Contract Address Details

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import './Interfaces/IBorrowerOperations.sol';
import './Interfaces/IStabilityPool.sol';
import './Interfaces/IBorrowerOperations.sol';
import './Interfaces/IVaultManager.sol';
import './Interfaces/IUSDLToken.sol';
import './Interfaces/ISortedVaults.sol';
import "./Interfaces/ICommunityIssuance.sol";
import "./Dependencies/LiquidLoansBase.sol";
import "./Dependencies/SafeMath.sol";
import "./Dependencies/LiquidLoansSafeMath128.sol";
import "./Dependencies/Ownable.sol";
import "./Dependencies/CheckContract.sol";
import "./Dependencies/console.sol";

/*
 * The Stability Pool holds USDL tokens deposited by Stability Pool depositors.
 *
 * When a vault is liquidated, then depending on system conditions, some of its USDL debt gets offset with
 * USDL in the Stability Pool:  that is, the offset debt evaporates, and an equal amount of USDL tokens in the Stability Pool is burned.
 *
 * Thus, a liquidation causes each depositor to receive a USDL loss, in proportion to their deposit as a share of total deposits.
 * They also receive an PLS gain, as the PLS collateral of the liquidated vault is distributed among Stability depositors,
 * in the same proportion.
 *
 * When a liquidation occurs, it depletes every deposit by the same fraction: for example, a liquidation that depletes 40%
 * of the total USDL in the Stability Pool, depletes 40% of each deposit.
 *
 * A deposit that has experienced a series of liquidations is termed a "compounded deposit": each liquidation depletes the deposit,
 * multiplying it by some factor in range ]0,1[
 *
 *
 * --- IMPLEMENTATION ---
 *
 * We use a highly scalable method of tracking deposits and PLS gains that has O(1) complexity.
 *
 * When a liquidation occurs, rather than updating each depositor's deposit and PLS gain, we simply update two state variables:
 * a product P, and a sum S.
 *
 * A mathematical manipulation allows us to factor out the initial deposit, and accurately track all depositors' compounded deposits
 * and accumulated PLS gains over time, as liquidations occur, using just these two variables P and S. When depositors join the
 * Stability Pool, they get a snapshot of the latest P and S: P_t and S_t, respectively.
 *
 * The formula for a depositor's accumulated PLS gain is derived in the math proof.
 *
 * For a given deposit d_t, the ratio P/P_t tells us the factor by which a deposit has decreased since it joined the Stability Pool,
 * and the term d_t * (S - S_t)/P_t gives us the deposit's total accumulated PLS gain.
 *
 * Each liquidation updates the product P and sum S. After a series of liquidations, a compounded deposit and corresponding PLS gain
 * can be calculated using the initial deposit, the depositor’s snapshots of P and S, and the latest values of P and S.
 *
 * Any time a depositor updates their deposit (withdrawal, top-up) their accumulated PLS gain is paid out, their new deposit is recorded
 * (based on their latest compounded deposit and modified by the withdrawal/top-up), and they receive new snapshots of the latest P and S.
 * Essentially, they make a fresh deposit that overwrites the old one.
 *
 *
 * --- SCALE FACTOR ---
 *
 * Since P is a running product in range ]0,1] that is always-decreasing, it should never reach 0 when multiplied by a number in range ]0,1[.
 * Unfortunately, Solidity floor division always reaches 0, sooner or later.
 *
 * A series of liquidations that nearly empty the Pool (and thus each multiply P by a very small number in range ]0,1[ ) may push P
 * to its 18 digit decimal limit, and round it to 0, when in fact the Pool hasn't been emptied: this would break deposit tracking.
 *
 * So, to track P accurately, we use a scale factor: if a liquidation would cause P to decrease to <1e-9 (and be rounded to 0 by Solidity),
 * we first multiply P by 1e9, and increment a currentScale factor by 1.
 *
 * The added benefit of using 1e9 for the scale factor (rather than 1e18) is that it ensures negligible precision loss close to the 
 * scale boundary: when P is at its minimum value of 1e9, the relative precision loss in P due to floor division is only on the 
 * order of 1e-9. 
 *
 * --- EPOCHS ---
 *
 * Whenever a liquidation fully empties the Stability Pool, all deposits should become 0. However, setting P to 0 would make P be 0
 * forever, and break all future reward calculations.
 *
 * So, every time the Stability Pool is emptied by a liquidation, we reset P = 1 and currentScale = 0, and increment the currentEpoch by 1.
 *
 * --- TRACKING DEPOSIT OVER SCALE CHANGES AND EPOCHS ---
 *
 * When a deposit is made, it gets snapshots of the currentEpoch and the currentScale.
 *
 * When calculating a compounded deposit, we compare the current epoch to the deposit's epoch snapshot. If the current epoch is newer,
 * then the deposit was present during a pool-emptying liquidation, and necessarily has been depleted to 0.
 *
 * Otherwise, we then compare the current scale to the deposit's scale snapshot. If they're equal, the compounded deposit is given by d_t * P/P_t.
 * If it spans one scale change, it is given by d_t * P/(P_t * 1e9). If it spans more than one scale change, we define the compounded deposit
 * as 0, since it is now less than 1e-9'th of its initial value (e.g. a deposit of 1 billion USDL has depleted to < 1 USDL).
 *
 *
 *  --- TRACKING DEPOSITOR'S PLS GAIN OVER SCALE CHANGES AND EPOCHS ---
 *
 * In the current epoch, the latest value of S is stored upon each scale change, and the mapping (scale -> S) is stored for each epoch.
 *
 * This allows us to calculate a deposit's accumulated PLS gain, during the epoch in which the deposit was non-zero and earned PLS.
 *
 * We calculate the depositor's accumulated PLS gain for the scale at which they made the deposit, using the PLS gain formula:
 * e_1 = d_t * (S - S_t) / P_t
 *
 * and also for scale after, taking care to divide the latter by a factor of 1e9:
 * e_2 = d_t * S / (P_t * 1e9)
 *
 * The gain in the second scale will be full, as the starting point was in the previous scale, thus no need to subtract anything.
 * The deposit therefore was present for reward events from the beginning of that second scale.
 *
 *        S_i-S_t + S_{i+1}
 *      .<--------.------------>
 *      .         .
 *      . S_i     .   S_{i+1}
 *   <--.-------->.<----------->
 *   S_t.         .
 *   <->.         .
 *      t         .
 *  |---+---------|-------------|-----...
 *         i            i+1
 *
 * The sum of (e_1 + e_2) captures the depositor's total accumulated PLS gain, handling the case where their
 * deposit spanned one scale change. We only care about gains across one scale change, since the compounded
 * deposit is defined as being 0 once it has spanned more than one scale change.
 *
 *
 * --- UPDATING P WHEN A LIQUIDATION OCCURS ---
 *
 * Please see the implementation spec in the math proof document, which closely follows on from the compounded deposit / PLS gain derivations.
 *
 *
 * --- LOAN ISSUANCE TO STABILITY POOL DEPOSITORS ---
 *
 * An LOAN issuance event occurs at every deposit operation, and every liquidation.
 *
 * Each deposit is tagged with the address of the front end through which it was made.
 *
 * All deposits earn a share of the issued LOAN in proportion to the deposit as a share of total deposits. The LOAN earned
 * by a given deposit, is split between the depositor and the front end through which the deposit was made, based on the front end's kickbackRate.
 *
 * Please see the system Readme for an overview:
 * https://github.com/Liquid-Loans-Official/monorepo/blob/main/README.md#loan-issuance-to-stability-providers
 *
 * We use the same mathematical product-sum approach to track LOAN gains for depositors, where 'G' is the sum corresponding to LOAN gains.
 * The product P (and snapshot P_t) is re-used, as the ratio P/P_t tracks a deposit's depletion due to liquidations.
 *
 */
contract StabilityPool is LiquidLoansBase, Ownable, CheckContract, IStabilityPool {
    using LiquidLoansSafeMath128 for uint128;

    string constant public NAME = "StabilityPool";

    IBorrowerOperations public borrowerOperations;

    IVaultManager public vaultManager;

    IUSDLToken public usdlToken;

    // Needed to check if there are pending liquidations
    ISortedVaults public sortedVaults;

    ICommunityIssuance public communityIssuance;

    uint256 internal PLS;  // deposited pulse tracker

    // Tracker for USDL held in the pool. Changes when users deposit/withdraw, and when Vault debt is offset.
    uint256 internal totalUSDLDeposits;

   // --- Data structures ---

    struct FrontEnd {
        uint kickbackRate;
        bool registered;
    }

    struct Deposit {
        uint initialValue;
        address frontEndTag;
    }

    struct Snapshots {
        uint S;
        uint P;
        uint G;
        uint128 scale;
        uint128 epoch;
    }

    mapping (address => Deposit) public deposits;  // depositor address -> Deposit struct
    mapping (address => Snapshots) public depositSnapshots;  // depositor address -> snapshots struct

    mapping (address => FrontEnd) public frontEnds;  // front end address -> FrontEnd struct
    mapping (address => uint) public frontEndStakes; // front end address -> last recorded total deposits, tagged with that front end
    mapping (address => Snapshots) public frontEndSnapshots; // front end address -> snapshots struct

    /*  Product 'P': Running product by which to multiply an initial deposit, in order to find the current compounded deposit,
    * after a series of liquidations have occurred, each of which cancel some USDL debt with the deposit.
    *
    * During its lifetime, a deposit's value evolves from d_t to d_t * P / P_t , where P_t
    * is the snapshot of P taken at the instant the deposit was made. 18-digit decimal.
    */
    uint public P = DECIMAL_PRECISION;

    uint public constant SCALE_FACTOR = 1e9;

    // Each time the scale of P shifts by SCALE_FACTOR, the scale is incremented by 1
    uint128 public currentScale;

    // With each offset that fully empties the Pool, the epoch is incremented by 1
    uint128 public currentEpoch;

    /* PLS Gain sum 'S': During its lifetime, each deposit d_t earns an PLS gain of ( d_t * [S - S_t] )/P_t, where S_t
    * is the depositor's snapshot of S taken at the time t when the deposit was made.
    *
    * The 'S' sums are stored in a nested mapping (epoch => scale => sum):
    *
    * - The inner mapping records the sum S at different scales
    * - The outer mapping records the (scale => sum) mappings, for different epochs.
    */
    mapping (uint128 => mapping(uint128 => uint)) public epochToScaleToSum;

    /*
    * Similarly, the sum 'G' is used to calculate LOAN gains. During it's lifetime, each deposit d_t earns a LOAN gain of
    *  ( d_t * [G - G_t] )/P_t, where G_t is the depositor's snapshot of G taken at time t when  the deposit was made.
    *
    *  LOAN reward events occur are triggered by depositor operations (new deposit, topup, withdrawal), and liquidations.
    *  In each case, the LOAN reward is issued (i.e. G is updated), before other state changes are made.
    */
    mapping (uint128 => mapping(uint128 => uint)) public epochToScaleToG;

    // Error tracker for the error correction in the LOAN issuance calculation
    uint public lastLOANError;
    // Error trackers for the error correction in the offset calculation
    uint public lastPLSError_Offset;
    uint public lastUSDLLossError_Offset;

    // --- Events ---

    event StabilityPoolPLSBalanceUpdated(uint _newBalance);
    event StabilityPoolUSDLBalanceUpdated(uint _newBalance);

    event BorrowerOperationsAddressChanged(address _newBorrowerOperationsAddress);
    event VaultManagerAddressChanged(address _newVaultManagerAddress);
    event ActivePoolAddressChanged(address _newActivePoolAddress);
    event DefaultPoolAddressChanged(address _newDefaultPoolAddress);
    event USDLTokenAddressChanged(address _newUSDLTokenAddress);
    event SortedVaultsAddressChanged(address _newSortedVaultsAddress);
    event PriceFeedAddressChanged(address _newPriceFeedAddress);
    event CommunityIssuanceAddressChanged(address _newCommunityIssuanceAddress);

    event P_Updated(uint _P);
    event S_Updated(uint _S, uint128 _epoch, uint128 _scale);
    event G_Updated(uint _G, uint128 _epoch, uint128 _scale);
    event EpochUpdated(uint128 _currentEpoch);
    event ScaleUpdated(uint128 _currentScale);

    event FrontEndRegistered(address indexed _frontEnd, uint _kickbackRate);
    event FrontEndTagSet(address indexed _depositor, address indexed _frontEnd);

    event DepositSnapshotUpdated(address indexed _depositor, uint _P, uint _S, uint _G);
    event FrontEndSnapshotUpdated(address indexed _frontEnd, uint _P, uint _G);
    event UserDepositChanged(address indexed _depositor, uint _newDeposit);
    event FrontEndStakeChanged(address indexed _frontEnd, uint _newFrontEndStake, address _depositor);

    event PLSGainWithdrawn(address indexed _depositor, uint _PLS, uint _USDLLoss);
    event LOANPaidToDepositor(address indexed _depositor, uint _LOAN);
    event LOANPaidToFrontEnd(address indexed _frontEnd, uint _LOAN);
    event PulseSent(address _to, uint _amount);

    // --- Contract setters ---

    function setAddresses(
        address _borrowerOperationsAddress,
        address _vaultManagerAddress,
        address _activePoolAddress,
        address _usdlTokenAddress,
        address _sortedVaultsAddress,
        address _priceFeedAddress,
        address _communityIssuanceAddress
    )
        external
        override
        onlyOwner
    {
        checkContract(_borrowerOperationsAddress);
        checkContract(_vaultManagerAddress);
        checkContract(_activePoolAddress);
        checkContract(_usdlTokenAddress);
        checkContract(_sortedVaultsAddress);
        checkContract(_priceFeedAddress);
        checkContract(_communityIssuanceAddress);

        borrowerOperations = IBorrowerOperations(_borrowerOperationsAddress);
        vaultManager = IVaultManager(_vaultManagerAddress);
        activePool = IActivePool(_activePoolAddress);
        usdlToken = IUSDLToken(_usdlTokenAddress);
        sortedVaults = ISortedVaults(_sortedVaultsAddress);
        priceFeed = IPriceFeed(_priceFeedAddress);
        communityIssuance = ICommunityIssuance(_communityIssuanceAddress);

        emit BorrowerOperationsAddressChanged(_borrowerOperationsAddress);
        emit VaultManagerAddressChanged(_vaultManagerAddress);
        emit ActivePoolAddressChanged(_activePoolAddress);
        emit USDLTokenAddressChanged(_usdlTokenAddress);
        emit SortedVaultsAddressChanged(_sortedVaultsAddress);
        emit PriceFeedAddressChanged(_priceFeedAddress);
        emit CommunityIssuanceAddressChanged(_communityIssuanceAddress);

        _renounceOwnership();
    }

    // --- Getters for public variables. Required by IPool interface ---

    function getPLS() external view override returns (uint) {
        return PLS;
    }

    function getTotalUSDLDeposits() external view override returns (uint) {
        return totalUSDLDeposits;
    }

    // --- External Depositor Functions ---

    /*  provideToSP():
    *
    * - Triggers a LOAN issuance, based on time passed since the last issuance. The LOAN issuance is shared between *all* depositors and front ends
    * - Tags the deposit with the provided front end tag param, if it's a new deposit
    * - Sends depositor's accumulated gains (LOAN, PLS) to depositor
    * - Sends the tagged front end's accumulated LOAN gains to the tagged front end
    * - Increases deposit and tagged front end's stake, and takes new snapshots for each.
    */
    function provideToSP(uint _amount, address _frontEndTag) external override {
        _requireFrontEndIsRegisteredOrZero(_frontEndTag);
        _requireFrontEndNotRegistered(msg.sender);
        _requireNonZeroAmount(_amount);

        uint initialDeposit = deposits[msg.sender].initialValue;

        ICommunityIssuance communityIssuanceCached = communityIssuance;

        _triggerLOANIssuance(communityIssuanceCached);

        if (initialDeposit == 0) {_setFrontEndTag(msg.sender, _frontEndTag);}
        uint depositorPLSGain = getDepositorPLSGain(msg.sender);
        uint compoundedUSDLDeposit = getCompoundedUSDLDeposit(msg.sender);
        uint USDLLoss = initialDeposit.sub(compoundedUSDLDeposit); // Needed only for event log

        // First pay out any LOAN gains
        address frontEnd = deposits[msg.sender].frontEndTag;
        _payOutLOANGains(communityIssuanceCached, msg.sender, frontEnd);

        // Update front end stake
        uint compoundedFrontEndStake = getCompoundedFrontEndStake(frontEnd);
        uint newFrontEndStake = compoundedFrontEndStake.add(_amount);
        _updateFrontEndStakeAndSnapshots(frontEnd, newFrontEndStake);
        emit FrontEndStakeChanged(frontEnd, newFrontEndStake, msg.sender);

        _sendUSDLtoStabilityPool(msg.sender, _amount);

        uint newDeposit = compoundedUSDLDeposit.add(_amount);
        _updateDepositAndSnapshots(msg.sender, newDeposit);
        emit UserDepositChanged(msg.sender, newDeposit);

        emit PLSGainWithdrawn(msg.sender, depositorPLSGain, USDLLoss); // USDL Loss required for event log

        _sendPLSGainToDepositor(depositorPLSGain);
     }

    /*  withdrawFromSP():
    *
    * - Triggers a LOAN issuance, based on time passed since the last issuance. The LOAN issuance is shared between *all* depositors and front ends
    * - Removes the deposit's front end tag if it is a full withdrawal
    * - Sends all depositor's accumulated gains (LOAN, PLS) to depositor
    * - Sends the tagged front end's accumulated LOAN gains to the tagged front end
    * - Decreases deposit and tagged front end's stake, and takes new snapshots for each.
    *
    * If _amount > userDeposit, the user withdraws all of their compounded deposit.
    */
    function withdrawFromSP(uint _amount) external override {
        if (_amount !=0) {_requireNoUnderCollateralizedVaults();}
        uint initialDeposit = deposits[msg.sender].initialValue;
        _requireUserHasDeposit(initialDeposit);

        ICommunityIssuance communityIssuanceCached = communityIssuance;

        _triggerLOANIssuance(communityIssuanceCached);

        uint depositorPLSGain = getDepositorPLSGain(msg.sender);

        uint compoundedUSDLDeposit = getCompoundedUSDLDeposit(msg.sender);
        uint USDLtoWithdraw = LiquidLoansMath._min(_amount, compoundedUSDLDeposit);
        uint USDLLoss = initialDeposit.sub(compoundedUSDLDeposit); // Needed only for event log

        // First pay out any LOAN gains
        address frontEnd = deposits[msg.sender].frontEndTag;
        _payOutLOANGains(communityIssuanceCached, msg.sender, frontEnd);
        
        // Update front end stake
        uint compoundedFrontEndStake = getCompoundedFrontEndStake(frontEnd);
        uint newFrontEndStake = compoundedFrontEndStake.sub(USDLtoWithdraw);
        _updateFrontEndStakeAndSnapshots(frontEnd, newFrontEndStake);
        emit FrontEndStakeChanged(frontEnd, newFrontEndStake, msg.sender);

        _sendUSDLToDepositor(msg.sender, USDLtoWithdraw);

        // Update deposit
        uint newDeposit = compoundedUSDLDeposit.sub(USDLtoWithdraw);
        _updateDepositAndSnapshots(msg.sender, newDeposit);
        emit UserDepositChanged(msg.sender, newDeposit);

        emit PLSGainWithdrawn(msg.sender, depositorPLSGain, USDLLoss);  // USDL Loss required for event log

        _sendPLSGainToDepositor(depositorPLSGain);
    }

    /* withdrawPLSGainToVault:
    * - Triggers a LOAN issuance, based on time passed since the last issuance. The LOAN issuance is shared between *all* depositors and front ends
    * - Sends all depositor's LOAN gain to  depositor
    * - Sends all tagged front end's LOAN gain to the tagged front end
    * - Transfers the depositor's entire PLS gain from the Stability Pool to the caller's vault
    * - Leaves their compounded deposit in the Stability Pool
    * - Updates snapshots for deposit and tagged front end stake */
    function withdrawPLSGainToVault(address _upperHint, address _lowerHint) external override {
        uint initialDeposit = deposits[msg.sender].initialValue;
        _requireUserHasDeposit(initialDeposit);
        _requireUserHasVault(msg.sender);
        _requireUserHasPLSGain(msg.sender);

        ICommunityIssuance communityIssuanceCached = communityIssuance;

        _triggerLOANIssuance(communityIssuanceCached);

        uint depositorPLSGain = getDepositorPLSGain(msg.sender);

        uint compoundedUSDLDeposit = getCompoundedUSDLDeposit(msg.sender);
        uint USDLLoss = initialDeposit.sub(compoundedUSDLDeposit); // Needed only for event log

        // First pay out any LOAN gains
        address frontEnd = deposits[msg.sender].frontEndTag;
        _payOutLOANGains(communityIssuanceCached, msg.sender, frontEnd);

        // Update front end stake
        uint compoundedFrontEndStake = getCompoundedFrontEndStake(frontEnd);
        uint newFrontEndStake = compoundedFrontEndStake;
        _updateFrontEndStakeAndSnapshots(frontEnd, newFrontEndStake);
        emit FrontEndStakeChanged(frontEnd, newFrontEndStake, msg.sender);

        _updateDepositAndSnapshots(msg.sender, compoundedUSDLDeposit);

        /* Emit events before transferring PLS gain to Vault.
         This lets the event log make more sense (i.e. so it appears that first the PLS gain is withdrawn
        and then it is deposited into the Vault, not the other way around). */
        emit PLSGainWithdrawn(msg.sender, depositorPLSGain, USDLLoss);
        emit UserDepositChanged(msg.sender, compoundedUSDLDeposit);

        PLS = PLS.sub(depositorPLSGain);
        emit StabilityPoolPLSBalanceUpdated(PLS);
        emit PulseSent(msg.sender, depositorPLSGain);

        borrowerOperations.movePLSGainToVault{ value: depositorPLSGain }(msg.sender, _upperHint, _lowerHint);
    }

    // --- LOAN issuance functions ---

    function _triggerLOANIssuance(ICommunityIssuance _communityIssuance) internal {
        uint LOANIssuance = _communityIssuance.issueLOAN();
       _updateG(LOANIssuance);
    }

    function _updateG(uint _LOANIssuance) internal {
        uint totalUSDL = totalUSDLDeposits; // cached to save an SLOAD
        /*
        * When total deposits is 0, G is not updated. In this case, the LOAN issued can not be obtained by later
        * depositors - it is missed out on, and remains in the balanceof the CommunityIssuance contract.
        *
        */
        if (totalUSDL == 0 || _LOANIssuance == 0) {return;}

        uint LOANPerUnitStaked;
        LOANPerUnitStaked =_computeLOANPerUnitStaked(_LOANIssuance, totalUSDL);

        uint marginalLOANGain = LOANPerUnitStaked.mul(P);
        epochToScaleToG[currentEpoch][currentScale] = epochToScaleToG[currentEpoch][currentScale].add(marginalLOANGain);

        emit G_Updated(epochToScaleToG[currentEpoch][currentScale], currentEpoch, currentScale);
    }

    function _computeLOANPerUnitStaked(uint _LOANIssuance, uint _totalUSDLDeposits) internal returns (uint) {
        /*  
        * Calculate the LOAN-per-unit staked.  Division uses a "feedback" error correction, to keep the 
        * cumulative error low in the running total G:
        *
        * 1) Form a numerator which compensates for the floor division error that occurred the last time this 
        * function was called.  
        * 2) Calculate "per-unit-staked" ratio.
        * 3) Multiply the ratio back by its denominator, to reveal the current floor division error.
        * 4) Store this error for use in the next correction when this function is called.
        * 5) Note: static analysis tools complain about this "division before multiplication", however, it is intended.
        */
        uint LOANNumerator = _LOANIssuance.mul(DECIMAL_PRECISION).add(lastLOANError);

        uint LOANPerUnitStaked = LOANNumerator.div(_totalUSDLDeposits);
        lastLOANError = LOANNumerator.sub(LOANPerUnitStaked.mul(_totalUSDLDeposits));

        return LOANPerUnitStaked;
    }

    // --- Liquidation functions ---

    /*
    * Cancels out the specified debt against the USDL contained in the Stability Pool (as far as possible)
    * and transfers the Vault's PLS collateral from ActivePool to StabilityPool.
    * Only called by liquidation functions in the VaultManager.
    */
    function offset(uint _debtToOffset, uint _collToAdd) external override {
        _requireCallerIsVaultManager();
        uint totalUSDL = totalUSDLDeposits; // cached to save an SLOAD
        if (totalUSDL == 0 || _debtToOffset == 0) { return; }

        _triggerLOANIssuance(communityIssuance);

        (uint PLSGainPerUnitStaked,
            uint USDLLossPerUnitStaked) = _computeRewardsPerUnitStaked(_collToAdd, _debtToOffset, totalUSDL);

        _updateRewardSumAndProduct(PLSGainPerUnitStaked, USDLLossPerUnitStaked);  // updates S and P

        _moveOffsetCollAndDebt(_collToAdd, _debtToOffset);
    }

    // --- Offset helper functions ---

    function _computeRewardsPerUnitStaked(
        uint _collToAdd,
        uint _debtToOffset,
        uint _totalUSDLDeposits
    )
        internal
        returns (uint PLSGainPerUnitStaked, uint USDLLossPerUnitStaked)
    {
        /*
        * Compute the USDL and PLS rewards. Uses a "feedback" error correction, to keep
        * the cumulative error in the P and S state variables low:
        *
        * 1) Form numerators which compensate for the floor division errors that occurred the last time this 
        * function was called.  
        * 2) Calculate "per-unit-staked" ratios.
        * 3) Multiply each ratio back by its denominator, to reveal the current floor division error.
        * 4) Store these errors for use in the next correction when this function is called.
        * 5) Note: static analysis tools complain about this "division before multiplication", however, it is intended.
        */
        uint PLSNumerator = _collToAdd.mul(DECIMAL_PRECISION).add(lastPLSError_Offset);

        assert(_debtToOffset <= _totalUSDLDeposits);
        if (_debtToOffset == _totalUSDLDeposits) {
            USDLLossPerUnitStaked = DECIMAL_PRECISION;  // When the Pool depletes to 0, so does each deposit 
            lastUSDLLossError_Offset = 0;
        } else {
            uint USDLLossNumerator = _debtToOffset.mul(DECIMAL_PRECISION).sub(lastUSDLLossError_Offset);
            /*
            * Add 1 to make error in quotient positive. We want "slightly too much" USDL loss,
            * which ensures the error in any given compoundedUSDLDeposit favors the Stability Pool.
            */
            USDLLossPerUnitStaked = (USDLLossNumerator.div(_totalUSDLDeposits)).add(1);
            lastUSDLLossError_Offset = (USDLLossPerUnitStaked.mul(_totalUSDLDeposits)).sub(USDLLossNumerator);
        }

        PLSGainPerUnitStaked = PLSNumerator.div(_totalUSDLDeposits);
        lastPLSError_Offset = PLSNumerator.sub(PLSGainPerUnitStaked.mul(_totalUSDLDeposits));

        return (PLSGainPerUnitStaked, USDLLossPerUnitStaked);
    }

    // Update the Stability Pool reward sum S and product P
    function _updateRewardSumAndProduct(uint _PLSGainPerUnitStaked, uint _USDLLossPerUnitStaked) internal {
        uint currentP = P;
        uint newP;

        assert(_USDLLossPerUnitStaked <= DECIMAL_PRECISION);
        /*
        * The newProductFactor is the factor by which to change all deposits, due to the depletion of Stability Pool USDL in the liquidation.
        * We make the product factor 0 if there was a pool-emptying. Otherwise, it is (1 - USDLLossPerUnitStaked)
        */
        uint newProductFactor = uint(DECIMAL_PRECISION).sub(_USDLLossPerUnitStaked);

        uint128 currentScaleCached = currentScale;
        uint128 currentEpochCached = currentEpoch;
        uint currentS = epochToScaleToSum[currentEpochCached][currentScaleCached];

        /*
        * Calculate the new S first, before we update P.
        * The PLS gain for any given depositor from a liquidation depends on the value of their deposit
        * (and the value of totalDeposits) prior to the Stability being depleted by the debt in the liquidation.
        *
        * Since S corresponds to PLS gain, and P to deposit loss, we update S first.
        */
        uint marginalPLSGain = _PLSGainPerUnitStaked.mul(currentP);
        uint newS = currentS.add(marginalPLSGain);
        epochToScaleToSum[currentEpochCached][currentScaleCached] = newS;
        emit S_Updated(newS, currentEpochCached, currentScaleCached);

        // If the Stability Pool was emptied, increment the epoch, and reset the scale and product P
        if (newProductFactor == 0) {
            currentEpoch = currentEpochCached.add(1);
            emit EpochUpdated(currentEpoch);
            currentScale = 0;
            emit ScaleUpdated(currentScale);
            newP = DECIMAL_PRECISION;

        // If multiplying P by a non-zero product factor would reduce P below the scale boundary, increment the scale
        } else if (currentP.mul(newProductFactor).div(DECIMAL_PRECISION) < SCALE_FACTOR) {
            newP = currentP.mul(newProductFactor).mul(SCALE_FACTOR).div(DECIMAL_PRECISION); 
            currentScale = currentScaleCached.add(1);
            emit ScaleUpdated(currentScale);
        } else {
            newP = currentP.mul(newProductFactor).div(DECIMAL_PRECISION);
        }

        assert(newP > 0);
        P = newP;

        emit P_Updated(newP);
    }

    function _moveOffsetCollAndDebt(uint _collToAdd, uint _debtToOffset) internal {
        IActivePool activePoolCached = activePool;

        // Cancel the liquidated USDL debt with the USDL in the stability pool
        activePoolCached.decreaseUSDLDebt(_debtToOffset);
        _decreaseUSDL(_debtToOffset);

        // Burn the debt that was successfully offset
        usdlToken.burn(address(this), _debtToOffset);

        activePoolCached.sendPLS(address(this), _collToAdd);
    }

    function _decreaseUSDL(uint _amount) internal {
        uint newTotalUSDLDeposits = totalUSDLDeposits.sub(_amount);
        totalUSDLDeposits = newTotalUSDLDeposits;
        emit StabilityPoolUSDLBalanceUpdated(newTotalUSDLDeposits);
    }

    // --- Reward calculator functions for depositor and front end ---

    /* Calculates the PLS gain earned by the deposit since its last snapshots were taken.
    * Given by the formula:  E = d0 * (S - S(0))/P(0)
    * where S(0) and P(0) are the depositor's snapshots of the sum S and product P, respectively.
    * d0 is the last recorded deposit value.
    */
    function getDepositorPLSGain(address _depositor) public view override returns (uint) {
        uint initialDeposit = deposits[_depositor].initialValue;

        if (initialDeposit == 0) { return 0; }

        Snapshots memory snapshots = depositSnapshots[_depositor];

        uint PLSGain = _getPLSGainFromSnapshots(initialDeposit, snapshots);
        return PLSGain;
    }

    function _getPLSGainFromSnapshots(uint initialDeposit, Snapshots memory snapshots) internal view returns (uint) {
        /*
        * Grab the sum 'S' from the epoch at which the stake was made. The PLS gain may span up to one scale change.
        * If it does, the second portion of the PLS gain is scaled by 1e9.
        * If the gain spans no scale change, the second portion will be 0.
        */
        uint128 epochSnapshot = snapshots.epoch;
        uint128 scaleSnapshot = snapshots.scale;
        uint S_Snapshot = snapshots.S;
        uint P_Snapshot = snapshots.P;

        uint firstPortion = epochToScaleToSum[epochSnapshot][scaleSnapshot].sub(S_Snapshot);
        uint secondPortion = epochToScaleToSum[epochSnapshot][scaleSnapshot.add(1)].div(SCALE_FACTOR);

        uint PLSGain = initialDeposit.mul(firstPortion.add(secondPortion)).div(P_Snapshot).div(DECIMAL_PRECISION);

        return PLSGain;
    }

    /*
    * Calculate the LOAN gain earned by a deposit since its last snapshots were taken.
    * Given by the formula:  LOAN = d0 * (G - G(0))/P(0)
    * where G(0) and P(0) are the depositor's snapshots of the sum G and product P, respectively.
    * d0 is the last recorded deposit value.
    */
    function getDepositorLOANGain(address _depositor) public view override returns (uint) {
        uint initialDeposit = deposits[_depositor].initialValue;
        if (initialDeposit == 0) {return 0;}

        address frontEndTag = deposits[_depositor].frontEndTag;

        /*
        * If not tagged with a front end, the depositor gets a 100% cut of what their deposit earned.
        * Otherwise, their cut of the deposit's earnings is equal to the kickbackRate, set by the front end through
        * which they made their deposit.
        */
        uint kickbackRate = frontEndTag == address(0) ? DECIMAL_PRECISION : frontEnds[frontEndTag].kickbackRate;

        Snapshots memory snapshots = depositSnapshots[_depositor];

        uint LOANGain = kickbackRate.mul(_getLOANGainFromSnapshots(initialDeposit, snapshots)).div(DECIMAL_PRECISION);

        return LOANGain;
    }

    /*
    * Return the LOAN gain earned by the front end. Given by the formula:  E = D0 * (G - G(0))/P(0)
    * where G(0) and P(0) are the depositor's snapshots of the sum G and product P, respectively.
    *
    * D0 is the last recorded value of the front end's total tagged deposits.
    */
    function getFrontEndLOANGain(address _frontEnd) public view override returns (uint) {
        uint frontEndStake = frontEndStakes[_frontEnd];
        if (frontEndStake == 0) { return 0; }

        uint kickbackRate = frontEnds[_frontEnd].kickbackRate;
        uint frontEndShare = uint(DECIMAL_PRECISION).sub(kickbackRate);

        Snapshots memory snapshots = frontEndSnapshots[_frontEnd];

        uint LOANGain = frontEndShare.mul(_getLOANGainFromSnapshots(frontEndStake, snapshots)).div(DECIMAL_PRECISION);
        return LOANGain;
    }

    function _getLOANGainFromSnapshots(uint initialStake, Snapshots memory snapshots) internal view returns (uint) {
       /*
        * Grab the sum 'G' from the epoch at which the stake was made. The LOAN gain may span up to one scale change.
        * If it does, the second portion of the LOAN gain is scaled by 1e9.
        * If the gain spans no scale change, the second portion will be 0.
        */
        uint128 epochSnapshot = snapshots.epoch;
        uint128 scaleSnapshot = snapshots.scale;
        uint G_Snapshot = snapshots.G;
        uint P_Snapshot = snapshots.P;

        uint firstPortion = epochToScaleToG[epochSnapshot][scaleSnapshot].sub(G_Snapshot);
        uint secondPortion = epochToScaleToG[epochSnapshot][scaleSnapshot.add(1)].div(SCALE_FACTOR);

        uint LOANGain = initialStake.mul(firstPortion.add(secondPortion)).div(P_Snapshot).div(DECIMAL_PRECISION);

        return LOANGain;
    }

    // --- Compounded deposit and compounded front end stake ---

    /*
    * Return the user's compounded deposit. Given by the formula:  d = d0 * P/P(0)
    * where P(0) is the depositor's snapshot of the product P, taken when they last updated their deposit.
    */
    function getCompoundedUSDLDeposit(address _depositor) public view override returns (uint) {
        uint initialDeposit = deposits[_depositor].initialValue;
        if (initialDeposit == 0) { return 0; }

        Snapshots memory snapshots = depositSnapshots[_depositor];

        uint compoundedDeposit = _getCompoundedStakeFromSnapshots(initialDeposit, snapshots);
        return compoundedDeposit;
    }

    /*
    * Return the front end's compounded stake. Given by the formula:  D = D0 * P/P(0)
    * where P(0) is the depositor's snapshot of the product P, taken at the last time
    * when one of the front end's tagged deposits updated their deposit.
    *
    * The front end's compounded stake is equal to the sum of its depositors' compounded deposits.
    */
    function getCompoundedFrontEndStake(address _frontEnd) public view override returns (uint) {
        uint frontEndStake = frontEndStakes[_frontEnd];
        if (frontEndStake == 0) { return 0; }

        Snapshots memory snapshots = frontEndSnapshots[_frontEnd];

        uint compoundedFrontEndStake = _getCompoundedStakeFromSnapshots(frontEndStake, snapshots);
        return compoundedFrontEndStake;
    }

    // Internal function, used to calculcate compounded deposits and compounded front end stakes.
    function _getCompoundedStakeFromSnapshots(
        uint initialStake,
        Snapshots memory snapshots
    )
        internal
        view
        returns (uint)
    {
        uint snapshot_P = snapshots.P;
        uint128 scaleSnapshot = snapshots.scale;
        uint128 epochSnapshot = snapshots.epoch;

        // If stake was made before a pool-emptying event, then it has been fully cancelled with debt -- so, return 0
        if (epochSnapshot < currentEpoch) { return 0; }

        uint compoundedStake;
        uint128 scaleDiff = currentScale.sub(scaleSnapshot);

        /* Compute the compounded stake. If a scale change in P was made during the stake's lifetime,
        * account for it. If more than one scale change was made, then the stake has decreased by a factor of
        * at least 1e-9 -- so return 0.
        */
        if (scaleDiff == 0) {
            compoundedStake = initialStake.mul(P).div(snapshot_P);
        } else if (scaleDiff == 1) {
            compoundedStake = initialStake.mul(P).div(snapshot_P).div(SCALE_FACTOR);
        } else { // if scaleDiff >= 2
            compoundedStake = 0;
        }

        /*
        * If compounded deposit is less than a billionth of the initial deposit, return 0.
        *
        * NOTE: originally, this line was in place to stop rounding errors making the deposit too large. However, the error
        * corrections should ensure the error in P "favors the Pool", i.e. any given compounded deposit should slightly less
        * than it's theoretical value.
        *
        * Thus it's unclear whether this line is still really needed.
        */
        if (compoundedStake < initialStake.div(1e9)) {return 0;}

        return compoundedStake;
    }

    // --- Sender functions for USDL deposit, PLS gains and LOAN gains ---

    // Transfer the USDL tokens from the user to the Stability Pool's address, and update its recorded USDL
    function _sendUSDLtoStabilityPool(address _address, uint _amount) internal {
        usdlToken.sendToPool(_address, address(this), _amount);
        uint newTotalUSDLDeposits = totalUSDLDeposits.add(_amount);
        totalUSDLDeposits = newTotalUSDLDeposits;
        emit StabilityPoolUSDLBalanceUpdated(newTotalUSDLDeposits);
    }

    function _sendPLSGainToDepositor(uint _amount) internal {
        if (_amount == 0) {return;}
        uint newPLS = PLS.sub(_amount);
        PLS = newPLS;
        emit StabilityPoolPLSBalanceUpdated(newPLS);
        emit PulseSent(msg.sender, _amount);

        (bool success, ) = msg.sender.call{ value: _amount }("");
        require(success, "StabilityPool: sending PLS failed");
    }

    // Send USDL to user and decrease USDL in Pool
    function _sendUSDLToDepositor(address _depositor, uint USDLWithdrawal) internal {
        if (USDLWithdrawal == 0) {return;}

        usdlToken.returnFromPool(address(this), _depositor, USDLWithdrawal);
        _decreaseUSDL(USDLWithdrawal);
    }

    // --- External Front End functions ---

    // Front end makes a one-time selection of kickback rate upon registering
    function registerFrontEnd(uint _kickbackRate) external override {
        _requireFrontEndNotRegistered(msg.sender);
        _requireUserHasNoDeposit(msg.sender);
        _requireValidKickbackRate(_kickbackRate);

        frontEnds[msg.sender].kickbackRate = _kickbackRate;
        frontEnds[msg.sender].registered = true;

        emit FrontEndRegistered(msg.sender, _kickbackRate);
    }

    // --- Stability Pool Deposit Functionality ---

    function _setFrontEndTag(address _depositor, address _frontEndTag) internal {
        deposits[_depositor].frontEndTag = _frontEndTag;
        emit FrontEndTagSet(_depositor, _frontEndTag);
    }


    function _updateDepositAndSnapshots(address _depositor, uint _newValue) internal {
        deposits[_depositor].initialValue = _newValue;

        if (_newValue == 0) {
            delete deposits[_depositor].frontEndTag;
            delete depositSnapshots[_depositor];
            emit DepositSnapshotUpdated(_depositor, 0, 0, 0);
            return;
        }
        uint128 currentScaleCached = currentScale;
        uint128 currentEpochCached = currentEpoch;
        uint currentP = P;

        // Get S and G for the current epoch and current scale
        uint currentS = epochToScaleToSum[currentEpochCached][currentScaleCached];
        uint currentG = epochToScaleToG[currentEpochCached][currentScaleCached];

        // Record new snapshots of the latest running product P, sum S, and sum G, for the depositor
        depositSnapshots[_depositor].P = currentP;
        depositSnapshots[_depositor].S = currentS;
        depositSnapshots[_depositor].G = currentG;
        depositSnapshots[_depositor].scale = currentScaleCached;
        depositSnapshots[_depositor].epoch = currentEpochCached;

        emit DepositSnapshotUpdated(_depositor, currentP, currentS, currentG);
    }

    function _updateFrontEndStakeAndSnapshots(address _frontEnd, uint _newValue) internal {
        frontEndStakes[_frontEnd] = _newValue;

        if (_newValue == 0) {
            delete frontEndSnapshots[_frontEnd];
            emit FrontEndSnapshotUpdated(_frontEnd, 0, 0);
            return;
        }

        uint128 currentScaleCached = currentScale;
        uint128 currentEpochCached = currentEpoch;
        uint currentP = P;

        // Get G for the current epoch and current scale
        uint currentG = epochToScaleToG[currentEpochCached][currentScaleCached];

        // Record new snapshots of the latest running product P and sum G for the front end
        frontEndSnapshots[_frontEnd].P = currentP;
        frontEndSnapshots[_frontEnd].G = currentG;
        frontEndSnapshots[_frontEnd].scale = currentScaleCached;
        frontEndSnapshots[_frontEnd].epoch = currentEpochCached;

        emit FrontEndSnapshotUpdated(_frontEnd, currentP, currentG);
    }

    function _payOutLOANGains(ICommunityIssuance _communityIssuance, address _depositor, address _frontEnd) internal {
        // Pay out front end's LOAN gain
        if (_frontEnd != address(0)) {
            uint frontEndLOANGain = getFrontEndLOANGain(_frontEnd);
            _communityIssuance.sendLOAN(_frontEnd, frontEndLOANGain);
            emit LOANPaidToFrontEnd(_frontEnd, frontEndLOANGain);
        }

        // Pay out depositor's LOAN gain
        uint depositorLOANGain = getDepositorLOANGain(_depositor);
        _communityIssuance.sendLOAN(_depositor, depositorLOANGain);
        emit LOANPaidToDepositor(_depositor, depositorLOANGain);
    }

    // --- 'require' functions ---

    function _requireCallerIsActivePool() internal view {
        require( msg.sender == address(activePool), "StabilityPool: Caller is not ActivePool");
    }

    function _requireCallerIsVaultManager() internal view {
        require(msg.sender == address(vaultManager), "StabilityPool: Caller is not VaultManager");
    }

    function _requireNoUnderCollateralizedVaults() internal {
        uint price = priceFeed.fetchPrice();
        address lowestVault = sortedVaults.getLast();
        uint ICR = vaultManager.getCurrentICR(lowestVault, price);
        require(ICR >= MCR, "StabilityPool: Cannot withdraw while there are vaults with ICR < MCR");
    }

    function _requireUserHasDeposit(uint _initialDeposit) internal pure {
        require(_initialDeposit > 0, 'StabilityPool: User must have a non-zero deposit');
    }

     function _requireUserHasNoDeposit(address _address) internal view {
        uint initialDeposit = deposits[_address].initialValue;
        require(initialDeposit == 0, 'StabilityPool: User must have no deposit');
    }

    function _requireNonZeroAmount(uint _amount) internal pure {
        require(_amount > 0, 'StabilityPool: Amount must be non-zero');
    }

    function _requireUserHasVault(address _depositor) internal view {
        require(vaultManager.getVaultStatus(_depositor) == 1, "StabilityPool: caller must have an active vault to withdraw PLSGain to");
    }

    function _requireUserHasPLSGain(address _depositor) internal view {
        uint PLSGain = getDepositorPLSGain(_depositor);
        require(PLSGain > 0, "StabilityPool: caller must have non-zero PLS Gain");
    }

    function _requireFrontEndNotRegistered(address _address) internal view {
        require(!frontEnds[_address].registered, "StabilityPool: must not already be a registered front end");
    }

     function _requireFrontEndIsRegisteredOrZero(address _address) internal view {
        require(frontEnds[_address].registered || _address == address(0),
            "StabilityPool: Tag must be a registered front end, or the zero address");
    }

    function  _requireValidKickbackRate(uint _kickbackRate) internal pure {
        require (_kickbackRate <= DECIMAL_PRECISION, "StabilityPool: Kickback rate must be in range [0,1]");
    }

    // --- Fallback function ---

    receive() external payable {
        _requireCallerIsActivePool();
        PLS = PLS.add(msg.value);
        StabilityPoolPLSBalanceUpdated(PLS);
    }
}
// 2022 Liquid Loans
        

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

// uint128 addition and subtraction, with overflow protection.

library LiquidLoansSafeMath128 {
    function add(uint128 a, uint128 b) internal pure returns (uint128) {
        uint128 c = a + b;
        require(c >= a, "LiquidLoansSafeMath128: addition overflow");

        return c;
    }
   
    function sub(uint128 a, uint128 b) internal pure returns (uint128) {
        require(b <= a, "LiquidLoansSafeMath128: subtraction overflow");
        uint128 c = a - b;

        return c;
    }
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

// Common interface for the Vault Manager.
interface IBorrowerOperations {

    // --- Events ---

    event VaultManagerAddressChanged(address _newVaultManagerAddress);
    event ActivePoolAddressChanged(address _activePoolAddress);
    event DefaultPoolAddressChanged(address _defaultPoolAddress);
    event StabilityPoolAddressChanged(address _stabilityPoolAddress);
    event GasPoolAddressChanged(address _gasPoolAddress);
    event CollSurplusPoolAddressChanged(address _collSurplusPoolAddress);
    event PriceFeedAddressChanged(address  _newPriceFeedAddress);
    event SortedVaultsAddressChanged(address _sortedVaultsAddress);
    event USDLTokenAddressChanged(address _usdlTokenAddress);
    event LOANStakingAddressChanged(address _loanStakingAddress);

    event VaultCreated(address indexed _borrower, uint arrayIndex);
    event VaultUpdated(address indexed _borrower, uint _debt, uint _coll, uint stake, uint8 operation);
    event USDLBorrowingFeePaid(address indexed _borrower, uint _USDLFee);

    // --- Functions ---

    function setAddresses(
        address _vaultManagerAddress,
        address _activePoolAddress,
        address _defaultPoolAddress,
        address _stabilityPoolAddress,
        address _gasPoolAddress,
        address _collSurplusPoolAddress,
        address _priceFeedAddress,
        address _sortedVaultsAddress,
        address _usdlTokenAddress,
        address _loanStakingAddress
    ) external;

    function openVault(uint _maxFee, uint _USDLAmount, address _upperHint, address _lowerHint) external payable;

    function addColl(address _upperHint, address _lowerHint) external payable;

    function movePLSGainToVault(address _user, address _upperHint, address _lowerHint) external payable;

    function withdrawColl(uint _amount, address _upperHint, address _lowerHint) external;

    function withdrawUSDL(uint _maxFee, uint _amount, address _upperHint, address _lowerHint) external;

    function repayUSDL(uint _amount, address _upperHint, address _lowerHint) external;

    function closeVault() external;

    function adjustVault(uint _maxFee, uint _collWithdrawal, uint _debtChange, bool isDebtIncrease, address _upperHint, address _lowerHint) external payable;

    function claimCollateral() external;

    function getCompositeDebt(uint _debt) external pure returns (uint);
}

// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

interface ICommunityIssuance { 
    
    // --- Events ---
    
    event LOANTokenAddressSet(address _loanTokenAddress);
    event StabilityPoolAddressSet(address _stabilityPoolAddress);
    event TotalLOANIssuedUpdated(uint _totalLOANIssued);

    // --- Functions ---

    function setAddresses(address _loanTokenAddress, address _stabilityPoolAddress) external;

    function issueLOAN() external returns (uint);

    function sendLOAN(address _account, uint _LOANamount) external;
}

// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT
pragma solidity 0.6.11;


contract BaseMath {
    uint constant public DECIMAL_PRECISION = 1e18;
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

// Buidler's helper contract for console logging
library console {
	address constant CONSOLE_ADDRESS = address(0x000000000000000000636F6e736F6c652e6c6f67);

	function log() internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log()"));
		ignored;
	}	function logInt(int p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(int)", p0));
		ignored;
	}

	function logUint(uint p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint)", p0));
		ignored;
	}

	function logString(string memory p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string)", p0));
		ignored;
	}

	function logBool(bool p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool)", p0));
		ignored;
	}

	function logAddress(address p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address)", p0));
		ignored;
	}

	function logBytes(bytes memory p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes)", p0));
		ignored;
	}

	function logByte(byte p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(byte)", p0));
		ignored;
	}

	function logBytes1(bytes1 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes1)", p0));
		ignored;
	}

	function logBytes2(bytes2 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes2)", p0));
		ignored;
	}

	function logBytes3(bytes3 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes3)", p0));
		ignored;
	}

	function logBytes4(bytes4 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes4)", p0));
		ignored;
	}

	function logBytes5(bytes5 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes5)", p0));
		ignored;
	}

	function logBytes6(bytes6 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes6)", p0));
		ignored;
	}

	function logBytes7(bytes7 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes7)", p0));
		ignored;
	}

	function logBytes8(bytes8 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes8)", p0));
		ignored;
	}

	function logBytes9(bytes9 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes9)", p0));
		ignored;
	}

	function logBytes10(bytes10 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes10)", p0));
		ignored;
	}

	function logBytes11(bytes11 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes11)", p0));
		ignored;
	}

	function logBytes12(bytes12 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes12)", p0));
		ignored;
	}

	function logBytes13(bytes13 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes13)", p0));
		ignored;
	}

	function logBytes14(bytes14 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes14)", p0));
		ignored;
	}

	function logBytes15(bytes15 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes15)", p0));
		ignored;
	}

	function logBytes16(bytes16 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes16)", p0));
		ignored;
	}

	function logBytes17(bytes17 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes17)", p0));
		ignored;
	}

	function logBytes18(bytes18 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes18)", p0));
		ignored;
	}

	function logBytes19(bytes19 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes19)", p0));
		ignored;
	}

	function logBytes20(bytes20 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes20)", p0));
		ignored;
	}

	function logBytes21(bytes21 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes21)", p0));
		ignored;
	}

	function logBytes22(bytes22 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes22)", p0));
		ignored;
	}

	function logBytes23(bytes23 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes23)", p0));
		ignored;
	}

	function logBytes24(bytes24 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes24)", p0));
		ignored;
	}

	function logBytes25(bytes25 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes25)", p0));
		ignored;
	}

	function logBytes26(bytes26 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes26)", p0));
		ignored;
	}

	function logBytes27(bytes27 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes27)", p0));
		ignored;
	}

	function logBytes28(bytes28 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes28)", p0));
		ignored;
	}

	function logBytes29(bytes29 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes29)", p0));
		ignored;
	}

	function logBytes30(bytes30 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes30)", p0));
		ignored;
	}

	function logBytes31(bytes31 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes31)", p0));
		ignored;
	}

	function logBytes32(bytes32 p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bytes32)", p0));
		ignored;
	}

	function log(uint p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint)", p0));
		ignored;
	}

	function log(string memory p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string)", p0));
		ignored;
	}

	function log(bool p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool)", p0));
		ignored;
	}

	function log(address p0) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address)", p0));
		ignored;
	}

	function log(uint p0, uint p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint)", p0, p1));
		ignored;
	}

	function log(uint p0, string memory p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string)", p0, p1));
		ignored;
	}

	function log(uint p0, bool p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool)", p0, p1));
		ignored;
	}

	function log(uint p0, address p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address)", p0, p1));
		ignored;
	}

	function log(string memory p0, uint p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint)", p0, p1));
		ignored;
	}

	function log(string memory p0, string memory p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string)", p0, p1));
		ignored;
	}

	function log(string memory p0, bool p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool)", p0, p1));
		ignored;
	}

	function log(string memory p0, address p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address)", p0, p1));
		ignored;
	}

	function log(bool p0, uint p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint)", p0, p1));
		ignored;
	}

	function log(bool p0, string memory p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string)", p0, p1));
		ignored;
	}

	function log(bool p0, bool p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool)", p0, p1));
		ignored;
	}

	function log(bool p0, address p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address)", p0, p1));
		ignored;
	}

	function log(address p0, uint p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint)", p0, p1));
		ignored;
	}

	function log(address p0, string memory p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string)", p0, p1));
		ignored;
	}

	function log(address p0, bool p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool)", p0, p1));
		ignored;
	}

	function log(address p0, address p1) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address)", p0, p1));
		ignored;
	}

	function log(uint p0, uint p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,uint)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, uint p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,string)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, uint p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,bool)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, uint p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,address)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, string memory p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,uint)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, string memory p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,string)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, string memory p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,bool)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, string memory p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,address)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, bool p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,uint)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, bool p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,string)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, bool p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,bool)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, bool p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,address)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, address p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,uint)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, address p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,string)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, address p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,bool)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, address p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,address)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, uint p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,uint)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, uint p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,string)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, uint p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,bool)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, uint p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,address)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, string memory p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,uint)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, string memory p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,string)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, string memory p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,bool)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, string memory p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,address)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, bool p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,uint)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, bool p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,string)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, bool p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,bool)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, bool p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,address)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, address p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,uint)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, address p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,string)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, address p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,bool)", p0, p1, p2));
		ignored;
	}

	function log(string memory p0, address p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,address)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, uint p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,uint)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, uint p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,string)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, uint p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,bool)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, uint p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,address)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, string memory p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,uint)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, string memory p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,string)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, string memory p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,bool)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, string memory p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,address)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, bool p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,uint)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, bool p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,string)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, bool p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,bool)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, bool p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,address)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, address p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,uint)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, address p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,string)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, address p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,bool)", p0, p1, p2));
		ignored;
	}

	function log(bool p0, address p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,address)", p0, p1, p2));
		ignored;
	}

	function log(address p0, uint p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,uint)", p0, p1, p2));
		ignored;
	}

	function log(address p0, uint p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,string)", p0, p1, p2));
		ignored;
	}

	function log(address p0, uint p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,bool)", p0, p1, p2));
		ignored;
	}

	function log(address p0, uint p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,address)", p0, p1, p2));
		ignored;
	}

	function log(address p0, string memory p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,uint)", p0, p1, p2));
		ignored;
	}

	function log(address p0, string memory p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,string)", p0, p1, p2));
		ignored;
	}

	function log(address p0, string memory p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,bool)", p0, p1, p2));
		ignored;
	}

	function log(address p0, string memory p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,address)", p0, p1, p2));
		ignored;
	}

	function log(address p0, bool p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,uint)", p0, p1, p2));
		ignored;
	}

	function log(address p0, bool p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,string)", p0, p1, p2));
		ignored;
	}

	function log(address p0, bool p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,bool)", p0, p1, p2));
		ignored;
	}

	function log(address p0, bool p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,address)", p0, p1, p2));
		ignored;
	}

	function log(address p0, address p1, uint p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,uint)", p0, p1, p2));
		ignored;
	}

	function log(address p0, address p1, string memory p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,string)", p0, p1, p2));
		ignored;
	}

	function log(address p0, address p1, bool p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,bool)", p0, p1, p2));
		ignored;
	}

	function log(address p0, address p1, address p2) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,address)", p0, p1, p2));
		ignored;
	}

	function log(uint p0, uint p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, uint p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,uint,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, string memory p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,string,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, bool p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,bool,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(uint p0, address p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(uint,address,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, uint p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,uint,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, string memory p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,string,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, bool p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,bool,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(string memory p0, address p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(string,address,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, uint p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,uint,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, string memory p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,string,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, bool p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,bool,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(bool p0, address p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(bool,address,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, uint p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,uint,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, string memory p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,string,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, bool p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,bool,address,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, uint p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,uint,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, uint p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,uint,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, uint p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,uint,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, uint p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,uint,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, string memory p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,string,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, string memory p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,string,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, string memory p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,string,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, string memory p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,string,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, bool p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,bool,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, bool p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,bool,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, bool p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,bool,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, bool p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,bool,address)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, address p2, uint p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,address,uint)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, address p2, string memory p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,address,string)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, address p2, bool p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,address,bool)", p0, p1, p2, p3));
		ignored;
	}

	function log(address p0, address p1, address p2, address p3) internal view {
		(bool ignored, ) = CONSOLE_ADDRESS.staticcall(abi.encodeWithSignature("log(address,address,address,address)", p0, p1, p2, p3));
		ignored;
	}

}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "./SafeMath.sol";
import "./console.sol";

library LiquidLoansMath {
    using SafeMath for uint;

    uint internal constant DECIMAL_PRECISION = 1e18;

    /* Precision for Nominal ICR (independent of price). Rationale for the value:
     *
     * - Making it “too high” could lead to overflows.
     * - Making it “too low” could lead to an ICR equal to zero, due to truncation from Solidity floor division. 
     *
     * This value of 1e20 is chosen for safety: the NICR will only overflow for numerator > ~1e39 PLS,
     * and will only truncate to 0 if the denominator is at least 1e20 times greater than the numerator.
     *
     */
    uint internal constant NICR_PRECISION = 1e20;

    function _min(uint _a, uint _b) internal pure returns (uint) {
        return (_a < _b) ? _a : _b;
    }

    function _max(uint _a, uint _b) internal pure returns (uint) {
        return (_a >= _b) ? _a : _b;
    }

    /* 
    * Multiply two decimal numbers and use normal rounding rules:
    * -round product up if 19'th mantissa digit >= 5
    * -round product down if 19'th mantissa digit < 5
    *
    * Used only inside the exponentiation, _decPow().
    */
    function decMul(uint x, uint y) internal pure returns (uint decProd) {
        uint prod_xy = x.mul(y);

        decProd = prod_xy.add(DECIMAL_PRECISION / 2).div(DECIMAL_PRECISION);
    }

    /* 
    * _decPow: Exponentiation function for 18-digit decimal base, and integer exponent n.
    * 
    * Uses the efficient "exponentiation by squaring" algorithm. O(log(n)) complexity. 
    * 
    * Called by two functions that represent time in units of minutes:
    * 1) VaultManager._calcDecayedBaseRate
    * 2) CommunityIssuance._getCumulativeIssuanceFraction 
    * 
    * The exponent is capped to avoid reverting due to overflow. The cap 525600000 equals
    * "minutes in 1000 years": 60 * 24 * 365 * 1000
    * 
    * If a period of > 1000 years is ever used as an exponent in either of the above functions, the result will be
    * negligibly different from just passing the cap, since: 
    *
    * In function 1), the decayed base rate will be 0 for 1000 years or > 1000 years
    * In function 2), the difference in tokens issued at 1000 years and any time > 1000 years, will be negligible
    */
    function _decPow(uint _base, uint _minutes) internal pure returns (uint) {
       
        if (_minutes > 525600000) {_minutes = 525600000;}  // cap to avoid overflow
    
        if (_minutes == 0) {return DECIMAL_PRECISION;}

        uint y = DECIMAL_PRECISION;
        uint x = _base;
        uint n = _minutes;

        // Exponentiation-by-squaring
        while (n > 1) {
            if (n % 2 == 0) {
                x = decMul(x, x);
                n = n.div(2);
            } else { // if (n % 2 != 0)
                y = decMul(x, y);
                x = decMul(x, x);
                n = (n.sub(1)).div(2);
            }
        }

        return decMul(x, y);
  }

    function _getAbsoluteDifference(uint _a, uint _b) internal pure returns (uint) {
        return (_a >= _b) ? _a.sub(_b) : _b.sub(_a);
    }

    function _computeNominalCR(uint _coll, uint _debt) internal pure returns (uint) {
        if (_debt > 0) {
            return _coll.mul(NICR_PRECISION).div(_debt);
        }
        // Return the maximal value for uint256 if the Vault has a debt of 0. Represents "infinite" CR.
        else { // if (_debt == 0)
            return 2**256 - 1;
        }
    }

    function _computeCR(uint _coll, uint _debt, uint _price) internal pure returns (uint) {
        if (_debt > 0) {
            uint newCollRatio = _coll.mul(_price).div(_debt);

            return newCollRatio;
        }
        // Return the maximal value for uint256 if the Vault has a debt of 0. Represents "infinite" CR.
        else { // if (_debt == 0)
            return 2**256 - 1; 
        }
    }
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "./BaseMath.sol";
import "./LiquidLoansMath.sol";
import "../Interfaces/IActivePool.sol";
import "../Interfaces/IDefaultPool.sol";
import "../Interfaces/IPriceFeed.sol";
import "../Interfaces/ILiquidLoansBase.sol";

/* 
* Base contract for VaultManager, BorrowerOperations and StabilityPool. Contains global system constants and
* common functions. 
*/
contract LiquidLoansBase is BaseMath, ILiquidLoansBase{
    using SafeMath for uint;

    uint constant public _100pct = 1000000000000000000; // 1e18 == 100%

    // Minimum collateral ratio for individual vaults
    uint constant public MCR = 1100000000000000000; // 110%

    // Critical system collateral ratio. If the system's total collateral ratio (TCR) falls below the CCR, Recovery Mode is triggered.
    uint constant public CCR = 1500000000000000000; // 150%

    // Amount of USDL to be locked in gas pool on opening vaults
    uint constant public USDL_GAS_COMPENSATION = 200e18;

    // Minimum amount of net USDL debt a vault must have
    uint constant public MIN_NET_DEBT = 1800e18;
    // uint constant public MIN_NET_DEBT = 0; 

    uint constant public PERCENT_DIVISOR = 200; // dividing by 200 yields 0.5%

    uint constant public BORROWING_FEE_FLOOR = DECIMAL_PRECISION / 1000 * 5; // 0.5%

    IActivePool public activePool;

    IDefaultPool public defaultPool;

    IPriceFeed public override priceFeed;

    // --- Gas compensation functions ---

    // Returns the composite debt (drawn debt + gas compensation) of a vault, for the purpose of ICR calculation
    function _getCompositeDebt(uint _debt) internal pure returns (uint) {
        return _debt.add(USDL_GAS_COMPENSATION);
    }

    function _getNetDebt(uint _debt) internal pure returns (uint) {
        return _debt.sub(USDL_GAS_COMPENSATION);
    }

    // Return the amount of PLS to be drawn from a vault's collateral and sent as gas compensation.
    function _getCollGasCompensation(uint _entireColl) internal pure returns (uint) {
        return _entireColl / PERCENT_DIVISOR;
    }

    function getEntireSystemColl() public view returns (uint entireSystemColl) {
        uint activeColl = activePool.getPLS();
        uint liquidatedColl = defaultPool.getPLS();

        return activeColl.add(liquidatedColl);
    }

    function getEntireSystemDebt() public view returns (uint entireSystemDebt) {
        uint activeDebt = activePool.getUSDLDebt();
        uint closedDebt = defaultPool.getUSDLDebt();

        return activeDebt.add(closedDebt);
    }

    function _getTCR(uint _price) internal view returns (uint TCR) {
        uint entireSystemColl = getEntireSystemColl();
        uint entireSystemDebt = getEntireSystemDebt();

        TCR = LiquidLoansMath._computeCR(entireSystemColl, entireSystemDebt, _price);

        return TCR;
    }

    function _checkRecoveryMode(uint _price) internal view returns (bool) {
        uint TCR = _getTCR(_price);

        return TCR < CCR;
    }

    function _requireUserAcceptsFee(uint _fee, uint _amount, uint _maxFeePercentage) internal pure {
        uint feePercentage = _fee.mul(DECIMAL_PRECISION).div(_amount);
        require(feePercentage <= _maxFeePercentage, "Fee exceeded provided maximum");
    }
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "./IPriceFeed.sol";


interface ILiquidLoansBase {
    function priceFeed() external view returns (IPriceFeed);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;


contract CheckContract {
    /**
     * Check that the account is an already deployed non-destroyed contract.
     * See: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/utils/Address.sol#L12
     */
    function checkContract(address _account) internal view {
        require(_account != address(0), "Account cannot be zero address");

        uint256 size;
        // solhint-disable-next-line no-inline-assembly
        assembly { size := extcodesize(_account) }
        require(size > 0, "Account code size cannot be zero");
    }
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

/*
 * The Stability Pool holds USDL tokens deposited by Stability Pool depositors.
 *
 * When a vault is liquidated, then depending on system conditions, some of its USDL debt gets offset with
 * USDL in the Stability Pool:  that is, the offset debt evaporates, and an equal amount of USDL tokens in the Stability Pool is burned.
 *
 * Thus, a liquidation causes each depositor to receive a USDL loss, in proportion to their deposit as a share of total deposits.
 * They also receive an PLS gain, as the PLS collateral of the liquidated vault is distributed among Stability depositors,
 * in the same proportion.
 *
 * When a liquidation occurs, it depletes every deposit by the same fraction: for example, a liquidation that depletes 40%
 * of the total USDL in the Stability Pool, depletes 40% of each deposit.
 *
 * A deposit that has experienced a series of liquidations is termed a "compounded deposit": each liquidation depletes the deposit,
 * multiplying it by some factor in range ]0,1[
 *
 *
 * --- LOAN ISSUANCE TO STABILITY POOL DEPOSITORS ---
 *
 * An LOAN issuance event occurs at every deposit operation, and every liquidation.
 *
 * Each deposit is tagged with the address of the front end through which it was made.
 *
 * All deposits earn a share of the issued LOAN in proportion to the deposit as a share of total deposits. The LOAN earned
 * by a given deposit, is split between the depositor and the front end through which the deposit was made, based on the front end's kickbackRate.
 *
 * Please see the system Readme for an overview:
 * https://github.com/Liquid-Loans-Official/monorepo/blob/main/README.md#loan-issuance-to-stability-providers
 */
interface IStabilityPool {

    // --- Events ---
    
    event StabilityPoolPLSBalanceUpdated(uint _newBalance);
    event StabilityPoolUSDLBalanceUpdated(uint _newBalance);

    event BorrowerOperationsAddressChanged(address _newBorrowerOperationsAddress);
    event VaultManagerAddressChanged(address _newVaultManagerAddress);
    event ActivePoolAddressChanged(address _newActivePoolAddress);
    event DefaultPoolAddressChanged(address _newDefaultPoolAddress);
    event USDLTokenAddressChanged(address _newUSDLTokenAddress);
    event SortedVaultsAddressChanged(address _newSortedVaultsAddress);
    event PriceFeedAddressChanged(address _newPriceFeedAddress);
    event CommunityIssuanceAddressChanged(address _newCommunityIssuanceAddress);

    event P_Updated(uint _P);
    event S_Updated(uint _S, uint128 _epoch, uint128 _scale);
    event G_Updated(uint _G, uint128 _epoch, uint128 _scale);
    event EpochUpdated(uint128 _currentEpoch);
    event ScaleUpdated(uint128 _currentScale);

    event FrontEndRegistered(address indexed _frontEnd, uint _kickbackRate);
    event FrontEndTagSet(address indexed _depositor, address indexed _frontEnd);

    event DepositSnapshotUpdated(address indexed _depositor, uint _P, uint _S, uint _G);
    event FrontEndSnapshotUpdated(address indexed _frontEnd, uint _P, uint _G);
    event UserDepositChanged(address indexed _depositor, uint _newDeposit);
    event FrontEndStakeChanged(address indexed _frontEnd, uint _newFrontEndStake, address _depositor);

    event PLSGainWithdrawn(address indexed _depositor, uint _PLS, uint _USDLLoss);
    event LOANPaidToDepositor(address indexed _depositor, uint _LOAN);
    event LOANPaidToFrontEnd(address indexed _frontEnd, uint _LOAN);
    event PulseSent(address _to, uint _amount);

    // --- Functions ---

    /*
     * Called only once on init, to set addresses of other LiquidLoans contracts
     * Callable only by owner, renounces ownership at the end
     */
    function setAddresses(
        address _borrowerOperationsAddress,
        address _vaultManagerAddress,
        address _activePoolAddress,
        address _usdlTokenAddress,
        address _sortedVaultsAddress,
        address _priceFeedAddress,
        address _communityIssuanceAddress
    ) external;

    /*
     * Initial checks:
     * - Frontend is registered or zero address
     * - Sender is not a registered frontend
     * - _amount is not zero
     * ---
     * - Triggers a LOAN issuance, based on time passed since the last issuance. The LOAN issuance is shared between *all* depositors and front ends
     * - Tags the deposit with the provided front end tag param, if it's a new deposit
     * - Sends depositor's accumulated gains (LOAN, PLS) to depositor
     * - Sends the tagged front end's accumulated LOAN gains to the tagged front end
     * - Increases deposit and tagged front end's stake, and takes new snapshots for each.
     */
    function provideToSP(uint _amount, address _frontEndTag) external;

    /*
     * Initial checks:
     * - _amount is zero or there are no under collateralized vaults left in the system
     * - User has a non zero deposit
     * ---
     * - Triggers a LOAN issuance, based on time passed since the last issuance. The LOAN issuance is shared between *all* depositors and front ends
     * - Removes the deposit's front end tag if it is a full withdrawal
     * - Sends all depositor's accumulated gains (LOAN, PLS) to depositor
     * - Sends the tagged front end's accumulated LOAN gains to the tagged front end
     * - Decreases deposit and tagged front end's stake, and takes new snapshots for each.
     *
     * If _amount > userDeposit, the user withdraws all of their compounded deposit.
     */
    function withdrawFromSP(uint _amount) external;

    /*
     * Initial checks:
     * - User has a non zero deposit
     * - User has an open vault
     * - User has some PLS gain
     * ---
     * - Triggers a LOAN issuance, based on time passed since the last issuance. The LOAN issuance is shared between *all* depositors and front ends
     * - Sends all depositor's LOAN gain to  depositor
     * - Sends all tagged front end's LOAN gain to the tagged front end
     * - Transfers the depositor's entire PLS gain from the Stability Pool to the caller's vault
     * - Leaves their compounded deposit in the Stability Pool
     * - Updates snapshots for deposit and tagged front end stake
     */
    function withdrawPLSGainToVault(address _upperHint, address _lowerHint) external;

    /*
     * Initial checks:
     * - Frontend (sender) not already registered
     * - User (sender) has no deposit
     * - _kickbackRate is in the range [0, 100%]
     * ---
     * Front end makes a one-time selection of kickback rate upon registering
     */
    function registerFrontEnd(uint _kickbackRate) external;

    /*
     * Initial checks:
     * - Caller is VaultManager
     * ---
     * Cancels out the specified debt against the USDL contained in the Stability Pool (as far as possible)
     * and transfers the Vault's PLS collateral from ActivePool to StabilityPool.
     * Only called by liquidation functions in the VaultManager.
     */
    function offset(uint _debt, uint _coll) external;

    /*
     * Returns the total amount of PLS held by the pool, accounted in an internal variable instead of `balance`,
     * to exclude edge cases like PLS received from a self-destruct.
     */
    function getPLS() external view returns (uint);

    /*
     * Returns USDL held in the pool. Changes when users deposit/withdraw, and when Vault debt is offset.
     */
    function getTotalUSDLDeposits() external view returns (uint);

    /*
     * Calculates the PLS gain earned by the deposit since its last snapshots were taken.
     */
    function getDepositorPLSGain(address _depositor) external view returns (uint);

    /*
     * Calculate the LOAN gain earned by a deposit since its last snapshots were taken.
     * If not tagged with a front end, the depositor gets a 100% cut of what their deposit earned.
     * Otherwise, their cut of the deposit's earnings is equal to the kickbackRate, set by the front end through
     * which they made their deposit.
     */
    function getDepositorLOANGain(address _depositor) external view returns (uint);

    /*
     * Return the LOAN gain earned by the front end.
     */
    function getFrontEndLOANGain(address _frontEnd) external view returns (uint);

    /*
     * Return the user's compounded deposit.
     */
    function getCompoundedUSDLDeposit(address _depositor) external view returns (uint);

    /*
     * Return the front end's compounded stake.
     *
     * The front end's compounded stake is equal to the sum of its depositors' compounded deposits.
     */
    function getCompoundedFrontEndStake(address _frontEnd) external view returns (uint);

    /*
     * Fallback function
     * Only callable by Active Pool, it just accounts for PLS received
     * receive() external payable;
     */
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "./ILiquidLoansBase.sol";
import "./IStabilityPool.sol";
import "./IUSDLToken.sol";
import "./ILOANToken.sol";
import "./ILOANStaking.sol";


// Common interface for the Vault Manager.
interface IVaultManager is ILiquidLoansBase {
    
    // --- Events ---

    event BorrowerOperationsAddressChanged(address _newBorrowerOperationsAddress);
    event PriceFeedAddressChanged(address _newPriceFeedAddress);
    event USDLTokenAddressChanged(address _newUSDLTokenAddress);
    event ActivePoolAddressChanged(address _activePoolAddress);
    event DefaultPoolAddressChanged(address _defaultPoolAddress);
    event StabilityPoolAddressChanged(address _stabilityPoolAddress);
    event GasPoolAddressChanged(address _gasPoolAddress);
    event CollSurplusPoolAddressChanged(address _collSurplusPoolAddress);
    event SortedVaultsAddressChanged(address _sortedVaultsAddress);
    event LOANTokenAddressChanged(address _loanTokenAddress);
    event LOANStakingAddressChanged(address _loanStakingAddress);

    event Liquidation(uint _liquidatedDebt, uint _liquidatedColl, uint _collGasCompensation, uint _USDLGasCompensation);
    event Redemption(uint _attemptedUSDLAmount, uint _actualUSDLAmount, uint _PLSSent, uint _PLSFee);
    event VaultUpdated(address indexed _borrower, uint _debt, uint _coll, uint stake, uint8 operation);
    event VaultLiquidated(address indexed _borrower, uint _debt, uint _coll, uint8 operation);
    event BaseRateUpdated(uint _baseRate);
    event LastFeeOpTimeUpdated(uint _lastFeeOpTime);
    event TotalStakesUpdated(uint _newTotalStakes);
    event SystemSnapshotsUpdated(uint _totalStakesSnapshot, uint _totalCollateralSnapshot);
    event LTermsUpdated(uint _L_PLS, uint _L_USDLDebt);
    event VaultSnapshotsUpdated(uint _L_PLS, uint _L_USDLDebt);
    event VaultIndexUpdated(address _borrower, uint _newIndex);

    // --- Functions ---

    function setAddresses(
        address _borrowerOperationsAddress,
        address _activePoolAddress,
        address _defaultPoolAddress,
        address _stabilityPoolAddress,
        address _gasPoolAddress,
        address _collSurplusPoolAddress,
        address _priceFeedAddress,
        address _usdlTokenAddress,
        address _sortedVaultsAddress,
        address _loanTokenAddress,
        address _loanStakingAddress
    ) external;

    function stabilityPool() external view returns (IStabilityPool);
    function usdlToken() external view returns (IUSDLToken);
    function loanToken() external view returns (ILOANToken);
    function loanStaking() external view returns (ILOANStaking);

    function getVaultOwnersCount() external view returns (uint);

    function getVaultFromVaultOwnersArray(uint _index) external view returns (address);

    function getNominalICR(address _borrower) external view returns (uint);
    function getCurrentICR(address _borrower, uint _price) external view returns (uint);

    function liquidate(address _borrower) external;

    function liquidateVaults(uint _n) external;

    function batchLiquidateVaults(address[] calldata _vaultArray) external;

    function redeemCollateral(
        uint _USDLAmount,
        address _firstRedemptionHint,
        address _upperPartialRedemptionHint,
        address _lowerPartialRedemptionHint,
        uint _partialRedemptionHintNICR,
        uint _maxIterations,
        uint _maxFee
    ) external; 

    function updateStakeAndTotalStakes(address _borrower) external returns (uint);

    function updateVaultRewardSnapshots(address _borrower) external;

    function addVaultOwnerToArray(address _borrower) external returns (uint index);

    function applyPendingRewards(address _borrower) external;

    function getPendingPLSReward(address _borrower) external view returns (uint);

    function getPendingUSDLDebtReward(address _borrower) external view returns (uint);

     function hasPendingRewards(address _borrower) external view returns (bool);

    function getEntireDebtAndColl(address _borrower) external view returns (
        uint debt, 
        uint coll, 
        uint pendingUSDLDebtReward, 
        uint pendingPLSReward
    );

    function closeVault(address _borrower) external;

    function removeStake(address _borrower) external;

    function getRedemptionRate() external view returns (uint);
    function getRedemptionRateWithDecay() external view returns (uint);

    function getRedemptionFeeWithDecay(uint _PLSDrawn) external view returns (uint);

    function getBorrowingRate() external view returns (uint);
    function getBorrowingRateWithDecay() external view returns (uint);

    function getBorrowingFee(uint USDLDebt) external view returns (uint);
    function getBorrowingFeeWithDecay(uint _USDLDebt) external view returns (uint);

    function decayBaseRateFromBorrowing() external;

    function getVaultStatus(address _borrower) external view returns (uint);
    
    function getVaultStake(address _borrower) external view returns (uint);

    function getVaultDebt(address _borrower) external view returns (uint);

    function getVaultColl(address _borrower) external view returns (uint);

    function setVaultStatus(address _borrower, uint num) external;

    function increaseVaultColl(address _borrower, uint _collIncrease) external returns (uint);

    function decreaseVaultColl(address _borrower, uint _collDecrease) external returns (uint); 

    function increaseVaultDebt(address _borrower, uint _debtIncrease) external returns (uint); 

    function decreaseVaultDebt(address _borrower, uint _collDecrease) external returns (uint); 

    function getTCR(uint _price) external view returns (uint);

    function checkRecoveryMode(uint _price) external view returns (bool);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

// Common interface for the SortedVaults Doubly Linked List.
interface ISortedVaults {

    // --- Events ---
    
    event SortedVaultsAddressChanged(address _sortedDoublyLLAddress);
    event BorrowerOperationsAddressChanged(address _borrowerOperationsAddress);
    event NodeAdded(address _id, uint _NICR);
    event NodeRemoved(address _id);

    // --- Functions ---
    
    function setParams(uint256 _size, address _VaultManagerAddress, address _borrowerOperationsAddress) external;

    function insert(address _id, uint256 _ICR, address _prevId, address _nextId) external;

    function remove(address _id) external;

    function reInsert(address _id, uint256 _newICR, address _prevId, address _nextId) external;

    function contains(address _id) external view returns (bool);

    function isFull() external view returns (bool);

    function isEmpty() external view returns (bool);

    function getSize() external view returns (uint256);

    function getMaxSize() external view returns (uint256);

    function getFirst() external view returns (address);

    function getLast() external view returns (address);

    function getNext(address _id) external view returns (address);

    function getPrev(address _id) external view returns (address);

    function validInsertPosition(uint256 _ICR, address _prevId, address _nextId) external view returns (bool);

    function findInsertPosition(uint256 _ICR, address _prevId, address _nextId) external view returns (address, address);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

interface ILOANStaking {

    // --- Events --
    
    event LOANTokenAddressSet(address _loanTokenAddress);
    event USDLTokenAddressSet(address _usdlTokenAddress);
    event VaultManagerAddressSet(address _vaultManager);
    event BorrowerOperationsAddressSet(address _borrowerOperationsAddress);
    event ActivePoolAddressSet(address _activePoolAddress);

    event StakeChanged(address indexed staker, uint newStake);
    event StakingGainsWithdrawn(address indexed staker, uint USDLGain, uint PLSGain);
    event F_PLSUpdated(uint _F_PLS);
    event F_USDLUpdated(uint _F_USDL);
    event TotalLOANStakedUpdated(uint _totalLOANStaked);
    event PulseSent(address _account, uint _amount);
    event StakerSnapshotsUpdated(address _staker, uint _F_PLS, uint _F_USDL);

    // --- Functions ---

    function setAddresses
    (
        address _loanTokenAddress,
        address _usdlTokenAddress,
        address _vaultManagerAddress, 
        address _borrowerOperationsAddress,
        address _activePoolAddress
    )  external;

    function stake(uint _LOANamount) external;

    function unstake(uint _LOANamount) external;

    function increaseF_PLS(uint _PLSFee) external; 

    function increaseF_USDL(uint _LOANFee) external;  

    function getPendingPLSGain(address _user) external view returns (uint);

    function getPendingUSDLGain(address _user) external view returns (uint);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "./IPool.sol";


interface IDefaultPool is IPool {
    // --- Events ---
    event VaultManagerAddressChanged(address _newVaultManagerAddress);
    event DefaultPoolUSDLDebtUpdated(uint _USDLDebt);
    event DefaultPoolPLSBalanceUpdated(uint _PLS);

    // --- Functions ---
    function sendPLSToActivePool(uint _amount) external;
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "./IPool.sol";


interface IActivePool is IPool {
    // --- Events ---
    event BorrowerOperationsAddressChanged(address _newBorrowerOperationsAddress);
    event VaultManagerAddressChanged(address _newVaultManagerAddress);
    event ActivePoolUSDLDebtUpdated(uint _USDLDebt);
    event ActivePoolPLSBalanceUpdated(uint _PLS);

    // --- Functions ---
    function sendPLS(address _account, uint _amount) external;
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "../Dependencies/IERC20.sol";
import "../Dependencies/IERC2612.sol";

interface IUSDLToken is IERC20, IERC2612 { 
    
    // --- Events ---

    event VaultManagerAddressChanged(address _vaultManagerAddress);
    event StabilityPoolAddressChanged(address _newStabilityPoolAddress);
    event BorrowerOperationsAddressChanged(address _newBorrowerOperationsAddress);

    event USDLTokenBalanceUpdated(address _user, uint _amount);

    // --- Functions ---

    function mint(address _account, uint256 _amount) external;

    function burn(address _account, uint256 _amount) external;

    function sendToPool(address _sender,  address poolAddress, uint256 _amount) external;

    function returnFromPool(address poolAddress, address user, uint256 _amount ) external;
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

interface IPriceFeed {

    // --- Events ---
    event LastGoodPriceUpdated(uint _lastGoodPrice);
   
    // --- Function ---
    function fetchPrice() external returns (uint);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

import "../Dependencies/IERC20.sol";
import "../Dependencies/IERC2612.sol";

interface ILOANToken is IERC20, IERC2612 { 
   
    // --- Events ---
    
    event CommunityIssuanceAddressSet(address _communityIssuanceAddress);
    event LOANStakingAddressSet(address _loanStakingAddress);
    event LockupContractFactoryAddressSet(address _lockupContractFactoryAddress);

    // --- Functions ---
    
    function sendToLOANStaking(address _sender, uint256 _amount) external;

    function getDeploymentStartTime() external view returns (uint256);

    function getLpRewardsEntitlement() external view returns (uint256);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

/**
 * Based on OpenZeppelin's SafeMath:
 * https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/math/SafeMath.sol
 *
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot overflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction overflow");
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
     * overflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot overflow.
     *
     * _Available since v2.4.0._
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;

        return c;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on
     * overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }

        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");

        return c;
    }

    /**
     * @dev Returns the integer division of two unsigned integers. Reverts on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by zero");
    }

    /**
     * @dev Returns the integer division of two unsigned integers. Reverts with custom message on
     * division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     *
     * _Available since v2.4.0._
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        // Solidity only automatically asserts when dividing by 0
        require(b > 0, errorMessage);
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold

        return c;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return mod(a, b, "SafeMath: modulo by zero");
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts with custom message when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     *
     * _Available since v2.4.0._
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b != 0, errorMessage);
        return a % b;
    }
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

/**
 * @dev Interface of the ERC2612 standard as defined in the EIP.
 *
 * Adds the {permit} method, which can be used to change one's
 * {IERC20-allowance} without having to send a transaction, by signing a
 * message. This allows users to spend tokens without having to hold Pulse.
 *
 * See https://eips.ethereum.org/EIPS/eip-2612.
 * 
 * Code adapted from https://github.com/OpenZeppelin/openzeppelin-contracts/pull/2237/
 */
interface IERC2612 {
    /**
     * @dev Sets `amount` as the allowance of `spender` over `owner`'s tokens,
     * given `owner`'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(address owner, address spender, uint256 amount, 
                    uint256 deadline, uint8 v, bytes32 r, bytes32 s) external;
    
    /**
     * @dev Returns the current ERC2612 nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases `owner`'s nonce by one. This
     * prevents a signature from being used multiple times.
     *
     * `owner` can limit the time a Permit is valid for by setting `deadline` to 
     * a value in the near future. The deadline argument can be set to uint(-1) to 
     * create Permits that effectively never expire.
     */
    function nonces(address owner) external view returns (uint256);
    
    function version() external view returns (string memory);
    function permitTypeHash() external view returns (bytes32);
    function domainSeparator() external view returns (bytes32);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

/**
 * Based on OpenZeppelin's Ownable contract:
 * https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/access/Ownable.sol
 *
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
contract Ownable {
    address private _owner;

    event OwnershipTransferred(address indexed previousOwner, address indexed newOwner);

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    constructor () internal {
        _owner = msg.sender;
        emit OwnershipTransferred(address(0), msg.sender);
    }

    /**
     * @dev Returns the address of the current owner.
     */
    function owner() public view returns (address) {
        return _owner;
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        require(isOwner(), "Ownable: caller is not the owner");
        _;
    }

    /**
     * @dev Returns true if the caller is the current owner.
     */
    function isOwner() public view returns (bool) {
        return msg.sender == _owner;
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     *
     * NOTE: This function is not safe, as it doesn’t check owner is calling it.
     * Make sure you check it before calling it.
     */
    function _renounceOwnership() internal {
        emit OwnershipTransferred(_owner, address(0));
        _owner = address(0);
    }
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

/**
 * Based on the OpenZeppelin IER20 interface:
 * https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/token/ERC20/IERC20.sol
 *
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @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 `recipient`.
     *
     * Returns a boolean value indicating whether the operation succeeded.
     *
     * Emits a {Transfer} event.
     */
    function transfer(address recipient, 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);
    function increaseAllowance(address spender, uint256 addedValue) external returns (bool);
    function decreaseAllowance(address spender, uint256 subtractedValue) external returns (bool);

    /**
     * @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 `sender` to `recipient` 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 sender, address recipient, uint256 amount) external returns (bool);

    function name() external view returns (string memory);
    function symbol() external view returns (string memory);
    function decimals() external view returns (uint8);
    
    /**
     * @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);
}
// 2022 Liquid Loans
          

// SPDX-License-Identifier: MIT

pragma solidity 0.6.11;

// Common interface for the Pools.
interface IPool {
    
    // --- Events ---
    
    event PLSBalanceUpdated(uint _newBalance);
    event USDLBalanceUpdated(uint _newBalance);
    event ActivePoolAddressChanged(address _newActivePoolAddress);
    event DefaultPoolAddressChanged(address _newDefaultPoolAddress);
    event StabilityPoolAddressChanged(address _newStabilityPoolAddress);
    event PulseSent(address _to, uint _amount);

    // --- Functions ---
    
    function getPLS() external view returns (uint);

    function getUSDLDebt() external view returns (uint);

    function increaseUSDLDebt(uint _amount) external;

    function decreaseUSDLDebt(uint _amount) external;
}
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