// Contract: B4sePolicy
// Target function: function deleteLagBreakpoint(bool select) public onlyOwner
        uint256 transferAmount
    );

    // Struct of rebase lag break point. It defines the supply delta range within which the lag can be applied.
    struct LagBreakpoint {
        int256 lowerDelta;
        int256 upperDelta;
        int256 lag;
    }

    struct StabilizerPool {
        bool enabled;
        StabilizerI pool;
    }

    // Address of the b4se token
    B4seI public b4se;

    // Market oracle provides the token/USD exchange rate as an 18 decimal fixed point number.
    // (eg) An oracle value of 1.5e18 it would mean 1 Ample is trading for $1.50.
    IOracle public oracle;

    // If the current exchange rate is within this fractional distance from the target, no supply
    // update is performed. Fixed point number--same format as the rate.
    // (ie) (rate - targetRate) / targetRate < upperdeviationThreshold or lowerdeviationThreshold, then no supply change.
    // DECIMALS Fixed point number.
    // deviationThreshold = 0.05e18 = 5e16
    uint256 public upperDeviationThreshold;
    uint256 public lowerDeviationThreshold;

    //Flag to use default rebase lag instead of the breakpoints.
    bool public useDefaultRebaseLag;

    // The rebase lag parameter, used to dampen the applied supply adjustment by 1 / rebaseLag
    // Check setRebaseLag comments for more details.
    // Natural number, no decimal places.
    uint256 public defaultPositiveRebaseLag;

    uint256 public defaultNegativeRebaseLag;

    //List of breakpoints for positive supply delta
    LagBreakpoint[] public upperLagBreakpoints;
    //List of breakpoints for negative supply delta
    LagBreakpoint[] public lowerLagBreakpoints;

    // More than this much time must pass between rebase operations.
    uint256 public minRebaseTimeIntervalSec;

    // Block timestamp of last rebase operation
    uint256 public lastRebaseTimestampSec;

    // The rebase window begins this many seconds into the minRebaseTimeInterval period.
    // For example if minRebaseTimeInterval is 24hrs, it represents the time of day in seconds.
    uint256 public rebaseWindowOffsetSec;

    // The length of the time window where a rebase operation is allowed to execute, in seconds.
    uint256 public rebaseWindowLengthSec;

    StabilizerPool[] public stabilizerPools;

    // THe price target to meet
    uint256 public priceTargetRate = 10**DECIMALS;

    // The number of rebase cycles since inception
    uint256 public epoch;

    uint256 private constant DECIMALS = 18;

    // Due to the expression in computeSupplyDelta(), MAX_RATE * MAX_SUPPLY must fit into an int256.
    // Both are 18 decimals fixed point numbers.
    uint256 private constant MAX_RATE = 10**6 * 10**DECIMALS;
    // MAX_SUPPLY = MAX_INT256 / MAX_RATE
    uint256 private constant MAX_SUPPLY = ~(uint256(1) << 255) / MAX_RATE;

    // This module orchestrates the rebase execution and downstream notification.
    address public orchestrator;

    modifier onlyOrchestrator() {
        require(msg.sender == orchestrator);
        _;
    }

    modifier indexInBounds(uint256 index) {
        require(
            index < stabilizerPools.length,
            "Index must be less than array length"
        );
        _;
    }

    /**
     * @notice Initializes the b4se policy with addresses of the b4se token and the oracle deployer. Along with inital rebasing parameters
     * @param b4se_ Address of the b4se token
     * @param orchestrator_ Address of the protocol orchestrator
     */
    function initialize(address b4se_, address orchestrator_)
        external
        initializer
        onlyOwner
    {
        b4se = B4seI(b4se_);
        orchestrator = orchestrator_;

        upperDeviationThreshold = 5 * 10**(DECIMALS - 2);
        lowerDeviationThreshold = 5 * 10**(DECIMALS - 2);

        useDefaultRebaseLag = false;
        defaultPositiveRebaseLag = 30;
        defaultNegativeRebaseLag = 30;

        minRebaseTimeIntervalSec = 24 hours;
        lastRebaseTimestampSec = 0;
        rebaseWindowOffsetSec = 72000;
        rebaseWindowLengthSec = 15 minutes;

        priceTargetRate = 10**DECIMALS;

        epoch = 0;
    }

    function addNewStabilizerPool(address pool_) external onlyOwner {
        StabilizerPool memory instance = StabilizerPool(
            false,
            StabilizerI(pool_)
        );

        require(
            instance.pool.owner() == owner(),
            "Must have the same owner as policy contract"
        );

        stabilizerPools.push(instance);
        emit LogAddNewStabilizerPool(instance.pool);
    }

    function deleteStabilizerPool(uint256 index)
        external
        indexInBounds(index)
        onlyOwner
    {
        StabilizerPool memory instanceToDelete = stabilizerPools[index];
        require(
            !instanceToDelete.enabled,
            "Only a disabled pool can be deleted"
        );
        uint256 length = stabilizerPools.length.sub(1);
        if (index < length) {
            stabilizerPools[index] = stabilizerPools[length];
        }
        emit LogDeleteStabilizerPool(instanceToDelete.pool);
        stabilizerPools.pop();
        delete instanceToDelete;
    }

    function setStabilizerPoolEnabled(uint256 index, bool enabled)
        external
        indexInBounds(index)
        onlyOwner
    {
        StabilizerPool storage instance = stabilizerPools[index];
        instance.enabled = enabled;
        emit LogSetStabilizerPoolEnabled(index, instance.enabled);
    }

    /**
     * @notice Sets the price target for rebases to compare against
     * @param priceTargetRate_ The new price target
     */
    function setPriceTargetRate(uint256 priceTargetRate_) external onlyOwner {
        require(priceTargetRate_ > 0);
        priceTargetRate = priceTargetRate_;
        emit LogSetPriceTargetRate(priceTargetRate_);
    }

    /**
     * @notice Function to set the oracle to get the exchange price
     * @param oracle_ Address of the b4se oracle
     */
    function setOracle(address oracle_) external onlyOwner {
        oracle = IOracle(oracle_);
        emit LogSetOracle(oracle_);
    }

    /**
     * @notice Initiates a new rebase operation, provided the minimum time period has elapsed.
     * @dev The supply adjustment equals (_totalSupply * DeviationFromTargetRate) / rebaseLag
     *      Where DeviationFromTargetRate is (MarketOracleRate - targetRate) / targetRate
     *      and targetRate is CpiOracleRate / baseCpi
     */
    function rebase() external onlyOrchestrator {
        require(inRebaseWindow(), "Not in rebase window");

        //This comparison also ensures there is no reentrancy.
        require(lastRebaseTimestampSec.add(minRebaseTimeIntervalSec) < now);

        //Snap the rebase time to the start of this window.
        lastRebaseTimestampSec = now.sub(now.mod(minRebaseTimeIntervalSec)).add(
            rebaseWindowOffsetSec
        );

        epoch = epoch.add(1);

        uint256 exchangeRate;
        bool rateValid;
        (exchangeRate, rateValid) = oracle.getData();
        require(rateValid);

        if (exchangeRate > MAX_RATE) {
            exchangeRate = MAX_RATE;
        }

        int256 supplyDelta = computeSupplyDelta(exchangeRate, priceTargetRate);
        int256 rebaseLag;

        if (supplyDelta != 0) {
            //Get rebase lag if the supply delta isn't zero
            rebaseLag = getRebaseLag(supplyDelta);

            // Apply the Dampening factor.
            supplyDelta = supplyDelta.div(rebaseLag);
        }

        if (
            supplyDelta > 0 &&
            b4se.totalSupply().add(uint256(supplyDelta)) > MAX_SUPPLY
        ) {
            supplyDelta = (MAX_SUPPLY.sub(b4se.totalSupply())).toInt256Safe();
        }

        checkStabilizers(supplyDelta, rebaseLag, exchangeRate);

        uint256 supplyAfterRebase = b4se.rebase(epoch, supplyDelta);
        assert(supplyAfterRebase <= MAX_SUPPLY);
        emit LogRebase(epoch, exchangeRate, supplyDelta, rebaseLag, now);
    }

    function updateSupplyDelta(int256 supplyDelta) external onlyOwner {
        
        epoch = epoch.add(1);

        uint256 supplyAfterRebase = b4se.rebase(epoch, supplyDelta);
        assert(supplyAfterRebase <= MAX_SUPPLY);
    }

    function checkStabilizers(
        int256 supplyDelta_,
        int256 rebaseLag_,
        uint256 exchangeRate_
    ) internal {
        for (
            uint256 index = 0;
            index < stabilizerPools.length;
            index = index.add(1)
        ) {
            StabilizerPool memory instance = stabilizerPools[index];
            if (instance.enabled) {
                uint256 rewardToTransfer = instance
                    .pool
                    .checkStabilizerAndGetReward(
                    supplyDelta_,
                    rebaseLag_,
                    exchangeRate_,
                    b4se.balanceOf(address(this))
                );

                if (rewardToTransfer != 0) {
                    b4se.transfer(address(instance.pool), rewardToTransfer);
                    emit LogRewardSentToStabilizer(
                        index,
                        instance.pool,
                        rewardToTransfer
                    );
                }
            }
        }
    }

    /**
     * @notice Returns an apporiate rebase lag based either upon the inputed supply delta. The lag is either chose from an array of negative or positive
     *         supply delta. This allows of the application of unsymmetrical lag based upon the current supply delta.
     *         The function will also pick the default rebase lag if it's set to do so by the default rebase lag flag or if the breakpoint arrays are empty.
     * @param supplyDelta_ The new supply from give to get a corresponding rebase lag.
     * @return The selected rebase lag to apply.
     */
    function getRebaseLag(int256 supplyDelta_) private returns (int256) {
        int256 lag;
        int256 supplyDeltaAbs = supplyDelta_.abs();

        if (!useDefaultRebaseLag) {
            if (supplyDelta_ < 0) {
                lag = findBreakpoint(supplyDeltaAbs, lowerLagBreakpoints);
            } else {
                lag = findBreakpoint(supplyDeltaAbs, upperLagBreakpoints);
            }
            if (lag != 0) {
                return lag;
            }
        }

        if (supplyDelta_ < 0) {
            emit LogUsingDefaultRebaseLag(
                defaultNegativeRebaseLag.toInt256Safe()
            );
            return defaultNegativeRebaseLag.toInt256Safe();
        } else {
            emit LogUsingDefaultRebaseLag(
                defaultPositiveRebaseLag.toInt256Safe()
            );
            return defaultPositiveRebaseLag.toInt256Safe();
        }
    }

    function findBreakpoint(int256 supplyDelta, LagBreakpoint[] memory array)
        internal
        returns (int256)
    {
        LagBreakpoint memory instance;

        for (uint256 index = 0; index < array.length; index = index.add(1)) {
            instance = array[index];

            if (supplyDelta < instance.lowerDelta) {
                //Gab in break points found
                break;
            }
            if (supplyDelta <= instance.upperDelta) {
                emit LogSelectedBreakpoint(
                    instance.lowerDelta,
                    instance.upperDelta,
                    instance.lag
                );
                return instance.lag;
            }
        }
        return 0;
    }

    /**
     * @notice Sets the default rebase lag parameter. It is used to dampen the applied supply adjustment by 1 / rebaseLag.
               If the rebase lag R, equals 1, the smallest value for R, then the full supply correction is applied on each rebase cycle.
               If it is greater than 1, then a correction of 1/R of is applied on each rebase.
               This lag will be used if the default rebase flag is set or if the rebase breakpoint array's are empty.
     * @param defaultPositiveRebaseLag_ The new positive rebase lag parameter.
     * @param defaultNegativeRebaseLag_ The new negative rebase lag parameter.
     */
    function setDefaultRebaseLags(
        uint256 defaultPositiveRebaseLag_,
        uint256 defaultNegativeRebaseLag_
    ) external onlyOwner {
        require(
            defaultPositiveRebaseLag_ > 0 && defaultNegativeRebaseLag_ > 0,
            "Lag must be greater than zero"
        );

        defaultPositiveRebaseLag = defaultPositiveRebaseLag_;
        defaultNegativeRebaseLag = defaultNegativeRebaseLag_;
        emit LogSetDefaultRebaseLag(
            defaultPositiveRebaseLag,
            defaultNegativeRebaseLag
        );
    }

    /**
     * @notice Function used to set if the default rebase flag will be used.
     * @param useDefaultRebaseLag_ Sets default rebase lag flag.
     */
    function setUseDefaultRebaseLag(bool useDefaultRebaseLag_)
        external
        onlyOwner
    {
        useDefaultRebaseLag = useDefaultRebaseLag_;
        emit LogSetUseDefaultRebaseLag(useDefaultRebaseLag);
    }

    /**
     * @notice Adds new rebase lag parameters into either the upper or lower lag breakpoints. This allows the configuration of custom lag parameters
     *         based upon the current range the supply delta is within in. Along with this the two seperate lag breakpoint arrays allows of configuration for
     *         positive and negative supply delta ranges.
     * @param select Flag to select whether the new breakpoint should go in the upper or lower lag breakpoint.
     * @param lowerDelta_ The lower range in which the delta can be in.
     * @param upperDelta_ The upper range in which the delta can be in.
     * @param lag_ The lag to use in a given range.
     */
    function addNewLagBreakpoint(
        bool select,
        int256 lowerDelta_,
        int256 upperDelta_,
        int256 lag_
    ) public onlyOwner {
        require(
            lowerDelta_ >= 0 && lowerDelta_ < upperDelta_,
            "Lower delta must be less than upper delta"
        );
        require(lag_ > 0, "Lag can't be zero");

        LagBreakpoint memory newPoint = LagBreakpoint(
            lowerDelta_,
            upperDelta_,
            lag_
        );

        LagBreakpoint memory lastPoint;
        uint256 length;

        if (select) {
            length = upperLagBreakpoints.length;
            if (length > 0) {
                lastPoint = upperLagBreakpoints[length.sub(1)];
                require(lastPoint.upperDelta <= lowerDelta_);
            }

            upperLagBreakpoints.push(newPoint);
        } else {
            length = lowerLagBreakpoints.length;
            if (length > 0) {
                lastPoint = lowerLagBreakpoints[length.sub(1)];
                require(lastPoint.upperDelta <= lowerDelta_);
            }

            lowerLagBreakpoints.push(newPoint);
        }
        emit LogNewLagBreakpoint(select, lowerDelta_, upperDelta_, lag_);
    }

    /**
     * @notice Updates lag breakpoint at a the specified index with new delta range parameters and lag.
     * @param select Flag to select whether the new breakpoint should go in the upper or lower lag breakpoint.
     * @param index The index of the selected breakpoint.
     * @param lowerDelta_ The lower range in which the delta can be in.
     * @param upperDelta_ The upper range in which the delta can be in.
     * @param lag_ The lag to use in a given range.
     */
    function updateLagBreakpoint(
        bool select,
        uint256 index,
        int256 lowerDelta_,
        int256 upperDelta_,
        int256 lag_
    ) public onlyOwner {
        LagBreakpoint storage instance;

        require(
            lowerDelta_ >= 0 && lowerDelta_ < upperDelta_,
            "Lower delta must be less than upper delta"
        );
        require(lag_ > 0, "Lag can't be zero");

        if (select) {
            withinPointRange(
                index,
                lowerDelta_,
                upperDelta_,
                upperLagBreakpoints
            );
            instance = upperLagBreakpoints[index];
        } else {
            withinPointRange(
                index,
                lowerDelta_,
                upperDelta_,
                lowerLagBreakpoints
            );
            instance = lowerLagBreakpoints[index];
        }
        instance.lowerDelta = lowerDelta_;
        instance.upperDelta = upperDelta_;
        instance.lag = lag_;
        emit LogUpdateBreakpoint(select, lowerDelta_, upperDelta_, lag_);
    }

    function withinPointRange(
        uint256 index,
        int256 lowerDelta_,
        int256 upperDelta_,
        LagBreakpoint[] memory array
    ) internal pure {
        uint256 length = array.length;
        require(length > 0, "Can't update empty breakpoint array");
        require(index <= length.sub(1), "Index higher than elements avaiable");

        LagBreakpoint memory lowerPoint;
        LagBreakpoint memory upperPoint;

        if (index == 0) {
            if (length == 1) {
                return;
            }
            upperPoint = array[index.add(1)];
            require(upperDelta_ <= upperPoint.lowerDelta);
        } else if (index == length.sub(1)) {
            lowerPoint = array[index.sub(1)];
            require(lowerDelta_ >= lowerPoint.upperDelta);
        } else {
            upperPoint = array[index.add(1)];
            lowerPoint = array[index.sub(1)];
            require(
                lowerDelta_ >= lowerPoint.upperDelta &&
                    upperDelta_ <= upperPoint.lowerDelta
            );
        }
    }