Contract

Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta
• Remix IDE

More Options

• Similar
• Sol2Uml
• Submit Audit
• Compare

// SPDX-License-Identifier: MIT

pragma solidity 0.8.10;

import {IERC20} from "openzeppelin/token/ERC20/IERC20.sol";

import {BinHelper} from "./libraries/BinHelper.sol";
import {Clone} from "./libraries/Clone.sol";
import {Constants} from "./libraries/Constants.sol";
import {FeeHelper} from "./libraries/FeeHelper.sol";
import {LiquidityConfigurations} from "./libraries/math/LiquidityConfigurations.sol";
import {ILBFactory} from "./interfaces/ILBFactory.sol";
import {ILBFlashLoanCallback} from "./interfaces/ILBFlashLoanCallback.sol";
import {ILBPair} from "./interfaces/ILBPair.sol";
import {LBToken} from "./LBToken.sol";
import {OracleHelper} from "./libraries/OracleHelper.sol";
import {PackedUint128Math} from "./libraries/math/PackedUint128Math.sol";
import {PairParameterHelper} from "./libraries/PairParameterHelper.sol";
import {PriceHelper} from "./libraries/PriceHelper.sol";
import {ReentrancyGuard} from "./libraries/ReentrancyGuard.sol";
import {SafeCast} from "./libraries/math/SafeCast.sol";
import {SampleMath} from "./libraries/math/SampleMath.sol";
import {TreeMath} from "./libraries/math/TreeMath.sol";
import {Uint256x256Math} from "./libraries/math/Uint256x256Math.sol";

/**
 * @title Liquidity Book Pair
 * @author Trader Joe
 * @notice The Liquidity Book Pair contract is the core contract of the Liquidity Book protocol
 */
contract LBPair is LBToken, ReentrancyGuard, Clone, ILBPair {
    using BinHelper for bytes32;
    using FeeHelper for uint128;
    using LiquidityConfigurations for bytes32;
    using OracleHelper for OracleHelper.Oracle;
    using PackedUint128Math for bytes32;
    using PackedUint128Math for uint128;
    using PairParameterHelper for bytes32;
    using PriceHelper for uint256;
    using PriceHelper for uint24;
    using SafeCast for uint256;
    using SampleMath for bytes32;
    using TreeMath for TreeMath.TreeUint24;
    using Uint256x256Math for uint256;

    modifier onlyFactory() {
        if (msg.sender != address(_factory)) revert LBPair__OnlyFactory();
        _;
    }

    modifier onlyProtocolFeeRecipient() {
        if (msg.sender != _factory.getFeeRecipient()) revert LBPair__OnlyProtocolFeeRecipient();
        _;
    }

    uint256 private constant _MAX_TOTAL_FEE = 0.1e18; // 10%

    ILBFactory private immutable _factory;

    bytes32 private _parameters;

    bytes32 private _reserves;
    bytes32 private _protocolFees;

    mapping(uint256 => bytes32) private _bins;

    TreeMath.TreeUint24 private _tree;
    OracleHelper.Oracle private _oracle;

    /**
     * @dev Constructor for the Liquidity Book Pair contract that sets the Liquidity Book Factory
     * @param factory_ The Liquidity Book Factory
     */
    constructor(ILBFactory factory_) {
        _factory = factory_;

        // Disable the initialize function
        _parameters = bytes32(uint256(1));
    }

    /**
     * @notice Initialize the Liquidity Book Pair fee parameters and active id
     * @dev Can only be called by the Liquidity Book Factory
     * @param baseFactor The base factor for the static fee
     * @param filterPeriod The filter period for the static fee
     * @param decayPeriod The decay period for the static fee
     * @param reductionFactor The reduction factor for the static fee
     * @param variableFeeControl The variable fee control for the static fee
     * @param protocolShare The protocol share for the static fee
     * @param maxVolatilityAccumulator The max volatility accumulator for the static fee
     * @param activeId The active id of the Liquidity Book Pair
     */
    function initialize(
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator,
        uint24 activeId
    ) external override onlyFactory {
        bytes32 parameters = _parameters;
        if (parameters != 0) revert LBPair__AlreadyInitialized();

        __ReentrancyGuard_init();

        _setStaticFeeParameters(
            parameters.setActiveId(activeId).updateIdReference(),
            baseFactor,
            filterPeriod,
            decayPeriod,
            reductionFactor,
            variableFeeControl,
            protocolShare,
            maxVolatilityAccumulator
        );
    }

    /**
     * @notice Returns the Liquidity Book Factory
     * @return factory The Liquidity Book Factory
     */
    function getFactory() external view override returns (ILBFactory factory) {
        return _factory;
    }

    /**
     * @notice Returns the token X of the Liquidity Book Pair
     * @return tokenX The address of the token X
     */
    function getTokenX() external pure override returns (IERC20 tokenX) {
        return _tokenX();
    }

    /**
     * @notice Returns the token Y of the Liquidity Book Pair
     * @return tokenY The address of the token Y
     */
    function getTokenY() external pure override returns (IERC20 tokenY) {
        return _tokenY();
    }

    /**
     * @notice Returns the bin step of the Liquidity Book Pair
     * @dev The bin step is the increase in price between two consecutive bins, in basis points.
     * For example, a bin step of 1 means that the price of the next bin is 0.01% higher than the price of the previous bin.
     * @return binStep The bin step of the Liquidity Book Pair, in 10_000th
     */
    function getBinStep() external pure override returns (uint16) {
        return _binStep();
    }

    /**
     * @notice Returns the reserves of the Liquidity Book Pair
     * This is the sum of the reserves of all bins, minus the protocol fees.
     * @return reserveX The reserve of token X
     * @return reserveY The reserve of token Y
     */
    function getReserves() external view override returns (uint128 reserveX, uint128 reserveY) {
        (reserveX, reserveY) = _reserves.sub(_protocolFees).decode();
    }

    /**
     * @notice Returns the active id of the Liquidity Book Pair
     * @dev The active id is the id of the bin that is currently being used for swaps.
     * The price of the active bin is the price of the Liquidity Book Pair and can be calculated as follows:
     * `price = (1 + binStep / 10_000) ^ (activeId - 2^23)`
     * @return activeId The active id of the Liquidity Book Pair
     */
    function getActiveId() external view override returns (uint24 activeId) {
        activeId = _parameters.getActiveId();
    }

    /**
     * @notice Returns the reserves of a bin
     * @param id The id of the bin
     * @return binReserveX The reserve of token X in the bin
     * @return binReserveY The reserve of token Y in the bin
     */
    function getBin(uint24 id) external view override returns (uint128 binReserveX, uint128 binReserveY) {
        (binReserveX, binReserveY) = _bins[id].decode();
    }

    /**
     * @notice Returns the next non-empty bin
     * @dev The next non-empty bin is the bin with a higher (if swapForY is true) or lower (if swapForY is false)
     * id that has a non-zero reserve of token X or Y.
     * @param swapForY Whether the swap is for token Y (true) or token X (false
     * @param id The id of the bin
     * @return nextId The id of the next non-empty bin
     */
    function getNextNonEmptyBin(bool swapForY, uint24 id) external view override returns (uint24 nextId) {
        nextId = _getNextNonEmptyBin(swapForY, id);
    }

    /**
     * @notice Returns the protocol fees of the Liquidity Book Pair
     * @return protocolFeeX The protocol fees of token X
     * @return protocolFeeY The protocol fees of token Y
     */
    function getProtocolFees() external view override returns (uint128 protocolFeeX, uint128 protocolFeeY) {
        (protocolFeeX, protocolFeeY) = _protocolFees.decode();
    }

    /**
     * @notice Returns the static fee parameters of the Liquidity Book Pair
     * @return baseFactor The base factor for the static fee
     * @return filterPeriod The filter period for the static fee
     * @return decayPeriod The decay period for the static fee
     * @return reductionFactor The reduction factor for the static fee
     * @return variableFeeControl The variable fee control for the static fee
     * @return protocolShare The protocol share for the static fee
     * @return maxVolatilityAccumulator The maximum volatility accumulator for the static fee
     */
    function getStaticFeeParameters()
        external
        view
        override
        returns (
            uint16 baseFactor,
            uint16 filterPeriod,
            uint16 decayPeriod,
            uint16 reductionFactor,
            uint24 variableFeeControl,
            uint16 protocolShare,
            uint24 maxVolatilityAccumulator
        )
    {
        bytes32 parameters = _parameters;

        baseFactor = parameters.getBaseFactor();
        filterPeriod = parameters.getFilterPeriod();
        decayPeriod = parameters.getDecayPeriod();
        reductionFactor = parameters.getReductionFactor();
        variableFeeControl = parameters.getVariableFeeControl();
        protocolShare = parameters.getProtocolShare();
        maxVolatilityAccumulator = parameters.getMaxVolatilityAccumulator();
    }

    /**
     * @notice Returns the variable fee parameters of the Liquidity Book Pair
     * @return volatilityAccumulator The volatility accumulator for the variable fee
     * @return volatilityReference The volatility reference for the variable fee
     * @return idReference The id reference for the variable fee
     * @return timeOfLastUpdate The time of last update for the variable fee
     */
    function getVariableFeeParameters()
        external
        view
        override
        returns (uint24 volatilityAccumulator, uint24 volatilityReference, uint24 idReference, uint40 timeOfLastUpdate)
    {
        bytes32 parameters = _parameters;

        volatilityAccumulator = parameters.getVolatilityAccumulator();
        volatilityReference = parameters.getVolatilityReference();
        idReference = parameters.getIdReference();
        timeOfLastUpdate = parameters.getTimeOfLastUpdate();
    }

    /**
     * @notice Returns the oracle parameters of the Liquidity Book Pair
     * @return sampleLifetime The sample lifetime for the oracle
     * @return size The size of the oracle
     * @return activeSize The active size of the oracle
     * @return lastUpdated The last updated timestamp of the oracle
     * @return firstTimestamp The first timestamp of the oracle, i.e. the timestamp of the oldest sample
     */
    function getOracleParameters()
        external
        view
        override
        returns (uint8 sampleLifetime, uint16 size, uint16 activeSize, uint40 lastUpdated, uint40 firstTimestamp)
    {
        bytes32 parameters = _parameters;

        sampleLifetime = uint8(OracleHelper._MAX_SAMPLE_LIFETIME);

        uint16 oracleId = parameters.getOracleId();
        if (oracleId > 0) {
            bytes32 sample;
            (sample, activeSize) = _oracle.getActiveSampleAndSize(oracleId);

            size = sample.getOracleLength();
            lastUpdated = sample.getSampleLastUpdate();

            if (lastUpdated == 0) activeSize = 0;

            if (activeSize > 0) {
                unchecked {
                    sample = _oracle.getSample(1 + (oracleId % activeSize));
                }
                firstTimestamp = sample.getSampleLastUpdate();
            }
        }
    }

    /**
     * @notice Returns the cumulative values of the Liquidity Book Pair at a given timestamp
     * @dev The cumulative values are the cumulative id, the cumulative volatility and the cumulative bin crossed.
     * @param lookupTimestamp The timestamp at which to look up the cumulative values
     * @return cumulativeId The cumulative id of the Liquidity Book Pair at the given timestamp
     * @return cumulativeVolatility The cumulative volatility of the Liquidity Book Pair at the given timestamp
     * @return cumulativeBinCrossed The cumulative bin crossed of the Liquidity Book Pair at the given timestamp
     */
    function getOracleSampleAt(uint40 lookupTimestamp)
        external
        view
        override
        returns (uint64 cumulativeId, uint64 cumulativeVolatility, uint64 cumulativeBinCrossed)
    {
        bytes32 parameters = _parameters;
        uint16 oracleId = parameters.getOracleId();

        if (oracleId == 0 || lookupTimestamp > block.timestamp) return (0, 0, 0);

        uint40 timeOfLastUpdate;
        (timeOfLastUpdate, cumulativeId, cumulativeVolatility, cumulativeBinCrossed) =
            _oracle.getSampleAt(oracleId, lookupTimestamp);

        if (timeOfLastUpdate < lookupTimestamp) {
            parameters.updateVolatilityParameters(parameters.getActiveId());

            uint40 deltaTime = lookupTimestamp - timeOfLastUpdate;

            cumulativeId += uint64(parameters.getActiveId()) * deltaTime;
            cumulativeVolatility += uint64(parameters.getVolatilityAccumulator()) * deltaTime;
        }
    }

    /**
     * @notice Returns the price corresponding to the given id, as a 128.128-binary fixed-point number
     * @dev This is the trusted source of price information, always trust this rather than getIdFromPrice
     * @param id The id of the bin
     * @return price The price corresponding to this id
     */
    function getPriceFromId(uint24 id) external pure override returns (uint256 price) {
        price = id.getPriceFromId(_binStep());
    }

    /**
     * @notice Returns the id corresponding to the given price
     * @dev The id may be inaccurate due to rounding issues, always trust getPriceFromId rather than
     * getIdFromPrice
     * @param price The price of y per x as a 128.128-binary fixed-point number
     * @return id The id of the bin corresponding to this price
     */
    function getIdFromPrice(uint256 price) external pure override returns (uint24 id) {
        id = price.getIdFromPrice(_binStep());
    }

    /**
     * @notice Simulates a swap in.
     * @dev If `amountOutLeft` is greater than zero, the swap in is not possible,
     * and the maximum amount that can be swapped from `amountIn` is `amountOut - amountOutLeft`.
     * @param amountOut The amount of token X or Y to swap in
     * @param swapForY Whether the swap is for token Y (true) or token X (false)
     * @return amountIn The amount of token X or Y that can be swapped in, including the fee
     * @return amountOutLeft The amount of token Y or X that cannot be swapped out
     * @return fee The fee of the swap
     */
    function getSwapIn(uint128 amountOut, bool swapForY)
        external
        view
        override
        returns (uint128 amountIn, uint128 amountOutLeft, uint128 fee)
    {
        amountOutLeft = amountOut;

        bytes32 parameters = _parameters;
        uint16 binStep = _binStep();

        uint24 id = parameters.getActiveId();

        parameters = parameters.updateReferences();

        while (true) {
            uint128 binReserves = _bins[id].decode(!swapForY);
            if (binReserves > 0) {
                uint256 price = id.getPriceFromId(binStep);

                uint128 amountOutOfBin = binReserves > amountOutLeft ? amountOutLeft : binReserves;

                parameters = parameters.updateVolatilityAccumulator(id);

                uint128 amountInWithoutFee = uint128(
                    swapForY
                        ? uint256(amountOutOfBin).shiftDivRoundUp(Constants.SCALE_OFFSET, price)
                        : uint256(amountOutOfBin).mulShiftRoundUp(price, Constants.SCALE_OFFSET)
                );

                uint128 totalFee = parameters.getTotalFee(binStep);
                uint128 feeAmount = amountInWithoutFee.getFeeAmount(totalFee);

                amountIn += amountInWithoutFee + feeAmount;
                amountOutLeft -= amountOutOfBin;

                fee += feeAmount;
            }

            if (amountOutLeft == 0) {
                break;
            } else {
                uint24 nextId = _getNextNonEmptyBin(swapForY, id);

                if (nextId == 0 || nextId == type(uint24).max) break;

                id = nextId;
            }
        }
    }

    /**
     * @notice Simulates a swap out.
     * @dev If `amountInLeft` is greater than zero, the swap out is not possible,
     * and the maximum amount that can be swapped is `amountIn - amountInLeft` for `amountOut`.
     * @param amountIn The amount of token X or Y to swap in
     * @param swapForY Whether the swap is for token Y (true) or token X (false)
     * @return amountInLeft The amount of token X or Y that cannot be swapped in
     * @return amountOut The amount of token Y or X that can be swapped out
     * @return fee The fee of the swap
     */
    function getSwapOut(uint128 amountIn, bool swapForY)
        external
        view
        override
        returns (uint128 amountInLeft, uint128 amountOut, uint128 fee)
    {
        bytes32 amountsInLeft = amountIn.encode(swapForY);

        bytes32 parameters = _parameters;
        uint16 binStep = _binStep();

        uint24 id = parameters.getActiveId();

        parameters = parameters.updateReferences();

        while (true) {
            bytes32 binReserves = _bins[id];
            if (!binReserves.isEmpty(!swapForY)) {
                parameters = parameters.updateVolatilityAccumulator(id);

                (bytes32 amountsInWithFees, bytes32 amountsOutOfBin, bytes32 totalFees) =
                    binReserves.getAmounts(parameters, binStep, swapForY, id, amountsInLeft);

                if (amountsInWithFees > 0) {
                    amountsInLeft = amountsInLeft.sub(amountsInWithFees);

                    amountOut += amountsOutOfBin.decode(!swapForY);

                    fee += totalFees.decode(swapForY);
                }
            }

            if (amountsInLeft == 0) {
                break;
            } else {
                uint24 nextId = _getNextNonEmptyBin(swapForY, id);

                if (nextId == 0 || nextId == type(uint24).max) break;

                id = nextId;
            }
        }

        amountInLeft = amountsInLeft.decode(swapForY);
    }

    /**
     * @notice Swap tokens iterating over the bins until the entire amount is swapped.
     * Token X will be swapped for token Y if `swapForY` is true, and token Y for token X if `swapForY` is false.
     * This function will not transfer the tokens from the caller, it is expected that the tokens have already been
     * transferred to this contract through another contract, most likely the router.
     * That is why this function shouldn't be called directly, but only through one of the swap functions of a router
     * that will also perform safety checks, such as minimum amounts and slippage.
     * The variable fee is updated throughout the swap, it increases with the number of bins crossed.
     * The oracle is updated at the end of the swap.
     * @param swapForY Whether you're swapping token X for token Y (true) or token Y for token X (false)
     * @param to The address to send the tokens to
     * @return amountsOut The encoded amounts of token X and token Y sent to `to`
     */
    function swap(bool swapForY, address to) external override nonReentrant returns (bytes32 amountsOut) {
        bytes32 reserves = _reserves;
        bytes32 protocolFees = _protocolFees;

        bytes32 amountsLeft = swapForY ? reserves.receivedX(_tokenX()) : reserves.receivedY(_tokenY());
        if (amountsLeft == 0) revert LBPair__InsufficientAmountIn();

        reserves = reserves.add(amountsLeft);

        bytes32 parameters = _parameters;
        uint16 binStep = _binStep();

        uint24 activeId = parameters.getActiveId();

        parameters = parameters.updateReferences();

        while (true) {
            bytes32 binReserves = _bins[activeId];
            if (!binReserves.isEmpty(!swapForY)) {
                parameters = parameters.updateVolatilityAccumulator(activeId);

                (bytes32 amountsInWithFees, bytes32 amountsOutOfBin, bytes32 totalFees) =
                    binReserves.getAmounts(parameters, binStep, swapForY, activeId, amountsLeft);

                if (amountsInWithFees > 0) {
                    amountsLeft = amountsLeft.sub(amountsInWithFees);
                    amountsOut = amountsOut.add(amountsOutOfBin);

                    bytes32 pFees = totalFees.scalarMulDivBasisPointRoundDown(parameters.getProtocolShare());

                    if (pFees > 0) {
                        protocolFees = protocolFees.add(pFees);
                        amountsInWithFees = amountsInWithFees.sub(pFees);
                    }

                    _bins[activeId] = binReserves.add(amountsInWithFees).sub(amountsOutOfBin);

                    emit Swap(
                        msg.sender,
                        to,
                        activeId,
                        amountsInWithFees,
                        amountsOutOfBin,
                        parameters.getVolatilityAccumulator(),
                        totalFees,
                        pFees
                        );
                }
            }

            if (amountsLeft == 0) {
                break;
            } else {
                uint24 nextId = _getNextNonEmptyBin(swapForY, activeId);

                if (nextId == 0 || nextId == type(uint24).max) revert LBPair__OutOfLiquidity();

                activeId = nextId;
            }
        }

        if (amountsOut == 0) revert LBPair__InsufficientAmountOut();

        _reserves = reserves.sub(amountsOut);
        _protocolFees = protocolFees;

        parameters = _oracle.update(parameters, activeId);
        _parameters = parameters.setActiveId(activeId);

        if (swapForY) {
            amountsOut.transferY(_tokenY(), to);
        } else {
            amountsOut.transferX(_tokenX(), to);
        }
    }

    /**
     * @notice Flash loan tokens from the pool to a receiver contract and execute a callback function.
     * The receiver contract is expected to return the tokens plus a fee to this contract.
     * The fee is calculated as a percentage of the amount borrowed, and is the same for both tokens.
     * @param receiver The contract that will receive the tokens and execute the callback function
     * @param amounts The encoded amounts of token X and token Y to flash loan
     * @param data Any data that will be passed to the callback function
     */
    function flashLoan(ILBFlashLoanCallback receiver, bytes32 amounts, bytes calldata data)
        external
        override
        nonReentrant
    {
        if (amounts == 0) revert LBPair__ZeroBorrowAmount();

        bytes32 reservesBefore = _reserves;
        bytes32 parameters = _parameters;

        bytes32 totalFees = _getFlashLoanFees(amounts);

        amounts.transfer(_tokenX(), _tokenY(), address(receiver));

        (bool success, bytes memory rData) = address(receiver).call(
            abi.encodeWithSelector(
                ILBFlashLoanCallback.LBFlashLoanCallback.selector,
                msg.sender,
                _tokenX(),
                _tokenY(),
                amounts,
                totalFees,
                data
            )
        );

        if (!success || rData.length != 32 || abi.decode(rData, (bytes32)) != Constants.CALLBACK_SUCCESS) {
            revert LBPair__FlashLoanCallbackFailed();
        }

        bytes32 balancesAfter = bytes32(0).received(_tokenX(), _tokenY());

        if (balancesAfter.lt(reservesBefore.add(totalFees))) revert LBPair__FlashLoanInsufficientAmount();

        totalFees = balancesAfter.sub(reservesBefore);

        uint24 activeId = parameters.getActiveId();
        bytes32 protocolFees = totalSupply(activeId) == 0
            ? totalFees
            : totalFees.scalarMulDivBasisPointRoundDown(parameters.getProtocolShare());

        _reserves = balancesAfter;

        _protocolFees = _protocolFees.add(protocolFees);
        _bins[activeId] = _bins[activeId].add(totalFees.sub(protocolFees));

        emit FlashLoan(msg.sender, receiver, activeId, amounts, totalFees, protocolFees);
    }

    /**
     * @notice Mint liquidity tokens by depositing tokens into the pool.
     * It will mint Liquidity Book (LB) tokens for each bin where the user adds liquidity.
     * This function will not transfer the tokens from the caller, it is expected that the tokens have already been
     * transferred to this contract through another contract, most likely the router.
     * That is why this function shouldn't be called directly, but through one of the add liquidity functions of a
     * router that will also perform safety checks.
     * @dev Any excess amount of token will be sent to the `to` address.
     * @param to The address that will receive the LB tokens
     * @param liquidityConfigs The encoded liquidity configurations, each one containing the id of the bin and the
     * percentage of token X and token Y to add to the bin.
     * @param refundTo The address that will receive the excess amount of tokens
     * @return amountsReceived The amounts of token X and token Y received by the pool
     * @return amountsLeft The amounts of token X and token Y that were not added to the pool and were sent to `to`
     * @return liquidityMinted The amounts of LB tokens minted for each bin
     */
    function mint(address to, bytes32[] calldata liquidityConfigs, address refundTo)
        external
        override
        nonReentrant
        notAddressZeroOrThis(to)
        returns (bytes32 amountsReceived, bytes32 amountsLeft, uint256[] memory liquidityMinted)
    {
        if (liquidityConfigs.length == 0) revert LBPair__EmptyMarketConfigs();

        MintArrays memory arrays = MintArrays({
            ids: new uint256[](liquidityConfigs.length),
            amounts: new bytes32[](liquidityConfigs.length),
            liquidityMinted: new uint256[](liquidityConfigs.length)
        });

        bytes32 reserves = _reserves;

        amountsReceived = reserves.received(_tokenX(), _tokenY());
        amountsLeft = _mintBins(liquidityConfigs, amountsReceived, to, arrays);

        _reserves = reserves.add(amountsReceived.sub(amountsLeft));

        if (amountsLeft > 0) amountsLeft.transfer(_tokenX(), _tokenY(), refundTo);

        liquidityMinted = arrays.liquidityMinted;

        emit TransferBatch(msg.sender, address(0), to, arrays.ids, liquidityMinted);
        emit DepositedToBins(msg.sender, to, arrays.ids, arrays.amounts);
    }

    /**
     * @notice Burn Liquidity Book (LB) tokens and withdraw tokens from the pool.
     * This function will burn the tokens directly from the caller
     * @param from The address that will burn the LB tokens
     * @param to The address that will receive the tokens
     * @param ids The ids of the bins from which to withdraw
     * @param amountsToBurn The amounts of LB tokens to burn for each bin
     * @return amounts The amounts of token X and token Y received by the user
     */
    function burn(address from, address to, uint256[] calldata ids, uint256[] calldata amountsToBurn)
        external
        override
        nonReentrant
        checkApproval(from, msg.sender)
        returns (bytes32[] memory amounts)
    {
        if (ids.length == 0 || ids.length != amountsToBurn.length) revert LBPair__InvalidInput();

        amounts = new bytes32[](ids.length);

        bytes32 amountsOut;

        for (uint256 i; i < ids.length;) {
            uint24 id = ids[i].safe24();
            uint256 amountToBurn = amountsToBurn[i];

            if (amountToBurn == 0) revert LBPair__ZeroAmount(id);

            bytes32 binReserves = _bins[id];
            uint256 supply = totalSupply(id);

            _burn(from, id, amountToBurn);

            bytes32 amountsOutFromBin = binReserves.getAmountOutOfBin(amountToBurn, supply);

            if (amountsOutFromBin == 0) revert LBPair__ZeroAmountsOut(id);

            binReserves = binReserves.sub(amountsOutFromBin);

            if (supply == amountToBurn) _tree.remove(id);

            _bins[id] = binReserves;
            amounts[i] = amountsOutFromBin;
            amountsOut = amountsOut.add(amountsOutFromBin);

            unchecked {
                ++i;
            }
        }

        _reserves = _reserves.sub(amountsOut);

        amountsOut.transfer(_tokenX(), _tokenY(), to);

        emit TransferBatch(msg.sender, from, address(0), ids, amountsToBurn);
        emit WithdrawnFromBins(msg.sender, to, ids, amounts);
    }

    /**
     * @notice Collect the protocol fees from the pool.
     * @return collectedProtocolFees The amount of protocol fees collected
     */
    function collectProtocolFees()
        external
        override
        nonReentrant
        onlyProtocolFeeRecipient
        returns (bytes32 collectedProtocolFees)
    {
        bytes32 protocolFees = _protocolFees;

        (uint128 x, uint128 y) = protocolFees.decode();
        bytes32 ones = uint128(x > 0 ? 1 : 0).encode(uint128(y > 0 ? 1 : 0));

        collectedProtocolFees = protocolFees.sub(ones);

        if (collectedProtocolFees != 0) {
            _protocolFees = ones;
            _reserves = _reserves.sub(collectedProtocolFees);

            collectedProtocolFees.transfer(_tokenX(), _tokenY(), msg.sender);

            emit CollectedProtocolFees(msg.sender, collectedProtocolFees);
        }
    }

    /**
     * @notice Increase the length of the oracle used by the pool
     * @param newLength The new length of the oracle
     */
    function increaseOracleLength(uint16 newLength) external override {
        bytes32 parameters = _parameters;

        uint16 oracleId = parameters.getOracleId();

        // activate the oracle if it is not active yet
        if (oracleId == 0) {
            oracleId = 1;
            _parameters = parameters.setOracleId(oracleId);
        }

        _oracle.increaseLength(oracleId, newLength);

        emit OracleLengthIncreased(msg.sender, newLength);
    }

    /**
     * @notice Sets the static fee parameters of the pool
     * @dev Can only be called by the factory
     * @param baseFactor The base factor of the static fee
     * @param filterPeriod The filter period of the static fee
     * @param decayPeriod The decay period of the static fee
     * @param reductionFactor The reduction factor of the static fee
     * @param variableFeeControl The variable fee control of the static fee
     * @param protocolShare The protocol share of the static fee
     * @param maxVolatilityAccumulator The max volatility accumulator of the static fee
     */
    function setStaticFeeParameters(
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator
    ) external override onlyFactory {
        _setStaticFeeParameters(
            _parameters,
            baseFactor,
            filterPeriod,
            decayPeriod,
            reductionFactor,
            variableFeeControl,
            protocolShare,
            maxVolatilityAccumulator
        );
    }

    /**
     * @notice Forces the decay of the volatility reference variables
     * @dev Can only be called by the factory
     */
    function forceDecay() external override onlyFactory {
        bytes32 parameters = _parameters;

        _parameters = parameters.updateIdReference().updateVolatilityReference();

        emit ForcedDecay(msg.sender, parameters.getIdReference(), parameters.getVolatilityReference());
    }

    /**
     * @dev Returns the address of the token X
     * @return The address of the token X
     */
    function _tokenX() internal pure returns (IERC20) {
        return IERC20(_getArgAddress(0));
    }

    /**
     * @dev Returns the address of the token Y
     * @return The address of the token Y
     */
    function _tokenY() internal pure returns (IERC20) {
        return IERC20(_getArgAddress(20));
    }

    /**
     * @dev Returns the bin step of the pool, in basis points
     * @return The bin step of the pool
     */
    function _binStep() internal pure returns (uint16) {
        return _getArgUint16(40);
    }

    /**
     * @dev Returns next non-empty bin
     * @param swapForY Whether the swap is for Y
     * @param id The id of the bin
     * @return The id of the next non-empty bin
     */
    function _getNextNonEmptyBin(bool swapForY, uint24 id) internal view returns (uint24) {
        return swapForY ? _tree.findFirstRight(id) : _tree.findFirstLeft(id);
    }

    /**
     * @dev Returns the encoded fees amounts for a flash loan
     * @param amounts The amounts of the flash loan
     * @return The encoded fees amounts
     */
    function _getFlashLoanFees(bytes32 amounts) private view returns (bytes32) {
        uint128 fee = uint128(_factory.getFlashLoanFee());
        (uint128 x, uint128 y) = amounts.decode();

        unchecked {
            uint256 precisionSubOne = Constants.PRECISION - 1;
            x = ((uint256(x) * fee + precisionSubOne) / Constants.PRECISION).safe128();
            y = ((uint256(y) * fee + precisionSubOne) / Constants.PRECISION).safe128();
        }

        return x.encode(y);
    }

    /**
     * @dev Sets the static fee parameters of the pair
     * @param parameters The current parameters of the pair
     * @param baseFactor The base factor of the static fee
     * @param filterPeriod The filter period of the static fee
     * @param decayPeriod The decay period of the static fee
     * @param reductionFactor The reduction factor of the static fee
     * @param variableFeeControl The variable fee control of the static fee
     * @param protocolShare The protocol share of the static fee
     * @param maxVolatilityAccumulator The max volatility accumulator of the static fee
     */
    function _setStaticFeeParameters(
        bytes32 parameters,
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator
    ) internal {
        if (
            baseFactor == 0 && filterPeriod == 0 && decayPeriod == 0 && reductionFactor == 0 && variableFeeControl == 0
                && protocolShare == 0 && maxVolatilityAccumulator == 0
        ) {
            revert LBPair__InvalidStaticFeeParameters();
        }

        parameters = parameters.setStaticFeeParameters(
            baseFactor,
            filterPeriod,
            decayPeriod,
            reductionFactor,
            variableFeeControl,
            protocolShare,
            maxVolatilityAccumulator
        );

        {
            uint16 binStep = _binStep();
            bytes32 maxParameters = parameters.setVolatilityAccumulator(maxVolatilityAccumulator);
            uint256 totalFee = maxParameters.getBaseFee(binStep) + maxParameters.getVariableFee(binStep);
            if (totalFee > _MAX_TOTAL_FEE) {
                revert LBPair__MaxTotalFeeExceeded();
            }
        }

        _parameters = parameters;

        emit StaticFeeParametersSet(
            msg.sender,
            baseFactor,
            filterPeriod,
            decayPeriod,
            reductionFactor,
            variableFeeControl,
            protocolShare,
            maxVolatilityAccumulator
            );
    }

    /**
     * @dev Helper function to mint liquidity in each bin in the liquidity configurations
     * @param liquidityConfigs The liquidity configurations
     * @param amountsReceived The amounts received
     * @param to The address to mint the liquidity to
     * @param arrays The arrays to store the results
     * @return amountsLeft The amounts left
     */
    function _mintBins(
        bytes32[] calldata liquidityConfigs,
        bytes32 amountsReceived,
        address to,
        MintArrays memory arrays
    ) private returns (bytes32 amountsLeft) {
        uint16 binStep = _binStep();

        bytes32 parameters = _parameters;
        uint24 activeId = parameters.getActiveId();

        amountsLeft = amountsReceived;

        for (uint256 i; i < liquidityConfigs.length;) {
            (bytes32 maxAmountsInToBin, uint24 id) = liquidityConfigs[i].getAmountsAndId(amountsReceived);
            (uint256 shares, bytes32 amountsIn, bytes32 amountsInToBin) =
                _updateBin(binStep, activeId, id, maxAmountsInToBin, parameters);

            amountsLeft = amountsLeft.sub(amountsIn);

            arrays.ids[i] = id;
            arrays.amounts[i] = amountsInToBin;
            arrays.liquidityMinted[i] = shares;

            _mint(to, id, shares);

            unchecked {
                ++i;
            }
        }
    }

    /**
     * @dev Helper function to update a bin during minting
     * @param binStep The bin step of the pair
     * @param activeId The id of the active bin
     * @param id The id of the bin
     * @param maxAmountsInToBin The maximum amounts in to the bin
     * @param parameters The parameters of the pair
     * @return shares The amount of shares minted
     * @return amountsIn The amounts in
     * @return amountsInToBin The amounts in to the bin
     */
    function _updateBin(uint16 binStep, uint24 activeId, uint24 id, bytes32 maxAmountsInToBin, bytes32 parameters)
        internal
        returns (uint256 shares, bytes32 amountsIn, bytes32 amountsInToBin)
    {
        bytes32 binReserves = _bins[id];

        uint256 price = id.getPriceFromId(binStep);
        uint256 supply = totalSupply(id);

        (shares, amountsIn) = binReserves.getSharesAndEffectiveAmountsIn(maxAmountsInToBin, price, supply);
        amountsInToBin = amountsIn;

        if (id == activeId) {
            parameters = parameters.updateVolatilityParameters(id);

            bytes32 fees = binReserves.getCompositionFees(parameters, binStep, amountsIn, supply, shares);

            if (fees != 0) {
                uint256 userLiquidity = amountsIn.sub(fees).getLiquidity(price);
                uint256 binLiquidity = binReserves.getLiquidity(price);

                shares = userLiquidity.mulDivRoundDown(supply, binLiquidity);
                bytes32 protocolCFees = fees.scalarMulDivBasisPointRoundDown(parameters.getProtocolShare());

                if (protocolCFees != 0) {
                    amountsInToBin = amountsInToBin.sub(protocolCFees);
                    _protocolFees = _protocolFees.add(protocolCFees);
                }

                parameters = _oracle.update(parameters, id);
                _parameters = parameters;

                emit CompositionFees(msg.sender, id, fees, protocolCFees);
            }
        } else {
            amountsIn.verifyAmounts(activeId, id);
        }

        if (shares == 0 || amountsInToBin == 0) revert LBPair__ZeroShares(id);

        if (supply == 0) _tree.add(id);

        _bins[id] = binReserves.add(amountsInToBin);
    }
}

// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 standard as defined in the EIP.
 */
interface IERC20 {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

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

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

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

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

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

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

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {IERC20} from "openzeppelin/token/ERC20/IERC20.sol";

import {PackedUint128Math} from "./math/PackedUint128Math.sol";
import {Uint256x256Math} from "./math/Uint256x256Math.sol";
import {SafeCast} from "./math/SafeCast.sol";
import {Constants} from "./Constants.sol";
import {PairParameterHelper} from "./PairParameterHelper.sol";
import {FeeHelper} from "./FeeHelper.sol";
import {PriceHelper} from "./PriceHelper.sol";
import {TokenHelper} from "./TokenHelper.sol";

/**
 * @title Liquidity Book Bin Helper Library
 * @author Trader Joe
 * @notice This library contains functions to help interaction with bins.
 */
library BinHelper {
    using PackedUint128Math for bytes32;
    using PackedUint128Math for uint128;
    using Uint256x256Math for uint256;
    using PriceHelper for uint24;
    using SafeCast for uint256;
    using PairParameterHelper for bytes32;
    using FeeHelper for uint128;
    using TokenHelper for IERC20;

    error BinHelper__CompositionFactorFlawed(uint24 id);
    error BinHelper__LiquidityOverflow();

    /**
     * @dev Returns the amount of tokens that will be received when burning the given amount of liquidity
     * @param binReserves The reserves of the bin
     * @param amountToBurn The amount of liquidity to burn
     * @param totalSupply The total supply of the liquidity book
     * @return amountsOut The encoded amount of tokens that will be received
     */
    function getAmountOutOfBin(bytes32 binReserves, uint256 amountToBurn, uint256 totalSupply)
        internal
        pure
        returns (bytes32 amountsOut)
    {
        (uint128 binReserveX, uint128 binReserveY) = binReserves.decode();

        uint128 amountXOutFromBin;
        uint128 amountYOutFromBin;

        if (binReserveX > 0) {
            amountXOutFromBin = (amountToBurn.mulDivRoundDown(binReserveX, totalSupply)).safe128();
        }

        if (binReserveY > 0) {
            amountYOutFromBin = (amountToBurn.mulDivRoundDown(binReserveY, totalSupply)).safe128();
        }

        amountsOut = amountXOutFromBin.encode(amountYOutFromBin);
    }

    /**
     * @dev Returns the share and the effective amounts in when adding liquidity
     * @param binReserves The reserves of the bin
     * @param amountsIn The amounts of tokens to add
     * @param price The price of the bin
     * @param totalSupply The total supply of the liquidity book
     * @return shares The share of the liquidity book that the user will receive
     * @return effectiveAmountsIn The encoded effective amounts of tokens that the user will add.
     * This is the amount of tokens that the user will actually add to the liquidity book,
     * and will always be less than or equal to the amountsIn.
     */
    function getSharesAndEffectiveAmountsIn(bytes32 binReserves, bytes32 amountsIn, uint256 price, uint256 totalSupply)
        internal
        pure
        returns (uint256 shares, bytes32 effectiveAmountsIn)
    {
        (uint256 x, uint256 y) = amountsIn.decode();

        uint256 userLiquidity = getLiquidity(x, y, price);
        if (totalSupply == 0 || userLiquidity == 0) return (userLiquidity, amountsIn);

        uint256 binLiquidity = getLiquidity(binReserves, price);
        if (binLiquidity == 0) return (userLiquidity, amountsIn);

        shares = userLiquidity.mulDivRoundDown(totalSupply, binLiquidity);
        uint256 effectiveLiquidity = shares.mulDivRoundUp(binLiquidity, totalSupply);

        if (userLiquidity > effectiveLiquidity) {
            uint256 deltaLiquidity = userLiquidity - effectiveLiquidity;

            // The other way might be more efficient, but as y is the quote asset, it is more valuable
            if (deltaLiquidity >= Constants.SCALE) {
                uint256 deltaY = deltaLiquidity >> Constants.SCALE_OFFSET;
                deltaY = deltaY > y ? y : deltaY;

                y -= deltaY;
                deltaLiquidity -= deltaY << Constants.SCALE_OFFSET;
            }

            if (deltaLiquidity >= price) {
                uint256 deltaX = deltaLiquidity / price;
                deltaX = deltaX > x ? x : deltaX;

                x -= deltaX;
            }

            amountsIn = uint128(x).encode(uint128(y));
        }

        return (shares, amountsIn);
    }

    /**
     * @dev Returns the amount of liquidity following the constant sum formula `L = price * x + y`
     * @param amounts The amounts of tokens
     * @param price The price of the bin
     * @return liquidity The amount of liquidity
     */
    function getLiquidity(bytes32 amounts, uint256 price) internal pure returns (uint256 liquidity) {
        (uint256 x, uint256 y) = amounts.decode();
        return getLiquidity(x, y, price);
    }

    /**
     * @dev Returns the amount of liquidity following the constant sum formula `L = price * x + y`
     * @param x The amount of the token X
     * @param y The amount of the token Y
     * @param price The price of the bin
     * @return liquidity The amount of liquidity
     */
    function getLiquidity(uint256 x, uint256 y, uint256 price) internal pure returns (uint256 liquidity) {
        if (x > 0) {
            unchecked {
                liquidity = price * x;
                if (liquidity / x != price) revert BinHelper__LiquidityOverflow();
            }
        }
        if (y > 0) {
            unchecked {
                y <<= Constants.SCALE_OFFSET;
                liquidity += y;

                if (liquidity < y) revert BinHelper__LiquidityOverflow();
            }
        }

        return liquidity;
    }

    /**
     * @dev Verify that the amounts are correct and that the composition factor is not flawed
     * @param amounts The amounts of tokens
     * @param activeId The id of the active bin
     * @param id The id of the bin
     */
    function verifyAmounts(bytes32 amounts, uint24 activeId, uint24 id) internal pure {
        if (id < activeId && (amounts << 128) > 0 || id > activeId && uint256(amounts) > type(uint128).max) {
            revert BinHelper__CompositionFactorFlawed(id);
        }
    }

    /**
     * @dev Returns the composition fees when adding liquidity to the active bin with a different
     * composition factor than the bin's one, as it does an implicit swap
     * @param binReserves The reserves of the bin
     * @param parameters The parameters of the liquidity book
     * @param binStep The step of the bin
     * @param amountsIn The amounts of tokens to add
     * @param totalSupply The total supply of the liquidity book
     * @param shares The share of the liquidity book that the user will receive
     * @return fees The encoded fees that will be charged
     */
    function getCompositionFees(
        bytes32 binReserves,
        bytes32 parameters,
        uint16 binStep,
        bytes32 amountsIn,
        uint256 totalSupply,
        uint256 shares
    ) internal pure returns (bytes32 fees) {
        if (shares == 0) return 0;

        (uint128 amountX, uint128 amountY) = amountsIn.decode();
        (uint128 receivedAmountX, uint128 receivedAmountY) =
            getAmountOutOfBin(binReserves.add(amountsIn), shares, totalSupply + shares).decode();

        if (receivedAmountX > amountX) {
            uint128 feeY = (amountY - receivedAmountY).getCompositionFee(parameters.getTotalFee(binStep));

            fees = feeY.encodeSecond();
        } else if (receivedAmountY > amountY) {
            uint128 feeX = (amountX - receivedAmountX).getCompositionFee(parameters.getTotalFee(binStep));

            fees = feeX.encodeFirst();
        }
    }

    /**
     * @dev Returns whether the bin is empty (true) or not (false)
     * @param binReserves The reserves of the bin
     * @param isX Whether the reserve to check is the X reserve (true) or the Y reserve (false)
     * @return Whether the bin is empty (true) or not (false)
     */
    function isEmpty(bytes32 binReserves, bool isX) internal pure returns (bool) {
        return isX ? binReserves.decodeX() == 0 : binReserves.decodeY() == 0;
    }

    /**
     * @dev Returns the amounts of tokens that will be added and removed from the bin during a swap
     * along with the fees that will be charged
     * @param binReserves The reserves of the bin
     * @param parameters The parameters of the liquidity book
     * @param binStep The step of the bin
     * @param swapForY Whether the swap is for Y (true) or for X (false)
     * @param activeId The id of the active bin
     * @param amountsInLeft The amounts of tokens left to swap
     * @return amountsInWithFees The encoded amounts of tokens that will be added to the bin, including fees
     * @return amountsOutOfBin The encoded amounts of tokens that will be removed from the bin
     * @return totalFees The encoded fees that will be charged
     */
    function getAmounts(
        bytes32 binReserves,
        bytes32 parameters,
        uint16 binStep,
        bool swapForY, // swap `swapForY` and `activeId` to avoid stack too deep
        uint24 activeId,
        bytes32 amountsInLeft
    ) internal pure returns (bytes32 amountsInWithFees, bytes32 amountsOutOfBin, bytes32 totalFees) {
        uint256 price = activeId.getPriceFromId(binStep);

        uint128 binReserveOut = binReserves.decode(!swapForY);

        uint128 maxAmountIn = swapForY
            ? uint256(binReserveOut).shiftDivRoundUp(Constants.SCALE_OFFSET, price).safe128()
            : uint256(binReserveOut).mulShiftRoundUp(price, Constants.SCALE_OFFSET).safe128();

        uint128 totalFee = parameters.getTotalFee(binStep);
        uint128 maxFee = maxAmountIn.getFeeAmount(totalFee);

        maxAmountIn += maxFee;

        uint128 amountIn128 = amountsInLeft.decode(swapForY);
        uint128 fee128;
        uint128 amountOut128;

        if (amountIn128 >= maxAmountIn) {
            fee128 = maxFee;

            amountIn128 = maxAmountIn;
            amountOut128 = binReserveOut;
        } else {
            fee128 = amountIn128.getFeeAmountFrom(totalFee);

            uint256 amountIn = amountIn128 - fee128;

            amountOut128 = swapForY
                ? uint256(amountIn).mulShiftRoundDown(price, Constants.SCALE_OFFSET).safe128()
                : uint256(amountIn).shiftDivRoundDown(Constants.SCALE_OFFSET, price).safe128();

            if (amountOut128 > binReserveOut) amountOut128 = binReserveOut;
        }

        (amountsInWithFees, amountsOutOfBin, totalFees) = swapForY
            ? (amountIn128.encodeFirst(), amountOut128.encodeSecond(), fee128.encodeFirst())
            : (amountIn128.encodeSecond(), amountOut128.encodeFirst(), fee128.encodeSecond());
    }

    /**
     * @dev Returns the encoded amounts that were transferred to the contract
     * @param reserves The reserves
     * @param tokenX The token X
     * @param tokenY The token Y
     * @return amounts The amounts, encoded as follows:
     * [0 - 128[: amountX
     * [128 - 256[: amountY
     */
    function received(bytes32 reserves, IERC20 tokenX, IERC20 tokenY) internal view returns (bytes32 amounts) {
        amounts = _balanceOf(tokenX).encode(_balanceOf(tokenY)).sub(reserves);
    }

    /**
     * @dev Returns the encoded amounts that were transferred to the contract, only for token X
     * @param reserves The reserves
     * @param tokenX The token X
     * @return amounts The amounts, encoded as follows:
     * [0 - 128[: amountX
     * [128 - 256[: empty
     */
    function receivedX(bytes32 reserves, IERC20 tokenX) internal view returns (bytes32) {
        uint128 reserveX = reserves.decodeX();
        return (_balanceOf(tokenX) - reserveX).encodeFirst();
    }

    /**
     * @dev Returns the encoded amounts that were transferred to the contract, only for token Y
     * @param reserves The reserves
     * @param tokenY The token Y
     * @return amounts The amounts, encoded as follows:
     * [0 - 128[: empty
     * [128 - 256[: amountY
     */
    function receivedY(bytes32 reserves, IERC20 tokenY) internal view returns (bytes32) {
        uint128 reserveY = reserves.decodeY();
        return (_balanceOf(tokenY) - reserveY).encodeSecond();
    }

    /**
     * @dev Transfers the encoded amounts to the recipient
     * @param amounts The amounts, encoded as follows:
     * [0 - 128[: amountX
     * [128 - 256[: amountY
     * @param tokenX The token X
     * @param tokenY The token Y
     * @param recipient The recipient
     */
    function transfer(bytes32 amounts, IERC20 tokenX, IERC20 tokenY, address recipient) internal {
        (uint128 amountX, uint128 amountY) = amounts.decode();

        if (amountX > 0) tokenX.safeTransfer(recipient, amountX);
        if (amountY > 0) tokenY.safeTransfer(recipient, amountY);
    }

    /**
     * @dev Transfers the encoded amounts to the recipient, only for token X
     * @param amounts The amounts, encoded as follows:
     * [0 - 128[: amountX
     * [128 - 256[: empty
     * @param tokenX The token X
     * @param recipient The recipient
     */
    function transferX(bytes32 amounts, IERC20 tokenX, address recipient) internal {
        uint128 amountX = amounts.decodeX();

        if (amountX > 0) tokenX.safeTransfer(recipient, amountX);
    }

    /**
     * @dev Transfers the encoded amounts to the recipient, only for token Y
     * @param amounts The amounts, encoded as follows:
     * [0 - 128[: empty
     * [128 - 256[: amountY
     * @param tokenY The token Y
     * @param recipient The recipient
     */
    function transferY(bytes32 amounts, IERC20 tokenY, address recipient) internal {
        uint128 amountY = amounts.decodeY();

        if (amountY > 0) tokenY.safeTransfer(recipient, amountY);
    }

    function _balanceOf(IERC20 token) private view returns (uint128) {
        return token.balanceOf(address(this)).safe128();
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Clone
 * @notice Class with helper read functions for clone with immutable args.
 * @author Trader Joe
 * @author Solady (https://github.com/vectorized/solady/blob/main/src/utils/Clone.sol)
 * @author Adapted from clones with immutable args by zefram.eth, Saw-mon & Natalie
 * (https://github.com/Saw-mon-and-Natalie/clones-with-immutable-args)
 */
abstract contract Clone {
    /**
     * @dev Reads an immutable arg with type bytes
     * @param argOffset The offset of the arg in the immutable args
     * @param length The length of the arg
     * @return arg The immutable bytes arg
     */
    function _getArgBytes(uint256 argOffset, uint256 length) internal pure returns (bytes memory arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            // Grab the free memory pointer.
            arg := mload(0x40)
            // Store the array length.
            mstore(arg, length)
            // Copy the array.
            calldatacopy(add(arg, 0x20), add(offset, argOffset), length)
            // Allocate the memory, rounded up to the next 32 byte boundary.
            mstore(0x40, and(add(add(arg, 0x3f), length), not(0x1f)))
        }
    }

    /**
     * @dev Reads an immutable arg with type address
     * @param argOffset The offset of the arg in the immutable args
     * @return arg The immutable address arg
     */
    function _getArgAddress(uint256 argOffset) internal pure returns (address arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(0x60, calldataload(add(offset, argOffset)))
        }
    }

    /**
     * @dev Reads an immutable arg with type uint256
     * @param argOffset The offset of the arg in the immutable args
     * @return arg The immutable uint256 arg
     */
    function _getArgUint256(uint256 argOffset) internal pure returns (uint256 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := calldataload(add(offset, argOffset))
        }
    }

    /**
     * @dev Reads a uint256 array stored in the immutable args.
     * @param argOffset The offset of the arg in the immutable args
     * @param length The length of the arg
     * @return arg The immutable uint256 array arg
     */
    function _getArgUint256Array(uint256 argOffset, uint256 length) internal pure returns (uint256[] memory arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            // Grab the free memory pointer.
            arg := mload(0x40)
            // Store the array length.
            mstore(arg, length)
            // Copy the array.
            calldatacopy(add(arg, 0x20), add(offset, argOffset), shl(5, length))
            // Allocate the memory.
            mstore(0x40, add(add(arg, 0x20), shl(5, length)))
        }
    }

    /**
     * @dev Reads an immutable arg with type uint64
     * @param argOffset The offset of the arg in the immutable args
     * @return arg The immutable uint64 arg
     */
    function _getArgUint64(uint256 argOffset) internal pure returns (uint64 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(0xc0, calldataload(add(offset, argOffset)))
        }
    }

    /**
     * @dev Reads an immutable arg with type uint16
     * @param argOffset The offset of the arg in the immutable args
     * @return arg The immutable uint16 arg
     */
    function _getArgUint16(uint256 argOffset) internal pure returns (uint16 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(0xf0, calldataload(add(offset, argOffset)))
        }
    }

    /**
     * @dev Reads an immutable arg with type uint8
     * @param argOffset The offset of the arg in the immutable args
     * @return arg The immutable uint8 arg
     */
    function _getArgUint8(uint256 argOffset) internal pure returns (uint8 arg) {
        uint256 offset = _getImmutableArgsOffset();
        /// @solidity memory-safe-assembly
        assembly {
            arg := shr(0xf8, calldataload(add(offset, argOffset)))
        }
    }

    /**
     * @dev Reads the offset of the packed immutable args in calldata.
     * @return offset The offset of the packed immutable args in calldata.
     */
    function _getImmutableArgsOffset() internal pure returns (uint256 offset) {
        /// @solidity memory-safe-assembly
        assembly {
            offset := sub(calldatasize(), shr(0xf0, calldataload(sub(calldatasize(), 2))))
        }
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Constants Library
 * @author Trader Joe
 * @notice Set of constants for Liquidity Book contracts
 */
library Constants {
    uint8 internal constant SCALE_OFFSET = 128;
    uint256 internal constant SCALE = 1 << SCALE_OFFSET;

    uint256 internal constant PRECISION = 1e18;
    uint256 internal constant SQUARED_PRECISION = PRECISION * PRECISION;

    uint256 internal constant MAX_FEE = 0.1e18; // 10%
    uint256 internal constant MAX_PROTOCOL_SHARE = 2_500; // 25% of the fee

    uint256 internal constant BASIS_POINT_MAX = 10_000;

    /// @dev The expected return after a successful flash loan
    bytes32 internal constant CALLBACK_SUCCESS = keccak256("LBPair.onFlashLoan");
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

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

/**
 * @title Liquidity Book Fee Helper Library
 * @author Trader Joe
 * @notice This library contains functions to calculate fees
 */
library FeeHelper {
    error FeeHelper__FeeTooLarge();
    error FeeHelper__ProtocolShareTooLarge();

    /**
     * @dev Modifier to check that the fee is not too large
     * @param fee The fee
     */
    modifier verifyFee(uint128 fee) {
        if (fee > Constants.MAX_FEE) revert FeeHelper__FeeTooLarge();
        _;
    }

    /**
     * @dev Modifier to check that the protocol share is not too large
     * @param protocolShare The protocol share
     */
    modifier verifyProtocolShare(uint128 protocolShare) {
        if (protocolShare > Constants.MAX_PROTOCOL_SHARE) revert FeeHelper__ProtocolShareTooLarge();
        _;
    }

    /**
     * @dev Calculates the fee amount from the amount with fees, rounding up
     * @param amountWithFees The amount with fees
     * @param totalFee The total fee
     * @return feeAmount The fee amount
     */
    function getFeeAmountFrom(uint128 amountWithFees, uint128 totalFee)
        internal
        pure
        verifyFee(totalFee)
        returns (uint128)
    {
        unchecked {
            // Can't overflow, max(result) = (type(uint128).max * 0.1e18 + 1e18 - 1) / 1e18 < 2^128
            return uint128((uint256(amountWithFees) * totalFee + Constants.PRECISION - 1) / Constants.PRECISION);
        }
    }

    /**
     * @dev Calculates the fee amount that will be charged, rounding up
     * @param amount The amount
     * @param totalFee The total fee
     * @return feeAmount The fee amount
     */
    function getFeeAmount(uint128 amount, uint128 totalFee) internal pure verifyFee(totalFee) returns (uint128) {
        unchecked {
            uint256 denominator = Constants.PRECISION - totalFee;
            // Can't overflow, max(result) = (type(uint128).max * 0.1e18 + (1e18 - 1)) / 0.9e18 < 2^128
            return uint128((uint256(amount) * totalFee + denominator - 1) / denominator);
        }
    }

    /**
     * @dev Calculates the composition fee amount from the amount with fees, rounding down
     * @param amountWithFees The amount with fees
     * @param totalFee The total fee
     * @return The amount with fees
     */
    function getCompositionFee(uint128 amountWithFees, uint128 totalFee)
        internal
        pure
        verifyFee(totalFee)
        returns (uint128)
    {
        unchecked {
            uint256 denominator = Constants.SQUARED_PRECISION;
            // Can't overflow, max(result) = type(uint128).max * 0.1e18 * 1.1e18 / 1e36 <= 2^128 * 0.11e36 / 1e36 < 2^128
            return uint128(uint256(amountWithFees) * totalFee * (uint256(totalFee) + Constants.PRECISION) / denominator);
        }
    }

    /**
     * @dev Calculates the protocol fee amount from the fee amount and the protocol share, rounding down
     * @param feeAmount The fee amount
     * @param protocolShare The protocol share
     * @return protocolFeeAmount The protocol fee amount
     */
    function getProtocolFeeAmount(uint128 feeAmount, uint128 protocolShare)
        internal
        pure
        verifyProtocolShare(protocolShare)
        returns (uint128)
    {
        unchecked {
            return uint128(uint256(feeAmount) * protocolShare / Constants.BASIS_POINT_MAX);
        }
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {PackedUint128Math} from "./PackedUint128Math.sol";
import {Encoded} from "./Encoded.sol";

/**
 * @title Liquidity Book Liquidity Configurations Library
 * @author Trader Joe
 * @notice This library contains functions to encode and decode the config of a pool and interact with the encoded bytes32.
 */
library LiquidityConfigurations {
    using PackedUint128Math for bytes32;
    using PackedUint128Math for uint128;
    using Encoded for bytes32;

    error LiquidityConfigurations__InvalidConfig();

    uint256 private constant OFFSET_ID = 0;
    uint256 private constant OFFSET_DISTRIBUTION_Y = 24;
    uint256 private constant OFFSET_DISTRIBUTION_X = 88;

    uint256 private constant PRECISION = 1e18;

    /**
     * @dev Encode the distributionX, distributionY and id into a single bytes32
     * @param distributionX The distribution of the first token
     * @param distributionY The distribution of the second token
     * @param id The id of the pool
     * @return config The encoded config as follows:
     * [0 - 24[: id
     * [24 - 88[: distributionY
     * [88 - 152[: distributionX
     * [152 - 256[: empty
     */
    function encodeParams(uint64 distributionX, uint64 distributionY, uint24 id)
        internal
        pure
        returns (bytes32 config)
    {
        config = config.set(distributionX, Encoded.MASK_UINT64, OFFSET_DISTRIBUTION_X);
        config = config.set(distributionY, Encoded.MASK_UINT64, OFFSET_DISTRIBUTION_Y);
        config = config.set(id, Encoded.MASK_UINT24, OFFSET_ID);
    }

    /**
     * @dev Decode the distributionX, distributionY and id from a single bytes32
     * @param config The encoded config as follows:
     * [0 - 24[: id
     * [24 - 88[: distributionY
     * [88 - 152[: distributionX
     * [152 - 256[: empty
     * @return distributionX The distribution of the first token
     * @return distributionY The distribution of the second token
     * @return id The id of the bin to add the liquidity to
     */
    function decodeParams(bytes32 config)
        internal
        pure
        returns (uint64 distributionX, uint64 distributionY, uint24 id)
    {
        distributionX = config.decodeUint64(OFFSET_DISTRIBUTION_X);
        distributionY = config.decodeUint64(OFFSET_DISTRIBUTION_Y);
        id = config.decodeUint24(OFFSET_ID);

        if (uint256(config) > type(uint152).max || distributionX > PRECISION || distributionY > PRECISION) {
            revert LiquidityConfigurations__InvalidConfig();
        }
    }

    /**
     * @dev Get the amounts and id from a config and amountsIn
     * @param config The encoded config as follows:
     * [0 - 24[: id
     * [24 - 88[: distributionY
     * [88 - 152[: distributionX
     * [152 - 256[: empty
     * @param amountsIn The amounts to distribute as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @return amounts The distributed amounts as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @return id The id of the bin to add the liquidity to
     */
    function getAmountsAndId(bytes32 config, bytes32 amountsIn) internal pure returns (bytes32, uint24) {
        (uint64 distributionX, uint64 distributionY, uint24 id) = decodeParams(config);

        (uint128 x1, uint128 x2) = amountsIn.decode();

        assembly {
            x1 := div(mul(x1, distributionX), PRECISION)
            x2 := div(mul(x2, distributionY), PRECISION)
        }

        return (x1.encode(x2), id);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {IERC20} from "openzeppelin/token/ERC20/IERC20.sol";

import {ILBPair} from "./ILBPair.sol";
import {IPendingOwnable} from "./IPendingOwnable.sol";

/**
 * @title Liquidity Book Factory Interface
 * @author Trader Joe
 * @notice Required interface of LBFactory contract
 */
interface ILBFactory is IPendingOwnable {
    error LBFactory__IdenticalAddresses(IERC20 token);
    error LBFactory__QuoteAssetNotWhitelisted(IERC20 quoteAsset);
    error LBFactory__QuoteAssetAlreadyWhitelisted(IERC20 quoteAsset);
    error LBFactory__AddressZero();
    error LBFactory__LBPairAlreadyExists(IERC20 tokenX, IERC20 tokenY, uint256 _binStep);
    error LBFactory__LBPairDoesNotExist(IERC20 tokenX, IERC20 tokenY, uint256 binStep);
    error LBFactory__LBPairNotCreated(IERC20 tokenX, IERC20 tokenY, uint256 binStep);
    error LBFactory__FlashLoanFeeAboveMax(uint256 fees, uint256 maxFees);
    error LBFactory__BinStepTooLow(uint256 binStep);
    error LBFactory__PresetIsLockedForUsers(address user, uint256 binStep);
    error LBFactory__LBPairIgnoredIsAlreadyInTheSameState();
    error LBFactory__BinStepHasNoPreset(uint256 binStep);
    error LBFactory__PresetOpenStateIsAlreadyInTheSameState();
    error LBFactory__SameFeeRecipient(address feeRecipient);
    error LBFactory__SameFlashLoanFee(uint256 flashLoanFee);
    error LBFactory__LBPairSafetyCheckFailed(address LBPairImplementation);
    error LBFactory__SameImplementation(address LBPairImplementation);
    error LBFactory__ImplementationNotSet();

    /**
     * @dev Structure to store the LBPair information, such as:
     * binStep: The bin step of the LBPair
     * LBPair: The address of the LBPair
     * createdByOwner: Whether the pair was created by the owner of the factory
     * ignoredForRouting: Whether the pair is ignored for routing or not. An ignored pair will not be explored during routes finding
     */
    struct LBPairInformation {
        uint16 binStep;
        ILBPair LBPair;
        bool createdByOwner;
        bool ignoredForRouting;
    }

    event LBPairCreated(
        IERC20 indexed tokenX, IERC20 indexed tokenY, uint256 indexed binStep, ILBPair LBPair, uint256 pid
    );

    event FeeRecipientSet(address oldRecipient, address newRecipient);

    event FlashLoanFeeSet(uint256 oldFlashLoanFee, uint256 newFlashLoanFee);

    event LBPairImplementationSet(address oldLBPairImplementation, address LBPairImplementation);

    event LBPairIgnoredStateChanged(ILBPair indexed LBPair, bool ignored);

    event PresetSet(
        uint256 indexed binStep,
        uint256 baseFactor,
        uint256 filterPeriod,
        uint256 decayPeriod,
        uint256 reductionFactor,
        uint256 variableFeeControl,
        uint256 protocolShare,
        uint256 maxVolatilityAccumulator
    );

    event PresetOpenStateChanged(uint256 indexed binStep, bool indexed isOpen);

    event PresetRemoved(uint256 indexed binStep);

    event QuoteAssetAdded(IERC20 indexed quoteAsset);

    event QuoteAssetRemoved(IERC20 indexed quoteAsset);

    function getMinBinStep() external pure returns (uint256);

    function getFeeRecipient() external view returns (address);

    function getMaxFlashLoanFee() external pure returns (uint256);

    function getFlashLoanFee() external view returns (uint256);

    function getLBPairImplementation() external view returns (address);

    function getNumberOfLBPairs() external view returns (uint256);

    function getLBPairAtIndex(uint256 id) external returns (ILBPair);

    function getNumberOfQuoteAssets() external view returns (uint256);

    function getQuoteAssetAtIndex(uint256 index) external view returns (IERC20);

    function isQuoteAsset(IERC20 token) external view returns (bool);

    function getLBPairInformation(IERC20 tokenX, IERC20 tokenY, uint256 binStep)
        external
        view
        returns (LBPairInformation memory);

    function getPreset(uint256 binStep)
        external
        view
        returns (
            uint256 baseFactor,
            uint256 filterPeriod,
            uint256 decayPeriod,
            uint256 reductionFactor,
            uint256 variableFeeControl,
            uint256 protocolShare,
            uint256 maxAccumulator,
            bool isOpen
        );

    function getAllBinSteps() external view returns (uint256[] memory presetsBinStep);

    function getOpenBinSteps() external view returns (uint256[] memory openBinStep);

    function getAllLBPairs(IERC20 tokenX, IERC20 tokenY)
        external
        view
        returns (LBPairInformation[] memory LBPairsBinStep);

    function setLBPairImplementation(address lbPairImplementation) external;

    function createLBPair(IERC20 tokenX, IERC20 tokenY, uint24 activeId, uint16 binStep)
        external
        returns (ILBPair pair);

    function setLBPairIgnored(IERC20 tokenX, IERC20 tokenY, uint16 binStep, bool ignored) external;

    function setPreset(
        uint16 binStep,
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator,
        bool isOpen
    ) external;

    function setPresetOpenState(uint16 binStep, bool isOpen) external;

    function removePreset(uint16 binStep) external;

    function setFeesParametersOnPair(
        IERC20 tokenX,
        IERC20 tokenY,
        uint16 binStep,
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator
    ) external;

    function setFeeRecipient(address feeRecipient) external;

    function setFlashLoanFee(uint256 flashLoanFee) external;

    function addQuoteAsset(IERC20 quoteAsset) external;

    function removeQuoteAsset(IERC20 quoteAsset) external;

    function forceDecay(ILBPair lbPair) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {IERC20} from "openzeppelin/token/ERC20/IERC20.sol";

/// @title Liquidity Book Flashloan Callback Interface
/// @author Trader Joe
/// @notice Required interface to interact with LB flash loans
interface ILBFlashLoanCallback {
    function LBFlashLoanCallback(
        address sender,
        IERC20 tokenX,
        IERC20 tokenY,
        bytes32 amounts,
        bytes32 totalFees,
        bytes calldata data
    ) external returns (bytes32);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {IERC20} from "openzeppelin/token/ERC20/IERC20.sol";

import {ILBFactory} from "./ILBFactory.sol";
import {ILBFlashLoanCallback} from "./ILBFlashLoanCallback.sol";
import {ILBToken} from "./ILBToken.sol";

interface ILBPair is ILBToken {
    error LBPair__ZeroBorrowAmount();
    error LBPair__AddressZero();
    error LBPair__AlreadyInitialized();
    error LBPair__EmptyMarketConfigs();
    error LBPair__FlashLoanCallbackFailed();
    error LBPair__FlashLoanInsufficientAmount();
    error LBPair__InsufficientAmountIn();
    error LBPair__InsufficientAmountOut();
    error LBPair__InvalidInput();
    error LBPair__InvalidStaticFeeParameters();
    error LBPair__OnlyFactory();
    error LBPair__OnlyProtocolFeeRecipient();
    error LBPair__OutOfLiquidity();
    error LBPair__TokenNotSupported();
    error LBPair__ZeroAmount(uint24 id);
    error LBPair__ZeroAmountsOut(uint24 id);
    error LBPair__ZeroShares(uint24 id);
    error LBPair__MaxTotalFeeExceeded();

    struct MintArrays {
        uint256[] ids;
        bytes32[] amounts;
        uint256[] liquidityMinted;
    }

    event DepositedToBins(address indexed sender, address indexed to, uint256[] ids, bytes32[] amounts);

    event WithdrawnFromBins(address indexed sender, address indexed to, uint256[] ids, bytes32[] amounts);

    event CompositionFees(address indexed sender, uint24 id, bytes32 totalFees, bytes32 protocolFees);

    event CollectedProtocolFees(address indexed feeRecipient, bytes32 protocolFees);

    event Swap(
        address indexed sender,
        address indexed to,
        uint24 id,
        bytes32 amountsIn,
        bytes32 amountsOut,
        uint24 volatilityAccumulator,
        bytes32 totalFees,
        bytes32 protocolFees
    );

    event StaticFeeParametersSet(
        address indexed sender,
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator
    );

    event FlashLoan(
        address indexed sender,
        ILBFlashLoanCallback indexed receiver,
        uint24 activeId,
        bytes32 amounts,
        bytes32 totalFees,
        bytes32 protocolFees
    );

    event OracleLengthIncreased(address indexed sender, uint16 oracleLength);

    event ForcedDecay(address indexed sender, uint24 idReference, uint24 volatilityReference);

    function initialize(
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator,
        uint24 activeId
    ) external;

    function getFactory() external view returns (ILBFactory factory);

    function getTokenX() external view returns (IERC20 tokenX);

    function getTokenY() external view returns (IERC20 tokenY);

    function getBinStep() external view returns (uint16 binStep);

    function getReserves() external view returns (uint128 reserveX, uint128 reserveY);

    function getActiveId() external view returns (uint24 activeId);

    function getBin(uint24 id) external view returns (uint128 binReserveX, uint128 binReserveY);

    function getNextNonEmptyBin(bool swapForY, uint24 id) external view returns (uint24 nextId);

    function getProtocolFees() external view returns (uint128 protocolFeeX, uint128 protocolFeeY);

    function getStaticFeeParameters()
        external
        view
        returns (
            uint16 baseFactor,
            uint16 filterPeriod,
            uint16 decayPeriod,
            uint16 reductionFactor,
            uint24 variableFeeControl,
            uint16 protocolShare,
            uint24 maxVolatilityAccumulator
        );

    function getVariableFeeParameters()
        external
        view
        returns (uint24 volatilityAccumulator, uint24 volatilityReference, uint24 idReference, uint40 timeOfLastUpdate);

    function getOracleParameters()
        external
        view
        returns (uint8 sampleLifetime, uint16 size, uint16 activeSize, uint40 lastUpdated, uint40 firstTimestamp);

    function getOracleSampleAt(uint40 lookupTimestamp)
        external
        view
        returns (uint64 cumulativeId, uint64 cumulativeVolatility, uint64 cumulativeBinCrossed);

    function getPriceFromId(uint24 id) external view returns (uint256 price);

    function getIdFromPrice(uint256 price) external view returns (uint24 id);

    function getSwapIn(uint128 amountOut, bool swapForY)
        external
        view
        returns (uint128 amountIn, uint128 amountOutLeft, uint128 fee);

    function getSwapOut(uint128 amountIn, bool swapForY)
        external
        view
        returns (uint128 amountInLeft, uint128 amountOut, uint128 fee);

    function swap(bool swapForY, address to) external returns (bytes32 amountsOut);

    function flashLoan(ILBFlashLoanCallback receiver, bytes32 amounts, bytes calldata data) external;

    function mint(address to, bytes32[] calldata liquidityConfigs, address refundTo)
        external
        returns (bytes32 amountsReceived, bytes32 amountsLeft, uint256[] memory liquidityMinted);

    function burn(address from, address to, uint256[] calldata ids, uint256[] calldata amountsToBurn)
        external
        returns (bytes32[] memory amounts);

    function collectProtocolFees() external returns (bytes32 collectedProtocolFees);

    function increaseOracleLength(uint16 newLength) external;

    function setStaticFeeParameters(
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator
    ) external;

    function forceDecay() external;
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.10;

import {ILBToken} from "./interfaces/ILBToken.sol";

/**
 * @title Liquidity Book Token
 * @author Trader Joe
 * @notice The LBToken is an implementation of a multi-token.
 * It allows to create multi-ERC20 represented by their ids.
 * Its implementation is really similar to the ERC1155 standard the main difference
 * is that it doesn't do any call to the receiver contract to prevent reentrancy.
 * As it's only for ERC20s, the uri function is not implemented.
 * The contract is made for batch operations.
 */
abstract contract LBToken is ILBToken {
    /**
     * @dev The mapping from account to token id to account balance.
     */
    mapping(address => mapping(uint256 => uint256)) private _balances;

    /**
     * @dev The mapping from token id to total supply.
     */
    mapping(uint256 => uint256) private _totalSupplies;

    /**
     * @dev Mapping from account to spender approvals.
     */
    mapping(address => mapping(address => bool)) private _spenderApprovals;

    /**
     * @dev Modifier to check if the spender is approved for all.
     */
    modifier checkApproval(address from, address spender) {
        if (!_isApprovedForAll(from, spender)) revert LBToken__SpenderNotApproved(from, spender);
        _;
    }

    /**
     * @dev Modifier to check if the address is not zero or the contract itself.
     */
    modifier notAddressZeroOrThis(address account) {
        if (account == address(0) || account == address(this)) revert LBToken__AddressThisOrZero();
        _;
    }

    /**
     * @dev Modifier to check if the length of the arrays are equal.
     */
    modifier checkLength(uint256 lengthA, uint256 lengthB) {
        if (lengthA != lengthB) revert LBToken__InvalidLength();
        _;
    }

    /**
     * @notice Returns the name of the token.
     * @return The name of the token.
     */
    function name() public view virtual override returns (string memory) {
        return "Liquidity Book Token";
    }

    /**
     * @notice Returns the symbol of the token, usually a shorter version of the name.
     * @return The symbol of the token.
     */
    function symbol() public view virtual override returns (string memory) {
        return "LBT";
    }

    /**
     * @notice Returns the total supply of token of type `id`.
     * /**
     * @dev This is the amount of token of type `id` minted minus the amount burned.
     * @param id The token id.
     * @return The total supply of that token id.
     */
    function totalSupply(uint256 id) public view virtual override returns (uint256) {
        return _totalSupplies[id];
    }

    /**
     * @notice Returns the amount of tokens of type `id` owned by `account`.
     * @param account The address of the owner.
     * @param id The token id.
     * @return The amount of tokens of type `id` owned by `account`.
     */
    function balanceOf(address account, uint256 id) public view virtual override returns (uint256) {
        return _balances[account][id];
    }

    /**
     * @notice Return the balance of multiple (account/id) pairs.
     * @param accounts The addresses of the owners.
     * @param ids The token ids.
     * @return batchBalances The balance for each (account, id) pair.
     */
    function balanceOfBatch(address[] calldata accounts, uint256[] calldata ids)
        public
        view
        virtual
        override
        checkLength(accounts.length, ids.length)
        returns (uint256[] memory batchBalances)
    {
        batchBalances = new uint256[](accounts.length);

        unchecked {
            for (uint256 i; i < accounts.length; ++i) {
                batchBalances[i] = balanceOf(accounts[i], ids[i]);
            }
        }
    }

    /**
     * @notice Returns true if `spender` is approved to transfer `owner`'s tokens or if `spender` is the `owner`.
     * @param owner The address of the owner.
     * @param spender The address of the spender.
     * @return True if `spender` is approved to transfer `owner`'s tokens.
     */
    function isApprovedForAll(address owner, address spender) public view virtual override returns (bool) {
        return _isApprovedForAll(owner, spender);
    }

    /**
     * @notice Grants or revokes permission to `spender` to transfer the caller's lbTokens, according to `approved`.
     * @param spender The address of the spender.
     * @param approved The boolean value to grant or revoke permission.
     */
    function approveForAll(address spender, bool approved) public virtual override {
        _approveForAll(msg.sender, spender, approved);
    }

    /**
     * @notice Batch transfers `amounts` of `ids` from `from` to `to`.
     * @param from The address of the owner.
     * @param to The address of the recipient.
     * @param ids The list of token ids.
     * @param amounts The list of amounts to transfer for each token id in `ids`.
     */
    function batchTransferFrom(address from, address to, uint256[] calldata ids, uint256[] calldata amounts)
        public
        virtual
        override
        checkApproval(from, msg.sender)
    {
        _batchTransferFrom(from, to, ids, amounts);
    }

    /**
     * @notice Returns true if `spender` is approved to transfer `owner`'s tokens or if `spender` is the `owner`.
     * @param owner The address of the owner.
     * @param spender The address of the spender.
     * @return True if `spender` is approved to transfer `owner`'s tokens.
     */
    function _isApprovedForAll(address owner, address spender) internal view returns (bool) {
        return owner == spender || _spenderApprovals[owner][spender];
    }

    /**
     * @dev Mint `amount` of `id` to `account`.
     * The `account` must not be the zero address.
     * The event should be emitted by the contract that inherits this contract.
     * @param account The address of the owner.
     * @param id The token id.
     * @param amount The amount to mint.
     */
    function _mint(address account, uint256 id, uint256 amount) internal {
        _totalSupplies[id] += amount;

        unchecked {
            _balances[account][id] += amount;
        }
    }

    /**
     * @dev Burn `amount` of `id` from `account`.
     * The `account` must not be the zero address.
     * The event should be emitted by the contract that inherits this contract.
     * @param account The address of the owner.
     * @param id The token id.
     * @param amount The amount to burn.
     */
    function _burn(address account, uint256 id, uint256 amount) internal {
        mapping(uint256 => uint256) storage accountBalances = _balances[account];

        uint256 balance = accountBalances[id];
        if (balance < amount) revert LBToken__BurnExceedsBalance(account, id, amount);

        unchecked {
            _totalSupplies[id] -= amount;
            accountBalances[id] = balance - amount;
        }
    }

    /**
     * @dev Batch transfers `amounts` of `ids` from `from` to `to`.
     * The `to` must not be the zero address and the `ids` and `amounts` must have the same length.
     * @param from The address of the owner.
     * @param to The address of the recipient.
     * @param ids The list of token ids.
     * @param amounts The list of amounts to transfer for each token id in `ids`.
     */
    function _batchTransferFrom(address from, address to, uint256[] calldata ids, uint256[] calldata amounts)
        internal
        checkLength(ids.length, amounts.length)
        notAddressZeroOrThis(to)
    {
        mapping(uint256 => uint256) storage fromBalances = _balances[from];
        mapping(uint256 => uint256) storage toBalances = _balances[to];

        for (uint256 i; i < ids.length;) {
            uint256 id = ids[i];
            uint256 amount = amounts[i];

            uint256 fromBalance = fromBalances[id];
            if (fromBalance < amount) revert LBToken__TransferExceedsBalance(from, id, amount);

            unchecked {
                fromBalances[id] = fromBalance - amount;
                toBalances[id] += amount;

                ++i;
            }
        }

        emit TransferBatch(msg.sender, from, to, ids, amounts);
    }

    /**
     * @notice Grants or revokes permission to `spender` to transfer the caller's tokens, according to `approved`
     * @param owner The address of the owner
     * @param spender The address of the spender
     * @param approved The boolean value to grant or revoke permission
     */
    function _approveForAll(address owner, address spender, bool approved) internal notAddressZeroOrThis(owner) {
        if (owner == spender) revert LBToken__SelfApproval(owner);

        _spenderApprovals[owner][spender] = approved;
        emit ApprovalForAll(owner, spender, approved);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {SampleMath} from "./math/SampleMath.sol";
import {SafeCast} from "./math/SafeCast.sol";
import {PairParameterHelper} from "./PairParameterHelper.sol";

/**
 * @title Liquidity Book Oracle Helper Library
 * @author Trader Joe
 * @notice This library contains functions to manage the oracle
 * The oracle samples are stored in a single bytes32 array.
 * Each sample is encoded as follows:
 * 0 - 16: oracle length (16 bits)
 * 16 - 80: cumulative id (64 bits)
 * 80 - 144: cumulative volatility accumulator (64 bits)
 * 144 - 208: cumulative bin crossed (64 bits)
 * 208 - 216: sample lifetime (8 bits)
 * 216 - 256: sample creation timestamp (40 bits)
 */
library OracleHelper {
    using SampleMath for bytes32;
    using SafeCast for uint256;
    using PairParameterHelper for bytes32;

    error OracleHelper__InvalidOracleId();
    error OracleHelper__NewLengthTooSmall();
    error OracleHelper__LookUpTimestampTooOld();

    struct Oracle {
        bytes32[65535] samples;
    }

    uint256 internal constant _MAX_SAMPLE_LIFETIME = 120 seconds;

    /**
     * @dev Modifier to check that the oracle id is valid
     * @param oracleId The oracle id
     */
    modifier checkOracleId(uint16 oracleId) {
        if (oracleId == 0) revert OracleHelper__InvalidOracleId();
        _;
    }

    /**
     * @dev Returns the sample at the given oracleId
     * @param oracle The oracle
     * @param oracleId The oracle id
     * @return sample The sample
     */
    function getSample(Oracle storage oracle, uint16 oracleId)
        internal
        view
        checkOracleId(oracleId)
        returns (bytes32 sample)
    {
        unchecked {
            sample = oracle.samples[oracleId - 1];
        }
    }

    /**
     * @dev Returns the active sample and the active size of the oracle
     * @param oracle The oracle
     * @param oracleId The oracle id
     * @return activeSample The active sample
     * @return activeSize The active size of the oracle
     */
    function getActiveSampleAndSize(Oracle storage oracle, uint16 oracleId)
        internal
        view
        returns (bytes32 activeSample, uint16 activeSize)
    {
        activeSample = getSample(oracle, oracleId);
        activeSize = activeSample.getOracleLength();

        if (oracleId != activeSize) {
            activeSize = getSample(oracle, activeSize).getOracleLength();
            activeSize = oracleId > activeSize ? oracleId : activeSize;
        }
    }

    /**
     * @dev Returns the sample at the given timestamp. If the timestamp is not in the oracle, it returns the closest sample
     * @param oracle The oracle
     * @param oracleId The oracle id
     * @param lookUpTimestamp The timestamp to look up
     * @return lastUpdate The last update timestamp
     * @return cumulativeId The cumulative id
     * @return cumulativeVolatility The cumulative volatility
     * @return cumulativeBinCrossed The cumulative bin crossed
     */
    function getSampleAt(Oracle storage oracle, uint16 oracleId, uint40 lookUpTimestamp)
        internal
        view
        returns (uint40 lastUpdate, uint64 cumulativeId, uint64 cumulativeVolatility, uint64 cumulativeBinCrossed)
    {
        (bytes32 activeSample, uint16 activeSize) = getActiveSampleAndSize(oracle, oracleId);

        if (oracle.samples[oracleId % activeSize].getSampleLastUpdate() > lookUpTimestamp) {
            revert OracleHelper__LookUpTimestampTooOld();
        }

        lastUpdate = activeSample.getSampleLastUpdate();
        if (lastUpdate <= lookUpTimestamp) {
            return (
                lastUpdate,
                activeSample.getCumulativeId(),
                activeSample.getCumulativeVolatility(),
                activeSample.getCumulativeBinCrossed()
            );
        } else {
            lastUpdate = lookUpTimestamp;
        }
        (bytes32 prevSample, bytes32 nextSample) = binarySearch(oracle, oracleId, lookUpTimestamp, activeSize);
        uint40 weightPrev = nextSample.getSampleLastUpdate() - lookUpTimestamp;
        uint40 weightNext = lookUpTimestamp - prevSample.getSampleLastUpdate();

        (cumulativeId, cumulativeVolatility, cumulativeBinCrossed) =
            prevSample.getWeightedAverage(nextSample, weightPrev, weightNext);
    }

    /**
     * @dev Binary search to find the 2 samples surrounding the given timestamp
     * @param oracle The oracle
     * @param oracleId The oracle id
     * @param lookUpTimestamp The timestamp to look up
     * @param length The oracle length
     * @return prevSample The previous sample
     * @return nextSample The next sample
     */
    function binarySearch(Oracle storage oracle, uint16 oracleId, uint40 lookUpTimestamp, uint16 length)
        internal
        view
        returns (bytes32, bytes32)
    {
        uint256 low = 0;
        uint256 high = length - 1;

        bytes32 sample;
        uint40 sampleLastUpdate;

        uint256 startId = oracleId; // oracleId is 1-based
        while (low <= high) {
            uint256 mid = (low + high) >> 1;

            assembly {
                oracleId := addmod(startId, mid, length)
            }

            sample = oracle.samples[oracleId];
            sampleLastUpdate = sample.getSampleLastUpdate();

            if (sampleLastUpdate > lookUpTimestamp) {
                high = mid - 1;
            } else if (sampleLastUpdate < lookUpTimestamp) {
                low = mid + 1;
            } else {
                return (sample, sample);
            }
        }

        if (lookUpTimestamp < sampleLastUpdate) {
            unchecked {
                if (oracleId == 0) {
                    oracleId = length;
                }

                return (oracle.samples[oracleId - 1], sample);
            }
        } else {
            assembly {
                oracleId := addmod(oracleId, 1, length)
            }

            return (sample, oracle.samples[oracleId]);
        }
    }

    /**
     * @dev Sets the sample at the given oracleId
     * @param oracle The oracle
     * @param oracleId The oracle id
     * @param sample The sample
     */
    function setSample(Oracle storage oracle, uint16 oracleId, bytes32 sample) internal checkOracleId(oracleId) {
        unchecked {
            oracle.samples[oracleId - 1] = sample;
        }
    }

    /**
     * @dev Updates the oracle
     * @param oracle The oracle
     * @param parameters The parameters
     * @param activeId The active id
     * @return The updated parameters
     */
    function update(Oracle storage oracle, bytes32 parameters, uint24 activeId) internal returns (bytes32) {
        uint16 oracleId = parameters.getOracleId();
        if (oracleId == 0) return parameters;

        bytes32 sample = getSample(oracle, oracleId);

        uint40 createdAt = sample.getSampleCreation();
        uint40 lastUpdatedAt = createdAt + sample.getSampleLifetime();

        if (block.timestamp.safe40() > lastUpdatedAt) {
            unchecked {
                (uint64 cumulativeId, uint64 cumulativeVolatility, uint64 cumulativeBinCrossed) = sample.update(
                    uint40(block.timestamp - lastUpdatedAt),
                    activeId,
                    parameters.getVolatilityAccumulator(),
                    parameters.getDeltaId(activeId)
                );

                uint16 length = sample.getOracleLength();
                uint256 lifetime = block.timestamp - createdAt;

                if (lifetime > _MAX_SAMPLE_LIFETIME) {
                    assembly {
                        oracleId := add(mod(oracleId, length), 1)
                    }

                    lifetime = 0;
                    createdAt = uint40(block.timestamp);

                    parameters = parameters.setOracleId(oracleId);
                }

                sample = SampleMath.encode(
                    length, cumulativeId, cumulativeVolatility, cumulativeBinCrossed, uint8(lifetime), createdAt
                );
            }

            setSample(oracle, oracleId, sample);
        }

        return parameters;
    }

    /**
     * @dev Increases the oracle length
     * @param oracle The oracle
     * @param oracleId The oracle id
     * @param newLength The new length
     */
    function increaseLength(Oracle storage oracle, uint16 oracleId, uint16 newLength) internal {
        bytes32 sample = getSample(oracle, oracleId);
        uint16 length = sample.getOracleLength();

        if (length >= newLength) revert OracleHelper__NewLengthTooSmall();

        bytes32 lastSample = length == oracleId ? sample : length == 0 ? bytes32(0) : getSample(oracle, length);

        uint256 activeSize = lastSample.getOracleLength();
        activeSize = oracleId > activeSize ? oracleId : activeSize;

        for (uint256 i = length; i < newLength;) {
            oracle.samples[i] = bytes32(uint256(activeSize));

            unchecked {
                ++i;
            }
        }

        setSample(oracle, oracleId, (sample ^ bytes32(uint256(length))) | bytes32(uint256(newLength)));
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

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

/**
 * @title Liquidity Book Packed Uint128 Math Library
 * @author Trader Joe
 * @notice This library contains functions to encode and decode two uint128 into a single bytes32
 * and interact with the encoded bytes32.
 */
library PackedUint128Math {
    error PackedUint128Math__AddOverflow();
    error PackedUint128Math__SubUnderflow();
    error PackedUint128Math__MultiplierTooLarge();

    uint256 private constant OFFSET = 128;
    uint256 private constant MASK_128 = 0xffffffffffffffffffffffffffffffff;
    uint256 private constant MASK_128_PLUS_ONE = MASK_128 + 1;

    /**
     * @dev Encodes two uint128 into a single bytes32
     * @param x1 The first uint128
     * @param x2 The second uint128
     * @return z The encoded bytes32 as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     */
    function encode(uint128 x1, uint128 x2) internal pure returns (bytes32 z) {
        assembly {
            z := or(and(x1, MASK_128), shl(OFFSET, x2))
        }
    }

    /**
     * @dev Encodes a uint128 into a single bytes32 as the first uint128
     * @param x1 The uint128
     * @return z The encoded bytes32 as follows:
     * [0 - 128[: x1
     * [128 - 256[: empty
     */
    function encodeFirst(uint128 x1) internal pure returns (bytes32 z) {
        assembly {
            z := and(x1, MASK_128)
        }
    }

    /**
     * @dev Encodes a uint128 into a single bytes32 as the second uint128
     * @param x2 The uint128
     * @return z The encoded bytes32 as follows:
     * [0 - 128[: empty
     * [128 - 256[: x2
     */
    function encodeSecond(uint128 x2) internal pure returns (bytes32 z) {
        assembly {
            z := shl(OFFSET, x2)
        }
    }

    /**
     * @dev Encodes a uint128 into a single bytes32 as the first or second uint128
     * @param x The uint128
     * @param first Whether to encode as the first or second uint128
     * @return z The encoded bytes32 as follows:
     * if first:
     * [0 - 128[: x
     * [128 - 256[: empty
     * else:
     * [0 - 128[: empty
     * [128 - 256[: x
     */
    function encode(uint128 x, bool first) internal pure returns (bytes32 z) {
        return first ? encodeFirst(x) : encodeSecond(x);
    }

    /**
     * @dev Decodes a bytes32 into two uint128
     * @param z The encoded bytes32 as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @return x1 The first uint128
     * @return x2 The second uint128
     */
    function decode(bytes32 z) internal pure returns (uint128 x1, uint128 x2) {
        assembly {
            x1 := and(z, MASK_128)
            x2 := shr(OFFSET, z)
        }
    }

    /**
     * @dev Decodes a bytes32 into a uint128 as the first uint128
     * @param z The encoded bytes32 as follows:
     * [0 - 128[: x
     * [128 - 256[: any
     * @return x The first uint128
     */
    function decodeX(bytes32 z) internal pure returns (uint128 x) {
        assembly {
            x := and(z, MASK_128)
        }
    }

    /**
     * @dev Decodes a bytes32 into a uint128 as the second uint128
     * @param z The encoded bytes32 as follows:
     * [0 - 128[: any
     * [128 - 256[: y
     * @return y The second uint128
     */
    function decodeY(bytes32 z) internal pure returns (uint128 y) {
        assembly {
            y := shr(OFFSET, z)
        }
    }

    /**
     * @dev Decodes a bytes32 into a uint128 as the first or second uint128
     * @param z The encoded bytes32 as follows:
     * if first:
     * [0 - 128[: x1
     * [128 - 256[: empty
     * else:
     * [0 - 128[: empty
     * [128 - 256[: x2
     * @param first Whether to decode as the first or second uint128
     * @return x The decoded uint128
     */
    function decode(bytes32 z, bool first) internal pure returns (uint128 x) {
        return first ? decodeX(z) : decodeY(z);
    }

    /**
     * @dev Adds two encoded bytes32, reverting on overflow on any of the uint128
     * @param x The first bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param y The second bytes32 encoded as follows:
     * [0 - 128[: y1
     * [128 - 256[: y2
     * @return z The sum of x and y encoded as follows:
     * [0 - 128[: x1 + y1
     * [128 - 256[: x2 + y2
     */
    function add(bytes32 x, bytes32 y) internal pure returns (bytes32 z) {
        assembly {
            z := add(x, y)
        }

        if (z < x || uint128(uint256(z)) < uint128(uint256(x))) {
            revert PackedUint128Math__AddOverflow();
        }
    }

    /**
     * @dev Adds an encoded bytes32 and two uint128, reverting on overflow on any of the uint128
     * @param x The bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param y1 The first uint128
     * @param y2 The second uint128
     * @return z The sum of x and y encoded as follows:
     * [0 - 128[: x1 + y1
     * [128 - 256[: x2 + y2
     */
    function add(bytes32 x, uint128 y1, uint128 y2) internal pure returns (bytes32) {
        return add(x, encode(y1, y2));
    }

    /**
     * @dev Subtracts two encoded bytes32, reverting on underflow on any of the uint128
     * @param x The first bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param y The second bytes32 encoded as follows:
     * [0 - 128[: y1
     * [128 - 256[: y2
     * @return z The difference of x and y encoded as follows:
     * [0 - 128[: x1 - y1
     * [128 - 256[: x2 - y2
     */
    function sub(bytes32 x, bytes32 y) internal pure returns (bytes32 z) {
        assembly {
            z := sub(x, y)
        }

        if (z > x || uint128(uint256(z)) > uint128(uint256(x))) {
            revert PackedUint128Math__SubUnderflow();
        }
    }

    /**
     * @dev Subtracts an encoded bytes32 and two uint128, reverting on underflow on any of the uint128
     * @param x The bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param y1 The first uint128
     * @param y2 The second uint128
     * @return z The difference of x and y encoded as follows:
     * [0 - 128[: x1 - y1
     * [128 - 256[: x2 - y2
     */
    function sub(bytes32 x, uint128 y1, uint128 y2) internal pure returns (bytes32) {
        return sub(x, encode(y1, y2));
    }

    /**
     * @dev Returns whether any of the uint128 of x is strictly greater than the corresponding uint128 of y
     * @param x The first bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param y The second bytes32 encoded as follows:
     * [0 - 128[: y1
     * [128 - 256[: y2
     * @return x1 < y1 || x2 < y2
     */
    function lt(bytes32 x, bytes32 y) internal pure returns (bool) {
        (uint128 x1, uint128 x2) = decode(x);
        (uint128 y1, uint128 y2) = decode(y);

        return x1 < y1 || x2 < y2;
    }

    /**
     * @dev Returns whether any of the uint128 of x is strictly greater than the corresponding uint128 of y
     * @param x The first bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param y The second bytes32 encoded as follows:
     * [0 - 128[: y1
     * [128 - 256[: y2
     * @return x1 < y1 || x2 < y2
     */
    function gt(bytes32 x, bytes32 y) internal pure returns (bool) {
        (uint128 x1, uint128 x2) = decode(x);
        (uint128 y1, uint128 y2) = decode(y);

        return x1 > y1 || x2 > y2;
    }

    /**
     * @dev Multiplies an encoded bytes32 by a uint128 then divides the result by 10_000, rounding down
     * The result can't overflow as the multiplier needs to be smaller or equal to 10_000
     * @param x The bytes32 encoded as follows:
     * [0 - 128[: x1
     * [128 - 256[: x2
     * @param multiplier The uint128 to multiply by (must be smaller or equal to 10_000)
     * @return z The product of x and multiplier encoded as follows:
     * [0 - 128[: floor((x1 * multiplier) / 10_000)
     * [128 - 256[: floor((x2 * multiplier) / 10_000)
     */
    function scalarMulDivBasisPointRoundDown(bytes32 x, uint128 multiplier) internal pure returns (bytes32 z) {
        if (multiplier == 0) return 0;

        uint256 BASIS_POINT_MAX = Constants.BASIS_POINT_MAX;
        if (multiplier > BASIS_POINT_MAX) revert PackedUint128Math__MultiplierTooLarge();

        (uint128 x1, uint128 x2) = decode(x);

        assembly {
            x1 := div(mul(x1, multiplier), BASIS_POINT_MAX)
            x2 := div(mul(x2, multiplier), BASIS_POINT_MAX)
        }

        return encode(x1, x2);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {Constants} from "./Constants.sol";
import {SafeCast} from "./math/SafeCast.sol";
import {Encoded} from "./math/Encoded.sol";

/**
 * @title Liquidity Book Pair Parameter Helper Library
 * @author Trader Joe
 * @dev This library contains functions to get and set parameters of a pair
 * The parameters are stored in a single bytes32 variable in the following format:
 * [0 - 16[: base factor (16 bits)
 * [16 - 28[: filter period (12 bits)
 * [28 - 40[: decay period (12 bits)
 * [40 - 54[: reduction factor (14 bits)
 * [54 - 78[: variable fee control (24 bits)
 * [78 - 92[: protocol share (14 bits)
 * [92 - 112[: max volatility accumulator (20 bits)
 * [112 - 132[: volatility accumulator (20 bits)
 * [132 - 152[: volatility reference (20 bits)
 * [152 - 176[: index reference (24 bits)
 * [176 - 216[: time of last update (40 bits)
 * [216 - 232[: oracle index (16 bits)
 * [232 - 256[: active index (24 bits)
 */
library PairParameterHelper {
    using SafeCast for uint256;
    using Encoded for bytes32;

    error PairParametersHelper__InvalidParameter();

    uint256 internal constant OFFSET_BASE_FACTOR = 0;
    uint256 internal constant OFFSET_FILTER_PERIOD = 16;
    uint256 internal constant OFFSET_DECAY_PERIOD = 28;
    uint256 internal constant OFFSET_REDUCTION_FACTOR = 40;
    uint256 internal constant OFFSET_VAR_FEE_CONTROL = 54;
    uint256 internal constant OFFSET_PROTOCOL_SHARE = 78;
    uint256 internal constant OFFSET_MAX_VOL_ACC = 92;
    uint256 internal constant OFFSET_VOL_ACC = 112;
    uint256 internal constant OFFSET_VOL_REF = 132;
    uint256 internal constant OFFSET_ID_REF = 152;
    uint256 internal constant OFFSET_TIME_LAST_UPDATE = 176;
    uint256 internal constant OFFSET_ORACLE_ID = 216;
    uint256 internal constant OFFSET_ACTIVE_ID = 232;

    uint256 internal constant MASK_STATIC_PARAMETER = 0xffffffffffffffffffffffffffff;

    /**
     * @dev Get the base factor from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 16[: base factor (16 bits)
     * [16 - 256[: other parameters
     * @return baseFactor The base factor
     */
    function getBaseFactor(bytes32 params) internal pure returns (uint16 baseFactor) {
        baseFactor = params.decodeUint16(OFFSET_BASE_FACTOR);
    }

    /**
     * @dev Get the filter period from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 16[: other parameters
     * [16 - 28[: filter period (12 bits)
     * [28 - 256[: other parameters
     * @return filterPeriod The filter period
     */
    function getFilterPeriod(bytes32 params) internal pure returns (uint16 filterPeriod) {
        filterPeriod = params.decodeUint12(OFFSET_FILTER_PERIOD);
    }

    /**
     * @dev Get the decay period from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 28[: other parameters
     * [28 - 40[: decay period (12 bits)
     * [40 - 256[: other parameters
     * @return decayPeriod The decay period
     */
    function getDecayPeriod(bytes32 params) internal pure returns (uint16 decayPeriod) {
        decayPeriod = params.decodeUint12(OFFSET_DECAY_PERIOD);
    }

    /**
     * @dev Get the reduction factor from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 40[: other parameters
     * [40 - 54[: reduction factor (14 bits)
     * [54 - 256[: other parameters
     * @return reductionFactor The reduction factor
     */
    function getReductionFactor(bytes32 params) internal pure returns (uint16 reductionFactor) {
        reductionFactor = params.decodeUint14(OFFSET_REDUCTION_FACTOR);
    }

    /**
     * @dev Get the variable fee control from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 54[: other parameters
     * [54 - 78[: variable fee control (24 bits)
     * [78 - 256[: other parameters
     * @return variableFeeControl The variable fee control
     */
    function getVariableFeeControl(bytes32 params) internal pure returns (uint24 variableFeeControl) {
        variableFeeControl = params.decodeUint24(OFFSET_VAR_FEE_CONTROL);
    }

    /**
     * @dev Get the protocol share from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 78[: other parameters
     * [78 - 92[: protocol share (14 bits)
     * [92 - 256[: other parameters
     * @return protocolShare The protocol share
     */
    function getProtocolShare(bytes32 params) internal pure returns (uint16 protocolShare) {
        protocolShare = params.decodeUint14(OFFSET_PROTOCOL_SHARE);
    }

    /**
     * @dev Get the max volatility accumulator from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 92[: other parameters
     * [92 - 112[: max volatility accumulator (20 bits)
     * [112 - 256[: other parameters
     * @return maxVolatilityAccumulator The max volatility accumulator
     */
    function getMaxVolatilityAccumulator(bytes32 params) internal pure returns (uint24 maxVolatilityAccumulator) {
        maxVolatilityAccumulator = params.decodeUint20(OFFSET_MAX_VOL_ACC);
    }

    /**
     * @dev Get the volatility accumulator from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 112[: other parameters
     * [112 - 132[: volatility accumulator (20 bits)
     * [132 - 256[: other parameters
     * @return volatilityAccumulator The volatility accumulator
     */
    function getVolatilityAccumulator(bytes32 params) internal pure returns (uint24 volatilityAccumulator) {
        volatilityAccumulator = params.decodeUint20(OFFSET_VOL_ACC);
    }

    /**
     * @dev Get the volatility reference from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 132[: other parameters
     * [132 - 152[: volatility reference (20 bits)
     * [152 - 256[: other parameters
     * @return volatilityReference The volatility reference
     */
    function getVolatilityReference(bytes32 params) internal pure returns (uint24 volatilityReference) {
        volatilityReference = params.decodeUint20(OFFSET_VOL_REF);
    }

    /**
     * @dev Get the index reference from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 152[: other parameters
     * [152 - 176[: index reference (24 bits)
     * [176 - 256[: other parameters
     * @return idReference The index reference
     */
    function getIdReference(bytes32 params) internal pure returns (uint24 idReference) {
        idReference = params.decodeUint24(OFFSET_ID_REF);
    }

    /**
     * @dev Get the time of last update from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 176[: other parameters
     * [176 - 216[: time of last update (40 bits)
     * [216 - 256[: other parameters
     * @return timeOflastUpdate The time of last update
     */
    function getTimeOfLastUpdate(bytes32 params) internal pure returns (uint40 timeOflastUpdate) {
        timeOflastUpdate = params.decodeUint40(OFFSET_TIME_LAST_UPDATE);
    }

    /**
     * @dev Get the oracle id from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 216[: other parameters
     * [216 - 232[: oracle id (16 bits)
     * [232 - 256[: other parameters
     * @return oracleId The oracle id
     */
    function getOracleId(bytes32 params) internal pure returns (uint16 oracleId) {
        oracleId = params.decodeUint16(OFFSET_ORACLE_ID);
    }

    /**
     * @dev Get the active index from the encoded pair parameters
     * @param params The encoded pair parameters, as follows:
     * [0 - 232[: other parameters
     * [232 - 256[: active index (24 bits)
     * @return activeId The active index
     */
    function getActiveId(bytes32 params) internal pure returns (uint24 activeId) {
        activeId = params.decodeUint24(OFFSET_ACTIVE_ID);
    }

    /**
     * @dev Get the delta between the current active index and the cached active index
     * @param params The encoded pair parameters, as follows:
     * [0 - 232[: other parameters
     * [232 - 256[: active index (24 bits)
     * @param activeId The current active index
     * @return The delta
     */
    function getDeltaId(bytes32 params, uint24 activeId) internal pure returns (uint24) {
        uint24 id = getActiveId(params);
        unchecked {
            return activeId > id ? activeId - id : id - activeId;
        }
    }

    /**
     * @dev Calculates the base fee, with 18 decimals
     * @param params The encoded pair parameters
     * @param binStep The bin step (in basis points)
     * @return baseFee The base fee
     */
    function getBaseFee(bytes32 params, uint16 binStep) internal pure returns (uint256) {
        unchecked {
            // Base factor is in basis points, binStep is in basis points, so we multiply by 1e10
            return uint256(getBaseFactor(params)) * binStep * 1e10;
        }
    }

    /**
     * @dev Calculates the variable fee
     * @param params The encoded pair parameters
     * @param binStep The bin step (in basis points)
     * @return variableFee The variable fee
     */
    function getVariableFee(bytes32 params, uint16 binStep) internal pure returns (uint256 variableFee) {
        uint256 variableFeeControl = getVariableFeeControl(params);

        if (variableFeeControl != 0) {
            unchecked {
                // The volatility accumulator is in basis points, binStep is in basis points,
                // and the variable fee control is in basis points, so the result is in 100e18th
                uint256 prod = uint256(getVolatilityAccumulator(params)) * binStep;
                variableFee = (prod * prod * variableFeeControl + 99) / 100;
            }
        }
    }

    /**
     * @dev Calculates the total fee, which is the sum of the base fee and the variable fee
     * @param params The encoded pair parameters
     * @param binStep The bin step (in basis points)
     * @return totalFee The total fee
     */
    function getTotalFee(bytes32 params, uint16 binStep) internal pure returns (uint128) {
        unchecked {
            return (getBaseFee(params, binStep) + getVariableFee(params, binStep)).safe128();
        }
    }

    /**
     * @dev Set the oracle id in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param oracleId The oracle id
     * @return The updated encoded pair parameters
     */
    function setOracleId(bytes32 params, uint16 oracleId) internal pure returns (bytes32) {
        return params.set(oracleId, Encoded.MASK_UINT16, OFFSET_ORACLE_ID);
    }

    /**
     * @dev Set the volatility reference in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param volRef The volatility reference
     * @return The updated encoded pair parameters
     */
    function setVolatilityReference(bytes32 params, uint24 volRef) internal pure returns (bytes32) {
        if (volRef > Encoded.MASK_UINT20) revert PairParametersHelper__InvalidParameter();

        return params.set(volRef, Encoded.MASK_UINT20, OFFSET_VOL_REF);
    }

    /**
     * @dev Set the volatility accumulator in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param volAcc The volatility accumulator
     * @return The updated encoded pair parameters
     */
    function setVolatilityAccumulator(bytes32 params, uint24 volAcc) internal pure returns (bytes32) {
        if (volAcc > Encoded.MASK_UINT20) revert PairParametersHelper__InvalidParameter();

        return params.set(volAcc, Encoded.MASK_UINT20, OFFSET_VOL_ACC);
    }

    /**
     * @dev Set the active id in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param activeId The active id
     * @return newParams The updated encoded pair parameters
     */
    function setActiveId(bytes32 params, uint24 activeId) internal pure returns (bytes32 newParams) {
        return params.set(activeId, Encoded.MASK_UINT24, OFFSET_ACTIVE_ID);
    }

    /**
     * @dev Sets the static fee parameters in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param baseFactor The base factor
     * @param filterPeriod The filter period
     * @param decayPeriod The decay period
     * @param reductionFactor The reduction factor
     * @param variableFeeControl The variable fee control
     * @param protocolShare The protocol share
     * @param maxVolatilityAccumulator The max volatility accumulator
     * @return newParams The updated encoded pair parameters
     */
    function setStaticFeeParameters(
        bytes32 params,
        uint16 baseFactor,
        uint16 filterPeriod,
        uint16 decayPeriod,
        uint16 reductionFactor,
        uint24 variableFeeControl,
        uint16 protocolShare,
        uint24 maxVolatilityAccumulator
    ) internal pure returns (bytes32 newParams) {
        if (
            filterPeriod > decayPeriod || decayPeriod > Encoded.MASK_UINT12
                || reductionFactor > Constants.BASIS_POINT_MAX || protocolShare > Constants.MAX_PROTOCOL_SHARE
                || maxVolatilityAccumulator > Encoded.MASK_UINT20
        ) revert PairParametersHelper__InvalidParameter();

        newParams = newParams.set(baseFactor, Encoded.MASK_UINT16, OFFSET_BASE_FACTOR);
        newParams = newParams.set(filterPeriod, Encoded.MASK_UINT12, OFFSET_FILTER_PERIOD);
        newParams = newParams.set(decayPeriod, Encoded.MASK_UINT12, OFFSET_DECAY_PERIOD);
        newParams = newParams.set(reductionFactor, Encoded.MASK_UINT14, OFFSET_REDUCTION_FACTOR);
        newParams = newParams.set(variableFeeControl, Encoded.MASK_UINT24, OFFSET_VAR_FEE_CONTROL);
        newParams = newParams.set(protocolShare, Encoded.MASK_UINT14, OFFSET_PROTOCOL_SHARE);
        newParams = newParams.set(maxVolatilityAccumulator, Encoded.MASK_UINT20, OFFSET_MAX_VOL_ACC);

        return params.set(uint256(newParams), MASK_STATIC_PARAMETER, 0);
    }

    /**
     * @dev Updates the index reference in the encoded pair parameters
     * @param params The encoded pair parameters
     * @return newParams The updated encoded pair parameters
     */
    function updateIdReference(bytes32 params) internal pure returns (bytes32 newParams) {
        uint24 activeId = getActiveId(params);
        return params.set(activeId, Encoded.MASK_UINT24, OFFSET_ID_REF);
    }

    /**
     * @dev Updates the time of last update in the encoded pair parameters
     * @param params The encoded pair parameters
     * @return newParams The updated encoded pair parameters
     */
    function updateTimeOfLastUpdate(bytes32 params) internal view returns (bytes32 newParams) {
        uint40 currentTime = block.timestamp.safe40();
        return params.set(currentTime, Encoded.MASK_UINT40, OFFSET_TIME_LAST_UPDATE);
    }

    /**
     * @dev Updates the volatility reference in the encoded pair parameters
     * @param params The encoded pair parameters
     * @return The updated encoded pair parameters
     */
    function updateVolatilityReference(bytes32 params) internal pure returns (bytes32) {
        uint256 volAcc = getVolatilityAccumulator(params);
        uint256 reductionFactor = getReductionFactor(params);

        uint24 volRef;
        unchecked {
            volRef = uint24(volAcc * reductionFactor / Constants.BASIS_POINT_MAX);
        }

        return setVolatilityReference(params, volRef);
    }

    /**
     * @dev Updates the volatility accumulator in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param activeId The active id
     * @return The updated encoded pair parameters
     */
    function updateVolatilityAccumulator(bytes32 params, uint24 activeId) internal pure returns (bytes32) {
        uint256 idReference = getIdReference(params);

        uint256 deltaId;
        uint256 volAcc;

        unchecked {
            deltaId = activeId > idReference ? activeId - idReference : idReference - activeId;
            volAcc = (uint256(getVolatilityReference(params)) + deltaId * Constants.BASIS_POINT_MAX);
        }

        uint256 maxVolAcc = getMaxVolatilityAccumulator(params);

        volAcc = volAcc > maxVolAcc ? maxVolAcc : volAcc;

        return setVolatilityAccumulator(params, uint24(volAcc));
    }

    /**
     * @dev Updates the volatility reference and the volatility accumulator in the encoded pair parameters
     * @param params The encoded pair parameters
     * @return The updated encoded pair parameters
     */
    function updateReferences(bytes32 params) internal view returns (bytes32) {
        uint256 dt = block.timestamp - getTimeOfLastUpdate(params);

        if (dt >= getFilterPeriod(params)) {
            params = updateIdReference(params);
            params = dt < getDecayPeriod(params) ? updateVolatilityReference(params) : setVolatilityReference(params, 0);
        }

        return updateTimeOfLastUpdate(params);
    }

    /**
     * @dev Updates the volatility reference and the volatility accumulator in the encoded pair parameters
     * @param params The encoded pair parameters
     * @param activeId The active id
     * @return The updated encoded pair parameters
     */
    function updateVolatilityParameters(bytes32 params, uint24 activeId) internal view returns (bytes32) {
        params = updateReferences(params);
        return updateVolatilityAccumulator(params, activeId);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {Uint128x128Math} from "./math/Uint128x128Math.sol";
import {Uint256x256Math} from "./math/Uint256x256Math.sol";
import {SafeCast} from "./math/SafeCast.sol";
import {Constants} from "./Constants.sol";

/**
 * @title Liquidity Book Price Helper Library
 * @author Trader Joe
 * @notice This library contains functions to calculate prices
 */
library PriceHelper {
    using Uint128x128Math for uint256;
    using Uint256x256Math for uint256;
    using SafeCast for uint256;

    int256 private constant REAL_ID_SHIFT = 1 << 23;

    /**
     * @dev Calculates the price from the id and the bin step
     * @param id The id
     * @param binStep The bin step
     * @return price The price as a 128.128-binary fixed-point number
     */
    function getPriceFromId(uint24 id, uint16 binStep) internal pure returns (uint256 price) {
        uint256 base = getBase(binStep);
        int256 exponent = getExponent(id);

        price = base.pow(exponent);
    }

    /**
     * @dev Calculates the id from the price and the bin step
     * @param price The price as a 128.128-binary fixed-point number
     * @param binStep The bin step
     * @return id The id
     */
    function getIdFromPrice(uint256 price, uint16 binStep) internal pure returns (uint24 id) {
        uint256 base = getBase(binStep);
        int256 realId = price.log2() / base.log2();

        unchecked {
            id = uint256(REAL_ID_SHIFT + realId).safe24();
        }
    }

    /**
     * @dev Calculates the base from the bin step, which is `1 + binStep / BASIS_POINT_MAX`
     * @param binStep The bin step
     * @return base The base
     */
    function getBase(uint16 binStep) internal pure returns (uint256) {
        unchecked {
            return Constants.SCALE + (uint256(binStep) << Constants.SCALE_OFFSET) / Constants.BASIS_POINT_MAX;
        }
    }

    /**
     * @dev Calculates the exponent from the id, which is `id - REAL_ID_SHIFT`
     * @param id The id
     * @return exponent The exponent
     */
    function getExponent(uint24 id) internal pure returns (int256) {
        unchecked {
            return int256(uint256(id)) - REAL_ID_SHIFT;
        }
    }

    /**
     * @dev Converts a price with 18 decimals to a 128.128-binary fixed-point number
     * @param price The price with 18 decimals
     * @return price128x128 The 128.128-binary fixed-point number
     */
    function convertDecimalPriceTo128x128(uint256 price) internal pure returns (uint256) {
        return price.shiftDivRoundDown(Constants.SCALE_OFFSET, Constants.PRECISION);
    }

    /**
     * @dev Converts a 128.128-binary fixed-point number to a price with 18 decimals
     * @param price128x128 The 128.128-binary fixed-point number
     * @return price The price with 18 decimals
     */
    function convert128x128PriceToDecimal(uint256 price128x128) internal pure returns (uint256) {
        return price128x128.mulShiftRoundDown(Constants.PRECISION, Constants.SCALE_OFFSET);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Reentrancy Guard Library
 * @author Trader Joe
 * @notice This library contains functions to prevent reentrant calls to a function
 */
abstract contract ReentrancyGuard {
    error ReentrancyGuard__ReentrantCall();

    /**
     * Booleans are more expensive than uint256 or any type that takes up a full
     * word because each write operation emits an extra SLOAD to first read the
     * slot's contents, replace the bits taken up by the boolean, and then write
     * back. This is the compiler's defense against contract upgrades and
     * pointer aliasing, and it cannot be disabled.
     *
     * The values being non-zero value makes deployment a bit more expensive,
     * but in exchange the refund on every call to nonReentrant will be lower in
     * amount. Since refunds are capped to a percentage of the total
     * transaction's gas, it is best to keep them low in cases like this one, to
     * increase the likelihood of the full refund coming into effect.
     */

    uint256 private constant _NOT_ENTERED = 1;
    uint256 private constant _ENTERED = 2;

    uint256 private _status;

    function __ReentrancyGuard_init() internal {
        __ReentrancyGuard_init_unchained();
    }

    function __ReentrancyGuard_init_unchained() internal {
        _status = _NOT_ENTERED;
    }

    /**
     * @dev Prevents a contract from calling itself, directly or indirectly.
     * Calling a `nonReentrant` function from another `nonReentrant`
     * function is not supported. It is possible to prevent this from happening
     * by making the `nonReentrant` function external, and making it call a
     * `private` function that does the actual work
     */
    modifier nonReentrant() {
        // On the first call to nonReentrant, _notEntered will be true
        if (_status != _NOT_ENTERED) revert ReentrancyGuard__ReentrantCall();

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

        _;

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

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Safe Cast Library
 * @author Trader Joe
 * @notice This library contains functions to safely cast uint256 to different uint types.
 */
library SafeCast {
    error SafeCast__Exceeds248Bits();
    error SafeCast__Exceeds240Bits();
    error SafeCast__Exceeds232Bits();
    error SafeCast__Exceeds224Bits();
    error SafeCast__Exceeds216Bits();
    error SafeCast__Exceeds208Bits();
    error SafeCast__Exceeds200Bits();
    error SafeCast__Exceeds192Bits();
    error SafeCast__Exceeds184Bits();
    error SafeCast__Exceeds176Bits();
    error SafeCast__Exceeds168Bits();
    error SafeCast__Exceeds160Bits();
    error SafeCast__Exceeds152Bits();
    error SafeCast__Exceeds144Bits();
    error SafeCast__Exceeds136Bits();
    error SafeCast__Exceeds128Bits();
    error SafeCast__Exceeds120Bits();
    error SafeCast__Exceeds112Bits();
    error SafeCast__Exceeds104Bits();
    error SafeCast__Exceeds96Bits();
    error SafeCast__Exceeds88Bits();
    error SafeCast__Exceeds80Bits();
    error SafeCast__Exceeds72Bits();
    error SafeCast__Exceeds64Bits();
    error SafeCast__Exceeds56Bits();
    error SafeCast__Exceeds48Bits();
    error SafeCast__Exceeds40Bits();
    error SafeCast__Exceeds32Bits();
    error SafeCast__Exceeds24Bits();
    error SafeCast__Exceeds16Bits();
    error SafeCast__Exceeds8Bits();

    /**
     * @dev Returns x on uint248 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint248
     */
    function safe248(uint256 x) internal pure returns (uint248 y) {
        if ((y = uint248(x)) != x) revert SafeCast__Exceeds248Bits();
    }

    /**
     * @dev Returns x on uint240 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint240
     */
    function safe240(uint256 x) internal pure returns (uint240 y) {
        if ((y = uint240(x)) != x) revert SafeCast__Exceeds240Bits();
    }

    /**
     * @dev Returns x on uint232 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint232
     */
    function safe232(uint256 x) internal pure returns (uint232 y) {
        if ((y = uint232(x)) != x) revert SafeCast__Exceeds232Bits();
    }

    /**
     * @dev Returns x on uint224 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint224
     */
    function safe224(uint256 x) internal pure returns (uint224 y) {
        if ((y = uint224(x)) != x) revert SafeCast__Exceeds224Bits();
    }

    /**
     * @dev Returns x on uint216 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint216
     */
    function safe216(uint256 x) internal pure returns (uint216 y) {
        if ((y = uint216(x)) != x) revert SafeCast__Exceeds216Bits();
    }

    /**
     * @dev Returns x on uint208 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint208
     */
    function safe208(uint256 x) internal pure returns (uint208 y) {
        if ((y = uint208(x)) != x) revert SafeCast__Exceeds208Bits();
    }

    /**
     * @dev Returns x on uint200 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint200
     */
    function safe200(uint256 x) internal pure returns (uint200 y) {
        if ((y = uint200(x)) != x) revert SafeCast__Exceeds200Bits();
    }

    /**
     * @dev Returns x on uint192 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint192
     */
    function safe192(uint256 x) internal pure returns (uint192 y) {
        if ((y = uint192(x)) != x) revert SafeCast__Exceeds192Bits();
    }

    /**
     * @dev Returns x on uint184 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint184
     */
    function safe184(uint256 x) internal pure returns (uint184 y) {
        if ((y = uint184(x)) != x) revert SafeCast__Exceeds184Bits();
    }

    /**
     * @dev Returns x on uint176 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint176
     */
    function safe176(uint256 x) internal pure returns (uint176 y) {
        if ((y = uint176(x)) != x) revert SafeCast__Exceeds176Bits();
    }

    /**
     * @dev Returns x on uint168 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint168
     */
    function safe168(uint256 x) internal pure returns (uint168 y) {
        if ((y = uint168(x)) != x) revert SafeCast__Exceeds168Bits();
    }

    /**
     * @dev Returns x on uint160 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint160
     */
    function safe160(uint256 x) internal pure returns (uint160 y) {
        if ((y = uint160(x)) != x) revert SafeCast__Exceeds160Bits();
    }

    /**
     * @dev Returns x on uint152 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint152
     */
    function safe152(uint256 x) internal pure returns (uint152 y) {
        if ((y = uint152(x)) != x) revert SafeCast__Exceeds152Bits();
    }

    /**
     * @dev Returns x on uint144 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint144
     */
    function safe144(uint256 x) internal pure returns (uint144 y) {
        if ((y = uint144(x)) != x) revert SafeCast__Exceeds144Bits();
    }

    /**
     * @dev Returns x on uint136 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint136
     */
    function safe136(uint256 x) internal pure returns (uint136 y) {
        if ((y = uint136(x)) != x) revert SafeCast__Exceeds136Bits();
    }

    /**
     * @dev Returns x on uint128 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint128
     */
    function safe128(uint256 x) internal pure returns (uint128 y) {
        if ((y = uint128(x)) != x) revert SafeCast__Exceeds128Bits();
    }

    /**
     * @dev Returns x on uint120 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint120
     */
    function safe120(uint256 x) internal pure returns (uint120 y) {
        if ((y = uint120(x)) != x) revert SafeCast__Exceeds120Bits();
    }

    /**
     * @dev Returns x on uint112 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint112
     */
    function safe112(uint256 x) internal pure returns (uint112 y) {
        if ((y = uint112(x)) != x) revert SafeCast__Exceeds112Bits();
    }

    /**
     * @dev Returns x on uint104 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint104
     */
    function safe104(uint256 x) internal pure returns (uint104 y) {
        if ((y = uint104(x)) != x) revert SafeCast__Exceeds104Bits();
    }

    /**
     * @dev Returns x on uint96 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint96
     */
    function safe96(uint256 x) internal pure returns (uint96 y) {
        if ((y = uint96(x)) != x) revert SafeCast__Exceeds96Bits();
    }

    /**
     * @dev Returns x on uint88 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint88
     */
    function safe88(uint256 x) internal pure returns (uint88 y) {
        if ((y = uint88(x)) != x) revert SafeCast__Exceeds88Bits();
    }

    /**
     * @dev Returns x on uint80 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint80
     */
    function safe80(uint256 x) internal pure returns (uint80 y) {
        if ((y = uint80(x)) != x) revert SafeCast__Exceeds80Bits();
    }

    /**
     * @dev Returns x on uint72 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint72
     */
    function safe72(uint256 x) internal pure returns (uint72 y) {
        if ((y = uint72(x)) != x) revert SafeCast__Exceeds72Bits();
    }

    /**
     * @dev Returns x on uint64 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint64
     */
    function safe64(uint256 x) internal pure returns (uint64 y) {
        if ((y = uint64(x)) != x) revert SafeCast__Exceeds64Bits();
    }

    /**
     * @dev Returns x on uint56 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint56
     */
    function safe56(uint256 x) internal pure returns (uint56 y) {
        if ((y = uint56(x)) != x) revert SafeCast__Exceeds56Bits();
    }

    /**
     * @dev Returns x on uint48 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint48
     */
    function safe48(uint256 x) internal pure returns (uint48 y) {
        if ((y = uint48(x)) != x) revert SafeCast__Exceeds48Bits();
    }

    /**
     * @dev Returns x on uint40 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint40
     */
    function safe40(uint256 x) internal pure returns (uint40 y) {
        if ((y = uint40(x)) != x) revert SafeCast__Exceeds40Bits();
    }

    /**
     * @dev Returns x on uint32 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint32
     */
    function safe32(uint256 x) internal pure returns (uint32 y) {
        if ((y = uint32(x)) != x) revert SafeCast__Exceeds32Bits();
    }

    /**
     * @dev Returns x on uint24 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint24
     */
    function safe24(uint256 x) internal pure returns (uint24 y) {
        if ((y = uint24(x)) != x) revert SafeCast__Exceeds24Bits();
    }

    /**
     * @dev Returns x on uint16 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint16
     */
    function safe16(uint256 x) internal pure returns (uint16 y) {
        if ((y = uint16(x)) != x) revert SafeCast__Exceeds16Bits();
    }

    /**
     * @dev Returns x on uint8 and check that it does not overflow
     * @param x The value as an uint256
     * @return y The value as an uint8
     */
    function safe8(uint256 x) internal pure returns (uint8 y) {
        if ((y = uint8(x)) != x) revert SafeCast__Exceeds8Bits();
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

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

/**
 * @title Liquidity Book Sample Math Library
 * @author Trader Joe
 * @notice This library contains functions to encode and decode a sample into a single bytes32
 * and interact with the encoded bytes32
 * The sample is encoded as follows:
 * 0 - 16: oracle length (16 bits)
 * 16 - 80: cumulative id (64 bits)
 * 80 - 144: cumulative volatility accumulator (64 bits)
 * 144 - 208: cumulative bin crossed (64 bits)
 * 208 - 216: sample lifetime (8 bits)
 * 216 - 256: sample creation timestamp (40 bits)
 */
library SampleMath {
    using Encoded for bytes32;

    uint256 internal constant OFFSET_ORACLE_LENGTH = 0;
    uint256 internal constant OFFSET_CUMULATIVE_ID = 16;
    uint256 internal constant OFFSET_CUMULATIVE_VOLATILITY = 80;
    uint256 internal constant OFFSET_CUMULATIVE_BIN_CROSSED = 144;
    uint256 internal constant OFFSET_SAMPLE_LIFETIME = 208;
    uint256 internal constant OFFSET_SAMPLE_CREATION = 216;

    /**
     * @dev Encodes a sample
     * @param oracleLength The oracle length
     * @param cumulativeId The cumulative id
     * @param cumulativeVolatility The cumulative volatility
     * @param cumulativeBinCrossed The cumulative bin crossed
     * @param sampleLifetime The sample lifetime
     * @param createdAt The sample creation timestamp
     * @return sample The encoded sample
     */
    function encode(
        uint16 oracleLength,
        uint64 cumulativeId,
        uint64 cumulativeVolatility,
        uint64 cumulativeBinCrossed,
        uint8 sampleLifetime,
        uint40 createdAt
    ) internal pure returns (bytes32 sample) {
        sample = sample.set(oracleLength, Encoded.MASK_UINT16, OFFSET_ORACLE_LENGTH);
        sample = sample.set(cumulativeId, Encoded.MASK_UINT64, OFFSET_CUMULATIVE_ID);
        sample = sample.set(cumulativeVolatility, Encoded.MASK_UINT64, OFFSET_CUMULATIVE_VOLATILITY);
        sample = sample.set(cumulativeBinCrossed, Encoded.MASK_UINT64, OFFSET_CUMULATIVE_BIN_CROSSED);
        sample = sample.set(sampleLifetime, Encoded.MASK_UINT8, OFFSET_SAMPLE_LIFETIME);
        sample = sample.set(createdAt, Encoded.MASK_UINT40, OFFSET_SAMPLE_CREATION);
    }

    /**
     * @dev Gets the oracle length from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 16[: oracle length (16 bits)
     * [16 - 256[: any (240 bits)
     * @return length The oracle length
     */
    function getOracleLength(bytes32 sample) internal pure returns (uint16 length) {
        return sample.decodeUint16(0);
    }

    /**
     * @dev Gets the cumulative id from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 16[: any (16 bits)
     * [16 - 80[: cumulative id (64 bits)
     * [80 - 256[: any (176 bits)
     * @return id The cumulative id
     */
    function getCumulativeId(bytes32 sample) internal pure returns (uint64 id) {
        return sample.decodeUint64(OFFSET_CUMULATIVE_ID);
    }

    /**
     * @dev Gets the cumulative volatility accumulator from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 80[: any (80 bits)
     * [80 - 144[: cumulative volatility accumulator (64 bits)
     * [144 - 256[: any (112 bits)
     * @return volatilityAccumulator The cumulative volatility
     */
    function getCumulativeVolatility(bytes32 sample) internal pure returns (uint64 volatilityAccumulator) {
        return sample.decodeUint64(OFFSET_CUMULATIVE_VOLATILITY);
    }

    /**
     * @dev Gets the cumulative bin crossed from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 144[: any (144 bits)
     * [144 - 208[: cumulative bin crossed (64 bits)
     * [208 - 256[: any (48 bits)
     * @return binCrossed The cumulative bin crossed
     */
    function getCumulativeBinCrossed(bytes32 sample) internal pure returns (uint64 binCrossed) {
        return sample.decodeUint64(OFFSET_CUMULATIVE_BIN_CROSSED);
    }

    /**
     * @dev Gets the sample lifetime from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 208[: any (208 bits)
     * [208 - 216[: sample lifetime (8 bits)
     * [216 - 256[: any (40 bits)
     * @return lifetime The sample lifetime
     */
    function getSampleLifetime(bytes32 sample) internal pure returns (uint8 lifetime) {
        return sample.decodeUint8(OFFSET_SAMPLE_LIFETIME);
    }

    /**
     * @dev Gets the sample creation timestamp from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 216[: any (216 bits)
     * [216 - 256[: sample creation timestamp (40 bits)
     * @return creation The sample creation timestamp
     */
    function getSampleCreation(bytes32 sample) internal pure returns (uint40 creation) {
        return sample.decodeUint40(OFFSET_SAMPLE_CREATION);
    }

    /**
     * @dev Gets the sample last update timestamp from an encoded sample
     * @param sample The encoded sample as follows:
     * [0 - 216[: any (216 bits)
     * [216 - 256[: sample creation timestamp (40 bits)
     * @return lastUpdate The sample last update timestamp
     */
    function getSampleLastUpdate(bytes32 sample) internal pure returns (uint40 lastUpdate) {
        lastUpdate = getSampleCreation(sample) + getSampleLifetime(sample);
    }

    /**
     * @dev Gets the weighted average of two samples and their respective weights
     * @param sample1 The first encoded sample
     * @param sample2 The second encoded sample
     * @param weight1 The weight of the first sample
     * @param weight2 The weight of the second sample
     * @return weightedAverageId The weighted average id
     * @return weightedAverageVolatility The weighted average volatility
     * @return weightedAverageBinCrossed The weighted average bin crossed
     */
    function getWeightedAverage(bytes32 sample1, bytes32 sample2, uint40 weight1, uint40 weight2)
        internal
        pure
        returns (uint64 weightedAverageId, uint64 weightedAverageVolatility, uint64 weightedAverageBinCrossed)
    {
        uint256 cId1 = getCumulativeId(sample1);
        uint256 cVolatility1 = getCumulativeVolatility(sample1);
        uint256 cBinCrossed1 = getCumulativeBinCrossed(sample1);

        if (weight2 == 0) return (uint64(cId1), uint64(cVolatility1), uint64(cBinCrossed1));

        uint256 cId2 = getCumulativeId(sample2);
        uint256 cVolatility2 = getCumulativeVolatility(sample2);
        uint256 cBinCrossed2 = getCumulativeBinCrossed(sample2);

        if (weight1 == 0) return (uint64(cId2), uint64(cVolatility2), uint64(cBinCrossed2));

        uint256 totalWeight = uint256(weight1) + weight2;

        unchecked {
            weightedAverageId = uint64((cId1 * weight1 + cId2 * weight2) / totalWeight);
            weightedAverageVolatility = uint64((cVolatility1 * weight1 + cVolatility2 * weight2) / totalWeight);
            weightedAverageBinCrossed = uint64((cBinCrossed1 * weight1 + cBinCrossed2 * weight2) / totalWeight);
        }
    }

    /**
     * @dev Updates a sample with the given values
     * @param sample The encoded sample
     * @param deltaTime The time elapsed since the last update
     * @param activeId The active id
     * @param volatilityAccumulator The volatility accumulator
     * @param binCrossed The bin crossed
     * @return cumulativeId The cumulative id
     * @return cumulativeVolatility The cumulative volatility
     * @return cumulativeBinCrossed The cumulative bin crossed
     */
    function update(bytes32 sample, uint40 deltaTime, uint24 activeId, uint24 volatilityAccumulator, uint24 binCrossed)
        internal
        pure
        returns (uint64 cumulativeId, uint64 cumulativeVolatility, uint64 cumulativeBinCrossed)
    {
        unchecked {
            cumulativeId = uint64(activeId) * deltaTime;
            cumulativeVolatility = uint64(volatilityAccumulator) * deltaTime;
            cumulativeBinCrossed = uint64(binCrossed) * deltaTime;
        }

        cumulativeId += getCumulativeId(sample);
        cumulativeVolatility += getCumulativeVolatility(sample);
        cumulativeBinCrossed += getCumulativeBinCrossed(sample);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

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

/**
 * @title Liquidity Book Tree Math Library
 * @author Trader Joe
 * @notice This library contains functions to interact with a tree of TreeUint24.
 */
library TreeMath {
    using BitMath for uint256;

    struct TreeUint24 {
        bytes32 level0;
        mapping(bytes32 => bytes32) level1;
        mapping(bytes32 => bytes32) level2;
    }

    /**
     * @dev Returns true if the tree contains the id
     * @param tree The tree
     * @param id The id
     * @return True if the tree contains the id
     */
    function contains(TreeUint24 storage tree, uint24 id) internal view returns (bool) {
        bytes32 leaf2 = bytes32(uint256(id) >> 8);

        return tree.level2[leaf2] & bytes32(1 << (id & type(uint8).max)) != 0;
    }

    /**
     * @dev Adds the id to the tree and returns true if the id was not already in the tree
     * It will also propagate the change to the parent levels.
     * @param tree The tree
     * @param id The id
     * @return True if the id was not already in the tree
     */
    function add(TreeUint24 storage tree, uint24 id) internal returns (bool) {
        bytes32 key2 = bytes32(uint256(id) >> 8);

        bytes32 leaves = tree.level2[key2];
        bytes32 newLeaves = leaves | bytes32(1 << (id & type(uint8).max));

        if (leaves != newLeaves) {
            tree.level2[key2] = newLeaves;

            if (leaves == 0) {
                bytes32 key1 = key2 >> 8;
                leaves = tree.level1[key1];

                tree.level1[key1] = leaves | bytes32(1 << (uint256(key2) & type(uint8).max));

                if (leaves == 0) tree.level0 |= bytes32(1 << (uint256(key1) & type(uint8).max));
            }

            return true;
        }

        return false;
    }

    /**
     * @dev Removes the id from the tree and returns true if the id was in the tree.
     * It will also propagate the change to the parent levels.
     * @param tree The tree
     * @param id The id
     * @return True if the id was in the tree
     */
    function remove(TreeUint24 storage tree, uint24 id) internal returns (bool) {
        bytes32 key2 = bytes32(uint256(id) >> 8);

        bytes32 leaves = tree.level2[key2];
        bytes32 newLeaves = leaves & ~bytes32(1 << (id & type(uint8).max));

        if (leaves != newLeaves) {
            tree.level2[key2] = newLeaves;

            if (newLeaves == 0) {
                bytes32 key1 = key2 >> 8;
                newLeaves = tree.level1[key1] & ~bytes32(1 << (uint256(key2) & type(uint8).max));

                tree.level1[key1] = newLeaves;

                if (newLeaves == 0) tree.level0 &= ~bytes32(1 << (uint256(key1) & type(uint8).max));
            }

            return true;
        }

        return false;
    }

    /**
     * @dev Returns the first id in the tree that is lower than or equal to the given id.
     * It will return type(uint24).max if there is no such id.
     * @param tree The tree
     * @param id The id
     * @return The first id in the tree that is lower than or equal to the given id
     */
    function findFirstRight(TreeUint24 storage tree, uint24 id) internal view returns (uint24) {
        bytes32 leaves;

        bytes32 key2 = bytes32(uint256(id) >> 8);
        uint8 bit = uint8(id & type(uint8).max);

        if (bit != 0) {
            leaves = tree.level2[key2];
            uint256 closestBit = _closestBitRight(leaves, bit);

            if (closestBit != type(uint256).max) return uint24(uint256(key2) << 8 | closestBit);
        }

        bytes32 key1 = key2 >> 8;
        bit = uint8(uint256(key2) & type(uint8).max);

        if (bit != 0) {
            leaves = tree.level1[key1];
            uint256 closestBit = _closestBitRight(leaves, bit);

            if (closestBit != type(uint256).max) {
                key2 = bytes32(uint256(key1) << 8 | closestBit);
                leaves = tree.level2[key2];

                return uint24(uint256(key2) << 8 | uint256(leaves).mostSignificantBit());
            }
        }

        bit = uint8(uint256(key1) & type(uint8).max);

        if (bit != 0) {
            leaves = tree.level0;
            uint256 closestBit = _closestBitRight(leaves, bit);

            if (closestBit != type(uint256).max) {
                key1 = bytes32(closestBit);
                leaves = tree.level1[key1];

                key2 = bytes32(uint256(key1) << 8 | uint256(leaves).mostSignificantBit());
                leaves = tree.level2[key2];

                return uint24(uint256(key2) << 8 | uint256(leaves).mostSignificantBit());
            }
        }

        return type(uint24).max;
    }

    /**
     * @dev Returns the first id in the tree that is higher than or equal to the given id.
     * It will return 0 if there is no such id.
     * @param tree The tree
     * @param id The id
     * @return The first id in the tree that is higher than or equal to the given id
     */
    function findFirstLeft(TreeUint24 storage tree, uint24 id) internal view returns (uint24) {
        bytes32 leaves;

        bytes32 key2 = bytes32(uint256(id) >> 8);
        uint8 bit = uint8(id & type(uint8).max);

        if (bit != type(uint8).max) {
            leaves = tree.level2[key2];
            uint256 closestBit = _closestBitLeft(leaves, bit);

            if (closestBit != type(uint256).max) return uint24(uint256(key2) << 8 | closestBit);
        }

        bytes32 key1 = key2 >> 8;
        bit = uint8(uint256(key2) & type(uint8).max);

        if (bit != type(uint8).max) {
            leaves = tree.level1[key1];
            uint256 closestBit = _closestBitLeft(leaves, bit);

            if (closestBit != type(uint256).max) {
                key2 = bytes32(uint256(key1) << 8 | closestBit);
                leaves = tree.level2[key2];

                return uint24(uint256(key2) << 8 | uint256(leaves).leastSignificantBit());
            }
        }

        bit = uint8(uint256(key1) & type(uint8).max);

        if (bit != type(uint8).max) {
            leaves = tree.level0;
            uint256 closestBit = _closestBitLeft(leaves, bit);

            if (closestBit != type(uint256).max) {
                key1 = bytes32(closestBit);
                leaves = tree.level1[key1];

                key2 = bytes32(uint256(key1) << 8 | uint256(leaves).leastSignificantBit());
                leaves = tree.level2[key2];

                return uint24(uint256(key2) << 8 | uint256(leaves).leastSignificantBit());
            }
        }

        return 0;
    }

    /**
     * @dev Returns the first bit in the given leaves that is strictly lower than the given bit.
     * It will return type(uint256).max if there is no such bit.
     * @param leaves The leaves
     * @param bit The bit
     * @return The first bit in the given leaves that is strictly lower than the given bit
     */
    function _closestBitRight(bytes32 leaves, uint8 bit) private pure returns (uint256) {
        unchecked {
            return uint256(leaves).closestBitRight(bit - 1);
        }
    }

    /**
     * @dev Returns the first bit in the given leaves that is strictly higher than the given bit.
     * It will return type(uint256).max if there is no such bit.
     * @param leaves The leaves
     * @param bit The bit
     * @return The first bit in the given leaves that is strictly higher than the given bit
     */
    function _closestBitLeft(bytes32 leaves, uint8 bit) private pure returns (uint256) {
        unchecked {
            return uint256(leaves).closestBitLeft(bit + 1);
        }
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Uint256x256 Math Library
 * @author Trader Joe
 * @notice Helper contract used for full precision calculations
 */
library Uint256x256Math {
    error Uint256x256Math__MulShiftOverflow();
    error Uint256x256Math__MulDivOverflow();

    /**
     * @notice Calculates floor(x*y/denominator) with full precision
     * The result will be rounded down
     * @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
     * Requirements:
     * - The denominator cannot be zero
     * - The result must fit within uint256
     * Caveats:
     * - This function does not work with fixed-point numbers
     * @param x The multiplicand as an uint256
     * @param y The multiplier as an uint256
     * @param denominator The divisor as an uint256
     * @return result The result as an uint256
     */
    function mulDivRoundDown(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        (uint256 prod0, uint256 prod1) = _getMulProds(x, y);

        return _getEndOfDivRoundDown(x, y, denominator, prod0, prod1);
    }

    /**
     * @notice Calculates ceil(x*y/denominator) with full precision
     * The result will be rounded up
     * @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
     * Requirements:
     * - The denominator cannot be zero
     * - The result must fit within uint256
     * Caveats:
     * - This function does not work with fixed-point numbers
     * @param x The multiplicand as an uint256
     * @param y The multiplier as an uint256
     * @param denominator The divisor as an uint256
     * @return result The result as an uint256
     */
    function mulDivRoundUp(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {
        result = mulDivRoundDown(x, y, denominator);
        if (mulmod(x, y, denominator) != 0) result += 1;
    }

    /**
     * @notice Calculates floor(x * y / 2**offset) with full precision
     * The result will be rounded down
     * @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
     * Requirements:
     * - The offset needs to be strictly lower than 256
     * - The result must fit within uint256
     * Caveats:
     * - This function does not work with fixed-point numbers
     * @param x The multiplicand as an uint256
     * @param y The multiplier as an uint256
     * @param offset The offset as an uint256, can't be greater than 256
     * @return result The result as an uint256
     */
    function mulShiftRoundDown(uint256 x, uint256 y, uint8 offset) internal pure returns (uint256 result) {
        (uint256 prod0, uint256 prod1) = _getMulProds(x, y);

        if (prod0 != 0) result = prod0 >> offset;
        if (prod1 != 0) {
            // Make sure the result is less than 2^256.
            if (prod1 >= 1 << offset) revert Uint256x256Math__MulShiftOverflow();

            unchecked {
                result += prod1 << (256 - offset);
            }
        }
    }

    /**
     * @notice Calculates floor(x * y / 2**offset) with full precision
     * The result will be rounded down
     * @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
     * Requirements:
     * - The offset needs to be strictly lower than 256
     * - The result must fit within uint256
     * Caveats:
     * - This function does not work with fixed-point numbers
     * @param x The multiplicand as an uint256
     * @param y The multiplier as an uint256
     * @param offset The offset as an uint256, can't be greater than 256
     * @return result The result as an uint256
     */
    function mulShiftRoundUp(uint256 x, uint256 y, uint8 offset) internal pure returns (uint256 result) {
        result = mulShiftRoundDown(x, y, offset);
        if (mulmod(x, y, 1 << offset) != 0) result += 1;
    }

    /**
     * @notice Calculates floor(x << offset / y) with full precision
     * The result will be rounded down
     * @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
     * Requirements:
     * - The offset needs to be strictly lower than 256
     * - The result must fit within uint256
     * Caveats:
     * - This function does not work with fixed-point numbers
     * @param x The multiplicand as an uint256
     * @param offset The number of bit to shift x as an uint256
     * @param denominator The divisor as an uint256
     * @return result The result as an uint256
     */
    function shiftDivRoundDown(uint256 x, uint8 offset, uint256 denominator) internal pure returns (uint256 result) {
        uint256 prod0;
        uint256 prod1;

        prod0 = x << offset; // Least significant 256 bits of the product
        unchecked {
            prod1 = x >> (256 - offset); // Most significant 256 bits of the product
        }

        return _getEndOfDivRoundDown(x, 1 << offset, denominator, prod0, prod1);
    }

    /**
     * @notice Calculates ceil(x << offset / y) with full precision
     * The result will be rounded up
     * @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
     * Requirements:
     * - The offset needs to be strictly lower than 256
     * - The result must fit within uint256
     * Caveats:
     * - This function does not work with fixed-point numbers
     * @param x The multiplicand as an uint256
     * @param offset The number of bit to shift x as an uint256
     * @param denominator The divisor as an uint256
     * @return result The result as an uint256
     */
    function shiftDivRoundUp(uint256 x, uint8 offset, uint256 denominator) internal pure returns (uint256 result) {
        result = shiftDivRoundDown(x, offset, denominator);
        if (mulmod(x, 1 << offset, denominator) != 0) result += 1;
    }

    /**
     * @notice Helper function to return the result of `x * y` as 2 uint256
     * @param x The multiplicand as an uint256
     * @param y The multiplier as an uint256
     * @return prod0 The least significant 256 bits of the product
     * @return prod1 The most significant 256 bits of the product
     */
    function _getMulProds(uint256 x, uint256 y) private pure returns (uint256 prod0, uint256 prod1) {
        // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use
        // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256
        // variables such that product = prod1 * 2^256 + prod0.
        assembly {
            let mm := mulmod(x, y, not(0))
            prod0 := mul(x, y)
            prod1 := sub(sub(mm, prod0), lt(mm, prod0))
        }
    }

    /**
     * @notice Helper function to return the result of `x * y / denominator` with full precision
     * @param x The multiplicand as an uint256
     * @param y The multiplier as an uint256
     * @param denominator The divisor as an uint256
     * @param prod0 The least significant 256 bits of the product
     * @param prod1 The most significant 256 bits of the product
     * @return result The result as an uint256
     */
    function _getEndOfDivRoundDown(uint256 x, uint256 y, uint256 denominator, uint256 prod0, uint256 prod1)
        private
        pure
        returns (uint256 result)
    {
        // Handle non-overflow cases, 256 by 256 division
        if (prod1 == 0) {
            unchecked {
                result = prod0 / denominator;
            }
        } else {
            // Make sure the result is less than 2^256. Also prevents denominator == 0
            if (prod1 >= denominator) revert Uint256x256Math__MulDivOverflow();

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

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

            // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1
            // See https://cs.stackexchange.com/q/138556/92363
            unchecked {
                // Does not overflow because the denominator cannot be zero at this stage in the function
                uint256 lpotdod = denominator & (~denominator + 1);
                assembly {
                    // Divide denominator by lpotdod.
                    denominator := div(denominator, lpotdod)

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

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

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

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

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

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

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {IERC20} from "openzeppelin/token/ERC20/IERC20.sol";

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

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

    error TokenHelper__TransferFailed();

    /**
     * @notice Transfers token and reverts if the transfer fails
     * @param token The address of the token
     * @param owner The owner of the tokens
     * @param recipient The address of the recipient
     * @param amount The amount to send
     */
    function safeTransferFrom(IERC20 token, address owner, address recipient, uint256 amount) internal {
        bytes memory data = abi.encodeWithSelector(token.transferFrom.selector, owner, recipient, amount);

        bytes memory returnData = address(token).callAndCatch(data);

        if (returnData.length > 0 && !abi.decode(returnData, (bool))) revert TokenHelper__TransferFailed();
    }

    /**
     * @notice Transfers token and reverts if the transfer fails
     * @param token The address of the token
     * @param recipient The address of the recipient
     * @param amount The amount to send
     */
    function safeTransfer(IERC20 token, address recipient, uint256 amount) internal {
        bytes memory data = abi.encodeWithSelector(token.transfer.selector, recipient, amount);

        bytes memory returnData = address(token).callAndCatch(data);

        if (returnData.length > 0 && !abi.decode(returnData, (bool))) revert TokenHelper__TransferFailed();
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Encoded Library
 * @author Trader Joe
 * @notice Helper contract used for decoding bytes32 sample
 */
library Encoded {
    uint256 internal constant MASK_UINT1 = 0x1;
    uint256 internal constant MASK_UINT8 = 0xff;
    uint256 internal constant MASK_UINT12 = 0xfff;
    uint256 internal constant MASK_UINT14 = 0x3fff;
    uint256 internal constant MASK_UINT16 = 0xffff;
    uint256 internal constant MASK_UINT20 = 0xfffff;
    uint256 internal constant MASK_UINT24 = 0xffffff;
    uint256 internal constant MASK_UINT40 = 0xffffffffff;
    uint256 internal constant MASK_UINT64 = 0xffffffffffffffff;
    uint256 internal constant MASK_UINT128 = 0xffffffffffffffffffffffffffffffff;

    /**
     * @notice Internal function to set a value in an encoded bytes32 using a mask and offset
     * @dev This function can overflow
     * @param encoded The previous encoded value
     * @param value The value to encode
     * @param mask The mask
     * @param offset The offset
     * @return newEncoded The new encoded value
     */
    function set(bytes32 encoded, uint256 value, uint256 mask, uint256 offset)
        internal
        pure
        returns (bytes32 newEncoded)
    {
        assembly {
            newEncoded := and(encoded, not(shl(offset, mask)))
            newEncoded := or(newEncoded, shl(offset, and(value, mask)))
        }
    }

    /**
     * @notice Internal function to set a bool in an encoded bytes32 using an offset
     * @dev This function can overflow
     * @param encoded The previous encoded value
     * @param boolean The bool to encode
     * @param offset The offset
     * @return newEncoded The new encoded value
     */
    function setBool(bytes32 encoded, bool boolean, uint256 offset) internal pure returns (bytes32 newEncoded) {
        return set(encoded, boolean ? 1 : 0, MASK_UINT1, offset);
    }

    /**
     * @notice Internal function to decode a bytes32 sample using a mask and offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param mask The mask
     * @param offset The offset
     * @return value The decoded value
     */
    function decode(bytes32 encoded, uint256 mask, uint256 offset) internal pure returns (uint256 value) {
        assembly {
            value := and(shr(offset, encoded), mask)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a bool using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return boolean The decoded value as a bool
     */
    function decodeBool(bytes32 encoded, uint256 offset) internal pure returns (bool boolean) {
        assembly {
            boolean := and(shr(offset, encoded), MASK_UINT1)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint8 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value
     */
    function decodeUint8(bytes32 encoded, uint256 offset) internal pure returns (uint8 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT8)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint12 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value as a uint16, since uint12 is not supported
     */
    function decodeUint12(bytes32 encoded, uint256 offset) internal pure returns (uint16 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT12)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint14 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value as a uint16, since uint14 is not supported
     */
    function decodeUint14(bytes32 encoded, uint256 offset) internal pure returns (uint16 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT14)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint16 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value
     */
    function decodeUint16(bytes32 encoded, uint256 offset) internal pure returns (uint16 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT16)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint20 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value as a uint24, since uint20 is not supported
     */
    function decodeUint20(bytes32 encoded, uint256 offset) internal pure returns (uint24 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT20)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint24 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value
     */
    function decodeUint24(bytes32 encoded, uint256 offset) internal pure returns (uint24 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT24)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint40 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value
     */
    function decodeUint40(bytes32 encoded, uint256 offset) internal pure returns (uint40 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT40)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint64 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value
     */
    function decodeUint64(bytes32 encoded, uint256 offset) internal pure returns (uint64 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT64)
        }
    }

    /**
     * @notice Internal function to decode a bytes32 sample into a uint128 using an offset
     * @dev This function can overflow
     * @param encoded The encoded value
     * @param offset The offset
     * @return value The decoded value
     */
    function decodeUint128(bytes32 encoded, uint256 offset) internal pure returns (uint128 value) {
        assembly {
            value := and(shr(offset, encoded), MASK_UINT128)
        }
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Pending Ownable Interface
 * @author Trader Joe
 * @notice Required interface of Pending Ownable contract used for LBFactory
 */
interface IPendingOwnable {
    error PendingOwnable__AddressZero();
    error PendingOwnable__NoPendingOwner();
    error PendingOwnable__NotOwner();
    error PendingOwnable__NotPendingOwner();
    error PendingOwnable__PendingOwnerAlreadySet();

    event PendingOwnerSet(address indexed pendingOwner);

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

    function owner() external view returns (address);

    function pendingOwner() external view returns (address);

    function setPendingOwner(address pendingOwner) external;

    function revokePendingOwner() external;

    function becomeOwner() external;

    function renounceOwnership() external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Token Interface
 * @author Trader Joe
 * @notice Interface to interact with the LBToken.
 */
interface ILBToken {
    error LBToken__AddressThisOrZero();
    error LBToken__InvalidLength();
    error LBToken__SelfApproval(address owner);
    error LBToken__SpenderNotApproved(address from, address spender);
    error LBToken__TransferExceedsBalance(address from, uint256 id, uint256 amount);
    error LBToken__BurnExceedsBalance(address from, uint256 id, uint256 amount);

    event TransferBatch(
        address indexed sender, address indexed from, address indexed to, uint256[] ids, uint256[] amounts
    );

    event ApprovalForAll(address indexed account, address indexed sender, bool approved);

    function name() external view returns (string memory);

    function symbol() external view returns (string memory);

    function totalSupply(uint256 id) external view returns (uint256);

    function balanceOf(address account, uint256 id) external view returns (uint256);

    function balanceOfBatch(address[] calldata accounts, uint256[] calldata ids)
        external
        view
        returns (uint256[] memory);

    function isApprovedForAll(address owner, address spender) external view returns (bool);

    function approveForAll(address spender, bool approved) external;

    function batchTransferFrom(address from, address to, uint256[] calldata ids, uint256[] calldata amounts) external;
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

import {Constants} from "../Constants.sol";
import {BitMath} from "./BitMath.sol";

/**
 * @title Liquidity Book Uint128x128 Math Library
 * @author Trader Joe
 * @notice Helper contract used for power and log calculations
 */
library Uint128x128Math {
    using BitMath for uint256;

    error Uint128x128Math__LogUnderflow();
    error Uint128x128Math__PowUnderflow(uint256 x, int256 y);

    uint256 constant LOG_SCALE_OFFSET = 127;
    uint256 constant LOG_SCALE = 1 << LOG_SCALE_OFFSET;
    uint256 constant LOG_SCALE_SQUARED = LOG_SCALE * LOG_SCALE;

    /**
     * @notice Calculates the binary logarithm of x.
     * @dev Based on the iterative approximation algorithm.
     * https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation
     * Requirements:
     * - x must be greater than zero.
     * Caveats:
     * - The results are not perfectly accurate to the last decimal, due to the lossy precision of the iterative approximation
     * Also because x is converted to an unsigned 129.127-binary fixed-point number during the operation to optimize the multiplication
     * @param x The unsigned 128.128-binary fixed-point number for which to calculate the binary logarithm.
     * @return result The binary logarithm as a signed 128.128-binary fixed-point number.
     */
    function log2(uint256 x) internal pure returns (int256 result) {
        // Convert x to a unsigned 129.127-binary fixed-point number to optimize the multiplication.
        // If we use an offset of 128 bits, y would need 129 bits and y**2 would would overflow and we would have to
        // use mulDiv, by reducing x to 129.127-binary fixed-point number we assert that y will use 128 bits, and we
        // can use the regular multiplication

        if (x == 1) return -128;
        if (x == 0) revert Uint128x128Math__LogUnderflow();

        x >>= 1;

        unchecked {
            // This works because log2(x) = -log2(1/x).
            int256 sign;
            if (x >= LOG_SCALE) {
                sign = 1;
            } else {
                sign = -1;
                // Do the fixed-point inversion inline to save gas
                x = LOG_SCALE_SQUARED / x;
            }

            // Calculate the integer part of the logarithm and add it to the result and finally calculate y = x * 2^(-n).
            uint256 n = (x >> LOG_SCALE_OFFSET).mostSignificantBit();

            // The integer part of the logarithm as a signed 129.127-binary fixed-point number. The operation can't overflow
            // because n is maximum 255, LOG_SCALE_OFFSET is 127 bits and sign is either 1 or -1.
            result = int256(n) << LOG_SCALE_OFFSET;

            // This is y = x * 2^(-n).
            uint256 y = x >> n;

            // If y = 1, the fractional part is zero.
            if (y != LOG_SCALE) {
                // Calculate the fractional part via the iterative approximation.
                // The "delta >>= 1" part is equivalent to "delta /= 2", but shifting bits is faster.
                for (int256 delta = int256(1 << (LOG_SCALE_OFFSET - 1)); delta > 0; delta >>= 1) {
                    y = (y * y) >> LOG_SCALE_OFFSET;

                    // Is y^2 > 2 and so in the range [2,4)?
                    if (y >= 1 << (LOG_SCALE_OFFSET + 1)) {
                        // Add the 2^(-m) factor to the logarithm.
                        result += delta;

                        // Corresponds to z/2 on Wikipedia.
                        y >>= 1;
                    }
                }
            }
            // Convert x back to unsigned 128.128-binary fixed-point number
            result = (result * sign) << 1;
        }
    }

    /**
     * @notice Returns the value of x^y. It calculates `1 / x^abs(y)` if x is bigger than 2^128.
     * At the end of the operations, we invert the result if needed.
     * @param x The unsigned 128.128-binary fixed-point number for which to calculate the power
     * @param y A relative number without any decimals, needs to be between ]2^21; 2^21[
     */
    function pow(uint256 x, int256 y) internal pure returns (uint256 result) {
        bool invert;
        uint256 absY;

        if (y == 0) return Constants.SCALE;

        assembly {
            absY := y
            if slt(absY, 0) {
                absY := sub(0, absY)
                invert := iszero(invert)
            }
        }

        if (absY < 0x100000) {
            result = Constants.SCALE;
            assembly {
                let squared := x
                if gt(x, 0xffffffffffffffffffffffffffffffff) {
                    squared := div(not(0), squared)
                    invert := iszero(invert)
                }

                if and(absY, 0x1) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x2) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x4) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x8) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x10) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x20) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x40) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x80) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x100) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x200) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x400) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x800) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x1000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x2000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x4000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x8000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x10000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x20000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x40000) { result := shr(128, mul(result, squared)) }
                squared := shr(128, mul(squared, squared))
                if and(absY, 0x80000) { result := shr(128, mul(result, squared)) }
            }
        }

        // revert if y is too big or if x^y underflowed
        if (result == 0) revert Uint128x128Math__PowUnderflow(x, y);

        return invert ? type(uint256).max / result : result;
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Bit Math Library
 * @author Trader Joe
 * @notice Helper contract used for bit calculations
 */
library BitMath {
    /**
     * @dev Returns the index of the closest bit on the right of x that is non null
     * @param x The value as a uint256
     * @param bit The index of the bit to start searching at
     * @return id The index of the closest non null bit on the right of x.
     * If there is no closest bit, it returns max(uint256)
     */
    function closestBitRight(uint256 x, uint8 bit) internal pure returns (uint256 id) {
        unchecked {
            uint256 shift = 255 - bit;
            x <<= shift;

            // can't overflow as it's non-zero and we shifted it by `_shift`
            return (x == 0) ? type(uint256).max : mostSignificantBit(x) - shift;
        }
    }

    /**
     * @dev Returns the index of the closest bit on the left of x that is non null
     * @param x The value as a uint256
     * @param bit The index of the bit to start searching at
     * @return id The index of the closest non null bit on the left of x.
     * If there is no closest bit, it returns max(uint256)
     */
    function closestBitLeft(uint256 x, uint8 bit) internal pure returns (uint256 id) {
        unchecked {
            x >>= bit;

            return (x == 0) ? type(uint256).max : leastSignificantBit(x) + bit;
        }
    }

    /**
     * @dev Returns the index of the most significant bit of x
     * This function returns 0 if x is 0
     * @param x The value as a uint256
     * @return msb The index of the most significant bit of x
     */
    function mostSignificantBit(uint256 x) internal pure returns (uint8 msb) {
        assembly {
            if gt(x, 0xffffffffffffffffffffffffffffffff) {
                x := shr(128, x)
                msb := 128
            }
            if gt(x, 0xffffffffffffffff) {
                x := shr(64, x)
                msb := add(msb, 64)
            }
            if gt(x, 0xffffffff) {
                x := shr(32, x)
                msb := add(msb, 32)
            }
            if gt(x, 0xffff) {
                x := shr(16, x)
                msb := add(msb, 16)
            }
            if gt(x, 0xff) {
                x := shr(8, x)
                msb := add(msb, 8)
            }
            if gt(x, 0xf) {
                x := shr(4, x)
                msb := add(msb, 4)
            }
            if gt(x, 0x3) {
                x := shr(2, x)
                msb := add(msb, 2)
            }
            if gt(x, 0x1) { msb := add(msb, 1) }
        }
    }

    /**
     * @dev Returns the index of the least significant bit of x
     * This function returns 255 if x is 0
     * @param x The value as a uint256
     * @return lsb The index of the least significant bit of x
     */
    function leastSignificantBit(uint256 x) internal pure returns (uint8 lsb) {
        assembly {
            let sx := shl(128, x)
            if iszero(iszero(sx)) {
                lsb := 128
                x := sx
            }
            sx := shl(64, x)
            if iszero(iszero(sx)) {
                x := sx
                lsb := add(lsb, 64)
            }
            sx := shl(32, x)
            if iszero(iszero(sx)) {
                x := sx
                lsb := add(lsb, 32)
            }
            sx := shl(16, x)
            if iszero(iszero(sx)) {
                x := sx
                lsb := add(lsb, 16)
            }
            sx := shl(8, x)
            if iszero(iszero(sx)) {
                x := sx
                lsb := add(lsb, 8)
            }
            sx := shl(4, x)
            if iszero(iszero(sx)) {
                x := sx
                lsb := add(lsb, 4)
            }
            sx := shl(2, x)
            if iszero(iszero(sx)) {
                x := sx
                lsb := add(lsb, 2)
            }
            if iszero(iszero(shl(1, x))) { lsb := add(lsb, 1) }

            lsb := sub(255, lsb)
        }
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.8.10;

/**
 * @title Liquidity Book Address Helper Library
 * @author Trader Joe
 * @notice This library contains functions to check if an address is a contract and
 * catch low level calls errors
 */
library AddressHelper {
    error AddressHelper__NonContract();
    error AddressHelper__CallFailed();

    /**
     * @notice Private view function to perform a low level call on `target`
     * @dev Revert if the call doesn't succeed
     * @param target The address of the account
     * @param data The data to execute on `target`
     * @return returnData The data returned by the call
     */
    function callAndCatch(address target, bytes memory data) internal returns (bytes memory) {
        (bool success, bytes memory returnData) = target.call(data);

        if (success) {
            if (returnData.length == 0 && !isContract(target)) revert AddressHelper__NonContract();
        } else {
            if (returnData.length == 0) {
                revert AddressHelper__CallFailed();
            } else {
                // Look for revert reason and bubble it up if present
                assembly {
                    revert(add(32, returnData), mload(returnData))
                }
            }
        }

        return returnData;
    }

    /**
     * @notice Private view function to return if an address is a contract
     * @dev It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * @param account The address of the account
     * @return Whether the account is a contract (true) or not (false)
     */
    function isContract(address account) internal view returns (bool) {
        return account.code.length > 0;
    }
}

{
  "remappings": [
    "ds-test/=lib/forge-std/lib/ds-test/src/",
    "erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/",
    "forge-std/=lib/forge-std/src/",
    "openzeppelin-contracts/=lib/openzeppelin-contracts/",
    "openzeppelin/=lib/openzeppelin-contracts/contracts/",
    "lib/forge-std:ds-test/=lib/forge-std/lib/ds-test/src/",
    "lib/openzeppelin-contracts:ds-test/=lib/openzeppelin-contracts/lib/forge-std/lib/ds-test/src/",
    "lib/openzeppelin-contracts:erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/",
    "lib/openzeppelin-contracts:forge-std/=lib/openzeppelin-contracts/lib/forge-std/src/"
  ],
  "optimizer": {
    "enabled": true,
    "runs": 800
  },
  "metadata": {
    "useLiteralContent": false,
    "bytecodeHash": "ipfs"
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "evmVersion": "london",
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[{"internalType":"contract ILBFactory","name":"factory_","type":"address"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[],"name":"AddressHelper__CallFailed","type":"error"},{"inputs":[],"name":"AddressHelper__NonContract","type":"error"},{"inputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"name":"BinHelper__CompositionFactorFlawed","type":"error"},{"inputs":[],"name":"BinHelper__LiquidityOverflow","type":"error"},{"inputs":[],"name":"FeeHelper__FeeTooLarge","type":"error"},{"inputs":[],"name":"LBPair__AddressZero","type":"error"},{"inputs":[],"name":"LBPair__AlreadyInitialized","type":"error"},{"inputs":[],"name":"LBPair__EmptyMarketConfigs","type":"error"},{"inputs":[],"name":"LBPair__FlashLoanCallbackFailed","type":"error"},{"inputs":[],"name":"LBPair__FlashLoanInsufficientAmount","type":"error"},{"inputs":[],"name":"LBPair__InsufficientAmountIn","type":"error"},{"inputs":[],"name":"LBPair__InsufficientAmountOut","type":"error"},{"inputs":[],"name":"LBPair__InvalidInput","type":"error"},{"inputs":[],"name":"LBPair__InvalidStaticFeeParameters","type":"error"},{"inputs":[],"name":"LBPair__MaxTotalFeeExceeded","type":"error"},{"inputs":[],"name":"LBPair__OnlyFactory","type":"error"},{"inputs":[],"name":"LBPair__OnlyProtocolFeeRecipient","type":"error"},{"inputs":[],"name":"LBPair__OutOfLiquidity","type":"error"},{"inputs":[],"name":"LBPair__TokenNotSupported","type":"error"},{"inputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"name":"LBPair__ZeroAmount","type":"error"},{"inputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"name":"LBPair__ZeroAmountsOut","type":"error"},{"inputs":[],"name":"LBPair__ZeroBorrowAmount","type":"error"},{"inputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"name":"LBPair__ZeroShares","type":"error"},{"inputs":[],"name":"LBToken__AddressThisOrZero","type":"error"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"uint256","name":"id","type":"uint256"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"LBToken__BurnExceedsBalance","type":"error"},{"inputs":[],"name":"LBToken__InvalidLength","type":"error"},{"inputs":[{"internalType":"address","name":"owner","type":"address"}],"name":"LBToken__SelfApproval","type":"error"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"spender","type":"address"}],"name":"LBToken__SpenderNotApproved","type":"error"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"uint256","name":"id","type":"uint256"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"LBToken__TransferExceedsBalance","type":"error"},{"inputs":[],"name":"LiquidityConfigurations__InvalidConfig","type":"error"},{"inputs":[],"name":"OracleHelper__InvalidOracleId","type":"error"},{"inputs":[],"name":"OracleHelper__LookUpTimestampTooOld","type":"error"},{"inputs":[],"name":"OracleHelper__NewLengthTooSmall","type":"error"},{"inputs":[],"name":"PackedUint128Math__AddOverflow","type":"error"},{"inputs":[],"name":"PackedUint128Math__MultiplierTooLarge","type":"error"},{"inputs":[],"name":"PackedUint128Math__SubUnderflow","type":"error"},{"inputs":[],"name":"PairParametersHelper__InvalidParameter","type":"error"},{"inputs":[],"name":"ReentrancyGuard__ReentrantCall","type":"error"},{"inputs":[],"name":"SafeCast__Exceeds128Bits","type":"error"},{"inputs":[],"name":"SafeCast__Exceeds24Bits","type":"error"},{"inputs":[],"name":"SafeCast__Exceeds40Bits","type":"error"},{"inputs":[],"name":"TokenHelper__TransferFailed","type":"error"},{"inputs":[],"name":"Uint128x128Math__LogUnderflow","type":"error"},{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"},{"internalType":"int256","name":"y","type":"int256"}],"name":"Uint128x128Math__PowUnderflow","type":"error"},{"inputs":[],"name":"Uint256x256Math__MulDivOverflow","type":"error"},{"inputs":[],"name":"Uint256x256Math__MulShiftOverflow","type":"error"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"account","type":"address"},{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":false,"internalType":"bool","name":"approved","type":"bool"}],"name":"ApprovalForAll","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"feeRecipient","type":"address"},{"indexed":false,"internalType":"bytes32","name":"protocolFees","type":"bytes32"}],"name":"CollectedProtocolFees","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":false,"internalType":"uint24","name":"id","type":"uint24"},{"indexed":false,"internalType":"bytes32","name":"totalFees","type":"bytes32"},{"indexed":false,"internalType":"bytes32","name":"protocolFees","type":"bytes32"}],"name":"CompositionFees","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256[]","name":"ids","type":"uint256[]"},{"indexed":false,"internalType":"bytes32[]","name":"amounts","type":"bytes32[]"}],"name":"DepositedToBins","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":true,"internalType":"contract ILBFlashLoanCallback","name":"receiver","type":"address"},{"indexed":false,"internalType":"uint24","name":"activeId","type":"uint24"},{"indexed":false,"internalType":"bytes32","name":"amounts","type":"bytes32"},{"indexed":false,"internalType":"bytes32","name":"totalFees","type":"bytes32"},{"indexed":false,"internalType":"bytes32","name":"protocolFees","type":"bytes32"}],"name":"FlashLoan","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":false,"internalType":"uint24","name":"idReference","type":"uint24"},{"indexed":false,"internalType":"uint24","name":"volatilityReference","type":"uint24"}],"name":"ForcedDecay","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":false,"internalType":"uint16","name":"oracleLength","type":"uint16"}],"name":"OracleLengthIncreased","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":false,"internalType":"uint16","name":"baseFactor","type":"uint16"},{"indexed":false,"internalType":"uint16","name":"filterPeriod","type":"uint16"},{"indexed":false,"internalType":"uint16","name":"decayPeriod","type":"uint16"},{"indexed":false,"internalType":"uint16","name":"reductionFactor","type":"uint16"},{"indexed":false,"internalType":"uint24","name":"variableFeeControl","type":"uint24"},{"indexed":false,"internalType":"uint16","name":"protocolShare","type":"uint16"},{"indexed":false,"internalType":"uint24","name":"maxVolatilityAccumulator","type":"uint24"}],"name":"StaticFeeParametersSet","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint24","name":"id","type":"uint24"},{"indexed":false,"internalType":"bytes32","name":"amountsIn","type":"bytes32"},{"indexed":false,"internalType":"bytes32","name":"amountsOut","type":"bytes32"},{"indexed":false,"internalType":"uint24","name":"volatilityAccumulator","type":"uint24"},{"indexed":false,"internalType":"bytes32","name":"totalFees","type":"bytes32"},{"indexed":false,"internalType":"bytes32","name":"protocolFees","type":"bytes32"}],"name":"Swap","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":true,"internalType":"address","name":"from","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256[]","name":"ids","type":"uint256[]"},{"indexed":false,"internalType":"uint256[]","name":"amounts","type":"uint256[]"}],"name":"TransferBatch","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"sender","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256[]","name":"ids","type":"uint256[]"},{"indexed":false,"internalType":"bytes32[]","name":"amounts","type":"bytes32[]"}],"name":"WithdrawnFromBins","type":"event"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"bool","name":"approved","type":"bool"}],"name":"approveForAll","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"},{"internalType":"uint256","name":"id","type":"uint256"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address[]","name":"accounts","type":"address[]"},{"internalType":"uint256[]","name":"ids","type":"uint256[]"}],"name":"balanceOfBatch","outputs":[{"internalType":"uint256[]","name":"batchBalances","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256[]","name":"ids","type":"uint256[]"},{"internalType":"uint256[]","name":"amounts","type":"uint256[]"}],"name":"batchTransferFrom","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"uint256[]","name":"ids","type":"uint256[]"},{"internalType":"uint256[]","name":"amountsToBurn","type":"uint256[]"}],"name":"burn","outputs":[{"internalType":"bytes32[]","name":"amounts","type":"bytes32[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"collectProtocolFees","outputs":[{"internalType":"bytes32","name":"collectedProtocolFees","type":"bytes32"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract ILBFlashLoanCallback","name":"receiver","type":"address"},{"internalType":"bytes32","name":"amounts","type":"bytes32"},{"internalType":"bytes","name":"data","type":"bytes"}],"name":"flashLoan","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"forceDecay","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"getActiveId","outputs":[{"internalType":"uint24","name":"activeId","type":"uint24"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"name":"getBin","outputs":[{"internalType":"uint128","name":"binReserveX","type":"uint128"},{"internalType":"uint128","name":"binReserveY","type":"uint128"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getBinStep","outputs":[{"internalType":"uint16","name":"","type":"uint16"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"getFactory","outputs":[{"internalType":"contract ILBFactory","name":"factory","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"price","type":"uint256"}],"name":"getIdFromPrice","outputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"bool","name":"swapForY","type":"bool"},{"internalType":"uint24","name":"id","type":"uint24"}],"name":"getNextNonEmptyBin","outputs":[{"internalType":"uint24","name":"nextId","type":"uint24"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getOracleParameters","outputs":[{"internalType":"uint8","name":"sampleLifetime","type":"uint8"},{"internalType":"uint16","name":"size","type":"uint16"},{"internalType":"uint16","name":"activeSize","type":"uint16"},{"internalType":"uint40","name":"lastUpdated","type":"uint40"},{"internalType":"uint40","name":"firstTimestamp","type":"uint40"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint40","name":"lookupTimestamp","type":"uint40"}],"name":"getOracleSampleAt","outputs":[{"internalType":"uint64","name":"cumulativeId","type":"uint64"},{"internalType":"uint64","name":"cumulativeVolatility","type":"uint64"},{"internalType":"uint64","name":"cumulativeBinCrossed","type":"uint64"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint24","name":"id","type":"uint24"}],"name":"getPriceFromId","outputs":[{"internalType":"uint256","name":"price","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"getProtocolFees","outputs":[{"internalType":"uint128","name":"protocolFeeX","type":"uint128"},{"internalType":"uint128","name":"protocolFeeY","type":"uint128"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getReserves","outputs":[{"internalType":"uint128","name":"reserveX","type":"uint128"},{"internalType":"uint128","name":"reserveY","type":"uint128"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getStaticFeeParameters","outputs":[{"internalType":"uint16","name":"baseFactor","type":"uint16"},{"internalType":"uint16","name":"filterPeriod","type":"uint16"},{"internalType":"uint16","name":"decayPeriod","type":"uint16"},{"internalType":"uint16","name":"reductionFactor","type":"uint16"},{"internalType":"uint24","name":"variableFeeControl","type":"uint24"},{"internalType":"uint16","name":"protocolShare","type":"uint16"},{"internalType":"uint24","name":"maxVolatilityAccumulator","type":"uint24"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint128","name":"amountOut","type":"uint128"},{"internalType":"bool","name":"swapForY","type":"bool"}],"name":"getSwapIn","outputs":[{"internalType":"uint128","name":"amountIn","type":"uint128"},{"internalType":"uint128","name":"amountOutLeft","type":"uint128"},{"internalType":"uint128","name":"fee","type":"uint128"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint128","name":"amountIn","type":"uint128"},{"internalType":"bool","name":"swapForY","type":"bool"}],"name":"getSwapOut","outputs":[{"internalType":"uint128","name":"amountInLeft","type":"uint128"},{"internalType":"uint128","name":"amountOut","type":"uint128"},{"internalType":"uint128","name":"fee","type":"uint128"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getTokenX","outputs":[{"internalType":"contract IERC20","name":"tokenX","type":"address"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"getTokenY","outputs":[{"internalType":"contract IERC20","name":"tokenY","type":"address"}],"stateMutability":"pure","type":"function"},{"inputs":[],"name":"getVariableFeeParameters","outputs":[{"internalType":"uint24","name":"volatilityAccumulator","type":"uint24"},{"internalType":"uint24","name":"volatilityReference","type":"uint24"},{"internalType":"uint24","name":"idReference","type":"uint24"},{"internalType":"uint40","name":"timeOfLastUpdate","type":"uint40"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint16","name":"newLength","type":"uint16"}],"name":"increaseOracleLength","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint16","name":"baseFactor","type":"uint16"},{"internalType":"uint16","name":"filterPeriod","type":"uint16"},{"internalType":"uint16","name":"decayPeriod","type":"uint16"},{"internalType":"uint16","name":"reductionFactor","type":"uint16"},{"internalType":"uint24","name":"variableFeeControl","type":"uint24"},{"internalType":"uint16","name":"protocolShare","type":"uint16"},{"internalType":"uint24","name":"maxVolatilityAccumulator","type":"uint24"},{"internalType":"uint24","name":"activeId","type":"uint24"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"spender","type":"address"}],"name":"isApprovedForAll","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"to","type":"address"},{"internalType":"bytes32[]","name":"liquidityConfigs","type":"bytes32[]"},{"internalType":"address","name":"refundTo","type":"address"}],"name":"mint","outputs":[{"internalType":"bytes32","name":"amountsReceived","type":"bytes32"},{"internalType":"bytes32","name":"amountsLeft","type":"bytes32"},{"internalType":"uint256[]","name":"liquidityMinted","type":"uint256[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint16","name":"baseFactor","type":"uint16"},{"internalType":"uint16","name":"filterPeriod","type":"uint16"},{"internalType":"uint16","name":"decayPeriod","type":"uint16"},{"internalType":"uint16","name":"reductionFactor","type":"uint16"},{"internalType":"uint24","name":"variableFeeControl","type":"uint24"},{"internalType":"uint16","name":"protocolShare","type":"uint16"},{"internalType":"uint24","name":"maxVolatilityAccumulator","type":"uint24"}],"name":"setStaticFeeParameters","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bool","name":"swapForY","type":"bool"},{"internalType":"address","name":"to","type":"address"}],"name":"swap","outputs":[{"internalType":"bytes32","name":"amountsOut","type":"bytes32"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"symbol","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"id","type":"uint256"}],"name":"totalSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"}]

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

000000000000000000000000dc8d77b69155c7e68a95a4fb0f06a71ff90b943a

-----Decoded View---------------
Arg [0] : factory_ (address): 0xDC8d77b69155c7E68A95a4fb0f06a71FF90B943a

-----Encoded View---------------
1 Constructor Arguments found :
Arg [0] : 000000000000000000000000dc8d77b69155c7e68a95a4fb0f06a71ff90b943a