Contract

Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta

More Options

• Similar
• Submit Audit
• Compare

// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;
pragma abicoder v2;

import './interfaces/IAlgebraFactory.sol';
import './interfaces/IDataStorageOperator.sol';

import './libraries/DataStorage.sol';
import './libraries/Sqrt.sol';
import './libraries/AdaptiveFee.sol';

import './libraries/Constants.sol';

/// @title Algebra timepoints data operator
/// @notice This contract stores timepoints and calculates adaptive fee and statistical averages
contract DataStorageOperator is IDataStorageOperator {
  uint256 constant UINT16_MODULO = 65536;
  uint128 constant MAX_VOLUME_PER_LIQUIDITY = 100000 << 64; // maximum meaningful ratio of volume to liquidity

  using DataStorage for DataStorage.Timepoint[UINT16_MODULO];

  DataStorage.Timepoint[UINT16_MODULO] public override timepoints;

  AdaptiveFee.Configuration public feeConfigZto;
  AdaptiveFee.Configuration public feeConfigOtz;

  address private immutable pool;
  address private immutable factory;

  modifier onlyPool() {
    require(msg.sender == pool, 'only pool can call this');
    _;
  }

  constructor(address _pool) {
    factory = msg.sender;
    pool = _pool;
  }

  /// @inheritdoc IDataStorageOperator
  function initialize(uint32 time, int24 tick) external override onlyPool {
    return timepoints.initialize(time, tick);
  }

  /// @inheritdoc IDataStorageOperator
  function changeFeeConfiguration(bool zto, AdaptiveFee.Configuration calldata _feeConfig) external override {
    require(msg.sender == factory || msg.sender == IAlgebraFactory(factory).owner());

    require(uint256(_feeConfig.alpha1) + uint256(_feeConfig.alpha2) + uint256(_feeConfig.baseFee) <= type(uint16).max, 'Max fee exceeded');
    require(_feeConfig.gamma1 != 0 && _feeConfig.gamma2 != 0 && _feeConfig.volumeGamma != 0, 'Gammas must be > 0');

    if (zto) feeConfigZto = _feeConfig;
    else feeConfigOtz = _feeConfig;
    emit FeeConfiguration(zto, _feeConfig);
  }

  /// @inheritdoc IDataStorageOperator
  function getSingleTimepoint(
    uint32 time,
    uint32 secondsAgo,
    int24 tick,
    uint16 index,
    uint128 liquidity
  )
    external
    view
    override
    onlyPool
    returns (int56 tickCumulative, uint160 secondsPerLiquidityCumulative, uint112 volatilityCumulative, uint256 volumePerAvgLiquidity)
  {
    uint16 oldestIndex;
    // check if we have overflow in the past
    uint16 nextIndex = index + 1; // considering overflow
    if (timepoints[nextIndex].initialized) {
      oldestIndex = nextIndex;
    }

    DataStorage.Timepoint memory result = timepoints.getSingleTimepoint(time, secondsAgo, tick, index, oldestIndex, liquidity);
    (tickCumulative, secondsPerLiquidityCumulative, volatilityCumulative, volumePerAvgLiquidity) = (
      result.tickCumulative,
      result.secondsPerLiquidityCumulative,
      result.volatilityCumulative,
      result.volumePerLiquidityCumulative
    );
  }

  /// @inheritdoc IDataStorageOperator
  function getTimepoints(
    uint32 time,
    uint32[] memory secondsAgos,
    int24 tick,
    uint16 index,
    uint128 liquidity
  )
    external
    view
    override
    onlyPool
    returns (
      int56[] memory tickCumulatives,
      uint160[] memory secondsPerLiquidityCumulatives,
      uint112[] memory volatilityCumulatives,
      uint256[] memory volumePerAvgLiquiditys
    )
  {
    return timepoints.getTimepoints(time, secondsAgos, tick, index, liquidity);
  }

  /// @inheritdoc IDataStorageOperator
  function getAverages(
    uint32 time,
    int24 tick,
    uint16 index,
    uint128 liquidity
  ) external view override onlyPool returns (uint112 TWVolatilityAverage, uint256 TWVolumePerLiqAverage) {
    return timepoints.getAverages(time, tick, index, liquidity);
  }

  /// @inheritdoc IDataStorageOperator
  function write(
    uint16 index,
    uint32 blockTimestamp,
    int24 tick,
    uint128 liquidity,
    uint128 volumePerLiquidity
  ) external override onlyPool returns (uint16 indexUpdated) {
    return timepoints.write(index, blockTimestamp, tick, liquidity, volumePerLiquidity);
  }

  /// @inheritdoc IDataStorageOperator
  function calculateVolumePerLiquidity(
    uint128 liquidity,
    int256 amount0,
    int256 amount1
  ) external pure override returns (uint128 volumePerLiquidity) {
    uint256 volume = Sqrt.sqrtAbs(amount0) * Sqrt.sqrtAbs(amount1);
    uint256 volumeShifted;
    if (volume >= 2 ** 192) volumeShifted = (type(uint256).max) / (liquidity > 0 ? liquidity : 1);
    else volumeShifted = (volume << 64) / (liquidity > 0 ? liquidity : 1);
    if (volumeShifted >= MAX_VOLUME_PER_LIQUIDITY) return MAX_VOLUME_PER_LIQUIDITY;
    else return uint128(volumeShifted);
  }

  /// @inheritdoc IDataStorageOperator
  function window() external pure override returns (uint32) {
    return DataStorage.WINDOW;
  }

  /// @inheritdoc IDataStorageOperator
  function getFees(
    uint32 _time,
    int24 _tick,
    uint16 _index,
    uint128 _liquidity
  ) external view override onlyPool returns (uint16 feeZto, uint16 feeOtz) {
    (uint88 volatilityAverage, uint256 volumePerLiqAverage) = timepoints.getAverages(_time, _tick, _index, _liquidity);

    feeZto = AdaptiveFee.getFee(volatilityAverage / 15, volumePerLiqAverage, feeConfigZto);
    feeOtz = AdaptiveFee.getFee(volatilityAverage / 15, volumePerLiqAverage, feeConfigOtz);
  }
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;

/**
 * @title The interface for the Algebra Factory
 * @dev Credit to Uniswap Labs under GPL-2.0-or-later license:
 * https://github.com/Uniswap/v3-core/tree/main/contracts/interfaces
 */
interface IAlgebraFactory {
  /**
   * @notice Emitted when the owner of the factory is changed
   * @param newOwner The owner after the owner was changed
   */
  event Owner(address indexed newOwner);

  /**
   * @notice Emitted when the vault address is changed
   * @param newVaultAddress The vault address after the address was changed
   */
  event VaultAddress(address indexed newVaultAddress);

  /**
   * @notice Emitted when a pool is created
   * @param token0 The first token of the pool by address sort order
   * @param token1 The second token of the pool by address sort order
   * @param pool The address of the created pool
   */
  event Pool(address indexed token0, address indexed token1, address pool);

  /**
   * @notice Emitted when the farming address is changed
   * @param newFarmingAddress The farming address after the address was changed
   */
  event FarmingAddress(address indexed newFarmingAddress);

  /**
   * @notice Emitted when the default community fee is changed
   * @param newDefaultCommunityFee The new default community fee value
   */
  event DefaultCommunityFee(uint8 newDefaultCommunityFee);

  event FeeConfiguration(
    uint16 alpha1,
    uint16 alpha2,
    uint32 beta1,
    uint32 beta2,
    uint16 gamma1,
    uint16 gamma2,
    uint32 volumeBeta,
    uint16 volumeGamma,
    uint16 baseFee
  );

  /**
   * @notice Returns the current owner of the factory
   * @dev Can be changed by the current owner via setOwner
   * @return The address of the factory owner
   */
  function owner() external view returns (address);

  /**
   * @notice Returns the current poolDeployerAddress
   * @return The address of the poolDeployer
   */
  function poolDeployer() external view returns (address);

  /**
   * @dev Is retrieved from the pools to restrict calling
   * certain functions not by a tokenomics contract
   * @return The tokenomics contract address
   */
  function farmingAddress() external view returns (address);

  /**
   * @notice Returns the default community fee
   * @return Fee which will be set at the creation of the pool
   */
  function defaultCommunityFee() external view returns (uint8);

  function vaultAddress() external view returns (address);

  /**
   * @notice Returns the pool address for a given pair of tokens and a fee, or address 0 if it does not exist
   * @dev tokenA and tokenB may be passed in either token0/token1 or token1/token0 order
   * @param tokenA The contract address of either token0 or token1
   * @param tokenB The contract address of the other token
   * @return pool The pool address
   */
  function poolByPair(address tokenA, address tokenB) external view returns (address pool);

  /**
   * @notice Creates a pool for the given two tokens and fee
   * @param tokenA One of the two tokens in the desired pool
   * @param tokenB The other of the two tokens in the desired pool
   * @dev tokenA and tokenB may be passed in either order: token0/token1 or token1/token0. tickSpacing is retrieved
   * from the fee. The call will revert if the pool already exists, the fee is invalid, or the token arguments
   * are invalid.
   * @return pool The address of the newly created pool
   */
  function createPool(address tokenA, address tokenB) external returns (address pool);

  /**
   * @notice Updates the owner of the factory
   * @dev Must be called by the current owner
   * @param _owner The new owner of the factory
   */
  function setOwner(address _owner) external;

  /**
   * @dev updates tokenomics address on the factory
   * @param _farmingAddress The new tokenomics contract address
   */
  function setFarmingAddress(address _farmingAddress) external;

  /**
   * @dev updates default community fee for new pools
   * @param newDefaultCommunityFee The new community fee, _must_ be <= MAX_COMMUNITY_FEE
   */
  function setDefaultCommunityFee(uint8 newDefaultCommunityFee) external;

  /**
   * @dev updates vault address on the factory
   * @param _vaultAddress The new vault contract address
   */
  function setVaultAddress(address _vaultAddress) external;

  /**
   * @notice Changes initial fee configuration for new pools
   * @dev changes coefficients for sigmoids: α / (1 + e^( (β-x) / γ))
   * alpha1 + alpha2 + baseFee (max possible fee) must be <= type(uint16).max
   * gammas must be > 0
   * @param alpha1 max value of the first sigmoid
   * @param alpha2 max value of the second sigmoid
   * @param beta1 shift along the x-axis for the first sigmoid
   * @param beta2 shift along the x-axis for the second sigmoid
   * @param gamma1 horizontal stretch factor for the first sigmoid
   * @param gamma2 horizontal stretch factor for the second sigmoid
   * @param volumeBeta shift along the x-axis for the outer volume-sigmoid
   * @param volumeGamma horizontal stretch factor the outer volume-sigmoid
   * @param baseFee minimum possible fee
   */
  function setBaseFeeConfiguration(
    uint16 alpha1,
    uint16 alpha2,
    uint32 beta1,
    uint32 beta2,
    uint16 gamma1,
    uint16 gamma2,
    uint32 volumeBeta,
    uint16 volumeGamma,
    uint16 baseFee
  ) external;
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity >=0.5.0;
pragma abicoder v2;

import '../libraries/AdaptiveFee.sol';

interface IDataStorageOperator {
  event FeeConfiguration(bool zto, AdaptiveFee.Configuration feeConfig);

  /**
   * @notice Returns data belonging to a certain timepoint
   * @param index The index of timepoint in the array
   * @dev There is more convenient function to fetch a timepoint: getTimepoints(). Which requires not an index but seconds
   * @return initialized Whether the timepoint has been initialized and the values are safe to use,
   * blockTimestamp The timestamp of the observation,
   * tickCumulative The tick multiplied by seconds elapsed for the life of the pool as of the timepoint timestamp,
   * secondsPerLiquidityCumulative The seconds per in range liquidity for the life of the pool as of the timepoint timestamp,
   * volatilityCumulative Cumulative standard deviation for the life of the pool as of the timepoint timestamp,
   * averageTick Time-weighted average tick,
   * volumePerLiquidityCumulative Cumulative swap volume per liquidity for the life of the pool as of the timepoint timestamp
   */
  function timepoints(uint256 index)
    external
    view
    returns (
      bool initialized,
      uint32 blockTimestamp,
      int56 tickCumulative,
      uint160 secondsPerLiquidityCumulative,
      uint88 volatilityCumulative,
      int24 averageTick,
      uint144 volumePerLiquidityCumulative
    );

  /// @notice Initialize the dataStorage array by writing the first slot. Called once for the lifecycle of the timepoints array
  /// @param time The time of the dataStorage initialization, via block.timestamp truncated to uint32
  /// @param tick Initial tick
  function initialize(uint32 time, int24 tick) external;

  /// @dev Reverts if an timepoint at or before the desired timepoint timestamp does not exist.
  /// 0 may be passed as `secondsAgo' to return the current cumulative values.
  /// If called with a timestamp falling between two timepoints, returns the counterfactual accumulator values
  /// at exactly the timestamp between the two timepoints.
  /// @param time The current block timestamp
  /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an timepoint
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param liquidity The current in-range pool liquidity
  /// @return tickCumulative The cumulative tick since the pool was first initialized, as of `secondsAgo`
  /// @return secondsPerLiquidityCumulative The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of `secondsAgo`
  /// @return volatilityCumulative The cumulative volatility value since the pool was first initialized, as of `secondsAgo`
  /// @return volumePerAvgLiquidity The cumulative volume per liquidity value since the pool was first initialized, as of `secondsAgo`
  function getSingleTimepoint(
    uint32 time,
    uint32 secondsAgo,
    int24 tick,
    uint16 index,
    uint128 liquidity
  )
    external
    view
    returns (
      int56 tickCumulative,
      uint160 secondsPerLiquidityCumulative,
      uint112 volatilityCumulative,
      uint256 volumePerAvgLiquidity
    );

  /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
  /// @dev Reverts if `secondsAgos` > oldest timepoint
  /// @param time The current block.timestamp
  /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an timepoint
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param liquidity The current in-range pool liquidity
  /// @return tickCumulatives The cumulative tick since the pool was first initialized, as of each `secondsAgo`
  /// @return secondsPerLiquidityCumulatives The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
  /// @return volatilityCumulatives The cumulative volatility values since the pool was first initialized, as of each `secondsAgo`
  /// @return volumePerAvgLiquiditys The cumulative volume per liquidity values since the pool was first initialized, as of each `secondsAgo`
  function getTimepoints(
    uint32 time,
    uint32[] memory secondsAgos,
    int24 tick,
    uint16 index,
    uint128 liquidity
  )
    external
    view
    returns (
      int56[] memory tickCumulatives,
      uint160[] memory secondsPerLiquidityCumulatives,
      uint112[] memory volatilityCumulatives,
      uint256[] memory volumePerAvgLiquiditys
    );

  /// @notice Returns average volatility in the range from time-WINDOW to time
  /// @param time The current block.timestamp
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param liquidity The current in-range pool liquidity
  /// @return TWVolatilityAverage The average volatility in the recent range
  /// @return TWVolumePerLiqAverage The average volume per liquidity in the recent range
  function getAverages(
    uint32 time,
    int24 tick,
    uint16 index,
    uint128 liquidity
  ) external view returns (uint112 TWVolatilityAverage, uint256 TWVolumePerLiqAverage);

  /// @notice Writes an dataStorage timepoint to the array
  /// @dev Writable at most once per block. Index represents the most recently written element. index must be tracked externally.
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param blockTimestamp The timestamp of the new timepoint
  /// @param tick The active tick at the time of the new timepoint
  /// @param liquidity The total in-range liquidity at the time of the new timepoint
  /// @param volumePerLiquidity The gmean(volumes)/liquidity at the time of the new timepoint
  /// @return indexUpdated The new index of the most recently written element in the dataStorage array
  function write(
    uint16 index,
    uint32 blockTimestamp,
    int24 tick,
    uint128 liquidity,
    uint128 volumePerLiquidity
  ) external returns (uint16 indexUpdated);

  /// @notice Changes fee configuration for the pool
  function changeFeeConfiguration(bool zto, AdaptiveFee.Configuration calldata feeConfig) external;

  /// @notice Calculates gmean(volume/liquidity) for block
  /// @param liquidity The current in-range pool liquidity
  /// @param amount0 Total amount of swapped token0
  /// @param amount1 Total amount of swapped token1
  /// @return volumePerLiquidity gmean(volume/liquidity) capped by 100000 << 64
  function calculateVolumePerLiquidity(
    uint128 liquidity,
    int256 amount0,
    int256 amount1
  ) external pure returns (uint128 volumePerLiquidity);

  /// @return windowLength Length of window used to calculate averages
  function window() external view returns (uint32 windowLength);

  /// @notice Calculates fee based on combination of sigmoids
  /// @param time The current block.timestamp
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param liquidity The current in-range pool liquidity
  /// @return feeZto The fee for ZtO swaps in hundredths of a bip, i.e. 1e-6
  /// @return feeOtz The fee for OtZ swaps in hundredths of a bip, i.e. 1e-6
  function getFees(
    uint32 time,
    int24 tick,
    uint16 index,
    uint128 liquidity
  ) external view returns (uint16 feeZto, uint16 feeOtz);
}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;

import './Constants.sol';

/// @title AdaptiveFee
/// @notice Calculates fee based on combination of sigmoids
library AdaptiveFee {
  // alpha1 + alpha2 + baseFee must be <= type(uint16).max
  struct Configuration {
    uint16 alpha1; // max value of the first sigmoid
    uint16 alpha2; // max value of the second sigmoid
    uint32 beta1; // shift along the x-axis for the first sigmoid
    uint32 beta2; // shift along the x-axis for the second sigmoid
    uint16 gamma1; // horizontal stretch factor for the first sigmoid
    uint16 gamma2; // horizontal stretch factor for the second sigmoid
    uint32 volumeBeta; // shift along the x-axis for the outer volume-sigmoid
    uint16 volumeGamma; // horizontal stretch factor the outer volume-sigmoid
    uint16 baseFee; // minimum possible fee
  }

  /// @notice Calculates fee based on formula:
  /// baseFee + sigmoidVolume(sigmoid1(volatility, volumePerLiquidity) + sigmoid2(volatility, volumePerLiquidity))
  /// maximum value capped by baseFee + alpha1 + alpha2
  function getFee(
    uint88 volatility,
    uint256 volumePerLiquidity,
    Configuration memory config
  ) internal pure returns (uint16 fee) {
    uint256 sumOfSigmoids = sigmoid(volatility, config.gamma1, config.alpha1, config.beta1) +
      sigmoid(volatility, config.gamma2, config.alpha2, config.beta2);

    if (sumOfSigmoids > type(uint16).max) {
      // should be impossible, just in case
      sumOfSigmoids = type(uint16).max;
    }

    return uint16(config.baseFee + sigmoid(volumePerLiquidity, config.volumeGamma, uint16(sumOfSigmoids), config.volumeBeta)); // safe since alpha1 + alpha2 + baseFee _must_ be <= type(uint16).max
  }

  /// @notice calculates α / (1 + e^( (β-x) / γ))
  /// that is a sigmoid with a maximum value of α, x-shifted by β, and stretched by γ
  /// @dev returns uint256 for fuzzy testing. Guaranteed that the result is not greater than alpha
  function sigmoid(
    uint256 x,
    uint16 g,
    uint16 alpha,
    uint256 beta
  ) internal pure returns (uint256 res) {
    if (x > beta) {
      x = x - beta;
      if (x >= 6 * uint256(g)) return alpha; // so x < 19 bits
      uint256 g8 = uint256(g)**8; // < 128 bits (8*16)
      uint256 ex = exp(x, g, g8); // < 155 bits
      res = (alpha * ex) / (g8 + ex); // in worst case: (16 + 155 bits) / 155 bits
      // so res <= alpha
    } else {
      x = beta - x;
      if (x >= 6 * uint256(g)) return 0; // so x < 19 bits
      uint256 g8 = uint256(g)**8; // < 128 bits (8*16)
      uint256 ex = g8 + exp(x, g, g8); // < 156 bits
      res = (alpha * g8) / ex; // in worst case: (16 + 128 bits) / 156 bits
      // g8 <= ex, so res <= alpha
    }
  }

  /// @notice calculates e^(x/g) * g^8 in a series, since (around zero):
  /// e^x = 1 + x + x^2/2 + ... + x^n/n! + ...
  /// e^(x/g) = 1 + x/g + x^2/(2*g^2) + ... + x^(n)/(g^n * n!) + ...
  function exp(
    uint256 x,
    uint16 g,
    uint256 gHighestDegree
  ) internal pure returns (uint256 res) {
    // calculating:
    // g**8 + x * g**7 + (x**2 * g**6) / 2 + (x**3 * g**5) / 6 + (x**4 * g**4) / 24 + (x**5 * g**3) / 120 + (x**6 * g^2) / 720 + x**7 * g / 5040 + x**8 / 40320

    // x**8 < 152 bits (19*8) and g**8 < 128 bits (8*16)
    // so each summand < 152 bits and res < 155 bits
    uint256 xLowestDegree = x;
    res = gHighestDegree; // g**8

    gHighestDegree /= g; // g**7
    res += xLowestDegree * gHighestDegree;

    gHighestDegree /= g; // g**6
    xLowestDegree *= x; // x**2
    res += (xLowestDegree * gHighestDegree) / 2;

    gHighestDegree /= g; // g**5
    xLowestDegree *= x; // x**3
    res += (xLowestDegree * gHighestDegree) / 6;

    gHighestDegree /= g; // g**4
    xLowestDegree *= x; // x**4
    res += (xLowestDegree * gHighestDegree) / 24;

    gHighestDegree /= g; // g**3
    xLowestDegree *= x; // x**5
    res += (xLowestDegree * gHighestDegree) / 120;

    gHighestDegree /= g; // g**2
    xLowestDegree *= x; // x**6
    res += (xLowestDegree * gHighestDegree) / 720;

    xLowestDegree *= x; // x**7
    res += (xLowestDegree * g) / 5040 + (xLowestDegree * x) / (40320);
  }
}

// SPDX-License-Identifier: GPL-2.0-or-later
pragma solidity =0.7.6;

library Constants {
  uint8 internal constant RESOLUTION = 96;
  uint256 internal constant Q96 = 0x1000000000000000000000000;
  uint256 internal constant Q128 = 0x100000000000000000000000000000000;
  // fee value in hundredths of a bip, i.e. 1e-6
  uint16 internal constant BASE_FEE = 100;
  int24 internal constant MAX_TICK_SPACING = 500;

  // max(uint128) / (MAX_TICK - MIN_TICK)
  uint128 internal constant MAX_LIQUIDITY_PER_TICK = 191757638537527648490752896198553;

  uint32 internal constant MAX_LIQUIDITY_COOLDOWN = 1 days;
  uint8 internal constant MAX_COMMUNITY_FEE = 250;
  uint256 internal constant COMMUNITY_FEE_DENOMINATOR = 1000;
}

// SPDX-License-Identifier: BUSL-1.1
pragma solidity =0.7.6;

import './FullMath.sol';

/// @title DataStorage
/// @notice Provides price, liquidity, volatility data useful for a wide variety of system designs
/// @dev Instances of stored dataStorage data, "timepoints", are collected in the dataStorage array
/// Timepoints are overwritten when the full length of the dataStorage array is populated.
/// The most recent timepoint is available by passing 0 to getSingleTimepoint()
library DataStorage {
  uint32 public constant WINDOW = 1 days;
  uint256 private constant UINT16_MODULO = 65536;
  struct Timepoint {
    bool initialized; // whether or not the timepoint is initialized
    uint32 blockTimestamp; // the block timestamp of the timepoint
    int56 tickCumulative; // the tick accumulator, i.e. tick * time elapsed since the pool was first initialized
    uint160 secondsPerLiquidityCumulative; // the seconds per liquidity since the pool was first initialized
    uint88 volatilityCumulative; // the volatility accumulator; overflow after ~34800 years is desired :)
    int24 averageTick; // average tick at this blockTimestamp
    uint144 volumePerLiquidityCumulative; // the gmean(volumes)/liquidity accumulator
  }

  /// @notice Calculates volatility between two sequential timepoints with resampling to 1 sec frequency
  /// @param dt Timedelta between timepoints, must be within uint32 range
  /// @param tick0 The tick at the left timepoint, must be within int24 range
  /// @param tick1 The tick at the right timepoint, must be within int24 range
  /// @param avgTick0 The average tick at the left timepoint, must be within int24 range
  /// @param avgTick1 The average tick at the right timepoint, must be within int24 range
  /// @return volatility The volatility between two sequential timepoints
  /// If the requirements for the parameters are met, it always fits 88 bits
  function _volatilityOnRange(
    int256 dt,
    int256 tick0,
    int256 tick1,
    int256 avgTick0,
    int256 avgTick1
  ) internal pure returns (uint256 volatility) {
    // On the time interval from the previous timepoint to the current
    // we can represent tick and average tick change as two straight lines:
    // tick = k*t + b, where k and b are some constants
    // avgTick = p*t + q, where p and q are some constants
    // we want to get sum of (tick(t) - avgTick(t))^2 for every t in the interval (0; dt]
    // so: (tick(t) - avgTick(t))^2 = ((k*t + b) - (p*t + q))^2 = (k-p)^2 * t^2 + 2(k-p)(b-q)t + (b-q)^2
    // since everything except t is a constant, we need to use progressions for t and t^2:
    // sum(t) for t from 1 to dt = dt*(dt + 1)/2 = sumOfSequence
    // sum(t^2) for t from 1 to dt = dt*(dt+1)*(2dt + 1)/6 = sumOfSquares
    // so result will be: (k-p)^2 * sumOfSquares + 2(k-p)(b-q)*sumOfSequence + dt*(b-q)^2
    int256 K = (tick1 - tick0) - (avgTick1 - avgTick0); // (k - p)*dt
    int256 B = (tick0 - avgTick0) * dt; // (b - q)*dt
    int256 sumOfSquares = (dt * (dt + 1) * (2 * dt + 1)); // sumOfSquares * 6
    int256 sumOfSequence = (dt * (dt + 1)); // sumOfSequence * 2
    volatility = uint256((K**2 * sumOfSquares + 6 * B * K * sumOfSequence + 6 * dt * B**2) / (6 * dt**2));
  }

  /// @notice Transforms a previous timepoint into a new timepoint, given the passage of time and the current tick and liquidity values
  /// @dev blockTimestamp _must_ be chronologically equal to or greater than last.blockTimestamp, safe for 0 or 1 overflows
  /// @param last The specified timepoint to be used in creation of new timepoint
  /// @param blockTimestamp The timestamp of the new timepoint
  /// @param tick The active tick at the time of the new timepoint
  /// @param prevTick The active tick at the time of the last timepoint
  /// @param liquidity The total in-range liquidity at the time of the new timepoint
  /// @param averageTick The average tick at the time of the new timepoint
  /// @param volumePerLiquidity The gmean(volumes)/liquidity at the time of the new timepoint
  /// @return Timepoint The newly populated timepoint
  function createNewTimepoint(
    Timepoint memory last,
    uint32 blockTimestamp,
    int24 tick,
    int24 prevTick,
    uint128 liquidity,
    int24 averageTick,
    uint128 volumePerLiquidity
  ) private pure returns (Timepoint memory) {
    uint32 delta = blockTimestamp - last.blockTimestamp;

    last.initialized = true;
    last.blockTimestamp = blockTimestamp;
    last.tickCumulative += int56(tick) * delta;
    last.secondsPerLiquidityCumulative += ((uint160(delta) << 128) / (liquidity > 0 ? liquidity : 1)); // just timedelta if liquidity == 0
    last.volatilityCumulative += uint88(_volatilityOnRange(delta, prevTick, tick, last.averageTick, averageTick)); // always fits 88 bits
    last.averageTick = averageTick;
    last.volumePerLiquidityCumulative += volumePerLiquidity;

    return last;
  }

  /// @notice comparator for 32-bit timestamps
  /// @dev safe for 0 or 1 overflows, a and b _must_ be chronologically before or equal to currentTime
  /// @param a A comparison timestamp from which to determine the relative position of `currentTime`
  /// @param b From which to determine the relative position of `currentTime`
  /// @param currentTime A timestamp truncated to 32 bits
  /// @return res Whether `a` is chronologically <= `b`
  function lteConsideringOverflow(
    uint32 a,
    uint32 b,
    uint32 currentTime
  ) private pure returns (bool res) {
    res = a > currentTime;
    if (res == b > currentTime) res = a <= b; // if both are on the same side
  }

  /// @dev guaranteed that the result is within the bounds of int24
  /// returns int256 for fuzzy tests
  function _getAverageTick(
    Timepoint[UINT16_MODULO] storage self,
    uint32 time,
    int24 tick,
    uint16 index,
    uint16 oldestIndex,
    uint32 lastTimestamp,
    int56 lastTickCumulative
  ) internal view returns (int256 avgTick) {
    uint32 oldestTimestamp = self[oldestIndex].blockTimestamp;
    int56 oldestTickCumulative = self[oldestIndex].tickCumulative;

    if (lteConsideringOverflow(oldestTimestamp, time - WINDOW, time)) {
      if (lteConsideringOverflow(lastTimestamp, time - WINDOW, time)) {
        index -= 1; // considering underflow
        Timepoint storage startTimepoint = self[index];
        avgTick = startTimepoint.initialized
          ? (lastTickCumulative - startTimepoint.tickCumulative) / (lastTimestamp - startTimepoint.blockTimestamp)
          : tick;
      } else {
        Timepoint memory startOfWindow = getSingleTimepoint(self, time, WINDOW, tick, index, oldestIndex, 0);

        //    current-WINDOW  last   current
        // _________*____________*_______*_
        //           ||||||||||||
        avgTick = (lastTickCumulative - startOfWindow.tickCumulative) / (lastTimestamp - time + WINDOW);
      }
    } else {
      avgTick = (lastTimestamp == oldestTimestamp) ? tick : (lastTickCumulative - oldestTickCumulative) / (lastTimestamp - oldestTimestamp);
    }
  }

  /// @notice Fetches the timepoints beforeOrAt and atOrAfter a target, i.e. where [beforeOrAt, atOrAfter] is satisfied.
  /// The result may be the same timepoint, or adjacent timepoints.
  /// @dev The answer must be contained in the array, used when the target is located within the stored timepoint
  /// boundaries: older than the most recent timepoint and younger, or the same age as, the oldest timepoint
  /// @param self The stored dataStorage array
  /// @param time The current block.timestamp
  /// @param target The timestamp at which the reserved timepoint should be for
  /// @param lastIndex The index of the timepoint that was most recently written to the timepoints array
  /// @param oldestIndex The index of the oldest timepoint in the timepoints array
  /// @return beforeOrAt The timepoint recorded before, or at, the target
  /// @return atOrAfter The timepoint recorded at, or after, the target
  function binarySearch(
    Timepoint[UINT16_MODULO] storage self,
    uint32 time,
    uint32 target,
    uint16 lastIndex,
    uint16 oldestIndex
  ) private view returns (Timepoint storage beforeOrAt, Timepoint storage atOrAfter) {
    uint256 left = oldestIndex; // oldest timepoint
    uint256 right = lastIndex >= oldestIndex ? lastIndex : lastIndex + UINT16_MODULO; // newest timepoint considering one index overflow
    uint256 current = (left + right) >> 1; // "middle" point between the boundaries

    do {
      beforeOrAt = self[uint16(current)]; // checking the "middle" point between the boundaries
      (bool initializedBefore, uint32 timestampBefore) = (beforeOrAt.initialized, beforeOrAt.blockTimestamp);
      if (initializedBefore) {
        if (lteConsideringOverflow(timestampBefore, target, time)) {
          // is current point before or at `target`?
          atOrAfter = self[uint16(current + 1)]; // checking the next point after "middle"
          (bool initializedAfter, uint32 timestampAfter) = (atOrAfter.initialized, atOrAfter.blockTimestamp);
          if (initializedAfter) {
            if (lteConsideringOverflow(target, timestampAfter, time)) {
              // is the "next" point after or at `target`?
              return (beforeOrAt, atOrAfter); // the only fully correct way to finish
            }
            left = current + 1; // "next" point is before the `target`, so looking in the right half
          } else {
            // beforeOrAt is initialized and <= target, and next timepoint is uninitialized
            // should be impossible if initial boundaries and `target` are correct
            return (beforeOrAt, beforeOrAt);
          }
        } else {
          right = current - 1; // current point is after the `target`, so looking in the left half
        }
      } else {
        // we've landed on an uninitialized timepoint, keep searching higher
        // should be impossible if initial boundaries and `target` are correct
        left = current + 1;
      }
      current = (left + right) >> 1; // calculating the new "middle" point index after updating the bounds
    } while (true);

    atOrAfter = beforeOrAt; // code is unreachable, to suppress compiler warning
    assert(false);
  }

  /// @dev Reverts if an timepoint at or before the desired timepoint timestamp does not exist.
  /// 0 may be passed as `secondsAgo' to return the current cumulative values.
  /// If called with a timestamp falling between two timepoints, returns the counterfactual accumulator values
  /// at exactly the timestamp between the two timepoints.
  /// @param self The stored dataStorage array
  /// @param time The current block timestamp
  /// @param secondsAgo The amount of time to look back, in seconds, at which point to return an timepoint
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param oldestIndex The index of the oldest timepoint
  /// @param liquidity The current in-range pool liquidity
  /// @return targetTimepoint desired timepoint or it's approximation
  function getSingleTimepoint(
    Timepoint[UINT16_MODULO] storage self,
    uint32 time,
    uint32 secondsAgo,
    int24 tick,
    uint16 index,
    uint16 oldestIndex,
    uint128 liquidity
  ) internal view returns (Timepoint memory targetTimepoint) {
    uint32 target = time - secondsAgo;

    // if target is newer than last timepoint
    if (secondsAgo == 0 || lteConsideringOverflow(self[index].blockTimestamp, target, time)) {
      Timepoint memory last = self[index];
      if (last.blockTimestamp == target) {
        return last;
      } else {
        // otherwise, we need to add new timepoint
        int24 avgTick = int24(_getAverageTick(self, time, tick, index, oldestIndex, last.blockTimestamp, last.tickCumulative));
        int24 prevTick = tick;
        {
          if (index != oldestIndex) {
            Timepoint memory prevLast;
            Timepoint storage _prevLast = self[index - 1]; // considering index underflow
            prevLast.blockTimestamp = _prevLast.blockTimestamp;
            prevLast.tickCumulative = _prevLast.tickCumulative;
            prevTick = int24((last.tickCumulative - prevLast.tickCumulative) / (last.blockTimestamp - prevLast.blockTimestamp));
          }
        }
        return createNewTimepoint(last, target, tick, prevTick, liquidity, avgTick, 0);
      }
    }

    require(lteConsideringOverflow(self[oldestIndex].blockTimestamp, target, time), 'OLD');
    (Timepoint memory beforeOrAt, Timepoint memory atOrAfter) = binarySearch(self, time, target, index, oldestIndex);

    if (target == atOrAfter.blockTimestamp) {
      return atOrAfter; // we're at the right boundary
    }

    if (target != beforeOrAt.blockTimestamp) {
      // we're in the middle
      uint32 timepointTimeDelta = atOrAfter.blockTimestamp - beforeOrAt.blockTimestamp;
      uint32 targetDelta = target - beforeOrAt.blockTimestamp;

      // For gas savings the resulting point is written to beforeAt
      beforeOrAt.tickCumulative += ((atOrAfter.tickCumulative - beforeOrAt.tickCumulative) / timepointTimeDelta) * targetDelta;
      beforeOrAt.secondsPerLiquidityCumulative += uint160(
        (uint256(atOrAfter.secondsPerLiquidityCumulative - beforeOrAt.secondsPerLiquidityCumulative) * targetDelta) / timepointTimeDelta
      );
      beforeOrAt.volatilityCumulative += ((atOrAfter.volatilityCumulative - beforeOrAt.volatilityCumulative) / timepointTimeDelta) * targetDelta;
      beforeOrAt.volumePerLiquidityCumulative +=
        ((atOrAfter.volumePerLiquidityCumulative - beforeOrAt.volumePerLiquidityCumulative) / timepointTimeDelta) *
        targetDelta;
    }

    // we're at the left boundary or at the middle
    return beforeOrAt;
  }

  /// @notice Returns the accumulator values as of each time seconds ago from the given time in the array of `secondsAgos`
  /// @dev Reverts if `secondsAgos` > oldest timepoint
  /// @param self The stored dataStorage array
  /// @param time The current block.timestamp
  /// @param secondsAgos Each amount of time to look back, in seconds, at which point to return an timepoint
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param liquidity The current in-range pool liquidity
  /// @return tickCumulatives The tick * time elapsed since the pool was first initialized, as of each `secondsAgo`
  /// @return secondsPerLiquidityCumulatives The cumulative seconds / max(1, liquidity) since the pool was first initialized, as of each `secondsAgo`
  /// @return volatilityCumulatives The cumulative volatility values since the pool was first initialized, as of each `secondsAgo`
  /// @return volumePerAvgLiquiditys The cumulative volume per liquidity values since the pool was first initialized, as of each `secondsAgo`
  function getTimepoints(
    Timepoint[UINT16_MODULO] storage self,
    uint32 time,
    uint32[] memory secondsAgos,
    int24 tick,
    uint16 index,
    uint128 liquidity
  )
    internal
    view
    returns (
      int56[] memory tickCumulatives,
      uint160[] memory secondsPerLiquidityCumulatives,
      uint112[] memory volatilityCumulatives,
      uint256[] memory volumePerAvgLiquiditys
    )
  {
    tickCumulatives = new int56[](secondsAgos.length);
    secondsPerLiquidityCumulatives = new uint160[](secondsAgos.length);
    volatilityCumulatives = new uint112[](secondsAgos.length);
    volumePerAvgLiquiditys = new uint256[](secondsAgos.length);

    uint16 oldestIndex;
    // check if we have overflow in the past
    uint16 nextIndex = index + 1; // considering overflow
    if (self[nextIndex].initialized) {
      oldestIndex = nextIndex;
    }

    Timepoint memory current;
    for (uint256 i = 0; i < secondsAgos.length; i++) {
      current = getSingleTimepoint(self, time, secondsAgos[i], tick, index, oldestIndex, liquidity);
      (tickCumulatives[i], secondsPerLiquidityCumulatives[i], volatilityCumulatives[i], volumePerAvgLiquiditys[i]) = (
        current.tickCumulative,
        current.secondsPerLiquidityCumulative,
        current.volatilityCumulative,
        current.volumePerLiquidityCumulative
      );
    }
  }

  /// @notice Returns average volatility in the range from time-WINDOW to time
  /// @param self The stored dataStorage array
  /// @param time The current block.timestamp
  /// @param tick The current tick
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param liquidity The current in-range pool liquidity
  /// @return volatilityAverage The average volatility in the recent range
  /// @return volumePerLiqAverage The average volume per liquidity in the recent range
  function getAverages(
    Timepoint[UINT16_MODULO] storage self,
    uint32 time,
    int24 tick,
    uint16 index,
    uint128 liquidity
  ) internal view returns (uint88 volatilityAverage, uint256 volumePerLiqAverage) {
    uint16 oldestIndex;
    Timepoint storage oldest = self[0];
    uint16 nextIndex = index + 1; // considering overflow
    if (self[nextIndex].initialized) {
      oldest = self[nextIndex];
      oldestIndex = nextIndex;
    }

    Timepoint memory endOfWindow = getSingleTimepoint(self, time, 0, tick, index, oldestIndex, liquidity);

    uint32 oldestTimestamp = oldest.blockTimestamp;
    if (lteConsideringOverflow(oldestTimestamp, time - WINDOW, time)) {
      Timepoint memory startOfWindow = getSingleTimepoint(self, time, WINDOW, tick, index, oldestIndex, liquidity);
      return (
        (endOfWindow.volatilityCumulative - startOfWindow.volatilityCumulative) / WINDOW,
        uint256(endOfWindow.volumePerLiquidityCumulative - startOfWindow.volumePerLiquidityCumulative) >> 57
      );
    } else if (time != oldestTimestamp) {
      uint88 _oldestVolatilityCumulative = oldest.volatilityCumulative;
      uint144 _oldestVolumePerLiquidityCumulative = oldest.volumePerLiquidityCumulative;
      return (
        (endOfWindow.volatilityCumulative - _oldestVolatilityCumulative) / (time - oldestTimestamp),
        uint256(endOfWindow.volumePerLiquidityCumulative - _oldestVolumePerLiquidityCumulative) >> 57
      );
    }
  }

  /// @notice Initialize the dataStorage array by writing the first slot. Called once for the lifecycle of the timepoints array
  /// @param self The stored dataStorage array
  /// @param time The time of the dataStorage initialization, via block.timestamp truncated to uint32
  /// @param tick Initial tick
  function initialize(
    Timepoint[UINT16_MODULO] storage self,
    uint32 time,
    int24 tick
  ) internal {
    require(!self[0].initialized);
    self[0].initialized = true;
    self[0].blockTimestamp = time;
    self[0].averageTick = tick;
  }

  /// @notice Writes an dataStorage timepoint to the array
  /// @dev Writable at most once per block. Index represents the most recently written element. index must be tracked externally.
  /// @param self The stored dataStorage array
  /// @param index The index of the timepoint that was most recently written to the timepoints array
  /// @param blockTimestamp The timestamp of the new timepoint
  /// @param tick The active tick at the time of the new timepoint
  /// @param liquidity The total in-range liquidity at the time of the new timepoint
  /// @param volumePerLiquidity The gmean(volumes)/liquidity at the time of the new timepoint
  /// @return indexUpdated The new index of the most recently written element in the dataStorage array
  function write(
    Timepoint[UINT16_MODULO] storage self,
    uint16 index,
    uint32 blockTimestamp,
    int24 tick,
    uint128 liquidity,
    uint128 volumePerLiquidity
  ) internal returns (uint16 indexUpdated) {
    Timepoint storage _last = self[index];
    // early return if we've already written an timepoint this block
    if (_last.blockTimestamp == blockTimestamp) {
      return index;
    }
    Timepoint memory last = _last;

    // get next index considering overflow
    indexUpdated = index + 1;

    uint16 oldestIndex;
    // check if we have overflow in the past
    if (self[indexUpdated].initialized) {
      oldestIndex = indexUpdated;
    }

    int24 avgTick = int24(_getAverageTick(self, blockTimestamp, tick, index, oldestIndex, last.blockTimestamp, last.tickCumulative));
    int24 prevTick = tick;
    if (index != oldestIndex) {
      Timepoint storage _prevLast = self[index - 1]; // considering index underflow
      uint32 _prevLastBlockTimestamp = _prevLast.blockTimestamp;
      int56 _prevLastTickCumulative = _prevLast.tickCumulative;
      prevTick = int24((last.tickCumulative - _prevLastTickCumulative) / (last.blockTimestamp - _prevLastBlockTimestamp));
    }

    self[indexUpdated] = createNewTimepoint(last, blockTimestamp, tick, prevTick, liquidity, avgTick, volumePerLiquidity);
  }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.4.0 || ^0.5.0 || ^0.6.0 || ^0.7.0;

/// @title Contains 512-bit math functions
/// @notice Facilitates multiplication and division that can have overflow of an intermediate value without any loss of precision
/// @dev Handles "phantom overflow" i.e., allows multiplication and division where an intermediate value overflows 256 bits
library FullMath {
  /// @notice Calculates floor(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
  /// @param a The multiplicand
  /// @param b The multiplier
  /// @param denominator The divisor
  /// @return result The 256-bit result
  /// @dev Credit to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv
  function mulDiv(
    uint256 a,
    uint256 b,
    uint256 denominator
  ) internal pure returns (uint256 result) {
    // 512-bit multiply [prod1 prod0] = a * b
    // Compute the product mod 2**256 and mod 2**256 - 1
    // then use the Chinese Remainder Theorem to reconstruct
    // the 512 bit result. The result is stored in two 256
    // variables such that product = prod1 * 2**256 + prod0
    uint256 prod0 = a * b; // Least significant 256 bits of the product
    uint256 prod1; // Most significant 256 bits of the product
    assembly {
      let mm := mulmod(a, b, not(0))
      prod1 := sub(sub(mm, prod0), lt(mm, prod0))
    }

    // Make sure the result is less than 2**256.
    // Also prevents denominator == 0
    require(denominator > prod1);

    // Handle non-overflow cases, 256 by 256 division
    if (prod1 == 0) {
      assembly {
        result := div(prod0, denominator)
      }
      return result;
    }

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

    // Make division exact by subtracting the remainder from [prod1 prod0]
    // Compute remainder using mulmod
    // Subtract 256 bit remainder from 512 bit number
    assembly {
      let remainder := mulmod(a, b, denominator)
      prod1 := sub(prod1, gt(remainder, prod0))
      prod0 := sub(prod0, remainder)
    }

    // Factor powers of two out of denominator
    // Compute largest power of two divisor of denominator.
    // Always >= 1.
    uint256 twos = -denominator & denominator;
    // Divide denominator by power of two
    assembly {
      denominator := div(denominator, twos)
    }

    // Divide [prod1 prod0] by the factors of two
    assembly {
      prod0 := div(prod0, twos)
    }
    // Shift in bits from prod1 into prod0. For this we need
    // to flip `twos` such that it is 2**256 / twos.
    // If twos is zero, then it becomes one
    assembly {
      twos := add(div(sub(0, twos), twos), 1)
    }
    prod0 |= prod1 * twos;

    // Invert denominator mod 2**256
    // Now that denominator is an odd number, it has an inverse
    // modulo 2**256 such that denominator * inv = 1 mod 2**256.
    // Compute the inverse by starting with a seed that is correct
    // correct for four bits. That is, denominator * inv = 1 mod 2**4
    uint256 inv = (3 * denominator) ^ 2;
    // Now use 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.
    inv *= 2 - denominator * inv; // inverse mod 2**8
    inv *= 2 - denominator * inv; // inverse mod 2**16
    inv *= 2 - denominator * inv; // inverse mod 2**32
    inv *= 2 - denominator * inv; // inverse mod 2**64
    inv *= 2 - denominator * inv; // inverse mod 2**128
    inv *= 2 - denominator * inv; // 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 * inv;
    return result;
  }

  /// @notice Calculates ceil(a×b÷denominator) with full precision. Throws if result overflows a uint256 or denominator == 0
  /// @param a The multiplicand
  /// @param b The multiplier
  /// @param denominator The divisor
  /// @return result The 256-bit result
  function mulDivRoundingUp(
    uint256 a,
    uint256 b,
    uint256 denominator
  ) internal pure returns (uint256 result) {
    if (a == 0 || ((result = a * b) / a == b)) {
      require(denominator > 0);
      assembly {
        result := add(div(result, denominator), gt(mod(result, denominator), 0))
      }
    } else {
      result = mulDiv(a, b, denominator);
      if (mulmod(a, b, denominator) > 0) {
        require(result < type(uint256).max);
        result++;
      }
    }
  }

  /// @notice Returns ceil(x / y)
  /// @dev division by 0 has unspecified behavior, and must be checked externally
  /// @param x The dividend
  /// @param y The divisor
  /// @return z The quotient, ceil(x / y)
  function divRoundingUp(uint256 x, uint256 y) internal pure returns (uint256 z) {
    assembly {
      z := add(div(x, y), gt(mod(x, y), 0))
    }
  }
}

// SPDX-License-Identifier: GPL-3.0-or-later
pragma solidity ^0.5.0 || ^0.6.0 || ^0.7.0 || ^0.8.0;

library Sqrt {
  /// @notice Gets the square root of the absolute value of the parameter
  function sqrtAbs(int256 _x) internal pure returns (uint256 result) {
    // get abs value
    int256 mask = _x >> (256 - 1);
    uint256 x = uint256((_x ^ mask) - mask);
    if (x == 0) result = 0;
    else {
      uint256 xx = x;
      uint256 r = 1;
      if (xx >= 0x100000000000000000000000000000000) {
        xx >>= 128;
        r <<= 64;
      }
      if (xx >= 0x10000000000000000) {
        xx >>= 64;
        r <<= 32;
      }
      if (xx >= 0x100000000) {
        xx >>= 32;
        r <<= 16;
      }
      if (xx >= 0x10000) {
        xx >>= 16;
        r <<= 8;
      }
      if (xx >= 0x100) {
        xx >>= 8;
        r <<= 4;
      }
      if (xx >= 0x10) {
        xx >>= 4;
        r <<= 2;
      }
      if (xx >= 0x8) {
        r <<= 1;
      }
      r = (r + x / r) >> 1;
      r = (r + x / r) >> 1;
      r = (r + x / r) >> 1;
      r = (r + x / r) >> 1;
      r = (r + x / r) >> 1;
      r = (r + x / r) >> 1;
      r = (r + x / r) >> 1; // @dev Seven iterations should be enough.
      uint256 r1 = x / r;
      result = r < r1 ? r : r1;
    }
  }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 0
  },
  "metadata": {
    "bytecodeHash": "none",
    "useLiteralContent": true
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[{"internalType":"address","name":"_pool","type":"address"}],"stateMutability":"nonpayable","type":"constructor"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"bool","name":"zto","type":"bool"},{"components":[{"internalType":"uint16","name":"alpha1","type":"uint16"},{"internalType":"uint16","name":"alpha2","type":"uint16"},{"internalType":"uint32","name":"beta1","type":"uint32"},{"internalType":"uint32","name":"beta2","type":"uint32"},{"internalType":"uint16","name":"gamma1","type":"uint16"},{"internalType":"uint16","name":"gamma2","type":"uint16"},{"internalType":"uint32","name":"volumeBeta","type":"uint32"},{"internalType":"uint16","name":"volumeGamma","type":"uint16"},{"internalType":"uint16","name":"baseFee","type":"uint16"}],"indexed":false,"internalType":"struct AdaptiveFee.Configuration","name":"feeConfig","type":"tuple"}],"name":"FeeConfiguration","type":"event"},{"inputs":[{"internalType":"uint128","name":"liquidity","type":"uint128"},{"internalType":"int256","name":"amount0","type":"int256"},{"internalType":"int256","name":"amount1","type":"int256"}],"name":"calculateVolumePerLiquidity","outputs":[{"internalType":"uint128","name":"volumePerLiquidity","type":"uint128"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"bool","name":"zto","type":"bool"},{"components":[{"internalType":"uint16","name":"alpha1","type":"uint16"},{"internalType":"uint16","name":"alpha2","type":"uint16"},{"internalType":"uint32","name":"beta1","type":"uint32"},{"internalType":"uint32","name":"beta2","type":"uint32"},{"internalType":"uint16","name":"gamma1","type":"uint16"},{"internalType":"uint16","name":"gamma2","type":"uint16"},{"internalType":"uint32","name":"volumeBeta","type":"uint32"},{"internalType":"uint16","name":"volumeGamma","type":"uint16"},{"internalType":"uint16","name":"baseFee","type":"uint16"}],"internalType":"struct AdaptiveFee.Configuration","name":"_feeConfig","type":"tuple"}],"name":"changeFeeConfiguration","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"feeConfigOtz","outputs":[{"internalType":"uint16","name":"alpha1","type":"uint16"},{"internalType":"uint16","name":"alpha2","type":"uint16"},{"internalType":"uint32","name":"beta1","type":"uint32"},{"internalType":"uint32","name":"beta2","type":"uint32"},{"internalType":"uint16","name":"gamma1","type":"uint16"},{"internalType":"uint16","name":"gamma2","type":"uint16"},{"internalType":"uint32","name":"volumeBeta","type":"uint32"},{"internalType":"uint16","name":"volumeGamma","type":"uint16"},{"internalType":"uint16","name":"baseFee","type":"uint16"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"feeConfigZto","outputs":[{"internalType":"uint16","name":"alpha1","type":"uint16"},{"internalType":"uint16","name":"alpha2","type":"uint16"},{"internalType":"uint32","name":"beta1","type":"uint32"},{"internalType":"uint32","name":"beta2","type":"uint32"},{"internalType":"uint16","name":"gamma1","type":"uint16"},{"internalType":"uint16","name":"gamma2","type":"uint16"},{"internalType":"uint32","name":"volumeBeta","type":"uint32"},{"internalType":"uint16","name":"volumeGamma","type":"uint16"},{"internalType":"uint16","name":"baseFee","type":"uint16"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint32","name":"time","type":"uint32"},{"internalType":"int24","name":"tick","type":"int24"},{"internalType":"uint16","name":"index","type":"uint16"},{"internalType":"uint128","name":"liquidity","type":"uint128"}],"name":"getAverages","outputs":[{"internalType":"uint112","name":"TWVolatilityAverage","type":"uint112"},{"internalType":"uint256","name":"TWVolumePerLiqAverage","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint32","name":"_time","type":"uint32"},{"internalType":"int24","name":"_tick","type":"int24"},{"internalType":"uint16","name":"_index","type":"uint16"},{"internalType":"uint128","name":"_liquidity","type":"uint128"}],"name":"getFees","outputs":[{"internalType":"uint16","name":"feeZto","type":"uint16"},{"internalType":"uint16","name":"feeOtz","type":"uint16"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint32","name":"time","type":"uint32"},{"internalType":"uint32","name":"secondsAgo","type":"uint32"},{"internalType":"int24","name":"tick","type":"int24"},{"internalType":"uint16","name":"index","type":"uint16"},{"internalType":"uint128","name":"liquidity","type":"uint128"}],"name":"getSingleTimepoint","outputs":[{"internalType":"int56","name":"tickCumulative","type":"int56"},{"internalType":"uint160","name":"secondsPerLiquidityCumulative","type":"uint160"},{"internalType":"uint112","name":"volatilityCumulative","type":"uint112"},{"internalType":"uint256","name":"volumePerAvgLiquidity","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint32","name":"time","type":"uint32"},{"internalType":"uint32[]","name":"secondsAgos","type":"uint32[]"},{"internalType":"int24","name":"tick","type":"int24"},{"internalType":"uint16","name":"index","type":"uint16"},{"internalType":"uint128","name":"liquidity","type":"uint128"}],"name":"getTimepoints","outputs":[{"internalType":"int56[]","name":"tickCumulatives","type":"int56[]"},{"internalType":"uint160[]","name":"secondsPerLiquidityCumulatives","type":"uint160[]"},{"internalType":"uint112[]","name":"volatilityCumulatives","type":"uint112[]"},{"internalType":"uint256[]","name":"volumePerAvgLiquiditys","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint32","name":"time","type":"uint32"},{"internalType":"int24","name":"tick","type":"int24"}],"name":"initialize","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"","type":"uint256"}],"name":"timepoints","outputs":[{"internalType":"bool","name":"initialized","type":"bool"},{"internalType":"uint32","name":"blockTimestamp","type":"uint32"},{"internalType":"int56","name":"tickCumulative","type":"int56"},{"internalType":"uint160","name":"secondsPerLiquidityCumulative","type":"uint160"},{"internalType":"uint88","name":"volatilityCumulative","type":"uint88"},{"internalType":"int24","name":"averageTick","type":"int24"},{"internalType":"uint144","name":"volumePerLiquidityCumulative","type":"uint144"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"window","outputs":[{"internalType":"uint32","name":"","type":"uint32"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"uint16","name":"index","type":"uint16"},{"internalType":"uint32","name":"blockTimestamp","type":"uint32"},{"internalType":"int24","name":"tick","type":"int24"},{"internalType":"uint128","name":"liquidity","type":"uint128"},{"internalType":"uint128","name":"volumePerLiquidity","type":"uint128"}],"name":"write","outputs":[{"internalType":"uint16","name":"indexUpdated","type":"uint16"}],"stateMutability":"nonpayable","type":"function"}]

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