ETH Price: $2,523.12 (+0.30%)

Transaction Decoder

Block:
13731547 at Dec-03-2021 04:38:20 AM +UTC
Transaction Fee:
0.021015784448079072 ETH $53.03
Gas Used:
138,408 Gas / 151.839376684 Gwei

Emitted Events:

474 Vault.Swap( poolId=B61BEF0CF17B25542C061ED861F270D5AC88A6B70002000000000000000000D5, tokenIn=FiatTokenProxy, tokenOut=FLX, amountIn=50000000000, amountOut=28574794829674163379941 )
475 FiatTokenProxy.0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef( 0xddf252ad1be2c89b69c2b068fc378daa952ba7f163c4a11628f55a4df523b3ef, 0x000000000000000000000000896b94f4f27f12369698c302e2049cae86936bbb, 0x000000000000000000000000ba12222222228d8ba445958a75a0704d566bf2c8, 0000000000000000000000000000000000000000000000000000000ba43b7400 )
476 FLX.Transfer( from=[Receiver] Vault, to=[Sender] 0x896b94f4f27f12369698c302e2049cae86936bbb, value=28574794829674163379941 )

Account State Difference:

  Address   Before After State Difference Code
0x3Ea8ea42...1A1180770
0x896b94f4...e86936BbB
71.65404959731664933 Eth
Nonce: 3321
71.633033812868570258 Eth
Nonce: 3322
0.021015784448079072
0xA0b86991...E3606eB48
0xBA122222...d566BF2C8
(Balancer: Vault)
(Poolin 4)
749.294187511741472754 Eth749.294464327741472754 Eth0.000276816

Execution Trace

Vault.swap( singleSwap=[{name:poolId, type:bytes32, order:1, indexed:false, value:B61BEF0CF17B25542C061ED861F270D5AC88A6B70002000000000000000000D5, valueString:B61BEF0CF17B25542C061ED861F270D5AC88A6B70002000000000000000000D5}, {name:kind, type:uint8, order:2, indexed:false, value:0, valueString:0}, {name:assetIn, type:address, order:3, indexed:false, value:0xA0b86991c6218b36c1d19D4a2e9Eb0cE3606eB48, valueString:0xA0b86991c6218b36c1d19D4a2e9Eb0cE3606eB48}, {name:assetOut, type:address, order:4, indexed:false, value:0x3Ea8ea4237344C9931214796d9417Af1A1180770, valueString:0x3Ea8ea4237344C9931214796d9417Af1A1180770}, {name:amount, type:uint256, order:5, indexed:false, value:50000000000, valueString:50000000000}, {name:userData, type:bytes, order:6, indexed:false, value:0x, valueString:0x}], funds=[{name:sender, type:address, order:1, indexed:false, value:0x896b94f4f27f12369698C302e2049cAe86936BbB, valueString:0x896b94f4f27f12369698C302e2049cAe86936BbB}, {name:fromInternalBalance, type:bool, order:2, indexed:false, value:false, valueString:False}, {name:recipient, type:address, order:3, indexed:false, value:0x896b94f4f27f12369698C302e2049cAe86936BbB, valueString:0x896b94f4f27f12369698C302e2049cAe86936BbB}, {name:toInternalBalance, type:bool, order:4, indexed:false, value:false, valueString:False}], limit=28428279282587064676616, deadline=115792089237316195423570985008687907853269984665640564039457584007913129639935 ) => ( amountCalculated=28574794829674163379941 )
  • Balancer v2: FLX_TLA Pool.9d2c110c( )
  • FiatTokenProxy.23b872dd( )
    • FiatTokenV2_1.transferFrom( from=0x896b94f4f27f12369698C302e2049cAe86936BbB, to=0xBA12222222228d8Ba445958a75a0704d566BF2C8, value=50000000000 ) => ( True )
    • FLX.transfer( recipient=0x896b94f4f27f12369698C302e2049cAe86936BbB, amount=28574794829674163379941 ) => ( True )
      swap[Swaps (ln:375)]
      File 1 of 4: Vault
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "./interfaces/IAuthorizer.sol";
      import "./interfaces/IWETH.sol";
      import "./VaultAuthorization.sol";
      import "./FlashLoans.sol";
      import "./Swaps.sol";
      /**
       * @dev The `Vault` is Balancer V2's core contract. A single instance of it exists for the entire network, and it is the
       * entity used to interact with Pools by Liquidity Providers who join and exit them, Traders who swap, and Asset
       * Managers who withdraw and deposit tokens.
       *
       * The `Vault`'s source code is split among a number of sub-contracts, with the goal of improving readability and making
       * understanding the system easier. Most sub-contracts have been marked as `abstract` to explicitly indicate that only
       * the full `Vault` is meant to be deployed.
       *
       * Roughly speaking, these are the contents of each sub-contract:
       *
       *  - `AssetManagers`: Pool token Asset Manager registry, and Asset Manager interactions.
       *  - `Fees`: set and compute protocol fees.
       *  - `FlashLoans`: flash loan transfers and fees.
       *  - `PoolBalances`: Pool joins and exits.
       *  - `PoolRegistry`: Pool registration, ID management, and basic queries.
       *  - `PoolTokens`: Pool token registration and registration, and balance queries.
       *  - `Swaps`: Pool swaps.
       *  - `UserBalance`: manage user balances (Internal Balance operations and external balance transfers)
       *  - `VaultAuthorization`: access control, relayers and signature validation.
       *
       * Additionally, the different Pool specializations are handled by the `GeneralPoolsBalance`,
       * `MinimalSwapInfoPoolsBalance` and `TwoTokenPoolsBalance` sub-contracts, which in turn make use of the
       * `BalanceAllocation` library.
       *
       * The most important goal of the `Vault` is to make token swaps use as little gas as possible. This is reflected in a
       * multitude of design decisions, from minor things like the format used to store Pool IDs, to major features such as
       * the different Pool specialization settings.
       *
       * Finally, the large number of tasks carried out by the Vault means its bytecode is very large, close to exceeding
       * the contract size limit imposed by EIP 170 (https://eips.ethereum.org/EIPS/eip-170). Manual tuning of the source code
       * was required to improve code generation and bring the bytecode size below this limit. This includes extensive
       * utilization of `internal` functions (particularly inside modifiers), usage of named return arguments, dedicated
       * storage access methods, dynamic revert reason generation, and usage of inline assembly, to name a few.
       */
      contract Vault is VaultAuthorization, FlashLoans, Swaps {
          constructor(
              IAuthorizer authorizer,
              IWETH weth,
              uint256 pauseWindowDuration,
              uint256 bufferPeriodDuration
          ) VaultAuthorization(authorizer) AssetHelpers(weth) TemporarilyPausable(pauseWindowDuration, bufferPeriodDuration) {
              // solhint-disable-previous-line no-empty-blocks
          }
          function setPaused(bool paused) external override nonReentrant authenticate {
              _setPaused(paused);
          }
          // solhint-disable-next-line func-name-mixedcase
          function WETH() external view override returns (IWETH) {
              return _WETH();
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      interface IAuthorizer {
          /**
           * @dev Returns true if `account` can perform the action described by `actionId` in the contract `where`.
           */
          function canPerform(
              bytes32 actionId,
              address account,
              address where
          ) external view returns (bool);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "../../lib/openzeppelin/IERC20.sol";
      /**
       * @dev Interface for the WETH token contract used internally for wrapping and unwrapping, to support
       * sending and receiving ETH in joins, swaps, and internal balance deposits and withdrawals.
       */
      interface IWETH is IERC20 {
          function deposit() external payable;
          function withdraw(uint256 amount) external;
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/helpers/Authentication.sol";
      import "../lib/helpers/TemporarilyPausable.sol";
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/helpers/SignaturesValidator.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "./interfaces/IVault.sol";
      import "./interfaces/IAuthorizer.sol";
      /**
       * @dev Manages access control of Vault permissioned functions by relying on the Authorizer and signature validation.
       *
       * Additionally handles relayer access and approval.
       */
      abstract contract VaultAuthorization is
          IVault,
          ReentrancyGuard,
          Authentication,
          SignaturesValidator,
          TemporarilyPausable
      {
          // Ideally, we'd store the type hashes as immutable state variables to avoid computing the hash at runtime, but
          // unfortunately immutable variables cannot be used in assembly, so we just keep the precomputed hashes instead.
          // _JOIN_TYPE_HASH = keccak256("JoinPool(bytes calldata,address sender,uint256 nonce,uint256 deadline)");
          bytes32 private constant _JOIN_TYPE_HASH = 0x3f7b71252bd19113ff48c19c6e004a9bcfcca320a0d74d58e85877cbd7dcae58;
          // _EXIT_TYPE_HASH = keccak256("ExitPool(bytes calldata,address sender,uint256 nonce,uint256 deadline)");
          bytes32 private constant _EXIT_TYPE_HASH = 0x8bbc57f66ea936902f50a71ce12b92c43f3c5340bb40c27c4e90ab84eeae3353;
          // _SWAP_TYPE_HASH = keccak256("Swap(bytes calldata,address sender,uint256 nonce,uint256 deadline)");
          bytes32 private constant _SWAP_TYPE_HASH = 0xe192dcbc143b1e244ad73b813fd3c097b832ad260a157340b4e5e5beda067abe;
          // _BATCH_SWAP_TYPE_HASH = keccak256("BatchSwap(bytes calldata,address sender,uint256 nonce,uint256 deadline)");
          bytes32 private constant _BATCH_SWAP_TYPE_HASH = 0x9bfc43a4d98313c6766986ffd7c916c7481566d9f224c6819af0a53388aced3a;
          // _SET_RELAYER_TYPE_HASH =
          //     keccak256("SetRelayerApproval(bytes calldata,address sender,uint256 nonce,uint256 deadline)");
          bytes32
              private constant _SET_RELAYER_TYPE_HASH = 0xa3f865aa351e51cfeb40f5178d1564bb629fe9030b83caf6361d1baaf5b90b5a;
          IAuthorizer private _authorizer;
          mapping(address => mapping(address => bool)) private _approvedRelayers;
          /**
           * @dev Reverts unless `user` is the caller, or the caller is approved by the Authorizer to call this function (that
           * is, it is a relayer for that function), and either:
           *  a) `user` approved the caller as a relayer (via `setRelayerApproval`), or
           *  b) a valid signature from them was appended to the calldata.
           *
           * Should only be applied to external functions.
           */
          modifier authenticateFor(address user) {
              _authenticateFor(user);
              _;
          }
          constructor(IAuthorizer authorizer)
              // The Vault is a singleton, so it simply uses its own address to disambiguate action identifiers.
              Authentication(bytes32(uint256(address(this))))
              SignaturesValidator("Balancer V2 Vault")
          {
              _setAuthorizer(authorizer);
          }
          function setAuthorizer(IAuthorizer newAuthorizer) external override nonReentrant authenticate {
              _setAuthorizer(newAuthorizer);
          }
          function _setAuthorizer(IAuthorizer newAuthorizer) private {
              emit AuthorizerChanged(newAuthorizer);
              _authorizer = newAuthorizer;
          }
          function getAuthorizer() external view override returns (IAuthorizer) {
              return _authorizer;
          }
          function setRelayerApproval(
              address sender,
              address relayer,
              bool approved
          ) external override nonReentrant whenNotPaused authenticateFor(sender) {
              _approvedRelayers[sender][relayer] = approved;
              emit RelayerApprovalChanged(relayer, sender, approved);
          }
          function hasApprovedRelayer(address user, address relayer) external view override returns (bool) {
              return _hasApprovedRelayer(user, relayer);
          }
          /**
           * @dev Reverts unless `user` is the caller, or the caller is approved by the Authorizer to call the entry point
           * function (that is, it is a relayer for that function) and either:
           *  a) `user` approved the caller as a relayer (via `setRelayerApproval`), or
           *  b) a valid signature from them was appended to the calldata.
           */
          function _authenticateFor(address user) internal {
              if (msg.sender != user) {
                  // In this context, 'permission to call a function' means 'being a relayer for a function'.
                  _authenticateCaller();
                  // Being a relayer is not sufficient: `user` must have also approved the caller either via
                  // `setRelayerApproval`, or by providing a signature appended to the calldata.
                  if (!_hasApprovedRelayer(user, msg.sender)) {
                      _validateSignature(user, Errors.USER_DOESNT_ALLOW_RELAYER);
                  }
              }
          }
          /**
           * @dev Returns true if `user` approved `relayer` to act as a relayer for them.
           */
          function _hasApprovedRelayer(address user, address relayer) internal view returns (bool) {
              return _approvedRelayers[user][relayer];
          }
          function _canPerform(bytes32 actionId, address user) internal view override returns (bool) {
              // Access control is delegated to the Authorizer.
              return _authorizer.canPerform(actionId, user, address(this));
          }
          function _typeHash() internal pure override returns (bytes32 hash) {
              // This is a simple switch-case statement, trivially written in Solidity by chaining else-if statements, but the
              // assembly implementation results in much denser bytecode.
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  // The function selector is located at the first 4 bytes of calldata. We copy the first full calldata
                  // 256 word, and then perform a logical shift to the right, moving the selector to the least significant
                  // 4 bytes.
                  let selector := shr(224, calldataload(0))
                  // With the selector in the least significant 4 bytes, we can use 4 byte literals with leading zeros,
                  // resulting in dense bytecode (PUSH4 opcodes).
                  switch selector
                      case 0xb95cac28 {
                          hash := _JOIN_TYPE_HASH
                      }
                      case 0x8bdb3913 {
                          hash := _EXIT_TYPE_HASH
                      }
                      case 0x52bbbe29 {
                          hash := _SWAP_TYPE_HASH
                      }
                      case 0x945bcec9 {
                          hash := _BATCH_SWAP_TYPE_HASH
                      }
                      case 0xfa6e671d {
                          hash := _SET_RELAYER_TYPE_HASH
                      }
                      default {
                          hash := 0x0000000000000000000000000000000000000000000000000000000000000000
                      }
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      // This flash loan provider was based on the Aave protocol's open source
      // implementation and terminology and interfaces are intentionally kept
      // similar
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "./Fees.sol";
      import "./interfaces/IFlashLoanRecipient.sol";
      /**
       * @dev Handles Flash Loans through the Vault. Calls the `receiveFlashLoan` hook on the flash loan recipient
       * contract, which implements the `IFlashLoanRecipient` interface.
       */
      abstract contract FlashLoans is Fees, ReentrancyGuard, TemporarilyPausable {
          using SafeERC20 for IERC20;
          function flashLoan(
              IFlashLoanRecipient recipient,
              IERC20[] memory tokens,
              uint256[] memory amounts,
              bytes memory userData
          ) external override nonReentrant whenNotPaused {
              InputHelpers.ensureInputLengthMatch(tokens.length, amounts.length);
              uint256[] memory feeAmounts = new uint256[](tokens.length);
              uint256[] memory preLoanBalances = new uint256[](tokens.length);
              // Used to ensure `tokens` is sorted in ascending order, which ensures token uniqueness.
              IERC20 previousToken = IERC20(0);
              for (uint256 i = 0; i < tokens.length; ++i) {
                  IERC20 token = tokens[i];
                  uint256 amount = amounts[i];
                  _require(token > previousToken, token == IERC20(0) ? Errors.ZERO_TOKEN : Errors.UNSORTED_TOKENS);
                  previousToken = token;
                  preLoanBalances[i] = token.balanceOf(address(this));
                  feeAmounts[i] = _calculateFlashLoanFeeAmount(amount);
                  _require(preLoanBalances[i] >= amount, Errors.INSUFFICIENT_FLASH_LOAN_BALANCE);
                  token.safeTransfer(address(recipient), amount);
              }
              recipient.receiveFlashLoan(tokens, amounts, feeAmounts, userData);
              for (uint256 i = 0; i < tokens.length; ++i) {
                  IERC20 token = tokens[i];
                  uint256 preLoanBalance = preLoanBalances[i];
                  // Checking for loan repayment first (without accounting for fees) makes for simpler debugging, and results
                  // in more accurate revert reasons if the flash loan protocol fee percentage is zero.
                  uint256 postLoanBalance = token.balanceOf(address(this));
                  _require(postLoanBalance >= preLoanBalance, Errors.INVALID_POST_LOAN_BALANCE);
                  // No need for checked arithmetic since we know the loan was fully repaid.
                  uint256 receivedFeeAmount = postLoanBalance - preLoanBalance;
                  _require(receivedFeeAmount >= feeAmounts[i], Errors.INSUFFICIENT_FLASH_LOAN_FEE_AMOUNT);
                  _payFeeAmount(token, receivedFeeAmount);
                  emit FlashLoan(recipient, token, amounts[i], receivedFeeAmount);
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/math/Math.sol";
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/helpers/InputHelpers.sol";
      import "../lib/openzeppelin/EnumerableMap.sol";
      import "../lib/openzeppelin/EnumerableSet.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "../lib/openzeppelin/SafeCast.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "./PoolBalances.sol";
      import "./interfaces/IPoolSwapStructs.sol";
      import "./interfaces/IGeneralPool.sol";
      import "./interfaces/IMinimalSwapInfoPool.sol";
      import "./balances/BalanceAllocation.sol";
      /**
       * Implements the Vault's high-level swap functionality.
       *
       * Users can swap tokens with Pools by calling the `swap` and `batchSwap` functions. They need not trust the Pool
       * contracts to do this: all security checks are made by the Vault.
       *
       * The `swap` function executes a single swap, while `batchSwap` can perform multiple swaps in sequence.
       * In each individual swap, tokens of one kind are sent from the sender to the Pool (this is the 'token in'),
       * and tokens of another kind are sent from the Pool to the recipient in exchange (this is the 'token out').
       * More complex swaps, such as one 'token in' to multiple tokens out can be achieved by batching together
       * individual swaps.
       */
      abstract contract Swaps is ReentrancyGuard, PoolBalances {
          using SafeERC20 for IERC20;
          using EnumerableSet for EnumerableSet.AddressSet;
          using EnumerableMap for EnumerableMap.IERC20ToBytes32Map;
          using Math for int256;
          using Math for uint256;
          using SafeCast for uint256;
          using BalanceAllocation for bytes32;
          function swap(
              SingleSwap memory singleSwap,
              FundManagement memory funds,
              uint256 limit,
              uint256 deadline
          )
              external
              payable
              override
              nonReentrant
              whenNotPaused
              authenticateFor(funds.sender)
              returns (uint256 amountCalculated)
          {
              // The deadline is timestamp-based: it should not be relied upon for sub-minute accuracy.
              // solhint-disable-next-line not-rely-on-time
              _require(block.timestamp <= deadline, Errors.SWAP_DEADLINE);
              // This revert reason is for consistency with `batchSwap`: an equivalent `swap` performed using that function
              // would result in this error.
              _require(singleSwap.amount > 0, Errors.UNKNOWN_AMOUNT_IN_FIRST_SWAP);
              IERC20 tokenIn = _translateToIERC20(singleSwap.assetIn);
              IERC20 tokenOut = _translateToIERC20(singleSwap.assetOut);
              _require(tokenIn != tokenOut, Errors.CANNOT_SWAP_SAME_TOKEN);
              // Initializing each struct field one-by-one uses less gas than setting all at once.
              IPoolSwapStructs.SwapRequest memory poolRequest;
              poolRequest.poolId = singleSwap.poolId;
              poolRequest.kind = singleSwap.kind;
              poolRequest.tokenIn = tokenIn;
              poolRequest.tokenOut = tokenOut;
              poolRequest.amount = singleSwap.amount;
              poolRequest.userData = singleSwap.userData;
              poolRequest.from = funds.sender;
              poolRequest.to = funds.recipient;
              // The lastChangeBlock field is left uninitialized.
              uint256 amountIn;
              uint256 amountOut;
              (amountCalculated, amountIn, amountOut) = _swapWithPool(poolRequest);
              _require(singleSwap.kind == SwapKind.GIVEN_IN ? amountOut >= limit : amountIn <= limit, Errors.SWAP_LIMIT);
              _receiveAsset(singleSwap.assetIn, amountIn, funds.sender, funds.fromInternalBalance);
              _sendAsset(singleSwap.assetOut, amountOut, funds.recipient, funds.toInternalBalance);
              // If the asset in is ETH, then `amountIn` ETH was wrapped into WETH.
              _handleRemainingEth(_isETH(singleSwap.assetIn) ? amountIn : 0);
          }
          function batchSwap(
              SwapKind kind,
              BatchSwapStep[] memory swaps,
              IAsset[] memory assets,
              FundManagement memory funds,
              int256[] memory limits,
              uint256 deadline
          )
              external
              payable
              override
              nonReentrant
              whenNotPaused
              authenticateFor(funds.sender)
              returns (int256[] memory assetDeltas)
          {
              // The deadline is timestamp-based: it should not be relied upon for sub-minute accuracy.
              // solhint-disable-next-line not-rely-on-time
              _require(block.timestamp <= deadline, Errors.SWAP_DEADLINE);
              InputHelpers.ensureInputLengthMatch(assets.length, limits.length);
              // Perform the swaps, updating the Pool token balances and computing the net Vault asset deltas.
              assetDeltas = _swapWithPools(swaps, assets, funds, kind);
              // Process asset deltas, by either transferring assets from the sender (for positive deltas) or to the recipient
              // (for negative deltas).
              uint256 wrappedEth = 0;
              for (uint256 i = 0; i < assets.length; ++i) {
                  IAsset asset = assets[i];
                  int256 delta = assetDeltas[i];
                  _require(delta <= limits[i], Errors.SWAP_LIMIT);
                  if (delta > 0) {
                      uint256 toReceive = uint256(delta);
                      _receiveAsset(asset, toReceive, funds.sender, funds.fromInternalBalance);
                      if (_isETH(asset)) {
                          wrappedEth = wrappedEth.add(toReceive);
                      }
                  } else if (delta < 0) {
                      uint256 toSend = uint256(-delta);
                      _sendAsset(asset, toSend, funds.recipient, funds.toInternalBalance);
                  }
              }
              // Handle any used and remaining ETH.
              _handleRemainingEth(wrappedEth);
          }
          // For `_swapWithPools` to handle both 'given in' and 'given out' swaps, it internally tracks the 'given' amount
          // (supplied by the caller), and the 'calculated' amount (returned by the Pool in response to the swap request).
          /**
           * @dev Given the two swap tokens and the swap kind, returns which one is the 'given' token (the token whose
           * amount is supplied by the caller).
           */
          function _tokenGiven(
              SwapKind kind,
              IERC20 tokenIn,
              IERC20 tokenOut
          ) private pure returns (IERC20) {
              return kind == SwapKind.GIVEN_IN ? tokenIn : tokenOut;
          }
          /**
           * @dev Given the two swap tokens and the swap kind, returns which one is the 'calculated' token (the token whose
           * amount is calculated by the Pool).
           */
          function _tokenCalculated(
              SwapKind kind,
              IERC20 tokenIn,
              IERC20 tokenOut
          ) private pure returns (IERC20) {
              return kind == SwapKind.GIVEN_IN ? tokenOut : tokenIn;
          }
          /**
           * @dev Returns an ordered pair (amountIn, amountOut) given the 'given' and 'calculated' amounts, and the swap kind.
           */
          function _getAmounts(
              SwapKind kind,
              uint256 amountGiven,
              uint256 amountCalculated
          ) private pure returns (uint256 amountIn, uint256 amountOut) {
              if (kind == SwapKind.GIVEN_IN) {
                  (amountIn, amountOut) = (amountGiven, amountCalculated);
              } else {
                  // SwapKind.GIVEN_OUT
                  (amountIn, amountOut) = (amountCalculated, amountGiven);
              }
          }
          /**
           * @dev Performs all `swaps`, calling swap hooks on the Pool contracts and updating their balances. Does not cause
           * any transfer of tokens - instead it returns the net Vault token deltas: positive if the Vault should receive
           * tokens, and negative if it should send them.
           */
          function _swapWithPools(
              BatchSwapStep[] memory swaps,
              IAsset[] memory assets,
              FundManagement memory funds,
              SwapKind kind
          ) private returns (int256[] memory assetDeltas) {
              assetDeltas = new int256[](assets.length);
              // These variables could be declared inside the loop, but that causes the compiler to allocate memory on each
              // loop iteration, increasing gas costs.
              BatchSwapStep memory batchSwapStep;
              IPoolSwapStructs.SwapRequest memory poolRequest;
              // These store data about the previous swap here to implement multihop logic across swaps.
              IERC20 previousTokenCalculated;
              uint256 previousAmountCalculated;
              for (uint256 i = 0; i < swaps.length; ++i) {
                  batchSwapStep = swaps[i];
                  bool withinBounds = batchSwapStep.assetInIndex < assets.length &&
                      batchSwapStep.assetOutIndex < assets.length;
                  _require(withinBounds, Errors.OUT_OF_BOUNDS);
                  IERC20 tokenIn = _translateToIERC20(assets[batchSwapStep.assetInIndex]);
                  IERC20 tokenOut = _translateToIERC20(assets[batchSwapStep.assetOutIndex]);
                  _require(tokenIn != tokenOut, Errors.CANNOT_SWAP_SAME_TOKEN);
                  // Sentinel value for multihop logic
                  if (batchSwapStep.amount == 0) {
                      // When the amount given is zero, we use the calculated amount for the previous swap, as long as the
                      // current swap's given token is the previous calculated token. This makes it possible to swap a
                      // given amount of token A for token B, and then use the resulting token B amount to swap for token C.
                      _require(i > 0, Errors.UNKNOWN_AMOUNT_IN_FIRST_SWAP);
                      bool usingPreviousToken = previousTokenCalculated == _tokenGiven(kind, tokenIn, tokenOut);
                      _require(usingPreviousToken, Errors.MALCONSTRUCTED_MULTIHOP_SWAP);
                      batchSwapStep.amount = previousAmountCalculated;
                  }
                  // Initializing each struct field one-by-one uses less gas than setting all at once
                  poolRequest.poolId = batchSwapStep.poolId;
                  poolRequest.kind = kind;
                  poolRequest.tokenIn = tokenIn;
                  poolRequest.tokenOut = tokenOut;
                  poolRequest.amount = batchSwapStep.amount;
                  poolRequest.userData = batchSwapStep.userData;
                  poolRequest.from = funds.sender;
                  poolRequest.to = funds.recipient;
                  // The lastChangeBlock field is left uninitialized
                  uint256 amountIn;
                  uint256 amountOut;
                  (previousAmountCalculated, amountIn, amountOut) = _swapWithPool(poolRequest);
                  previousTokenCalculated = _tokenCalculated(kind, tokenIn, tokenOut);
                  // Accumulate Vault deltas across swaps
                  assetDeltas[batchSwapStep.assetInIndex] = assetDeltas[batchSwapStep.assetInIndex].add(amountIn.toInt256());
                  assetDeltas[batchSwapStep.assetOutIndex] = assetDeltas[batchSwapStep.assetOutIndex].sub(
                      amountOut.toInt256()
                  );
              }
          }
          /**
           * @dev Performs a swap according to the parameters specified in `request`, calling the Pool's contract hook and
           * updating the Pool's balance.
           *
           * Returns the amount of tokens going into or out of the Vault as a result of this swap, depending on the swap kind.
           */
          function _swapWithPool(IPoolSwapStructs.SwapRequest memory request)
              private
              returns (
                  uint256 amountCalculated,
                  uint256 amountIn,
                  uint256 amountOut
              )
          {
              // Get the calculated amount from the Pool and update its balances
              address pool = _getPoolAddress(request.poolId);
              PoolSpecialization specialization = _getPoolSpecialization(request.poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  amountCalculated = _processTwoTokenPoolSwapRequest(request, IMinimalSwapInfoPool(pool));
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  amountCalculated = _processMinimalSwapInfoPoolSwapRequest(request, IMinimalSwapInfoPool(pool));
              } else {
                  // PoolSpecialization.GENERAL
                  amountCalculated = _processGeneralPoolSwapRequest(request, IGeneralPool(pool));
              }
              (amountIn, amountOut) = _getAmounts(request.kind, request.amount, amountCalculated);
              emit Swap(request.poolId, request.tokenIn, request.tokenOut, amountIn, amountOut);
          }
          function _processTwoTokenPoolSwapRequest(IPoolSwapStructs.SwapRequest memory request, IMinimalSwapInfoPool pool)
              private
              returns (uint256 amountCalculated)
          {
              // For gas efficiency reasons, this function uses low-level knowledge of how Two Token Pool balances are
              // stored internally, instead of using getters and setters for all operations.
              (
                  bytes32 tokenABalance,
                  bytes32 tokenBBalance,
                  TwoTokenPoolBalances storage poolBalances
              ) = _getTwoTokenPoolSharedBalances(request.poolId, request.tokenIn, request.tokenOut);
              // We have the two Pool balances, but we don't know which one is 'token in' or 'token out'.
              bytes32 tokenInBalance;
              bytes32 tokenOutBalance;
              // In Two Token Pools, token A has a smaller address than token B
              if (request.tokenIn < request.tokenOut) {
                  // in is A, out is B
                  tokenInBalance = tokenABalance;
                  tokenOutBalance = tokenBBalance;
              } else {
                  // in is B, out is A
                  tokenOutBalance = tokenABalance;
                  tokenInBalance = tokenBBalance;
              }
              // Perform the swap request and compute the new balances for 'token in' and 'token out' after the swap
              (tokenInBalance, tokenOutBalance, amountCalculated) = _callMinimalSwapInfoPoolOnSwapHook(
                  request,
                  pool,
                  tokenInBalance,
                  tokenOutBalance
              );
              // We check the token ordering again to create the new shared cash packed struct
              poolBalances.sharedCash = request.tokenIn < request.tokenOut
                  ? BalanceAllocation.toSharedCash(tokenInBalance, tokenOutBalance) // in is A, out is B
                  : BalanceAllocation.toSharedCash(tokenOutBalance, tokenInBalance); // in is B, out is A
          }
          function _processMinimalSwapInfoPoolSwapRequest(
              IPoolSwapStructs.SwapRequest memory request,
              IMinimalSwapInfoPool pool
          ) private returns (uint256 amountCalculated) {
              bytes32 tokenInBalance = _getMinimalSwapInfoPoolBalance(request.poolId, request.tokenIn);
              bytes32 tokenOutBalance = _getMinimalSwapInfoPoolBalance(request.poolId, request.tokenOut);
              // Perform the swap request and compute the new balances for 'token in' and 'token out' after the swap
              (tokenInBalance, tokenOutBalance, amountCalculated) = _callMinimalSwapInfoPoolOnSwapHook(
                  request,
                  pool,
                  tokenInBalance,
                  tokenOutBalance
              );
              _minimalSwapInfoPoolsBalances[request.poolId][request.tokenIn] = tokenInBalance;
              _minimalSwapInfoPoolsBalances[request.poolId][request.tokenOut] = tokenOutBalance;
          }
          /**
           * @dev Calls the onSwap hook for a Pool that implements IMinimalSwapInfoPool: both Minimal Swap Info and Two Token
           * Pools do this.
           */
          function _callMinimalSwapInfoPoolOnSwapHook(
              IPoolSwapStructs.SwapRequest memory request,
              IMinimalSwapInfoPool pool,
              bytes32 tokenInBalance,
              bytes32 tokenOutBalance
          )
              internal
              returns (
                  bytes32 newTokenInBalance,
                  bytes32 newTokenOutBalance,
                  uint256 amountCalculated
              )
          {
              uint256 tokenInTotal = tokenInBalance.total();
              uint256 tokenOutTotal = tokenOutBalance.total();
              request.lastChangeBlock = Math.max(tokenInBalance.lastChangeBlock(), tokenOutBalance.lastChangeBlock());
              // Perform the swap request callback, and compute the new balances for 'token in' and 'token out' after the swap
              amountCalculated = pool.onSwap(request, tokenInTotal, tokenOutTotal);
              (uint256 amountIn, uint256 amountOut) = _getAmounts(request.kind, request.amount, amountCalculated);
              newTokenInBalance = tokenInBalance.increaseCash(amountIn);
              newTokenOutBalance = tokenOutBalance.decreaseCash(amountOut);
          }
          function _processGeneralPoolSwapRequest(IPoolSwapStructs.SwapRequest memory request, IGeneralPool pool)
              private
              returns (uint256 amountCalculated)
          {
              bytes32 tokenInBalance;
              bytes32 tokenOutBalance;
              // We access both token indexes without checking existence, because we will do it manually immediately after.
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[request.poolId];
              uint256 indexIn = poolBalances.unchecked_indexOf(request.tokenIn);
              uint256 indexOut = poolBalances.unchecked_indexOf(request.tokenOut);
              if (indexIn == 0 || indexOut == 0) {
                  // The tokens might not be registered because the Pool itself is not registered. We check this to provide a
                  // more accurate revert reason.
                  _ensureRegisteredPool(request.poolId);
                  _revert(Errors.TOKEN_NOT_REGISTERED);
              }
              // EnumerableMap stores indices *plus one* to use the zero index as a sentinel value - because these are valid,
              // we can undo this.
              indexIn -= 1;
              indexOut -= 1;
              uint256 tokenAmount = poolBalances.length();
              uint256[] memory currentBalances = new uint256[](tokenAmount);
              request.lastChangeBlock = 0;
              for (uint256 i = 0; i < tokenAmount; i++) {
                  // Because the iteration is bounded by `tokenAmount`, and no tokens are registered or deregistered here, we
                  // know `i` is a valid token index and can use `unchecked_valueAt` to save storage reads.
                  bytes32 balance = poolBalances.unchecked_valueAt(i);
                  currentBalances[i] = balance.total();
                  request.lastChangeBlock = Math.max(request.lastChangeBlock, balance.lastChangeBlock());
                  if (i == indexIn) {
                      tokenInBalance = balance;
                  } else if (i == indexOut) {
                      tokenOutBalance = balance;
                  }
              }
              // Perform the swap request callback and compute the new balances for 'token in' and 'token out' after the swap
              amountCalculated = pool.onSwap(request, currentBalances, indexIn, indexOut);
              (uint256 amountIn, uint256 amountOut) = _getAmounts(request.kind, request.amount, amountCalculated);
              tokenInBalance = tokenInBalance.increaseCash(amountIn);
              tokenOutBalance = tokenOutBalance.decreaseCash(amountOut);
              // Because no tokens were registered or deregistered between now or when we retrieved the indexes for
              // 'token in' and 'token out', we can use `unchecked_setAt` to save storage reads.
              poolBalances.unchecked_setAt(indexIn, tokenInBalance);
              poolBalances.unchecked_setAt(indexOut, tokenOutBalance);
          }
          // This function is not marked as `nonReentrant` because the underlying mechanism relies on reentrancy
          function queryBatchSwap(
              SwapKind kind,
              BatchSwapStep[] memory swaps,
              IAsset[] memory assets,
              FundManagement memory funds
          ) external override returns (int256[] memory) {
              // In order to accurately 'simulate' swaps, this function actually does perform the swaps, including calling the
              // Pool hooks and updating balances in storage. However, once it computes the final Vault Deltas, it
              // reverts unconditionally, returning this array as the revert data.
              //
              // By wrapping this reverting call, we can decode the deltas 'returned' and return them as a normal Solidity
              // function would. The only caveat is the function becomes non-view, but off-chain clients can still call it
              // via eth_call to get the expected result.
              //
              // This technique was inspired by the work from the Gnosis team in the Gnosis Safe contract:
              // https://github.com/gnosis/safe-contracts/blob/v1.2.0/contracts/GnosisSafe.sol#L265
              //
              // Most of this function is implemented using inline assembly, as the actual work it needs to do is not
              // significant, and Solidity is not particularly well-suited to generate this behavior, resulting in a large
              // amount of generated bytecode.
              if (msg.sender != address(this)) {
                  // We perform an external call to ourselves, forwarding the same calldata. In this call, the else clause of
                  // the preceding if statement will be executed instead.
                  // solhint-disable-next-line avoid-low-level-calls
                  (bool success, ) = address(this).call(msg.data);
                  // solhint-disable-next-line no-inline-assembly
                  assembly {
                      // This call should always revert to decode the actual asset deltas from the revert reason
                      switch success
                          case 0 {
                              // Note we are manually writing the memory slot 0. We can safely overwrite whatever is
                              // stored there as we take full control of the execution and then immediately return.
                              // We copy the first 4 bytes to check if it matches with the expected signature, otherwise
                              // there was another revert reason and we should forward it.
                              returndatacopy(0, 0, 0x04)
                              let error := and(mload(0), 0xffffffff00000000000000000000000000000000000000000000000000000000)
                              // If the first 4 bytes don't match with the expected signature, we forward the revert reason.
                              if eq(eq(error, 0xfa61cc1200000000000000000000000000000000000000000000000000000000), 0) {
                                  returndatacopy(0, 0, returndatasize())
                                  revert(0, returndatasize())
                              }
                              // The returndata contains the signature, followed by the raw memory representation of an array:
                              // length + data. We need to return an ABI-encoded representation of this array.
                              // An ABI-encoded array contains an additional field when compared to its raw memory
                              // representation: an offset to the location of the length. The offset itself is 32 bytes long,
                              // so the smallest value we  can use is 32 for the data to be located immediately after it.
                              mstore(0, 32)
                              // We now copy the raw memory array from returndata into memory. Since the offset takes up 32
                              // bytes, we start copying at address 0x20. We also get rid of the error signature, which takes
                              // the first four bytes of returndata.
                              let size := sub(returndatasize(), 0x04)
                              returndatacopy(0x20, 0x04, size)
                              // We finally return the ABI-encoded array, which has a total length equal to that of the array
                              // (returndata), plus the 32 bytes for the offset.
                              return(0, add(size, 32))
                          }
                          default {
                              // This call should always revert, but we fail nonetheless if that didn't happen
                              invalid()
                          }
                  }
              } else {
                  int256[] memory deltas = _swapWithPools(swaps, assets, funds, kind);
                  // solhint-disable-next-line no-inline-assembly
                  assembly {
                      // We will return a raw representation of the array in memory, which is composed of a 32 byte length,
                      // followed by the 32 byte int256 values. Because revert expects a size in bytes, we multiply the array
                      // length (stored at `deltas`) by 32.
                      let size := mul(mload(deltas), 32)
                      // We send one extra value for the error signature "QueryError(int256[])" which is 0xfa61cc12.
                      // We store it in the previous slot to the `deltas` array. We know there will be at least one available
                      // slot due to how the memory scratch space works.
                      // We can safely overwrite whatever is stored in this slot as we will revert immediately after that.
                      mstore(sub(deltas, 0x20), 0x00000000000000000000000000000000000000000000000000000000fa61cc12)
                      let start := sub(deltas, 0x04)
                      // When copying from `deltas` into returndata, we copy an additional 36 bytes to also return the array's
                      // length and the error signature.
                      revert(start, add(size, 36))
                  }
              }
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      /**
       * @dev Interface of the ERC20 standard as defined in the EIP.
       */
      interface IERC20 {
          /**
           * @dev Returns the amount of tokens in existence.
           */
          function totalSupply() external view returns (uint256);
          /**
           * @dev Returns the amount of tokens owned by `account`.
           */
          function balanceOf(address account) external view returns (uint256);
          /**
           * @dev Moves `amount` tokens from the caller's account to `recipient`.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * Emits a {Transfer} event.
           */
          function transfer(address recipient, uint256 amount) external returns (bool);
          /**
           * @dev Returns the remaining number of tokens that `spender` will be
           * allowed to spend on behalf of `owner` through {transferFrom}. This is
           * zero by default.
           *
           * This value changes when {approve} or {transferFrom} are called.
           */
          function allowance(address owner, address spender) external view returns (uint256);
          /**
           * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * IMPORTANT: Beware that changing an allowance with this method brings the risk
           * that someone may use both the old and the new allowance by unfortunate
           * transaction ordering. One possible solution to mitigate this race
           * condition is to first reduce the spender's allowance to 0 and set the
           * desired value afterwards:
           * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
           *
           * Emits an {Approval} event.
           */
          function approve(address spender, uint256 amount) external returns (bool);
          /**
           * @dev Moves `amount` tokens from `sender` to `recipient` using the
           * allowance mechanism. `amount` is then deducted from the caller's
           * allowance.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * Emits a {Transfer} event.
           */
          function transferFrom(
              address sender,
              address recipient,
              uint256 amount
          ) external returns (bool);
          /**
           * @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);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      // solhint-disable
      /**
       * @dev Reverts if `condition` is false, with a revert reason containing `errorCode`. Only codes up to 999 are
       * supported.
       */
      function _require(bool condition, uint256 errorCode) pure {
          if (!condition) _revert(errorCode);
      }
      /**
       * @dev Reverts with a revert reason containing `errorCode`. Only codes up to 999 are supported.
       */
      function _revert(uint256 errorCode) pure {
          // We're going to dynamically create a revert string based on the error code, with the following format:
          // 'BAL#{errorCode}'
          // where the code is left-padded with zeroes to three digits (so they range from 000 to 999).
          //
          // We don't have revert strings embedded in the contract to save bytecode size: it takes much less space to store a
          // number (8 to 16 bits) than the individual string characters.
          //
          // The dynamic string creation algorithm that follows could be implemented in Solidity, but assembly allows for a
          // much denser implementation, again saving bytecode size. Given this function unconditionally reverts, this is a
          // safe place to rely on it without worrying about how its usage might affect e.g. memory contents.
          assembly {
              // First, we need to compute the ASCII representation of the error code. We assume that it is in the 0-999
              // range, so we only need to convert three digits. To convert the digits to ASCII, we add 0x30, the value for
              // the '0' character.
              let units := add(mod(errorCode, 10), 0x30)
              errorCode := div(errorCode, 10)
              let tenths := add(mod(errorCode, 10), 0x30)
              errorCode := div(errorCode, 10)
              let hundreds := add(mod(errorCode, 10), 0x30)
              // With the individual characters, we can now construct the full string. The "BAL#" part is a known constant
              // (0x42414c23): we simply shift this by 24 (to provide space for the 3 bytes of the error code), and add the
              // characters to it, each shifted by a multiple of 8.
              // The revert reason is then shifted left by 200 bits (256 minus the length of the string, 7 characters * 8 bits
              // per character = 56) to locate it in the most significant part of the 256 slot (the beginning of a byte
              // array).
              let revertReason := shl(200, add(0x42414c23000000, add(add(units, shl(8, tenths)), shl(16, hundreds))))
              // We can now encode the reason in memory, which can be safely overwritten as we're about to revert. The encoded
              // message will have the following layout:
              // [ revert reason identifier ] [ string location offset ] [ string length ] [ string contents ]
              // The Solidity revert reason identifier is 0x08c739a0, the function selector of the Error(string) function. We
              // also write zeroes to the next 28 bytes of memory, but those are about to be overwritten.
              mstore(0x0, 0x08c379a000000000000000000000000000000000000000000000000000000000)
              // Next is the offset to the location of the string, which will be placed immediately after (20 bytes away).
              mstore(0x04, 0x0000000000000000000000000000000000000000000000000000000000000020)
              // The string length is fixed: 7 characters.
              mstore(0x24, 7)
              // Finally, the string itself is stored.
              mstore(0x44, revertReason)
              // Even if the string is only 7 bytes long, we need to return a full 32 byte slot containing it. The length of
              // the encoded message is therefore 4 + 32 + 32 + 32 = 100.
              revert(0, 100)
          }
      }
      library Errors {
          // Math
          uint256 internal constant ADD_OVERFLOW = 0;
          uint256 internal constant SUB_OVERFLOW = 1;
          uint256 internal constant SUB_UNDERFLOW = 2;
          uint256 internal constant MUL_OVERFLOW = 3;
          uint256 internal constant ZERO_DIVISION = 4;
          uint256 internal constant DIV_INTERNAL = 5;
          uint256 internal constant X_OUT_OF_BOUNDS = 6;
          uint256 internal constant Y_OUT_OF_BOUNDS = 7;
          uint256 internal constant PRODUCT_OUT_OF_BOUNDS = 8;
          uint256 internal constant INVALID_EXPONENT = 9;
          // Input
          uint256 internal constant OUT_OF_BOUNDS = 100;
          uint256 internal constant UNSORTED_ARRAY = 101;
          uint256 internal constant UNSORTED_TOKENS = 102;
          uint256 internal constant INPUT_LENGTH_MISMATCH = 103;
          uint256 internal constant ZERO_TOKEN = 104;
          // Shared pools
          uint256 internal constant MIN_TOKENS = 200;
          uint256 internal constant MAX_TOKENS = 201;
          uint256 internal constant MAX_SWAP_FEE_PERCENTAGE = 202;
          uint256 internal constant MIN_SWAP_FEE_PERCENTAGE = 203;
          uint256 internal constant MINIMUM_BPT = 204;
          uint256 internal constant CALLER_NOT_VAULT = 205;
          uint256 internal constant UNINITIALIZED = 206;
          uint256 internal constant BPT_IN_MAX_AMOUNT = 207;
          uint256 internal constant BPT_OUT_MIN_AMOUNT = 208;
          uint256 internal constant EXPIRED_PERMIT = 209;
          // Pools
          uint256 internal constant MIN_AMP = 300;
          uint256 internal constant MAX_AMP = 301;
          uint256 internal constant MIN_WEIGHT = 302;
          uint256 internal constant MAX_STABLE_TOKENS = 303;
          uint256 internal constant MAX_IN_RATIO = 304;
          uint256 internal constant MAX_OUT_RATIO = 305;
          uint256 internal constant MIN_BPT_IN_FOR_TOKEN_OUT = 306;
          uint256 internal constant MAX_OUT_BPT_FOR_TOKEN_IN = 307;
          uint256 internal constant NORMALIZED_WEIGHT_INVARIANT = 308;
          uint256 internal constant INVALID_TOKEN = 309;
          uint256 internal constant UNHANDLED_JOIN_KIND = 310;
          uint256 internal constant ZERO_INVARIANT = 311;
          // Lib
          uint256 internal constant REENTRANCY = 400;
          uint256 internal constant SENDER_NOT_ALLOWED = 401;
          uint256 internal constant PAUSED = 402;
          uint256 internal constant PAUSE_WINDOW_EXPIRED = 403;
          uint256 internal constant MAX_PAUSE_WINDOW_DURATION = 404;
          uint256 internal constant MAX_BUFFER_PERIOD_DURATION = 405;
          uint256 internal constant INSUFFICIENT_BALANCE = 406;
          uint256 internal constant INSUFFICIENT_ALLOWANCE = 407;
          uint256 internal constant ERC20_TRANSFER_FROM_ZERO_ADDRESS = 408;
          uint256 internal constant ERC20_TRANSFER_TO_ZERO_ADDRESS = 409;
          uint256 internal constant ERC20_MINT_TO_ZERO_ADDRESS = 410;
          uint256 internal constant ERC20_BURN_FROM_ZERO_ADDRESS = 411;
          uint256 internal constant ERC20_APPROVE_FROM_ZERO_ADDRESS = 412;
          uint256 internal constant ERC20_APPROVE_TO_ZERO_ADDRESS = 413;
          uint256 internal constant ERC20_TRANSFER_EXCEEDS_ALLOWANCE = 414;
          uint256 internal constant ERC20_DECREASED_ALLOWANCE_BELOW_ZERO = 415;
          uint256 internal constant ERC20_TRANSFER_EXCEEDS_BALANCE = 416;
          uint256 internal constant ERC20_BURN_EXCEEDS_ALLOWANCE = 417;
          uint256 internal constant SAFE_ERC20_CALL_FAILED = 418;
          uint256 internal constant ADDRESS_INSUFFICIENT_BALANCE = 419;
          uint256 internal constant ADDRESS_CANNOT_SEND_VALUE = 420;
          uint256 internal constant SAFE_CAST_VALUE_CANT_FIT_INT256 = 421;
          uint256 internal constant GRANT_SENDER_NOT_ADMIN = 422;
          uint256 internal constant REVOKE_SENDER_NOT_ADMIN = 423;
          uint256 internal constant RENOUNCE_SENDER_NOT_ALLOWED = 424;
          uint256 internal constant BUFFER_PERIOD_EXPIRED = 425;
          // Vault
          uint256 internal constant INVALID_POOL_ID = 500;
          uint256 internal constant CALLER_NOT_POOL = 501;
          uint256 internal constant SENDER_NOT_ASSET_MANAGER = 502;
          uint256 internal constant USER_DOESNT_ALLOW_RELAYER = 503;
          uint256 internal constant INVALID_SIGNATURE = 504;
          uint256 internal constant EXIT_BELOW_MIN = 505;
          uint256 internal constant JOIN_ABOVE_MAX = 506;
          uint256 internal constant SWAP_LIMIT = 507;
          uint256 internal constant SWAP_DEADLINE = 508;
          uint256 internal constant CANNOT_SWAP_SAME_TOKEN = 509;
          uint256 internal constant UNKNOWN_AMOUNT_IN_FIRST_SWAP = 510;
          uint256 internal constant MALCONSTRUCTED_MULTIHOP_SWAP = 511;
          uint256 internal constant INTERNAL_BALANCE_OVERFLOW = 512;
          uint256 internal constant INSUFFICIENT_INTERNAL_BALANCE = 513;
          uint256 internal constant INVALID_ETH_INTERNAL_BALANCE = 514;
          uint256 internal constant INVALID_POST_LOAN_BALANCE = 515;
          uint256 internal constant INSUFFICIENT_ETH = 516;
          uint256 internal constant UNALLOCATED_ETH = 517;
          uint256 internal constant ETH_TRANSFER = 518;
          uint256 internal constant CANNOT_USE_ETH_SENTINEL = 519;
          uint256 internal constant TOKENS_MISMATCH = 520;
          uint256 internal constant TOKEN_NOT_REGISTERED = 521;
          uint256 internal constant TOKEN_ALREADY_REGISTERED = 522;
          uint256 internal constant TOKENS_ALREADY_SET = 523;
          uint256 internal constant TOKENS_LENGTH_MUST_BE_2 = 524;
          uint256 internal constant NONZERO_TOKEN_BALANCE = 525;
          uint256 internal constant BALANCE_TOTAL_OVERFLOW = 526;
          uint256 internal constant POOL_NO_TOKENS = 527;
          uint256 internal constant INSUFFICIENT_FLASH_LOAN_BALANCE = 528;
          // Fees
          uint256 internal constant SWAP_FEE_PERCENTAGE_TOO_HIGH = 600;
          uint256 internal constant FLASH_LOAN_FEE_PERCENTAGE_TOO_HIGH = 601;
          uint256 internal constant INSUFFICIENT_FLASH_LOAN_FEE_AMOUNT = 602;
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "./BalancerErrors.sol";
      import "./IAuthentication.sol";
      /**
       * @dev Building block for performing access control on external functions.
       *
       * This contract is used via the `authenticate` modifier (or the `_authenticateCaller` function), which can be applied
       * to external functions to only make them callable by authorized accounts.
       *
       * Derived contracts must implement the `_canPerform` function, which holds the actual access control logic.
       */
      abstract contract Authentication is IAuthentication {
          bytes32 private immutable _actionIdDisambiguator;
          /**
           * @dev The main purpose of the `actionIdDisambiguator` is to prevent accidental function selector collisions in
           * multi contract systems.
           *
           * There are two main uses for it:
           *  - if the contract is a singleton, any unique identifier can be used to make the associated action identifiers
           *    unique. The contract's own address is a good option.
           *  - if the contract belongs to a family that shares action identifiers for the same functions, an identifier
           *    shared by the entire family (and no other contract) should be used instead.
           */
          constructor(bytes32 actionIdDisambiguator) {
              _actionIdDisambiguator = actionIdDisambiguator;
          }
          /**
           * @dev Reverts unless the caller is allowed to call this function. Should only be applied to external functions.
           */
          modifier authenticate() {
              _authenticateCaller();
              _;
          }
          /**
           * @dev Reverts unless the caller is allowed to call the entry point function.
           */
          function _authenticateCaller() internal view {
              bytes32 actionId = getActionId(msg.sig);
              _require(_canPerform(actionId, msg.sender), Errors.SENDER_NOT_ALLOWED);
          }
          function getActionId(bytes4 selector) public view override returns (bytes32) {
              // Each external function is dynamically assigned an action identifier as the hash of the disambiguator and the
              // function selector. Disambiguation is necessary to avoid potential collisions in the function selectors of
              // multiple contracts.
              return keccak256(abi.encodePacked(_actionIdDisambiguator, selector));
          }
          function _canPerform(bytes32 actionId, address user) internal view virtual returns (bool);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "./BalancerErrors.sol";
      import "./ITemporarilyPausable.sol";
      /**
       * @dev Allows for a contract to be paused during an initial period after deployment, disabling functionality. Can be
       * used as an emergency switch in case a security vulnerability or threat is identified.
       *
       * The contract can only be paused during the Pause Window, a period that starts at deployment. It can also be
       * unpaused and repaused any number of times during this period. This is intended to serve as a safety measure: it lets
       * system managers react quickly to potentially dangerous situations, knowing that this action is reversible if careful
       * analysis later determines there was a false alarm.
       *
       * If the contract is paused when the Pause Window finishes, it will remain in the paused state through an additional
       * Buffer Period, after which it will be automatically unpaused forever. This is to ensure there is always enough time
       * to react to an emergency, even if the threat is discovered shortly before the Pause Window expires.
       *
       * Note that since the contract can only be paused within the Pause Window, unpausing during the Buffer Period is
       * irreversible.
       */
      abstract contract TemporarilyPausable is ITemporarilyPausable {
          // The Pause Window and Buffer Period are timestamp-based: they should not be relied upon for sub-minute accuracy.
          // solhint-disable not-rely-on-time
          uint256 private constant _MAX_PAUSE_WINDOW_DURATION = 90 days;
          uint256 private constant _MAX_BUFFER_PERIOD_DURATION = 30 days;
          uint256 private immutable _pauseWindowEndTime;
          uint256 private immutable _bufferPeriodEndTime;
          bool private _paused;
          constructor(uint256 pauseWindowDuration, uint256 bufferPeriodDuration) {
              _require(pauseWindowDuration <= _MAX_PAUSE_WINDOW_DURATION, Errors.MAX_PAUSE_WINDOW_DURATION);
              _require(bufferPeriodDuration <= _MAX_BUFFER_PERIOD_DURATION, Errors.MAX_BUFFER_PERIOD_DURATION);
              uint256 pauseWindowEndTime = block.timestamp + pauseWindowDuration;
              _pauseWindowEndTime = pauseWindowEndTime;
              _bufferPeriodEndTime = pauseWindowEndTime + bufferPeriodDuration;
          }
          /**
           * @dev Reverts if the contract is paused.
           */
          modifier whenNotPaused() {
              _ensureNotPaused();
              _;
          }
          /**
           * @dev Returns the current contract pause status, as well as the end times of the Pause Window and Buffer
           * Period.
           */
          function getPausedState()
              external
              view
              override
              returns (
                  bool paused,
                  uint256 pauseWindowEndTime,
                  uint256 bufferPeriodEndTime
              )
          {
              paused = !_isNotPaused();
              pauseWindowEndTime = _getPauseWindowEndTime();
              bufferPeriodEndTime = _getBufferPeriodEndTime();
          }
          /**
           * @dev Sets the pause state to `paused`. The contract can only be paused until the end of the Pause Window, and
           * unpaused until the end of the Buffer Period.
           *
           * Once the Buffer Period expires, this function reverts unconditionally.
           */
          function _setPaused(bool paused) internal {
              if (paused) {
                  _require(block.timestamp < _getPauseWindowEndTime(), Errors.PAUSE_WINDOW_EXPIRED);
              } else {
                  _require(block.timestamp < _getBufferPeriodEndTime(), Errors.BUFFER_PERIOD_EXPIRED);
              }
              _paused = paused;
              emit PausedStateChanged(paused);
          }
          /**
           * @dev Reverts if the contract is paused.
           */
          function _ensureNotPaused() internal view {
              _require(_isNotPaused(), Errors.PAUSED);
          }
          /**
           * @dev Returns true if the contract is unpaused.
           *
           * Once the Buffer Period expires, the gas cost of calling this function is reduced dramatically, as storage is no
           * longer accessed.
           */
          function _isNotPaused() internal view returns (bool) {
              // After the Buffer Period, the (inexpensive) timestamp check short-circuits the storage access.
              return block.timestamp > _getBufferPeriodEndTime() || !_paused;
          }
          // These getters lead to reduced bytecode size by inlining the immutable variables in a single place.
          function _getPauseWindowEndTime() private view returns (uint256) {
              return _pauseWindowEndTime;
          }
          function _getBufferPeriodEndTime() private view returns (uint256) {
              return _bufferPeriodEndTime;
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "./BalancerErrors.sol";
      import "./ISignaturesValidator.sol";
      import "../openzeppelin/EIP712.sol";
      /**
       * @dev Utility for signing Solidity function calls.
       *
       * This contract relies on the fact that Solidity contracts can be called with extra calldata, and enables
       * meta-transaction schemes by appending an EIP712 signature of the original calldata at the end.
       *
       * Derived contracts must implement the `_typeHash` function to map function selectors to EIP712 structs.
       */
      abstract contract SignaturesValidator is ISignaturesValidator, EIP712 {
          // The appended data consists of a deadline, plus the [v,r,s] signature. For simplicity, we use a full 256 bit slot
          // for each of these values, even if 'v' is typically an 8 bit value.
          uint256 internal constant _EXTRA_CALLDATA_LENGTH = 4 * 32;
          // Replay attack prevention for each user.
          mapping(address => uint256) internal _nextNonce;
          constructor(string memory name) EIP712(name, "1") {
              // solhint-disable-previous-line no-empty-blocks
          }
          function getDomainSeparator() external view override returns (bytes32) {
              return _domainSeparatorV4();
          }
          function getNextNonce(address user) external view override returns (uint256) {
              return _nextNonce[user];
          }
          /**
           * @dev Reverts with `errorCode` unless a valid signature for `user` was appended to the calldata.
           */
          function _validateSignature(address user, uint256 errorCode) internal {
              uint256 nextNonce = _nextNonce[user]++;
              _require(_isSignatureValid(user, nextNonce), errorCode);
          }
          function _isSignatureValid(address user, uint256 nonce) private view returns (bool) {
              uint256 deadline = _deadline();
              // The deadline is timestamp-based: it should not be relied upon for sub-minute accuracy.
              // solhint-disable-next-line not-rely-on-time
              if (deadline < block.timestamp) {
                  return false;
              }
              bytes32 typeHash = _typeHash();
              if (typeHash == bytes32(0)) {
                  // Prevent accidental signature validation for functions that don't have an associated type hash.
                  return false;
              }
              // All type hashes have this format: (bytes calldata, address sender, uint256 nonce, uint256 deadline).
              bytes32 structHash = keccak256(abi.encode(typeHash, keccak256(_calldata()), msg.sender, nonce, deadline));
              bytes32 digest = _hashTypedDataV4(structHash);
              (uint8 v, bytes32 r, bytes32 s) = _signature();
              address recoveredAddress = ecrecover(digest, v, r, s);
              // ecrecover returns the zero address on recover failure, so we need to handle that explicitly.
              return recoveredAddress != address(0) && recoveredAddress == user;
          }
          /**
           * @dev Returns the EIP712 type hash for the current entry point function, which can be identified by its function
           * selector (available as `msg.sig`).
           *
           * The type hash must conform to the following format:
           *  <name>(bytes calldata, address sender, uint256 nonce, uint256 deadline)
           *
           * If 0x00, all signatures will be considered invalid.
           */
          function _typeHash() internal view virtual returns (bytes32);
          /**
           * @dev Extracts the signature deadline from extra calldata.
           *
           * This function returns bogus data if no signature is included.
           */
          function _deadline() internal pure returns (uint256) {
              // The deadline is the first extra argument at the end of the original calldata.
              return uint256(_decodeExtraCalldataWord(0));
          }
          /**
           * @dev Extracts the signature parameters from extra calldata.
           *
           * This function returns bogus data if no signature is included. This is not a security risk, as that data would not
           * be considered a valid signature in the first place.
           */
          function _signature()
              internal
              pure
              returns (
                  uint8 v,
                  bytes32 r,
                  bytes32 s
              )
          {
              // v, r and s are appended after the signature deadline, in that order.
              v = uint8(uint256(_decodeExtraCalldataWord(0x20)));
              r = _decodeExtraCalldataWord(0x40);
              s = _decodeExtraCalldataWord(0x60);
          }
          /**
           * @dev Returns the original calldata, without the extra bytes containing the signature.
           *
           * This function returns bogus data if no signature is included.
           */
          function _calldata() internal pure returns (bytes memory result) {
              result = msg.data; // A calldata to memory assignment results in memory allocation and copy of contents.
              if (result.length > _EXTRA_CALLDATA_LENGTH) {
                  // solhint-disable-next-line no-inline-assembly
                  assembly {
                      // We simply overwrite the array length with the reduced one.
                      mstore(result, sub(calldatasize(), _EXTRA_CALLDATA_LENGTH))
                  }
              }
          }
          /**
           * @dev Returns a 256 bit word from 'extra' calldata, at some offset from the expected end of the original calldata.
           *
           * This function returns bogus data if no signature is included.
           */
          function _decodeExtraCalldataWord(uint256 offset) private pure returns (bytes32 result) {
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  result := calldataload(add(sub(calldatasize(), _EXTRA_CALLDATA_LENGTH), offset))
              }
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      // Based on the ReentrancyGuard library from OpenZeppelin contracts, altered to reduce bytecode size.
      // Modifier code is inlined by the compiler, which causes its code to appear multiple times in the codebase. By using
      // private functions, we achieve the same end result with slightly higher runtime gas costs but reduced bytecode size.
      /**
       * @dev Contract module that helps prevent reentrant calls to a function.
       *
       * Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier
       * available, which can be applied to functions to make sure there are no nested
       * (reentrant) calls to them.
       *
       * Note that because there is a single `nonReentrant` guard, functions marked as
       * `nonReentrant` may not call one another. This can be worked around by making
       * those functions `private`, and then adding `external` `nonReentrant` entry
       * points to them.
       *
       * TIP: If you would like to learn more about reentrancy and alternative ways
       * to protect against it, check out our blog post
       * https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul].
       */
      abstract contract ReentrancyGuard {
          // Booleans are more expensive than uint256 or any type that takes up a full
          // word because each write operation emits an extra SLOAD to first read the
          // slot's contents, replace the bits taken up by the boolean, and then write
          // back. This is the compiler's defense against contract upgrades and
          // pointer aliasing, and it cannot be disabled.
          // The values being non-zero value makes deployment a bit more expensive,
          // but in exchange the refund on every call to nonReentrant will be lower in
          // amount. Since refunds are capped to a percentage of the total
          // transaction's gas, it is best to keep them low in cases like this one, to
          // increase the likelihood of the full refund coming into effect.
          uint256 private constant _NOT_ENTERED = 1;
          uint256 private constant _ENTERED = 2;
          uint256 private _status;
          constructor() {
              _status = _NOT_ENTERED;
          }
          /**
           * @dev Prevents a contract from calling itself, directly or indirectly.
           * Calling a `nonReentrant` function from another `nonReentrant`
           * function is not supported. It is possible to prevent this from happening
           * by making the `nonReentrant` function external, and make it call a
           * `private` function that does the actual work.
           */
          modifier nonReentrant() {
              _enterNonReentrant();
              _;
              _exitNonReentrant();
          }
          function _enterNonReentrant() private {
              // On the first call to nonReentrant, _status will be _NOT_ENTERED
              _require(_status != _ENTERED, Errors.REENTRANCY);
              // Any calls to nonReentrant after this point will fail
              _status = _ENTERED;
          }
          function _exitNonReentrant() private {
              // By storing the original value once again, a refund is triggered (see
              // https://eips.ethereum.org/EIPS/eip-2200)
              _status = _NOT_ENTERED;
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma experimental ABIEncoderV2;
      import "../../lib/openzeppelin/IERC20.sol";
      import "./IWETH.sol";
      import "./IAsset.sol";
      import "./IAuthorizer.sol";
      import "./IFlashLoanRecipient.sol";
      import "../ProtocolFeesCollector.sol";
      import "../../lib/helpers/ISignaturesValidator.sol";
      import "../../lib/helpers/ITemporarilyPausable.sol";
      pragma solidity ^0.7.0;
      /**
       * @dev Full external interface for the Vault core contract - no external or public methods exist in the contract that
       * don't override one of these declarations.
       */
      interface IVault is ISignaturesValidator, ITemporarilyPausable {
          // Generalities about the Vault:
          //
          // - Whenever documentation refers to 'tokens', it strictly refers to ERC20-compliant token contracts. Tokens are
          // transferred out of the Vault by calling the `IERC20.transfer` function, and transferred in by calling
          // `IERC20.transferFrom`. In these cases, the sender must have previously allowed the Vault to use their tokens by
          // calling `IERC20.approve`. The only deviation from the ERC20 standard that is supported is functions not returning
          // a boolean value: in these scenarios, a non-reverting call is assumed to be successful.
          //
          // - All non-view functions in the Vault are non-reentrant: calling them while another one is mid-execution (e.g.
          // while execution control is transferred to a token contract during a swap) will result in a revert. View
          // functions can be called in a re-reentrant way, but doing so might cause them to return inconsistent results.
          // Contracts calling view functions in the Vault must make sure the Vault has not already been entered.
          //
          // - View functions revert if referring to either unregistered Pools, or unregistered tokens for registered Pools.
          // Authorizer
          //
          // Some system actions are permissioned, like setting and collecting protocol fees. This permissioning system exists
          // outside of the Vault in the Authorizer contract: the Vault simply calls the Authorizer to check if the caller
          // can perform a given action.
          /**
           * @dev Returns the Vault's Authorizer.
           */
          function getAuthorizer() external view returns (IAuthorizer);
          /**
           * @dev Sets a new Authorizer for the Vault. The caller must be allowed by the current Authorizer to do this.
           *
           * Emits an `AuthorizerChanged` event.
           */
          function setAuthorizer(IAuthorizer newAuthorizer) external;
          /**
           * @dev Emitted when a new authorizer is set by `setAuthorizer`.
           */
          event AuthorizerChanged(IAuthorizer indexed newAuthorizer);
          // Relayers
          //
          // Additionally, it is possible for an account to perform certain actions on behalf of another one, using their
          // Vault ERC20 allowance and Internal Balance. These accounts are said to be 'relayers' for these Vault functions,
          // and are expected to be smart contracts with sound authentication mechanisms. For an account to be able to wield
          // this power, two things must occur:
          //  - The Authorizer must grant the account the permission to be a relayer for the relevant Vault function. This
          //    means that Balancer governance must approve each individual contract to act as a relayer for the intended
          //    functions.
          //  - Each user must approve the relayer to act on their behalf.
          // This double protection means users cannot be tricked into approving malicious relayers (because they will not
          // have been allowed by the Authorizer via governance), nor can malicious relayers approved by a compromised
          // Authorizer or governance drain user funds, since they would also need to be approved by each individual user.
          /**
           * @dev Returns true if `user` has approved `relayer` to act as a relayer for them.
           */
          function hasApprovedRelayer(address user, address relayer) external view returns (bool);
          /**
           * @dev Allows `relayer` to act as a relayer for `sender` if `approved` is true, and disallows it otherwise.
           *
           * Emits a `RelayerApprovalChanged` event.
           */
          function setRelayerApproval(
              address sender,
              address relayer,
              bool approved
          ) external;
          /**
           * @dev Emitted every time a relayer is approved or disapproved by `setRelayerApproval`.
           */
          event RelayerApprovalChanged(address indexed relayer, address indexed sender, bool approved);
          // Internal Balance
          //
          // Users can deposit tokens into the Vault, where they are allocated to their Internal Balance, and later
          // transferred or withdrawn. It can also be used as a source of tokens when joining Pools, as a destination
          // when exiting them, and as either when performing swaps. This usage of Internal Balance results in greatly reduced
          // gas costs when compared to relying on plain ERC20 transfers, leading to large savings for frequent users.
          //
          // Internal Balance management features batching, which means a single contract call can be used to perform multiple
          // operations of different kinds, with different senders and recipients, at once.
          /**
           * @dev Returns `user`'s Internal Balance for a set of tokens.
           */
          function getInternalBalance(address user, IERC20[] memory tokens) external view returns (uint256[] memory);
          /**
           * @dev Performs a set of user balance operations, which involve Internal Balance (deposit, withdraw or transfer)
           * and plain ERC20 transfers using the Vault's allowance. This last feature is particularly useful for relayers, as
           * it lets integrators reuse a user's Vault allowance.
           *
           * For each operation, if the caller is not `sender`, it must be an authorized relayer for them.
           */
          function manageUserBalance(UserBalanceOp[] memory ops) external payable;
          /**
           * @dev Data for `manageUserBalance` operations, which include the possibility for ETH to be sent and received
           without manual WETH wrapping or unwrapping.
           */
          struct UserBalanceOp {
              UserBalanceOpKind kind;
              IAsset asset;
              uint256 amount;
              address sender;
              address payable recipient;
          }
          // There are four possible operations in `manageUserBalance`:
          //
          // - DEPOSIT_INTERNAL
          // Increases the Internal Balance of the `recipient` account by transferring tokens from the corresponding
          // `sender`. The sender must have allowed the Vault to use their tokens via `IERC20.approve()`.
          //
          // ETH can be used by passing the ETH sentinel value as the asset and forwarding ETH in the call: it will be wrapped
          // and deposited as WETH. Any ETH amount remaining will be sent back to the caller (not the sender, which is
          // relevant for relayers).
          //
          // Emits an `InternalBalanceChanged` event.
          //
          //
          // - WITHDRAW_INTERNAL
          // Decreases the Internal Balance of the `sender` account by transferring tokens to the `recipient`.
          //
          // ETH can be used by passing the ETH sentinel value as the asset. This will deduct WETH instead, unwrap it and send
          // it to the recipient as ETH.
          //
          // Emits an `InternalBalanceChanged` event.
          //
          //
          // - TRANSFER_INTERNAL
          // Transfers tokens from the Internal Balance of the `sender` account to the Internal Balance of `recipient`.
          //
          // Reverts if the ETH sentinel value is passed.
          //
          // Emits an `InternalBalanceChanged` event.
          //
          //
          // - TRANSFER_EXTERNAL
          // Transfers tokens from `sender` to `recipient`, using the Vault's ERC20 allowance. This is typically used by
          // relayers, as it lets them reuse a user's Vault allowance.
          //
          // Reverts if the ETH sentinel value is passed.
          //
          // Emits an `ExternalBalanceTransfer` event.
          enum UserBalanceOpKind { DEPOSIT_INTERNAL, WITHDRAW_INTERNAL, TRANSFER_INTERNAL, TRANSFER_EXTERNAL }
          /**
           * @dev Emitted when a user's Internal Balance changes, either from calls to `manageUserBalance`, or through
           * interacting with Pools using Internal Balance.
           *
           * Because Internal Balance works exclusively with ERC20 tokens, ETH deposits and withdrawals will use the WETH
           * address.
           */
          event InternalBalanceChanged(address indexed user, IERC20 indexed token, int256 delta);
          /**
           * @dev Emitted when a user's Vault ERC20 allowance is used by the Vault to transfer tokens to an external account.
           */
          event ExternalBalanceTransfer(IERC20 indexed token, address indexed sender, address recipient, uint256 amount);
          // Pools
          //
          // There are three specialization settings for Pools, which allow for cheaper swaps at the cost of reduced
          // functionality:
          //
          //  - General: no specialization, suited for all Pools. IGeneralPool is used for swap request callbacks, passing the
          // balance of all tokens in the Pool. These Pools have the largest swap costs (because of the extra storage reads),
          // which increase with the number of registered tokens.
          //
          //  - Minimal Swap Info: IMinimalSwapInfoPool is used instead of IGeneralPool, which saves gas by only passing the
          // balance of the two tokens involved in the swap. This is suitable for some pricing algorithms, like the weighted
          // constant product one popularized by Balancer V1. Swap costs are smaller compared to general Pools, and are
          // independent of the number of registered tokens.
          //
          //  - Two Token: only allows two tokens to be registered. This achieves the lowest possible swap gas cost. Like
          // minimal swap info Pools, these are called via IMinimalSwapInfoPool.
          enum PoolSpecialization { GENERAL, MINIMAL_SWAP_INFO, TWO_TOKEN }
          /**
           * @dev Registers the caller account as a Pool with a given specialization setting. Returns the Pool's ID, which
           * is used in all Pool-related functions. Pools cannot be deregistered, nor can the Pool's specialization be
           * changed.
           *
           * The caller is expected to be a smart contract that implements either `IGeneralPool` or `IMinimalSwapInfoPool`,
           * depending on the chosen specialization setting. This contract is known as the Pool's contract.
           *
           * Note that the same contract may register itself as multiple Pools with unique Pool IDs, or in other words,
           * multiple Pools may share the same contract.
           *
           * Emits a `PoolRegistered` event.
           */
          function registerPool(PoolSpecialization specialization) external returns (bytes32);
          /**
           * @dev Emitted when a Pool is registered by calling `registerPool`.
           */
          event PoolRegistered(bytes32 indexed poolId, address indexed poolAddress, PoolSpecialization specialization);
          /**
           * @dev Returns a Pool's contract address and specialization setting.
           */
          function getPool(bytes32 poolId) external view returns (address, PoolSpecialization);
          /**
           * @dev Registers `tokens` for the `poolId` Pool. Must be called by the Pool's contract.
           *
           * Pools can only interact with tokens they have registered. Users join a Pool by transferring registered tokens,
           * exit by receiving registered tokens, and can only swap registered tokens.
           *
           * Each token can only be registered once. For Pools with the Two Token specialization, `tokens` must have a length
           * of two, that is, both tokens must be registered in the same `registerTokens` call, and they must be sorted in
           * ascending order.
           *
           * The `tokens` and `assetManagers` arrays must have the same length, and each entry in these indicates the Asset
           * Manager for the corresponding token. Asset Managers can manage a Pool's tokens via `managePoolBalance`,
           * depositing and withdrawing them directly, and can even set their balance to arbitrary amounts. They are therefore
           * expected to be highly secured smart contracts with sound design principles, and the decision to register an
           * Asset Manager should not be made lightly.
           *
           * Pools can choose not to assign an Asset Manager to a given token by passing in the zero address. Once an Asset
           * Manager is set, it cannot be changed except by deregistering the associated token and registering again with a
           * different Asset Manager.
           *
           * Emits a `TokensRegistered` event.
           */
          function registerTokens(
              bytes32 poolId,
              IERC20[] memory tokens,
              address[] memory assetManagers
          ) external;
          /**
           * @dev Emitted when a Pool registers tokens by calling `registerTokens`.
           */
          event TokensRegistered(bytes32 indexed poolId, IERC20[] tokens, address[] assetManagers);
          /**
           * @dev Deregisters `tokens` for the `poolId` Pool. Must be called by the Pool's contract.
           *
           * Only registered tokens (via `registerTokens`) can be deregistered. Additionally, they must have zero total
           * balance. For Pools with the Two Token specialization, `tokens` must have a length of two, that is, both tokens
           * must be deregistered in the same `deregisterTokens` call.
           *
           * A deregistered token can be re-registered later on, possibly with a different Asset Manager.
           *
           * Emits a `TokensDeregistered` event.
           */
          function deregisterTokens(bytes32 poolId, IERC20[] memory tokens) external;
          /**
           * @dev Emitted when a Pool deregisters tokens by calling `deregisterTokens`.
           */
          event TokensDeregistered(bytes32 indexed poolId, IERC20[] tokens);
          /**
           * @dev Returns detailed information for a Pool's registered token.
           *
           * `cash` is the number of tokens the Vault currently holds for the Pool. `managed` is the number of tokens
           * withdrawn and held outside the Vault by the Pool's token Asset Manager. The Pool's total balance for `token`
           * equals the sum of `cash` and `managed`.
           *
           * Internally, `cash` and `managed` are stored using 112 bits. No action can ever cause a Pool's token `cash`,
           * `managed` or `total` balance to be greater than 2^112 - 1.
           *
           * `lastChangeBlock` is the number of the block in which `token`'s total balance was last modified (via either a
           * join, exit, swap, or Asset Manager update). This value is useful to avoid so-called 'sandwich attacks', for
           * example when developing price oracles. A change of zero (e.g. caused by a swap with amount zero) is considered a
           * change for this purpose, and will update `lastChangeBlock`.
           *
           * `assetManager` is the Pool's token Asset Manager.
           */
          function getPoolTokenInfo(bytes32 poolId, IERC20 token)
              external
              view
              returns (
                  uint256 cash,
                  uint256 managed,
                  uint256 lastChangeBlock,
                  address assetManager
              );
          /**
           * @dev Returns a Pool's registered tokens, the total balance for each, and the latest block when *any* of
           * the tokens' `balances` changed.
           *
           * The order of the `tokens` array is the same order that will be used in `joinPool`, `exitPool`, as well as in all
           * Pool hooks (where applicable). Calls to `registerTokens` and `deregisterTokens` may change this order.
           *
           * If a Pool only registers tokens once, and these are sorted in ascending order, they will be stored in the same
           * order as passed to `registerTokens`.
           *
           * Total balances include both tokens held by the Vault and those withdrawn by the Pool's Asset Managers. These are
           * the amounts used by joins, exits and swaps. For a detailed breakdown of token balances, use `getPoolTokenInfo`
           * instead.
           */
          function getPoolTokens(bytes32 poolId)
              external
              view
              returns (
                  IERC20[] memory tokens,
                  uint256[] memory balances,
                  uint256 lastChangeBlock
              );
          /**
           * @dev Called by users to join a Pool, which transfers tokens from `sender` into the Pool's balance. This will
           * trigger custom Pool behavior, which will typically grant something in return to `recipient` - often tokenized
           * Pool shares.
           *
           * If the caller is not `sender`, it must be an authorized relayer for them.
           *
           * The `assets` and `maxAmountsIn` arrays must have the same length, and each entry indicates the maximum amount
           * to send for each asset. The amounts to send are decided by the Pool and not the Vault: it just enforces
           * these maximums.
           *
           * If joining a Pool that holds WETH, it is possible to send ETH directly: the Vault will do the wrapping. To enable
           * this mechanism, the IAsset sentinel value (the zero address) must be passed in the `assets` array instead of the
           * WETH address. Note that it is not possible to combine ETH and WETH in the same join. Any excess ETH will be sent
           * back to the caller (not the sender, which is important for relayers).
           *
           * `assets` must have the same length and order as the array returned by `getPoolTokens`. This prevents issues when
           * interacting with Pools that register and deregister tokens frequently. If sending ETH however, the array must be
           * sorted *before* replacing the WETH address with the ETH sentinel value (the zero address), which means the final
           * `assets` array might not be sorted. Pools with no registered tokens cannot be joined.
           *
           * If `fromInternalBalance` is true, the caller's Internal Balance will be preferred: ERC20 transfers will only
           * be made for the difference between the requested amount and Internal Balance (if any). Note that ETH cannot be
           * withdrawn from Internal Balance: attempting to do so will trigger a revert.
           *
           * This causes the Vault to call the `IBasePool.onJoinPool` hook on the Pool's contract, where Pools implement
           * their own custom logic. This typically requires additional information from the user (such as the expected number
           * of Pool shares). This can be encoded in the `userData` argument, which is ignored by the Vault and passed
           * directly to the Pool's contract, as is `recipient`.
           *
           * Emits a `PoolBalanceChanged` event.
           */
          function joinPool(
              bytes32 poolId,
              address sender,
              address recipient,
              JoinPoolRequest memory request
          ) external payable;
          struct JoinPoolRequest {
              IAsset[] assets;
              uint256[] maxAmountsIn;
              bytes userData;
              bool fromInternalBalance;
          }
          /**
           * @dev Called by users to exit a Pool, which transfers tokens from the Pool's balance to `recipient`. This will
           * trigger custom Pool behavior, which will typically ask for something in return from `sender` - often tokenized
           * Pool shares. The amount of tokens that can be withdrawn is limited by the Pool's `cash` balance (see
           * `getPoolTokenInfo`).
           *
           * If the caller is not `sender`, it must be an authorized relayer for them.
           *
           * The `tokens` and `minAmountsOut` arrays must have the same length, and each entry in these indicates the minimum
           * token amount to receive for each token contract. The amounts to send are decided by the Pool and not the Vault:
           * it just enforces these minimums.
           *
           * If exiting a Pool that holds WETH, it is possible to receive ETH directly: the Vault will do the unwrapping. To
           * enable this mechanism, the IAsset sentinel value (the zero address) must be passed in the `assets` array instead
           * of the WETH address. Note that it is not possible to combine ETH and WETH in the same exit.
           *
           * `assets` must have the same length and order as the array returned by `getPoolTokens`. This prevents issues when
           * interacting with Pools that register and deregister tokens frequently. If receiving ETH however, the array must
           * be sorted *before* replacing the WETH address with the ETH sentinel value (the zero address), which means the
           * final `assets` array might not be sorted. Pools with no registered tokens cannot be exited.
           *
           * If `toInternalBalance` is true, the tokens will be deposited to `recipient`'s Internal Balance. Otherwise,
           * an ERC20 transfer will be performed. Note that ETH cannot be deposited to Internal Balance: attempting to
           * do so will trigger a revert.
           *
           * `minAmountsOut` is the minimum amount of tokens the user expects to get out of the Pool, for each token in the
           * `tokens` array. This array must match the Pool's registered tokens.
           *
           * This causes the Vault to call the `IBasePool.onExitPool` hook on the Pool's contract, where Pools implement
           * their own custom logic. This typically requires additional information from the user (such as the expected number
           * of Pool shares to return). This can be encoded in the `userData` argument, which is ignored by the Vault and
           * passed directly to the Pool's contract.
           *
           * Emits a `PoolBalanceChanged` event.
           */
          function exitPool(
              bytes32 poolId,
              address sender,
              address payable recipient,
              ExitPoolRequest memory request
          ) external;
          struct ExitPoolRequest {
              IAsset[] assets;
              uint256[] minAmountsOut;
              bytes userData;
              bool toInternalBalance;
          }
          /**
           * @dev Emitted when a user joins or exits a Pool by calling `joinPool` or `exitPool`, respectively.
           */
          event PoolBalanceChanged(
              bytes32 indexed poolId,
              address indexed liquidityProvider,
              IERC20[] tokens,
              int256[] deltas,
              uint256[] protocolFeeAmounts
          );
          enum PoolBalanceChangeKind { JOIN, EXIT }
          // Swaps
          //
          // Users can swap tokens with Pools by calling the `swap` and `batchSwap` functions. To do this,
          // they need not trust Pool contracts in any way: all security checks are made by the Vault. They must however be
          // aware of the Pools' pricing algorithms in order to estimate the prices Pools will quote.
          //
          // The `swap` function executes a single swap, while `batchSwap` can perform multiple swaps in sequence.
          // In each individual swap, tokens of one kind are sent from the sender to the Pool (this is the 'token in'),
          // and tokens of another kind are sent from the Pool to the recipient in exchange (this is the 'token out').
          // More complex swaps, such as one token in to multiple tokens out can be achieved by batching together
          // individual swaps.
          //
          // There are two swap kinds:
          //  - 'given in' swaps, where the amount of tokens in (sent to the Pool) is known, and the Pool determines (via the
          // `onSwap` hook) the amount of tokens out (to send to the recipient).
          //  - 'given out' swaps, where the amount of tokens out (received from the Pool) is known, and the Pool determines
          // (via the `onSwap` hook) the amount of tokens in (to receive from the sender).
          //
          // Additionally, it is possible to chain swaps using a placeholder input amount, which the Vault replaces with
          // the calculated output of the previous swap. If the previous swap was 'given in', this will be the calculated
          // tokenOut amount. If the previous swap was 'given out', it will use the calculated tokenIn amount. These extended
          // swaps are known as 'multihop' swaps, since they 'hop' through a number of intermediate tokens before arriving at
          // the final intended token.
          //
          // In all cases, tokens are only transferred in and out of the Vault (or withdrawn from and deposited into Internal
          // Balance) after all individual swaps have been completed, and the net token balance change computed. This makes
          // certain swap patterns, such as multihops, or swaps that interact with the same token pair in multiple Pools, cost
          // much less gas than they would otherwise.
          //
          // It also means that under certain conditions it is possible to perform arbitrage by swapping with multiple
          // Pools in a way that results in net token movement out of the Vault (profit), with no tokens being sent in (only
          // updating the Pool's internal accounting).
          //
          // To protect users from front-running or the market changing rapidly, they supply a list of 'limits' for each token
          // involved in the swap, where either the maximum number of tokens to send (by passing a positive value) or the
          // minimum amount of tokens to receive (by passing a negative value) is specified.
          //
          // Additionally, a 'deadline' timestamp can also be provided, forcing the swap to fail if it occurs after
          // this point in time (e.g. if the transaction failed to be included in a block promptly).
          //
          // If interacting with Pools that hold WETH, it is possible to both send and receive ETH directly: the Vault will do
          // the wrapping and unwrapping. To enable this mechanism, the IAsset sentinel value (the zero address) must be
          // passed in the `assets` array instead of the WETH address. Note that it is possible to combine ETH and WETH in the
          // same swap. Any excess ETH will be sent back to the caller (not the sender, which is relevant for relayers).
          //
          // Finally, Internal Balance can be used when either sending or receiving tokens.
          enum SwapKind { GIVEN_IN, GIVEN_OUT }
          /**
           * @dev Performs a swap with a single Pool.
           *
           * If the swap is 'given in' (the number of tokens to send to the Pool is known), it returns the amount of tokens
           * taken from the Pool, which must be greater than or equal to `limit`.
           *
           * If the swap is 'given out' (the number of tokens to take from the Pool is known), it returns the amount of tokens
           * sent to the Pool, which must be less than or equal to `limit`.
           *
           * Internal Balance usage and the recipient are determined by the `funds` struct.
           *
           * Emits a `Swap` event.
           */
          function swap(
              SingleSwap memory singleSwap,
              FundManagement memory funds,
              uint256 limit,
              uint256 deadline
          ) external payable returns (uint256);
          /**
           * @dev Data for a single swap executed by `swap`. `amount` is either `amountIn` or `amountOut` depending on
           * the `kind` value.
           *
           * `assetIn` and `assetOut` are either token addresses, or the IAsset sentinel value for ETH (the zero address).
           * Note that Pools never interact with ETH directly: it will be wrapped to or unwrapped from WETH by the Vault.
           *
           * The `userData` field is ignored by the Vault, but forwarded to the Pool in the `onSwap` hook, and may be
           * used to extend swap behavior.
           */
          struct SingleSwap {
              bytes32 poolId;
              SwapKind kind;
              IAsset assetIn;
              IAsset assetOut;
              uint256 amount;
              bytes userData;
          }
          /**
           * @dev Performs a series of swaps with one or multiple Pools. In each individual swap, the caller determines either
           * the amount of tokens sent to or received from the Pool, depending on the `kind` value.
           *
           * Returns an array with the net Vault asset balance deltas. Positive amounts represent tokens (or ETH) sent to the
           * Vault, and negative amounts represent tokens (or ETH) sent by the Vault. Each delta corresponds to the asset at
           * the same index in the `assets` array.
           *
           * Swaps are executed sequentially, in the order specified by the `swaps` array. Each array element describes a
           * Pool, the token to be sent to this Pool, the token to receive from it, and an amount that is either `amountIn` or
           * `amountOut` depending on the swap kind.
           *
           * Multihop swaps can be executed by passing an `amount` value of zero for a swap. This will cause the amount in/out
           * of the previous swap to be used as the amount in for the current one. In a 'given in' swap, 'tokenIn' must equal
           * the previous swap's `tokenOut`. For a 'given out' swap, `tokenOut` must equal the previous swap's `tokenIn`.
           *
           * The `assets` array contains the addresses of all assets involved in the swaps. These are either token addresses,
           * or the IAsset sentinel value for ETH (the zero address). Each entry in the `swaps` array specifies tokens in and
           * out by referencing an index in `assets`. Note that Pools never interact with ETH directly: it will be wrapped to
           * or unwrapped from WETH by the Vault.
           *
           * Internal Balance usage, sender, and recipient are determined by the `funds` struct. The `limits` array specifies
           * the minimum or maximum amount of each token the vault is allowed to transfer.
           *
           * `batchSwap` can be used to make a single swap, like `swap` does, but doing so requires more gas than the
           * equivalent `swap` call.
           *
           * Emits `Swap` events.
           */
          function batchSwap(
              SwapKind kind,
              BatchSwapStep[] memory swaps,
              IAsset[] memory assets,
              FundManagement memory funds,
              int256[] memory limits,
              uint256 deadline
          ) external payable returns (int256[] memory);
          /**
           * @dev Data for each individual swap executed by `batchSwap`. The asset in and out fields are indexes into the
           * `assets` array passed to that function, and ETH assets are converted to WETH.
           *
           * If `amount` is zero, the multihop mechanism is used to determine the actual amount based on the amount in/out
           * from the previous swap, depending on the swap kind.
           *
           * The `userData` field is ignored by the Vault, but forwarded to the Pool in the `onSwap` hook, and may be
           * used to extend swap behavior.
           */
          struct BatchSwapStep {
              bytes32 poolId;
              uint256 assetInIndex;
              uint256 assetOutIndex;
              uint256 amount;
              bytes userData;
          }
          /**
           * @dev Emitted for each individual swap performed by `swap` or `batchSwap`.
           */
          event Swap(
              bytes32 indexed poolId,
              IERC20 indexed tokenIn,
              IERC20 indexed tokenOut,
              uint256 amountIn,
              uint256 amountOut
          );
          /**
           * @dev All tokens in a swap are either sent from the `sender` account to the Vault, or from the Vault to the
           * `recipient` account.
           *
           * If the caller is not `sender`, it must be an authorized relayer for them.
           *
           * If `fromInternalBalance` is true, the `sender`'s Internal Balance will be preferred, performing an ERC20
           * transfer for the difference between the requested amount and the User's Internal Balance (if any). The `sender`
           * must have allowed the Vault to use their tokens via `IERC20.approve()`. This matches the behavior of
           * `joinPool`.
           *
           * If `toInternalBalance` is true, tokens will be deposited to `recipient`'s internal balance instead of
           * transferred. This matches the behavior of `exitPool`.
           *
           * Note that ETH cannot be deposited to or withdrawn from Internal Balance: attempting to do so will trigger a
           * revert.
           */
          struct FundManagement {
              address sender;
              bool fromInternalBalance;
              address payable recipient;
              bool toInternalBalance;
          }
          /**
           * @dev Simulates a call to `batchSwap`, returning an array of Vault asset deltas. Calls to `swap` cannot be
           * simulated directly, but an equivalent `batchSwap` call can and will yield the exact same result.
           *
           * Each element in the array corresponds to the asset at the same index, and indicates the number of tokens (or ETH)
           * the Vault would take from the sender (if positive) or send to the recipient (if negative). The arguments it
           * receives are the same that an equivalent `batchSwap` call would receive.
           *
           * Unlike `batchSwap`, this function performs no checks on the sender or recipient field in the `funds` struct.
           * This makes it suitable to be called by off-chain applications via eth_call without needing to hold tokens,
           * approve them for the Vault, or even know a user's address.
           *
           * Note that this function is not 'view' (due to implementation details): the client code must explicitly execute
           * eth_call instead of eth_sendTransaction.
           */
          function queryBatchSwap(
              SwapKind kind,
              BatchSwapStep[] memory swaps,
              IAsset[] memory assets,
              FundManagement memory funds
          ) external returns (int256[] memory assetDeltas);
          // Flash Loans
          /**
           * @dev Performs a 'flash loan', sending tokens to `recipient`, executing the `receiveFlashLoan` hook on it,
           * and then reverting unless the tokens plus a proportional protocol fee have been returned.
           *
           * The `tokens` and `amounts` arrays must have the same length, and each entry in these indicates the loan amount
           * for each token contract. `tokens` must be sorted in ascending order.
           *
           * The 'userData' field is ignored by the Vault, and forwarded as-is to `recipient` as part of the
           * `receiveFlashLoan` call.
           *
           * Emits `FlashLoan` events.
           */
          function flashLoan(
              IFlashLoanRecipient recipient,
              IERC20[] memory tokens,
              uint256[] memory amounts,
              bytes memory userData
          ) external;
          /**
           * @dev Emitted for each individual flash loan performed by `flashLoan`.
           */
          event FlashLoan(IFlashLoanRecipient indexed recipient, IERC20 indexed token, uint256 amount, uint256 feeAmount);
          // Asset Management
          //
          // Each token registered for a Pool can be assigned an Asset Manager, which is able to freely withdraw the Pool's
          // tokens from the Vault, deposit them, or assign arbitrary values to its `managed` balance (see
          // `getPoolTokenInfo`). This makes them extremely powerful and dangerous. Even if an Asset Manager only directly
          // controls one of the tokens in a Pool, a malicious manager could set that token's balance to manipulate the
          // prices of the other tokens, and then drain the Pool with swaps. The risk of using Asset Managers is therefore
          // not constrained to the tokens they are managing, but extends to the entire Pool's holdings.
          //
          // However, a properly designed Asset Manager smart contract can be safely used for the Pool's benefit,
          // for example by lending unused tokens out for interest, or using them to participate in voting protocols.
          //
          // This concept is unrelated to the IAsset interface.
          /**
           * @dev Performs a set of Pool balance operations, which may be either withdrawals, deposits or updates.
           *
           * Pool Balance management features batching, which means a single contract call can be used to perform multiple
           * operations of different kinds, with different Pools and tokens, at once.
           *
           * For each operation, the caller must be registered as the Asset Manager for `token` in `poolId`.
           */
          function managePoolBalance(PoolBalanceOp[] memory ops) external;
          struct PoolBalanceOp {
              PoolBalanceOpKind kind;
              bytes32 poolId;
              IERC20 token;
              uint256 amount;
          }
          /**
           * Withdrawals decrease the Pool's cash, but increase its managed balance, leaving the total balance unchanged.
           *
           * Deposits increase the Pool's cash, but decrease its managed balance, leaving the total balance unchanged.
           *
           * Updates don't affect the Pool's cash balance, but because the managed balance changes, it does alter the total.
           * The external amount can be either increased or decreased by this call (i.e., reporting a gain or a loss).
           */
          enum PoolBalanceOpKind { WITHDRAW, DEPOSIT, UPDATE }
          /**
           * @dev Emitted when a Pool's token Asset Manager alters its balance via `managePoolBalance`.
           */
          event PoolBalanceManaged(
              bytes32 indexed poolId,
              address indexed assetManager,
              IERC20 indexed token,
              int256 cashDelta,
              int256 managedDelta
          );
          // Protocol Fees
          //
          // Some operations cause the Vault to collect tokens in the form of protocol fees, which can then be withdrawn by
          // permissioned accounts.
          //
          // There are two kinds of protocol fees:
          //
          //  - flash loan fees: charged on all flash loans, as a percentage of the amounts lent.
          //
          //  - swap fees: a percentage of the fees charged by Pools when performing swaps. For a number of reasons, including
          // swap gas costs and interface simplicity, protocol swap fees are not charged on each individual swap. Rather,
          // Pools are expected to keep track of how much they have charged in swap fees, and pay any outstanding debts to the
          // Vault when they are joined or exited. This prevents users from joining a Pool with unpaid debt, as well as
          // exiting a Pool in debt without first paying their share.
          /**
           * @dev Returns the current protocol fee module.
           */
          function getProtocolFeesCollector() external view returns (ProtocolFeesCollector);
          /**
           * @dev Safety mechanism to pause most Vault operations in the event of an emergency - typically detection of an
           * error in some part of the system.
           *
           * The Vault can only be paused during an initial time period, after which pausing is forever disabled.
           *
           * While the contract is paused, the following features are disabled:
           * - depositing and transferring internal balance
           * - transferring external balance (using the Vault's allowance)
           * - swaps
           * - joining Pools
           * - Asset Manager interactions
           *
           * Internal Balance can still be withdrawn, and Pools exited.
           */
          function setPaused(bool paused) external;
          /**
           * @dev Returns the Vault's WETH instance.
           */
          function WETH() external view returns (IWETH);
          // solhint-disable-previous-line func-name-mixedcase
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      interface IAuthentication {
          /**
           * @dev Returns the action identifier associated with the external function described by `selector`.
           */
          function getActionId(bytes4 selector) external view returns (bytes32);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      /**
       * @dev Interface for the TemporarilyPausable helper.
       */
      interface ITemporarilyPausable {
          /**
           * @dev Emitted every time the pause state changes by `_setPaused`.
           */
          event PausedStateChanged(bool paused);
          /**
           * @dev Returns the current paused state.
           */
          function getPausedState()
              external
              view
              returns (
                  bool paused,
                  uint256 pauseWindowEndTime,
                  uint256 bufferPeriodEndTime
              );
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      /**
       * @dev Interface for the SignatureValidator helper, used to support meta-transactions.
       */
      interface ISignaturesValidator {
          /**
           * @dev Returns the EIP712 domain separator.
           */
          function getDomainSeparator() external view returns (bytes32);
          /**
           * @dev Returns the next nonce used by an address to sign messages.
           */
          function getNextNonce(address user) external view returns (uint256);
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      /**
       * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
       *
       * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
       * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
       * they need in their contracts using a combination of `abi.encode` and `keccak256`.
       *
       * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
       * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
       * ({_hashTypedDataV4}).
       *
       * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
       * the chain id to protect against replay attacks on an eventual fork of the chain.
       *
       * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
       * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
       *
       * _Available since v3.4._
       */
      abstract contract EIP712 {
          /* solhint-disable var-name-mixedcase */
          bytes32 private immutable _HASHED_NAME;
          bytes32 private immutable _HASHED_VERSION;
          bytes32 private immutable _TYPE_HASH;
          /* solhint-enable var-name-mixedcase */
          /**
           * @dev Initializes the domain separator and parameter caches.
           *
           * The meaning of `name` and `version` is specified in
           * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
           *
           * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
           * - `version`: the current major version of the signing domain.
           *
           * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
           * contract upgrade].
           */
          constructor(string memory name, string memory version) {
              _HASHED_NAME = keccak256(bytes(name));
              _HASHED_VERSION = keccak256(bytes(version));
              _TYPE_HASH = keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
          }
          /**
           * @dev Returns the domain separator for the current chain.
           */
          function _domainSeparatorV4() internal view virtual returns (bytes32) {
              return keccak256(abi.encode(_TYPE_HASH, _HASHED_NAME, _HASHED_VERSION, _getChainId(), address(this)));
          }
          /**
           * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
           * function returns the hash of the fully encoded EIP712 message for this domain.
           *
           * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
           *
           * ```solidity
           * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
           *     keccak256("Mail(address to,string contents)"),
           *     mailTo,
           *     keccak256(bytes(mailContents))
           * )));
           * address signer = ECDSA.recover(digest, signature);
           * ```
           */
          function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
              return keccak256(abi.encodePacked("\\x19\\x01", _domainSeparatorV4(), structHash));
          }
          function _getChainId() private view returns (uint256 chainId) {
              // Silence state mutability warning without generating bytecode.
              // See https://github.com/ethereum/solidity/issues/10090#issuecomment-741789128 and
              // https://github.com/ethereum/solidity/issues/2691
              this;
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  chainId := chainid()
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      /**
       * @dev This is an empty interface used to represent either ERC20-conforming token contracts or ETH (using the zero
       * address sentinel value). We're just relying on the fact that `interface` can be used to declare new address-like
       * types.
       *
       * This concept is unrelated to a Pool's Asset Managers.
       */
      interface IAsset {
          // solhint-disable-previous-line no-empty-blocks
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      // Inspired by Aave Protocol's IFlashLoanReceiver.
      import "../../lib/openzeppelin/IERC20.sol";
      interface IFlashLoanRecipient {
          /**
           * @dev When `flashLoan` is called on the Vault, it invokes the `receiveFlashLoan` hook on the recipient.
           *
           * At the time of the call, the Vault will have transferred `amounts` for `tokens` to the recipient. Before this
           * call returns, the recipient must have transferred `amounts` plus `feeAmounts` for each token back to the
           * Vault, or else the entire flash loan will revert.
           *
           * `userData` is the same value passed in the `IVault.flashLoan` call.
           */
          function receiveFlashLoan(
              IERC20[] memory tokens,
              uint256[] memory amounts,
              uint256[] memory feeAmounts,
              bytes memory userData
          ) external;
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/helpers/InputHelpers.sol";
      import "../lib/helpers/Authentication.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "./interfaces/IVault.sol";
      import "./interfaces/IAuthorizer.sol";
      /**
       * @dev This an auxiliary contract to the Vault, deployed by it during construction. It offloads some of the tasks the
       * Vault performs to reduce its overall bytecode size.
       *
       * The current values for all protocol fee percentages are stored here, and any tokens charged as protocol fees are
       * sent to this contract, where they may be withdrawn by authorized entities. All authorization tasks are delegated
       * to the Vault's own authorizer.
       */
      contract ProtocolFeesCollector is Authentication, ReentrancyGuard {
          using SafeERC20 for IERC20;
          // Absolute maximum fee percentages (1e18 = 100%, 1e16 = 1%).
          uint256 private constant _MAX_PROTOCOL_SWAP_FEE_PERCENTAGE = 50e16; // 50%
          uint256 private constant _MAX_PROTOCOL_FLASH_LOAN_FEE_PERCENTAGE = 1e16; // 1%
          IVault public immutable vault;
          // All fee percentages are 18-decimal fixed point numbers.
          // The swap fee is charged whenever a swap occurs, as a percentage of the fee charged by the Pool. These are not
          // actually charged on each individual swap: the `Vault` relies on the Pools being honest and reporting fees due
          // when users join and exit them.
          uint256 private _swapFeePercentage;
          // The flash loan fee is charged whenever a flash loan occurs, as a percentage of the tokens lent.
          uint256 private _flashLoanFeePercentage;
          event SwapFeePercentageChanged(uint256 newSwapFeePercentage);
          event FlashLoanFeePercentageChanged(uint256 newFlashLoanFeePercentage);
          constructor(IVault _vault)
              // The ProtocolFeesCollector is a singleton, so it simply uses its own address to disambiguate action
              // identifiers.
              Authentication(bytes32(uint256(address(this))))
          {
              vault = _vault;
          }
          function withdrawCollectedFees(
              IERC20[] calldata tokens,
              uint256[] calldata amounts,
              address recipient
          ) external nonReentrant authenticate {
              InputHelpers.ensureInputLengthMatch(tokens.length, amounts.length);
              for (uint256 i = 0; i < tokens.length; ++i) {
                  IERC20 token = tokens[i];
                  uint256 amount = amounts[i];
                  token.safeTransfer(recipient, amount);
              }
          }
          function setSwapFeePercentage(uint256 newSwapFeePercentage) external authenticate {
              _require(newSwapFeePercentage <= _MAX_PROTOCOL_SWAP_FEE_PERCENTAGE, Errors.SWAP_FEE_PERCENTAGE_TOO_HIGH);
              _swapFeePercentage = newSwapFeePercentage;
              emit SwapFeePercentageChanged(newSwapFeePercentage);
          }
          function setFlashLoanFeePercentage(uint256 newFlashLoanFeePercentage) external authenticate {
              _require(
                  newFlashLoanFeePercentage <= _MAX_PROTOCOL_FLASH_LOAN_FEE_PERCENTAGE,
                  Errors.FLASH_LOAN_FEE_PERCENTAGE_TOO_HIGH
              );
              _flashLoanFeePercentage = newFlashLoanFeePercentage;
              emit FlashLoanFeePercentageChanged(newFlashLoanFeePercentage);
          }
          function getSwapFeePercentage() external view returns (uint256) {
              return _swapFeePercentage;
          }
          function getFlashLoanFeePercentage() external view returns (uint256) {
              return _flashLoanFeePercentage;
          }
          function getCollectedFeeAmounts(IERC20[] memory tokens) external view returns (uint256[] memory feeAmounts) {
              feeAmounts = new uint256[](tokens.length);
              for (uint256 i = 0; i < tokens.length; ++i) {
                  feeAmounts[i] = tokens[i].balanceOf(address(this));
              }
          }
          function getAuthorizer() external view returns (IAuthorizer) {
              return _getAuthorizer();
          }
          function _canPerform(bytes32 actionId, address account) internal view override returns (bool) {
              return _getAuthorizer().canPerform(actionId, account, address(this));
          }
          function _getAuthorizer() internal view returns (IAuthorizer) {
              return vault.getAuthorizer();
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "../openzeppelin/IERC20.sol";
      import "./BalancerErrors.sol";
      import "../../vault/interfaces/IAsset.sol";
      library InputHelpers {
          function ensureInputLengthMatch(uint256 a, uint256 b) internal pure {
              _require(a == b, Errors.INPUT_LENGTH_MISMATCH);
          }
          function ensureInputLengthMatch(
              uint256 a,
              uint256 b,
              uint256 c
          ) internal pure {
              _require(a == b && b == c, Errors.INPUT_LENGTH_MISMATCH);
          }
          function ensureArrayIsSorted(IAsset[] memory array) internal pure {
              address[] memory addressArray;
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  addressArray := array
              }
              ensureArrayIsSorted(addressArray);
          }
          function ensureArrayIsSorted(IERC20[] memory array) internal pure {
              address[] memory addressArray;
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  addressArray := array
              }
              ensureArrayIsSorted(addressArray);
          }
          function ensureArrayIsSorted(address[] memory array) internal pure {
              if (array.length < 2) {
                  return;
              }
              address previous = array[0];
              for (uint256 i = 1; i < array.length; ++i) {
                  address current = array[i];
                  _require(previous < current, Errors.UNSORTED_ARRAY);
                  previous = current;
              }
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      import "./IERC20.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 {
          function safeTransfer(
              IERC20 token,
              address to,
              uint256 value
          ) internal {
              _callOptionalReturn(address(token), abi.encodeWithSelector(token.transfer.selector, to, value));
          }
          function safeTransferFrom(
              IERC20 token,
              address from,
              address to,
              uint256 value
          ) internal {
              _callOptionalReturn(address(token), abi.encodeWithSelector(token.transferFrom.selector, from, to, value));
          }
          /**
           * @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).
           *
           * WARNING: `token` is assumed to be a contract: calls to EOAs will *not* revert.
           */
          function _callOptionalReturn(address 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.
              (bool success, bytes memory returndata) = token.call(data);
              // If the low-level call didn't succeed we return whatever was returned from it.
              assembly {
                  if eq(success, 0) {
                      returndatacopy(0, 0, returndatasize())
                      revert(0, returndatasize())
                  }
              }
              // Finally we check the returndata size is either zero or true - note that this check will always pass for EOAs
              _require(returndata.length == 0 || abi.decode(returndata, (bool)), Errors.SAFE_ERC20_CALL_FAILED);
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/math/FixedPoint.sol";
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "./ProtocolFeesCollector.sol";
      import "./VaultAuthorization.sol";
      import "./interfaces/IVault.sol";
      /**
       * @dev To reduce the bytecode size of the Vault, most of the protocol fee logic is not here, but in the
       * ProtocolFeesCollector contract.
       */
      abstract contract Fees is IVault {
          using SafeERC20 for IERC20;
          ProtocolFeesCollector private immutable _protocolFeesCollector;
          constructor() {
              _protocolFeesCollector = new ProtocolFeesCollector(IVault(this));
          }
          function getProtocolFeesCollector() public view override returns (ProtocolFeesCollector) {
              return _protocolFeesCollector;
          }
          /**
           * @dev Returns the protocol swap fee percentage.
           */
          function _getProtocolSwapFeePercentage() internal view returns (uint256) {
              return getProtocolFeesCollector().getSwapFeePercentage();
          }
          /**
           * @dev Returns the protocol fee amount to charge for a flash loan of `amount`.
           */
          function _calculateFlashLoanFeeAmount(uint256 amount) internal view returns (uint256) {
              // Fixed point multiplication introduces error: we round up, which means in certain scenarios the charged
              // percentage can be slightly higher than intended.
              uint256 percentage = getProtocolFeesCollector().getFlashLoanFeePercentage();
              return FixedPoint.mulUp(amount, percentage);
          }
          function _payFeeAmount(IERC20 token, uint256 amount) internal {
              if (amount > 0) {
                  token.safeTransfer(address(getProtocolFeesCollector()), amount);
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "./LogExpMath.sol";
      import "../helpers/BalancerErrors.sol";
      /* solhint-disable private-vars-leading-underscore */
      library FixedPoint {
          uint256 internal constant ONE = 1e18; // 18 decimal places
          uint256 internal constant MAX_POW_RELATIVE_ERROR = 10000; // 10^(-14)
          // Minimum base for the power function when the exponent is 'free' (larger than ONE).
          uint256 internal constant MIN_POW_BASE_FREE_EXPONENT = 0.7e18;
          function add(uint256 a, uint256 b) internal pure returns (uint256) {
              // Fixed Point addition is the same as regular checked addition
              uint256 c = a + b;
              _require(c >= a, Errors.ADD_OVERFLOW);
              return c;
          }
          function sub(uint256 a, uint256 b) internal pure returns (uint256) {
              // Fixed Point addition is the same as regular checked addition
              _require(b <= a, Errors.SUB_OVERFLOW);
              uint256 c = a - b;
              return c;
          }
          function mulDown(uint256 a, uint256 b) internal pure returns (uint256) {
              uint256 product = a * b;
              _require(a == 0 || product / a == b, Errors.MUL_OVERFLOW);
              return product / ONE;
          }
          function mulUp(uint256 a, uint256 b) internal pure returns (uint256) {
              uint256 product = a * b;
              _require(a == 0 || product / a == b, Errors.MUL_OVERFLOW);
              if (product == 0) {
                  return 0;
              } else {
                  // The traditional divUp formula is:
                  // divUp(x, y) := (x + y - 1) / y
                  // To avoid intermediate overflow in the addition, we distribute the division and get:
                  // divUp(x, y) := (x - 1) / y + 1
                  // Note that this requires x != 0, which we already tested for.
                  return ((product - 1) / ONE) + 1;
              }
          }
          function divDown(uint256 a, uint256 b) internal pure returns (uint256) {
              _require(b != 0, Errors.ZERO_DIVISION);
              if (a == 0) {
                  return 0;
              } else {
                  uint256 aInflated = a * ONE;
                  _require(aInflated / a == ONE, Errors.DIV_INTERNAL); // mul overflow
                  return aInflated / b;
              }
          }
          function divUp(uint256 a, uint256 b) internal pure returns (uint256) {
              _require(b != 0, Errors.ZERO_DIVISION);
              if (a == 0) {
                  return 0;
              } else {
                  uint256 aInflated = a * ONE;
                  _require(aInflated / a == ONE, Errors.DIV_INTERNAL); // mul overflow
                  // The traditional divUp formula is:
                  // divUp(x, y) := (x + y - 1) / y
                  // To avoid intermediate overflow in the addition, we distribute the division and get:
                  // divUp(x, y) := (x - 1) / y + 1
                  // Note that this requires x != 0, which we already tested for.
                  return ((aInflated - 1) / b) + 1;
              }
          }
          /**
           * @dev Returns x^y, assuming both are fixed point numbers, rounding down. The result is guaranteed to not be above
           * the true value (that is, the error function expected - actual is always positive).
           */
          function powDown(uint256 x, uint256 y) internal pure returns (uint256) {
              uint256 raw = LogExpMath.pow(x, y);
              uint256 maxError = add(mulUp(raw, MAX_POW_RELATIVE_ERROR), 1);
              if (raw < maxError) {
                  return 0;
              } else {
                  return sub(raw, maxError);
              }
          }
          /**
           * @dev Returns x^y, assuming both are fixed point numbers, rounding up. The result is guaranteed to not be below
           * the true value (that is, the error function expected - actual is always negative).
           */
          function powUp(uint256 x, uint256 y) internal pure returns (uint256) {
              uint256 raw = LogExpMath.pow(x, y);
              uint256 maxError = add(mulUp(raw, MAX_POW_RELATIVE_ERROR), 1);
              return add(raw, maxError);
          }
          /**
           * @dev Returns the complement of a value (1 - x), capped to 0 if x is larger than 1.
           *
           * Useful when computing the complement for values with some level of relative error, as it strips this error and
           * prevents intermediate negative values.
           */
          function complement(uint256 x) internal pure returns (uint256) {
              return (x < ONE) ? (ONE - x) : 0;
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General internal License for more details.
      // You should have received a copy of the GNU General internal License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      /* solhint-disable */
      /**
       * @dev Exponentiation and logarithm functions for 18 decimal fixed point numbers (both base and exponent/argument).
       *
       * Exponentiation and logarithm with arbitrary bases (x^y and log_x(y)) are implemented by conversion to natural
       * exponentiation and logarithm (where the base is Euler's number).
       *
       * @author Fernando Martinelli - @fernandomartinelli
       * @author Sergio Yuhjtman - @sergioyuhjtman
       * @author Daniel Fernandez - @dmf7z
       */
      library LogExpMath {
          // All fixed point multiplications and divisions are inlined. This means we need to divide by ONE when multiplying
          // two numbers, and multiply by ONE when dividing them.
          // All arguments and return values are 18 decimal fixed point numbers.
          int256 constant ONE_18 = 1e18;
          // Internally, intermediate values are computed with higher precision as 20 decimal fixed point numbers, and in the
          // case of ln36, 36 decimals.
          int256 constant ONE_20 = 1e20;
          int256 constant ONE_36 = 1e36;
          // The domain of natural exponentiation is bound by the word size and number of decimals used.
          //
          // Because internally the result will be stored using 20 decimals, the largest possible result is
          // (2^255 - 1) / 10^20, which makes the largest exponent ln((2^255 - 1) / 10^20) = 130.700829182905140221.
          // The smallest possible result is 10^(-18), which makes largest negative argument
          // ln(10^(-18)) = -41.446531673892822312.
          // We use 130.0 and -41.0 to have some safety margin.
          int256 constant MAX_NATURAL_EXPONENT = 130e18;
          int256 constant MIN_NATURAL_EXPONENT = -41e18;
          // Bounds for ln_36's argument. Both ln(0.9) and ln(1.1) can be represented with 36 decimal places in a fixed point
          // 256 bit integer.
          int256 constant LN_36_LOWER_BOUND = ONE_18 - 1e17;
          int256 constant LN_36_UPPER_BOUND = ONE_18 + 1e17;
          uint256 constant MILD_EXPONENT_BOUND = 2**254 / uint256(ONE_20);
          // 18 decimal constants
          int256 constant x0 = 128000000000000000000; // 2ˆ7
          int256 constant a0 = 38877084059945950922200000000000000000000000000000000000; // eˆ(x0) (no decimals)
          int256 constant x1 = 64000000000000000000; // 2ˆ6
          int256 constant a1 = 6235149080811616882910000000; // eˆ(x1) (no decimals)
          // 20 decimal constants
          int256 constant x2 = 3200000000000000000000; // 2ˆ5
          int256 constant a2 = 7896296018268069516100000000000000; // eˆ(x2)
          int256 constant x3 = 1600000000000000000000; // 2ˆ4
          int256 constant a3 = 888611052050787263676000000; // eˆ(x3)
          int256 constant x4 = 800000000000000000000; // 2ˆ3
          int256 constant a4 = 298095798704172827474000; // eˆ(x4)
          int256 constant x5 = 400000000000000000000; // 2ˆ2
          int256 constant a5 = 5459815003314423907810; // eˆ(x5)
          int256 constant x6 = 200000000000000000000; // 2ˆ1
          int256 constant a6 = 738905609893065022723; // eˆ(x6)
          int256 constant x7 = 100000000000000000000; // 2ˆ0
          int256 constant a7 = 271828182845904523536; // eˆ(x7)
          int256 constant x8 = 50000000000000000000; // 2ˆ-1
          int256 constant a8 = 164872127070012814685; // eˆ(x8)
          int256 constant x9 = 25000000000000000000; // 2ˆ-2
          int256 constant a9 = 128402541668774148407; // eˆ(x9)
          int256 constant x10 = 12500000000000000000; // 2ˆ-3
          int256 constant a10 = 113314845306682631683; // eˆ(x10)
          int256 constant x11 = 6250000000000000000; // 2ˆ-4
          int256 constant a11 = 106449445891785942956; // eˆ(x11)
          /**
           * @dev Exponentiation (x^y) with unsigned 18 decimal fixed point base and exponent.
           *
           * Reverts if ln(x) * y is smaller than `MIN_NATURAL_EXPONENT`, or larger than `MAX_NATURAL_EXPONENT`.
           */
          function pow(uint256 x, uint256 y) internal pure returns (uint256) {
              if (y == 0) {
                  // We solve the 0^0 indetermination by making it equal one.
                  return uint256(ONE_18);
              }
              if (x == 0) {
                  return 0;
              }
              // Instead of computing x^y directly, we instead rely on the properties of logarithms and exponentiation to
              // arrive at that result. In particular, exp(ln(x)) = x, and ln(x^y) = y * ln(x). This means
              // x^y = exp(y * ln(x)).
              // The ln function takes a signed value, so we need to make sure x fits in the signed 256 bit range.
              _require(x < 2**255, Errors.X_OUT_OF_BOUNDS);
              int256 x_int256 = int256(x);
              // We will compute y * ln(x) in a single step. Depending on the value of x, we can either use ln or ln_36. In
              // both cases, we leave the division by ONE_18 (due to fixed point multiplication) to the end.
              // This prevents y * ln(x) from overflowing, and at the same time guarantees y fits in the signed 256 bit range.
              _require(y < MILD_EXPONENT_BOUND, Errors.Y_OUT_OF_BOUNDS);
              int256 y_int256 = int256(y);
              int256 logx_times_y;
              if (LN_36_LOWER_BOUND < x_int256 && x_int256 < LN_36_UPPER_BOUND) {
                  int256 ln_36_x = ln_36(x_int256);
                  // ln_36_x has 36 decimal places, so multiplying by y_int256 isn't as straightforward, since we can't just
                  // bring y_int256 to 36 decimal places, as it might overflow. Instead, we perform two 18 decimal
                  // multiplications and add the results: one with the first 18 decimals of ln_36_x, and one with the
                  // (downscaled) last 18 decimals.
                  logx_times_y = ((ln_36_x / ONE_18) * y_int256 + ((ln_36_x % ONE_18) * y_int256) / ONE_18);
              } else {
                  logx_times_y = ln(x_int256) * y_int256;
              }
              logx_times_y /= ONE_18;
              // Finally, we compute exp(y * ln(x)) to arrive at x^y
              _require(
                  MIN_NATURAL_EXPONENT <= logx_times_y && logx_times_y <= MAX_NATURAL_EXPONENT,
                  Errors.PRODUCT_OUT_OF_BOUNDS
              );
              return uint256(exp(logx_times_y));
          }
          /**
           * @dev Natural exponentiation (e^x) with signed 18 decimal fixed point exponent.
           *
           * Reverts if `x` is smaller than MIN_NATURAL_EXPONENT, or larger than `MAX_NATURAL_EXPONENT`.
           */
          function exp(int256 x) internal pure returns (int256) {
              _require(x >= MIN_NATURAL_EXPONENT && x <= MAX_NATURAL_EXPONENT, Errors.INVALID_EXPONENT);
              if (x < 0) {
                  // We only handle positive exponents: e^(-x) is computed as 1 / e^x. We can safely make x positive since it
                  // fits in the signed 256 bit range (as it is larger than MIN_NATURAL_EXPONENT).
                  // Fixed point division requires multiplying by ONE_18.
                  return ((ONE_18 * ONE_18) / exp(-x));
              }
              // First, we use the fact that e^(x+y) = e^x * e^y to decompose x into a sum of powers of two, which we call x_n,
              // where x_n == 2^(7 - n), and e^x_n = a_n has been precomputed. We choose the first x_n, x0, to equal 2^7
              // because all larger powers are larger than MAX_NATURAL_EXPONENT, and therefore not present in the
              // decomposition.
              // At the end of this process we will have the product of all e^x_n = a_n that apply, and the remainder of this
              // decomposition, which will be lower than the smallest x_n.
              // exp(x) = k_0 * a_0 * k_1 * a_1 * ... + k_n * a_n * exp(remainder), where each k_n equals either 0 or 1.
              // We mutate x by subtracting x_n, making it the remainder of the decomposition.
              // The first two a_n (e^(2^7) and e^(2^6)) are too large if stored as 18 decimal numbers, and could cause
              // intermediate overflows. Instead we store them as plain integers, with 0 decimals.
              // Additionally, x0 + x1 is larger than MAX_NATURAL_EXPONENT, which means they will not both be present in the
              // decomposition.
              // For each x_n, we test if that term is present in the decomposition (if x is larger than it), and if so deduct
              // it and compute the accumulated product.
              int256 firstAN;
              if (x >= x0) {
                  x -= x0;
                  firstAN = a0;
              } else if (x >= x1) {
                  x -= x1;
                  firstAN = a1;
              } else {
                  firstAN = 1; // One with no decimal places
              }
              // We now transform x into a 20 decimal fixed point number, to have enhanced precision when computing the
              // smaller terms.
              x *= 100;
              // `product` is the accumulated product of all a_n (except a0 and a1), which starts at 20 decimal fixed point
              // one. Recall that fixed point multiplication requires dividing by ONE_20.
              int256 product = ONE_20;
              if (x >= x2) {
                  x -= x2;
                  product = (product * a2) / ONE_20;
              }
              if (x >= x3) {
                  x -= x3;
                  product = (product * a3) / ONE_20;
              }
              if (x >= x4) {
                  x -= x4;
                  product = (product * a4) / ONE_20;
              }
              if (x >= x5) {
                  x -= x5;
                  product = (product * a5) / ONE_20;
              }
              if (x >= x6) {
                  x -= x6;
                  product = (product * a6) / ONE_20;
              }
              if (x >= x7) {
                  x -= x7;
                  product = (product * a7) / ONE_20;
              }
              if (x >= x8) {
                  x -= x8;
                  product = (product * a8) / ONE_20;
              }
              if (x >= x9) {
                  x -= x9;
                  product = (product * a9) / ONE_20;
              }
              // x10 and x11 are unnecessary here since we have high enough precision already.
              // Now we need to compute e^x, where x is small (in particular, it is smaller than x9). We use the Taylor series
              // expansion for e^x: 1 + x + (x^2 / 2!) + (x^3 / 3!) + ... + (x^n / n!).
              int256 seriesSum = ONE_20; // The initial one in the sum, with 20 decimal places.
              int256 term; // Each term in the sum, where the nth term is (x^n / n!).
              // The first term is simply x.
              term = x;
              seriesSum += term;
              // Each term (x^n / n!) equals the previous one times x, divided by n. Since x is a fixed point number,
              // multiplying by it requires dividing by ONE_20, but dividing by the non-fixed point n values does not.
              term = ((term * x) / ONE_20) / 2;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 3;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 4;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 5;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 6;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 7;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 8;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 9;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 10;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 11;
              seriesSum += term;
              term = ((term * x) / ONE_20) / 12;
              seriesSum += term;
              // 12 Taylor terms are sufficient for 18 decimal precision.
              // We now have the first a_n (with no decimals), and the product of all other a_n present, and the Taylor
              // approximation of the exponentiation of the remainder (both with 20 decimals). All that remains is to multiply
              // all three (one 20 decimal fixed point multiplication, dividing by ONE_20, and one integer multiplication),
              // and then drop two digits to return an 18 decimal value.
              return (((product * seriesSum) / ONE_20) * firstAN) / 100;
          }
          /**
           * @dev Natural logarithm (ln(a)) with signed 18 decimal fixed point argument.
           */
          function ln(int256 a) internal pure returns (int256) {
              // The real natural logarithm is not defined for negative numbers or zero.
              _require(a > 0, Errors.OUT_OF_BOUNDS);
              if (a < ONE_18) {
                  // Since ln(a^k) = k * ln(a), we can compute ln(a) as ln(a) = ln((1/a)^(-1)) = - ln((1/a)). If a is less
                  // than one, 1/a will be greater than one, and this if statement will not be entered in the recursive call.
                  // Fixed point division requires multiplying by ONE_18.
                  return (-ln((ONE_18 * ONE_18) / a));
              }
              // First, we use the fact that ln^(a * b) = ln(a) + ln(b) to decompose ln(a) into a sum of powers of two, which
              // we call x_n, where x_n == 2^(7 - n), which are the natural logarithm of precomputed quantities a_n (that is,
              // ln(a_n) = x_n). We choose the first x_n, x0, to equal 2^7 because the exponential of all larger powers cannot
              // be represented as 18 fixed point decimal numbers in 256 bits, and are therefore larger than a.
              // At the end of this process we will have the sum of all x_n = ln(a_n) that apply, and the remainder of this
              // decomposition, which will be lower than the smallest a_n.
              // ln(a) = k_0 * x_0 + k_1 * x_1 + ... + k_n * x_n + ln(remainder), where each k_n equals either 0 or 1.
              // We mutate a by subtracting a_n, making it the remainder of the decomposition.
              // For reasons related to how `exp` works, the first two a_n (e^(2^7) and e^(2^6)) are not stored as fixed point
              // numbers with 18 decimals, but instead as plain integers with 0 decimals, so we need to multiply them by
              // ONE_18 to convert them to fixed point.
              // For each a_n, we test if that term is present in the decomposition (if a is larger than it), and if so divide
              // by it and compute the accumulated sum.
              int256 sum = 0;
              if (a >= a0 * ONE_18) {
                  a /= a0; // Integer, not fixed point division
                  sum += x0;
              }
              if (a >= a1 * ONE_18) {
                  a /= a1; // Integer, not fixed point division
                  sum += x1;
              }
              // All other a_n and x_n are stored as 20 digit fixed point numbers, so we convert the sum and a to this format.
              sum *= 100;
              a *= 100;
              // Because further a_n are  20 digit fixed point numbers, we multiply by ONE_20 when dividing by them.
              if (a >= a2) {
                  a = (a * ONE_20) / a2;
                  sum += x2;
              }
              if (a >= a3) {
                  a = (a * ONE_20) / a3;
                  sum += x3;
              }
              if (a >= a4) {
                  a = (a * ONE_20) / a4;
                  sum += x4;
              }
              if (a >= a5) {
                  a = (a * ONE_20) / a5;
                  sum += x5;
              }
              if (a >= a6) {
                  a = (a * ONE_20) / a6;
                  sum += x6;
              }
              if (a >= a7) {
                  a = (a * ONE_20) / a7;
                  sum += x7;
              }
              if (a >= a8) {
                  a = (a * ONE_20) / a8;
                  sum += x8;
              }
              if (a >= a9) {
                  a = (a * ONE_20) / a9;
                  sum += x9;
              }
              if (a >= a10) {
                  a = (a * ONE_20) / a10;
                  sum += x10;
              }
              if (a >= a11) {
                  a = (a * ONE_20) / a11;
                  sum += x11;
              }
              // a is now a small number (smaller than a_11, which roughly equals 1.06). This means we can use a Taylor series
              // that converges rapidly for values of `a` close to one - the same one used in ln_36.
              // Let z = (a - 1) / (a + 1).
              // ln(a) = 2 * (z + z^3 / 3 + z^5 / 5 + z^7 / 7 + ... + z^(2 * n + 1) / (2 * n + 1))
              // Recall that 20 digit fixed point division requires multiplying by ONE_20, and multiplication requires
              // division by ONE_20.
              int256 z = ((a - ONE_20) * ONE_20) / (a + ONE_20);
              int256 z_squared = (z * z) / ONE_20;
              // num is the numerator of the series: the z^(2 * n + 1) term
              int256 num = z;
              // seriesSum holds the accumulated sum of each term in the series, starting with the initial z
              int256 seriesSum = num;
              // In each step, the numerator is multiplied by z^2
              num = (num * z_squared) / ONE_20;
              seriesSum += num / 3;
              num = (num * z_squared) / ONE_20;
              seriesSum += num / 5;
              num = (num * z_squared) / ONE_20;
              seriesSum += num / 7;
              num = (num * z_squared) / ONE_20;
              seriesSum += num / 9;
              num = (num * z_squared) / ONE_20;
              seriesSum += num / 11;
              // 6 Taylor terms are sufficient for 36 decimal precision.
              // Finally, we multiply by 2 (non fixed point) to compute ln(remainder)
              seriesSum *= 2;
              // We now have the sum of all x_n present, and the Taylor approximation of the logarithm of the remainder (both
              // with 20 decimals). All that remains is to sum these two, and then drop two digits to return a 18 decimal
              // value.
              return (sum + seriesSum) / 100;
          }
          /**
           * @dev Logarithm (log(arg, base), with signed 18 decimal fixed point base and argument argument.
           */
          function log(int256 arg, int256 base) internal pure returns (int256) {
              // This performs a simple base change: log(arg, base) = ln(arg) / ln(base).
              // Both logBase and logArg are computed as 36 decimal fixed point numbers, either by using ln_36, or by
              // upscaling.
              int256 logBase;
              if (LN_36_LOWER_BOUND < base && base < LN_36_UPPER_BOUND) {
                  logBase = ln_36(base);
              } else {
                  logBase = ln(base) * ONE_18;
              }
              int256 logArg;
              if (LN_36_LOWER_BOUND < arg && arg < LN_36_UPPER_BOUND) {
                  logArg = ln_36(arg);
              } else {
                  logArg = ln(arg) * ONE_18;
              }
              // When dividing, we multiply by ONE_18 to arrive at a result with 18 decimal places
              return (logArg * ONE_18) / logBase;
          }
          /**
           * @dev High precision (36 decimal places) natural logarithm (ln(x)) with signed 18 decimal fixed point argument,
           * for x close to one.
           *
           * Should only be used if x is between LN_36_LOWER_BOUND and LN_36_UPPER_BOUND.
           */
          function ln_36(int256 x) private pure returns (int256) {
              // Since ln(1) = 0, a value of x close to one will yield a very small result, which makes using 36 digits
              // worthwhile.
              // First, we transform x to a 36 digit fixed point value.
              x *= ONE_18;
              // We will use the following Taylor expansion, which converges very rapidly. Let z = (x - 1) / (x + 1).
              // ln(x) = 2 * (z + z^3 / 3 + z^5 / 5 + z^7 / 7 + ... + z^(2 * n + 1) / (2 * n + 1))
              // Recall that 36 digit fixed point division requires multiplying by ONE_36, and multiplication requires
              // division by ONE_36.
              int256 z = ((x - ONE_36) * ONE_36) / (x + ONE_36);
              int256 z_squared = (z * z) / ONE_36;
              // num is the numerator of the series: the z^(2 * n + 1) term
              int256 num = z;
              // seriesSum holds the accumulated sum of each term in the series, starting with the initial z
              int256 seriesSum = num;
              // In each step, the numerator is multiplied by z^2
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 3;
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 5;
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 7;
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 9;
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 11;
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 13;
              num = (num * z_squared) / ONE_36;
              seriesSum += num / 15;
              // 8 Taylor terms are sufficient for 36 decimal precision.
              // All that remains is multiplying by 2 (non fixed point).
              return seriesSum * 2;
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      /**
       * @dev Wrappers over Solidity's arithmetic operations with added overflow checks.
       * Adapted from OpenZeppelin's SafeMath library
       */
      library Math {
          /**
           * @dev Returns the addition of two unsigned integers of 256 bits, reverting on overflow.
           */
          function add(uint256 a, uint256 b) internal pure returns (uint256) {
              uint256 c = a + b;
              _require(c >= a, Errors.ADD_OVERFLOW);
              return c;
          }
          /**
           * @dev Returns the addition of two signed integers, reverting on overflow.
           */
          function add(int256 a, int256 b) internal pure returns (int256) {
              int256 c = a + b;
              _require((b >= 0 && c >= a) || (b < 0 && c < a), Errors.ADD_OVERFLOW);
              return c;
          }
          /**
           * @dev Returns the subtraction of two unsigned integers of 256 bits, reverting on overflow.
           */
          function sub(uint256 a, uint256 b) internal pure returns (uint256) {
              _require(b <= a, Errors.SUB_OVERFLOW);
              uint256 c = a - b;
              return c;
          }
          /**
           * @dev Returns the subtraction of two signed integers, reverting on overflow.
           */
          function sub(int256 a, int256 b) internal pure returns (int256) {
              int256 c = a - b;
              _require((b >= 0 && c <= a) || (b < 0 && c > a), Errors.SUB_OVERFLOW);
              return c;
          }
          /**
           * @dev Returns the largest of two numbers of 256 bits.
           */
          function max(uint256 a, uint256 b) internal pure returns (uint256) {
              return a >= b ? a : b;
          }
          /**
           * @dev Returns the smallest of two numbers of 256 bits.
           */
          function min(uint256 a, uint256 b) internal pure returns (uint256) {
              return a < b ? a : b;
          }
          function mul(uint256 a, uint256 b) internal pure returns (uint256) {
              uint256 c = a * b;
              _require(a == 0 || c / a == b, Errors.MUL_OVERFLOW);
              return c;
          }
          function divDown(uint256 a, uint256 b) internal pure returns (uint256) {
              _require(b != 0, Errors.ZERO_DIVISION);
              return a / b;
          }
          function divUp(uint256 a, uint256 b) internal pure returns (uint256) {
              _require(b != 0, Errors.ZERO_DIVISION);
              if (a == 0) {
                  return 0;
              } else {
                  return 1 + (a - 1) / b;
              }
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      // Based on the EnumerableMap library from OpenZeppelin contracts, altered to include the following:
      //  * a map from IERC20 to bytes32
      //  * entries are stored in mappings instead of arrays, reducing implicit storage reads for out-of-bounds checks
      //  * unchecked_at and unchecked_valueAt, which allow for more gas efficient data reads in some scenarios
      //  * unchecked_indexOf and unchecked_setAt, which allow for more gas efficient data writes in some scenarios
      //
      // Additionally, the base private functions that work on bytes32 were removed and replaced with a native implementation
      // for IERC20 keys, to reduce bytecode size and runtime costs.
      // We're using non-standard casing for the unchecked functions to differentiate them, so we need to turn off that rule
      // solhint-disable func-name-mixedcase
      import "./IERC20.sol";
      import "../helpers/BalancerErrors.sol";
      /**
       * @dev Library for managing an enumerable variant of Solidity's
       * https://solidity.readthedocs.io/en/latest/types.html#mapping-types[`mapping`]
       * type.
       *
       * Maps have the following properties:
       *
       * - Entries are added, removed, and checked for existence in constant time
       * (O(1)).
       * - Entries are enumerated in O(n). No guarantees are made on the ordering.
       *
       * ```
       * contract Example {
       *     // Add the library methods
       *     using EnumerableMap for EnumerableMap.UintToAddressMap;
       *
       *     // Declare a set state variable
       *     EnumerableMap.UintToAddressMap private myMap;
       * }
       * ```
       */
      library EnumerableMap {
          // The original OpenZeppelin implementation uses a generic Map type with bytes32 keys: this was replaced with
          // IERC20ToBytes32Map, which uses IERC20 keys natively, resulting in more dense bytecode.
          struct IERC20ToBytes32MapEntry {
              IERC20 _key;
              bytes32 _value;
          }
          struct IERC20ToBytes32Map {
              // Number of entries in the map
              uint256 _length;
              // Storage of map keys and values
              mapping(uint256 => IERC20ToBytes32MapEntry) _entries;
              // Position of the entry defined by a key in the `entries` array, plus 1
              // because index 0 means a key is not in the map.
              mapping(IERC20 => uint256) _indexes;
          }
          /**
           * @dev Adds a key-value pair to a map, or updates the value for an existing
           * key. O(1).
           *
           * Returns true if the key was added to the map, that is if it was not
           * already present.
           */
          function set(
              IERC20ToBytes32Map storage map,
              IERC20 key,
              bytes32 value
          ) internal returns (bool) {
              // We read and store the key's index to prevent multiple reads from the same storage slot
              uint256 keyIndex = map._indexes[key];
              // Equivalent to !contains(map, key)
              if (keyIndex == 0) {
                  uint256 previousLength = map._length;
                  map._entries[previousLength] = IERC20ToBytes32MapEntry({ _key: key, _value: value });
                  map._length = previousLength + 1;
                  // The entry is stored at previousLength, but we add 1 to all indexes
                  // and use 0 as a sentinel value
                  map._indexes[key] = previousLength + 1;
                  return true;
              } else {
                  map._entries[keyIndex - 1]._value = value;
                  return false;
              }
          }
          /**
           * @dev Updates the value for an entry, given its key's index. The key index can be retrieved via
           * {unchecked_indexOf}, and it should be noted that key indices may change when calling {set} or {remove}. O(1).
           *
           * This function performs one less storage read than {set}, but it should only be used when `index` is known to be
           * within bounds.
           */
          function unchecked_setAt(
              IERC20ToBytes32Map storage map,
              uint256 index,
              bytes32 value
          ) internal {
              map._entries[index]._value = value;
          }
          /**
           * @dev Removes a key-value pair from a map. O(1).
           *
           * Returns true if the key was removed from the map, that is if it was present.
           */
          function remove(IERC20ToBytes32Map storage map, IERC20 key) internal returns (bool) {
              // We read and store the key's index to prevent multiple reads from the same storage slot
              uint256 keyIndex = map._indexes[key];
              // Equivalent to contains(map, key)
              if (keyIndex != 0) {
                  // To delete a key-value pair from the _entries pseudo-array in O(1), we swap the entry to delete with the
                  // one at the highest index, and then remove this last entry (sometimes called as 'swap and pop').
                  // This modifies the order of the pseudo-array, as noted in {at}.
                  uint256 toDeleteIndex = keyIndex - 1;
                  uint256 lastIndex = map._length - 1;
                  // When the entry to delete is the last one, the swap operation is unnecessary. However, since this occurs
                  // so rarely, we still do the swap anyway to avoid the gas cost of adding an 'if' statement.
                  IERC20ToBytes32MapEntry storage lastEntry = map._entries[lastIndex];
                  // Move the last entry to the index where the entry to delete is
                  map._entries[toDeleteIndex] = lastEntry;
                  // Update the index for the moved entry
                  map._indexes[lastEntry._key] = toDeleteIndex + 1; // All indexes are 1-based
                  // Delete the slot where the moved entry was stored
                  delete map._entries[lastIndex];
                  map._length = lastIndex;
                  // Delete the index for the deleted slot
                  delete map._indexes[key];
                  return true;
              } else {
                  return false;
              }
          }
          /**
           * @dev Returns true if the key is in the map. O(1).
           */
          function contains(IERC20ToBytes32Map storage map, IERC20 key) internal view returns (bool) {
              return map._indexes[key] != 0;
          }
          /**
           * @dev Returns the number of key-value pairs in the map. O(1).
           */
          function length(IERC20ToBytes32Map storage map) internal view returns (uint256) {
              return map._length;
          }
          /**
           * @dev Returns the key-value pair stored at position `index` in the map. O(1).
           *
           * Note that there are no guarantees on the ordering of entries inside the
           * array, and it may change when more entries are added or removed.
           *
           * Requirements:
           *
           * - `index` must be strictly less than {length}.
           */
          function at(IERC20ToBytes32Map storage map, uint256 index) internal view returns (IERC20, bytes32) {
              _require(map._length > index, Errors.OUT_OF_BOUNDS);
              return unchecked_at(map, index);
          }
          /**
           * @dev Same as {at}, except this doesn't revert if `index` it outside of the map (i.e. if it is equal or larger
           * than {length}). O(1).
           *
           * This function performs one less storage read than {at}, but should only be used when `index` is known to be
           * within bounds.
           */
          function unchecked_at(IERC20ToBytes32Map storage map, uint256 index) internal view returns (IERC20, bytes32) {
              IERC20ToBytes32MapEntry storage entry = map._entries[index];
              return (entry._key, entry._value);
          }
          /**
           * @dev Same as {unchecked_At}, except it only returns the value and not the key (performing one less storage
           * read). O(1).
           */
          function unchecked_valueAt(IERC20ToBytes32Map storage map, uint256 index) internal view returns (bytes32) {
              return map._entries[index]._value;
          }
          /**
           * @dev Returns the value associated with `key`. O(1).
           *
           * Requirements:
           *
           * - `key` must be in the map. Reverts with `errorCode` otherwise.
           */
          function get(
              IERC20ToBytes32Map storage map,
              IERC20 key,
              uint256 errorCode
          ) internal view returns (bytes32) {
              uint256 index = map._indexes[key];
              _require(index > 0, errorCode);
              return unchecked_valueAt(map, index - 1);
          }
          /**
           * @dev Returns the index for `key` **plus one**. Does not revert if the key is not in the map, and returns 0
           * instead.
           */
          function unchecked_indexOf(IERC20ToBytes32Map storage map, IERC20 key) internal view returns (uint256) {
              return map._indexes[key];
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      // Based on the EnumerableSet library from OpenZeppelin contracts, altered to remove the base private functions that
      // work on bytes32, replacing them with a native implementation for address values, to reduce bytecode size and runtime
      // costs.
      // The `unchecked_at` function was also added, which allows for more gas efficient data reads in some scenarios.
      /**
       * @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.
       */
      library EnumerableSet {
          // The original OpenZeppelin implementation uses a generic Set type with bytes32 values: this was replaced with
          // AddressSet, which uses address keys natively, resulting in more dense bytecode.
          struct AddressSet {
              // Storage of set values
              address[] _values;
              // Position of the value in the `values` array, plus 1 because index 0
              // means a value is not in the set.
              mapping(address => 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(AddressSet storage set, address value) internal 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(AddressSet storage set, address value) internal 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;
                  // When the value to delete is the last one, the swap operation is unnecessary. However, since this occurs
                  // so rarely, we still do the swap anyway to avoid the gas cost of adding an 'if' statement.
                  address 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] = toDeleteIndex + 1; // All indexes are 1-based
                  // 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(AddressSet storage set, address value) internal view returns (bool) {
              return set._indexes[value] != 0;
          }
          /**
           * @dev Returns the number of values on the set. O(1).
           */
          function length(AddressSet storage set) internal 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(AddressSet storage set, uint256 index) internal view returns (address) {
              _require(set._values.length > index, Errors.OUT_OF_BOUNDS);
              return unchecked_at(set, index);
          }
          /**
           * @dev Same as {at}, except this doesn't revert if `index` it outside of the set (i.e. if it is equal or larger
           * than {length}). O(1).
           *
           * This function performs one less storage read than {at}, but should only be used when `index` is known to be
           * within bounds.
           */
          function unchecked_at(AddressSet storage set, uint256 index) internal view returns (address) {
              return set._values[index];
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      /**
       * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
       * checks.
       *
       * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
       * easily result in undesired exploitation or bugs, since developers usually
       * assume that overflows raise errors. `SafeCast` restores this intuition by
       * reverting the transaction when such an operation overflows.
       *
       * Using this library instead of the unchecked operations eliminates an entire
       * class of bugs, so it's recommended to use it always.
       *
       * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
       * all math on `uint256` and `int256` and then downcasting.
       */
      library SafeCast {
          /**
           * @dev Converts an unsigned uint256 into a signed int256.
           *
           * Requirements:
           *
           * - input must be less than or equal to maxInt256.
           */
          function toInt256(uint256 value) internal pure returns (int256) {
              _require(value < 2**255, Errors.SAFE_CAST_VALUE_CANT_FIT_INT256);
              return int256(value);
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/math/Math.sol";
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/helpers/InputHelpers.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "./Fees.sol";
      import "./PoolTokens.sol";
      import "./UserBalance.sol";
      import "./interfaces/IBasePool.sol";
      /**
       * @dev Stores the Asset Managers (by Pool and token), and implements the top level Asset Manager and Pool interfaces,
       * such as registering and deregistering tokens, joining and exiting Pools, and informational functions like `getPool`
       * and `getPoolTokens`, delegating to specialization-specific functions as needed.
       *
       * `managePoolBalance` handles all Asset Manager interactions.
       */
      abstract contract PoolBalances is Fees, ReentrancyGuard, PoolTokens, UserBalance {
          using Math for uint256;
          using SafeERC20 for IERC20;
          using BalanceAllocation for bytes32;
          using BalanceAllocation for bytes32[];
          function joinPool(
              bytes32 poolId,
              address sender,
              address recipient,
              JoinPoolRequest memory request
          ) external payable override whenNotPaused {
              // This function doesn't have the nonReentrant modifier: it is applied to `_joinOrExit` instead.
              // Note that `recipient` is not actually payable in the context of a join - we cast it because we handle both
              // joins and exits at once.
              _joinOrExit(PoolBalanceChangeKind.JOIN, poolId, sender, payable(recipient), _toPoolBalanceChange(request));
          }
          function exitPool(
              bytes32 poolId,
              address sender,
              address payable recipient,
              ExitPoolRequest memory request
          ) external override {
              // This function doesn't have the nonReentrant modifier: it is applied to `_joinOrExit` instead.
              _joinOrExit(PoolBalanceChangeKind.EXIT, poolId, sender, recipient, _toPoolBalanceChange(request));
          }
          // This has the exact same layout as JoinPoolRequest and ExitPoolRequest, except the `maxAmountsIn` and
          // `minAmountsOut` are called `limits`. Internally we use this struct for both since these two functions are quite
          // similar, but expose the others to callers for clarity.
          struct PoolBalanceChange {
              IAsset[] assets;
              uint256[] limits;
              bytes userData;
              bool useInternalBalance;
          }
          /**
           * @dev Converts a JoinPoolRequest into a PoolBalanceChange, with no runtime cost.
           */
          function _toPoolBalanceChange(JoinPoolRequest memory request)
              private
              pure
              returns (PoolBalanceChange memory change)
          {
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  change := request
              }
          }
          /**
           * @dev Converts an ExitPoolRequest into a PoolBalanceChange, with no runtime cost.
           */
          function _toPoolBalanceChange(ExitPoolRequest memory request)
              private
              pure
              returns (PoolBalanceChange memory change)
          {
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  change := request
              }
          }
          /**
           * @dev Implements both `joinPool` and `exitPool`, based on `kind`.
           */
          function _joinOrExit(
              PoolBalanceChangeKind kind,
              bytes32 poolId,
              address sender,
              address payable recipient,
              PoolBalanceChange memory change
          ) private nonReentrant withRegisteredPool(poolId) authenticateFor(sender) {
              // This function uses a large number of stack variables (poolId, sender and recipient, balances, amounts, fees,
              // etc.), which leads to 'stack too deep' issues. It relies on private functions with seemingly arbitrary
              // interfaces to work around this limitation.
              InputHelpers.ensureInputLengthMatch(change.assets.length, change.limits.length);
              // We first check that the caller passed the Pool's registered tokens in the correct order, and retrieve the
              // current balance for each.
              IERC20[] memory tokens = _translateToIERC20(change.assets);
              bytes32[] memory balances = _validateTokensAndGetBalances(poolId, tokens);
              // The bulk of the work is done here: the corresponding Pool hook is called, its final balances are computed,
              // assets are transferred, and fees are paid.
              (
                  bytes32[] memory finalBalances,
                  uint256[] memory amountsInOrOut,
                  uint256[] memory paidProtocolSwapFeeAmounts
              ) = _callPoolBalanceChange(kind, poolId, sender, recipient, change, balances);
              // All that remains is storing the new Pool balances.
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  _setTwoTokenPoolCashBalances(poolId, tokens[0], finalBalances[0], tokens[1], finalBalances[1]);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  _setMinimalSwapInfoPoolBalances(poolId, tokens, finalBalances);
              } else {
                  // PoolSpecialization.GENERAL
                  _setGeneralPoolBalances(poolId, finalBalances);
              }
              bool positive = kind == PoolBalanceChangeKind.JOIN; // Amounts in are positive, out are negative
              emit PoolBalanceChanged(
                  poolId,
                  sender,
                  tokens,
                  // We can unsafely cast to int256 because balances are actually stored as uint112
                  _unsafeCastToInt256(amountsInOrOut, positive),
                  paidProtocolSwapFeeAmounts
              );
          }
          /**
           * @dev Calls the corresponding Pool hook to get the amounts in/out plus protocol fee amounts, and performs the
           * associated token transfers and fee payments, returning the Pool's final balances.
           */
          function _callPoolBalanceChange(
              PoolBalanceChangeKind kind,
              bytes32 poolId,
              address sender,
              address payable recipient,
              PoolBalanceChange memory change,
              bytes32[] memory balances
          )
              private
              returns (
                  bytes32[] memory finalBalances,
                  uint256[] memory amountsInOrOut,
                  uint256[] memory dueProtocolFeeAmounts
              )
          {
              (uint256[] memory totalBalances, uint256 lastChangeBlock) = balances.totalsAndLastChangeBlock();
              IBasePool pool = IBasePool(_getPoolAddress(poolId));
              (amountsInOrOut, dueProtocolFeeAmounts) = kind == PoolBalanceChangeKind.JOIN
                  ? pool.onJoinPool(
                      poolId,
                      sender,
                      recipient,
                      totalBalances,
                      lastChangeBlock,
                      _getProtocolSwapFeePercentage(),
                      change.userData
                  )
                  : pool.onExitPool(
                      poolId,
                      sender,
                      recipient,
                      totalBalances,
                      lastChangeBlock,
                      _getProtocolSwapFeePercentage(),
                      change.userData
                  );
              InputHelpers.ensureInputLengthMatch(balances.length, amountsInOrOut.length, dueProtocolFeeAmounts.length);
              // The Vault ignores the `recipient` in joins and the `sender` in exits: it is up to the Pool to keep track of
              // their participation.
              finalBalances = kind == PoolBalanceChangeKind.JOIN
                  ? _processJoinPoolTransfers(sender, change, balances, amountsInOrOut, dueProtocolFeeAmounts)
                  : _processExitPoolTransfers(recipient, change, balances, amountsInOrOut, dueProtocolFeeAmounts);
          }
          /**
           * @dev Transfers `amountsIn` from `sender`, checking that they are within their accepted limits, and pays
           * accumulated protocol swap fees.
           *
           * Returns the Pool's final balances, which are the current balances plus `amountsIn` minus accumulated protocol
           * swap fees.
           */
          function _processJoinPoolTransfers(
              address sender,
              PoolBalanceChange memory change,
              bytes32[] memory balances,
              uint256[] memory amountsIn,
              uint256[] memory dueProtocolFeeAmounts
          ) private returns (bytes32[] memory finalBalances) {
              // We need to track how much of the received ETH was used and wrapped into WETH to return any excess.
              uint256 wrappedEth = 0;
              finalBalances = new bytes32[](balances.length);
              for (uint256 i = 0; i < change.assets.length; ++i) {
                  uint256 amountIn = amountsIn[i];
                  _require(amountIn <= change.limits[i], Errors.JOIN_ABOVE_MAX);
                  // Receive assets from the sender - possibly from Internal Balance.
                  IAsset asset = change.assets[i];
                  _receiveAsset(asset, amountIn, sender, change.useInternalBalance);
                  if (_isETH(asset)) {
                      wrappedEth = wrappedEth.add(amountIn);
                  }
                  uint256 feeAmount = dueProtocolFeeAmounts[i];
                  _payFeeAmount(_translateToIERC20(asset), feeAmount);
                  // Compute the new Pool balances. Note that the fee amount might be larger than `amountIn`,
                  // resulting in an overall decrease of the Pool's balance for a token.
                  finalBalances[i] = (amountIn >= feeAmount) // This lets us skip checked arithmetic
                      ? balances[i].increaseCash(amountIn - feeAmount)
                      : balances[i].decreaseCash(feeAmount - amountIn);
              }
              // Handle any used and remaining ETH.
              _handleRemainingEth(wrappedEth);
          }
          /**
           * @dev Transfers `amountsOut` to `recipient`, checking that they are within their accepted limits, and pays
           * accumulated protocol swap fees from the Pool.
           *
           * Returns the Pool's final balances, which are the current `balances` minus `amountsOut` and fees paid
           * (`dueProtocolFeeAmounts`).
           */
          function _processExitPoolTransfers(
              address payable recipient,
              PoolBalanceChange memory change,
              bytes32[] memory balances,
              uint256[] memory amountsOut,
              uint256[] memory dueProtocolFeeAmounts
          ) private returns (bytes32[] memory finalBalances) {
              finalBalances = new bytes32[](balances.length);
              for (uint256 i = 0; i < change.assets.length; ++i) {
                  uint256 amountOut = amountsOut[i];
                  _require(amountOut >= change.limits[i], Errors.EXIT_BELOW_MIN);
                  // Send tokens to the recipient - possibly to Internal Balance
                  IAsset asset = change.assets[i];
                  _sendAsset(asset, amountOut, recipient, change.useInternalBalance);
                  uint256 feeAmount = dueProtocolFeeAmounts[i];
                  _payFeeAmount(_translateToIERC20(asset), feeAmount);
                  // Compute the new Pool balances. A Pool's token balance always decreases after an exit (potentially by 0).
                  finalBalances[i] = balances[i].decreaseCash(amountOut.add(feeAmount));
              }
          }
          /**
           * @dev Returns the total balance for `poolId`'s `expectedTokens`.
           *
           * `expectedTokens` must exactly equal the token array returned by `getPoolTokens`: both arrays must have the same
           * length, elements and order. Additionally, the Pool must have at least one registered token.
           */
          function _validateTokensAndGetBalances(bytes32 poolId, IERC20[] memory expectedTokens)
              private
              view
              returns (bytes32[] memory)
          {
              (IERC20[] memory actualTokens, bytes32[] memory balances) = _getPoolTokens(poolId);
              InputHelpers.ensureInputLengthMatch(actualTokens.length, expectedTokens.length);
              _require(actualTokens.length > 0, Errors.POOL_NO_TOKENS);
              for (uint256 i = 0; i < actualTokens.length; ++i) {
                  _require(actualTokens[i] == expectedTokens[i], Errors.TOKENS_MISMATCH);
              }
              return balances;
          }
          /**
           * @dev Casts an array of uint256 to int256, setting the sign of the result according to the `positive` flag,
           * without checking whether the values fit in the signed 256 bit range.
           */
          function _unsafeCastToInt256(uint256[] memory values, bool positive)
              private
              pure
              returns (int256[] memory signedValues)
          {
              signedValues = new int256[](values.length);
              for (uint256 i = 0; i < values.length; i++) {
                  signedValues[i] = positive ? int256(values[i]) : -int256(values[i]);
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../../lib/openzeppelin/IERC20.sol";
      import "./IVault.sol";
      interface IPoolSwapStructs {
          // This is not really an interface - it just defines common structs used by other interfaces: IGeneralPool and
          // IMinimalSwapInfoPool.
          //
          // This data structure represents a request for a token swap, where `kind` indicates the swap type ('given in' or
          // 'given out') which indicates whether or not the amount sent by the pool is known.
          //
          // The pool receives `tokenIn` and sends `tokenOut`. `amount` is the number of `tokenIn` tokens the pool will take
          // in, or the number of `tokenOut` tokens the Pool will send out, depending on the given swap `kind`.
          //
          // All other fields are not strictly necessary for most swaps, but are provided to support advanced scenarios in
          // some Pools.
          //
          // `poolId` is the ID of the Pool involved in the swap - this is useful for Pool contracts that implement more than
          // one Pool.
          //
          // The meaning of `lastChangeBlock` depends on the Pool specialization:
          //  - Two Token or Minimal Swap Info: the last block in which either `tokenIn` or `tokenOut` changed its total
          //    balance.
          //  - General: the last block in which *any* of the Pool's registered tokens changed its total balance.
          //
          // `from` is the origin address for the funds the Pool receives, and `to` is the destination address
          // where the Pool sends the outgoing tokens.
          //
          // `userData` is extra data provided by the caller - typically a signature from a trusted party.
          struct SwapRequest {
              IVault.SwapKind kind;
              IERC20 tokenIn;
              IERC20 tokenOut;
              uint256 amount;
              // Misc data
              bytes32 poolId;
              uint256 lastChangeBlock;
              address from;
              address to;
              bytes userData;
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "./IBasePool.sol";
      /**
       * @dev IPools with the General specialization setting should implement this interface.
       *
       * This is called by the Vault when a user calls `IVault.swap` or `IVault.batchSwap` to swap with this Pool.
       * Returns the number of tokens the Pool will grant to the user in a 'given in' swap, or that the user will
       * grant to the pool in a 'given out' swap.
       *
       * This can often be implemented by a `view` function, since many pricing algorithms don't need to track state
       * changes in swaps. However, contracts implementing this in non-view functions should check that the caller is
       * indeed the Vault.
       */
      interface IGeneralPool is IBasePool {
          function onSwap(
              SwapRequest memory swapRequest,
              uint256[] memory balances,
              uint256 indexIn,
              uint256 indexOut
          ) external returns (uint256 amount);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "./IBasePool.sol";
      /**
       * @dev Pool contracts with the MinimalSwapInfo or TwoToken specialization settings should implement this interface.
       *
       * This is called by the Vault when a user calls `IVault.swap` or `IVault.batchSwap` to swap with this Pool.
       * Returns the number of tokens the Pool will grant to the user in a 'given in' swap, or that the user will grant
       * to the pool in a 'given out' swap.
       *
       * This can often be implemented by a `view` function, since many pricing algorithms don't need to track state
       * changes in swaps. However, contracts implementing this in non-view functions should check that the caller is
       * indeed the Vault.
       */
      interface IMinimalSwapInfoPool is IBasePool {
          function onSwap(
              SwapRequest memory swapRequest,
              uint256 currentBalanceTokenIn,
              uint256 currentBalanceTokenOut
          ) external returns (uint256 amount);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "../../lib/math/Math.sol";
      // This library is used to create a data structure that represents a token's balance for a Pool. 'cash' is how many
      // tokens the Pool has sitting inside of the Vault. 'managed' is how many tokens were withdrawn from the Vault by the
      // Pool's Asset Manager. 'total' is the sum of these two, and represents the Pool's total token balance, including
      // tokens that are *not* inside of the Vault.
      //
      // 'cash' is updated whenever tokens enter and exit the Vault, while 'managed' is only updated if the reason tokens are
      // moving is due to an Asset Manager action. This is reflected in the different methods available: 'increaseCash'
      // and 'decreaseCash' for swaps and add/remove liquidity events, and 'cashToManaged' and 'managedToCash' for events
      // transferring funds to and from the Asset Manager.
      //
      // The Vault disallows the Pool's 'cash' from becoming negative. In other words, it can never use any tokens that are
      // not inside the Vault.
      //
      // One of the goals of this library is to store the entire token balance in a single storage slot, which is why we use
      // 112 bit unsigned integers for 'cash' and 'managed'. For consistency, we also disallow any combination of 'cash' and
      // 'managed' that yields a 'total' that doesn't fit in 112 bits.
      //
      // The remaining 32 bits of the slot are used to store the most recent block when the total balance changed. This
      // can be used to implement price oracles that are resilient to 'sandwich' attacks.
      //
      // We could use a Solidity struct to pack these three values together in a single storage slot, but unfortunately
      // Solidity only allows for structs to live in either storage, calldata or memory. Because a memory struct still takes
      // up a slot in the stack (to store its memory location), and because the entire balance fits in a single stack slot
      // (two 112 bit values plus the 32 bit block), using memory is strictly less gas performant. Therefore, we do manual
      // packing and unpacking.
      //
      // Since we cannot define new types, we rely on bytes32 to represent these values instead, as it doesn't have any
      // associated arithmetic operations and therefore reduces the chance of misuse.
      library BalanceAllocation {
          using Math for uint256;
          // The 'cash' portion of the balance is stored in the least significant 112 bits of a 256 bit word, while the
          // 'managed' part uses the following 112 bits. The most significant 32 bits are used to store the block
          /**
           * @dev Returns the total amount of Pool tokens, including those that are not currently in the Vault ('managed').
           */
          function total(bytes32 balance) internal pure returns (uint256) {
              // Since 'cash' and 'managed' are 112 bit values, we don't need checked arithmetic. Additionally, `toBalance`
              // ensures that 'total' always fits in 112 bits.
              return cash(balance) + managed(balance);
          }
          /**
           * @dev Returns the amount of Pool tokens currently in the Vault.
           */
          function cash(bytes32 balance) internal pure returns (uint256) {
              uint256 mask = 2**(112) - 1;
              return uint256(balance) & mask;
          }
          /**
           * @dev Returns the amount of Pool tokens that are being managed by an Asset Manager.
           */
          function managed(bytes32 balance) internal pure returns (uint256) {
              uint256 mask = 2**(112) - 1;
              return uint256(balance >> 112) & mask;
          }
          /**
           * @dev Returns the last block when the total balance changed.
           */
          function lastChangeBlock(bytes32 balance) internal pure returns (uint256) {
              uint256 mask = 2**(32) - 1;
              return uint256(balance >> 224) & mask;
          }
          /**
           * @dev Returns the difference in 'managed' between two balances.
           */
          function managedDelta(bytes32 newBalance, bytes32 oldBalance) internal pure returns (int256) {
              // Because `managed` is a 112 bit value, we can safely perform unchecked arithmetic in 256 bits.
              return int256(managed(newBalance)) - int256(managed(oldBalance));
          }
          /**
           * @dev Returns the total balance for each entry in `balances`, as well as the latest block when the total
           * balance of *any* of them last changed.
           */
          function totalsAndLastChangeBlock(bytes32[] memory balances)
              internal
              pure
              returns (
                  uint256[] memory results,
                  uint256 lastChangeBlock_ // Avoid shadowing
              )
          {
              results = new uint256[](balances.length);
              lastChangeBlock_ = 0;
              for (uint256 i = 0; i < results.length; i++) {
                  bytes32 balance = balances[i];
                  results[i] = total(balance);
                  lastChangeBlock_ = Math.max(lastChangeBlock_, lastChangeBlock(balance));
              }
          }
          /**
           * @dev Returns true if `balance`'s 'total' balance is zero. Costs less gas than computing 'total' and comparing
           * with zero.
           */
          function isZero(bytes32 balance) internal pure returns (bool) {
              // We simply need to check the least significant 224 bytes of the word: the block does not affect this.
              uint256 mask = 2**(224) - 1;
              return (uint256(balance) & mask) == 0;
          }
          /**
           * @dev Returns true if `balance`'s 'total' balance is not zero. Costs less gas than computing 'total' and comparing
           * with zero.
           */
          function isNotZero(bytes32 balance) internal pure returns (bool) {
              return !isZero(balance);
          }
          /**
           * @dev Packs together `cash` and `managed` amounts with a block to create a balance value.
           *
           * For consistency, this also checks that the sum of `cash` and `managed` (`total`) fits in 112 bits.
           */
          function toBalance(
              uint256 _cash,
              uint256 _managed,
              uint256 _blockNumber
          ) internal pure returns (bytes32) {
              uint256 _total = _cash + _managed;
              // Since both 'cash' and 'managed' are positive integers, by checking that their sum ('total') fits in 112 bits
              // we are also indirectly checking that both 'cash' and 'managed' themselves fit in 112 bits.
              _require(_total >= _cash && _total < 2**112, Errors.BALANCE_TOTAL_OVERFLOW);
              // We assume the block fits in 32 bits - this is expected to hold for at least a few decades.
              return _pack(_cash, _managed, _blockNumber);
          }
          /**
           * @dev Increases a Pool's 'cash' (and therefore its 'total'). Called when Pool tokens are sent to the Vault (except
           * for Asset Manager deposits).
           *
           * Updates the last total balance change block, even if `amount` is zero.
           */
          function increaseCash(bytes32 balance, uint256 amount) internal view returns (bytes32) {
              uint256 newCash = cash(balance).add(amount);
              uint256 currentManaged = managed(balance);
              uint256 newLastChangeBlock = block.number;
              return toBalance(newCash, currentManaged, newLastChangeBlock);
          }
          /**
           * @dev Decreases a Pool's 'cash' (and therefore its 'total'). Called when Pool tokens are sent from the Vault
           * (except for Asset Manager withdrawals).
           *
           * Updates the last total balance change block, even if `amount` is zero.
           */
          function decreaseCash(bytes32 balance, uint256 amount) internal view returns (bytes32) {
              uint256 newCash = cash(balance).sub(amount);
              uint256 currentManaged = managed(balance);
              uint256 newLastChangeBlock = block.number;
              return toBalance(newCash, currentManaged, newLastChangeBlock);
          }
          /**
           * @dev Moves 'cash' into 'managed', leaving 'total' unchanged. Called when an Asset Manager withdraws Pool tokens
           * from the Vault.
           */
          function cashToManaged(bytes32 balance, uint256 amount) internal pure returns (bytes32) {
              uint256 newCash = cash(balance).sub(amount);
              uint256 newManaged = managed(balance).add(amount);
              uint256 currentLastChangeBlock = lastChangeBlock(balance);
              return toBalance(newCash, newManaged, currentLastChangeBlock);
          }
          /**
           * @dev Moves 'managed' into 'cash', leaving 'total' unchanged. Called when an Asset Manager deposits Pool tokens
           * into the Vault.
           */
          function managedToCash(bytes32 balance, uint256 amount) internal pure returns (bytes32) {
              uint256 newCash = cash(balance).add(amount);
              uint256 newManaged = managed(balance).sub(amount);
              uint256 currentLastChangeBlock = lastChangeBlock(balance);
              return toBalance(newCash, newManaged, currentLastChangeBlock);
          }
          /**
           * @dev Sets 'managed' balance to an arbitrary value, changing 'total'. Called when the Asset Manager reports
           * profits or losses. It's the Manager's responsibility to provide a meaningful value.
           *
           * Updates the last total balance change block, even if `newManaged` is equal to the current 'managed' value.
           */
          function setManaged(bytes32 balance, uint256 newManaged) internal view returns (bytes32) {
              uint256 currentCash = cash(balance);
              uint256 newLastChangeBlock = block.number;
              return toBalance(currentCash, newManaged, newLastChangeBlock);
          }
          // Alternative mode for Pools with the Two Token specialization setting
          // Instead of storing cash and external for each 'token in' a single storage slot, Two Token Pools store the cash
          // for both tokens in the same slot, and the managed for both in another one. This reduces the gas cost for swaps,
          // because the only slot that needs to be updated is the one with the cash. However, it also means that managing
          // balances is more cumbersome, as both tokens need to be read/written at the same time.
          //
          // The field with both cash balances packed is called sharedCash, and the one with external amounts is called
          // sharedManaged. These two are collectively called the 'shared' balance fields. In both of these, the portion
          // that corresponds to token A is stored in the least significant 112 bits of a 256 bit word, while token B's part
          // uses the next least significant 112 bits.
          //
          // Because only cash is written to during a swap, we store the last total balance change block with the
          // packed cash fields. Typically Pools have a distinct block per token: in the case of Two Token Pools they
          // are the same.
          /**
           * @dev Extracts the part of the balance that corresponds to token A. This function can be used to decode both
           * shared cash and managed balances.
           */
          function _decodeBalanceA(bytes32 sharedBalance) private pure returns (uint256) {
              uint256 mask = 2**(112) - 1;
              return uint256(sharedBalance) & mask;
          }
          /**
           * @dev Extracts the part of the balance that corresponds to token B. This function can be used to decode both
           * shared cash and managed balances.
           */
          function _decodeBalanceB(bytes32 sharedBalance) private pure returns (uint256) {
              uint256 mask = 2**(112) - 1;
              return uint256(sharedBalance >> 112) & mask;
          }
          // To decode the last balance change block, we can simply use the `blockNumber` function.
          /**
           * @dev Unpacks the shared token A and token B cash and managed balances into the balance for token A.
           */
          function fromSharedToBalanceA(bytes32 sharedCash, bytes32 sharedManaged) internal pure returns (bytes32) {
              // Note that we extract the block from the sharedCash field, which is the one that is updated by swaps.
              // Both token A and token B use the same block
              return toBalance(_decodeBalanceA(sharedCash), _decodeBalanceA(sharedManaged), lastChangeBlock(sharedCash));
          }
          /**
           * @dev Unpacks the shared token A and token B cash and managed balances into the balance for token B.
           */
          function fromSharedToBalanceB(bytes32 sharedCash, bytes32 sharedManaged) internal pure returns (bytes32) {
              // Note that we extract the block from the sharedCash field, which is the one that is updated by swaps.
              // Both token A and token B use the same block
              return toBalance(_decodeBalanceB(sharedCash), _decodeBalanceB(sharedManaged), lastChangeBlock(sharedCash));
          }
          /**
           * @dev Returns the sharedCash shared field, given the current balances for token A and token B.
           */
          function toSharedCash(bytes32 tokenABalance, bytes32 tokenBBalance) internal pure returns (bytes32) {
              // Both balances are assigned the same block  Since it is possible a single one of them has changed (for
              // example, in an Asset Manager update), we keep the latest (largest) one.
              uint32 newLastChangeBlock = uint32(Math.max(lastChangeBlock(tokenABalance), lastChangeBlock(tokenBBalance)));
              return _pack(cash(tokenABalance), cash(tokenBBalance), newLastChangeBlock);
          }
          /**
           * @dev Returns the sharedManaged shared field, given the current balances for token A and token B.
           */
          function toSharedManaged(bytes32 tokenABalance, bytes32 tokenBBalance) internal pure returns (bytes32) {
              // We don't bother storing a last change block, as it is read from the shared cash field.
              return _pack(managed(tokenABalance), managed(tokenBBalance), 0);
          }
          // Shared functions
          /**
           * @dev Packs together two uint112 and one uint32 into a bytes32
           */
          function _pack(
              uint256 _leastSignificant,
              uint256 _midSignificant,
              uint256 _mostSignificant
          ) private pure returns (bytes32) {
              return bytes32((_mostSignificant << 224) + (_midSignificant << 112) + _leastSignificant);
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "./AssetManagers.sol";
      import "./PoolRegistry.sol";
      import "./balances/BalanceAllocation.sol";
      abstract contract PoolTokens is ReentrancyGuard, PoolRegistry, AssetManagers {
          using BalanceAllocation for bytes32;
          using BalanceAllocation for bytes32[];
          function registerTokens(
              bytes32 poolId,
              IERC20[] memory tokens,
              address[] memory assetManagers
          ) external override nonReentrant whenNotPaused onlyPool(poolId) {
              InputHelpers.ensureInputLengthMatch(tokens.length, assetManagers.length);
              // Validates token addresses and assigns Asset Managers
              for (uint256 i = 0; i < tokens.length; ++i) {
                  IERC20 token = tokens[i];
                  _require(token != IERC20(0), Errors.INVALID_TOKEN);
                  _poolAssetManagers[poolId][token] = assetManagers[i];
              }
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  _require(tokens.length == 2, Errors.TOKENS_LENGTH_MUST_BE_2);
                  _registerTwoTokenPoolTokens(poolId, tokens[0], tokens[1]);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  _registerMinimalSwapInfoPoolTokens(poolId, tokens);
              } else {
                  // PoolSpecialization.GENERAL
                  _registerGeneralPoolTokens(poolId, tokens);
              }
              emit TokensRegistered(poolId, tokens, assetManagers);
          }
          function deregisterTokens(bytes32 poolId, IERC20[] memory tokens)
              external
              override
              nonReentrant
              whenNotPaused
              onlyPool(poolId)
          {
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  _require(tokens.length == 2, Errors.TOKENS_LENGTH_MUST_BE_2);
                  _deregisterTwoTokenPoolTokens(poolId, tokens[0], tokens[1]);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  _deregisterMinimalSwapInfoPoolTokens(poolId, tokens);
              } else {
                  // PoolSpecialization.GENERAL
                  _deregisterGeneralPoolTokens(poolId, tokens);
              }
              // The deregister calls above ensure the total token balance is zero. Therefore it is now safe to remove any
              // associated Asset Managers, since they hold no Pool balance.
              for (uint256 i = 0; i < tokens.length; ++i) {
                  delete _poolAssetManagers[poolId][tokens[i]];
              }
              emit TokensDeregistered(poolId, tokens);
          }
          function getPoolTokens(bytes32 poolId)
              external
              view
              override
              withRegisteredPool(poolId)
              returns (
                  IERC20[] memory tokens,
                  uint256[] memory balances,
                  uint256 lastChangeBlock
              )
          {
              bytes32[] memory rawBalances;
              (tokens, rawBalances) = _getPoolTokens(poolId);
              (balances, lastChangeBlock) = rawBalances.totalsAndLastChangeBlock();
          }
          function getPoolTokenInfo(bytes32 poolId, IERC20 token)
              external
              view
              override
              withRegisteredPool(poolId)
              returns (
                  uint256 cash,
                  uint256 managed,
                  uint256 lastChangeBlock,
                  address assetManager
              )
          {
              bytes32 balance;
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  balance = _getTwoTokenPoolBalance(poolId, token);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  balance = _getMinimalSwapInfoPoolBalance(poolId, token);
              } else {
                  // PoolSpecialization.GENERAL
                  balance = _getGeneralPoolBalance(poolId, token);
              }
              cash = balance.cash();
              managed = balance.managed();
              lastChangeBlock = balance.lastChangeBlock();
              assetManager = _poolAssetManagers[poolId][token];
          }
          /**
           * @dev Returns all of `poolId`'s registered tokens, along with their raw balances.
           */
          function _getPoolTokens(bytes32 poolId) internal view returns (IERC20[] memory tokens, bytes32[] memory balances) {
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  return _getTwoTokenPoolTokens(poolId);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  return _getMinimalSwapInfoPoolTokens(poolId);
              } else {
                  // PoolSpecialization.GENERAL
                  return _getGeneralPoolTokens(poolId);
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/math/Math.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "../lib/openzeppelin/SafeCast.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "./AssetTransfersHandler.sol";
      import "./VaultAuthorization.sol";
      /**
       * Implement User Balance interactions, which combine Internal Balance and using the Vault's ERC20 allowance.
       *
       * Users can deposit tokens into the Vault, where they are allocated to their Internal Balance, and later
       * transferred or withdrawn. It can also be used as a source of tokens when joining Pools, as a destination
       * when exiting them, and as either when performing swaps. This usage of Internal Balance results in greatly reduced
       * gas costs when compared to relying on plain ERC20 transfers, leading to large savings for frequent users.
       *
       * Internal Balance management features batching, which means a single contract call can be used to perform multiple
       * operations of different kinds, with different senders and recipients, at once.
       */
      abstract contract UserBalance is ReentrancyGuard, AssetTransfersHandler, VaultAuthorization {
          using Math for uint256;
          using SafeCast for uint256;
          using SafeERC20 for IERC20;
          // Internal Balance for each token, for each account.
          mapping(address => mapping(IERC20 => uint256)) private _internalTokenBalance;
          function getInternalBalance(address user, IERC20[] memory tokens)
              external
              view
              override
              returns (uint256[] memory balances)
          {
              balances = new uint256[](tokens.length);
              for (uint256 i = 0; i < tokens.length; i++) {
                  balances[i] = _getInternalBalance(user, tokens[i]);
              }
          }
          function manageUserBalance(UserBalanceOp[] memory ops) external payable override nonReentrant {
              // We need to track how much of the received ETH was used and wrapped into WETH to return any excess.
              uint256 ethWrapped = 0;
              // Cache for these checks so we only perform them once (if at all).
              bool checkedCallerIsRelayer = false;
              bool checkedNotPaused = false;
              for (uint256 i = 0; i < ops.length; i++) {
                  UserBalanceOpKind kind;
                  IAsset asset;
                  uint256 amount;
                  address sender;
                  address payable recipient;
                  // This destructuring by calling `_validateUserBalanceOp` seems odd, but results in reduced bytecode size.
                  (kind, asset, amount, sender, recipient, checkedCallerIsRelayer) = _validateUserBalanceOp(
                      ops[i],
                      checkedCallerIsRelayer
                  );
                  if (kind == UserBalanceOpKind.WITHDRAW_INTERNAL) {
                      // Internal Balance withdrawals can always be performed by an authorized account.
                      _withdrawFromInternalBalance(asset, sender, recipient, amount);
                  } else {
                      // All other operations are blocked if the contract is paused.
                      // We cache the result of the pause check and skip it for other operations in this same transaction
                      // (if any).
                      if (!checkedNotPaused) {
                          _ensureNotPaused();
                          checkedNotPaused = true;
                      }
                      if (kind == UserBalanceOpKind.DEPOSIT_INTERNAL) {
                          _depositToInternalBalance(asset, sender, recipient, amount);
                          // Keep track of all ETH wrapped into WETH as part of a deposit.
                          if (_isETH(asset)) {
                              ethWrapped = ethWrapped.add(amount);
                          }
                      } else {
                          // Transfers don't support ETH.
                          _require(!_isETH(asset), Errors.CANNOT_USE_ETH_SENTINEL);
                          IERC20 token = _asIERC20(asset);
                          if (kind == UserBalanceOpKind.TRANSFER_INTERNAL) {
                              _transferInternalBalance(token, sender, recipient, amount);
                          } else {
                              // TRANSFER_EXTERNAL
                              _transferToExternalBalance(token, sender, recipient, amount);
                          }
                      }
                  }
              }
              // Handle any remaining ETH.
              _handleRemainingEth(ethWrapped);
          }
          function _depositToInternalBalance(
              IAsset asset,
              address sender,
              address recipient,
              uint256 amount
          ) private {
              _increaseInternalBalance(recipient, _translateToIERC20(asset), amount);
              _receiveAsset(asset, amount, sender, false);
          }
          function _withdrawFromInternalBalance(
              IAsset asset,
              address sender,
              address payable recipient,
              uint256 amount
          ) private {
              // A partial decrease of Internal Balance is disallowed: `sender` must have the full `amount`.
              _decreaseInternalBalance(sender, _translateToIERC20(asset), amount, false);
              _sendAsset(asset, amount, recipient, false);
          }
          function _transferInternalBalance(
              IERC20 token,
              address sender,
              address recipient,
              uint256 amount
          ) private {
              // A partial decrease of Internal Balance is disallowed: `sender` must have the full `amount`.
              _decreaseInternalBalance(sender, token, amount, false);
              _increaseInternalBalance(recipient, token, amount);
          }
          function _transferToExternalBalance(
              IERC20 token,
              address sender,
              address recipient,
              uint256 amount
          ) private {
              if (amount > 0) {
                  token.safeTransferFrom(sender, recipient, amount);
                  emit ExternalBalanceTransfer(token, sender, recipient, amount);
              }
          }
          /**
           * @dev Increases `account`'s Internal Balance for `token` by `amount`.
           */
          function _increaseInternalBalance(
              address account,
              IERC20 token,
              uint256 amount
          ) internal override {
              uint256 currentBalance = _getInternalBalance(account, token);
              uint256 newBalance = currentBalance.add(amount);
              _setInternalBalance(account, token, newBalance, amount.toInt256());
          }
          /**
           * @dev Decreases `account`'s Internal Balance for `token` by `amount`. If `allowPartial` is true, this function
           * doesn't revert if `account` doesn't have enough balance, and sets it to zero and returns the deducted amount
           * instead.
           */
          function _decreaseInternalBalance(
              address account,
              IERC20 token,
              uint256 amount,
              bool allowPartial
          ) internal override returns (uint256 deducted) {
              uint256 currentBalance = _getInternalBalance(account, token);
              _require(allowPartial || (currentBalance >= amount), Errors.INSUFFICIENT_INTERNAL_BALANCE);
              deducted = Math.min(currentBalance, amount);
              // By construction, `deducted` is lower or equal to `currentBalance`, so we don't need to use checked
              // arithmetic.
              uint256 newBalance = currentBalance - deducted;
              _setInternalBalance(account, token, newBalance, -(deducted.toInt256()));
          }
          /**
           * @dev Sets `account`'s Internal Balance for `token` to `newBalance`.
           *
           * Emits an `InternalBalanceChanged` event. This event includes `delta`, which is the amount the balance increased
           * (if positive) or decreased (if negative). To avoid reading the current balance in order to compute the delta,
           * this function relies on the caller providing it directly.
           */
          function _setInternalBalance(
              address account,
              IERC20 token,
              uint256 newBalance,
              int256 delta
          ) private {
              _internalTokenBalance[account][token] = newBalance;
              emit InternalBalanceChanged(account, token, delta);
          }
          /**
           * @dev Returns `account`'s Internal Balance for `token`.
           */
          function _getInternalBalance(address account, IERC20 token) internal view returns (uint256) {
              return _internalTokenBalance[account][token];
          }
          /**
           * @dev Destructures a User Balance operation, validating that the contract caller is allowed to perform it.
           */
          function _validateUserBalanceOp(UserBalanceOp memory op, bool checkedCallerIsRelayer)
              private
              view
              returns (
                  UserBalanceOpKind,
                  IAsset,
                  uint256,
                  address,
                  address payable,
                  bool
              )
          {
              // The only argument we need to validate is `sender`, which can only be either the contract caller, or a
              // relayer approved by `sender`.
              address sender = op.sender;
              if (sender != msg.sender) {
                  // We need to check both that the contract caller is a relayer, and that `sender` approved them.
                  // Because the relayer check is global (i.e. independent of `sender`), we cache that result and skip it for
                  // other operations in this same transaction (if any).
                  if (!checkedCallerIsRelayer) {
                      _authenticateCaller();
                      checkedCallerIsRelayer = true;
                  }
                  _require(_hasApprovedRelayer(sender, msg.sender), Errors.USER_DOESNT_ALLOW_RELAYER);
              }
              return (op.kind, op.asset, op.amount, sender, op.recipient, checkedCallerIsRelayer);
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "./IVault.sol";
      import "./IPoolSwapStructs.sol";
      /**
       * @dev Interface for adding and removing liquidity that all Pool contracts should implement. Note that this is not
       * the complete Pool contract interface, as it is missing the swap hooks. Pool contracts should also inherit from
       * either IGeneralPool or IMinimalSwapInfoPool
       */
      interface IBasePool is IPoolSwapStructs {
          /**
           * @dev Called by the Vault when a user calls `IVault.joinPool` to add liquidity to this Pool. Returns how many of
           * each registered token the user should provide, as well as the amount of protocol fees the Pool owes to the Vault.
           * The Vault will then take tokens from `sender` and add them to the Pool's balances, as well as collect
           * the reported amount in protocol fees, which the pool should calculate based on `protocolSwapFeePercentage`.
           *
           * Protocol fees are reported and charged on join events so that the Pool is free of debt whenever new users join.
           *
           * `sender` is the account performing the join (from which tokens will be withdrawn), and `recipient` is the account
           * designated to receive any benefits (typically pool shares). `currentBalances` contains the total balances
           * for each token the Pool registered in the Vault, in the same order that `IVault.getPoolTokens` would return.
           *
           * `lastChangeBlock` is the last block in which *any* of the Pool's registered tokens last changed its total
           * balance.
           *
           * `userData` contains any pool-specific instructions needed to perform the calculations, such as the type of
           * join (e.g., proportional given an amount of pool shares, single-asset, multi-asset, etc.)
           *
           * Contracts implementing this function should check that the caller is indeed the Vault before performing any
           * state-changing operations, such as minting pool shares.
           */
          function onJoinPool(
              bytes32 poolId,
              address sender,
              address recipient,
              uint256[] memory balances,
              uint256 lastChangeBlock,
              uint256 protocolSwapFeePercentage,
              bytes memory userData
          ) external returns (uint256[] memory amountsIn, uint256[] memory dueProtocolFeeAmounts);
          /**
           * @dev Called by the Vault when a user calls `IVault.exitPool` to remove liquidity from this Pool. Returns how many
           * tokens the Vault should deduct from the Pool's balances, as well as the amount of protocol fees the Pool owes
           * to the Vault. The Vault will then take tokens from the Pool's balances and send them to `recipient`,
           * as well as collect the reported amount in protocol fees, which the Pool should calculate based on
           * `protocolSwapFeePercentage`.
           *
           * Protocol fees are charged on exit events to guarantee that users exiting the Pool have paid their share.
           *
           * `sender` is the account performing the exit (typically the pool shareholder), and `recipient` is the account
           * to which the Vault will send the proceeds. `currentBalances` contains the total token balances for each token
           * the Pool registered in the Vault, in the same order that `IVault.getPoolTokens` would return.
           *
           * `lastChangeBlock` is the last block in which *any* of the Pool's registered tokens last changed its total
           * balance.
           *
           * `userData` contains any pool-specific instructions needed to perform the calculations, such as the type of
           * exit (e.g., proportional given an amount of pool shares, single-asset, multi-asset, etc.)
           *
           * Contracts implementing this function should check that the caller is indeed the Vault before performing any
           * state-changing operations, such as burning pool shares.
           */
          function onExitPool(
              bytes32 poolId,
              address sender,
              address recipient,
              uint256[] memory balances,
              uint256 lastChangeBlock,
              uint256 protocolSwapFeePercentage,
              bytes memory userData
          ) external returns (uint256[] memory amountsOut, uint256[] memory dueProtocolFeeAmounts);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/math/Math.sol";
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/helpers/InputHelpers.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "./UserBalance.sol";
      import "./balances/BalanceAllocation.sol";
      import "./balances/GeneralPoolsBalance.sol";
      import "./balances/MinimalSwapInfoPoolsBalance.sol";
      import "./balances/TwoTokenPoolsBalance.sol";
      abstract contract AssetManagers is
          ReentrancyGuard,
          GeneralPoolsBalance,
          MinimalSwapInfoPoolsBalance,
          TwoTokenPoolsBalance
      {
          using Math for uint256;
          using SafeERC20 for IERC20;
          // Stores the Asset Manager for each token of each Pool.
          mapping(bytes32 => mapping(IERC20 => address)) internal _poolAssetManagers;
          function managePoolBalance(PoolBalanceOp[] memory ops) external override nonReentrant whenNotPaused {
              // This variable could be declared inside the loop, but that causes the compiler to allocate memory on each
              // loop iteration, increasing gas costs.
              PoolBalanceOp memory op;
              for (uint256 i = 0; i < ops.length; ++i) {
                  // By indexing the array only once, we don't spend extra gas in the same bounds check.
                  op = ops[i];
                  bytes32 poolId = op.poolId;
                  _ensureRegisteredPool(poolId);
                  IERC20 token = op.token;
                  _require(_isTokenRegistered(poolId, token), Errors.TOKEN_NOT_REGISTERED);
                  _require(_poolAssetManagers[poolId][token] == msg.sender, Errors.SENDER_NOT_ASSET_MANAGER);
                  PoolBalanceOpKind kind = op.kind;
                  uint256 amount = op.amount;
                  (int256 cashDelta, int256 managedDelta) = _performPoolManagementOperation(kind, poolId, token, amount);
                  emit PoolBalanceManaged(poolId, msg.sender, token, cashDelta, managedDelta);
              }
          }
          /**
           * @dev Performs the `kind` Asset Manager operation on a Pool.
           *
           * Withdrawals will transfer `amount` tokens to the caller, deposits will transfer `amount` tokens from the caller,
           * and updates will set the managed balance to `amount`.
           *
           * Returns a tuple with the 'cash' and 'managed' balance deltas as a result of this call.
           */
          function _performPoolManagementOperation(
              PoolBalanceOpKind kind,
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) private returns (int256, int256) {
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (kind == PoolBalanceOpKind.WITHDRAW) {
                  return _withdrawPoolBalance(poolId, specialization, token, amount);
              } else if (kind == PoolBalanceOpKind.DEPOSIT) {
                  return _depositPoolBalance(poolId, specialization, token, amount);
              } else {
                  // PoolBalanceOpKind.UPDATE
                  return _updateManagedBalance(poolId, specialization, token, amount);
              }
          }
          /**
           * @dev Moves `amount` tokens from a Pool's 'cash' to 'managed' balance, and transfers them to the caller.
           *
           * Returns the 'cash' and 'managed' balance deltas as a result of this call, which will be complementary.
           */
          function _withdrawPoolBalance(
              bytes32 poolId,
              PoolSpecialization specialization,
              IERC20 token,
              uint256 amount
          ) private returns (int256 cashDelta, int256 managedDelta) {
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  _twoTokenPoolCashToManaged(poolId, token, amount);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  _minimalSwapInfoPoolCashToManaged(poolId, token, amount);
              } else {
                  // PoolSpecialization.GENERAL
                  _generalPoolCashToManaged(poolId, token, amount);
              }
              if (amount > 0) {
                  token.safeTransfer(msg.sender, amount);
              }
              // Since 'cash' and 'managed' are stored as uint112, `amount` is guaranteed to also fit in 112 bits. It will
              // therefore always fit in a 256 bit integer.
              cashDelta = int256(-amount);
              managedDelta = int256(amount);
          }
          /**
           * @dev Moves `amount` tokens from a Pool's 'managed' to 'cash' balance, and transfers them from the caller.
           *
           * Returns the 'cash' and 'managed' balance deltas as a result of this call, which will be complementary.
           */
          function _depositPoolBalance(
              bytes32 poolId,
              PoolSpecialization specialization,
              IERC20 token,
              uint256 amount
          ) private returns (int256 cashDelta, int256 managedDelta) {
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  _twoTokenPoolManagedToCash(poolId, token, amount);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  _minimalSwapInfoPoolManagedToCash(poolId, token, amount);
              } else {
                  // PoolSpecialization.GENERAL
                  _generalPoolManagedToCash(poolId, token, amount);
              }
              if (amount > 0) {
                  token.safeTransferFrom(msg.sender, address(this), amount);
              }
              // Since 'cash' and 'managed' are stored as uint112, `amount` is guaranteed to also fit in 112 bits. It will
              // therefore always fit in a 256 bit integer.
              cashDelta = int256(amount);
              managedDelta = int256(-amount);
          }
          /**
           * @dev Sets a Pool's 'managed' balance to `amount`.
           *
           * Returns the 'cash' and 'managed' balance deltas as a result of this call (the 'cash' delta will always be zero).
           */
          function _updateManagedBalance(
              bytes32 poolId,
              PoolSpecialization specialization,
              IERC20 token,
              uint256 amount
          ) private returns (int256 cashDelta, int256 managedDelta) {
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  managedDelta = _setTwoTokenPoolManagedBalance(poolId, token, amount);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  managedDelta = _setMinimalSwapInfoPoolManagedBalance(poolId, token, amount);
              } else {
                  // PoolSpecialization.GENERAL
                  managedDelta = _setGeneralPoolManagedBalance(poolId, token, amount);
              }
              cashDelta = 0;
          }
          /**
           * @dev Returns true if `token` is registered for `poolId`.
           */
          function _isTokenRegistered(bytes32 poolId, IERC20 token) private view returns (bool) {
              PoolSpecialization specialization = _getPoolSpecialization(poolId);
              if (specialization == PoolSpecialization.TWO_TOKEN) {
                  return _isTwoTokenPoolTokenRegistered(poolId, token);
              } else if (specialization == PoolSpecialization.MINIMAL_SWAP_INFO) {
                  return _isMinimalSwapInfoPoolTokenRegistered(poolId, token);
              } else {
                  // PoolSpecialization.GENERAL
                  return _isGeneralPoolTokenRegistered(poolId, token);
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/openzeppelin/ReentrancyGuard.sol";
      import "./VaultAuthorization.sol";
      /**
       * @dev Maintains the Pool ID data structure, implements Pool ID creation and registration, and defines useful modifiers
       * and helper functions for ensuring correct behavior when working with Pools.
       */
      abstract contract PoolRegistry is ReentrancyGuard, VaultAuthorization {
          // Each pool is represented by their unique Pool ID. We use `bytes32` for them, for lack of a way to define new
          // types.
          mapping(bytes32 => bool) private _isPoolRegistered;
          // We keep an increasing nonce to make Pool IDs unique. It is interpreted as a `uint80`, but storing it as a
          // `uint256` results in reduced bytecode on reads and writes due to the lack of masking.
          uint256 private _nextPoolNonce;
          /**
           * @dev Reverts unless `poolId` corresponds to a registered Pool.
           */
          modifier withRegisteredPool(bytes32 poolId) {
              _ensureRegisteredPool(poolId);
              _;
          }
          /**
           * @dev Reverts unless `poolId` corresponds to a registered Pool, and the caller is the Pool's contract.
           */
          modifier onlyPool(bytes32 poolId) {
              _ensurePoolIsSender(poolId);
              _;
          }
          /**
           * @dev Reverts unless `poolId` corresponds to a registered Pool.
           */
          function _ensureRegisteredPool(bytes32 poolId) internal view {
              _require(_isPoolRegistered[poolId], Errors.INVALID_POOL_ID);
          }
          /**
           * @dev Reverts unless `poolId` corresponds to a registered Pool, and the caller is the Pool's contract.
           */
          function _ensurePoolIsSender(bytes32 poolId) private view {
              _ensureRegisteredPool(poolId);
              _require(msg.sender == _getPoolAddress(poolId), Errors.CALLER_NOT_POOL);
          }
          function registerPool(PoolSpecialization specialization)
              external
              override
              nonReentrant
              whenNotPaused
              returns (bytes32)
          {
              // Each Pool is assigned a unique ID based on an incrementing nonce. This assumes there will never be more than
              // 2**80 Pools, and the nonce will not overflow.
              bytes32 poolId = _toPoolId(msg.sender, specialization, uint80(_nextPoolNonce));
              _require(!_isPoolRegistered[poolId], Errors.INVALID_POOL_ID); // Should never happen as Pool IDs are unique.
              _isPoolRegistered[poolId] = true;
              _nextPoolNonce += 1;
              // Note that msg.sender is the pool's contract
              emit PoolRegistered(poolId, msg.sender, specialization);
              return poolId;
          }
          function getPool(bytes32 poolId)
              external
              view
              override
              withRegisteredPool(poolId)
              returns (address, PoolSpecialization)
          {
              return (_getPoolAddress(poolId), _getPoolSpecialization(poolId));
          }
          /**
           * @dev Creates a Pool ID.
           *
           * These are deterministically created by packing the Pool's contract address and its specialization setting into
           * the ID. This saves gas by making this data easily retrievable from a Pool ID with no storage accesses.
           *
           * Since a single contract can register multiple Pools, a unique nonce must be provided to ensure Pool IDs are
           * unique.
           *
           * Pool IDs have the following layout:
           * | 20 bytes pool contract address | 2 bytes specialization setting | 10 bytes nonce |
           * MSB                                                                              LSB
           *
           * 2 bytes for the specialization setting is a bit overkill: there only three of them, which means two bits would
           * suffice. However, there's nothing else of interest to store in this extra space.
           */
          function _toPoolId(
              address pool,
              PoolSpecialization specialization,
              uint80 nonce
          ) internal pure returns (bytes32) {
              bytes32 serialized;
              serialized |= bytes32(uint256(nonce));
              serialized |= bytes32(uint256(specialization)) << (10 * 8);
              serialized |= bytes32(uint256(pool)) << (12 * 8);
              return serialized;
          }
          /**
           * @dev Returns the address of a Pool's contract.
           *
           * Due to how Pool IDs are created, this is done with no storage accesses and costs little gas.
           */
          function _getPoolAddress(bytes32 poolId) internal pure returns (address) {
              // 12 byte logical shift left to remove the nonce and specialization setting. We don't need to mask,
              // since the logical shift already sets the upper bits to zero.
              return address(uint256(poolId) >> (12 * 8));
          }
          /**
           * @dev Returns the specialization setting of a Pool.
           *
           * Due to how Pool IDs are created, this is done with no storage accesses and costs little gas.
           */
          function _getPoolSpecialization(bytes32 poolId) internal pure returns (PoolSpecialization specialization) {
              // 10 byte logical shift left to remove the nonce, followed by a 2 byte mask to remove the address.
              uint256 value = uint256(poolId >> (10 * 8)) & (2**(2 * 8) - 1);
              // Casting a value into an enum results in a runtime check that reverts unless the value is within the enum's
              // range. Passing an invalid Pool ID to this function would then result in an obscure revert with no reason
              // string: we instead perform the check ourselves to help in error diagnosis.
              // There are three Pool specialization settings: general, minimal swap info and two tokens, which correspond to
              // values 0, 1 and 2.
              _require(value < 3, Errors.INVALID_POOL_ID);
              // Because we have checked that `value` is within the enum range, we can use assembly to skip the runtime check.
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  specialization := value
              }
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "../../lib/helpers/BalancerErrors.sol";
      import "../../lib/openzeppelin/EnumerableMap.sol";
      import "../../lib/openzeppelin/IERC20.sol";
      import "./BalanceAllocation.sol";
      abstract contract GeneralPoolsBalance {
          using BalanceAllocation for bytes32;
          using EnumerableMap for EnumerableMap.IERC20ToBytes32Map;
          // Data for Pools with the General specialization setting
          //
          // These Pools use the IGeneralPool interface, which means the Vault must query the balance for *all* of their
          // tokens in every swap. If we kept a mapping of token to balance plus a set (array) of tokens, it'd be very gas
          // intensive to read all token addresses just to then do a lookup on the balance mapping.
          //
          // Instead, we use our customized EnumerableMap, which lets us read the N balances in N+1 storage accesses (one for
          // each token in the Pool), access the index of any 'token in' a single read (required for the IGeneralPool call),
          // and update an entry's value given its index.
          // Map of token -> balance pairs for each Pool with this specialization. Many functions rely on storage pointers to
          // a Pool's EnumerableMap to save gas when computing storage slots.
          mapping(bytes32 => EnumerableMap.IERC20ToBytes32Map) internal _generalPoolsBalances;
          /**
           * @dev Registers a list of tokens in a General Pool.
           *
           * This function assumes `poolId` exists and corresponds to the General specialization setting.
           *
           * Requirements:
           *
           * - `tokens` must not be registered in the Pool
           * - `tokens` must not contain duplicates
           */
          function _registerGeneralPoolTokens(bytes32 poolId, IERC20[] memory tokens) internal {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              for (uint256 i = 0; i < tokens.length; ++i) {
                  // EnumerableMaps require an explicit initial value when creating a key-value pair: we use zero, the same
                  // value that is found in uninitialized storage, which corresponds to an empty balance.
                  bool added = poolBalances.set(tokens[i], 0);
                  _require(added, Errors.TOKEN_ALREADY_REGISTERED);
              }
          }
          /**
           * @dev Deregisters a list of tokens in a General Pool.
           *
           * This function assumes `poolId` exists and corresponds to the General specialization setting.
           *
           * Requirements:
           *
           * - `tokens` must be registered in the Pool
           * - `tokens` must have zero balance in the Vault
           * - `tokens` must not contain duplicates
           */
          function _deregisterGeneralPoolTokens(bytes32 poolId, IERC20[] memory tokens) internal {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              for (uint256 i = 0; i < tokens.length; ++i) {
                  IERC20 token = tokens[i];
                  bytes32 currentBalance = _getGeneralPoolBalance(poolBalances, token);
                  _require(currentBalance.isZero(), Errors.NONZERO_TOKEN_BALANCE);
                  // We don't need to check remove's return value, since _getGeneralPoolBalance already checks that the token
                  // was registered.
                  poolBalances.remove(token);
              }
          }
          /**
           * @dev Sets the balances of a General Pool's tokens to `balances`.
           *
           * WARNING: this assumes `balances` has the same length and order as the Pool's tokens.
           */
          function _setGeneralPoolBalances(bytes32 poolId, bytes32[] memory balances) internal {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              for (uint256 i = 0; i < balances.length; ++i) {
                  // Since we assume all balances are properly ordered, we can simply use `unchecked_setAt` to avoid one less
                  // storage read per token.
                  poolBalances.unchecked_setAt(i, balances[i]);
              }
          }
          /**
           * @dev Transforms `amount` of `token`'s balance in a General Pool from cash into managed.
           *
           * This function assumes `poolId` exists, corresponds to the General specialization setting, and that `token` is
           * registered for that Pool.
           */
          function _generalPoolCashToManaged(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal {
              _updateGeneralPoolBalance(poolId, token, BalanceAllocation.cashToManaged, amount);
          }
          /**
           * @dev Transforms `amount` of `token`'s balance in a General Pool from managed into cash.
           *
           * This function assumes `poolId` exists, corresponds to the General specialization setting, and that `token` is
           * registered for that Pool.
           */
          function _generalPoolManagedToCash(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal {
              _updateGeneralPoolBalance(poolId, token, BalanceAllocation.managedToCash, amount);
          }
          /**
           * @dev Sets `token`'s managed balance in a General Pool to `amount`.
           *
           * This function assumes `poolId` exists, corresponds to the General specialization setting, and that `token` is
           * registered for that Pool.
           *
           * Returns the managed balance delta as a result of this call.
           */
          function _setGeneralPoolManagedBalance(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal returns (int256) {
              return _updateGeneralPoolBalance(poolId, token, BalanceAllocation.setManaged, amount);
          }
          /**
           * @dev Sets `token`'s balance in a General Pool to the result of the `mutation` function when called with the
           * current balance and `amount`.
           *
           * This function assumes `poolId` exists, corresponds to the General specialization setting, and that `token` is
           * registered for that Pool.
           *
           * Returns the managed balance delta as a result of this call.
           */
          function _updateGeneralPoolBalance(
              bytes32 poolId,
              IERC20 token,
              function(bytes32, uint256) returns (bytes32) mutation,
              uint256 amount
          ) private returns (int256) {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              bytes32 currentBalance = _getGeneralPoolBalance(poolBalances, token);
              bytes32 newBalance = mutation(currentBalance, amount);
              poolBalances.set(token, newBalance);
              return newBalance.managedDelta(currentBalance);
          }
          /**
           * @dev Returns an array with all the tokens and balances in a General Pool. The order may change when tokens are
           * registered or deregistered.
           *
           * This function assumes `poolId` exists and corresponds to the General specialization setting.
           */
          function _getGeneralPoolTokens(bytes32 poolId)
              internal
              view
              returns (IERC20[] memory tokens, bytes32[] memory balances)
          {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              tokens = new IERC20[](poolBalances.length());
              balances = new bytes32[](tokens.length);
              for (uint256 i = 0; i < tokens.length; ++i) {
                  // Because the iteration is bounded by `tokens.length`, which matches the EnumerableMap's length, we can use
                  // `unchecked_at` as we know `i` is a valid token index, saving storage reads.
                  (tokens[i], balances[i]) = poolBalances.unchecked_at(i);
              }
          }
          /**
           * @dev Returns the balance of a token in a General Pool.
           *
           * This function assumes `poolId` exists and corresponds to the General specialization setting.
           *
           * Requirements:
           *
           * - `token` must be registered in the Pool
           */
          function _getGeneralPoolBalance(bytes32 poolId, IERC20 token) internal view returns (bytes32) {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              return _getGeneralPoolBalance(poolBalances, token);
          }
          /**
           * @dev Same as `_getGeneralPoolBalance` but using a Pool's storage pointer, which saves gas in repeated reads and
           * writes.
           */
          function _getGeneralPoolBalance(EnumerableMap.IERC20ToBytes32Map storage poolBalances, IERC20 token)
              private
              view
              returns (bytes32)
          {
              return poolBalances.get(token, Errors.TOKEN_NOT_REGISTERED);
          }
          /**
           * @dev Returns true if `token` is registered in a General Pool.
           *
           * This function assumes `poolId` exists and corresponds to the General specialization setting.
           */
          function _isGeneralPoolTokenRegistered(bytes32 poolId, IERC20 token) internal view returns (bool) {
              EnumerableMap.IERC20ToBytes32Map storage poolBalances = _generalPoolsBalances[poolId];
              return poolBalances.contains(token);
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../../lib/helpers/BalancerErrors.sol";
      import "../../lib/openzeppelin/EnumerableSet.sol";
      import "../../lib/openzeppelin/IERC20.sol";
      import "./BalanceAllocation.sol";
      import "../PoolRegistry.sol";
      abstract contract MinimalSwapInfoPoolsBalance is PoolRegistry {
          using BalanceAllocation for bytes32;
          using EnumerableSet for EnumerableSet.AddressSet;
          // Data for Pools with the Minimal Swap Info specialization setting
          //
          // These Pools use the IMinimalSwapInfoPool interface, and so the Vault must read the balance of the two tokens
          // in the swap. The best solution is to use a mapping from token to balance, which lets us read or write any token's
          // balance in a single storage access.
          //
          // We also keep a set of registered tokens. Because tokens with non-zero balance are by definition registered, in
          // some balance getters we skip checking for token registration if a non-zero balance is found, saving gas by
          // performing a single read instead of two.
          mapping(bytes32 => mapping(IERC20 => bytes32)) internal _minimalSwapInfoPoolsBalances;
          mapping(bytes32 => EnumerableSet.AddressSet) internal _minimalSwapInfoPoolsTokens;
          /**
           * @dev Registers a list of tokens in a Minimal Swap Info Pool.
           *
           * This function assumes `poolId` exists and corresponds to the Minimal Swap Info specialization setting.
           *
           * Requirements:
           *
           * - `tokens` must not be registered in the Pool
           * - `tokens` must not contain duplicates
           */
          function _registerMinimalSwapInfoPoolTokens(bytes32 poolId, IERC20[] memory tokens) internal {
              EnumerableSet.AddressSet storage poolTokens = _minimalSwapInfoPoolsTokens[poolId];
              for (uint256 i = 0; i < tokens.length; ++i) {
                  bool added = poolTokens.add(address(tokens[i]));
                  _require(added, Errors.TOKEN_ALREADY_REGISTERED);
                  // Note that we don't initialize the balance mapping: the default value of zero corresponds to an empty
                  // balance.
              }
          }
          /**
           * @dev Deregisters a list of tokens in a Minimal Swap Info Pool.
           *
           * This function assumes `poolId` exists and corresponds to the Minimal Swap Info specialization setting.
           *
           * Requirements:
           *
           * - `tokens` must be registered in the Pool
           * - `tokens` must have zero balance in the Vault
           * - `tokens` must not contain duplicates
           */
          function _deregisterMinimalSwapInfoPoolTokens(bytes32 poolId, IERC20[] memory tokens) internal {
              EnumerableSet.AddressSet storage poolTokens = _minimalSwapInfoPoolsTokens[poolId];
              for (uint256 i = 0; i < tokens.length; ++i) {
                  IERC20 token = tokens[i];
                  _require(_minimalSwapInfoPoolsBalances[poolId][token].isZero(), Errors.NONZERO_TOKEN_BALANCE);
                  // For consistency with other Pool specialization settings, we explicitly reset the balance (which may have
                  // a non-zero last change block).
                  delete _minimalSwapInfoPoolsBalances[poolId][token];
                  bool removed = poolTokens.remove(address(token));
                  _require(removed, Errors.TOKEN_NOT_REGISTERED);
              }
          }
          /**
           * @dev Sets the balances of a Minimal Swap Info Pool's tokens to `balances`.
           *
           * WARNING: this assumes `balances` has the same length and order as the Pool's tokens.
           */
          function _setMinimalSwapInfoPoolBalances(
              bytes32 poolId,
              IERC20[] memory tokens,
              bytes32[] memory balances
          ) internal {
              for (uint256 i = 0; i < tokens.length; ++i) {
                  _minimalSwapInfoPoolsBalances[poolId][tokens[i]] = balances[i];
              }
          }
          /**
           * @dev Transforms `amount` of `token`'s balance in a Minimal Swap Info Pool from cash into managed.
           *
           * This function assumes `poolId` exists, corresponds to the Minimal Swap Info specialization setting, and that
           * `token` is registered for that Pool.
           */
          function _minimalSwapInfoPoolCashToManaged(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal {
              _updateMinimalSwapInfoPoolBalance(poolId, token, BalanceAllocation.cashToManaged, amount);
          }
          /**
           * @dev Transforms `amount` of `token`'s balance in a Minimal Swap Info Pool from managed into cash.
           *
           * This function assumes `poolId` exists, corresponds to the Minimal Swap Info specialization setting, and that
           * `token` is registered for that Pool.
           */
          function _minimalSwapInfoPoolManagedToCash(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal {
              _updateMinimalSwapInfoPoolBalance(poolId, token, BalanceAllocation.managedToCash, amount);
          }
          /**
           * @dev Sets `token`'s managed balance in a Minimal Swap Info Pool to `amount`.
           *
           * This function assumes `poolId` exists, corresponds to the Minimal Swap Info specialization setting, and that
           * `token` is registered for that Pool.
           *
           * Returns the managed balance delta as a result of this call.
           */
          function _setMinimalSwapInfoPoolManagedBalance(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal returns (int256) {
              return _updateMinimalSwapInfoPoolBalance(poolId, token, BalanceAllocation.setManaged, amount);
          }
          /**
           * @dev Sets `token`'s balance in a Minimal Swap Info Pool to the result of the `mutation` function when called with
           * the current balance and `amount`.
           *
           * This function assumes `poolId` exists, corresponds to the Minimal Swap Info specialization setting, and that
           * `token` is registered for that Pool.
           *
           * Returns the managed balance delta as a result of this call.
           */
          function _updateMinimalSwapInfoPoolBalance(
              bytes32 poolId,
              IERC20 token,
              function(bytes32, uint256) returns (bytes32) mutation,
              uint256 amount
          ) internal returns (int256) {
              bytes32 currentBalance = _getMinimalSwapInfoPoolBalance(poolId, token);
              bytes32 newBalance = mutation(currentBalance, amount);
              _minimalSwapInfoPoolsBalances[poolId][token] = newBalance;
              return newBalance.managedDelta(currentBalance);
          }
          /**
           * @dev Returns an array with all the tokens and balances in a Minimal Swap Info Pool. The order may change when
           * tokens are registered or deregistered.
           *
           * This function assumes `poolId` exists and corresponds to the Minimal Swap Info specialization setting.
           */
          function _getMinimalSwapInfoPoolTokens(bytes32 poolId)
              internal
              view
              returns (IERC20[] memory tokens, bytes32[] memory balances)
          {
              EnumerableSet.AddressSet storage poolTokens = _minimalSwapInfoPoolsTokens[poolId];
              tokens = new IERC20[](poolTokens.length());
              balances = new bytes32[](tokens.length);
              for (uint256 i = 0; i < tokens.length; ++i) {
                  // Because the iteration is bounded by `tokens.length`, which matches the EnumerableSet's length, we can use
                  // `unchecked_at` as we know `i` is a valid token index, saving storage reads.
                  IERC20 token = IERC20(poolTokens.unchecked_at(i));
                  tokens[i] = token;
                  balances[i] = _minimalSwapInfoPoolsBalances[poolId][token];
              }
          }
          /**
           * @dev Returns the balance of a token in a Minimal Swap Info Pool.
           *
           * Requirements:
           *
           * - `poolId` must be a Minimal Swap Info Pool
           * - `token` must be registered in the Pool
           */
          function _getMinimalSwapInfoPoolBalance(bytes32 poolId, IERC20 token) internal view returns (bytes32) {
              bytes32 balance = _minimalSwapInfoPoolsBalances[poolId][token];
              // A non-zero balance guarantees that the token is registered. If zero, we manually check if the token is
              // registered in the Pool. Token registration implies that the Pool is registered as well, which lets us save
              // gas by not performing the check.
              bool tokenRegistered = balance.isNotZero() || _minimalSwapInfoPoolsTokens[poolId].contains(address(token));
              if (!tokenRegistered) {
                  // The token might not be registered because the Pool itself is not registered. We check this to provide a
                  // more accurate revert reason.
                  _ensureRegisteredPool(poolId);
                  _revert(Errors.TOKEN_NOT_REGISTERED);
              }
              return balance;
          }
          /**
           * @dev Returns true if `token` is registered in a Minimal Swap Info Pool.
           *
           * This function assumes `poolId` exists and corresponds to the Minimal Swap Info specialization setting.
           */
          function _isMinimalSwapInfoPoolTokenRegistered(bytes32 poolId, IERC20 token) internal view returns (bool) {
              EnumerableSet.AddressSet storage poolTokens = _minimalSwapInfoPoolsTokens[poolId];
              return poolTokens.contains(address(token));
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../../lib/helpers/BalancerErrors.sol";
      import "../../lib/openzeppelin/IERC20.sol";
      import "./BalanceAllocation.sol";
      import "../PoolRegistry.sol";
      abstract contract TwoTokenPoolsBalance is PoolRegistry {
          using BalanceAllocation for bytes32;
          // Data for Pools with the Two Token specialization setting
          //
          // These are similar to the Minimal Swap Info Pool case (because the Pool only has two tokens, and therefore there
          // are only two balances to read), but there's a key difference in how data is stored. Keeping a set makes little
          // sense, as it will only ever hold two tokens, so we can just store those two directly.
          //
          // The gas savings associated with using these Pools come from how token balances are stored: cash amounts for token
          // A and token B are packed together, as are managed amounts. Because only cash changes in a swap, there's no need
          // to write to this second storage slot. A single last change block number for both tokens is stored with the packed
          // cash fields.
          struct TwoTokenPoolBalances {
              bytes32 sharedCash;
              bytes32 sharedManaged;
          }
          // We could just keep a mapping from Pool ID to TwoTokenSharedBalances, but there's an issue: we wouldn't know to
          // which tokens those balances correspond. This would mean having to also check which are registered with the Pool.
          //
          // What we do instead to save those storage reads is keep a nested mapping from the token pair hash to the balances
          // struct. The Pool only has two tokens, so only a single entry of this mapping is set (the one that corresponds to
          // that pair's hash).
          //
          // This has the trade-off of making Vault code that interacts with these Pools cumbersome: both balances must be
          // accessed at the same time by using both token addresses, and some logic is needed to determine how the pair hash
          // is computed. We do this by sorting the tokens, calling the token with the lowest numerical address value token A,
          // and the other one token B. In functions where the token arguments could be either A or B, we use X and Y instead.
          //
          // If users query a token pair containing an unregistered token, the Pool will generate a hash for a mapping entry
          // that was not set, and return zero balances. Non-zero balances are only possible if both tokens in the pair
          // are registered with the Pool, which means we don't have to check the TwoTokenPoolTokens struct, and can save
          // storage reads.
          struct TwoTokenPoolTokens {
              IERC20 tokenA;
              IERC20 tokenB;
              mapping(bytes32 => TwoTokenPoolBalances) balances;
          }
          mapping(bytes32 => TwoTokenPoolTokens) private _twoTokenPoolTokens;
          /**
           * @dev Registers tokens in a Two Token Pool.
           *
           * This function assumes `poolId` exists and corresponds to the Two Token specialization setting.
           *
           * Requirements:
           *
           * - `tokenX` and `tokenY` must not be the same
           * - The tokens must be ordered: tokenX < tokenY
           */
          function _registerTwoTokenPoolTokens(
              bytes32 poolId,
              IERC20 tokenX,
              IERC20 tokenY
          ) internal {
              // Not technically true since we didn't register yet, but this is consistent with the error messages of other
              // specialization settings.
              _require(tokenX != tokenY, Errors.TOKEN_ALREADY_REGISTERED);
              _require(tokenX < tokenY, Errors.UNSORTED_TOKENS);
              // A Two Token Pool with no registered tokens is identified by having zero addresses for tokens A and B.
              TwoTokenPoolTokens storage poolTokens = _twoTokenPoolTokens[poolId];
              _require(poolTokens.tokenA == IERC20(0) && poolTokens.tokenB == IERC20(0), Errors.TOKENS_ALREADY_SET);
              // Since tokenX < tokenY, tokenX is A and tokenY is B
              poolTokens.tokenA = tokenX;
              poolTokens.tokenB = tokenY;
              // Note that we don't initialize the balance mapping: the default value of zero corresponds to an empty
              // balance.
          }
          /**
           * @dev Deregisters tokens in a Two Token Pool.
           *
           * This function assumes `poolId` exists and corresponds to the Two Token specialization setting.
           *
           * Requirements:
           *
           * - `tokenX` and `tokenY` must be registered in the Pool
           * - both tokens must have zero balance in the Vault
           */
          function _deregisterTwoTokenPoolTokens(
              bytes32 poolId,
              IERC20 tokenX,
              IERC20 tokenY
          ) internal {
              (
                  bytes32 balanceA,
                  bytes32 balanceB,
                  TwoTokenPoolBalances storage poolBalances
              ) = _getTwoTokenPoolSharedBalances(poolId, tokenX, tokenY);
              _require(balanceA.isZero() && balanceB.isZero(), Errors.NONZERO_TOKEN_BALANCE);
              delete _twoTokenPoolTokens[poolId];
              // For consistency with other Pool specialization settings, we explicitly reset the packed cash field (which may
              // have a non-zero last change block).
              delete poolBalances.sharedCash;
          }
          /**
           * @dev Sets the cash balances of a Two Token Pool's tokens.
           *
           * WARNING: this assumes `tokenA` and `tokenB` are the Pool's two registered tokens, and are in the correct order.
           */
          function _setTwoTokenPoolCashBalances(
              bytes32 poolId,
              IERC20 tokenA,
              bytes32 balanceA,
              IERC20 tokenB,
              bytes32 balanceB
          ) internal {
              bytes32 pairHash = _getTwoTokenPairHash(tokenA, tokenB);
              TwoTokenPoolBalances storage poolBalances = _twoTokenPoolTokens[poolId].balances[pairHash];
              poolBalances.sharedCash = BalanceAllocation.toSharedCash(balanceA, balanceB);
          }
          /**
           * @dev Transforms `amount` of `token`'s balance in a Two Token Pool from cash into managed.
           *
           * This function assumes `poolId` exists, corresponds to the Two Token specialization setting, and that `token` is
           * registered for that Pool.
           */
          function _twoTokenPoolCashToManaged(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal {
              _updateTwoTokenPoolSharedBalance(poolId, token, BalanceAllocation.cashToManaged, amount);
          }
          /**
           * @dev Transforms `amount` of `token`'s balance in a Two Token Pool from managed into cash.
           *
           * This function assumes `poolId` exists, corresponds to the Two Token specialization setting, and that `token` is
           * registered for that Pool.
           */
          function _twoTokenPoolManagedToCash(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal {
              _updateTwoTokenPoolSharedBalance(poolId, token, BalanceAllocation.managedToCash, amount);
          }
          /**
           * @dev Sets `token`'s managed balance in a Two Token Pool to `amount`.
           *
           * This function assumes `poolId` exists, corresponds to the Two Token specialization setting, and that `token` is
           * registered for that Pool.
           *
           * Returns the managed balance delta as a result of this call.
           */
          function _setTwoTokenPoolManagedBalance(
              bytes32 poolId,
              IERC20 token,
              uint256 amount
          ) internal returns (int256) {
              return _updateTwoTokenPoolSharedBalance(poolId, token, BalanceAllocation.setManaged, amount);
          }
          /**
           * @dev Sets `token`'s balance in a Two Token Pool to the result of the `mutation` function when called with
           * the current balance and `amount`.
           *
           * This function assumes `poolId` exists, corresponds to the Two Token specialization setting, and that `token` is
           * registered for that Pool.
           *
           * Returns the managed balance delta as a result of this call.
           */
          function _updateTwoTokenPoolSharedBalance(
              bytes32 poolId,
              IERC20 token,
              function(bytes32, uint256) returns (bytes32) mutation,
              uint256 amount
          ) private returns (int256) {
              (
                  TwoTokenPoolBalances storage balances,
                  IERC20 tokenA,
                  bytes32 balanceA,
                  ,
                  bytes32 balanceB
              ) = _getTwoTokenPoolBalances(poolId);
              int256 delta;
              if (token == tokenA) {
                  bytes32 newBalance = mutation(balanceA, amount);
                  delta = newBalance.managedDelta(balanceA);
                  balanceA = newBalance;
              } else {
                  // token == tokenB
                  bytes32 newBalance = mutation(balanceB, amount);
                  delta = newBalance.managedDelta(balanceB);
                  balanceB = newBalance;
              }
              balances.sharedCash = BalanceAllocation.toSharedCash(balanceA, balanceB);
              balances.sharedManaged = BalanceAllocation.toSharedManaged(balanceA, balanceB);
              return delta;
          }
          /*
           * @dev Returns an array with all the tokens and balances in a Two Token Pool. The order may change when
           * tokens are registered or deregistered.
           *
           * This function assumes `poolId` exists and corresponds to the Two Token specialization setting.
           */
          function _getTwoTokenPoolTokens(bytes32 poolId)
              internal
              view
              returns (IERC20[] memory tokens, bytes32[] memory balances)
          {
              (, IERC20 tokenA, bytes32 balanceA, IERC20 tokenB, bytes32 balanceB) = _getTwoTokenPoolBalances(poolId);
              // Both tokens will either be zero (if unregistered) or non-zero (if registered), but we keep the full check for
              // clarity.
              if (tokenA == IERC20(0) || tokenB == IERC20(0)) {
                  return (new IERC20[](0), new bytes32[](0));
              }
              // Note that functions relying on this getter expect tokens to be properly ordered, so we use the (A, B)
              // ordering.
              tokens = new IERC20[](2);
              tokens[0] = tokenA;
              tokens[1] = tokenB;
              balances = new bytes32[](2);
              balances[0] = balanceA;
              balances[1] = balanceB;
          }
          /**
           * @dev Same as `_getTwoTokenPoolTokens`, except it returns the two tokens and balances directly instead of using
           * an array, as well as a storage pointer to the `TwoTokenPoolBalances` struct, which can be used to update it
           * without having to recompute the pair hash and storage slot.
           */
          function _getTwoTokenPoolBalances(bytes32 poolId)
              private
              view
              returns (
                  TwoTokenPoolBalances storage poolBalances,
                  IERC20 tokenA,
                  bytes32 balanceA,
                  IERC20 tokenB,
                  bytes32 balanceB
              )
          {
              TwoTokenPoolTokens storage poolTokens = _twoTokenPoolTokens[poolId];
              tokenA = poolTokens.tokenA;
              tokenB = poolTokens.tokenB;
              bytes32 pairHash = _getTwoTokenPairHash(tokenA, tokenB);
              poolBalances = poolTokens.balances[pairHash];
              bytes32 sharedCash = poolBalances.sharedCash;
              bytes32 sharedManaged = poolBalances.sharedManaged;
              balanceA = BalanceAllocation.fromSharedToBalanceA(sharedCash, sharedManaged);
              balanceB = BalanceAllocation.fromSharedToBalanceB(sharedCash, sharedManaged);
          }
          /**
           * @dev Returns the balance of a token in a Two Token Pool.
           *
           * This function assumes `poolId` exists and corresponds to the General specialization setting.
           *
           * This function is convenient but not particularly gas efficient, and should be avoided during gas-sensitive
           * operations, such as swaps. For those, _getTwoTokenPoolSharedBalances provides a more flexible interface.
           *
           * Requirements:
           *
           * - `token` must be registered in the Pool
           */
          function _getTwoTokenPoolBalance(bytes32 poolId, IERC20 token) internal view returns (bytes32) {
              // We can't just read the balance of token, because we need to know the full pair in order to compute the pair
              // hash and access the balance mapping. We therefore rely on `_getTwoTokenPoolBalances`.
              (, IERC20 tokenA, bytes32 balanceA, IERC20 tokenB, bytes32 balanceB) = _getTwoTokenPoolBalances(poolId);
              if (token == tokenA) {
                  return balanceA;
              } else if (token == tokenB) {
                  return balanceB;
              } else {
                  _revert(Errors.TOKEN_NOT_REGISTERED);
              }
          }
          /**
           * @dev Returns the balance of the two tokens in a Two Token Pool.
           *
           * The returned balances are those of token A and token B, where token A is the lowest of token X and token Y, and
           * token B the other.
           *
           * This function also returns a storage pointer to the TwoTokenPoolBalances struct associated with the token pair,
           * which can be used to update it without having to recompute the pair hash and storage slot.
           *
           * Requirements:
           *
           * - `poolId` must be a Minimal Swap Info Pool
           * - `tokenX` and `tokenY` must be registered in the Pool
           */
          function _getTwoTokenPoolSharedBalances(
              bytes32 poolId,
              IERC20 tokenX,
              IERC20 tokenY
          )
              internal
              view
              returns (
                  bytes32 balanceA,
                  bytes32 balanceB,
                  TwoTokenPoolBalances storage poolBalances
              )
          {
              (IERC20 tokenA, IERC20 tokenB) = _sortTwoTokens(tokenX, tokenY);
              bytes32 pairHash = _getTwoTokenPairHash(tokenA, tokenB);
              poolBalances = _twoTokenPoolTokens[poolId].balances[pairHash];
              // Because we're reading balances using the pair hash, if either token X or token Y is not registered then
              // *both* balance entries will be zero.
              bytes32 sharedCash = poolBalances.sharedCash;
              bytes32 sharedManaged = poolBalances.sharedManaged;
              // A non-zero balance guarantees that both tokens are registered. If zero, we manually check whether each
              // token is registered in the Pool. Token registration implies that the Pool is registered as well, which
              // lets us save gas by not performing the check.
              bool tokensRegistered = sharedCash.isNotZero() ||
                  sharedManaged.isNotZero() ||
                  (_isTwoTokenPoolTokenRegistered(poolId, tokenA) && _isTwoTokenPoolTokenRegistered(poolId, tokenB));
              if (!tokensRegistered) {
                  // The tokens might not be registered because the Pool itself is not registered. We check this to provide a
                  // more accurate revert reason.
                  _ensureRegisteredPool(poolId);
                  _revert(Errors.TOKEN_NOT_REGISTERED);
              }
              balanceA = BalanceAllocation.fromSharedToBalanceA(sharedCash, sharedManaged);
              balanceB = BalanceAllocation.fromSharedToBalanceB(sharedCash, sharedManaged);
          }
          /**
           * @dev Returns true if `token` is registered in a Two Token Pool.
           *
           * This function assumes `poolId` exists and corresponds to the Two Token specialization setting.
           */
          function _isTwoTokenPoolTokenRegistered(bytes32 poolId, IERC20 token) internal view returns (bool) {
              TwoTokenPoolTokens storage poolTokens = _twoTokenPoolTokens[poolId];
              // The zero address can never be a registered token.
              return (token == poolTokens.tokenA || token == poolTokens.tokenB) && token != IERC20(0);
          }
          /**
           * @dev Returns the hash associated with a given token pair.
           */
          function _getTwoTokenPairHash(IERC20 tokenA, IERC20 tokenB) private pure returns (bytes32) {
              return keccak256(abi.encodePacked(tokenA, tokenB));
          }
          /**
           * @dev Sorts two tokens in ascending order, returning them as a (tokenA, tokenB) tuple.
           */
          function _sortTwoTokens(IERC20 tokenX, IERC20 tokenY) private pure returns (IERC20, IERC20) {
              return tokenX < tokenY ? (tokenX, tokenY) : (tokenY, tokenX);
          }
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      pragma experimental ABIEncoderV2;
      import "../lib/math/Math.sol";
      import "../lib/helpers/BalancerErrors.sol";
      import "../lib/openzeppelin/IERC20.sol";
      import "../lib/helpers/AssetHelpers.sol";
      import "../lib/openzeppelin/SafeERC20.sol";
      import "../lib/openzeppelin/Address.sol";
      import "./interfaces/IWETH.sol";
      import "./interfaces/IAsset.sol";
      import "./interfaces/IVault.sol";
      abstract contract AssetTransfersHandler is AssetHelpers {
          using SafeERC20 for IERC20;
          using Address for address payable;
          /**
           * @dev Receives `amount` of `asset` from `sender`. If `fromInternalBalance` is true, it first withdraws as much
           * as possible from Internal Balance, then transfers any remaining amount.
           *
           * If `asset` is ETH, `fromInternalBalance` must be false (as ETH cannot be held as internal balance), and the funds
           * will be wrapped into WETH.
           *
           * WARNING: this function does not check that the contract caller has actually supplied any ETH - it is up to the
           * caller of this function to check that this is true to prevent the Vault from using its own ETH (though the Vault
           * typically doesn't hold any).
           */
          function _receiveAsset(
              IAsset asset,
              uint256 amount,
              address sender,
              bool fromInternalBalance
          ) internal {
              if (amount == 0) {
                  return;
              }
              if (_isETH(asset)) {
                  _require(!fromInternalBalance, Errors.INVALID_ETH_INTERNAL_BALANCE);
                  // The ETH amount to receive is deposited into the WETH contract, which will in turn mint WETH for
                  // the Vault at a 1:1 ratio.
                  // A check for this condition is also introduced by the compiler, but this one provides a revert reason.
                  // Note we're checking for the Vault's total balance, *not* ETH sent in this transaction.
                  _require(address(this).balance >= amount, Errors.INSUFFICIENT_ETH);
                  _WETH().deposit{ value: amount }();
              } else {
                  IERC20 token = _asIERC20(asset);
                  if (fromInternalBalance) {
                      // We take as many tokens from Internal Balance as possible: any remaining amounts will be transferred.
                      uint256 deductedBalance = _decreaseInternalBalance(sender, token, amount, true);
                      // Because `deductedBalance` will be always the lesser of the current internal balance
                      // and the amount to decrease, it is safe to perform unchecked arithmetic.
                      amount -= deductedBalance;
                  }
                  if (amount > 0) {
                      token.safeTransferFrom(sender, address(this), amount);
                  }
              }
          }
          /**
           * @dev Sends `amount` of `asset` to `recipient`. If `toInternalBalance` is true, the asset is deposited as Internal
           * Balance instead of being transferred.
           *
           * If `asset` is ETH, `toInternalBalance` must be false (as ETH cannot be held as internal balance), and the funds
           * are instead sent directly after unwrapping WETH.
           */
          function _sendAsset(
              IAsset asset,
              uint256 amount,
              address payable recipient,
              bool toInternalBalance
          ) internal {
              if (amount == 0) {
                  return;
              }
              if (_isETH(asset)) {
                  // Sending ETH is not as involved as receiving it: the only special behavior is it cannot be
                  // deposited to Internal Balance.
                  _require(!toInternalBalance, Errors.INVALID_ETH_INTERNAL_BALANCE);
                  // First, the Vault withdraws deposited ETH from the WETH contract, by burning the same amount of WETH
                  // from the Vault. This receipt will be handled by the Vault's `receive`.
                  _WETH().withdraw(amount);
                  // Then, the withdrawn ETH is sent to the recipient.
                  recipient.sendValue(amount);
              } else {
                  IERC20 token = _asIERC20(asset);
                  if (toInternalBalance) {
                      _increaseInternalBalance(recipient, token, amount);
                  } else {
                      token.safeTransfer(recipient, amount);
                  }
              }
          }
          /**
           * @dev Returns excess ETH back to the contract caller, assuming `amountUsed` has been spent. Reverts
           * if the caller sent less ETH than `amountUsed`.
           *
           * Because the caller might not know exactly how much ETH a Vault action will require, they may send extra.
           * Note that this excess value is returned *to the contract caller* (msg.sender). If caller and e.g. swap sender are
           * not the same (because the caller is a relayer for the sender), then it is up to the caller to manage this
           * returned ETH.
           */
          function _handleRemainingEth(uint256 amountUsed) internal {
              _require(msg.value >= amountUsed, Errors.INSUFFICIENT_ETH);
              uint256 excess = msg.value - amountUsed;
              if (excess > 0) {
                  msg.sender.sendValue(excess);
              }
          }
          /**
           * @dev Enables the Vault to receive ETH. This is required for it to be able to unwrap WETH, which sends ETH to the
           * caller.
           *
           * Any ETH sent to the Vault outside of the WETH unwrapping mechanism would be forever locked inside the Vault, so
           * we prevent that from happening. Other mechanisms used to send ETH to the Vault (such as being the recipient of an
           * ETH swap, Pool exit or withdrawal, contract self-destruction, or receiving the block mining reward) will result
           * in locked funds, but are not otherwise a security or soundness issue. This check only exists as an attempt to
           * prevent user error.
           */
          receive() external payable {
              _require(msg.sender == address(_WETH()), Errors.ETH_TRANSFER);
          }
          // This contract uses virtual internal functions instead of inheriting from the modules that implement them (in
          // this case UserBalance) in order to decouple it from the rest of the system and enable standalone testing by
          // implementing these with mocks.
          function _increaseInternalBalance(
              address account,
              IERC20 token,
              uint256 amount
          ) internal virtual;
          function _decreaseInternalBalance(
              address account,
              IERC20 token,
              uint256 amount,
              bool capped
          ) internal virtual returns (uint256);
      }
      // SPDX-License-Identifier: GPL-3.0-or-later
      // This program is free software: you can redistribute it and/or modify
      // it under the terms of the GNU General Public License as published by
      // the Free Software Foundation, either version 3 of the License, or
      // (at your option) any later version.
      // This program is distributed in the hope that it will be useful,
      // but WITHOUT ANY WARRANTY; without even the implied warranty of
      // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      // GNU General Public License for more details.
      // You should have received a copy of the GNU General Public License
      // along with this program.  If not, see <http://www.gnu.org/licenses/>.
      pragma solidity ^0.7.0;
      import "../openzeppelin/IERC20.sol";
      import "../../vault/interfaces/IAsset.sol";
      import "../../vault/interfaces/IWETH.sol";
      abstract contract AssetHelpers {
          // solhint-disable-next-line var-name-mixedcase
          IWETH private immutable _weth;
          // Sentinel value used to indicate WETH with wrapping/unwrapping semantics. The zero address is a good choice for
          // multiple reasons: it is cheap to pass as a calldata argument, it is a known invalid token and non-contract, and
          // it is an address Pools cannot register as a token.
          address private constant _ETH = address(0);
          constructor(IWETH weth) {
              _weth = weth;
          }
          // solhint-disable-next-line func-name-mixedcase
          function _WETH() internal view returns (IWETH) {
              return _weth;
          }
          /**
           * @dev Returns true if `asset` is the sentinel value that represents ETH.
           */
          function _isETH(IAsset asset) internal pure returns (bool) {
              return address(asset) == _ETH;
          }
          /**
           * @dev Translates `asset` into an equivalent IERC20 token address. If `asset` represents ETH, it will be translated
           * to the WETH contract.
           */
          function _translateToIERC20(IAsset asset) internal view returns (IERC20) {
              return _isETH(asset) ? _WETH() : _asIERC20(asset);
          }
          /**
           * @dev Same as `_translateToIERC20(IAsset)`, but for an entire array.
           */
          function _translateToIERC20(IAsset[] memory assets) internal view returns (IERC20[] memory) {
              IERC20[] memory tokens = new IERC20[](assets.length);
              for (uint256 i = 0; i < assets.length; ++i) {
                  tokens[i] = _translateToIERC20(assets[i]);
              }
              return tokens;
          }
          /**
           * @dev Interprets `asset` as an IERC20 token. This function should only be called on `asset` if `_isETH` previously
           * returned false for it, that is, if `asset` is guaranteed not to be the ETH sentinel value.
           */
          function _asIERC20(IAsset asset) internal pure returns (IERC20) {
              return IERC20(address(asset));
          }
      }
      // SPDX-License-Identifier: MIT
      pragma solidity ^0.7.0;
      import "../helpers/BalancerErrors.sol";
      /**
       * @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
           * ====
           */
          function isContract(address account) internal view returns (bool) {
              // This method relies on extcodesize, which returns 0 for contracts in
              // construction, since the code is only stored at the end of the
              // constructor execution.
              uint256 size;
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  size := extcodesize(account)
              }
              return size > 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, Errors.ADDRESS_INSUFFICIENT_BALANCE);
              // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
              (bool success, ) = recipient.call{ value: amount }("");
              _require(success, Errors.ADDRESS_CANNOT_SEND_VALUE);
          }
      }
      

      File 2 of 4: FiatTokenProxy
      pragma solidity ^0.4.24;
      
      // File: zos-lib/contracts/upgradeability/Proxy.sol
      
      /**
       * @title Proxy
       * @dev Implements delegation of calls to other contracts, with proper
       * forwarding of return values and bubbling of failures.
       * It defines a fallback function that delegates all calls to the address
       * returned by the abstract _implementation() internal function.
       */
      contract Proxy {
        /**
         * @dev Fallback function.
         * Implemented entirely in `_fallback`.
         */
        function () payable external {
          _fallback();
        }
      
        /**
         * @return The Address of the implementation.
         */
        function _implementation() internal view returns (address);
      
        /**
         * @dev Delegates execution to an implementation contract.
         * This is a low level function that doesn't return to its internal call site.
         * It will return to the external caller whatever the implementation returns.
         * @param implementation Address to delegate.
         */
        function _delegate(address implementation) internal {
          assembly {
            // Copy msg.data. We take full control of memory in this inline assembly
            // block because it will not return to Solidity code. We overwrite the
            // Solidity scratch pad at memory position 0.
            calldatacopy(0, 0, calldatasize)
      
            // Call the implementation.
            // out and outsize are 0 because we don't know the size yet.
            let result := delegatecall(gas, implementation, 0, calldatasize, 0, 0)
      
            // Copy the returned data.
            returndatacopy(0, 0, returndatasize)
      
            switch result
            // delegatecall returns 0 on error.
            case 0 { revert(0, returndatasize) }
            default { return(0, returndatasize) }
          }
        }
      
        /**
         * @dev Function that is run as the first thing in the fallback function.
         * Can be redefined in derived contracts to add functionality.
         * Redefinitions must call super._willFallback().
         */
        function _willFallback() internal {
        }
      
        /**
         * @dev fallback implementation.
         * Extracted to enable manual triggering.
         */
        function _fallback() internal {
          _willFallback();
          _delegate(_implementation());
        }
      }
      
      // File: openzeppelin-solidity/contracts/AddressUtils.sol
      
      /**
       * Utility library of inline functions on addresses
       */
      library AddressUtils {
      
        /**
         * Returns whether the target address is a contract
         * @dev This function will return false if invoked during the constructor of a contract,
         * as the code is not actually created until after the constructor finishes.
         * @param addr address to check
         * @return whether the target address is a contract
         */
        function isContract(address addr) internal view returns (bool) {
          uint256 size;
          // XXX Currently there is no better way to check if there is a contract in an address
          // than to check the size of the code at that address.
          // See https://ethereum.stackexchange.com/a/14016/36603
          // for more details about how this works.
          // TODO Check this again before the Serenity release, because all addresses will be
          // contracts then.
          // solium-disable-next-line security/no-inline-assembly
          assembly { size := extcodesize(addr) }
          return size > 0;
        }
      
      }
      
      // File: zos-lib/contracts/upgradeability/UpgradeabilityProxy.sol
      
      /**
       * @title UpgradeabilityProxy
       * @dev This contract implements a proxy that allows to change the
       * implementation address to which it will delegate.
       * Such a change is called an implementation upgrade.
       */
      contract UpgradeabilityProxy is Proxy {
        /**
         * @dev Emitted when the implementation is upgraded.
         * @param implementation Address of the new implementation.
         */
        event Upgraded(address implementation);
      
        /**
         * @dev Storage slot with the address of the current implementation.
         * This is the keccak-256 hash of "org.zeppelinos.proxy.implementation", and is
         * validated in the constructor.
         */
        bytes32 private constant IMPLEMENTATION_SLOT = 0x7050c9e0f4ca769c69bd3a8ef740bc37934f8e2c036e5a723fd8ee048ed3f8c3;
      
        /**
         * @dev Contract constructor.
         * @param _implementation Address of the initial implementation.
         */
        constructor(address _implementation) public {
          assert(IMPLEMENTATION_SLOT == keccak256("org.zeppelinos.proxy.implementation"));
      
          _setImplementation(_implementation);
        }
      
        /**
         * @dev Returns the current implementation.
         * @return Address of the current implementation
         */
        function _implementation() internal view returns (address impl) {
          bytes32 slot = IMPLEMENTATION_SLOT;
          assembly {
            impl := sload(slot)
          }
        }
      
        /**
         * @dev Upgrades the proxy to a new implementation.
         * @param newImplementation Address of the new implementation.
         */
        function _upgradeTo(address newImplementation) internal {
          _setImplementation(newImplementation);
          emit Upgraded(newImplementation);
        }
      
        /**
         * @dev Sets the implementation address of the proxy.
         * @param newImplementation Address of the new implementation.
         */
        function _setImplementation(address newImplementation) private {
          require(AddressUtils.isContract(newImplementation), "Cannot set a proxy implementation to a non-contract address");
      
          bytes32 slot = IMPLEMENTATION_SLOT;
      
          assembly {
            sstore(slot, newImplementation)
          }
        }
      }
      
      // File: zos-lib/contracts/upgradeability/AdminUpgradeabilityProxy.sol
      
      /**
       * @title AdminUpgradeabilityProxy
       * @dev This contract combines an upgradeability proxy with an authorization
       * mechanism for administrative tasks.
       * All external functions in this contract must be guarded by the
       * `ifAdmin` modifier. See ethereum/solidity#3864 for a Solidity
       * feature proposal that would enable this to be done automatically.
       */
      contract AdminUpgradeabilityProxy is UpgradeabilityProxy {
        /**
         * @dev Emitted when the administration has been transferred.
         * @param previousAdmin Address of the previous admin.
         * @param newAdmin Address of the new admin.
         */
        event AdminChanged(address previousAdmin, address newAdmin);
      
        /**
         * @dev Storage slot with the admin of the contract.
         * This is the keccak-256 hash of "org.zeppelinos.proxy.admin", and is
         * validated in the constructor.
         */
        bytes32 private constant ADMIN_SLOT = 0x10d6a54a4754c8869d6886b5f5d7fbfa5b4522237ea5c60d11bc4e7a1ff9390b;
      
        /**
         * @dev Modifier to check whether the `msg.sender` is the admin.
         * If it is, it will run the function. Otherwise, it will delegate the call
         * to the implementation.
         */
        modifier ifAdmin() {
          if (msg.sender == _admin()) {
            _;
          } else {
            _fallback();
          }
        }
      
        /**
         * Contract constructor.
         * It sets the `msg.sender` as the proxy administrator.
         * @param _implementation address of the initial implementation.
         */
        constructor(address _implementation) UpgradeabilityProxy(_implementation) public {
          assert(ADMIN_SLOT == keccak256("org.zeppelinos.proxy.admin"));
      
          _setAdmin(msg.sender);
        }
      
        /**
         * @return The address of the proxy admin.
         */
        function admin() external view ifAdmin returns (address) {
          return _admin();
        }
      
        /**
         * @return The address of the implementation.
         */
        function implementation() external view ifAdmin returns (address) {
          return _implementation();
        }
      
        /**
         * @dev Changes the admin of the proxy.
         * Only the current admin can call this function.
         * @param newAdmin Address to transfer proxy administration to.
         */
        function changeAdmin(address newAdmin) external ifAdmin {
          require(newAdmin != address(0), "Cannot change the admin of a proxy to the zero address");
          emit AdminChanged(_admin(), newAdmin);
          _setAdmin(newAdmin);
        }
      
        /**
         * @dev Upgrade the backing implementation of the proxy.
         * Only the admin can call this function.
         * @param newImplementation Address of the new implementation.
         */
        function upgradeTo(address newImplementation) external ifAdmin {
          _upgradeTo(newImplementation);
        }
      
        /**
         * @dev Upgrade the backing implementation of the proxy and call a function
         * on the new implementation.
         * This is useful to initialize the proxied contract.
         * @param newImplementation Address of the new implementation.
         * @param data Data to send as msg.data in the low level call.
         * It should include the signature and the parameters of the function to be
         * called, as described in
         * https://solidity.readthedocs.io/en/develop/abi-spec.html#function-selector-and-argument-encoding.
         */
        function upgradeToAndCall(address newImplementation, bytes data) payable external ifAdmin {
          _upgradeTo(newImplementation);
          require(address(this).call.value(msg.value)(data));
        }
      
        /**
         * @return The admin slot.
         */
        function _admin() internal view returns (address adm) {
          bytes32 slot = ADMIN_SLOT;
          assembly {
            adm := sload(slot)
          }
        }
      
        /**
         * @dev Sets the address of the proxy admin.
         * @param newAdmin Address of the new proxy admin.
         */
        function _setAdmin(address newAdmin) internal {
          bytes32 slot = ADMIN_SLOT;
      
          assembly {
            sstore(slot, newAdmin)
          }
        }
      
        /**
         * @dev Only fall back when the sender is not the admin.
         */
        function _willFallback() internal {
          require(msg.sender != _admin(), "Cannot call fallback function from the proxy admin");
          super._willFallback();
        }
      }
      
      // File: contracts/FiatTokenProxy.sol
      
      /**
      * Copyright CENTRE SECZ 2018
      *
      * Permission is hereby granted, free of charge, to any person obtaining a copy 
      * of this software and associated documentation files (the "Software"), to deal 
      * in the Software without restriction, including without limitation the rights 
      * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 
      * copies of the Software, and to permit persons to whom the Software is furnished to 
      * do so, subject to the following conditions:
      *
      * The above copyright notice and this permission notice shall be included in all 
      * copies or substantial portions of the Software.
      *
      * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 
      * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 
      * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 
      * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
      * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 
      * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
      */
      
      pragma solidity ^0.4.24;
      
      
      /**
       * @title FiatTokenProxy
       * @dev This contract proxies FiatToken calls and enables FiatToken upgrades
      */ 
      contract FiatTokenProxy is AdminUpgradeabilityProxy {
          constructor(address _implementation) public AdminUpgradeabilityProxy(_implementation) {
          }
      }

      File 3 of 4: FLX
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (access/AccessControl.sol)
      pragma solidity ^0.8.0;
      import "./IAccessControl.sol";
      import "../utils/Context.sol";
      import "../utils/Strings.sol";
      import "../utils/introspection/ERC165.sol";
      /**
       * @dev Contract module that allows children to implement role-based access
       * control mechanisms. This is a lightweight version that doesn't allow enumerating role
       * members except through off-chain means by accessing the contract event logs. Some
       * applications may benefit from on-chain enumerability, for those cases see
       * {AccessControlEnumerable}.
       *
       * Roles are referred to by their `bytes32` identifier. These should be exposed
       * in the external API and be unique. The best way to achieve this is by
       * using `public constant` hash digests:
       *
       * ```
       * bytes32 public constant MY_ROLE = keccak256("MY_ROLE");
       * ```
       *
       * Roles can be used to represent a set of permissions. To restrict access to a
       * function call, use {hasRole}:
       *
       * ```
       * function foo() public {
       *     require(hasRole(MY_ROLE, msg.sender));
       *     ...
       * }
       * ```
       *
       * Roles can be granted and revoked dynamically via the {grantRole} and
       * {revokeRole} functions. Each role has an associated admin role, and only
       * accounts that have a role's admin role can call {grantRole} and {revokeRole}.
       *
       * By default, the admin role for all roles is `DEFAULT_ADMIN_ROLE`, which means
       * that only accounts with this role will be able to grant or revoke other
       * roles. More complex role relationships can be created by using
       * {_setRoleAdmin}.
       *
       * WARNING: The `DEFAULT_ADMIN_ROLE` is also its own admin: it has permission to
       * grant and revoke this role. Extra precautions should be taken to secure
       * accounts that have been granted it.
       */
      abstract contract AccessControl is Context, IAccessControl, ERC165 {
          struct RoleData {
              mapping(address => bool) members;
              bytes32 adminRole;
          }
          mapping(bytes32 => RoleData) private _roles;
          bytes32 public constant DEFAULT_ADMIN_ROLE = 0x00;
          /**
           * @dev Modifier that checks that an account has a specific role. Reverts
           * with a standardized message including the required role.
           *
           * The format of the revert reason is given by the following regular expression:
           *
           *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
           *
           * _Available since v4.1._
           */
          modifier onlyRole(bytes32 role) {
              _checkRole(role, _msgSender());
              _;
          }
          /**
           * @dev See {IERC165-supportsInterface}.
           */
          function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
              return interfaceId == type(IAccessControl).interfaceId || super.supportsInterface(interfaceId);
          }
          /**
           * @dev Returns `true` if `account` has been granted `role`.
           */
          function hasRole(bytes32 role, address account) public view override returns (bool) {
              return _roles[role].members[account];
          }
          /**
           * @dev Revert with a standard message if `account` is missing `role`.
           *
           * The format of the revert reason is given by the following regular expression:
           *
           *  /^AccessControl: account (0x[0-9a-f]{40}) is missing role (0x[0-9a-f]{64})$/
           */
          function _checkRole(bytes32 role, address account) internal view {
              if (!hasRole(role, account)) {
                  revert(
                      string(
                          abi.encodePacked(
                              "AccessControl: account ",
                              Strings.toHexString(uint160(account), 20),
                              " is missing role ",
                              Strings.toHexString(uint256(role), 32)
                          )
                      )
                  );
              }
          }
          /**
           * @dev Returns the admin role that controls `role`. See {grantRole} and
           * {revokeRole}.
           *
           * To change a role's admin, use {_setRoleAdmin}.
           */
          function getRoleAdmin(bytes32 role) public view override returns (bytes32) {
              return _roles[role].adminRole;
          }
          /**
           * @dev Grants `role` to `account`.
           *
           * If `account` had not been already granted `role`, emits a {RoleGranted}
           * event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function grantRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
              _grantRole(role, account);
          }
          /**
           * @dev Revokes `role` from `account`.
           *
           * If `account` had been granted `role`, emits a {RoleRevoked} event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function revokeRole(bytes32 role, address account) public virtual override onlyRole(getRoleAdmin(role)) {
              _revokeRole(role, account);
          }
          /**
           * @dev Revokes `role` from the calling account.
           *
           * Roles are often managed via {grantRole} and {revokeRole}: this function's
           * purpose is to provide a mechanism for accounts to lose their privileges
           * if they are compromised (such as when a trusted device is misplaced).
           *
           * If the calling account had been revoked `role`, emits a {RoleRevoked}
           * event.
           *
           * Requirements:
           *
           * - the caller must be `account`.
           */
          function renounceRole(bytes32 role, address account) public virtual override {
              require(account == _msgSender(), "AccessControl: can only renounce roles for self");
              _revokeRole(role, account);
          }
          /**
           * @dev Grants `role` to `account`.
           *
           * If `account` had not been already granted `role`, emits a {RoleGranted}
           * event. Note that unlike {grantRole}, this function doesn't perform any
           * checks on the calling account.
           *
           * [WARNING]
           * ====
           * This function should only be called from the constructor when setting
           * up the initial roles for the system.
           *
           * Using this function in any other way is effectively circumventing the admin
           * system imposed by {AccessControl}.
           * ====
           *
           * NOTE: This function is deprecated in favor of {_grantRole}.
           */
          function _setupRole(bytes32 role, address account) internal virtual {
              _grantRole(role, account);
          }
          /**
           * @dev Sets `adminRole` as ``role``'s admin role.
           *
           * Emits a {RoleAdminChanged} event.
           */
          function _setRoleAdmin(bytes32 role, bytes32 adminRole) internal virtual {
              bytes32 previousAdminRole = getRoleAdmin(role);
              _roles[role].adminRole = adminRole;
              emit RoleAdminChanged(role, previousAdminRole, adminRole);
          }
          /**
           * @dev Grants `role` to `account`.
           *
           * Internal function without access restriction.
           */
          function _grantRole(bytes32 role, address account) internal virtual {
              if (!hasRole(role, account)) {
                  _roles[role].members[account] = true;
                  emit RoleGranted(role, account, _msgSender());
              }
          }
          /**
           * @dev Revokes `role` from `account`.
           *
           * Internal function without access restriction.
           */
          function _revokeRole(bytes32 role, address account) internal virtual {
              if (hasRole(role, account)) {
                  _roles[role].members[account] = false;
                  emit RoleRevoked(role, account, _msgSender());
              }
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (access/AccessControlEnumerable.sol)
      pragma solidity ^0.8.0;
      import "./IAccessControlEnumerable.sol";
      import "./AccessControl.sol";
      import "../utils/structs/EnumerableSet.sol";
      /**
       * @dev Extension of {AccessControl} that allows enumerating the members of each role.
       */
      abstract contract AccessControlEnumerable is IAccessControlEnumerable, AccessControl {
          using EnumerableSet for EnumerableSet.AddressSet;
          mapping(bytes32 => EnumerableSet.AddressSet) private _roleMembers;
          /**
           * @dev See {IERC165-supportsInterface}.
           */
          function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
              return interfaceId == type(IAccessControlEnumerable).interfaceId || super.supportsInterface(interfaceId);
          }
          /**
           * @dev Returns one of the accounts that have `role`. `index` must be a
           * value between 0 and {getRoleMemberCount}, non-inclusive.
           *
           * Role bearers are not sorted in any particular way, and their ordering may
           * change at any point.
           *
           * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
           * you perform all queries on the same block. See the following
           * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
           * for more information.
           */
          function getRoleMember(bytes32 role, uint256 index) public view override returns (address) {
              return _roleMembers[role].at(index);
          }
          /**
           * @dev Returns the number of accounts that have `role`. Can be used
           * together with {getRoleMember} to enumerate all bearers of a role.
           */
          function getRoleMemberCount(bytes32 role) public view override returns (uint256) {
              return _roleMembers[role].length();
          }
          /**
           * @dev Overload {_grantRole} to track enumerable memberships
           */
          function _grantRole(bytes32 role, address account) internal virtual override {
              super._grantRole(role, account);
              _roleMembers[role].add(account);
          }
          /**
           * @dev Overload {_revokeRole} to track enumerable memberships
           */
          function _revokeRole(bytes32 role, address account) internal virtual override {
              super._revokeRole(role, account);
              _roleMembers[role].remove(account);
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (access/IAccessControl.sol)
      pragma solidity ^0.8.0;
      /**
       * @dev External interface of AccessControl declared to support ERC165 detection.
       */
      interface IAccessControl {
          /**
           * @dev Emitted when `newAdminRole` is set as ``role``'s admin role, replacing `previousAdminRole`
           *
           * `DEFAULT_ADMIN_ROLE` is the starting admin for all roles, despite
           * {RoleAdminChanged} not being emitted signaling this.
           *
           * _Available since v3.1._
           */
          event RoleAdminChanged(bytes32 indexed role, bytes32 indexed previousAdminRole, bytes32 indexed newAdminRole);
          /**
           * @dev Emitted when `account` is granted `role`.
           *
           * `sender` is the account that originated the contract call, an admin role
           * bearer except when using {AccessControl-_setupRole}.
           */
          event RoleGranted(bytes32 indexed role, address indexed account, address indexed sender);
          /**
           * @dev Emitted when `account` is revoked `role`.
           *
           * `sender` is the account that originated the contract call:
           *   - if using `revokeRole`, it is the admin role bearer
           *   - if using `renounceRole`, it is the role bearer (i.e. `account`)
           */
          event RoleRevoked(bytes32 indexed role, address indexed account, address indexed sender);
          /**
           * @dev Returns `true` if `account` has been granted `role`.
           */
          function hasRole(bytes32 role, address account) external view returns (bool);
          /**
           * @dev Returns the admin role that controls `role`. See {grantRole} and
           * {revokeRole}.
           *
           * To change a role's admin, use {AccessControl-_setRoleAdmin}.
           */
          function getRoleAdmin(bytes32 role) external view returns (bytes32);
          /**
           * @dev Grants `role` to `account`.
           *
           * If `account` had not been already granted `role`, emits a {RoleGranted}
           * event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function grantRole(bytes32 role, address account) external;
          /**
           * @dev Revokes `role` from `account`.
           *
           * If `account` had been granted `role`, emits a {RoleRevoked} event.
           *
           * Requirements:
           *
           * - the caller must have ``role``'s admin role.
           */
          function revokeRole(bytes32 role, address account) external;
          /**
           * @dev Revokes `role` from the calling account.
           *
           * Roles are often managed via {grantRole} and {revokeRole}: this function's
           * purpose is to provide a mechanism for accounts to lose their privileges
           * if they are compromised (such as when a trusted device is misplaced).
           *
           * If the calling account had been granted `role`, emits a {RoleRevoked}
           * event.
           *
           * Requirements:
           *
           * - the caller must be `account`.
           */
          function renounceRole(bytes32 role, address account) external;
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (access/IAccessControlEnumerable.sol)
      pragma solidity ^0.8.0;
      import "./IAccessControl.sol";
      /**
       * @dev External interface of AccessControlEnumerable declared to support ERC165 detection.
       */
      interface IAccessControlEnumerable is IAccessControl {
          /**
           * @dev Returns one of the accounts that have `role`. `index` must be a
           * value between 0 and {getRoleMemberCount}, non-inclusive.
           *
           * Role bearers are not sorted in any particular way, and their ordering may
           * change at any point.
           *
           * WARNING: When using {getRoleMember} and {getRoleMemberCount}, make sure
           * you perform all queries on the same block. See the following
           * https://forum.openzeppelin.com/t/iterating-over-elements-on-enumerableset-in-openzeppelin-contracts/2296[forum post]
           * for more information.
           */
          function getRoleMember(bytes32 role, uint256 index) external view returns (address);
          /**
           * @dev Returns the number of accounts that have `role`. Can be used
           * together with {getRoleMember} to enumerate all bearers of a role.
           */
          function getRoleMemberCount(bytes32 role) external view returns (uint256);
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (security/Pausable.sol)
      pragma solidity ^0.8.0;
      import "../utils/Context.sol";
      /**
       * @dev Contract module which allows children to implement an emergency stop
       * mechanism that can be triggered by an authorized account.
       *
       * This module is used through inheritance. It will make available the
       * modifiers `whenNotPaused` and `whenPaused`, which can be applied to
       * the functions of your contract. Note that they will not be pausable by
       * simply including this module, only once the modifiers are put in place.
       */
      abstract contract Pausable is Context {
          /**
           * @dev Emitted when the pause is triggered by `account`.
           */
          event Paused(address account);
          /**
           * @dev Emitted when the pause is lifted by `account`.
           */
          event Unpaused(address account);
          bool private _paused;
          /**
           * @dev Initializes the contract in unpaused state.
           */
          constructor() {
              _paused = false;
          }
          /**
           * @dev Returns true if the contract is paused, and false otherwise.
           */
          function paused() public view virtual returns (bool) {
              return _paused;
          }
          /**
           * @dev Modifier to make a function callable only when the contract is not paused.
           *
           * Requirements:
           *
           * - The contract must not be paused.
           */
          modifier whenNotPaused() {
              require(!paused(), "Pausable: paused");
              _;
          }
          /**
           * @dev Modifier to make a function callable only when the contract is paused.
           *
           * Requirements:
           *
           * - The contract must be paused.
           */
          modifier whenPaused() {
              require(paused(), "Pausable: not paused");
              _;
          }
          /**
           * @dev Triggers stopped state.
           *
           * Requirements:
           *
           * - The contract must not be paused.
           */
          function _pause() internal virtual whenNotPaused {
              _paused = true;
              emit Paused(_msgSender());
          }
          /**
           * @dev Returns to normal state.
           *
           * Requirements:
           *
           * - The contract must be paused.
           */
          function _unpause() internal virtual whenPaused {
              _paused = false;
              emit Unpaused(_msgSender());
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (token/ERC20/ERC20.sol)
      pragma solidity ^0.8.0;
      import "./IERC20.sol";
      import "./extensions/IERC20Metadata.sol";
      import "../../utils/Context.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 ERC20 is Context, IERC20, IERC20Metadata {
          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.
           */
          constructor(string memory name_, string memory symbol_) {
              _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:
           *
           * - `recipient` cannot be the zero address.
           * - the caller must have a balance of at least `amount`.
           */
          function transfer(address recipient, uint256 amount) public virtual override returns (bool) {
              _transfer(_msgSender(), recipient, 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}.
           *
           * Requirements:
           *
           * - `spender` cannot be the zero address.
           */
          function approve(address spender, uint256 amount) public virtual override returns (bool) {
              _approve(_msgSender(), 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}.
           *
           * Requirements:
           *
           * - `sender` and `recipient` cannot be the zero address.
           * - `sender` must have a balance of at least `amount`.
           * - the caller must have allowance for ``sender``'s tokens of at least
           * `amount`.
           */
          function transferFrom(
              address sender,
              address recipient,
              uint256 amount
          ) public virtual override returns (bool) {
              _transfer(sender, recipient, amount);
              uint256 currentAllowance = _allowances[sender][_msgSender()];
              require(currentAllowance >= amount, "ERC20: transfer amount exceeds allowance");
              unchecked {
                  _approve(sender, _msgSender(), currentAllowance - 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) {
              _approve(_msgSender(), spender, _allowances[_msgSender()][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) {
              uint256 currentAllowance = _allowances[_msgSender()][spender];
              require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero");
              unchecked {
                  _approve(_msgSender(), spender, currentAllowance - subtractedValue);
              }
              return true;
          }
          /**
           * @dev Moves `amount` of tokens from `sender` to `recipient`.
           *
           * 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:
           *
           * - `sender` cannot be the zero address.
           * - `recipient` cannot be the zero address.
           * - `sender` must have a balance of at least `amount`.
           */
          function _transfer(
              address sender,
              address recipient,
              uint256 amount
          ) internal virtual {
              require(sender != address(0), "ERC20: transfer from the zero address");
              require(recipient != address(0), "ERC20: transfer to the zero address");
              _beforeTokenTransfer(sender, recipient, amount);
              uint256 senderBalance = _balances[sender];
              require(senderBalance >= amount, "ERC20: transfer amount exceeds balance");
              unchecked {
                  _balances[sender] = senderBalance - amount;
              }
              _balances[recipient] += amount;
              emit Transfer(sender, recipient, amount);
              _afterTokenTransfer(sender, recipient, 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 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 {}
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (token/ERC20/IERC20.sol)
      pragma solidity ^0.8.0;
      /**
       * @dev Interface of the ERC20 standard as defined in the EIP.
       */
      interface IERC20 {
          /**
           * @dev Returns the amount of tokens in existence.
           */
          function totalSupply() external view returns (uint256);
          /**
           * @dev Returns the amount of tokens owned by `account`.
           */
          function balanceOf(address account) external view returns (uint256);
          /**
           * @dev Moves `amount` tokens from the caller's account to `recipient`.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * Emits a {Transfer} event.
           */
          function transfer(address recipient, uint256 amount) external returns (bool);
          /**
           * @dev Returns the remaining number of tokens that `spender` will be
           * allowed to spend on behalf of `owner` through {transferFrom}. This is
           * zero by default.
           *
           * This value changes when {approve} or {transferFrom} are called.
           */
          function allowance(address owner, address spender) external view returns (uint256);
          /**
           * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * IMPORTANT: Beware that changing an allowance with this method brings the risk
           * that someone may use both the old and the new allowance by unfortunate
           * transaction ordering. One possible solution to mitigate this race
           * condition is to first reduce the spender's allowance to 0 and set the
           * desired value afterwards:
           * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
           *
           * Emits an {Approval} event.
           */
          function approve(address spender, uint256 amount) external returns (bool);
          /**
           * @dev Moves `amount` tokens from `sender` to `recipient` using the
           * allowance mechanism. `amount` is then deducted from the caller's
           * allowance.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * Emits a {Transfer} event.
           */
          function transferFrom(
              address sender,
              address recipient,
              uint256 amount
          ) external returns (bool);
          /**
           * @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);
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (token/ERC20/extensions/ERC20Burnable.sol)
      pragma solidity ^0.8.0;
      import "../ERC20.sol";
      import "../../../utils/Context.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 ERC20Burnable is Context, ERC20 {
          /**
           * @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 {
              uint256 currentAllowance = allowance(account, _msgSender());
              require(currentAllowance >= amount, "ERC20: burn amount exceeds allowance");
              unchecked {
                  _approve(account, _msgSender(), currentAllowance - amount);
              }
              _burn(account, amount);
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (token/ERC20/extensions/ERC20Pausable.sol)
      pragma solidity ^0.8.0;
      import "../ERC20.sol";
      import "../../../security/Pausable.sol";
      /**
       * @dev ERC20 token with pausable token transfers, minting and burning.
       *
       * Useful for scenarios such as preventing trades until the end of an evaluation
       * period, or having an emergency switch for freezing all token transfers in the
       * event of a large bug.
       */
      abstract contract ERC20Pausable is ERC20, Pausable {
          /**
           * @dev See {ERC20-_beforeTokenTransfer}.
           *
           * Requirements:
           *
           * - the contract must not be paused.
           */
          function _beforeTokenTransfer(
              address from,
              address to,
              uint256 amount
          ) internal virtual override {
              super._beforeTokenTransfer(from, to, amount);
              require(!paused(), "ERC20Pausable: token transfer while paused");
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (token/ERC20/extensions/IERC20Metadata.sol)
      pragma solidity ^0.8.0;
      import "../IERC20.sol";
      /**
       * @dev Interface for the optional metadata functions from the ERC20 standard.
       *
       * _Available since v4.1._
       */
      interface IERC20Metadata is IERC20 {
          /**
           * @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);
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (token/ERC20/presets/ERC20PresetMinterPauser.sol)
      pragma solidity ^0.8.0;
      import "../ERC20.sol";
      import "../extensions/ERC20Burnable.sol";
      import "../extensions/ERC20Pausable.sol";
      import "../../../access/AccessControlEnumerable.sol";
      import "../../../utils/Context.sol";
      /**
       * @dev {ERC20} token, including:
       *
       *  - ability for holders to burn (destroy) their tokens
       *  - a minter role that allows for token minting (creation)
       *  - a pauser role that allows to stop all token transfers
       *
       * This contract uses {AccessControl} to lock permissioned functions using the
       * different roles - head to its documentation for details.
       *
       * The account that deploys the contract will be granted the minter and pauser
       * roles, as well as the default admin role, which will let it grant both minter
       * and pauser roles to other accounts.
       */
      contract ERC20PresetMinterPauser is Context, AccessControlEnumerable, ERC20Burnable, ERC20Pausable {
          bytes32 public constant MINTER_ROLE = keccak256("MINTER_ROLE");
          bytes32 public constant PAUSER_ROLE = keccak256("PAUSER_ROLE");
          /**
           * @dev Grants `DEFAULT_ADMIN_ROLE`, `MINTER_ROLE` and `PAUSER_ROLE` to the
           * account that deploys the contract.
           *
           * See {ERC20-constructor}.
           */
          constructor(string memory name, string memory symbol) ERC20(name, symbol) {
              _setupRole(DEFAULT_ADMIN_ROLE, _msgSender());
              _setupRole(MINTER_ROLE, _msgSender());
              _setupRole(PAUSER_ROLE, _msgSender());
          }
          /**
           * @dev Creates `amount` new tokens for `to`.
           *
           * See {ERC20-_mint}.
           *
           * Requirements:
           *
           * - the caller must have the `MINTER_ROLE`.
           */
          function mint(address to, uint256 amount) public virtual {
              require(hasRole(MINTER_ROLE, _msgSender()), "ERC20PresetMinterPauser: must have minter role to mint");
              _mint(to, amount);
          }
          /**
           * @dev Pauses all token transfers.
           *
           * See {ERC20Pausable} and {Pausable-_pause}.
           *
           * Requirements:
           *
           * - the caller must have the `PAUSER_ROLE`.
           */
          function pause() public virtual {
              require(hasRole(PAUSER_ROLE, _msgSender()), "ERC20PresetMinterPauser: must have pauser role to pause");
              _pause();
          }
          /**
           * @dev Unpauses all token transfers.
           *
           * See {ERC20Pausable} and {Pausable-_unpause}.
           *
           * Requirements:
           *
           * - the caller must have the `PAUSER_ROLE`.
           */
          function unpause() public virtual {
              require(hasRole(PAUSER_ROLE, _msgSender()), "ERC20PresetMinterPauser: must have pauser role to unpause");
              _unpause();
          }
          function _beforeTokenTransfer(
              address from,
              address to,
              uint256 amount
          ) internal virtual override(ERC20, ERC20Pausable) {
              super._beforeTokenTransfer(from, to, amount);
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (utils/Context.sol)
      pragma solidity ^0.8.0;
      /**
       * @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 Context {
          function _msgSender() internal view virtual returns (address) {
              return msg.sender;
          }
          function _msgData() internal view virtual returns (bytes calldata) {
              return msg.data;
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (utils/Strings.sol)
      pragma solidity ^0.8.0;
      /**
       * @dev String operations.
       */
      library Strings {
          bytes16 private constant _HEX_SYMBOLS = "0123456789abcdef";
          /**
           * @dev Converts a `uint256` to its ASCII `string` decimal representation.
           */
          function toString(uint256 value) internal pure returns (string memory) {
              // Inspired by OraclizeAPI's implementation - MIT licence
              // https://github.com/oraclize/ethereum-api/blob/b42146b063c7d6ee1358846c198246239e9360e8/oraclizeAPI_0.4.25.sol
              if (value == 0) {
                  return "0";
              }
              uint256 temp = value;
              uint256 digits;
              while (temp != 0) {
                  digits++;
                  temp /= 10;
              }
              bytes memory buffer = new bytes(digits);
              while (value != 0) {
                  digits -= 1;
                  buffer[digits] = bytes1(uint8(48 + uint256(value % 10)));
                  value /= 10;
              }
              return string(buffer);
          }
          /**
           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation.
           */
          function toHexString(uint256 value) internal pure returns (string memory) {
              if (value == 0) {
                  return "0x00";
              }
              uint256 temp = value;
              uint256 length = 0;
              while (temp != 0) {
                  length++;
                  temp >>= 8;
              }
              return toHexString(value, length);
          }
          /**
           * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length.
           */
          function toHexString(uint256 value, uint256 length) internal pure returns (string memory) {
              bytes memory buffer = new bytes(2 * length + 2);
              buffer[0] = "0";
              buffer[1] = "x";
              for (uint256 i = 2 * length + 1; i > 1; --i) {
                  buffer[i] = _HEX_SYMBOLS[value & 0xf];
                  value >>= 4;
              }
              require(value == 0, "Strings: hex length insufficient");
              return string(buffer);
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (utils/introspection/ERC165.sol)
      pragma solidity ^0.8.0;
      import "./IERC165.sol";
      /**
       * @dev Implementation of the {IERC165} interface.
       *
       * Contracts that want to implement ERC165 should inherit from this contract and override {supportsInterface} to check
       * for the additional interface id that will be supported. For example:
       *
       * ```solidity
       * function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
       *     return interfaceId == type(MyInterface).interfaceId || super.supportsInterface(interfaceId);
       * }
       * ```
       *
       * Alternatively, {ERC165Storage} provides an easier to use but more expensive implementation.
       */
      abstract contract ERC165 is IERC165 {
          /**
           * @dev See {IERC165-supportsInterface}.
           */
          function supportsInterface(bytes4 interfaceId) public view virtual override returns (bool) {
              return interfaceId == type(IERC165).interfaceId;
          }
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (utils/introspection/IERC165.sol)
      pragma solidity ^0.8.0;
      /**
       * @dev Interface of the ERC165 standard, as defined in the
       * https://eips.ethereum.org/EIPS/eip-165[EIP].
       *
       * Implementers can declare support of contract interfaces, which can then be
       * queried by others ({ERC165Checker}).
       *
       * For an implementation, see {ERC165}.
       */
      interface IERC165 {
          /**
           * @dev Returns true if this contract implements the interface defined by
           * `interfaceId`. See the corresponding
           * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section]
           * to learn more about how these ids are created.
           *
           * This function call must use less than 30 000 gas.
           */
          function supportsInterface(bytes4 interfaceId) external view returns (bool);
      }
      // SPDX-License-Identifier: MIT
      // OpenZeppelin Contracts v4.4.0 (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.
       */
      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;
              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;
              assembly {
                  result := store
              }
              return result;
          }
      }
      // SPDX-License-Identifier: GPL-3.0
      pragma solidity ^0.8.9;
      /**   ______   __         __  __     __  __        ______   ______     __  __     ______     __   __    
        *  /\\  ___\\ /\\ \\       /\\ \\/\\ \\   /\\_\\_\\_\\      /\\__  _\\ /\\  __ \\   /\\ \\/ /    /\\  ___\\   /\\ "-.\\ \\   
        *  \\ \\  __\\ \\ \\ \\____  \\ \\ \\_\\ \\  \\/_/\\_\\/_     \\/_/\\ \\/ \\ \\ \\/\\ \\  \\ \\  _"-.  \\ \\  __\\   \\ \\ \\-.  \\  
        *   \\ \\_\\    \\ \\_____\\  \\ \\_____\\   /\\_\\/\\_\\       \\ \\_\\  \\ \\_____\\  \\ \\_\\ \\_\\  \\ \\_____\\  \\ \\_\\\\"\\_\\ 
        *    \\/_/     \\/_____/   \\/_____/   \\/_/\\/_/        \\/_/   \\/_____/   \\/_/\\/_/   \\/_____/   \\/_/ \\/_/
       **/
      import "@openzeppelin/contracts/token/ERC20/presets/ERC20PresetMinterPauser.sol";
      contract FLX is ERC20PresetMinterPauser {
                                                     
           uint256 public constant MAX_SUPPLY    = 1000000000e18; // 1 billion
          uint256 public constant INITIAL_SUPPLY =  560413928e18; // 579.413928 million
          
          constructor(address _dao, address _treasury) ERC20PresetMinterPauser("Flux Token", "FLX") {
             // Mint initial balance
             _mint(_treasury, INITIAL_SUPPLY);
             
             // Grant minter rights to DAO
             grantRole(MINTER_ROLE, _dao);
             
             // Revoke sender minting rights
             revokeRole(MINTER_ROLE, _msgSender());
             // Revoke sender pauser rights
             revokeRole(PAUSER_ROLE, _msgSender());
             
             // Revoke sender admin rights
             revokeRole(DEFAULT_ADMIN_ROLE, _msgSender());
         }
          // Override mint() to prevent exceeding MAX_SUPPLY
          function mint(
              address to,
              uint256 amount
          ) public virtual override {
              require(amount + totalSupply() <= MAX_SUPPLY, "Mint exceeds max supply");
              super.mint(to, amount); // checks for MINTER_ROLE
          }
      }
      

      File 4 of 4: FiatTokenV2_1
      // File: @openzeppelin/contracts/math/SafeMath.sol
      
      // SPDX-License-Identifier: MIT
      
      pragma solidity ^0.6.0;
      
      /**
       * @dev Wrappers over Solidity's arithmetic operations with added overflow
       * checks.
       *
       * Arithmetic operations in Solidity wrap on overflow. This can easily result
       * in bugs, because programmers usually assume that an overflow raises an
       * error, which is the standard behavior in high level programming languages.
       * `SafeMath` restores this intuition by reverting the transaction when an
       * operation overflows.
       *
       * Using this library instead of the unchecked operations eliminates an entire
       * class of bugs, so it's recommended to use it always.
       */
      library SafeMath {
          /**
           * @dev Returns the addition of two unsigned integers, reverting on
           * overflow.
           *
           * Counterpart to Solidity's `+` operator.
           *
           * Requirements:
           *
           * - Addition cannot overflow.
           */
          function add(uint256 a, uint256 b) internal pure returns (uint256) {
              uint256 c = a + b;
              require(c >= a, "SafeMath: addition overflow");
      
              return c;
          }
      
          /**
           * @dev Returns the subtraction of two unsigned integers, reverting on
           * overflow (when the result is negative).
           *
           * Counterpart to Solidity's `-` operator.
           *
           * Requirements:
           *
           * - Subtraction cannot overflow.
           */
          function sub(uint256 a, uint256 b) internal pure returns (uint256) {
              return sub(a, b, "SafeMath: subtraction overflow");
          }
      
          /**
           * @dev Returns the subtraction of two unsigned integers, reverting with custom message on
           * overflow (when the result is negative).
           *
           * Counterpart to Solidity's `-` operator.
           *
           * Requirements:
           *
           * - Subtraction cannot overflow.
           */
          function sub(
              uint256 a,
              uint256 b,
              string memory errorMessage
          ) internal pure returns (uint256) {
              require(b <= a, errorMessage);
              uint256 c = a - b;
      
              return c;
          }
      
          /**
           * @dev Returns the multiplication of two unsigned integers, reverting on
           * overflow.
           *
           * Counterpart to Solidity's `*` operator.
           *
           * Requirements:
           *
           * - Multiplication cannot overflow.
           */
          function mul(uint256 a, uint256 b) internal pure returns (uint256) {
              // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
              // benefit is lost if 'b' is also tested.
              // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
              if (a == 0) {
                  return 0;
              }
      
              uint256 c = a * b;
              require(c / a == b, "SafeMath: multiplication overflow");
      
              return c;
          }
      
          /**
           * @dev Returns the integer division of two unsigned integers. Reverts on
           * division by zero. The result is rounded towards zero.
           *
           * Counterpart to Solidity's `/` operator. Note: this function uses a
           * `revert` opcode (which leaves remaining gas untouched) while Solidity
           * uses an invalid opcode to revert (consuming all remaining gas).
           *
           * Requirements:
           *
           * - The divisor cannot be zero.
           */
          function div(uint256 a, uint256 b) internal pure returns (uint256) {
              return div(a, b, "SafeMath: division by zero");
          }
      
          /**
           * @dev Returns the integer division of two unsigned integers. Reverts with custom message on
           * division by zero. The result is rounded towards zero.
           *
           * Counterpart to Solidity's `/` operator. Note: this function uses a
           * `revert` opcode (which leaves remaining gas untouched) while Solidity
           * uses an invalid opcode to revert (consuming all remaining gas).
           *
           * Requirements:
           *
           * - The divisor cannot be zero.
           */
          function div(
              uint256 a,
              uint256 b,
              string memory errorMessage
          ) internal pure returns (uint256) {
              require(b > 0, errorMessage);
              uint256 c = a / b;
              // assert(a == b * c + a % b); // There is no case in which this doesn't hold
      
              return c;
          }
      
          /**
           * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
           * Reverts when dividing by zero.
           *
           * Counterpart to Solidity's `%` operator. This function uses a `revert`
           * opcode (which leaves remaining gas untouched) while Solidity uses an
           * invalid opcode to revert (consuming all remaining gas).
           *
           * Requirements:
           *
           * - The divisor cannot be zero.
           */
          function mod(uint256 a, uint256 b) internal pure returns (uint256) {
              return mod(a, b, "SafeMath: modulo by zero");
          }
      
          /**
           * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
           * Reverts with custom message when dividing by zero.
           *
           * Counterpart to Solidity's `%` operator. This function uses a `revert`
           * opcode (which leaves remaining gas untouched) while Solidity uses an
           * invalid opcode to revert (consuming all remaining gas).
           *
           * Requirements:
           *
           * - The divisor cannot be zero.
           */
          function mod(
              uint256 a,
              uint256 b,
              string memory errorMessage
          ) internal pure returns (uint256) {
              require(b != 0, errorMessage);
              return a % b;
          }
      }
      
      // File: @openzeppelin/contracts/token/ERC20/IERC20.sol
      
      pragma solidity ^0.6.0;
      
      /**
       * @dev Interface of the ERC20 standard as defined in the EIP.
       */
      interface IERC20 {
          /**
           * @dev Returns the amount of tokens in existence.
           */
          function totalSupply() external view returns (uint256);
      
          /**
           * @dev Returns the amount of tokens owned by `account`.
           */
          function balanceOf(address account) external view returns (uint256);
      
          /**
           * @dev Moves `amount` tokens from the caller's account to `recipient`.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * Emits a {Transfer} event.
           */
          function transfer(address recipient, uint256 amount)
              external
              returns (bool);
      
          /**
           * @dev Returns the remaining number of tokens that `spender` will be
           * allowed to spend on behalf of `owner` through {transferFrom}. This is
           * zero by default.
           *
           * This value changes when {approve} or {transferFrom} are called.
           */
          function allowance(address owner, address spender)
              external
              view
              returns (uint256);
      
          /**
           * @dev Sets `amount` as the allowance of `spender` over the caller's tokens.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * IMPORTANT: Beware that changing an allowance with this method brings the risk
           * that someone may use both the old and the new allowance by unfortunate
           * transaction ordering. One possible solution to mitigate this race
           * condition is to first reduce the spender's allowance to 0 and set the
           * desired value afterwards:
           * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
           *
           * Emits an {Approval} event.
           */
          function approve(address spender, uint256 amount) external returns (bool);
      
          /**
           * @dev Moves `amount` tokens from `sender` to `recipient` using the
           * allowance mechanism. `amount` is then deducted from the caller's
           * allowance.
           *
           * Returns a boolean value indicating whether the operation succeeded.
           *
           * Emits a {Transfer} event.
           */
          function transferFrom(
              address sender,
              address recipient,
              uint256 amount
          ) external returns (bool);
      
          /**
           * @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
          );
      }
      
      // File: contracts/v1/AbstractFiatTokenV1.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      abstract contract AbstractFiatTokenV1 is IERC20 {
          function _approve(
              address owner,
              address spender,
              uint256 value
          ) internal virtual;
      
          function _transfer(
              address from,
              address to,
              uint256 value
          ) internal virtual;
      }
      
      // File: contracts/v1/Ownable.sol
      
      /**
       * Copyright (c) 2018 zOS Global Limited.
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      pragma solidity 0.6.12;
      
      /**
       * @notice The Ownable contract has an owner address, and provides basic
       * authorization control functions
       * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-labs/blob/3887ab77b8adafba4a26ace002f3a684c1a3388b/upgradeability_ownership/contracts/ownership/Ownable.sol
       * Modifications:
       * 1. Consolidate OwnableStorage into this contract (7/13/18)
       * 2. Reformat, conform to Solidity 0.6 syntax, and add error messages (5/13/20)
       * 3. Make public functions external (5/27/20)
       */
      contract Ownable {
          // Owner of the contract
          address private _owner;
      
          /**
           * @dev Event to show ownership has been transferred
           * @param previousOwner representing the address of the previous owner
           * @param newOwner representing the address of the new owner
           */
          event OwnershipTransferred(address previousOwner, address newOwner);
      
          /**
           * @dev The constructor sets the original owner of the contract to the sender account.
           */
          constructor() public {
              setOwner(msg.sender);
          }
      
          /**
           * @dev Tells the address of the owner
           * @return the address of the owner
           */
          function owner() external view returns (address) {
              return _owner;
          }
      
          /**
           * @dev Sets a new owner address
           */
          function setOwner(address newOwner) internal {
              _owner = newOwner;
          }
      
          /**
           * @dev Throws if called by any account other than the owner.
           */
          modifier onlyOwner() {
              require(msg.sender == _owner, "Ownable: caller is not the owner");
              _;
          }
      
          /**
           * @dev Allows the current owner to transfer control of the contract to a newOwner.
           * @param newOwner The address to transfer ownership to.
           */
          function transferOwnership(address newOwner) external onlyOwner {
              require(
                  newOwner != address(0),
                  "Ownable: new owner is the zero address"
              );
              emit OwnershipTransferred(_owner, newOwner);
              setOwner(newOwner);
          }
      }
      
      // File: contracts/v1/Pausable.sol
      
      /**
       * Copyright (c) 2016 Smart Contract Solutions, Inc.
       * Copyright (c) 2018-2020 CENTRE SECZ0
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @notice Base contract which allows children to implement an emergency stop
       * mechanism
       * @dev Forked from https://github.com/OpenZeppelin/openzeppelin-contracts/blob/feb665136c0dae9912e08397c1a21c4af3651ef3/contracts/lifecycle/Pausable.sol
       * Modifications:
       * 1. Added pauser role, switched pause/unpause to be onlyPauser (6/14/2018)
       * 2. Removed whenNotPause/whenPaused from pause/unpause (6/14/2018)
       * 3. Removed whenPaused (6/14/2018)
       * 4. Switches ownable library to use ZeppelinOS (7/12/18)
       * 5. Remove constructor (7/13/18)
       * 6. Reformat, conform to Solidity 0.6 syntax and add error messages (5/13/20)
       * 7. Make public functions external (5/27/20)
       */
      contract Pausable is Ownable {
          event Pause();
          event Unpause();
          event PauserChanged(address indexed newAddress);
      
          address public pauser;
          bool public paused = false;
      
          /**
           * @dev Modifier to make a function callable only when the contract is not paused.
           */
          modifier whenNotPaused() {
              require(!paused, "Pausable: paused");
              _;
          }
      
          /**
           * @dev throws if called by any account other than the pauser
           */
          modifier onlyPauser() {
              require(msg.sender == pauser, "Pausable: caller is not the pauser");
              _;
          }
      
          /**
           * @dev called by the owner to pause, triggers stopped state
           */
          function pause() external onlyPauser {
              paused = true;
              emit Pause();
          }
      
          /**
           * @dev called by the owner to unpause, returns to normal state
           */
          function unpause() external onlyPauser {
              paused = false;
              emit Unpause();
          }
      
          /**
           * @dev update the pauser role
           */
          function updatePauser(address _newPauser) external onlyOwner {
              require(
                  _newPauser != address(0),
                  "Pausable: new pauser is the zero address"
              );
              pauser = _newPauser;
              emit PauserChanged(pauser);
          }
      }
      
      // File: contracts/v1/Blacklistable.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title Blacklistable Token
       * @dev Allows accounts to be blacklisted by a "blacklister" role
       */
      contract Blacklistable is Ownable {
          address public blacklister;
          mapping(address => bool) internal blacklisted;
      
          event Blacklisted(address indexed _account);
          event UnBlacklisted(address indexed _account);
          event BlacklisterChanged(address indexed newBlacklister);
      
          /**
           * @dev Throws if called by any account other than the blacklister
           */
          modifier onlyBlacklister() {
              require(
                  msg.sender == blacklister,
                  "Blacklistable: caller is not the blacklister"
              );
              _;
          }
      
          /**
           * @dev Throws if argument account is blacklisted
           * @param _account The address to check
           */
          modifier notBlacklisted(address _account) {
              require(
                  !blacklisted[_account],
                  "Blacklistable: account is blacklisted"
              );
              _;
          }
      
          /**
           * @dev Checks if account is blacklisted
           * @param _account The address to check
           */
          function isBlacklisted(address _account) external view returns (bool) {
              return blacklisted[_account];
          }
      
          /**
           * @dev Adds account to blacklist
           * @param _account The address to blacklist
           */
          function blacklist(address _account) external onlyBlacklister {
              blacklisted[_account] = true;
              emit Blacklisted(_account);
          }
      
          /**
           * @dev Removes account from blacklist
           * @param _account The address to remove from the blacklist
           */
          function unBlacklist(address _account) external onlyBlacklister {
              blacklisted[_account] = false;
              emit UnBlacklisted(_account);
          }
      
          function updateBlacklister(address _newBlacklister) external onlyOwner {
              require(
                  _newBlacklister != address(0),
                  "Blacklistable: new blacklister is the zero address"
              );
              blacklister = _newBlacklister;
              emit BlacklisterChanged(blacklister);
          }
      }
      
      // File: contracts/v1/FiatTokenV1.sol
      
      /**
       *
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title FiatToken
       * @dev ERC20 Token backed by fiat reserves
       */
      contract FiatTokenV1 is AbstractFiatTokenV1, Ownable, Pausable, Blacklistable {
          using SafeMath for uint256;
      
          string public name;
          string public symbol;
          uint8 public decimals;
          string public currency;
          address public masterMinter;
          bool internal initialized;
      
          mapping(address => uint256) internal balances;
          mapping(address => mapping(address => uint256)) internal allowed;
          uint256 internal totalSupply_ = 0;
          mapping(address => bool) internal minters;
          mapping(address => uint256) internal minterAllowed;
      
          event Mint(address indexed minter, address indexed to, uint256 amount);
          event Burn(address indexed burner, uint256 amount);
          event MinterConfigured(address indexed minter, uint256 minterAllowedAmount);
          event MinterRemoved(address indexed oldMinter);
          event MasterMinterChanged(address indexed newMasterMinter);
      
          function initialize(
              string memory tokenName,
              string memory tokenSymbol,
              string memory tokenCurrency,
              uint8 tokenDecimals,
              address newMasterMinter,
              address newPauser,
              address newBlacklister,
              address newOwner
          ) public {
              require(!initialized, "FiatToken: contract is already initialized");
              require(
                  newMasterMinter != address(0),
                  "FiatToken: new masterMinter is the zero address"
              );
              require(
                  newPauser != address(0),
                  "FiatToken: new pauser is the zero address"
              );
              require(
                  newBlacklister != address(0),
                  "FiatToken: new blacklister is the zero address"
              );
              require(
                  newOwner != address(0),
                  "FiatToken: new owner is the zero address"
              );
      
              name = tokenName;
              symbol = tokenSymbol;
              currency = tokenCurrency;
              decimals = tokenDecimals;
              masterMinter = newMasterMinter;
              pauser = newPauser;
              blacklister = newBlacklister;
              setOwner(newOwner);
              initialized = true;
          }
      
          /**
           * @dev Throws if called by any account other than a minter
           */
          modifier onlyMinters() {
              require(minters[msg.sender], "FiatToken: caller is not a minter");
              _;
          }
      
          /**
           * @dev Function to mint tokens
           * @param _to The address that will receive the minted tokens.
           * @param _amount The amount of tokens to mint. Must be less than or equal
           * to the minterAllowance of the caller.
           * @return A boolean that indicates if the operation was successful.
           */
          function mint(address _to, uint256 _amount)
              external
              whenNotPaused
              onlyMinters
              notBlacklisted(msg.sender)
              notBlacklisted(_to)
              returns (bool)
          {
              require(_to != address(0), "FiatToken: mint to the zero address");
              require(_amount > 0, "FiatToken: mint amount not greater than 0");
      
              uint256 mintingAllowedAmount = minterAllowed[msg.sender];
              require(
                  _amount <= mintingAllowedAmount,
                  "FiatToken: mint amount exceeds minterAllowance"
              );
      
              totalSupply_ = totalSupply_.add(_amount);
              balances[_to] = balances[_to].add(_amount);
              minterAllowed[msg.sender] = mintingAllowedAmount.sub(_amount);
              emit Mint(msg.sender, _to, _amount);
              emit Transfer(address(0), _to, _amount);
              return true;
          }
      
          /**
           * @dev Throws if called by any account other than the masterMinter
           */
          modifier onlyMasterMinter() {
              require(
                  msg.sender == masterMinter,
                  "FiatToken: caller is not the masterMinter"
              );
              _;
          }
      
          /**
           * @dev Get minter allowance for an account
           * @param minter The address of the minter
           */
          function minterAllowance(address minter) external view returns (uint256) {
              return minterAllowed[minter];
          }
      
          /**
           * @dev Checks if account is a minter
           * @param account The address to check
           */
          function isMinter(address account) external view returns (bool) {
              return minters[account];
          }
      
          /**
           * @notice Amount of remaining tokens spender is allowed to transfer on
           * behalf of the token owner
           * @param owner     Token owner's address
           * @param spender   Spender's address
           * @return Allowance amount
           */
          function allowance(address owner, address spender)
              external
              override
              view
              returns (uint256)
          {
              return allowed[owner][spender];
          }
      
          /**
           * @dev Get totalSupply of token
           */
          function totalSupply() external override view returns (uint256) {
              return totalSupply_;
          }
      
          /**
           * @dev Get token balance of an account
           * @param account address The account
           */
          function balanceOf(address account)
              external
              override
              view
              returns (uint256)
          {
              return balances[account];
          }
      
          /**
           * @notice Set spender's allowance over the caller's tokens to be a given
           * value.
           * @param spender   Spender's address
           * @param value     Allowance amount
           * @return True if successful
           */
          function approve(address spender, uint256 value)
              external
              override
              whenNotPaused
              notBlacklisted(msg.sender)
              notBlacklisted(spender)
              returns (bool)
          {
              _approve(msg.sender, spender, value);
              return true;
          }
      
          /**
           * @dev Internal function to set allowance
           * @param owner     Token owner's address
           * @param spender   Spender's address
           * @param value     Allowance amount
           */
          function _approve(
              address owner,
              address spender,
              uint256 value
          ) internal override {
              require(owner != address(0), "ERC20: approve from the zero address");
              require(spender != address(0), "ERC20: approve to the zero address");
              allowed[owner][spender] = value;
              emit Approval(owner, spender, value);
          }
      
          /**
           * @notice Transfer tokens by spending allowance
           * @param from  Payer's address
           * @param to    Payee's address
           * @param value Transfer amount
           * @return True if successful
           */
          function transferFrom(
              address from,
              address to,
              uint256 value
          )
              external
              override
              whenNotPaused
              notBlacklisted(msg.sender)
              notBlacklisted(from)
              notBlacklisted(to)
              returns (bool)
          {
              require(
                  value <= allowed[from][msg.sender],
                  "ERC20: transfer amount exceeds allowance"
              );
              _transfer(from, to, value);
              allowed[from][msg.sender] = allowed[from][msg.sender].sub(value);
              return true;
          }
      
          /**
           * @notice Transfer tokens from the caller
           * @param to    Payee's address
           * @param value Transfer amount
           * @return True if successful
           */
          function transfer(address to, uint256 value)
              external
              override
              whenNotPaused
              notBlacklisted(msg.sender)
              notBlacklisted(to)
              returns (bool)
          {
              _transfer(msg.sender, to, value);
              return true;
          }
      
          /**
           * @notice Internal function to process transfers
           * @param from  Payer's address
           * @param to    Payee's address
           * @param value Transfer amount
           */
          function _transfer(
              address from,
              address to,
              uint256 value
          ) internal override {
              require(from != address(0), "ERC20: transfer from the zero address");
              require(to != address(0), "ERC20: transfer to the zero address");
              require(
                  value <= balances[from],
                  "ERC20: transfer amount exceeds balance"
              );
      
              balances[from] = balances[from].sub(value);
              balances[to] = balances[to].add(value);
              emit Transfer(from, to, value);
          }
      
          /**
           * @dev Function to add/update a new minter
           * @param minter The address of the minter
           * @param minterAllowedAmount The minting amount allowed for the minter
           * @return True if the operation was successful.
           */
          function configureMinter(address minter, uint256 minterAllowedAmount)
              external
              whenNotPaused
              onlyMasterMinter
              returns (bool)
          {
              minters[minter] = true;
              minterAllowed[minter] = minterAllowedAmount;
              emit MinterConfigured(minter, minterAllowedAmount);
              return true;
          }
      
          /**
           * @dev Function to remove a minter
           * @param minter The address of the minter to remove
           * @return True if the operation was successful.
           */
          function removeMinter(address minter)
              external
              onlyMasterMinter
              returns (bool)
          {
              minters[minter] = false;
              minterAllowed[minter] = 0;
              emit MinterRemoved(minter);
              return true;
          }
      
          /**
           * @dev allows a minter to burn some of its own tokens
           * Validates that caller is a minter and that sender is not blacklisted
           * amount is less than or equal to the minter's account balance
           * @param _amount uint256 the amount of tokens to be burned
           */
          function burn(uint256 _amount)
              external
              whenNotPaused
              onlyMinters
              notBlacklisted(msg.sender)
          {
              uint256 balance = balances[msg.sender];
              require(_amount > 0, "FiatToken: burn amount not greater than 0");
              require(balance >= _amount, "FiatToken: burn amount exceeds balance");
      
              totalSupply_ = totalSupply_.sub(_amount);
              balances[msg.sender] = balance.sub(_amount);
              emit Burn(msg.sender, _amount);
              emit Transfer(msg.sender, address(0), _amount);
          }
      
          function updateMasterMinter(address _newMasterMinter) external onlyOwner {
              require(
                  _newMasterMinter != address(0),
                  "FiatToken: new masterMinter is the zero address"
              );
              masterMinter = _newMasterMinter;
              emit MasterMinterChanged(masterMinter);
          }
      }
      
      // File: @openzeppelin/contracts/utils/Address.sol
      
      pragma solidity ^0.6.2;
      
      /**
       * @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
           * ====
           */
          function isContract(address account) internal view returns (bool) {
              // According to EIP-1052, 0x0 is the value returned for not-yet created accounts
              // and 0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470 is returned
              // for accounts without code, i.e. `keccak256('')`
              bytes32 codehash;
      
                  bytes32 accountHash
               = 0xc5d2460186f7233c927e7db2dcc703c0e500b653ca82273b7bfad8045d85a470;
              // solhint-disable-next-line no-inline-assembly
              assembly {
                  codehash := extcodehash(account)
              }
              return (codehash != accountHash && codehash != 0x0);
          }
      
          /**
           * @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"
              );
      
              // solhint-disable-next-line avoid-low-level-calls, avoid-call-value
              (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"
              );
              return _functionCallWithValue(target, data, value, errorMessage);
          }
      
          function _functionCallWithValue(
              address target,
              bytes memory data,
              uint256 weiValue,
              string memory errorMessage
          ) private returns (bytes memory) {
              require(isContract(target), "Address: call to non-contract");
      
              // solhint-disable-next-line avoid-low-level-calls
              (bool success, bytes memory returndata) = target.call{
                  value: weiValue
              }(data);
              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
      
                      // solhint-disable-next-line no-inline-assembly
                      assembly {
                          let returndata_size := mload(returndata)
                          revert(add(32, returndata), returndata_size)
                      }
                  } else {
                      revert(errorMessage);
                  }
              }
          }
      }
      
      // File: @openzeppelin/contracts/token/ERC20/SafeERC20.sol
      
      pragma solidity ^0.6.0;
      
      /**
       * @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 SafeMath for uint256;
          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'
              // solhint-disable-next-line max-line-length
              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).add(
                  value
              );
              _callOptionalReturn(
                  token,
                  abi.encodeWithSelector(
                      token.approve.selector,
                      spender,
                      newAllowance
                  )
              );
          }
      
          function safeDecreaseAllowance(
              IERC20 token,
              address spender,
              uint256 value
          ) internal {
              uint256 newAllowance = token.allowance(address(this), spender).sub(
                  value,
                  "SafeERC20: decreased allowance below zero"
              );
              _callOptionalReturn(
                  token,
                  abi.encodeWithSelector(
                      token.approve.selector,
                      spender,
                      newAllowance
                  )
              );
          }
      
          /**
           * @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
                  // solhint-disable-next-line max-line-length
                  require(
                      abi.decode(returndata, (bool)),
                      "SafeERC20: ERC20 operation did not succeed"
                  );
              }
          }
      }
      
      // File: contracts/v1.1/Rescuable.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      contract Rescuable is Ownable {
          using SafeERC20 for IERC20;
      
          address private _rescuer;
      
          event RescuerChanged(address indexed newRescuer);
      
          /**
           * @notice Returns current rescuer
           * @return Rescuer's address
           */
          function rescuer() external view returns (address) {
              return _rescuer;
          }
      
          /**
           * @notice Revert if called by any account other than the rescuer.
           */
          modifier onlyRescuer() {
              require(msg.sender == _rescuer, "Rescuable: caller is not the rescuer");
              _;
          }
      
          /**
           * @notice Rescue ERC20 tokens locked up in this contract.
           * @param tokenContract ERC20 token contract address
           * @param to        Recipient address
           * @param amount    Amount to withdraw
           */
          function rescueERC20(
              IERC20 tokenContract,
              address to,
              uint256 amount
          ) external onlyRescuer {
              tokenContract.safeTransfer(to, amount);
          }
      
          /**
           * @notice Assign the rescuer role to a given address.
           * @param newRescuer New rescuer's address
           */
          function updateRescuer(address newRescuer) external onlyOwner {
              require(
                  newRescuer != address(0),
                  "Rescuable: new rescuer is the zero address"
              );
              _rescuer = newRescuer;
              emit RescuerChanged(newRescuer);
          }
      }
      
      // File: contracts/v1.1/FiatTokenV1_1.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title FiatTokenV1_1
       * @dev ERC20 Token backed by fiat reserves
       */
      contract FiatTokenV1_1 is FiatTokenV1, Rescuable {
      
      }
      
      // File: contracts/v2/AbstractFiatTokenV2.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      abstract contract AbstractFiatTokenV2 is AbstractFiatTokenV1 {
          function _increaseAllowance(
              address owner,
              address spender,
              uint256 increment
          ) internal virtual;
      
          function _decreaseAllowance(
              address owner,
              address spender,
              uint256 decrement
          ) internal virtual;
      }
      
      // File: contracts/util/ECRecover.sol
      
      /**
       * Copyright (c) 2016-2019 zOS Global Limited
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title ECRecover
       * @notice A library that provides a safe ECDSA recovery function
       */
      library ECRecover {
          /**
           * @notice Recover signer's address from a signed message
           * @dev Adapted from: https://github.com/OpenZeppelin/openzeppelin-contracts/blob/65e4ffde586ec89af3b7e9140bdc9235d1254853/contracts/cryptography/ECDSA.sol
           * Modifications: Accept v, r, and s as separate arguments
           * @param digest    Keccak-256 hash digest of the signed message
           * @param v         v of the signature
           * @param r         r of the signature
           * @param s         s of the signature
           * @return Signer address
           */
          function recover(
              bytes32 digest,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) internal pure returns (address) {
              // EIP-2 still allows signature malleability for ecrecover(). Remove this possibility and make the signature
              // unique. Appendix F in the Ethereum Yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf), defines
              // the valid range for s in (281): 0 < s < secp256k1n ÷ 2 + 1, and for v in (282): v ∈ {27, 28}. Most
              // signatures from current libraries generate a unique signature with an s-value in the lower half order.
              //
              // If your library generates malleable signatures, such as s-values in the upper range, calculate a new s-value
              // with 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 - s1 and flip v from 27 to 28 or
              // vice versa. If your library also generates signatures with 0/1 for v instead 27/28, add 27 to v to accept
              // these malleable signatures as well.
              if (
                  uint256(s) >
                  0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0
              ) {
                  revert("ECRecover: invalid signature 's' value");
              }
      
              if (v != 27 && v != 28) {
                  revert("ECRecover: invalid signature 'v' value");
              }
      
              // If the signature is valid (and not malleable), return the signer address
              address signer = ecrecover(digest, v, r, s);
              require(signer != address(0), "ECRecover: invalid signature");
      
              return signer;
          }
      }
      
      // File: contracts/util/EIP712.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title EIP712
       * @notice A library that provides EIP712 helper functions
       */
      library EIP712 {
          /**
           * @notice Make EIP712 domain separator
           * @param name      Contract name
           * @param version   Contract version
           * @return Domain separator
           */
          function makeDomainSeparator(string memory name, string memory version)
              internal
              view
              returns (bytes32)
          {
              uint256 chainId;
              assembly {
                  chainId := chainid()
              }
              return
                  keccak256(
                      abi.encode(
                          // keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)")
                          0x8b73c3c69bb8fe3d512ecc4cf759cc79239f7b179b0ffacaa9a75d522b39400f,
                          keccak256(bytes(name)),
                          keccak256(bytes(version)),
                          chainId,
                          address(this)
                      )
                  );
          }
      
          /**
           * @notice Recover signer's address from a EIP712 signature
           * @param domainSeparator   Domain separator
           * @param v                 v of the signature
           * @param r                 r of the signature
           * @param s                 s of the signature
           * @param typeHashAndData   Type hash concatenated with data
           * @return Signer's address
           */
          function recover(
              bytes32 domainSeparator,
              uint8 v,
              bytes32 r,
              bytes32 s,
              bytes memory typeHashAndData
          ) internal pure returns (address) {
              bytes32 digest = keccak256(
                  abi.encodePacked(
                      "\x19\x01",
                      domainSeparator,
                      keccak256(typeHashAndData)
                  )
              );
              return ECRecover.recover(digest, v, r, s);
          }
      }
      
      // File: contracts/v2/EIP712Domain.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title EIP712 Domain
       */
      contract EIP712Domain {
          /**
           * @dev EIP712 Domain Separator
           */
          bytes32 public DOMAIN_SEPARATOR;
      }
      
      // File: contracts/v2/EIP3009.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title EIP-3009
       * @notice Provide internal implementation for gas-abstracted transfers
       * @dev Contracts that inherit from this must wrap these with publicly
       * accessible functions, optionally adding modifiers where necessary
       */
      abstract contract EIP3009 is AbstractFiatTokenV2, EIP712Domain {
          // keccak256("TransferWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
          bytes32
              public constant TRANSFER_WITH_AUTHORIZATION_TYPEHASH = 0x7c7c6cdb67a18743f49ec6fa9b35f50d52ed05cbed4cc592e13b44501c1a2267;
      
          // keccak256("ReceiveWithAuthorization(address from,address to,uint256 value,uint256 validAfter,uint256 validBefore,bytes32 nonce)")
          bytes32
              public constant RECEIVE_WITH_AUTHORIZATION_TYPEHASH = 0xd099cc98ef71107a616c4f0f941f04c322d8e254fe26b3c6668db87aae413de8;
      
          // keccak256("CancelAuthorization(address authorizer,bytes32 nonce)")
          bytes32
              public constant CANCEL_AUTHORIZATION_TYPEHASH = 0x158b0a9edf7a828aad02f63cd515c68ef2f50ba807396f6d12842833a1597429;
      
          /**
           * @dev authorizer address => nonce => bool (true if nonce is used)
           */
          mapping(address => mapping(bytes32 => bool)) private _authorizationStates;
      
          event AuthorizationUsed(address indexed authorizer, bytes32 indexed nonce);
          event AuthorizationCanceled(
              address indexed authorizer,
              bytes32 indexed nonce
          );
      
          /**
           * @notice Returns the state of an authorization
           * @dev Nonces are randomly generated 32-byte data unique to the
           * authorizer's address
           * @param authorizer    Authorizer's address
           * @param nonce         Nonce of the authorization
           * @return True if the nonce is used
           */
          function authorizationState(address authorizer, bytes32 nonce)
              external
              view
              returns (bool)
          {
              return _authorizationStates[authorizer][nonce];
          }
      
          /**
           * @notice Execute a transfer with a signed authorization
           * @param from          Payer's address (Authorizer)
           * @param to            Payee's address
           * @param value         Amount to be transferred
           * @param validAfter    The time after which this is valid (unix time)
           * @param validBefore   The time before which this is valid (unix time)
           * @param nonce         Unique nonce
           * @param v             v of the signature
           * @param r             r of the signature
           * @param s             s of the signature
           */
          function _transferWithAuthorization(
              address from,
              address to,
              uint256 value,
              uint256 validAfter,
              uint256 validBefore,
              bytes32 nonce,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) internal {
              _requireValidAuthorization(from, nonce, validAfter, validBefore);
      
              bytes memory data = abi.encode(
                  TRANSFER_WITH_AUTHORIZATION_TYPEHASH,
                  from,
                  to,
                  value,
                  validAfter,
                  validBefore,
                  nonce
              );
              require(
                  EIP712.recover(DOMAIN_SEPARATOR, v, r, s, data) == from,
                  "FiatTokenV2: invalid signature"
              );
      
              _markAuthorizationAsUsed(from, nonce);
              _transfer(from, to, value);
          }
      
          /**
           * @notice Receive a transfer with a signed authorization from the payer
           * @dev This has an additional check to ensure that the payee's address
           * matches the caller of this function to prevent front-running attacks.
           * @param from          Payer's address (Authorizer)
           * @param to            Payee's address
           * @param value         Amount to be transferred
           * @param validAfter    The time after which this is valid (unix time)
           * @param validBefore   The time before which this is valid (unix time)
           * @param nonce         Unique nonce
           * @param v             v of the signature
           * @param r             r of the signature
           * @param s             s of the signature
           */
          function _receiveWithAuthorization(
              address from,
              address to,
              uint256 value,
              uint256 validAfter,
              uint256 validBefore,
              bytes32 nonce,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) internal {
              require(to == msg.sender, "FiatTokenV2: caller must be the payee");
              _requireValidAuthorization(from, nonce, validAfter, validBefore);
      
              bytes memory data = abi.encode(
                  RECEIVE_WITH_AUTHORIZATION_TYPEHASH,
                  from,
                  to,
                  value,
                  validAfter,
                  validBefore,
                  nonce
              );
              require(
                  EIP712.recover(DOMAIN_SEPARATOR, v, r, s, data) == from,
                  "FiatTokenV2: invalid signature"
              );
      
              _markAuthorizationAsUsed(from, nonce);
              _transfer(from, to, value);
          }
      
          /**
           * @notice Attempt to cancel an authorization
           * @param authorizer    Authorizer's address
           * @param nonce         Nonce of the authorization
           * @param v             v of the signature
           * @param r             r of the signature
           * @param s             s of the signature
           */
          function _cancelAuthorization(
              address authorizer,
              bytes32 nonce,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) internal {
              _requireUnusedAuthorization(authorizer, nonce);
      
              bytes memory data = abi.encode(
                  CANCEL_AUTHORIZATION_TYPEHASH,
                  authorizer,
                  nonce
              );
              require(
                  EIP712.recover(DOMAIN_SEPARATOR, v, r, s, data) == authorizer,
                  "FiatTokenV2: invalid signature"
              );
      
              _authorizationStates[authorizer][nonce] = true;
              emit AuthorizationCanceled(authorizer, nonce);
          }
      
          /**
           * @notice Check that an authorization is unused
           * @param authorizer    Authorizer's address
           * @param nonce         Nonce of the authorization
           */
          function _requireUnusedAuthorization(address authorizer, bytes32 nonce)
              private
              view
          {
              require(
                  !_authorizationStates[authorizer][nonce],
                  "FiatTokenV2: authorization is used or canceled"
              );
          }
      
          /**
           * @notice Check that authorization is valid
           * @param authorizer    Authorizer's address
           * @param nonce         Nonce of the authorization
           * @param validAfter    The time after which this is valid (unix time)
           * @param validBefore   The time before which this is valid (unix time)
           */
          function _requireValidAuthorization(
              address authorizer,
              bytes32 nonce,
              uint256 validAfter,
              uint256 validBefore
          ) private view {
              require(
                  now > validAfter,
                  "FiatTokenV2: authorization is not yet valid"
              );
              require(now < validBefore, "FiatTokenV2: authorization is expired");
              _requireUnusedAuthorization(authorizer, nonce);
          }
      
          /**
           * @notice Mark an authorization as used
           * @param authorizer    Authorizer's address
           * @param nonce         Nonce of the authorization
           */
          function _markAuthorizationAsUsed(address authorizer, bytes32 nonce)
              private
          {
              _authorizationStates[authorizer][nonce] = true;
              emit AuthorizationUsed(authorizer, nonce);
          }
      }
      
      // File: contracts/v2/EIP2612.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title EIP-2612
       * @notice Provide internal implementation for gas-abstracted approvals
       */
      abstract contract EIP2612 is AbstractFiatTokenV2, EIP712Domain {
          // keccak256("Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)")
          bytes32
              public constant PERMIT_TYPEHASH = 0x6e71edae12b1b97f4d1f60370fef10105fa2faae0126114a169c64845d6126c9;
      
          mapping(address => uint256) private _permitNonces;
      
          /**
           * @notice Nonces for permit
           * @param owner Token owner's address (Authorizer)
           * @return Next nonce
           */
          function nonces(address owner) external view returns (uint256) {
              return _permitNonces[owner];
          }
      
          /**
           * @notice Verify a signed approval permit and execute if valid
           * @param owner     Token owner's address (Authorizer)
           * @param spender   Spender's address
           * @param value     Amount of allowance
           * @param deadline  The time at which this expires (unix time)
           * @param v         v of the signature
           * @param r         r of the signature
           * @param s         s of the signature
           */
          function _permit(
              address owner,
              address spender,
              uint256 value,
              uint256 deadline,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) internal {
              require(deadline >= now, "FiatTokenV2: permit is expired");
      
              bytes memory data = abi.encode(
                  PERMIT_TYPEHASH,
                  owner,
                  spender,
                  value,
                  _permitNonces[owner]++,
                  deadline
              );
              require(
                  EIP712.recover(DOMAIN_SEPARATOR, v, r, s, data) == owner,
                  "EIP2612: invalid signature"
              );
      
              _approve(owner, spender, value);
          }
      }
      
      // File: contracts/v2/FiatTokenV2.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      /**
       * @title FiatToken V2
       * @notice ERC20 Token backed by fiat reserves, version 2
       */
      contract FiatTokenV2 is FiatTokenV1_1, EIP3009, EIP2612 {
          uint8 internal _initializedVersion;
      
          /**
           * @notice Initialize v2
           * @param newName   New token name
           */
          function initializeV2(string calldata newName) external {
              // solhint-disable-next-line reason-string
              require(initialized && _initializedVersion == 0);
              name = newName;
              DOMAIN_SEPARATOR = EIP712.makeDomainSeparator(newName, "2");
              _initializedVersion = 1;
          }
      
          /**
           * @notice Increase the allowance by a given increment
           * @param spender   Spender's address
           * @param increment Amount of increase in allowance
           * @return True if successful
           */
          function increaseAllowance(address spender, uint256 increment)
              external
              whenNotPaused
              notBlacklisted(msg.sender)
              notBlacklisted(spender)
              returns (bool)
          {
              _increaseAllowance(msg.sender, spender, increment);
              return true;
          }
      
          /**
           * @notice Decrease the allowance by a given decrement
           * @param spender   Spender's address
           * @param decrement Amount of decrease in allowance
           * @return True if successful
           */
          function decreaseAllowance(address spender, uint256 decrement)
              external
              whenNotPaused
              notBlacklisted(msg.sender)
              notBlacklisted(spender)
              returns (bool)
          {
              _decreaseAllowance(msg.sender, spender, decrement);
              return true;
          }
      
          /**
           * @notice Execute a transfer with a signed authorization
           * @param from          Payer's address (Authorizer)
           * @param to            Payee's address
           * @param value         Amount to be transferred
           * @param validAfter    The time after which this is valid (unix time)
           * @param validBefore   The time before which this is valid (unix time)
           * @param nonce         Unique nonce
           * @param v             v of the signature
           * @param r             r of the signature
           * @param s             s of the signature
           */
          function transferWithAuthorization(
              address from,
              address to,
              uint256 value,
              uint256 validAfter,
              uint256 validBefore,
              bytes32 nonce,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
              _transferWithAuthorization(
                  from,
                  to,
                  value,
                  validAfter,
                  validBefore,
                  nonce,
                  v,
                  r,
                  s
              );
          }
      
          /**
           * @notice Receive a transfer with a signed authorization from the payer
           * @dev This has an additional check to ensure that the payee's address
           * matches the caller of this function to prevent front-running attacks.
           * @param from          Payer's address (Authorizer)
           * @param to            Payee's address
           * @param value         Amount to be transferred
           * @param validAfter    The time after which this is valid (unix time)
           * @param validBefore   The time before which this is valid (unix time)
           * @param nonce         Unique nonce
           * @param v             v of the signature
           * @param r             r of the signature
           * @param s             s of the signature
           */
          function receiveWithAuthorization(
              address from,
              address to,
              uint256 value,
              uint256 validAfter,
              uint256 validBefore,
              bytes32 nonce,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) external whenNotPaused notBlacklisted(from) notBlacklisted(to) {
              _receiveWithAuthorization(
                  from,
                  to,
                  value,
                  validAfter,
                  validBefore,
                  nonce,
                  v,
                  r,
                  s
              );
          }
      
          /**
           * @notice Attempt to cancel an authorization
           * @dev Works only if the authorization is not yet used.
           * @param authorizer    Authorizer's address
           * @param nonce         Nonce of the authorization
           * @param v             v of the signature
           * @param r             r of the signature
           * @param s             s of the signature
           */
          function cancelAuthorization(
              address authorizer,
              bytes32 nonce,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) external whenNotPaused {
              _cancelAuthorization(authorizer, nonce, v, r, s);
          }
      
          /**
           * @notice Update allowance with a signed permit
           * @param owner       Token owner's address (Authorizer)
           * @param spender     Spender's address
           * @param value       Amount of allowance
           * @param deadline    Expiration time, seconds since the epoch
           * @param v           v of the signature
           * @param r           r of the signature
           * @param s           s of the signature
           */
          function permit(
              address owner,
              address spender,
              uint256 value,
              uint256 deadline,
              uint8 v,
              bytes32 r,
              bytes32 s
          ) external whenNotPaused notBlacklisted(owner) notBlacklisted(spender) {
              _permit(owner, spender, value, deadline, v, r, s);
          }
      
          /**
           * @notice Internal function to increase the allowance by a given increment
           * @param owner     Token owner's address
           * @param spender   Spender's address
           * @param increment Amount of increase
           */
          function _increaseAllowance(
              address owner,
              address spender,
              uint256 increment
          ) internal override {
              _approve(owner, spender, allowed[owner][spender].add(increment));
          }
      
          /**
           * @notice Internal function to decrease the allowance by a given decrement
           * @param owner     Token owner's address
           * @param spender   Spender's address
           * @param decrement Amount of decrease
           */
          function _decreaseAllowance(
              address owner,
              address spender,
              uint256 decrement
          ) internal override {
              _approve(
                  owner,
                  spender,
                  allowed[owner][spender].sub(
                      decrement,
                      "ERC20: decreased allowance below zero"
                  )
              );
          }
      }
      
      // File: contracts/v2/FiatTokenV2_1.sol
      
      /**
       * Copyright (c) 2018-2020 CENTRE SECZ
       *
       * Permission is hereby granted, free of charge, to any person obtaining a copy
       * of this software and associated documentation files (the "Software"), to deal
       * in the Software without restriction, including without limitation the rights
       * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
       * copies of the Software, and to permit persons to whom the Software is
       * furnished to do so, subject to the following conditions:
       *
       * The above copyright notice and this permission notice shall be included in
       * copies or substantial portions of the Software.
       *
       * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
       * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
       * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
       * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
       * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
       * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
       * SOFTWARE.
       */
      
      pragma solidity 0.6.12;
      
      // solhint-disable func-name-mixedcase
      
      /**
       * @title FiatToken V2.1
       * @notice ERC20 Token backed by fiat reserves, version 2.1
       */
      contract FiatTokenV2_1 is FiatTokenV2 {
          /**
           * @notice Initialize v2.1
           * @param lostAndFound  The address to which the locked funds are sent
           */
          function initializeV2_1(address lostAndFound) external {
              // solhint-disable-next-line reason-string
              require(_initializedVersion == 1);
      
              uint256 lockedAmount = balances[address(this)];
              if (lockedAmount > 0) {
                  _transfer(address(this), lostAndFound, lockedAmount);
              }
              blacklisted[address(this)] = true;
      
              _initializedVersion = 2;
          }
      
          /**
           * @notice Version string for the EIP712 domain separator
           * @return Version string
           */
          function version() external view returns (string memory) {
              return "2";
          }
      }