoint();

            if (delegateTs != 0) {
                /// @notice this can likely be handled more efficiently
                _checkpointDelegatee(store_, delegateeAddress, uOldPoint, uOldEndTime, false);
                _checkpointDelegatee(store_, delegateeAddress, uNewPoint, uNewEndTime, true);
            }
        }
        /// @dev If escrowId is 0,  this  will still create a global checkpoint
        globalCheckpoint(store_, escrowId, uOldPoint, uNewPoint);
    }

    /**
     * @dev Function to update global checkpoint
     */
    function globalCheckpoint(EscrowDelegateStore storage store_) external {
        globalCheckpoint(store_, 0, Checkpoints.blankPoint(), Checkpoints.blankPoint());
    }

    /**
     * @dev Function to update global checkpoint with new points
     * @param escrowId The ID of the escrow lock
     * - If
     * @param uOldPoint The old point to be updated
     * @param uNewPoint The new point to be updated
     */
    function globalCheckpoint(
        EscrowDelegateStore storage store_,
        uint256 escrowId,
        Checkpoints.Point memory uOldPoint,
        Checkpoints.Point memory uNewPoint
    ) public {
        (, uint48 lastPoint, Checkpoints.Point memory lastGlobal) = store_._globalCheckpoints.latestCheckpoint();
        uint48 lastCheckpoint = lastPoint != 0 ? lastPoint : uint48(block.timestamp);

        {
            // Go over weeks to fill history and calculate what the current point is
            uint48 testTime = toGlobalClock(lastCheckpoint); /// @dev  lastCheckpoint > tesTime
            uint256 maxTime = testTime + MAX_TIME.toUint256();

            while (testTime < block.timestamp) {
                testTime += CLOCK_UNIT;
                int128 dSlope = 0;
                if (testTime > block.timestamp) {
                    testTime = block.timestamp.toUint48();
                } else {
                    dSlope = store_.globalSlopeChanges[testTime];
                }
                if (dSlope != 0) {
                    lastGlobal.bias -= lastGlobal.slope * uint256(testTime - lastCheckpoint).toInt128();
                    lastGlobal.slope += dSlope;
                    if (lastGlobal.bias < 0) {
                        lastGlobal.bias = 0;
                    }
                    if (lastGlobal.slope < 0) {
                        lastGlobal.slope = 0;
                    }

                    lastCheckpoint = testTime;
                    store_._globalCheckpoints.push(lastCheckpoint, lastGlobal);
                }
                if (testTime > maxTime) break;
            }
        }

        if (escrowId != 0) {
            lastGlobal.bias = lastGlobal.bias - ((lastGlobal.slope * (block.timestamp - lastCheckpoint).toInt128()));

            lastGlobal.slope += uNewPoint.slope - uOldPoint.slope;
            lastGlobal.bias += uNewPoint.bias - uOldPoint.bias;
            lastGlobal.permanent += uNewPoint.permanent - uOldPoint.permanent;
        } else {
            // Initial value of testTime is always larger than the ts of the last point
            uint256 testTime = block.timestamp;
            lastGlobal.bias -= (lastGlobal.slope * (testTime - lastCheckpoint).toInt128());
        }

        _pushPointAtClock(store_._globalCheckpoints, lastGlobal);
        emit CheckpointGlobal(clock(), lastGlobal.slope, lastGlobal.bias, lastGlobal.permanent);
    }

    /**
     * @dev Function to calculate total voting power at some point in the past
     * @param _delegateeAddress The address of the delegatee
     * @param timestamp Time to calculate the total voting power at
     * @return Total voting power at that time
     */
    function getAdjustedVotes(
        EscrowDelegateStore storage store_,
        address _delegateeAddress,
        uint48 timestamp
    ) external view returns (uint256) {
        Checkpoints.Point memory lastPoint = _getAdjustedVotesCheckpoint(store_, _delegateeAddress, timestamp);
        return (lastPoint.bias + lastPoint.permanent).toUint256();
    }

    /**
     * @dev Function to get delegated votes checkpoint at some point in the past
     * @param _delegateeAddress The address of the delegatee
     * @param timestamp Time to calculate the total voting power at
     * @return Total voting power at that time
     */
    function _getAdjustedVotesCheckpoint(
        EscrowDelegateStore storage store_,
        address _delegateeAddress,
        uint48 timestamp
    ) internal view returns (Checkpoints.Point memory) {
        (bool exists, uint48 lastCheckpointTs, Checkpoints.Point memory lastPoint) = store_
            ._delegateCheckpoints[_delegateeAddress]
            .upperLookupRecent(timestamp);
        if (!exists) return lastPoint;
        uint48 testTime = toGlobalClock(lastCheckpointTs); /// @dev  lastCheckpointTs > tesTime
        uint256 maxTime = testTime + MAX_TIME.toUint256();
        while (testTime < timestamp) {
            testTime += CLOCK_UNIT;
            int128 dSlope = 0;
            if (testTime > timestamp) {
                testTime = timestamp;
            } else {
                dSlope = store_.delegateeSlopeChanges[_delegateeAddress][testTime];
            }
            if (dSlope != 0) {
                lastPoint.bias -= lastPoint.slope * uint256(testTime - lastCheckpointTs).toInt128();
                lastPoint.slope += dSlope;
                if (lastPoint.bias < 0) {
                    lastPoint.bias = 0;
                }
                if (lastPoint.slope < 0) {
                    lastPoint.slope = 0;
                }
                lastCheckpointTs = uint48(testTime);
            }
            if (testTime > maxTime) break;
        }
        int128 change = lastPoint.slope * uint256(timestamp - lastCheckpointTs).toInt128();
        lastPoint.bias = lastPoint.bias < change ? int128(0) : lastPoint.bias - change;

        return lastPoint;
    }

    /**
     * @notice Public function to get the delegatee of an escrow lock
     * @param escrowId The ID of the escrow
     * @return The address of the delegate
     */
    function getEscrowDelegatee(EscrowDelegateStore storage store_, uint256 escrowId) external view returns (address) {
        return getEscrowDelegateeAtTime(store_, escrowId, block.timestamp.toUint48());
    }

    /**
     * @notice Public function to get the delegatee of an escrow lock
     * @param escrowId The ID of the escrow lock
     * @param timestamp The timestamp to get the delegate at
     * @return The address of the delegate
     */
    function getEscrowDelegateeAtTime(
        EscrowDelegateStore storage store_,
        uint256 escrowId,
        uint48 timestamp
    ) public view returns (address) {
        return store_._escrowDelegateeAddress[escrowId].upperLookupRecent(timestamp);
    }

    /**
     * @dev Function to record escrow delegation checkpoints. Used by voting system.
     * @param escrowId The ID of the escrow lock
     * @param delegatee The address of the delegatee
     * @param endTime The end time of the delegation
     */
    function delegate(
        EscrowDelegateStore storage store_,
        uint256 escrowId,
        address delegatee,
        uint256 endTime
    ) external returns (address oldDelegatee, address newDelegatee) {
        oldDelegatee = store_._escrowDelegateeAddress[escrowId].latest();
        if (oldDelegatee == delegatee) return (oldDelegatee, delegatee);

        (, uint48 ts, Checkpoints.Point memory lastPoint) = store_._escrowCheckpoints[escrowId].latestCheckpoint();
        lastPoint.bias -= ((lastPoint.slope * (block.timestamp - ts).toInt128()));
        if (lastPoint.bias < 0) {
            lastPoint.bias = 0;
        }

        if (oldDelegatee != delegatee && oldDelegatee != address(0)) {
            _checkpointDelegatee(store_, oldDelegatee, lastPoint, endTime, false);
        }
        // Delegate to new delegator
        _checkpointDelegatee(store_, delegatee, lastPoint, endTime, true);
        _pushAddressAtClock(store_._escrowDelegateeAddress[escrowId], delegatee);
        return (oldDelegatee, delegatee);
    }

    /**
     * @dev Function to update delegatee's `delegatedBalance` by `balance`.
     *      Only updates if delegating to a new delegatee.
     * @param delegateeAddress The address of the delegatee
     * @param escrowPoint The point of the escrow
     * @param endTime The end time of the delegation
     * @param increase Whether to increase or decrease the balance
     */
    function _checkpointDelegatee(
        EscrowDelegateStore storage store_,
        address delegateeAddress,
        Checkpoints.Point memory escrowPoint,
        uint256 endTime,
        bool increase
    ) internal {
        (Checkpoints.Point memory lastPoint, uint48 lastCheckpoint) = baseCheckpointDelegatee(store_, delegateeAddress);

        int128 baseBias = lastPoint.bias - (lastPoint.slope * (block.timestamp - lastCheckpoint).toInt128());

        if (!increase) {
            if (endTime > block.timestamp) {
                store_.delegateeSlopeChanges[delegateeAddress][endTime] += escrowPoint.slope;
                lastPoint.slope = escrowPoint.slope < lastPoint.slope ? lastPoint.slope - escrowPoint.slope : int128(0);
            }
            lastPoint.bias = escrowPoint.bias < baseBias ? baseBias - escrowPoint.bias : int128(0);
            lastPoint.permanent = escrowPoint.permanent < lastPoint.permanent
                ? lastPoint.permanent - escrowPoint.permanent
                : int128(0);
        } else {
            if (endTime > block.timestamp) {
                store_.delegateeSlopeChanges[delegateeAddress][endTime] -= escrowPoint.slope;
                lastPoint.slope = lastPoint.slope + escrowPoint.slope;
            }
            lastPoint.bias = baseBias + escrowPoint.bias;
            lastPoint.permanent = lastPoint.permanent + escrowPoint.permanent;
        }
        /// @dev bias can be rounded up by lack of precision. If slope is 0 we are out
        if (lastPoint.slope == 0) {
            lastPoint.bias = 0;
        }
        _pushPointAtClock(store_._delegateCheckpoints[delegateeAddress], lastPoint);
        emit CheckpointDelegate(delegateeAddress, clock(), lastPoint.slope, lastPoint.bias, lastPoint.permanent);
    }

    /**
     * @dev Function to update delegatee's checkpoint
     * @param delegateeAddress The address of the delegatee
     * @return lastPoint The last point of the delegatee
     * @return lastCheckpoint The last checkpoint time of the delegatee
     */
    function baseCheckpointDelegatee(
        EscrowDelegateStore storage store_,
        address delegateeAddress
    ) public returns (Checkpoints.Point memory lastPoint, uint48 lastCheckpoint) {
        (bool exists, uint48 ts, Checkpoints.Point memory point) = store_
            ._delegateCheckpoints[delegateeAddress]
            .latestCheckpoint();
        lastPoint = point;
        lastCheckpoint = ts;
        if (exists) {
            // Go over days to fill history and calculate what the current point is
            uint48 testTime = toGlobalClock(lastCheckpoint); /// @dev  lastCheckpoint > tesTime

            uint256 maxTime = testTime + MAX_TIME.toUint256();

            // Iterate over time until current block timestamp or maxtime
            while (testTime < block.timestamp) {
                testTime += CLOCK_UNIT;
                int128 dSlope = 0;
                if (testTime > block.timestamp) {
                    testTime = uint48(block.timestamp);
                } else {
                    dSlope = store_.delegateeSlopeChanges[delegateeAddress][testTime];
                }
                if (dSlope != 0) {
                    lastPoint.bias -= lastPoint.slope * uint256(testTime - lastCheckpoint).toInt128();
                    lastPoint.slope += dSlope;
                    if (lastPoint.bias < 0) {
                        lastPoint.bias = 0;
                    }
                    if (lastPoint.slope < 0) {
                        lastPoint.slope = 0;
                    }
                    lastCheckpoint = uint48(testTime);
                    store_._delegateCheckpoints[delegateeAddress].push(lastCheckpoint, lastPoint);
                }
                if (testTime > maxTime) break;
            }
        }
        emit CheckpointDelegate(delegateeAddress, clock(), lastPoint.slope, lastPoint.bias, lastPoint.permanent);
    }

    /**
     * @dev Function to 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 getAdjustedGlobalVotes(
        EscrowDelegateStore storage store_,
        uint48 timestamp
    ) external view returns (uint256) {
        Checkpoints.Point memory lastPoint = _getAdjustedCheckpoint(store_, timestamp);
        return (lastPoint.bias + lastPoint.permanent).toUint256();
    }

    /**
     * @dev Function to get latest checkpoint of some point in the past
     * @param timestamp Time to calculate the total voting power at
     * @return Total voting power at that time
     */
    function _getAdjustedCheckpoint(
        EscrowDelegateStore storage store_,
        uint48 timestamp
    ) internal view returns (Checkpoints.Point memory) {
        uint48 clockTime = timestamp;
        (bool exists, uint48 lastCheckpointTs, Checkpoints.Point memory lastGlobal) = store_
            ._globalCheckpoints
            .upperLookupRecent(clockTime);
        if (!exists) return lastGlobal;
        uint48 testTime = toGlobalClock(lastCheckpointTs); /// @dev  lastCheckpointTs > tesTime
        uint256 maxTime = testTime + MAX_TIME.toUint256();

        // Iterate over time until the specified timestamp or maxtime is reached
        while (testTime < timestamp) {
            testTime += CLOCK_UNIT;
            int128 dSlope = 0;
            if (testTime > timestamp) {
                testTime = timestamp;
            } else {
                dSlope = store_.globalSlopeChanges[testTime];
            }
            if (dSlope != 0) {
                lastGlobal.bias -= lastGlobal.slope * uint256(testTime - lastCheckpointTs).toInt128();
                lastGlobal.slope += dSlope;
                if (lastGlobal.bias < 0) {
                    lastGlobal.bias = 0;
                }
                if (lastGlobal.slope < 0) {
                    lastGlobal.slope = 0;
                }
                lastCheckpointTs = uint48(testTime);
            }
            if (testTime > maxTime) break;
        }

        int128 change = lastGlobal.slope * uint256(clockTime - lastCheckpointTs).toInt128();
        lastGlobal.bias = lastGlobal.bias < change ? int128(0) : lastGlobal.bias - change;

        return lastGlobal;
    }

    /**
     * @notice Get the current bias for `escrowId` at `timestamp`
     * @dev Adheres to the ERC20 `balanceOf` interface for Aragon compatibility
     * @dev Fetches last escrow point prior to a certain timestamp, then walks forward to timestamp.
     * @param escrowId NFT for lock
     * @param timestamp Epoch time to return bias power at
     * @return NFT bias
     */
    function getAdjustedEscrowBias(
        EscrowDelegateStore storage store_,
        uint256 escrowId,
        uint256 timestamp
    ) external view returns (uint256) {
        uint48 clockTime = timestamp.toUint48();
        (Checkpoints.Point memory lastPoint,) = getAdjustedEscrow(store_, escrowId, clockTime);
        if (lastPoint.permanent != 0) return lastPoint.permanent.toUint256();
        return lastPoint.bias.toUint256();
    }

    /**
     * @notice Get the current bias for `escrowId` at `timestamp`
     * @dev Adheres to the ERC20 `balanceOf` interface for Aragon compatibility
     * @dev Fetches last escrow point prior to a certain timestamp, then walks forward to timestamp.
     * @param escrowId NFT for lock
     * @param timestamp Epoch time to return bias power at
     * @return NFT bias
     */
    function getAdjustedEscrow(
        EscrowDelegateStore storage store_,
        uint256 escrowId,
        uint256 timestamp
    ) public view returns (Checkpoints.Point memory, uint48) {
        uint48 clockTime = timestamp.toUint48();
        (bool exists, uint48 ts, Checkpoints.Point memory lastPoint) = store_
            ._escrowCheckpoints[escrowId]
            .upperLookupRecent(clockTime);
        if (!exists) return (lastPoint, ts);
        int128 change = ((lastPoint.slope * uint256(clockTime - ts).toInt128()));
        lastPoint.bias = lastPoint.bias < change ? int128(0) : lastPoint.bias - change;
        return (lastPoint, ts);
    }

    function getFirstEscrowPoint(
        EscrowDelegateStore storage store_,
        uint256 escrowId
    ) internal view returns (Checkpoints.Point memory, uint48) {
        (, uint48 ts, Checkpoints.Point memory point) =  store_._escrowCheckpoints[escrowId].firstCheckpoint();
        return (point, ts);
    }

    /// -----------------------------------------------------------------------
    /// Private functions
    /// -----------------------------------------------------------------------

    /**
     * @dev Function to push an address to the checkpoint
     * @param store The storage to push the address to
     * @param value The address to be pushed
     * @return The old and new address
     */
    function _pushAddressAtClock(
        Checkpoints.TraceAddress storage store,
        address value
    ) private returns (address, address) {
        return store.push(clock(), value);
    }

    /**
     * @dev Function to push a struct to the checkpoint
     * @param store The storage to push the struct to
     * @param value The struct to be pushed
     * @return The old and new struct
     */
    function _pushPointAtClock(
        Checkpoints.Trace storage store,
        Checkpoints.Point memory value
    ) private returns (Checkpoints.Point memory, Checkpoints.Point memory) {
        return store.push(clock(), value);
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

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

/**
 * @title EscrowDelegateStorage
 * @dev This contract serves as the storage for checkpoints in the system.
 */
contract EscrowDelegateStorage {
    using EscrowDelegateCheckpoints for EscrowDelegateCheckpoints.EscrowDelegateStore;

    /// @notice Storage struct for the checkpoint system
    EscrowDelegateCheckpoints.EscrowDelegateStore internal edStore;
    /// @dev Must be reset in initialization for upgradeability
    uint256 MAX_TIME = uint256(uint128(EscrowDelegateCheckpoints.MAX_TIME));

    /// @notice Gap for future upgrades
    uint256[50] private __gap;

    /// -----------------------------------------------------------------------
    /// Getters
    /// -----------------------------------------------------------------------

    function globalSlopeChanges(uint256 _timestamp) external view returns (int128) {
        return edStore.globalSlopeChanges[_timestamp];
    }

    function delegateeSlopeChanges(address _delegatee, uint256 _timestamp) external view returns (int128) {
        return edStore.delegateeSlopeChanges[_delegatee][_timestamp];
    }

    function toGlobalClock(uint256 _timestamp) public pure virtual returns (uint48) {
        return EscrowDelegateCheckpoints.toGlobalClock(_timestamp);
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

/// @title SafeCast Library
/// @author velodrome.finance
/// @notice Safely convert unsigned and signed integers without overflow / underflow
library SafeCastLibrary {
    error SafeCastOverflow();
    error SafeCastUnderflow();

    /// @dev Safely convert uint256 to int128
    function toInt128(uint256 value) internal pure returns (int128) {
        if (value > uint128(type(int128).max)) revert SafeCastOverflow();
        return int128(uint128(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
     */
    function toUint48(uint256 value) internal pure returns (uint48) {
        if (value > type(uint48).max) revert SafeCastOverflow();
        return uint48(value);
    }

    /// @dev Safely convert int128 to uint256
    function toUint256(int128 value) internal pure returns (uint256) {
        if (value < 0) revert SafeCastUnderflow();
        return uint256(int256(value));
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.13;

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

/**
 * @notice Adapted from OpenZeppelin's Time library: v5.0.0 for solc 0.8.13
 * @dev This library provides helpers for manipulating time-related objects.
 *
 * It uses the following types:
 * - `uint48` for timepoints
 * - `uint32` for durations
 *
 * While the library doesn't provide specific types for timepoints and duration, it does provide:
 * - a `Delay` type to represent duration that can be programmed to change value automatically at a given point
 * - additional helper functions
 */
library Time {
    using Time for *;

    /**
     * @dev Get the block timestamp as a Timepoint.
     */
    function timestamp() internal view returns (uint48) {
        return SafeCastLibrary.toUint48(block.timestamp);
    }

    /**
     * @dev Get the block number as a Timepoint.
     */
    function blockNumber() internal view returns (uint48) {
        return SafeCastLibrary.toUint48(block.number);
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 1000
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {
    "contracts/VoterV5/VotingEscrow/libraries/EscrowDelegateCheckpoints.sol": {
      "EscrowDelegateCheckpoints": "0xa615388bd2f920ee2fec7606f26908b454f0c249"
    }
  }
}

• No Contract Security Audit Submitted- Submit Audit Here

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