// File: solidity/contracts/DataFeed.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {PipelineManagement, Governable} from './peripherals/PipelineManagement.sol';
import {IDataFeed, IDataFeedStrategy, IUniswapV3Pool, IConnextSenderAdapter, IBridgeSenderAdapter, IOracleSidechain} from '../interfaces/IDataFeed.sol';
import {Create2Address} from '../libraries/Create2Address.sol';

/// @title The DataFeed interface
/// @notice Queries UniV3Pools, stores history proofs on chain, handles data broadcast
contract DataFeed is IDataFeed, PipelineManagement {
  /// @inheritdoc IDataFeed
  IDataFeedStrategy public strategy;

  /// @inheritdoc IDataFeed
  mapping(bytes32 => PoolState) public lastPoolStateObserved;

  mapping(bytes32 => bool) internal _observedKeccak;

  address internal constant _UNISWAP_FACTORY = 0x1F98431c8aD98523631AE4a59f267346ea31F984;
  bytes32 internal constant _POOL_INIT_CODE_HASH = 0xe34f199b19b2b4f47f68442619d555527d244f78a3297ea89325f843f87b8b54;

  constructor(address _governor, IDataFeedStrategy _strategy) Governable(_governor) {
    _setStrategy(_strategy);
  }

  /// @inheritdoc IDataFeed
  function sendObservations(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _chainId,
    bytes32 _poolSalt,
    uint24 _poolNonce,
    IOracleSidechain.ObservationData[] memory _observationsData
  ) external validatePipeline(_chainId, _poolSalt, _poolNonce) {
    (uint32 _destinationDomainId, address _dataReceiver) = validateSenderAdapter(_bridgeSenderAdapter, _chainId);

    {
      bytes32 _resultingKeccak = keccak256(abi.encode(_poolSalt, _poolNonce, _observationsData));
      if (!_observedKeccak[_resultingKeccak]) revert UnknownHash();
    }

    _bridgeSenderAdapter.bridgeObservations(_dataReceiver, _destinationDomainId, _observationsData, _poolSalt, _poolNonce);
    emit DataBroadcast(_poolSalt, _poolNonce, _chainId, _dataReceiver, _bridgeSenderAdapter);
  }

  /// @inheritdoc IDataFeed
  function fetchObservations(bytes32 _poolSalt, uint32[] calldata _secondsAgos) external onlyStrategy validatePool(_poolSalt) {
    IOracleSidechain.ObservationData[] memory _observationsData;
    PoolState memory _lastPoolStateObserved = lastPoolStateObserved[_poolSalt];

    {
      IUniswapV3Pool _pool = IUniswapV3Pool(Create2Address.computeAddress(_UNISWAP_FACTORY, _poolSalt, _POOL_INIT_CODE_HASH));
      (int56[] memory _tickCumulatives, ) = _pool.observe(_secondsAgos);

      uint32 _secondsNow = uint32(block.timestamp); // truncation is desired
      uint32 _secondsAgo;
      int56 _tickCumulative;
      int24 _arithmeticMeanTick;
      uint256 _secondsAgosLength = _secondsAgos.length;
      uint256 _i;

      // If first fetched observation
      if (_lastPoolStateObserved.blockTimestamp == 0) {
        if (_secondsAgosLength == 1) revert InvalidSecondsAgos();
        // Initializes timestamp and cumulative with first item
        _observationsData = new IOracleSidechain.ObservationData[](_secondsAgosLength - 1);
        _secondsAgo = _secondsAgos[0];
        _tickCumulative = _tickCumulatives[0];
        // Skips first loop iteration
        // Cannot not calculate twap (there is no last tickCumulative)
        unchecked {
          ++_i;
        }
      } else {
        // Initializes timestamp and cumulative with cache
        _observationsData = new IOracleSidechain.ObservationData[](_secondsAgosLength);
        _secondsAgo = _secondsNow - _lastPoolStateObserved.blockTimestamp;
        _tickCumulative = _lastPoolStateObserved.tickCumulative;
      }

      uint32 _delta;
      int56 _tickCumulativesDelta;
      uint256 _observationsDataIndex;

      for (; _i < _secondsAgosLength; ) {
        // Twap is calculated using the last recorded tickCumulative and time
        _tickCumulativesDelta = _tickCumulatives[_i] - _tickCumulative;
        _delta = _secondsAgo - _secondsAgos[_i];
        _arithmeticMeanTick = int24(_tickCumulativesDelta / int32(_delta));

        // Always round to negative infinity
        if (_tickCumulativesDelta < 0 && (_tickCumulativesDelta % int32(_delta) != 0)) --_arithmeticMeanTick;

        // Stores blockTimestamp and tick in observations array
        _observationsData[_observationsDataIndex++] = IOracleSidechain.ObservationData({
          blockTimestamp: _secondsNow - _secondsAgo,
          tick: _arithmeticMeanTick
        });

        // Updates state for next iteration calculation
        _secondsAgo = _secondsAgos[_i];
        _tickCumulative = _tickCumulatives[_i];

        unchecked {
          ++_i;
        }
      }

      _lastPoolStateObserved = PoolState({
        poolNonce: _lastPoolStateObserved.poolNonce + 1,
        blockTimestamp: _secondsNow - _secondsAgo,
        tickCumulative: _tickCumulative,
        arithmeticMeanTick: _arithmeticMeanTick
      });
    }

    // Stores last pool state in the contract cache
    lastPoolStateObserved[_poolSalt] = _lastPoolStateObserved;

    // Whitelists keccak256 to be broadcast to other chains
    bytes32 _resultingKeccak = keccak256(abi.encode(_poolSalt, _lastPoolStateObserved.poolNonce, _observationsData));
    _observedKeccak[_resultingKeccak] = true;

    // Emits event with data to be read off-chain and used as broadcast input parameters
    emit PoolObserved(_poolSalt, _lastPoolStateObserved.poolNonce, _observationsData);
  }

  /// @inheritdoc IDataFeed
  function setStrategy(IDataFeedStrategy _strategy) external onlyGovernor {
    _setStrategy(_strategy);
  }

  function _setStrategy(IDataFeedStrategy _strategy) private {
    strategy = _strategy;
    emit StrategySet(_strategy);
  }

  modifier onlyStrategy() {
    if (msg.sender != address(strategy)) revert OnlyStrategy();
    _;
  }
}

// File: solidity/interfaces/IDataFeed.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IUniswapV3Pool} from '@uniswap/v3-core/contracts/interfaces/IUniswapV3Pool.sol';
import {IPipelineManagement} from './peripherals/IPipelineManagement.sol';
import {IDataFeedStrategy} from './IDataFeedStrategy.sol';
import {IConnextSenderAdapter} from './bridges/IConnextSenderAdapter.sol';
import {IBridgeSenderAdapter} from './bridges/IBridgeSenderAdapter.sol';
import {IOracleSidechain} from './IOracleSidechain.sol';

interface IDataFeed is IPipelineManagement {
  // STRUCTS

  struct PoolState {
    uint24 poolNonce; // Nonce of the last observation
    uint32 blockTimestamp; // Last observed timestamp
    int56 tickCumulative; // Pool's tickCumulative at last observed timestamp
    int24 arithmeticMeanTick; // Last calculated twap
  }

  // STATE VARIABLES

  /// @return _strategy Address of the contract allowed to trigger an oracle update
  /// @dev The strategy should define when and with which timestamps the pool should be read
  function strategy() external view returns (IDataFeedStrategy _strategy);

  /// @notice Tracks the last observed pool state by salt
  /// @param _poolSalt The id of both the oracle and the pool
  /// @return _lastPoolNonceObserved Nonce of the last observation
  /// @return _lastBlockTimestampObserved Last observed timestamp
  /// @return _lastTickCumulativeObserved Pool's tickCumulative at last observed timestamp
  /// @return _lastArithmeticMeanTickObserved Last calculated twap
  function lastPoolStateObserved(bytes32 _poolSalt)
    external
    view
    returns (
      uint24 _lastPoolNonceObserved,
      uint32 _lastBlockTimestampObserved,
      int56 _lastTickCumulativeObserved,
      int24 _lastArithmeticMeanTickObserved
    );

  // EVENTS

  /// @notice Emitted when a data batch is broadcast
  /// @param _bridgeSenderAdapter Address of the bridge sender adapter
  /// @param _dataReceiver Address of the targetted contract receiving the data
  /// @param _chainId Identifier number of the targetted chain
  /// @param _poolSalt Identifier of the pool to which the data corresponds
  /// @param _poolNonce Identifier number of time period to which the data corresponds
  event DataBroadcast(
    bytes32 indexed _poolSalt,
    uint24 _poolNonce,
    uint32 _chainId,
    address _dataReceiver,
    IBridgeSenderAdapter _bridgeSenderAdapter
  );

  /// @notice Emitted when a data batch is observed
  /// @param _poolSalt Identifier of the pool to which the data corresponds
  /// @param _poolNonce Identifier number of time period to which the data corresponds
  /// @param _observationsData Timestamp and tick data of the broadcast nonce
  event PoolObserved(bytes32 indexed _poolSalt, uint24 _poolNonce, IOracleSidechain.ObservationData[] _observationsData);

  /// @notice Emitted when the Strategy contract is set
  /// @param _strategy Address of the new strategy
  event StrategySet(IDataFeedStrategy _strategy);

  // ERRORS

  /// @notice Throws if set of secondsAgos is invalid to update the oracle
  error InvalidSecondsAgos();

  /// @notice Throws if an unknown dataset is being broadcast
  error UnknownHash();

  /// @notice Throws if a contract other than Strategy calls an update
  error OnlyStrategy();

  // FUNCTIONS

  /// @notice Broadcasts a validated set of datapoints to a bridge adapter
  /// @dev Permisionless, input parameters are validated to ensure being correct
  /// @param _bridgeSenderAdapter Address of the bridge adapter
  /// @param _chainId Identifier of the receiving chain
  /// @param _poolSalt Identifier of the pool of the data broadcast
  /// @param _poolNonce Nonce identifier of the dataset
  /// @param _observationsData Array of tuples representing broadcast dataset
  function sendObservations(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _chainId,
    bytes32 _poolSalt,
    uint24 _poolNonce,
    IOracleSidechain.ObservationData[] memory _observationsData
  ) external;

  /// @notice Triggers an update of the oracle state
  /// @dev Permisioned, callable only by Strategy
  /// @param _poolSalt Identifier of the pool of the data broadcast
  /// @param _secondsAgos Set of time periods to consult the pool with
  function fetchObservations(bytes32 _poolSalt, uint32[] calldata _secondsAgos) external;

  /// @notice Updates the Strategy address
  /// @dev Permisioned, callable only by Governor
  /// @param _strategy Address of the new Strategy
  function setStrategy(IDataFeedStrategy _strategy) external;
}

// File: solidity/libraries/Create2Address.sol



//SPDX-License-Identifier: BUSL-1.1
pragma solidity >=0.8.8 <0.9.0;

/// @title Provides functions for deriving a pool address from the factory, tokens, and the fee
library Create2Address {
  /// @notice Deterministically computes the pool address given the factory, salt and initCodeHash
  /// @param _factory The Uniswap V3 factory contract address
  /// @param _salt The PoolKey encoded bytes
  /// @param _initCodeHash The Init Code Hash of the target
  /// @return _pool The contract address of the target pool/oracle
  function computeAddress(
    address _factory,
    bytes32 _salt,
    bytes32 _initCodeHash
  ) internal pure returns (address _pool) {
    _pool = address(uint160(uint256(keccak256(abi.encodePacked(hex'ff', _factory, _salt, _initCodeHash)))));
  }
}

// File: solidity/contracts/peripherals/PipelineManagement.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {Governable} from './Governable.sol';
import {IPipelineManagement, IBridgeSenderAdapter} from '../../interfaces/peripherals/IPipelineManagement.sol';
import {IDataFeed} from '../../interfaces/IDataFeed.sol';
import {EnumerableSet} from '@openzeppelin/contracts/utils/structs/EnumerableSet.sol';

abstract contract PipelineManagement is IPipelineManagement, Governable {
  using EnumerableSet for EnumerableSet.Bytes32Set;

  EnumerableSet.Bytes32Set private _whitelistedPools;

  /// @inheritdoc IPipelineManagement
  mapping(uint32 => mapping(bytes32 => uint24)) public whitelistedNonces;

  /// @inheritdoc IPipelineManagement
  mapping(IBridgeSenderAdapter => bool) public whitelistedAdapters;

  // adapter => chainId => destinationDomain
  /// @inheritdoc IPipelineManagement
  mapping(IBridgeSenderAdapter => mapping(uint32 => uint32)) public destinationDomainIds;

  // adapter => destinationDomainId => dataReceiver
  /// @inheritdoc IPipelineManagement
  mapping(IBridgeSenderAdapter => mapping(uint32 => address)) public receivers;

  /// @inheritdoc IPipelineManagement
  function whitelistPipeline(uint32 _chainId, bytes32 _poolSalt) external onlyGovernor {
    _whitelistPipeline(_chainId, _poolSalt);
  }

  /// @inheritdoc IPipelineManagement
  function whitelistPipelines(uint32[] calldata _chainIds, bytes32[] calldata _poolSalts) external onlyGovernor {
    uint256 _chainIdsLength = _chainIds.length;
    if (_chainIdsLength != _poolSalts.length) revert LengthMismatch();
    unchecked {
      for (uint256 _i; _i < _chainIdsLength; ++_i) {
        _whitelistPipeline(_chainIds[_i], _poolSalts[_i]);
      }
    }
  }

  /// @inheritdoc IPipelineManagement
  function whitelistAdapter(IBridgeSenderAdapter _bridgeSenderAdapter, bool _isWhitelisted) external onlyGovernor {
    _whitelistAdapter(_bridgeSenderAdapter, _isWhitelisted);
  }

  /// @inheritdoc IPipelineManagement
  function whitelistAdapters(IBridgeSenderAdapter[] calldata _bridgeSenderAdapters, bool[] calldata _isWhitelisted) external onlyGovernor {
    uint256 _bridgeSenderAdapterLength = _bridgeSenderAdapters.length;
    if (_bridgeSenderAdapterLength != _isWhitelisted.length) revert LengthMismatch();
    unchecked {
      for (uint256 _i; _i < _bridgeSenderAdapterLength; ++_i) {
        _whitelistAdapter(_bridgeSenderAdapters[_i], _isWhitelisted[_i]);
      }
    }
  }

  /// @inheritdoc IPipelineManagement
  function setDestinationDomainId(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _chainId,
    uint32 _destinationDomainId
  ) external onlyGovernor {
    _setDestinationDomainId(_bridgeSenderAdapter, _chainId, _destinationDomainId);
  }

  /// @inheritdoc IPipelineManagement
  function setDestinationDomainIds(
    IBridgeSenderAdapter[] calldata _bridgeSenderAdapters,
    uint32[] calldata _chainIds,
    uint32[] calldata _destinationDomainIds
  ) external onlyGovernor {
    uint256 _bridgeSenderAdapterLength = _bridgeSenderAdapters.length;
    if (_bridgeSenderAdapterLength != _chainIds.length || _bridgeSenderAdapterLength != _destinationDomainIds.length) revert LengthMismatch();
    unchecked {
      for (uint256 _i; _i < _bridgeSenderAdapterLength; ++_i) {
        _setDestinationDomainId(_bridgeSenderAdapters[_i], _chainIds[_i], _destinationDomainIds[_i]);
      }
    }
  }

  /// @inheritdoc IPipelineManagement
  function setReceiver(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _destinationDomainId,
    address _dataReceiver
  ) external onlyGovernor {
    _setReceiver(_bridgeSenderAdapter, _destinationDomainId, _dataReceiver);
  }

  /// @inheritdoc IPipelineManagement
  function setReceivers(
    IBridgeSenderAdapter[] calldata _bridgeSenderAdapters,
    uint32[] calldata _destinationDomainIds,
    address[] calldata _dataReceivers
  ) external onlyGovernor {
    uint256 _bridgeSenderAdapterLength = _bridgeSenderAdapters.length;
    if (_bridgeSenderAdapterLength != _destinationDomainIds.length || _bridgeSenderAdapterLength != _dataReceivers.length)
      revert LengthMismatch();
    unchecked {
      for (uint256 _i; _i < _bridgeSenderAdapterLength; ++_i) {
        _setReceiver(_bridgeSenderAdapters[_i], _destinationDomainIds[_i], _dataReceivers[_i]);
      }
    }
  }

  /// @inheritdoc IPipelineManagement
  function whitelistedPools() external view returns (bytes32[] memory) {
    return _whitelistedPools.values();
  }

  /// @inheritdoc IPipelineManagement
  function isWhitelistedPool(bytes32 _poolSalt) external view returns (bool _isWhitelisted) {
    return _whitelistedPools.contains(_poolSalt);
  }

  /// @inheritdoc IPipelineManagement
  function isWhitelistedPipeline(uint32 _chainId, bytes32 _poolSalt) external view returns (bool _isWhitelisted) {
    return whitelistedNonces[_chainId][_poolSalt] != 0;
  }

  /// @inheritdoc IPipelineManagement
  function validateSenderAdapter(IBridgeSenderAdapter _bridgeSenderAdapter, uint32 _chainId)
    public
    view
    returns (uint32 _destinationDomainId, address _dataReceiver)
  {
    if (!whitelistedAdapters[_bridgeSenderAdapter]) revert UnallowedAdapter();

    _destinationDomainId = destinationDomainIds[_bridgeSenderAdapter][_chainId];
    if (_destinationDomainId == 0) revert DestinationDomainIdNotSet();

    _dataReceiver = receivers[_bridgeSenderAdapter][_destinationDomainId];
    if (_dataReceiver == address(0)) revert ReceiverNotSet();
  }

  function _whitelistPipeline(uint32 _chainId, bytes32 _poolSalt) internal {
    (uint24 _lastPoolNonceObserved, , , ) = IDataFeed(address(this)).lastPoolStateObserved(_poolSalt);
    whitelistedNonces[_chainId][_poolSalt] = _lastPoolNonceObserved + 1;
    _whitelistedPools.add(_poolSalt);
    emit PipelineWhitelisted(_chainId, _poolSalt, _lastPoolNonceObserved + 1);
  }

  function _whitelistAdapter(IBridgeSenderAdapter _bridgeSenderAdapter, bool _isWhitelisted) internal {
    whitelistedAdapters[_bridgeSenderAdapter] = _isWhitelisted;
    emit AdapterWhitelisted(_bridgeSenderAdapter, _isWhitelisted);
  }

  function _setDestinationDomainId(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _chainId,
    uint32 _destinationDomainId
  ) internal {
    destinationDomainIds[_bridgeSenderAdapter][_chainId] = _destinationDomainId;
    emit DestinationDomainIdSet(_bridgeSenderAdapter, _chainId, _destinationDomainId);
  }

  function _setReceiver(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _destinationDomainId,
    address _dataReceiver
  ) internal {
    receivers[_bridgeSenderAdapter][_destinationDomainId] = _dataReceiver;
    emit ReceiverSet(_bridgeSenderAdapter, _destinationDomainId, _dataReceiver);
  }

  modifier validatePool(bytes32 _poolSalt) {
    if (!_whitelistedPools.contains(_poolSalt)) revert UnallowedPool();
    _;
  }

  modifier validatePipeline(
    uint32 _chainId,
    bytes32 _poolSalt,
    uint24 _poolNonce
  ) {
    uint24 _whitelistedNonce = whitelistedNonces[_chainId][_poolSalt];
    if (_whitelistedNonce == 0) revert UnallowedPipeline();
    if (_whitelistedNonce > _poolNonce) revert WrongNonce();
    _;
  }
}

// File: solidity/interfaces/IDataFeedStrategy.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IGovernable} from './peripherals/IGovernable.sol';
import {IUniswapV3Pool} from '@uniswap/v3-core/contracts/interfaces/IUniswapV3Pool.sol';
import {IDataFeed} from './IDataFeed.sol';
import {IBridgeSenderAdapter} from './bridges/IBridgeSenderAdapter.sol';
import {IOracleSidechain} from '../interfaces/IOracleSidechain.sol';

interface IDataFeedStrategy is IGovernable {
  // ENUMS

  enum TriggerReason {
    NONE,
    TIME,
    TWAP
  }

  // STRUCTS

  struct StrategySettings {
    uint32 periodDuration; // Resolution of the oracle, target twap length
    uint32 cooldown; // Time since last update to wait to time-trigger update
    uint24 twapThreshold; // Twap difference, in ticks, to twap-trigger update
    uint32 twapLength; // Twap length, in seconds, used for twap-trigger update
  }

  // STATE VARIABLES

  /// @return _dataFeed The address of the DataFeed contract
  function dataFeed() external view returns (IDataFeed _dataFeed);

  /// @return _strategyCooldown Time in seconds since last update required to time-trigger an update
  function strategyCooldown() external view returns (uint32 _strategyCooldown);

  /// @return _periodDuration The targetted amount of seconds between pool consultations
  /// @dev Defines the resolution of the oracle, averaging data between consultations
  function periodDuration() external view returns (uint32 _periodDuration);

  /// @return _twapThreshold Twap difference, in ticks, to twap-trigger an update
  function twapThreshold() external view returns (uint24 _twapThreshold);

  /// @return _twapLength The time length, in seconds, used to calculate twap-trigger
  function twapLength() external view returns (uint32 _twapLength);

  // EVENTS

  /// @notice Emitted when a data fetch is triggered
  /// @param _poolSalt Identifier of the pool to fetch
  /// @param _reason Identifier number of the reason that triggered the fetch request
  event StrategicFetch(bytes32 indexed _poolSalt, TriggerReason _reason);

  /// @notice Emitted when the owner updates the job cooldown
  /// @param _strategyCooldown The new job cooldown
  event StrategyCooldownSet(uint32 _strategyCooldown);

  /// @notice Emitted when the owner updates the job twap length
  /// @param _twapLength The new length of the twap used to trigger an update of the oracle
  event TwapLengthSet(uint32 _twapLength);

  /// @notice Emitted when the owner updates the job twap threshold percentage
  /// @param _twapThreshold The twap difference threshold used to trigger an update of the oracle
  event TwapThresholdSet(uint24 _twapThreshold);

  /// @notice Emitted when the owner updates the job period length
  /// @param _periodDuration The new length of reading resolution periods
  event PeriodDurationSet(uint32 _periodDuration);

  // ERRORS

  /// @notice Thrown if the tx is not strategic
  error NotStrategic();

  /// @notice Thrown if setting breaks strategyCooldown >= twapLength >= periodDuration
  error WrongSetting();

  // FUNCTIONS

  /// @notice Permisionless, used to update the oracle state
  /// @param _poolSalt Identifier of the pool to fetch
  /// @param _reason Identifier of trigger reason (time/twap)
  function strategicFetchObservations(bytes32 _poolSalt, TriggerReason _reason) external;

  /// @notice Permisioned, used to update the oracle state from a given timestamp
  /// @param _poolSalt Identifier of the pool to fetch
  /// @param _fromTimestamp Timestamp to start backfilling from
  function forceFetchObservations(bytes32 _poolSalt, uint32 _fromTimestamp) external;

  /// @notice Sets the job cooldown
  /// @param _strategyCooldown The job cooldown to be set
  function setStrategyCooldown(uint32 _strategyCooldown) external;

  /// @notice Sets the job twap length
  /// @param _twapLength The new length of the twap used to trigger an update of the oracle
  function setTwapLength(uint32 _twapLength) external;

  /// @notice Sets the job twap threshold percentage
  /// @param _twapThreshold The twap difference threshold used to trigger an update of the oracle
  function setTwapThreshold(uint24 _twapThreshold) external;

  /// @notice Sets the job period length
  /// @param _periodDuration The new length of reading resolution periods
  function setPeriodDuration(uint32 _periodDuration) external;

  /// @notice Returns if the strategy can be executed
  /// @param _poolSalt The pool salt defined by token0 token1 and fee
  /// @return _reason The reason why the strategy can be executed
  function isStrategic(bytes32 _poolSalt) external view returns (TriggerReason _reason);

  /// @notice Returns if the strategy can be executed
  /// @param _poolSalt The pool salt defined by token0 token1 and fee
  /// @param _reason The reason why the strategy can be executed
  /// @return _isStrategic Whether the tx is strategic or not
  function isStrategic(bytes32 _poolSalt, TriggerReason _reason) external view returns (bool _isStrategic);

  /// @notice Builds the secondsAgos array with periodDuration between each datapoint
  /// @param _fromTimestamp Timestamp from which to backfill the oracle with
  /// @return _secondsAgos Array of secondsAgo that backfills the history from fromTimestamp
  function calculateSecondsAgos(uint32 _fromTimestamp) external view returns (uint32[] memory _secondsAgos);
}

// File: solidity/interfaces/IOracleSidechain.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IOracleFactory} from './IOracleFactory.sol';

interface IOracleSidechain {
  // STRUCTS

  struct ObservationData {
    uint32 blockTimestamp;
    int24 tick;
  }

  // STATE VARIABLES

  // TODO: complete natspec

  /// @return _oracleFactory The address of the OracleFactory
  function factory() external view returns (IOracleFactory _oracleFactory);

  /// @return _token0 The mainnet address of the Token0 of the oracle
  function token0() external view returns (address _token0);

  /// @return _token1 The mainnet address of the Token1 of the oracle
  function token1() external view returns (address _token1);

  /// @return _fee The fee identifier of the pool
  function fee() external view returns (uint24 _fee);

  /// @return _poolSalt The identifier of both the pool and the oracle
  function poolSalt() external view returns (bytes32 _poolSalt);

  /// @return _poolNonce Last recorded nonce of the pool history
  function poolNonce() external view returns (uint24 _poolNonce);

  /// @notice Replicates the UniV3Pool slot0 behaviour (semi-compatible)
  /// @return _sqrtPriceX96 Used to maintain compatibility with Uniswap V3
  /// @return _tick Used to maintain compatibility with Uniswap V3
  /// @return _observationIndex The index of the last oracle observation that was written,
  /// @return _observationCardinality The current maximum number of observations stored in the pool,
  /// @return _observationCardinalityNext The next maximum number of observations, to be updated when the observation.
  /// @return _feeProtocol Used to maintain compatibility with Uniswap V3
  /// @return _unlocked Used to track if a pool information was already verified
  function slot0()
    external
    view
    returns (
      uint160 _sqrtPriceX96,
      int24 _tick,
      uint16 _observationIndex,
      uint16 _observationCardinality,
      uint16 _observationCardinalityNext,
      uint8 _feeProtocol,
      bool _unlocked
    );

  /// @notice Returns data about a specific observation index
  /// @param _index The element of the observations array to fetch
  /// @return _blockTimestamp The timestamp of the observation,
  /// @return _tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
  /// @return _secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
  /// @return _initialized whether the observation has been initialized and the values are safe to use
  function observations(uint256 _index)
    external
    view
    returns (
      uint32 _blockTimestamp,
      int56 _tickCumulative,
      uint160 _secondsPerLiquidityCumulativeX128,
      bool _initialized
    );

  // EVENTS

  /// @notice Emitted when the pool information is verified
  /// @param _poolSalt Identifier of the pool and the oracle
  /// @param _token0 The contract address of either token0 or token1
  /// @param _token1 The contract address of the other token
  /// @param _fee The fee denominated in hundredths of a bip
  event PoolInfoInitialized(bytes32 indexed _poolSalt, address _token0, address _token1, uint24 _fee);

  /// @notice Emitted by the oracle to hint indexers that the pool state has changed
  /// @dev Imported from IUniswapV3PoolEvents (semi-compatible)
  /// @param _sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
  /// @param _tick The log base 1.0001 of price of the pool after the swap
  event Swap(address indexed, address indexed, int256, int256, uint160 _sqrtPriceX96, uint128, int24 _tick);

  /// @notice Emitted by the oracle for increases to the number of observations that can be stored
  /// @dev Imported from IUniswapV3PoolEvents (fully-compatible)
  /// @param _observationCardinalityNextOld The previous value of the next observation cardinality
  /// @param _observationCardinalityNextNew The updated value of the next observation cardinality
  event IncreaseObservationCardinalityNext(uint16 _observationCardinalityNextOld, uint16 _observationCardinalityNextNew);

  // ERRORS

  error AI();
  error InvalidPool();
  error OnlyDataReceiver();
  error OnlyFactory();

  // FUNCTIONS

  /// @notice Permisionless method to verify token0, token1 and fee
  /// @dev Before verified, token0 and token1 views will return address(0)
  /// @param _tokenA The contract address of either token0 or token1
  /// @param _tokenB The contract address of the other token
  /// @param _fee The fee denominated in hundredths of a bip
  function initializePoolInfo(
    address _tokenA,
    address _tokenB,
    uint24 _fee
  ) external;

  /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
  /// @dev Imported from UniV3Pool (semi compatible, optimistically extrapolates)
  /// @param _secondsAgos From how long ago each cumulative tick and liquidity value should be returned
  /// @return _tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
  /// @return _secondsCumulativeX128s Cumulative seconds as of each `secondsAgos` from the current block timestamp
  function observe(uint32[] calldata _secondsAgos)
    external
    view
    returns (int56[] memory _tickCumulatives, uint160[] memory _secondsCumulativeX128s);

  /// @notice Permisioned method to push a dataset to update
  /// @param _observationsData Array of tuples containing the dataset
  /// @param _poolNonce Nonce of the observation broadcast
  function write(ObservationData[] memory _observationsData, uint24 _poolNonce) external returns (bool _written);

  /// @notice Permisioned method to increase the cardinalityNext value
  /// @param _observationCardinalityNext The new next length of the observations array
  function increaseObservationCardinalityNext(uint16 _observationCardinalityNext) external;
}

// File: solidity/interfaces/peripherals/IPipelineManagement.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IGovernable} from './IGovernable.sol';
import {IBridgeSenderAdapter} from '../bridges/IBridgeSenderAdapter.sol';

interface IPipelineManagement is IGovernable {
  // STATE VARIABLES

  function whitelistedNonces(uint32 _chainId, bytes32 _poolSalt) external view returns (uint24 _whitelistedNonce);

  function whitelistedAdapters(IBridgeSenderAdapter _bridgeSenderAdapter) external view returns (bool _isWhitelisted);

  function destinationDomainIds(IBridgeSenderAdapter _bridgeSenderAdapter, uint32 _chainId) external view returns (uint32 _destinationDomainId);

  function receivers(IBridgeSenderAdapter _bridgeSenderAdapter, uint32 _destinationDomainId) external view returns (address _dataReceiver);

  // EVENTS

  event PipelineWhitelisted(uint32 _chainId, bytes32 indexed _poolSalt, uint24 _whitelistedNonce);

  event AdapterWhitelisted(IBridgeSenderAdapter _bridgeSenderAdapter, bool _isWhitelisted);

  event DestinationDomainIdSet(IBridgeSenderAdapter _bridgeSenderAdapter, uint32 _chainId, uint32 _destinationDomainId);

  event ReceiverSet(IBridgeSenderAdapter _bridgeSenderAdapter, uint32 _destinationDomainId, address _dataReceiver);

  // ERRORS

  error UnallowedPool();

  error UnallowedPipeline();

  error WrongNonce();

  error UnallowedAdapter();

  error DestinationDomainIdNotSet();

  error ReceiverNotSet();

  error LengthMismatch();

  // FUNCTIONS

  function whitelistPipeline(uint32 _chainId, bytes32 _poolSalt) external;

  function whitelistPipelines(uint32[] calldata _chainIds, bytes32[] calldata _poolSalts) external;

  function whitelistAdapter(IBridgeSenderAdapter _bridgeSenderAdapter, bool _isWhitelisted) external;

  function whitelistAdapters(IBridgeSenderAdapter[] calldata _bridgeSenderAdapters, bool[] calldata _isWhitelisted) external;

  function setDestinationDomainId(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _chainId,
    uint32 _destinationDomainId
  ) external;

  function setDestinationDomainIds(
    IBridgeSenderAdapter[] calldata _bridgeSenderAdapter,
    uint32[] calldata _chainId,
    uint32[] calldata _destinationDomainId
  ) external;

  function setReceiver(
    IBridgeSenderAdapter _bridgeSenderAdapter,
    uint32 _destinationDomainId,
    address _dataReceiver
  ) external;

  function setReceivers(
    IBridgeSenderAdapter[] calldata _bridgeSenderAdapters,
    uint32[] calldata _destinationDomainIds,
    address[] calldata _dataReceivers
  ) external;

  function whitelistedPools() external view returns (bytes32[] memory);

  function isWhitelistedPool(bytes32 _poolSalt) external view returns (bool _isWhitelisted);

  function isWhitelistedPipeline(uint32 _chainId, bytes32 _poolSalt) external view returns (bool _isWhitelisted);

  function validateSenderAdapter(IBridgeSenderAdapter _bridgeSenderAdapter, uint32 _chainId)
    external
    view
    returns (uint32 _destinationDomainId, address _dataReceiver);
}

// File: solidity/interfaces/bridges/IBridgeSenderAdapter.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IOracleSidechain} from '../IOracleSidechain.sol';

interface IBridgeSenderAdapter {
  // FUNCTIONS

  function bridgeObservations(
    address _to,
    uint32 _destinationDomainId,
    IOracleSidechain.ObservationData[] memory _observationsData,
    bytes32 _poolSalt,
    uint24 _poolNonce
  ) external payable;

  // ERRORS

  error OnlyDataFeed();
}

// File: solidity/interfaces/bridges/IConnextSenderAdapter.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IConnext} from '@connext/nxtp-contracts/contracts/core/connext/interfaces/IConnext.sol';
import {IBridgeSenderAdapter, IOracleSidechain} from './IBridgeSenderAdapter.sol';
import {IDataFeed} from '../IDataFeed.sol';

interface IConnextSenderAdapter is IBridgeSenderAdapter {
  // STATE VARIABLES

  function connext() external view returns (IConnext _connext);

  function dataFeed() external view returns (IDataFeed _dataFeed);
}

// File: @uniswap/v3-core/contracts/interfaces/IUniswapV3Pool.sol



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

import {IUniswapV3PoolImmutables} from './pool/IUniswapV3PoolImmutables.sol';
import {IUniswapV3PoolState} from './pool/IUniswapV3PoolState.sol';
import {IUniswapV3PoolDerivedState} from './pool/IUniswapV3PoolDerivedState.sol';
import {IUniswapV3PoolActions} from './pool/IUniswapV3PoolActions.sol';
import {IUniswapV3PoolOwnerActions} from './pool/IUniswapV3PoolOwnerActions.sol';
import {IUniswapV3PoolErrors} from './pool/IUniswapV3PoolErrors.sol';
import {IUniswapV3PoolEvents} from './pool/IUniswapV3PoolEvents.sol';

/// @title The interface for a Uniswap V3 Pool
/// @notice A Uniswap pool facilitates swapping and automated market making between any two assets that strictly conform
/// to the ERC20 specification
/// @dev The pool interface is broken up into many smaller pieces
interface IUniswapV3Pool is
    IUniswapV3PoolImmutables,
    IUniswapV3PoolState,
    IUniswapV3PoolDerivedState,
    IUniswapV3PoolActions,
    IUniswapV3PoolOwnerActions,
    IUniswapV3PoolErrors,
    IUniswapV3PoolEvents
{

}

// File: solidity/interfaces/peripherals/IGovernable.sol



//SPDX-License-Identifier: MIT
pragma solidity >=0.8.8 <0.9.0;

interface IGovernable {
  // STATE VARIABLES

  /// @return _governor Address of the current governor
  function governor() external view returns (address _governor);

  /// @return _pendingGovernor Address of the current pending governor
  function pendingGovernor() external view returns (address _pendingGovernor);

  // EVENTS

  /// @notice Emitted when a new pending governor is set
  /// @param _governor Address of the current governor
  /// @param _pendingGovernor Address of the proposed next governor
  event PendingGovernorSet(address _governor, address _pendingGovernor);

  /// @notice Emitted when a new governor is set
  /// @param _newGovernor Address of the new governor
  event PendingGovernorAccepted(address _newGovernor);

  // ERRORS

  /// @notice Throws if a variable is assigned to the zero address
  error ZeroAddress();

  /// @notice Throws if a non-governor user tries to call a OnlyGovernor function
  error OnlyGovernor();

  /// @notice Throws if a non-pending-governor user tries to call a OnlyPendingGovernor function
  error OnlyPendingGovernor();

  // FUNCTIONS

  /// @notice Allows a governor to propose a new governor
  /// @param _pendingGovernor Address of the proposed new governor
  function setPendingGovernor(address _pendingGovernor) external;

  /// @notice Allows a proposed governor to accept the governance
  function acceptPendingGovernor() external;
}

// File: solidity/interfaces/IOracleFactory.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IGovernable} from './peripherals/IGovernable.sol';
import {IOracleSidechain} from './IOracleSidechain.sol';
import {IDataReceiver} from './IDataReceiver.sol';

interface IOracleFactory is IGovernable {
  // STRUCTS

  struct OracleParameters {
    bytes32 poolSalt; // Identifier of the pool and oracle
    uint24 poolNonce; // Initial nonce of the deployed pool
    uint16 cardinality; // Initial cardinality of the deployed pool
  }

  // STATE VARIABLES

  /// @return _oracleInitCodeHash The oracle creation code hash used to calculate their address
  //solhint-disable-next-line func-name-mixedcase
  function ORACLE_INIT_CODE_HASH() external view returns (bytes32 _oracleInitCodeHash);

  /// @return _dataReceiver The address of the DataReceiver for the oracles to consult
  function dataReceiver() external view returns (IDataReceiver _dataReceiver);

  /// @return _poolSalt The id of both the oracle and the pool
  /// @return _poolNonce The initial nonce of the pool data
  /// @return _cardinality The size of the observations memory storage
  function oracleParameters()
    external
    view
    returns (
      bytes32 _poolSalt,
      uint24 _poolNonce,
      uint16 _cardinality
    );

  /// @return _initialCardinality The initial size of the observations memory storage for newly deployed pools
  function initialCardinality() external view returns (uint16 _initialCardinality);

  // EVENTS

  /// @notice Emitted when a new oracle is deployed
  /// @param _poolSalt The id of both the oracle and the pool
  /// @param _oracle The address of the deployed oracle
  /// @param _initialNonce The initial nonce of the pool data
  event OracleDeployed(bytes32 indexed _poolSalt, address indexed _oracle, uint24 _initialNonce);

  /// @notice Emitted when a new DataReceiver is set
  /// @param _dataReceiver The address of the new DataReceiver
  event DataReceiverSet(IDataReceiver _dataReceiver);

  /// @notice Emitted when a new initial oracle cardinality is set
  /// @param _initialCardinality The initial length of the observationCardinality array
  event InitialCardinalitySet(uint16 _initialCardinality);

  // ERRORS

  /// @notice Thrown when a contract other than the DataReceiver tries to deploy an oracle
  error OnlyDataReceiver();

  // FUNCTIONS

  /// @notice Deploys a new oracle given an inputted salt
  /// @dev Requires that the salt has not been deployed before
  /// @param _poolSalt Pool salt that deterministically binds an oracle with a pool
  /// @return _oracle The address of the newly deployed oracle
  function deployOracle(bytes32 _poolSalt, uint24 _poolNonce) external returns (IOracleSidechain _oracle);

  /// @notice Allows governor to set a new allowed dataReceiver
  /// @dev Will disallow the previous dataReceiver
  /// @param _dataReceiver The address of the new allowed dataReceiver
  function setDataReceiver(IDataReceiver _dataReceiver) external;

  /// @notice Allows governor to set a new initial cardinality for new oracles
  /// @param _initialCardinality The initial size of the observations memory storage for newly deployed pools
  function setInitialCardinality(uint16 _initialCardinality) external;

  /// @notice Overrides UniV3Factory getPool mapping
  /// @param _tokenA The contract address of either token0 or token1
  /// @param _tokenB The contract address of the other token
  /// @param _fee The fee denominated in hundredths of a bip
  /// @return _oracle The oracle address
  function getPool(
    address _tokenA,
    address _tokenB,
    uint24 _fee
  ) external view returns (IOracleSidechain _oracle);

  /// @notice Tracks the addresses of the oracle by poolSalt
  /// @param _poolSalt Identifier of both the pool and the oracle
  /// @return _oracle The address (if deployed) of the correspondant oracle
  function getPool(bytes32 _poolSalt) external view returns (IOracleSidechain _oracle);

  /// @param _tokenA The contract address of either token0 or token1
  /// @param _tokenB The contract address of the other token
  /// @param _fee The fee denominated in hundredths of a bip
  /// @return _poolSalt Pool salt for inquired parameters
  function getPoolSalt(
    address _tokenA,
    address _tokenB,
    uint24 _fee
  ) external view returns (bytes32 _poolSalt);
}

// File: solidity/interfaces/IDataReceiver.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IGovernable} from './peripherals/IGovernable.sol';
import {IOracleFactory} from './IOracleFactory.sol';
import {IOracleSidechain} from './IOracleSidechain.sol';
import {IBridgeReceiverAdapter} from './bridges/IBridgeReceiverAdapter.sol';

interface IDataReceiver is IGovernable {
  // STATE VARIABLES

  /// @return _oracleFactory The address of the OracleFactory
  function oracleFactory() external view returns (IOracleFactory _oracleFactory);

  /// @notice Tracks already deployed oracles
  /// @param _poolSalt The identifier of the oracle
  /// @return _deployedOracle The address of the correspondant Oracle
  function deployedOracles(bytes32 _poolSalt) external view returns (IOracleSidechain _deployedOracle);

  /// @notice Tracks the whitelisting of bridge adapters
  /// @param _adapter Address of the bridge adapter to consult
  /// @return _isAllowed Whether a bridge adapter is whitelisted
  function whitelistedAdapters(IBridgeReceiverAdapter _adapter) external view returns (bool _isAllowed);

  /// @return _oracleInitCodeHash The oracle creation code hash used to calculate their address
  //solhint-disable-next-line func-name-mixedcase
  function ORACLE_INIT_CODE_HASH() external view returns (bytes32 _oracleInitCodeHash);

  // EVENTS

  /// @notice Emitted when a broadcast observation is succesfully processed
  /// @param _poolSalt Identifier of the pool to fetch
  /// @return _poolNonce Nonce of the observation broadcast
  /// @return _observationsData Array of tuples containing the dataset
  /// @return _receiverAdapter Handler of the broadcast
  event ObservationsAdded(
    bytes32 indexed _poolSalt,
    uint24 _poolNonce,
    IOracleSidechain.ObservationData[] _observationsData,
    address _receiverAdapter
  );

  /// @notice Emitted when a new adapter whitelisting rule is set
  /// @param _adapter Address of the adapter
  /// @param _isAllowed New whitelisting status
  event AdapterWhitelisted(IBridgeReceiverAdapter _adapter, bool _isAllowed);

  // ERRORS

  /// @notice Thrown when the broadcast nonce is incorrect
  error ObservationsNotWritable();

  /// @notice Thrown when a not-whitelisted adapter triggers an update
  error UnallowedAdapter();

  /// @notice Thrown when mismatching lists length
  error LengthMismatch();

  // FUNCTIONS

  /// @notice Allows whitelisted bridge adapters to push a broadcast
  /// @param _observationsData Array of tuples containing the dataset
  /// @param _poolSalt Identifier of the pool to fetch
  /// @param _poolNonce Nonce of the observation broadcast
  function addObservations(
    IOracleSidechain.ObservationData[] memory _observationsData,
    bytes32 _poolSalt,
    uint24 _poolNonce
  ) external;

  /// @notice Allows governance to set an adapter whitelisted state
  /// @param _receiverAdapter Address of the adapter
  /// @param _isWhitelisted New whitelisting status
  function whitelistAdapter(IBridgeReceiverAdapter _receiverAdapter, bool _isWhitelisted) external;

  /// @notice Allows governance to batch set adapters whitelisted state
  /// @param _receiverAdapters Array of addresses of the adapter
  /// @param _isWhitelisted Array of whitelisting status for each address
  function whitelistAdapters(IBridgeReceiverAdapter[] calldata _receiverAdapters, bool[] calldata _isWhitelisted) external;
}

// File: solidity/interfaces/bridges/IBridgeReceiverAdapter.sol



//SPDX-License-Identifier: Unlicense
pragma solidity >=0.8.8 <0.9.0;

import {IDataReceiver} from '../IDataReceiver.sol';
import {IOracleSidechain} from '../IOracleSidechain.sol';

interface IBridgeReceiverAdapter {
  // FUNCTIONS

  function dataReceiver() external view returns (IDataReceiver _dataReceiver);

  /* NOTE: callback methods should be here declared */

  // ERRORS

  error UnauthorizedCaller();
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolImmutables.sol



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

/// @title Pool state that never changes
/// @notice These parameters are fixed for a pool forever, i.e., the methods will always return the same values
interface IUniswapV3PoolImmutables {
    /// @notice The contract that deployed the pool, which must adhere to the IUniswapV3Factory interface
    /// @return The contract address
    function factory() external view returns (address);

    /// @notice The first of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token0() external view returns (address);

    /// @notice The second of the two tokens of the pool, sorted by address
    /// @return The token contract address
    function token1() external view returns (address);

    /// @notice The pool's fee in hundredths of a bip, i.e. 1e-6
    /// @return The fee
    function fee() external view returns (uint24);

    /// @notice The pool tick spacing
    /// @dev Ticks can only be used at multiples of this value, minimum of 1 and always positive
    /// e.g.: a tickSpacing of 3 means ticks can be initialized every 3rd tick, i.e., ..., -6, -3, 0, 3, 6, ...
    /// This value is an int24 to avoid casting even though it is always positive.
    /// @return The tick spacing
    function tickSpacing() external view returns (int24);

    /// @notice The maximum amount of position liquidity that can use any tick in the range
    /// @dev This parameter is enforced per tick to prevent liquidity from overflowing a uint128 at any point, and
    /// also prevents out-of-range liquidity from being used to prevent adding in-range liquidity to a pool
    /// @return The max amount of liquidity per tick
    function maxLiquidityPerTick() external view returns (uint128);
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolDerivedState.sol



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

/// @title Pool state that is not stored
/// @notice Contains view functions to provide information about the pool that is computed rather than stored on the
/// blockchain. The functions here may have variable gas costs.
interface IUniswapV3PoolDerivedState {
    /// @notice Returns the cumulative tick and liquidity as of each timestamp `secondsAgo` from the current block timestamp
    /// @dev To get a time weighted average tick or liquidity-in-range, you must call this with two values, one representing
    /// the beginning of the period and another for the end of the period. E.g., to get the last hour time-weighted average tick,
    /// you must call it with secondsAgos = [3600, 0].
    /// @dev The time weighted average tick represents the geometric time weighted average price of the pool, in
    /// log base sqrt(1.0001) of token1 / token0. The TickMath library can be used to go from a tick value to a ratio.
    /// @param secondsAgos From how long ago each cumulative tick and liquidity value should be returned
    /// @return tickCumulatives Cumulative tick values as of each `secondsAgos` from the current block timestamp
    /// @return secondsPerLiquidityCumulativeX128s Cumulative seconds per liquidity-in-range value as of each `secondsAgos` from the current block
    /// timestamp
    function observe(uint32[] calldata secondsAgos)
        external
        view
        returns (int56[] memory tickCumulatives, uint160[] memory secondsPerLiquidityCumulativeX128s);

    /// @notice Returns a snapshot of the tick cumulative, seconds per liquidity and seconds inside a tick range
    /// @dev Snapshots must only be compared to other snapshots, taken over a period for which a position existed.
    /// I.e., snapshots cannot be compared if a position is not held for the entire period between when the first
    /// snapshot is taken and the second snapshot is taken.
    /// @param tickLower The lower tick of the range
    /// @param tickUpper The upper tick of the range
    /// @return tickCumulativeInside The snapshot of the tick accumulator for the range
    /// @return secondsPerLiquidityInsideX128 The snapshot of seconds per liquidity for the range
    /// @return secondsInside The snapshot of seconds per liquidity for the range
    function snapshotCumulativesInside(int24 tickLower, int24 tickUpper)
        external
        view
        returns (
            int56 tickCumulativeInside,
            uint160 secondsPerLiquidityInsideX128,
            uint32 secondsInside
        );
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolState.sol



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

/// @title Pool state that can change
/// @notice These methods compose the pool's state, and can change with any frequency including multiple times
/// per transaction
interface IUniswapV3PoolState {
    /// @notice The 0th storage slot in the pool stores many values, and is exposed as a single method to save gas
    /// when accessed externally.
    /// @return sqrtPriceX96 The current price of the pool as a sqrt(token1/token0) Q64.96 value
    /// @return tick The current tick of the pool, i.e. according to the last tick transition that was run.
    /// This value may not always be equal to SqrtTickMath.getTickAtSqrtRatio(sqrtPriceX96) if the price is on a tick
    /// boundary.
    /// @return observationIndex The index of the last oracle observation that was written,
    /// @return observationCardinality The current maximum number of observations stored in the pool,
    /// @return observationCardinalityNext The next maximum number of observations, to be updated when the observation.
    /// @return feeProtocol The protocol fee for both tokens of the pool.
    /// Encoded as two 4 bit values, where the protocol fee of token1 is shifted 4 bits and the protocol fee of token0
    /// is the lower 4 bits. Used as the denominator of a fraction of the swap fee, e.g. 4 means 1/4th of the swap fee.
    /// unlocked Whether the pool is currently locked to reentrancy
    function slot0()
        external
        view
        returns (
            uint160 sqrtPriceX96,
            int24 tick,
            uint16 observationIndex,
            uint16 observationCardinality,
            uint16 observationCardinalityNext,
            uint8 feeProtocol,
            bool unlocked
        );

    /// @notice The fee growth as a Q128.128 fees of token0 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal0X128() external view returns (uint256);

    /// @notice The fee growth as a Q128.128 fees of token1 collected per unit of liquidity for the entire life of the pool
    /// @dev This value can overflow the uint256
    function feeGrowthGlobal1X128() external view returns (uint256);

    /// @notice The amounts of token0 and token1 that are owed to the protocol
    /// @dev Protocol fees will never exceed uint128 max in either token
    function protocolFees() external view returns (uint128 token0, uint128 token1);

    /// @notice The currently in range liquidity available to the pool
    /// @dev This value has no relationship to the total liquidity across all ticks
    /// @return The liquidity at the current price of the pool
    function liquidity() external view returns (uint128);

    /// @notice Look up information about a specific tick in the pool
    /// @param tick The tick to look up
    /// @return liquidityGross the total amount of position liquidity that uses the pool either as tick lower or
    /// tick upper
    /// @return liquidityNet how much liquidity changes when the pool price crosses the tick,
    /// @return feeGrowthOutside0X128 the fee growth on the other side of the tick from the current tick in token0,
    /// @return feeGrowthOutside1X128 the fee growth on the other side of the tick from the current tick in token1,
    /// @return tickCumulativeOutside the cumulative tick value on the other side of the tick from the current tick
    /// @return secondsPerLiquidityOutsideX128 the seconds spent per liquidity on the other side of the tick from the current tick,
    /// @return secondsOutside the seconds spent on the other side of the tick from the current tick,
    /// @return initialized Set to true if the tick is initialized, i.e. liquidityGross is greater than 0, otherwise equal to false.
    /// Outside values can only be used if the tick is initialized, i.e. if liquidityGross is greater than 0.
    /// In addition, these values are only relative and must be used only in comparison to previous snapshots for
    /// a specific position.
    function ticks(int24 tick)
        external
        view
        returns (
            uint128 liquidityGross,
            int128 liquidityNet,
            uint256 feeGrowthOutside0X128,
            uint256 feeGrowthOutside1X128,
            int56 tickCumulativeOutside,
            uint160 secondsPerLiquidityOutsideX128,
            uint32 secondsOutside,
            bool initialized
        );

    /// @notice Returns 256 packed tick initialized boolean values. See TickBitmap for more information
    function tickBitmap(int16 wordPosition) external view returns (uint256);

    /// @notice Returns the information about a position by the position's key
    /// @param key The position's key is a hash of a preimage composed by the owner, tickLower and tickUpper
    /// @return liquidity The amount of liquidity in the position,
    /// @return feeGrowthInside0LastX128 fee growth of token0 inside the tick range as of the last mint/burn/poke,
    /// @return feeGrowthInside1LastX128 fee growth of token1 inside the tick range as of the last mint/burn/poke,
    /// @return tokensOwed0 the computed amount of token0 owed to the position as of the last mint/burn/poke,
    /// @return tokensOwed1 the computed amount of token1 owed to the position as of the last mint/burn/poke
    function positions(bytes32 key)
        external
        view
        returns (
            uint128 liquidity,
            uint256 feeGrowthInside0LastX128,
            uint256 feeGrowthInside1LastX128,
            uint128 tokensOwed0,
            uint128 tokensOwed1
        );

    /// @notice Returns data about a specific observation index
    /// @param index The element of the observations array to fetch
    /// @dev You most likely want to use #observe() instead of this method to get an observation as of some amount of time
    /// ago, rather than at a specific index in the array.
    /// @return blockTimestamp The timestamp of the observation,
    /// @return tickCumulative the tick multiplied by seconds elapsed for the life of the pool as of the observation timestamp,
    /// @return secondsPerLiquidityCumulativeX128 the seconds per in range liquidity for the life of the pool as of the observation timestamp,
    /// @return initialized whether the observation has been initialized and the values are safe to use
    function observations(uint256 index)
        external
        view
        returns (
            uint32 blockTimestamp,
            int56 tickCumulative,
            uint160 secondsPerLiquidityCumulativeX128,
            bool initialized
        );
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolActions.sol



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

/// @title Permissionless pool actions
/// @notice Contains pool methods that can be called by anyone
interface IUniswapV3PoolActions {
    /// @notice Sets the initial price for the pool
    /// @dev Price is represented as a sqrt(amountToken1/amountToken0) Q64.96 value
    /// @param sqrtPriceX96 the initial sqrt price of the pool as a Q64.96
    function initialize(uint160 sqrtPriceX96) external;

    /// @notice Adds liquidity for the given recipient/tickLower/tickUpper position
    /// @dev The caller of this method receives a callback in the form of IUniswapV3MintCallback#uniswapV3MintCallback
    /// in which they must pay any token0 or token1 owed for the liquidity. The amount of token0/token1 due depends
    /// on tickLower, tickUpper, the amount of liquidity, and the current price.
    /// @param recipient The address for which the liquidity will be created
    /// @param tickLower The lower tick of the position in which to add liquidity
    /// @param tickUpper The upper tick of the position in which to add liquidity
    /// @param amount The amount of liquidity to mint
    /// @param data Any data that should be passed through to the callback
    /// @return amount0 The amount of token0 that was paid to mint the given amount of liquidity. Matches the value in the callback
    /// @return amount1 The amount of token1 that was paid to mint the given amount of liquidity. Matches the value in the callback
    function mint(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount,
        bytes calldata data
    ) external returns (uint256 amount0, uint256 amount1);

    /// @notice Collects tokens owed to a position
    /// @dev Does not recompute fees earned, which must be done either via mint or burn of any amount of liquidity.
    /// Collect must be called by the position owner. To withdraw only token0 or only token1, amount0Requested or
    /// amount1Requested may be set to zero. To withdraw all tokens owed, caller may pass any value greater than the
    /// actual tokens owed, e.g. type(uint128).max. Tokens owed may be from accumulated swap fees or burned liquidity.
    /// @param recipient The address which should receive the fees collected
    /// @param tickLower The lower tick of the position for which to collect fees
    /// @param tickUpper The upper tick of the position for which to collect fees
    /// @param amount0Requested How much token0 should be withdrawn from the fees owed
    /// @param amount1Requested How much token1 should be withdrawn from the fees owed
    /// @return amount0 The amount of fees collected in token0
    /// @return amount1 The amount of fees collected in token1
    function collect(
        address recipient,
        int24 tickLower,
        int24 tickUpper,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);

    /// @notice Burn liquidity from the sender and account tokens owed for the liquidity to the position
    /// @dev Can be used to trigger a recalculation of fees owed to a position by calling with an amount of 0
    /// @dev Fees must be collected separately via a call to #collect
    /// @param tickLower The lower tick of the position for which to burn liquidity
    /// @param tickUpper The upper tick of the position for which to burn liquidity
    /// @param amount How much liquidity to burn
    /// @return amount0 The amount of token0 sent to the recipient
    /// @return amount1 The amount of token1 sent to the recipient
    function burn(
        int24 tickLower,
        int24 tickUpper,
        uint128 amount
    ) external returns (uint256 amount0, uint256 amount1);

    /// @notice Swap token0 for token1, or token1 for token0
    /// @dev The caller of this method receives a callback in the form of IUniswapV3SwapCallback#uniswapV3SwapCallback
    /// @param recipient The address to receive the output of the swap
    /// @param zeroForOne The direction of the swap, true for token0 to token1, false for token1 to token0
    /// @param amountSpecified The amount of the swap, which implicitly configures the swap as exact input (positive), or exact output (negative)
    /// @param sqrtPriceLimitX96 The Q64.96 sqrt price limit. If zero for one, the price cannot be less than this
    /// value after the swap. If one for zero, the price cannot be greater than this value after the swap
    /// @param data Any data to be passed through to the callback
    /// @return amount0 The delta of the balance of token0 of the pool, exact when negative, minimum when positive
    /// @return amount1 The delta of the balance of token1 of the pool, exact when negative, minimum when positive
    function swap(
        address recipient,
        bool zeroForOne,
        int256 amountSpecified,
        uint160 sqrtPriceLimitX96,
        bytes calldata data
    ) external returns (int256 amount0, int256 amount1);

    /// @notice Receive token0 and/or token1 and pay it back, plus a fee, in the callback
    /// @dev The caller of this method receives a callback in the form of IUniswapV3FlashCallback#uniswapV3FlashCallback
    /// @dev Can be used to donate underlying tokens pro-rata to currently in-range liquidity providers by calling
    /// with 0 amount{0,1} and sending the donation amount(s) from the callback
    /// @param recipient The address which will receive the token0 and token1 amounts
    /// @param amount0 The amount of token0 to send
    /// @param amount1 The amount of token1 to send
    /// @param data Any data to be passed through to the callback
    function flash(
        address recipient,
        uint256 amount0,
        uint256 amount1,
        bytes calldata data
    ) external;

    /// @notice Increase the maximum number of price and liquidity observations that this pool will store
    /// @dev This method is no-op if the pool already has an observationCardinalityNext greater than or equal to
    /// the input observationCardinalityNext.
    /// @param observationCardinalityNext The desired minimum number of observations for the pool to store
    function increaseObservationCardinalityNext(uint16 observationCardinalityNext) external;
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolOwnerActions.sol



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

/// @title Permissioned pool actions
/// @notice Contains pool methods that may only be called by the factory owner
interface IUniswapV3PoolOwnerActions {
    /// @notice Set the denominator of the protocol's % share of the fees
    /// @param feeProtocol0 new protocol fee for token0 of the pool
    /// @param feeProtocol1 new protocol fee for token1 of the pool
    function setFeeProtocol(uint8 feeProtocol0, uint8 feeProtocol1) external;

    /// @notice Collect the protocol fee accrued to the pool
    /// @param recipient The address to which collected protocol fees should be sent
    /// @param amount0Requested The maximum amount of token0 to send, can be 0 to collect fees in only token1
    /// @param amount1Requested The maximum amount of token1 to send, can be 0 to collect fees in only token0
    /// @return amount0 The protocol fee collected in token0
    /// @return amount1 The protocol fee collected in token1
    function collectProtocol(
        address recipient,
        uint128 amount0Requested,
        uint128 amount1Requested
    ) external returns (uint128 amount0, uint128 amount1);
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolErrors.sol



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

/// @title Errors emitted by a pool
/// @notice Contains all events emitted by the pool
interface IUniswapV3PoolErrors {
    error LOK();
    error TLU();
    error TLM();
    error TUM();
    error AI();
    error M0();
    error M1();
    error AS();
    error IIA();
    error L();
    error F0();
    error F1();
}

// File: @uniswap/v3-core/contracts/interfaces/pool/IUniswapV3PoolEvents.sol



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

/// @title Events emitted by a pool
/// @notice Contains all events emitted by the pool
interface IUniswapV3PoolEvents {
    /// @notice Emitted exactly once by a pool when #initialize is first called on the pool
    /// @dev Mint/Burn/Swap cannot be emitted by the pool before Initialize
    /// @param sqrtPriceX96 The initial sqrt price of the pool, as a Q64.96
    /// @param tick The initial tick of the pool, i.e. log base 1.0001 of the starting price of the pool
    event Initialize(uint160 sqrtPriceX96, int24 tick);

    /// @notice Emitted when liquidity is minted for a given position
    /// @param sender The address that minted the liquidity
    /// @param owner The owner of the position and recipient of any minted liquidity
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity minted to the position range
    /// @param amount0 How much token0 was required for the minted liquidity
    /// @param amount1 How much token1 was required for the minted liquidity
    event Mint(
        address sender,
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );

    /// @notice Emitted when fees are collected by the owner of a position
    /// @dev Collect events may be emitted with zero amount0 and amount1 when the caller chooses not to collect fees
    /// @param owner The owner of the position for which fees are collected
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount0 The amount of token0 fees collected
    /// @param amount1 The amount of token1 fees collected
    event Collect(
        address indexed owner,
        address recipient,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount0,
        uint128 amount1
    );

    /// @notice Emitted when a position's liquidity is removed
    /// @dev Does not withdraw any fees earned by the liquidity position, which must be withdrawn via #collect
    /// @param owner The owner of the position for which liquidity is removed
    /// @param tickLower The lower tick of the position
    /// @param tickUpper The upper tick of the position
    /// @param amount The amount of liquidity to remove
    /// @param amount0 The amount of token0 withdrawn
    /// @param amount1 The amount of token1 withdrawn
    event Burn(
        address indexed owner,
        int24 indexed tickLower,
        int24 indexed tickUpper,
        uint128 amount,
        uint256 amount0,
        uint256 amount1
    );

    /// @notice Emitted by the pool for any swaps between token0 and token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the output of the swap
    /// @param amount0 The delta of the token0 balance of the pool
    /// @param amount1 The delta of the token1 balance of the pool
    /// @param sqrtPriceX96 The sqrt(price) of the pool after the swap, as a Q64.96
    /// @param liquidity The liquidity of the pool after the swap
    /// @param tick The log base 1.0001 of price of the pool after the swap
    event Swap(
        address indexed sender,
        address indexed recipient,
        int256 amount0,
        int256 amount1,
        uint160 sqrtPriceX96,
        uint128 liquidity,
        int24 tick
    );

    /// @notice Emitted by the pool for any flashes of token0/token1
    /// @param sender The address that initiated the swap call, and that received the callback
    /// @param recipient The address that received the tokens from flash
    /// @param amount0 The amount of token0 that was flashed
    /// @param amount1 The amount of token1 that was flashed
    /// @param paid0 The amount of token0 paid for the flash, which can exceed the amount0 plus the fee
    /// @param paid1 The amount of token1 paid for the flash, which can exceed the amount1 plus the fee
    event Flash(
        address indexed sender,
        address indexed recipient,
        uint256 amount0,
        uint256 amount1,
        uint256 paid0,
        uint256 paid1
    );

    /// @notice Emitted by the pool for increases to the number of observations that can be stored
    /// @dev observationCardinalityNext is not the observation cardinality until an observation is written at the index
    /// just before a mint/swap/burn.
    /// @param observationCardinalityNextOld The previous value of the next observation cardinality
    /// @param observationCardinalityNextNew The updated value of the next observation cardinality
    event IncreaseObservationCardinalityNext(
        uint16 observationCardinalityNextOld,
        uint16 observationCardinalityNextNew
    );

    /// @notice Emitted when the protocol fee is changed by the pool
    /// @param feeProtocol0Old The previous value of the token0 protocol fee
    /// @param feeProtocol1Old The previous value of the token1 protocol fee
    /// @param feeProtocol0New The updated value of the token0 protocol fee
    /// @param feeProtocol1New The updated value of the token1 protocol fee
    event SetFeeProtocol(uint8 feeProtocol0Old, uint8 feeProtocol1Old, uint8 feeProtocol0New, uint8 feeProtocol1New);

    /// @notice Emitted when the collected protocol fees are withdrawn by the factory owner
    /// @param sender The address that collects the protocol fees
    /// @param recipient The address that receives the collected protocol fees
    /// @param amount0 The amount of token0 protocol fees that is withdrawn
    /// @param amount0 The amount of token1 protocol fees that is withdrawn
    event CollectProtocol(address indexed sender, address indexed recipient, uint128 amount0, uint128 amount1);
}

// File: @connext/nxtp-contracts/contracts/core/connext/interfaces/IConnext.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

import {IERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";

import {ExecuteArgs, TransferInfo, TokenId, DestinationTransferStatus} from "../libraries/LibConnextStorage.sol";
import {LibDiamond} from "../libraries/LibDiamond.sol";
import {SwapUtils} from "../libraries/SwapUtils.sol";

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

import {IDiamondCut} from "./IDiamondCut.sol";
import {IDiamondLoupe} from "./IDiamondLoupe.sol";

interface IConnext is IDiamondLoupe, IDiamondCut {
  // TokenFacet
  function canonicalToAdopted(bytes32 _key) external view returns (address);

  function canonicalToAdopted(TokenId calldata _canonical) external view returns (address);

  function adoptedToCanonical(address _adopted) external view returns (TokenId memory);

  function canonicalToRepresentation(bytes32 _key) external view returns (address);

  function canonicalToRepresentation(TokenId calldata _canonical) external view returns (address);

  function representationToCanonical(address _adopted) external view returns (TokenId memory);

  function getLocalAndAdoptedToken(bytes32 _id, uint32 _domain) external view returns (address, address);

  function approvedAssets(bytes32 _key) external view returns (bool);

  function approvedAssets(TokenId calldata _canonical) external view returns (bool);

  function adoptedToLocalPools(bytes32 _key) external view returns (IStableSwap);

  function adoptedToLocalPools(TokenId calldata _canonical) external view returns (IStableSwap);

  function getTokenId(address _candidate) external view returns (TokenId memory);

  function setupAsset(
    TokenId calldata _canonical,
    uint8 _canonicalDecimals,
    string memory _representationName,
    string memory _representationSymbol,
    address _adoptedAssetId,
    address _stableSwapPool,
    uint256 _cap
  ) external returns (address);

  function setupAssetWithDeployedRepresentation(
    TokenId calldata _canonical,
    address _representation,
    address _adoptedAssetId,
    address _stableSwapPool,
    uint256 _cap
  ) external returns (address);

  function addStableSwapPool(TokenId calldata _canonical, address _stableSwapPool) external;

  function updateLiquidityCap(TokenId calldata _canonical, uint256 _updated) external;

  function removeAssetId(
    bytes32 _key,
    address _adoptedAssetId,
    address _representation
  ) external;

  function removeAssetId(
    TokenId calldata _canonical,
    address _adoptedAssetId,
    address _representation
  ) external;

  function updateDetails(
    TokenId calldata _canonical,
    string memory _name,
    string memory _symbol
  ) external;

  // BaseConnextFacet

  // BridgeFacet
  function routedTransfers(bytes32 _transferId) external view returns (address[] memory);

  function transferStatus(bytes32 _transferId) external view returns (DestinationTransferStatus);

  function remote(uint32 _domain) external view returns (address);

  function domain() external view returns (uint256);

  function nonce() external view returns (uint256);

  function approvedSequencers(address _sequencer) external view returns (bool);

  function xAppConnectionManager() external view returns (address);

  function addConnextion(uint32 _domain, address _connext) external;

  function addSequencer(address _sequencer) external;

  function removeSequencer(address _sequencer) external;

  function xcall(
    uint32 _destination,
    address _to,
    address _asset,
    address _delegate,
    uint256 _amount,
    uint256 _slippage,
    bytes calldata _callData
  ) external payable returns (bytes32);

  function xcallIntoLocal(
    uint32 _destination,
    address _to,
    address _asset,
    address _delegate,
    uint256 _amount,
    uint256 _slippage,
    bytes calldata _callData
  ) external payable returns (bytes32);

  function execute(ExecuteArgs calldata _args) external returns (bytes32 transferId);

  function forceUpdateSlippage(TransferInfo calldata _params, uint256 _slippage) external;

  function bumpTransfer(bytes32 _transferId) external payable;

  function setXAppConnectionManager(address _xAppConnectionManager) external;

  function enrollRemoteRouter(uint32 _domain, bytes32 _router) external;

  function enrollCustom(
    uint32 _domain,
    bytes32 _id,
    address _custom
  ) external;

  // InboxFacet

  function handle(
    uint32 _origin,
    uint32 _nonce,
    bytes32 _sender,
    bytes memory _message
  ) external;

  // ProposedOwnableFacet

  function owner() external view returns (address);

  function routerWhitelistRemoved() external view returns (bool);

  function assetWhitelistRemoved() external view returns (bool);

  function proposed() external view returns (address);

  function proposedTimestamp() external view returns (uint256);

  function routerWhitelistTimestamp() external view returns (uint256);

  function assetWhitelistTimestamp() external view returns (uint256);

  function delay() external view returns (uint256);

  function proposeRouterWhitelistRemoval() external;

  function removeRouterWhitelist() external;

  function proposeAssetWhitelistRemoval() external;

  function removeAssetWhitelist() external;

  function renounced() external view returns (bool);

  function proposeNewOwner(address newlyProposed) external;

  function renounceOwnership() external;

  function acceptProposedOwner() external;

  function pause() external;

  function unpause() external;

  // RelayerFacet
  function approvedRelayers(address _relayer) external view returns (bool);

  function relayerFeeVault() external view returns (address);

  function setRelayerFeeVault(address _relayerFeeVault) external;

  function addRelayer(address _relayer) external;

  function removeRelayer(address _relayer) external;

  // RoutersFacet
  function LIQUIDITY_FEE_NUMERATOR() external view returns (uint256);

  function LIQUIDITY_FEE_DENOMINATOR() external view returns (uint256);

  function getRouterApproval(address _router) external view returns (bool);

  function getRouterRecipient(address _router) external view returns (address);

  function getRouterOwner(address _router) external view returns (address);

  function getProposedRouterOwner(address _router) external view returns (address);

  function getProposedRouterOwnerTimestamp(address _router) external view returns (uint256);

  function maxRoutersPerTransfer() external view returns (uint256);

  function routerBalances(address _router, address _asset) external view returns (uint256);

  function getRouterApprovalForPortal(address _router) external view returns (bool);

  function setupRouter(
    address router,
    address owner,
    address recipient
  ) external;

  function removeRouter(address router) external;

  function setMaxRoutersPerTransfer(uint256 _newMaxRouters) external;

  function setLiquidityFeeNumerator(uint256 _numerator) external;

  function approveRouterForPortal(address _router) external;

  function unapproveRouterForPortal(address _router) external;

  function setRouterRecipient(address router, address recipient) external;

  function proposeRouterOwner(address router, address proposed) external;

  function acceptProposedRouterOwner(address router) external;

  function addRouterLiquidityFor(
    uint256 _amount,
    address _local,
    address _router
  ) external payable;

  function addRouterLiquidity(uint256 _amount, address _local) external payable;

  function removeRouterLiquidityFor(
    uint256 _amount,
    address _local,
    address payable _to,
    address _router
  ) external;

  function removeRouterLiquidity(
    uint256 _amount,
    address _local,
    address payable _to
  ) external;

  // PortalFacet
  function getAavePortalDebt(bytes32 _transferId) external view returns (uint256);

  function getAavePortalFeeDebt(bytes32 _transferId) external view returns (uint256);

  function aavePool() external view returns (address);

  function aavePortalFee() external view returns (uint256);

  function setAavePool(address _aavePool) external;

  function setAavePortalFee(uint256 _aavePortalFeeNumerator) external;

  function repayAavePortal(
    TransferInfo calldata _params,
    uint256 _backingAmount,
    uint256 _feeAmount,
    uint256 _maxIn
  ) external;

  function repayAavePortalFor(
    TransferInfo calldata _params,
    uint256 _backingAmount,
    uint256 _feeAmount
  ) external;

  // StableSwapFacet
  function getSwapStorage(bytes32 canonicalId) external view returns (SwapUtils.Swap memory);

  function getSwapLPToken(bytes32 canonicalId) external view returns (address);

  function getSwapA(bytes32 canonicalId) external view returns (uint256);

  function getSwapAPrecise(bytes32 canonicalId) external view returns (uint256);

  function getSwapToken(bytes32 canonicalId, uint8 index) external view returns (IERC20);

  function getSwapTokenIndex(bytes32 canonicalId, address tokenAddress) external view returns (uint8);

  function getSwapTokenBalance(bytes32 canonicalId, uint8 index) external view returns (uint256);

  function getSwapVirtualPrice(bytes32 canonicalId) external view returns (uint256);

  function calculateSwap(
    bytes32 canonicalId,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx
  ) external view returns (uint256);

  function calculateSwapTokenAmount(
    bytes32 canonicalId,
    uint256[] calldata amounts,
    bool deposit
  ) external view returns (uint256);

  function calculateRemoveSwapLiquidity(bytes32 canonicalId, uint256 amount) external view returns (uint256[] memory);

  function calculateRemoveSwapLiquidityOneToken(
    bytes32 canonicalId,
    uint256 tokenAmount,
    uint8 tokenIndex
  ) external view returns (uint256);

  function getSwapAdminBalance(bytes32 canonicalId, uint256 index) external view returns (uint256);

  function swap(
    bytes32 canonicalId,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx,
    uint256 minDy,
    uint256 deadline
  ) external returns (uint256);

  function swapExact(
    bytes32 canonicalId,
    uint256 amountIn,
    address assetIn,
    address assetOut,
    uint256 minAmountOut,
    uint256 deadline
  ) external payable returns (uint256);

  function swapExactOut(
    bytes32 canonicalId,
    uint256 amountOut,
    address assetIn,
    address assetOut,
    uint256 maxAmountIn,
    uint256 deadline
  ) external payable returns (uint256);

  function addSwapLiquidity(
    bytes32 canonicalId,
    uint256[] calldata amounts,
    uint256 minToMint,
    uint256 deadline
  ) external returns (uint256);

  function removeSwapLiquidity(
    bytes32 canonicalId,
    uint256 amount,
    uint256[] calldata minAmounts,
    uint256 deadline
  ) external returns (uint256[] memory);

  function removeSwapLiquidityOneToken(
    bytes32 canonicalId,
    uint256 tokenAmount,
    uint8 tokenIndex,
    uint256 minAmount,
    uint256 deadline
  ) external returns (uint256);

  function removeSwapLiquidityImbalance(
    bytes32 canonicalId,
    uint256[] calldata amounts,
    uint256 maxBurnAmount,
    uint256 deadline
  ) external returns (uint256);

  // SwapAdminFacet

  function initializeSwap(
    bytes32 _canonicalId,
    IERC20[] memory _pooledTokens,
    uint8[] memory decimals,
    string memory lpTokenName,
    string memory lpTokenSymbol,
    uint256 _a,
    uint256 _fee,
    uint256 _adminFee,
    address lpTokenTargetAddress
  ) external;

  function withdrawSwapAdminFees(bytes32 canonicalId) external;

  function setSwapAdminFee(bytes32 canonicalId, uint256 newAdminFee) external;

  function setSwapFee(bytes32 canonicalId, uint256 newSwapFee) external;

  function rampA(
    bytes32 canonicalId,
    uint256 futureA,
    uint256 futureTime
  ) external;

  function stopRampA(bytes32 canonicalId) external;
}

// File: @openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/utils/SafeERC20.sol)

pragma solidity ^0.8.0;

import "../IERC20.sol";
import "../extensions/draft-IERC20Permit.sol";
import "../../../utils/Address.sol";

/**
 * @title SafeERC20
 * @dev 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 SafeERC20 for IERC20;` statement to your contract,
 * which allows you to call the safe operations as `token.safeTransfer(...)`, etc.
 */
library SafeERC20 {
    using Address for address;

    function safeTransfer(
        IERC20 token,
        address to,
        uint256 value
    ) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value));
    }

    function safeTransferFrom(
        IERC20 token,
        address from,
        address to,
        uint256 value
    ) internal {
        _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
    }

    /**
     * @dev Deprecated. This function has issues similar to the ones found in
     * {IERC20-approve}, and its usage is discouraged.
     *
     * Whenever possible, use {safeIncreaseAllowance} and
     * {safeDecreaseAllowance} instead.
     */
    function safeApprove(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        // safeApprove should only be called when setting an initial allowance,
        // or when resetting it to zero. To increase and decrease it, use
        // 'safeIncreaseAllowance' and 'safeDecreaseAllowance'
        require(
            (value == 0) || (token.allowance(address(this), spender) == 0),
            "SafeERC20: approve from non-zero to non-zero allowance"
        );
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value));
    }

    function safeIncreaseAllowance(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        uint256 newAllowance = token.allowance(address(this), spender) + value;
        _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
    }

    function safeDecreaseAllowance(
        IERC20 token,
        address spender,
        uint256 value
    ) internal {
        unchecked {
            uint256 oldAllowance = token.allowance(address(this), spender);
            require(oldAllowance >= value, "SafeERC20: decreased allowance below zero");
            uint256 newAllowance = oldAllowance - value;
            _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance));
        }
    }

    function safePermit(
        IERC20Permit token,
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal {
        uint256 nonceBefore = token.nonces(owner);
        token.permit(owner, spender, value, deadline, v, r, s);
        uint256 nonceAfter = token.nonces(owner);
        require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed");
    }

    /**
     * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement
     * on the return value: the return value is optional (but if data is returned, it must not be false).
     * @param token The token targeted by the call.
     * @param data The call data (encoded using abi.encode or one of its variants).
     */
    function _callOptionalReturn(IERC20 token, bytes memory data) private {
        // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since
        // we're implementing it ourselves. We use {Address.functionCall} to perform this call, which verifies that
        // the target address contains contract code and also asserts for success in the low-level call.

        bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed");
        if (returndata.length > 0) {
            // Return data is optional
            require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed");
        }
    }
}

// File: @connext/nxtp-contracts/contracts/core/connext/libraries/LibConnextStorage.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

import {IStableSwap} from "../interfaces/IStableSwap.sol";
import {IConnectorManager} from "../../../messaging/interfaces/IConnectorManager.sol";
import {SwapUtils} from "./SwapUtils.sol";

// ============= Enum =============

/// @notice Enum representing address role
// Returns uint
// None     - 0
// Router   - 1
// Watcher  - 2
// Admin    - 3
enum Role {
  None,
  Router,
  Watcher,
  Admin
}

/**
 * @notice Enum representing status of destination transfer
 * @dev Status is only assigned on the destination domain, will always be "none" for the
 * origin domains
 * @return uint - Index of value in enum
 */
enum DestinationTransferStatus {
  None, // 0
  Reconciled, // 1
  Executed, // 2
  Completed // 3 - executed + reconciled
}

// ============= Structs =============

struct TokenId {
  uint32 domain;
  bytes32 id;
}

/**
 * @notice These are the parameters that will remain constant between the
 * two chains. They are supplied on `xcall` and should be asserted on `execute`
 * @property to - The account that receives funds, in the event of a crosschain call,
 * will receive funds if the call fails.
 *
 * @param originDomain - The originating domain (i.e. where `xcall` is called). Must match nomad domain schema
 * @param destinationDomain - The final domain (i.e. where `execute` / `reconcile` are called). Must match nomad domain schema
 * @param canonicalDomain - The canonical domain of the asset you are bridging
 * @param to - The address you are sending funds (and potentially data) to
 * @param delegate - An address who can execute txs on behalf of `to`, in addition to allowing relayers
 * @param receiveLocal - If true, will use the local nomad asset on the destination instead of adopted.
 * @param callData - The data to execute on the receiving chain. If no crosschain call is needed, then leave empty.
 * @param slippage - Slippage user is willing to accept from original amount in expressed in BPS (i.e. if
 * a user takes 1% slippage, this is expressed as 1_000)
 * @param originSender - The msg.sender of the xcall
 * @param bridgedAmt - The amount sent over the bridge (after potential AMM on xcall)
 * @param normalizedIn - The amount sent to `xcall`, normalized to 18 decimals
 * @param nonce - The nonce on the origin domain used to ensure the transferIds are unique
 * @param canonicalId - The unique identifier of the canonical token corresponding to bridge assets
 */
struct TransferInfo {
  uint32 originDomain;
  uint32 destinationDomain;
  uint32 canonicalDomain;
  address to;
  address delegate;
  bool receiveLocal;
  bytes callData;
  uint256 slippage;
  address originSender;
  uint256 bridgedAmt;
  uint256 normalizedIn;
  uint256 nonce;
  bytes32 canonicalId;
}

/**
 * @notice
 * @param params - The TransferInfo. These are consistent across sending and receiving chains.
 * @param routers - The routers who you are sending the funds on behalf of.
 * @param routerSignatures - Signatures belonging to the routers indicating permission to use funds
 * for the signed transfer ID.
 * @param sequencer - The sequencer who assigned the router path to this transfer.
 * @param sequencerSignature - Signature produced by the sequencer for path assignment accountability
 * for the path that was signed.
 */
struct ExecuteArgs {
  TransferInfo params;
  address[] routers;
  bytes[] routerSignatures;
  address sequencer;
  bytes sequencerSignature;
}

/**
 * @notice Contains RouterFacet related state
 * @param approvedRouters - Mapping of whitelisted router addresses
 * @param routerRecipients - Mapping of router withdraw recipient addresses.
 * If set, all liquidity is withdrawn only to this address. Must be set by routerOwner
 * (if configured) or the router itself
 * @param routerOwners - Mapping of router owners
 * If set, can update the routerRecipient
 * @param proposedRouterOwners - Mapping of proposed router owners
 * Must wait timeout to set the
 * @param proposedRouterTimestamp - Mapping of proposed router owners timestamps
 * When accepting a proposed owner, must wait for delay to elapse
 */
struct RouterPermissionsManagerInfo {
  mapping(address => bool) approvedRouters;
  mapping(address => bool) approvedForPortalRouters;
  mapping(address => address) routerRecipients;
  mapping(address => address) routerOwners;
  mapping(address => address) proposedRouterOwners;
  mapping(address => uint256) proposedRouterTimestamp;
}

struct AppStorage {
  //
  // 0
  bool initialized;
  //
  // Connext
  //
  // 1
  uint256 LIQUIDITY_FEE_NUMERATOR;
  /**
   * @notice The local address that is custodying relayer fees
   */
  // 2
  address relayerFeeVault;
  /**
   * @notice Nonce for the contract, used to keep unique transfer ids.
   * @dev Assigned at first interaction (xcall on origin domain).
   */
  // 3
  uint256 nonce;
  /**
   * @notice The domain this contract exists on.
   * @dev Must match the nomad domain, which is distinct from the "chainId".
   */
  // 4
  uint32 domain;
  /**
   * @notice Mapping holding the AMMs for swapping in and out of local assets.
   * @dev Swaps for an adopted asset <> nomad local asset (i.e. POS USDC <> madUSDC on polygon).
   * This mapping is keyed on the hash of the canonical id + domain for local asset.
   */
  // 6
  mapping(bytes32 => IStableSwap) adoptedToLocalPools;
  /**
   * @notice Mapping of whitelisted assets on same domain as contract.
   * @dev Mapping is keyed on the hash of the canonical id and domain
   */
  // 7
  mapping(bytes32 => bool) approvedAssets;
  /**
   * @notice Mapping of liquidity caps of whitelisted assets. If 0, no cap is enforced.
   * @dev Mapping is keyed on the hash of the canonical id and domain
   */
  // 7
  mapping(bytes32 => uint256) caps;
  /**
   * @notice Mapping of adopted to canonical asset information.
   * @dev If the adopted asset is the native asset, the keyed address will
   * be the wrapped asset address.
   */
  // 8
  mapping(address => TokenId) adoptedToCanonical;
  /**
   * @notice Mapping of representation to canonical asset information.
   */
  // 9
  mapping(address => TokenId) representationToCanonical;
  /**
   * @notice Mapping of hash(canonicalId, canonicalDomain) to adopted asset on this domain.
   * @dev If the adopted asset is the native asset, the stored address will be the
   * wrapped asset address.
   */
  // 10
  mapping(bytes32 => address) canonicalToAdopted;
  /**
   * @notice Mapping of canonical to representation asset information.
   * @dev If the token is of local origin (meaning it was originanlly deployed on this chain),
   * this MUST map to address(0).
   */
  // 11
  mapping(bytes32 => address) canonicalToRepresentation;
  /**
   * @notice Mapping to track transfer status on destination domain
   */
  // 12
  mapping(bytes32 => DestinationTransferStatus) transferStatus;
  /**
   * @notice Mapping holding router address that provided fast liquidity.
   */
  // 13
  mapping(bytes32 => address[]) routedTransfers;
  /**
   * @notice Mapping of router to available balance of an asset.
   * @dev Routers should always store liquidity that they can expect to receive via the bridge on
   * this domain (the nomad local asset).
   */
  // 14
  mapping(address => mapping(address => uint256)) routerBalances;
  /**
   * @notice Mapping of approved relayers
   * @dev Send relayer fee if msg.sender is approvedRelayer; otherwise revert.
   */
  // 15
  mapping(address => bool) approvedRelayers;
  /**
   * @notice The max amount of routers a payment can be routed through.
   */
  // 18
  uint256 maxRoutersPerTransfer;
  /**
   * @notice Stores a mapping of transfer id to slippage overrides.
   */
  // 20
  mapping(bytes32 => uint256) slippage;
  /**
   * @notice Stores a mapping of remote routers keyed on domains.
   * @dev Addresses are cast to bytes32.
   * This mapping is required because the Connext now contains the BridgeRouter and must implement
   * the remotes interface.
   */
  // 21
  mapping(uint32 => bytes32) remotes;
  //
  // ProposedOwnable
  //
  // 22
  address _proposed;
  // 23
  uint256 _proposedOwnershipTimestamp;
  // 24
  bool _routerWhitelistRemoved;
  // 25
  uint256 _routerWhitelistTimestamp;
  // 26
  bool _assetWhitelistRemoved;
  // 27
  uint256 _assetWhitelistTimestamp;
  /**
   * @notice Stores a mapping of address to Roles
   * @dev returns uint representing the enum Role value
   */
  // 28
  mapping(address => Role) roles;
  //
  // RouterFacet
  //
  // 29
  RouterPermissionsManagerInfo routerPermissionInfo;
  //
  // ReentrancyGuard
  //
  // 30
  uint256 _status;
  //
  // StableSwap
  //
  /**
   * @notice Mapping holding the AMM storages for swapping in and out of local assets
   * @dev Swaps for an adopted asset <> nomad local asset (i.e. POS USDC <> madUSDC on polygon)
   * Struct storing data responsible for automatic market maker functionalities. In order to
   * access this data, this contract uses SwapUtils library. For more details, see SwapUtils.sol.
   */
  // 31
  mapping(bytes32 => SwapUtils.Swap) swapStorages;
  /**
   * @notice Maps token address to an index in the pool. Used to prevent duplicate tokens in the pool.
   * @dev getTokenIndex function also relies on this mapping to retrieve token index.
   */
  // 32
  mapping(bytes32 => mapping(address => uint8)) tokenIndexes;
  /**
   * @notice Stores whether or not bribing, AMMs, have been paused.
   */
  // 33
  bool _paused;
  //
  // AavePortals
  //
  /**
   * @notice Address of Aave Pool contract.
   */
  // 34
  address aavePool;
  /**
   * @notice Fee percentage numerator for using Portal liquidity.
   * @dev Assumes the same basis points as the liquidity fee.
   */
  // 35
  uint256 aavePortalFeeNumerator;
  /**
   * @notice Mapping to store the transfer liquidity amount provided by Aave Portals.
   */
  // 36
  mapping(bytes32 => uint256) portalDebt;
  /**
   * @notice Mapping to store the transfer liquidity amount provided by Aave Portals.
   */
  // 37
  mapping(bytes32 => uint256) portalFeeDebt;
  /**
   * @notice Mapping of approved sequencers
   * @dev Sequencer address provided must belong to an approved sequencer in order to call `execute`
   * for the fast liquidity route.
   */
  // 38
  mapping(address => bool) approvedSequencers;
  /**
   * @notice Remote connection manager for xapp.
   */
  // 39
  IConnectorManager xAppConnectionManager;
}

library LibConnextStorage {
  function connextStorage() internal pure returns (AppStorage storage ds) {
    assembly {
      ds.slot := 0
    }
  }
}

// File: @connext/nxtp-contracts/contracts/core/connext/libraries/LibDiamond.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

/******************************************************************************\
* Author: Nick Mudge <nick@perfectabstractions.com> (https://twitter.com/mudgen)
* EIP-2535 Diamonds: https://eips.ethereum.org/EIPS/eip-2535
/******************************************************************************/
import {IDiamondCut} from "../interfaces/IDiamondCut.sol";

// Remember to add the loupe functions from DiamondLoupeFacet to the diamond.
// The loupe functions are required by the EIP2535 Diamonds standard

library LibDiamond {
  bytes32 constant DIAMOND_STORAGE_POSITION = keccak256("diamond.standard.diamond.storage");

  struct FacetAddressAndPosition {
    address facetAddress;
    uint96 functionSelectorPosition; // position in facetFunctionSelectors.functionSelectors array
  }

  struct FacetFunctionSelectors {
    bytes4[] functionSelectors;
    uint256 facetAddressPosition; // position of facetAddress in facetAddresses array
  }

  struct DiamondStorage {
    // maps function selector to the facet address and
    // the position of the selector in the facetFunctionSelectors.selectors array
    mapping(bytes4 => FacetAddressAndPosition) selectorToFacetAndPosition;
    // maps facet addresses to function selectors
    mapping(address => FacetFunctionSelectors) facetFunctionSelectors;
    // facet addresses
    address[] facetAddresses;
    // Used to query if a contract implements an interface.
    // Used to implement ERC-165.
    mapping(bytes4 => bool) supportedInterfaces;
    // owner of the contract
    address contractOwner;
    // hash of proposed facets => acceptance time
    mapping(bytes32 => uint256) acceptanceTimes;
    // acceptance delay for upgrading facets
    uint256 acceptanceDelay;
  }

  function diamondStorage() internal pure returns (DiamondStorage storage ds) {
    bytes32 position = DIAMOND_STORAGE_POSITION;
    assembly {
      ds.slot := position
    }
  }

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

  function setContractOwner(address _newOwner) internal {
    DiamondStorage storage ds = diamondStorage();
    address previousOwner = ds.contractOwner;
    ds.contractOwner = _newOwner;
    emit OwnershipTransferred(previousOwner, _newOwner);
  }

  function contractOwner() internal view returns (address contractOwner_) {
    contractOwner_ = diamondStorage().contractOwner;
  }

  function acceptanceDelay() internal view returns (uint256) {
    return diamondStorage().acceptanceDelay;
  }

  function acceptanceTime(bytes32 _key) internal view returns (uint256) {
    return diamondStorage().acceptanceTimes[_key];
  }

  function enforceIsContractOwner() internal view {
    require(msg.sender == diamondStorage().contractOwner, "LibDiamond: !contract owner");
  }

  event DiamondCutProposed(IDiamondCut.FacetCut[] _diamondCut, address _init, bytes _calldata, uint256 deadline);

  function proposeDiamondCut(
    IDiamondCut.FacetCut[] memory _diamondCut,
    address _init,
    bytes memory _calldata
  ) internal {
    DiamondStorage storage ds = diamondStorage();
    uint256 acceptance = block.timestamp + ds.acceptanceDelay;
    ds.acceptanceTimes[keccak256(abi.encode(_diamondCut, _init, _calldata))] = acceptance;
    emit DiamondCutProposed(_diamondCut, _init, _calldata, acceptance);
  }

  event DiamondCutRescinded(IDiamondCut.FacetCut[] _diamondCut, address _init, bytes _calldata);

  function rescindDiamondCut(
    IDiamondCut.FacetCut[] memory _diamondCut,
    address _init,
    bytes memory _calldata
  ) internal {
    // NOTE: you can always rescind a proposed facet cut as the owner, even if outside of the validity
    // period or befor the delay elpases
    diamondStorage().acceptanceTimes[keccak256(abi.encode(_diamondCut, _init, _calldata))] = 0;
    emit DiamondCutRescinded(_diamondCut, _init, _calldata);
  }

  event DiamondCut(IDiamondCut.FacetCut[] _diamondCut, address _init, bytes _calldata);

  // Internal function version of diamondCut
  function diamondCut(
    IDiamondCut.FacetCut[] memory _diamondCut,
    address _init,
    bytes memory _calldata
  ) internal {
    DiamondStorage storage ds = diamondStorage();
    if (ds.facetAddresses.length != 0) {
      uint256 time = ds.acceptanceTimes[keccak256(abi.encode(_diamondCut, _init, _calldata))];
      require(time != 0 && time <= block.timestamp, "LibDiamond: delay not elapsed");
    } // Otherwise, this is the first instance of deployment and it can be set automatically
    for (uint256 facetIndex; facetIndex < _diamondCut.length; facetIndex++) {
      IDiamondCut.FacetCutAction action = _diamondCut[facetIndex].action;
      if (action == IDiamondCut.FacetCutAction.Add) {
        addFunctions(_diamondCut[facetIndex].facetAddress, _diamondCut[facetIndex].functionSelectors);
      } else if (action == IDiamondCut.FacetCutAction.Replace) {
        replaceFunctions(_diamondCut[facetIndex].facetAddress, _diamondCut[facetIndex].functionSelectors);
      } else if (action == IDiamondCut.FacetCutAction.Remove) {
        removeFunctions(_diamondCut[facetIndex].facetAddress, _diamondCut[facetIndex].functionSelectors);
      } else {
        revert("LibDiamondCut: Incorrect FacetCutAction");
      }
    }
    emit DiamondCut(_diamondCut, _init, _calldata);
    initializeDiamondCut(_init, _calldata);
  }

  function addFunctions(address _facetAddress, bytes4[] memory _functionSelectors) internal {
    require(_functionSelectors.length != 0, "LibDiamondCut: No selectors in facet to cut");
    DiamondStorage storage ds = diamondStorage();
    require(_facetAddress != address(0), "LibDiamondCut: Add facet can't be address(0)");
    uint96 selectorPosition = uint96(ds.facetFunctionSelectors[_facetAddress].functionSelectors.length);
    // add new facet address if it does not exist
    if (selectorPosition == 0) {
      addFacet(ds, _facetAddress);
    }
    for (uint256 selectorIndex; selectorIndex < _functionSelectors.length; selectorIndex++) {
      bytes4 selector = _functionSelectors[selectorIndex];
      address oldFacetAddress = ds.selectorToFacetAndPosition[selector].facetAddress;
      require(oldFacetAddress == address(0), "LibDiamondCut: Can't add function that already exists");
      addFunction(ds, selector, selectorPosition, _facetAddress);
      selectorPosition++;
    }
  }

  function replaceFunctions(address _facetAddress, bytes4[] memory _functionSelectors) internal {
    require(_functionSelectors.length != 0, "LibDiamondCut: No selectors in facet to cut");
    DiamondStorage storage ds = diamondStorage();
    require(_facetAddress != address(0), "LibDiamondCut: Add facet can't be address(0)");
    uint96 selectorPosition = uint96(ds.facetFunctionSelectors[_facetAddress].functionSelectors.length);
    // add new facet address if it does not exist
    if (selectorPosition == 0) {
      addFacet(ds, _facetAddress);
    }
    for (uint256 selectorIndex; selectorIndex < _functionSelectors.length; selectorIndex++) {
      bytes4 selector = _functionSelectors[selectorIndex];
      address oldFacetAddress = ds.selectorToFacetAndPosition[selector].facetAddress;
      require(oldFacetAddress != _facetAddress, "LibDiamondCut: Can't replace function with same function");
      removeFunction(ds, oldFacetAddress, selector);
      addFunction(ds, selector, selectorPosition, _facetAddress);
      selectorPosition++;
    }
  }

  function removeFunctions(address _facetAddress, bytes4[] memory _functionSelectors) internal {
    require(_functionSelectors.length != 0, "LibDiamondCut: No selectors in facet to cut");
    DiamondStorage storage ds = diamondStorage();
    // if function does not exist then do nothing and return
    require(_facetAddress == address(0), "LibDiamondCut: Remove facet address must be address(0)");
    for (uint256 selectorIndex; selectorIndex < _functionSelectors.length; selectorIndex++) {
      bytes4 selector = _functionSelectors[selectorIndex];
      address oldFacetAddress = ds.selectorToFacetAndPosition[selector].facetAddress;
      removeFunction(ds, oldFacetAddress, selector);
    }
  }

  function addFacet(DiamondStorage storage ds, address _facetAddress) internal {
    enforceHasContractCode(_facetAddress, "LibDiamondCut: New facet has no code");
    ds.facetFunctionSelectors[_facetAddress].facetAddressPosition = ds.facetAddresses.length;
    ds.facetAddresses.push(_facetAddress);
  }

  function addFunction(
    DiamondStorage storage ds,
    bytes4 _selector,
    uint96 _selectorPosition,
    address _facetAddress
  ) internal {
    ds.selectorToFacetAndPosition[_selector].functionSelectorPosition = _selectorPosition;
    ds.facetFunctionSelectors[_facetAddress].functionSelectors.push(_selector);
    ds.selectorToFacetAndPosition[_selector].facetAddress = _facetAddress;
  }

  function removeFunction(
    DiamondStorage storage ds,
    address _facetAddress,
    bytes4 _selector
  ) internal {
    require(_facetAddress != address(0), "LibDiamondCut: Can't remove function that doesn't exist");
    // an immutable function is a function defined directly in a diamond
    require(_facetAddress != address(this), "LibDiamondCut: Can't remove immutable function");
    // replace selector with last selector, then delete last selector
    uint256 selectorPosition = ds.selectorToFacetAndPosition[_selector].functionSelectorPosition;
    uint256 lastSelectorPosition = ds.facetFunctionSelectors[_facetAddress].functionSelectors.length - 1;
    // if not the same then replace _selector with lastSelector
    if (selectorPosition != lastSelectorPosition) {
      bytes4 lastSelector = ds.facetFunctionSelectors[_facetAddress].functionSelectors[lastSelectorPosition];
      ds.facetFunctionSelectors[_facetAddress].functionSelectors[selectorPosition] = lastSelector;
      ds.selectorToFacetAndPosition[lastSelector].functionSelectorPosition = uint96(selectorPosition);
    }
    // delete the last selector
    ds.facetFunctionSelectors[_facetAddress].functionSelectors.pop();
    delete ds.selectorToFacetAndPosition[_selector];

    // if no more selectors for facet address then delete the facet address
    if (lastSelectorPosition == 0) {
      // replace facet address with last facet address and delete last facet address
      uint256 lastFacetAddressPosition = ds.facetAddresses.length - 1;
      uint256 facetAddressPosition = ds.facetFunctionSelectors[_facetAddress].facetAddressPosition;
      if (facetAddressPosition != lastFacetAddressPosition) {
        address lastFacetAddress = ds.facetAddresses[lastFacetAddressPosition];
        ds.facetAddresses[facetAddressPosition] = lastFacetAddress;
        ds.facetFunctionSelectors[lastFacetAddress].facetAddressPosition = facetAddressPosition;
      }
      ds.facetAddresses.pop();
      delete ds.facetFunctionSelectors[_facetAddress].facetAddressPosition;
    }
  }

  function initializeDiamondCut(address _init, bytes memory _calldata) internal {
    if (_init == address(0)) {
      require(_calldata.length == 0, "LibDiamondCut: _init is address(0) but_calldata is not empty");
    } else {
      require(_calldata.length != 0, "LibDiamondCut: _calldata is empty but _init is not address(0)");
      if (_init != address(this)) {
        enforceHasContractCode(_init, "LibDiamondCut: _init address has no code");
      }
      (bool success, bytes memory error) = _init.delegatecall(_calldata);
      if (!success) {
        if (error.length != 0) {
          // bubble up the error
          revert(string(error));
        } else {
          revert("LibDiamondCut: _init function reverted");
        }
      }
    }
  }

  function enforceHasContractCode(address _contract, string memory _errorMessage) internal view {
    uint256 contractSize;
    assembly {
      contractSize := extcodesize(_contract)
    }
    require(contractSize != 0, _errorMessage);
  }
}

// File: @connext/nxtp-contracts/contracts/core/connext/libraries/SwapUtils.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

import {SafeERC20, IERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";

import {LPToken} from "../helpers/LPToken.sol";

import {AmplificationUtils} from "./AmplificationUtils.sol";
import {MathUtils} from "./MathUtils.sol";

/**
 * @title SwapUtils library
 * @notice A library to be used within Swap.sol. Contains functions responsible for custody and AMM functionalities.
 * @dev Contracts relying on this library must initialize SwapUtils.Swap struct then use this library
 * for SwapUtils.Swap struct. Note that this library contains both functions called by users and admins.
 * Admin functions should be protected within contracts using this library.
 */
library SwapUtils {
  using SafeERC20 for IERC20;
  using MathUtils for uint256;

  /*** EVENTS ***/

  event TokenSwap(
    bytes32 indexed key,
    address indexed buyer,
    uint256 tokensSold,
    uint256 tokensBought,
    uint128 soldId,
    uint128 boughtId
  );
  event AddLiquidity(
    bytes32 indexed key,
    address indexed provider,
    uint256[] tokenAmounts,
    uint256[] fees,
    uint256 invariant,
    uint256 lpTokenSupply
  );
  event RemoveLiquidity(bytes32 indexed key, address indexed provider, uint256[] tokenAmounts, uint256 lpTokenSupply);
  event RemoveLiquidityOne(
    bytes32 indexed key,
    address indexed provider,
    uint256 lpTokenAmount,
    uint256 lpTokenSupply,
    uint256 boughtId,
    uint256 tokensBought
  );
  event RemoveLiquidityImbalance(
    bytes32 indexed key,
    address indexed provider,
    uint256[] tokenAmounts,
    uint256[] fees,
    uint256 invariant,
    uint256 lpTokenSupply
  );
  event NewAdminFee(bytes32 indexed key, uint256 newAdminFee);
  event NewSwapFee(bytes32 indexed key, uint256 newSwapFee);

  struct Swap {
    // variables around the ramp management of A,
    // the amplification coefficient * n * (n - 1)
    // see https://www.curve.fi/stableswap-paper.pdf for details
    bytes32 key;
    uint256 initialA;
    uint256 futureA;
    uint256 initialATime;
    uint256 futureATime;
    // fee calculation
    uint256 swapFee;
    uint256 adminFee;
    LPToken lpToken;
    // contract references for all tokens being pooled
    IERC20[] pooledTokens;
    // multipliers for each pooled token's precision to get to POOL_PRECISION_DECIMALS
    // for example, TBTC has 18 decimals, so the multiplier should be 1. WBTC
    // has 8, so the multiplier should be 10 ** 18 / 10 ** 8 => 10 ** 10
    uint256[] tokenPrecisionMultipliers;
    // the pool balance of each token, in the token's precision
    // the contract's actual token balance might differ
    uint256[] balances;
    // the admin fee balance of each token, in the token's precision
    uint256[] adminFees;
  }

  // Struct storing variables used in calculations in the
  // calculateWithdrawOneTokenDY function to avoid stack too deep errors
  struct CalculateWithdrawOneTokenDYInfo {
    uint256 d0;
    uint256 d1;
    uint256 newY;
    uint256 feePerToken;
    uint256 preciseA;
  }

  // Struct storing variables used in calculations in the
  // {add,remove}Liquidity functions to avoid stack too deep errors
  struct ManageLiquidityInfo {
    uint256 d0;
    uint256 d1;
    uint256 d2;
    uint256 preciseA;
    LPToken lpToken;
    uint256 totalSupply;
    uint256[] balances;
    uint256[] multipliers;
  }

  // the precision all pools tokens will be converted to
  uint8 internal constant POOL_PRECISION_DECIMALS = 18;

  // the denominator used to calculate admin and LP fees. For example, an
  // LP fee might be something like tradeAmount.mul(fee).div(FEE_DENOMINATOR)
  uint256 internal constant FEE_DENOMINATOR = 1e10;

  // Max swap fee is 1% or 100bps of each swap
  uint256 internal constant MAX_SWAP_FEE = 1e8;

  // Max adminFee is 100% of the swapFee
  // adminFee does not add additional fee on top of swapFee
  // Instead it takes a certain % of the swapFee. Therefore it has no impact on the
  // users but only on the earnings of LPs
  uint256 internal constant MAX_ADMIN_FEE = 1e10;

  // Constant value used as max loop limit
  uint256 internal constant MAX_LOOP_LIMIT = 256;

  /*** VIEW & PURE FUNCTIONS ***/

  function _getAPrecise(Swap storage self) private view returns (uint256) {
    return AmplificationUtils._getAPrecise(self);
  }

  /**
   * @notice Calculate the dy, the amount of selected token that user receives and
   * the fee of withdrawing in one token
   * @param tokenAmount the amount to withdraw in the pool's precision
   * @param tokenIndex which token will be withdrawn
   * @param self Swap struct to read from
   * @return the amount of token user will receive
   */
  function calculateWithdrawOneToken(
    Swap storage self,
    uint256 tokenAmount,
    uint8 tokenIndex
  ) internal view returns (uint256) {
    (uint256 availableTokenAmount, ) = _calculateWithdrawOneToken(
      self,
      tokenAmount,
      tokenIndex,
      self.lpToken.totalSupply()
    );
    return availableTokenAmount;
  }

  function _calculateWithdrawOneToken(
    Swap storage self,
    uint256 tokenAmount,
    uint8 tokenIndex,
    uint256 totalSupply
  ) private view returns (uint256, uint256) {
    uint256 dy;
    uint256 newY;
    uint256 currentY;

    (dy, newY, currentY) = calculateWithdrawOneTokenDY(self, tokenIndex, tokenAmount, totalSupply);

    // dy_0 (without fees)
    // dy, dy_0 - dy

    uint256 dySwapFee = (currentY - newY) / self.tokenPrecisionMultipliers[tokenIndex] - dy;

    return (dy, dySwapFee);
  }

  /**
   * @notice Calculate the dy of withdrawing in one token
   * @param self Swap struct to read from
   * @param tokenIndex which token will be withdrawn
   * @param tokenAmount the amount to withdraw in the pools precision
   * @return the d and the new y after withdrawing one token
   */
  function calculateWithdrawOneTokenDY(
    Swap storage self,
    uint8 tokenIndex,
    uint256 tokenAmount,
    uint256 totalSupply
  )
    internal
    view
    returns (
      uint256,
      uint256,
      uint256
    )
  {
    // Get the current D, then solve the stableswap invariant
    // y_i for D - tokenAmount
    uint256[] memory xp = _xp(self);

    require(tokenIndex < xp.length, "index out of range");

    CalculateWithdrawOneTokenDYInfo memory v = CalculateWithdrawOneTokenDYInfo(0, 0, 0, 0, 0);
    v.preciseA = _getAPrecise(self);
    v.d0 = getD(xp, v.preciseA);
    v.d1 = v.d0 - ((tokenAmount * v.d0) / totalSupply);

    require(tokenAmount <= xp[tokenIndex], "exceeds available");

    v.newY = getYD(v.preciseA, tokenIndex, xp, v.d1);

    uint256[] memory xpReduced = new uint256[](xp.length);

    v.feePerToken = _feePerToken(self.swapFee, xp.length);
    // TODO: Set a length variable (at top) instead of reading xp.length on each loop.
    for (uint256 i; i < xp.length; ) {
      uint256 xpi = xp[i];
      // if i == tokenIndex, dxExpected = xp[i] * d1 / d0 - newY
      // else dxExpected = xp[i] - (xp[i] * d1 / d0)
      // xpReduced[i] -= dxExpected * fee / FEE_DENOMINATOR
      xpReduced[i] =
        xpi -
        ((((i == tokenIndex) ? ((xpi * v.d1) / v.d0 - v.newY) : (xpi - (xpi * v.d1) / v.d0)) * v.feePerToken) /
          FEE_DENOMINATOR);

      unchecked {
        ++i;
      }
    }

    uint256 dy = xpReduced[tokenIndex] - getYD(v.preciseA, tokenIndex, xpReduced, v.d1);
    dy = (dy - 1) / (self.tokenPrecisionMultipliers[tokenIndex]);

    return (dy, v.newY, xp[tokenIndex]);
  }

  /**
   * @notice Calculate the price of a token in the pool with given
   * precision-adjusted balances and a particular D.
   *
   * @dev This is accomplished via solving the invariant iteratively.
   * See the StableSwap paper and Curve.fi implementation for further details.
   *
   * x_1**2 + x1 * (sum' - (A*n**n - 1) * D / (A * n**n)) = D ** (n + 1) / (n ** (2 * n) * prod' * A)
   * x_1**2 + b*x_1 = c
   * x_1 = (x_1**2 + c) / (2*x_1 + b)
   *
   * @param a the amplification coefficient * n * (n - 1). See the StableSwap paper for details.
   * @param tokenIndex Index of token we are calculating for.
   * @param xp a precision-adjusted set of pool balances. Array should be
   * the same cardinality as the pool.
   * @param d the stableswap invariant
   * @return the price of the token, in the same precision as in xp
   */
  function getYD(
    uint256 a,
    uint8 tokenIndex,
    uint256[] memory xp,
    uint256 d
  ) internal pure returns (uint256) {
    uint256 numTokens = xp.length;
    require(tokenIndex < numTokens, "Token not found");

    uint256 c = d;
    uint256 s;
    uint256 nA = a * numTokens;

    for (uint256 i; i < numTokens; ) {
      if (i != tokenIndex) {
        s += xp[i];
        c = (c * d) / (xp[i] * numTokens);
        // If we were to protect the division loss we would have to keep the denominator separate
        // and divide at the end. However this leads to overflow with large numTokens or/and D.
        // c = c * D * D * D * ... overflow!
      }

      unchecked {
        ++i;
      }
    }
    c = (c * d * AmplificationUtils.A_PRECISION) / (nA * numTokens);

    uint256 b = s + ((d * AmplificationUtils.A_PRECISION) / nA);
    uint256 yPrev;
    uint256 y = d;
    for (uint256 i; i < MAX_LOOP_LIMIT; ) {
      yPrev = y;
      y = ((y * y) + c) / ((y * 2) + b - d);
      if (y.within1(yPrev)) {
        return y;
      }

      unchecked {
        ++i;
      }
    }
    revert("Approximation did not converge");
  }

  /**
   * @notice Get D, the StableSwap invariant, based on a set of balances and a particular A.
   * @param xp a precision-adjusted set of pool balances. Array should be the same cardinality
   * as the pool.
   * @param a the amplification coefficient * n * (n - 1) in A_PRECISION.
   * See the StableSwap paper for details
   * @return the invariant, at the precision of the pool
   */
  function getD(uint256[] memory xp, uint256 a) internal pure returns (uint256) {
    uint256 numTokens = xp.length;
    uint256 s;
    for (uint256 i; i < numTokens; ) {
      s += xp[i];

      unchecked {
        ++i;
      }
    }
    if (s == 0) {
      return 0;
    }

    uint256 prevD;
    uint256 d = s;
    uint256 nA = a * numTokens;

    for (uint256 i; i < MAX_LOOP_LIMIT; ) {
      uint256 dP = d;
      for (uint256 j; j < numTokens; ) {
        dP = (dP * d) / (xp[j] * numTokens);
        // If we were to protect the division loss we would have to keep the denominator separate
        // and divide at the end. However this leads to overflow with large numTokens or/and D.
        // dP = dP * D * D * D * ... overflow!

        unchecked {
          ++j;
        }
      }
      prevD = d;
      d =
        (((nA * s) / AmplificationUtils.A_PRECISION + dP * numTokens) * d) /
        ((((nA - AmplificationUtils.A_PRECISION) * d) / AmplificationUtils.A_PRECISION + (numTokens + 1) * dP));
      if (d.within1(prevD)) {
        return d;
      }

      unchecked {
        ++i;
      }
    }

    // Convergence should occur in 4 loops or less. If this is reached, there may be something wrong
    // with the pool. If this were to occur repeatedly, LPs should withdraw via `removeLiquidity()`
    // function which does not rely on D.
    revert("D does not converge");
  }

  /**
   * @notice Given a set of balances and precision multipliers, return the
   * precision-adjusted balances.
   *
   * @param balances an array of token balances, in their native precisions.
   * These should generally correspond with pooled tokens.
   *
   * @param precisionMultipliers an array of multipliers, corresponding to
   * the amounts in the balances array. When multiplied together they
   * should yield amounts at the pool's precision.
   *
   * @return an array of amounts "scaled" to the pool's precision
   */
  function _xp(uint256[] memory balances, uint256[] memory precisionMultipliers)
    internal
    pure
    returns (uint256[] memory)
  {
    uint256 numTokens = balances.length;
    require(numTokens == precisionMultipliers.length, "mismatch multipliers");
    uint256[] memory xp = new uint256[](numTokens);
    for (uint256 i; i < numTokens; ) {
      xp[i] = balances[i] * precisionMultipliers[i];

      unchecked {
        ++i;
      }
    }
    return xp;
  }

  /**
   * @notice Return the precision-adjusted balances of all tokens in the pool
   * @param self Swap struct to read from
   * @return the pool balances "scaled" to the pool's precision, allowing
   * them to be more easily compared.
   */
  function _xp(Swap storage self) internal view returns (uint256[] memory) {
    return _xp(self.balances, self.tokenPrecisionMultipliers);
  }

  /**
   * @notice Get the virtual price, to help calculate profit
   * @param self Swap struct to read from
   * @return the virtual price, scaled to precision of POOL_PRECISION_DECIMALS
   */
  function getVirtualPrice(Swap storage self) internal view returns (uint256) {
    uint256 d = getD(_xp(self), _getAPrecise(self));
    LPToken lpToken = self.lpToken;
    uint256 supply = lpToken.totalSupply();
    if (supply != 0) {
      return (d * (10**uint256(POOL_PRECISION_DECIMALS))) / supply;
    }
    return 0;
  }

  /**
   * @notice Calculate the new balances of the tokens given the indexes of the token
   * that is swapped from (FROM) and the token that is swapped to (TO).
   * This function is used as a helper function to calculate how much TO token
   * the user should receive on swap.
   *
   * @param preciseA precise form of amplification coefficient
   * @param tokenIndexFrom index of FROM token
   * @param tokenIndexTo index of TO token
   * @param x the new total amount of FROM token
   * @param xp balances of the tokens in the pool
   * @return the amount of TO token that should remain in the pool
   */
  function getY(
    uint256 preciseA,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 x,
    uint256[] memory xp
  ) internal pure returns (uint256) {
    uint256 numTokens = xp.length;
    require(tokenIndexFrom != tokenIndexTo, "compare token to itself");
    require(tokenIndexFrom < numTokens && tokenIndexTo < numTokens, "token not found");

    uint256 d = getD(xp, preciseA);
    uint256 c = d;
    uint256 s;
    uint256 nA = numTokens * preciseA;

    uint256 _x;
    for (uint256 i; i < numTokens; ) {
      if (i == tokenIndexFrom) {
        _x = x;
      } else if (i != tokenIndexTo) {
        _x = xp[i];
      } else {
        unchecked {
          ++i;
        }
        continue;
      }
      s += _x;
      c = (c * d) / (_x * numTokens);
      // If we were to protect the division loss we would have to keep the denominator separate
      // and divide at the end. However this leads to overflow with large numTokens or/and D.
      // c = c * D * D * D * ... overflow!

      unchecked {
        ++i;
      }
    }
    c = (c * d * AmplificationUtils.A_PRECISION) / (nA * numTokens);
    uint256 b = s + ((d * AmplificationUtils.A_PRECISION) / nA);
    uint256 yPrev;
    uint256 y = d;

    // iterative approximation
    for (uint256 i; i < MAX_LOOP_LIMIT; ) {
      yPrev = y;
      y = ((y * y) + c) / ((y * 2) + b - d);
      if (y.within1(yPrev)) {
        return y;
      }

      unchecked {
        ++i;
      }
    }
    revert("Approximation did not converge");
  }

  /**
   * @notice Externally calculates a swap between two tokens.
   * @param self Swap struct to read from
   * @param tokenIndexFrom the token to sell
   * @param tokenIndexTo the token to buy
   * @param dx the number of tokens to sell. If the token charges a fee on transfers,
   * use the amount that gets transferred after the fee.
   * @return dy the number of tokens the user will get
   */
  function calculateSwap(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx
  ) internal view returns (uint256 dy) {
    (dy, ) = _calculateSwap(self, tokenIndexFrom, tokenIndexTo, dx, self.balances);
  }

  /**
   * @notice Externally calculates a swap between two tokens.
   * @param self Swap struct to read from
   * @param tokenIndexFrom the token to sell
   * @param tokenIndexTo the token to buy
   * @param dy the number of tokens to buy.
   * @return dx the number of tokens the user have to transfer + fee
   */
  function calculateSwapInv(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dy
  ) internal view returns (uint256 dx) {
    (dx, ) = _calculateSwapInv(self, tokenIndexFrom, tokenIndexTo, dy, self.balances);
  }

  /**
   * @notice Internally calculates a swap between two tokens.
   *
   * @dev The caller is expected to transfer the actual amounts (dx and dy)
   * using the token contracts.
   *
   * @param self Swap struct to read from
   * @param tokenIndexFrom the token to sell
   * @param tokenIndexTo the token to buy
   * @param dx the number of tokens to sell. If the token charges a fee on transfers,
   * use the amount that gets transferred after the fee.
   * @return dy the number of tokens the user will get in the token's precision. ex WBTC -> 8
   * @return dyFee the associated fee in multiplied precision (POOL_PRECISION_DECIMALS)
   */
  function _calculateSwap(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx,
    uint256[] memory balances
  ) internal view returns (uint256 dy, uint256 dyFee) {
    uint256[] memory multipliers = self.tokenPrecisionMultipliers;
    uint256[] memory xp = _xp(balances, multipliers);
    require(tokenIndexFrom < xp.length && tokenIndexTo < xp.length, "index out of range");
    uint256 x = dx * multipliers[tokenIndexFrom] + xp[tokenIndexFrom];
    uint256 y = getY(_getAPrecise(self), tokenIndexFrom, tokenIndexTo, x, xp);
    dy = xp[tokenIndexTo] - y - 1;
    dyFee = (dy * self.swapFee) / FEE_DENOMINATOR;
    dy = (dy - dyFee) / multipliers[tokenIndexTo];
  }

  /**
   * @notice Internally calculates a swap between two tokens.
   *
   * @dev The caller is expected to transfer the actual amounts (dx and dy)
   * using the token contracts.
   *
   * @param self Swap struct to read from
   * @param tokenIndexFrom the token to sell
   * @param tokenIndexTo the token to buy
   * @param dy the number of tokens to buy. If the token charges a fee on transfers,
   * use the amount that gets transferred after the fee.
   * @return dx the number of tokens the user have to deposit in the token's precision. ex WBTC -> 8
   * @return dxFee the associated fee in multiplied precision (POOL_PRECISION_DECIMALS)
   */
  function _calculateSwapInv(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dy,
    uint256[] memory balances
  ) internal view returns (uint256 dx, uint256 dxFee) {
    require(tokenIndexFrom != tokenIndexTo, "compare token to itself");
    uint256[] memory multipliers = self.tokenPrecisionMultipliers;
    uint256[] memory xp = _xp(balances, multipliers);
    require(tokenIndexFrom < xp.length && tokenIndexTo < xp.length, "index out of range");

    uint256 a = _getAPrecise(self);
    uint256 d0 = getD(xp, a);

    xp[tokenIndexTo] = xp[tokenIndexTo] - (dy * multipliers[tokenIndexTo]);
    uint256 x = getYD(a, tokenIndexFrom, xp, d0);
    dx = x - xp[tokenIndexFrom] + 1;
    dxFee = (dx * self.swapFee) / FEE_DENOMINATOR;
    dx = (dx + dxFee) / multipliers[tokenIndexFrom];
  }

  /**
   * @notice A simple method to calculate amount of each underlying
   * tokens that is returned upon burning given amount of
   * LP tokens
   *
   * @param amount the amount of LP tokens that would to be burned on
   * withdrawal
   * @return array of amounts of tokens user will receive
   */
  function calculateRemoveLiquidity(Swap storage self, uint256 amount) internal view returns (uint256[] memory) {
    return _calculateRemoveLiquidity(self.balances, amount, self.lpToken.totalSupply());
  }

  function _calculateRemoveLiquidity(
    uint256[] memory balances,
    uint256 amount,
    uint256 totalSupply
  ) internal pure returns (uint256[] memory) {
    require(amount <= totalSupply, "exceed total supply");

    uint256 numBalances = balances.length;
    uint256[] memory amounts = new uint256[](numBalances);

    for (uint256 i; i < numBalances; ) {
      amounts[i] = (balances[i] * amount) / totalSupply;

      unchecked {
        ++i;
      }
    }
    return amounts;
  }

  /**
   * @notice A simple method to calculate prices from deposits or
   * withdrawals, excluding fees but including slippage. This is
   * helpful as an input into the various "min" parameters on calls
   * to fight front-running
   *
   * @dev This shouldn't be used outside frontends for user estimates.
   *
   * @param self Swap struct to read from
   * @param amounts an array of token amounts to deposit or withdrawal,
   * corresponding to pooledTokens. The amount should be in each
   * pooled token's native precision. If a token charges a fee on transfers,
   * use the amount that gets transferred after the fee.
   * @param deposit whether this is a deposit or a withdrawal
   * @return if deposit was true, total amount of lp token that will be minted and if
   * deposit was false, total amount of lp token that will be burned
   */
  function calculateTokenAmount(
    Swap storage self,
    uint256[] calldata amounts,
    bool deposit
  ) internal view returns (uint256) {
    uint256 a = _getAPrecise(self);
    uint256[] memory balances = self.balances;
    uint256[] memory multipliers = self.tokenPrecisionMultipliers;

    uint256 numBalances = balances.length;
    uint256 d0 = getD(_xp(balances, multipliers), a);
    for (uint256 i; i < numBalances; ) {
      if (deposit) {
        balances[i] = balances[i] + amounts[i];
      } else {
        balances[i] = balances[i] - amounts[i];
      }

      unchecked {
        ++i;
      }
    }
    uint256 d1 = getD(_xp(balances, multipliers), a);
    uint256 totalSupply = self.lpToken.totalSupply();

    if (deposit) {
      return ((d1 - d0) * totalSupply) / d0;
    } else {
      return ((d0 - d1) * totalSupply) / d0;
    }
  }

  /**
   * @notice return accumulated amount of admin fees of the token with given index
   * @param self Swap struct to read from
   * @param index Index of the pooled token
   * @return admin balance in the token's precision
   */
  function getAdminBalance(Swap storage self, uint256 index) internal view returns (uint256) {
    require(index < self.pooledTokens.length, "index out of range");
    return self.adminFees[index];
  }

  /**
   * @notice internal helper function to calculate fee per token multiplier used in
   * swap fee calculations
   * @param swapFee swap fee for the tokens
   * @param numTokens number of tokens pooled
   */
  function _feePerToken(uint256 swapFee, uint256 numTokens) internal pure returns (uint256) {
    return (swapFee * numTokens) / ((numTokens - 1) * 4);
  }

  /*** STATE MODIFYING FUNCTIONS ***/

  /**
   * @notice swap two tokens in the pool
   * @param self Swap struct to read from and write to
   * @param tokenIndexFrom the token the user wants to sell
   * @param tokenIndexTo the token the user wants to buy
   * @param dx the amount of tokens the user wants to sell
   * @param minDy the min amount the user would like to receive, or revert.
   * @return amount of token user received on swap
   */
  function swap(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx,
    uint256 minDy
  ) internal returns (uint256) {
    {
      IERC20 tokenFrom = self.pooledTokens[tokenIndexFrom];
      require(dx <= tokenFrom.balanceOf(msg.sender), "swap more than you own");
      // Transfer tokens first to see if a fee was charged on transfer
      uint256 beforeBalance = tokenFrom.balanceOf(address(this));
      tokenFrom.safeTransferFrom(msg.sender, address(this), dx);

      // Use the actual transferred amount for AMM math
      require(dx == tokenFrom.balanceOf(address(this)) - beforeBalance, "no fee token support");
    }

    uint256 dy;
    uint256 dyFee;
    uint256[] memory balances = self.balances;
    (dy, dyFee) = _calculateSwap(self, tokenIndexFrom, tokenIndexTo, dx, balances);
    require(dy >= minDy, "dy < minDy");

    uint256 dyAdminFee = (dyFee * self.adminFee) / FEE_DENOMINATOR / self.tokenPrecisionMultipliers[tokenIndexTo];

    self.balances[tokenIndexFrom] = balances[tokenIndexFrom] + dx;
    self.balances[tokenIndexTo] = balances[tokenIndexTo] - dy - dyAdminFee;
    if (dyAdminFee != 0) {
      self.adminFees[tokenIndexTo] = self.adminFees[tokenIndexTo] + dyAdminFee;
    }

    self.pooledTokens[tokenIndexTo].safeTransfer(msg.sender, dy);

    emit TokenSwap(self.key, msg.sender, dx, dy, tokenIndexFrom, tokenIndexTo);

    return dy;
  }

  /**
   * @notice swap two tokens in the pool
   * @param self Swap struct to read from and write to
   * @param tokenIndexFrom the token the user wants to sell
   * @param tokenIndexTo the token the user wants to buy
   * @param dy the amount of tokens the user wants to buy
   * @param maxDx the max amount the user would like to send.
   * @return amount of token user have to transfer on swap
   */
  function swapOut(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dy,
    uint256 maxDx
  ) internal returns (uint256) {
    require(dy <= self.balances[tokenIndexTo], ">pool balance");

    uint256 dx;
    uint256 dxFee;
    uint256[] memory balances = self.balances;
    (dx, dxFee) = _calculateSwapInv(self, tokenIndexFrom, tokenIndexTo, dy, balances);
    require(dx <= maxDx, "dx > maxDx");

    uint256 dxAdminFee = (dxFee * self.adminFee) / FEE_DENOMINATOR / self.tokenPrecisionMultipliers[tokenIndexFrom];

    self.balances[tokenIndexFrom] = balances[tokenIndexFrom] + dx - dxAdminFee;
    self.balances[tokenIndexTo] = balances[tokenIndexTo] - dy;
    if (dxAdminFee != 0) {
      self.adminFees[tokenIndexFrom] = self.adminFees[tokenIndexFrom] + dxAdminFee;
    }

    {
      IERC20 tokenFrom = self.pooledTokens[tokenIndexFrom];
      require(dx <= tokenFrom.balanceOf(msg.sender), "more than you own");
      // Transfer tokens first to see if a fee was charged on transfer
      uint256 beforeBalance = tokenFrom.balanceOf(address(this));
      tokenFrom.safeTransferFrom(msg.sender, address(this), dx);

      // Use the actual transferred amount for AMM math
      require(dx == tokenFrom.balanceOf(address(this)) - beforeBalance, "not support fee token");
    }

    self.pooledTokens[tokenIndexTo].safeTransfer(msg.sender, dy);

    emit TokenSwap(self.key, msg.sender, dx, dy, tokenIndexFrom, tokenIndexTo);

    return dx;
  }

  /**
   * @notice swap two tokens in the pool internally
   * @param self Swap struct to read from and write to
   * @param tokenIndexFrom the token the user wants to sell
   * @param tokenIndexTo the token the user wants to buy
   * @param dx the amount of tokens the user wants to sell
   * @param minDy the min amount the user would like to receive, or revert.
   * @return amount of token user received on swap
   */
  function swapInternal(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx,
    uint256 minDy
  ) internal returns (uint256) {
    require(dx <= self.balances[tokenIndexFrom], "more than pool balance");

    uint256 dy;
    uint256 dyFee;
    uint256[] memory balances = self.balances;
    (dy, dyFee) = _calculateSwap(self, tokenIndexFrom, tokenIndexTo, dx, balances);
    require(dy >= minDy, "dy < minDy");

    uint256 dyAdminFee = (dyFee * self.adminFee) / FEE_DENOMINATOR / self.tokenPrecisionMultipliers[tokenIndexTo];

    self.balances[tokenIndexFrom] = balances[tokenIndexFrom] + dx;
    self.balances[tokenIndexTo] = balances[tokenIndexTo] - dy - dyAdminFee;

    if (dyAdminFee != 0) {
      self.adminFees[tokenIndexTo] = self.adminFees[tokenIndexTo] + dyAdminFee;
    }

    emit TokenSwap(self.key, msg.sender, dx, dy, tokenIndexFrom, tokenIndexTo);

    return dy;
  }

  /**
   * @notice Should get exact amount out of AMM for asset put in
   */
  function swapInternalOut(
    Swap storage self,
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dy,
    uint256 maxDx
  ) internal returns (uint256) {
    require(dy <= self.balances[tokenIndexTo], "more than pool balance");

    uint256 dx;
    uint256 dxFee;
    uint256[] memory balances = self.balances;
    (dx, dxFee) = _calculateSwapInv(self, tokenIndexFrom, tokenIndexTo, dy, balances);
    require(dx <= maxDx, "dx > maxDx");

    uint256 dxAdminFee = (dxFee * self.adminFee) / FEE_DENOMINATOR / self.tokenPrecisionMultipliers[tokenIndexFrom];

    self.balances[tokenIndexFrom] = balances[tokenIndexFrom] + dx - dxAdminFee;
    self.balances[tokenIndexTo] = balances[tokenIndexTo] - dy;

    if (dxAdminFee != 0) {
      self.adminFees[tokenIndexFrom] = self.adminFees[tokenIndexFrom] + dxAdminFee;
    }

    emit TokenSwap(self.key, msg.sender, dx, dy, tokenIndexFrom, tokenIndexTo);

    return dx;
  }

  /**
   * @notice Add liquidity to the pool
   * @param self Swap struct to read from and write to
   * @param amounts the amounts of each token to add, in their native precision
   * @param minToMint the minimum LP tokens adding this amount of liquidity
   * should mint, otherwise revert. Handy for front-running mitigation
   * allowed addresses. If the pool is not in the guarded launch phase, this parameter will be ignored.
   * @return amount of LP token user received
   */
  function addLiquidity(
    Swap storage self,
    uint256[] memory amounts,
    uint256 minToMint
  ) internal returns (uint256) {
    uint256 numTokens = self.pooledTokens.length;
    require(amounts.length == numTokens, "mismatch pooled tokens");

    // current state
    ManageLiquidityInfo memory v = ManageLiquidityInfo(
      0,
      0,
      0,
      _getAPrecise(self),
      self.lpToken,
      0,
      self.balances,
      self.tokenPrecisionMultipliers
    );
    v.totalSupply = v.lpToken.totalSupply();
    if (v.totalSupply != 0) {
      v.d0 = getD(_xp(v.balances, v.multipliers), v.preciseA);
    }

    uint256[] memory newBalances = new uint256[](numTokens);

    for (uint256 i; i < numTokens; ) {
      require(v.totalSupply != 0 || amounts[i] != 0, "!supply all tokens");

      // Transfer tokens first to see if a fee was charged on transfer
      if (amounts[i] != 0) {
        IERC20 token = self.pooledTokens[i];
        uint256 beforeBalance = token.balanceOf(address(this));
        token.safeTransferFrom(msg.sender, address(this), amounts[i]);

        // Update the amounts[] with actual transfer amount
        amounts[i] = token.balanceOf(address(this)) - beforeBalance;
      }

      newBalances[i] = v.balances[i] + amounts[i];

      unchecked {
        ++i;
      }
    }

    // invariant after change
    v.d1 = getD(_xp(newBalances, v.multipliers), v.preciseA);
    require(v.d1 > v.d0, "D should increase");

    // updated to reflect fees and calculate the user's LP tokens
    v.d2 = v.d1;
    uint256[] memory fees = new uint256[](numTokens);

    if (v.totalSupply != 0) {
      uint256 feePerToken = _feePerToken(self.swapFee, numTokens);
      for (uint256 i; i < numTokens; ) {
        uint256 idealBalance = (v.d1 * v.balances[i]) / v.d0;
        fees[i] = (feePerToken * (idealBalance.difference(newBalances[i]))) / FEE_DENOMINATOR;
        uint256 adminFee = (fees[i] * self.adminFee) / FEE_DENOMINATOR;
        self.balances[i] = newBalances[i] - adminFee;
        self.adminFees[i] = self.adminFees[i] + adminFee;
        newBalances[i] = newBalances[i] - fees[i];

        unchecked {
          ++i;
        }
      }
      v.d2 = getD(_xp(newBalances, v.multipliers), v.preciseA);
    } else {
      // the initial depositor doesn't pay fees
      self.balances = newBalances;
    }

    uint256 toMint;
    if (v.totalSupply == 0) {
      toMint = v.d1;
    } else {
      toMint = ((v.d2 - v.d0) * v.totalSupply) / v.d0;
    }

    require(toMint >= minToMint, "mint < min");

    // mint the user's LP tokens
    v.lpToken.mint(msg.sender, toMint);

    emit AddLiquidity(self.key, msg.sender, amounts, fees, v.d1, v.totalSupply + toMint);

    return toMint;
  }

  /**
   * @notice Burn LP tokens to remove liquidity from the pool.
   * @dev Liquidity can always be removed, even when the pool is paused.
   * @param self Swap struct to read from and write to
   * @param amount the amount of LP tokens to burn
   * @param minAmounts the minimum amounts of each token in the pool
   * acceptable for this burn. Useful as a front-running mitigation
   * @return amounts of tokens the user received
   */
  function removeLiquidity(
    Swap storage self,
    uint256 amount,
    uint256[] calldata minAmounts
  ) internal returns (uint256[] memory) {
    LPToken lpToken = self.lpToken;
    require(amount <= lpToken.balanceOf(msg.sender), ">LP.balanceOf");
    uint256 numTokens = self.pooledTokens.length;
    require(minAmounts.length == numTokens, "mismatch poolTokens");

    uint256[] memory balances = self.balances;
    uint256 totalSupply = lpToken.totalSupply();

    uint256[] memory amounts = _calculateRemoveLiquidity(balances, amount, totalSupply);

    uint256 numAmounts = amounts.length;
    for (uint256 i; i < numAmounts; ) {
      require(amounts[i] >= minAmounts[i], "amounts[i] < minAmounts[i]");
      self.balances[i] = balances[i] - amounts[i];
      self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);

      unchecked {
        ++i;
      }
    }

    lpToken.burnFrom(msg.sender, amount);

    emit RemoveLiquidity(self.key, msg.sender, amounts, totalSupply - amount);

    return amounts;
  }

  /**
   * @notice Remove liquidity from the pool all in one token.
   * @param self Swap struct to read from and write to
   * @param tokenAmount the amount of the lp tokens to burn
   * @param tokenIndex the index of the token you want to receive
   * @param minAmount the minimum amount to withdraw, otherwise revert
   * @return amount chosen token that user received
   */
  function removeLiquidityOneToken(
    Swap storage self,
    uint256 tokenAmount,
    uint8 tokenIndex,
    uint256 minAmount
  ) internal returns (uint256) {
    LPToken lpToken = self.lpToken;

    require(tokenAmount <= lpToken.balanceOf(msg.sender), ">LP.balanceOf");
    uint256 numTokens = self.pooledTokens.length;
    require(tokenIndex < numTokens, "not found");

    uint256 totalSupply = lpToken.totalSupply();

    (uint256 dy, uint256 dyFee) = _calculateWithdrawOneToken(self, tokenAmount, tokenIndex, totalSupply);

    require(dy >= minAmount, "dy < minAmount");

    uint256 adminFee = (dyFee * self.adminFee) / FEE_DENOMINATOR;
    self.balances[tokenIndex] = self.balances[tokenIndex] - (dy + adminFee);
    if (adminFee != 0) {
      self.adminFees[tokenIndex] = self.adminFees[tokenIndex] + adminFee;
    }
    lpToken.burnFrom(msg.sender, tokenAmount);
    self.pooledTokens[tokenIndex].safeTransfer(msg.sender, dy);

    emit RemoveLiquidityOne(self.key, msg.sender, tokenAmount, totalSupply, tokenIndex, dy);

    return dy;
  }

  /**
   * @notice Remove liquidity from the pool, weighted differently than the
   * pool's current balances.
   *
   * @param self Swap struct to read from and write to
   * @param amounts how much of each token to withdraw
   * @param maxBurnAmount the max LP token provider is willing to pay to
   * remove liquidity. Useful as a front-running mitigation.
   * @return actual amount of LP tokens burned in the withdrawal
   */
  function removeLiquidityImbalance(
    Swap storage self,
    uint256[] memory amounts,
    uint256 maxBurnAmount
  ) internal returns (uint256) {
    ManageLiquidityInfo memory v = ManageLiquidityInfo(
      0,
      0,
      0,
      _getAPrecise(self),
      self.lpToken,
      0,
      self.balances,
      self.tokenPrecisionMultipliers
    );
    v.totalSupply = v.lpToken.totalSupply();

    uint256 numTokens = self.pooledTokens.length;
    uint256 numAmounts = amounts.length;
    require(numAmounts == numTokens, "mismatch pool tokens");

    require(maxBurnAmount <= v.lpToken.balanceOf(msg.sender) && maxBurnAmount != 0, ">LP.balanceOf");

    uint256 feePerToken = _feePerToken(self.swapFee, numTokens);
    uint256[] memory fees = new uint256[](numTokens);
    {
      uint256[] memory balances1 = new uint256[](numTokens);
      v.d0 = getD(_xp(v.balances, v.multipliers), v.preciseA);
      for (uint256 i; i < numTokens; ) {
        require(v.balances[i] >= amounts[i], "withdraw more than available");

        unchecked {
          balances1[i] = v.balances[i] - amounts[i];
          ++i;
        }
      }
      v.d1 = getD(_xp(balances1, v.multipliers), v.preciseA);

      for (uint256 i; i < numTokens; ) {
        {
          uint256 idealBalance = (v.d1 * v.balances[i]) / v.d0;
          uint256 difference = idealBalance.difference(balances1[i]);
          fees[i] = (feePerToken * difference) / FEE_DENOMINATOR;
        }
        uint256 adminFee = (fees[i] * self.adminFee) / FEE_DENOMINATOR;
        self.balances[i] = balances1[i] - adminFee;
        self.adminFees[i] = self.adminFees[i] + adminFee;
        balances1[i] = balances1[i] - fees[i];

        unchecked {
          ++i;
        }
      }

      v.d2 = getD(_xp(balances1, v.multipliers), v.preciseA);
    }
    uint256 tokenAmount = ((v.d0 - v.d2) * v.totalSupply) / v.d0;
    require(tokenAmount != 0, "!zero amount");
    tokenAmount = tokenAmount + 1;

    require(tokenAmount <= maxBurnAmount, "tokenAmount > maxBurnAmount");

    v.lpToken.burnFrom(msg.sender, tokenAmount);

    for (uint256 i; i < numTokens; ) {
      self.pooledTokens[i].safeTransfer(msg.sender, amounts[i]);

      unchecked {
        ++i;
      }
    }

    emit RemoveLiquidityImbalance(self.key, msg.sender, amounts, fees, v.d1, v.totalSupply - tokenAmount);

    return tokenAmount;
  }

  /**
   * @notice withdraw all admin fees to a given address
   * @param self Swap struct to withdraw fees from
   * @param to Address to send the fees to
   */
  function withdrawAdminFees(Swap storage self, address to) internal {
    uint256 numTokens = self.pooledTokens.length;
    for (uint256 i; i < numTokens; ) {
      IERC20 token = self.pooledTokens[i];
      uint256 balance = self.adminFees[i];
      if (balance != 0) {
        self.adminFees[i] = 0;
        token.safeTransfer(to, balance);
      }

      unchecked {
        ++i;
      }
    }
  }

  /**
   * @notice Sets the admin fee
   * @dev adminFee cannot be higher than 100% of the swap fee
   * @param self Swap struct to update
   * @param newAdminFee new admin fee to be applied on future transactions
   */
  function setAdminFee(Swap storage self, uint256 newAdminFee) internal {
    require(newAdminFee <= MAX_ADMIN_FEE, "too high");
    self.adminFee = newAdminFee;

    emit NewAdminFee(self.key, newAdminFee);
  }

  /**
   * @notice update the swap fee
   * @dev fee cannot be higher than 1% of each swap
   * @param self Swap struct to update
   * @param newSwapFee new swap fee to be applied on future transactions
   */
  function setSwapFee(Swap storage self, uint256 newSwapFee) internal {
    require(newSwapFee <= MAX_SWAP_FEE, "too high");
    self.swapFee = newSwapFee;

    emit NewSwapFee(self.key, newSwapFee);
  }

  /**
   * @notice Check if this stableswap pool exists and is valid (i.e. has been
   * initialized and tokens have been added).
   * @return bool true if this stableswap pool is valid, false if not.
   */
  function exists(Swap storage self) internal view returns (bool) {
    return self.pooledTokens.length != 0;
  }
}

// File: @connext/nxtp-contracts/contracts/core/connext/interfaces/IStableSwap.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

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

interface IStableSwap {
  /*** EVENTS ***/

  // events replicated from SwapUtils to make the ABI easier for dumb
  // clients
  event TokenSwap(address indexed buyer, uint256 tokensSold, uint256 tokensBought, uint128 soldId, uint128 boughtId);
  event AddLiquidity(
    address indexed provider,
    uint256[] tokenAmounts,
    uint256[] fees,
    uint256 invariant,
    uint256 lpTokenSupply
  );
  event RemoveLiquidity(address indexed provider, uint256[] tokenAmounts, uint256 lpTokenSupply);
  event RemoveLiquidityOne(
    address indexed provider,
    uint256 lpTokenAmount,
    uint256 lpTokenSupply,
    uint256 boughtId,
    uint256 tokensBought
  );
  event RemoveLiquidityImbalance(
    address indexed provider,
    uint256[] tokenAmounts,
    uint256[] fees,
    uint256 invariant,
    uint256 lpTokenSupply
  );
  event NewAdminFee(uint256 newAdminFee);
  event NewSwapFee(uint256 newSwapFee);
  event NewWithdrawFee(uint256 newWithdrawFee);
  event RampA(uint256 oldA, uint256 newA, uint256 initialTime, uint256 futureTime);
  event StopRampA(uint256 currentA, uint256 time);

  function swap(
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx,
    uint256 minDy,
    uint256 deadline
  ) external returns (uint256);

  function swapExact(
    uint256 amountIn,
    address assetIn,
    address assetOut,
    uint256 minAmountOut,
    uint256 deadline
  ) external payable returns (uint256);

  function swapExactOut(
    uint256 amountOut,
    address assetIn,
    address assetOut,
    uint256 maxAmountIn,
    uint256 deadline
  ) external payable returns (uint256);

  function getA() external view returns (uint256);

  function getToken(uint8 index) external view returns (IERC20);

  function getTokenIndex(address tokenAddress) external view returns (uint8);

  function getTokenBalance(uint8 index) external view returns (uint256);

  function getVirtualPrice() external view returns (uint256);

  // min return calculation functions
  function calculateSwap(
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dx
  ) external view returns (uint256);

  function calculateSwapOut(
    uint8 tokenIndexFrom,
    uint8 tokenIndexTo,
    uint256 dy
  ) external view returns (uint256);

  function calculateSwapFromAddress(
    address assetIn,
    address assetOut,
    uint256 amountIn
  ) external view returns (uint256);

  function calculateSwapOutFromAddress(
    address assetIn,
    address assetOut,
    uint256 amountOut
  ) external view returns (uint256);

  function calculateTokenAmount(uint256[] calldata amounts, bool deposit) external view returns (uint256);

  function calculateRemoveLiquidity(uint256 amount) external view returns (uint256[] memory);

  function calculateRemoveLiquidityOneToken(uint256 tokenAmount, uint8 tokenIndex)
    external
    view
    returns (uint256 availableTokenAmount);

  // state modifying functions
  function initialize(
    IERC20[] memory pooledTokens,
    uint8[] memory decimals,
    string memory lpTokenName,
    string memory lpTokenSymbol,
    uint256 a,
    uint256 fee,
    uint256 adminFee,
    address lpTokenTargetAddress
  ) external;

  function addLiquidity(
    uint256[] calldata amounts,
    uint256 minToMint,
    uint256 deadline
  ) external returns (uint256);

  function removeLiquidity(
    uint256 amount,
    uint256[] calldata minAmounts,
    uint256 deadline
  ) external returns (uint256[] memory);

  function removeLiquidityOneToken(
    uint256 tokenAmount,
    uint8 tokenIndex,
    uint256 minAmount,
    uint256 deadline
  ) external returns (uint256);

  function removeLiquidityImbalance(
    uint256[] calldata amounts,
    uint256 maxBurnAmount,
    uint256 deadline
  ) external returns (uint256);
}

// File: @connext/nxtp-contracts/contracts/core/connext/interfaces/IDiamondCut.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

/******************************************************************************\
* Author: Nick Mudge <nick@perfectabstractions.com> (https://twitter.com/mudgen)
* EIP-2535 Diamonds: https://eips.ethereum.org/EIPS/eip-2535
/******************************************************************************/

interface IDiamondCut {
  enum FacetCutAction {
    Add,
    Replace,
    Remove
  }
  // Add=0, Replace=1, Remove=2

  struct FacetCut {
    address facetAddress;
    FacetCutAction action;
    bytes4[] functionSelectors;
  }

  /// @notice Propose to add/replace/remove any number of functions and optionally execute
  ///         a function with delegatecall
  /// @param _diamondCut Contains the facet addresses and function selectors
  /// @param _init The address of the contract or facet to execute _calldata
  /// @param _calldata A function call, including function selector and arguments
  ///                  _calldata is executed with delegatecall on _init
  function proposeDiamondCut(
    FacetCut[] calldata _diamondCut,
    address _init,
    bytes calldata _calldata
  ) external;

  event DiamondCutProposed(FacetCut[] _diamondCut, address _init, bytes _calldata, uint256 deadline);

  /// @notice Add/replace/remove any number of functions and optionally execute
  ///         a function with delegatecall
  /// @param _diamondCut Contains the facet addresses and function selectors
  /// @param _init The address of the contract or facet to execute _calldata
  /// @param _calldata A function call, including function selector and arguments
  ///                  _calldata is executed with delegatecall on _init
  function diamondCut(
    FacetCut[] calldata _diamondCut,
    address _init,
    bytes calldata _calldata
  ) external;

  event DiamondCut(FacetCut[] _diamondCut, address _init, bytes _calldata);

  /// @notice Propose to add/replace/remove any number of functions and optionally execute
  ///         a function with delegatecall
  /// @param _diamondCut Contains the facet addresses and function selectors
  /// @param _init The address of the contract or facet to execute _calldata
  /// @param _calldata A function call, including function selector and arguments
  ///                  _calldata is executed with delegatecall on _init
  function rescindDiamondCut(
    FacetCut[] calldata _diamondCut,
    address _init,
    bytes calldata _calldata
  ) external;

  event DiamondCutRescinded(FacetCut[] _diamondCut, address _init, bytes _calldata);
}

// File: @connext/nxtp-contracts/contracts/core/connext/interfaces/IDiamondLoupe.sol



// SPDX-License-Identifier: MIT
pragma solidity 0.8.15;

/******************************************************************************\
* Author: Nick Mudge <nick@perfectabstractions.com> (https://twitter.com/mudgen)
* EIP-2535 Diamonds: https://eips.ethereum.org/EIPS/eip-2535
/******************************************************************************/

// A loupe is a small magnifying glass used to look at diamonds.
// These functions look at diamonds
interface IDiamondLoupe {
  /// These functions are expected to be called frequently
  /// by tools.

  struct Facet {
    address facetAddress;
    bytes4[] functionSelectors;
  }

  /// @notice Gets all facet addresses and their four byte function selectors.
  /// @return facets_ Facet
  function facets() external view returns (Facet[] memory facets_);

  /// @notice Gets all the function selectors supported by a specific facet.
  /// @param _facet The facet address.
  /// @return facetFunctionSelectors_
  function facetFunctionSelectors(address _facet) external view returns (bytes4[] memory facetFunctionSelectors_);

  /// @notice Get all the facet addresses used by a diamond.
  /// @return facetAddresses_
  function facetAddresses() external view returns (address[] memory facetAddresses_);

  /// @notice Gets the facet that supports the given selector.
  /// @dev If facet is not found return address(0).
  /// @param _functionSelector The function selector.
  /// @return facetAddress_ The facet address.
  function facetAddress(bytes4 _functionSelector) external view returns (address facetAddress_);
}

// File: @openzeppelin/contracts/utils/Address.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library Address {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCall(target, data, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");

        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");

        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionDelegateCall(target, data, "Address: low-level delegate call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a delegate call.
     *
     * _Available since v3.4._
     */
    function functionDelegateCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(isContract(target), "Address: delegate call to non-contract");

        (bool success, bytes memory returndata) = target.delegatecall(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                /// @solidity memory-safe-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}

// File: @openzeppelin/contracts/token/ERC20/IERC20.sol



// 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);
}

// File: @openzeppelin/contracts/token/ERC20/extensions/draft-IERC20Permit.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol)

pragma solidity ^0.8.0;

/**
 * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in
 * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612].
 *
 * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by
 * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't
 * need to send a transaction, and thus is not required to hold Ether at all.
 */
interface IERC20Permit {
    /**
     * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens,
     * given ``owner``'s signed approval.
     *
     * IMPORTANT: The same issues {IERC20-approve} has related to transaction
     * ordering also apply here.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `deadline` must be a timestamp in the future.
     * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner`
     * over the EIP712-formatted function arguments.
     * - the signature must use ``owner``'s current nonce (see {nonces}).
     *
     * For more information on the signature format, see the
     * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP
     * section].
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) external;

    /**
     * @dev Returns the current nonce for `owner`. This value must be
     * included whenever a signature is generated for {permit}.
     *
     * Every successful call to {permit} increases ``owner``'s nonce by one. This
     * prevents a signature from being used multiple times.
     */
    function nonces(address owner) external view returns (uint256);

    /**
     * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view returns (bytes32);
}

// File: @connext/nxtp-contracts/contracts/messaging/interfaces/IConnectorManager.sol



// SPDX-License-Identifier: MIT OR Apache-2.0
pragma solidity 0.8.15;

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

/**
 * @notice Each router extends the `XAppConnectionClient` contract. This contract
 * allows an admin to call `setXAppConnectionManager` to update the underlying
 * pointers to the messaging inboxes (Replicas) and outboxes (Homes).
 *
 * @dev This interface only contains the functions needed for the `XAppConnectionClient`
 * will interface with.
 */
interface IConnectorManager {
  /**
   * @notice Get the local inbox contract from the xAppConnectionManager
   * @return The local inbox contract
   * @dev The local inbox contract is a SpokeConnector with AMBs, and a
   * Home contract with nomad
   */
  function home() external view returns (IOutbox);

  /**
   * @notice Determine whether _potentialReplica is an enrolled Replica from the xAppConnectionManager
   * @return True if _potentialReplica is an enrolled Replica
   */
  function isReplica(address _potentialReplica) external view returns (bool);

  /**
   * @notice Get the local domain from the xAppConnectionManager
   * @return The local domain
   */
  function localDomain() external view returns (uint32);
}

// File: @connext/nxtp-contracts/contracts/messaging/interfaces/IOutbox.sol



// SPDX-License-Identifier: MIT OR Apache-2.0
pragma solidity 0.8.15;

/**
 * @notice Interface for all contracts sending messages originating on their
 * current domain.
 *
 * @dev These are the Home.sol interface methods used by the `Router`
 * and exposed via `home()` on the `XAppConnectionClient`
 */
interface IOutbox {
  /**
   * @notice Emitted when a new message is added to an outbound message merkle root
   * @param leafIndex Index of message's leaf in merkle tree
   * @param destinationAndNonce Destination and destination-specific
   * nonce combined in single field ((destination << 32) & nonce)
   * @param messageHash Hash of message; the leaf inserted to the Merkle tree for the message
   * @param committedRoot the latest notarized root submitted in the last signed Update
   * @param message Raw bytes of message
   */
  event Dispatch(
    bytes32 indexed messageHash,
    uint256 indexed leafIndex,
    uint64 indexed destinationAndNonce,
    bytes32 committedRoot,
    bytes message
  );

  /**
   * @notice Dispatch the message it to the destination domain & recipient
   * @dev Format the message, insert its hash into Merkle tree,
   * enqueue the new Merkle root, and emit `Dispatch` event with message information.
   * @param _destinationDomain Domain of destination chain
   * @param _recipientAddress Address of recipient on destination chain as bytes32
   * @param _messageBody Raw bytes content of message
   * @return bytes32 The leaf added to the tree
   */
  function dispatch(
    uint32 _destinationDomain,
    bytes32 _recipientAddress,
    bytes memory _messageBody
  ) external returns (bytes32);
}

// File: @connext/nxtp-contracts/contracts/core/connext/helpers/LPToken.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

import {ERC20Upgradeable} from "@openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20BurnableUpgradeable.sol";
import {OwnableUpgradeable} from "@openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol";

/**
 * @title Liquidity Provider Token
 * @notice This token is an ERC20 detailed token with added capability to be minted by the owner.
 * It is used to represent user's shares when providing liquidity to swap contracts.
 * @dev Only Swap contracts should initialize and own LPToken contracts.
 */
contract LPToken is ERC20Upgradeable, OwnableUpgradeable {
  // ============ Upgrade Gap ============

  uint256[49] private __GAP; // gap for upgrade safety

  // ============ Storage ============

  /**
   * @notice Used to enforce proper token dilution
   * @dev If this is the first mint of the LP token, this amount of funds are burned.
   * See audit recommendations here:
   * - https://github.com/code-423n4/2022-03-prepo-findings/issues/27
   * - https://github.com/code-423n4/2022-04-jpegd-findings/issues/12
   * and uniswap v2 implementation here:
   * https://github.com/Uniswap/v2-core/blob/8b82b04a0b9e696c0e83f8b2f00e5d7be6888c79/contracts/UniswapV2Pair.sol#L15
   */
  uint256 public constant MINIMUM_LIQUIDITY = 10**3;

  // ============ Initializer ============

  /**
   * @notice Initializes this LPToken contract with the given name and symbol
   * @dev The caller of this function will become the owner. A Swap contract should call this
   * in its initializer function.
   * @param name name of this token
   * @param symbol symbol of this token
   */
  function initialize(string memory name, string memory symbol) external initializer returns (bool) {
    __Context_init_unchained();
    __ERC20_init_unchained(name, symbol);
    __Ownable_init_unchained();
    return true;
  }

  // ============ External functions ============

  /**
   * @notice Mints the given amount of LPToken to the recipient.
   * @dev only owner can call this mint function
   * @param recipient address of account to receive the tokens
   * @param amount amount of tokens to mint
   */
  function mint(address recipient, uint256 amount) external onlyOwner {
    require(amount != 0, "LPToken: cannot mint 0");
    if (totalSupply() == 0) {
      // NOTE: using the _mint function directly will error because it is going
      // to the 0 address. fix by using the address(1) here instead
      _mint(address(1), MINIMUM_LIQUIDITY);
    }
    _mint(recipient, amount);
  }

  /**
   * @notice Burns the given amount of LPToken from provided account
   * @dev only owner can call this burn function
   * @param account address of account from which to burn token
   * @param amount amount of tokens to mint
   */
  function burnFrom(address account, uint256 amount) external onlyOwner {
    require(amount != 0, "LPToken: cannot burn 0");
    _burn(account, amount);
  }

  // ============ Internal functions ============

  /**
   * @dev Overrides ERC20._beforeTokenTransfer() which get called on every transfers including
   * minting and burning. This ensures that Swap.updateUserWithdrawFees are called everytime.
   * This assumes the owner is set to a Swap contract's address.
   */
  function _beforeTokenTransfer(
    address from,
    address to,
    uint256 amount
  ) internal virtual override(ERC20Upgradeable) {
    super._beforeTokenTransfer(from, to, amount);
    require(to != address(this), "LPToken: cannot send to itself");
  }
}

// File: @connext/nxtp-contracts/contracts/core/connext/libraries/AmplificationUtils.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

import {SafeERC20} from "@openzeppelin/contracts/token/ERC20/utils/SafeERC20.sol";

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

/**
 * @title AmplificationUtils library
 * @notice A library to calculate and ramp the A parameter of a given `SwapUtils.Swap` struct.
 * This library assumes the struct is fully validated.
 */
library AmplificationUtils {
  event RampA(uint256 oldA, uint256 newA, uint256 initialTime, uint256 futureTime);
  event StopRampA(uint256 currentA, uint256 time);

  // Constant values used in ramping A calculations
  uint256 public constant A_PRECISION = 100;
  uint256 public constant MAX_A = 10**6;
  uint256 private constant MAX_A_CHANGE = 2;
  uint256 private constant MIN_RAMP_TIME = 14 days;

  /**
   * @notice Return A, the amplification coefficient * n * (n - 1)
   * @dev See the StableSwap paper for details
   * @param self Swap struct to read from
   * @return A parameter
   */
  function getA(SwapUtils.Swap storage self) internal view returns (uint256) {
    return _getAPrecise(self) / A_PRECISION;
  }

  /**
   * @notice Return A in its raw precision
   * @dev See the StableSwap paper for details
   * @param self Swap struct to read from
   * @return A parameter in its raw precision form
   */
  function getAPrecise(SwapUtils.Swap storage self) internal view returns (uint256) {
    return _getAPrecise(self);
  }

  /**
   * @notice Return A in its raw precision
   * @dev See the StableSwap paper for details
   * @param self Swap struct to read from
   * @return A parameter in its raw precision form
   */
  function _getAPrecise(SwapUtils.Swap storage self) internal view returns (uint256) {
    uint256 t1 = self.futureATime; // time when ramp is finished
    uint256 a1 = self.futureA; // final A value when ramp is finished

    if (block.timestamp < t1) {
      uint256 t0 = self.initialATime; // time when ramp is started
      uint256 a0 = self.initialA; // initial A value when ramp is started
      if (a1 > a0) {
        // a0 + (a1 - a0) * (block.timestamp - t0) / (t1 - t0)
        return a0 + ((a1 - a0) * (block.timestamp - t0)) / (t1 - t0);
      } else {
        // a0 - (a0 - a1) * (block.timestamp - t0) / (t1 - t0)
        return a0 - ((a0 - a1) * (block.timestamp - t0)) / (t1 - t0);
      }
    } else {
      return a1;
    }
  }

  /**
   * @notice Start ramping up or down A parameter towards given futureA_ and futureTime_
   * Checks if the change is too rapid, and commits the new A value only when it falls under
   * the limit range.
   * @param self Swap struct to update
   * @param futureA_ the new A to ramp towards
   * @param futureTime_ timestamp when the new A should be reached
   */
  function rampA(
    SwapUtils.Swap storage self,
    uint256 futureA_,
    uint256 futureTime_
  ) internal {
    require(block.timestamp >= self.initialATime + 1 days, "Wait 1 day before starting ramp");
    require(futureTime_ >= block.timestamp + MIN_RAMP_TIME, "Insufficient ramp time");
    require(futureA_ != 0 && futureA_ < MAX_A, "futureA_ must be > 0 and < MAX_A");

    uint256 initialAPrecise = _getAPrecise(self);
    uint256 futureAPrecise = futureA_ * A_PRECISION;

    if (futureAPrecise < initialAPrecise) {
      require(futureAPrecise * MAX_A_CHANGE >= initialAPrecise, "futureA_ is too small");
    } else {
      require(futureAPrecise <= initialAPrecise * MAX_A_CHANGE, "futureA_ is too large");
    }

    self.initialA = initialAPrecise;
    self.futureA = futureAPrecise;
    self.initialATime = block.timestamp;
    self.futureATime = futureTime_;

    emit RampA(initialAPrecise, futureAPrecise, block.timestamp, futureTime_);
  }

  /**
   * @notice Stops ramping A immediately. Once this function is called, rampA()
   * cannot be called for another 24 hours
   * @param self Swap struct to update
   */
  function stopRampA(SwapUtils.Swap storage self) internal {
    require(self.futureATime > block.timestamp, "Ramp is already stopped");

    uint256 currentA = _getAPrecise(self);
    self.initialA = currentA;
    self.futureA = currentA;
    self.initialATime = block.timestamp;
    self.futureATime = block.timestamp;

    emit StopRampA(currentA, block.timestamp);
  }
}

// File: @connext/nxtp-contracts/contracts/core/connext/libraries/MathUtils.sol



// SPDX-License-Identifier: UNLICENSED
pragma solidity 0.8.15;

/**
 * @title MathUtils library
 * @notice A library to be used in conjunction with SafeMath. Contains functions for calculating
 * differences between two uint256.
 */
library MathUtils {
  /**
   * @notice Compares a and b and returns true if the difference between a and b
   *         is less than 1 or equal to each other.
   * @param a uint256 to compare with
   * @param b uint256 to compare with
   * @return True if the difference between a and b is less than 1 or equal,
   *         otherwise return false
   */
  function within1(uint256 a, uint256 b) internal pure returns (bool) {
    return (difference(a, b) <= 1);
  }

  /**
   * @notice Calculates absolute difference between a and b
   * @param a uint256 to compare with
   * @param b uint256 to compare with
   * @return Difference between a and b
   */
  function difference(uint256 a, uint256 b) internal pure returns (uint256) {
    if (a > b) {
      return a - b;
    }
    return b - a;
  }
}

// File: @openzeppelin/contracts-upgradeable/access/OwnableUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (access/Ownable.sol)

pragma solidity ^0.8.0;

import "../utils/ContextUpgradeable.sol";
import "../proxy/utils/Initializable.sol";

/**
 * @dev Contract module which provides a basic access control mechanism, where
 * there is an account (an owner) that can be granted exclusive access to
 * specific functions.
 *
 * By default, the owner account will be the one that deploys the contract. This
 * can later be changed with {transferOwnership}.
 *
 * This module is used through inheritance. It will make available the modifier
 * `onlyOwner`, which can be applied to your functions to restrict their use to
 * the owner.
 */
abstract contract OwnableUpgradeable is Initializable, ContextUpgradeable {
    address private _owner;

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

    /**
     * @dev Initializes the contract setting the deployer as the initial owner.
     */
    function __Ownable_init() internal onlyInitializing {
        __Ownable_init_unchained();
    }

    function __Ownable_init_unchained() internal onlyInitializing {
        _transferOwnership(_msgSender());
    }

    /**
     * @dev Throws if called by any account other than the owner.
     */
    modifier onlyOwner() {
        _checkOwner();
        _;
    }

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

    /**
     * @dev Throws if the sender is not the owner.
     */
    function _checkOwner() internal view virtual {
        require(owner() == _msgSender(), "Ownable: caller is not the owner");
    }

    /**
     * @dev Leaves the contract without owner. It will not be possible to call
     * `onlyOwner` functions anymore. Can only be called by the current owner.
     *
     * NOTE: Renouncing ownership will leave the contract without an owner,
     * thereby removing any functionality that is only available to the owner.
     */
    function renounceOwnership() public virtual onlyOwner {
        _transferOwnership(address(0));
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Can only be called by the current owner.
     */
    function transferOwnership(address newOwner) public virtual onlyOwner {
        require(newOwner != address(0), "Ownable: new owner is the zero address");
        _transferOwnership(newOwner);
    }

    /**
     * @dev Transfers ownership of the contract to a new account (`newOwner`).
     * Internal function without access restriction.
     */
    function _transferOwnership(address newOwner) internal virtual {
        address oldOwner = _owner;
        _owner = newOwner;
        emit OwnershipTransferred(oldOwner, newOwner);
    }

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

// File: @openzeppelin/contracts-upgradeable/token/ERC20/extensions/ERC20BurnableUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.5.0) (token/ERC20/extensions/ERC20Burnable.sol)

pragma solidity ^0.8.0;

import "../ERC20Upgradeable.sol";
import "../../../utils/ContextUpgradeable.sol";
import "../../../proxy/utils/Initializable.sol";

/**
 * @dev Extension of {ERC20} that allows token holders to destroy both their own
 * tokens and those that they have an allowance for, in a way that can be
 * recognized off-chain (via event analysis).
 */
abstract contract ERC20BurnableUpgradeable is Initializable, ContextUpgradeable, ERC20Upgradeable {
    function __ERC20Burnable_init() internal onlyInitializing {
    }

    function __ERC20Burnable_init_unchained() internal onlyInitializing {
    }
    /**
     * @dev Destroys `amount` tokens from the caller.
     *
     * See {ERC20-_burn}.
     */
    function burn(uint256 amount) public virtual {
        _burn(_msgSender(), amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, deducting from the caller's
     * allowance.
     *
     * See {ERC20-_burn} and {ERC20-allowance}.
     *
     * Requirements:
     *
     * - the caller must have allowance for ``accounts``'s tokens of at least
     * `amount`.
     */
    function burnFrom(address account, uint256 amount) public virtual {
        _spendAllowance(account, _msgSender(), amount);
        _burn(account, amount);
    }

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

// File: @openzeppelin/contracts-upgradeable/utils/ContextUpgradeable.sol



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

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

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/proxy/utils/Initializable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (proxy/utils/Initializable.sol)

pragma solidity ^0.8.2;

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

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

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

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

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

    /**
     * @dev A modifier that defines a protected reinitializer function that can be invoked at most once, and only if the
     * contract hasn't been initialized to a greater version before. In its scope, `onlyInitializing` functions can be
     * used to initialize parent contracts.
     *
     * `initializer` is equivalent to `reinitializer(1)`, so a reinitializer may be used after the original
     * initialization step. This is essential to configure modules that are added through upgrades and that require
     * initialization.
     *
     * Note that versions can jump in increments greater than 1; this implies that if multiple reinitializers coexist in
     * a contract, executing them in the right order is up to the developer or operator.
     */
    modifier reinitializer(uint8 version) {
        require(!_initializing && _initialized < version, "Initializable: contract is already initialized");
        _initialized = version;
        _initializing = true;
        _;
        _initializing = false;
        emit Initialized(version);
    }

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

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

// File: @openzeppelin/contracts-upgradeable/utils/AddressUpgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/Address.sol)

pragma solidity ^0.8.1;

/**
 * @dev Collection of functions related to the address type
 */
library AddressUpgradeable {
    /**
     * @dev Returns true if `account` is a contract.
     *
     * [IMPORTANT]
     * ====
     * It is unsafe to assume that an address for which this function returns
     * false is an externally-owned account (EOA) and not a contract.
     *
     * Among others, `isContract` will return false for the following
     * types of addresses:
     *
     *  - an externally-owned account
     *  - a contract in construction
     *  - an address where a contract will be created
     *  - an address where a contract lived, but was destroyed
     * ====
     *
     * [IMPORTANT]
     * ====
     * You shouldn't rely on `isContract` to protect against flash loan attacks!
     *
     * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets
     * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract
     * constructor.
     * ====
     */
    function isContract(address account) internal view returns (bool) {
        // This method relies on extcodesize/address.code.length, which returns 0
        // for contracts in construction, since the code is only stored at the end
        // of the constructor execution.

        return account.code.length > 0;
    }

    /**
     * @dev Replacement for Solidity's `transfer`: sends `amount` wei to
     * `recipient`, forwarding all available gas and reverting on errors.
     *
     * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost
     * of certain opcodes, possibly making contracts go over the 2300 gas limit
     * imposed by `transfer`, making them unable to receive funds via
     * `transfer`. {sendValue} removes this limitation.
     *
     * https://diligence.consensys.net/posts/2019/09/stop-using-soliditys-transfer-now/[Learn more].
     *
     * IMPORTANT: because control is transferred to `recipient`, care must be
     * taken to not create reentrancy vulnerabilities. Consider using
     * {ReentrancyGuard} or the
     * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern].
     */
    function sendValue(address payable recipient, uint256 amount) internal {
        require(address(this).balance >= amount, "Address: insufficient balance");

        (bool success, ) = recipient.call{value: amount}("");
        require(success, "Address: unable to send value, recipient may have reverted");
    }

    /**
     * @dev Performs a Solidity function call using a low level `call`. A
     * plain `call` is an unsafe replacement for a function call: use this
     * function instead.
     *
     * If `target` reverts with a revert reason, it is bubbled up by this
     * function (like regular Solidity function calls).
     *
     * Returns the raw returned data. To convert to the expected return value,
     * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`].
     *
     * Requirements:
     *
     * - `target` must be a contract.
     * - calling `target` with `data` must not revert.
     *
     * _Available since v3.1._
     */
    function functionCall(address target, bytes memory data) internal returns (bytes memory) {
        return functionCall(target, data, "Address: low-level call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with
     * `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, 0, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but also transferring `value` wei to `target`.
     *
     * Requirements:
     *
     * - the calling contract must have an ETH balance of at least `value`.
     * - the called Solidity function must be `payable`.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value
    ) internal returns (bytes memory) {
        return functionCallWithValue(target, data, value, "Address: low-level call with value failed");
    }

    /**
     * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but
     * with `errorMessage` as a fallback revert reason when `target` reverts.
     *
     * _Available since v3.1._
     */
    function functionCallWithValue(
        address target,
        bytes memory data,
        uint256 value,
        string memory errorMessage
    ) internal returns (bytes memory) {
        require(address(this).balance >= value, "Address: insufficient balance for call");
        require(isContract(target), "Address: call to non-contract");

        (bool success, bytes memory returndata) = target.call{value: value}(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) {
        return functionStaticCall(target, data, "Address: low-level static call failed");
    }

    /**
     * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`],
     * but performing a static call.
     *
     * _Available since v3.3._
     */
    function functionStaticCall(
        address target,
        bytes memory data,
        string memory errorMessage
    ) internal view returns (bytes memory) {
        require(isContract(target), "Address: static call to non-contract");

        (bool success, bytes memory returndata) = target.staticcall(data);
        return verifyCallResult(success, returndata, errorMessage);
    }

    /**
     * @dev Tool to verifies that a low level call was successful, and revert if it wasn't, either by bubbling the
     * revert reason using the provided one.
     *
     * _Available since v4.3._
     */
    function verifyCallResult(
        bool success,
        bytes memory returndata,
        string memory errorMessage
    ) internal pure returns (bytes memory) {
        if (success) {
            return returndata;
        } else {
            // Look for revert reason and bubble it up if present
            if (returndata.length > 0) {
                // The easiest way to bubble the revert reason is using memory via assembly
                /// @solidity memory-safe-assembly
                assembly {
                    let returndata_size := mload(returndata)
                    revert(add(32, returndata), returndata_size)
                }
            } else {
                revert(errorMessage);
            }
        }
    }
}

// File: @openzeppelin/contracts-upgradeable/token/ERC20/ERC20Upgradeable.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/ERC20.sol)

pragma solidity ^0.8.0;

import "./IERC20Upgradeable.sol";
import "./extensions/IERC20MetadataUpgradeable.sol";
import "../../utils/ContextUpgradeable.sol";
import "../../proxy/utils/Initializable.sol";

/**
 * @dev Implementation of the {IERC20} interface.
 *
 * This implementation is agnostic to the way tokens are created. This means
 * that a supply mechanism has to be added in a derived contract using {_mint}.
 * For a generic mechanism see {ERC20PresetMinterPauser}.
 *
 * TIP: For a detailed writeup see our guide
 * https://forum.zeppelin.solutions/t/how-to-implement-erc20-supply-mechanisms/226[How
 * to implement supply mechanisms].
 *
 * We have followed general OpenZeppelin Contracts guidelines: functions revert
 * instead returning `false` on failure. This behavior is nonetheless
 * conventional and does not conflict with the expectations of ERC20
 * applications.
 *
 * Additionally, an {Approval} event is emitted on calls to {transferFrom}.
 * This allows applications to reconstruct the allowance for all accounts just
 * by listening to said events. Other implementations of the EIP may not emit
 * these events, as it isn't required by the specification.
 *
 * Finally, the non-standard {decreaseAllowance} and {increaseAllowance}
 * functions have been added to mitigate the well-known issues around setting
 * allowances. See {IERC20-approve}.
 */
contract ERC20Upgradeable is Initializable, ContextUpgradeable, IERC20Upgradeable, IERC20MetadataUpgradeable {
    mapping(address => uint256) private _balances;

    mapping(address => mapping(address => uint256)) private _allowances;

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    /**
     * @dev Sets the values for {name} and {symbol}.
     *
     * The default value of {decimals} is 18. To select a different value for
     * {decimals} you should overload it.
     *
     * All two of these values are immutable: they can only be set once during
     * construction.
     */
    function __ERC20_init(string memory name_, string memory symbol_) internal onlyInitializing {
        __ERC20_init_unchained(name_, symbol_);
    }

    function __ERC20_init_unchained(string memory name_, string memory symbol_) internal onlyInitializing {
        _name = name_;
        _symbol = symbol_;
    }

    /**
     * @dev Returns the name of the token.
     */
    function name() public view virtual override returns (string memory) {
        return _name;
    }

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

    /**
     * @dev Returns the number of decimals used to get its user representation.
     * For example, if `decimals` equals `2`, a balance of `505` tokens should
     * be displayed to a user as `5.05` (`505 / 10 ** 2`).
     *
     * Tokens usually opt for a value of 18, imitating the relationship between
     * Ether and Wei. This is the value {ERC20} uses, unless this function is
     * overridden;
     *
     * NOTE: This information is only used for _display_ purposes: it in
     * no way affects any of the arithmetic of the contract, including
     * {IERC20-balanceOf} and {IERC20-transfer}.
     */
    function decimals() public view virtual override returns (uint8) {
        return 18;
    }

    /**
     * @dev See {IERC20-totalSupply}.
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view virtual override returns (uint256) {
        return _balances[account];
    }

    /**
     * @dev See {IERC20-transfer}.
     *
     * Requirements:
     *
     * - `to` cannot be the zero address.
     * - the caller must have a balance of at least `amount`.
     */
    function transfer(address to, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _transfer(owner, to, amount);
        return true;
    }

    /**
     * @dev See {IERC20-allowance}.
     */
    function allowance(address owner, address spender) public view virtual override returns (uint256) {
        return _allowances[owner][spender];
    }

    /**
     * @dev See {IERC20-approve}.
     *
     * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on
     * `transferFrom`. This is semantically equivalent to an infinite approval.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function approve(address spender, uint256 amount) public virtual override returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, amount);
        return true;
    }

    /**
     * @dev See {IERC20-transferFrom}.
     *
     * Emits an {Approval} event indicating the updated allowance. This is not
     * required by the EIP. See the note at the beginning of {ERC20}.
     *
     * NOTE: Does not update the allowance if the current allowance
     * is the maximum `uint256`.
     *
     * Requirements:
     *
     * - `from` and `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     * - the caller must have allowance for ``from``'s tokens of at least
     * `amount`.
     */
    function transferFrom(
        address from,
        address to,
        uint256 amount
    ) public virtual override returns (bool) {
        address spender = _msgSender();
        _spendAllowance(from, spender, amount);
        _transfer(from, to, amount);
        return true;
    }

    /**
     * @dev Atomically increases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     */
    function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) {
        address owner = _msgSender();
        _approve(owner, spender, allowance(owner, spender) + addedValue);
        return true;
    }

    /**
     * @dev Atomically decreases the allowance granted to `spender` by the caller.
     *
     * This is an alternative to {approve} that can be used as a mitigation for
     * problems described in {IERC20-approve}.
     *
     * Emits an {Approval} event indicating the updated allowance.
     *
     * Requirements:
     *
     * - `spender` cannot be the zero address.
     * - `spender` must have allowance for the caller of at least
     * `subtractedValue`.
     */
    function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) {
        address owner = _msgSender();
        uint256 currentAllowance = allowance(owner, spender);
        require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
        unchecked {
            _approve(owner, spender, currentAllowance - subtractedValue);
        }

        return true;
    }

    /**
     * @dev Moves `amount` of tokens from `from` to `to`.
     *
     * This internal function is equivalent to {transfer}, and can be used to
     * e.g. implement automatic token fees, slashing mechanisms, etc.
     *
     * Emits a {Transfer} event.
     *
     * Requirements:
     *
     * - `from` cannot be the zero address.
     * - `to` cannot be the zero address.
     * - `from` must have a balance of at least `amount`.
     */
    function _transfer(
        address from,
        address to,
        uint256 amount
    ) internal virtual {
        require(from != address(0), "ERC20: transfer from the zero address");
        require(to != address(0), "ERC20: transfer to the zero address");

        _beforeTokenTransfer(from, to, amount);

        uint256 fromBalance = _balances[from];
        require(fromBalance >= amount, "ERC20: transfer amount exceeds balance");
        unchecked {
            _balances[from] = fromBalance - amount;
        }
        _balances[to] += amount;

        emit Transfer(from, to, amount);

        _afterTokenTransfer(from, to, amount);
    }

    /** @dev Creates `amount` tokens and assigns them to `account`, increasing
     * the total supply.
     *
     * Emits a {Transfer} event with `from` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: mint to the zero address");

        _beforeTokenTransfer(address(0), account, amount);

        _totalSupply += amount;
        _balances[account] += amount;
        emit Transfer(address(0), account, amount);

        _afterTokenTransfer(address(0), account, amount);
    }

    /**
     * @dev Destroys `amount` tokens from `account`, reducing the
     * total supply.
     *
     * Emits a {Transfer} event with `to` set to the zero address.
     *
     * Requirements:
     *
     * - `account` cannot be the zero address.
     * - `account` must have at least `amount` tokens.
     */
    function _burn(address account, uint256 amount) internal virtual {
        require(account != address(0), "ERC20: burn from the zero address");

        _beforeTokenTransfer(account, address(0), amount);

        uint256 accountBalance = _balances[account];
        require(accountBalance >= amount, "ERC20: burn amount exceeds balance");
        unchecked {
            _balances[account] = accountBalance - amount;
        }
        _totalSupply -= amount;

        emit Transfer(account, address(0), amount);

        _afterTokenTransfer(account, address(0), amount);
    }

    /**
     * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens.
     *
     * This internal function is equivalent to `approve`, and can be used to
     * e.g. set automatic allowances for certain subsystems, etc.
     *
     * Emits an {Approval} event.
     *
     * Requirements:
     *
     * - `owner` cannot be the zero address.
     * - `spender` cannot be the zero address.
     */
    function _approve(
        address owner,
        address spender,
        uint256 amount
    ) internal virtual {
        require(owner != address(0), "ERC20: approve from the zero address");
        require(spender != address(0), "ERC20: approve to the zero address");

        _allowances[owner][spender] = amount;
        emit Approval(owner, spender, amount);
    }

    /**
     * @dev Updates `owner` s allowance for `spender` based on spent `amount`.
     *
     * Does not update the allowance amount in case of infinite allowance.
     * Revert if not enough allowance is available.
     *
     * Might emit an {Approval} event.
     */
    function _spendAllowance(
        address owner,
        address spender,
        uint256 amount
    ) internal virtual {
        uint256 currentAllowance = allowance(owner, spender);
        if (currentAllowance != type(uint256).max) {
            require(currentAllowance >= amount, "ERC20: insufficient allowance");
            unchecked {
                _approve(owner, spender, currentAllowance - amount);
            }
        }
    }

    /**
     * @dev Hook that is called before any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * will be transferred to `to`.
     * - when `from` is zero, `amount` tokens will be minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens will be burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _beforeTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal virtual {}

    /**
     * @dev Hook that is called after any transfer of tokens. This includes
     * minting and burning.
     *
     * Calling conditions:
     *
     * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens
     * has been transferred to `to`.
     * - when `from` is zero, `amount` tokens have been minted for `to`.
     * - when `to` is zero, `amount` of ``from``'s tokens have been burned.
     * - `from` and `to` are never both zero.
     *
     * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks].
     */
    function _afterTokenTransfer(
        address from,
        address to,
        uint256 amount
    ) internal virtual {}

    /**
     * @dev This empty reserved space is put in place to allow future versions to add new
     * variables without shifting down storage in the inheritance chain.
     * See https://docs.openzeppelin.com/contracts/4.x/upgradeable#storage_gaps
     */
    uint256[45] private __gap;
}

// File: @openzeppelin/contracts-upgradeable/token/ERC20/IERC20Upgradeable.sol



// 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 IERC20Upgradeable {
    /**
     * @dev Emitted when `value` tokens are moved from one account (`from`) to
     * another (`to`).
     *
     * Note that `value` may be zero.
     */
    event Transfer(address indexed from, address indexed to, uint256 value);

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

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

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

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

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

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

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

// File: @openzeppelin/contracts-upgradeable/token/ERC20/extensions/IERC20MetadataUpgradeable.sol



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

pragma solidity ^0.8.0;

import "../IERC20Upgradeable.sol";

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

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

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

// File: solidity/contracts/peripherals/Governable.sol



//SPDX-License-Identifier: MIT
pragma solidity >=0.8.8 <0.9.0;

import {IGovernable} from '../../interfaces/peripherals/IGovernable.sol';

abstract contract Governable is IGovernable {
  /// @inheritdoc IGovernable
  address public governor;

  /// @inheritdoc IGovernable
  address public pendingGovernor;

  constructor(address _governor) {
    if (_governor == address(0)) revert ZeroAddress();
    governor = _governor;
  }

  /// @inheritdoc IGovernable
  function setPendingGovernor(address _pendingGovernor) external onlyGovernor {
    _setPendingGovernor(_pendingGovernor);
  }

  /// @inheritdoc IGovernable
  function acceptPendingGovernor() external onlyPendingGovernor {
    _acceptPendingGovernor();
  }

  function _setPendingGovernor(address _pendingGovernor) internal {
    if (_pendingGovernor == address(0)) revert ZeroAddress();
    pendingGovernor = _pendingGovernor;
    emit PendingGovernorSet(governor, pendingGovernor);
  }

  function _acceptPendingGovernor() internal {
    governor = pendingGovernor;
    pendingGovernor = address(0);
    emit PendingGovernorAccepted(governor);
  }

  modifier onlyGovernor() {
    if (msg.sender != governor) revert OnlyGovernor();
    _;
  }

  modifier onlyPendingGovernor() {
    if (msg.sender != pendingGovernor) revert OnlyPendingGovernor();
    _;
  }
}

// File: @openzeppelin/contracts/utils/structs/EnumerableSet.sol



// SPDX-License-Identifier: MIT
// OpenZeppelin Contracts (last updated v4.7.0) (utils/structs/EnumerableSet.sol)

pragma solidity ^0.8.0;

/**
 * @dev Library for managing
 * https://en.wikipedia.org/wiki/Set_(abstract_data_type)[sets] of primitive
 * types.
 *
 * Sets have the following properties:
 *
 * - Elements are added, removed, and checked for existence in constant time
 * (O(1)).
 * - Elements are enumerated in O(n). No guarantees are made on the ordering.
 *
 * ```
 * contract Example {
 *     // Add the library methods
 *     using EnumerableSet for EnumerableSet.AddressSet;
 *
 *     // Declare a set state variable
 *     EnumerableSet.AddressSet private mySet;
 * }
 * ```
 *
 * As of v3.3.0, sets of type `bytes32` (`Bytes32Set`), `address` (`AddressSet`)
 * and `uint256` (`UintSet`) are supported.
 *
 * [WARNING]
 * ====
 *  Trying to delete such a structure from storage will likely result in data corruption, rendering the structure unusable.
 *  See https://github.com/ethereum/solidity/pull/11843[ethereum/solidity#11843] for more info.
 *
 *  In order to clean an EnumerableSet, you can either remove all elements one by one or create a fresh instance using an array of EnumerableSet.
 * ====
 */
library EnumerableSet {
    // To implement this library for multiple types with as little code
    // repetition as possible, we write it in terms of a generic Set type with
    // bytes32 values.
    // The Set implementation uses private functions, and user-facing
    // implementations (such as AddressSet) are just wrappers around the
    // underlying Set.
    // This means that we can only create new EnumerableSets for types that fit
    // in bytes32.

    struct Set {
        // Storage of set values
        bytes32[] _values;
        // Position of the value in the `values` array, plus 1 because index 0
        // means a value is not in the set.
        mapping(bytes32 => uint256) _indexes;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function _add(Set storage set, bytes32 value) private returns (bool) {
        if (!_contains(set, value)) {
            set._values.push(value);
            // The value is stored at length-1, but we add 1 to all indexes
            // and use 0 as a sentinel value
            set._indexes[value] = set._values.length;
            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function _remove(Set storage set, bytes32 value) private returns (bool) {
        // We read and store the value's index to prevent multiple reads from the same storage slot
        uint256 valueIndex = set._indexes[value];

        if (valueIndex != 0) {
            // Equivalent to contains(set, value)
            // To delete an element from the _values array in O(1), we swap the element to delete with the last one in
            // the array, and then remove the last element (sometimes called as 'swap and pop').
            // This modifies the order of the array, as noted in {at}.

            uint256 toDeleteIndex = valueIndex - 1;
            uint256 lastIndex = set._values.length - 1;

            if (lastIndex != toDeleteIndex) {
                bytes32 lastValue = set._values[lastIndex];

                // Move the last value to the index where the value to delete is
                set._values[toDeleteIndex] = lastValue;
                // Update the index for the moved value
                set._indexes[lastValue] = valueIndex; // Replace lastValue's index to valueIndex
            }

            // Delete the slot where the moved value was stored
            set._values.pop();

            // Delete the index for the deleted slot
            delete set._indexes[value];

            return true;
        } else {
            return false;
        }
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function _contains(Set storage set, bytes32 value) private view returns (bool) {
        return set._indexes[value] != 0;
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function _length(Set storage set) private view returns (uint256) {
        return set._values.length;
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function _at(Set storage set, uint256 index) private view returns (bytes32) {
        return set._values[index];
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function _values(Set storage set) private view returns (bytes32[] memory) {
        return set._values;
    }

    // Bytes32Set

    struct Bytes32Set {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _add(set._inner, value);
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(Bytes32Set storage set, bytes32 value) internal returns (bool) {
        return _remove(set._inner, value);
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(Bytes32Set storage set, bytes32 value) internal view returns (bool) {
        return _contains(set._inner, value);
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(Bytes32Set storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(Bytes32Set storage set, uint256 index) internal view returns (bytes32) {
        return _at(set._inner, index);
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(Bytes32Set storage set) internal view returns (bytes32[] memory) {
        return _values(set._inner);
    }

    // AddressSet

    struct AddressSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(AddressSet storage set, address value) internal returns (bool) {
        return _add(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(AddressSet storage set, address value) internal returns (bool) {
        return _remove(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(AddressSet storage set, address value) internal view returns (bool) {
        return _contains(set._inner, bytes32(uint256(uint160(value))));
    }

    /**
     * @dev Returns the number of values in the set. O(1).
     */
    function length(AddressSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(AddressSet storage set, uint256 index) internal view returns (address) {
        return address(uint160(uint256(_at(set._inner, index))));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(AddressSet storage set) internal view returns (address[] memory) {
        bytes32[] memory store = _values(set._inner);
        address[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }

    // UintSet

    struct UintSet {
        Set _inner;
    }

    /**
     * @dev Add a value to a set. O(1).
     *
     * Returns true if the value was added to the set, that is if it was not
     * already present.
     */
    function add(UintSet storage set, uint256 value) internal returns (bool) {
        return _add(set._inner, bytes32(value));
    }

    /**
     * @dev Removes a value from a set. O(1).
     *
     * Returns true if the value was removed from the set, that is if it was
     * present.
     */
    function remove(UintSet storage set, uint256 value) internal returns (bool) {
        return _remove(set._inner, bytes32(value));
    }

    /**
     * @dev Returns true if the value is in the set. O(1).
     */
    function contains(UintSet storage set, uint256 value) internal view returns (bool) {
        return _contains(set._inner, bytes32(value));
    }

    /**
     * @dev Returns the number of values on the set. O(1).
     */
    function length(UintSet storage set) internal view returns (uint256) {
        return _length(set._inner);
    }

    /**
     * @dev Returns the value stored at position `index` in the set. O(1).
     *
     * Note that there are no guarantees on the ordering of values inside the
     * array, and it may change when more values are added or removed.
     *
     * Requirements:
     *
     * - `index` must be strictly less than {length}.
     */
    function at(UintSet storage set, uint256 index) internal view returns (uint256) {
        return uint256(_at(set._inner, index));
    }

    /**
     * @dev Return the entire set in an array
     *
     * WARNING: This operation will copy the entire storage to memory, which can be quite expensive. This is designed
     * to mostly be used by view accessors that are queried without any gas fees. Developers should keep in mind that
     * this function has an unbounded cost, and using it as part of a state-changing function may render the function
     * uncallable if the set grows to a point where copying to memory consumes too much gas to fit in a block.
     */
    function values(UintSet storage set) internal view returns (uint256[] memory) {
        bytes32[] memory store = _values(set._inner);
        uint256[] memory result;

        /// @solidity memory-safe-assembly
        assembly {
            result := store
        }

        return result;
    }
}