Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta
• Remix IDE

More Options

• Similar
• Sol2Uml
• Submit Audit
• Compare

// SPDX-License-Identifier: 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/InputHelpers.sol";

import "../BaseMinimalSwapInfoPool.sol";

import "./WeightedMath.sol";
import "./WeightedPoolUserDataHelpers.sol";

// This contract relies on tons of immutable state variables to perform efficient lookup, without resorting to storage
// reads. Because immutable arrays are not supported, we instead declare a fixed set of state variables plus total
// count, resulting in a large number of state variables.

contract WeightedPool is BaseMinimalSwapInfoPool, WeightedMath {
    using FixedPoint for uint256;
    using WeightedPoolUserDataHelpers for bytes;

    // The protocol fees will always be charged using the token associated with the max weight in the pool.
    // Since these Pools will register tokens only once, we can assume this index will be constant.
    uint256 private immutable _maxWeightTokenIndex;

    uint256 private immutable _normalizedWeight0;
    uint256 private immutable _normalizedWeight1;
    uint256 private immutable _normalizedWeight2;
    uint256 private immutable _normalizedWeight3;
    uint256 private immutable _normalizedWeight4;
    uint256 private immutable _normalizedWeight5;
    uint256 private immutable _normalizedWeight6;
    uint256 private immutable _normalizedWeight7;

    uint256 private _lastInvariant;

    enum JoinKind { INIT, EXACT_TOKENS_IN_FOR_BPT_OUT, TOKEN_IN_FOR_EXACT_BPT_OUT }
    enum ExitKind { EXACT_BPT_IN_FOR_ONE_TOKEN_OUT, EXACT_BPT_IN_FOR_TOKENS_OUT, BPT_IN_FOR_EXACT_TOKENS_OUT }

    constructor(
        IVault vault,
        string memory name,
        string memory symbol,
        IERC20[] memory tokens,
        uint256[] memory normalizedWeights,
        uint256 swapFeePercentage,
        uint256 pauseWindowDuration,
        uint256 bufferPeriodDuration,
        address owner
    )
        BaseMinimalSwapInfoPool(
            vault,
            name,
            symbol,
            tokens,
            swapFeePercentage,
            pauseWindowDuration,
            bufferPeriodDuration,
            owner
        )
    {
        uint256 numTokens = tokens.length;
        InputHelpers.ensureInputLengthMatch(numTokens, normalizedWeights.length);

        // Ensure  each normalized weight is above them minimum and find the token index of the maximum weight
        uint256 normalizedSum = 0;
        uint256 maxWeightTokenIndex = 0;
        uint256 maxNormalizedWeight = 0;
        for (uint8 i = 0; i < numTokens; i++) {
            uint256 normalizedWeight = normalizedWeights[i];
            _require(normalizedWeight >= _MIN_WEIGHT, Errors.MIN_WEIGHT);

            normalizedSum = normalizedSum.add(normalizedWeight);
            if (normalizedWeight > maxNormalizedWeight) {
                maxWeightTokenIndex = i;
                maxNormalizedWeight = normalizedWeight;
            }
        }
        // Ensure that the normalized weights sum to ONE
        _require(normalizedSum == FixedPoint.ONE, Errors.NORMALIZED_WEIGHT_INVARIANT);

        _maxWeightTokenIndex = maxWeightTokenIndex;
        _normalizedWeight0 = normalizedWeights.length > 0 ? normalizedWeights[0] : 0;
        _normalizedWeight1 = normalizedWeights.length > 1 ? normalizedWeights[1] : 0;
        _normalizedWeight2 = normalizedWeights.length > 2 ? normalizedWeights[2] : 0;
        _normalizedWeight3 = normalizedWeights.length > 3 ? normalizedWeights[3] : 0;
        _normalizedWeight4 = normalizedWeights.length > 4 ? normalizedWeights[4] : 0;
        _normalizedWeight5 = normalizedWeights.length > 5 ? normalizedWeights[5] : 0;
        _normalizedWeight6 = normalizedWeights.length > 6 ? normalizedWeights[6] : 0;
        _normalizedWeight7 = normalizedWeights.length > 7 ? normalizedWeights[7] : 0;
    }

    function _normalizedWeight(IERC20 token) internal view virtual returns (uint256) {
        // prettier-ignore
        if (token == _token0) { return _normalizedWeight0; }
        else if (token == _token1) { return _normalizedWeight1; }
        else if (token == _token2) { return _normalizedWeight2; }
        else if (token == _token3) { return _normalizedWeight3; }
        else if (token == _token4) { return _normalizedWeight4; }
        else if (token == _token5) { return _normalizedWeight5; }
        else if (token == _token6) { return _normalizedWeight6; }
        else if (token == _token7) { return _normalizedWeight7; }
        else {
            _revert(Errors.INVALID_TOKEN);
        }
    }

    function _normalizedWeights() internal view virtual returns (uint256[] memory) {
        uint256 totalTokens = _getTotalTokens();
        uint256[] memory normalizedWeights = new uint256[](totalTokens);

        // prettier-ignore
        {
            if (totalTokens > 0) { normalizedWeights[0] = _normalizedWeight0; } else { return normalizedWeights; }
            if (totalTokens > 1) { normalizedWeights[1] = _normalizedWeight1; } else { return normalizedWeights; }
            if (totalTokens > 2) { normalizedWeights[2] = _normalizedWeight2; } else { return normalizedWeights; }
            if (totalTokens > 3) { normalizedWeights[3] = _normalizedWeight3; } else { return normalizedWeights; }
            if (totalTokens > 4) { normalizedWeights[4] = _normalizedWeight4; } else { return normalizedWeights; }
            if (totalTokens > 5) { normalizedWeights[5] = _normalizedWeight5; } else { return normalizedWeights; }
            if (totalTokens > 6) { normalizedWeights[6] = _normalizedWeight6; } else { return normalizedWeights; }
            if (totalTokens > 7) { normalizedWeights[7] = _normalizedWeight7; } else { return normalizedWeights; }
        }

        return normalizedWeights;
    }

    function getLastInvariant() external view returns (uint256) {
        return _lastInvariant;
    }

    /**
     * @dev Returns the current value of the invariant.
     */
    function getInvariant() public view returns (uint256) {
        (, uint256[] memory balances, ) = getVault().getPoolTokens(getPoolId());

        // Since the Pool hooks always work with upscaled balances, we manually
        // upscale here for consistency
        _upscaleArray(balances, _scalingFactors());

        uint256[] memory normalizedWeights = _normalizedWeights();
        return WeightedMath._calculateInvariant(normalizedWeights, balances);
    }

    function getNormalizedWeights() external view returns (uint256[] memory) {
        return _normalizedWeights();
    }

    // Base Pool handlers

    // Swap

    function _onSwapGivenIn(
        SwapRequest memory swapRequest,
        uint256 currentBalanceTokenIn,
        uint256 currentBalanceTokenOut
    ) internal view virtual override whenNotPaused returns (uint256) {
        // Swaps are disabled while the contract is paused.

        return
            WeightedMath._calcOutGivenIn(
                currentBalanceTokenIn,
                _normalizedWeight(swapRequest.tokenIn),
                currentBalanceTokenOut,
                _normalizedWeight(swapRequest.tokenOut),
                swapRequest.amount
            );
    }

    function _onSwapGivenOut(
        SwapRequest memory swapRequest,
        uint256 currentBalanceTokenIn,
        uint256 currentBalanceTokenOut
    ) internal view virtual override whenNotPaused returns (uint256) {
        // Swaps are disabled while the contract is paused.

        return
            WeightedMath._calcInGivenOut(
                currentBalanceTokenIn,
                _normalizedWeight(swapRequest.tokenIn),
                currentBalanceTokenOut,
                _normalizedWeight(swapRequest.tokenOut),
                swapRequest.amount
            );
    }

    // Initialize

    function _onInitializePool(
        bytes32,
        address,
        address,
        bytes memory userData
    ) internal virtual override whenNotPaused returns (uint256, uint256[] memory) {
        // It would be strange for the Pool to be paused before it is initialized, but for consistency we prevent
        // initialization in this case.

        WeightedPool.JoinKind kind = userData.joinKind();
        _require(kind == WeightedPool.JoinKind.INIT, Errors.UNINITIALIZED);

        uint256[] memory amountsIn = userData.initialAmountsIn();
        InputHelpers.ensureInputLengthMatch(_getTotalTokens(), amountsIn.length);
        _upscaleArray(amountsIn, _scalingFactors());

        uint256[] memory normalizedWeights = _normalizedWeights();

        uint256 invariantAfterJoin = WeightedMath._calculateInvariant(normalizedWeights, amountsIn);

        // Set the initial BPT to the value of the invariant times the number of tokens. This makes BPT supply more
        // consistent in Pools with similar compositions but different number of tokens.
        uint256 bptAmountOut = Math.mul(invariantAfterJoin, _getTotalTokens());

        _lastInvariant = invariantAfterJoin;

        return (bptAmountOut, amountsIn);
    }

    // Join

    function _onJoinPool(
        bytes32,
        address,
        address,
        uint256[] memory balances,
        uint256,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    )
        internal
        virtual
        override
        whenNotPaused
        returns (
            uint256,
            uint256[] memory,
            uint256[] memory
        )
    {
        // All joins are disabled while the contract is paused.

        uint256[] memory normalizedWeights = _normalizedWeights();

        // Due protocol swap fee amounts are computed by measuring the growth of the invariant between the previous join
        // or exit event and now - the invariant's growth is due exclusively to swap fees. This avoids spending gas
        // computing them on each individual swap
        uint256 invariantBeforeJoin = WeightedMath._calculateInvariant(normalizedWeights, balances);

        uint256[] memory dueProtocolFeeAmounts = _getDueProtocolFeeAmounts(
            balances,
            normalizedWeights,
            _lastInvariant,
            invariantBeforeJoin,
            protocolSwapFeePercentage
        );

        // Update current balances by subtracting the protocol fee amounts
        _mutateAmounts(balances, dueProtocolFeeAmounts, FixedPoint.sub);
        (uint256 bptAmountOut, uint256[] memory amountsIn) = _doJoin(balances, normalizedWeights, userData);

        // Update the invariant with the balances the Pool will have after the join, in order to compute the
        // protocol swap fee amounts due in future joins and exits.
        _lastInvariant = _invariantAfterJoin(balances, amountsIn, normalizedWeights);

        return (bptAmountOut, amountsIn, dueProtocolFeeAmounts);
    }

    function _doJoin(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        JoinKind kind = userData.joinKind();

        if (kind == JoinKind.EXACT_TOKENS_IN_FOR_BPT_OUT) {
            return _joinExactTokensInForBPTOut(balances, normalizedWeights, userData);
        } else if (kind == JoinKind.TOKEN_IN_FOR_EXACT_BPT_OUT) {
            return _joinTokenInForExactBPTOut(balances, normalizedWeights, userData);
        } else {
            _revert(Errors.UNHANDLED_JOIN_KIND);
        }
    }

    function _joinExactTokensInForBPTOut(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        (uint256[] memory amountsIn, uint256 minBPTAmountOut) = userData.exactTokensInForBptOut();
        InputHelpers.ensureInputLengthMatch(_getTotalTokens(), amountsIn.length);

        _upscaleArray(amountsIn, _scalingFactors());

        uint256 bptAmountOut = WeightedMath._calcBptOutGivenExactTokensIn(
            balances,
            normalizedWeights,
            amountsIn,
            totalSupply(),
            _swapFeePercentage
        );

        _require(bptAmountOut >= minBPTAmountOut, Errors.BPT_OUT_MIN_AMOUNT);

        return (bptAmountOut, amountsIn);
    }

    function _joinTokenInForExactBPTOut(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        (uint256 bptAmountOut, uint256 tokenIndex) = userData.tokenInForExactBptOut();
        // Note that there is no maximum amountIn parameter: this is handled by `IVault.joinPool`.

        _require(tokenIndex < _getTotalTokens(), Errors.OUT_OF_BOUNDS);

        uint256[] memory amountsIn = new uint256[](_getTotalTokens());
        amountsIn[tokenIndex] = WeightedMath._calcTokenInGivenExactBptOut(
            balances[tokenIndex],
            normalizedWeights[tokenIndex],
            bptAmountOut,
            totalSupply(),
            _swapFeePercentage
        );

        return (bptAmountOut, amountsIn);
    }

    // Exit

    function _onExitPool(
        bytes32,
        address,
        address,
        uint256[] memory balances,
        uint256,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    )
        internal
        virtual
        override
        returns (
            uint256 bptAmountIn,
            uint256[] memory amountsOut,
            uint256[] memory dueProtocolFeeAmounts
        )
    {
        // Exits are not completely disabled while the contract is paused: proportional exits (exact BPT in for tokens
        // out) remain functional.

        uint256[] memory normalizedWeights = _normalizedWeights();

        if (_isNotPaused()) {
            // Due protocol swap fee amounts are computed by measuring the growth of the invariant between the previous
            // join or exit event and now - the invariant's growth is due exclusively to swap fees. This avoids
            // spending gas calculating the fees on each individual swap.
            uint256 invariantBeforeExit = WeightedMath._calculateInvariant(normalizedWeights, balances);
            dueProtocolFeeAmounts = _getDueProtocolFeeAmounts(
                balances,
                normalizedWeights,
                _lastInvariant,
                invariantBeforeExit,
                protocolSwapFeePercentage
            );

            // Update current balances by subtracting the protocol fee amounts
            _mutateAmounts(balances, dueProtocolFeeAmounts, FixedPoint.sub);
        } else {
            // If the contract is paused, swap protocol fee amounts are not charged to avoid extra calculations and
            // reduce the potential for errors.
            dueProtocolFeeAmounts = new uint256[](_getTotalTokens());
        }

        (bptAmountIn, amountsOut) = _doExit(balances, normalizedWeights, userData);

        // Update the invariant with the balances the Pool will have after the exit, in order to compute the
        // protocol swap fees due in future joins and exits.
        _lastInvariant = _invariantAfterExit(balances, amountsOut, normalizedWeights);

        return (bptAmountIn, amountsOut, dueProtocolFeeAmounts);
    }

    function _doExit(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        ExitKind kind = userData.exitKind();

        if (kind == ExitKind.EXACT_BPT_IN_FOR_ONE_TOKEN_OUT) {
            return _exitExactBPTInForTokenOut(balances, normalizedWeights, userData);
        } else if (kind == ExitKind.EXACT_BPT_IN_FOR_TOKENS_OUT) {
            return _exitExactBPTInForTokensOut(balances, userData);
        } else {
            // ExitKind.BPT_IN_FOR_EXACT_TOKENS_OUT
            return _exitBPTInForExactTokensOut(balances, normalizedWeights, userData);
        }
    }

    function _exitExactBPTInForTokenOut(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        bytes memory userData
    ) private view whenNotPaused returns (uint256, uint256[] memory) {
        // This exit function is disabled if the contract is paused.

        (uint256 bptAmountIn, uint256 tokenIndex) = userData.exactBptInForTokenOut();
        // Note that there is no minimum amountOut parameter: this is handled by `IVault.exitPool`.

        _require(tokenIndex < _getTotalTokens(), Errors.OUT_OF_BOUNDS);

        // We exit in a single token, so we initialize amountsOut with zeros
        uint256[] memory amountsOut = new uint256[](_getTotalTokens());

        // And then assign the result to the selected token
        amountsOut[tokenIndex] = WeightedMath._calcTokenOutGivenExactBptIn(
            balances[tokenIndex],
            normalizedWeights[tokenIndex],
            bptAmountIn,
            totalSupply(),
            _swapFeePercentage
        );

        return (bptAmountIn, amountsOut);
    }

    function _exitExactBPTInForTokensOut(uint256[] memory balances, bytes memory userData)
        private
        view
        returns (uint256, uint256[] memory)
    {
        // This exit function is the only one that is not disabled if the contract is paused: it remains unrestricted
        // in an attempt to provide users with a mechanism to retrieve their tokens in case of an emergency.
        // This particular exit function is the only one that remains available because it is the simplest one, and
        // therefore the one with the lowest likelihood of errors.

        uint256 bptAmountIn = userData.exactBptInForTokensOut();
        // Note that there is no minimum amountOut parameter: this is handled by `IVault.exitPool`.

        uint256[] memory amountsOut = WeightedMath._calcTokensOutGivenExactBptIn(balances, bptAmountIn, totalSupply());
        return (bptAmountIn, amountsOut);
    }

    function _exitBPTInForExactTokensOut(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        bytes memory userData
    ) private view whenNotPaused returns (uint256, uint256[] memory) {
        // This exit function is disabled if the contract is paused.

        (uint256[] memory amountsOut, uint256 maxBPTAmountIn) = userData.bptInForExactTokensOut();
        InputHelpers.ensureInputLengthMatch(amountsOut.length, _getTotalTokens());
        _upscaleArray(amountsOut, _scalingFactors());

        uint256 bptAmountIn = WeightedMath._calcBptInGivenExactTokensOut(
            balances,
            normalizedWeights,
            amountsOut,
            totalSupply(),
            _swapFeePercentage
        );
        _require(bptAmountIn <= maxBPTAmountIn, Errors.BPT_IN_MAX_AMOUNT);

        return (bptAmountIn, amountsOut);
    }

    // Helpers

    function _getDueProtocolFeeAmounts(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        uint256 previousInvariant,
        uint256 currentInvariant,
        uint256 protocolSwapFeePercentage
    ) private view returns (uint256[] memory) {
        // Initialize with zeros
        uint256[] memory dueProtocolFeeAmounts = new uint256[](_getTotalTokens());

        // Early return if the protocol swap fee percentage is zero, saving gas.
        if (protocolSwapFeePercentage == 0) {
            return dueProtocolFeeAmounts;
        }

        // The protocol swap fees are always paid using the token with the largest weight in the Pool. As this is the
        // token that is expected to have the largest balance, using it to pay fees should not unbalance the Pool.
        dueProtocolFeeAmounts[_maxWeightTokenIndex] = WeightedMath._calcDueTokenProtocolSwapFeeAmount(
            balances[_maxWeightTokenIndex],
            normalizedWeights[_maxWeightTokenIndex],
            previousInvariant,
            currentInvariant,
            protocolSwapFeePercentage
        );

        return dueProtocolFeeAmounts;
    }

    /**
     * @dev Returns the value of the invariant given `balances`, assuming they are increased by `amountsIn`. All
     * amounts are expected to be upscaled.
     */
    function _invariantAfterJoin(
        uint256[] memory balances,
        uint256[] memory amountsIn,
        uint256[] memory normalizedWeights
    ) private view returns (uint256) {
        _mutateAmounts(balances, amountsIn, FixedPoint.add);
        return WeightedMath._calculateInvariant(normalizedWeights, balances);
    }

    function _invariantAfterExit(
        uint256[] memory balances,
        uint256[] memory amountsOut,
        uint256[] memory normalizedWeights
    ) private view returns (uint256) {
        _mutateAmounts(balances, amountsOut, FixedPoint.sub);
        return WeightedMath._calculateInvariant(normalizedWeights, balances);
    }

    /**
     * @dev Mutates `amounts` by applying `mutation` with each entry in `arguments`.
     *
     * Equivalent to `amounts = amounts.map(mutation)`.
     */
    function _mutateAmounts(
        uint256[] memory toMutate,
        uint256[] memory arguments,
        function(uint256, uint256) pure returns (uint256) mutation
    ) private view {
        for (uint256 i = 0; i < _getTotalTokens(); ++i) {
            toMutate[i] = mutation(toMutate[i], arguments[i]);
        }
    }

    /**
     * @dev This function returns the appreciation of one BPT relative to the
     * underlying tokens. This starts at 1 when the pool is created and grows over time
     */
    function getRate() public view returns (uint256) {
        // The initial BPT supply is equal to the invariant times the number of tokens.
        return Math.mul(getInvariant(), _getTotalTokens()).divDown(totalSupply());
    }
}

// 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: 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;

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;

/**
 * @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;

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;

// 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;

/**
 * @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: 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;

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: 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: 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: 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;

// 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;

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;
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/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;

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 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 "./BasePool.sol";
import "../vault/interfaces/IMinimalSwapInfoPool.sol";

/**
 * @dev Extension of `BasePool`, adding a handler for `IMinimalSwapInfoPool.onSwap`.
 *
 * Derived contracts must implement `_onSwapGivenIn` and `_onSwapGivenOut` along with `BasePool`'s virtual functions.
 */
abstract contract BaseMinimalSwapInfoPool is IMinimalSwapInfoPool, BasePool {
    constructor(
        IVault vault,
        string memory name,
        string memory symbol,
        IERC20[] memory tokens,
        uint256 swapFeePercentage,
        uint256 pauseWindowDuration,
        uint256 bufferPeriodDuration,
        address owner
    )
        BasePool(
            vault,
            tokens.length == 2 ? IVault.PoolSpecialization.TWO_TOKEN : IVault.PoolSpecialization.MINIMAL_SWAP_INFO,
            name,
            symbol,
            tokens,
            swapFeePercentage,
            pauseWindowDuration,
            bufferPeriodDuration,
            owner
        )
    {
        // solhint-disable-previous-line no-empty-blocks
    }

    // Swap Hooks

    function onSwap(
        SwapRequest memory request,
        uint256 balanceTokenIn,
        uint256 balanceTokenOut
    ) external view virtual override returns (uint256) {
        uint256 scalingFactorTokenIn = _scalingFactor(request.tokenIn);
        uint256 scalingFactorTokenOut = _scalingFactor(request.tokenOut);

        if (request.kind == IVault.SwapKind.GIVEN_IN) {
            // Fees are subtracted before scaling, to reduce the complexity of the rounding direction analysis.
            request.amount = _subtractSwapFeeAmount(request.amount);

            // All token amounts are upscaled.
            balanceTokenIn = _upscale(balanceTokenIn, scalingFactorTokenIn);
            balanceTokenOut = _upscale(balanceTokenOut, scalingFactorTokenOut);
            request.amount = _upscale(request.amount, scalingFactorTokenIn);

            uint256 amountOut = _onSwapGivenIn(request, balanceTokenIn, balanceTokenOut);

            // amountOut tokens are exiting the Pool, so we round down.
            return _downscaleDown(amountOut, scalingFactorTokenOut);
        } else {
            // All token amounts are upscaled.
            balanceTokenIn = _upscale(balanceTokenIn, scalingFactorTokenIn);
            balanceTokenOut = _upscale(balanceTokenOut, scalingFactorTokenOut);
            request.amount = _upscale(request.amount, scalingFactorTokenOut);

            uint256 amountIn = _onSwapGivenOut(request, balanceTokenIn, balanceTokenOut);

            // amountIn tokens are entering the Pool, so we round up.
            amountIn = _downscaleUp(amountIn, scalingFactorTokenIn);

            // Fees are added after scaling happens, to reduce the complexity of the rounding direction analysis.
            return _addSwapFeeAmount(amountIn);
        }
    }

    /*
     * @dev Called when a swap with the Pool occurs, where the amount of tokens entering the Pool is known.
     *
     * Returns the amount of tokens that will be taken from the Pool in return.
     *
     * All amounts inside `swapRequest`, `balanceTokenIn` and `balanceTokenOut` are upscaled. The swap fee has already
     * been deducted from `swapRequest.amount`.
     *
     * The return value is also considered upscaled, and will be downscaled (rounding down) before returning it to the
     * Vault.
     */
    function _onSwapGivenIn(
        SwapRequest memory swapRequest,
        uint256 balanceTokenIn,
        uint256 balanceTokenOut
    ) internal view virtual returns (uint256);

    /*
     * @dev Called when a swap with the Pool occurs, where the amount of tokens exiting the Pool is known.
     *
     * Returns the amount of tokens that will be granted to the Pool in return.
     *
     * All amounts inside `swapRequest`, `balanceTokenIn` and `balanceTokenOut` are upscaled.
     *
     * The return value is also considered upscaled, and will be downscaled (rounding up) before applying the swap fee
     * and returning it to the Vault.
     */
    function _onSwapGivenOut(
        SwapRequest memory swapRequest,
        uint256 balanceTokenIn,
        uint256 balanceTokenOut
    ) internal view 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 "../../lib/math/FixedPoint.sol";
import "../../lib/math/Math.sol";
import "../../lib/helpers/InputHelpers.sol";

/* solhint-disable private-vars-leading-underscore */

contract WeightedMath {
    using FixedPoint for uint256;
    // A minimum normalized weight imposes a maximum weight ratio. We need this due to limitations in the
    // implementation of the power function, as these ratios are often exponents.
    uint256 internal constant _MIN_WEIGHT = 0.01e18;
    // Having a minimum normalized weight imposes a limit on the maximum number of tokens;
    // i.e., the largest possible pool is one where all tokens have exactly the minimum weight.
    uint256 internal constant _MAX_WEIGHTED_TOKENS = 100;

    // Pool limits that arise from limitations in the fixed point power function (and the imposed 1:100 maximum weight
    // ratio).

    // Swap limits: amounts swapped may not be larger than this percentage of total balance.
    uint256 internal constant _MAX_IN_RATIO = 0.3e18;
    uint256 internal constant _MAX_OUT_RATIO = 0.3e18;

    // Invariant growth limit: non-proportional joins cannot cause the invariant to increase by more than this ratio.
    uint256 internal constant _MAX_INVARIANT_RATIO = 3e18;
    // Invariant shrink limit: non-proportional exits cannot cause the invariant to decrease by less than this ratio.
    uint256 internal constant _MIN_INVARIANT_RATIO = 0.7e18;

    // Invariant is used to collect protocol swap fees by comparing its value between two times.
    // So we can round always to the same direction. It is also used to initiate the BPT amount
    // and, because there is a minimum BPT, we round down the invariant.
    function _calculateInvariant(uint256[] memory normalizedWeights, uint256[] memory balances)
        internal
        pure
        returns (uint256 invariant)
    {
        /**********************************************************************************************
        // invariant               _____                                                             //
        // wi = weight index i      | |      wi                                                      //
        // bi = balance index i     | |  bi ^   = i                                                  //
        // i = invariant                                                                             //
        **********************************************************************************************/

        invariant = FixedPoint.ONE;
        for (uint256 i = 0; i < normalizedWeights.length; i++) {
            invariant = invariant.mulDown(balances[i].powDown(normalizedWeights[i]));
        }

        _require(invariant > 0, Errors.ZERO_INVARIANT);
    }

    // Computes how many tokens can be taken out of a pool if `amountIn` are sent, given the
    // current balances and weights.
    function _calcOutGivenIn(
        uint256 balanceIn,
        uint256 weightIn,
        uint256 balanceOut,
        uint256 weightOut,
        uint256 amountIn
    ) internal pure returns (uint256) {
        /**********************************************************************************************
        // outGivenIn                                                                                //
        // aO = amountOut                                                                            //
        // bO = balanceOut                                                                           //
        // bI = balanceIn              /      /            bI             \    (wI / wO) \           //
        // aI = amountIn    aO = bO * |  1 - | --------------------------  | ^            |          //
        // wI = weightIn               \      \       ( bI + aI )         /              /           //
        // wO = weightOut                                                                            //
        **********************************************************************************************/

        // Amount out, so we round down overall.

        // The multiplication rounds down, and the subtrahend (power) rounds up (so the base rounds up too).
        // Because bI / (bI + aI) <= 1, the exponent rounds down.

        // Cannot exceed maximum in ratio
        _require(amountIn <= balanceIn.mulDown(_MAX_IN_RATIO), Errors.MAX_IN_RATIO);

        uint256 denominator = balanceIn.add(amountIn);
        uint256 base = balanceIn.divUp(denominator);
        uint256 exponent = weightIn.divDown(weightOut);
        uint256 power = base.powUp(exponent);

        return balanceOut.mulDown(power.complement());
    }

    // Computes how many tokens must be sent to a pool in order to take `amountOut`, given the
    // current balances and weights.
    function _calcInGivenOut(
        uint256 balanceIn,
        uint256 weightIn,
        uint256 balanceOut,
        uint256 weightOut,
        uint256 amountOut
    ) internal pure returns (uint256) {
        /**********************************************************************************************
        // inGivenOut                                                                                //
        // aO = amountOut                                                                            //
        // bO = balanceOut                                                                           //
        // bI = balanceIn              /  /            bO             \    (wO / wI)      \          //
        // aI = amountIn    aI = bI * |  | --------------------------  | ^            - 1  |         //
        // wI = weightIn               \  \       ( bO - aO )         /                   /          //
        // wO = weightOut                                                                            //
        **********************************************************************************************/

        // Amount in, so we round up overall.

        // The multiplication rounds up, and the power rounds up (so the base rounds up too).
        // Because b0 / (b0 - a0) >= 1, the exponent rounds up.

        // Cannot exceed maximum out ratio
        _require(amountOut <= balanceOut.mulDown(_MAX_OUT_RATIO), Errors.MAX_OUT_RATIO);

        uint256 base = balanceOut.divUp(balanceOut.sub(amountOut));
        uint256 exponent = weightOut.divUp(weightIn);
        uint256 power = base.powUp(exponent);

        // Because the base is larger than one (and the power rounds up), the power should always be larger than one, so
        // the following subtraction should never revert.
        uint256 ratio = power.sub(FixedPoint.ONE);

        return balanceIn.mulUp(ratio);
    }

    function _calcBptOutGivenExactTokensIn(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        uint256[] memory amountsIn,
        uint256 bptTotalSupply,
        uint256 swapFee
    ) internal pure returns (uint256) {
        // BPT out, so we round down overall.

        uint256[] memory balanceRatiosWithFee = new uint256[](amountsIn.length);

        uint256 invariantRatioWithFees = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            balanceRatiosWithFee[i] = balances[i].add(amountsIn[i]).divDown(balances[i]);
            invariantRatioWithFees = invariantRatioWithFees.add(balanceRatiosWithFee[i].mulDown(normalizedWeights[i]));
        }

        uint256 invariantRatio = FixedPoint.ONE;
        for (uint256 i = 0; i < balances.length; i++) {
            uint256 amountInWithoutFee;

            if (balanceRatiosWithFee[i] > invariantRatioWithFees) {
                uint256 nonTaxableAmount = balances[i].mulDown(invariantRatioWithFees.sub(FixedPoint.ONE));
                uint256 taxableAmount = amountsIn[i].sub(nonTaxableAmount);
                amountInWithoutFee = nonTaxableAmount.add(taxableAmount.mulDown(FixedPoint.ONE.sub(swapFee)));
            } else {
                amountInWithoutFee = amountsIn[i];
            }

            uint256 balanceRatio = balances[i].add(amountInWithoutFee).divDown(balances[i]);

            invariantRatio = invariantRatio.mulDown(balanceRatio.powDown(normalizedWeights[i]));
        }

        if (invariantRatio >= FixedPoint.ONE) {
            return bptTotalSupply.mulDown(invariantRatio.sub(FixedPoint.ONE));
        } else {
            return 0;
        }
    }

    function _calcTokenInGivenExactBptOut(
        uint256 balance,
        uint256 normalizedWeight,
        uint256 bptAmountOut,
        uint256 bptTotalSupply,
        uint256 swapFee
    ) internal pure returns (uint256) {
        /******************************************************************************************
        // tokenInForExactBPTOut                                                                 //
        // a = amountIn                                                                          //
        // b = balance                      /  /    totalBPT + bptOut      \    (1 / w)       \  //
        // bptOut = bptAmountOut   a = b * |  | --------------------------  | ^          - 1  |  //
        // bpt = totalBPT                   \  \       totalBPT            /                  /  //
        // w = weight                                                                            //
        ******************************************************************************************/

        // Token in, so we round up overall.

        // Calculate the factor by which the invariant will increase after minting BPTAmountOut
        uint256 invariantRatio = bptTotalSupply.add(bptAmountOut).divUp(bptTotalSupply);
        _require(invariantRatio <= _MAX_INVARIANT_RATIO, Errors.MAX_OUT_BPT_FOR_TOKEN_IN);

        // Calculate by how much the token balance has to increase to match the invariantRatio
        uint256 balanceRatio = invariantRatio.powUp(FixedPoint.ONE.divUp(normalizedWeight));

        uint256 amountInWithoutFee = balance.mulUp(balanceRatio.sub(FixedPoint.ONE));

        // We can now compute how much extra balance is being deposited and used in virtual swaps, and charge swap fees
        // accordingly.
        uint256 taxablePercentage = normalizedWeight.complement();
        uint256 taxableAmount = amountInWithoutFee.mulUp(taxablePercentage);
        uint256 nonTaxableAmount = amountInWithoutFee.sub(taxableAmount);

        return nonTaxableAmount.add(taxableAmount.divUp(swapFee.complement()));
    }

    function _calcBptInGivenExactTokensOut(
        uint256[] memory balances,
        uint256[] memory normalizedWeights,
        uint256[] memory amountsOut,
        uint256 bptTotalSupply,
        uint256 swapFee
    ) internal pure returns (uint256) {
        // BPT in, so we round up overall.

        uint256[] memory balanceRatiosWithoutFee = new uint256[](amountsOut.length);
        uint256 invariantRatioWithoutFees = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            balanceRatiosWithoutFee[i] = balances[i].sub(amountsOut[i]).divUp(balances[i]);
            invariantRatioWithoutFees = invariantRatioWithoutFees.add(
                balanceRatiosWithoutFee[i].mulUp(normalizedWeights[i])
            );
        }

        uint256 invariantRatio = FixedPoint.ONE;
        for (uint256 i = 0; i < balances.length; i++) {
            // Swap fees are typically charged on 'token in', but there is no 'token in' here,
            // o we apply it to 'token out'.
            // This results in slightly larger price impact.

            uint256 amountOutWithFee;
            if (invariantRatioWithoutFees > balanceRatiosWithoutFee[i]) {
                uint256 nonTaxableAmount = balances[i].mulDown(invariantRatioWithoutFees.complement());
                uint256 taxableAmount = amountsOut[i].sub(nonTaxableAmount);

                amountOutWithFee = nonTaxableAmount.add(taxableAmount.divUp(swapFee.complement()));
            } else {
                amountOutWithFee = amountsOut[i];
            }

            uint256 balanceRatio = balances[i].sub(amountOutWithFee).divDown(balances[i]);

            invariantRatio = invariantRatio.mulDown(balanceRatio.powDown(normalizedWeights[i]));
        }

        return bptTotalSupply.mulUp(invariantRatio.complement());
    }

    function _calcTokenOutGivenExactBptIn(
        uint256 balance,
        uint256 normalizedWeight,
        uint256 bptAmountIn,
        uint256 bptTotalSupply,
        uint256 swapFee
    ) internal pure returns (uint256) {
        /*****************************************************************************************
        // exactBPTInForTokenOut                                                                //
        // a = amountOut                                                                        //
        // b = balance                     /      /    totalBPT - bptIn       \    (1 / w)  \   //
        // bptIn = bptAmountIn    a = b * |  1 - | --------------------------  | ^           |  //
        // bpt = totalBPT                  \      \       totalBPT            /             /   //
        // w = weight                                                                           //
        *****************************************************************************************/

        // Token out, so we round down overall. The multiplication rounds down, but the power rounds up (so the base
        // rounds up). Because (totalBPT - bptIn) / totalBPT <= 1, the exponent rounds down.

        // Calculate the factor by which the invariant will decrease after burning BPTAmountIn
        uint256 invariantRatio = bptTotalSupply.sub(bptAmountIn).divUp(bptTotalSupply);
        _require(invariantRatio >= _MIN_INVARIANT_RATIO, Errors.MIN_BPT_IN_FOR_TOKEN_OUT);

        // Calculate by how much the token balance has to decrease to match invariantRatio
        uint256 balanceRatio = invariantRatio.powUp(FixedPoint.ONE.divDown(normalizedWeight));

        // Because of rounding up, balanceRatio can be greater than one. Using complement prevents reverts.
        uint256 amountOutWithoutFee = balance.mulDown(balanceRatio.complement());

        // We can now compute how much excess balance is being withdrawn as a result of the virtual swaps, which result
        // in swap fees.
        uint256 taxablePercentage = normalizedWeight.complement();

        // Swap fees are typically charged on 'token in', but there is no 'token in' here, so we apply it
        // to 'token out'. This results in slightly larger price impact. Fees are rounded up.
        uint256 taxableAmount = amountOutWithoutFee.mulUp(taxablePercentage);
        uint256 nonTaxableAmount = amountOutWithoutFee.sub(taxableAmount);

        return nonTaxableAmount.add(taxableAmount.mulDown(swapFee.complement()));
    }

    function _calcTokensOutGivenExactBptIn(
        uint256[] memory balances,
        uint256 bptAmountIn,
        uint256 totalBPT
    ) internal pure returns (uint256[] memory) {
        /**********************************************************************************************
        // exactBPTInForTokensOut                                                                    //
        // (per token)                                                                               //
        // aO = amountOut                  /        bptIn         \                                  //
        // b = balance           a0 = b * | ---------------------  |                                 //
        // bptIn = bptAmountIn             \       totalBPT       /                                  //
        // bpt = totalBPT                                                                            //
        **********************************************************************************************/

        // Since we're computing an amount out, we round down overall. This means rounding down on both the
        // multiplication and division.

        uint256 bptRatio = bptAmountIn.divDown(totalBPT);

        uint256[] memory amountsOut = new uint256[](balances.length);
        for (uint256 i = 0; i < balances.length; i++) {
            amountsOut[i] = balances[i].mulDown(bptRatio);
        }

        return amountsOut;
    }

    function _calcDueTokenProtocolSwapFeeAmount(
        uint256 balance,
        uint256 normalizedWeight,
        uint256 previousInvariant,
        uint256 currentInvariant,
        uint256 protocolSwapFeePercentage
    ) internal pure returns (uint256) {
        /*********************************************************************************
        /*  protocolSwapFeePercentage * balanceToken * ( 1 - (previousInvariant / currentInvariant) ^ (1 / weightToken))
        *********************************************************************************/

        if (currentInvariant <= previousInvariant) {
            // This shouldn't happen outside of rounding errors, but have this safeguard nonetheless to prevent the Pool
            // from entering a locked state in which joins and exits revert while computing accumulated swap fees.
            return 0;
        }

        // We round down to prevent issues in the Pool's accounting, even if it means paying slightly less in protocol
        // fees to the Vault.

        // Fee percentage and balance multiplications round down, while the subtrahend (power) rounds up (as does the
        // base). Because previousInvariant / currentInvariant <= 1, the exponent rounds down.

        uint256 base = previousInvariant.divUp(currentInvariant);
        uint256 exponent = FixedPoint.ONE.divDown(normalizedWeight);

        // Because the exponent is larger than one, the base of the power function has a lower bound. We cap to this
        // value to avoid numeric issues, which means in the extreme case (where the invariant growth is larger than
        // 1 / min exponent) the Pool will pay less in protocol fees than it should.
        base = Math.max(base, FixedPoint.MIN_POW_BASE_FREE_EXPONENT);

        uint256 power = base.powUp(exponent);

        uint256 tokenAccruedFees = balance.mulDown(power.complement());
        return tokenAccruedFees.mulDown(protocolSwapFeePercentage);
    }
}

// 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";

import "./WeightedPool.sol";

library WeightedPoolUserDataHelpers {
    function joinKind(bytes memory self) internal pure returns (WeightedPool.JoinKind) {
        return abi.decode(self, (WeightedPool.JoinKind));
    }

    function exitKind(bytes memory self) internal pure returns (WeightedPool.ExitKind) {
        return abi.decode(self, (WeightedPool.ExitKind));
    }

    // Joins

    function initialAmountsIn(bytes memory self) internal pure returns (uint256[] memory amountsIn) {
        (, amountsIn) = abi.decode(self, (WeightedPool.JoinKind, uint256[]));
    }

    function exactTokensInForBptOut(bytes memory self)
        internal
        pure
        returns (uint256[] memory amountsIn, uint256 minBPTAmountOut)
    {
        (, amountsIn, minBPTAmountOut) = abi.decode(self, (WeightedPool.JoinKind, uint256[], uint256));
    }

    function tokenInForExactBptOut(bytes memory self) internal pure returns (uint256 bptAmountOut, uint256 tokenIndex) {
        (, bptAmountOut, tokenIndex) = abi.decode(self, (WeightedPool.JoinKind, uint256, uint256));
    }

    // Exits

    function exactBptInForTokenOut(bytes memory self) internal pure returns (uint256 bptAmountIn, uint256 tokenIndex) {
        (, bptAmountIn, tokenIndex) = abi.decode(self, (WeightedPool.ExitKind, uint256, uint256));
    }

    function exactBptInForTokensOut(bytes memory self) internal pure returns (uint256 bptAmountIn) {
        (, bptAmountIn) = abi.decode(self, (WeightedPool.ExitKind, uint256));
    }

    function bptInForExactTokensOut(bytes memory self)
        internal
        pure
        returns (uint256[] memory amountsOut, uint256 maxBPTAmountIn)
    {
        (, amountsOut, maxBPTAmountIn) = abi.decode(self, (WeightedPool.ExitKind, uint256[], 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 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: 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/InputHelpers.sol";
import "../lib/helpers/TemporarilyPausable.sol";
import "../lib/openzeppelin/ERC20.sol";

import "./BalancerPoolToken.sol";
import "./BasePoolAuthorization.sol";
import "../vault/interfaces/IVault.sol";
import "../vault/interfaces/IBasePool.sol";

// This contract relies on tons of immutable state variables to perform efficient lookup, without resorting to storage
// reads. Because immutable arrays are not supported, we instead declare a fixed set of state variables plus a total
// count, resulting in a large number of state variables.

// solhint-disable max-states-count

/**
 * @dev Reference implementation for the base layer of a Pool contract that manages a single Pool with an immutable set
 * of registered tokens, no Asset Managers, an admin-controlled swap fee percentage, and an emergency pause mechanism.
 *
 * Note that neither swap fees nor the pause mechanism are used by this contract. They are passed through so that
 * derived contracts can use them via the `_addSwapFeeAmount` and `_subtractSwapFeeAmount` functions, and the
 * `whenNotPaused` modifier.
 *
 * No admin permissions are checked here: instead, this contract delegates that to the Vault's own Authorizer.
 *
 * Because this contract doesn't implement the swap hooks, derived contracts should generally inherit from
 * BaseGeneralPool or BaseMinimalSwapInfoPool. Otherwise, subclasses must inherit from the corresponding interfaces
 * and implement the swap callbacks themselves.
 */
abstract contract BasePool is IBasePool, BasePoolAuthorization, BalancerPoolToken, TemporarilyPausable {
    using FixedPoint for uint256;

    uint256 private constant _MIN_TOKENS = 2;
    uint256 private constant _MAX_TOKENS = 8;

    // 1e18 corresponds to 1.0, or a 100% fee
    uint256 private constant _MIN_SWAP_FEE_PERCENTAGE = 1e12; // 0.0001%
    uint256 private constant _MAX_SWAP_FEE_PERCENTAGE = 1e17; // 10%

    uint256 private constant _MINIMUM_BPT = 1e6;

    uint256 internal _swapFeePercentage;

    IVault private immutable _vault;
    bytes32 private immutable _poolId;
    uint256 private immutable _totalTokens;

    IERC20 internal immutable _token0;
    IERC20 internal immutable _token1;
    IERC20 internal immutable _token2;
    IERC20 internal immutable _token3;
    IERC20 internal immutable _token4;
    IERC20 internal immutable _token5;
    IERC20 internal immutable _token6;
    IERC20 internal immutable _token7;

    // All token balances are normalized to behave as if the token had 18 decimals. We assume a token's decimals will
    // not change throughout its lifetime, and store the corresponding scaling factor for each at construction time.
    // These factors are always greater than or equal to one: tokens with more than 18 decimals are not supported.

    uint256 internal immutable _scalingFactor0;
    uint256 internal immutable _scalingFactor1;
    uint256 internal immutable _scalingFactor2;
    uint256 internal immutable _scalingFactor3;
    uint256 internal immutable _scalingFactor4;
    uint256 internal immutable _scalingFactor5;
    uint256 internal immutable _scalingFactor6;
    uint256 internal immutable _scalingFactor7;

    event SwapFeePercentageChanged(uint256 swapFeePercentage);

    constructor(
        IVault vault,
        IVault.PoolSpecialization specialization,
        string memory name,
        string memory symbol,
        IERC20[] memory tokens,
        uint256 swapFeePercentage,
        uint256 pauseWindowDuration,
        uint256 bufferPeriodDuration,
        address owner
    )
        // Base Pools are expected to be deployed using factories. By using the factory address as the action
        // disambiguator, we make all Pools deployed by the same factory share action identifiers. This allows for
        // simpler management of permissions (such as being able to manage granting the 'set fee percentage' action in
        // any Pool created by the same factory), while still making action identifiers unique among different factories
        // if the selectors match, preventing accidental errors.
        Authentication(bytes32(uint256(msg.sender)))
        BalancerPoolToken(name, symbol)
        BasePoolAuthorization(owner)
        TemporarilyPausable(pauseWindowDuration, bufferPeriodDuration)
    {
        _require(tokens.length >= _MIN_TOKENS, Errors.MIN_TOKENS);
        _require(tokens.length <= _MAX_TOKENS, Errors.MAX_TOKENS);

        // The Vault only requires the token list to be ordered for the Two Token Pools specialization. However,
        // to make the developer experience consistent, we are requiring this condition for all the native pools.
        // Also, since these Pools will register tokens only once, we can ensure the Pool tokens will follow the same
        // order. We rely on this property to make Pools simpler to write, as it lets us assume that the
        // order of token-specific parameters (such as token weights) will not change.
        InputHelpers.ensureArrayIsSorted(tokens);

        _setSwapFeePercentage(swapFeePercentage);

        bytes32 poolId = vault.registerPool(specialization);

        // Pass in zero addresses for Asset Managers
        vault.registerTokens(poolId, tokens, new address[](tokens.length));

        // Set immutable state variables - these cannot be read from during construction
        _vault = vault;
        _poolId = poolId;
        _totalTokens = tokens.length;

        // Immutable variables cannot be initialized inside an if statement, so we must do conditional assignments
        _token0 = tokens.length > 0 ? tokens[0] : IERC20(0);
        _token1 = tokens.length > 1 ? tokens[1] : IERC20(0);
        _token2 = tokens.length > 2 ? tokens[2] : IERC20(0);
        _token3 = tokens.length > 3 ? tokens[3] : IERC20(0);
        _token4 = tokens.length > 4 ? tokens[4] : IERC20(0);
        _token5 = tokens.length > 5 ? tokens[5] : IERC20(0);
        _token6 = tokens.length > 6 ? tokens[6] : IERC20(0);
        _token7 = tokens.length > 7 ? tokens[7] : IERC20(0);

        _scalingFactor0 = tokens.length > 0 ? _computeScalingFactor(tokens[0]) : 0;
        _scalingFactor1 = tokens.length > 1 ? _computeScalingFactor(tokens[1]) : 0;
        _scalingFactor2 = tokens.length > 2 ? _computeScalingFactor(tokens[2]) : 0;
        _scalingFactor3 = tokens.length > 3 ? _computeScalingFactor(tokens[3]) : 0;
        _scalingFactor4 = tokens.length > 4 ? _computeScalingFactor(tokens[4]) : 0;
        _scalingFactor5 = tokens.length > 5 ? _computeScalingFactor(tokens[5]) : 0;
        _scalingFactor6 = tokens.length > 6 ? _computeScalingFactor(tokens[6]) : 0;
        _scalingFactor7 = tokens.length > 7 ? _computeScalingFactor(tokens[7]) : 0;
    }

    // Getters / Setters

    function getVault() public view returns (IVault) {
        return _vault;
    }

    function getPoolId() public view returns (bytes32) {
        return _poolId;
    }

    function _getTotalTokens() internal view returns (uint256) {
        return _totalTokens;
    }

    function getSwapFeePercentage() external view returns (uint256) {
        return _swapFeePercentage;
    }

    // Caller must be approved by the Vault's Authorizer
    function setSwapFeePercentage(uint256 swapFeePercentage) external virtual authenticate whenNotPaused {
        _setSwapFeePercentage(swapFeePercentage);
    }

    function _setSwapFeePercentage(uint256 swapFeePercentage) private {
        _require(swapFeePercentage >= _MIN_SWAP_FEE_PERCENTAGE, Errors.MIN_SWAP_FEE_PERCENTAGE);
        _require(swapFeePercentage <= _MAX_SWAP_FEE_PERCENTAGE, Errors.MAX_SWAP_FEE_PERCENTAGE);

        _swapFeePercentage = swapFeePercentage;
        emit SwapFeePercentageChanged(swapFeePercentage);
    }

    // Caller must be approved by the Vault's Authorizer
    function setPaused(bool paused) external authenticate {
        _setPaused(paused);
    }

    // Join / Exit Hooks

    modifier onlyVault(bytes32 poolId) {
        _require(msg.sender == address(getVault()), Errors.CALLER_NOT_VAULT);
        _require(poolId == getPoolId(), Errors.INVALID_POOL_ID);
        _;
    }

    function onJoinPool(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    ) external virtual override onlyVault(poolId) returns (uint256[] memory, uint256[] memory) {
        uint256[] memory scalingFactors = _scalingFactors();

        if (totalSupply() == 0) {
            (uint256 bptAmountOut, uint256[] memory amountsIn) = _onInitializePool(poolId, sender, recipient, userData);

            // On initialization, we lock _MINIMUM_BPT by minting it for the zero address. This BPT acts as a minimum
            // as it will never be burned, which reduces potential issues with rounding, and also prevents the Pool from
            // ever being fully drained.
            _require(bptAmountOut >= _MINIMUM_BPT, Errors.MINIMUM_BPT);
            _mintPoolTokens(address(0), _MINIMUM_BPT);
            _mintPoolTokens(recipient, bptAmountOut - _MINIMUM_BPT);

            // amountsIn are amounts entering the Pool, so we round up.
            _downscaleUpArray(amountsIn, scalingFactors);

            return (amountsIn, new uint256[](_getTotalTokens()));
        } else {
            _upscaleArray(balances, scalingFactors);
            (uint256 bptAmountOut, uint256[] memory amountsIn, uint256[] memory dueProtocolFeeAmounts) = _onJoinPool(
                poolId,
                sender,
                recipient,
                balances,
                lastChangeBlock,
                protocolSwapFeePercentage,
                userData
            );

            // Note we no longer use `balances` after calling `_onJoinPool`, which may mutate it.

            _mintPoolTokens(recipient, bptAmountOut);

            // amountsIn are amounts entering the Pool, so we round up.
            _downscaleUpArray(amountsIn, scalingFactors);
            // dueProtocolFeeAmounts are amounts exiting the Pool, so we round down.
            _downscaleDownArray(dueProtocolFeeAmounts, scalingFactors);

            return (amountsIn, dueProtocolFeeAmounts);
        }
    }

    function onExitPool(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    ) external virtual override onlyVault(poolId) returns (uint256[] memory, uint256[] memory) {
        uint256[] memory scalingFactors = _scalingFactors();
        _upscaleArray(balances, scalingFactors);

        (uint256 bptAmountIn, uint256[] memory amountsOut, uint256[] memory dueProtocolFeeAmounts) = _onExitPool(
            poolId,
            sender,
            recipient,
            balances,
            lastChangeBlock,
            protocolSwapFeePercentage,
            userData
        );

        // Note we no longer use `balances` after calling `_onExitPool`, which may mutate it.

        _burnPoolTokens(sender, bptAmountIn);

        // Both amountsOut and dueProtocolFeeAmounts are amounts exiting the Pool, so we round down.
        _downscaleDownArray(amountsOut, scalingFactors);
        _downscaleDownArray(dueProtocolFeeAmounts, scalingFactors);

        return (amountsOut, dueProtocolFeeAmounts);
    }

    // Query functions

    /**
     * @dev Returns the amount of BPT that would be granted to `recipient` if the `onJoinPool` hook were called by the
     * Vault with the same arguments, along with the number of tokens `sender` would have to supply.
     *
     * This function is not meant to be called directly, but rather from a helper contract that fetches current Vault
     * data, such as the protocol swap fee percentage and Pool balances.
     *
     * Like `IVault.queryBatchSwap`, this function is not view due to internal implementation details: the caller must
     * explicitly use eth_call instead of eth_sendTransaction.
     */
    function queryJoin(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    ) external returns (uint256 bptOut, uint256[] memory amountsIn) {
        InputHelpers.ensureInputLengthMatch(balances.length, _getTotalTokens());

        _queryAction(
            poolId,
            sender,
            recipient,
            balances,
            lastChangeBlock,
            protocolSwapFeePercentage,
            userData,
            _onJoinPool,
            _downscaleUpArray
        );

        // The `return` opcode is executed directly inside `_queryAction`, so execution never reaches this statement,
        // and we don't need to return anything here - it just silences compiler warnings.
        return (bptOut, amountsIn);
    }

    /**
     * @dev Returns the amount of BPT that would be burned from `sender` if the `onExitPool` hook were called by the
     * Vault with the same arguments, along with the number of tokens `recipient` would receive.
     *
     * This function is not meant to be called directly, but rather from a helper contract that fetches current Vault
     * data, such as the protocol swap fee percentage and Pool balances.
     *
     * Like `IVault.queryBatchSwap`, this function is not view due to internal implementation details: the caller must
     * explicitly use eth_call instead of eth_sendTransaction.
     */
    function queryExit(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    ) external returns (uint256 bptIn, uint256[] memory amountsOut) {
        InputHelpers.ensureInputLengthMatch(balances.length, _getTotalTokens());

        _queryAction(
            poolId,
            sender,
            recipient,
            balances,
            lastChangeBlock,
            protocolSwapFeePercentage,
            userData,
            _onExitPool,
            _downscaleDownArray
        );

        // The `return` opcode is executed directly inside `_queryAction`, so execution never reaches this statement,
        // and we don't need to return anything here - it just silences compiler warnings.
        return (bptIn, amountsOut);
    }

    // Internal hooks to be overridden by derived contracts - all token amounts (except BPT) in these interfaces are
    // upscaled.

    /**
     * @dev Called when the Pool is joined for the first time; that is, when the BPT total supply is zero.
     *
     * Returns the amount of BPT to mint, and the token amounts the Pool will receive in return.
     *
     * Minted BPT will be sent to `recipient`, except for _MINIMUM_BPT, which will be deducted from this amount and sent
     * to the zero address instead. This will cause that BPT to remain forever locked there, preventing total BTP from
     * ever dropping below that value, and ensuring `_onInitializePool` can only be called once in the entire Pool's
     * lifetime.
     *
     * The tokens granted to the Pool will be transferred from `sender`. These amounts are considered upscaled and will
     * be downscaled (rounding up) before being returned to the Vault.
     */
    function _onInitializePool(
        bytes32 poolId,
        address sender,
        address recipient,
        bytes memory userData
    ) internal virtual returns (uint256 bptAmountOut, uint256[] memory amountsIn);

    /**
     * @dev Called whenever the Pool is joined after the first initialization join (see `_onInitializePool`).
     *
     * Returns the amount of BPT to mint, the token amounts that the Pool will receive in return, and the number of
     * tokens to pay in protocol swap fees.
     *
     * Implementations of this function might choose to mutate the `balances` array to save gas (e.g. when
     * performing intermediate calculations, such as subtraction of due protocol fees). This can be done safely.
     *
     * Minted BPT will be sent to `recipient`.
     *
     * The tokens granted to the Pool will be transferred from `sender`. These amounts are considered upscaled and will
     * be downscaled (rounding up) before being returned to the Vault.
     *
     * Due protocol swap fees will be taken from the Pool's balance in the Vault (see `IBasePool.onJoinPool`). These
     * amounts are considered upscaled and will be downscaled (rounding down) before being returned to the Vault.
     */
    function _onJoinPool(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    )
        internal
        virtual
        returns (
            uint256 bptAmountOut,
            uint256[] memory amountsIn,
            uint256[] memory dueProtocolFeeAmounts
        );

    /**
     * @dev Called whenever the Pool is exited.
     *
     * Returns the amount of BPT to burn, the token amounts for each Pool token that the Pool will grant in return, and
     * the number of tokens to pay in protocol swap fees.
     *
     * Implementations of this function might choose to mutate the `balances` array to save gas (e.g. when
     * performing intermediate calculations, such as subtraction of due protocol fees). This can be done safely.
     *
     * BPT will be burnt from `sender`.
     *
     * The Pool will grant tokens to `recipient`. These amounts are considered upscaled and will be downscaled
     * (rounding down) before being returned to the Vault.
     *
     * Due protocol swap fees will be taken from the Pool's balance in the Vault (see `IBasePool.onExitPool`). These
     * amounts are considered upscaled and will be downscaled (rounding down) before being returned to the Vault.
     */
    function _onExitPool(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    )
        internal
        virtual
        returns (
            uint256 bptAmountIn,
            uint256[] memory amountsOut,
            uint256[] memory dueProtocolFeeAmounts
        );

    // Internal functions

    /**
     * @dev Adds swap fee amount to `amount`, returning a higher value.
     */
    function _addSwapFeeAmount(uint256 amount) internal view returns (uint256) {
        // This returns amount + fee amount, so we round up (favoring a higher fee amount).
        return amount.divUp(_swapFeePercentage.complement());
    }

    /**
     * @dev Subtracts swap fee amount from `amount`, returning a lower value.
     */
    function _subtractSwapFeeAmount(uint256 amount) internal view returns (uint256) {
        // This returns amount - fee amount, so we round up (favoring a higher fee amount).
        uint256 feeAmount = amount.mulUp(_swapFeePercentage);
        return amount.sub(feeAmount);
    }

    // Scaling

    /**
     * @dev Returns a scaling factor that, when multiplied to a token amount for `token`, normalizes its balance as if
     * it had 18 decimals.
     */
    function _computeScalingFactor(IERC20 token) private view returns (uint256) {
        // Tokens that don't implement the `decimals` method are not supported.
        uint256 tokenDecimals = ERC20(address(token)).decimals();

        // Tokens with more than 18 decimals are not supported.
        uint256 decimalsDifference = Math.sub(18, tokenDecimals);
        return 10**decimalsDifference;
    }

    /**
     * @dev Returns the scaling factor for one of the Pool's tokens. Reverts if `token` is not a token registered by the
     * Pool.
     */
    function _scalingFactor(IERC20 token) internal view returns (uint256) {
        // prettier-ignore
        if (token == _token0) { return _scalingFactor0; }
        else if (token == _token1) { return _scalingFactor1; }
        else if (token == _token2) { return _scalingFactor2; }
        else if (token == _token3) { return _scalingFactor3; }
        else if (token == _token4) { return _scalingFactor4; }
        else if (token == _token5) { return _scalingFactor5; }
        else if (token == _token6) { return _scalingFactor6; }
        else if (token == _token7) { return _scalingFactor7; }
        else {
            _revert(Errors.INVALID_TOKEN);
        }
    }

    /**
     * @dev Returns all the scaling factors in the same order as the registered tokens. The Vault will always
     * pass balances in this order when calling any of the Pool hooks
     */
    function _scalingFactors() internal view returns (uint256[] memory) {
        uint256 totalTokens = _getTotalTokens();
        uint256[] memory scalingFactors = new uint256[](totalTokens);

        // prettier-ignore
        {
            if (totalTokens > 0) { scalingFactors[0] = _scalingFactor0; } else { return scalingFactors; }
            if (totalTokens > 1) { scalingFactors[1] = _scalingFactor1; } else { return scalingFactors; }
            if (totalTokens > 2) { scalingFactors[2] = _scalingFactor2; } else { return scalingFactors; }
            if (totalTokens > 3) { scalingFactors[3] = _scalingFactor3; } else { return scalingFactors; }
            if (totalTokens > 4) { scalingFactors[4] = _scalingFactor4; } else { return scalingFactors; }
            if (totalTokens > 5) { scalingFactors[5] = _scalingFactor5; } else { return scalingFactors; }
            if (totalTokens > 6) { scalingFactors[6] = _scalingFactor6; } else { return scalingFactors; }
            if (totalTokens > 7) { scalingFactors[7] = _scalingFactor7; } else { return scalingFactors; }
        }

        return scalingFactors;
    }

    /**
     * @dev Applies `scalingFactor` to `amount`, resulting in a larger or equal value depending on whether it needed
     * scaling or not.
     */
    function _upscale(uint256 amount, uint256 scalingFactor) internal pure returns (uint256) {
        return Math.mul(amount, scalingFactor);
    }

    /**
     * @dev Same as `_upscale`, but for an entire array. This function does not return anything, but instead *mutates*
     * the `amounts` array.
     */
    function _upscaleArray(uint256[] memory amounts, uint256[] memory scalingFactors) internal view {
        for (uint256 i = 0; i < _getTotalTokens(); ++i) {
            amounts[i] = Math.mul(amounts[i], scalingFactors[i]);
        }
    }

    /**
     * @dev Reverses the `scalingFactor` applied to `amount`, resulting in a smaller or equal value depending on
     * whether it needed scaling or not. The result is rounded down.
     */
    function _downscaleDown(uint256 amount, uint256 scalingFactor) internal pure returns (uint256) {
        return Math.divDown(amount, scalingFactor);
    }

    /**
     * @dev Same as `_downscaleDown`, but for an entire array. This function does not return anything, but instead
     * *mutates* the `amounts` array.
     */
    function _downscaleDownArray(uint256[] memory amounts, uint256[] memory scalingFactors) internal view {
        for (uint256 i = 0; i < _getTotalTokens(); ++i) {
            amounts[i] = Math.divDown(amounts[i], scalingFactors[i]);
        }
    }

    /**
     * @dev Reverses the `scalingFactor` applied to `amount`, resulting in a smaller or equal value depending on
     * whether it needed scaling or not. The result is rounded up.
     */
    function _downscaleUp(uint256 amount, uint256 scalingFactor) internal pure returns (uint256) {
        return Math.divUp(amount, scalingFactor);
    }

    /**
     * @dev Same as `_downscaleUp`, but for an entire array. This function does not return anything, but instead
     * *mutates* the `amounts` array.
     */
    function _downscaleUpArray(uint256[] memory amounts, uint256[] memory scalingFactors) internal view {
        for (uint256 i = 0; i < _getTotalTokens(); ++i) {
            amounts[i] = Math.divUp(amounts[i], scalingFactors[i]);
        }
    }

    function _getAuthorizer() internal view override returns (IAuthorizer) {
        // Access control management is delegated to the Vault's Authorizer. This lets Balancer Governance manage which
        // accounts can call permissioned functions: for example, to perform emergency pauses.
        // If the owner is delegated, then *all* permissioned functions, including `setSwapFeePercentage`, will be under
        // Governance control.
        return getVault().getAuthorizer();
    }

    function _queryAction(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData,
        function(bytes32, address, address, uint256[] memory, uint256, uint256, bytes memory)
            internal
            returns (uint256, uint256[] memory, uint256[] memory) _action,
        function(uint256[] memory, uint256[] memory) internal view _downscaleArray
    ) private {
        // This uses the same technique used by the Vault in queryBatchSwap. Refer to that function for a detailed
        // explanation.

        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 bpt and token amounts 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, 0x43adbafb00000000000000000000000000000000000000000000000000000000), 0) {
                            returndatacopy(0, 0, returndatasize())
                            revert(0, returndatasize())
                        }

                        // The returndata contains the signature, followed by the raw memory representation of the
                        // `bptAmount` and `tokenAmounts` (array: length + data). We need to return an ABI-encoded
                        // representation of these.
                        // An ABI-encoded response will include one additional field to indicate the starting offset of
                        // the `tokenAmounts` array. The `bptAmount` will be laid out in the first word of the
                        // returndata.
                        //
                        // In returndata:
                        // [ signature ][ bptAmount ][ tokenAmounts length ][ tokenAmounts values ]
                        // [  4 bytes  ][  32 bytes ][       32 bytes      ][ (32 * length) bytes ]
                        //
                        // We now need to return (ABI-encoded values):
                        // [ bptAmount ][ tokeAmounts offset ][ tokenAmounts length ][ tokenAmounts values ]
                        // [  32 bytes ][       32 bytes     ][       32 bytes      ][ (32 * length) bytes ]

                        // We copy 32 bytes for the `bptAmount` from returndata into memory.
                        // Note that we skip the first 4 bytes for the error signature
                        returndatacopy(0, 0x04, 32)

                        // The offsets are 32-bytes long, so the array of `tokenAmounts` will start after
                        // the initial 64 bytes.
                        mstore(0x20, 64)

                        // We now copy the raw memory array for the `tokenAmounts` from returndata into memory.
                        // Since bpt amount and offset take up 64 bytes, we start copying at address 0x40. We also
                        // skip the first 36 bytes from returndata, which correspond to the signature plus bpt amount.
                        returndatacopy(0x40, 0x24, sub(returndatasize(), 36))

                        // We finally return the ABI-encoded uint256 and the array, which has a total length equal to
                        // the size of returndata, plus the 32 bytes of the offset but without the 4 bytes of the
                        // error signature.
                        return(0, add(returndatasize(), 28))
                    }
                    default {
                        // This call should always revert, but we fail nonetheless if that didn't happen
                        invalid()
                    }
            }
        } else {
            uint256[] memory scalingFactors = _scalingFactors();
            _upscaleArray(balances, scalingFactors);

            (uint256 bptAmount, uint256[] memory tokenAmounts, ) = _action(
                poolId,
                sender,
                recipient,
                balances,
                lastChangeBlock,
                protocolSwapFeePercentage,
                userData
            );

            _downscaleArray(tokenAmounts, scalingFactors);

            // solhint-disable-next-line no-inline-assembly
            assembly {
                // We will return a raw representation of `bptAmount` and `tokenAmounts` in memory, which is composed of
                // a 32-byte uint256, followed by a 32-byte for the array length, and finally the 32-byte uint256 values
                // Because revert expects a size in bytes, we multiply the array length (stored at `tokenAmounts`) by 32
                let size := mul(mload(tokenAmounts), 32)

                // We store the `bptAmount` in the previous slot to the `tokenAmounts` array. We can make sure 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.
                let start := sub(tokenAmounts, 0x20)
                mstore(start, bptAmount)

                // We send one extra value for the error signature "QueryError(uint256,uint256[])" which is 0x43adbafb
                // We use the previous slot to `bptAmount`.
                mstore(sub(start, 0x20), 0x0000000000000000000000000000000000000000000000000000000043adbafb)
                start := sub(start, 0x04)

                // When copying from `tokenAmounts` into returndata, we copy the additional 68 bytes to also return
                // the `bptAmount`, the array 's length, and the error signature.
                revert(start, add(size, 68))
            }
        }
    }
}

// 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 "./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: MIT

pragma solidity ^0.7.0;

import "../helpers/BalancerErrors.sol";

import "./IERC20.sol";
import "./SafeMath.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 guidelines: functions revert instead
 * of 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 IERC20 {
    using SafeMath for uint256;

    mapping(address => uint256) private _balances;

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

    uint256 private _totalSupply;

    string private _name;
    string private _symbol;
    uint8 private _decimals;

    /**
     * @dev Sets the values for {name} and {symbol}, initializes {decimals} with
     * a default value of 18.
     *
     * To select a different value for {decimals}, use {_setupDecimals}.
     *
     * All three of these values are immutable: they can only be set once during
     * construction.
     */
    constructor(string memory name_, string memory symbol_) {
        _name = name_;
        _symbol = symbol_;
        _decimals = 18;
    }

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

    /**
     * @dev Returns the symbol of the token, usually a shorter version of the
     * name.
     */
    function symbol() public view 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 {_setupDecimals} is
     * called.
     *
     * 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 returns (uint8) {
        return _decimals;
    }

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

    /**
     * @dev See {IERC20-balanceOf}.
     */
    function balanceOf(address account) public view 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(msg.sender, 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(msg.sender, 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);
        _approve(
            sender,
            msg.sender,
            _allowances[sender][msg.sender].sub(amount, Errors.ERC20_TRANSFER_EXCEEDS_ALLOWANCE)
        );
        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(msg.sender, spender, _allowances[msg.sender][spender].add(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) {
        _approve(
            msg.sender,
            spender,
            _allowances[msg.sender][spender].sub(subtractedValue, Errors.ERC20_DECREASED_ALLOWANCE_BELOW_ZERO)
        );
        return true;
    }

    /**
     * @dev Moves tokens `amount` from `sender` to `recipient`.
     *
     * This is 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), Errors.ERC20_TRANSFER_FROM_ZERO_ADDRESS);
        _require(recipient != address(0), Errors.ERC20_TRANSFER_TO_ZERO_ADDRESS);

        _beforeTokenTransfer(sender, recipient, amount);

        _balances[sender] = _balances[sender].sub(amount, Errors.ERC20_TRANSFER_EXCEEDS_BALANCE);
        _balances[recipient] = _balances[recipient].add(amount);
        emit Transfer(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:
     *
     * - `to` cannot be the zero address.
     */
    function _mint(address account, uint256 amount) internal virtual {
        _require(account != address(0), Errors.ERC20_MINT_TO_ZERO_ADDRESS);

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

        _totalSupply = _totalSupply.add(amount);
        _balances[account] = _balances[account].add(amount);
        emit Transfer(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), Errors.ERC20_BURN_FROM_ZERO_ADDRESS);

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

        _balances[account] = _balances[account].sub(amount, Errors.ERC20_BURN_EXCEEDS_ALLOWANCE);
        _totalSupply = _totalSupply.sub(amount);
        emit Transfer(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), Errors.ERC20_APPROVE_FROM_ZERO_ADDRESS);
        _require(spender != address(0), Errors.ERC20_APPROVE_TO_ZERO_ADDRESS);

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

    /**
     * @dev Sets {decimals} to a value other than the default one of 18.
     *
     * WARNING: This function should only be called from the constructor. Most
     * applications that interact with token contracts will not expect
     * {decimals} to ever change, and may work incorrectly if it does.
     */
    function _setupDecimals(uint8 decimals_) internal {
        _decimals = decimals_;
    }

    /**
     * @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 to 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 {}
}

// 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";
import "../lib/openzeppelin/IERC20.sol";
import "../lib/openzeppelin/IERC20Permit.sol";
import "../lib/openzeppelin/EIP712.sol";

/**
 * @title Highly opinionated token implementation
 * @author Balancer Labs
 * @dev
 * - Includes functions to increase and decrease allowance as a workaround
 *   for the well-known issue with `approve`:
 *   https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729
 * - Allows for 'infinite allowance', where an allowance of 0xff..ff is not
 *   decreased by calls to transferFrom
 * - Lets a token holder use `transferFrom` to send their own tokens,
 *   without first setting allowance
 * - Emits 'Approval' events whenever allowance is changed by `transferFrom`
 */
contract BalancerPoolToken is IERC20, IERC20Permit, EIP712 {
    using Math for uint256;

    // State variables

    uint8 private constant _DECIMALS = 18;

    mapping(address => uint256) private _balance;
    mapping(address => mapping(address => uint256)) private _allowance;
    uint256 private _totalSupply;

    string private _name;
    string private _symbol;

    mapping(address => uint256) private _nonces;

    // solhint-disable-next-line var-name-mixedcase
    bytes32 private immutable _PERMIT_TYPE_HASH = keccak256(
        "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
    );

    // Function declarations

    constructor(string memory tokenName, string memory tokenSymbol) EIP712(tokenName, "1") {
        _name = tokenName;
        _symbol = tokenSymbol;
    }

    // External functions

    function allowance(address owner, address spender) external view override returns (uint256) {
        return _allowance[owner][spender];
    }

    function balanceOf(address account) external view override returns (uint256) {
        return _balance[account];
    }

    function approve(address spender, uint256 amount) external override returns (bool) {
        _setAllowance(msg.sender, spender, amount);

        return true;
    }

    function increaseApproval(address spender, uint256 amount) external returns (bool) {
        _setAllowance(msg.sender, spender, _allowance[msg.sender][spender].add(amount));

        return true;
    }

    function decreaseApproval(address spender, uint256 amount) external returns (bool) {
        uint256 currentAllowance = _allowance[msg.sender][spender];

        if (amount >= currentAllowance) {
            _setAllowance(msg.sender, spender, 0);
        } else {
            _setAllowance(msg.sender, spender, currentAllowance.sub(amount));
        }

        return true;
    }

    function transfer(address recipient, uint256 amount) external override returns (bool) {
        _move(msg.sender, recipient, amount);

        return true;
    }

    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) external override returns (bool) {
        uint256 currentAllowance = _allowance[sender][msg.sender];
        _require(msg.sender == sender || currentAllowance >= amount, Errors.INSUFFICIENT_ALLOWANCE);

        _move(sender, recipient, amount);

        if (msg.sender != sender && currentAllowance != uint256(-1)) {
            // Because of the previous require, we know that if msg.sender != sender then currentAllowance >= amount
            _setAllowance(sender, msg.sender, currentAllowance - amount);
        }

        return true;
    }

    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual override {
        // solhint-disable-next-line not-rely-on-time
        _require(block.timestamp <= deadline, Errors.EXPIRED_PERMIT);

        uint256 nonce = _nonces[owner];

        bytes32 structHash = keccak256(abi.encode(_PERMIT_TYPE_HASH, owner, spender, value, nonce, deadline));

        bytes32 hash = _hashTypedDataV4(structHash);

        address signer = ecrecover(hash, v, r, s);
        _require((signer != address(0)) && (signer == owner), Errors.INVALID_SIGNATURE);

        _nonces[owner] = nonce + 1;
        _setAllowance(owner, spender, value);
    }

    // Public functions

    function name() public view returns (string memory) {
        return _name;
    }

    function symbol() public view returns (string memory) {
        return _symbol;
    }

    function decimals() public pure returns (uint8) {
        return _DECIMALS;
    }

    function totalSupply() public view override returns (uint256) {
        return _totalSupply;
    }

    function nonces(address owner) external view override returns (uint256) {
        return _nonces[owner];
    }

    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view override returns (bytes32) {
        return _domainSeparatorV4();
    }

    // Internal functions

    function _mintPoolTokens(address recipient, uint256 amount) internal {
        _balance[recipient] = _balance[recipient].add(amount);
        _totalSupply = _totalSupply.add(amount);
        emit Transfer(address(0), recipient, amount);
    }

    function _burnPoolTokens(address sender, uint256 amount) internal {
        uint256 currentBalance = _balance[sender];
        _require(currentBalance >= amount, Errors.INSUFFICIENT_BALANCE);

        _balance[sender] = currentBalance - amount;
        _totalSupply = _totalSupply.sub(amount);
        emit Transfer(sender, address(0), amount);
    }

    function _move(
        address sender,
        address recipient,
        uint256 amount
    ) internal {
        uint256 currentBalance = _balance[sender];
        _require(currentBalance >= amount, Errors.INSUFFICIENT_BALANCE);
        // Prohibit transfers to the zero address to avoid confusion with the
        // Transfer event emitted by `_burnPoolTokens`
        _require(recipient != address(0), Errors.ERC20_TRANSFER_TO_ZERO_ADDRESS);

        _balance[sender] = currentBalance - amount;
        _balance[recipient] = _balance[recipient].add(amount);

        emit Transfer(sender, recipient, amount);
    }

    // Private functions

    function _setAllowance(
        address owner,
        address spender,
        uint256 amount
    ) private {
        _allowance[owner][spender] = amount;
        emit Approval(owner, spender, 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/helpers/Authentication.sol";
import "../vault/interfaces/IAuthorizer.sol";

import "./BasePool.sol";

/**
 * @dev Base authorization layer implementation for Pools.
 *
 * The owner account can call some of the permissioned functions - access control of the rest is delegated to the
 * Authorizer. Note that this owner is immutable: more sophisticated permission schemes, such as multiple ownership,
 * granular roles, etc., could be built on top of this by making the owner a smart contract.
 *
 * Access control of all other permissioned functions is delegated to an Authorizer. It is also possible to delegate
 * control of *all* permissioned functions to the Authorizer by setting the owner address to `_DELEGATE_OWNER`.
 */
abstract contract BasePoolAuthorization is Authentication {
    address private immutable _owner;

    address private constant _DELEGATE_OWNER = 0xBA1BA1ba1BA1bA1bA1Ba1BA1ba1BA1bA1ba1ba1B;

    constructor(address owner) {
        _owner = owner;
    }

    function getOwner() public view returns (address) {
        return _owner;
    }

    function getAuthorizer() external view returns (IAuthorizer) {
        return _getAuthorizer();
    }

    function _canPerform(bytes32 actionId, address account) internal view override returns (bool) {
        if ((getOwner() != _DELEGATE_OWNER) && _isOwnerOnlyAction(actionId)) {
            // Only the owner can perform "owner only" actions, unless the owner is delegated.
            return msg.sender == getOwner();
        } else {
            // Non-owner actions are always processed via the Authorizer, as "owner only" ones are when delegated.
            return _getAuthorizer().canPerform(actionId, account, address(this));
        }
    }

    function _isOwnerOnlyAction(bytes32 actionId) private view returns (bool) {
        // This implementation hardcodes the setSwapFeePercentage action identifier.
        return actionId == getActionId(BasePool.setSwapFeePercentage.selector);
    }

    function _getAuthorizer() internal view virtual returns (IAuthorizer);
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

import "../helpers/BalancerErrors.sol";

/**
 * @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, Errors.ADD_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, Errors.SUB_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, uint256 errorCode) internal pure returns (uint256) {
        _require(b <= a, errorCode);
        uint256 c = a - b;

        return c;
    }
}

// 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;

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

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

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

// 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()
        }
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 800
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[{"internalType":"contract IVault","name":"vault","type":"address"},{"internalType":"string","name":"name","type":"string"},{"internalType":"string","name":"symbol","type":"string"},{"internalType":"contract IERC20[]","name":"tokens","type":"address[]"},{"internalType":"uint256[]","name":"normalizedWeights","type":"uint256[]"},{"internalType":"uint256","name":"swapFeePercentage","type":"uint256"},{"internalType":"uint256","name":"pauseWindowDuration","type":"uint256"},{"internalType":"uint256","name":"bufferPeriodDuration","type":"uint256"},{"internalType":"address","name":"owner","type":"address"}],"stateMutability":"nonpayable","type":"constructor"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"owner","type":"address"},{"indexed":true,"internalType":"address","name":"spender","type":"address"},{"indexed":false,"internalType":"uint256","name":"value","type":"uint256"}],"name":"Approval","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"bool","name":"paused","type":"bool"}],"name":"PausedStateChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"swapFeePercentage","type":"uint256"}],"name":"SwapFeePercentageChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"from","type":"address"},{"indexed":true,"internalType":"address","name":"to","type":"address"},{"indexed":false,"internalType":"uint256","name":"value","type":"uint256"}],"name":"Transfer","type":"event"},{"inputs":[],"name":"DOMAIN_SEPARATOR","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"spender","type":"address"}],"name":"allowance","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"approve","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"balanceOf","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"decimals","outputs":[{"internalType":"uint8","name":"","type":"uint8"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"decreaseApproval","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes4","name":"selector","type":"bytes4"}],"name":"getActionId","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getAuthorizer","outputs":[{"internalType":"contract IAuthorizer","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getInvariant","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getLastInvariant","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getNormalizedWeights","outputs":[{"internalType":"uint256[]","name":"","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getOwner","outputs":[{"internalType":"address","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getPausedState","outputs":[{"internalType":"bool","name":"paused","type":"bool"},{"internalType":"uint256","name":"pauseWindowEndTime","type":"uint256"},{"internalType":"uint256","name":"bufferPeriodEndTime","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getPoolId","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getSwapFeePercentage","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getVault","outputs":[{"internalType":"contract IVault","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"increaseApproval","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"name","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"}],"name":"nonces","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"bytes32","name":"poolId","type":"bytes32"},{"internalType":"address","name":"sender","type":"address"},{"internalType":"address","name":"recipient","type":"address"},{"internalType":"uint256[]","name":"balances","type":"uint256[]"},{"internalType":"uint256","name":"lastChangeBlock","type":"uint256"},{"internalType":"uint256","name":"protocolSwapFeePercentage","type":"uint256"},{"internalType":"bytes","name":"userData","type":"bytes"}],"name":"onExitPool","outputs":[{"internalType":"uint256[]","name":"","type":"uint256[]"},{"internalType":"uint256[]","name":"","type":"uint256[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"poolId","type":"bytes32"},{"internalType":"address","name":"sender","type":"address"},{"internalType":"address","name":"recipient","type":"address"},{"internalType":"uint256[]","name":"balances","type":"uint256[]"},{"internalType":"uint256","name":"lastChangeBlock","type":"uint256"},{"internalType":"uint256","name":"protocolSwapFeePercentage","type":"uint256"},{"internalType":"bytes","name":"userData","type":"bytes"}],"name":"onJoinPool","outputs":[{"internalType":"uint256[]","name":"","type":"uint256[]"},{"internalType":"uint256[]","name":"","type":"uint256[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"components":[{"internalType":"enum IVault.SwapKind","name":"kind","type":"uint8"},{"internalType":"contract IERC20","name":"tokenIn","type":"address"},{"internalType":"contract IERC20","name":"tokenOut","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"},{"internalType":"bytes32","name":"poolId","type":"bytes32"},{"internalType":"uint256","name":"lastChangeBlock","type":"uint256"},{"internalType":"address","name":"from","type":"address"},{"internalType":"address","name":"to","type":"address"},{"internalType":"bytes","name":"userData","type":"bytes"}],"internalType":"struct IPoolSwapStructs.SwapRequest","name":"request","type":"tuple"},{"internalType":"uint256","name":"balanceTokenIn","type":"uint256"},{"internalType":"uint256","name":"balanceTokenOut","type":"uint256"}],"name":"onSwap","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"owner","type":"address"},{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"uint256","name":"deadline","type":"uint256"},{"internalType":"uint8","name":"v","type":"uint8"},{"internalType":"bytes32","name":"r","type":"bytes32"},{"internalType":"bytes32","name":"s","type":"bytes32"}],"name":"permit","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"poolId","type":"bytes32"},{"internalType":"address","name":"sender","type":"address"},{"internalType":"address","name":"recipient","type":"address"},{"internalType":"uint256[]","name":"balances","type":"uint256[]"},{"internalType":"uint256","name":"lastChangeBlock","type":"uint256"},{"internalType":"uint256","name":"protocolSwapFeePercentage","type":"uint256"},{"internalType":"bytes","name":"userData","type":"bytes"}],"name":"queryExit","outputs":[{"internalType":"uint256","name":"bptIn","type":"uint256"},{"internalType":"uint256[]","name":"amountsOut","type":"uint256[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bytes32","name":"poolId","type":"bytes32"},{"internalType":"address","name":"sender","type":"address"},{"internalType":"address","name":"recipient","type":"address"},{"internalType":"uint256[]","name":"balances","type":"uint256[]"},{"internalType":"uint256","name":"lastChangeBlock","type":"uint256"},{"internalType":"uint256","name":"protocolSwapFeePercentage","type":"uint256"},{"internalType":"bytes","name":"userData","type":"bytes"}],"name":"queryJoin","outputs":[{"internalType":"uint256","name":"bptOut","type":"uint256"},{"internalType":"uint256[]","name":"amountsIn","type":"uint256[]"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"bool","name":"paused","type":"bool"}],"name":"setPaused","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"swapFeePercentage","type":"uint256"}],"name":"setSwapFeePercentage","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"symbol","outputs":[{"internalType":"string","name":"","type":"string"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"totalSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"recipient","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"transfer","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"address","name":"sender","type":"address"},{"internalType":"address","name":"recipient","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"transferFrom","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"}]

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

-----Decoded View---------------
Arg [0] : vault (address): 0xBA12222222228d8Ba445958a75a0704d566BF2C8
Arg [1] : name (string): 20WETH-80WNCG
Arg [2] : symbol (string): 20WETH-80WNCG
Arg [3] : tokens (address[]): 0xC02aaA39b223FE8D0A0e5C4F27eAD9083C756Cc2,0xf203Ca1769ca8e9e8FE1DA9D147DB68B6c919817
Arg [4] : normalizedWeights (uint256[]): 200000000000000000,800000000000000000
Arg [5] : swapFeePercentage (uint256): 3000000000000000
Arg [6] : pauseWindowDuration (uint256): 0
Arg [7] : bufferPeriodDuration (uint256): 0
Arg [8] : owner (address): 0xc97612D670232D28a517D8d35168b6ef36F5Ab76

-----Encoded View---------------
19 Constructor Arguments found :
Arg [0] : 000000000000000000000000ba12222222228d8ba445958a75a0704d566bf2c8
Arg [1] : 0000000000000000000000000000000000000000000000000000000000000120
Arg [2] : 0000000000000000000000000000000000000000000000000000000000000160
Arg [3] : 00000000000000000000000000000000000000000000000000000000000001a0
Arg [4] : 0000000000000000000000000000000000000000000000000000000000000200
Arg [5] : 000000000000000000000000000000000000000000000000000aa87bee538000
Arg [6] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [7] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [8] : 000000000000000000000000c97612d670232d28a517d8d35168b6ef36f5ab76
Arg [9] : 000000000000000000000000000000000000000000000000000000000000000d
Arg [10] : 3230574554482d3830574e434700000000000000000000000000000000000000
Arg [11] : 000000000000000000000000000000000000000000000000000000000000000d
Arg [12] : 3230574554482d3830574e434700000000000000000000000000000000000000
Arg [13] : 0000000000000000000000000000000000000000000000000000000000000002
Arg [14] : 000000000000000000000000c02aaa39b223fe8d0a0e5c4f27ead9083c756cc2
Arg [15] : 000000000000000000000000f203ca1769ca8e9e8fe1da9d147db68b6c919817
Arg [16] : 0000000000000000000000000000000000000000000000000000000000000002
Arg [17] : 00000000000000000000000000000000000000000000000002c68af0bb140000
Arg [18] : 0000000000000000000000000000000000000000000000000b1a2bc2ec500000