Contract Source Code (Solidity Standard Json-Input format)

IDE

• Blockscan IDE
• 🤖 Code ReaderBeta

More Options

• Similar
• 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 "@balancer-labs/v2-interfaces/contracts/pool-stable/StablePoolUserData.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/standalone-utils/IProtocolFeePercentagesProvider.sol";
import "@balancer-labs/v2-interfaces/contracts/pool-utils/IRateProvider.sol";

import "@balancer-labs/v2-solidity-utils/contracts/math/FixedPoint.sol";
import "@balancer-labs/v2-solidity-utils/contracts/math/Math.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/ERC20Helpers.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/InputHelpers.sol";

import "@balancer-labs/v2-pool-utils/contracts/BaseGeneralPool.sol";
import "@balancer-labs/v2-pool-utils/contracts/rates/PriceRateCache.sol";

import "./ComposableStablePoolStorage.sol";
import "./ComposableStablePoolRates.sol";
import "./ComposableStablePoolStorage.sol";
import "./ComposableStablePoolRates.sol";
import "./ComposableStablePoolProtocolFees.sol";
import "./StablePoolAmplification.sol";
import "./StableMath.sol";

/**
 * @dev StablePool with preminted BPT and rate providers for each token, allowing for e.g. wrapped tokens with a known
 * price ratio, such as Compound's cTokens.
 *
 * BPT is preminted on Pool initialization and registered as one of the Pool's tokens, allowing for swaps to behave as
 * single-token joins or exits (by swapping a token for BPT). We also support regular joins and exits, which can mint
 * and burn BPT.
 *
 * Preminted BPT is deposited in the Vault as the initial balance of the Pool, and doesn't belong to any entity until
 * transferred out of the Pool. The Pool's arithmetic behaves as if it didn't exist, and the BPT total supply is not
 * a useful value: we rely on the 'virtual supply' (how much BPT is actually owned outside the Vault) instead.
 */
contract ComposableStablePool is
    IRateProvider,
    BaseGeneralPool,
    StablePoolAmplification,
    ComposableStablePoolRates,
    ComposableStablePoolProtocolFees
{
    using FixedPoint for uint256;
    using PriceRateCache for bytes32;
    using StablePoolUserData for bytes;
    using BasePoolUserData for bytes;

    // The maximum imposed by the Vault, which stores balances in a packed format, is 2**(112) - 1.
    // We are preminting half of that value (rounded up).
    uint256 private constant _PREMINTED_TOKEN_BALANCE = 2**(111);

    // The constructor arguments are received in a struct to work around stack-too-deep issues
    struct NewPoolParams {
        IVault vault;
        IProtocolFeePercentagesProvider protocolFeeProvider;
        string name;
        string symbol;
        IERC20[] tokens;
        IRateProvider[] rateProviders;
        uint256[] tokenRateCacheDurations;
        bool[] exemptFromYieldProtocolFeeFlags;
        uint256 amplificationParameter;
        uint256 swapFeePercentage;
        uint256 pauseWindowDuration;
        uint256 bufferPeriodDuration;
        address owner;
    }

    constructor(NewPoolParams memory params)
        BasePool(
            params.vault,
            IVault.PoolSpecialization.GENERAL,
            params.name,
            params.symbol,
            _insertSorted(params.tokens, IERC20(this)),
            new address[](params.tokens.length + 1),
            params.swapFeePercentage,
            params.pauseWindowDuration,
            params.bufferPeriodDuration,
            params.owner
        )
        StablePoolAmplification(params.amplificationParameter)
        ComposableStablePoolStorage(_extractStorageParams(params))
        ComposableStablePoolRates(_extractRatesParams(params))
        ProtocolFeeCache(params.protocolFeeProvider, ProtocolFeeCache.DELEGATE_PROTOCOL_SWAP_FEES_SENTINEL)
    {
        // solhint-disable-previous-line no-empty-blocks
    }

    // Translate parameters to avoid stack-too-deep issues in the constructor
    function _extractRatesParams(NewPoolParams memory params)
        private
        pure
        returns (ComposableStablePoolRates.RatesParams memory)
    {
        return
            ComposableStablePoolRates.RatesParams({
                tokens: params.tokens,
                rateProviders: params.rateProviders,
                tokenRateCacheDurations: params.tokenRateCacheDurations
            });
    }

    // Translate parameters to avoid stack-too-deep issues in the constructor
    function _extractStorageParams(NewPoolParams memory params)
        private
        view
        returns (ComposableStablePoolStorage.StorageParams memory)
    {
        return
            ComposableStablePoolStorage.StorageParams({
                registeredTokens: _insertSorted(params.tokens, IERC20(this)),
                tokenRateProviders: params.rateProviders,
                exemptFromYieldProtocolFeeFlags: params.exemptFromYieldProtocolFeeFlags
            });
    }

    /**
     * @notice Return the minimum BPT balance, required to avoid minimum token balances.
     * @dev This amount is minted and immediately burned on pool initialization, so that the total supply
     * (and therefore post-exit token balances), can never be zero. This keeps the math well-behaved when
     * liquidity is low. (It also provides an easy way to check whether a pool has been initialized, to
     * ensure this is only done once.)
     */
    function getMinimumBpt() external pure returns (uint256) {
        return _getMinimumBpt();
    }

    // BasePool hook

    /**
     * @dev Override base pool hook invoked before any swap, join, or exit to ensure rates are updated before
     * the operation.
     */
    function _beforeSwapJoinExit() internal override {
        super._beforeSwapJoinExit();

        // Before the scaling factors are read, we must update the cached rates, as those will be used to compute the
        // scaling factors.
        // Note that this is not done in a recovery mode exit (since _beforeSwapjoinExit() is not called under those
        // conditions), but this is fine as recovery mode exits are unaffected by scaling factors anyway.
        _cacheTokenRatesIfNecessary();
    }

    // Swap Hooks

    /**
     * @dev Override this hook called by the base class `onSwap`, to check whether we are doing a regular swap,
     * or a swap involving BPT, which is equivalent to a single token join or exit. Since one of the Pool's
     * tokens is the preminted BPT, we need to handle swaps where BPT is involved separately.
     *
     * At this point, the balances are unscaled. The indices are coming from the Vault, so they are indices into
     * the array of registered tokens (including BPT).
     *
     * If this is a swap involving BPT, call `_swapWithBpt`, which computes the amountOut using the swapFeePercentage
     * and charges protocol fees, in the same manner as single token join/exits. Otherwise, perform the default
     * processing for a regular swap.
     */
    function _swapGivenIn(
        SwapRequest memory swapRequest,
        uint256[] memory registeredBalances,
        uint256 registeredIndexIn,
        uint256 registeredIndexOut,
        uint256[] memory scalingFactors
    ) internal virtual override returns (uint256) {
        return
            (swapRequest.tokenIn == IERC20(this) || swapRequest.tokenOut == IERC20(this))
                ? _swapWithBpt(swapRequest, registeredBalances, registeredIndexIn, registeredIndexOut, scalingFactors)
                : super._swapGivenIn(
                    swapRequest,
                    registeredBalances,
                    registeredIndexIn,
                    registeredIndexOut,
                    scalingFactors
                );
    }

    /**
     * @dev Override this hook called by the base class `onSwap`, to check whether we are doing a regular swap,
     * or a swap involving BPT, which is equivalent to a single token join or exit. Since one of the Pool's
     * tokens is the preminted BPT, we need to handle swaps where BPT is involved separately.
     *
     * At this point, the balances are unscaled. The indices and balances are coming from the Vault, so they
     * refer to the full set of registered tokens (including BPT).
     *
     * If this is a swap involving BPT, call `_swapWithBpt`, which computes the amountOut using the swapFeePercentage
     * and charges protocol fees, in the same manner as single token join/exits. Otherwise, perform the default
     * processing for a regular swap.
     */
    function _swapGivenOut(
        SwapRequest memory swapRequest,
        uint256[] memory registeredBalances,
        uint256 registeredIndexIn,
        uint256 registeredIndexOut,
        uint256[] memory scalingFactors
    ) internal virtual override returns (uint256) {
        return
            (swapRequest.tokenIn == IERC20(this) || swapRequest.tokenOut == IERC20(this))
                ? _swapWithBpt(swapRequest, registeredBalances, registeredIndexIn, registeredIndexOut, scalingFactors)
                : super._swapGivenOut(
                    swapRequest,
                    registeredBalances,
                    registeredIndexIn,
                    registeredIndexOut,
                    scalingFactors
                );
    }

    /**
     * @dev This is called from the base class `_swapGivenIn`, so at this point the amount has been adjusted
     * for swap fees, and balances have had scaling applied. This will only be called for regular (non-BPT) swaps,
     * so forward to `onRegularSwap`.
     */
    function _onSwapGivenIn(
        SwapRequest memory request,
        uint256[] memory registeredBalances,
        uint256 registeredIndexIn,
        uint256 registeredIndexOut
    ) internal virtual override returns (uint256) {
        return
            _onRegularSwap(
                true, // given in
                request.amount,
                registeredBalances,
                registeredIndexIn,
                registeredIndexOut
            );
    }

    /**
     * @dev This is called from the base class `_swapGivenOut`, so at this point the amount has been adjusted
     * for swap fees, and balances have had scaling applied. This will only be called for regular (non-BPT) swaps,
     * so forward to `onRegularSwap`.
     */
    function _onSwapGivenOut(
        SwapRequest memory request,
        uint256[] memory registeredBalances,
        uint256 registeredIndexIn,
        uint256 registeredIndexOut
    ) internal virtual override returns (uint256) {
        return
            _onRegularSwap(
                false, // given out
                request.amount,
                registeredBalances,
                registeredIndexIn,
                registeredIndexOut
            );
    }

    /**
     * @dev Perform a swap between non-BPT tokens. Scaling and fee adjustments have been performed upstream, so
     * all we need to do here is calculate the price quote, depending on the direction of the swap.
     */
    function _onRegularSwap(
        bool isGivenIn,
        uint256 amountGiven,
        uint256[] memory registeredBalances,
        uint256 registeredIndexIn,
        uint256 registeredIndexOut
    ) private view returns (uint256) {
        // Adjust indices and balances for BPT token
        uint256[] memory balances = _dropBptItem(registeredBalances);
        uint256 indexIn = _skipBptIndex(registeredIndexIn);
        uint256 indexOut = _skipBptIndex(registeredIndexOut);

        (uint256 currentAmp, ) = _getAmplificationParameter();
        uint256 invariant = StableMath._calculateInvariant(currentAmp, balances);

        if (isGivenIn) {
            return StableMath._calcOutGivenIn(currentAmp, balances, indexIn, indexOut, amountGiven, invariant);
        } else {
            return StableMath._calcInGivenOut(currentAmp, balances, indexIn, indexOut, amountGiven, invariant);
        }
    }

    /**
     * @dev Perform a swap involving the BPT token, equivalent to a single-token join or exit. As with the standard
     * joins and swaps, we first pay any protocol fees pending from swaps that occurred since the previous join or
     * exit, then perform the operation (joinSwap or exitSwap), and finally store the "post operation" invariant and
     * amp, which establishes the new basis for protocol fees.
     *
     * At this point, the scaling factors (including rates) have been computed by the base class, but not yet applied
     * to the balances.
     */
    function _swapWithBpt(
        SwapRequest memory swapRequest,
        uint256[] memory registeredBalances,
        uint256 registeredIndexIn,
        uint256 registeredIndexOut,
        uint256[] memory scalingFactors
    ) private returns (uint256) {
        bool isGivenIn = swapRequest.kind == IVault.SwapKind.GIVEN_IN;

        _upscaleArray(registeredBalances, scalingFactors);
        swapRequest.amount = _upscale(
            swapRequest.amount,
            scalingFactors[isGivenIn ? registeredIndexIn : registeredIndexOut]
        );

        (
            uint256 preJoinExitSupply,
            uint256[] memory balances,
            uint256 currentAmp,
            uint256 preJoinExitInvariant
        ) = _beforeJoinExit(registeredBalances);

        // These calls mutate `balances` so that it holds the post join-exit balances.
        (uint256 amountCalculated, uint256 postJoinExitSupply) = registeredIndexOut == getBptIndex()
            ? _doJoinSwap(
                isGivenIn,
                swapRequest.amount,
                balances,
                _skipBptIndex(registeredIndexIn),
                currentAmp,
                preJoinExitSupply,
                preJoinExitInvariant
            )
            : _doExitSwap(
                isGivenIn,
                swapRequest.amount,
                balances,
                _skipBptIndex(registeredIndexOut),
                currentAmp,
                preJoinExitSupply,
                preJoinExitInvariant
            );

        _updateInvariantAfterJoinExit(
            currentAmp,
            balances,
            preJoinExitInvariant,
            preJoinExitSupply,
            postJoinExitSupply
        );

        return
            isGivenIn
                ? _downscaleDown(amountCalculated, scalingFactors[registeredIndexOut]) // Amount out, round down
                : _downscaleUp(amountCalculated, scalingFactors[registeredIndexIn]); // Amount in, round up
    }

    /**
     * @dev This mutates `balances` so that they become the post-joinswap balances. The StableMath interfaces
     * are different depending on the swap direction, so we forward to the appropriate low-level join function.
     */
    function _doJoinSwap(
        bool isGivenIn,
        uint256 amount,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 currentAmp,
        uint256 actualSupply,
        uint256 preJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        return
            isGivenIn
                ? _joinSwapExactTokenInForBptOut(
                    amount,
                    balances,
                    indexIn,
                    currentAmp,
                    actualSupply,
                    preJoinExitInvariant
                )
                : _joinSwapExactBptOutForTokenIn(
                    amount,
                    balances,
                    indexIn,
                    currentAmp,
                    actualSupply,
                    preJoinExitInvariant
                );
    }

    /**
     * @dev Since this is a join, we know the tokenOut is BPT. Since it is GivenIn, we know the tokenIn amount,
     * and must calculate the BPT amount out.
     * We are moving preminted BPT out of the Vault, which increases the virtual supply.
     */
    function _joinSwapExactTokenInForBptOut(
        uint256 amountIn,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 currentAmp,
        uint256 actualSupply,
        uint256 preJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        // The StableMath function was created with joins in mind, so it expects a full amounts array. We create an
        // empty one and only set the amount for the token involved.
        uint256[] memory amountsIn = new uint256[](balances.length);
        amountsIn[indexIn] = amountIn;

        uint256 bptOut = StableMath._calcBptOutGivenExactTokensIn(
            currentAmp,
            balances,
            amountsIn,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

        balances[indexIn] = balances[indexIn].add(amountIn);
        uint256 postJoinExitSupply = actualSupply.add(bptOut);

        return (bptOut, postJoinExitSupply);
    }

    /**
     * @dev Since this is a join, we know the tokenOut is BPT. Since it is GivenOut, we know the BPT amount,
     * and must calculate the token amount in.
     * We are moving preminted BPT out of the Vault, which increases the virtual supply.
     */
    function _joinSwapExactBptOutForTokenIn(
        uint256 bptOut,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 currentAmp,
        uint256 actualSupply,
        uint256 preJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        uint256 amountIn = StableMath._calcTokenInGivenExactBptOut(
            currentAmp,
            balances,
            indexIn,
            bptOut,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

        balances[indexIn] = balances[indexIn].add(amountIn);
        uint256 postJoinExitSupply = actualSupply.add(bptOut);

        return (amountIn, postJoinExitSupply);
    }

    /**
     * @dev This mutates balances so that they become the post-exitswap balances. The StableMath interfaces are
     * different depending on the swap direction, so we forward to the appropriate low-level exit function.
     */
    function _doExitSwap(
        bool isGivenIn,
        uint256 amount,
        uint256[] memory balances,
        uint256 indexOut,
        uint256 currentAmp,
        uint256 actualSupply,
        uint256 preJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        return
            isGivenIn
                ? _exitSwapExactBptInForTokenOut(
                    amount,
                    balances,
                    indexOut,
                    currentAmp,
                    actualSupply,
                    preJoinExitInvariant
                )
                : _exitSwapExactTokenOutForBptIn(
                    amount,
                    balances,
                    indexOut,
                    currentAmp,
                    actualSupply,
                    preJoinExitInvariant
                );
    }

    /**
     * @dev Since this is an exit, we know the tokenIn is BPT. Since it is GivenIn, we know the BPT amount,
     * and must calculate the token amount out.
     * We are moving BPT out of circulation and into the Vault, which decreases the virtual supply.
     */
    function _exitSwapExactBptInForTokenOut(
        uint256 bptAmount,
        uint256[] memory balances,
        uint256 indexOut,
        uint256 currentAmp,
        uint256 actualSupply,
        uint256 preJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        uint256 amountOut = StableMath._calcTokenOutGivenExactBptIn(
            currentAmp,
            balances,
            indexOut,
            bptAmount,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

        balances[indexOut] = balances[indexOut].sub(amountOut);
        uint256 postJoinExitSupply = actualSupply.sub(bptAmount);

        return (amountOut, postJoinExitSupply);
    }

    /**
     * @dev Since this is an exit, we know the tokenIn is BPT. Since it is GivenOut, we know the token amount out,
     * and must calculate the BPT amount in.
     * We are moving BPT out of circulation and into the Vault, which decreases the virtual supply.
     */
    function _exitSwapExactTokenOutForBptIn(
        uint256 amountOut,
        uint256[] memory balances,
        uint256 indexOut,
        uint256 currentAmp,
        uint256 actualSupply,
        uint256 preJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        // The StableMath function was created with exits in mind, so it expects a full amounts array. We create an
        // empty one and only set the amount for the token involved.
        uint256[] memory amountsOut = new uint256[](balances.length);
        amountsOut[indexOut] = amountOut;

        uint256 bptAmount = StableMath._calcBptInGivenExactTokensOut(
            currentAmp,
            balances,
            amountsOut,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

        balances[indexOut] = balances[indexOut].sub(amountOut);
        uint256 postJoinExitSupply = actualSupply.sub(bptAmount);

        return (bptAmount, postJoinExitSupply);
    }

    // Join Hooks

    /**
     * Since this Pool has preminted BPT which is stored in the Vault, it cannot simply be minted at construction.
     *
     * We take advantage of the fact that StablePools have an initialization step where BPT is minted to the first
     * account joining them, and perform both actions at once. By minting the entire BPT supply for the initial joiner
     * and then pulling all tokens except those due the joiner, we arrive at the desired state of the Pool holding all
     * BPT except the joiner's.
     */
    function _onInitializePool(
        bytes32,
        address sender,
        address,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal override returns (uint256, uint256[] memory) {
        StablePoolUserData.JoinKind kind = userData.joinKind();
        _require(kind == StablePoolUserData.JoinKind.INIT, Errors.UNINITIALIZED);

        // AmountsIn usually does not include the BPT token; initialization is the one time it has to.
        uint256[] memory amountsInIncludingBpt = userData.initialAmountsIn();
        InputHelpers.ensureInputLengthMatch(amountsInIncludingBpt.length, scalingFactors.length);
        _upscaleArray(amountsInIncludingBpt, scalingFactors);

        (uint256 amp, ) = _getAmplificationParameter();
        uint256[] memory amountsIn = _dropBptItem(amountsInIncludingBpt);
        uint256 invariantAfterJoin = StableMath._calculateInvariant(amp, amountsIn);

        // Set the initial BPT to the value of the invariant
        uint256 bptAmountOut = invariantAfterJoin;

        // BasePool will mint bptAmountOut for the sender: we then also mint the remaining BPT to make up the total
        // supply, and have the Vault pull those tokens from the sender as part of the join.
        // We are only minting half of the maximum value - already an amount many orders of magnitude greater than any
        // conceivable real liquidity - to allow for minting new BPT as a result of regular joins.
        //
        // Note that the sender need not approve BPT for the Vault as the Vault already has infinite BPT allowance for
        // all accounts.
        uint256 initialBpt = _PREMINTED_TOKEN_BALANCE.sub(bptAmountOut);

        _mintPoolTokens(sender, initialBpt);
        amountsInIncludingBpt[getBptIndex()] = initialBpt;

        // Initialization is still a join, so we need to do post-join work.
        _updatePostJoinExit(amp, invariantAfterJoin);

        return (bptAmountOut, amountsInIncludingBpt);
    }

    /**
     * @dev Base pool hook called from `onJoinPool`. Forward to `onJoinExitPool` with `isJoin` set to true.
     */
    function _onJoinPool(
        bytes32,
        address,
        address,
        uint256[] memory registeredBalances,
        uint256,
        uint256,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal override returns (uint256, uint256[] memory) {
        return _onJoinExitPool(true, registeredBalances, scalingFactors, userData);
    }

    /**
     * @dev Base pool hook called from `onExitPool`. Forward to `onJoinExitPool` with `isJoin` set to false.
     * Note that recovery mode exits do not call `_onExitPool`.
     */
    function _onExitPool(
        bytes32,
        address,
        address,
        uint256[] memory registeredBalances,
        uint256,
        uint256,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal override returns (uint256, uint256[] memory) {
        return _onJoinExitPool(false, registeredBalances, scalingFactors, userData);
    }

    /**
     * @dev Pay protocol fees before the operation, and call `_updateInvariantAfterJoinExit` afterward, to establish
     * the new basis for protocol fees.
     */
    function _onJoinExitPool(
        bool isJoin,
        uint256[] memory registeredBalances,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal returns (uint256, uint256[] memory) {
        (
            uint256 preJoinExitSupply,
            uint256[] memory balances,
            uint256 currentAmp,
            uint256 preJoinExitInvariant
        ) = _beforeJoinExit(registeredBalances);


            function(uint256[] memory, uint256, uint256, uint256, uint256[] memory, bytes memory)
                internal
                view
                returns (uint256, uint256[] memory) _doJoinOrExit
         = (isJoin ? _doJoin : _doExit);

        (uint256 bptAmount, uint256[] memory amountsDelta) = _doJoinOrExit(
            balances,
            currentAmp,
            preJoinExitSupply,
            preJoinExitInvariant,
            scalingFactors,
            userData
        );

        // Unlike joinswaps, explicit joins do not mutate balances into the post join-exit balances so we must perform
        // this mutation here.
        function(uint256, uint256) internal pure returns (uint256) _addOrSub = isJoin ? FixedPoint.add : FixedPoint.sub;
        _mutateAmounts(balances, amountsDelta, _addOrSub);
        uint256 postJoinExitSupply = _addOrSub(preJoinExitSupply, bptAmount);

        // Pass in the post-join balances to reset the protocol fee basis.
        // We are minting bptAmount, increasing the total (and virtual) supply post-join
        _updateInvariantAfterJoinExit(
            currentAmp,
            balances,
            preJoinExitInvariant,
            preJoinExitSupply,
            postJoinExitSupply
        );

        // For clarity and simplicity, arrays used and computed in lower level functions do not include BPT.
        // But the amountsIn array passed back to the Vault must include BPT, so we add it back in here.
        return (bptAmount, _addBptItem(amountsDelta, 0));
    }

    /**
     * @dev Pay any due protocol fees and calculate values necessary for performing the join/exit.
     */
    function _beforeJoinExit(uint256[] memory registeredBalances)
        internal
        returns (
            uint256,
            uint256[] memory,
            uint256,
            uint256
        )
    {
        (uint256 lastJoinExitAmp, uint256 lastPostJoinExitInvariant) = getLastJoinExitData();
        (
            uint256 preJoinExitSupply,
            uint256[] memory balances,
            uint256 oldAmpPreJoinExitInvariant
        ) = _payProtocolFeesBeforeJoinExit(registeredBalances, lastJoinExitAmp, lastPostJoinExitInvariant);

        // If the amplification factor is the same as it was during the last join/exit then we can reuse the
        // value calculated using the "old" amplification factor. If not, then we have to calculate this now.
        (uint256 currentAmp, ) = _getAmplificationParameter();
        uint256 preJoinExitInvariant = currentAmp == lastJoinExitAmp
            ? oldAmpPreJoinExitInvariant
            : StableMath._calculateInvariant(currentAmp, balances);

        return (preJoinExitSupply, balances, currentAmp, preJoinExitInvariant);
    }

    /**
     * @dev Support single- and multi-token joins, but not explicit proportional joins.
     */
    function _doJoin(
        uint256[] memory balances,
        uint256 currentAmp,
        uint256 preJoinExitSupply,
        uint256 preJoinExitInvariant,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal view returns (uint256, uint256[] memory) {
        StablePoolUserData.JoinKind kind = userData.joinKind();
        if (kind == StablePoolUserData.JoinKind.EXACT_TOKENS_IN_FOR_BPT_OUT) {
            return
                _joinExactTokensInForBPTOut(
                    preJoinExitSupply,
                    preJoinExitInvariant,
                    currentAmp,
                    balances,
                    scalingFactors,
                    userData
                );
        } else if (kind == StablePoolUserData.JoinKind.TOKEN_IN_FOR_EXACT_BPT_OUT) {
            return _joinTokenInForExactBPTOut(preJoinExitSupply, preJoinExitInvariant, currentAmp, balances, userData);
        } else {
            _revert(Errors.UNHANDLED_JOIN_KIND);
        }
    }

    /**
     * @dev Multi-token join. Joins with proportional amounts will pay no protocol fees.
     */
    function _joinExactTokensInForBPTOut(
        uint256 actualSupply,
        uint256 preJoinExitInvariant,
        uint256 currentAmp,
        uint256[] memory balances,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        (uint256[] memory amountsIn, uint256 minBPTAmountOut) = userData.exactTokensInForBptOut();
        InputHelpers.ensureInputLengthMatch(balances.length, amountsIn.length);

        // The user-provided amountsIn is unscaled, so we address that.
        _upscaleArray(amountsIn, _dropBptItem(scalingFactors));

        uint256 bptAmountOut = StableMath._calcBptOutGivenExactTokensIn(
            currentAmp,
            balances,
            amountsIn,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

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

        return (bptAmountOut, amountsIn);
    }

    /**
     * @dev Single-token join, equivalent to swapping a pool token for BPT.
     */
    function _joinTokenInForExactBPTOut(
        uint256 actualSupply,
        uint256 preJoinExitInvariant,
        uint256 currentAmp,
        uint256[] memory balances,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        // Since this index is sent in from the user, we interpret it as NOT including the BPT token.
        (uint256 bptAmountOut, uint256 tokenIndex) = userData.tokenInForExactBptOut();
        // Note that there is no maximum amountIn parameter: this is handled by `IVault.joinPool`.

        // Balances are passed through from the Vault hook, and include BPT
        _require(tokenIndex < balances.length, Errors.OUT_OF_BOUNDS);

        // We join with a single token, so initialize amountsIn with zeros.
        uint256[] memory amountsIn = new uint256[](balances.length);

        // And then assign the result to the selected token.
        amountsIn[tokenIndex] = StableMath._calcTokenInGivenExactBptOut(
            currentAmp,
            balances,
            tokenIndex,
            bptAmountOut,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

        return (bptAmountOut, amountsIn);
    }

    // Exit Hooks

    /**
     * @dev Support single- and multi-token exits, but not explicit proportional exits, which are
     * supported through Recovery Mode.
     */
    function _doExit(
        uint256[] memory balances,
        uint256 currentAmp,
        uint256 preJoinExitSupply,
        uint256 preJoinExitInvariant,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal view returns (uint256, uint256[] memory) {
        StablePoolUserData.ExitKind kind = userData.exitKind();
        if (kind == StablePoolUserData.ExitKind.BPT_IN_FOR_EXACT_TOKENS_OUT) {
            return
                _exitBPTInForExactTokensOut(
                    preJoinExitSupply,
                    preJoinExitInvariant,
                    currentAmp,
                    balances,
                    scalingFactors,
                    userData
                );
        } else if (kind == StablePoolUserData.ExitKind.EXACT_BPT_IN_FOR_ONE_TOKEN_OUT) {
            return _exitExactBPTInForTokenOut(preJoinExitSupply, preJoinExitInvariant, currentAmp, balances, userData);
        } else {
            _revert(Errors.UNHANDLED_EXIT_KIND);
        }
    }

    /**
     * @dev Multi-token exit. Proportional exits will pay no protocol fees.
     */
    function _exitBPTInForExactTokensOut(
        uint256 actualSupply,
        uint256 preJoinExitInvariant,
        uint256 currentAmp,
        uint256[] memory balances,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        (uint256[] memory amountsOut, uint256 maxBPTAmountIn) = userData.bptInForExactTokensOut();
        InputHelpers.ensureInputLengthMatch(amountsOut.length, balances.length);

        // The user-provided amountsIn is unscaled, so we address that.
        _upscaleArray(amountsOut, _dropBptItem(scalingFactors));

        uint256 bptAmountIn = StableMath._calcBptInGivenExactTokensOut(
            currentAmp,
            balances,
            amountsOut,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );
        _require(bptAmountIn <= maxBPTAmountIn, Errors.BPT_IN_MAX_AMOUNT);

        return (bptAmountIn, amountsOut);
    }

    /**
     * @dev Single-token exit, equivalent to swapping BPT for a pool token.
     */
    function _exitExactBPTInForTokenOut(
        uint256 actualSupply,
        uint256 preJoinExitInvariant,
        uint256 currentAmp,
        uint256[] memory balances,
        bytes memory userData
    ) private view returns (uint256, uint256[] memory) {
        // Since this index is sent in from the user, we interpret it as NOT including the BPT token
        (uint256 bptAmountIn, uint256 tokenIndex) = userData.exactBptInForTokenOut();
        // Note that there is no minimum amountOut parameter: this is handled by `IVault.exitPool`.

        _require(tokenIndex < balances.length, Errors.OUT_OF_BOUNDS);

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

        // And then assign the result to the selected token.
        amountsOut[tokenIndex] = StableMath._calcTokenOutGivenExactBptIn(
            currentAmp,
            balances,
            tokenIndex,
            bptAmountIn,
            actualSupply,
            preJoinExitInvariant,
            getSwapFeePercentage()
        );

        return (bptAmountIn, amountsOut);
    }

    /**
     * @dev We cannot use the default RecoveryMode implementation here, since we need to account for the BPT token.
     */
    function _doRecoveryModeExit(
        uint256[] memory registeredBalances,
        uint256,
        bytes memory userData
    ) internal virtual override returns (uint256, uint256[] memory) {
        // Since this Pool uses preminted BPT, we need to replace the total supply with the virtual total supply, and
        // adjust the balances array by removing BPT from it.
        // Note that we don't compute the actual supply, which would require a lot of complex calculations and
        // interactions with external components. This is fine because virtual and actual supply are the same while
        // recovery mode is enabled (since all protocol fees are forfeit and the fee percentages zeroed out).
        (uint256 virtualSupply, uint256[] memory balances) = _dropBptItemFromBalances(registeredBalances);

        (uint256 bptAmountIn, uint256[] memory amountsOut) = super._doRecoveryModeExit(
            balances,
            virtualSupply,
            userData
        );

        // The vault requires an array including BPT, so add it back in here.
        return (bptAmountIn, _addBptItem(amountsOut, 0));
    }

    // BPT rate

    /**
     * Many functions require accessing multiple internal values that might at first seem unrelated, but are actually
     * quite intertwined, and computed at the same time for optimal performance (since calculating some of them also
     * yields intermediate results useful for other queries). This helper function returns many of these values,
     * greatly reducing bytecode size.
     *
     * The return values are:
     *  @return balances - The current upscaled token balances (not including BPT)
     *  @return virtualSupply - The Pool's virtual supply
     *  @return protocolFeeAmount - The amount of unpaid protocol fees in BPT
     *  @return lastJoinExitAmp - The Pool's amplification factor at the last join or exit operation
     *  @return currentInvariantWithLastJoinExitAmp - The invariant of the current balances, calculated using the
     *  amplification factor at the last join or exit operation.
     */
    function _getSupplyAndFeesData()
        private
        view
        returns (
            uint256[] memory balances,
            uint256 virtualSupply,
            uint256 protocolFeeAmount,
            uint256 lastJoinExitAmp,
            uint256 currentInvariantWithLastJoinExitAmp
        )
    {
        // First we query the Vault for current registered balances (which includes preminted BPT), to then calculate
        // the current scaled balances and virtual supply.
        (, uint256[] memory registeredBalances, ) = getVault().getPoolTokens(getPoolId());
        _upscaleArray(registeredBalances, _scalingFactors());
        (virtualSupply, balances) = _dropBptItemFromBalances(registeredBalances);

        // Now we need to calculate any BPT due in the form of protocol fees. This requires data from the last join or
        // exit operation. `lastJoinExitAmp` can be useful in the scenario in which the amplification factor has not
        // changed, meaning this old value is equal to the current value.
        uint256 lastPostJoinExitInvariant;
        (lastJoinExitAmp, lastPostJoinExitInvariant) = getLastJoinExitData();

        // Computing the protocol ownership percentage also yields the invariant using the old amplification factor. If
        // it has not changed, then this is also the current invariant.
        uint256 expectedProtocolOwnershipPercentage;
        (
            expectedProtocolOwnershipPercentage,
            currentInvariantWithLastJoinExitAmp
        ) = _getProtocolPoolOwnershipPercentage(balances, lastJoinExitAmp, lastPostJoinExitInvariant);

        protocolFeeAmount = _calculateAdjustedProtocolFeeAmount(virtualSupply, expectedProtocolOwnershipPercentage);
    }

    /**
     * @dev This function returns the appreciation of BPT relative to the underlying tokens, as an 18 decimal fixed
     * point number. It is simply the ratio of the invariant to the BPT supply.
     *
     * The total supply is initialized to equal the invariant, so this value starts at one. During Pool operation the
     * invariant always grows and shrinks either proportionally to the total supply (in scenarios with no price impact,
     * e.g. proportional joins), or grows faster and shrinks more slowly than it (whenever swap fees are collected or
     * the token rates increase). Therefore, the rate is a monotonically increasing function.
     *
     * WARNING: since this function reads balances directly from the Vault, it is potentially subject to manipulation
     * via reentrancy. However, this can only happen if one of the tokens in the Pool contains some form of callback
     * behavior in the `transferFrom` function (like ERC777 tokens do). These tokens are strictly incompatible with the
     * Vault and Pool design, and are not safe to be used.
     */
    function getRate() external view virtual override returns (uint256) {
        // We need to compute the current invariant and actual total supply. The latter includes protocol fees that have
        // accrued but are not yet minted: in calculating these we'll actually end up fetching most of the data we need
        // for the invariant.

        (
            uint256[] memory balances,
            uint256 virtualSupply,
            uint256 protocolFeeAmount,
            uint256 lastJoinExitAmp,
            uint256 currentInvariantWithLastJoinExitAmp
        ) = _getSupplyAndFeesData();

        // Due protocol fees will be minted at the next join or exit, so we can simply add them to the current virtual
        // supply to get the actual supply.
        uint256 actualTotalSupply = virtualSupply.add(protocolFeeAmount);

        // All that's missing now is the invariant. We have the balances required to calculate it already, but still
        // need the current amplification factor.
        (uint256 currentAmp, ) = _getAmplificationParameter();

        // It turns out that the process for due protocol fee calculation involves computing the current invariant,
        // except using the amplification factor at the last join or exit. This would typically not be terribly useful,
        // but since the amplification factor only changes rarely there is high probability of its current value being
        // the same as it was in the last join or exit. If that is the case, then we can skip the costly invariant
        // computation altogether.
        uint256 currentInvariant = (currentAmp == lastJoinExitAmp)
            ? currentInvariantWithLastJoinExitAmp
            : StableMath._calculateInvariant(currentAmp, balances);

        // With the current invariant and actual total supply, we can compute the rate as a fixed-point number.
        return currentInvariant.divDown(actualTotalSupply);
    }

    /**
     * @dev Returns the effective BPT supply.
     *
     * In other pools, this would be the same as `totalSupply`, but there are two key differences here:
     *  - this pool pre-mints BPT and holds it in the Vault as a token, and as such we need to subtract the Vault's
     *    balance to get the total "circulating supply". This is called the 'virtualSupply'.
     *  - the Pool owes debt to the Protocol in the form of unminted BPT, which will be minted immediately before the
     *    next join or exit. We need to take these into account since, even if they don't yet exist, they will
     *    effectively be included in any Pool operation that involves BPT.
     *
     * In the vast majority of cases, this function should be used instead of `totalSupply()`.
     */
    function getActualSupply() external view returns (uint256) {
        (, uint256 virtualSupply, uint256 protocolFeeAmount, , ) = _getSupplyAndFeesData();
        return virtualSupply.add(protocolFeeAmount);
    }

    function _beforeProtocolFeeCacheUpdate() internal override {
        // The `getRate()` function depends on the actual supply, which in turn depends on the cached protocol fee
        // percentages. Changing these would therefore result in the rate changing, which is not acceptable as this is a
        // sensitive value.
        // Because of this, we pay any due protocol fees *before* updating the cache, making it so that the new
        // percentages only affect future operation of the Pool, and not past fees. As a result, `getRate()` is
        // unaffected by the cached protocol fee percentages changing.

        // Given that this operation is state-changing and relatively complex, we only allow it as long as the Pool is
        // not paused.
        _ensureNotPaused();

        // We need to calculate the amount of unminted BPT that represents protocol fees to then pay those. This yields
        // some auxiliary values that turn out to also be useful for the rest of the tasks we want to perform.
        (
            uint256[] memory balances,
            ,
            uint256 protocolFeeAmount,
            uint256 lastJoinExitAmp,
            uint256 currentInvariantWithLastJoinExitAmp
        ) = _getSupplyAndFeesData();

        if (protocolFeeAmount > 0) {
            _payProtocolFees(protocolFeeAmount);
        }

        // With the fees paid, we now need to calculate the current invariant so we can store it alongside the current
        // amplification factor, marking the Pool as free of protocol debt.
        (uint256 currentAmp, ) = _getAmplificationParameter();

        // It turns out that the process for due protocol fee calculation involves computing the current invariant,
        // except using the amplification factor at the last join or exit. This would typically not be terribly useful,
        // but since the amplification factor only changes rarely there is high probability of its current value being
        // the same as it was in the last join or exit. If that is the case, then we can skip the costly invariant
        // computation altogether.
        uint256 currentInvariant = (currentAmp == lastJoinExitAmp)
            ? currentInvariantWithLastJoinExitAmp
            : StableMath._calculateInvariant(currentAmp, balances);

        _updatePostJoinExit(currentAmp, currentInvariant);
    }

    function _onDisableRecoveryMode() internal override {
        // Enabling recovery mode short-circuits protocol fee computations, forcefully returning a zero percentage,
        // increasing the return value of `getRate()` and effectively forfeiting due protocol fees.

        // Therefore, when exiting recovery mode we store the current invariant and the amplification factor used to
        // compute it, marking the Pool as free of protocol debt. Otherwise it'd be possible for debt to be
        // retroactively accrued, which would be incorrect and could lead to the value of `getRate` decreasing.

        (, uint256[] memory registeredBalances, ) = getVault().getPoolTokens(getPoolId());
        _upscaleArray(registeredBalances, _scalingFactors());
        uint256[] memory balances = _dropBptItem(registeredBalances);

        (uint256 currentAmp, ) = _getAmplificationParameter();
        uint256 currentInvariant = StableMath._calculateInvariant(currentAmp, balances);

        _updatePostJoinExit(currentAmp, currentInvariant);
    }

    // Helpers

    /**
     * @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 pure {
        uint256 length = toMutate.length;
        InputHelpers.ensureInputLengthMatch(length, arguments.length);

        for (uint256 i = 0; i < length; ++i) {
            toMutate[i] = mutation(toMutate[i], arguments[i]);
        }
    }

    // Permissioned functions

    /**
     * @dev Inheritance rules still require us to override this in the most derived contract, even though
     * it only calls super.
     */
    function _isOwnerOnlyAction(bytes32 actionId)
        internal
        view
        virtual
        override(
            // Our inheritance pattern creates a small diamond that requires explicitly listing the parents here.
            // Each parent calls the `super` version, so linearization ensures all implementations are called.
            BasePool,
            ComposableStablePoolProtocolFees,
            StablePoolAmplification,
            ComposableStablePoolRates
        )
        returns (bool)
    {
        return super._isOwnerOnlyAction(actionId);
    }
}

// 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;

library StablePoolUserData {
    enum JoinKind { INIT, EXACT_TOKENS_IN_FOR_BPT_OUT, TOKEN_IN_FOR_EXACT_BPT_OUT }
    enum ExitKind { EXACT_BPT_IN_FOR_ONE_TOKEN_OUT, BPT_IN_FOR_EXACT_TOKENS_OUT }

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

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

    // Joins

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

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

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

    // Exits

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

    function bptInForExactTokensOut(bytes memory self)
        internal
        pure
        returns (uint256[] memory amountsOut, uint256 maxBPTAmountIn)
    {
        (, amountsOut, maxBPTAmountIn) = abi.decode(self, (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 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.
 * Uses the default 'BAL' prefix for the error code
 */
function _require(bool condition, uint256 errorCode) pure {
    if (!condition) _revert(errorCode);
}

/**
 * @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, bytes3 prefix) pure {
    if (!condition) _revert(errorCode, prefix);
}

/**
 * @dev Reverts with a revert reason containing `errorCode`. Only codes up to 999 are supported.
 * Uses the default 'BAL' prefix for the error code
 */
function _revert(uint256 errorCode) pure {
    _revert(errorCode, 0x42414c); // This is the raw byte representation of "BAL"
}

/**
 * @dev Reverts with a revert reason containing `errorCode`. Only codes up to 999 are supported.
 */
function _revert(uint256 errorCode, bytes3 prefix) pure {
    uint256 prefixUint = uint256(uint24(prefix));
    // 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.
        // We first append the '#' character (0x23) to the prefix. In the case of 'BAL', it results in 0x42414c23 ('BAL#')
        // Then, we 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 formattedPrefix := shl(24, add(0x23, shl(8, prefixUint)))

        let revertReason := shl(200, add(formattedPrefix, 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;
    uint256 internal constant NOT_TWO_TOKENS = 210;
    uint256 internal constant DISABLED = 211;

    // 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;
    uint256 internal constant ORACLE_INVALID_SECONDS_QUERY = 312;
    uint256 internal constant ORACLE_NOT_INITIALIZED = 313;
    uint256 internal constant ORACLE_QUERY_TOO_OLD = 314;
    uint256 internal constant ORACLE_INVALID_INDEX = 315;
    uint256 internal constant ORACLE_BAD_SECS = 316;
    uint256 internal constant AMP_END_TIME_TOO_CLOSE = 317;
    uint256 internal constant AMP_ONGOING_UPDATE = 318;
    uint256 internal constant AMP_RATE_TOO_HIGH = 319;
    uint256 internal constant AMP_NO_ONGOING_UPDATE = 320;
    uint256 internal constant STABLE_INVARIANT_DIDNT_CONVERGE = 321;
    uint256 internal constant STABLE_GET_BALANCE_DIDNT_CONVERGE = 322;
    uint256 internal constant RELAYER_NOT_CONTRACT = 323;
    uint256 internal constant BASE_POOL_RELAYER_NOT_CALLED = 324;
    uint256 internal constant REBALANCING_RELAYER_REENTERED = 325;
    uint256 internal constant GRADUAL_UPDATE_TIME_TRAVEL = 326;
    uint256 internal constant SWAPS_DISABLED = 327;
    uint256 internal constant CALLER_IS_NOT_LBP_OWNER = 328;
    uint256 internal constant PRICE_RATE_OVERFLOW = 329;
    uint256 internal constant INVALID_JOIN_EXIT_KIND_WHILE_SWAPS_DISABLED = 330;
    uint256 internal constant WEIGHT_CHANGE_TOO_FAST = 331;
    uint256 internal constant LOWER_GREATER_THAN_UPPER_TARGET = 332;
    uint256 internal constant UPPER_TARGET_TOO_HIGH = 333;
    uint256 internal constant UNHANDLED_BY_LINEAR_POOL = 334;
    uint256 internal constant OUT_OF_TARGET_RANGE = 335;
    uint256 internal constant UNHANDLED_EXIT_KIND = 336;
    uint256 internal constant UNAUTHORIZED_EXIT = 337;
    uint256 internal constant MAX_MANAGEMENT_SWAP_FEE_PERCENTAGE = 338;
    uint256 internal constant UNHANDLED_BY_MANAGED_POOL = 339;
    uint256 internal constant UNHANDLED_BY_PHANTOM_POOL = 340;
    uint256 internal constant TOKEN_DOES_NOT_HAVE_RATE_PROVIDER = 341;
    uint256 internal constant INVALID_INITIALIZATION = 342;
    uint256 internal constant OUT_OF_NEW_TARGET_RANGE = 343;
    uint256 internal constant FEATURE_DISABLED = 344;
    uint256 internal constant UNINITIALIZED_POOL_CONTROLLER = 345;
    uint256 internal constant SET_SWAP_FEE_DURING_FEE_CHANGE = 346;
    uint256 internal constant SET_SWAP_FEE_PENDING_FEE_CHANGE = 347;
    uint256 internal constant CHANGE_TOKENS_DURING_WEIGHT_CHANGE = 348;
    uint256 internal constant CHANGE_TOKENS_PENDING_WEIGHT_CHANGE = 349;
    uint256 internal constant MAX_WEIGHT = 350;
    uint256 internal constant UNAUTHORIZED_JOIN = 351;
    uint256 internal constant MAX_MANAGEMENT_AUM_FEE_PERCENTAGE = 352;
    uint256 internal constant FRACTIONAL_TARGET = 353;

    // 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;
    uint256 internal constant CALLER_IS_NOT_OWNER = 426;
    uint256 internal constant NEW_OWNER_IS_ZERO = 427;
    uint256 internal constant CODE_DEPLOYMENT_FAILED = 428;
    uint256 internal constant CALL_TO_NON_CONTRACT = 429;
    uint256 internal constant LOW_LEVEL_CALL_FAILED = 430;
    uint256 internal constant NOT_PAUSED = 431;
    uint256 internal constant ADDRESS_ALREADY_ALLOWLISTED = 432;
    uint256 internal constant ADDRESS_NOT_ALLOWLISTED = 433;
    uint256 internal constant ERC20_BURN_EXCEEDS_BALANCE = 434;
    uint256 internal constant INVALID_OPERATION = 435;
    uint256 internal constant CODEC_OVERFLOW = 436;
    uint256 internal constant IN_RECOVERY_MODE = 437;
    uint256 internal constant NOT_IN_RECOVERY_MODE = 438;
    uint256 internal constant INDUCED_FAILURE = 439;
    uint256 internal constant EXPIRED_SIGNATURE = 440;
    uint256 internal constant MALFORMED_SIGNATURE = 441;
    uint256 internal constant SAFE_CAST_VALUE_CANT_FIT_UINT64 = 442;
    uint256 internal constant UNHANDLED_FEE_TYPE = 443;

    // 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;
    uint256 internal constant AUM_FEE_PERCENTAGE_TOO_HIGH = 603;

    // Misc
    uint256 internal constant UNIMPLEMENTED = 998;
    uint256 internal constant SHOULD_NOT_HAPPEN = 999;
}

// 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;

/**
 * @dev Source of truth for all Protocol Fee percentages, that is, how much the protocol charges certain actions. Some
 * of these values may also be retrievable from other places (such as the swap fee percentage), but this is the
 * preferred source nonetheless.
 */
interface IProtocolFeePercentagesProvider {
    // All fee percentages are 18-decimal fixed point numbers, so e.g. 1e18 = 100% and 1e16 = 1%.

    // Emitted when a new fee type is registered.
    event ProtocolFeeTypeRegistered(uint256 indexed feeType, string name, uint256 maximumPercentage);

    // Emitted when the value of a fee type changes.
    // IMPORTANT: it is possible for a third party to modify the SWAP and FLASH_LOAN fee type values directly in the
    // ProtocolFeesCollector, which will result in this event not being emitted despite their value changing. Such usage
    // of the ProtocolFeesCollector is however discouraged: all state-changing interactions with it should originate in
    // this contract.
    event ProtocolFeePercentageChanged(uint256 indexed feeType, uint256 percentage);

    /**
     * @dev Registers a new fee type in the system, making it queryable via `getFeeTypePercentage` and `getFeeTypeName`,
     * as well as configurable via `setFeeTypePercentage`.
     *
     * `feeType` can be any arbitrary value (that is not in use).
     *
     * It is not possible to de-register fee types, nor change their name or maximum value.
     */
    function registerFeeType(
        uint256 feeType,
        string memory name,
        uint256 maximumValue,
        uint256 initialValue
    ) external;

    /**
     * @dev Returns true if `feeType` has been registered and can be queried.
     */
    function isValidFeeType(uint256 feeType) external view returns (bool);

    /**
     * @dev Returns true if `value` is a valid percentage value for `feeType`.
     */
    function isValidFeeTypePercentage(uint256 feeType, uint256 value) external view returns (bool);

    /**
     * @dev Sets the percentage value for `feeType` to `newValue`.
     *
     * IMPORTANT: it is possible for a third party to modify the SWAP and FLASH_LOAN fee type values directly in the
     * ProtocolFeesCollector, without invoking this function. This will result in the `ProtocolFeePercentageChanged`
     * event not being emitted despite their value changing. Such usage of the ProtocolFeesCollector is however
     * discouraged: only this contract should be granted permission to call `setSwapFeePercentage` and
     * `setFlashLoanFeePercentage`.
     */
    function setFeeTypePercentage(uint256 feeType, uint256 newValue) external;

    /**
     * @dev Returns the current percentage value for `feeType`. This is the preferred mechanism for querying these -
     * whenever possible, use this fucntion instead of e.g. querying the ProtocolFeesCollector.
     */
    function getFeeTypePercentage(uint256 feeType) external view returns (uint256);

    /**
     * @dev Returns `feeType`'s maximum value.
     */
    function getFeeTypeMaximumPercentage(uint256 feeType) external view returns (uint256);

    /**
     * @dev Returns `feeType`'s name.
     */
    function getFeeTypeName(uint256 feeType) external view returns (string memory);
}

library ProtocolFeeType {
    // This list is not exhaustive - more fee types can be added to the system. It is expected for this list to be
    // extended with new fee types as they are registered, to keep them all in one place and reduce
    // likelihood of user error.

    // solhint-disable private-vars-leading-underscore
    uint256 internal constant SWAP = 0;
    uint256 internal constant FLASH_LOAN = 1;
    uint256 internal constant YIELD = 2;
    uint256 internal constant AUM = 3;
    // solhint-enable private-vars-leading-underscore
}

// 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 IRateProvider {
    /**
     * @dev Returns an 18 decimal fixed point number that is the exchange rate of the token to some other underlying
     * token. The meaning of this rate depends on the context.
     */
    function getRate() 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;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";

import "./LogExpMath.sol";

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

library FixedPoint {
    uint256 internal constant ONE = 1e18; // 18 decimal places
    uint256 internal constant TWO = 2 * ONE;
    uint256 internal constant FOUR = 4 * ONE;
    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) {
        // Optimize for when y equals 1.0, 2.0 or 4.0, as those are very simple to implement and occur often in 50/50
        // and 80/20 Weighted Pools
        if (y == ONE) {
            return x;
        } else if (y == TWO) {
            return mulDown(x, x);
        } else if (y == FOUR) {
            uint256 square = mulDown(x, x);
            return mulDown(square, square);
        } else {
            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) {
        // Optimize for when y equals 1.0, 2.0 or 4.0, as those are very simple to implement and occur often in 50/50
        // and 80/20 Weighted Pools
        if (y == ONE) {
            return x;
        } else if (y == TWO) {
            return mulUp(x, x);
        } else if (y == FOUR) {
            uint256 square = mulUp(x, x);
            return mulUp(square, square);
        } else {
            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: MIT

pragma solidity ^0.7.0;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/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 absolute value of a signed integer.
     */
    function abs(int256 a) internal pure returns (uint256) {
        return a > 0 ? uint256(a) : uint256(-a);
    }

    /**
     * @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 div(
        uint256 a,
        uint256 b,
        bool roundUp
    ) internal pure returns (uint256) {
        return roundUp ? divUp(a, b) : divDown(a, b);
    }

    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: 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/openzeppelin/IERC20.sol";
import "@balancer-labs/v2-interfaces/contracts/vault/IAsset.sol";

// solhint-disable

function _asIAsset(IERC20[] memory tokens) pure returns (IAsset[] memory assets) {
    // solhint-disable-next-line no-inline-assembly
    assembly {
        assets := tokens
    }
}

function _sortTokens(
    IERC20 tokenA,
    IERC20 tokenB,
    IERC20 tokenC
) pure returns (IERC20[] memory tokens) {
    (uint256 indexTokenA, uint256 indexTokenB, uint256 indexTokenC) = _getSortedTokenIndexes(tokenA, tokenB, tokenC);
    tokens = new IERC20[](3);
    tokens[indexTokenA] = tokenA;
    tokens[indexTokenB] = tokenB;
    tokens[indexTokenC] = tokenC;
}

function _insertSorted(IERC20[] memory tokens, IERC20 token) pure returns (IERC20[] memory sorted) {
    sorted = new IERC20[](tokens.length + 1);

    if (tokens.length == 0) {
        sorted[0] = token;
        return sorted;
    }

    uint256 i;
    for (i = tokens.length; i > 0 && tokens[i - 1] > token; i--) sorted[i] = tokens[i - 1];
    for (uint256 j = 0; j < i; j++) sorted[j] = tokens[j];
    sorted[i] = token;
}

function _appendToken(IERC20[] memory tokens, IERC20 newToken) pure returns (IERC20[] memory newTokens) {
    uint256 numTokens = tokens.length;
    newTokens = new IERC20[](numTokens + 1);

    for (uint256 i = 0; i < numTokens; ++i) newTokens[i] = tokens[i];
    newTokens[numTokens] = newToken;
}

function _getSortedTokenIndexes(
    IERC20 tokenA,
    IERC20 tokenB,
    IERC20 tokenC
)
    pure
    returns (
        uint256 indexTokenA,
        uint256 indexTokenB,
        uint256 indexTokenC
    )
{
    if (tokenA < tokenB) {
        if (tokenB < tokenC) {
            // (tokenA, tokenB, tokenC)
            return (0, 1, 2);
        } else if (tokenA < tokenC) {
            // (tokenA, tokenC, tokenB)
            return (0, 2, 1);
        } else {
            // (tokenC, tokenA, tokenB)
            return (1, 2, 0);
        }
    } else {
        // tokenB < tokenA
        if (tokenC < tokenB) {
            // (tokenC, tokenB, tokenA)
            return (2, 1, 0);
        } else if (tokenC < tokenA) {
            // (tokenB, tokenC, tokenA)
            return (2, 0, 1);
        } else {
            // (tokenB, tokenA, tokenC)
            return (1, 0, 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;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/openzeppelin/IERC20.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.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(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;
pragma experimental ABIEncoderV2;

import "@balancer-labs/v2-interfaces/contracts/vault/IGeneralPool.sol";

import "./BasePool.sol";

/**
 * @dev Extension of `BasePool`, adding a handler for `IGeneralPool.onSwap`.
 *
 * Derived contracts must call `BasePool`'s constructor, and implement `_onSwapGivenIn` and `_onSwapGivenOut` along with
 * `BasePool`'s virtual functions. Inheriting from this contract lets derived contracts choose the General
 * specialization setting.
 */
abstract contract BaseGeneralPool is IGeneralPool, BasePool {
    // Swap Hooks

    function onSwap(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) external override onlyVault(swapRequest.poolId) returns (uint256) {
        _beforeSwapJoinExit();

        _validateIndexes(indexIn, indexOut, _getTotalTokens());
        uint256[] memory scalingFactors = _scalingFactors();

        return
            swapRequest.kind == IVault.SwapKind.GIVEN_IN
                ? _swapGivenIn(swapRequest, balances, indexIn, indexOut, scalingFactors)
                : _swapGivenOut(swapRequest, balances, indexIn, indexOut, scalingFactors);
    }

    function _swapGivenIn(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut,
        uint256[] memory scalingFactors
    ) internal virtual returns (uint256) {
        // Fees are subtracted before scaling, to reduce the complexity of the rounding direction analysis.
        swapRequest.amount = _subtractSwapFeeAmount(swapRequest.amount);

        _upscaleArray(balances, scalingFactors);
        swapRequest.amount = _upscale(swapRequest.amount, scalingFactors[indexIn]);

        uint256 amountOut = _onSwapGivenIn(swapRequest, balances, indexIn, indexOut);

        // amountOut tokens are exiting the Pool, so we round down.
        return _downscaleDown(amountOut, scalingFactors[indexOut]);
    }

    function _swapGivenOut(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut,
        uint256[] memory scalingFactors
    ) internal virtual returns (uint256) {
        _upscaleArray(balances, scalingFactors);
        swapRequest.amount = _upscale(swapRequest.amount, scalingFactors[indexOut]);

        uint256 amountIn = _onSwapGivenOut(swapRequest, balances, indexIn, indexOut);

        // amountIn tokens are entering the Pool, so we round up.
        amountIn = _downscaleUp(amountIn, scalingFactors[indexIn]);

        // 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` and `balances` 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[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) internal 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` and `balances` 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[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) internal virtual returns (uint256);

    function _validateIndexes(
        uint256 indexIn,
        uint256 indexOut,
        uint256 limit
    ) private pure {
        _require(indexIn < limit && indexOut < limit, Errors.OUT_OF_BOUNDS);
    }
}

// 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";

import "@balancer-labs/v2-solidity-utils/contracts/helpers/WordCodec.sol";

/**
 * Price rate caches are used to avoid querying the price rate for a token every time we need to work with it. It is
 * useful for slow changing rates, such as those that arise from interest-bearing tokens (e.g. waDAI into DAI).
 *
 * The cache data is packed into a single bytes32 value with the following structure:
 * [ 32 bits |  32 bits  |  96 bits  |    96 bits    ]
 * [ expires | duration  | old rate  | current rate  ]
 * |MSB                                           LSB|
 *
 * 'rate' is an 18 decimal fixed point number, supporting rates of up to ~3e10. 'expires' is a Unix timestamp, and
 * 'duration' is expressed in seconds.
 */
library PriceRateCache {
    using WordCodec for bytes32;

    uint256 private constant _CURRENT_PRICE_RATE_OFFSET = 0;
    uint256 private constant _OLD_PRICE_RATE_OFFSET = 96;
    uint256 private constant _PRICE_RATE_CACHE_DURATION_OFFSET = 192;
    uint256 private constant _PRICE_RATE_CACHE_EXPIRES_OFFSET = 224;

    uint256 private constant _RATE_BIT_LENGTH = 96;
    uint256 private constant _DURATION_BIT_LENGTH = 32;

    /**
     * @dev Returns the current rate in the price rate cache.
     */
    function getCurrentRate(bytes32 cache) internal pure returns (uint256) {
        return cache.decodeUint(_CURRENT_PRICE_RATE_OFFSET, _RATE_BIT_LENGTH);
    }

    /**
     * @dev Returns the old rate in the price rate cache.
     */
    function getOldRate(bytes32 cache) internal pure returns (uint256) {
        return cache.decodeUint(_OLD_PRICE_RATE_OFFSET, _RATE_BIT_LENGTH);
    }

    /**
     * @dev Copies the current rate to the old rate.
     */
    function updateOldRate(bytes32 cache) internal pure returns (bytes32) {
        return cache.insertUint(getCurrentRate(cache), _OLD_PRICE_RATE_OFFSET, _RATE_BIT_LENGTH);
    }

    /**
     * @dev Returns the duration of a price rate cache.
     */
    function getDuration(bytes32 cache) internal pure returns (uint256) {
        return cache.decodeUint(_PRICE_RATE_CACHE_DURATION_OFFSET, _DURATION_BIT_LENGTH);
    }

    /**
     * @dev Returns the duration and expiration time of a price rate cache.
     */
    function getTimestamps(bytes32 cache) internal pure returns (uint256 duration, uint256 expires) {
        duration = getDuration(cache);
        expires = cache.decodeUint(_PRICE_RATE_CACHE_EXPIRES_OFFSET, _DURATION_BIT_LENGTH);
    }

    /**
     * @dev Encodes rate and duration into a price rate cache. The expiration time is computed automatically, counting
     * from the current time.
     */
    function updateRateAndDuration(
        bytes32 cache,
        uint256 rate,
        uint256 duration
    ) internal view returns (bytes32) {
        _require(rate >> _RATE_BIT_LENGTH == 0, Errors.PRICE_RATE_OVERFLOW);

        // solhint-disable not-rely-on-time
        return
            cache
                .insertUint(rate, _CURRENT_PRICE_RATE_OFFSET, _RATE_BIT_LENGTH)
                .insertUint(duration, _PRICE_RATE_CACHE_DURATION_OFFSET, _DURATION_BIT_LENGTH)
                .insertUint(block.timestamp + duration, _PRICE_RATE_CACHE_EXPIRES_OFFSET, _DURATION_BIT_LENGTH);
    }

    /**
     * @dev Update the current rate in a price rate cache.
     */
    function updateCurrentRate(bytes32 cache, uint256 rate) internal pure returns (bytes32) {
        _require(rate >> _RATE_BIT_LENGTH == 0, Errors.PRICE_RATE_OVERFLOW);

        return cache.insertUint(rate, _CURRENT_PRICE_RATE_OFFSET, _RATE_BIT_LENGTH);
    }

    /**
     * @dev Update the duration (and expiration) in a price rate cache.
     */
    function updateDuration(bytes32 cache, uint256 duration) internal view returns (bytes32) {
        return
            cache.insertUint(duration, _PRICE_RATE_CACHE_DURATION_OFFSET, _DURATION_BIT_LENGTH).insertUint(
                block.timestamp + duration,
                _PRICE_RATE_CACHE_EXPIRES_OFFSET,
                _DURATION_BIT_LENGTH
            );
    }

    /**
     * @dev Returns rate, duration and expiration time of a price rate cache.
     */
    function decode(bytes32 cache)
        internal
        pure
        returns (
            uint256 rate,
            uint256 duration,
            uint256 expires
        )
    {
        rate = getCurrentRate(cache);
        (duration, expires) = getTimestamps(cache);
    }
}

// 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/openzeppelin/IERC20.sol";
import "@balancer-labs/v2-interfaces/contracts/pool-utils/IRateProvider.sol";

import "@balancer-labs/v2-pool-utils/contracts/BasePool.sol";

import "./StableMath.sol";

abstract contract ComposableStablePoolStorage is BasePool {
    using FixedPoint for uint256;
    using WordCodec for bytes32;

    struct StorageParams {
        IERC20[] registeredTokens;
        IRateProvider[] tokenRateProviders;
        bool[] exemptFromYieldProtocolFeeFlags;
    }

    // This minimum refers not to the total tokens, but rather to the non-BPT tokens. The minimum value for _totalTokens
    // is therefore _MIN_TOKENS + 1.
    uint256 private constant _MIN_TOKENS = 2;

    // The Pool will register n+1 tokens, where n are the actual tokens in the Pool, and the other one is the BPT
    // itself.
    uint256 private immutable _totalTokens;

    // The index of BPT in the tokens and balances arrays, i.e. its index when calling IVault.registerTokens().
    uint256 private immutable _bptIndex;

    // These are the registered tokens: one of them will be the BPT.
    IERC20 private immutable _token0;
    IERC20 private immutable _token1;
    IERC20 private immutable _token2;
    IERC20 private immutable _token3;
    IERC20 private immutable _token4;
    IERC20 private immutable _token5;

    // 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;

    // Rate Providers accommodate tokens with a known price ratio, such as Compound's cTokens.

    IRateProvider internal immutable _rateProvider0;
    IRateProvider internal immutable _rateProvider1;
    IRateProvider internal immutable _rateProvider2;
    IRateProvider internal immutable _rateProvider3;
    IRateProvider internal immutable _rateProvider4;
    IRateProvider internal immutable _rateProvider5;

    // This is a bitmap which allows querying whether a token at a particular index:
    // - has a rate provider associated with it.
    // - is exempt from yield protocol fees.
    // This is required as the data stored in this bitmap is computed from values in immutable storage,
    // without this bitmap we would have to manually search through token by token to reach these values.
    // The data structure is as follows:
    //
    // [  unused  | rate provider flags | exemption flags ]
    // [ 244 bits |        6 bits       |     6 bits      ]
    bytes32 private immutable _rateProviderInfoBitmap;

    // We also keep two dedicated flags that indicate the special cases where none or all tokens are exempt, which allow
    // for some gas optimizations in these special scenarios.
    bool private immutable _noTokensExempt;
    bool private immutable _allTokensExempt;

    uint256 private constant _RATE_PROVIDER_FLAGS_OFFSET = 6;

    constructor(StorageParams memory params) {
        // BasePool checks that the Pool has at least two tokens, but since one of them is the BPT (this contract), we
        // need to check ourselves that there are at least creator-supplied tokens (i.e. the minimum number of total
        // tokens for this contract is actually three, including the BPT).
        uint256 totalTokens = params.registeredTokens.length;
        _require(totalTokens > _MIN_TOKENS, Errors.MIN_TOKENS);
        InputHelpers.ensureInputLengthMatch(
            totalTokens - 1,
            params.tokenRateProviders.length,
            params.exemptFromYieldProtocolFeeFlags.length
        );

        _totalTokens = totalTokens;

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

        _scalingFactor0 = _computeScalingFactor(params.registeredTokens[0]);
        _scalingFactor1 = _computeScalingFactor(params.registeredTokens[1]);
        _scalingFactor2 = _computeScalingFactor(params.registeredTokens[2]);
        _scalingFactor3 = totalTokens > 3 ? _computeScalingFactor(params.registeredTokens[3]) : 0;
        _scalingFactor4 = totalTokens > 4 ? _computeScalingFactor(params.registeredTokens[4]) : 0;
        _scalingFactor5 = totalTokens > 5 ? _computeScalingFactor(params.registeredTokens[5]) : 0;

        // The Vault keeps track of all Pool tokens in a specific order: we need to know what the index of BPT is in
        // this ordering to be able to identify it when balances arrays are received. Since the tokens array is sorted,
        // we need to find the correct BPT index in the array returned by `_insertSorted()`.
        // See `IVault.getPoolTokens()` for more information regarding token ordering.
        uint256 bptIndex;
        for (
            bptIndex = params.registeredTokens.length - 1;
            bptIndex > 0 && params.registeredTokens[bptIndex] > IERC20(this);
            bptIndex--
        ) {
            // solhint-disable-previous-line no-empty-blocks
        }
        _bptIndex = bptIndex;

        // The rate providers are stored as immutable state variables, and for simplicity when accessing those we'll
        // reference them by token index in the full base tokens plus BPT set (i.e. the tokens the Pool registers). Due
        // to immutable variables requiring an explicit assignment instead of defaulting to an empty value, it is
        // simpler to create a new memory array with the values we want to assign to the immutable state variables.
        IRateProvider[] memory rateProviders = new IRateProvider[](params.registeredTokens.length);

        bytes32 rateProviderInfoBitmap;

        bool anyExempt = false;
        bool anyNonExempt = false;

        // The exemptFromYieldFlag should never be set on a token without a rate provider.
        // This would cause division by zero errors downstream.
        for (uint256 i = 0; i < params.registeredTokens.length; ++i) {
            if (i < bptIndex) {
                rateProviders[i] = params.tokenRateProviders[i];
                // Store whether token has rate provider
                rateProviderInfoBitmap = rateProviderInfoBitmap.insertBool(
                    rateProviders[i] != IRateProvider(0),
                    _RATE_PROVIDER_FLAGS_OFFSET + i
                );
                // Store whether token is exempt from yield fees.
                if (params.exemptFromYieldProtocolFeeFlags[i]) {
                    _require(rateProviders[i] != IRateProvider(0), Errors.TOKEN_DOES_NOT_HAVE_RATE_PROVIDER);
                    rateProviderInfoBitmap = rateProviderInfoBitmap.insertBool(true, i);

                    anyExempt = true;
                } else {
                    anyNonExempt = true;
                }
            } else if (i != bptIndex) {
                rateProviders[i] = params.tokenRateProviders[i - 1];
                // Store whether token has rate provider
                rateProviderInfoBitmap = rateProviderInfoBitmap.insertBool(
                    rateProviders[i] != IRateProvider(0),
                    _RATE_PROVIDER_FLAGS_OFFSET + i
                );
                // Store whether token is exempt from yield fees.
                if (params.exemptFromYieldProtocolFeeFlags[i - 1]) {
                    _require(rateProviders[i] != IRateProvider(0), Errors.TOKEN_DOES_NOT_HAVE_RATE_PROVIDER);
                    rateProviderInfoBitmap = rateProviderInfoBitmap.insertBool(true, i);

                    anyExempt = true;
                } else {
                    anyNonExempt = true;
                }
            }
        }

        _noTokensExempt = !anyExempt;
        _allTokensExempt = !anyNonExempt;

        // Immutable variables cannot be initialized inside an if statement, so we must do conditional assignments
        _rateProvider0 = rateProviders[0];
        _rateProvider1 = rateProviders[1];
        _rateProvider2 = rateProviders[2];
        _rateProvider3 = (rateProviders.length > 3) ? rateProviders[3] : IRateProvider(0);
        _rateProvider4 = (rateProviders.length > 4) ? rateProviders[4] : IRateProvider(0);
        _rateProvider5 = (rateProviders.length > 5) ? rateProviders[5] : IRateProvider(0);

        _rateProviderInfoBitmap = rateProviderInfoBitmap;
    }

    // Tokens

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

    function _getMaxTokens() internal pure override returns (uint256) {
        // The BPT will be one of the Pool tokens, but it is unaffected by the Stable 5 token limit.
        return StableMath._MAX_STABLE_TOKENS + 1;
    }

    function getBptIndex() public view returns (uint256) {
        return _bptIndex;
    }

    function _getTokenIndex(IERC20 token) internal view returns (uint256) {
        if (token == _token0) return 0;
        if (token == _token1) return 1;
        if (token == _token2) return 2;
        if (token == _token3) return 3;
        if (token == _token4) return 4;
        if (token == _token5) return 5;

        _revert(Errors.INVALID_TOKEN);
    }

    function _scalingFactor(IERC20) internal view virtual override returns (uint256) {
        // We never use a single token's scaling factor by itself, we always process the entire array at once.
        // Therefore we don't bother providing an implementation for this.
        _revert(Errors.UNIMPLEMENTED);
    }

    // Index helpers

    // Convert from an index into an array including BPT (the Vault's registered token list), to an index
    // into an array excluding BPT (usually from user input, such as amountsIn/Out).
    // `index` must not be the BPT token index itself.
    function _skipBptIndex(uint256 index) internal view returns (uint256) {
        // Currently this is never called with an index passed in from user input, so this check
        // should not be necessary. Included for completion (and future proofing).
        _require(index != getBptIndex(), Errors.OUT_OF_BOUNDS);

        return index < getBptIndex() ? index : index.sub(1);
    }

    /**
     * @dev Remove the item at `_bptIndex` from an arbitrary array (e.g., amountsIn).
     */
    function _dropBptItem(uint256[] memory amounts) internal view returns (uint256[] memory) {
        uint256[] memory amountsWithoutBpt = new uint256[](amounts.length - 1);
        for (uint256 i = 0; i < amountsWithoutBpt.length; i++) {
            amountsWithoutBpt[i] = amounts[i < getBptIndex() ? i : i + 1];
        }

        return amountsWithoutBpt;
    }

    /**
     * @dev Same as `_dropBptItem`, except the virtual supply is also returned, and `balances` is assumed to be the
     * current Pool balances (including BPT).
     */
    function _dropBptItemFromBalances(uint256[] memory registeredBalances)
        internal
        view
        returns (uint256, uint256[] memory)
    {
        return (_getVirtualSupply(registeredBalances[getBptIndex()]), _dropBptItem(registeredBalances));
    }

    // Convert from an index into an array excluding BPT (usually from user input, such as amountsIn/Out),
    // to an index into an array including BPT (the Vault's registered token list).
    // `index` must not be the BPT token index itself, if it is the last element, and the result must be
    // in the range of registered tokens.
    function _addBptIndex(uint256 index) internal view returns (uint256 registeredIndex) {
        // This can be called from an index passed in from user input.
        registeredIndex = index < getBptIndex() ? index : index.add(1);

        // TODO: `indexWithBpt != getBptIndex()` follows from above line and so can be removed.
        _require(registeredIndex < _totalTokens && registeredIndex != getBptIndex(), Errors.OUT_OF_BOUNDS);
    }

    /**
     * @dev Take an array of arbitrary values the size of the token set without BPT, and insert the given
     * bptAmount at the bptIndex location.
     *
     * The caller is responsible for ensuring the `amounts` input array is sized properly; this function
     * performs no checks.
     */
    function _addBptItem(uint256[] memory amounts, uint256 bptAmount)
        internal
        view
        returns (uint256[] memory registeredTokenAmounts)
    {
        registeredTokenAmounts = new uint256[](amounts.length + 1);
        for (uint256 i = 0; i < registeredTokenAmounts.length; i++) {
            registeredTokenAmounts[i] = i == getBptIndex() ? bptAmount : amounts[i < getBptIndex() ? i : i - 1];
        }
    }

    // Rate Providers

    function _getScalingFactor(uint256 index) internal view returns (uint256) {
        if (index == 0) return _scalingFactor0;
        if (index == 1) return _scalingFactor1;
        if (index == 2) return _scalingFactor2;
        if (index == 3) return _scalingFactor3;
        if (index == 4) return _scalingFactor4;
        if (index == 5) return _scalingFactor5;
        else {
            _revert(Errors.INVALID_TOKEN);
        }
    }

    /**
     * @dev Returns the rate providers configured for each token (in the same order as registered).
     */
    function getRateProviders() external view returns (IRateProvider[] memory) {
        uint256 totalTokens = _getTotalTokens();
        IRateProvider[] memory providers = new IRateProvider[](totalTokens);

        for (uint256 i = 0; i < totalTokens; ++i) {
            providers[i] = _getRateProvider(i);
        }

        return providers;
    }

    function _getRateProvider(uint256 index) internal view returns (IRateProvider) {
        if (index == 0) return _rateProvider0;
        if (index == 1) return _rateProvider1;
        if (index == 2) return _rateProvider2;
        if (index == 3) return _rateProvider3;
        if (index == 4) return _rateProvider4;
        if (index == 5) return _rateProvider5;
        else {
            _revert(Errors.INVALID_TOKEN);
        }
    }

    /**
     * @notice Return true if the token at this index has a rate provider
     */
    function _hasRateProvider(uint256 tokenIndex) internal view returns (bool) {
        return _rateProviderInfoBitmap.decodeBool(_RATE_PROVIDER_FLAGS_OFFSET + tokenIndex);
    }

    /**
     * @notice Return true if all tokens are exempt from yield fees.
     */
    function _areAllTokensExempt() internal view returns (bool) {
        return _allTokensExempt;
    }

    /**
     * @notice Return true if no tokens are exempt from yield fees.
     */
    function _areNoTokensExempt() internal view returns (bool) {
        return _noTokensExempt;
    }

    // Exempt flags

    /**
     * @dev Returns whether the token is exempt from protocol fees on the yield.
     * If the BPT token is passed in (which doesn't make much sense, but shouldn't fail,
     * since it is a valid pool token), the corresponding flag will be false.
     */
    function isTokenExemptFromYieldProtocolFee(IERC20 token) external view returns (bool) {
        return _isTokenExemptFromYieldProtocolFee(_getTokenIndex(token));
    }

    // This assumes the tokenIndex is valid. If it's not, it will just return false.
    function _isTokenExemptFromYieldProtocolFee(uint256 registeredTokenIndex) internal view returns (bool) {
        return _rateProviderInfoBitmap.decodeBool(registeredTokenIndex);
    }

    // Virtual Supply

    /**
     * @dev Returns the number of tokens in circulation.
     *
     * WARNING: in the vast majority of cases this is not a useful value, since it does not include the debt the Pool
     * accrued in the form of unminted BPT for the ProtocolFeesCollector. Look into `getActualSupply()` and how that's
     * different.
     *
     * In other pools, this would be the same as `totalSupply`, but since this pool pre-mints BPT and holds it in the
     * Vault as a token, we need to subtract the Vault's balance to get the total "circulating supply". Both the
     * totalSupply and Vault balance can change. If users join or exit using swaps, some of the preminted BPT are
     * exchanged, so the Vault's balance increases after joins and decreases after exits. If users call the regular
     * joins/exit functions, the totalSupply can change as BPT are minted for joins or burned for exits.
     */
    function _getVirtualSupply(uint256 bptBalance) internal view returns (uint256) {
        // The initial amount of BPT pre-minted is _PREMINTED_TOKEN_BALANCE, and it goes entirely to the pool balance in
        // the vault. So the virtualSupply (the amount of BPT supply in circulation) is defined as:
        // virtualSupply = totalSupply() - _balances[_bptIndex]
        return totalSupply().sub(bptBalance);
    }
}

// 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/openzeppelin/IERC20.sol";
import "@balancer-labs/v2-interfaces/contracts/pool-utils/IRateProvider.sol";

import "@balancer-labs/v2-solidity-utils/contracts/helpers/ERC20Helpers.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/InputHelpers.sol";
import "@balancer-labs/v2-pool-utils/contracts/rates/PriceRateCache.sol";

import "./ComposableStablePoolStorage.sol";

abstract contract ComposableStablePoolRates is ComposableStablePoolStorage {
    using PriceRateCache for bytes32;
    using FixedPoint for uint256;

    struct RatesParams {
        IERC20[] tokens;
        IRateProvider[] rateProviders;
        uint256[] tokenRateCacheDurations;
    }

    // Token rate caches are used to avoid querying the price rate for a token every time we need to work with it.
    // The "old rate" field is used for precise protocol fee calculation, to ensure that token yield is only
    // "taxed" once. The data structure is as follows:
    //
    // [ expires | duration | old rate | current rate ]
    // [ uint32  |  uint32  |  uint96  |   uint96     ]

    // Since we never need just one cache but all of them at once, instead of making the mapping go from token address
    // to cache, we go from token index (including BPT), i.e. an array. We use a mapping however instead of a native
    // array to skip the extra read associated with the out-of-bounds check, as we have cheaper ways to guarantee the
    // indices are valid.
    mapping(uint256 => bytes32) internal _tokenRateCaches;

    event TokenRateCacheUpdated(uint256 indexed tokenIndex, uint256 rate);
    event TokenRateProviderSet(uint256 indexed tokenIndex, IRateProvider indexed provider, uint256 cacheDuration);

    constructor(RatesParams memory rateParams) {
        InputHelpers.ensureInputLengthMatch(
            rateParams.tokens.length,
            rateParams.rateProviders.length,
            rateParams.tokenRateCacheDurations.length
        );

        IERC20[] memory registeredTokens = _insertSorted(rateParams.tokens, IERC20(this));
        uint256 bptIndex;
        for (
            bptIndex = registeredTokens.length - 1;
            bptIndex > 0 && registeredTokens[bptIndex] > IERC20(this);
            bptIndex--
        ) {
            // solhint-disable-previous-line no-empty-blocks
        }

        uint256 skipBpt = 0;
        for (uint256 i = 0; i < rateParams.tokens.length; i++) {
            if (i == bptIndex) {
                skipBpt = 1;
            }

            uint256 k = i + skipBpt;
            if (rateParams.rateProviders[i] != IRateProvider(0)) {
                _updateTokenRateCache(k, rateParams.rateProviders[i], rateParams.tokenRateCacheDurations[i]);

                emit TokenRateProviderSet(k, rateParams.rateProviders[i], rateParams.tokenRateCacheDurations[i]);

                // Initialize the old rates as well, in case they are referenced before the first join.
                _updateOldRate(k);
            }
        }
    }

    /**
     * @dev Updates the old rate for the token at `index` (including BPT). Assumes `index` is valid.
     */
    function _updateOldRate(uint256 index) internal {
        bytes32 cache = _tokenRateCaches[index];
        _tokenRateCaches[index] = cache.updateOldRate();
    }

    /**
     * @dev Returns the rate for a given token. All token rates are fixed-point values with 18 decimals.
     * If there is no rate provider for the provided token, it returns FixedPoint.ONE.
     */
    function getTokenRate(IERC20 token) external view returns (uint256) {
        return _getTokenRate(_getTokenIndex(token));
    }

    function _getTokenRate(uint256 index) internal view virtual returns (uint256) {
        // We optimize for the scenario where all tokens have rate providers, except the BPT (which never has a rate
        // provider). Therefore, we return early if `token` is the BPT, and otherwise optimistically read the cache
        // expecting that it will not be empty (instead of e.g. fetching the provider to avoid a cache read, since
        // we don't need the provider at all).

        if (index == getBptIndex()) {
            return FixedPoint.ONE;
        }

        bytes32 tokenRateCache = _tokenRateCaches[index];
        return tokenRateCache == bytes32(0) ? FixedPoint.ONE : tokenRateCache.getCurrentRate();
    }

    /**
     * @dev Returns the cached value for token's rate. Reverts if the token doesn't belong to the pool or has no rate
     * provider.
     */
    function getTokenRateCache(IERC20 token)
        external
        view
        returns (
            uint256 rate,
            uint256 oldRate,
            uint256 duration,
            uint256 expires
        )
    {
        bytes32 cache = _tokenRateCaches[_getTokenIndex(token)];

        // A zero cache indicates that the token doesn't have a rate provider associated with it.
        _require(cache != bytes32(0), Errors.TOKEN_DOES_NOT_HAVE_RATE_PROVIDER);

        rate = cache.getCurrentRate();
        oldRate = cache.getOldRate();
        (duration, expires) = cache.getTimestamps();
    }

    /**
     * @dev Sets a new duration for a token rate cache. It reverts if there was no rate provider set initially.
     * Note this function also updates the current cached value.
     * @param duration Number of seconds until the current token rate is fetched again.
     */
    function setTokenRateCacheDuration(IERC20 token, uint256 duration) external authenticate {
        uint256 index = _getTokenIndex(token);
        IRateProvider provider = _getRateProvider(index);
        _require(address(provider) != address(0), Errors.TOKEN_DOES_NOT_HAVE_RATE_PROVIDER);
        _updateTokenRateCache(index, provider, duration);
        emit TokenRateProviderSet(index, provider, duration);
    }

    /**
     * @dev Forces a rate cache hit for a token.
     * It will revert if the requested token does not have an associated rate provider.
     */
    function updateTokenRateCache(IERC20 token) external {
        uint256 index = _getTokenIndex(token);

        IRateProvider provider = _getRateProvider(index);
        _require(address(provider) != address(0), Errors.TOKEN_DOES_NOT_HAVE_RATE_PROVIDER);
        uint256 duration = _tokenRateCaches[index].getDuration();
        _updateTokenRateCache(index, provider, duration);
    }

    /**
     * @dev Internal function to update a token rate cache for a known provider and duration.
     * It trusts the given values, and does not perform any checks.
     */
    function _updateTokenRateCache(
        uint256 index,
        IRateProvider provider,
        uint256 duration
    ) internal virtual {
        uint256 rate = provider.getRate();
        bytes32 cache = _tokenRateCaches[index];

        _tokenRateCaches[index] = cache.updateRateAndDuration(rate, duration);

        emit TokenRateCacheUpdated(index, rate);
    }

    /**
     * @dev Caches the rates of all tokens if necessary
     */
    function _cacheTokenRatesIfNecessary() internal {
        uint256 totalTokens = _getTotalTokens();
        for (uint256 i = 0; i < totalTokens; ++i) {
            _cacheTokenRateIfNecessary(i);
        }
    }

    /**
     * @dev Caches the rate for a token if necessary. It ignores the call if there is no provider set.
     */
    function _cacheTokenRateIfNecessary(uint256 index) internal {
        // We optimize for the scenario where all tokens have rate providers, except the BPT (which never has a rate
        // provider). Therefore, we return early if token is BPT, and otherwise optimistically read the cache expecting
        // that it will not be empty (instead of e.g. fetching the provider to avoid a cache read in situations where
        // we might not need the provider if the cache is still valid).

        if (index == getBptIndex()) return;

        bytes32 cache = _tokenRateCaches[index];
        if (cache != bytes32(0)) {
            (uint256 duration, uint256 expires) = cache.getTimestamps();
            if (block.timestamp > expires) {
                // solhint-disable-previous-line not-rely-on-time
                _updateTokenRateCache(index, _getRateProvider(index), duration);
            }
        }
    }

    // To compute the yield protocol fees, we need the oldRate for all tokens, even if the exempt flag is not set.
    // We do need to ensure the token has a rate provider before updating; otherwise it will not be in the cache.
    function _updateOldRates() internal {
        uint256 totalTokens = _getTotalTokens();
        for (uint256 i = 0; i < totalTokens; ++i) {
            if (_hasRateProvider(i)) _updateOldRate(i);
        }
    }

    /**
     * @dev Apply the token ratios to a set of balances, optionally adjusting for exempt yield tokens.
     * The `balances` array is assumed to not include BPT to ensure that token indices align.
     */
    function _getAdjustedBalances(uint256[] memory balances, bool ignoreExemptFlags)
        internal
        view
        returns (uint256[] memory)
    {
        uint256 totalTokensWithoutBpt = balances.length;
        uint256[] memory adjustedBalances = new uint256[](totalTokensWithoutBpt);

        for (uint256 i = 0; i < totalTokensWithoutBpt; ++i) {
            uint256 skipBptIndex = i >= getBptIndex() ? i + 1 : i;
            adjustedBalances[i] = _isTokenExemptFromYieldProtocolFee(skipBptIndex) ||
                (ignoreExemptFlags && _hasRateProvider(skipBptIndex))
                ? _adjustedBalance(balances[i], _tokenRateCaches[skipBptIndex])
                : balances[i];
        }

        return adjustedBalances;
    }

    // Compute balance * oldRate/currentRate, doing division last to minimize rounding error.
    function _adjustedBalance(uint256 balance, bytes32 cache) private pure returns (uint256) {
        return Math.divDown(Math.mul(balance, cache.getOldRate()), cache.getCurrentRate());
    }

    // Scaling Factors

    /**
     * @dev Overrides scaling factor getter to compute the tokens' rates.
     */
    function _scalingFactors() internal view virtual override returns (uint256[] memory) {
        // There is no need to check the arrays length since both are based on `_getTotalTokens`
        uint256 totalTokens = _getTotalTokens();
        uint256[] memory scalingFactors = new uint256[](totalTokens);

        for (uint256 i = 0; i < totalTokens; ++i) {
            scalingFactors[i] = _getScalingFactor(i).mulDown(_getTokenRate(i));
        }

        return scalingFactors;
    }

    /**
     * @dev Overrides only owner action to allow setting the cache duration for the token rates
     */
    function _isOwnerOnlyAction(bytes32 actionId) internal view virtual override returns (bool) {
        return (actionId == getActionId(this.setTokenRateCacheDuration.selector)) || super._isOwnerOnlyAction(actionId);
    }
}

// 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 "@balancer-labs/v2-solidity-utils/contracts/math/FixedPoint.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/WordCodec.sol";
import "@balancer-labs/v2-pool-utils/contracts/ProtocolFeeCache.sol";

import "./ComposableStablePoolStorage.sol";
import "./ComposableStablePoolRates.sol";
import "./StableMath.sol";

abstract contract ComposableStablePoolProtocolFees is
    ComposableStablePoolStorage,
    ComposableStablePoolRates,
    ProtocolFeeCache
{
    using FixedPoint for uint256;
    using WordCodec for bytes32;

    // To track protocol fees, we measure and store the value of the invariant after every join and exit.
    // All invariant growth that happens between join and exit events is due to swap fees and yield.
    // For selected tokens, we exclude the yield portion from the computation.
    // Because the invariant depends on the amplification parameter, and this value may change over time, we should only
    // compare invariants that were computed using the same value. We therefore store both values together.
    //
    // These values reside in the same storage slot. The amplification factor is bound by _MAX_AMP * _AMP_PRECISION, or
    // 5e6, which fits in 23 bits. We use all remaining bits for the invariant: this is more than enough, as the
    // invariant is proportional to the total supply, which is capped at 112 bits.
    // The data structure is as follows:
    //
    // [ last join-exit amplification  | last post join-exit invariant ]
    // [           23 bits             |            233 bits           ]
    bytes32 private _lastJoinExitData;

    uint256 private constant _LAST_POST_JOIN_EXIT_INVARIANT_OFFSET = 0;
    uint256 private constant _LAST_POST_JOIN_EXIT_INVARIANT_SIZE = 233;
    uint256 private constant _LAST_JOIN_EXIT_AMPLIFICATION_OFFSET = _LAST_POST_JOIN_EXIT_INVARIANT_OFFSET +
        _LAST_POST_JOIN_EXIT_INVARIANT_SIZE;

    uint256 private constant _LAST_JOIN_EXIT_AMPLIFICATION_SIZE = 23;

    /**
     * @dev Calculates due protocol fees originating from accumulated swap fees and yield of non-exempt tokens, pays
     * them by minting BPT, and returns the actual supply and current balances.
     *
     * We also return the current invariant computed using the amplification factor at the last join or exit, which can
     * be useful to skip computations in scenarios where the amplification factor is not changing.
     */
    function _payProtocolFeesBeforeJoinExit(
        uint256[] memory registeredBalances,
        uint256 lastJoinExitAmp,
        uint256 lastPostJoinExitInvariant
    )
        internal
        returns (
            uint256,
            uint256[] memory,
            uint256
        )
    {
        (uint256 virtualSupply, uint256[] memory balances) = _dropBptItemFromBalances(registeredBalances);

        // First, we'll compute what percentage of the Pool the protocol should own due to charging protocol fees on
        // swap fees and yield.
        (
            uint256 expectedProtocolOwnershipPercentage,
            uint256 currentInvariantWithLastJoinExitAmp
        ) = _getProtocolPoolOwnershipPercentage(balances, lastJoinExitAmp, lastPostJoinExitInvariant);

        // Now that we know what percentage of the Pool's current value the protocol should own, we can compute how
        // much BPT we need to mint to get to this state. Since we're going to mint BPT for the protocol, the value
        // of each BPT is going to be reduced as all LPs get diluted.
        uint256 protocolFeeAmount = _calculateAdjustedProtocolFeeAmount(
            virtualSupply,
            expectedProtocolOwnershipPercentage
        );

        if (protocolFeeAmount > 0) {
            _payProtocolFees(protocolFeeAmount);
        }

        // We pay fees before a join or exit to ensure the pool is debt-free. This increases the virtual supply (making
        // it match the actual supply).
        //
        // For this addition to overflow, `totalSupply` would also have already overflowed.
        return (virtualSupply + protocolFeeAmount, balances, currentInvariantWithLastJoinExitAmp);
    }

    function _getProtocolPoolOwnershipPercentage(
        uint256[] memory balances,
        uint256 lastJoinExitAmp,
        uint256 lastPostJoinExitInvariant
    ) internal view returns (uint256, uint256) {
        // We compute three invariants, adjusting the balances of tokens that have rate providers by undoing the current
        // rate adjustment and then applying the old rate. This is equivalent to multiplying by old rate / current rate.
        //
        // In all cases we compute invariants with the last join-exit amplification factor, so that changes to the
        // amplification are not translated into changes to the invariant. Since amplification factor changes are both
        // infrequent and slow, they should have little effect on the pool balances, making this a very good
        // approximation.
        //
        // With this technique we obtain an invariant that does not include yield at all, meaning any growth will be due
        // exclusively to swap fees. We call this the 'swap fee growth invariant'.
        // A second invariant will exclude the yield of exempt tokens, and therefore include both swap fees and
        // non-exempt yield. This is called the 'non exempt growth invariant'.
        // Finally, a third invariant includes the yield of all tokens by using only the current rates. We call this the
        // 'total growth invariant', since it includes both swap fee growth, non-exempt yield growth and exempt yield
        // growth. If the last join-exit amplification equals the current one, this invariant equals the current
        // invariant.

        (
            uint256 swapFeeGrowthInvariant,
            uint256 totalNonExemptGrowthInvariant,
            uint256 totalGrowthInvariant
        ) = _getGrowthInvariants(balances, lastJoinExitAmp);

        // By comparing the invariant increase attributable to each source of growth to the total growth invariant,
        // we can calculate how much of the current Pool value originates from that source, and then apply the
        // corresponding protocol fee percentage to that amount.

        // We have two sources of growth: swap fees, and non-exempt yield. As we illustrate graphically below:
        //
        // growth due to swap fees        = (swap fee growth invariant - last post join-exit invariant)
        // growth due to non-exempt yield = (non-exempt growth invariant - swap fee growth invariant)
        //
        // These can be converted to additive percentages by normalizing against the total growth invariant value:
        // growth due to swap fees / total growth invariant = % pool ownership due from swap fees
        // growth due to non-exempt yield / total growth invariant = % pool ownership due from non-exempt yield
        //
        //   ┌───────────────────────┐ ──┐
        //   │  exempt yield         │   │  total growth invariant
        //   ├───────────────────────┤   │ ──┐
        //   │  non-exempt yield     │   │   │  non-exempt growth invariant
        //   ├───────────────────────┤   │   │ ──┐
        //   │  swap fees            │   │   │   │  swap fee growth invariant
        //   ├───────────────────────┤   │   │   │ ──┐
        //   │   original value      │   │   │   │   │  last post join-exit invariant
        //   └───────────────────────┘ ──┘ ──┘ ──┘ ──┘
        //
        // Each invariant should be larger than its precedessor. In case any rounding error results in them being
        // smaller, we adjust the subtraction to equal 0.

        // Note: in the unexpected scenario where the rates of the tokens shrink over time instead of growing (i.e. if
        // the yield is negative), the non-exempt growth invariant might actually be *smaller* than the swap fee growth
        // invariant, and the total growth invariant might be *smaller* than the non-exempt growth invariant. Depending
        // on the order in which swaps, joins/exits and rate changes happen, as well as their relative magnitudes, it is
        // possible for the Pool to either pay more or less protocol fees than it should.
        // Due to the complexity that handling all of these cases would introduce, this behavior is considered out of
        // scope, and is expected to be handled on a case-by-case basis if the token rates were to ever decrease (which
        // would also mean that the Pool value has dropped).

        uint256 swapFeeGrowthInvariantDelta = (swapFeeGrowthInvariant > lastPostJoinExitInvariant)
            ? swapFeeGrowthInvariant - lastPostJoinExitInvariant
            : 0;
        uint256 nonExemptYieldGrowthInvariantDelta = (totalNonExemptGrowthInvariant > swapFeeGrowthInvariant)
            ? totalNonExemptGrowthInvariant - swapFeeGrowthInvariant
            : 0;

        // We can now derive what percentage of the Pool's total value each invariant delta represents by dividing by
        // the total growth invariant. These values, multiplied by the protocol fee percentage for each growth type,
        // represent the percentage of Pool ownership the protocol should have due to each source.

        uint256 protocolSwapFeePercentage = swapFeeGrowthInvariantDelta.divDown(totalGrowthInvariant).mulDown(
            getProtocolFeePercentageCache(ProtocolFeeType.SWAP)
        );

        uint256 protocolYieldPercentage = nonExemptYieldGrowthInvariantDelta.divDown(totalGrowthInvariant).mulDown(
            getProtocolFeePercentageCache(ProtocolFeeType.YIELD)
        );

        // These percentages can then be simply added to compute the total protocol Pool ownership percentage.
        // This is naturally bounded above by FixedPoint.ONE so this addition cannot overflow.
        return (protocolSwapFeePercentage + protocolYieldPercentage, totalGrowthInvariant);
    }

    function _getGrowthInvariants(uint256[] memory balances, uint256 lastJoinExitAmp)
        internal
        view
        returns (
            uint256 swapFeeGrowthInvariant,
            uint256 totalNonExemptGrowthInvariant,
            uint256 totalGrowthInvariant
        )
    {
        // We always calculate the swap fee growth invariant, since we cannot easily know whether swap fees have
        // accumulated or not.

        swapFeeGrowthInvariant = StableMath._calculateInvariant(
            lastJoinExitAmp,
            _getAdjustedBalances(balances, true) // Adjust all balances
        );

        // For the other invariants, we can potentially skip some work. In the edge cases where none or all of the
        // tokens are exempt from yield, there's one fewer invariant to compute.

        if (_areNoTokensExempt()) {
            // If there are no tokens with fee-exempt yield, then the total non-exempt growth will equal the total
            // growth: all yield growth is non-exempt. There's also no point in adjusting balances, since we
            // already know none are exempt.

            totalNonExemptGrowthInvariant = StableMath._calculateInvariant(lastJoinExitAmp, balances);
            totalGrowthInvariant = totalNonExemptGrowthInvariant;
        } else if (_areAllTokensExempt()) {
            // If no tokens are charged fees on yield, then the non-exempt growth is equal to the swap fee growth - no
            // yield fees will be collected.

            totalNonExemptGrowthInvariant = swapFeeGrowthInvariant;
            totalGrowthInvariant = StableMath._calculateInvariant(lastJoinExitAmp, balances);
        } else {
            // In the general case, we need to calculate two invariants: one with some adjusted balances, and one with
            // the current balances.

            totalNonExemptGrowthInvariant = StableMath._calculateInvariant(
                lastJoinExitAmp,
                _getAdjustedBalances(balances, false) // Only adjust non-exempt balances
            );

            totalGrowthInvariant = StableMath._calculateInvariant(lastJoinExitAmp, balances);
        }
    }

    /**
     * @dev Store the latest invariant based on the adjusted balances after the join or exit, using current rates.
     * Also cache the amp factor, so that the invariant is not affected by amp updates between joins and exits.
     *
     * Pay protocol fees due on any current join or exit swap.
     */
    function _updateInvariantAfterJoinExit(
        uint256 currentAmp,
        uint256[] memory balances,
        uint256 preJoinExitInvariant,
        uint256 preJoinExitSupply,
        uint256 postJoinExitSupply
    ) internal {
        uint256 postJoinExitInvariant = StableMath._calculateInvariant(currentAmp, balances);

        // Compute the growth ratio between the pre- and post-join/exit balances.
        // Note that the pre-join/exit invariant is *not* the invariant from the last join,
        // but computed from the balances before this particular join/exit.

        // `_payProtocolFeesBeforeJoinExit` paid protocol fees accumulated between the previous and current
        // join or exit, while this code pays any protocol fees due on the current join or exit.
        // The amp and rates are constant during a single transaction, so it doesn't matter if there
        // is an ongoing amp change, and we can ignore yield.

        // Joins and exits are symmetrical; for simplicity, we consider a join, where the invariant and supply
        // both increase.

        // |-------------------------|-- postJoinExitInvariant
        // |   increase from fees    |
        // |-------------------------|-- original invariant * supply growth ratio (fee-less invariant)
        // |                         |
        // | increase from balances  |
        // |-------------------------|-- preJoinExitInvariant
        // |                         |
        // |                         |  |------------------|-- postJoinExitSupply
        // |                         |  |    BPT minted    |
        // |                         |  |------------------|-- preJoinExitSupply
        // |   original invariant    |  |  original supply |
        // |_________________________|  |__________________|
        //
        // If the join is proportional, the invariant and supply will likewise increase proportionally,
        // so the growth ratios (postJoinExit / preJoinExit) will be equal. In this case, we do not charge
        // any protocol fees.
        //
        // If the join is non-proportional, the supply increase will be proportionally less than the invariant increase,
        // since the BPT minted will be based on fewer tokens (because swap fees are not included). So the supply growth
        // is due entirely to the balance changes, while the invariant growth also includes swap fees.
        //
        // To isolate the amount of increase by fees then, we multiply the original invariant by the supply growth
        // ratio to get the "feeless invariant". The difference between the final invariant and this value is then
        // the amount of the invariant due to fees, which we convert to a percentage by normalizing against the
        // final (postJoinExit) invariant.
        //
        // Compute the portion of the invariant increase due to fees
        uint256 supplyGrowthRatio = postJoinExitSupply.divDown(preJoinExitSupply);
        uint256 feelessInvariant = preJoinExitInvariant.mulDown(supplyGrowthRatio);

        // The postJoinExitInvariant should always be greater than the feelessInvariant (since the invariant and total
        // supply move proportionally outside of fees, which the postJoinInvariant includes and the feelessInvariant
        // does not). However, in the unexpected case in which due to rounding errors this is not true, we simply skip
        // further computation of protocol fees.
        if (postJoinExitInvariant > feelessInvariant) {
            uint256 invariantDeltaFromFees = postJoinExitInvariant - feelessInvariant;

            // To convert to a percentage of pool ownership, multiply by the rate,
            // then normalize against the final invariant
            uint256 protocolOwnershipPercentage = Math.divDown(
                Math.mul(invariantDeltaFromFees, getProtocolFeePercentageCache(ProtocolFeeType.SWAP)),
                postJoinExitInvariant
            );

            if (protocolOwnershipPercentage > 0) {
                uint256 protocolFeeAmount = _calculateAdjustedProtocolFeeAmount(
                    postJoinExitSupply,
                    protocolOwnershipPercentage
                );

                _payProtocolFees(protocolFeeAmount);
            }
        }

        _updatePostJoinExit(currentAmp, postJoinExitInvariant);
    }

    /**
     * @dev Update the stored values of the amp and final post-join/exit invariant, to reset the basis for protocol
     * swap fees. Also copy the current rates to the old rates, to establish the new protocol yield basis for protocol
     * yield fees.
     */
    function _updatePostJoinExit(uint256 currentAmp, uint256 postJoinExitInvariant) internal {
        _lastJoinExitData =
            WordCodec.encodeUint(currentAmp, _LAST_JOIN_EXIT_AMPLIFICATION_OFFSET, _LAST_JOIN_EXIT_AMPLIFICATION_SIZE) |
            WordCodec.encodeUint(
                postJoinExitInvariant,
                _LAST_POST_JOIN_EXIT_INVARIANT_OFFSET,
                _LAST_POST_JOIN_EXIT_INVARIANT_SIZE
            );

        _updateOldRates();
    }

    /**
     * @dev Adjust a protocol fee percentage calculated before minting, to the equivalent value after minting.
     */
    function _calculateAdjustedProtocolFeeAmount(uint256 supply, uint256 basePercentage)
        internal
        pure
        returns (uint256)
    {
        // Since this fee amount will be minted as BPT, which increases the total supply, we need to mint
        // slightly more so that it reflects this percentage of the total supply after minting.
        //
        // The percentage of the Pool the protocol will own after minting is given by:
        // `protocol percentage = to mint / (current supply + to mint)`.
        // Solving for `to mint`, we arrive at:
        // `to mint = current supply * protocol percentage / (1 - protocol percentage)`.
        //
        return supply.mulDown(basePercentage).divDown(basePercentage.complement());
    }

    /**
     * @notice Return the amplification factor and invariant as of the most recent join or exit (including BPT swaps)
     */
    function getLastJoinExitData()
        public
        view
        returns (uint256 lastJoinExitAmplification, uint256 lastPostJoinExitInvariant)
    {
        bytes32 rawData = _lastJoinExitData;

        lastJoinExitAmplification = rawData.decodeUint(
            _LAST_JOIN_EXIT_AMPLIFICATION_OFFSET,
            _LAST_JOIN_EXIT_AMPLIFICATION_SIZE
        );

        lastPostJoinExitInvariant = rawData.decodeUint(
            _LAST_POST_JOIN_EXIT_INVARIANT_OFFSET,
            _LAST_POST_JOIN_EXIT_INVARIANT_SIZE
        );
    }

    /**
     * @dev Inheritance rules still require us to override this in the most derived contract, even though
     * it only calls super.
     */
    function _isOwnerOnlyAction(bytes32 actionId)
        internal
        view
        virtual
        override(
            // Our inheritance pattern creates a small diamond that requires explicitly listing the parents here.
            // Each parent calls the `super` version, so linearization ensures all implementations are called.
            BasePool,
            BasePoolAuthorization,
            ComposableStablePoolRates
        )
        returns (bool)
    {
        return super._isOwnerOnlyAction(actionId);
    }
}

// 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 "@balancer-labs/v2-pool-utils/contracts/BasePoolAuthorization.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/WordCodec.sol";

import "./StableMath.sol";

abstract contract StablePoolAmplification is BasePoolAuthorization {
    using WordCodec for bytes32;

    // This contract uses timestamps to slowly update its Amplification parameter over time. These changes must occur
    // over a minimum time period much larger than the blocktime, making timestamp manipulation a non-issue.
    // solhint-disable not-rely-on-time

    // Amplification factor changes must happen over a minimum period of one day, and can at most divide or multiply the
    // current value by 2 every day.
    // WARNING: this only limits *a single* amplification change to have a maximum rate of change of twice the original
    // value daily. It is possible to perform multiple amplification changes in sequence to increase this value more
    // rapidly: for example, by doubling the value every day it can increase by a factor of 8 over three days (2^3).
    uint256 private constant _MIN_UPDATE_TIME = 1 days;
    uint256 private constant _MAX_AMP_UPDATE_DAILY_RATE = 2;

    // The amplification data structure is as follows:
    // [  64 bits |   64 bits  |  64 bits  |   64 bits   ]
    // [ end time | start time | end value | start value ]
    // |MSB                                           LSB|

    uint256 private constant _AMP_START_VALUE_OFFSET = 0;
    uint256 private constant _AMP_END_VALUE_OFFSET = 64;
    uint256 private constant _AMP_START_TIME_OFFSET = 128;
    uint256 private constant _AMP_END_TIME_OFFSET = 192;

    uint256 private constant _AMP_VALUE_BIT_LENGTH = 64;
    uint256 private constant _AMP_TIMESTAMP_BIT_LENGTH = 64;

    bytes32 private _packedAmplificationData;

    event AmpUpdateStarted(uint256 startValue, uint256 endValue, uint256 startTime, uint256 endTime);
    event AmpUpdateStopped(uint256 currentValue);

    constructor(uint256 amplificationParameter) {
        _require(amplificationParameter >= StableMath._MIN_AMP, Errors.MIN_AMP);
        _require(amplificationParameter <= StableMath._MAX_AMP, Errors.MAX_AMP);

        uint256 initialAmp = Math.mul(amplificationParameter, StableMath._AMP_PRECISION);
        _setAmplificationData(initialAmp);
    }

    function getAmplificationParameter()
        external
        view
        returns (
            uint256 value,
            bool isUpdating,
            uint256 precision
        )
    {
        (value, isUpdating) = _getAmplificationParameter();
        precision = StableMath._AMP_PRECISION;
    }

    // Return the current amp value, which will be an interpolation if there is an ongoing amp update.
    // Also return a flag indicating whether there is an ongoing update.
    function _getAmplificationParameter() internal view returns (uint256 value, bool isUpdating) {
        (uint256 startValue, uint256 endValue, uint256 startTime, uint256 endTime) = _getAmplificationData();

        // Note that block.timestamp >= startTime, since startTime is set to the current time when an update starts

        if (block.timestamp < endTime) {
            isUpdating = true;

            // We can skip checked arithmetic as:
            //  - block.timestamp is always larger or equal to startTime
            //  - endTime is always larger than startTime
            //  - the value delta is bounded by the largest amplification parameter, which never causes the
            //    multiplication to overflow.
            // This also means that the following computation will never revert nor yield invalid results.
            if (endValue > startValue) {
                value = startValue + ((endValue - startValue) * (block.timestamp - startTime)) / (endTime - startTime);
            } else {
                value = startValue - ((startValue - endValue) * (block.timestamp - startTime)) / (endTime - startTime);
            }
        } else {
            isUpdating = false;
            value = endValue;
        }
    }

    // Unpack and return all amplification-related parameters.
    function _getAmplificationData()
        private
        view
        returns (
            uint256 startValue,
            uint256 endValue,
            uint256 startTime,
            uint256 endTime
        )
    {
        startValue = _packedAmplificationData.decodeUint(_AMP_START_VALUE_OFFSET, _AMP_VALUE_BIT_LENGTH);
        endValue = _packedAmplificationData.decodeUint(_AMP_END_VALUE_OFFSET, _AMP_VALUE_BIT_LENGTH);
        startTime = _packedAmplificationData.decodeUint(_AMP_START_TIME_OFFSET, _AMP_TIMESTAMP_BIT_LENGTH);
        endTime = _packedAmplificationData.decodeUint(_AMP_END_TIME_OFFSET, _AMP_TIMESTAMP_BIT_LENGTH);
    }

    /**
     * @dev Begin changing the amplification parameter to `rawEndValue` over time. The value will change linearly until
     * `endTime` is reached, when it will be `rawEndValue`.
     *
     * NOTE: Internally, the amplification parameter is represented using higher precision. The values returned by
     * `getAmplificationParameter` have to be corrected to account for this when comparing to `rawEndValue`.
     */
    function startAmplificationParameterUpdate(uint256 rawEndValue, uint256 endTime) external authenticate {
        _require(rawEndValue >= StableMath._MIN_AMP, Errors.MIN_AMP);
        _require(rawEndValue <= StableMath._MAX_AMP, Errors.MAX_AMP);

        uint256 duration = Math.sub(endTime, block.timestamp);
        _require(duration >= _MIN_UPDATE_TIME, Errors.AMP_END_TIME_TOO_CLOSE);

        (uint256 currentValue, bool isUpdating) = _getAmplificationParameter();
        _require(!isUpdating, Errors.AMP_ONGOING_UPDATE);

        uint256 endValue = Math.mul(rawEndValue, StableMath._AMP_PRECISION);

        // daily rate = (endValue / currentValue) / duration * 1 day
        // We perform all multiplications first to not reduce precision, and round the division up as we want to avoid
        // large rates. Note that these are regular integer multiplications and divisions, not fixed point.
        uint256 dailyRate = endValue > currentValue
            ? Math.divUp(Math.mul(1 days, endValue), Math.mul(currentValue, duration))
            : Math.divUp(Math.mul(1 days, currentValue), Math.mul(endValue, duration));
        _require(dailyRate <= _MAX_AMP_UPDATE_DAILY_RATE, Errors.AMP_RATE_TOO_HIGH);

        _setAmplificationData(currentValue, endValue, block.timestamp, endTime);
    }

    /**
     * @dev Stops the amplification parameter change process, keeping the current value.
     */
    function stopAmplificationParameterUpdate() external authenticate {
        (uint256 currentValue, bool isUpdating) = _getAmplificationParameter();
        _require(isUpdating, Errors.AMP_NO_ONGOING_UPDATE);

        _setAmplificationData(currentValue);
    }

    function _setAmplificationData(uint256 value) private {
        _storeAmplificationData(value, value, block.timestamp, block.timestamp);
        emit AmpUpdateStopped(value);
    }

    function _setAmplificationData(
        uint256 startValue,
        uint256 endValue,
        uint256 startTime,
        uint256 endTime
    ) private {
        _storeAmplificationData(startValue, endValue, startTime, endTime);
        emit AmpUpdateStarted(startValue, endValue, startTime, endTime);
    }

    function _storeAmplificationData(
        uint256 startValue,
        uint256 endValue,
        uint256 startTime,
        uint256 endTime
    ) private {
        _packedAmplificationData =
            WordCodec.encodeUint(startValue, _AMP_START_VALUE_OFFSET, _AMP_VALUE_BIT_LENGTH) |
            WordCodec.encodeUint(endValue, _AMP_END_VALUE_OFFSET, _AMP_VALUE_BIT_LENGTH) |
            WordCodec.encodeUint(startTime, _AMP_START_TIME_OFFSET, _AMP_TIMESTAMP_BIT_LENGTH) |
            WordCodec.encodeUint(endTime, _AMP_END_TIME_OFFSET, _AMP_TIMESTAMP_BIT_LENGTH);
    }

    // Permissioned functions

    /**
     * @dev Overrides only owner action to allow setting the cache duration for the token rates
     */
    function _isOwnerOnlyAction(bytes32 actionId) internal view virtual override returns (bool) {
        return
            (actionId == getActionId(this.startAmplificationParameterUpdate.selector)) ||
            (actionId == getActionId(this.stopAmplificationParameterUpdate.selector)) ||
            super._isOwnerOnlyAction(actionId);
    }
}

// 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 "@balancer-labs/v2-solidity-utils/contracts/math/FixedPoint.sol";
import "@balancer-labs/v2-solidity-utils/contracts/math/Math.sol";

// These functions start with an underscore, as if they were part of a contract and not a library. At some point this
// should be fixed. Additionally, some variables have non mixed case names (e.g. P_D) that relate to the mathematical
// derivations.
// solhint-disable private-vars-leading-underscore, var-name-mixedcase

library StableMath {
    using FixedPoint for uint256;

    uint256 internal constant _MIN_AMP = 1;
    uint256 internal constant _MAX_AMP = 5000;
    uint256 internal constant _AMP_PRECISION = 1e3;

    uint256 internal constant _MAX_STABLE_TOKENS = 5;

    // Note on unchecked arithmetic:
    // This contract performs a large number of additions, subtractions, multiplications and divisions, often inside
    // loops. Since many of these operations are gas-sensitive (as they happen e.g. during a swap), it is important to
    // not make any unnecessary checks. We rely on a set of invariants to avoid having to use checked arithmetic (the
    // Math library), including:
    //  - the number of tokens is bounded by _MAX_STABLE_TOKENS
    //  - the amplification parameter is bounded by _MAX_AMP * _AMP_PRECISION, which fits in 23 bits
    //  - the token balances are bounded by 2^112 (guaranteed by the Vault) times 1e18 (the maximum scaling factor),
    //    which fits in 172 bits
    //
    // This means e.g. we can safely multiply a balance by the amplification parameter without worrying about overflow.

    // About swap fees on joins and exits:
    // Any join or exit that is not perfectly balanced (e.g. all single token joins or exits) is mathematically
    // equivalent to a perfectly balanced join or  exit followed by a series of swaps. Since these swaps would charge
    // swap fees, it follows that (some) joins and exits should as well.
    // On these operations, we split the token amounts in 'taxable' and 'non-taxable' portions, where the 'taxable' part
    // is the one to which swap fees are applied.

    // Computes the invariant given the current balances, using the Newton-Raphson approximation.
    // The amplification parameter equals: A n^(n-1)
    // See: https://github.com/curvefi/curve-contract/blob/b0bbf77f8f93c9c5f4e415bce9cd71f0cdee960e/contracts/pool-templates/base/SwapTemplateBase.vy#L206
    // solhint-disable-previous-line max-line-length
    function _calculateInvariant(uint256 amplificationParameter, uint256[] memory balances)
        internal
        pure
        returns (uint256)
    {
        /**********************************************************************************************
        // invariant                                                                                 //
        // D = invariant                                                  D^(n+1)                    //
        // A = amplification coefficient      A  n^n S + D = A D n^n + -----------                   //
        // S = sum of balances                                             n^n P                     //
        // P = product of balances                                                                   //
        // n = number of tokens                                                                      //
        **********************************************************************************************/

        // Always round down, to match Vyper's arithmetic (which always truncates).

        uint256 sum = 0; // S in the Curve version
        uint256 numTokens = balances.length;
        for (uint256 i = 0; i < numTokens; i++) {
            sum = sum.add(balances[i]);
        }
        if (sum == 0) {
            return 0;
        }

        uint256 prevInvariant; // Dprev in the Curve version
        uint256 invariant = sum; // D in the Curve version
        uint256 ampTimesTotal = amplificationParameter * numTokens; // Ann in the Curve version

        for (uint256 i = 0; i < 255; i++) {
            uint256 D_P = invariant;

            for (uint256 j = 0; j < numTokens; j++) {
                // (D_P * invariant) / (balances[j] * numTokens)
                D_P = Math.divDown(Math.mul(D_P, invariant), Math.mul(balances[j], numTokens));
            }

            prevInvariant = invariant;

            invariant = Math.divDown(
                Math.mul(
                    // (ampTimesTotal * sum) / AMP_PRECISION + D_P * numTokens
                    (Math.divDown(Math.mul(ampTimesTotal, sum), _AMP_PRECISION).add(Math.mul(D_P, numTokens))),
                    invariant
                ),
                // ((ampTimesTotal - _AMP_PRECISION) * invariant) / _AMP_PRECISION + (numTokens + 1) * D_P
                (
                    Math.divDown(Math.mul((ampTimesTotal - _AMP_PRECISION), invariant), _AMP_PRECISION).add(
                        Math.mul((numTokens + 1), D_P)
                    )
                )
            );

            if (invariant > prevInvariant) {
                if (invariant - prevInvariant <= 1) {
                    return invariant;
                }
            } else if (prevInvariant - invariant <= 1) {
                return invariant;
            }
        }

        _revert(Errors.STABLE_INVARIANT_DIDNT_CONVERGE);
    }

    // Computes how many tokens can be taken out of a pool if `tokenAmountIn` are sent, given the current balances.
    // The amplification parameter equals: A n^(n-1)
    function _calcOutGivenIn(
        uint256 amplificationParameter,
        uint256[] memory balances,
        uint256 tokenIndexIn,
        uint256 tokenIndexOut,
        uint256 tokenAmountIn,
        uint256 invariant
    ) internal pure returns (uint256) {
        /**************************************************************************************************************
        // outGivenIn token x for y - polynomial equation to solve                                                   //
        // ay = amount out to calculate                                                                              //
        // by = balance token out                                                                                    //
        // y = by - ay (finalBalanceOut)                                                                             //
        // D = invariant                                               D                     D^(n+1)                 //
        // A = amplification coefficient               y^2 + ( S - ----------  - D) * y -  ------------- = 0         //
        // n = number of tokens                                    (A * n^n)               A * n^2n * P              //
        // S = sum of final balances but y                                                                           //
        // P = product of final balances but y                                                                       //
        **************************************************************************************************************/

        // Amount out, so we round down overall.
        balances[tokenIndexIn] = balances[tokenIndexIn].add(tokenAmountIn);

        uint256 finalBalanceOut = _getTokenBalanceGivenInvariantAndAllOtherBalances(
            amplificationParameter,
            balances,
            invariant,
            tokenIndexOut
        );

        // No need to use checked arithmetic since `tokenAmountIn` was actually added to the same balance right before
        // calling `_getTokenBalanceGivenInvariantAndAllOtherBalances` which doesn't alter the balances array.
        balances[tokenIndexIn] = balances[tokenIndexIn] - tokenAmountIn;

        return balances[tokenIndexOut].sub(finalBalanceOut).sub(1);
    }

    // Computes how many tokens must be sent to a pool if `tokenAmountOut` are sent given the
    // current balances, using the Newton-Raphson approximation.
    // The amplification parameter equals: A n^(n-1)
    function _calcInGivenOut(
        uint256 amplificationParameter,
        uint256[] memory balances,
        uint256 tokenIndexIn,
        uint256 tokenIndexOut,
        uint256 tokenAmountOut,
        uint256 invariant
    ) internal pure returns (uint256) {
        /**************************************************************************************************************
        // inGivenOut token x for y - polynomial equation to solve                                                   //
        // ax = amount in to calculate                                                                               //
        // bx = balance token in                                                                                     //
        // x = bx + ax (finalBalanceIn)                                                                              //
        // D = invariant                                                D                     D^(n+1)                //
        // A = amplification coefficient               x^2 + ( S - ----------  - D) * x -  ------------- = 0         //
        // n = number of tokens                                     (A * n^n)               A * n^2n * P             //
        // S = sum of final balances but x                                                                           //
        // P = product of final balances but x                                                                       //
        **************************************************************************************************************/

        // Amount in, so we round up overall.
        balances[tokenIndexOut] = balances[tokenIndexOut].sub(tokenAmountOut);

        uint256 finalBalanceIn = _getTokenBalanceGivenInvariantAndAllOtherBalances(
            amplificationParameter,
            balances,
            invariant,
            tokenIndexIn
        );

        // No need to use checked arithmetic since `tokenAmountOut` was actually subtracted from the same balance right
        // before calling `_getTokenBalanceGivenInvariantAndAllOtherBalances` which doesn't alter the balances array.
        balances[tokenIndexOut] = balances[tokenIndexOut] + tokenAmountOut;

        return finalBalanceIn.sub(balances[tokenIndexIn]).add(1);
    }

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

        // First loop calculates the sum of all token balances, which will be used to calculate
        // the current weights of each token, relative to this sum
        uint256 sumBalances = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            sumBalances = sumBalances.add(balances[i]);
        }

        // Calculate the weighted balance ratio without considering fees
        uint256[] memory balanceRatiosWithFee = new uint256[](amountsIn.length);
        // The weighted sum of token balance ratios with fee
        uint256 invariantRatioWithFees = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            uint256 currentWeight = balances[i].divDown(sumBalances);
            balanceRatiosWithFee[i] = balances[i].add(amountsIn[i]).divDown(balances[i]);
            invariantRatioWithFees = invariantRatioWithFees.add(balanceRatiosWithFee[i].mulDown(currentWeight));
        }

        // Second loop calculates new amounts in, taking into account the fee on the percentage excess
        uint256[] memory newBalances = new uint256[](balances.length);
        for (uint256 i = 0; i < balances.length; i++) {
            uint256 amountInWithoutFee;

            // Check if the balance ratio is greater than the ideal ratio to charge fees or not
            if (balanceRatiosWithFee[i] > invariantRatioWithFees) {
                uint256 nonTaxableAmount = balances[i].mulDown(invariantRatioWithFees.sub(FixedPoint.ONE));
                uint256 taxableAmount = amountsIn[i].sub(nonTaxableAmount);
                // No need to use checked arithmetic for the swap fee, it is guaranteed to be lower than 50%
                amountInWithoutFee = nonTaxableAmount.add(taxableAmount.mulDown(FixedPoint.ONE - swapFeePercentage));
            } else {
                amountInWithoutFee = amountsIn[i];
            }

            newBalances[i] = balances[i].add(amountInWithoutFee);
        }

        uint256 newInvariant = _calculateInvariant(amp, newBalances);
        uint256 invariantRatio = newInvariant.divDown(currentInvariant);

        // If the invariant didn't increase for any reason, we simply don't mint BPT
        if (invariantRatio > FixedPoint.ONE) {
            return bptTotalSupply.mulDown(invariantRatio - FixedPoint.ONE);
        } else {
            return 0;
        }
    }

    function _calcTokenInGivenExactBptOut(
        uint256 amp,
        uint256[] memory balances,
        uint256 tokenIndex,
        uint256 bptAmountOut,
        uint256 bptTotalSupply,
        uint256 currentInvariant,
        uint256 swapFeePercentage
    ) internal pure returns (uint256) {
        // Token in, so we round up overall.

        uint256 newInvariant = bptTotalSupply.add(bptAmountOut).divUp(bptTotalSupply).mulUp(currentInvariant);

        // Calculate amount in without fee.
        uint256 newBalanceTokenIndex = _getTokenBalanceGivenInvariantAndAllOtherBalances(
            amp,
            balances,
            newInvariant,
            tokenIndex
        );
        uint256 amountInWithoutFee = newBalanceTokenIndex.sub(balances[tokenIndex]);

        // First calculate the sum of all token balances, which will be used to calculate
        // the current weight of each token
        uint256 sumBalances = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            sumBalances = sumBalances.add(balances[i]);
        }

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

        // No need to use checked arithmetic for the swap fee, it is guaranteed to be lower than 50%
        return nonTaxableAmount.add(taxableAmount.divUp(FixedPoint.ONE - swapFeePercentage));
    }

    /*
    Flow of calculations:
    amountsTokenOut -> amountsOutProportional ->
    amountOutPercentageExcess -> amountOutBeforeFee -> newInvariant -> amountBPTIn
    */
    function _calcBptInGivenExactTokensOut(
        uint256 amp,
        uint256[] memory balances,
        uint256[] memory amountsOut,
        uint256 bptTotalSupply,
        uint256 currentInvariant,
        uint256 swapFeePercentage
    ) internal pure returns (uint256) {
        // BPT in, so we round up overall.

        // First loop calculates the sum of all token balances, which will be used to calculate
        // the current weights of each token relative to this sum
        uint256 sumBalances = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            sumBalances = sumBalances.add(balances[i]);
        }

        // Calculate the weighted balance ratio without considering fees
        uint256[] memory balanceRatiosWithoutFee = new uint256[](amountsOut.length);
        uint256 invariantRatioWithoutFees = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            uint256 currentWeight = balances[i].divUp(sumBalances);
            balanceRatiosWithoutFee[i] = balances[i].sub(amountsOut[i]).divUp(balances[i]);
            invariantRatioWithoutFees = invariantRatioWithoutFees.add(balanceRatiosWithoutFee[i].mulUp(currentWeight));
        }

        // Second loop calculates new amounts in, taking into account the fee on the percentage excess
        uint256[] memory newBalances = new uint256[](balances.length);
        for (uint256 i = 0; i < balances.length; i++) {
            // 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.

            uint256 amountOutWithFee;
            if (invariantRatioWithoutFees > balanceRatiosWithoutFee[i]) {
                uint256 nonTaxableAmount = balances[i].mulDown(invariantRatioWithoutFees.complement());
                uint256 taxableAmount = amountsOut[i].sub(nonTaxableAmount);
                // No need to use checked arithmetic for the swap fee, it is guaranteed to be lower than 50%
                amountOutWithFee = nonTaxableAmount.add(taxableAmount.divUp(FixedPoint.ONE - swapFeePercentage));
            } else {
                amountOutWithFee = amountsOut[i];
            }

            newBalances[i] = balances[i].sub(amountOutWithFee);
        }

        uint256 newInvariant = _calculateInvariant(amp, newBalances);
        uint256 invariantRatio = newInvariant.divDown(currentInvariant);

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

    function _calcTokenOutGivenExactBptIn(
        uint256 amp,
        uint256[] memory balances,
        uint256 tokenIndex,
        uint256 bptAmountIn,
        uint256 bptTotalSupply,
        uint256 currentInvariant,
        uint256 swapFeePercentage
    ) internal pure returns (uint256) {
        // Token out, so we round down overall.

        uint256 newInvariant = bptTotalSupply.sub(bptAmountIn).divUp(bptTotalSupply).mulUp(currentInvariant);

        // Calculate amount out without fee
        uint256 newBalanceTokenIndex = _getTokenBalanceGivenInvariantAndAllOtherBalances(
            amp,
            balances,
            newInvariant,
            tokenIndex
        );
        uint256 amountOutWithoutFee = balances[tokenIndex].sub(newBalanceTokenIndex);

        // First calculate the sum of all token balances, which will be used to calculate
        // the current weight of each token
        uint256 sumBalances = 0;
        for (uint256 i = 0; i < balances.length; i++) {
            sumBalances = sumBalances.add(balances[i]);
        }

        // We can now compute how much excess balance is being withdrawn as a result of the virtual swaps, which result
        // in swap fees.
        uint256 currentWeight = balances[tokenIndex].divDown(sumBalances);
        uint256 taxablePercentage = currentWeight.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);

        // No need to use checked arithmetic for the swap fee, it is guaranteed to be lower than 50%
        return nonTaxableAmount.add(taxableAmount.mulDown(FixedPoint.ONE - swapFeePercentage));
    }

    // This function calculates the balance of a given token (tokenIndex)
    // given all the other balances and the invariant
    function _getTokenBalanceGivenInvariantAndAllOtherBalances(
        uint256 amplificationParameter,
        uint256[] memory balances,
        uint256 invariant,
        uint256 tokenIndex
    ) internal pure returns (uint256) {
        // Rounds result up overall

        uint256 ampTimesTotal = amplificationParameter * balances.length;
        uint256 sum = balances[0];
        uint256 P_D = balances[0] * balances.length;
        for (uint256 j = 1; j < balances.length; j++) {
            P_D = Math.divDown(Math.mul(Math.mul(P_D, balances[j]), balances.length), invariant);
            sum = sum.add(balances[j]);
        }
        // No need to use safe math, based on the loop above `sum` is greater than or equal to `balances[tokenIndex]`
        sum = sum - balances[tokenIndex];

        uint256 inv2 = Math.mul(invariant, invariant);
        // We remove the balance from c by multiplying it
        uint256 c = Math.mul(
            Math.mul(Math.divUp(inv2, Math.mul(ampTimesTotal, P_D)), _AMP_PRECISION),
            balances[tokenIndex]
        );
        uint256 b = sum.add(Math.mul(Math.divDown(invariant, ampTimesTotal), _AMP_PRECISION));

        // We iterate to find the balance
        uint256 prevTokenBalance = 0;
        // We multiply the first iteration outside the loop with the invariant to set the value of the
        // initial approximation.
        uint256 tokenBalance = Math.divUp(inv2.add(c), invariant.add(b));

        for (uint256 i = 0; i < 255; i++) {
            prevTokenBalance = tokenBalance;

            tokenBalance = Math.divUp(
                Math.mul(tokenBalance, tokenBalance).add(c),
                Math.mul(tokenBalance, 2).add(b).sub(invariant)
            );

            if (tokenBalance > prevTokenBalance) {
                if (tokenBalance - prevTokenBalance <= 1) {
                    return tokenBalance;
                }
            } else if (prevTokenBalance - tokenBalance <= 1) {
                return tokenBalance;
            }
        }

        _revert(Errors.STABLE_GET_BALANCE_DIDNT_CONVERGE);
    }
}

// SPDX-License-Identifier: MIT
// Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated
// documentation files (the “Software”), to deal in the Software without restriction, including without limitation the
// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to the following conditions:

// The above copyright notice and this permission notice shall be included in all copies or substantial portions of the
// Software.

// THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE
// WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
// COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

pragma solidity ^0.7.0;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/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 >> 255 == 0, 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 Logarithm (log(arg, base), with signed 18 decimal fixed point base and 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 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 (LN_36_LOWER_BOUND < a && a < LN_36_UPPER_BOUND) {
            return _ln_36(a) / ONE_18;
        } else {
            return _ln(a);
        }
    }

    /**
     * @dev Internal natural logarithm (ln(a)) with signed 18 decimal fixed point argument.
     */
    function _ln(int256 a) private pure returns (int256) {
        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 Intrnal high precision (36 decimal places) natural logarithm (ln(x)) with signed 18 decimal fixed point argument,
     * for x close to one.
     *
     * Should only be used if x is between LN_36_LOWER_BOUND and LN_36_UPPER_BOUND.
     */
    function _ln_36(int256 x) private pure returns (int256) {
        // Since ln(1) = 0, a value of x close to one will yield a very small result, which makes using 36 digits
        // worthwhile.

        // First, we transform x to a 36 digit fixed point value.
        x *= ONE_18;

        // We will use the following Taylor expansion, which converges very rapidly. Let z = (x - 1) / (x + 1).
        // ln(x) = 2 * (z + z^3 / 3 + z^5 / 5 + z^7 / 7 + ... + z^(2 * n + 1) / (2 * n + 1))

        // Recall that 36 digit fixed point division requires multiplying by ONE_36, and multiplication requires
        // division by ONE_36.
        int256 z = ((x - ONE_36) * ONE_36) / (x + ONE_36);
        int256 z_squared = (z * z) / ONE_36;

        // num is the numerator of the series: the z^(2 * n + 1) term
        int256 num = z;

        // seriesSum holds the accumulated sum of each term in the series, starting with the initial z
        int256 seriesSum = num;

        // In each step, the numerator is multiplied by z^2
        num = (num * z_squared) / ONE_36;
        seriesSum += num / 3;

        num = (num * z_squared) / ONE_36;
        seriesSum += num / 5;

        num = (num * z_squared) / ONE_36;
        seriesSum += num / 7;

        num = (num * z_squared) / ONE_36;
        seriesSum += num / 9;

        num = (num * z_squared) / ONE_36;
        seriesSum += num / 11;

        num = (num * z_squared) / ONE_36;
        seriesSum += num / 13;

        num = (num * z_squared) / ONE_36;
        seriesSum += num / 15;

        // 8 Taylor terms are sufficient for 36 decimal precision.

        // All that remains is multiplying by 2 (non fixed point).
        return seriesSum * 2;
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

/**
 * @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;

/**
 * @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;
pragma experimental ABIEncoderV2;

import "./IBasePool.sol";

/**
 * @dev IPools with the General specialization setting should implement this interface.
 *
 * This is called by the Vault when a user calls `IVault.swap` or `IVault.batchSwap` to swap with this Pool.
 * Returns the number of tokens the Pool will grant to the user in a 'given in' swap, or that the user will
 * grant to the pool in a 'given out' swap.
 *
 * This can often be implemented by a `view` function, since many pricing algorithms don't need to track state
 * changes in swaps. However, contracts implementing this in non-view functions should check that the caller is
 * indeed the Vault.
 */
interface IGeneralPool is IBasePool {
    function onSwap(
        SwapRequest memory swapRequest,
        uint256[] memory balances,
        uint256 indexIn,
        uint256 indexOut
    ) external returns (uint256 amount);
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;
pragma experimental ABIEncoderV2;

import "@balancer-labs/v2-interfaces/contracts/pool-utils/IAssetManager.sol";
import "@balancer-labs/v2-interfaces/contracts/vault/IVault.sol";
import "@balancer-labs/v2-interfaces/contracts/vault/IBasePool.sol";

import "@balancer-labs/v2-solidity-utils/contracts/helpers/InputHelpers.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/WordCodec.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/TemporarilyPausable.sol";
import "@balancer-labs/v2-solidity-utils/contracts/openzeppelin/ERC20.sol";
import "@balancer-labs/v2-solidity-utils/contracts/math/FixedPoint.sol";
import "@balancer-labs/v2-solidity-utils/contracts/math/Math.sol";

import "./BalancerPoolToken.sol";
import "./BasePoolAuthorization.sol";
import "./RecoveryMode.sol";

// solhint-disable max-states-count

/**
 * @notice Reference implementation for the base layer of a Pool contract.
 * @dev Reference implementation for the base layer of a Pool contract that manages a single Pool with optional
 * Asset Managers, an admin-controlled swap fee percentage, and an emergency pause mechanism.
 *
 * This Pool pays protocol fees by minting BPT directly to the ProtocolFeeCollector instead of using the
 * `dueProtocolFees` return value. This results in the underlying tokens continuing to provide liquidity
 * for traders, while still keeping gas usage to a minimum since only a single token (the BPT) is transferred.
 *
 * 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, RecoveryMode {
    using WordCodec for bytes32;
    using FixedPoint for uint256;
    using BasePoolUserData for bytes;

    uint256 private constant _MIN_TOKENS = 2;

    uint256 private constant _DEFAULT_MINIMUM_BPT = 1e6;

    // 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% - this fits in 64 bits

    // `_miscData` is a storage slot that can be used to store unrelated pieces of information. All pools store the
    // recovery mode flag and swap fee percentage, but `miscData` can be extended to store more pieces of information.
    // The most signficant bit is reserved for the recovery mode flag, and the swap fee percentage is stored in
    // the next most significant 63 bits, leaving the remaining 192 bits free to store any other information derived
    // pools might need.
    //
    // This slot is preferred for gas-sensitive operations as it is read in all joins, swaps and exits,
    // and therefore warm.

    // [ recovery | swap  fee | available ]
    // [   1 bit  |  63 bits  |  192 bits ]
    // [ MSB                          LSB ]
    bytes32 private _miscData;

    uint256 private constant _SWAP_FEE_PERCENTAGE_OFFSET = 192;
    uint256 private constant _RECOVERY_MODE_BIT_OFFSET = 255;

    // A fee can never be larger than FixedPoint.ONE, which fits in 60 bits, so 63 is more than enough.
    uint256 private constant _SWAP_FEE_PERCENTAGE_BIT_LENGTH = 63;

    bytes32 private immutable _poolId;

    // Note that this value is immutable in the Vault, so we can make it immutable here and save gas
    IProtocolFeesCollector private immutable _protocolFeesCollector;

    event SwapFeePercentageChanged(uint256 swapFeePercentage);

    constructor(
        IVault vault,
        IVault.PoolSpecialization specialization,
        string memory name,
        string memory symbol,
        IERC20[] memory tokens,
        address[] memory assetManagers,
        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, vault)
        BasePoolAuthorization(owner)
        TemporarilyPausable(pauseWindowDuration, bufferPeriodDuration)
    {
        _require(tokens.length >= _MIN_TOKENS, Errors.MIN_TOKENS);
        _require(tokens.length <= _getMaxTokens(), 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);

        vault.registerTokens(poolId, tokens, assetManagers);

        // Set immutable state variables - these cannot be read from during construction
        _poolId = poolId;
        _protocolFeesCollector = vault.getProtocolFeesCollector();
    }

    // Getters / Setters

    /**
     * @notice Return the pool id.
     */
    function getPoolId() public view override returns (bytes32) {
        return _poolId;
    }

    function _getTotalTokens() internal view virtual returns (uint256);

    function _getMaxTokens() internal pure virtual returns (uint256);

    /**
     * @dev Returns the minimum BPT supply. This amount is minted to the zero address during initialization, effectively
     * locking it.
     *
     * This is useful to make sure Pool initialization happens only once, but derived Pools can change this value (even
     * to zero) by overriding this function.
     */
    function _getMinimumBpt() internal pure virtual returns (uint256) {
        return _DEFAULT_MINIMUM_BPT;
    }

    /**
     * @notice Return the current value of the swap fee percentage.
     * @dev This is stored in `_miscData`.
     */
    function getSwapFeePercentage() public view virtual override returns (uint256) {
        return _miscData.decodeUint(_SWAP_FEE_PERCENTAGE_OFFSET, _SWAP_FEE_PERCENTAGE_BIT_LENGTH);
    }

    /**
     * @notice Return the ProtocolFeesCollector contract.
     * @dev This is immutable, and retrieved from the Vault on construction. (It is also immutable in the Vault.)
     */
    function getProtocolFeesCollector() public view returns (IProtocolFeesCollector) {
        return _protocolFeesCollector;
    }

    /**
     * @notice Set the swap fee percentage.
     * @dev This is a permissioned function, and disabled if the pool is paused. The swap fee must be within the
     * bounds set by MIN_SWAP_FEE_PERCENTAGE/MAX_SWAP_FEE_PERCENTAGE. Emits the SwapFeePercentageChanged event.
     */
    function setSwapFeePercentage(uint256 swapFeePercentage) public virtual authenticate whenNotPaused {
        _setSwapFeePercentage(swapFeePercentage);
    }

    function _setSwapFeePercentage(uint256 swapFeePercentage) internal virtual {
        _require(swapFeePercentage >= _getMinSwapFeePercentage(), Errors.MIN_SWAP_FEE_PERCENTAGE);
        _require(swapFeePercentage <= _getMaxSwapFeePercentage(), Errors.MAX_SWAP_FEE_PERCENTAGE);

        _miscData = _miscData.insertUint(
            swapFeePercentage,
            _SWAP_FEE_PERCENTAGE_OFFSET,
            _SWAP_FEE_PERCENTAGE_BIT_LENGTH
        );

        emit SwapFeePercentageChanged(swapFeePercentage);
    }

    function _getMinSwapFeePercentage() internal pure virtual returns (uint256) {
        return _MIN_SWAP_FEE_PERCENTAGE;
    }

    function _getMaxSwapFeePercentage() internal pure virtual returns (uint256) {
        return _MAX_SWAP_FEE_PERCENTAGE;
    }

    /**
     * @notice Returns whether the pool is in Recovery Mode.
     */
    function inRecoveryMode() public view override returns (bool) {
        return _miscData.decodeBool(_RECOVERY_MODE_BIT_OFFSET);
    }

    /**
     * @dev Sets the recoveryMode state, and emits the corresponding event.
     */
    function _setRecoveryMode(bool enabled) internal virtual override {
        _miscData = _miscData.insertBool(enabled, _RECOVERY_MODE_BIT_OFFSET);

        emit RecoveryModeStateChanged(enabled);

        // Some pools need to update their state when leaving recovery mode to ensure proper functioning of the Pool.
        // We do not allow an `_onEnableRecoveryMode()` hook as this may jeopardize the ability to enable Recovery mode.
        if (!enabled) _onDisableRecoveryMode();
    }

    /**
     * @dev Performs any necessary actions on the disabling of Recovery Mode.
     * This is usually to reset any fee collection mechanisms to ensure that they operate correctly going forward.
     */
    function _onDisableRecoveryMode() internal virtual {}

    /**
     * @notice Set the asset manager parameters for the given token.
     * @dev This is a permissioned function, unavailable when the pool is paused.
     * The details of the configuration data are set by each Asset Manager. (For an example, see
     * `RewardsAssetManager`.)
     */
    function setAssetManagerPoolConfig(IERC20 token, bytes memory poolConfig)
        public
        virtual
        authenticate
        whenNotPaused
    {
        _setAssetManagerPoolConfig(token, poolConfig);
    }

    function _setAssetManagerPoolConfig(IERC20 token, bytes memory poolConfig) private {
        bytes32 poolId = getPoolId();
        (, , , address assetManager) = getVault().getPoolTokenInfo(poolId, token);

        IAssetManager(assetManager).setConfig(poolId, poolConfig);
    }

    /**
     * @notice Pause the pool: an emergency action which disables all pool functions.
     * @dev This is a permissioned function that will only work during the Pause Window set during pool factory
     * deployment (see `TemporarilyPausable`).
     */
    function pause() external authenticate {
        _setPaused(true);
    }

    /**
     * @notice Reverse a `pause` operation, and restore a pool to normal functionality.
     * @dev This is a permissioned function that will only work on a paused pool within the Buffer Period set during
     * pool factory deployment (see `TemporarilyPausable`). Note that any paused pools will automatically unpause
     * after the Buffer Period expires.
     */
    function unpause() external authenticate {
        _setPaused(false);
    }

    function _isOwnerOnlyAction(bytes32 actionId) internal view virtual override returns (bool) {
        return
            (actionId == getActionId(this.setSwapFeePercentage.selector)) ||
            (actionId == getActionId(this.setAssetManagerPoolConfig.selector)) ||
            super._isOwnerOnlyAction(actionId);
    }

    function _getMiscData() internal view returns (bytes32) {
        return _miscData;
    }

    /**
     * @dev Inserts data into the least-significant 192 bits of the misc data storage slot.
     * Note that the remaining 64 bits are used for the swap fee percentage and cannot be overloaded.
     */
    function _setMiscData(bytes32 newData) internal {
        _miscData = _miscData.insertBits192(newData, 0);
    }

    // Join / Exit Hooks

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

    /**
     * @notice Vault hook for adding liquidity to a pool (including the first time, "initializing" the pool).
     * @dev This function can only be called from the Vault, from `joinPool`.
     */
    function onJoinPool(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    ) external override onlyVault(poolId) returns (uint256[] memory, uint256[] memory) {
        _beforeSwapJoinExit();

        uint256[] memory scalingFactors = _scalingFactors();

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

            // On initialization, we lock _getMinimumBpt() 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 >= _getMinimumBpt(), Errors.MINIMUM_BPT);
            _mintPoolTokens(address(0), _getMinimumBpt());
            _mintPoolTokens(recipient, bptAmountOut - _getMinimumBpt());

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

            return (amountsIn, new uint256[](balances.length));
        } else {
            _upscaleArray(balances, scalingFactors);
            (uint256 bptAmountOut, uint256[] memory amountsIn) = _onJoinPool(
                poolId,
                sender,
                recipient,
                balances,
                lastChangeBlock,
                inRecoveryMode() ? 0 : protocolSwapFeePercentage, // Protocol fees are disabled while in recovery mode
                scalingFactors,
                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);

            // This Pool ignores the `dueProtocolFees` return value, so we simply return a zeroed-out array.
            return (amountsIn, new uint256[](balances.length));
        }
    }

    /**
     * @notice Vault hook for removing liquidity from a pool.
     * @dev This function can only be called from the Vault, from `exitPool`.
     */
    function onExitPool(
        bytes32 poolId,
        address sender,
        address recipient,
        uint256[] memory balances,
        uint256 lastChangeBlock,
        uint256 protocolSwapFeePercentage,
        bytes memory userData
    ) external override onlyVault(poolId) returns (uint256[] memory, uint256[] memory) {
        uint256[] memory amountsOut;
        uint256 bptAmountIn;

        // When a user calls `exitPool`, this is the first point of entry from the Vault.
        // We first check whether this is a Recovery Mode exit - if so, we proceed using this special lightweight exit
        // mechanism which avoids computing any complex values, interacting with external contracts, etc., and generally
        // should always work, even if the Pool's mathematics or a dependency break down.
        if (userData.isRecoveryModeExitKind()) {
            // This exit kind is only available in Recovery Mode.
            _ensureInRecoveryMode();

            // Note that we don't upscale balances nor downscale amountsOut - we don't care about scaling factors during
            // a recovery mode exit.
            (bptAmountIn, amountsOut) = _doRecoveryModeExit(balances, totalSupply(), userData);
        } else {
            // Note that we only call this if we're not in a recovery mode exit.
            _beforeSwapJoinExit();

            uint256[] memory scalingFactors = _scalingFactors();
            _upscaleArray(balances, scalingFactors);

            (bptAmountIn, amountsOut) = _onExitPool(
                poolId,
                sender,
                recipient,
                balances,
                lastChangeBlock,
                inRecoveryMode() ? 0 : protocolSwapFeePercentage, // Protocol fees are disabled while in recovery mode
                scalingFactors,
                userData
            );

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

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

        _burnPoolTokens(sender, bptAmountIn);

        // This Pool ignores the `dueProtocolFees` return value, so we simply return a zeroed-out array.
        return (amountsOut, new uint256[](balances.length));
    }

    // Query functions

    /**
     * @notice "Dry run" `onJoinPool`.
     * @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 override 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);
    }

    /**
     * @notice "Dry run" `onExitPool`.
     * @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 override 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 _getMinimumBpt(), 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,
        uint256[] memory scalingFactors,
        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,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal virtual returns (uint256 bptAmountOut, uint256[] memory amountsIn);

    /**
     * @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,
        uint256[] memory scalingFactors,
        bytes memory userData
    ) internal virtual returns (uint256 bptAmountIn, uint256[] memory amountsOut);

    /**
     * @dev Called at the very beginning of swaps, joins and exits, even before the scaling factors are read. Derived
     * contracts can extend this implementation to perform any state-changing operations they might need (including e.g.
     * updating the scaling factors),
     *
     * The only scenario in which this function is not called is during a recovery mode exit. This makes it safe to
     * perform non-trivial computations or interact with external dependencies here, as recovery mode will not be
     * affected.
     *
     * Since this contract does not implement swaps, derived contracts must also make sure this function is called on
     * swap handlers.
     */
    function _beforeSwapJoinExit() internal virtual {
        // All joins, exits and swaps are disabled (except recovery mode exits).
        _ensureNotPaused();
    }

    // Internal functions

    /**
     * @dev Pays protocol fees by minting `bptAmount` to the Protocol Fee Collector.
     */
    function _payProtocolFees(uint256 bptAmount) internal {
        _mintPoolTokens(address(getProtocolFeesCollector()), bptAmount);
    }

    /**
     * @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(getSwapFeePercentage().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(getSwapFeePercentage());
        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) internal view returns (uint256) {
        if (address(token) == address(this)) {
            return FixedPoint.ONE;
        }

        // 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 FixedPoint.ONE * 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.
     *
     * All scaling factors are fixed-point values with 18 decimals, to allow for this function to be overridden by
     * derived contracts that need to apply further scaling, making these factors potentially non-integer.
     *
     * The largest 'base' scaling factor (i.e. in tokens with less than 18 decimals) is 10**18, which in fixed-point is
     * 10**36. This value can be multiplied with a 112 bit Vault balance with no overflow by a factor of ~1e7, making
     * even relatively 'large' factors safe to use.
     *
     * The 1e7 figure is the result of 2**256 / (1e18 * 1e18 * 2**112).
     */
    function _scalingFactor(IERC20 token) internal view virtual returns (uint256);

    /**
     * @dev Same as `_scalingFactor()`, except for all registered tokens (in the same order as registered). The Vault
     * will always pass balances in this order when calling any of the Pool hooks.
     */
    function _scalingFactors() internal view virtual returns (uint256[] memory);

    function getScalingFactors() external view override returns (uint256[] memory) {
        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) {
        // Upscale rounding wouldn't necessarily always go in the same direction: in a swap for example the balance of
        // token in should be rounded up, and that of token out rounded down. This is the only place where we round in
        // the same direction for all amounts, as the impact of this rounding is expected to be minimal (and there's no
        // rounding error unless `_scalingFactor()` is overriden).
        return FixedPoint.mulDown(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 pure {
        uint256 length = amounts.length;
        InputHelpers.ensureInputLengthMatch(length, scalingFactors.length);

        for (uint256 i = 0; i < length; ++i) {
            amounts[i] = FixedPoint.mulDown(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 FixedPoint.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 pure {
        uint256 length = amounts.length;
        InputHelpers.ensureInputLengthMatch(length, scalingFactors.length);

        for (uint256 i = 0; i < length; ++i) {
            amounts[i] = FixedPoint.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 FixedPoint.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 pure {
        uint256 length = amounts.length;
        InputHelpers.ensureInputLengthMatch(length, scalingFactors.length);

        for (uint256 i = 0; i < length; ++i) {
            amounts[i] = FixedPoint.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, uint256[] memory, bytes memory)
            internal
            returns (uint256, 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 {
            // This imitates the relevant parts of the bodies of onJoin and onExit. Since they're not virtual, we know
            // that their implementations will match this regardless of what derived contracts might do.

            _beforeSwapJoinExit();

            uint256[] memory scalingFactors = _scalingFactors();
            _upscaleArray(balances, scalingFactors);

            (uint256 bptAmount, uint256[] memory tokenAmounts) = _action(
                poolId,
                sender,
                recipient,
                balances,
                lastChangeBlock,
                protocolSwapFeePercentage,
                scalingFactors,
                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 "./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). `balances` 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. `balances` 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);

    /**
     * @dev Returns this Pool's ID, used when interacting with the Vault (to e.g. join the Pool or swap with it).
     */
    function getPoolId() external view returns (bytes32);

    /**
     * @dev Returns the current swap fee percentage as a 18 decimal fixed point number, so e.g. 1e17 corresponds to a
     * 10% swap fee.
     */
    function getSwapFeePercentage() external view returns (uint256);

    /**
     * @dev Returns the scaling factors of each of the Pool's tokens. This is an implementation detail that is typically
     * not relevant for outside parties, but which might be useful for some types of Pools.
     */
    function getScalingFactors() external view returns (uint256[] memory);

    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);

    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);
}

// 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 "../solidity-utils/openzeppelin/IERC20.sol";
import "../solidity-utils/helpers/IAuthentication.sol";
import "../solidity-utils/helpers/ISignaturesValidator.sol";
import "../solidity-utils/helpers/ITemporarilyPausable.sol";
import "../solidity-utils/misc/IWETH.sol";

import "./IAsset.sol";
import "./IAuthorizer.sol";
import "./IFlashLoanRecipient.sol";
import "./IProtocolFeesCollector.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, IAuthentication {
    // 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 (IProtocolFeesCollector);

    /**
     * @dev Safety mechanism to pause most Vault operations in the event of an emergency - typically detection of an
     * error in some part of the system.
     *
     * The Vault can only be paused during an initial time period, after which pausing is forever disabled.
     *
     * While the contract is paused, the following features are disabled:
     * - depositing and transferring internal balance
     * - transferring external balance (using the Vault's allowance)
     * - swaps
     * - joining Pools
     * - Asset Manager interactions
     *
     * Internal Balance can still be withdrawn, and Pools exited.
     */
    function setPaused(bool paused) external;

    /**
     * @dev Returns the Vault's WETH instance.
     */
    function WETH() external view returns (IWETH);
    // solhint-disable-previous-line func-name-mixedcase
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;
pragma experimental ABIEncoderV2;

import "../solidity-utils/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;

interface IAuthentication {
    /**
     * @dev Returns the action identifier associated with the external function described by `selector`.
     */
    function getActionId(bytes4 selector) external view returns (bytes32);
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;

/**
 * @dev Interface for the 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";

/**
 * @dev Interface for WETH9.
 * See https://github.com/gnosis/canonical-weth/blob/0dd1ea3e295eef916d0c6223ec63141137d22d67/contracts/WETH9.sol
 */
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;

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 "../solidity-utils/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 "../solidity-utils/openzeppelin/IERC20.sol";

import "./IVault.sol";
import "./IAuthorizer.sol";

interface IProtocolFeesCollector {
    event SwapFeePercentageChanged(uint256 newSwapFeePercentage);
    event FlashLoanFeePercentageChanged(uint256 newFlashLoanFeePercentage);

    function withdrawCollectedFees(
        IERC20[] calldata tokens,
        uint256[] calldata amounts,
        address recipient
    ) external;

    function setSwapFeePercentage(uint256 newSwapFeePercentage) external;

    function setFlashLoanFeePercentage(uint256 newFlashLoanFeePercentage) external;

    function getSwapFeePercentage() external view returns (uint256);

    function getFlashLoanFeePercentage() external view returns (uint256);

    function getCollectedFeeAmounts(IERC20[] memory tokens) external view returns (uint256[] memory feeAmounts);

    function getAuthorizer() external view returns (IAuthorizer);

    function vault() external view returns (IVault);
}

// 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 "../solidity-utils/openzeppelin/IERC20.sol";

interface IAssetManager {
    /**
     * @notice Emitted when asset manager is rebalanced
     */
    event Rebalance(bytes32 poolId);

    /**
     * @notice Sets the config
     */
    function setConfig(bytes32 poolId, bytes calldata config) external;

    /**
     * Note: No function to read the asset manager config is included in IAssetManager
     * as the signature is expected to vary between asset manager implementations
     */

    /**
     * @notice Returns the asset manager's token
     */
    function getToken() external view returns (IERC20);

    /**
     * @return the current assets under management of this asset manager
     */
    function getAUM(bytes32 poolId) external view returns (uint256);

    /**
     * @return poolCash - The up-to-date cash balance of the pool
     * @return poolManaged - The up-to-date managed balance of the pool
     */
    function getPoolBalances(bytes32 poolId) external view returns (uint256 poolCash, uint256 poolManaged);

    /**
     * @return The difference in tokens between the target investment
     * and the currently invested amount (i.e. the amount that can be invested)
     */
    function maxInvestableBalance(bytes32 poolId) external view returns (int256);

    /**
     * @notice Updates the Vault on the value of the pool's investment returns
     */
    function updateBalanceOfPool(bytes32 poolId) external;

    /**
     * @notice Determines whether the pool should rebalance given the provided balances
     */
    function shouldRebalance(uint256 cash, uint256 managed) external view returns (bool);

    /**
     * @notice Rebalances funds between the pool and the asset manager to maintain target investment percentage.
     * @param poolId - the poolId of the pool to be rebalanced
     * @param force - a boolean representing whether a rebalance should be forced even when the pool is near balance
     */
    function rebalance(bytes32 poolId, bool force) external;

    /**
     * @notice allows an authorized rebalancer to remove capital to facilitate large withdrawals
     * @param poolId - the poolId of the pool to withdraw funds back to
     * @param amount - the amount of tokens to withdraw back to the pool
     */
    function capitalOut(bytes32 poolId, 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;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";

import "../math/Math.sol";

/**
 * @dev Library for encoding and decoding values stored inside a 256 bit word. Typically used to pack multiple values in
 * a single storage slot, saving gas by performing less storage accesses.
 *
 * Each value is defined by its size and the least significant bit in the word, also known as offset. For example, two
 * 128 bit values may be encoded in a word by assigning one an offset of 0, and the other an offset of 128.
 *
 * We could use Solidity structs to pack values together in a single storage slot instead of relying on a custom and
 * error-prone library, but unfortunately Solidity only allows for structs to live in either storage, calldata or
 * memory. Because a memory struct uses not just memory but also a slot in the stack (to store its memory location),
 * using memory for word-sized values (i.e. of 256 bits or less) is strictly less gas performant, and doesn't even
 * prevent stack-too-deep issues. This is compounded by the fact that Balancer contracts typically are memory-intensive,
 * and the cost of accesing memory increases quadratically with the number of allocated words. Manual packing and
 * unpacking is therefore the preferred approach.
 */
library WordCodec {
    // Masks are values with the least significant N bits set. They can be used to extract an encoded value from a word,
    // or to insert a new one replacing the old.
    uint256 private constant _MASK_1 = 2**(1) - 1;
    uint256 private constant _MASK_192 = 2**(192) - 1;

    // In-place insertion

    /**
     * @dev Inserts an unsigned integer of bitLength, shifted by an offset, into a 256 bit word,
     * replacing the old value. Returns the new word.
     */
    function insertUint(
        bytes32 word,
        uint256 value,
        uint256 offset,
        uint256 bitLength
    ) internal pure returns (bytes32) {
        _validateEncodingParams(value, offset, bitLength);

        uint256 mask = (1 << bitLength) - 1;
        bytes32 clearedWord = bytes32(uint256(word) & ~(mask << offset));
        return clearedWord | bytes32(value << offset);
    }

    /**
     * @dev Inserts a signed integer shifted by an offset into a 256 bit word, replacing the old value. Returns
     * the new word.
     *
     * Assumes `value` can be represented using `bitLength` bits.
     */
    function insertInt(
        bytes32 word,
        int256 value,
        uint256 offset,
        uint256 bitLength
    ) internal pure returns (bytes32) {
        _validateEncodingParams(value, offset, bitLength);

        uint256 mask = (1 << bitLength) - 1;
        bytes32 clearedWord = bytes32(uint256(word) & ~(mask << offset));
        // Integer values need masking to remove the upper bits of negative values.
        return clearedWord | bytes32((uint256(value) & mask) << offset);
    }

    // Encoding

    /**
     * @dev Encodes an unsigned integer shifted by an offset. Ensures value fits within
     * `bitLength` bits.
     *
     * The return value can be ORed bitwise with other encoded values to form a 256 bit word.
     */
    function encodeUint(
        uint256 value,
        uint256 offset,
        uint256 bitLength
    ) internal pure returns (bytes32) {
        _validateEncodingParams(value, offset, bitLength);

        return bytes32(value << offset);
    }

    /**
     * @dev Encodes a signed integer shifted by an offset.
     *
     * The return value can be ORed bitwise with other encoded values to form a 256 bit word.
     */
    function encodeInt(
        int256 value,
        uint256 offset,
        uint256 bitLength
    ) internal pure returns (bytes32) {
        _validateEncodingParams(value, offset, bitLength);

        uint256 mask = (1 << bitLength) - 1;
        // Integer values need masking to remove the upper bits of negative values.
        return bytes32((uint256(value) & mask) << offset);
    }

    // Decoding

    /**
     * @dev Decodes and returns an unsigned integer with `bitLength` bits, shifted by an offset, from a 256 bit word.
     */
    function decodeUint(
        bytes32 word,
        uint256 offset,
        uint256 bitLength
    ) internal pure returns (uint256) {
        return uint256(word >> offset) & ((1 << bitLength) - 1);
    }

    /**
     * @dev Decodes and returns a signed integer with `bitLength` bits, shifted by an offset, from a 256 bit word.
     */
    function decodeInt(
        bytes32 word,
        uint256 offset,
        uint256 bitLength
    ) internal pure returns (int256) {
        int256 maxInt = int256((1 << (bitLength - 1)) - 1);
        uint256 mask = (1 << bitLength) - 1;

        int256 value = int256(uint256(word >> offset) & mask);
        // In case the decoded value is greater than the max positive integer that can be represented with bitLength
        // bits, we know it was originally a negative integer. Therefore, we mask it to restore the sign in the 256 bit
        // representation.
        return value > maxInt ? (value | int256(~mask)) : value;
    }

    // Special cases

    /**
     * @dev Decodes and returns a boolean shifted by an offset from a 256 bit word.
     */
    function decodeBool(bytes32 word, uint256 offset) internal pure returns (bool) {
        return (uint256(word >> offset) & _MASK_1) == 1;
    }

    /**
     * @dev Inserts a 192 bit value shifted by an offset into a 256 bit word, replacing the old value.
     * Returns the new word.
     *
     * Assumes `value` can be represented using 192 bits.
     */
    function insertBits192(
        bytes32 word,
        bytes32 value,
        uint256 offset
    ) internal pure returns (bytes32) {
        bytes32 clearedWord = bytes32(uint256(word) & ~(_MASK_192 << offset));
        return clearedWord | bytes32((uint256(value) & _MASK_192) << offset);
    }

    /**
     * @dev Inserts a boolean value shifted by an offset into a 256 bit word, replacing the old value. Returns the new
     * word.
     */
    function insertBool(
        bytes32 word,
        bool value,
        uint256 offset
    ) internal pure returns (bytes32) {
        bytes32 clearedWord = bytes32(uint256(word) & ~(_MASK_1 << offset));
        return clearedWord | bytes32(uint256(value ? 1 : 0) << offset);
    }

    // Helpers

    function _validateEncodingParams(
        uint256 value,
        uint256 offset,
        uint256 bitLength
    ) private pure {
        _require(offset < 256, Errors.OUT_OF_BOUNDS);
        // We never accept 256 bit values (which would make the codec pointless), and the larger the offset the smaller
        // the maximum bit length.
        _require(bitLength >= 1 && bitLength <= Math.min(255, 256 - offset), Errors.OUT_OF_BOUNDS);

        // Testing unsigned values for size is straightforward: their upper bits must be cleared.
        _require(value >> bitLength == 0, Errors.CODEC_OVERFLOW);
    }

    function _validateEncodingParams(
        int256 value,
        uint256 offset,
        uint256 bitLength
    ) private pure {
        _require(offset < 256, Errors.OUT_OF_BOUNDS);
        // We never accept 256 bit values (which would make the codec pointless), and the larger the offset the smaller
        // the maximum bit length.
        _require(bitLength >= 1 && bitLength <= Math.min(255, 256 - offset), Errors.OUT_OF_BOUNDS);

        // Testing signed values for size is a bit more involved.
        if (value >= 0) {
            // For positive values, we can simply check that the upper bits are clear. Notice we remove one bit from the
            // length for the sign bit.
            _require(value >> (bitLength - 1) == 0, Errors.CODEC_OVERFLOW);
        } else {
            // Negative values can receive the same treatment by making them positive, with the caveat that the range
            // for negative values in two's complement supports one more value than for the positive case.
            _require(Math.abs(value + 1) >> (bitLength - 1) == 0, Errors.CODEC_OVERFLOW);
        }
    }
}

// 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/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 Reverts if the contract is not paused.
     */
    function _ensurePaused() internal view {
        _require(!_isNotPaused(), Errors.NOT_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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/openzeppelin/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}. The total supply should only be read using this function
     *
     * Can be overridden by derived contracts to store the total supply in a different way (e.g. packed with other
     * storage values).
     */
    function totalSupply() public view virtual override returns (uint256) {
        return _totalSupply;
    }

    /**
     * @dev Sets a new value for the total supply. It should only be set using this function.
     *
     * * Can be overridden by derived contracts to store the total supply in a different way (e.g. packed with other
     * storage values).
     */
    function _setTotalSupply(uint256 value) internal virtual {
        _totalSupply = value;
    }

    /**
     * @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 {
        _beforeTokenTransfer(address(0), account, amount);

        _setTotalSupply(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_BALANCE);
        _setTotalSupply(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 {
        _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 {
        // 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;

import "@balancer-labs/v2-interfaces/contracts/vault/IVault.sol";

import "@balancer-labs/v2-solidity-utils/contracts/openzeppelin/ERC20Permit.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`
 * - Assigns infinite allowance for all token holders to the Vault
 */
contract BalancerPoolToken is ERC20Permit {
    IVault private immutable _vault;

    constructor(
        string memory tokenName,
        string memory tokenSymbol,
        IVault vault
    ) ERC20(tokenName, tokenSymbol) ERC20Permit(tokenName) {
        _vault = vault;
    }

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

    // Overrides

    /**
     * @dev Override to grant the Vault infinite allowance, causing for Pool Tokens to not require approval.
     *
     * This is sound as the Vault already provides authorization mechanisms when initiation token transfers, which this
     * contract inherits.
     */
    function allowance(address owner, address spender) public view override returns (uint256) {
        if (spender == address(getVault())) {
            return uint256(-1);
        } else {
            return super.allowance(owner, spender);
        }
    }

    /**
     * @dev Override to allow for 'infinite allowance' and let the token owner use `transferFrom` with no self-allowance
     */
    function transferFrom(
        address sender,
        address recipient,
        uint256 amount
    ) public override returns (bool) {
        uint256 currentAllowance = allowance(sender, msg.sender);
        _require(msg.sender == sender || currentAllowance >= amount, Errors.ERC20_TRANSFER_EXCEEDS_ALLOWANCE);

        _transfer(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
            _approve(sender, msg.sender, currentAllowance - amount);
        }

        return true;
    }

    /**
     * @dev Override to allow decreasing allowance by more than the current amount (setting it to zero)
     */
    function decreaseAllowance(address spender, uint256 amount) public override returns (bool) {
        uint256 currentAllowance = allowance(msg.sender, spender);

        if (amount >= currentAllowance) {
            _approve(msg.sender, spender, 0);
        } else {
            // No risk of underflow due to if condition
            _approve(msg.sender, spender, currentAllowance - amount);
        }

        return true;
    }

    // Internal functions

    function _mintPoolTokens(address recipient, uint256 amount) internal {
        _mint(recipient, amount);
    }

    function _burnPoolTokens(address sender, uint256 amount) internal {
        _burn(sender, 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 "@balancer-labs/v2-interfaces/contracts/vault/IAuthorizer.sol";

import "@balancer-labs/v2-solidity-utils/contracts/helpers/Authentication.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) internal view virtual returns (bool) {
        return false;
    }

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

// 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/pool-utils/BasePoolUserData.sol";
import "@balancer-labs/v2-interfaces/contracts/pool-utils/IRecoveryMode.sol";

import "@balancer-labs/v2-solidity-utils/contracts/math/FixedPoint.sol";

import "./BasePoolAuthorization.sol";

/**
 * @notice Handle storage and state changes for pools that support "Recovery Mode".
 *
 * @dev This is intended to provide a safe way to exit any pool during some kind of emergency, to avoid locking funds
 * in the event the pool enters a non-functional state (i.e., some code that normally runs during exits is causing
 * them to revert).
 *
 * Recovery Mode is *not* the same as pausing the pool. The pause function is only available during a short window
 * after factory deployment. Pausing can only be intentionally reversed during a buffer period, and the contract
 * will permanently unpause itself thereafter. Paused pools are completely disabled, in a kind of suspended animation,
 * until they are voluntarily or involuntarily unpaused.
 *
 * By contrast, a privileged account - typically a governance multisig - can place a pool in Recovery Mode at any
 * time, and it is always reversible. The pool is *not* disabled while in this mode: though of course whatever
 * condition prompted the transition to Recovery Mode has likely effectively disabled some functions. Rather,
 * a special "clean" exit is enabled, which runs the absolute minimum code necessary to exit proportionally.
 * In particular, stable pools do not attempt to compute the invariant (which is a complex, iterative calculation
 * that can fail in extreme circumstances), and no protocol fees are collected.
 *
 * It is critical to ensure that turning on Recovery Mode would do no harm, if activated maliciously or in error.
 */
abstract contract RecoveryMode is IRecoveryMode, BasePoolAuthorization {
    using FixedPoint for uint256;
    using BasePoolUserData for bytes;

    /**
     * @dev Reverts if the contract is in Recovery Mode.
     */
    modifier whenNotInRecoveryMode() {
        _ensureNotInRecoveryMode();
        _;
    }

    /**
     * @notice Enable recovery mode, which enables a special safe exit path for LPs.
     * @dev Does not otherwise affect pool operations (beyond deferring payment of protocol fees), though some pools may
     * perform certain operations in a "safer" manner that is less likely to fail, in an attempt to keep the pool
     * running, even in a pathological state. Unlike the Pause operation, which is only available during a short window
     * after factory deployment, Recovery Mode can always be enabled.
     */
    function enableRecoveryMode() external override authenticate {
        _setRecoveryMode(true);
    }

    /**
     * @notice Disable recovery mode, which disables the special safe exit path for LPs.
     * @dev Protocol fees are not paid while in Recovery Mode, so it should only remain active for as long as strictly
     * necessary.
     */
    function disableRecoveryMode() external override authenticate {
        _setRecoveryMode(false);
    }

    // Defer implementation for functions that require storage

    /**
     * @notice Override to check storage and return whether the pool is in Recovery Mode
     */
    function inRecoveryMode() public view virtual override returns (bool);

    /**
     * @dev Override to update storage and emit the event
     *
     * No complex code or external calls that could fail should be placed in the implementations,
     * which could jeopardize the ability to enable and disable Recovery Mode.
     */
    function _setRecoveryMode(bool enabled) internal virtual;

    /**
     * @dev Reverts if the contract is not in Recovery Mode.
     */
    function _ensureInRecoveryMode() internal view {
        _require(inRecoveryMode(), Errors.NOT_IN_RECOVERY_MODE);
    }

    /**
     * @dev Reverts if the contract is in Recovery Mode.
     */
    function _ensureNotInRecoveryMode() internal view {
        _require(!inRecoveryMode(), Errors.IN_RECOVERY_MODE);
    }

    /**
     * @dev A minimal proportional exit, suitable as is for most pools: though not for pools with preminted BPT
     * or other special considerations. Designed to be overridden if a pool needs to do extra processing,
     * such as scaling a stored invariant, or caching the new total supply.
     *
     * No complex code or external calls should be made in derived contracts that override this!
     */
    function _doRecoveryModeExit(
        uint256[] memory balances,
        uint256 totalSupply,
        bytes memory userData
    ) internal virtual returns (uint256, uint256[] memory) {
        uint256 bptAmountIn = userData.recoveryModeExit();

        uint256[] memory amountsOut = _computeProportionalAmountsOut(balances, totalSupply, bptAmountIn);

        return (bptAmountIn, amountsOut);
    }

    function _computeProportionalAmountsOut(
        uint256[] memory balances,
        uint256 totalSupply,
        uint256 bptAmountIn
    ) internal pure returns (uint256[] memory amountsOut) {
        /**********************************************************************************************
        // exactBPTInForTokensOut                                                                    //
        // (per token)                                                                               //
        // aO = tokenAmountOut             /        bptIn         \                                  //
        // b = tokenBalance      a0 = b * | ---------------------  |                                 //
        // bptIn = bptAmountIn             \     bptTotalSupply    /                                 //
        // bpt = bptTotalSupply                                                                      //
        **********************************************************************************************/

        // 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(totalSupply);

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

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/openzeppelin/IERC20Permit.sol";

import "./ERC20.sol";
import "../helpers/EOASignaturesValidator.sol";

/**
 * @dev Implementation 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.
 *
 * _Available since v3.4._
 */
abstract contract ERC20Permit is ERC20, IERC20Permit, EOASignaturesValidator {
    // solhint-disable-next-line var-name-mixedcase
    bytes32 private constant _PERMIT_TYPEHASH = keccak256(
        "Permit(address owner,address spender,uint256 value,uint256 nonce,uint256 deadline)"
    );

    /**
     * @dev Initializes the {EIP712} domain separator using the `name` parameter, and setting `version` to `"1"`.
     *
     * It's a good idea to use the same `name` that is defined as the ERC20 token name.
     */
    constructor(string memory name) EIP712(name, "1") {
        // solhint-disable-previous-line no-empty-blocks
    }

    /**
     * @dev See {IERC20Permit-permit}.
     */
    function permit(
        address owner,
        address spender,
        uint256 value,
        uint256 deadline,
        uint8 v,
        bytes32 r,
        bytes32 s
    ) public virtual override {
        bytes32 structHash = keccak256(
            abi.encode(_PERMIT_TYPEHASH, owner, spender, value, getNextNonce(owner), deadline)
        );

        _ensureValidSignature(owner, structHash, _toArraySignature(v, r, s), deadline, Errors.INVALID_SIGNATURE);

        _approve(owner, spender, value);
    }

    /**
     * @dev See {IERC20Permit-nonces}.
     */
    function nonces(address owner) public view override returns (uint256) {
        return getNextNonce(owner);
    }

    /**
     * @dev See {IERC20Permit-DOMAIN_SEPARATOR}.
     */
    // solhint-disable-next-line func-name-mixedcase
    function DOMAIN_SEPARATOR() external view override returns (bytes32) {
        return getDomainSeparator();
    }
}

// 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: 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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/ISignaturesValidator.sol";

import "../openzeppelin/EIP712.sol";

/**
 * @dev Utility for signing Solidity function calls.
 */
abstract contract EOASignaturesValidator is ISignaturesValidator, EIP712 {
    // Replay attack prevention for each account.
    mapping(address => uint256) internal _nextNonce;

    function getDomainSeparator() public view override returns (bytes32) {
        return _domainSeparatorV4();
    }

    function getNextNonce(address account) public view override returns (uint256) {
        return _nextNonce[account];
    }

    function _ensureValidSignature(
        address account,
        bytes32 structHash,
        bytes memory signature,
        uint256 errorCode
    ) internal {
        return _ensureValidSignature(account, structHash, signature, type(uint256).max, errorCode);
    }

    function _ensureValidSignature(
        address account,
        bytes32 structHash,
        bytes memory signature,
        uint256 deadline,
        uint256 errorCode
    ) internal {
        bytes32 digest = _hashTypedDataV4(structHash);
        _require(_isValidSignature(account, digest, signature), errorCode);

        // We could check for the deadline before validating the signature, but this leads to saner error processing (as
        // we only care about expired deadlines if the signature is correct) and only affects the gas cost of the revert
        // scenario, which will only occur infrequently, if ever.
        // The deadline is timestamp-based: it should not be relied upon for sub-minute accuracy.
        // solhint-disable-next-line not-rely-on-time
        _require(deadline >= block.timestamp, Errors.EXPIRED_SIGNATURE);

        // We only advance the nonce after validating the signature. This is irrelevant for this module, but it can be
        // important in derived contracts that override _isValidSignature (e.g. SignaturesValidator), as we want for
        // the observable state to still have the current nonce as the next valid one.
        _nextNonce[account] += 1;
    }

    function _isValidSignature(
        address account,
        bytes32 digest,
        bytes memory signature
    ) internal view virtual returns (bool) {
        _require(signature.length == 65, Errors.MALFORMED_SIGNATURE);

        bytes32 r;
        bytes32 s;
        uint8 v;

        // ecrecover takes the r, s and v signature parameters, and the only way to get them is to use assembly.
        // solhint-disable-next-line no-inline-assembly
        assembly {
            r := mload(add(signature, 0x20))
            s := mload(add(signature, 0x40))
            v := byte(0, mload(add(signature, 0x60)))
        }

        address recoveredAddress = ecrecover(digest, v, r, s);

        // ecrecover returns the zero address on recover failure, so we need to handle that explicitly.
        return (recoveredAddress != address(0) && recoveredAddress == account);
    }

    function _toArraySignature(
        uint8 v,
        bytes32 r,
        bytes32 s
    ) internal pure returns (bytes memory) {
        bytes memory signature = new bytes(65);
        // solhint-disable-next-line no-inline-assembly
        assembly {
            mstore(add(signature, 32), r)
            mstore(add(signature, 64), s)
            mstore8(add(signature, 96), v)
        }

        return signature;
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

/**
 * @dev https://eips.ethereum.org/EIPS/eip-712[EIP 712] is a standard for hashing and signing of typed structured data.
 *
 * The encoding specified in the EIP is very generic, and such a generic implementation in Solidity is not feasible,
 * thus this contract does not implement the encoding itself. Protocols need to implement the type-specific encoding
 * they need in their contracts using a combination of `abi.encode` and `keccak256`.
 *
 * This contract implements the EIP 712 domain separator ({_domainSeparatorV4}) that is used as part of the encoding
 * scheme, and the final step of the encoding to obtain the message digest that is then signed via ECDSA
 * ({_hashTypedDataV4}).
 *
 * The implementation of the domain separator was designed to be as efficient as possible while still properly updating
 * the chain id to protect against replay attacks on an eventual fork of the chain.
 *
 * NOTE: This contract implements the version of the encoding known as "v4", as implemented by the JSON RPC method
 * https://docs.metamask.io/guide/signing-data.html[`eth_signTypedDataV4` in MetaMask].
 *
 * _Available since v3.4._
 */
abstract contract EIP712 {
    /* solhint-disable var-name-mixedcase */
    bytes32 private immutable _HASHED_NAME;
    bytes32 private immutable _HASHED_VERSION;
    bytes32 private immutable _TYPE_HASH;

    /* solhint-enable var-name-mixedcase */

    /**
     * @dev Initializes the domain separator and parameter caches.
     *
     * The meaning of `name` and `version` is specified in
     * https://eips.ethereum.org/EIPS/eip-712#definition-of-domainseparator[EIP 712]:
     *
     * - `name`: the user readable name of the signing domain, i.e. the name of the DApp or the protocol.
     * - `version`: the current major version of the signing domain.
     *
     * NOTE: These parameters cannot be changed except through a xref:learn::upgrading-smart-contracts.adoc[smart
     * contract upgrade].
     */
    constructor(string memory name, string memory version) {
        _HASHED_NAME = keccak256(bytes(name));
        _HASHED_VERSION = keccak256(bytes(version));
        _TYPE_HASH = keccak256("EIP712Domain(string name,string version,uint256 chainId,address verifyingContract)");
    }

    /**
     * @dev Returns the domain separator for the current chain.
     */
    function _domainSeparatorV4() internal view virtual returns (bytes32) {
        return keccak256(abi.encode(_TYPE_HASH, _HASHED_NAME, _HASHED_VERSION, _getChainId(), address(this)));
    }

    /**
     * @dev Given an already https://eips.ethereum.org/EIPS/eip-712#definition-of-hashstruct[hashed struct], this
     * function returns the hash of the fully encoded EIP712 message for this domain.
     *
     * This hash can be used together with {ECDSA-recover} to obtain the signer of a message. For example:
     *
     * ```solidity
     * bytes32 digest = _hashTypedDataV4(keccak256(abi.encode(
     *     keccak256("Mail(address to,string contents)"),
     *     mailTo,
     *     keccak256(bytes(mailContents))
     * )));
     * address signer = ECDSA.recover(digest, signature);
     * ```
     */
    function _hashTypedDataV4(bytes32 structHash) internal view virtual returns (bytes32) {
        return keccak256(abi.encodePacked("\x19\x01", _domainSeparatorV4(), structHash));
    }

    function _getChainId() private view returns (uint256 chainId) {
        // Silence state mutability warning without generating bytecode.
        // See https://github.com/ethereum/solidity/issues/10090#issuecomment-741789128 and
        // https://github.com/ethereum/solidity/issues/2691
        this;

        // solhint-disable-next-line no-inline-assembly
        assembly {
            chainId := chainid()
        }
    }
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/IAuthentication.sol";

/**
 * @dev Building block for performing access control on external functions.
 *
 * This contract is used via the `authenticate` modifier (or the `_authenticateCaller` function), which can be applied
 * to external functions to only make them callable by authorized accounts.
 *
 * Derived contracts must implement the `_canPerform` function, which holds the actual access control logic.
 */
abstract contract Authentication is IAuthentication {
    bytes32 private immutable _actionIdDisambiguator;

    /**
     * @dev The main purpose of the `actionIdDisambiguator` is to prevent accidental function selector collisions in
     * multi contract systems.
     *
     * There are two main uses for it:
     *  - if the contract is a singleton, any unique identifier can be used to make the associated action identifiers
     *    unique. The contract's own address is a good option.
     *  - if the contract belongs to a family that shares action identifiers for the same functions, an identifier
     *    shared by the entire family (and no other contract) should be used instead.
     */
    constructor(bytes32 actionIdDisambiguator) {
        _actionIdDisambiguator = actionIdDisambiguator;
    }

    /**
     * @dev Reverts unless the caller is allowed to call this function. Should only be applied to external functions.
     */
    modifier authenticate() {
        _authenticateCaller();
        _;
    }

    /**
     * @dev Reverts unless the caller is allowed to call the entry point function.
     */
    function _authenticateCaller() internal view {
        bytes32 actionId = getActionId(msg.sig);
        _require(_canPerform(actionId, msg.sender), Errors.SENDER_NOT_ALLOWED);
    }

    function getActionId(bytes4 selector) public view override returns (bytes32) {
        // Each external function is dynamically assigned an action identifier as the hash of the disambiguator and the
        // function selector. Disambiguation is necessary to avoid potential collisions in the function selectors of
        // multiple contracts.
        return keccak256(abi.encodePacked(_actionIdDisambiguator, selector));
    }

    function _canPerform(bytes32 actionId, address user) internal view virtual returns (bool);
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;

library BasePoolUserData {
    // Special ExitKind for all pools, used in Recovery Mode. Use the max 8-bit value to prevent conflicts
    // with future additions to the ExitKind enums (or any front-end code that maps to existing values)
    uint8 public constant RECOVERY_MODE_EXIT_KIND = 255;

    // Return true if this is the special exit kind.
    function isRecoveryModeExitKind(bytes memory self) internal pure returns (bool) {
        // Check for the "no data" case, or abi.decode would revert
        return self.length > 0 && abi.decode(self, (uint8)) == RECOVERY_MODE_EXIT_KIND;
    }

    // Parse the bptAmountIn out of the userData
    function recoveryModeExit(bytes memory self) internal pure returns (uint256 bptAmountIn) {
        (, bptAmountIn) = abi.decode(self, (uint8, 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 RecoveryMode module.
 */
interface IRecoveryMode {
    /**
     * @dev Emitted when the Recovery Mode status changes.
     */
    event RecoveryModeStateChanged(bool enabled);

    /**
     * @notice Enables Recovery Mode in the Pool, disabling protocol fee collection and allowing for safe proportional
     * exits with low computational complexity and no dependencies.
     */
    function enableRecoveryMode() external;

    /**
     * @notice Disables Recovery Mode in the Pool, restoring protocol fee collection and disallowing proportional exits.
     */
    function disableRecoveryMode() external;

    /**
     * @notice Returns true if the Pool is in Recovery Mode.
     */
    function inRecoveryMode() external view returns (bool);
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";
import "@balancer-labs/v2-interfaces/contracts/standalone-utils/IProtocolFeePercentagesProvider.sol";

import "@balancer-labs/v2-solidity-utils/contracts/openzeppelin/SafeCast.sol";

import "./RecoveryMode.sol";

/**
 * @dev The Vault does not provide the protocol swap fee percentage in swap hooks (as swaps don't typically need this
 * value), so for swaps that need this value, we would have to to fetch it ourselves from the
 * ProtocolFeePercentagesProvider. Additionally, other protocol fee types (such as Yield or AUM) can only be obtained
 * by making said call.
 *
 * However, these values change so rarely that it doesn't make sense to perform the required calls to get the current
 * values in every single user interaction. Instead, we keep a local copy that can be permissionlessly updated by anyone
 * with the real value. We also pack these values together, performing a single storage read to get them all.
 *
 * When initialized with a special sentinel value, the swap fee is delegated, meaning the mutable protocol swap fee
 * cache is set to the current value stored in the ProtocolFeePercentagesProvider, and can be updated by anyone with a
 * call to `updateProtocolFeePercentageCache`. Any other value means the protocol swap fee is fixed, so it is instead
 * stored in the immutable `_fixedProtocolSwapFeePercentage`.
 */
abstract contract ProtocolFeeCache is RecoveryMode {
    using SafeCast for uint256;

    IProtocolFeePercentagesProvider private immutable _protocolFeeProvider;

    // Protocol Fee Percentages can never be larger than 100% (1e18), which fits in ~59 bits, so using 64 for each type
    // is sufficient.
    struct FeeTypeCache {
        uint64 swapFee;
        uint64 yieldFee;
        uint64 aumFee;
    }

    FeeTypeCache private _cache;

    event ProtocolFeePercentageCacheUpdated(uint256 indexed feeType, uint256 protocolFeePercentage);

    // Swap fees can be set to a fixed value at construction, or delegated to the ProtocolFeePercentagesProvider if
    // passing the special sentinel value.
    uint256 public constant DELEGATE_PROTOCOL_SWAP_FEES_SENTINEL = type(uint256).max;

    bool private immutable _delegatedProtocolSwapFees;

    // Only valid when `_delegatedProtocolSwapFees` is false
    uint256 private immutable _fixedProtocolSwapFeePercentage;

    constructor(IProtocolFeePercentagesProvider protocolFeeProvider, uint256 protocolSwapFeePercentage) {
        // Protocol swap fees are delegated to the value reported by the ProtocolFeePercentagesProvider if the sentinel
        // value is passed.
        bool delegatedProtocolSwapFees = protocolSwapFeePercentage == DELEGATE_PROTOCOL_SWAP_FEES_SENTINEL;

        _delegatedProtocolSwapFees = delegatedProtocolSwapFees;
        _protocolFeeProvider = protocolFeeProvider;

        _updateProtocolFeeCache(protocolFeeProvider, ProtocolFeeType.YIELD);
        _updateProtocolFeeCache(protocolFeeProvider, ProtocolFeeType.AUM);

        if (delegatedProtocolSwapFees) {
            _updateProtocolFeeCache(protocolFeeProvider, ProtocolFeeType.SWAP);
        } else {
            _require(
                protocolSwapFeePercentage <= protocolFeeProvider.getFeeTypeMaximumPercentage(ProtocolFeeType.SWAP),
                Errors.SWAP_FEE_PERCENTAGE_TOO_HIGH
            );

            // We cannot set `_fixedProtocolSwapFeePercentage` here due to it being immutable so instead we must set it
            // in the main function scope with a value based on whether protocol fees are delegated.

            // Emit an event as we do in `_updateProtocolFeeCache` to appear the same to offchain indexers.
            emit ProtocolFeePercentageCacheUpdated(ProtocolFeeType.SWAP, protocolSwapFeePercentage);
        }

        // As `_fixedProtocolSwapFeePercentage` is immutable we must set a value, but just set to zero if it's not used.
        _fixedProtocolSwapFeePercentage = delegatedProtocolSwapFees ? 0 : protocolSwapFeePercentage;
    }

    /**
     * @dev Returns the cached protocol fee percentage. If `getProtocolSwapFeeDelegation()` is false, this value is
     * immutable for swap fee queries. Alternatively, it will track the global fee percentage set in the
     * ProtocolFeePercentagesProvider.
     */
    function getProtocolFeePercentageCache(uint256 feeType) public view returns (uint256) {
        if (inRecoveryMode()) {
            return 0;
        }

        if (feeType == ProtocolFeeType.SWAP) {
            return getProtocolSwapFeeDelegation() ? _cache.swapFee : _fixedProtocolSwapFeePercentage;
        } else if (feeType == ProtocolFeeType.YIELD) {
            return _cache.yieldFee;
        } else if (feeType == ProtocolFeeType.AUM) {
            return _cache.aumFee;
        } else {
            _revert(Errors.UNHANDLED_FEE_TYPE);
        }
    }

    /**
     * @dev Can be called by anyone to update the cached fee percentages (swap fee is only updated when delegated).
     * Updates the cache to the latest value set by governance.
     */
    function updateProtocolFeePercentageCache() external {
        _beforeProtocolFeeCacheUpdate();

        if (getProtocolSwapFeeDelegation()) {
            _updateProtocolFeeCache(_protocolFeeProvider, ProtocolFeeType.SWAP);
        }

        _updateProtocolFeeCache(_protocolFeeProvider, ProtocolFeeType.YIELD);
        _updateProtocolFeeCache(_protocolFeeProvider, ProtocolFeeType.AUM);
    }

    /**
     * @dev Override in derived contracts to perform some action before the cache is updated. This is typically relevant
     * to Pools that incur protocol debt between operations. To avoid altering the amount due retroactively, this debt
     * needs to be paid before the fee percentages change.
     */
    function _beforeProtocolFeeCacheUpdate() internal virtual {}

    /**
     * @dev Returns whether this Pool tracks protocol swap fee changes in the IProtocolFeePercentagesProvider.
     */
    function getProtocolSwapFeeDelegation() public view returns (bool) {
        return _delegatedProtocolSwapFees;
    }

    function _updateProtocolFeeCache(IProtocolFeePercentagesProvider protocolFeeProvider, uint256 feeType) private {
        uint256 currentValue = protocolFeeProvider.getFeeTypePercentage(feeType);

        if (feeType == ProtocolFeeType.SWAP) {
            _cache.swapFee = currentValue.toUint64();
        } else if (feeType == ProtocolFeeType.YIELD) {
            _cache.yieldFee = currentValue.toUint64();
        } else if (feeType == ProtocolFeeType.AUM) {
            _cache.aumFee = currentValue.toUint64();
        } else {
            _revert(Errors.UNHANDLED_FEE_TYPE);
        }

        emit ProtocolFeePercentageCacheUpdated(feeType, currentValue);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity ^0.7.0;

import "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";

/**
 * @dev Wrappers over Solidity's uintXX/intXX casting operators with added overflow
 * checks.
 *
 * Downcasting from uint256/int256 in Solidity does not revert on overflow. This can
 * easily result in undesired exploitation or bugs, since developers usually
 * assume that overflows raise errors. `SafeCast` restores this intuition by
 * reverting the transaction when such an operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 *
 * Can be combined with {SafeMath} and {SignedSafeMath} to extend it to smaller types, by performing
 * all math on `uint256` and `int256` and then downcasting.
 */
library SafeCast {
    /**
     * @dev Converts an unsigned uint256 into a signed int256.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxInt256.
     */
    function toInt256(uint256 value) internal pure returns (int256) {
        _require(value >> 255 == 0, Errors.SAFE_CAST_VALUE_CANT_FIT_INT256);
        return int256(value);
    }

    /**
     * @dev Converts an unsigned uint256 into an unsigned uint64.
     *
     * Requirements:
     *
     * - input must be less than or equal to maxUint64.
     */
    function toUint64(uint256 value) internal pure returns (uint64) {
        _require(value <= type(uint64).max, Errors.SAFE_CAST_VALUE_CANT_FIT_UINT64);
        return uint64(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 "@balancer-labs/v2-interfaces/contracts/solidity-utils/helpers/BalancerErrors.sol";

/**
 * @dev Library used to deploy contracts with specific code. This can be used for long-term storage of immutable data as
 * contract code, which can be retrieved via the `extcodecopy` opcode.
 */
library CodeDeployer {
    // During contract construction, the full code supplied exists as code, and can be accessed via `codesize` and
    // `codecopy`. This is not the contract's final code however: whatever the constructor returns is what will be
    // stored as its code.
    //
    // We use this mechanism to have a simple constructor that stores whatever is appended to it. The following opcode
    // sequence corresponds to the creation code of the following equivalent Solidity contract, plus padding to make the
    // full code 32 bytes long:
    //
    // contract CodeDeployer {
    //     constructor() payable {
    //         uint256 size;
    //         assembly {
    //             size := sub(codesize(), 32) // size of appended data, as constructor is 32 bytes long
    //             codecopy(0, 32, size) // copy all appended data to memory at position 0
    //             return(0, size) // return appended data for it to be stored as code
    //         }
    //     }
    // }
    //
    // More specifically, it is composed of the following opcodes (plus padding):
    //
    // [1] PUSH1 0x20
    // [2] CODESIZE
    // [3] SUB
    // [4] DUP1
    // [6] PUSH1 0x20
    // [8] PUSH1 0x00
    // [9] CODECOPY
    // [11] PUSH1 0x00
    // [12] RETURN
    //
    // The padding is just the 0xfe sequence (invalid opcode). It is important as it lets us work in-place, avoiding
    // memory allocation and copying.
    bytes32
        private constant _DEPLOYER_CREATION_CODE = 0x602038038060206000396000f3fefefefefefefefefefefefefefefefefefefe;

    /**
     * @dev Deploys a contract with `code` as its code, returning the destination address.
     *
     * Reverts if deployment fails.
     */
    function deploy(bytes memory code) internal returns (address destination) {
        bytes32 deployerCreationCode = _DEPLOYER_CREATION_CODE;

        // We need to concatenate the deployer creation code and `code` in memory, but want to avoid copying all of
        // `code` (which could be quite long) into a new memory location. Therefore, we operate in-place using
        // assembly.

        // solhint-disable-next-line no-inline-assembly
        assembly {
            let codeLength := mload(code)

            // `code` is composed of length and data. We've already stored its length in `codeLength`, so we simply
            // replace it with the deployer creation code (which is exactly 32 bytes long).
            mstore(code, deployerCreationCode)

            // At this point, `code` now points to the deployer creation code immediately followed by `code`'s data
            // contents. This is exactly what the deployer expects to receive when created.
            destination := create(0, code, add(codeLength, 32))

            // Finally, we restore the original length in order to not mutate `code`.
            mstore(code, codeLength)
        }

        // The create opcode returns the zero address when contract creation fails, so we revert if this happens.
        _require(destination != address(0), Errors.CODE_DEPLOYMENT_FAILED);
    }
}

// SPDX-License-Identifier: GPL-3.0-or-later
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this program.  If not, see <http://www.gnu.org/licenses/>.

pragma solidity ^0.7.0;
pragma experimental ABIEncoderV2;

import "./CodeDeployer.sol";

/**
 * @dev Base factory for contracts whose creation code is so large that the factory cannot hold it. This happens when
 * the contract's creation code grows close to 24kB.
 *
 * Note that this factory cannot help with contracts that have a *runtime* (deployed) bytecode larger than 24kB.
 */
abstract contract BaseSplitCodeFactory {
    // The contract's creation code is stored as code in two separate addresses, and retrieved via `extcodecopy`. This
    // means this factory supports contracts with creation code of up to 48kB.
    // We rely on inline-assembly to achieve this, both to make the entire operation highly gas efficient, and because
    // `extcodecopy` is not available in Solidity.

    // solhint-disable no-inline-assembly

    address private immutable _creationCodeContractA;
    uint256 private immutable _creationCodeSizeA;

    address private immutable _creationCodeContractB;
    uint256 private immutable _creationCodeSizeB;

    /**
     * @dev The creation code of a contract Foo can be obtained inside Solidity with `type(Foo).creationCode`.
     */
    constructor(bytes memory creationCode) {
        uint256 creationCodeSize = creationCode.length;

        // We are going to deploy two contracts: one with approximately the first half of `creationCode`'s contents
        // (A), and another with the remaining half (B).
        // We store the lengths in both immutable and stack variables, since immutable variables cannot be read during
        // construction.
        uint256 creationCodeSizeA = creationCodeSize / 2;
        _creationCodeSizeA = creationCodeSizeA;

        uint256 creationCodeSizeB = creationCodeSize - creationCodeSizeA;
        _creationCodeSizeB = creationCodeSizeB;

        // To deploy the contracts, we're going to use `CodeDeployer.deploy()`, which expects a memory array with
        // the code to deploy. Note that we cannot simply create arrays for A and B's code by copying or moving
        // `creationCode`'s contents as they are expected to be very large (> 24kB), so we must operate in-place.

        // Memory: [ code length ] [ A.data ] [ B.data ]

        // Creating A's array is simple: we simply replace `creationCode`'s length with A's length. We'll later restore
        // the original length.

        bytes memory creationCodeA;
        assembly {
            creationCodeA := creationCode
            mstore(creationCodeA, creationCodeSizeA)
        }

        // Memory: [ A.length ] [ A.data ] [ B.data ]
        //         ^ creationCodeA

        _creationCodeContractA = CodeDeployer.deploy(creationCodeA);

        // Creating B's array is a bit more involved: since we cannot move B's contents, we are going to create a 'new'
        // memory array starting at A's last 32 bytes, which will be replaced with B's length. We'll back-up this last
        // byte to later restore it.

        bytes memory creationCodeB;
        bytes32 lastByteA;

        assembly {
            // `creationCode` points to the array's length, not data, so by adding A's length to it we arrive at A's
            // last 32 bytes.
            creationCodeB := add(creationCode, creationCodeSizeA)
            lastByteA := mload(creationCodeB)
            mstore(creationCodeB, creationCodeSizeB)
        }

        // Memory: [ A.length ] [ A.data[ : -1] ] [ B.length ][ B.data ]
        //         ^ creationCodeA                ^ creationCodeB

        _creationCodeContractB = CodeDeployer.deploy(creationCodeB);

        // We now restore the original contents of `creationCode` by writing back the original length and A's last byte.
        assembly {
            mstore(creationCodeA, creationCodeSize)
            mstore(creationCodeB, lastByteA)
        }
    }

    /**
     * @dev Returns the two addresses where the creation code of the contract crated by this factory is stored.
     */
    function getCreationCodeContracts() public view returns (address contractA, address contractB) {
        return (_creationCodeContractA, _creationCodeContractB);
    }

    /**
     * @dev Returns the creation code of the contract this factory creates.
     */
    function getCreationCode() public view returns (bytes memory) {
        return _getCreationCodeWithArgs("");
    }

    /**
     * @dev Returns the creation code that will result in a contract being deployed with `constructorArgs`.
     */
    function _getCreationCodeWithArgs(bytes memory constructorArgs) private view returns (bytes memory code) {
        // This function exists because `abi.encode()` cannot be instructed to place its result at a specific address.
        // We need for the ABI-encoded constructor arguments to be located immediately after the creation code, but
        // cannot rely on `abi.encodePacked()` to perform concatenation as that would involve copying the creation code,
        // which would be prohibitively expensive.
        // Instead, we compute the creation code in a pre-allocated array that is large enough to hold *both* the
        // creation code and the constructor arguments, and then copy the ABI-encoded arguments (which should not be
        // overly long) right after the end of the creation code.

        // Immutable variables cannot be used in assembly, so we store them in the stack first.
        address creationCodeContractA = _creationCodeContractA;
        uint256 creationCodeSizeA = _creationCodeSizeA;
        address creationCodeContractB = _creationCodeContractB;
        uint256 creationCodeSizeB = _creationCodeSizeB;

        uint256 creationCodeSize = creationCodeSizeA + creationCodeSizeB;
        uint256 constructorArgsSize = constructorArgs.length;

        uint256 codeSize = creationCodeSize + constructorArgsSize;

        assembly {
            // First, we allocate memory for `code` by retrieving the free memory pointer and then moving it ahead of
            // `code` by the size of the creation code plus constructor arguments, and 32 bytes for the array length.
            code := mload(0x40)
            mstore(0x40, add(code, add(codeSize, 32)))

            // We now store the length of the code plus constructor arguments.
            mstore(code, codeSize)

            // Next, we concatenate the creation code stored in A and B.
            let dataStart := add(code, 32)
            extcodecopy(creationCodeContractA, dataStart, 0, creationCodeSizeA)
            extcodecopy(creationCodeContractB, add(dataStart, creationCodeSizeA), 0, creationCodeSizeB)
        }

        // Finally, we copy the constructorArgs to the end of the array. Unfortunately there is no way to avoid this
        // copy, as it is not possible to tell Solidity where to store the result of `abi.encode()`.
        uint256 constructorArgsDataPtr;
        uint256 constructorArgsCodeDataPtr;
        assembly {
            constructorArgsDataPtr := add(constructorArgs, 32)
            constructorArgsCodeDataPtr := add(add(code, 32), creationCodeSize)
        }

        _memcpy(constructorArgsCodeDataPtr, constructorArgsDataPtr, constructorArgsSize);
    }

    /**
     * @dev Deploys a contract with constructor arguments. To create `constructorArgs`, call `abi.encode()` with the
     * contract's constructor arguments, in order.
     */
    function _create(bytes memory constructorArgs) internal virtual returns (address) {
        bytes memory creationCode = _getCreationCodeWithArgs(constructorArgs);

        address destination;
        assembly {
            destination := create(0, add(creationCode, 32), mload(creationCode))
        }

        if (destination == address(0)) {
            // Bubble up inner revert reason
            // solhint-disable-next-line no-inline-assembly
            assembly {
                returndatacopy(0, 0, returndatasize())
                revert(0, returndatasize())
            }
        }

        return destination;
    }

    // From
    // https://github.com/Arachnid/solidity-stringutils/blob/b9a6f6615cf18a87a823cbc461ce9e140a61c305/src/strings.sol
    function _memcpy(
        uint256 dest,
        uint256 src,
        uint256 len
    ) private pure {
        // Copy word-length chunks while possible
        for (; len >= 32; len -= 32) {
            assembly {
                mstore(dest, mload(src))
            }
            dest += 32;
            src += 32;
        }

        // Copy remaining bytes
        uint256 mask = 256**(32 - len) - 1;
        assembly {
            let srcpart := and(mload(src), not(mask))
            let destpart := and(mload(dest), mask)
            mstore(dest, or(destpart, srcpart))
        }
    }
}

// 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 "@balancer-labs/v2-interfaces/contracts/vault/IVault.sol";
import "@balancer-labs/v2-interfaces/contracts/pool-utils/IBasePoolSplitCodeFactory.sol";

import "@balancer-labs/v2-solidity-utils/contracts/helpers/BaseSplitCodeFactory.sol";
import "@balancer-labs/v2-solidity-utils/contracts/helpers/SingletonAuthentication.sol";

/**
 * @notice Base contract for Pool factories.
 *
 * Pools are deployed from factories to allow third parties to reason about them. Unknown Pools may have arbitrary
 * logic: being able to assert that a Pool's behavior follows certain rules (those imposed by the contracts created by
 * the factory) is very powerful.
 *
 * @dev By using the split code mechanism, we can deploy Pools with creation code so large that a regular factory
 * contract would not be able to store it.
 *
 * Since we expect to release new versions of pool types regularly - and the blockchain is forever - versioning will
 * become increasingly important. Governance can deprecate a factory by calling `disable`, which will permanently
 * prevent the creation of any future pools from the factory.
 */
abstract contract BasePoolSplitCodeFactory is IBasePoolSplitCodeFactory, BaseSplitCodeFactory, SingletonAuthentication {
    mapping(address => bool) private _isPoolFromFactory;
    bool private _disabled;

    event PoolCreated(address indexed pool);
    event FactoryDisabled();

    constructor(IVault vault, bytes memory creationCode)
        BaseSplitCodeFactory(creationCode)
        SingletonAuthentication(vault)
    {
        // solhint-disable-previous-line no-empty-blocks
    }

    function isPoolFromFactory(address pool) external view override returns (bool) {
        return _isPoolFromFactory[pool];
    }

    function isDisabled() public view override returns (bool) {
        return _disabled;
    }

    function disable() external override authenticate {
        _ensureEnabled();

        _disabled = true;

        emit FactoryDisabled();
    }

    function _ensureEnabled() internal view {
        _require(!isDisabled(), Errors.DISABLED);
    }

    function _create(bytes memory constructorArgs) internal virtual override returns (address) {
        _ensureEnabled();

        address pool = super._create(constructorArgs);

        _isPoolFromFactory[pool] = true;

        emit PoolCreated(pool);

        return pool;
    }
}

// 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 "../solidity-utils/helpers/IAuthentication.sol";

interface IBasePoolSplitCodeFactory is IAuthentication {
    /**
     * @dev Returns true if `pool` was created by this factory.
     */
    function isPoolFromFactory(address pool) external view returns (bool);

    /**
     * @dev Check whether the derived factory has been disabled.
     */
    function isDisabled() external view returns (bool);

    /**
     * @dev Disable the factory, preventing the creation of more pools. Already existing pools are unaffected.
     * Once a factory is disabled, it cannot be re-enabled.
     */
    function disable() 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;

import "@balancer-labs/v2-interfaces/contracts/liquidity-mining/IAuthorizerAdaptor.sol";
import "@balancer-labs/v2-interfaces/contracts/vault/IVault.sol";

import "./Authentication.sol";

abstract contract SingletonAuthentication is Authentication {
    IVault private immutable _vault;

    // Use the contract's own address to disambiguate action identifiers
    constructor(IVault vault) Authentication(bytes32(uint256(address(this)))) {
        _vault = vault;
    }

    /**
     * @notice Returns the Balancer Vault
     */
    function getVault() public view returns (IVault) {
        return _vault;
    }

    /**
     * @notice Returns the Authorizer
     */
    function getAuthorizer() public view returns (IAuthorizer) {
        return getVault().getAuthorizer();
    }

    function _canPerform(bytes32 actionId, address account) internal view override returns (bool) {
        return getAuthorizer().canPerform(actionId, account, address(this));
    }

    function _canPerform(
        bytes32 actionId,
        address account,
        address where
    ) internal view returns (bool) {
        return getAuthorizer().canPerform(actionId, account, where);
    }
}

// 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 "../solidity-utils/helpers/IAuthentication.sol";
import "../vault/IVault.sol";

interface IAuthorizerAdaptor is IAuthentication {
    /**
     * @notice Returns the Balancer Vault
     */
    function getVault() external view returns (IVault);

    /**
     * @notice Returns the Authorizer
     */
    function getAuthorizer() external view returns (IAuthorizer);

    /**
     * @notice Performs an arbitrary function call on a target contract, provided the caller is authorized to do so.
     * @param target - Address of the contract to be called
     * @param data - Calldata to be sent to the target contract
     * @return The bytes encoded return value from the performed function call
     */
    function performAction(address target, bytes calldata data) external payable returns (bytes memory);
}

// 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 "@balancer-labs/v2-interfaces/contracts/vault/IVault.sol";
import "@balancer-labs/v2-interfaces/contracts/standalone-utils/IProtocolFeePercentagesProvider.sol";

import "@balancer-labs/v2-pool-utils/contracts/factories/BasePoolSplitCodeFactory.sol";
import "@balancer-labs/v2-pool-utils/contracts/factories/FactoryWidePauseWindow.sol";

import "./ComposableStablePool.sol";

contract ComposableStablePoolFactory is BasePoolSplitCodeFactory, FactoryWidePauseWindow {
    IProtocolFeePercentagesProvider private _protocolFeeProvider;

    constructor(IVault vault, IProtocolFeePercentagesProvider protocolFeeProvider)
        BasePoolSplitCodeFactory(vault, type(ComposableStablePool).creationCode)
    {
        _protocolFeeProvider = protocolFeeProvider;
    }

    /**
     * @dev Deploys a new `ComposableStablePool`.
     */
    function create(
        string memory name,
        string memory symbol,
        IERC20[] memory tokens,
        uint256 amplificationParameter,
        IRateProvider[] memory rateProviders,
        uint256[] memory tokenRateCacheDurations,
        bool[] memory exemptFromYieldProtocolFeeFlags,
        uint256 swapFeePercentage,
        address owner
    ) external returns (ComposableStablePool) {
        (uint256 pauseWindowDuration, uint256 bufferPeriodDuration) = getPauseConfiguration();
        return
            ComposableStablePool(
                _create(
                    abi.encode(
                        ComposableStablePool.NewPoolParams({
                            vault: getVault(),
                            protocolFeeProvider: _protocolFeeProvider,
                            name: name,
                            symbol: symbol,
                            tokens: tokens,
                            rateProviders: rateProviders,
                            tokenRateCacheDurations: tokenRateCacheDurations,
                            exemptFromYieldProtocolFeeFlags: exemptFromYieldProtocolFeeFlags,
                            amplificationParameter: amplificationParameter,
                            swapFeePercentage: swapFeePercentage,
                            pauseWindowDuration: pauseWindowDuration,
                            bufferPeriodDuration: bufferPeriodDuration,
                            owner: owner
                        })
                    )
                )
            );
    }
}

// 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;

/**
 * @dev Utility to create Pool factories for Pools that use the `TemporarilyPausable` contract.
 *
 * By calling `TemporarilyPausable`'s constructor with the result of `getPauseConfiguration`, all Pools created by this
 * factory will share the same Pause Window end time, after which both old and new Pools will not be pausable.
 */
contract FactoryWidePauseWindow {
    // This contract relies on timestamps in a similar way as `TemporarilyPausable` does - the same caveats apply.
    // solhint-disable not-rely-on-time

    uint256 private constant _INITIAL_PAUSE_WINDOW_DURATION = 90 days;
    uint256 private constant _BUFFER_PERIOD_DURATION = 30 days;

    // Time when the pause window for all created Pools expires, and the pause window duration of new Pools becomes
    // zero.
    uint256 private immutable _poolsPauseWindowEndTime;

    constructor() {
        _poolsPauseWindowEndTime = block.timestamp + _INITIAL_PAUSE_WINDOW_DURATION;
    }

    /**
     * @dev Returns the current `TemporarilyPausable` configuration that will be applied to Pools created by this
     * factory.
     *
     * `pauseWindowDuration` will decrease over time until it reaches zero, at which point both it and
     * `bufferPeriodDuration` will be zero forever, meaning deployed Pools will not be pausable.
     */
    function getPauseConfiguration() public view returns (uint256 pauseWindowDuration, uint256 bufferPeriodDuration) {
        uint256 currentTime = block.timestamp;
        if (currentTime < _poolsPauseWindowEndTime) {
            // The buffer period is always the same since its duration is related to how much time is needed to respond
            // to a potential emergency. The Pause Window duration however decreases as the end time approaches.

            pauseWindowDuration = _poolsPauseWindowEndTime - currentTime; // No need for checked arithmetic.
            bufferPeriodDuration = _BUFFER_PERIOD_DURATION;
        } else {
            // After the end time, newly created Pools have no Pause Window, nor Buffer Period (since they are not
            // pausable in the first place).

            pauseWindowDuration = 0;
            bufferPeriodDuration = 0;
        }
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 9999
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "abi"
      ]
    }
  },
  "libraries": {}
}

• No Contract Security Audit Submitted- Submit Audit Here

[{"inputs":[{"components":[{"internalType":"contract IVault","name":"vault","type":"address"},{"internalType":"contract IProtocolFeePercentagesProvider","name":"protocolFeeProvider","type":"address"},{"internalType":"string","name":"name","type":"string"},{"internalType":"string","name":"symbol","type":"string"},{"internalType":"contract IERC20[]","name":"tokens","type":"address[]"},{"internalType":"contract IRateProvider[]","name":"rateProviders","type":"address[]"},{"internalType":"uint256[]","name":"tokenRateCacheDurations","type":"uint256[]"},{"internalType":"bool[]","name":"exemptFromYieldProtocolFeeFlags","type":"bool[]"},{"internalType":"uint256","name":"amplificationParameter","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"}],"internalType":"struct ComposableStablePool.NewPoolParams","name":"params","type":"tuple"}],"stateMutability":"nonpayable","type":"constructor"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"startValue","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"endValue","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"startTime","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"endTime","type":"uint256"}],"name":"AmpUpdateStarted","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"currentValue","type":"uint256"}],"name":"AmpUpdateStopped","type":"event"},{"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":true,"internalType":"uint256","name":"feeType","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"protocolFeePercentage","type":"uint256"}],"name":"ProtocolFeePercentageCacheUpdated","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"bool","name":"enabled","type":"bool"}],"name":"RecoveryModeStateChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"swapFeePercentage","type":"uint256"}],"name":"SwapFeePercentageChanged","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"uint256","name":"tokenIndex","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"rate","type":"uint256"}],"name":"TokenRateCacheUpdated","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"uint256","name":"tokenIndex","type":"uint256"},{"indexed":true,"internalType":"contract IRateProvider","name":"provider","type":"address"},{"indexed":false,"internalType":"uint256","name":"cacheDuration","type":"uint256"}],"name":"TokenRateProviderSet","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":"DELEGATE_PROTOCOL_SWAP_FEES_SENTINEL","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"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":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"amount","type":"uint256"}],"name":"decreaseAllowance","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"disableRecoveryMode","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"enableRecoveryMode","outputs":[],"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":"getActualSupply","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getAmplificationParameter","outputs":[{"internalType":"uint256","name":"value","type":"uint256"},{"internalType":"bool","name":"isUpdating","type":"bool"},{"internalType":"uint256","name":"precision","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getAuthorizer","outputs":[{"internalType":"contract IAuthorizer","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getBptIndex","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getDomainSeparator","outputs":[{"internalType":"bytes32","name":"","type":"bytes32"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getLastJoinExitData","outputs":[{"internalType":"uint256","name":"lastJoinExitAmplification","type":"uint256"},{"internalType":"uint256","name":"lastPostJoinExitInvariant","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getMinimumBpt","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"pure","type":"function"},{"inputs":[{"internalType":"address","name":"account","type":"address"}],"name":"getNextNonce","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":[{"internalType":"uint256","name":"feeType","type":"uint256"}],"name":"getProtocolFeePercentageCache","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getProtocolFeesCollector","outputs":[{"internalType":"contract IProtocolFeesCollector","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getProtocolSwapFeeDelegation","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getRateProviders","outputs":[{"internalType":"contract IRateProvider[]","name":"","type":"address[]"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getScalingFactors","outputs":[{"internalType":"uint256[]","name":"","type":"uint256[]"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getSwapFeePercentage","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"contract IERC20","name":"token","type":"address"}],"name":"getTokenRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"contract IERC20","name":"token","type":"address"}],"name":"getTokenRateCache","outputs":[{"internalType":"uint256","name":"rate","type":"uint256"},{"internalType":"uint256","name":"oldRate","type":"uint256"},{"internalType":"uint256","name":"duration","type":"uint256"},{"internalType":"uint256","name":"expires","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"getVault","outputs":[{"internalType":"contract IVault","name":"","type":"address"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"inRecoveryMode","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"spender","type":"address"},{"internalType":"uint256","name":"addedValue","type":"uint256"}],"name":"increaseAllowance","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract IERC20","name":"token","type":"address"}],"name":"isTokenExemptFromYieldProtocolFee","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","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":"swapRequest","type":"tuple"},{"internalType":"uint256[]","name":"balances","type":"uint256[]"},{"internalType":"uint256","name":"indexIn","type":"uint256"},{"internalType":"uint256","name":"indexOut","type":"uint256"}],"name":"onSwap","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"pause","outputs":[],"stateMutability":"nonpayable","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":"contract IERC20","name":"token","type":"address"},{"internalType":"bytes","name":"poolConfig","type":"bytes"}],"name":"setAssetManagerPoolConfig","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"swapFeePercentage","type":"uint256"}],"name":"setSwapFeePercentage","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract IERC20","name":"token","type":"address"},{"internalType":"uint256","name":"duration","type":"uint256"}],"name":"setTokenRateCacheDuration","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"uint256","name":"rawEndValue","type":"uint256"},{"internalType":"uint256","name":"endTime","type":"uint256"}],"name":"startAmplificationParameterUpdate","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"stopAmplificationParameterUpdate","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"},{"inputs":[],"name":"unpause","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[],"name":"updateProtocolFeePercentageCache","outputs":[],"stateMutability":"nonpayable","type":"function"},{"inputs":[{"internalType":"contract IERC20","name":"token","type":"address"}],"name":"updateTokenRateCache","outputs":[],"stateMutability":"nonpayable","type":"function"}]

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

-----Decoded View---------------
Arg [0] : params (tuple): System.Collections.Generic.List`1[Nethereum.ABI.FunctionEncoding.ParameterOutput]

-----Encoded View---------------
34 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000000000000000020
Arg [1] : 000000000000000000000000ba12222222228d8ba445958a75a0704d566bf2c8
Arg [2] : 000000000000000000000000acaac3e6d6df918bf3c809dfc7d42de0e4a72d4c
Arg [3] : 00000000000000000000000000000000000000000000000000000000000001a0
Arg [4] : 00000000000000000000000000000000000000000000000000000000000001e0
Arg [5] : 0000000000000000000000000000000000000000000000000000000000000220
Arg [6] : 00000000000000000000000000000000000000000000000000000000000002a0
Arg [7] : 0000000000000000000000000000000000000000000000000000000000000320
Arg [8] : 00000000000000000000000000000000000000000000000000000000000003a0
Arg [9] : 00000000000000000000000000000000000000000000000000000000000005c0
Arg [10] : 00000000000000000000000000000000000000000000000000005af3107a4000
Arg [11] : 000000000000000000000000000000000000000000000000000000000060df89
Arg [12] : 0000000000000000000000000000000000000000000000000000000000278d00
Arg [13] : 000000000000000000000000d9e2889ac8c6fff8e94c7c1beeade1352df1a513
Arg [14] : 0000000000000000000000000000000000000000000000000000000000000015
Arg [15] : 5374656164792042656574732c20426f6f737465640000000000000000000000
Arg [16] : 000000000000000000000000000000000000000000000000000000000000000a
Arg [17] : 62622d72662d6155534400000000000000000000000000000000000000000000
Arg [18] : 0000000000000000000000000000000000000000000000000000000000000003
Arg [19] : 000000000000000000000000888a6195d42a95e80d81e1c506172772a80b80bc
Arg [20] : 0000000000000000000000009253d7e1b42fa01ede2c53f3a21b3b4d13239cd4
Arg [21] : 000000000000000000000000ba7834bb3cd2db888e6a06fb45e82b4225cd0c71
Arg [22] : 0000000000000000000000000000000000000000000000000000000000000003
Arg [23] : 000000000000000000000000888a6195d42a95e80d81e1c506172772a80b80bc
Arg [24] : 0000000000000000000000009253d7e1b42fa01ede2c53f3a21b3b4d13239cd4
Arg [25] : 000000000000000000000000ba7834bb3cd2db888e6a06fb45e82b4225cd0c71
Arg [26] : 0000000000000000000000000000000000000000000000000000000000000003
Arg [27] : 0000000000000000000000000000000000000000000000000000000000002a30
Arg [28] : 0000000000000000000000000000000000000000000000000000000000002a30
Arg [29] : 0000000000000000000000000000000000000000000000000000000000002a30
Arg [30] : 0000000000000000000000000000000000000000000000000000000000000003
Arg [31] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [32] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [33] : 0000000000000000000000000000000000000000000000000000000000000000

2610:46004:49:-:0;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;1274:631:24;;;;;;:::i;:::-;;:::i;:::-;;;;;;;:::i;:::-;;;;;;;;6082:97:49;;;:::i;2254:81:45:-;;;:::i;:::-;;;;;;;:::i;4857:164::-;;;;;;:::i;:::-;;:::i;:::-;;;;;;;:::i;5812:394:27:-;;;:::i;:::-;;6720:117;;;:::i;3500:106:45:-;;;:::i;3274:363:39:-;;;:::i;:::-;;;;;;;;;:::i;28934:120:25:-;;;:::i;:::-;;;;;;;:::i;14685:346:53:-;;;:::i;:::-;;;;;;;:::i;2575:655:23:-;;;;;;:::i;:::-;;:::i;6715:383:52:-;;;;;;:::i;:::-;;:::i;5907:1301:55:-;;;;;;:::i;:::-;;:::i;3156:81:45:-;;;:::i;:::-;;;;;;;:::i;2243:113:46:-;;;:::i;8602:156:25:-;;;;;;:::i;:::-;;:::i;6993:91::-;;;:::i;6269:211:45:-;;;;;;:::i;:::-;;:::i;19620:534:51:-;;;:::i;:::-;;;;;;;;:::i;12123:75:25:-;;;:::i;10904:214::-;;;;;;:::i;:::-;;:::i;3432:100:28:-;;;:::i;4246:128:52:-;;;;;;:::i;:::-;;:::i;7805:185:25:-;;;:::i;20445:913::-;;;;;;:::i;:::-;;:::i;:::-;;;;;;;;:::i;40876:1933:49:-;;;:::i;3034:299:55:-;;;:::i;:::-;;;;;;;;;:::i;5050:560:27:-;;;;;;:::i;:::-;;:::i;4022:117:45:-;;;;;;:::i;:::-;;:::i;15869:2311:25:-;;;;;;:::i;:::-;;:::i;:::-;;;;;;;;:::i;2006:113:46:-;;;;;;:::i;:::-;;:::i;5256:599:52:-;;;;;;:::i;:::-;;:::i;:::-;;;;;;;;;;:::i;10238:86:53:-;;;:::i;11670:72:25:-;;;:::i;2607:430:32:-;;;;;;:::i;:::-;;:::i;43603:211:49:-;;;:::i;18872:911:25:-;;;;;;:::i;:::-;;:::i;1751:80:26:-;;;:::i;:::-;;;;;;;:::i;1797:79:23:-;;;:::i;1303:121:35:-;;;;;;:::i;:::-;;:::i;2448:85:45:-;;;:::i;3356:429:23:-;;;;;;:::i;:::-;;:::i;4342:170:45:-;;;;;;:::i;:::-;;:::i;1837:101:26:-;;;:::i;16414:167:53:-;;;;;;:::i;:::-;;:::i;9616:133:25:-;;;:::i;3780:102:28:-;;;:::i;8184:127:25:-;;;:::i;1437:508:46:-;;;;;;:::i;:::-;;:::i;13386:2321:25:-;;;;;;:::i;:::-;;:::i;2178:254:23:-;;;;;;:::i;:::-;;:::i;2858:80:27:-;;;:::i;7319:259:55:-;;;:::i;1184:113:35:-;;;:::i;6142:414:52:-;;;;;;:::i;:::-;;:::i;1274:631:24:-;1479:7;1450:11;:18;;;13025:68:25;13056:10;:8;:10::i;:::-;-1:-1:-1;;;;;13034:33:25;:10;:33;6194:3:7;13025:8:25;:68::i;:::-;13103:55;13122:11;:9;:11::i;:::-;13112:6;:21;12526:3:7;13103:8:25;:55::i;:::-;1498:21:24::1;:19;:21::i;:::-;1530:54;1547:7;1556:8;1566:17;:15;:17::i;:::-;1530:16;:54::i;:::-;1594:31;1628:17;:15;:17::i;:::-;1594:51:::0;-1:-1:-1;1695:24:24::1;1675:16:::0;;:44:::1;::::0;::::1;;;;;;;:223;;1827:71;1841:11;1854:8;1864:7;1873:8;1883:14;1827:13;:71::i;:::-;1675:223;;;1738:70;1751:11;1764:8;1774:7;1783:8;1793:14;1738:12;:70::i;:::-;1656:242:::0;1274:631;-1:-1:-1;;;;;;;1274:631:24:o;6082:97:49:-;6130:7;6156:16;:14;:16::i;:::-;6149:23;;6082:97;:::o;2254:81:45:-;2323:5;2316:12;;;;;;;;;;;;;-1:-1:-1;;2316:12:45;;;;;;;;;;;;;;;;;;;;;;;;;;2291:13;;2316:12;;2323:5;;2316:12;;;2323:5;2316:12;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;2254:81;:::o;4857:164::-;4940:4;4956:37;4965:10;4977:7;4986:6;4956:8;:37::i;:::-;-1:-1:-1;5010:4:45;4857:164;;;;;:::o;5812:394:27:-;5875:31;:29;:31::i;:::-;5921:30;:28;:30::i;:::-;5917:128;;;5967:67;5991:20;4359:1:14;5967:23:27;:67::i;:::-;6055:68;6079:20;4446:1:14;6055:23:27;:68::i;:::-;6133:66;6157:20;4485:1:14;6133:23:27;:66::i;:::-;5812:394::o;6720:117::-;6804:26;6720:117;:::o;3500:106:45:-;3587:12;;3500:106;:::o;3274:363:39:-;3377:11;3402:26;3442:27;3504:14;:12;:14::i;:::-;3503:15;3494:24;;3549;:22;:24::i;:::-;3528:45;;3605:25;:23;:25::i;:::-;3583:47;;3274:363;;;:::o;28934:120:25:-;28995:16;29030:17;:15;:17::i;14685:346:53:-;14736:22;14770:19;14792:17;:15;:17::i;:::-;14770:39;;14819:32;14874:11;14854:32;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;14854:32:53;;14819:67;;14902:9;14897:101;14921:11;14917:1;:15;14897:101;;;14968:19;14985:1;14968:16;:19::i;:::-;14953:9;14963:1;14953:12;;;;;;;;-1:-1:-1;;;;;14953:34:53;;;;:12;;;;;;;;;;;:34;-1:-1:-1;14934:3:53;14897:101;;;-1:-1:-1;15015:9:53;-1:-1:-1;;14685:346:53;:::o;2575:655:23:-;2703:4;2719:24;2746:29;2756:6;2764:10;2746:9;:29::i;:::-;2719:56;-1:-1:-1;2785:101:23;-1:-1:-1;;;;;2794:20:23;;:10;:20;;:50;;;2838:6;2818:16;:26;;2794:50;10712:3:7;2785:8:23;:101::i;:::-;2897:36;2907:6;2915:9;2926:6;2897:9;:36::i;:::-;-1:-1:-1;;;;;2948:20:23;;:10;:20;;;;:55;;-1:-1:-1;;;2972:31:23;;;2948:55;2944:258;;;3136:55;3145:6;3153:10;3184:6;3165:16;:25;3136:8;:55::i;:::-;-1:-1:-1;3219:4:23;;2575:655;-1:-1:-1;;;;2575:655:23:o;6715:383:52:-;6778:13;6794:21;6809:5;6794:14;:21::i;:::-;6778:37;;6826:22;6851:23;6868:5;6851:16;:23::i;:::-;6826:48;-1:-1:-1;6884:83:52;-1:-1:-1;;;;;6893:31:52;;;;9022:3:7;6884:8:52;:83::i;:::-;6977:16;6996:23;;;:16;:23;;;;;;:37;;:35;:37::i;:::-;6977:56;;7043:48;7065:5;7072:8;7082;7043:21;:48::i;:::-;6715:383;;;;:::o;5907:1301:55:-;2276:21:32;:19;:21::i;:::-;6020:60:55::1;1275:1:54;6029:11:55;:34;;6565:3:7;6020:8:55;:60::i;:::-;6090;1319:4:54;6099:11:55;:34;;6610:3:7;6090:8:55;:60::i;:::-;6161:16;6180:34;6189:7;6198:15;6180:8;:34::i;:::-;6161:53;;6224:69;1823:6;6233:8;:28;;7518:3:7;6224:8:55;:69::i;:::-;6305:20;6327:15:::0;6346:28:::1;:26;:28::i;:::-;6304:70;;;;6384:48;6394:10;6393:11;7574:3:7;6384:8:55;:48::i;:::-;6443:16;6462:48;6471:11;1372:3:54;6462:8:55;:48::i;:::-;6443:67;;6817:17;6848:12;6837:8;:23;:197;;6962:72;6973:30;6982:6;6990:12;6973:8;:30::i;:::-;7005:28;7014:8;7024;7005;:28::i;:::-;6962:10;:72::i;:::-;6837:197;;;6875:72;6886:26;6895:6;6903:8;6886;:26::i;:::-;6914:32;6923:12;6937:8;6914;:32::i;6875:72::-;6817:217;;7044:75;1889:1;7053:9;:39;;7629:3:7;7044:8:55;:75::i;:::-;7130:71;7152:12;7166:8;7176:15;7193:7;7130:21;:71::i;:::-;2307:1:32;;;;;5907:1301:55::0;;:::o;3156:81:45:-;3221:9;;;;3156:81;:::o;2243:113:46:-;2303:7;2329:20;:18;:20::i;8602:156:25:-;2276:21:32;:19;:21::i;:::-;3090:18:39::1;:16;:18::i;:::-;8711:40:25::2;8733:17;8711:21;:40::i;:::-;8602:156:::0;:::o;6993:91::-;7070:7;6993:91;:::o;6269:211:45:-;6382:10;6357:4;6403:23;;;:11;:23;;;;;;;;-1:-1:-1;;;;;6403:32:45;;;;;;;;;;6357:4;;6373:79;;6403:32;;:48;;6440:10;6403:36;:48::i;:::-;6373:8;:79::i;19620:534:51:-;19798:17;;19696:33;;;;19854:126;19798:17;2500:3;2725:2;19854:18;:126::i;:::-;19826:154;-1:-1:-1;20019:128:51;:7;2430:1;2500:3;20019:18;:128::i;:::-;19991:156;;19620:534;;;:::o;12123:75:25:-;2276:21:32;:19;:21::i;:::-;12174:17:25::1;12185:5;12174:10;:17::i;10904:214::-:0;2276:21:32;:19;:21::i;:::-;3090:18:39::1;:16;:18::i;:::-;11066:45:25::2;11093:5;11100:10;11066:26;:45::i;:::-;10904:214:::0;;:::o;3432:100:28:-;2276:21:32;:19;:21::i;:::-;3503:22:28::1;3520:4;3503:16;:22::i;4246:128:52:-:0;4305:7;4331:36;4345:21;4360:5;4345:14;:21::i;:::-;4331:13;:36::i;:::-;4324:43;;4246:128;;;;:::o;7805:185:25:-;7901:9;;7875:7;;7901:82;;4205:3;4440:2;7901:20;:82::i;20445:913::-;20714:13;20729:27;20768:71;20804:8;:15;20821:17;:15;:17::i;:::-;20768:35;:71::i;:::-;20850:255;20876:6;20896;20916:9;20939:8;20961:15;20990:25;21029:8;21051:11;21076:19;20850:12;:255::i;:::-;20445:913;;;;;;;;;;:::o;40876:1933:49:-;40935:7;41240:25;41279:21;41314:25;41353:23;41390:43;41446:23;:21;:23::i;:::-;41226:243;;-1:-1:-1;41226:243:49;;-1:-1:-1;41226:243:49;-1:-1:-1;41226:243:49;-1:-1:-1;41226:243:49;-1:-1:-1;41643:25:49;41671:36;41226:243;;41671:17;:36::i;:::-;41643:64;;41886:18;41910:28;:26;:28::i;:::-;41885:53;;;42454:24;42496:15;42482:10;:29;42481:148;;42577:52;42608:10;42620:8;42577:30;:52::i;:::-;42481:148;;;42527:35;42481:148;42454:175;-1:-1:-1;42759:43:49;42454:175;42784:17;42759:24;:43::i;:::-;42752:50;;;;;;;;;;40876:1933;:::o;3034:299:55:-;3131:13;3158:15;3187:17;3251:28;:26;:28::i;:::-;3229:50;;;;-1:-1:-1;1372:3:54;;-1:-1:-1;3034:299:55;-1:-1:-1;3034:299:55:o;5050:560:27:-;5127:7;5150:16;:14;:16::i;:::-;5146:55;;;-1:-1:-1;5189:1:27;5182:8;;5146:55;5215:31;5211:393;;5269:30;:28;:30::i;:::-;:81;;5319:31;5269:81;;;5302:6;:14;;;5269:81;5262:88;;;;5211:393;4446:1:14;5371:7:27;:32;5367:237;;;-1:-1:-1;5426:6:27;:15;;;;;;5419:22;;5367:237;4485:1:14;5462:7:27;:30;5458:146;;;-1:-1:-1;5515:6:27;:13;;;;;;5508:20;;5458:146;5559:34;12459:3:7;5559:7:27;:34::i;4022:117:45:-;-1:-1:-1;;;;;4114:18:45;4088:7;4114:18;;;;;;;;;;;;4022:117::o;15869:2311:25:-;16157:16;16175;16140:6;13025:68;13056:10;:8;:10::i;13025:68::-;13103:55;13122:11;:9;:11::i;13103:55::-;16203:27:::1;16240:19;16694:33;:8;:31;:33::i;:::-;16690:1175;;;16809:23;:21;:23::i;:::-;17033:54;17053:8;17063:13;:11;:13::i;:::-;17078:8;17033:19;:54::i;:::-;17005:82:::0;-1:-1:-1;17005:82:25;-1:-1:-1;16690:1175:25::1;;;17199:21;:19;:21::i;:::-;17235:31;17269:17;:15;:17::i;:::-;17235:51;;17300:39;17314:8;17324:14;17300:13;:39::i;:::-;17382:336;17411:6;17435;17459:9;17486:8;17512:15;17545:16;:14;:16::i;:::-;:48;;17568:25;17545:48;;;17564:1;17545:48;17664:14;17696:8;17382:11;:336::i;:::-;17354:364:::0;-1:-1:-1;17354:364:25;-1:-1:-1;17807:47:25::1;17354:364:::0;17839:14;17807:19:::1;:47::i;:::-;16690:1175;;17970:36;17986:6;17994:11;17970:15;:36::i;:::-;18130:10;18156:8;:15;18142:30;;;;;;;;::::0;::::1;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::0;-1:-1:-1;18142:30:25::1;;18122:51;;;;;;13168:1;15869:2311:::0;;;;;;;;;;;:::o;2006:113:46:-;2067:7;2093:19;2106:5;2093:12;:19::i;5256:599:52:-;5357:12;5383:15;5412:16;5442:15;5482:13;5498:16;:39;5515:21;5530:5;5515:14;:21::i;:::-;5498:39;;;;;;;;;;;-1:-1:-1;5498:39:52;;;-1:-1:-1;5646:71:52;5655:19;;;9022:3:7;5646:8:52;:71::i;:::-;5735:22;:5;:20;:22::i;:::-;5728:29;;5777:18;:5;:16;:18::i;:::-;5767:28;;5827:21;:5;:19;:21::i;:::-;5256:599;;;;-1:-1:-1;5805:43:52;;5256:599;-1:-1:-1;;;5256:599:52:o;10238:86:53:-;10308:9;10238:86;:::o;11670:72:25:-;2276:21:32;:19;:21::i;:::-;11719:16:25::1;11730:4;11719:10;:16::i;2607:430:32:-:0;2675:7;2996:22;3020:8;2979:50;;;;;;;;;:::i;:::-;;;;;;;;;;;;;2969:61;;;;;;2962:68;;2607:430;;;:::o;43603:211:49:-;43653:7;43675:21;43698:25;43731:23;:21;:23::i;:::-;43672:82;;;;;;;43771:36;43789:17;43771:13;:17;;:36;;;;:::i;:::-;43764:43;;;;43603:211;:::o;18872:911:25:-;19141:14;19157:26;19195:71;19231:8;:15;19248:17;:15;:17::i;19195:71::-;19277:253;19303:6;19323;19343:9;19366:8;19388:15;19417:25;19456:8;19478:11;19503:17;19277:12;:253::i;1751:80:26:-;1818:6;1751:80;:::o;1797:79:23:-;1863:6;1797:79;:::o;1303:121:35:-;-1:-1:-1;;;;;1398:19:35;1372:7;1398:19;;;:10;:19;;;;;;;1303:121::o;2448:85:45:-;2519:7;2512:14;;;;;;;;;;;;;-1:-1:-1;;2512:14:45;;;;;;;;;;;;;;;;;;;;;;;;;;2487:13;;2512:14;;2519:7;;2512:14;;;2519:7;2512:14;;;;;;;;;;;;;;;;;;;;;;;;3356:429:23;3441:4;3457:24;3484:30;3494:10;3506:7;3484:9;:30::i;:::-;3457:57;;3539:16;3529:6;:26;3525:232;;3571:32;3580:10;3592:7;3601:1;3571:8;:32::i;:::-;3525:232;;;3690:56;3699:10;3711:7;3739:6;3720:16;:25;3690:8;:56::i;:::-;-1:-1:-1;3774:4:23;;3356:429;-1:-1:-1;;;3356:429:23:o;4342:170:45:-;4428:4;4444:40;4454:10;4466:9;4477:6;4444:9;:40::i;1837:101:26:-;1885:11;1915:16;:14;:16::i;16414:167:53:-;16494:4;16517:57;16552:21;16567:5;16552:14;:21::i;:::-;16517:34;:57::i;9616:133:25:-;9695:9;;9672:4;;9695:47;;4267:3;9695:20;:47::i;3780:102:28:-;2276:21:32;:19;:21::i;:::-;3852:23:28::1;3869:5;3852:16;:23::i;8184:127:25:-:0;8282:22;8184:127;:::o;1437:508:46:-;1645:18;921:109;1718:5;1725:7;1734:5;1741:19;1754:5;1741:12;:19::i;:::-;1762:8;1689:82;;;;;;;;;;;;;:::i;:::-;;;;;;;;;;;;;1666:115;;;;;;1645:136;;1792:104;1814:5;1821:10;1833:26;1851:1;1854;1857;1833:17;:26::i;:::-;1861:8;12759:3:7;1792:21:46;:104::i;:::-;1907:31;1916:5;1923:7;1932:5;1907:8;:31::i;:::-;1437:508;;;;;;;;:::o;13386:2321:25:-;13674:16;13692;13657:6;13025:68;13056:10;:8;:10::i;13025:68::-;13103:55;13122:11;:9;:11::i;13103:55::-;13720:21:::1;:19;:21::i;:::-;13752:31;13786:17;:15;:17::i;:::-;13752:51;;13818:13;:11;:13::i;:::-;13814:1887;;13853:20;13875:26;13905:164;13940:6;13964;13988:9;14015:14;14047:8;13905:17;:164::i;:::-;13852:217;;;;14368:62;14393:16;:14;:16::i;:::-;14377:12;:32;;6140:3:7;14368:8:25;:62::i;:::-;14444:45;14468:1;14472:16;:14;:16::i;:::-;14444:15;:45::i;:::-;14503:59;14519:9;14545:16;:14;:16::i;:::-;14530:12;:31;14503:15;:59::i;:::-;14649:44;14667:9;14678:14;14649:17;:44::i;:::-;14716:9;14741:8;:15;14727:30;;;;;;;;::::0;::::1;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::0;-1:-1:-1;14727:30:25::1;;14708:50;;;;;;;;;13814:1887;14789:39;14803:8;14813:14;14789:13;:39::i;:::-;14843:20;14865:26;14895:336;14924:6;14948;14972:9;14999:8;15025:15;15058:16;:14;:16::i;:::-;:48;;15081:25;15058:48;;;15077:1;15058:48;15177:14;15209:8;14895:11;:336::i;:::-;14842:389;;;;15345:40;15361:9;15372:12;15345:15;:40::i;2178:254:23:-:0;2259:7;2301:10;:8;:10::i;:::-;-1:-1:-1;;;;;2282:30:23;;;;;;2278:148;;;-1:-1:-1;;;2328:18:23;;2278:148;2384:31;2400:5;2407:7;2384:15;:31::i;:::-;2377:38;;;;2858:80:27;-1:-1:-1;;2858:80:27;:::o;7319:259:55:-;2276:21:32;:19;:21::i;:::-;7396:20:55::1;7418:15:::0;7437:28:::1;:26;:28::i;:::-;7395:70;;;;7475:50;7484:10;7688:3:7;7475:8:55;:50::i;:::-;7536:35;7558:12;7536:21;:35::i;1184:113:35:-:0;1244:7;1270:20;:18;:20::i;6142:414:52:-;2276:21:32;:19;:21::i;:::-;6241:13:52::1;6257:21;6272:5;6257:14;:21::i;:::-;6241:37;;6288:22;6313:23;6330:5;6313:16;:23::i;:::-;6288:48:::0;-1:-1:-1;6346:83:52::1;-1:-1:-1::0;;;;;6355:31:52;::::1;::::0;::::1;9022:3:7;6346:8:52;:83::i;:::-;6439:48;6461:5;6468:8;6478;6439:21;:48::i;:::-;6502:47;::::0;-1:-1:-1;;;;;6502:47:52;::::1;::::0;6523:5;;6502:47:::1;::::0;::::1;::::0;6540:8;;6502:47:::1;:::i;:::-;;;;;;;;2307:1:32;;6142:414:52::0;;:::o;1245:274:37:-;1455:5;1479:33;1455:5;1479:19;:33::i;2038:180:43:-;2096:7;2127:5;;;2142:51;2151:6;;;:20;;;2170:1;2165;2161;:5;;;;;;:10;2151:20;5269:1:7;2142:8:43;:51::i;:::-;2210:1;2038:180;-1:-1:-1;;;2038:180:43:o;1057:182:37:-;1176:56;1190:1;1185;:6;:16;;;;;1200:1;1195;:6;1185:16;5804:3:7;1176:8:37;:56::i;:::-;1057:182;;;:::o;6759:280:40:-;6874:7;2246:10;6941:17;;6939:20;6923:36;;6952:6;7007:5;:13;;7019:1;7007:13;;;7015:1;7007:13;6999:22;;:32;;6977:55;;6759:280;-1:-1:-1;;;;6759:280:40:o;2512:395::-;2657:7;2676:49;2700:5;2707:6;2715:9;2676:23;:49::i;:::-;-1:-1:-1;2770:1:40;2752:14;;-1:-1:-1;;2751:20:40;2829:14;;2827:17;2811:33;;2884:15;;;2862:38;2512:395;;;;;;;:::o;1193:166:43:-;1251:7;1270:37;1284:1;1279;:6;;5172:1:7;1270:8:43;:37::i;:::-;-1:-1:-1;1329:5:43;;;1193:166::o;3420:590:31:-;3551:7;3570:67;1895:2;3579:24;;;:29;8253:3:7;3570:8:31;:67::i;:::-;3711:292;3920:15;:26;;1841:3;1951:2;3711:180;3938:8;1772:3;1951:2;3711:180;:5;3745:4;1646:1;1895:2;3711:33;:85::i;:::-;:113;:180;;:113;:180::i;2499:175::-;2560:7;2586:81;2603:21;2618:5;2603:14;:21::i;:::-;2586:5;;1703:2;;2586:16;:81::i;1410:186:47:-;1466:6;1484:75;1502:16;1493:25;;;12403:3:7;1484:8:47;:75::i;:::-;-1:-1:-1;1583:5:47;1410:186::o;3883:240:40:-;4006:7;4025:49;4049:5;4056:6;4064:9;4025:23;:49::i;:::-;-1:-1:-1;;4100:15:40;;3883:240::o;1928:104:43:-;1986:7;2016:1;2012;:5;:13;;2024:1;2012:13;;;-1:-1:-1;2020:1:43;;2005:20;-1:-1:-1;1928:104:43:o;4847:203:40:-;5041:1;5023:14;;-1:-1:-1;;5022:20:40;5003:14;;;4995:48;;4847:203::o;918:101:7:-;987:9;982:34;;998:18;1006:9;998:7;:18::i;6355:502:49:-;6414:27;:25;:27::i;:::-;6821:29;:27;:29::i;9890:112:53:-;9983:12;9890:112;:::o;4791:203:24:-;4920:67;4939:5;4929:7;:15;:35;;;;;4959:5;4948:8;:16;4929:35;5640:3:7;4920:8:24;:67::i;10780:483:52:-;10847:16;10972:19;10994:17;:15;:17::i;:::-;10972:39;;11021:31;11069:11;11055:26;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;11055:26:52;;11021:60;;11097:9;11092:133;11116:11;11112:1;:15;11092:133;;;11168:46;11197:16;11211:1;11197:13;:16::i;:::-;11168:20;11186:1;11168:17;:20::i;:::-;:28;;:46::i;:::-;11148:14;11163:1;11148:17;;;;;;;;;;;;;;;;;:66;11129:3;;11092:133;;9200:746:49;9500:19;;;;9461:7;;-1:-1:-1;;;;;9500:35:49;9530:4;9500:35;;:75;;-1:-1:-1;9539:20:49;;;;-1:-1:-1;;;;;9539:36:49;9570:4;9539:36;9500:75;9499:440;;9714:225;9755:11;9788:18;9828:17;9867:18;9907:14;9714:19;:225::i;:::-;9499:440;;;9595:100;9608:11;9621:18;9641:17;9660:18;9680:14;9595:12;:100::i;:::-;9480:459;;9200:746;;;;;;;;:::o;7662:744::-;7961:19;;;;7922:7;;-1:-1:-1;;;;;7961:35:49;7991:4;7961:35;;:75;;-1:-1:-1;8000:20:49;;;;-1:-1:-1;;;;;8000:36:49;8031:4;8000:36;7961:75;7960:439;;8175:224;8215:11;8248:18;8288:17;8327:18;8367:14;8175:18;:224::i;7562:110:25:-;3136:3;7562:110;:::o;10034:213:45:-;-1:-1:-1;;;;;10157:18:45;;;;;;;-1:-1:-1;10157:18:45;;;;;;;;:27;;;;;;;;;;;;;;:36;;;10208:32;;;;;10157:36;;10208:32;:::i;:::-;;;;;;;;10034:213;;;:::o;43820:2367:49:-;44591:18;:16;:18::i;:::-;44865:25;44918;44957:23;44994:43;45050:23;:21;:23::i;:::-;44851:222;;;;;;;;;45108:1;45088:17;:21;45084:87;;;45125:35;45142:17;45125:16;:35::i;:::-;45377:18;45401:28;:26;:28::i;:::-;45376:53;;;45945:24;45987:15;45973:10;:29;45972:148;;46068:52;46099:10;46111:8;46068:30;:52::i;:::-;45972:148;;;46018:35;45972:148;45945:175;;46131:49;46151:10;46163:16;46131:19;:49::i;:::-;43820:2367;;;;;;:::o;6843:665:27:-;6987:49;;;;;6964:20;;-1:-1:-1;;;;;6987:40:27;;;;;:49;;7028:7;;6987:49;;;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::i;:::-;6964:72;-1:-1:-1;7051:31:27;7047:383;;7115:23;:12;:21;:23::i;:::-;7098:6;:40;;;;;;;;;;;;;;;7047:383;;;4446:1:14;7159:7:27;:32;7155:275;;;7225:23;:12;:21;:23::i;:::-;7207:6;:41;;;;;;;;;;;;;;;;;;;7155:275;;;4485:1:14;7269:7:27;:30;7265:165;;;7331:23;:12;:21;:23::i;:::-;7315:6;:39;;;;;;;;;;;;;;;;;;;7265:165;;;7385:34;12459:3:7;7385:7:27;:34::i;:::-;7479:7;7445:56;7488:12;7445:56;;;;;;:::i;:::-;;;;;;;;6843:665;;;:::o;4837:237:39:-;4884:4;5030:25;:23;:25::i;:::-;5012:15;:43;:55;;;-1:-1:-1;;5060:7:39;;;;5059:8;;4837:237::o;5187:108::-;5269:19;5187:108;:::o;5301:110::-;5384:20;5301:110;:::o;15037:436:53:-;15101:13;15130:10;15126:37;;-1:-1:-1;15149:14:53;15142:21;;15126:37;15177:5;15186:1;15177:10;15173:37;;;-1:-1:-1;15196:14:53;15189:21;;15173:37;15224:5;15233:1;15224:10;15220:37;;;-1:-1:-1;15243:14:53;15236:21;;15220:37;15271:5;15280:1;15271:10;15267:37;;;-1:-1:-1;15290:14:53;15283:21;;15267:37;15318:5;15327:1;15318:10;15314:37;;;-1:-1:-1;15337:14:53;15330:21;;15314:37;15365:5;15374:1;15365:10;15361:106;;;-1:-1:-1;15384:14:53;15377:21;;15361:106;15427:29;7054:3:7;15427:7:53;:29::i;7753:559:45:-;7880:71;-1:-1:-1;;;;;7889:20:45;;;;10308:3:7;7880:8:45;:71::i;:::-;7961:72;-1:-1:-1;;;;;7970:23:45;;;;10376:3:7;7961:8:45;:72::i;:::-;8044:47;8065:6;8073:9;8084:6;8044:20;:47::i;:::-;-1:-1:-1;;;;;8122:17:45;;:9;:17;;;;;;;;;;;:68;;8144:6;10854:3:7;8122:21:45;:68::i;:::-;-1:-1:-1;;;;;8102:17:45;;;:9;:17;;;;;;;;;;;:88;;;;8223:20;;;;;;;:32;;8248:6;8223:24;:32::i;:::-;-1:-1:-1;;;;;8200:20:45;;;:9;:20;;;;;;;;;;;;:55;;;;8270:35;;;;;;;;;;8298:6;;8270:35;:::i;10330:357:53:-;10391:7;10423;-1:-1:-1;;;;;10414:16:53;;;;;;;10410:30;;;-1:-1:-1;10439:1:53;10432:8;;10410:30;10463:7;-1:-1:-1;;;;;10454:16:53;;;;;;;10450:30;;;-1:-1:-1;10479:1:53;10472:8;;10450:30;10503:7;-1:-1:-1;;;;;10494:16:53;;;;;;;10490:30;;;-1:-1:-1;10519:1:53;10512:8;;10490:30;10543:7;-1:-1:-1;;;;;10534:16:53;;;;;;;10530:30;;;-1:-1:-1;10559:1:53;10552:8;;10530:30;10583:7;-1:-1:-1;;;;;10574:16:53;;;;;;;10570:30;;;-1:-1:-1;10599:1:53;10592:8;;10570:30;10623:7;-1:-1:-1;;;;;10614:16:53;;;;;;;10610:30;;;-1:-1:-1;10639:1:53;10632:8;;2752:165:31;2811:7;2837:73;:5;1772:3;1951:2;2837:16;:73::i;7282:364:52:-;7427:12;7442:8;-1:-1:-1;;;;;7442:16:52;;:18;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::i;:::-;7470:13;7486:23;;;:16;:23;;;;;;7427:33;;-1:-1:-1;7546:43:52;7486:23;7427:33;7580:8;7546:27;:43::i;:::-;7520:23;;;;:16;:23;;;;;;;:69;;;;7605:34;7537:5;;7605:34;;;;7634:4;;7605:34;:::i;:::-;;;;;;;;7282:364;;;;;:::o;2420:181:32:-;2475:16;2494:20;2506:7;;;;2494:11;:20::i;:::-;2475:39;;2524:70;2533:33;2545:8;2555:10;2533:11;:33::i;:::-;9891:3:7;2524:8:32;:70::i;3515:1248:55:-;3576:13;3591:15;3619:18;3639:16;3657:17;3676:15;3695:23;:21;:23::i;:::-;3618:100;;;;;;;;3868:7;3850:15;:25;3846:911;;;3904:4;3891:17;;4380:10;4369:8;:21;4365:303;;;4502:9;4492:7;:19;4477:9;4459:15;:27;4444:10;4433:8;:21;4432:55;4431:81;;;;;;4418:10;:94;4410:102;;4365:303;;;4643:9;4633:7;:19;4618:9;4600:15;:27;4587:8;4574:10;:21;4573:55;4572:81;;;;;;4559:10;:94;4551:102;;4365:303;3846:911;;;4711:5;4698:18;;4738:8;4730:16;;3846:911;3515:1248;;;;;;:::o;2556:232:43:-;2616:7;2635:38;2644:6;;;5318:1:7;2635:8:43;:38::i;:::-;2688:6;2684:98;;-1:-1:-1;2717:1:43;2710:8;;2684:98;2770:1;2765;2761;:5;2760:11;;;;;;2756:1;:15;2749:22;;;;7770:306:55;7931:65;7955:10;7967:8;7977:9;7988:7;7931:23;:65::i;:::-;8011:58;8028:10;8040:8;8050:9;8061:7;8011:58;;;;;;;;;:::i;:::-;;;;;;;;7770:306;;;;:::o;4340:98:39:-;4392:39;4401:14;:12;:14::i;:::-;9935:3:7;4392:8:39;:39::i;8764:509:25:-;8849:89;8879:26;:24;:26::i;:::-;8858:17;:47;;6091:3:7;8849:8:25;:89::i;:::-;8948;8978:26;:24;:26::i;:::-;8957:17;:47;;6030:3:7;8948:8:25;:89::i;:::-;9060:9;;:147;;9094:17;4205:3;4440:2;9060:20;:147::i;:::-;9048:9;:159;9223:43;;;;;;9248:17;;9223:43;:::i;:::-;;;;;;;;8764:509;:::o;966:167:48:-;1024:7;1055:5;;;1070:37;1079:6;;;;1024:7;1070:8;:37::i;3913:358:39:-;3969:6;3965:232;;;3991:81;4018:24;:22;:24::i;:::-;4000:15;:42;9993:3:7;3991:8:39;:81::i;:::-;3965:232;;;4103:83;4130:25;:23;:25::i;:::-;4112:15;:43;11423:3:7;4103:8:39;:83::i;:::-;4207:7;:16;;;;;;;;;;4238:26;;;;;;4207:16;;4238:26;:::i;11124:279:25:-;11217:14;11234:11;:9;:11::i;:::-;11217:28;;11262:20;11286:10;:8;:10::i;:::-;:42;;;;;-1:-1:-1;;;;;11286:27:25;;;;;;;:42;;11314:6;;11322:5;;11286:42;;;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::i;:::-;11339:57;;;;;11255:73;;-1:-1:-1;;;;;;11339:37:25;;;-1:-1:-1;11339:37:25;;-1:-1:-1;11339:57:25;;-1:-1:-1;11377:6:25;;11385:10;;11339:57;;;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;9847:488;9935:9;;:56;;9956:7;4267:3;9935:20;:56::i;:::-;9923:9;:68;10007:33;;;;;;10032:7;;10007:33;:::i;:::-;;;;;;;;10295:7;10290:38;;10304:24;:22;:24::i;4380:719:52:-;4449:7;4877:13;:11;:13::i;:::-;4868:5;:22;4864:74;;;-1:-1:-1;945:4:41;4906:21:52;;4864:74;4948:22;4973:23;;;:16;:23;;;;;;5013:28;;:79;;5061:31;:14;:29;:31::i;:::-;5013:79;;;945:4:41;5006:86:52;4380:719;-1:-1:-1;;;4380:719:52:o;920:131:37:-;998:46;1012:1;1007;:6;5804:3:7;998:8:37;:46::i;25048:375:49:-;25304:7;25313:16;25348:68;25364:5;25371:18;25391:14;25407:8;25348:15;:68::i;:::-;25341:75;;;;25048:375;;;;;;;;;;;:::o;30857:360:25:-;30986:14;;31054:21;;31010:66;;30986:14;;31010:35;:66::i;:::-;31092:9;31087:124;31111:6;31107:1;:10;31087:124;;;31151:49;31170:7;31178:1;31170:10;;;;;;;;;;;;;;31182:14;31197:1;31182:17;;;;;;;;;;;;;;31151:18;:49::i;:::-;31138:7;31146:1;31138:10;;;;;;;;;;;;;;;;;:62;31119:3;;31087:124;;32604:7126;33285:10;33307:4;33285:27;33281:6443;;33599:28;;33581:12;;33607:4;;33599:28;;33581:12;;33618:8;;33599:28;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;33580:47;;;33845:7;33878:1;33873:3336;;;;37369:9;33873:3336;34349:4;34346:1;34343;34328:26;34402:1;34396:8;34406:66;34392:81;34634:66;34624:77;;34618:2;;34757:16;34754:1;34751;34736:38;34813:16;34810:1;34803:27;34618:2;;36224;36218:4;36215:1;36200:27;36421:2;36415:4;36408:16;36845:2;36827:16;36823:25;36817:4;36811;36796:53;37183:2;37165:16;37161:25;37158:1;37151:36;33711:3703;37669:21;:19;:21::i;:::-;37705:31;37739:17;:15;:17::i;:::-;37705:51;;37770:39;37784:8;37794:14;37770:13;:39::i;:::-;37825:17;37844:29;37877:256;37902:6;37926;37950:9;37977:8;38003:15;38036:25;38079:14;38111:8;37877:7;:256;;:::i;:::-;37824:309;;;;38148:45;38164:12;38178:14;38148:15;:45;;:::i;:::-;38674:19;;-1:-1:-1;39061:23:25;;39101:24;;;39347:66;39329:16;;;39322:92;-1:-1:-1;38670:28:25;39440:16;;;39696:2;39686:13;;39440:16;39672:28;38055:1725:49;38147:25;38186:21;38221:25;38260:23;38297:43;38545:35;38586:10;:8;:10::i;:::-;-1:-1:-1;;;;;38586:24:49;;38611:11;:9;:11::i;:::-;38586:37;;;;;;;;;;;;;;;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;;38586:37:49;;;;;;;;;;;;:::i;:::-;38542:81;;;;38633:52;38647:18;38667:17;:15;:17::i;:::-;38633:13;:52::i;:::-;38723:44;38748:18;38723:24;:44::i;:::-;38695:72;-1:-1:-1;38695:72:49;-1:-1:-1;39088:33:49;39178:21;:19;:21::i;:::-;39131:68;;-1:-1:-1;39131:68:49;-1:-1:-1;39402:43:49;39566:89;39602:8;39131:68;;39566:35;:89::i;:::-;39455:200;-1:-1:-1;39455:200:49;-1:-1:-1;39686:87:49;39722:13;39455:200;39686:35;:87::i;:::-;39666:107;;38055:1725;;;;;;;;:::o;3181:2872:54:-;4328:15;;3316:7;;;;;4353:91;4377:9;4373:1;:13;4353:91;;;4413:20;4421:8;4430:1;4421:11;;;;;;;;;;;;;;4413:3;:7;;:20;;;;:::i;:::-;4407:26;-1:-1:-1;4388:3:54;;4353:91;;;-1:-1:-1;4457:8:54;4453:47;;4488:1;4481:8;;;;;;4453:47;4510:21;4591:3;4654:34;;;4510:21;4727:1262;4751:3;4747:1;:7;4727:1262;;;4789:9;4775:11;4813:216;4837:9;4833:1;:13;4813:216;;;4942:72;4955:24;4964:3;4969:9;4955:8;:24::i;:::-;4981:32;4990:8;4999:1;4990:11;;;;;;;;;;;;;;5003:9;4981:8;:32::i;:::-;4942:12;:72::i;:::-;4936:78;-1:-1:-1;4848:3:54;;4813:216;;;;5059:9;5043:25;;5095:622;5125:248;5235:88;5298:24;5307:3;5312:9;5298:8;:24::i;:::-;5235:58;5248:28;5257:13;5272:3;5248:8;:28::i;:::-;1372:3;5235:12;:58::i;:::-;:62;;:88::i;:::-;5346:9;5125:8;:248::i;:::-;5520:165;5633:30;5643:9;5655:1;5643:13;5659:3;5633:8;:30::i;:::-;5520:83;5533:53;1372:3;5543:13;:30;5576:9;5533:8;:53::i;5095:622::-;5083:634;;5748:13;5736:9;:25;5732:247;;;5814:1;5797:13;5785:9;:25;:30;5781:93;;5846:9;5839:16;;;;;;;;;;;5781:93;5732:247;;;5927:1;5914:9;5898:13;:25;:30;5894:85;;5955:9;5948:16;;;;;;;;;;;5894:85;-1:-1:-1;4756:3:54;;4727:1262;;;;5999:47;7757:3:7;5999:7:54;:47::i;:::-;3181:2872;;;;;;;;;:::o;2628:355:41:-;2690:7;2709:38;2718:6;;;5318:1:7;2709:8:41;:38::i;:::-;2762:6;2758:219;;-1:-1:-1;2791:1:41;2784:8;;2758:219;945:4;2843:7;;;;2864:51;;2843:1;:7;:1;2873:13;;;;;:20;5366:1:7;2864:8:41;:51::i;:::-;2965:1;2953:9;:13;;;;;;2946:20;;;;;1437:126:7;1484:28;1492:9;1484:28;:7;:28::i;1066:243:2:-;1140:4;1245:1;1231:4;:11;:15;:71;;;;;1003:3;1250:52;;1261:4;1250:25;;;;;;;;;;;;:::i;:::-;:52;;;;1066:243;-1:-1:-1;;1066:243:2:o;4531:119:28:-;4588:55;4597:16;:14;:16::i;:::-;12169:3:7;4588:8:28;:55::i;35965:1128:49:-;36128:7;36137:16;36683:21;36706:25;36735:44;36760:18;36735:24;:44::i;:::-;36682:97;;;;36791:19;36812:27;36843:106;36882:8;36904:13;36931:8;36843:25;:106::i;:::-;36790:159;;;;37046:11;37059:26;37071:10;37083:1;37059:11;:26::i;:::-;37038:48;;;;;;;;35965:1128;;;;;;:::o;29964:354:25:-;30087:14;;30155:21;;30111:66;;30087:14;;30111:35;:66::i;:::-;30193:9;30188:124;30212:6;30208:1;:10;30188:124;;;30252:49;30271:7;30279:1;30271:10;;;;;;;;;;;;;;30283:14;30298:1;30283:17;;;;;;;;;;;;;;30252:18;:49::i;:::-;30239:7;30247:1;30239:10;;;;;;;;;;;;;;;;;:62;30220:3;;30188:124;;3934:104:23;4010:21;4016:6;4024;4010:5;:21::i;2038:157:31:-;2100:7;2126:62;:5;2100:7;1895:2;2126:16;:62::i;2275:149::-;2333:7;2359:58;:5;1703:2;;2359:16;:58::i;3015:234::-;3076:16;3094:15;3132:18;3144:5;3132:11;:18::i;:::-;3121:29;-1:-1:-1;3170:72:31;:5;1841:3;1951:2;3170:16;:72::i;:::-;3160:82;;3015:234;;;:::o;24479:374:49:-;24735:7;24744:16;24779:67;24795:4;24801:18;24821:14;24837:8;24779:15;:67::i;31748:356:25:-;31875:14;;31943:21;;31899:66;;31875:14;;31899:35;:66::i;:::-;31981:9;31976:122;32000:6;31996:1;:10;31976:122;;;32040:47;32057:7;32065:1;32057:10;;;;;;;;;;;;;;32069:14;32084:1;32069:17;;;;;;;;;;;;;;32040:16;:47::i;:::-;32027:7;32035:1;32027:10;;;;;;;;;;;;;;;;;:60;32008:3;;31976:122;;32110:488;32168:11;32565:10;:8;:10::i;:::-;-1:-1:-1;;;;;32565:24:25;;:26;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::i;16672:183:53:-;16769:4;16792:56;:23;16827:20;5949:143:40;6054:14;2246:10;6046:33;;;6045:40;;5949:143::o;3803:419:35:-;3963:13;;;3973:2;3963:13;;;;;;;;;3914:12;;;;3963:13;;;;;;;;;;;-1:-1:-1;3963:13:35;3938:38;;4092:1;4087:2;4076:9;4072:18;4065:29;4134:1;4129:2;4118:9;4114:18;4107:29;4177:1;4172:2;4161:9;4157:18;4149:30;4206:9;3803:419;-1:-1:-1;;;;3803:419:35:o;1701:1214::-;1895:14;1912:28;1929:10;1912:16;:28::i;:::-;1895:45;;1950:66;1959:45;1977:7;1986:6;1994:9;1959:17;:45::i;:::-;2006:9;1950:8;:66::i;:::-;2487:63;2508:15;2496:8;:27;;12277:3:7;2487:8:35;:63::i;:::-;-1:-1:-1;;;;;;;;;2884:19:35;;;;;;;;:10;:19;;;;;:24;;-1:-1:-1;2884:24:35;;;-1:-1:-1;1701:1214:35:o;22361:1988:49:-;22551:7;22560:16;22588:32;22623:19;:8;:17;:19::i;:::-;22588:54;-1:-1:-1;22652:72:49;22669:32;22661:4;:40;;;;;;;;;6245:3:7;22652:8:49;:72::i;:::-;22838:38;22879:27;:8;:25;:27::i;:::-;22838:68;;22916:88;22952:21;:28;22982:14;:21;22916:35;:88::i;:::-;23014:52;23028:21;23051:14;23014:13;:52::i;:::-;23078:11;23095:28;:26;:28::i;:::-;23077:46;;;23133:26;23162:35;23175:21;23162:12;:35::i;:::-;23133:64;;23207:26;23236:46;23267:3;23272:9;23236:30;:46::i;:::-;23207:75;-1:-1:-1;23207:75:49;23354:20;24009:42;3147:8;23207:75;24009:28;:42::i;:::-;23988:63;;24062:35;24078:6;24086:10;24062:15;:35::i;:::-;24146:10;24107:21;24129:13;:11;:13::i;:::-;24107:36;;;;;;;;;;;;;:49;;;;;24243:44;24263:3;24268:18;24243:19;:44::i;:::-;-1:-1:-1;24306:12:49;24320:21;;-1:-1:-1;22361:1988:49;;-1:-1:-1;;;;;;;;;;22361:1988:49:o;3818:110:23:-;3897:24;3903:9;3914:6;3897:5;:24::i;4570:149:45:-;-1:-1:-1;;;;;4685:18:45;;;4659:7;4685:18;;;-1:-1:-1;4685:18:45;;;;;;;;:27;;;;;;;;;;;;;4570:149::o;7584:180:55:-;7648:71;7672:5;7679;7686:15;7703;7648:23;:71::i;:::-;7734:23;7751:5;7734:23;;;;;;:::i;2386:188:44:-;2447:7;2494:10;2506:12;2520:15;2537:13;:11;:13::i;:::-;2560:4;2483:83;;;;;;;;;;;;:::i;:::-;;;;;;;;;;;;;2473:94;;;;;;2466:101;;2386:188;:::o;1525:374:37:-;1621:1;1606:5;:12;:16;1602:53;;;1638:7;;1602:53;1665:16;1684:5;1690:1;1684:8;;;;;;;;;;;;;;1665:27;;1707:9;1719:1;1707:13;;1702:191;1726:5;:12;1722:1;:16;1702:191;;;1759:15;1777:5;1783:1;1777:8;;;;;;;;;;;;;;;;;;;-1:-1:-1;1799:51:37;-1:-1:-1;;;;;1808:18:37;;;;;;;5692:3:7;1799:8:37;:51::i;:::-;1875:7;-1:-1:-1;1740:3:37;;1702:191;;7061:607:40;7197:44;7215:3;7206:6;:12;5640:3:7;7197:8:40;:44::i;:::-;7406:90;7428:1;7415:9;:14;;:58;;;;;7446:27;7455:3;7466:6;7460:3;:12;7446:8;:27::i;:::-;7433:9;:40;;5640:3:7;7406:8:40;:90::i;:::-;7605:56;7614:18;;;:23;12057:3:7;7605:8:40;:56::i;25947:164:25:-;26086:18;:16;:18::i;7724:209:52:-;7782:19;7804:17;:15;:17::i;:::-;7782:39;;7836:9;7831:96;7855:11;7851:1;:15;7831:96;;;7887:29;7914:1;7887:26;:29::i;:::-;7868:3;;7831:96;;14126:437:53;14191:7;14214:10;14210:38;;-1:-1:-1;14233:15:53;14226:22;;14210:38;14262:5;14271:1;14262:10;14258:38;;;-1:-1:-1;14281:15:53;14274:22;;14258:38;14310:5;14319:1;14310:10;14306:38;;;-1:-1:-1;14329:15:53;14322:22;;14306:38;14358:5;14367:1;14358:10;14354:38;;;-1:-1:-1;14377:15:53;14370:22;;14354:38;14406:5;14415:1;14406:10;14402:38;;;-1:-1:-1;14425:15:53;14418:22;;14402:38;14454:5;14463:1;14454:10;14450:107;;;-1:-1:-1;14473:15:53;14466:22;;1790:209:41;1852:7;1889:5;;;1904:57;1913:6;;;:26;;;1938:1;1933;1923:7;:11;;;;1904:57;945:4;1979:13;;;;-1:-1:-1;;;1790:209:41:o;2693:749:24:-;2915:7;2934:39;2948:8;2958:14;2934:13;:39::i;:::-;3004:54;3013:11;:18;;;3033:14;3048:8;3033:24;;;;;;;;;;;;;;3004:8;:54::i;:::-;2983:18;;;:75;3069:16;3088:57;2983:11;3117:8;3127:7;3136:8;3088:15;:57::i;:::-;3069:76;;3233:47;3246:8;3256:14;3271:7;3256:23;;;;;;;;;;;;;;3233:12;:47::i;:::-;3222:58;;3408:27;3426:8;3408:17;:27::i;13165:1964:49:-;13407:7;;;13443:16;;:44;;;;;;;;;13426:61;;13498:49;13512:18;13532:14;13498:13;:49::i;:::-;13578:130;13600:11;:18;;;13632:14;13647:9;:50;;13679:18;13647:50;;;13659:17;13647:50;13632:66;;;;;;;13578:130;13557:11;:18;;:151;;;;;13733:25;13772;13811:18;13843:28;13884:35;13900:18;13884:15;:35::i;:::-;13719:200;;;;;;;;14018:24;14044:26;14096:13;:11;:13::i;:::-;14074:18;:35;:596;;14404:266;14433:9;14460:11;:18;;;14496:8;14522:33;14536:18;14522:13;:33::i;:::-;14573:10;14601:17;14636:20;14404:11;:266::i;:::-;14074:596;;;14124:265;14153:9;14180:11;:18;;;14216:8;14242:32;14256:17;14242:13;:32::i;:::-;14292:10;14320:17;14355:20;14124:11;:265::i;:::-;14017:653;;;;14681:182;14724:10;14748:8;14770:20;14804:17;14835:18;14681:29;:182::i;:::-;14893:9;:206;;15034:65;15047:16;15065:14;15080:17;15065:33;;;;;;;15034:65;14893:206;;;14921:68;14936:16;14954:14;14969:18;14954:34;;;;;;;;;;;;;;14921:14;:68::i;:::-;14874:225;13165:1964;-1:-1:-1;;;;;;;;;;;;;13165:1964:49:o;1911:776:24:-;2132:7;2280:42;2303:11;:18;;;2280:22;:42::i;:::-;2259:18;;;:63;2333:39;2347:8;2357:14;2333:13;:39::i;:::-;2403:53;2412:11;:18;;;2432:14;2447:7;2432:23;;;;;;;2403:53;2382:18;;;:74;2467:17;2487:56;2382:11;2515:8;2525:7;2534:8;2487:14;:56::i;:::-;2467:76;;2629:51;2644:9;2655:14;2670:8;2655:24;;;;;;;26245:134:25;26309:63;26333:26;:24;:26::i;:::-;26362:9;26309:15;:63::i;18122:468:51:-;18374:181;18412:21;2430:1;2500:3;18374:20;:181::i;:::-;18253:106;18274:10;2500:3;2725:2;18253:20;:106::i;:::-;:302;18221:17;:334;18566:17;:15;:17::i;1816:206:48:-;1923:7;1942:27;1956:1;1951;:6;;1959:9;1942:8;:27::i;:::-;-1:-1:-1;;1991:5:48;;;1816:206::o;1944:544:26:-;2032:4;1638:42;2053:10;:8;:10::i;:::-;-1:-1:-1;;;;;2053:29:26;;;;;2052:63;;;2087:28;2106:8;2087:18;:28::i;:::-;2048:434;;;2247:10;:8;:10::i;:::-;-1:-1:-1;;;;;2233:24:26;:10;:24;;-1:-1:-1;2226:31:26;;2048:434;2410:16;:14;:16::i;:::-;:61;;;;;-1:-1:-1;;;;;2410:27:26;;;;;;;:61;;2438:8;;2448:7;;2465:4;;2410:61;;;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::i;4832:642:55:-;4924:18;4956:16;4986:17;5017:15;5070:83;2181:1;2411:2;5070:24;;:35;;:83;;;;;:::i;:::-;5174:24;;5057:96;;-1:-1:-1;5174:81:55;;2237:2;;5174:35;:81::i;:::-;5277:24;;5163:92;;-1:-1:-1;5277:86:55;;2295:3;2472:2;5277:35;:86::i;:::-;5383:24;;5265:98;;-1:-1:-1;5383:84:55;;2352:3;2472:2;5383:35;:84::i;:::-;5373:94;;4832:642;;;;:::o;8082:570::-;8567:78;8588:7;2352:3;2472:2;8567:20;:78::i;:::-;8470:82;8491:9;2295:3;2472:2;8470:20;:82::i;:::-;8379:76;8400:8;2237:2;2411;8379:20;:76::i;:::-;8284:80;8305:10;2181:1;2411:2;8284:20;:80::i;:::-;:171;:268;:361;8245:24;:400;-1:-1:-1;;;;8082:570:55:o;9279:124:25:-;3244:4;9279:124;:::o;9409:::-;3317:4;9409:124;:::o;46193:1050:49:-;46813:35;46854:10;:8;:10::i;:::-;-1:-1:-1;;;;;46854:24:49;;46879:11;:9;:11::i;:::-;46854:37;;;;;;;;;;;;;;;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;;46854:37:49;;;;;;;;;;;;:::i;:::-;46810:81;;;;46901:52;46915:18;46935:17;:15;:17::i;46901:52::-;46963:25;46991:32;47004:18;46991:12;:32::i;:::-;46963:60;;47035:18;47059:28;:26;:28::i;:::-;47034:53;;;47097:24;47124:52;47155:10;47167:8;47124:30;:52::i;:::-;47097:79;;47187:49;47207:10;47219:16;47187:19;:49::i;25602:1971::-;25789:7;25798:16;25840:25;25879;25918:18;25950:28;25991:35;26007:18;25991:15;:35::i;:::-;25826:200;;;;;;;;26042:197;26252:6;:26;;26271:7;26252:26;;;26261:7;26252:26;26042:237;;26291:17;26310:29;26343:184;26370:8;26392:10;26416:17;26447:20;26481:14;26509:8;26343:13;:184;;:::i;:::-;26290:237;;;;26688:68;26759:6;:40;;26785:14;26759:40;;;26768:14;26759:40;26688:111;;26809:49;26824:8;26834:12;26848:9;26809:14;:49::i;:::-;26868:26;26897:39;26907:17;26926:9;26897;:39;;:::i;:::-;26868:68;;27111:182;27154:10;27178:8;27200:20;27234:17;27265:18;27111:29;:182::i;:::-;27526:9;27537:28;27549:12;27563:1;27537:11;:28::i;:::-;27518:48;;;;;;;;;;;;;25602:1971;;;;;;;:::o;12316:261:53:-;12434:7;12443:16;12483:52;12501:18;12520:13;:11;:13::i;:::-;12501:33;;;;;;;;;;;;;;12483:17;:52::i;:::-;12537:32;12550:18;12537:12;:32::i;:::-;12475:95;;;;12316:261;;;:::o;4878:6138:51:-;5063:7;5072;6508:30;6552:37;6603:28;6644:47;6665:8;6675:15;6644:20;:47::i;:::-;6494:197;;;;;;9628:35;9692:25;9667:22;:50;9666:133;;9798:1;9666:133;;;9758:25;9733:22;:50;9666:133;9628:171;;9809:42;9887:22;9855:29;:54;9854:141;;9994:1;9854:141;;;9957:22;9925:29;:54;9854:141;9809:186;;10341:33;10377:140;10456:51;4359:1:14;10456:29:51;:51::i;:::-;10377:57;:27;10413:20;10377:35;:57::i;:140::-;10341:176;;10528:31;10562:148;10648:52;4446:1:14;10648:29:51;:52::i;:::-;10562:64;:34;10605:20;10562:42;:64::i;:148::-;10935:51;;;;;10988:20;;-1:-1:-1;4878:6138:51;;-1:-1:-1;;;;;;;;;4878:6138:51:o;18723:757::-;18855:7;19406:67;19445:27;:14;:25;:27::i;:::-;19406:30;:6;19421:14;19406;:30::i;:::-;:38;;:67::i;2402:148:43:-;2464:7;2483:38;2492:6;;;5318:1:7;2483:8:43;:38::i;:::-;2542:1;2538;:5;;;;;;;2402:148;-1:-1:-1;;;2402:148:43:o;1670:3378:7:-;4395:66;1732:18;4383:79;;;4601:66;4595:4;4588:80;4743:1;4737:4;4730:15;2871:2;2904:18;;;2949;;;2876:4;2945:29;;;3747:1;3838:14;2856:18;;;;3827:26;;;;2997:18;;;;3044;;;3040:29;;3859:2;3855:17;3823:50;3737:4;3743:18;;;;;;3733:29;3729:2;3725:38;3802:72;;;;3797:3;3793:82;4810:4;4803:26;1761:14;;;;;5036:3;;5026:14;5268:399:28;5424:7;5433:16;5461:19;5483:27;:8;:25;:27::i;:::-;5461:49;;5521:27;5551:66;5582:8;5592:11;5605;5551:30;:66::i;:::-;5636:11;;;;-1:-1:-1;5268:399:28;;-1:-1:-1;;;;;5268:399:28:o;13671:426:53:-;13784:39;13878:7;:14;13895:1;13878:18;13864:33;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;13864:33:53;;13839:58;;13912:9;13907:184;13931:22;:29;13927:1;:33;13907:184;;;14014:13;:11;:13::i;:::-;14009:1;:18;:71;;14042:7;14054:13;:11;:13::i;:::-;14050:1;:17;:29;;14078:1;14074;:5;14050:29;;;14070:1;14050:29;14042:38;;;;;;;;;;;;;;14009:71;;;14030:9;14009:71;13981:22;14004:1;13981:25;;;;;;;;;;;;;;;;;:99;13962:3;;13907:184;;;;13671:426;;;;:::o;9200:411:45:-;9275:68;-1:-1:-1;;;;;9284:21:45;;;;10506:3:7;9275:8:45;:68::i;:::-;9354:49;9375:7;9392:1;9396:6;9354:20;:49::i;:::-;-1:-1:-1;;;;;9435:18:45;;:9;:18;;;;;;;;;;;:65;;9458:6;11950:3:7;9435:22:45;:65::i;:::-;-1:-1:-1;;;;;9414:18:45;;:9;:18;;;;;;;;;;:86;9510:42;9526:25;9544:6;9526:13;:11;:13::i;:::-;:17;;:25::i;:::-;9510:15;:42::i;:::-;9567:37;;9593:1;;-1:-1:-1;;;;;9567:37:45;;;;;;;9597:6;;9567:37;:::i;:::-;;;;;;;;9200:411;;:::o;2989:682:41:-;3049:7;3068:38;3077:6;;;5318:1:7;3068:8:41;:38::i;:::-;3121:6;3117:548;;-1:-1:-1;3150:1:41;3143:8;;3117:548;945:4;3202:7;;;;3223:51;;3202:1;:7;:1;3232:13;;;3223:51;3648:1;3643;3631:9;:13;3630:19;;;;;;3653:1;3629:25;3622:32;;;;;3199:183:44;3276:7;3341:20;:18;:20::i;:::-;3363:10;3312:62;;;;;;;;;:::i;2921:876:35:-;3066:4;3082:60;3091:9;:16;3111:2;3091:22;12334:3:7;3082:8:35;:60::i;:::-;3427:4;3412:20;;;3406:27;3472:4;3457:20;;;3451:27;3525:4;3510:20;;3504:27;3579:26;;3153:9;3579:26;;;;;;;;;3406:27;;3451;;3496:36;;;3579:26;;;;3589:6;;3496:36;;3406:27;;3451;;3579:26;:::i;:::-;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;;3579:26:35;;-1:-1:-1;3579:26:35;;;-1:-1:-1;;;;;;;3728:30:35;;;;;;:61;;-1:-1:-1;;;;;;3762:27:35;;;;;;;3728:61;3720:70;2921:876;-1:-1:-1;;;;;;;;2921:876:35:o;913:122:1:-;973:8;1011:4;1000:28;;;;;;;;;;;;:::i;1183:168::-;1251:26;1316:4;1305:39;;;;;;;;;;;;:::i;11771:361:53:-;11842:16;11870:34;11938:1;11921:7;:14;:18;11907:33;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;11907:33:53;;11870:70;;11955:9;11950:141;11974:17;:24;11970:1;:28;11950:141;;;12042:7;12054:13;:11;:13::i;:::-;12050:1;:17;:29;;12074:1;12078;12074:5;12050:29;;;12070:1;12050:29;12042:38;;;;;;;;;;;;;;12019:17;12037:1;12019:20;;;;;;;;;;;;;;;;;:61;12000:3;;11950:141;;8583:297:45;8658:49;8687:1;8691:7;8700:6;8658:20;:49::i;:::-;8718:42;8734:25;8752:6;8734:13;:11;:13::i;8718:42::-;-1:-1:-1;;;;;8791:18:45;;:9;:18;;;;;;;;;;;:30;;8814:6;8791:22;:30::i;:::-;-1:-1:-1;;;;;8770:18:45;;:9;:18;;;;;;;;;;;:51;;;;8836:37;;8770:18;;:9;8836:37;;;;8866:6;;8836:37;:::i;3388:427:44:-;3790:9;;3765:44::o;8058:913:52:-;8569:13;:11;:13::i;:::-;8560:5;:22;8556:35;;;8584:7;;8556:35;8601:13;8617:23;;;:16;:23;;;;;;8654:19;;8650:315;;8690:16;8708:15;8727:21;:5;:19;:21::i;:::-;8689:59;;;;8784:7;8766:15;:25;8762:193;;;8877:63;8899:5;8906:23;8923:5;8906:16;:23::i;:::-;8931:8;8877:21;:63::i;29216:579:25:-;29296:7;29747:41;29766:6;29774:13;29747:18;:41::i;10978:466:49:-;11196:7;11234:203;11266:5;11302:7;:14;;;11334:18;11370:17;11405:18;11234:14;:203::i;31419:156:25:-;31503:7;31529:39;31546:6;31554:13;31529:16;:39::i;26473:240::-;26539:7;26657:49;26670:35;:22;:20;:22::i;:::-;:33;:35::i;:::-;26657:6;;:12;:49::i;27694:1089:49:-;27803:7;27824:16;27854:7;27875;27908:23;27933:33;27970:21;:19;:21::i;:::-;27907:84;;;;28015:25;28054;28093:34;28140:94;28171:18;28191:15;28208:25;28140:30;:94::i;:::-;28001:233;;;;;;28465:18;28489:28;:26;:28::i;:::-;28464:53;;;28527:28;28572:15;28558:10;:29;:137;;28643:52;28674:10;28686:8;28643:30;:52::i;:::-;28558:137;;;28602:26;28558:137;28714:17;;28733:8;;-1:-1:-1;28743:10:49;;-1:-1:-1;28714:17:49;;-1:-1:-1;27694:1089:49;;-1:-1:-1;;;;;;27694:1089:49:o;11280:383:53:-;11341:7;11540:54;11558:13;:11;:13::i;:::-;11549:5;:22;;5640:3:7;11540:8:53;:54::i;:::-;11620:13;:11;:13::i;:::-;11612:5;:21;:44;;11644:12;:5;11654:1;11644:9;:12::i;:::-;11612:44;;18683:844:49;18938:7;18947;18985:9;:535;;19276:244;19328:6;19356:8;19386;19416:10;19448:12;19482:20;19276:30;:244::i;:::-;18985:535;;;19013:244;19065:6;19093:8;19123;19153:10;19185:12;19219:20;19013:30;:244::i;:::-;18966:554;;;;18683:844;;;;;;;;;;:::o;15373:841::-;15627:7;15636;15674:9;:533;;15964:243;16016:6;16044:8;16074:7;16103:10;16135:12;16169:20;15964:30;:243::i;15674:533::-;15702:243;15754:6;15782:8;15812:7;15841:10;15873:12;15907:20;15702:30;:243::i;13486:4360:51:-;13722:29;13754:52;13785:10;13797:8;13754:30;:52::i;:::-;13722:84;-1:-1:-1;16389:25:51;16417:45;:18;16444:17;16417:26;:45::i;:::-;16389:73;-1:-1:-1;16472:24:51;16499:47;:20;16389:73;16499:28;:47::i;:::-;16472:74;;16989:16;16965:21;:40;16961:814;;;17054:40;;;17021:30;17288:168;17318:85;17054:40;17351:51;17021:30;17351:29;:51::i;:::-;17318:8;:85::i;:::-;17421:21;17288:12;:168::i;:::-;17250:206;-1:-1:-1;17475:31:51;;17471:294;;17526:25;17554:142;17611:18;17651:27;17554:35;:142::i;:::-;17526:170;;17715:35;17732:17;17715:16;:35::i;:::-;17471:294;;16961:814;;;17785:54;17805:10;17817:21;17785:19;:54::i;30522:160:25:-;30608:7;30634:41;30653:6;30661:13;30634:18;:41::i;26813:283::-;26884:7;26995:17;27015:36;27028:22;:20;:22::i;:::-;27015:6;;:12;:36::i;:::-;26995:56;-1:-1:-1;27068:21:25;:6;26995:56;27068:10;:21::i;10230:463:49:-;10447:7;10485:201;10517:4;10551:7;:14;;;10583:18;10619:17;10654:18;10485:14;:201::i;9206:210:52:-;9252:19;9274:17;:15;:17::i;:::-;9252:39;;9306:9;9301:109;9325:11;9321:1;:15;9301:109;;;9361:19;9378:1;9361:16;:19::i;:::-;9357:42;;;9382:17;9397:1;9382:14;:17::i;:::-;9338:3;;9301:109;;48039:573:49;48544:4;48571:34;48596:8;48571:24;:34::i;32494:1007::-;32748:7;32757:16;32785:32;32820:19;:8;:17;:19::i;:::-;32785:54;-1:-1:-1;32861:55:49;32853:4;:63;;;;;;;;;32849:646;;;32955:254;33004:17;33043:20;33085:10;33117:8;33147:14;33183:8;32955:27;:254::i;:::-;32932:277;;;;;;;32849:646;33238:58;33230:4;:66;;;;;;;;;33226:269;;;33319:99;33346:17;33365:20;33387:10;33399:8;33409;33319:26;:99::i;33226:269::-;33449:35;8698:3:7;33449:7:49;:35::i;:::-;32494:1007;;;;;;;;;;;:::o;28893:1003::-;29147:7;29156:16;29184:32;29219:19;:8;:17;:19::i;:::-;29184:54;-1:-1:-1;29260:55:49;29252:4;:63;;;;;;;;;29248:642;;;29354:254;29403:17;29442:20;29484:10;29516:8;29546:14;29582:8;29354:27;:254::i;29248:642::-;29637:54;29629:4;:62;;;;;;;;;29625:265;;;29714:99;29741:17;29760:20;29782:10;29794:8;29804;29714:26;:99::i;29625:265::-;29844:35;7111:3:7;29844:7:49;:35::i;47429:423::-;47638:15;;47707:16;;47663:61;;47638:15;;47663:35;:61::i;:::-;47740:9;47735:111;47759:6;47755:1;:10;47735:111;;;47800:35;47809:8;47818:1;47809:11;;;;;;;;;;;;;;47822:9;47832:1;47822:12;;;;;;;;;;;;;;47800:8;:35;;:::i;:::-;47786:8;47795:1;47786:11;;;;;;;;;;;;;;;;;:49;47767:3;;47735:111;;;;47429:423;;;;:::o;17792:417:53:-;17862:7;18173:29;18191:10;18173:13;:11;:13::i;:::-;:17;;:29::i;11022:2145:51:-;11164:30;11208:37;11259:28;11482:142;11526:15;11555:36;11576:8;11586:4;11555:20;:36::i;:::-;11482:30;:142::i;:::-;11457:167;;11836:20;:18;:20::i;:::-;11832:1329;;;12174:57;12205:15;12222:8;12174:30;:57::i;:::-;12142:89;;12268:29;12245:52;;11832:1329;;;12318:21;:19;:21::i;:::-;12314:847;;;12552:22;12520:54;;12611:57;12642:15;12659:8;12611:30;:57::i;:::-;12588:80;;12314:847;;;12888:167;12936:15;12969:37;12990:8;13000:5;12969:20;:37::i;12888:167::-;12856:199;;13093:57;13124:15;13141:8;13093:30;:57::i;:::-;13070:80;;12314:847;11022:2145;;;;;:::o;5813:112:41:-;5867:7;945:4;5894:1;:7;5893:25;;5917:1;5893:25;;;-1:-1:-1;945:4:41;5906:7;;5813:112::o;1364:158:2:-;1432:19;1492:4;1481:34;;;;;;;;;;;;:::i;5673:1420:28:-;5835:27;6856:16;6875:32;:11;6895;6875:19;:32::i;:::-;6856:51;;6945:8;:15;6931:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;6931:30:28;;6918:43;;6976:9;6971:116;6995:8;:15;6991:1;:19;6971:116;;;7047:29;7067:8;7047;7056:1;7047:11;;;;;;;;;;;;;;:19;;:29;;;;:::i;:::-;7031:10;7042:1;7031:13;;;;;;;;;;;;;;;;;:45;7012:3;;6971:116;;;;5673:1420;;;;;;:::o;1404:121:48:-;1462:7;1488:30;1492:1;1495;5172::7;1488:3:48;:30::i;3870:94:45:-;3937:12;:20;3870:94::o;11678:905:49:-;11899:7;11971:25;11999:32;12012:18;11999:12;:32::i;:::-;11971:60;;12041:15;12059:32;12073:17;12059:13;:32::i;:::-;12041:50;;12101:16;12120:33;12134:18;12120:13;:33::i;:::-;12101:52;;12165:18;12189:28;:26;:28::i;:::-;12164:53;;;12227:17;12247:52;12278:10;12290:8;12247:30;:52::i;:::-;12227:72;;12314:9;12310:267;;;12346:91;12373:10;12385:8;12395:7;12404:8;12414:11;12427:9;12346:26;:91::i;:::-;12339:98;;;;;;;;;12310:267;12475:91;12502:10;12514:8;12524:7;12533:8;12543:11;12556:9;12475:26;:91::i;3173:1699:51:-;3387:7;3408:16;3438:7;3471:21;3494:25;3523:44;3548:18;3523:24;:44::i;:::-;3470:97;;;;3741:43;3798;3854:89;3890:8;3900:15;3917:25;3854:35;:89::i;:::-;3727:216;;;;4256:25;4284:121;4333:13;4360:35;4284;:121::i;:::-;4256:149;-1:-1:-1;4420:21:51;;4416:87;;4457:35;4474:17;4457:16;:35::i;:::-;4784:33;;;;;4819:8;;-1:-1:-1;4784:33:51;;-1:-1:-1;3173:1699:51;-1:-1:-1;;;;;3173:1699:51:o;20811:1002:49:-;21064:7;21073;21277:27;21321:8;:15;21307:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;21307:30:49;;21277:60;;21370:9;21347:10;21358:8;21347:20;;;;;;;;;;;;;:32;;;;;21390:17;21410:216;21464:10;21488:8;21510:10;21534:12;21560:20;21594:22;:20;:22::i;:::-;21410:40;:216::i;:::-;21390:236;;21658:33;21681:9;21658:8;21667;21658:18;;;;;;;;;;;;;;:22;;:33;;;;:::i;:::-;21637:8;21646;21637:18;;;;;;;;;;;;;;;;;:54;21701:26;21730:27;:12;21747:9;21730:16;:27::i;:::-;21776:9;;;;-1:-1:-1;20811:1002:49;;-1:-1:-1;;;;;;;;;20811:1002:49:o;19805:724::-;20058:7;20067;20086:17;20106:236;20159:10;20183:8;20205;20227:9;20250:12;20276:20;20310:22;:20;:22::i;:::-;20106:39;:236::i;:::-;20086:256;;20374:33;20397:9;20374:8;20383;20374:18;;;;;;;:33;20353:8;20362;20353:18;;;;;;;;;;;;;;;;;:54;20417:26;20446:27;:12;20463:9;20446:16;:27::i;:::-;20492:9;;;;-1:-1:-1;19805:724:49;;-1:-1:-1;;;;;;;;19805:724:49:o;17733:708::-;17982:7;17991;18010:16;18029:232;18082:10;18106:8;18128:7;18149:6;18169:12;18195:20;18229:22;:20;:22::i;:::-;18029:39;:232::i;:::-;18010:251;;18292:31;18314:8;18292;18301:7;18292:17;;;;;;;;;;;;;;:21;;:31;;;;:::i;:::-;18272:8;18281:7;18272:17;;;;;;;;;;;;;;;;;:51;18333:26;18362:24;:12;18379:6;18362:16;:24::i;16483:983::-;16734:7;16743;16947:26;16990:8;:15;16976:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;16976:30:49;;16947:59;;17037:8;17016:9;17026:7;17016:18;;;;;;;;;;;;;:29;;;;;17056:14;17073:215;17127:10;17151:8;17173:9;17196:12;17222:20;17256:22;:20;:22::i;:::-;17073:40;:215::i;:::-;17056:232;;17319:31;17341:8;17319;17328:7;17319:17;;;;;;;:31;17299:8;17308:7;17299:17;;;;;;;;;;;;;;;;;:51;17360:26;17389:24;:12;17406:6;17389:16;:24::i;2005:617:41:-;2065:7;2102:5;;;2117:57;2126:6;;;:26;;;2151:1;2146;2136:7;:11;;;;2117:57;2189:12;2185:431;;2224:1;2217:8;;;;;2185:431;945:4;-1:-1:-1;;2582:11:41;;2581:19;;15569:175:53;15638:4;15661:76;:23;4182:1;15696:40;;15661:34;:76::i;3871:161:52:-;3929:13;3945:23;;;:16;:23;;;;;;4004:21;3945:23;4004:19;:21::i;:::-;3978:23;;;;:16;:23;;;;;;:47;;;;-1:-1:-1;3871:161:52:o;20310:525:51:-;20767:4;20794:34;20819:8;20794:24;:34::i;1041:122:1:-;1101:8;1139:4;1128:28;;;;;;;;;;;;:::i;33599:987:49:-;33867:7;33876:16;33905:27;33934:22;33960:33;:8;:31;:33::i;:::-;33904:89;;;;34003:71;34039:10;:17;34058:8;:15;34003:35;:71::i;:::-;34157:55;34171:10;34183:28;34196:14;34183:12;:28::i;34157:55::-;34223:19;34245:216;34299:10;34323:8;34345:10;34369:12;34395:20;34429:22;:20;:22::i;34245:216::-;34223:238;;34471:65;34495:14;34480:11;:29;;6300:3:7;34471:8:49;:65::i;:::-;34555:11;34568:10;;-1:-1:-1;33599:987:49;;-1:-1:-1;;;;;;;;33599:987:49:o;34684:1143::-;34910:7;34919:16;35049:19;35070:18;35092:32;:8;:30;:32::i;:::-;35048:76;;;;35235:60;35257:8;:15;35244:10;:28;5640:3:7;35235:8:49;:60::i;:::-;35380:27;35424:8;:15;35410:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;35410:30:49;;35380:60;;35537:240;35590:10;35614:8;35636:10;35660:11;35685:12;35711:20;35745:22;:20;:22::i;35537:240::-;35512:10;35523;35512:22;;;;;;;;;;;;;;;;;:265;35796:11;;;;-1:-1:-1;34684:1143:49;;-1:-1:-1;;;;;;;34684:1143:49:o;30007:989::-;30275:7;30284:16;30313:26;30341:23;30368:33;:8;:31;:33::i;:::-;30312:89;;;;30411:70;30447:8;:15;30464:9;:16;30411:35;:70::i;:::-;30564:54;30578:9;30589:28;30602:14;30589:12;:28::i;30564:54::-;30629:20;30652:215;30706:10;30730:8;30752:9;30775:12;30801:20;30835:22;:20;:22::i;30652:215::-;30629:238;;30878:68;30903:15;30887:12;:31;;6356:3:7;30878:8:49;:68::i;31094:1221::-;31320:7;31329:16;31460:20;31482:18;31504:32;:8;:30;:32::i;:::-;31459:77;;;;31722:60;31744:8;:15;31731:10;:28;5640:3:7;31722:8:49;:60::i;:::-;31869:26;31912:8;:15;31898:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;31898:30:49;;31869:59;;32024:241;32077:10;32101:8;32123:10;32147:12;32173;32199:20;32233:22;:20;:22::i;9635:737:52:-;9827:15;;9763:16;;;9827:15;9888:36;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;9888:36:52;;9852:72;;9940:9;9935:397;9959:21;9955:1;:25;9935:397;;;10001:20;10029:13;:11;:13::i;:::-;10024:1;:18;;:30;;10053:1;10024:30;;;10045:1;10049;10045:5;10024:30;10001:53;;10090:48;10125:12;10090:34;:48::i;:::-;:121;;;;10159:17;:51;;;;;10180:30;10197:12;10180:16;:30::i;:::-;10090:231;;10310:8;10319:1;10310:11;;;;;;;;;;;;;;10090:231;;;10230:61;10247:8;10256:1;10247:11;;;;;;;;;;;;;;10260:16;:30;10277:12;10260:30;;;;;;;;;;;;10230:16;:61::i;:::-;10068:16;10085:1;10068:19;;;;;;;;;;;;;;;;;:253;-1:-1:-1;9982:3:52;;9935:397;;;-1:-1:-1;10349:16:52;9635:737;-1:-1:-1;;;;9635:737:52:o;16025:98:53:-;16101:15;16025:98;:::o;15835:100::-;15912:16;15835:100;:::o;6228:2287:54:-;6476:7;7890:41;7917:13;7890:8;7899:12;7890:22;;;;;;;:41;7865:8;7874:12;7865:22;;;;;;;;;;;;;:66;;;;;7942:23;7968:167;8031:22;8067:8;8089:9;8112:13;7968:49;:167::i;:::-;7942:193;;8426:13;8401:8;8410:12;8401:22;;;;;;;;;;;;;;:38;8376:8;8385:12;8376:22;;;;;;;;;;;;;:63;;;;;8457:51;8506:1;8457:44;8485:15;8457:8;8466:13;8457:23;;;;;;;:51;8450:58;;;6228:2287;;;;;;;;;:::o;8733:2295::-;8982:7;10394:43;10422:14;10394:8;10403:13;10394:23;;;;;;;:43;10368:8;10377:13;10368:23;;;;;;;;;;;;;:69;;;;;10448:22;10473:166;10536:22;10572:8;10594:9;10617:12;10473:49;:166::i;:::-;10448:191;;10940:14;10914:8;10923:13;10914:23;;;;;;;;;;;;;;:40;10888:8;10897:13;10888:23;;;;;;;;;;;;;:66;;;;;10972:49;11019:1;10972:42;10991:8;11000:12;10991:22;;;;;;;;;;;;;;10972:14;:18;;:42;;;;:::i;15566:2527::-;15828:7;;;16086:113;16110:8;:15;16106:1;:19;16086:113;;;16160:28;16176:8;16185:1;16176:11;;;;;;;;;;;;;;16160;:15;;:28;;;;:::i;:::-;16146:42;-1:-1:-1;16127:3:54;;16086:113;;;;16282:40;16339:10;:17;16325:32;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;16325:32:54;;16282:75;;16367:33;16419:9;16414:337;16438:8;:15;16434:1;:19;16414:337;;;16474:21;16498:30;16516:11;16498:8;16507:1;16498:11;;;;;;;;;;;;;;:17;;:30;;;;:::i;:::-;16474:54;;16571:49;16608:8;16617:1;16608:11;;;;;;;;;;;;;;16571:30;16587:10;16598:1;16587:13;;;;;;;;;;;;;;16571:8;16580:1;16571:11;;;;;;;:30;:36;;:49::i;:::-;16542:23;16566:1;16542:26;;;;;;;;;;;;;:78;;;;;16662;16692:47;16725:13;16692:23;16716:1;16692:26;;;;;;;;;;;;;;:32;;:47;;;;:::i;:::-;16662:25;;:29;:78::i;:::-;16634:106;-1:-1:-1;;16455:3:54;;16414:337;;;;16864:28;16909:8;:15;16895:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;16895:30:54;;16864:61;;16940:9;16935:911;16959:8;:15;16955:1;:19;16935:911;;;17183:24;17253:23;17277:1;17253:26;;;;;;;;;;;;;;17225:25;:54;17221:550;;;17299:24;17326:59;17346:38;:25;:36;:38::i;:::-;17326:8;17335:1;17326:11;;;;;;;:59;17299:86;;17403:21;17427:35;17445:16;17427:10;17438:1;17427:13;;;;;;;:35;17403:59;-1:-1:-1;17608:77:54;17629:55;17403:59;945:4:41;17649:34:54;;;17629:19;:55::i;:::-;17608:16;;:20;:77::i;:::-;17589:96;;17221:550;;;;;17743:10;17754:1;17743:13;;;;;;;;;;;;;;17724:32;;17221:550;17802:33;17818:16;17802:8;17811:1;17802:11;;;;;;;:33;17785:11;17797:1;17785:14;;;;;;;;;;;;;;;;;:50;-1:-1:-1;16976:3:54;;16935:911;;;;17856:20;17879:37;17899:3;17904:11;17879:19;:37::i;:::-;17856:60;-1:-1:-1;17926:22:54;17951:38;17856:60;17972:16;17951:20;:38::i;:::-;17926:63;;18037:49;18058:27;:14;:25;:27::i;:::-;18037:14;;:20;:49::i;18099:1903::-;18380:7;;18471:77;18531:16;18471:53;18509:14;18471:31;18509:14;18490:11;18471:18;:31::i;:53::-;:59;;:77::i;:::-;18448:100;;18603:28;18634:148;18697:3;18714:8;18736:12;18762:10;18634:49;:148::i;:::-;18603:179;;18792:27;18822:46;18847:20;18822:8;18831:10;18822:20;;;;;;;:46;18792:76;;19013:19;19051:9;19046:113;19070:8;:15;19066:1;:19;19046:113;;;19120:28;19136:8;19145:1;19136:11;;;;;;;19120:28;19106:42;-1:-1:-1;19087:3:54;;19046:113;;;;19314:21;19338:41;19367:11;19338:8;19347:10;19338:20;;;;;;;;;;;;;;:28;;:41;;;;:::i;:::-;19314:65;;19389:25;19417:26;:13;:24;:26::i;:::-;19389:54;-1:-1:-1;19654:21:54;19678:44;:19;19389:54;19678:25;:44::i;:::-;19654:68;-1:-1:-1;19732:24:54;19759:38;:19;19654:68;19759:23;:38::i;:::-;19732:65;-1:-1:-1;19916:79:54;19937:57;:13;945:4:41;19959:34:54;;;19937:21;:57::i;:::-;19916:16;;:20;:79::i;:::-;19909:86;;;;;;;;;;18099:1903;;;;;;;;;:::o;13693:1695::-;13975:7;;14063:78;14124:16;14063:54;14102:14;14063:32;14102:14;14082:12;14063:18;:32::i;:78::-;14040:101;;14196:28;14227:148;14290:3;14307:8;14329:12;14355:10;14227:49;:148::i;:::-;14196:179;;14385:26;14414:46;14439:8;14448:10;14439:20;;;;;;;;;;;;;;14414;:24;;:46;;;;:::i;:::-;14385:75;;14605:19;14643:9;14638:113;14662:8;:15;14658:1;:19;14638:113;;;14712:28;14728:8;14737:1;14728:11;;;;;;;14712:28;14698:42;-1:-1:-1;14679:3:54;;14638:113;;;;14905:21;14929:41;14958:11;14929:8;14938:10;14929:20;;;;;;;:41;14905:65;;14980:25;15008:26;:13;:24;:26::i;:::-;14980:54;-1:-1:-1;15044:21:54;15068:43;:18;14980:54;15068:24;:43::i;:::-;15044:67;-1:-1:-1;15121:24:54;15148:37;:18;15044:67;15148:22;:37::i;:::-;15121:64;-1:-1:-1;15304:77:54;15325:55;:13;945:4:41;15345:34:54;;;15325:19;:55::i;11034:2653::-;11295:7;;;11557:113;11581:8;:15;11577:1;:19;11557:113;;;11631:28;11647:8;11656:1;11647:11;;;;;;;11631:28;11617:42;-1:-1:-1;11598:3:54;;11557:113;;;;11753:37;11807:9;:16;11793:31;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;11793:31:54;;11753:71;;11895:30;11944:9;11939:330;11963:8;:15;11959:1;:19;11939:330;;;11999:21;12023:32;12043:11;12023:8;12032:1;12023:11;;;;;;;:32;11999:56;;12095:50;12133:8;12142:1;12133:11;;;;;;;;;;;;;;12095:29;12111:9;12121:1;12111:12;;;;;;;;;;;;;;12095:8;12104:1;12095:11;;;;;;;:50;12069:20;12090:1;12069:23;;;;;;;;;;;;;:76;;;;;12184:74;12211:46;12243:13;12211:20;12232:1;12211:23;;;;;;;12184:74;12159:99;-1:-1:-1;;11980:3:54;;11939:330;;;;12382:28;12427:8;:15;12413:30;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;-1:-1:-1;12413:30:54;;12382:61;;12458:9;12453:826;12477:8;:15;12473:1;:19;12453:826;;;12513:26;12680:22;12654:20;12675:1;12654:23;;;;;;;;;;;;;;:48;12650:552;;;12722:24;12749:63;12769:42;:22;945:4:41;12769:26:54;:42::i;12749:63::-;12722:90;;12830:21;12854:34;12871:16;12854:9;12864:1;12854:12;;;;;;;:34;12830:58;-1:-1:-1;13036:79:54;13057:57;12830:58;945:4:41;13079:34:54;;;13057:21;:57::i;13036:79::-;13015:100;;12650:552;;;;;13175:9;13185:1;13175:12;;;;;;;;;;;;;;13154:33;;12650:552;13233:35;13249:18;13233:8;13242:1;13233:11;;;;;;;:35;13216:11;13228:1;13216:14;;;;;;;;;;;;;;;;;:52;-1:-1:-1;12494:3:54;;12453:826;;;;13289:20;13312:37;13332:3;13337:11;13312:19;:37::i;:::-;13289:60;-1:-1:-1;13359:22:54;13384:38;13289:60;13405:16;13384:20;:38::i;:::-;13359:63;;945:4:41;13522:14:54;:31;13518:163;;;13576:55;:14;13599:31;;;13576:22;:55::i;:::-;13569:62;;;;;;;;;;13518:163;13669:1;13662:8;;;;;;;;;;11381:220:52;11467:4;11503:52;11515:39;11503:11;:52::i;:::-;11491:8;:64;11490:104;;;;11560:34;11585:8;11560:24;:34::i;2058:253:1:-;2156:27;2185:22;2267:4;2256:48;;;;;;;;;;;;:::i;:::-;2223:81;;;;-1:-1:-1;2058:253:1;-1:-1:-1;;;2058:253:1:o;1845:207::-;1918:19;1939:18;2010:4;1999:46;;;;;;;;;;;;:::i;1357:253::-;1455:26;1483:23;1566:4;1555:48;;;;;;;;;;;;:::i;1616:209::-;1689:20;1711:18;1783:4;1772:46;;;;;;;;;;;;:::i;10472:188:52:-;10552:7;10578:75;10591:37;10600:7;10609:18;:5;:16;:18::i;10591:37::-;10630:22;:5;:20;:22::i;20136:2083:54:-;20354:7;20410:21;20459:8;:15;20434:22;:40;20410:64;;20484:11;20498:8;20507:1;20498:11;;;;;;;;;;;;;;20484:25;;20519:11;20547:8;:15;20533:8;20542:1;20533:11;;;;;;;;;;;;;;:29;20519:43;;20577:9;20589:1;20577:13;;20572:195;20596:8;:15;20592:1;:19;20572:195;;;20638:78;20651:53;20660:26;20669:3;20674:8;20683:1;20674:11;;;;;;;;;;;;;;20660:8;:26::i;:::-;20688:8;:15;20651:8;:53::i;:::-;20706:9;20638:12;:78::i;:::-;20632:84;;20736:20;20744:8;20753:1;20744:11;;;;;;;20736:20;20730:26;-1:-1:-1;20613:3:54;;20572:195;;;;20906:8;20915:10;20906:20;;;;;;;;;;;;;;20900:3;:26;20894:32;;20937:12;20952:30;20961:9;20972;20952:8;:30::i;:::-;20937:45;;21050:9;21062:138;21084:72;21093:46;21104:4;21110:28;21119:13;21134:3;21110:8;:28::i;21093:46::-;1372:3;21084:8;:72::i;:::-;21170:8;21179:10;21170:20;;;;;;;21062:138;21050:150;;21210:9;21222:73;21230:64;21239:38;21252:9;21263:13;21239:12;:38::i;21230:64::-;21222:3;;:7;:73::i;:::-;21210:85;-1:-1:-1;21348:24:54;;21546:41;21557:11;:4;21566:1;21557:8;:11::i;:::-;21570:16;:9;21584:1;21570:13;:16::i;21546:41::-;21523:64;;21603:9;21598:555;21622:3;21618:1;:7;21598:555;;;21665:12;21646:31;;21707:150;21735:43;21776:1;21735:36;21744:12;21758;21735:8;:36::i;:43::-;21796:47;21833:9;21796:32;21826:1;21796:25;21805:12;21819:1;21796:8;:25::i;21707:150::-;21692:165;;21891:16;21876:12;:31;21872:271;;;21966:1;21946:16;21931:12;:31;:36;21927:102;;-1:-1:-1;21998:12:54;-1:-1:-1;21991:19:54;;-1:-1:-1;;;;;;;21991:19:54;21927:102;21872:271;;;22088:1;22072:12;22053:16;:31;:36;22049:94;;-1:-1:-1;22116:12:54;-1:-1:-1;22109:19:54;;-1:-1:-1;;;;;;;22109:19:54;22049:94;21627:3;;21598:555;;;;22163:49;7828:3:7;22163:7:54;:49::i;:::-;20136:2083;;;;;;;;;;;;;;:::o;8801:341:55:-;8887:4;8935:60;8947:47;8935:11;:60::i;:::-;8923:8;:72;8922:163;;;-1:-1:-1;9025:59:55;9037:46;9025:11;:59::i;:::-;9013:8;:71;8922:163;:213;;;;9101:34;9126:8;12290:4:25;12338:47;12350:34;12338:11;:47::i;:::-;12326:8;:59;12325:143;;;-1:-1:-1;12415:52:25;12427:39;12415:11;:52::i;:::-;12403:8;:64;12325:143;:193;;;-1:-1:-1;2562:4:26;12484:34:25;2494:103:26:o;-1:-1:-1:-;;5:130;72:20;;97:33;72:20;97:33;:::i;1102:707::-;;1219:3;1212:4;1204:6;1200:17;1196:27;1186:2;;-1:-1;;1227:12;1186:2;1274:6;1261:20;1296:80;1311:64;1368:6;1311:64;:::i;:::-;1296:80;:::i;:::-;1404:21;;;1287:89;-1:-1;1448:4;1461:14;;;;1436:17;;;1550;;;1541:27;;;;1538:36;-1:-1;1535:2;;;1587:1;;1577:12;1535:2;1612:1;1597:206;1622:6;1619:1;1616:13;1597:206;;;6197:20;;1690:50;;1754:14;;;;1782;;;;1644:1;1637:9;1597:206;;1835:722;;1963:3;1956:4;1948:6;1944:17;1940:27;1930:2;;-1:-1;;1971:12;1930:2;2011:6;2005:13;2033:80;2048:64;2105:6;2048:64;:::i;2033:80::-;2141:21;;;2024:89;-1:-1;2185:4;2198:14;;;;2173:17;;;2287;;;2278:27;;;;2275:36;-1:-1;2272:2;;;2324:1;;2314:12;2272:2;2349:1;2334:217;2359:6;2356:1;2353:13;2334:217;;;6345:13;;2427:61;;2502:14;;;;2530;;;;2381:1;2374:9;2334:217;;2973:440;;3074:3;3067:4;3059:6;3055:17;3051:27;3041:2;;-1:-1;;3082:12;3041:2;3129:6;3116:20;36974:18;36966:6;36963:30;36960:2;;;-1:-1;;36996:12;36960:2;3151:64;-1:-1;37050:17;;-1:-1;37046:33;37137:4;37127:15;3151:64;:::i;:::-;3142:73;;3235:6;3228:5;3221:21;3339:3;37137:4;3330:6;3263;3321:16;;3318:25;3315:2;;;3356:1;;3346:12;3315:2;41886:6;37137:4;3263:6;3259:17;37137:4;3297:5;3293:16;41863:30;41942:1;41924:16;;;37137:4;41924:16;41917:27;3297:5;3034:379;-1:-1;;3034:379::o;4103:156::-;4192:13;;43499:1;43489:12;;43479:2;;43515:1;;43505:12;4266:156;4346:20;;4371:46;4346:20;4371:46;:::i;6678:241::-;;6782:2;6770:9;6761:7;6757:23;6753:32;6750:2;;;-1:-1;;6788:12;6750:2;85:6;72:20;97:33;124:5;97:33;:::i;6926:366::-;;;7047:2;7035:9;7026:7;7022:23;7018:32;7015:2;;;-1:-1;;7053:12;7015:2;85:6;72:20;97:33;124:5;97:33;:::i;:::-;7105:63;-1:-1;7205:2;7244:22;;72:20;97:33;72:20;97:33;:::i;:::-;7213:63;;;;7009:283;;;;;:::o;7299:491::-;;;;7437:2;7425:9;7416:7;7412:23;7408:32;7405:2;;;-1:-1;;7443:12;7405:2;85:6;72:20;97:33;124:5;97:33;:::i;:::-;7495:63;-1:-1;7595:2;7634:22;;72:20;97:33;72:20;97:33;:::i;:::-;7399:391;;7603:63;;-1:-1;;;7703:2;7742:22;;;;6197:20;;7399:391::o;7797:991::-;;;;;;;;8001:3;7989:9;7980:7;7976:23;7972:33;7969:2;;;-1:-1;;8008:12;7969:2;85:6;72:20;97:33;124:5;97:33;:::i;:::-;8060:63;-1:-1;8160:2;8199:22;;72:20;97:33;72:20;97:33;:::i;:::-;8168:63;-1:-1;8268:2;8307:22;;6197:20;;-1:-1;8376:2;8415:22;;6197:20;;-1:-1;8484:3;8522:22;;6473:20;6498:31;6473:20;6498:31;:::i;:::-;7963:825;;;;-1:-1;7963:825;;;;8493:61;8591:3;8631:22;;2767:20;;-1:-1;8700:3;8740:22;;;2767:20;;7963:825;-1:-1;;7963:825::o;8795:366::-;;;8916:2;8904:9;8895:7;8891:23;8887:32;8884:2;;;-1:-1;;8922:12;8884:2;85:6;72:20;97:33;124:5;97:33;:::i;:::-;8974:63;9074:2;9113:22;;;;6197:20;;-1:-1;;;8878:283::o;9168:823::-;;;;9382:2;9370:9;9361:7;9357:23;9353:32;9350:2;;;-1:-1;;9388:12;9350:2;9439:17;9433:24;9477:18;;9469:6;9466:30;9463:2;;;-1:-1;;9499:12;9463:2;9616:6;9605:9;9601:22;;;452:3;445:4;437:6;433:17;429:27;419:2;;-1:-1;;460:12;419:2;500:6;494:13;522:95;537:79;609:6;537:79;:::i;522:95::-;623:16;659:6;652:5;645:21;689:4;;706:3;702:14;695:21;;689:4;681:6;677:17;811:3;689:4;;795:6;791:17;681:6;782:27;;779:36;776:2;;;-1:-1;;818:12;776:2;-1:-1;844:10;;838:232;863:6;860:1;857:13;838:232;;;3868:6;3862:13;3880:48;3922:5;3880:48;:::i;:::-;931:76;;885:1;878:9;;;;;1021:14;;;;1049;;838:232;;;-1:-1;9676:18;;9670:25;9519:114;;-1:-1;9670:25;-1:-1;;;9704:30;;;9701:2;;;-1:-1;;9737:12;9701:2;;9767:89;9848:7;9839:6;9828:9;9824:22;9767:89;:::i;:::-;9757:99;;;9893:2;9947:9;9943:22;6345:13;9901:74;;9344:647;;;;;:::o;9998:257::-;;10110:2;10098:9;10089:7;10085:23;10081:32;10078:2;;;-1:-1;;10116:12;10078:2;2646:6;2640:13;42706:5;39501:13;39494:21;42684:5;42681:32;42671:2;;-1:-1;;42717:12;10262:1235;;;;;;;;10502:3;10490:9;10481:7;10477:23;10473:33;10470:2;;;-1:-1;;10509:12;10470:2;2780:6;2767:20;10561:63;;10661:2;10704:9;10700:22;72:20;97:33;124:5;97:33;:::i;:::-;10669:63;-1:-1;10769:2;10808:22;;72:20;97:33;72:20;97:33;:::i;:::-;10777:63;-1:-1;10905:2;10890:18;;10877:32;10929:18;10918:30;;;10915:2;;;-1:-1;;10951:12;10915:2;10981:78;11051:7;11042:6;11031:9;11027:22;10981:78;:::i;:::-;10971:88;;11096:3;11140:9;11136:22;6197:20;11105:63;;11205:3;11249:9;11245:22;6197:20;11214:63;;11342:3;11331:9;11327:19;11314:33;11300:47;;10929:18;11359:6;11356:30;11353:2;;;-1:-1;;11389:12;11353:2;;11419:62;11473:7;11464:6;11453:9;11449:22;11419:62;:::i;:::-;11409:72;;;10464:1033;;;;;;;;;;:::o;11504:239::-;;11607:2;11595:9;11586:7;11582:23;11578:32;11575:2;;;-1:-1;;11613:12;11575:2;2916:6;2903:20;39678:66;42952:5;39667:78;42928:5;42925:34;42915:2;;-1:-1;;42963:12;11750:303;;11885:2;11873:9;11864:7;11860:23;11856:32;11853:2;;;-1:-1;;11891:12;11853:2;3525:6;3519:13;3537:53;3584:5;3537:53;:::i;12338:500::-;;;12483:2;12471:9;12462:7;12458:23;12454:32;12451:2;;;-1:-1;;12489:12;12451:2;3697:6;3684:20;3709:48;3751:5;3709:48;:::i;:::-;12541:78;-1:-1;12684:2;12669:18;;12656:32;12708:18;12697:30;;12694:2;;;-1:-1;;12730:12;12694:2;12760:62;12814:7;12805:6;12794:9;12790:22;12760:62;:::i;:::-;12750:72;;;12445:393;;;;;:::o;13248:285::-;;13374:2;13362:9;13353:7;13349:23;13345:32;13342:2;;;-1:-1;;13380:12;13342:2;4035:6;4029:13;4047:44;4085:5;4047:44;:::i;13540:686::-;;;;13725:2;13713:9;13704:7;13700:23;13696:32;13693:2;;;-1:-1;;13731:12;13693:2;4035:6;4029:13;4047:44;4085:5;4047:44;:::i;:::-;13926:2;13911:18;;13905:25;13783:85;;-1:-1;13950:18;13939:30;;13936:2;;;-1:-1;;13972:12;13936:2;14002:89;14083:7;14074:6;14063:9;14059:22;14002:89;:::i;14233:557::-;;;;14393:2;14381:9;14372:7;14368:23;14364:32;14361:2;;;-1:-1;;14399:12;14361:2;4035:6;4029:13;4047:44;4085:5;4047:44;:::i;:::-;14573:2;14623:22;;6345:13;14692:2;14742:22;;;6345:13;14451:85;;6345:13;;-1:-1;6345:13;14355:435;-1:-1;;;14355:435::o;14797:285::-;;14923:2;14911:9;14902:7;14898:23;14894:32;14891:2;;;-1:-1;;14929:12;14891:2;14991:75;15058:7;15034:22;14991:75;:::i;15089:550::-;;;15257:2;15245:9;15236:7;15232:23;15228:32;15225:2;;;-1:-1;;15263:12;15225:2;15325:75;15392:7;15368:22;15325:75;:::i;:::-;15315:85;;15458:2;15447:9;15443:18;15437:25;15482:18;15474:6;15471:30;15468:2;;;-1:-1;;15504:12;15468:2;15534:89;15615:7;15606:6;15595:9;15591:22;15534:89;:::i;15646:686::-;;;;15831:2;15819:9;15810:7;15806:23;15802:32;15799:2;;;-1:-1;;15837:12;15799:2;15899:75;15966:7;15942:22;15899:75;:::i;:::-;15889:85;;16032:2;16021:9;16017:18;16011:25;16056:18;16048:6;16045:30;16042:2;;;-1:-1;;16078:12;16339:557;;;;16499:2;16487:9;16478:7;16474:23;16470:32;16467:2;;;-1:-1;;16505:12;16467:2;16567:75;16634:7;16610:22;16567:75;:::i;:::-;16557:85;;16679:2;16733:9;16729:22;6345:13;16687:74;;16798:2;16852:9;16848:22;6345:13;16806:74;;16461:435;;;;;:::o;16903:897::-;;;;;17112:3;17100:9;17091:7;17087:23;17083:33;17080:2;;;-1:-1;;17119:12;17080:2;17177:17;17164:31;17215:18;;17207:6;17204:30;17201:2;;;-1:-1;;17237:12;17201:2;17332:6;17321:9;17317:22;;;4589:6;;4577:9;4572:3;4568:19;4564:32;4561:2;;;-1:-1;;4599:12;4561:2;4627:22;4589:6;4627:22;:::i;:::-;4618:31;;4731:62;4789:3;4765:22;4731:62;:::i;:::-;4713:16;4706:88;4891:64;4951:3;4858:2;4931:9;4927:22;4891:64;:::i;:::-;4858:2;4877:5;4873:16;4866:90;5054:64;5114:3;5021:2;5094:9;5090:22;5054:64;:::i;:::-;5021:2;5040:5;5036:16;5029:90;5182:2;5240:9;5236:22;6197:20;5182:2;5201:5;5197:16;5190:75;17112:3;5387:9;5383:22;2767:20;17112:3;5348:5;5344:16;5337:75;5484:3;5543:9;5539:22;6197:20;5484:3;5504:5;5500:16;5493:75;5663:49;5708:3;5629;5688:9;5684:22;5663:49;:::i;:::-;5629:3;5649:5;5645:16;5638:75;5806:49;5851:3;5772;5831:9;5827:22;5806:49;:::i;:::-;5772:3;5792:5;5788:16;5781:75;5949:3;;5938:9;5934:19;5921:33;17215:18;5966:6;5963:30;5960:2;;;-1:-1;;5996:12;5960:2;6043:58;6097:3;6088:6;6077:9;6073:22;6043:58;:::i;:::-;5949:3;6027:5;6023:18;6016:86;;;17257:92;;;;4858:2;17403:9;17399:18;17386:32;17372:46;;17215:18;17430:6;17427:30;17424:2;;;-1:-1;;17460:12;17424:2;;17490:78;17560:7;17551:6;17540:9;17536:22;17490:78;:::i;:::-;17074:726;;17480:88;;-1:-1;;;;5021:2;17644:22;;6197:20;;5182:2;17752:22;6197:20;;17074:726;-1:-1;17074:726::o;17807:241::-;;17911:2;17899:9;17890:7;17886:23;17882:32;17879:2;;;-1:-1;;17917:12;17879:2;-1:-1;6197:20;;17873:175;-1:-1;17873:175::o;18055:263::-;;18170:2;18158:9;18149:7;18145:23;18141:32;18138:2;;;-1:-1;;18176:12;18138:2;-1:-1;6345:13;;18132:186;-1:-1;18132:186::o;18325:366::-;;;18446:2;18434:9;18425:7;18421:23;18417:32;18414:2;;;-1:-1;;18452:12;18414:2;-1:-1;;6197:20;;;18604:2;18643:22;;;6197:20;;-1:-1;18408:283::o;18698:672::-;;;;;18864:3;18852:9;18843:7;18839:23;18835:33;18832:2;;;-1:-1;;18871:12;18832:2;6351:6;6345:13;18923:74;;19034:2;19088:9;19084:22;6345:13;19042:74;;19153:2;19207:9;19203:22;6345:13;19161:74;;19272:2;19326:9;19322:22;220:13;238:33;265:5;238:33;:::i;:::-;18826:544;;;;-1:-1;18826:544;;-1:-1;;18826:544::o;19377:259::-;;19490:2;19478:9;19469:7;19465:23;19461:32;19458:2;;;-1:-1;;19496:12;19458:2;6623:6;6617:13;6635:31;6660:5;6635:31;:::i;19643:395::-;;;19773:2;19761:9;19752:7;19748:23;19744:32;19741:2;;;-1:-1;;19779:12;19741:2;6623:6;6617:13;6635:31;6660:5;6635:31;:::i;:::-;19940:2;19990:22;;;;6345:13;19831:72;;6345:13;;-1:-1;;;19735:303::o;21451:690::-;;21644:5;37620:12;38444:6;38439:3;38432:19;38481:4;;38476:3;38472:14;21656:93;;38481:4;21820:5;37295:14;-1:-1;21859:260;21884:6;21881:1;21878:13;21859:260;;;21945:13;;22331:37;;20423:14;;;;38172;;;;21906:1;21899:9;21859:260;;;-1:-1;22125:10;;21575:566;-1:-1;;;;;21575:566::o;23035:343::-;;23177:5;37620:12;38444:6;38439:3;38432:19;-1:-1;42031:101;42045:6;42042:1;42039:13;42031:101;;;38481:4;42112:11;;;;;42106:18;42093:11;;;;;42086:39;42060:10;42031:101;;;42147:6;42144:1;42141:13;42138:2;;;-1:-1;38481:4;42203:6;38476:3;42194:16;;42187:27;42138:2;-1:-1;42484:2;42464:14;-1:-1;;42460:28;23334:39;;;;38481:4;23334:39;;23125:253;-1:-1;;23125:253::o;25349:387::-;22331:37;;;39678:66;39667:78;25600:2;25591:12;;22626:56;25700:11;;;25491:245::o;25743:291::-;;41886:6;41881:3;41876;41863:30;41924:16;;41917:27;;;41924:16;25887:147;-1:-1;25887:147::o;26041:659::-;24894:66;24874:87;;24859:1;24980:11;;22331:37;;;;26552:12;;;22331:37;26663:12;;;26286:414::o;26707:222::-;-1:-1;;;;;40050:54;;;;20522:37;;26834:2;26819:18;;26805:124::o;26936:412::-;27134:2;27148:47;;;37620:12;;27119:18;;;38432:19;;;26936:412;;27134:2;37295:14;;;;38472;;;;26936:412;21088:302;21113:6;21110:1;21107:13;21088:302;;;21174:13;;-1:-1;;;;;40050:54;23476:70;;38172:14;;;;20241;;;;-1:-1;21128:9;21088:302;;;-1:-1;27201:137;;27105:243;-1:-1;;;;;;27105:243::o;27355:370::-;;27532:2;27553:17;27546:47;27607:108;27532:2;27521:9;27517:18;27701:6;27607:108;:::i;27732:629::-;;27987:2;28008:17;28001:47;28062:108;27987:2;27976:9;27972:18;28156:6;28062:108;:::i;:::-;28218:9;28212:4;28208:20;28203:2;28192:9;28188:18;28181:48;28243:108;28346:4;28337:6;28243:108;:::i;28368:210::-;39501:13;;39494:21;22214:34;;28489:2;28474:18;;28460:118::o;28585:432::-;39501:13;;39494:21;22214:34;;28920:2;28905:18;;22331:37;;;;29003:2;28988:18;;22331:37;28762:2;28747:18;;28733:284::o;29024:222::-;22331:37;;;29151:2;29136:18;;29122:124::o;29253:444::-;22331:37;;;-1:-1;;;;;40050:54;;;29600:2;29585:18;;20522:37;40050:54;29683:2;29668:18;;20522:37;29436:2;29421:18;;29407:290::o;29704:780::-;22331:37;;;-1:-1;;;;;40050:54;;;30136:2;30121:18;;20522:37;40050:54;;;;30219:2;30204:18;;20522:37;30302:2;30287:18;;22331:37;30385:3;30370:19;;22331:37;;;;-1:-1;30454:19;;22331:37;29971:3;29956:19;;29942:542::o;30491:668::-;22331:37;;;30895:2;30880:18;;22331:37;;;;30978:2;30963:18;;22331:37;;;;31061:2;31046:18;;22331:37;-1:-1;;;;;40050:54;31144:3;31129:19;;20522:37;-1:-1;30715:19;;30701:458::o;31166:417::-;;22361:5;22338:3;22331:37;31339:2;31457;31446:9;31442:18;31435:48;31497:76;31339:2;31328:9;31324:18;31559:6;31497:76;:::i;31590:363::-;22331:37;;;-1:-1;;;;;40050:54;31939:2;31924:18;;23476:70;31760:2;31745:18;;31731:222::o;31960:548::-;22331:37;;;40266:4;40255:16;;;;32328:2;32313:18;;25302:35;32411:2;32396:18;;22331:37;32494:2;32479:18;;22331:37;32167:3;32152:19;;32138:370::o;33334:310::-;;33481:2;33502:17;33495:47;33556:78;33481:2;33470:9;33466:18;33620:6;33556:78;:::i;33880:481::-;;22361:5;22338:3;22331:37;34085:2;34203;34192:9;34188:18;34181:48;34243:108;34085:2;34074:9;34070:18;34337:6;34243:108;:::i;34368:432::-;22331:37;;;39501:13;;39494:21;34703:2;34688:18;;22214:34;34786:2;34771:18;;22331:37;34545:2;34530:18;;34516:284::o;34807:333::-;22331:37;;;35126:2;35111:18;;22331:37;34962:2;34947:18;;34933:207::o;35147:556::-;22331:37;;;35523:2;35508:18;;22331:37;;;;35606:2;35591:18;;22331:37;35689:2;35674:18;;22331:37;35358:3;35343:19;;35329:374::o;35710:214::-;40266:4;40255:16;;;;25302:35;;35833:2;35818:18;;35804:120::o;35931:256::-;35993:2;35987:9;36019:17;;;36094:18;36079:34;;36115:22;;;36076:62;36073:2;;;36151:1;;36141:12;36073:2;35993;36160:22;35971:216;;-1:-1;35971:216::o;36194:319::-;;36368:18;36360:6;36357:30;36354:2;;;-1:-1;;36390:12;36354:2;-1:-1;36435:4;36423:17;;;36488:15;;36291:222::o;42501:117::-;-1:-1;;;;;40050:54;;42560:35;;42550:2;;42609:1;;42599:12;43307:105;43387:1;43380:5;43377:12;43367:2;;43403:1;;43393:12;43769:113;40266:4;43852:5;40255:16;43829:5;43826:33;43816:2;;43873:1;;43863:12

ipfs://ce8725614f9b4df2ebaf6bb6ccba00eb16100f9cd9efe29dbebda5b8dfca78f8