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//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

import "./interfaces/ITermAuctionBidLocker.sol";
import "./interfaces/ITermAuctionErrors.sol";
import "./interfaces/ITermAuctionOfferLocker.sol";
import "./interfaces/ITermEventEmitter.sol";
import "./interfaces/ITermRepoCollateralManager.sol";
import "./interfaces/ITermRepoServicer.sol";

import "./lib/CompleteAuctionInput.sol";

import "./lib/ExponentialNoError.sol";
import "./lib/TermAuctionRevealedBid.sol";
import "./lib/TermAuctionRevealedOffer.sol";

import "@openzeppelin/contracts-upgradeable/access/AccessControlUpgradeable.sol";
import "@openzeppelin/contracts-upgradeable/interfaces/IERC20MetadataUpgradeable.sol";
import "@openzeppelin/contracts-upgradeable/proxy/utils/UUPSUpgradeable.sol";
import "@openzeppelin/contracts-upgradeable/security/ReentrancyGuardUpgradeable.sol";

/// @author TermLabs
/// @title Term Auction
/// @notice This contract calculates a clearing price in a blind double auction and manages auction clearing and settlement
/// @dev This contract belongs to the Term Auction group of contracts and is specific to a Term Repo deployment
contract TermAuction is
    ITermAuctionErrors,
    UUPSUpgradeable,
    AccessControlUpgradeable,
    ReentrancyGuardUpgradeable,
    ExponentialNoError
{
    // ========================================================================
    // = Structs  =============================================================
    // ========================================================================
    /// State used during the `calculateClearingPrice` function
    /// @dev Used to reduce the number of stack variables
    struct ClearingPriceState {
        // Variables describing current loop iteration
        uint256 offerPrice; // p^o_i
        uint256 offerIndex; // idxo(p^o_i)
        uint256 bidIndex; // idxb(p^o_i)
        uint256 cumSumOffers; // cso(p^o_i)
        uint256 cumSumBids; // csb(p^o_i)
        uint256 maxClearingVolume; // maxcv_i
        // Variables describing next loop iteration
        uint256 nextOfferIndex;
        uint256 nextBidIndex;
        uint256 nextCumSumOffers;
        uint256 nextCumSumBids;
        uint256 nextOfferPrice;
        uint256 nextMaxClearingVolume;
        // Auxiliary variables
        bool minCumSumCorrection; // Minimisation correction indicator
        uint256 nextBidPrice; // Next bid price in minimisation
        // Principal quantities of interest
        uint256 clearingPrice; // p_c
    }

    // ========================================================================
    // = Constants  ===========================================================
    // ========================================================================
    uint256 public constant CLEARING_PRICE_MAX_SEARCH_DEPTH = uint256(50);
    uint256 public constant CLEARING_PRICE_POST_PROCESSING_OFFSET = uint256(1);
    uint256 public constant THREESIXTY_DAYCOUNT_SECONDS = 360 days;

    // ========================================================================
    // = Access Roles  ========================================================
    // ========================================================================
    bytes32 public constant INITIALIZER_ROLE = keccak256("INITIALIZER_ROLE");

    // ========================================================================
    // = State Variables  =====================================================
    // ========================================================================

    // Auction configuration.
    bytes32 public termRepoId;
    bytes32 public termAuctionId;
    uint256 public auctionEndTime;
    uint256 public dayCountFractionMantissa;
    ITermRepoServicer public termRepoServicer;
    ITermAuctionBidLocker public termAuctionBidLocker;
    ITermAuctionOfferLocker public termAuctionOfferLocker;
    IERC20MetadataUpgradeable public purchaseToken;
    ITermEventEmitter internal emitter;

    // Completed auction state
    uint256 public clearingPrice;
    bool public auctionCompleted;
    bool public auctionCancelledForWithdrawal;
    bool public completeAuctionPaused;
    bool internal termContractPaired;

    // ========================================================================
    // = Modifiers  ===========================================================
    // ========================================================================

    /// @notice This only runs if the auction is closed (after auction end time)
    /// @dev This uses the block timestamp to determine if the auction is closed
    modifier onlyWhileAuctionClosed() {
        // solhint-disable-next-line not-rely-on-time
        if (block.timestamp <= auctionEndTime) {
            revert AuctionNotClosed();
        }
        _;
    }

    modifier whenCompleteAuctionNotPaused() {
        if (completeAuctionPaused) {
            revert CompleteAuctionPaused();
        }
        _;
    }

    modifier notTermContractPaired() {
        if (termContractPaired) {
            revert AlreadyTermContractPaired();
        }
        termContractPaired = true;
        _;
    }

    // ========================================================================
    // = Deploy (https://docs.openzeppelin.com/contracts/4.x/upgradeable) =
    // ========================================================================

    /// @custom:oz-upgrades-unsafe-allow constructor
    constructor() {
        _disableInitializers();
    }

    /// Initializes the contract
    /// @dev See: https://docs.openzeppelin.com/contracts/4.x/upgradeable
    function initialize(
        string calldata termRepoId_,
        string calldata auctionId_,
        uint256 auctionEndTime_,
        uint256 termStart_,
        uint256 redemptionTimestamp_,
        IERC20MetadataUpgradeable purchaseToken_
    ) external initializer {
        UUPSUpgradeable.__UUPSUpgradeable_init();
        AccessControlUpgradeable.__AccessControl_init();
        ReentrancyGuardUpgradeable.__ReentrancyGuard_init();

        _grantRole(DEFAULT_ADMIN_ROLE, msg.sender);
        _grantRole(INITIALIZER_ROLE, msg.sender);

        termRepoId = keccak256(abi.encodePacked(termRepoId_));
        termAuctionId = keccak256(abi.encodePacked(auctionId_));

        auctionEndTime = auctionEndTime_;
        dayCountFractionMantissa =
            ((redemptionTimestamp_ - termStart_) * expScale) /
            THREESIXTY_DAYCOUNT_SECONDS;
        purchaseToken = purchaseToken_;
        auctionCompleted = false;
        termContractPaired = false;
        auctionCancelledForWithdrawal = false;
    }

    function pairTermContracts(
        ITermEventEmitter emitter_,
        ITermRepoServicer termRepoServicer_,
        ITermAuctionBidLocker termAuctionBidLocker_,
        ITermAuctionOfferLocker termAuctionOfferLocker_
    ) external onlyRole(INITIALIZER_ROLE) notTermContractPaired {
        emitter = emitter_;

        termRepoServicer = termRepoServicer_;
        termAuctionBidLocker = termAuctionBidLocker_;
        termAuctionOfferLocker = termAuctionOfferLocker_;

        emitter.emitTermAuctionInitialized(
            termRepoId,
            termAuctionId,
            address(this),
            auctionEndTime
        );
    }

    // ========================================================================
    // = Interface/API ========================================================
    // ========================================================================

    /// @notice Calculates an auction's clearing price, assigns bids/offers, and returns unassigned funds
    /// @param completeAuctionInput A struct containing all revealed and unrevealed bids and offers and expired rollover bids
    function completeAuction(
        CompleteAuctionInput calldata completeAuctionInput
    ) external onlyWhileAuctionClosed whenCompleteAuctionNotPaused {
        if (auctionCompleted) {
            revert AuctionAlreadyCompleted();
        }
        auctionCompleted = true;

        // Sort bids/offers by price. Orders right on the price
        // edge will be partially filled.
        if (!hasRole(DEFAULT_ADMIN_ROLE, msg.sender)) {
            if (
                completeAuctionInput.unrevealedBidSubmissions.length > 0 ||
                completeAuctionInput.unrevealedOfferSubmissions.length > 0
            ) {
                revert InvalidParameters(
                    "All tender prices must be revealed for auction to be complete"
                );
            }
        }

        (
            TermAuctionRevealedBid[] memory sortedBids,
            TermAuctionBid[] memory unrevealedBids
        ) = termAuctionBidLocker.getAllBids(
                completeAuctionInput.revealedBidSubmissions,
                completeAuctionInput.expiredRolloverBids,
                completeAuctionInput.unrevealedBidSubmissions
            );
        (
            TermAuctionRevealedOffer[] memory sortedOffers,
            TermAuctionOffer[] memory unrevealedOffers
        ) = termAuctionOfferLocker.getAllOffers(
                completeAuctionInput.revealedOfferSubmissions,
                completeAuctionInput.unrevealedOfferSubmissions
            );

        // Calculate a clearing price only if both bids and offers exist and market intersects
        if (
            sortedBids.length > 0 &&
            sortedOffers.length > 0 &&
            sortedBids[sortedBids.length - 1].bidPriceRevealed >=
            sortedOffers[0].offerPriceRevealed
        ) {
            (
                ,
                // uint256 clearingPrice_
                uint256 maxAssignable
            ) = _calculateAndStoreClearingPrice(sortedBids, sortedOffers);

            uint256 purchaseTokenDecimals = purchaseToken.decimals();

            // Process revealed bids/offers
            uint256 totalAssignedBids = _assignBids(
                sortedBids,
                maxAssignable,
                purchaseTokenDecimals
            );
            uint256 totalAssignedOffers = _assignOffers(
                sortedOffers,
                maxAssignable,
                purchaseTokenDecimals
            );

            emitter.emitAuctionCompleted(
                termAuctionId, // solhint-disable-next-line not-rely-on-time
                block.timestamp,
                block.number,
                totalAssignedBids,
                totalAssignedOffers,
                clearingPrice
            );
        } else {
            // Return sorted bid funds.
            for (uint256 i = 0; i < sortedBids.length; ++i) {
                if (sortedBids[i].isRollover) {
                    _markRolloverAsProcessed(
                        sortedBids[i].rolloverPairOffTermRepoServicer,
                        sortedBids[i].bidder
                    );
                } else {
                    termAuctionBidLocker.auctionUnlockBid(
                        sortedBids[i].id,
                        sortedBids[i].bidder,
                        sortedBids[i].collateralTokens,
                        sortedBids[i].collateralAmounts
                    );
                }
            }
            // Return sorted offer funds.
            for (uint256 i = 0; i < sortedOffers.length; ++i) {
                termAuctionOfferLocker.unlockOfferPartial(
                    sortedOffers[i].id,
                    sortedOffers[i].offeror,
                    sortedOffers[i].amount
                );
            }

            if (
                sortedBids.length > 0 &&
                sortedOffers.length > 0 &&
                sortedBids[sortedBids.length - 1].bidPriceRevealed <
                sortedOffers[0].offerPriceRevealed
            ) {
                emitter.emitAuctionCancelled(termAuctionId, true);
            } else {
                emitter.emitAuctionCancelled(termAuctionId, false);
            }
        }

        // Return unrevealed bid funds.
        for (uint256 i = 0; i < unrevealedBids.length; ++i) {
            if (unrevealedBids[i].isRollover) {
                _markRolloverAsProcessed(
                    unrevealedBids[i].rolloverPairOffTermRepoServicer,
                    unrevealedBids[i].bidder
                );
            } else {
                termAuctionBidLocker.auctionUnlockBid(
                    unrevealedBids[i].id,
                    unrevealedBids[i].bidder,
                    unrevealedBids[i].collateralTokens,
                    unrevealedBids[i].collateralAmounts
                );
            }
        }
        // Return unrevealed offer funds.
        for (uint256 i = 0; i < unrevealedOffers.length; ++i) {
            termAuctionOfferLocker.unlockOfferPartial(
                unrevealedOffers[i].id,
                unrevealedOffers[i].offeror,
                unrevealedOffers[i].amount
            );
        }

        assert(termRepoServicer.isTermRepoBalanced());
    }

    // ========================================================================
    // = Admin ================================================================
    // ========================================================================

    /// @notice Cancels an auction and returns all funds to bidders and fulfillBiders
    /// @param completeAuctionInput A struct containing all revealed and unrevealed bids and offers and expired rollover bids
    function cancelAuction(
        CompleteAuctionInput calldata completeAuctionInput
    ) public onlyWhileAuctionClosed onlyRole(DEFAULT_ADMIN_ROLE) {
        // Sort bids/offers by price. Orders right on the price
        // edge will be partially filled.
        (
            TermAuctionRevealedBid[] memory sortedBids,
            TermAuctionBid[] memory unrevealedBids
        ) = termAuctionBidLocker.getAllBids(
                completeAuctionInput.revealedBidSubmissions,
                completeAuctionInput.expiredRolloverBids,
                completeAuctionInput.unrevealedBidSubmissions
            );
        (
            TermAuctionRevealedOffer[] memory sortedOffers,
            TermAuctionOffer[] memory unrevealedOffers
        ) = termAuctionOfferLocker.getAllOffers(
                completeAuctionInput.revealedOfferSubmissions,
                completeAuctionInput.unrevealedOfferSubmissions
            );

        // Return revealed bid funds.
        uint256 i = 0;
        for (i = 0; i < sortedBids.length; ++i) {
            if (sortedBids[i].isRollover) {
                _markRolloverAsProcessed(
                    sortedBids[i].rolloverPairOffTermRepoServicer,
                    sortedBids[i].bidder
                );
            } else {
                termAuctionBidLocker.auctionUnlockBid(
                    sortedBids[i].id,
                    sortedBids[i].bidder,
                    sortedBids[i].collateralTokens,
                    sortedBids[i].collateralAmounts
                );
            }
        }
        // Return revealed offer funds.
        for (i = 0; i < sortedOffers.length; ++i) {
            termAuctionOfferLocker.unlockOfferPartial(
                sortedOffers[i].id,
                sortedOffers[i].offeror,
                sortedOffers[i].amount
            );
        }
        // Return unrevealed bid funds.
        for (i = 0; i < unrevealedBids.length; ++i) {
            if (unrevealedBids[i].isRollover) {
                _markRolloverAsProcessed(
                    unrevealedBids[i].rolloverPairOffTermRepoServicer,
                    unrevealedBids[i].bidder
                );
            } else {
                termAuctionBidLocker.auctionUnlockBid(
                    unrevealedBids[i].id,
                    unrevealedBids[i].bidder,
                    unrevealedBids[i].collateralTokens,
                    unrevealedBids[i].collateralAmounts
                );
            }
        }
        // Return unrevealed offer funds.
        for (i = 0; i < unrevealedOffers.length; ++i) {
            termAuctionOfferLocker.unlockOfferPartial(
                unrevealedOffers[i].id,
                unrevealedOffers[i].offeror,
                unrevealedOffers[i].amount
            );
        }

        emitter.emitAuctionCancelled(termAuctionId, false);

        assert(termRepoServicer.isTermRepoBalanced());
    }

    /// @notice Cancels an auction and sets auctionCancelledForWithdrawal to true to open unlocking tenders
    function cancelAuctionForWithdrawal(
        address[] calldata rolloverBorrowers,
        address[] calldata rolloverPairOffTermRepoServicer
    ) public onlyWhileAuctionClosed onlyRole(DEFAULT_ADMIN_ROLE) {
        for (uint256 i = 0; i < rolloverBorrowers.length; ++i) {
            _markRolloverAsProcessed(
                rolloverPairOffTermRepoServicer[i],
                rolloverBorrowers[i]
            );
        }

        auctionCancelledForWithdrawal = true;
        emitter.emitAuctionCancelled(termAuctionId, false);
    }

    // ========================================================================
    // = Helpers ==============================================================
    // ========================================================================
    function _increaseCumSumBids(
        TermAuctionRevealedBid[] memory sortedBids,
        uint256 startIndex,
        uint256 previousCumSumBids,
        uint256 currentPrice
    ) internal pure returns (uint256, uint256) {
        uint256 cumsumBids = previousCumSumBids;
        uint256 i;

        for (
            i = startIndex;
            sortedBids[i].bidPriceRevealed >= currentPrice;
            --i
        ) {
            cumsumBids += sortedBids[i].amount;
            if (i == 0) break;
        }
        return (
            cumsumBids,
            sortedBids[i].bidPriceRevealed < currentPrice ? i + 1 : i
        );
    }

    function _decreaseCumSumBids(
        TermAuctionRevealedBid[] memory sortedBids,
        uint256 startIndex,
        uint256 previousCumSumBids,
        uint256 currentPrice
    ) internal pure returns (uint256, uint256) {
        uint256 cumsumBids = previousCumSumBids;
        uint256 i;

        for (
            i = startIndex;
            i < sortedBids.length &&
                sortedBids[i].bidPriceRevealed < currentPrice;
            i++
        ) cumsumBids -= sortedBids[i].amount;

        return (cumsumBids, i);
    }

    /// Returns the min of two `uint256` values
    /// @param a The first value to compare
    /// @param b The second value to compare
    /// @return The min of the two values
    function _minUint256(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a >= b) {
            return b;
        } else {
            return a;
        }
    }

    /// Calculates the intersection between bid/offer schedules to arrive at a clearing price
    /// @dev Imagine a graph with price along the X-axis and cumsum(bid/offerAmount*price) along the Y-axis. This function finds the point where the supply line crosses the demand line using binary search
    /// @param sortedBids A sorted array of bids used to arrive at a demand schedule
    /// @param sortedOffers A sorted array of offers used to arrive at a supply schedule
    /// @param clearingOffset The offset to apply to the marginal bid and offer indexes when calculating the final clearing price
    /// @return clearingPrice The price at which Term Auction will be cleared
    function _calculateClearingPrice(
        TermAuctionRevealedBid[] memory sortedBids,
        TermAuctionRevealedOffer[] memory sortedOffers,
        uint256 clearingOffset
    ) internal pure returns (uint256, uint256) {
        if (clearingOffset != 1 && clearingOffset != 0) {
            revert ClearingOffsetNot0Or1(clearingOffset);
        }

        // Local function variables are kept in memory
        ClearingPriceState memory state = ClearingPriceState({
            offerPrice: sortedOffers[0].offerPriceRevealed, // p^o_i
            offerIndex: 1, // idxo(offerPrice)
            cumSumOffers: sortedOffers[0].amount, // cso(offerPrice)
            bidIndex: sortedBids.length,
            cumSumBids: 0,
            maxClearingVolume: 0,
            nextOfferIndex: 0,
            nextBidIndex: 0,
            nextCumSumOffers: 0,
            nextCumSumBids: 0,
            nextOfferPrice: 0,
            nextMaxClearingVolume: 0,
            minCumSumCorrection: false,
            nextBidPrice: 0,
            clearingPrice: 0
        });

        // Calculate bidIndex = idxb(offerPrice) and cumSumBids = csb(offerPrice)
        (state.cumSumBids, state.bidIndex) = _increaseCumSumBids(
            sortedBids,
            state.bidIndex - 1,
            0,
            state.offerPrice
        );

        // Calculate initial maximal clearing volume
        state.maxClearingVolume = _minUint256(
            state.cumSumBids,
            state.cumSumOffers
        );

        // Calculate the pre-clearance price: maximise the clearing volume
        while (
            state.offerIndex < sortedOffers.length &&
            state.bidIndex < sortedBids.length
        ) {
            // Initialise the next iteration of the relevant variables
            state.nextOfferIndex = state.offerIndex;
            state.nextBidIndex = state.bidIndex;
            state.nextCumSumOffers = state.cumSumOffers;
            state.nextCumSumBids = state.cumSumBids;
            state.nextOfferPrice = sortedOffers[state.offerIndex]
                .offerPriceRevealed;

            // Obtain next offer index, increase cumulative sum
            while (
                state.nextOfferIndex < sortedOffers.length &&
                sortedOffers[state.nextOfferIndex].offerPriceRevealed ==
                state.nextOfferPrice
            )
                state.nextCumSumOffers += sortedOffers[state.nextOfferIndex++]
                    .amount;

            // Obtain next bid index, decrease cumulative sum
            (state.nextCumSumBids, state.nextBidIndex) = _decreaseCumSumBids(
                sortedBids,
                state.nextBidIndex,
                state.nextCumSumBids,
                state.nextOfferPrice
            );

            state.nextMaxClearingVolume = _minUint256(
                state.nextCumSumBids,
                state.nextCumSumOffers
            );
            if (state.nextMaxClearingVolume > state.maxClearingVolume) {
                state.offerIndex = state.nextOfferIndex;
                state.bidIndex = state.nextBidIndex;
                state.cumSumOffers = state.nextCumSumOffers;
                state.cumSumBids = state.nextCumSumBids;
                state.offerPrice = state.nextOfferPrice;
                state.maxClearingVolume = state.nextMaxClearingVolume;
            } else {
                break;
            }
        }

        // Get next offer price: first offer price higher than the pre-clearance price
        state.nextOfferPrice = (state.offerIndex < sortedOffers.length)
            ? sortedOffers[state.offerIndex].offerPriceRevealed
            : type(uint256).max;

        // Minimise css by minimising csb as long as bid price is smaller than next offer price
        while (state.bidIndex < sortedBids.length) {
            state.nextBidIndex = state.bidIndex;
            state.nextBidPrice = sortedBids[state.bidIndex].bidPriceRevealed;
            state.nextCumSumBids = state.cumSumBids;
            if (state.nextBidPrice < state.nextOfferPrice) {
                while (
                    state.nextBidIndex < sortedBids.length &&
                    sortedBids[state.nextBidIndex].bidPriceRevealed ==
                    state.nextBidPrice
                ) {
                    state.nextCumSumBids -= sortedBids[state.nextBidIndex++]
                        .amount;
                }
                if (state.nextCumSumBids >= state.cumSumOffers) {
                    state.minCumSumCorrection = true;
                    state.cumSumBids = state.nextCumSumBids;
                    state.bidIndex = state.nextBidIndex;
                } else {
                    break;
                }
            } else {
                break;
            }
        }

        // Calculate clearing price: bid price if minimum correction was made and offer price otherwise
        if (state.minCumSumCorrection)
            state.clearingPrice = (state.bidIndex == sortedBids.length)
                ? sortedBids[state.bidIndex - 1].bidPriceRevealed
                : sortedBids[state.bidIndex].bidPriceRevealed;
        else state.clearingPrice = state.offerPrice;

        // The main loop positions `offerIndex` at the first index greater than the price.
        // It needs to be shifted back to get the last index smaller than or equal to the price.
        state.offerIndex--;

        // If non-zero clearing offset, find the offset tender prices and then average them to find the final clearing price.
        if (clearingOffset == 1) {
            uint256 nextOfferPriceIndex = state.offerIndex;
            while (
                nextOfferPriceIndex > 0 &&
                sortedOffers[nextOfferPriceIndex].offerPriceRevealed ==
                sortedOffers[state.offerIndex].offerPriceRevealed
            ) {
                nextOfferPriceIndex -= 1;
            }

            uint256 nextBidPriceIndex = state.bidIndex;

            // In the case that there is no clear, bid index is past end of array, so decrement it to last element.
            if (state.bidIndex == sortedBids.length) {
                nextBidPriceIndex -= 1;
            }

            while (
                nextBidPriceIndex < sortedBids.length - 1 &&
                sortedBids[nextBidPriceIndex].bidPriceRevealed ==
                sortedBids[state.bidIndex].bidPriceRevealed
            ) {
                nextBidPriceIndex += 1;
            }

            state.clearingPrice =
                (sortedOffers[nextOfferPriceIndex].offerPriceRevealed +
                    sortedBids[nextBidPriceIndex].bidPriceRevealed) /
                2;
        } else {
            // In the case that there is no clear, bid index is past end of array, so decrement it to last element.
            if (state.bidIndex == sortedBids.length) {
                state.bidIndex -= 1;
            }
            state.clearingPrice =
                (sortedOffers[state.offerIndex].offerPriceRevealed +
                    sortedBids[state.bidIndex].bidPriceRevealed) /
                2;
        }

        //update state.cumSumOffers
        if (
            sortedOffers[state.offerIndex].offerPriceRevealed <=
            state.clearingPrice
        ) {
            state.offerIndex++;
            while (
                state.offerIndex < sortedOffers.length &&
                sortedOffers[state.offerIndex].offerPriceRevealed <=
                state.clearingPrice
            ) {
                state.cumSumOffers += sortedOffers[state.offerIndex].amount;
                state.offerIndex++;
            }
        } else {
            while (
                sortedOffers[state.offerIndex].offerPriceRevealed >
                state.clearingPrice
            ) {
                state.cumSumOffers -= sortedOffers[state.offerIndex].amount;
                if (state.offerIndex == 0) break;
                state.offerIndex--;
            }
        }

        //update state.cumSumBids
        if (
            state.bidIndex < sortedBids.length &&
            sortedBids[state.bidIndex].bidPriceRevealed < state.clearingPrice
        ) {
            (state.cumSumBids, state.bidIndex) = _decreaseCumSumBids(
                sortedBids,
                state.bidIndex,
                state.cumSumBids,
                state.clearingPrice
            );
        } else if (state.bidIndex > 0) {
            (state.cumSumBids, state.bidIndex) = _increaseCumSumBids(
                sortedBids,
                state.bidIndex - 1,
                state.cumSumBids,
                state.clearingPrice
            );
        }

        return (
            state.clearingPrice,
            _minUint256(state.cumSumBids, state.cumSumOffers)
        );
    }

    /// Finds the index of the first bid with a bidPrice of `price` and calculate the cumsum of the bid amounts up to that index
    /// @param price The price to search for
    /// @param sortedBids An array of sorted bids to search
    /// @param startIndex The index to start searching from
    /// @return i The index of the first bid with a bidPrice of `price`
    /// @return totalAmount The cumsum of the bid amounts up to return index i
    function _findFirstIndexForPrice(
        uint256 price,
        TermAuctionRevealedBid[] memory sortedBids,
        uint256 startIndex
    ) internal pure returns (uint256 i, uint256 totalAmount) {
        i = startIndex;
        totalAmount = sortedBids[i].amount;
        while (true) {
            if (i == 0 || sortedBids[i - 1].bidPriceRevealed != price) {
                break;
            }
            totalAmount += sortedBids[i - 1].amount;
            --i;
        }
        return (i, totalAmount);
    }

    /// Finds the index of the last offer with a offerPrice of `price` and calculate the cumsum of the offer amounts up to that index
    /// @param price The price to search for
    /// @param sortedOffers An array of offers to search
    /// @param startIndex The index to start searching from
    /// @return i The index of the last offer with a offerPrice of `price`
    /// @return totalAmount The cumsum of the offer amounts up to return index i
    function _findLastIndexForPrice(
        uint256 price,
        TermAuctionRevealedOffer[] memory sortedOffers,
        uint256 startIndex
    ) internal pure returns (uint256 i, uint256 totalAmount) {
        i = startIndex;
        totalAmount = sortedOffers[i].amount;
        while (i < (sortedOffers.length - 1)) {
            if (sortedOffers[i + 1].offerPriceRevealed != price) {
                break;
            }
            totalAmount += sortedOffers[i + 1].amount;
            ++i;
        }
        return (i, totalAmount);
    }

    /// Fully assigns a bid
    /// @param bid The bid to assign
    /// @return The amount that was assigned
    function _fullyAssignBid(
        TermAuctionRevealedBid memory bid
    ) internal nonReentrant returns (uint256) {
        uint256 repurchaseAmount = _calculateRepurchasePrice(bid.amount);

        if (!bid.isRollover) {
            termRepoServicer.fulfillBid(
                bid.bidder,
                bid.amount,
                repurchaseAmount,
                bid.collateralTokens,
                bid.collateralAmounts,
                dayCountFractionMantissa
            );
        } else {
            _assignRolloverBid(
                bid.bidder,
                bid.amount,
                repurchaseAmount,
                bid.rolloverPairOffTermRepoServicer
            );
        }

        emitter.emitBidAssigned(termAuctionId, bid.id, bid.amount);

        return bid.amount;
    }

    /// Fully assigns an offer
    /// @param offer The offer to assign
    /// @return The amount that was assigned
    function _fullyAssignOffer(
        TermAuctionRevealedOffer memory offer
    ) internal nonReentrant returns (uint256) {
        uint256 repurchaseAmount = _calculateRepurchasePrice(offer.amount);

        termRepoServicer.fulfillOffer(
            offer.offeror,
            offer.amount,
            repurchaseAmount,
            offer.id
        );

        emitter.emitOfferAssigned(termAuctionId, offer.id, offer.amount);

        return offer.amount;
    }

    /// Partially assigns a bid
    /// @param bid The bid to assign
    /// @param assignedAmount The amount to assign
    /// @return The amount that was assigned
    function _partiallyAssignBid(
        TermAuctionRevealedBid memory bid,
        uint256 assignedAmount
    ) internal nonReentrant returns (uint256) {
        uint256 repurchaseAmount = _calculateRepurchasePrice(assignedAmount);

        if (!bid.isRollover) {
            termRepoServicer.fulfillBid(
                bid.bidder,
                assignedAmount,
                repurchaseAmount,
                bid.collateralTokens,
                bid.collateralAmounts,
                dayCountFractionMantissa
            );
        } else {
            _assignRolloverBid(
                bid.bidder,
                assignedAmount,
                repurchaseAmount,
                bid.rolloverPairOffTermRepoServicer
            );
        }

        emitter.emitBidAssigned(termAuctionId, bid.id, assignedAmount);

        return assignedAmount;
    }

    /// Partially assigns an offer
    /// @param offer The offer to assign
    /// @param assignedAmount The amount to assign
    /// @return The amount that was assigned
    function _partiallyAssignOffer(
        TermAuctionRevealedOffer memory offer,
        uint256 assignedAmount
    ) internal nonReentrant returns (uint256) {
        uint256 repurchaseAmount = _calculateRepurchasePrice(assignedAmount);

        termRepoServicer.fulfillOffer(
            offer.offeror,
            assignedAmount,
            repurchaseAmount,
            offer.id
        );

        // Unlock remaining.
        termAuctionOfferLocker.unlockOfferPartial(
            offer.id,
            offer.offeror,
            offer.amount - assignedAmount
        );

        emitter.emitOfferAssigned(termAuctionId, offer.id, assignedAmount);

        return assignedAmount;
    }

    function _assignRolloverBid(
        address borrower,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        address rolloverPairOffTermRepoServicer
    ) internal {
        ITermRepoServicer previousTermRepoServicer = ITermRepoServicer(
            rolloverPairOffTermRepoServicer
        );
        uint256 rolloverPaymentToCollapseBorrower = termRepoServicer
            .openExposureOnRolloverNew(
                borrower,
                purchasePrice,
                repurchasePrice,
                address(previousTermRepoServicer.termRepoLocker()),
                dayCountFractionMantissa
            );
        uint256 proportionPreviousLoanPaid = previousTermRepoServicer
            .closeExposureOnRolloverExisting(
                borrower,
                rolloverPaymentToCollapseBorrower
            );
        ITermRepoCollateralManager previousTermRepoCollateralManager = ITermRepoCollateralManager(
                previousTermRepoServicer.termRepoCollateralManager()
            );
        (
            address[] memory collateralTypes,
            uint256[] memory collateralAmounts
        ) = previousTermRepoCollateralManager.transferRolloverCollateral(
                borrower,
                proportionPreviousLoanPaid,
                address(termRepoServicer.termRepoLocker())
            );

        ITermRepoCollateralManager currentTermRepoCollateralManager = termRepoServicer
                .termRepoCollateralManager();

        for (uint256 i = 0; i < collateralTypes.length; ++i) {
            if (collateralAmounts[i] > 0) {
                currentTermRepoCollateralManager.acceptRolloverCollateral(
                    borrower,
                    collateralTypes[i],
                    collateralAmounts[i]
                );
            }
        }
    }

    function _markRolloverAsProcessed(
        address rolloverPairOffTermRepoServicer,
        address borrower
    ) internal {
        ITermRepoServicer termRepoServicer_ = ITermRepoServicer(
            rolloverPairOffTermRepoServicer
        );
        ITermRepoRolloverManager rolloverManager = termRepoServicer_
            .termRepoRolloverManager();
        rolloverManager.fulfillRollover(borrower);
    }

    /// Assigns bids up to `maxAssignable`
    /// @dev This method allocates pro-rata across an the marginal price group (pro-rata on the margin) and attempts to prevent residuals from accumulating to a single bid
    /// @param sortedBids An array of sorted bids to process
    /// @param maxAssignable The maximum bid amount that can be assigned across all bidders
    /// @param purchaseTokenDecimals The number of decimals of the purchase token
    /// @return The total amount assigned
    function _assignBids(
        TermAuctionRevealedBid[] memory sortedBids,
        uint256 maxAssignable,
        uint256 purchaseTokenDecimals
    ) internal returns (uint256) {
        // Process revealed bids.
        uint256 totalAssignedBids = 0;
        uint256 innerIndex = 0;
        uint256 i = 0;
        for (uint256 j = sortedBids.length; j > 0; --j) {
            i = j - 1;

            // First, find the sub-range that contains the current price.
            (uint256 k, uint256 priceGroupAmount) = _findFirstIndexForPrice(
                sortedBids[i].bidPriceRevealed,
                sortedBids,
                i
            );
            // NOTE: priceGroupAmount gets changed later on in this function and is used as the "remaining" priceGroupAmount during partial assignment.

            if (
                sortedBids[i].bidPriceRevealed >= clearingPrice &&
                totalAssignedBids < maxAssignable &&
                priceGroupAmount <= (maxAssignable - totalAssignedBids)
            ) {
                // Full assignment for entire price group.

                innerIndex = 0;
                for (; (i - innerIndex) >= k; ++innerIndex) {
                    // NOTE: This loop is actually decrementing!
                    totalAssignedBids += _fullyAssignBid(
                        sortedBids[i - innerIndex]
                    );

                    if (i == innerIndex) {
                        ++innerIndex;
                        break;
                    }
                }
                if (innerIndex > 0) {
                    j -= (innerIndex - 1);
                }
            } else if (
                sortedBids[i].bidPriceRevealed >= clearingPrice &&
                totalAssignedBids < maxAssignable
            ) {
                // Partial assignment for entire price group.

                innerIndex = 0;
                for (; (i - innerIndex) >= k; ++innerIndex) {
                    if ((i - innerIndex) == k) {
                        // Last iteration of loop. Assign remaining amount left to assign.
                        totalAssignedBids += _partiallyAssignBid(
                            sortedBids[i - innerIndex],
                            maxAssignable - totalAssignedBids
                        );
                        priceGroupAmount -= maxAssignable - totalAssignedBids;
                    } else {
                        // Assign an amount based upon the partial assignment ratio.

                        uint256 bidAmount = sortedBids[i - innerIndex].amount;
                        Exp memory partialAssignmentRatio = div_(
                            Exp({
                                mantissa: (maxAssignable - totalAssignedBids) *
                                    10 ** (18 - purchaseTokenDecimals)
                            }),
                            Exp({
                                mantissa: priceGroupAmount *
                                    10 ** (18 - purchaseTokenDecimals)
                            })
                        );
                        uint256 assignedAmount = mul_(
                            partialAssignmentRatio,
                            Exp({
                                mantissa: bidAmount *
                                    10 ** (18 - purchaseTokenDecimals)
                            })
                        ).mantissa / 10 ** (18 - purchaseTokenDecimals);

                        totalAssignedBids += _partiallyAssignBid(
                            sortedBids[i - innerIndex],
                            assignedAmount
                        );
                        priceGroupAmount -= sortedBids[i - innerIndex].amount;
                    }

                    if (i == innerIndex) {
                        ++innerIndex;
                        break;
                    }
                }
                if (innerIndex > 0) {
                    j -= (innerIndex - 1);
                }
            } else {
                // No assignment.
                if (sortedBids[i].isRollover) {
                    _markRolloverAsProcessed(
                        sortedBids[i].rolloverPairOffTermRepoServicer,
                        sortedBids[i].bidder
                    );
                } else {
                    termAuctionBidLocker.auctionUnlockBid(
                        sortedBids[i].id,
                        sortedBids[i].bidder,
                        sortedBids[i].collateralTokens,
                        sortedBids[i].collateralAmounts
                    );
                }
            }
        }

        return totalAssignedBids;
    }

    /// Assigns offers up to `maxAssignable`
    /// @dev This method allocates pro-rata across an the marginal price group (pro-rata on the margin) and attempts to prevent residuals from accumulating to a single offer
    /// @param sortedOffers An array of sorted offers to process
    /// @param maxAssignable The maximum offer amount that can be assigned across all offers
    /// @param purchaseTokenDecimals The number of decimals of the purchase token
    /// @return The total amount assigned
    function _assignOffers(
        TermAuctionRevealedOffer[] memory sortedOffers,
        uint256 maxAssignable,
        uint256 purchaseTokenDecimals
    ) internal returns (uint256) {
        // Process revealed offers.
        uint256 totalAssignedOffers = 0;
        uint256 innerIndex = 0;
        uint256 i = 0;
        for (i = 0; i < sortedOffers.length; ++i) {
            // First, find the sub-range that contains the current price.
            (uint256 k, uint256 priceGroupAmount) = _findLastIndexForPrice(
                sortedOffers[i].offerPriceRevealed,
                sortedOffers,
                i
            );
            // NOTE: priceGroupAmount gets changed later on in this function and is used as the "remaining" priceGroupAmount during partial assignment.

            if (
                sortedOffers[i].offerPriceRevealed <= clearingPrice &&
                totalAssignedOffers < maxAssignable &&
                priceGroupAmount <= (maxAssignable - totalAssignedOffers)
            ) {
                // Full assignment.
                innerIndex = 0;
                for (; (innerIndex + i) <= k; ++innerIndex) {
                    totalAssignedOffers += _fullyAssignOffer(
                        sortedOffers[innerIndex + i]
                    );
                }
                if (innerIndex > 0) {
                    i += innerIndex - 1;
                }
            } else if (
                sortedOffers[i].offerPriceRevealed <= clearingPrice &&
                totalAssignedOffers < maxAssignable
            ) {
                // Partial assignment.
                innerIndex = 0;
                for (; (innerIndex + i) <= k; innerIndex++) {
                    if ((innerIndex + i) == k) {
                        // Last iteration of loop. Assign remaining amount left to assign.
                        totalAssignedOffers += _partiallyAssignOffer(
                            sortedOffers[innerIndex + i],
                            maxAssignable - totalAssignedOffers
                        );
                        priceGroupAmount -= maxAssignable - totalAssignedOffers;
                    } else {
                        // Assign an amount based upon the partial assignment ratio.

                        uint256 offerAmount = sortedOffers[innerIndex + i]
                            .amount;
                        Exp memory partialAssignmentRatio = div_(
                            Exp({
                                mantissa: (maxAssignable -
                                    totalAssignedOffers) *
                                    10 ** (18 - purchaseTokenDecimals)
                            }),
                            Exp({
                                mantissa: priceGroupAmount *
                                    10 ** (18 - purchaseTokenDecimals)
                            })
                        );
                        uint256 assignedAmount = (innerIndex + i) != k
                            ? mul_(
                                partialAssignmentRatio,
                                Exp({
                                    mantissa: offerAmount *
                                        10 ** (18 - purchaseTokenDecimals)
                                })
                            ).mantissa / 10 ** (18 - purchaseTokenDecimals)
                            : maxAssignable - totalAssignedOffers;

                        totalAssignedOffers += _partiallyAssignOffer(
                            sortedOffers[innerIndex + i],
                            assignedAmount
                        );
                        priceGroupAmount -= sortedOffers[innerIndex + i].amount;
                    }
                }
                if (innerIndex > 0) {
                    i += innerIndex - 1;
                }
            } else {
                // No assignment.

                // Return purchase tokens to offeror.
                termAuctionOfferLocker.unlockOfferPartial(
                    sortedOffers[i].id,
                    sortedOffers[i].offeror,
                    sortedOffers[i].amount
                );
            }
        }

        return totalAssignedOffers;
    }

    /// Calculates repurchase price given a purchase price (equivalent to principal plus interest)
    /// @param purchasePrice The purchase price
    /// @return The repurchase price obtained by applying the clearing rate on an Actual/360 day-count convention
    function _calculateRepurchasePrice(
        uint256 purchasePrice
    ) internal view returns (uint256) {
        Exp memory repurchaseFactor = add_(
            Exp({mantissa: expScale}),
            mul_(
                Exp({mantissa: dayCountFractionMantissa}),
                Exp({mantissa: clearingPrice})
            )
        );

        return
            truncate(
                mul_(
                    Exp({mantissa: purchasePrice * expScale}),
                    repurchaseFactor
                )
            );
    }

    function _calculateAndStoreClearingPrice(
        TermAuctionRevealedBid[] memory sortedBids,
        TermAuctionRevealedOffer[] memory sortedOffers
    ) internal nonReentrant returns (uint256, uint256) {
        (
            uint256 clearingPrice_,
            uint256 maxAssignable
        ) = _calculateClearingPrice(
                sortedBids,
                sortedOffers,
                CLEARING_PRICE_POST_PROCESSING_OFFSET
            );

        clearingPrice = clearingPrice_;

        return (clearingPrice_, maxAssignable);
    }

    // ========================================================================
    // = Pausable =============================================================
    // ========================================================================

    /// @dev This function pauses the TermAuction contract preventing public state changes
    /// @dev See {Pausable-_pause}.
    function pauseCompleteAuction() external onlyRole(DEFAULT_ADMIN_ROLE) {
        completeAuctionPaused = true;
        emitter.emitCompleteAuctionPaused(termAuctionId, termRepoId);
    }

    /// Unpuses the TermAuction contract allowing public state changes
    /// @dev See {Pausable-_unpause}.
    function unpauseCompleteAuction() external onlyRole(DEFAULT_ADMIN_ROLE) {
        completeAuctionPaused = false;
        emitter.emitCompleteAuctionUnpaused(termAuctionId, termRepoId);
    }

    // solhint-disable no-empty-blocks
    ///@dev required override by the OpenZeppelin UUPS module
    function _authorizeUpgrade(
        address
    ) internal view override onlyRole(DEFAULT_ADMIN_ROLE) {}
    // solhint-enable no-empty-blocks
}

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

pragma solidity ^0.8.0;

import "./IAccessControlUpgradeable.sol";
import "../utils/ContextUpgradeable.sol";
import "../utils/StringsUpgradeable.sol";
import "../utils/introspection/ERC165Upgradeable.sol";
import "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module that allows children to implement role-based access
 * control mechanisms. This is a lightweight version that doesn't allow enumerating role
 * members except through off-chain means by accessing the contract event logs. Some
 * applications may benefit from on-chain enumerability, for those cases see
 * {AccessControlEnumerable}.
 *
 * Roles are referred to by their `bytes32` identifier. These should be exposed
 * in the external API and be unique. The best way to achieve this is by
 * using `public constant` hash digests:
 *
 * ```solidity
 * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
 * ```
 *
 * Roles can be used to represent a set of permissions. To restrict access to a
 * function call, use {hasRole}:
 *
 * ```solidity
 * function foo() public {
 *     require(hasRole(MY_ROLE, msg.sender));
 *     ...
 * }
 * ```
 *
 * Roles can be granted and revoked dynamically via the {grantRole} and
 * {revokeRole} functions. Each role has an associated admin role, and only
 * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
 *
 * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
 * that only accounts with this role will be able to grant or revoke other
 * roles. More complex role relationships can be created by using
 * {_setRoleAdmin}.
 *
 * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
 * grant and revoke this role. Extra precautions should be taken to secure
 * accounts that have been granted it. We recommend using {AccessControlDefaultAdminRules}
 * to enforce additional security measures for this role.
 */
abstract contract AccessControlUpgradeable is Initializable, ContextUpgradeable, IAccessControlUpgradeable, ERC165Upgradeable {
    function __AccessControl_init() internal onlyInitializing {
    }

    function __AccessControl_init_unchained() internal onlyInitializing {
    }
    struct RoleData {
        mapping(address => bool) members;
        bytes32 adminRole;
    }

    mapping(bytes32 => RoleData) private _roles;

    bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;

    /**
     * @dev Modifier that checks that an account has a specific role. Reverts
     * with a standardized message including the required role.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     *
     * _Available since v4.1._
     */
    modifier onlyRole(bytes32 role) {
        _checkRole(role);
        _;
    }

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

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) public view virtual override returns (bool) {
        return _roles[role].members[account];
    }

    /**
     * @dev Revert with a standard message if `_msgSender()` is missing `role`.
     * Overriding this function changes the behavior of the {onlyRole} modifier.
     *
     * Format of the revert message is described in {_checkRole}.
     *
     * _Available since v4.6._
     */
    function _checkRole(bytes32 role) internal view virtual {
        _checkRole(role, _msgSender());
    }

    /**
     * @dev Revert with a standard message if `account` is missing `role`.
     *
     * The format of the revert reason is given by the following regular expression:
     *
     *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
     */
    function _checkRole(bytes32 role, address account) internal view virtual {
        if (!hasRole(role, account)) {
            revert(
                string(
                    abi.encodePacked(
                        "AccessControl: account ",
                        StringsUpgradeable.toHexString(account),
                        " is missing role ",
                        StringsUpgradeable.toHexString(uint256(role), 32)
                    )
                )
            );
        }
    }

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) public view virtual override returns (bytes32) {
        return _roles[role].adminRole;
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleGranted} event.
     */
    function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _grantRole(role, account);
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     *
     * May emit a {RoleRevoked} event.
     */
    function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
        _revokeRole(role, account);
    }

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been revoked `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     *
     * May emit a {RoleRevoked} event.
     */
    function renounceRole(bytes32 role, address account) public virtual override {
        require(account == _msgSender(), "AccessControl: can only renounce roles for self");

        _revokeRole(role, account);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event. Note that unlike {grantRole}, this function doesn't perform any
     * checks on the calling account.
     *
     * May emit a {RoleGranted} event.
     *
     * [WARNING]
     * ====
     * This function should only be called from the constructor when setting
     * up the initial roles for the system.
     *
     * Using this function in any other way is effectively circumventing the admin
     * system imposed by {AccessControl}.
     * ====
     *
     * NOTE: This function is deprecated in favor of {_grantRole}.
     */
    function _setupRole(bytes32 role, address account) internal virtual {
        _grantRole(role, account);
    }

    /**
     * @dev Sets `adminRole` as ``role``'s admin role.
     *
     * Emits a {RoleAdminChanged} event.
     */
    function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
        bytes32 previousAdminRole = getRoleAdmin(role);
        _roles[role].adminRole = adminRole;
        emit RoleAdminChanged(role, previousAdminRole, adminRole);
    }

    /**
     * @dev Grants `role` to `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleGranted} event.
     */
    function _grantRole(bytes32 role, address account) internal virtual {
        if (!hasRole(role, account)) {
            _roles[role].members[account] = true;
            emit RoleGranted(role, account, _msgSender());
        }
    }

    /**
     * @dev Revokes `role` from `account`.
     *
     * Internal function without access restriction.
     *
     * May emit a {RoleRevoked} event.
     */
    function _revokeRole(bytes32 role, address account) internal virtual {
        if (hasRole(role, account)) {
            _roles[role].members[account] = false;
            emit RoleRevoked(role, account, _msgSender());
        }
    }

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (access/IAccessControl.sol)

pragma solidity ^0.8.0;

/**
 * @dev External interface of AccessControl declared to support ERC165 detection.
 */
interface IAccessControlUpgradeable {
    /**
     * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
     *
     * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
     * {RoleAdminChanged} not being emitted signaling this.
     *
     * _Available since v3.1._
     */
    event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);

    /**
     * @dev Emitted when `account` is granted `role`.
     *
     * `sender` is the account that originated the contract call, an admin role
     * bearer except when using {AccessControl-_setupRole}.
     */
    event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Emitted when `account` is revoked `role`.
     *
     * `sender` is the account that originated the contract call:
     *   - if using `revokeRole`, it is the admin role bearer
     *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
     */
    event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);

    /**
     * @dev Returns `true` if `account` has been granted `role`.
     */
    function hasRole(bytes32 role, address account) external view returns (bool);

    /**
     * @dev Returns the admin role that controls `role`. See {grantRole} and
     * {revokeRole}.
     *
     * To change a role's admin, use {AccessControl-_setRoleAdmin}.
     */
    function getRoleAdmin(bytes32 role) external view returns (bytes32);

    /**
     * @dev Grants `role` to `account`.
     *
     * If `account` had not been already granted `role`, emits a {RoleGranted}
     * event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function grantRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from `account`.
     *
     * If `account` had been granted `role`, emits a {RoleRevoked} event.
     *
     * Requirements:
     *
     * - the caller must have ``role``'s admin role.
     */
    function revokeRole(bytes32 role, address account) external;

    /**
     * @dev Revokes `role` from the calling account.
     *
     * Roles are often managed via {grantRole} and {revokeRole}: this function's
     * purpose is to provide a mechanism for accounts to lose their privileges
     * if they are compromised (such as when a trusted device is misplaced).
     *
     * If the calling account had been granted `role`, emits a {RoleRevoked}
     * event.
     *
     * Requirements:
     *
     * - the caller must be `account`.
     */
    function renounceRole(bytes32 role, address account) external;
}

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

pragma solidity ^0.8.0;

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

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

pragma solidity ^0.8.0;

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

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

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

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

pragma solidity ^0.8.0;

import "../token/ERC20/extensions/IERC20MetadataUpgradeable.sol";

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

pragma solidity ^0.8.0;

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

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

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.2;

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

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

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    uint256 private _status;

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

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

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

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

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

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

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

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

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

pragma solidity ^0.8.0;

import "../IERC20Upgradeable.sol";

/**
 * @dev Interface for the optional metadata functions from the ERC20 standard.
 *
 * _Available since v4.1._
 */
interface IERC20MetadataUpgradeable is IERC20Upgradeable {
    /**
     * @dev Returns the name of the token.
     */
    function name() external view returns (string memory);

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

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

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/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 v4.9.0) (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 v4.4.1 (utils/Context.sol)

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

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

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

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

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

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

pragma solidity ^0.8.0;

import "./IERC165Upgradeable.sol";
import "../../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/StorageSlot.sol)
// This file was procedurally generated from scripts/generate/templates/StorageSlot.js.

pragma solidity ^0.8.0;

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

    struct BooleanSlot {
        bool value;
    }

    struct Bytes32Slot {
        bytes32 value;
    }

    struct Uint256Slot {
        uint256 value;
    }

    struct StringSlot {
        string value;
    }

    struct BytesSlot {
        bytes value;
    }

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

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

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

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

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

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

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

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

// 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: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

import "./ITermRepoServicer.sol";
import "../lib/TermAuctionBid.sol";
import "../lib/TermAuctionBidSubmission.sol";
import "../lib/TermAuctionRevealedBid.sol";
import "../lib/TermAuth.sol";
import "@openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol";

interface ITermAuctionBidLocker {
    function termRepoId() external view returns (bytes32);

    function termAuctionId() external view returns (bytes32);

    function auctionEndTime() external view returns (uint256);

    function dayCountFractionMantissa() external view returns (uint256);

    function purchaseToken() external view returns (address);

    function collateralTokens(
        IERC20Upgradeable token
    ) external view returns (bool);

    function termRepoServicer() external view returns (ITermRepoServicer);

    // ========================================================================
    // = Interface/API ========================================================
    // ========================================================================

    /// @param bidSubmission A Term Auction bid submission to borrow an amount of money at rate up to but not exceeding the bid rate
    /// @param termAuth An authentication struct containing the signed bidder wallet address
    /// @return A bytes32 unique on chain bid id.
    function lockBid(
        TermAuctionBidSubmission calldata bidSubmission,
        TermAuth calldata termAuth
    ) external returns (bytes32);

    /// @param bid A struct containing details of the bid
    /// @return A bool representing whether the bid was locked or not
    function lockRolloverBid(
        TermAuctionBid calldata bid
    ) external returns (bool);

    /// @param bidSubmissions An array of bid submissions
    /// @param termAuth An authentication struct containing the signed bidder wallet address
    /// @return A bytes32 array of unique on chain bid ids.
    function lockBids(
        TermAuctionBidSubmission[] calldata bidSubmissions,
        TermAuth calldata termAuth
    ) external returns (bytes32[] memory);

    /// @param bidSubmissions An array of Term Auction bid submissions to borrow an amount of money at rate up to but not exceeding the bid rate
    /// @param referralAddress A user address that referred the submitter of this bid
    /// @param termAuth An authentication struct containing the signed bidder wallet address
    /// @return A bytes32 array of unique on chain bid ids.
    function lockBidsWithReferral(
        TermAuctionBidSubmission[] calldata bidSubmissions,
        address referralAddress,
        TermAuth calldata termAuth
    ) external returns (bytes32[] memory);

    /// @param id A bid Id
    /// @return A struct containing details of the locked bid
    function lockedBid(
        bytes32 id
    ) external view returns (TermAuctionBid memory);

    /// @param id The id of the bid to reveal
    /// @param price The price to reveal
    /// @param nonce The user provided nonce value to generate the bid price hash
    function revealBid(bytes32 id, uint256 price, uint256 nonce) external;

    /// @param ids An array of bid ids of the bids to reveal
    /// @param prices An array of the bid prices to reveal
    /// @param nonces An array of nonce values to generate bid price hashes
    function revealBids(
        bytes32[] calldata ids,
        uint256[] calldata prices,
        uint256[] calldata nonces
    ) external;

    /// @notice unlockBid unlocks a bid and returns funds to the borrower
    /// @param id A bid id
    /// @param termAuth An authentication struct containing the signed bidder wallet address
    function unlockBid(bytes32 id, TermAuth calldata termAuth) external;

    /// @notice unlockBids unlocks multiple bids and returns funds to the borrower
    /// @param ids An array of ids to unlock
    /// @param termAuth An authentication struct containing the signed user wallet address
    function unlockBids(
        bytes32[] calldata ids,
        TermAuth calldata termAuth
    ) external;

    // ========================================================================
    // = Internal Interface/API ===============================================
    // ========================================================================

    /// @param revealedBids An array of the revealed offer ids
    /// @param expiredRolloverBids An array of the expired rollover bid ids
    /// @param unrevealedBids An array of the unrevealed offer ids
    /// @return An array of TermAuctionRevealedBid structs containing details of the revealed bids
    /// @return An array of TermAuctionBid structs containing details of the unrevealed bids
    function getAllBids(
        bytes32[] calldata revealedBids,
        bytes32[] calldata expiredRolloverBids,
        bytes32[] calldata unrevealedBids
    )
        external
        returns (TermAuctionRevealedBid[] memory, TermAuctionBid[] memory);

    /// @param id A bytes32 bid id
    /// @param bidder The address of the bidder
    /// @param bidCollateralTokens The addresses of the token used as collateral
    /// @param amounts The amounts of collateral tokens to unlock
    function auctionUnlockBid(
        bytes32 id,
        address bidder,
        address[] calldata bidCollateralTokens,
        uint256[] calldata amounts
    ) external;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice ITermAuctionBidLockerEvents is an interface that defines all events emitted by the Term Auction Bid Locker.
interface ITermAuctionBidLockerEvents {
    event TermAuctionBidLockerInitialized(
        bytes32 termRepoId,
        bytes32 termAuctionId,
        address termAuctionBidLocker,
        uint256 auctionStartTime,
        uint256 revealTime
    );

    event BidLocked(
        bytes32 termAuctionId,
        bytes32 id,
        address bidder,
        bytes32 bidPrice,
        uint256 amount,
        address token,
        address[] collateralTokens,
        uint256[] collateralAmounts,
        bool isRollover,
        address rolloverPairOffTermRepoServicer,
        address referralAddress
    );

    event BidRevealed(bytes32 termAuctionId, bytes32 id, uint256 bidPrice);

    event BidUnlocked(bytes32 termAuctionId, bytes32 id);

    event BidInShortfall(bytes32 termAuctionId, bytes32 id);

    event BidLockingPaused(bytes32 termAuctionId, bytes32 termRepoId);

    event BidLockingUnpaused(bytes32 termAuctionId, bytes32 termRepoId);

    event BidUnlockingPaused(bytes32 termAuctionId, bytes32 termRepoId);

    event BidUnlockingUnpaused(bytes32 termAuctionId, bytes32 termRepoId);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @title ITermAuctionErrors defines all errors emitted by the Term Auction
interface ITermAuctionErrors {
    /// Term contracts have already been paired.
    error AlreadyTermContractPaired();

    /// Error emmitted when the completing an auction that has already been completed
    error AuctionAlreadyCompleted();

    /// Error emmitted when the auction is not closed, but must be
    error AuctionNotClosed();

    /// Error emitted when the provided clearingOffset is not 0 or 1
    error ClearingOffsetNot0Or1(uint256 clearingOffset);

    /// Complete Auction has been paused.
    error CompleteAuctionPaused();

    /// Invalid Parameters passed into function
    error InvalidParameters(string message);

    /// Error emitted when the maximum binary search depth has been exceeded
    error MaxPriceSearchDepthExceeded(uint256 maxDepth);

    /// Error emitted when there are no bids or offers
    error NoBidsOrOffers();
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @title ITermAuctionEvents defines all events emitted by the TermAuctionContract.
interface ITermAuctionEvents {
    /// Event emitted when a new auction is initialized
    /// @param termRepoId The term ID
    /// @param termAuctionId The term auction Id
    /// @param termAuction auction contract address
    /// @param auctionEndTime The auction end time
    event TermAuctionInitialized(
        bytes32 termRepoId,
        bytes32 termAuctionId,
        address termAuction,
        uint256 auctionEndTime
    );

    /// Event emitted when a bid is assigned
    /// @param termAuctionId The auction ID
    /// @param id The bid ID
    /// @param amount The amount assigned
    event BidAssigned(bytes32 termAuctionId, bytes32 id, uint256 amount);

    /// Event emitted when an offer is assigned
    /// @param termAuctionId The term ID
    /// @param id The offer ID
    /// @param amount The amount assigned
    event OfferAssigned(bytes32 termAuctionId, bytes32 id, uint256 amount);

    /// Event emitted when an auction is completed
    /// @param termAuctionId The ID of the auction
    /// @param timestamp The timestamp of the auction completion
    /// @param block The block of the auction completion
    /// @param totalAssignedBids The total amount of bids assigned
    /// @param totalAssignedOffers The total amount of offers assigned
    /// @param clearingPrice The clearing price of the auction
    event AuctionCompleted(
        bytes32 termAuctionId,
        uint256 timestamp,
        uint256 block,
        uint256 totalAssignedBids,
        uint256 totalAssignedOffers,
        uint256 clearingPrice
    );

    /// Event emitted when an auction is cancelled.
    /// @param termAuctionId The ID of the auction.
    /// @param nonViableAuction Auction not viable due to bid and offer prices not intersecting
    event AuctionCancelled(bytes32 termAuctionId, bool nonViableAuction);

    /// Event emitted when an auction is paused.
    /// @param termAuctionId The ID of the auction.
    /// @param termRepoId The ID of the repo.
    event CompleteAuctionPaused(bytes32 termAuctionId, bytes32 termRepoId);

    /// Event emitted when an auction is unpaused.
    /// @param termAuctionId The ID of the auction.
    /// @param termRepoId The ID of the repo.
    event CompleteAuctionUnpaused(bytes32 termAuctionId, bytes32 termRepoId);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

import "../lib/TermAuctionOffer.sol";
import "../lib/TermAuctionOfferSubmission.sol";
import "../lib/TermAuctionRevealedOffer.sol";
import "../lib/TermAuth.sol";

interface ITermAuctionOfferLocker {
    function auctionEndTime() external view returns (uint256);

    // ========================================================================
    // = Interface/API ========================================================
    // ========================================================================

    /// @param offerSubmission A Term Auction offer submission to lend an amount of money at rate no lower than the offer rate
    /// @param termAuth An authentication struct containing the signed offeror wallet address
    /// @return A bytes32 unique on chain offer id.
    function lockOffer(
        TermAuctionOfferSubmission calldata offerSubmission,
        TermAuth calldata termAuth
    ) external returns (bytes32);

    /// @param offerSubmissions An array of offer submissions
    /// @param termAuth An authentication struct containing the signed offeror wallet address
    /// @return A bytes32 array of unique on chain offer ids.
    function lockOffers(
        TermAuctionOfferSubmission[] calldata offerSubmissions,
        TermAuth calldata termAuth
    ) external returns (bytes32[] memory);

    /// @param offerSubmissions An array of Term Auction offer submissions to lend an amount of money at rate no lower than the offer rate
    /// @param referralAddress A user address that referred the submitter of this offer
    /// @param termAuth An authentication struct containing the signed offeror wallet address
    /// @return A bytes32 array of unique on chain offer ids.
    function lockOffersWithReferral(
        TermAuctionOfferSubmission[] calldata offerSubmissions,
        address referralAddress,
        TermAuth calldata termAuth
    ) external returns (bytes32[] memory);

    /// @param id An offer Id
    /// @return A struct containing the details of the locked offer
    function lockedOffer(
        bytes32 id
    ) external view returns (TermAuctionOffer memory);

    /// @param id An offer Id
    /// @param price The price of the offer to reveal
    /// @param nonce The user provided nonce value to generate the bid price hash
    function revealOffer(bytes32 id, uint256 price, uint256 nonce) external;

    /// @param ids An array offer ids to reveal
    /// @param prices An array of the offer prices to reveal
    /// @param nonces An array of nonce values to generate bid price hashes
    function revealOffers(
        bytes32[] calldata ids,
        uint256[] calldata prices,
        uint256[] calldata nonces
    ) external;

    /// @notice unlockOffer unlocks an offer and returns funds to the offeror
    /// @param id An offer id
    /// @param termAuth An authentication struct containing the signed offeror wallet address
    function unlockOffer(bytes32 id, TermAuth calldata termAuth) external;

    /// @notice unlockOffers unlocks multiple offers and returns funds to the offeror
    /// @param ids An array of offer ids
    /// @param termAuth An authentication struct containing the signed user wallet address
    function unlockOffers(
        bytes32[] calldata ids,
        TermAuth calldata termAuth
    ) external;

    // ========================================================================
    // = Internal Interface/API ===============================================
    // ========================================================================

    /// @param revealedOffers An array of the revealed offer ids
    /// @param unrevealedOffers An array of the unrevealed offer ids
    /// @return An array of TermAuctionRevealedOffer structs containing details of the revealed offers
    /// @return An array of TermAuctionOffer structs containing details of the unrevealed offers
    function getAllOffers(
        bytes32[] calldata revealedOffers,
        bytes32[] calldata unrevealedOffers
    )
        external
        returns (TermAuctionRevealedOffer[] memory, TermAuctionOffer[] memory);

    /// @param id An offer Id
    /// @param offeror The address of the offeror
    /// @param amount The amount to unlock
    function unlockOfferPartial(
        bytes32 id,
        address offeror,
        uint256 amount
    ) external;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice ITermAuctionOfferLockerEvents is an interface that defines all events emitted by the Term Auction Offer Locker.
interface ITermAuctionOfferLockerEvents {
    event TermAuctionOfferLockerInitialized(
        bytes32 termRepoId,
        bytes32 termAuctionId,
        address termAuctionOfferLocker,
        uint256 auctionStartTime,
        uint256 revealTime
    );

    event OfferLocked(
        bytes32 termAuctionId,
        bytes32 id,
        address offeror,
        bytes32 offerPrice,
        uint256 amount,
        address token,
        address referralAddress
    );

    event OfferRevealed(bytes32 termAuctionId, bytes32 id, uint256 offerPrice);

    event OfferUnlocked(bytes32 termAuctionId, bytes32 id);

    event OfferLockingPaused(bytes32 termAuctionId, bytes32 termRepoId);

    event OfferLockingUnpaused(bytes32 termAuctionId, bytes32 termRepoId);

    event OfferUnlockingPaused(bytes32 termAuctionId, bytes32 termRepoId);

    event OfferUnlockingUnpaused(bytes32 termAuctionId, bytes32 termRepoId);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

import "./ITermAuctionEvents.sol";
import "./ITermAuctionBidLockerEvents.sol";
import "./ITermAuctionOfferLockerEvents.sol";
import "./ITermRepoCollateralManagerEvents.sol";
import "./ITermRepoServicerEvents.sol";
import "./ITermRepoRolloverManagerEvents.sol";
import "./ITermRepoLockerEvents.sol";
import "./ITermRepoTokenEvents.sol";
import "./ITermEventEmitterEvents.sol";
import "../lib/TermAuctionBid.sol";

interface ITermEventEmitter is
    ITermAuctionEvents,
    ITermAuctionBidLockerEvents,
    ITermAuctionOfferLockerEvents,
    ITermRepoCollateralManagerEvents,
    ITermRepoServicerEvents,
    ITermRepoRolloverManagerEvents,
    ITermRepoLockerEvents,
    ITermRepoTokenEvents,
    ITermEventEmitterEvents
{
    // ========================================================================
    // = TermAuction Events ===================================================
    // ========================================================================

    /// @param termRepoId The id of the current Term Repo deployment being initialized
    /// @param termAuctionId The id of the auction being initialized
    /// @param termAuction The address of the auction contract being initialized
    /// @param auctionEndTime The end time of the auction being initialized
    function emitTermAuctionInitialized(
        bytes32 termRepoId,
        bytes32 termAuctionId,
        address termAuction,
        uint256 auctionEndTime
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id A bid id
    /// @param amount The amount assigned to this bid
    function emitBidAssigned(
        bytes32 termAuctionId,
        bytes32 id,
        uint256 amount
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id An offer id
    /// @param amount The amount assigned to this offer
    function emitOfferAssigned(
        bytes32 termAuctionId,
        bytes32 id,
        uint256 amount
    ) external;

    /// @param termAuctionId The Term Auction id of auction completed
    /// @param timestamp The timestamp of the current block
    /// @param blockNumber The number of the current block
    /// @param totalAssignedBids The number of assigned bids in the auction
    /// @param totalAssignedOffers The number of assigned offers in the auction
    /// @param clearingPrice The clearing price of the auction
    function emitAuctionCompleted(
        bytes32 termAuctionId,
        uint256 timestamp,
        uint256 blockNumber,
        uint256 totalAssignedBids,
        uint256 totalAssignedOffers,
        uint256 clearingPrice
    ) external;

    /// @param nonViableAuction Auction not viable due to bid and offer prices not intersecting
    function emitAuctionCancelled(
        bytes32 termAuctionId,
        bool nonViableAuction
    ) external;

    /// @param termAuctionId The id of the auction paused
    /// @param termRepoId The Term Repo id associated with auction paused
    function emitCompleteAuctionPaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of the auction unpaused
    /// @param termRepoId The Term Repo id associated with auction unpaused
    function emitCompleteAuctionUnpaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    // ========================================================================
    // = TermAuctionBidLocker Events ==========================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with BidLocker initialized
    /// @param termAuctionId The Term Auction id associated with BidLocker initialized
    /// @param termAuctionBidLocker The address of the TermAuctionBidLocker contract being intialized
    /// @param auctionStartTime The time at which auction bids will be accepted for submission
    /// @param revealTime The time at which sealed auction bids can be revealed
    function emitTermAuctionBidLockerInitialized(
        bytes32 termRepoId,
        bytes32 termAuctionId,
        address termAuctionBidLocker,
        uint256 auctionStartTime,
        uint256 revealTime
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param bid A struct containing details of the locked bid
    /// @param referralAddress The address of the referrer. Zero Address if none.
    function emitBidLocked(
        bytes32 termAuctionId,
        TermAuctionBid calldata bid,
        address referralAddress
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id The bid id
    /// @param bidPrice The revealed price of the bid
    function emitBidRevealed(
        bytes32 termAuctionId,
        bytes32 id,
        uint256 bidPrice
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id A bid id
    function emitBidUnlocked(bytes32 termAuctionId, bytes32 id) external;

    /// @param termAuctionId A Term Auction id
    /// @param id A bid id
    function emitBidInShortfall(bytes32 termAuctionId, bytes32 id) external;

    /// @param termAuctionId The id of Term Auction where bid locking is paused
    /// @param termRepoId The Term Repo id where bid locking is paused
    function emitBidLockingPaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of Term Auction where bid locking is unpaused
    /// @param termRepoId The Term Repo id where bid locking is unpaused
    function emitBidLockingUnpaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of Term Auction where bid unlocking is paused
    /// @param termRepoId The Term Repo id where bid unlocking is paused
    function emitBidUnlockingPaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of Term Auction where bid unlocking is unpaused
    /// @param termRepoId The Term Repo id where bid unlocking is unpaused
    function emitBidUnlockingUnpaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    // ========================================================================
    // = TermAuctionOfferLocker Events ========================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with OfferLocker initialized
    /// @param termAuctionId The Term Auction id associated with OfferLocker initialized
    /// @param termAuctionOfferLocker The address of the TermAuctionOfferLocker contract being intialized
    /// @param auctionStartTime The time at which auction bids will be accepted for submission
    /// @param revealTime The time at which sealed auction bids can be revealed
    function emitTermAuctionOfferLockerInitialized(
        bytes32 termRepoId,
        bytes32 termAuctionId,
        address termAuctionOfferLocker,
        uint256 auctionStartTime,
        uint256 revealTime
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id An offer id
    /// @param offeror The address of the offeror
    /// @param offerPrice The offer price
    /// @param amount The amount of purchase tokens offered
    /// @param purchaseToken The address of the purchase token being offered
    /// @param referralAddress The address of the referrer. Zero Address if none.
    function emitOfferLocked(
        bytes32 termAuctionId,
        bytes32 id,
        address offeror,
        bytes32 offerPrice,
        uint256 amount,
        address purchaseToken,
        address referralAddress
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id An offer id
    /// @param offerPrice The offer price revealed
    function emitOfferRevealed(
        bytes32 termAuctionId,
        bytes32 id,
        uint256 offerPrice
    ) external;

    /// @param termAuctionId A Term Auction id
    /// @param id An offer id
    function emitOfferUnlocked(bytes32 termAuctionId, bytes32 id) external;

    /// @param termAuctionId The id of Term Auction where offer locking is paused
    /// @param termRepoId The Term Repo id where offer locking is paused
    function emitOfferLockingPaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of Term Auction where offer locking is unpaused
    /// @param termRepoId The Term Repo id where offer locking is unpaused
    function emitOfferLockingUnpaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of Term Auction where offer unlocking is paused
    /// @param termRepoId The Term Repo id where offer unlocking is paused
    function emitOfferUnlockingPaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    /// @param termAuctionId The id of Term Auction where offer unlocking is unpaused
    /// @param termRepoId The Term Repo id where offer unlocking is unpaused
    function emitOfferUnlockingUnpaused(
        bytes32 termAuctionId,
        bytes32 termRepoId
    ) external;

    // ========================================================================
    // = TermRepoCollateralManager Events =========================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with collateral manger being initialized
    /// @param termRepoCollateralManager The address of the TermRepoCollateralManager contract being intialized
    /// @param collateralTokens An array containing a list of the addresses of all accepted collateral tokens
    /// @param initialCollateralRatios An array containing the initial collateral ratios for each collateral token
    /// @param maintenanceCollateralRatios An array containing the maintenance collateral ratios for each collateral token
    /// @param liquidatedDamagesSchedule An array containing the liquidated damages applicable to each collateral token
    function emitTermRepoCollateralManagerInitialized(
        bytes32 termRepoId,
        address termRepoCollateralManager,
        address[] calldata collateralTokens,
        uint256[] calldata initialCollateralRatios,
        uint256[] calldata maintenanceCollateralRatios,
        uint256[] calldata liquidatedDamagesSchedule
    ) external;

    /// @param termRepoId The Term Repo id for the Term Repo being reopened
    /// @param termRepoCollateralManager The TermRepoCollateralManager address for the Term Repo being reopened
    /// @param termAuctionBidLocker New TermAuctionBidLocker to be paired for reopening
    function emitPairReopeningBidLocker(
        bytes32 termRepoId,
        address termRepoCollateralManager,
        address termAuctionBidLocker
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param collateralToken The address of the collateral token locked
    /// @param amount The amount of collateral being locked
    function emitCollateralLocked(
        bytes32 termRepoId,
        address borrower,
        address collateralToken,
        uint256 amount
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param collateralToken The address of the collateral token locked
    /// @param amount The amount of collateral being unlocked
    function emitCollateralUnlocked(
        bytes32 termRepoId,
        address borrower,
        address collateralToken,
        uint256 amount
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param liquidator The address of the liquidator
    /// @param closureAmount The amount of repurchase exposure covered
    /// @param collateralToken The address of the collateral tokens liquidated
    /// @param amountLiquidated The amount of collateral tokens liquidated
    function emitLiquidation(
        bytes32 termRepoId,
        address borrower,
        address liquidator,
        uint256 closureAmount,
        address collateralToken,
        uint256 amountLiquidated,
        uint256 protocolSeizureAmount,
        bool defaultLiquidation
    ) external;

    /// @param termRepoId The id of Term Repo where liquidations are paused
    function emitLiquidationPaused(bytes32 termRepoId) external;

    /// @param termRepoId The id of Term Repo where liquidation is unpaused
    function emitLiquidationUnpaused(bytes32 termRepoId) external;

    // ========================================================================
    // = TermRepoServicer Events ===============================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with TermRepoServicer being initialized
    /// @param termRepoServicer The address of the TermRepoServicer contract being initialized
    /// @param purchaseToken The address of the purchase token
    /// @param maturityTimestamp The time at which repurchase is due
    /// @param endOfRepurchaseWindow The time at which the repurchase window ends
    /// @param redemptionTimestamp The time when redemption of Term Repo Tokens begins
    function emitTermRepoServicerInitialized(
        bytes32 termRepoId,
        address termRepoServicer,
        address purchaseToken,
        uint256 maturityTimestamp,
        uint256 endOfRepurchaseWindow,
        uint256 redemptionTimestamp
    ) external;

    /// @param termRepoId The Term Repo id for the Term Repo being reopened
    /// @param termRepoServicer The address of the TermRepoServicer contract for the Term Repo being reopened
    /// @param termAuctionOfferLocker The TermAuctionOfferLocker to be paired for reopening
    /// @param termAuction The address of the TermAuction contract to be paired for reopening
    function emitReopeningOfferLockerPaired(
        bytes32 termRepoId,
        address termRepoServicer,
        address termAuctionOfferLocker,
        address termAuction
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param offeror The address of the offeror
    /// @param amount The offer amount to be locked
    /// @notice This event is not to be confused with OfferLocked by TermOfferLocker
    /// @notice Both will be triggered, this one specifically refers to corresponding action taken by Term Servicer
    function emitOfferLockedByServicer(
        bytes32 termRepoId,
        address offeror,
        uint256 amount
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param offeror The address of the offeror
    /// @param amount The offer amount to be unlocked
    /// @notice This event is not to be confused with OfferUnlocked by TermOfferLocker
    /// @notice Both will be triggered, this one specifically refers to corresponding action taken by Term Servicer
    function emitOfferUnlockedByServicer(
        bytes32 termRepoId,
        address offeror,
        uint256 amount
    ) external;

    /// @param offerId Unique id for offer
    /// @param offeror The address of the offeror
    /// @param purchasePrice The offer amount fulfilled
    /// @param repurchasePrice The repurchase price due to offeror at maturity
    /// @param repoTokensMinted The amount of Term Repo Tokens minted to offeror
    function emitOfferFulfilled(
        bytes32 offerId,
        address offeror,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        uint256 repoTokensMinted
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param redeemer The address of the redeemer
    /// @param redemptionAmount The amount of TermRepoTokens redeemed
    /// @param redemptionHaircut The haircut applied to redemptions (if any) due to unrecoverable repo exposure
    function emitTermRepoTokensRedeemed(
        bytes32 termRepoId,
        address redeemer,
        uint256 redemptionAmount,
        uint256 redemptionHaircut
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param bidder The address of the bidder
    /// @param purchasePrice The bid amount fulfilled in auction
    /// @param repurchasePrice The repurchase price due at maturity
    /// @param servicingFees The fees earned by the protocol
    function emitBidFulfilled(
        bytes32 termRepoId,
        address bidder,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        uint256 servicingFees
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param purchasePrice The purchase price received from new TermRepo
    /// @param repurchasePrice The new repurchase price due at maturity of new TermRepo
    /// @param servicingFees The fees earned by the protocol
    function emitExposureOpenedOnRolloverNew(
        bytes32 termRepoId,
        address borrower,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        uint256 servicingFees
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param amountRolled The repurchase exposure balance closed on old Term Repo
    function emitExposureClosedOnRolloverExisting(
        bytes32 termRepoId,
        address borrower,
        uint256 amountRolled
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param amount The amount submitted for repurchase
    function emitRepurchasePaymentSubmitted(
        bytes32 termRepoId,
        address borrower,
        uint256 amount
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param minter The address of the minter
    /// @param netTokensReceived The amount of Term Repo Tokens received by minter net of servicing fees
    /// @param servicingFeeTokens The number of Term Repo Tokens retained by protocol in servicing fees
    /// @param repurchasePrice The repurchase exposure opened by minter against Term Repo Token mint
    function emitMintExposure(
        bytes32 termRepoId,
        address minter,
        uint256 netTokensReceived,
        uint256 servicingFeeTokens,
        uint256 repurchasePrice
    ) external;

    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    /// @param closeAmount The amount of repurchase exposure to close
    function emitBurnCollapseExposure(
        bytes32 termRepoId,
        address borrower,
        uint256 closeAmount
    ) external;

    // ========================================================================
    // = TermRepoRolloverManager Events ===========================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with TermRepoRolloverManager being initialized
    /// @param rolloverManager The address of the TermRepoRolloverManager contract being initialized
    function emitTermRepoRolloverManagerInitialized(
        bytes32 termRepoId,
        address rolloverManager
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param rolloverTermAuctionId The Term Auction Id that rollover bid will be submitted into
    function emitRolloverTermApproved(
        bytes32 termRepoId,
        bytes32 rolloverTermAuctionId
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param rolloverTermAuctionId The Term Auction Id whose rollover approval is revoked
    function emitRolloverTermApprovalRevoked(
        bytes32 termRepoId,
        bytes32 rolloverTermAuctionId
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param rolloverTermRepoId Term Repo Id of Rollover Term Repo
    /// @param borrower The address of the borrower
    /// @param rolloverAuction The address of the auction being rolled over to
    /// @param rolloverAmount The repurchase amount being rolled over
    /// @param hashedBidPrice The hash of the rollover bid price
    function emitRolloverElection(
        bytes32 termRepoId,
        bytes32 rolloverTermRepoId,
        address borrower,
        address rolloverAuction,
        uint256 rolloverAmount,
        bytes32 hashedBidPrice
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param borrower The address of the borrower
    function emitRolloverCancellation(
        bytes32 termRepoId,
        address borrower
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param borrower The address of the borrower
    function emitRolloverBidLockSucceeded(
        bytes32 termRepoId,
        address borrower
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param borrower The address of the borrower
    function emitRolloverBidLockFailed(
        bytes32 termRepoId,
        address borrower
    ) external;

    /// @param termRepoId The Term Repo id of existing Term Repo
    /// @param borrower The address of the borrower
    function emitRolloverProcessed(
        bytes32 termRepoId,
        address borrower
    ) external;

    // ========================================================================
    // = TermRepoLocker Events ======================================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with TermRepoLocker contract being initialized
    /// @param termRepoLocker The address of the TermRepoLocker contract being initialized
    function emitTermRepoLockerInitialized(
        bytes32 termRepoId,
        address termRepoLocker
    ) external;

    /// @param termRepoId A Term Repo id
    function emitTermRepoLockerTransfersPaused(bytes32 termRepoId) external;

    /// @param termRepoId A Term Repo id
    function emitTermRepoLockerTransfersUnpaused(bytes32 termRepoId) external;

    // ========================================================================
    // = TermRepoToken Events =====================================================
    // ========================================================================

    /// @param termRepoId The Term Repo id associated with the TermRepoToken being initalized
    /// @param termRepoToken The address of the TermRepoToken contract being initialized
    /// @param redemptionRatio The number of purchase tokens redeemable per unit of Term Repo Token at par
    function emitTermRepoTokenInitialized(
        bytes32 termRepoId,
        address termRepoToken,
        uint256 redemptionRatio
    ) external;

    /// @param termRepoId The Term Repo id associated with the TermRepoToken where minting is paused
    function emitTermRepoTokenMintingPaused(bytes32 termRepoId) external;

    /// @param termRepoId The Term Repo id associated with the TermRepoToken where minting is unpaused
    function emitTermRepoTokenMintingUnpaused(bytes32 termRepoId) external;

    /// @param termRepoId The Term Repo id associated with the TermRepoToken where burning is paused
    function emitTermRepoTokenBurningPaused(bytes32 termRepoId) external;

    /// @param termRepoId The Term Repo id associated with the TermRepoToken where burning is unpaused
    function emitTermRepoTokenBurningUnpaused(bytes32 termRepoId) external;

    // ========================================================================
    // = TermEventEmitter Events ==============================================
    // ========================================================================

    /// @param termRepoId The id of the Term Repo being delisted
    function emitDelistTermRepo(bytes32 termRepoId) external;

    /// @param termAuctionId The id of the Term Auction being delisted
    function emitDelistTermAuction(bytes32 termAuctionId) external;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

interface ITermEventEmitterEvents {
    /// @notice Event emitted when a new Term Repo is delisted on Term Finance
    /// @param termRepoId unique identifier for a Term Repo
    event DelistTermRepo(bytes32 termRepoId);

    /// @notice Event emitted when a new Term Auction is delisted on Term Finance
    /// @param termAuctionId unique identifier for a Term Auction
    event DelistTermAuction(bytes32 termAuctionId);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

import "../lib/ExponentialNoError.sol";
import "../lib/TermAuth.sol";
import "./ITermRepoLocker.sol";

/// @notice ITermManager represents a contract that manages all
interface ITermRepoCollateralManager {
    // ========================================================================
    // = State Variables  =====================================================
    // ========================================================================

    function termRepoLocker() external view returns (ITermRepoLocker);

    function maintenanceCollateralRatios(
        address
    ) external view returns (uint256);

    function initialCollateralRatios(address) external view returns (uint256);

    function numOfAcceptedCollateralTokens() external view returns (uint8);

    function collateralTokens(uint256 index) external view returns (address);

    function encumberedCollateralRemaining() external view returns (bool);

    // ========================================================================
    // = Auction Functions  ===================================================
    // ========================================================================

    /// @param bidder The bidder's address
    /// @param collateralToken The address of the token to be used as collateral
    /// @param amount The amount of the token to lock
    function auctionLockCollateral(
        address bidder,
        address collateralToken,
        uint256 amount
    ) external;

    /// @param bidder The bidder's address
    /// @param collateralToken The address of the token used as collateral
    /// @param amount The amount of collateral tokens to unlock
    function auctionUnlockCollateral(
        address bidder,
        address collateralToken,
        uint256 amount
    ) external;

    // ========================================================================
    // = Rollover Functions  ==================================================
    // ========================================================================

    /// @param borrower The borrower's address
    /// @param rolloverProportion The proportion of the collateral to be unlocked, equal to the proportion of the collateral repaid
    /// @param rolloverTermRepoLocker The address of the new TermRepoLocker contract to roll into
    /// @return An array representing a list of accepted collateral token addresses
    /// @return An array containing the amount of collateral tokens to pairoff and transfer to new TermRepoLocker to roll into
    function transferRolloverCollateral(
        address borrower,
        uint256 rolloverProportion,
        address rolloverTermRepoLocker
    ) external returns (address[] memory, uint256[] memory);

    /// @param borrower The address of the borrower
    /// @param collateralToken The address of a collateral token
    /// @param amount The amount of collateral tokens to lock
    function acceptRolloverCollateral(
        address borrower,
        address collateralToken,
        uint256 amount
    ) external;

    /// @param rolloverAuction The address of the rollover auction
    function approveRolloverAuction(address rolloverAuction) external;

    // ========================================================================
    // = APIs  ================================================================
    // ========================================================================

    /// @param collateralToken The address of the collateral token to lock
    /// @param amount The amount of collateral token to lock
    /// @param termAuth An authentication struct containing the signed user wallet address
    function externalLockCollateral(
        address collateralToken,
        uint256 amount,
        TermAuth calldata termAuth
    ) external;

    /// @param collateralToken The address of the collateral token to unlock
    /// @param amount The amount of collateral token to unlock
    /// @param termAuth An authentication struct containing the signed user wallet address
    function externalUnlockCollateral(
        address collateralToken,
        uint256 amount,
        TermAuth calldata termAuth
    ) external;

    /// @param borrower The address of the borrower
    /// @return The market value of borrower's locked collateral denominated in USD
    function getCollateralMarketValue(
        address borrower
    ) external view returns (uint256);

    // ========================================================================
    // = Margin Maintenance Functions  ========================================
    // ========================================================================

    /// @param borrower The address of the borrower
    function unlockCollateralOnRepurchase(address borrower) external;

    /// @param borrower The address of the borrower
    /// @param collateralTokenAddresses Collateral token addresses
    /// @param collateralTokenAmounts Collateral token amounts
    function journalBidCollateralToCollateralManager(
        address borrower,
        address[] calldata collateralTokenAddresses,
        uint256[] calldata collateralTokenAmounts
    ) external;

    /// @param borrower The address of the borrower
    /// @param collateralToken Collateral token addresse
    /// @param amount Collateral token amount
    function mintOpenExposureLockCollateral(
        address borrower,
        address collateralToken,
        uint256 amount
    ) external;

    /// @param collateralToken The collateral token address of tokens locked
    /// @param amountToLock The amount of collateral tokens to lock
    function calculateMintableExposure(
        address collateralToken,
        uint256 amountToLock
    ) external view returns (ExponentialNoError.Exp memory);

    /// @param borrower The address of the borrower
    /// @param collateralToken The collateral token address to query
    /// @return uint256 The amount of collateralToken locked on behalf of borrower
    function getCollateralBalance(
        address borrower,
        address collateralToken
    ) external view returns (uint256);

    /// @param borrower The address of the borrower
    /// @return An array of collateral token addresses
    /// @return An array collateral token balances locked on behalf of borrower
    function getCollateralBalances(
        address borrower
    ) external view returns (address[] memory, uint256[] memory);

    /// @param borrower The address of the borrower
    /// @param closureAmounts An array specifying the amounts of Term Repo exposure the liquidator proposes to cover in liquidation; an amount is required to be specified for each collateral token
    /// @param termAuth An authentication struct containing the signed user wallet address
    function batchDefault(
        address borrower,
        uint256[] calldata closureAmounts,
        TermAuth calldata termAuth
    ) external;

    /// @param borrower The address of the borrower
    /// @param closureAmounts An array specifying the amounts of Term Repo exposure the liquidator proposes to cover in liquidation; an amount is required to be specified for each collateral token
    /// @param termAuth An authentication struct containing the signed user wallet address
    function batchLiquidation(
        address borrower,
        uint256[] calldata closureAmounts,
        TermAuth calldata termAuth
    ) external;

    /// @param borrower The address of the borrower
    /// @param closureRepoTokenAmounts An array specifying the amounts of Term Repo Tokens the liquidator proposes to cover borrower repo exposure in liquidation; an amount is required to be specified for each collateral token
    /// @param termAuth An authentication struct containing the signed user wallet address
    function batchLiquidationWithRepoToken(
        address borrower,
        uint256[] calldata closureRepoTokenAmounts,
        TermAuth calldata termAuth
    ) external;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice ITermRepoCollateralManagerEvents is an interface that defines all events emitted by Term Repo Collateral Manager.
interface ITermRepoCollateralManagerEvents {
    /// @notice Event emitted when a Term Repo Collateral Manager is initialized.
    /// @param termRepoId                  term identifier
    /// @param collateralTokens        addresses of accepted collateral tokens
    /// @param initialCollateralRatios list of initial collateral ratios for each collateral token in the same order as collateral tokens list
    /// @param maintenanceCollateralRatios       list of maintenance ratios for each collateral token in the same order as collateral tokens list
    /// @param liquidatedDamagesSchedule    liquidation discounts for collateral tokens
    event TermRepoCollateralManagerInitialized(
        bytes32 termRepoId,
        address termRepoCollateralManager,
        address[] collateralTokens,
        uint256[] initialCollateralRatios,
        uint256[] maintenanceCollateralRatios,
        uint256[] liquidatedDamagesSchedule
    );

    /// @notice Event emitted when existing Term Repo Locker is reopened to another auction group
    /// @param termRepoId                     term identifier
    /// @param termRepoCollateralManager          address of collateral manager
    /// @param termAuctionBidLocker       address of auction bid locker paired through reopening
    event PairReopeningBidLocker(
        bytes32 termRepoId,
        address termRepoCollateralManager,
        address termAuctionBidLocker
    );

    /// @notice Event emitted when collateral is locked.
    /// @param termRepoId             term identifier
    /// @param borrower           address of borrower who locked collateral
    /// @param collateralToken    address of collateral token
    /// @param amount             amount of collateral token locked
    event CollateralLocked(
        bytes32 termRepoId,
        address borrower,
        address collateralToken,
        uint256 amount
    );

    /// @notice Event emitted when collateral is locked.
    /// @param termRepoId             term identifier
    /// @param borrower           address of borrower who locked collateral
    /// @param collateralToken    address of collateral token
    /// @param amount             amount of collateral token unlocked
    event CollateralUnlocked(
        bytes32 termRepoId,
        address borrower,
        address collateralToken,
        uint256 amount
    );

    /// @notice Event emitted when a liquidation occurs
    /// @param termRepoId                term identifier
    /// @param borrower              address of borrower being liquidated
    /// @param liquidator            address of liquidator
    /// @param closureAmount       amount of loan repaid by liquidator
    /// @param collateralToken       address of collateral token liquidated
    /// @param amountLiquidated      amount of collateral liquidated
    /// @param protocolSeizureAmount amount of collateral liquidated and seized by protocol as fee
    /// @param defaultLiquidation    boolean indicating if liquidation is a default or not
    event Liquidation(
        bytes32 termRepoId,
        address borrower,
        address liquidator,
        uint256 closureAmount,
        address collateralToken,
        uint256 amountLiquidated,
        uint256 protocolSeizureAmount,
        bool defaultLiquidation
    );

    /// @notice Event emitted when a Liquidations are paused for a term
    /// @param termRepoId                     term identifier
    event LiquidationsPaused(bytes32 termRepoId);

    /// @notice Event emitted when a Liquidations are unpaused for a term
    /// @param termRepoId                     term identifier
    event LiquidationsUnpaused(bytes32 termRepoId);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice TermRepoLocker contracts lock collateral and purchase tokens
/// @notice Methods should only be callable from paired TermManager.
interface ITermRepoLocker {
    /// @notice Locks tokens from origin wallet
    /// @notice Reverts if caller doesn't have SERVICER_ROLE
    /// @param originWallet Origin wallet to transfer tokens from
    /// @param token Address of token being transferred
    /// @param amount Amount of tokens to transfer
    function transferTokenFromWallet(
        address originWallet,
        address token,
        uint256 amount
    ) external;

    /// @notice Unlocks tokens to destination wallet
    /// @dev Reverts if caller doesn't have SERVICER_ROLE
    /// @param destinationWallet Destination wallet to unlock tokens to
    /// @param token Address of token being unlocked
    /// @param amount Amount of tokens to unlock
    function transferTokenToWallet(
        address destinationWallet,
        address token,
        uint256 amount
    ) external;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice ITermRepoLockerEvents is an interface that defines all events emitted by the TermRepoLocker.
interface ITermRepoLockerEvents {
    /// @notice Event emitted when a TermRepoLocker is initialized.
    /// @param termRepoId term identifier
    /// @param termRepoLocker address of initialized term repo locker
    event TermRepoLockerInitialized(bytes32 termRepoId, address termRepoLocker);

    /// @notice Event emitted transfers for a TermRepoLocker are paused.
    /// @param termRepoId term identifier
    event TermRepoLockerTransfersPaused(bytes32 termRepoId);

    /// @notice Event emitted transfers for a TermRepoLocker are unpaused.
    /// @param termRepoId term identifier
    event TermRepoLockerTransfersUnpaused(bytes32 termRepoId);
}

//SPDX-License-Identifier: Unlicense
pragma solidity ^0.8.18;

import "../lib/TermAuth.sol";
import "../lib/TermRepoRolloverElection.sol";
import "../lib/TermRepoRolloverElectionSubmission.sol";

interface ITermRepoRolloverManager {
    // ========================================================================
    // = APIs  ================================================================
    // ========================================================================

    /// @notice An external function that accepted Term Repo rollover instructions
    /// @param termRepoRolloverElectionSubmission A struct containing borrower rollover instructions
    /// @param termAuth An authentication struct containing the signed user wallet address
    function electRollover(
        TermRepoRolloverElectionSubmission
            calldata termRepoRolloverElectionSubmission,
        TermAuth calldata termAuth
    ) external;

    /// @notice A view function that returns borrower rollover instructions
    /// @param borrower The address of the borrower
    /// @return A struct containing borrower rollover instructions
    function getRolloverInstructions(
        address borrower
    ) external view returns (TermRepoRolloverElection memory);

    /// @notice An external function to cancel previously submitted rollover instructions, if it hasn't been locked into an auction
    /// @param termAuth An authentication struct containing the signed user wallet address
    function cancelRollover(TermAuth calldata termAuth) external;

    /// @notice An external function that submits rollover bids given a list of borrower addresses
    /// @param borrowersToRollover An array containing borrower addresses to process for rollover
    function batchProcessRollovers(
        address[] calldata borrowersToRollover
    ) external;

    // ========================================================================
    // = Fulfiller Functions ================================================
    // ========================================================================

    /// @notice An external function called by repo servicer to to mark rollover as fulfilled
    /// @param borrower The address of the borrower
    function fulfillRollover(address borrower) external;
}

//SPDX-License-Identifier: Unlicense
pragma solidity ^0.8.18;

/// @notice ITermRepoCollateralManagerEvents is an interface that defines all events emitted by Term Repo Collateral Manager.
interface ITermRepoRolloverManagerEvents {
    /// @notice Event emitted when a rollover manager is initialized
    /// @param termRepoId A Term Repo id
    /// @param rolloverManager Address of rollover manager
    event TermRepoRolloverManagerInitialized(
        bytes32 termRepoId,
        address rolloverManager
    );

    /// @notice Event emitted when a rollover manager approves a future term as a destination for borrows
    /// @param termRepoId A Term Repo id
    /// @param rolloverTermAuctionId The Term Auction Id that rollover bid will be submitted into
    event RolloverTermApproved(
        bytes32 termRepoId,
        bytes32 rolloverTermAuctionId
    );

    /// @notice Event emitted when a rollover manager revokes approval for a future term as a destination for borrows
    /// @param termRepoId A Term Repo id
    /// @param rolloverTermAuctionId The Term Auction Id that rollover bid will be submitted into
    event RolloverTermApprovalRevoked(
        bytes32 termRepoId,
        bytes32 rolloverTermAuctionId
    );

    /// @notice Event emitted when a borrower elects a rollover contract
    /// @param termRepoId A Term Repo id
    /// @param rolloverTermRepoId Term Repo Id of Rollover Term Repo
    /// @param borrower The address of the borrower
    /// @param rolloverAuction The address of rollover term contract
    /// @param rolloverAmount Amount of purchase currency borrower is rolling over
    /// @param hashedBidPrice The hash of rollover bid price
    event RolloverElection(
        bytes32 termRepoId,
        bytes32 rolloverTermRepoId,
        address borrower,
        address rolloverAuction,
        uint256 rolloverAmount,
        bytes32 hashedBidPrice
    );

    /// @notice Event emitted when a borrower cancels a rollover election
    /// @param termRepoId A Term Repo id
    /// @param borrower The address of the borrower
    event RolloverCancellation(bytes32 termRepoId, address borrower);

    /// @notice Event emitted when a bid is locked for a borrower rollover
    /// @param termRepoId A Term Repo id
    /// @param borrower The address of borrower
    event RolloverBidLockSucceeded(bytes32 termRepoId, address borrower);

    /// @notice Event emitted when a bid fails to be locked for a borrower rollover
    /// @param termRepoId A Term Repo id
    /// @param borrower The address of borrower
    event RolloverBidLockFailed(bytes32 termRepoId, address borrower);

    /// @notice Event emitted when a rollover is processed completely
    /// @param termRepoId A Term Repo id
    /// @param borrower The address of borrower
    event RolloverProcessed(bytes32 termRepoId, address borrower);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

import "../lib/TermAuth.sol";
import "./ITermRepoCollateralManager.sol";
import "./ITermRepoRolloverManager.sol";
import "./ITermRepoLocker.sol";

/// @notice ITermRepoServicer represents a contract that manages all
interface ITermRepoServicer {
    // ========================================================================
    // = State Variables  =====================================================
    // ========================================================================

    function endOfRepurchaseWindow() external view returns (uint256);

    function maturityTimestamp() external view returns (uint256);

    function redemptionTimestamp() external view returns (uint256);

    function purchaseToken() external view returns (address);

    function servicingFee() external view returns (uint256);

    function termRepoCollateralManager()
        external
        view
        returns (ITermRepoCollateralManager);

    function termRepoRolloverManager()
        external
        view
        returns (ITermRepoRolloverManager);

    function termRepoLocker() external view returns (ITermRepoLocker);

    // ========================================================================
    // = Auction Functions  ===================================================
    // ========================================================================

    /// @param offeror The address of the offeror
    /// @param amount The amount of purchase tokens to lock
    function lockOfferAmount(address offeror, uint256 amount) external;

    /// @param offeror The address of the offeror
    /// @param amount The amount of purchase tokens to unlocked
    function unlockOfferAmount(address offeror, uint256 amount) external;

    /// @param offeror The address of the offeror
    /// @param purchasePrice The offer amount to fulfill
    /// @param repurchasePrice The repurchase price due to offeror at maturity
    /// @param offerId A unique offer id
    function fulfillOffer(
        address offeror,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        bytes32 offerId
    ) external;

    /// @param redeemer The address of redeemer
    /// @param amountToRedeem The amount of TermRepoTokens to redeem
    function redeemTermRepoTokens(
        address redeemer,
        uint256 amountToRedeem
    ) external;

    /// @dev This method allows MINTER_ROLE to open repurchase price exposure against a TermRepoToken mint of corresponding value outside of a Term Auction to create new supply
    /// @param amount The amount of Term Repo Tokens to mint
    /// @param collateralAmounts An array containing an amount of collateral token for each token in collateral basket
    /// @param termAuth An authentication struct containing the signed user wallet address
    function mintOpenExposure(
        uint256 amount,
        uint256[] calldata collateralAmounts,
        TermAuth calldata termAuth
    ) external;

    /// @param bidder The address of the bidder
    /// @param purchasePrice The bid amount to fulfill
    /// @param repurchasePrice The repurchase price due at maturity
    /// @param collateralTokens Collateral token addresses
    /// @param collateralAmounts Collateral token amounts
    /// @param dayCountFractionMantissa Actual/360 day count fraction parameter from Term Auction Group
    function fulfillBid(
        address bidder,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        address[] calldata collateralTokens,
        uint256[] calldata collateralAmounts,
        uint256 dayCountFractionMantissa
    ) external;

    // ========================================================================
    // = Rollover Functions  ==================================================
    // ========================================================================

    /// @param termAuction The address of a TermAuction contract to receive autioneer role
    function approveRolloverAuction(address termAuction) external;

    /// @param borrower The address of the borrower rolling into new Term Repo
    /// @param purchasePrice The purchase price received from new TermRepo
    /// @param repurchasePrice The new repurchase price due at maturity of new TermRepo
    /// @param previousTermRepoLocker The address of the old TermRepoLocker contract
    /// @param dayCountFractionMantissa Actual/360 day count fraction parameter from Term Auction Group
    /// @return The net purchase price received in after deducing protocol servicing fees
    function openExposureOnRolloverNew(
        address borrower,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        address previousTermRepoLocker,
        uint256 dayCountFractionMantissa
    ) external returns (uint256);

    /// @param borrower The address of the borrower
    /// @param rolloverSettlementAmount The amount of net proceeds received from new TermRepo to pay down existing repurchase obligation due to old Term Repo
    /// @return A uint256 representing the proportion of total repurchase due to old Term Repo from borrower settled by proceeds from new TermRepo
    function closeExposureOnRolloverExisting(
        address borrower,
        uint256 rolloverSettlementAmount
    ) external returns (uint256);

    // ========================================================================
    // = APIs  ================================================================
    // ========================================================================

    /// @notice The max repurchase amount is the repurchase balance less any amounts earmarked for rollover
    /// @param amount The amount of purchase token to submit for repurchase
    /// @param termAuth An authentication struct containing the signed borrower wallet address
    function submitRepurchasePayment(
        uint256 amount,
        TermAuth calldata termAuth
    ) external;

    /// @param amountToBurn The amount of TermRepoTokens to burn
    /// @param termAuth An authentication struct containing the signed user wallet address
    function burnCollapseExposure(
        uint256 amountToBurn,
        TermAuth calldata termAuth
    ) external;

    /// @param borrower The address of the borrower to query
    /// @return The total repurchase price due at maturity for a given borrower
    function getBorrowerRepurchaseObligation(
        address borrower
    ) external view returns (uint256);

    /// @param borrower The address of the borrower
    /// @param liquidator The address of the liquidator
    /// @param amountToCover The amount of repurchase exposure to cover in liquidation
    function liquidatorCoverExposure(
        address borrower,
        address liquidator,
        uint256 amountToCover
    ) external;

    /// @param borrower The address of the borrower
    /// @param liquidator The address of the liquidator
    /// @param amountOfRepoToken The amount of term tokens used to cover in liquidation
    /// @return A uint256 representing purchase value of repo tokens burned
    function liquidatorCoverExposureWithRepoToken(
        address borrower,
        address liquidator,
        uint256 amountOfRepoToken
    ) external returns (uint256);

    /// @return A boolean that represents whether the term repo locker is balanced
    function isTermRepoBalanced() external view returns (bool);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice ITermRepoServicerEvents is an interface that defines all events emitted by the Term Repo Servicer.
interface ITermRepoServicerEvents {
    /// @notice Event emitted when a Term Loan Manager is initialized.
    /// @param termRepoId A Term Repo id
    /// @param purchaseToken The address of purchase token used for loans and repay
    /// @param maturityTimestamp The timestamp at which term reaches maturity
    /// @param endOfRepurchaseWindow The timestamp at which Term Repo is closed to repurchase
    /// @param redemptionTimestamp The timestamp at which loaners can redeem term repo tokens
    event TermRepoServicerInitialized(
        bytes32 termRepoId,
        address termRepoServicer,
        address purchaseToken,
        uint256 maturityTimestamp,
        uint256 endOfRepurchaseWindow,
        uint256 redemptionTimestamp
    );

    /// @notice Event emitted when a TermRepoLocker is reopened to another auction group
    /// @param termRepoId A Term Repo id
    /// @param termRepoServicer The address of loan manager
    /// @param termAuctionOfferLocker The address of auction offer locker paired through reopening
    /// @param termAuction The address of auction  paired through reopening
    event ReopeningOfferLockerPaired(
        bytes32 termRepoId,
        address termRepoServicer,
        address termAuctionOfferLocker,
        address termAuction
    );

    /// @notice Event emitted when a loan offer is locked.
    /// @param termRepoId A Term Repo id
    /// @param offeror The address who submitted offer
    /// @param amount The amount of purchase token locked for offer
    event OfferLockedByServicer(
        bytes32 termRepoId,
        address offeror,
        uint256 amount
    );

    /// @notice Event emitted when a loan offer is unlocked.
    /// @param termRepoId A Term Repo id
    /// @param offeror The address who submitted offer
    /// @param amount The amount of purchase token unlocked for offer
    event OfferUnlockedByServicer(
        bytes32 termRepoId,
        address offeror,
        uint256 amount
    );

    /// @notice Event emitted when a loan offer is fulfilled.
    /// @param offerId A unique offer id
    /// @param offeror The address whose offer is fulfilled
    /// @param purchasePrice The purchasePrice of loan offer fulfilled
    /// @param repurchasePrice The repurchasePrice of loan offer fulfilled
    /// @param repoTokensMinted The amount of Term Repo Tokens minted to offeror
    event OfferFulfilled(
        bytes32 offerId,
        address offeror,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        uint256 repoTokensMinted
    );

    /// @notice Event emitted when a term repo token is redeemed.
    /// @param termRepoId A Term Repo id
    /// @param redeemer The address who is redeeming term repo tokens
    /// @param redemptionAmount The amount of loan offer redeemed by term repo tokens
    /// @param redemptionHaircut The haircut applied to redemptions (if any) due to unrecoverable repo exposure
    event TermRepoTokensRedeemed(
        bytes32 termRepoId,
        address redeemer,
        uint256 redemptionAmount,
        uint256 redemptionHaircut
    );

    /// @notice Event emitted when a loan is processed to a borrower
    /// @param termRepoId A Term Repo id
    /// @param bidder The address who is receiving the loan
    /// @param purchasePrice The purchasePrice transferred to borrower
    /// @param repurchasePrice The repurchasePrice owed by borrower at maturity
    /// @param servicingFees The protocol fees paid for loan
    event BidFulfilled(
        bytes32 termRepoId,
        address bidder,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        uint256 servicingFees
    );

    /// @notice Event emitted when a rollover from a previous loan opens a position in this new term
    /// @param termRepoId A Term Repo id
    /// @param borrower The borrower who has loan position opened in new term
    /// @param purchasePrice The purchasePrice transferred to previous term
    /// @param repurchasePrice The repurchasePrice owed by borrower at maturity
    /// @param servicingFees The protocol fees paid for loan
    event ExposureOpenedOnRolloverNew(
        bytes32 termRepoId,
        address borrower,
        uint256 purchasePrice,
        uint256 repurchasePrice,
        uint256 servicingFees
    );

    /// @notice Event emitted when a rollover from a previous loan opens a position in this new term
    /// @param termRepoId A Term Repo id
    /// @param borrower The borrower who has loan position opened in new term
    /// @param amountRolled The amount of borrower loan collapsed by rollover opening
    event ExposureClosedOnRolloverExisting(
        bytes32 termRepoId,
        address borrower,
        uint256 amountRolled
    );

    /// @notice Event emitted when term repo tokens are minted for a loan
    /// @param termRepoId A Term Repo id
    /// @param minter The address who is opening the loan
    /// @param netTokensReceived The amount of Term Repo Tokens received by minter net of servicing fees
    /// @param servicingFeeTokens The number of Term Repo Tokens retained by protocol in servicing fees
    /// @param repurchasePrice The repurchase exposure opened by minter against Term Repo Token mint
    event TermRepoTokenMint(
        bytes32 termRepoId,
        address minter,
        uint256 netTokensReceived,
        uint256 servicingFeeTokens,
        uint256 repurchasePrice
    );

    /// @notice Event emitted when a loan is collapsed by burning term repo tokens
    /// @param termRepoId A Term Repo id
    /// @param borrower The address who is repaying the loan
    /// @param amountToClose The amount repaid by borrower
    event BurnCollapseExposure(
        bytes32 termRepoId,
        address borrower,
        uint256 amountToClose
    );

    /// @notice Event emitted when a loan is repaid by borrower
    /// @param termRepoId A Term Repo id
    /// @param borrower The address who is repaying the loan
    /// @param repurchaseAmount The amount repaid by borrower
    event RepurchasePaymentSubmitted(
        bytes32 termRepoId,
        address borrower,
        uint256 repurchaseAmount
    );
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @notice ITermRepoTokenEvents is an interface that defines all events emitted by the Term Repo Token
interface ITermRepoTokenEvents {
    /// @notice Event emitted when a Term Repo Servicer is initialized.
    /// @param termRepoId term identifier
    /// @param termRepoToken   address of initialized term repo token
    /// @param redemptionRatio The number of purchase tokens redeemable per unit of Term Repo Token at par
    event TermRepoTokenInitialized(
        bytes32 termRepoId,
        address termRepoToken,
        uint256 redemptionRatio
    );

    /// @notice Event emitted when a Term Repo Token Minting is Paused
    /// @param termRepoId A Term Repo id
    event TermRepoTokenMintingPaused(bytes32 termRepoId);

    /// @notice Event emitted when a Term Repo Token Minting is Unpaused
    /// @param termRepoId A Term Repo id
    event TermRepoTokenMintingUnpaused(bytes32 termRepoId);

    /// @notice Event emitted when a Term Repo Token Burning is Paused
    /// @param termRepoId A Term Repo id
    event TermRepoTokenBurningPaused(bytes32 termRepoId);

    /// @notice Event emitted when a Term Repo Token Burning is Unpaused
    /// @param termRepoId A Term Repo id
    event TermRepoTokenBurningUnpaused(bytes32 termRepoId);
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionOffer represents an offer to lend an specific amount of tokens at a specific interest rate (or better)
struct CompleteAuctionInput {
    bytes32[] revealedBidSubmissions;
    bytes32[] expiredRolloverBids;
    bytes32[] unrevealedBidSubmissions;
    bytes32[] revealedOfferSubmissions;
    bytes32[] unrevealedOfferSubmissions;
}

// SPDX-License-Identifier: BSD-3-Clause
pragma solidity ^0.8.18;

// solhint-disable

/**
 * @title Exponential module for storing fixed-precision decimals
 * @author Compound
 * @notice Exp is a struct which stores decimals with a fixed precision of 18 decimal places.
 *         Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is:
 *         `Exp({mantissa: 5100000000000000000})`.
 */
contract ExponentialNoError {
    uint256 constant expScale = 1e18;
    uint256 constant doubleScale = 1e36;

    struct Exp {
        uint256 mantissa;
    }

    struct Double {
        uint256 mantissa;
    }

    /**
     * @dev Truncates the given exp to a whole number value.
     *      For example, truncate(Exp{mantissa: 15 * expScale}) = 15
     */
    function truncate(Exp memory exp) internal pure returns (uint256) {
        // Note: We are not using careful math here as we're performing a division that cannot fail
        return exp.mantissa / expScale;
    }

    /**
     * @dev Multiply an Exp by a scalar, then truncate to return an unsigned integer.
     */
    function mul_ScalarTruncate(
        Exp memory a,
        uint256 scalar
    ) internal pure returns (uint256) {
        Exp memory product = mul_(a, scalar);
        return truncate(product);
    }

    /**
     * @dev Multiply an Exp by a scalar, truncate, then add an to an unsigned integer, returning an unsigned integer.
     */
    function mul_ScalarTruncateAddUInt(
        Exp memory a,
        uint256 scalar,
        uint256 addend
    ) internal pure returns (uint256) {
        Exp memory product = mul_(a, scalar);
        return add_(truncate(product), addend);
    }

    /**
     * @dev Checks if first Exp is less than second Exp.
     */
    function lessThanExp(
        Exp memory left,
        Exp memory right
    ) internal pure returns (bool) {
        return left.mantissa < right.mantissa;
    }

    /**
     * @dev Checks if left Exp <= right Exp.
     */
    function lessThanOrEqualExp(
        Exp memory left,
        Exp memory right
    ) internal pure returns (bool) {
        return left.mantissa <= right.mantissa;
    }

    /**
     * @dev Checks if left Exp > right Exp.
     */
    function greaterThanExp(
        Exp memory left,
        Exp memory right
    ) internal pure returns (bool) {
        return left.mantissa > right.mantissa;
    }

    /**
     * @dev returns true if Exp is exactly zero
     */
    function isZeroExp(Exp memory value) internal pure returns (bool) {
        return value.mantissa == 0;
    }

    function safe224(
        uint256 n,
        string memory errorMessage
    ) internal pure returns (uint224) {
        require(n < 2 ** 224, errorMessage);
        return uint224(n);
    }

    function safe32(
        uint256 n,
        string memory errorMessage
    ) internal pure returns (uint32) {
        require(n < 2 ** 32, errorMessage);
        return uint32(n);
    }

    function add_(
        Exp memory a,
        Exp memory b
    ) internal pure returns (Exp memory) {
        return Exp({mantissa: add_(a.mantissa, b.mantissa)});
    }

    function add_(
        Double memory a,
        Double memory b
    ) internal pure returns (Double memory) {
        return Double({mantissa: add_(a.mantissa, b.mantissa)});
    }

    function add_(uint256 a, uint256 b) internal pure returns (uint256) {
        return a + b;
    }

    function sub_(
        Exp memory a,
        Exp memory b
    ) internal pure returns (Exp memory) {
        return Exp({mantissa: sub_(a.mantissa, b.mantissa)});
    }

    function sub_(
        Double memory a,
        Double memory b
    ) internal pure returns (Double memory) {
        return Double({mantissa: sub_(a.mantissa, b.mantissa)});
    }

    function sub_(uint256 a, uint256 b) internal pure returns (uint256) {
        return a - b;
    }

    function mul_(
        Exp memory a,
        Exp memory b
    ) internal pure returns (Exp memory) {
        return Exp({mantissa: mul_(a.mantissa, b.mantissa) / expScale});
    }

    function mul_(Exp memory a, uint256 b) internal pure returns (Exp memory) {
        return Exp({mantissa: mul_(a.mantissa, b)});
    }

    function mul_(uint256 a, Exp memory b) internal pure returns (uint256) {
        return mul_(a, b.mantissa) / expScale;
    }

    function mul_(
        Double memory a,
        Double memory b
    ) internal pure returns (Double memory) {
        return Double({mantissa: mul_(a.mantissa, b.mantissa) / doubleScale});
    }

    function mul_(
        Double memory a,
        uint256 b
    ) internal pure returns (Double memory) {
        return Double({mantissa: mul_(a.mantissa, b)});
    }

    function mul_(uint256 a, Double memory b) internal pure returns (uint256) {
        return mul_(a, b.mantissa) / doubleScale;
    }

    function mul_(uint256 a, uint256 b) internal pure returns (uint256) {
        return a * b;
    }

    function div_(
        Exp memory a,
        Exp memory b
    ) internal pure returns (Exp memory) {
        return Exp({mantissa: div_(mul_(a.mantissa, expScale), b.mantissa)});
    }

    function div_(Exp memory a, uint256 b) internal pure returns (Exp memory) {
        return Exp({mantissa: div_(a.mantissa, b)});
    }

    function div_(uint256 a, Exp memory b) internal pure returns (uint256) {
        return div_(mul_(a, expScale), b.mantissa);
    }

    function div_(
        Double memory a,
        Double memory b
    ) internal pure returns (Double memory) {
        return
            Double({mantissa: div_(mul_(a.mantissa, doubleScale), b.mantissa)});
    }

    function div_(
        Double memory a,
        uint256 b
    ) internal pure returns (Double memory) {
        return Double({mantissa: div_(a.mantissa, b)});
    }

    function div_(uint256 a, Double memory b) internal pure returns (uint256) {
        return div_(mul_(a, doubleScale), b.mantissa);
    }

    function div_(uint256 a, uint256 b) internal pure returns (uint256) {
        return a / b;
    }

    function fraction(
        uint256 a,
        uint256 b
    ) internal pure returns (Double memory) {
        return Double({mantissa: div_(mul_(a, doubleScale), b)});
    }
}

// solhint-enable

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionBid represents a bid to borrow a specific amount of tokens at a specific interest rate (or better)
struct TermAuctionBid {
    /// @dev Unique identifier for this bid
    bytes32 id;
    /// @dev The address of the bidder
    address bidder;
    /// @dev Hash of the offered price as a percentage of the initial loaned amount vs amount returned at maturity. This stores 9 decimal places
    bytes32 bidPriceHash;
    /// @dev Revealed bid price; this is only a valid value if isRevealed is true; this stores 18 decimal places
    uint256 bidPriceRevealed;
    /// @dev The maximum amount of purchase tokens that can be borrowed
    uint256 amount;
    /// @dev The amount of collateral tokens initially locked
    uint256[] collateralAmounts;
    /// @dev The address of the ERC20 purchase token
    address purchaseToken;
    /// @dev The addresses of the collateral ERC20 tokens in the bid
    address[] collateralTokens;
    /// @dev A boolean indicating if bid was submitted as rollover from previous term
    bool isRollover;
    /// @dev The address of term repo servicer whose bid is being rolled over
    address rolloverPairOffTermRepoServicer;
    /// @dev A boolean that is true if bid has been revealed
    bool isRevealed;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionBidSubmission represents a bid submission to borrow an amount of money for a specific interest rate
struct TermAuctionBidSubmission {
    /// @dev For an existing bid this is the unique onchain identifier for this bid. For a new bid this is a randomized input that will be used to generate the unique onchain identifier.
    bytes32 id;
    /// @dev The address of the bidder
    address bidder;
    /// @dev Hash of the offered price as a percentage of the initial loaned amount vs amount returned at maturity. This stores 9 decimal places
    bytes32 bidPriceHash;
    /// @dev The maximum amount of purchase tokens that can be borrowed
    uint256 amount;
    /// @dev The amount of collateral tokens initially locked
    uint256[] collateralAmounts;
    /// @dev The address of the ERC20 purchase token
    address purchaseToken;
    /// @dev The addresses of the collateral ERC20 tokens in the bid
    address[] collateralTokens;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionOffer represents an offer to offeror an amount of money for a specific interest rate
struct TermAuctionOffer {
    /// @dev Unique identifier for this bid
    bytes32 id;
    /// @dev The address of the offeror
    address offeror;
    /// @dev Hash of the offered price as a percentage of the initial loaned amount vs amount returned at maturity. This stores 9 decimal places
    bytes32 offerPriceHash;
    /// @dev Revealed offer price. This is not valid unless isRevealed is true. This stores 18 decimal places
    uint256 offerPriceRevealed;
    /// @dev The maximum amount of purchase tokens that can be lent
    uint256 amount;
    /// @dev The address of the ERC20 purchase token
    address purchaseToken;
    /// @dev Is offer price revealed
    bool isRevealed;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionOfferSubmission represents an offer submission to offeror an amount of money for a specific interest rate
struct TermAuctionOfferSubmission {
    /// @dev For an existing offer this is the unique onchain identifier for this offer. For a new offer this is a randomized input that will be used to generate the unique onchain identifier.
    bytes32 id;
    /// @dev The address of the offeror
    address offeror;
    /// @dev Hash of the offered price as a percentage of the initial loaned amount vs amount returned at maturity. This stores 9 decimal places
    bytes32 offerPriceHash;
    /// @dev The maximum amount of purchase tokens that can be lent
    uint256 amount;
    /// @dev The address of the ERC20 purchase token
    address purchaseToken;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionBid represents a bid to borrow an amount of money for a specific interest rate
struct TermAuctionRevealedBid {
    /// @dev Unique identifier for this bid
    bytes32 id;
    /// @dev The address of the bidder
    address bidder;
    /// @dev The offered price as a percentage of the initial loaned amount vs amount returned at maturity. This stores 9 decimal places
    uint256 bidPriceRevealed;
    /// @dev The maximum amount of TermRepoTokens borrowed. This stores 18 decimal places
    uint256 amount;
    /// @dev The amount of collateral tokens initially locked
    uint256[] collateralAmounts;
    /// @dev The purchase token address
    address purchaseToken;
    /// @dev The collateral token address
    address[] collateralTokens;
    /// @dev A boolean indicating whether bid is submitted as rollover from previous term
    bool isRollover;
    /// @dev The address of term repo servicer whose bid is being rolled over
    address rolloverPairOffTermRepoServicer;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuctionBid represents an offer to offeror an amount of money for a specific interest rate
struct TermAuctionRevealedOffer {
    /// @dev Unique identifier for this bid
    bytes32 id;
    /// @dev The address of the offeror
    address offeror;
    /// @dev The offered price as a percentage of the initial loaned amount vs amount returned at maturity. This stores 9 decimal places
    uint256 offerPriceRevealed;
    /// @dev The maximum amount of purchase tokens offered
    uint256 amount;
    /// @dev The address of the lent ERC20 token
    address purchaseToken;
}

//SPDX-License-Identifier: CC-BY-NC-ND-4.0
pragma solidity ^0.8.18;

/// @dev TermAuth contains arguments needed for TermAuthenticator to authenticate a user calling a Term function
struct TermAuth {
    /// @dev The address of the user submitting transaction
    address user;
    /// @dev A unique nonce associated with the transaction
    uint256 nonce;
    ///@dev The expiration timestamp
    uint256 expirationTimestamp;
    /// @dev The signature submitted by user for the transaction
    bytes signature;
}

//SPDX-License-Identifier: Unlicense
pragma solidity ^0.8.18;

/// @dev TermRepoRolloverElection represents an election to rollover a borrow into a future term
struct TermRepoRolloverElection {
    /// @dev The address of the term auction bidlocker that loan is being rolled into
    address rolloverAuction;
    /// @dev The amount of loan being rolled over
    uint256 rolloverAmount;
    /// @dev The hashed value of the rollover bid price to place in the rollover auction
    bytes32 rolloverBidPriceHash;
    /// @dev A boolean that is true if rollover is successfully locked into auction
    bool locked;
    /// @dev A boolean testing whether rollover has been successfully processsed: false if bid fails to lock or is not successful in rollover auction
    bool processed;
}

//SPDX-License-Identifier: Unlicense
pragma solidity ^0.8.18;

/// @dev TermRepoRolloverElectionSubmission represents a user submission for a rollover election to a future term
struct TermRepoRolloverElectionSubmission {
    /// @dev The address of the term auction bidlocker that loan is being rolled into
    address rolloverAuction;
    /// @dev The amount of loan being rolled over
    uint256 rolloverAmount;
    ///@dev The hashed value of the rollover bid price to place in the rollover auction
    bytes32 rolloverBidPriceHash;
}

{
  "optimizer": {
    "enabled": true,
    "runs": 50
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

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CompleteAuctionInput","name":"completeAuctionInput","type":"tuple"}],"name":"cancelAuction","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address[]","name":"rolloverBorrowers","type":"address[]"},{"internalType":"address[]","name":"rolloverPairOffTermRepoServicer","type":"address[]"}],"name":"cancelAuctionForWithdrawal","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"clearingPrice","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"components":[{"internalType":"bytes32[]","name":"revealedBidSubmissions","type":"bytes32[]"},{"internalType":"bytes32[]","name":"expiredRolloverBids","type":"bytes32[]"},{"internalType":"bytes32[]","name":"unrevealedBidSubmissions","type":"bytes32[]"},{"internalType":"bytes32[]","name":"revealedOfferSubmissions","type":"bytes32[]"},{"internalType":"bytes32[]","name":"unrevealedOfferSubmissions","type":"bytes32[]"}],"internalType":"struct CompleteAuctionInput","name":"completeAuctionInput","type":"tuple"}],"name":"completeAuction","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"completeAuctionPaused","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"dayCountFractionMantissa","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"}],"name":"getRoleAdmin","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"grantRole","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"hasRole","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"string","name":"termRepoId_","type":"string"},{"internalType":"string","name":"auctionId_","type":"string"},{"internalType":"uint256","name":"auctionEndTime_","type":"uint256"},{"internalType":"uint256","name":"termStart_","type":"uint256"},{"internalType":"uint256","name":"redemptionTimestamp_","type":"uint256"},{"internalType":"contract IERC20MetadataUpgradeable","name":"purchaseToken_","type":"address"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract ITermEventEmitter","name":"emitter_","type":"address"},{"internalType":"contract ITermRepoServicer","name":"termRepoServicer_","type":"address"},{"internalType":"contract ITermAuctionBidLocker","name":"termAuctionBidLocker_","type":"address"},{"internalType":"contract ITermAuctionOfferLocker","name":"termAuctionOfferLocker_","type":"address"}],"name":"pairTermContracts","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"pauseCompleteAuction","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"proxiableUUID","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"purchaseToken","outputs":[{"internalType":"contract IERC20MetadataUpgradeable","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"renounceRole","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"role","type":"bytes32"},{"internalType":"address","name":"account","type":"address"}],"name":"revokeRole","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes4","name":"interfaceId","type":"bytes4"}],"name":"supportsInterface","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"termAuctionBidLocker","outputs":[{"internalType":"contract ITermAuctionBidLocker","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"termAuctionId","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"termAuctionOfferLocker","outputs":[{"internalType":"contract ITermAuctionOfferLocker","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"termRepoId","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"termRepoServicer","outputs":[{"internalType":"contract ITermRepoServicer","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"unpauseCompleteAuction","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newImplementation","type":"address"}],"name":"upgradeTo","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"newImplementation","type":"address"},{"internalType":"bytes","name":"data","type":"bytes"}],"name":"upgradeToAndCall","outputs":[],"stateMutability":"payable","type":"function"}]

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